autoevaluate/autoeval-staging-eval-squad_v2-squad_v2-76c05b-14906070

context stringlengths 169 4.06k	question stringlengths 12 197	answers.text sequence	answers.answer_start sequence	feat_id sequence	feat_title sequence	start_logits sequence	end_logits sequence
Provided is a universal Ku band LNB (9.75/10.600 GHz) which is fitted at the end of the dish and pointed at the correct satellite constellation; most digital receivers will receive the free to air channels. Some broadcasts are free-to-air and unencrypted, some are encrypted but do not require a monthly subscription (known as free-to-view), some are encrypted and require a monthly subscription, and some are pay-per-view services. To view the encrypted content a VideoGuard UK equipped receiver (all of which are dedicated to the Sky service, and cannot be used to decrypt other services) needs to be used. Unofficial CAMs are now available to view the service, although use of them breaks the user's contract with Sky and invalidates the user's rights to use the card.	What is the universal band that digital recievers will receive free to air channels on?	[ "9.75/10.600 GHz", "universal Ku band", "Ku band" ]	[ 37, 14, 24 ]	[ "57096c95200fba1400367fbe", "57096c95200fba1400367fbe", "57096c95200fba1400367fbe" ]	[ "Sky_(United_Kingdom)", "Sky_(United_Kingdom)", "Sky_(United_Kingdom)" ]	[ -0.5751953125, -8.5546875, -8.8515625, -8.8515625, -8.7109375, -9, -9.1953125, -8.9375, -9.1796875, -9.1328125, -8.921875, -9.109375, -8.9140625, -9.125, -9.265625, -8.96875, -8.6328125, -9.1015625, -7.3515625, -7.34765625, -2.345703125, -2.001953125, -0.61572265625, 2.9921875, 3.9296875, 8.0234375, -5.12890625, -0.47509765625, -2.96484375, -4.046875, -2.80859375, -7.1015625, -6.109375, -4.89453125, -5.0859375, -6.46484375, -6.5390625, -1.85546875, -1.0927734375, -6.18359375, -7.45703125, -6.1328125, -7.6796875, -7.8203125, -7.72265625, -8.4765625, -7.74609375, -5.12109375, -8.25, -6.6953125, -7.7578125, -7.06640625, -7.54296875, -7.54296875, -2.51171875, -3.95703125, -5.6171875, -7.7265625, -8.2109375, -8.203125, -7.95703125, -8.2734375, -7.640625, -8.65625, -8.515625, -6.078125, -5.12109375, -7.21484375, -8.3984375, -8.703125, -8.390625, -8.90625, -9.3515625, -9.0078125, -9.28125, -9.0078125, -9.1796875, -9.0390625, -9.1171875, -9.2421875, -9.1640625, -9.4375, -9.3046875, -9.2890625, -9.484375, -9.4375, -9.375, -9.5546875, -9.7578125, -9.359375, -9.375, -9.28125, -9.359375, -9.3125, -9.6640625, -9.5234375, -9.7578125, -9.953125, -9.375, -9.1875, -9.6171875, -9.375, -9.4765625, -9.3828125, -9.6328125, -9.9453125, -9.734375, -9.2109375, -9.234375, -9.1328125, -9.1875, -9.375, -9.5546875, -9.5078125, -9.890625, -7.63671875, -8.8515625, -8.5546875, -8.6328125, -8.7734375, -8.828125, -8.296875, -8.5078125, -8.5, -9.2578125, -9.6640625, -9.3203125, -8.90625, -8.84375, -8.5390625, -8.78125, -8.9140625, -8.765625, -8.7265625, -8.8203125, -8.828125, -9.171875, -9.4609375, -9.140625, -8.765625, -8.7734375, -8.8984375, -8.78125, -8.796875, -8.9453125, -9.125, -9.125, -8.9609375, -8.9296875, -8.9765625, -8.953125, -8.609375, -9.1875, -9.046875, -9.2421875, -9.171875, -9.2109375, -9.1484375, -9.234375, -9.25, -9.0390625, -9.03125, -8.71875, -8.8203125, -9.1484375, -8.9140625, -8.5703125, -8.8984375, -8.8359375, -8.734375, -8.6875, -8.984375, -9.09375, -9.1640625, -9.1015625, -9.1953125, -9.2109375, -9.1796875, -9.2421875, -8.8203125, -9.078125, -9.1953125, -9.09375, -9.0234375, -8.8671875, -8.71875, -8, -7.34765625, -7.34765625, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125 ]	[ -0.1090087890625, -7.796875, -7.93359375, -8.046875, -8.0703125, -7.734375, -7.625, -8.171875, -8.015625, -7.984375, -8, -8.0546875, -8.1875, -7.984375, -7.89453125, -8.0703125, -7.984375, -7.7265625, -3.580078125, -3.580078125, -5.44140625, -4.05859375, -5.28125, -3.48046875, -2.853515625, -0.33056640625, 0.75732421875, 0.7744140625, 5, -2.15625, -2.30078125, -3.84375, -3.193359375, -3.994140625, -2.98828125, -4.55078125, -2.515625, 7.65234375, 9.4921875, -3.962890625, -7.1953125, -6.3046875, -7.08203125, -7.46484375, -6.234375, -7.3515625, -6.87109375, -4.078125, -6.5078125, -6.4453125, -6.57421875, -7.453125, -6.015625, -4.58203125, 0.8388671875, -1.8701171875, -6.6640625, -7.98046875, -7.02734375, -7.78125, -7.79296875, -7.859375, -7.796875, -7.91796875, -7.66796875, -6.375, -4.41796875, -7.90234375, -7.78125, -7.90625, -8.1953125, -7.83984375, -7.546875, -7.7890625, -7.6171875, -7.84765625, -7.671875, -7.42578125, -7, -7.34375, -7.7109375, -7.41015625, -7.63671875, -7.59375, -7.34765625, -7.52734375, -7.7421875, -7.4140625, -6.9609375, -7.62109375, -7.5234375, -7.65234375, -7.69140625, -7.671875, -7.296875, -7.4375, -6.95703125, -4.84765625, -7.234375, -7.69140625, -7.203125, -7.640625, -7.5, -7.69140625, -7.19140625, -6.45703125, -6.23046875, -6.64453125, -7.0078125, -7.4453125, -7.4765625, -7.375, -7.0859375, -7.1484375, -6.76953125, -4.4765625, -5.2890625, -8.5703125, -8.546875, -8.3984375, -8.1640625, -8.328125, -8.4921875, -8.3046875, -7.71484375, -7.09765625, -7.59765625, -7.90234375, -8.3125, -8.5234375, -8.40625, -8.3125, -8.4609375, -8.3984375, -8.359375, -8.3515625, -7.86328125, -7.21875, -7.984375, -8.3671875, -8.4375, -8.296875, -8.3984375, -8.3203125, -8.1171875, -7.9921875, -7.6953125, -8.203125, -8.21875, -8.1484375, -8.15625, -8.21875, -8.046875, -8.1484375, -7.94140625, -7.859375, -8, -8.0546875, -7.97265625, -7.85546875, -8.1796875, -8.234375, -8.484375, -8.2109375, -8.0390625, -8.3125, -8.6328125, -8.328125, -8.3671875, -8.4140625, -8.4921875, -8.125, -8.0234375, -7.8984375, -8.0078125, -7.7265625, -7.88671875, -7.9921875, -7.91796875, -8.3515625, -7.96875, -7.9140625, -7.734375, -8.109375, -8.328125, -8.3359375, -7.81640625, -3.580078125, -3.580078125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125 ]
At the beginning of the 20th century, important advancement in geological science was facilitated by the ability to obtain accurate absolute dates to geologic events using radioactive isotopes and other methods. This changed the understanding of geologic time. Previously, geologists could only use fossils and stratigraphic correlation to date sections of rock relative to one another. With isotopic dates it became possible to assign absolute ages to rock units, and these absolute dates could be applied to fossil sequences in which there was datable material, converting the old relative ages into new absolute ages.	What did using fossils help change for scientists?	[ "" ]	[ -1 ]	[ "5a57f487770dc0001aeefefd" ]	[ "Geology" ]	[ -0.33154296875, -9.0859375, -8.78125, -9.0625, -9.1796875, -8.609375, -8.0390625, -8.9140625, -9.1875, -9.296875, -9.1953125, -8.7109375, -7.69921875, -6.7109375, -4.37890625, -6.296875, -6.515625, -5.7578125, -8.078125, -2.109375, -2.5078125, -1.482421875, -3.08984375, -7.17578125, -6.890625, -4.79296875, -3.607421875, -1.404296875, 0.0064697265625, 2.6640625, 2.5703125, 0.43017578125, -0.0098876953125, -4.4453125, -6.640625, -6.5703125, -8.3203125, -7.0859375, -7.640625, -3.1640625, -3.32421875, -2.16796875, -7.45703125, -7.40625, -8.0078125, -7.26953125, 0.1417236328125, -2.65625, -0.147216796875, 2.837890625, 4.1484375, 4.96484375, -5.74609375, 1.0673828125, -6.4609375, -0.5419921875, -0.6845703125, 2.6171875, -2.0859375, -4.54296875, -6.05859375, -4.56640625, -5.26953125, -4.9453125, -5.91015625, -6.15234375, -5.375, -8.21875, -8.2109375, -3.50390625, -4.00390625, -2.41796875, -7.1171875, -8.1328125, -7.21875, -8.6015625, -8.78125, -7.84375, -3.1015625, -3.046875, -3.693359375, -7.46875, -8.4375, -7.796875, -6.78515625, -7.37109375, -7.4765625, -8.03125, -8.046875, -8.859375, -9.1328125, -9.015625, -8.6171875, -8.3046875, -8.453125, -6.0390625, -6.4453125, -6.4140625, -7.30859375, -7.296875, -7.42578125, -6.92578125, -6.7421875, -7.5625, -7.3359375, -8.109375, -7.58984375, -7.27734375, -7.7421875, -7.7734375, -8.578125, -4.61328125, -6.91796875, -2.201171875, -6.76171875, -7.03125, -8.3671875, -8.7578125, -8.34375, -8.078125, -8.5390625, -3.46875, -4.65234375, -8.8046875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875 ]	[ 0.23095703125, -7.51953125, -7.93359375, -7.90625, -7.70703125, -7.8828125, -7.96484375, -7.8515625, -7.65625, -7.32421875, -7.90234375, -8.3046875, -7.81640625, -7.85546875, -7.140625, -8.1953125, -7.984375, -7.671875, -7.14453125, -4.9765625, -7.921875, -7.3984375, -7.58203125, -7.85546875, -7.2578125, -7.265625, -8.921875, -6.765625, -7.1015625, -6.71875, -5.66015625, -6.6484375, -6.265625, -6.95703125, -7.0859375, -5.921875, -6.1640625, -6.703125, -5.97265625, -4.6640625, -5.51171875, -5.375, -5.00390625, -4.58203125, -4.37890625, -3.03125, 0.388916015625, -0.136962890625, -6.5390625, -4.15625, -4.5625, -1.9052734375, -4.00390625, -3.755859375, -2.03515625, 5.17578125, 2.41796875, -3.134765625, -5.390625, -7.84375, -6.9765625, -6.0703125, -6.3203125, -6.828125, -7.45703125, -7.42578125, -8.4921875, -7.73046875, -7.5078125, -5.33984375, -7.04296875, -7.30859375, -5.96875, -7.3671875, -6.20703125, -5.421875, -5.84375, -5.29296875, 0.81201171875, 0.32568359375, -7.8046875, -8.34375, -7.953125, -8.0703125, -8.7109375, -7.95703125, -7.828125, -8.0859375, -8.1796875, -7.8046875, -7.4921875, -7.609375, -7.796875, -6.734375, -7.12109375, -8.0546875, -8.984375, -8.7421875, -8.46875, -8.3515625, -8.3828125, -7.5703125, -8.640625, -8.296875, -7.875, -8.0625, -8.484375, -8.4609375, -8.4453125, -7.48828125, -6.72265625, -4.0546875, -6.07421875, -7.29296875, -8.5, -7.72265625, -7.21484375, -6.390625, -7.1953125, -7.1640625, -6.515625, -0.884765625, 0.169677734375, -5.65234375, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875 ]
However, attempting to reconcile electromagnetic theory with two observations, the photoelectric effect, and the nonexistence of the ultraviolet catastrophe, proved troublesome. Through the work of leading theoretical physicists, a new theory of electromagnetism was developed using quantum mechanics. This final modification to electromagnetic theory ultimately led to quantum electrodynamics (or QED), which fully describes all electromagnetic phenomena as being mediated by wave–particles known as photons. In QED, photons are the fundamental exchange particle, which described all interactions relating to electromagnetism including the electromagnetic force.[Note 4]	What was used to create a new electromagnetic theory to reconcile the troubles with electromagnetic theory as it used to stand?	[ "quantum mechanics", "the work of leading theoretical physicists", "quantum mechanics", "quantum mechanics" ]	[ 283, 186, 283, 283 ]	[ "573792ee1c456719005744ba", "573792ee1c456719005744ba", "573792ee1c456719005744ba", "573792ee1c456719005744ba" ]	[ "Force", "Force", "Force", "Force" ]	[ -0.487060546875, -8.84375, -8.9296875, -8.640625, -8.640625, -8.6015625, -8.8359375, -8.65625, -8.46875, -8.5625, -8.8515625, -8.890625, -9.0703125, -8.8671875, -8.9609375, -8.2578125, -8.9140625, -8.9140625, -8.875, -8.75, -8.8203125, -8.2265625, -9.046875, -6.23046875, -8.671875, -5.81640625, -5.55078125, -2.505859375, -3.794921875, -0.96923828125, -5.1015625, -3.55078125, -1.5068359375, -3.8671875, -2.166015625, -2.7265625, -2.74609375, -3.552734375, -7.5390625, -8.125, -7.66796875, -7.30078125, -4.92578125, -3.880859375, -6.09765625, -7.1328125, -5.44140625, -3.482421875, -2.4296875, -5.5546875, -6.58203125, -0.87841796875, -1.1845703125, -2.048828125, -3.734375, -3.029296875, -6.0625, -4.16015625, -5.03125, 0.320068359375, -0.264404296875, 1.01171875, -0.1416015625, -1.2373046875, -4.5, -1.1728515625, -6.1171875, -4.01171875, -1.05078125, -3.669921875, -0.52978515625, -1.19140625, 7.06640625, -1.1572265625, -3.58984375, -4.515625, -5.27734375, -1.4736328125, -6.6015625, -6.21875, -4.89453125, -5.54296875, -2.455078125, -4.26171875, -0.01434326171875, -7.8515625, -8.3515625, -7.28125, -3.3828125, -6.453125, -6.6328125, -3.83984375, -6.4296875, -5.16015625, -4.9921875, -5.953125, -6.03515625, -8, -8.6015625, -8.6953125, -8.5078125, -8.4296875, -7.56640625, -8.2578125, -7.1171875, -9.03125, -7.78515625, -7.1796875, -8.1953125, -7.2734375, 0.038909912109375, -4.59765625, -6.890625, -7.88671875, -8.5, -8.6953125, -7.51953125, -9.1328125, -8.7734375, -8.5546875, -9.03125, -8.03125, -8.9921875, -8.359375, -8.2421875, -8.5, -8.90625, -9.1328125, -8.953125, -8.4453125, -9.2734375, -9.3046875, -8.7265625, -8.5546875, -8.5390625, -8.3046875, -6.20703125, -8.0859375, -8.90625, -6.4765625, -6.23046875, -6.23046875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875 ]	[ -0.250244140625, -7.703125, -7.92578125, -8.140625, -8.1875, -8.3125, -8.046875, -8.1171875, -7.99609375, -7.6953125, -8.0546875, -8.15625, -7.93359375, -8.09375, -8.0234375, -8.3046875, -7.66015625, -8.046875, -8.125, -8.25, -8.1015625, -8.28125, -7.45703125, -1.935546875, -8.0078125, -5.59765625, -7.7734375, -6.3359375, -7.45703125, -5.71484375, -7.85546875, -7.52734375, -6.37890625, -7.31640625, -6.25390625, -6.67578125, -7.8984375, -7.78515625, -7.52734375, -7.05078125, -6.43359375, -6.9765625, -8.2265625, -7.890625, -7.96875, -8.046875, -7.5703125, -5.51171875, -2.6640625, -4.20703125, -7.7890625, -3.21484375, -3.935546875, -5.2109375, -7.43359375, -5.96875, -7.37890625, -7.65234375, -7.7421875, -3.794921875, -4.7421875, -5.8046875, -5.55078125, -6.140625, -7.25390625, -6.1328125, -6.84375, -4.359375, -3.177734375, -7.3125, -4.96484375, -3.556640625, -0.7548828125, 6.0390625, 3.302734375, -5.3359375, -7.45703125, -5.625, -7.625, -7.66015625, -7.28515625, -7.0703125, -6.2578125, -6.09765625, -5.6015625, -5.3203125, -5.37109375, -3.384765625, -2.1953125, -5.08984375, -7.07421875, -7.15234375, -6.79296875, -1.9169921875, -7.04296875, -8.5, -8.46875, -8.546875, -7.875, -7.46875, -8.1796875, -8.21875, -7.70703125, -7.74609375, -7.6796875, -6.75390625, -6.77734375, -5.3671875, -6.46484375, -7.25, -1.8759765625, -0.89501953125, -7.66796875, -7.796875, -7.0390625, -7.640625, -7.75390625, -7.54296875, -8.046875, -8.078125, -7.484375, -6.35546875, -7.20703125, -7.9765625, -8.2265625, -8.234375, -7.80078125, -7.82421875, -8.0390625, -7.828125, -7.3046875, -6.765625, -6.21875, -8.1171875, -8.234375, -7.7890625, -5.99609375, -3.642578125, -7.19921875, -6.421875, -1.9375, -1.9365234375, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875 ]
Packet mode communication may be implemented with or without intermediate forwarding nodes (packet switches or routers). Packets are normally forwarded by intermediate network nodes asynchronously using first-in, first-out buffering, but may be forwarded according to some scheduling discipline for fair queuing, traffic shaping, or for differentiated or guaranteed quality of service, such as weighted fair queuing or leaky bucket. In case of a shared physical medium (such as radio or 10BASE5), the packets may be delivered according to a multiple access scheme.	If there is no radio or 10BASE5, how are the packets delivered?	[ "" ]	[ -1 ]	[ "5a66797c846392001a1e1c4b" ]	[ "Packet_switching" ]	[ -0.0369873046875, -7.62109375, -7.515625, -8.4140625, -7.62890625, -7.578125, -9.078125, -9.109375, -9.171875, -9.09375, -8.7265625, -8.9609375, -8.609375, -8.9453125, -9.015625, -9.1484375, -9.109375, -9, -5.2265625, -5.2265625, -8.2265625, -8.546875, -8.6953125, -8.7734375, -9.0078125, -8.90625, -8.7890625, -8.5625, -8.9375, -8.3203125, -7.8984375, -8.53125, -8.6953125, -8.6171875, -8.3828125, -8.8359375, -8.703125, -8.8828125, -7.29296875, -6.60546875, -6.65625, -7.765625, -7.234375, -6.35546875, -3.79296875, -7.7421875, -7.81640625, -8.578125, -7.60546875, -8.1484375, -8.1015625, -7.5859375, -7.89453125, -7.86328125, -8.46875, -8.8359375, -8.8125, -8.6953125, -8.6875, -8.8828125, -9.0234375, -7.4921875, -8.9140625, -7.71484375, -8, -7.9453125, -7.2578125, -8.8359375, -8.7109375, -8.7109375, -8.0234375, -8.4375, -8.4140625, -8.5, -9.046875, -9.1875, -9.0390625, -9.0078125, -9.28125, -9.28125, -9.0546875, -8.6015625, -8.9765625, -8.875, -8.9375, -9.2109375, -9.4140625, -8.265625, -9.5625, -9.2265625, -8.6875, -7.62109375, -8.9140625, -9.1484375, -9.171875, -9.0703125, -7.25390625, -9.0234375, -5.7890625, -5.22265625, 2.166015625, -1.51171875, -3.955078125, -2.51171875, 0.52001953125, -3.9296875, -2.955078125, -6.359375, -6.66015625, -6.5390625, -4.12109375, -6.66796875, -7.53515625, -8.4921875, -8.2578125, -5.62109375, -1.3330078125, 0.6142578125, -2.72265625, -4.68359375, -4.69140625, 2.974609375, 1.001953125, -4.83984375, -1.12890625, 5.234375, -6.359375, -1.95703125, -5.2265625, -5.2265625, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125 ]	[ 0.560546875, -8.7265625, -8.6328125, -7.9453125, -8.34375, -8.0859375, -7.609375, -7.7109375, -7.86328125, -7.95703125, -7.453125, -7.515625, -7.59765625, -7.7109375, -7.68359375, -7.6640625, -7.4765625, -7.62109375, -0.305419921875, -0.30615234375, -8.390625, -8.1171875, -8.0078125, -7.8203125, -8.125, -8.2578125, -8.296875, -8.515625, -8.15625, -8.6796875, -8.75, -7.94140625, -7.68359375, -8.4609375, -8.5703125, -8.3125, -8.1640625, -8.0546875, -6.8203125, -6.51171875, -8.71875, -8.703125, -9.046875, -9.109375, -7.953125, -8, -8.0546875, -7.43359375, -6.984375, -7.43359375, -7.640625, -7.16796875, -7.546875, -8.296875, -8.1953125, -7.9921875, -7.59375, -7.59375, -7.9765625, -7.8515625, -6.99609375, -5.03515625, -6.65234375, -8.65625, -8.84375, -8.8671875, -8.5, -7.890625, -8.140625, -8.234375, -8.515625, -8.1015625, -8.40625, -8.453125, -8.1015625, -7.921875, -8.0234375, -7.984375, -7.61328125, -7.59375, -7.6015625, -8.1953125, -7.97265625, -8.125, -7.98828125, -7.41015625, -7.47265625, -5.84765625, -6.8828125, -7.71875, -8.296875, -8.71875, -8, -7.65625, -7.42578125, -7.64453125, -8.4765625, -7.75, -4.8828125, -2.16796875, -5.4921875, -7.81640625, -8.1328125, -7.7265625, -5.4375, -4.71875, 0.9931640625, -7.21484375, -8.3359375, -8.0859375, -6.94140625, -7.62109375, -8.0078125, -7.46875, -7.109375, -5.62109375, -3.880859375, -6.25, -6.46875, -5.54296875, -6.421875, -3.8828125, -2.57421875, -3.48046875, -3.591796875, -2.716796875, 0.304931640625, 8.3203125, -0.3076171875, -0.306640625, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875 ]
In ring theory, the notion of number is generally replaced with that of ideal. Prime ideals, which generalize prime elements in the sense that the principal ideal generated by a prime element is a prime ideal, are an important tool and object of study in commutative algebra, algebraic number theory and algebraic geometry. The prime ideals of the ring of integers are the ideals (0), (2), (3), (5), (7), (11), … The fundamental theorem of arithmetic generalizes to the Lasker–Noether theorem, which expresses every ideal in a Noetherian commutative ring as an intersection of primary ideals, which are the appropriate generalizations of prime powers.	Which theorem can be simplified to the Lasker–Noether theorem?	[ "The fundamental theorem of arithmetic", "The fundamental theorem of arithmetic", "fundamental theorem of arithmetic", "theorem of arithmetic" ]	[ 413, 413, 417, 429 ]	[ "57299ec43f37b31900478510", "57299ec43f37b31900478510", "57299ec43f37b31900478510", "57299ec43f37b31900478510" ]	[ "Prime_number", "Prime_number", "Prime_number", "Prime_number" ]	[ -0.5205078125, -8.9453125, -8.703125, -8.9921875, -8.9765625, -7.72265625, -8.546875, -8.9296875, -8.7890625, -9.1328125, -9.265625, -9.203125, -9.1640625, -9.21875, -9.0625, -9.1484375, -6.45703125, -6.45703125, -8.6875, -8.1875, -8.0234375, -8.7421875, -8.75, -8.6484375, -9.1015625, -8.3515625, -9.28125, -9.2109375, -8.8984375, -8.7421875, -8.6640625, -8.859375, -7.02734375, -8.5625, -8.1484375, -8, -9.140625, -8.8359375, -8.5546875, -8.8046875, -8.6015625, -8.7421875, -8.5859375, -8.3828125, -8.2265625, -7.67578125, -7.78125, -7.9375, -8.453125, -8.703125, -8.484375, -8.1328125, -8.0234375, -8.4375, -8.515625, -8.34375, -8.5546875, -7.296875, -8.78125, -8.6015625, -8.6328125, -8.625, -8.53125, -8.9375, -8.515625, -8.8515625, -7.328125, -8.578125, -8.7109375, -8.9765625, -9.1171875, -8.8125, -8.8046875, -8.5859375, -8.90625, -8.8359375, -8.8125, -8.546875, -7.82421875, -8.796875, -6.75, -7.3046875, -5.921875, -7.5234375, -7.46484375, -8.5, -8.1640625, -6.96875, -8.625, -3.55078125, -7.15234375, -7.421875, -6.7890625, -8.515625, -8.4296875, -8.734375, -8.6875, -8.6328125, -8.78125, -8.75, -8.5703125, -8.765625, -8.734375, -8.546875, -8.5234375, -8.484375, -8.1875, -7.359375, -7.640625, -4.32421875, -1.453125, 0.02117919921875, 1.080078125, 1.5517578125, -1.345703125, -6.44921875, 0.703125, -1.357421875, -3.076171875, -0.5947265625, -0.094970703125, -3.607421875, -6.90234375, -6.26171875, -5.78515625, -6.0390625, -4.9765625, -1.2265625, -0.64599609375, 3.29296875, 4.29296875, -1.1552734375, -5.55859375, -7.57421875, -7.28125, -5.23046875, -7.26953125, -7.64453125, -6.4140625, -8.078125, -7.75, -2.392578125, -5.1328125, -7.0546875, -4.234375, -7.64453125, -5.35546875, -3.353515625, -6.171875, -6.46875, -6.89453125, -4.609375, -3.703125, -4.7890625, -6.1796875, -6.8359375, -2.58984375, -0.40625, -6.45703125, -6.45703125, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625 ]	[ -0.3056640625, -7.58203125, -8, -7.91796875, -8.03125, -8.3828125, -8.1796875, -7.87890625, -7.9609375, -7.7578125, -7.5234375, -7.515625, -7.52734375, -7.45703125, -7.1875, -7.38671875, -1.9306640625, -1.9296875, -8.09375, -8.2421875, -8.0078125, -7.95703125, -8.109375, -8.140625, -7.8203125, -8.0234375, -7.6171875, -7.5703125, -7.9921875, -8.03125, -8.3046875, -8.1875, -8.109375, -7.4765625, -8.2265625, -7.80859375, -7.859375, -8.3046875, -8.4140625, -8.359375, -8.46875, -8.3125, -8.6171875, -8.7734375, -8.75, -9.203125, -8.9921875, -8.8515625, -8.5390625, -8.390625, -8.6875, -8.9296875, -8.7578125, -8.4765625, -8.53125, -8.671875, -8.4140625, -7.44921875, -8.078125, -8.3203125, -8.390625, -8.515625, -8.53125, -8.3125, -8.5625, -8.28125, -8.703125, -8.4921875, -8.5, -8.2734375, -8.1171875, -8.3203125, -8.3359375, -8.6484375, -8.3828125, -8.3984375, -8.375, -8.6640625, -8.7734375, -8.421875, -7.9765625, -7.83984375, -8.484375, -8.3359375, -8, -8.5078125, -8.703125, -8.328125, -8.2890625, -5.6015625, -8.3515625, -8.328125, -8.1171875, -8.46875, -8.5390625, -8.2265625, -8.5, -8.4375, -8.1953125, -8.4453125, -8.3671875, -8.2109375, -8.4609375, -8.40625, -8.296875, -8.6171875, -8.34375, -7.82421875, -8.484375, -5.6484375, -3.0078125, -2.01171875, -3.45703125, -2.833984375, -3.69140625, -4.03515625, 1.4423828125, -3.41796875, -1.3369140625, -2.82421875, -5.45703125, -7.5625, -7.5234375, -6.390625, -7.3671875, -7.71875, -5.26953125, -2.296875, -2.8359375, -4.97265625, -4.66796875, -6.55859375, -6.38671875, -6.6640625, -6.90234375, -6.4921875, -6.0703125, -5.1015625, -6.0703125, -6.67578125, -5.80078125, -2.22265625, -4.76171875, -5.18359375, -1.2744140625, -4.1328125, -2.087890625, 1.9560546875, 2.712890625, -3.62890625, -6.28515625, -6.88671875, -5.984375, -5.8046875, -3.30859375, -6.03515625, -2.9609375, 3.30859375, -1.9306640625, -1.9306640625, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875 ]
Many complexity classes are defined using the concept of a reduction. A reduction is a transformation of one problem into another problem. It captures the informal notion of a problem being at least as difficult as another problem. For instance, if a problem X can be solved using an algorithm for Y, X is no more difficult than Y, and we say that X reduces to Y. There are many different types of reductions, based on the method of reduction, such as Cook reductions, Karp reductions and Levin reductions, and the bound on the complexity of reductions, such as polynomial-time reductions or log-space reductions.	What are two examples of different types of reduction?	[ "Karp reductions and Levin reductions", "Cook reductions, Karp reductions" ]	[ 469, 452 ]	[ "56e1c9bfe3433e1400423195", "56e1c9bfe3433e1400423195" ]	[ "Computational_complexity_theory", "Computational_complexity_theory" ]	[ -0.1717529296875, -9.2578125, -9.375, -9.2890625, -9.265625, -9.328125, -9.0390625, -9.125, -9.03125, -8.6796875, -9.328125, -3.53515625, -9.203125, -9, -7.7421875, -7.96484375, -8.5234375, -7.61328125, -7.40625, -7.3671875, -6.41796875, -7.73046875, -7.33984375, -3.94921875, -5.125, -3.296875, -3.310546875, -1.9140625, 0.477783203125, 0.0234375, -5.375, -3.1796875, -6.03125, -6.7109375, -7.48828125, -2.95703125, -5.6328125, -2.29296875, -5.3828125, -5.8046875, -5.921875, -5.33984375, -5.6328125, -5.39453125, -5.37890625, -6.62109375, -7.09375, -7.1015625, -7.17578125, -6.2421875, -7.4921875, -7.01171875, -3.16796875, -3.53515625, -2.515625, -2.732421875, -2.21484375, -0.58935546875, -6.5, -6.3671875, -6.29296875, -7.73828125, -7.80078125, -7.328125, -7.62890625, -7.37109375, -5.92578125, -7.2734375, -5.375, -7.3125, -5.67578125, -8.2109375, -7.9296875, -8.3671875, -7.609375, -8.3046875, -5.3359375, -7.14453125, -5.26171875, -5.63671875, -5.55078125, -5.421875, -2.04296875, -6.05859375, -7.74609375, -0.611328125, -1.3076171875, -2.123046875, -5.62890625, -5.07421875, -2.40625, -3.38671875, -5.11328125, -0.85986328125, -2.337890625, 0.293701171875, -2.08984375, 0.97265625, 0.45263671875, -7.23828125, -1.705078125, 0.20166015625, 3.806640625, 0.490478515625, 9.265625, -7.04296875, -6.59765625, -5.67578125, -7.26171875, -5.41796875, -6.0859375, -4.58203125, -0.74560546875, -4.5234375, -5.23046875, -2.412109375, -1.0595703125, -7.546875, -6.73828125, -4.8359375, -7.4921875, -3.3984375, -4.453125, -1.390625, -3.4453125, 9.5390625, -7.2265625, -7.6640625, -7.45703125, -7.20703125, -5.0859375, -6.953125, 2.1015625, -7.78515625, -7.43359375, -0.76318359375, -3.53515625, -8.8671875, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125 ]	[ 0.461669921875, -7.17578125, -7.0390625, -7.0859375, -7.07421875, -7.42578125, -7.6796875, -7.41796875, -7.73046875, -7.66015625, -7.1328125, 2.392578125, -7.97265625, -7.8828125, -8.2734375, -7.890625, -8.3125, -8.4453125, -8.7890625, -8.859375, -8.4296875, -8.59375, -8.59375, -6.98828125, -6.01953125, -7.53125, -7.32421875, -8.6875, -7.453125, -6.62109375, -8.0390625, -7.3203125, -6.71484375, -7.109375, -5.31640625, -1.66796875, -1.9833984375, -7.36328125, -8.3828125, -8.859375, -8.1171875, -8.71875, -9.0859375, -8.921875, -8.375, -8.65625, -8.140625, -8.421875, -8.1640625, -6.69921875, -7.63671875, -6.44921875, -3.1015625, 2.39453125, -7.203125, -5.8671875, -7.40234375, -7.72265625, -8.8515625, -8.2578125, -7.703125, -8.3359375, -8.296875, -8.046875, -8.25, -8.515625, -7.6484375, -8.359375, -7.61328125, -8.3671875, -8.03125, -8.2578125, -8.1328125, -7.74609375, -7.5234375, -7.60546875, -6.73828125, -7.51171875, -7.78125, -8.2265625, -8.046875, -8.203125, -6.55859375, -6.11328125, -5.8984375, -0.3662109375, -1.3642578125, -4.203125, -6.9921875, -7.14453125, -5.75390625, -6.296875, -7.4375, -4.9375, -4.40234375, -3.845703125, -3.111328125, -3.986328125, -2.70703125, -4.33984375, 0.30615234375, -1.212890625, -1.7392578125, -2.298828125, -0.86181640625, 0.73388671875, 0.68408203125, -2.99609375, -1.4404296875, 5.58203125, 3.041015625, -0.369384765625, 10.1015625, 2.626953125, -1.1650390625, -5.34375, -5.34765625, -4.67578125, -4.56640625, 0.65869140625, -1.9443359375, 4.8125, 0.71142578125, -1.7958984375, -3.423828125, -1.310546875, -4.16015625, -3.798828125, -4.53515625, -3.4453125, 4.140625, 1.6337890625, -4.3828125, -2.962890625, -0.6640625, 9.7265625, 2.39453125, -0.221435546875, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125 ]
In 1096, Crusaders passing by the siege of Amalfi were joined by Bohemond of Taranto and his nephew Tancred with an army of Italo-Normans. Bohemond was the de facto leader of the Crusade during its passage through Asia Minor. After the successful Siege of Antioch in 1097, Bohemond began carving out an independent principality around that city. Tancred was instrumental in the conquest of Jerusalem and he worked for the expansion of the Crusader kingdom in Transjordan and the region of Galilee.[citation needed]	When did Tancred lay siege to Antioch?	[ "" ]	[ -1 ]	[ "5ad4017a604f3c001a3ffd1f" ]	[ "Normans" ]	[ -0.919921875, -8.84375, -8.5703125, -8.84375, -9, -8.9140625, -8.8984375, -8.984375, -9.0234375, -8.5078125, -9.0078125, -7.5859375, -8.6171875, -6.93359375, -3.728515625, -5.12890625, -8.140625, -8.5234375, -8.75, -8.6015625, -8.390625, -7.76171875, -7.69921875, -8.328125, -7.19140625, -8.453125, -7.703125, -8.4453125, -8.359375, -8.2421875, -8.03125, -8.8203125, -8.703125, -7.88671875, -8.03125, -8.09375, -8.2421875, -8.2421875, -8.2265625, -8.5234375, -8.578125, -8.3125, -8.484375, -8.53125, -8.8359375, -8.3046875, -8.8984375, -9.0546875, -8.8828125, -6.0078125, -7.86328125, -6.984375, -8.3125, -8.15625, -8.421875, -8.5390625, -8.7734375, -7.9375, -8.5390625, -8.484375, -7.83203125, -8.3046875, -8.4921875, -8.015625, -8.296875, -5.62109375, -5.5, -4.734375, -1.3515625, -1.4619140625, -2.1796875, -2.4765625, -5.5078125, 1.0478515625, -1.1669921875, 6.2109375, -0.467041015625, -6.71875, -7.33984375, -8.453125, -8.6875, -8.6484375, -9.15625, -8.90625, -8.8515625, -8.5, -8.8359375, -8.859375, -8.765625, -5.19140625, -4.51171875, -8.1015625, -8.7578125, -8.859375, -8.7265625, -8.6953125, -8.9453125, -8.796875, -8.6640625, -8.9375, -5.78515625, -8.78125, -8.53125, -8.7890625, -8.8515625, -8.7890625, -8.53125, -8.6875, -8.3984375, -7.8828125, -8.9296875, -8.7734375, -8.53125, -9.2109375, -8.796875, -9.2421875, -9.0859375, -9.265625, -9.1875, -7.8984375, -6.46484375, -8.3046875, -9, -8.8125, -7.61328125, -7.5859375, -7.58203125, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875 ]	[ -0.75390625, -7.73046875, -8.0703125, -8.2421875, -8.0390625, -8.03125, -8.015625, -7.78125, -7.9140625, -7.90234375, -7.73046875, -5.10546875, -8.5703125, -8.578125, -7.171875, -4.234375, -7.609375, -8.3828125, -8.2265625, -8.109375, -8.3203125, -8.6796875, -8.53125, -8.359375, -8.6328125, -8.1328125, -7.1953125, -8.3515625, -8.3828125, -8.5390625, -8.5, -7.9921875, -8.203125, -8.1171875, -7.58203125, -8.5859375, -8.6484375, -7.7421875, -8.46875, -8.390625, -8.171875, -8.4296875, -8.5, -8.2265625, -8.1953125, -8.4453125, -8.09375, -7.99609375, -7.85546875, -6.609375, -7.69921875, -8.2734375, -7.8984375, -8.5078125, -8.359375, -8.2109375, -8.0234375, -8.3828125, -8.4140625, -8.40625, -7.8515625, -8.203125, -8.3515625, -8.2109375, -8.109375, -7.859375, -5.84375, -4.98046875, -6.54296875, -6.4921875, -5.4609375, -6.1875, -7, -4.33984375, -6.03515625, -1.693359375, 5.5859375, -3.23828125, -7.62109375, -6.9375, -7.6640625, -7.76171875, -7.3984375, -7.75, -7.3828125, -7.02734375, -6.8671875, -7.03515625, -7.1015625, -4.9765625, -1.4228515625, -7.55078125, -7.91796875, -7.47265625, -8, -8.265625, -7.98828125, -8.1796875, -8.15625, -7.8203125, -7.61328125, -7.88671875, -8.1640625, -8.2578125, -8.125, -8.234375, -8.2734375, -8.296875, -8.4609375, -7.765625, -7.35546875, -7.76953125, -7.98828125, -7.62109375, -7.0546875, -7.4609375, -7.734375, -7.50390625, -7.515625, -7.16015625, -5.05859375, -5.828125, -7.6171875, -7.71484375, -7.64453125, -5.10546875, -5.10546875, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625 ]
On 1 July 1851, writs were issued for the election of the first Victorian Legislative Council, and the absolute independence of Victoria from New South Wales was established proclaiming a new Colony of Victoria. Days later, still in 1851 gold was discovered near Ballarat, and subsequently at Bendigo. Later discoveries occurred at many sites across Victoria. This triggered one of the largest gold rushes the world has ever seen. The colony grew rapidly in both population and economic power. In ten years the population of Victoria increased sevenfold from 76,000 to 540,000. All sorts of gold records were produced including the "richest shallow alluvial goldfield in the world" and the largest gold nugget. Victoria produced in the decade 1851–1860 20 million ounces of gold, one third of the world's output[citation needed].	How much gold did Victoria produce in 1860?	[ "" ]	[ -1 ]	[ "5a63787868151a001a9222fe" ]	[ "Victoria_(Australia)" ]	[ -1.009765625, -9.03125, -9.0390625, -9.2890625, -8.8125, -9.1171875, -9.1796875, -8.9921875, -9.1171875, -9.0859375, -5.55078125, -5.55078125, -8.3046875, -7.90234375, -8.1328125, -7.8359375, -6.296875, -8.5234375, -8.4765625, -8.9296875, -8.828125, -8.8203125, -8.7734375, -8.5546875, -8.5390625, -8.640625, -8.3828125, -8.3359375, -8.484375, -8.890625, -8.6875, -8.734375, -8.03125, -8.140625, -8.5703125, -8.46875, -8.5078125, -8.0703125, -8.546875, -8.6796875, -9.171875, -8.828125, -8.671875, -8.71875, -8.7421875, -8.34375, -8.3203125, -7.96484375, -8.1953125, -5.66015625, -7.01953125, -8.2734375, -7.5078125, -5.93359375, -7.625, -7.2890625, -7.83203125, -6.01953125, -6.3984375, -7.55078125, -7.94140625, -8.625, -8.546875, -8.890625, -9.0625, -8.796875, -8.828125, -8.859375, -8.453125, -8.8671875, -8.8515625, -8.6875, -8.703125, -8.9140625, -8.9140625, -8.7421875, -8.7734375, -8.90625, -8.125, -8.6328125, -8.3984375, -7.82421875, -7.02734375, -7.69140625, -7.76171875, -7.6796875, -8.3515625, -8.65625, -9.0703125, -8.7578125, -9.2734375, -9.03125, -5.9453125, -9.0859375, -8.328125, -9.078125, -8.8828125, -8.984375, -8.8203125, -8.8515625, -8.765625, -8.953125, -8.9140625, -8.2109375, -8.71875, -7.671875, -8.59375, -8.34375, -8.359375, -8.5390625, -8.5234375, -7.48046875, -8.7578125, -8.875, -8.6796875, -8.53125, -8.09375, -8.6484375, -8.6171875, -8.3203125, -7.3671875, -8.625, -6.7734375, -3.544921875, -7.203125, -8.3984375, -7.6796875, -5.98046875, -4.21484375, -7.93359375, -3.685546875, -2.681640625, -4.76953125, -5.72265625, -7.8046875, -8.5625, -8.5546875, -8.4375, -8.90625, -8.71875, -8.7109375, -8.8046875, -8.6953125, -8.3984375, -6.4921875, -8.53125, -7.4140625, -6.6796875, -6.15625, -6.75390625, -8.6953125, -8.734375, -5.44921875, 2.66796875, 5.39453125, -3.267578125, -4.81640625, -4.98828125, -4.78125, -5.6328125, -4.97265625, -2.435546875, -3.544921875, -1.451171875, 9.4140625, -4.41015625, -2.693359375, -6.40234375, -1.07421875, -2.595703125, 4.796875, -2.427734375, -4.9921875, -4.296875, -4.4921875, -6.6328125, -1.8134765625, -4.76171875, -8.21875, -8.4140625, -4.13671875, -0.78955078125, -5.55078125, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375 ]	[ -0.81396484375, -7.4765625, -7.31640625, -7.25, -7.96875, -7.78125, -7.69140625, -7.7734375, -7.6953125, -7.34375, -1.2890625, -1.2919921875, -8.53125, -8.6328125, -8.1953125, -8.5078125, -8.1484375, -8.4609375, -8.2421875, -8.2265625, -8.3203125, -8.1875, -8.3671875, -8.546875, -8.140625, -8.4921875, -8.6875, -8.6171875, -8.0390625, -7.96484375, -8.1328125, -8.3671875, -8.796875, -8.7109375, -8.3359375, -8.2890625, -8.46875, -8.1015625, -8.3671875, -8.171875, -7.7421875, -7.1328125, -8.21875, -7.9375, -8.0625, -8.5234375, -8.5625, -8.0703125, -8.578125, -6.59765625, -8.3515625, -8.1796875, -8.1328125, -9.2421875, -8.6875, -8.9609375, -8.5234375, -8.46875, -8.7265625, -8.7421875, -8.1796875, -8.0390625, -8.2109375, -7.8359375, -7.98828125, -8.0625, -7.9375, -7.84375, -8.140625, -7.3046875, -7.31640625, -8.3125, -8.09375, -8.2109375, -8.21875, -8.4375, -8.2734375, -8.203125, -8.046875, -8.0234375, -8.3984375, -8.6640625, -8.9921875, -9.0078125, -9.0703125, -8.75, -8.3359375, -7.98046875, -8.0234375, -8.09375, -7.80859375, -7.8671875, -5.9609375, -7.02734375, -8.484375, -7.83203125, -8.1484375, -8.1015625, -8.3046875, -8.3125, -8.2734375, -8.265625, -8.140625, -8.4140625, -7.48046875, -8.671875, -8.3125, -8.5078125, -8.6328125, -8.421875, -8.5234375, -8.171875, -8.3046875, -8.3671875, -8.5078125, -8.6484375, -8.390625, -8.53125, -8.5546875, -8.71875, -8.1953125, -8.3984375, -8.3203125, -5.3203125, -8.0703125, -7.53515625, -8.2265625, -7.765625, -4.94921875, -7.8671875, -4.5234375, -7.875, -8.9921875, -9.1875, -8.7890625, -8.1953125, -8.125, -8.21875, -8.0078125, -8.03125, -7.765625, -8.03125, -7.9140625, -8.1640625, -6.859375, -7.01953125, -7.53515625, -8.5, -7.73828125, -7.9609375, -7.1640625, -7.1328125, -4.33984375, -3.25, -3.65625, -5.03125, -5.97265625, -7.2109375, -6.1015625, -6.7109375, -6.15625, -5.53125, -5.515625, -2.857421875, -1.1708984375, -2.4609375, 6.25390625, -0.58935546875, 8.640625, 2.310546875, -4.00390625, 1.50390625, -3.857421875, -4.375, -1.8173828125, -1.4453125, 6.75390625, -0.10345458984375, -5.21875, -6.23046875, -4.109375, -0.5087890625, -1.2890625, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375 ]
In October 2010, the open-access scientific journal PLoS Pathogens published a paper by a multinational team who undertook a new investigation into the role of Yersinia pestis in the Black Death following the disputed identification by Drancourt and Raoult in 1998. They assessed the presence of DNA/RNA with Polymerase Chain Reaction (PCR) techniques for Y. pestis from the tooth sockets in human skeletons from mass graves in northern, central and southern Europe that were associated archaeologically with the Black Death and subsequent resurgences. The authors concluded that this new research, together with prior analyses from the south of France and Germany, ". . . ends the debate about the etiology of the Black Death, and unambiguously demonstrates that Y. pestis was the causative agent of the epidemic plague that devastated Europe during the Middle Ages".	What scientific journal in France published a prior analysis of the Black Death?	[ "" ]	[ -1 ]	[ "5a2eca47a83784001a7d2484" ]	[ "Black_Death" ]	[ -0.1685791015625, -8.6796875, -8.9765625, -8.953125, -8.90625, -8.59375, -9.0546875, -9.015625, -8.9296875, -8.859375, -8.8359375, -8.890625, -9.046875, -9.15625, -9.0546875, -7.38671875, -7.38671875, -6.60546875, -5.01953125, -4.01953125, -3.97265625, -2.552734375, -1.8203125, -7.1015625, -6.37890625, -4.31640625, -2.103515625, 3.130859375, -7.0625, -4.3671875, -8.5859375, -8.96875, -8.4453125, -9.2109375, -9.1015625, -8.7890625, -8.890625, -9.4765625, -9.3671875, -9.015625, -9.28125, -8.734375, -8.8515625, -8.546875, -8.6796875, -8.515625, -8.0859375, -9.1796875, -9.6328125, -9.6875, -9.953125, -9.453125, -9.078125, -9.1953125, -9.1796875, -8.71875, -8.6015625, -8.875, -8.7265625, -9.2890625, -9.0859375, -9.28125, -9.4296875, -9.171875, -9.3125, -9.1796875, -9.0390625, -2.4140625, -6.9296875, -6.5703125, -7.234375, -7.8046875, -8.1015625, -8.3515625, -8.015625, -9.1484375, -8.78125, -9.1171875, -8.796875, -9.2421875, -9.203125, -9.2578125, -9.2109375, -9.1328125, -8.640625, -9.0390625, -9.1953125, -8.3828125, -8.46875, -8.3828125, -8.890625, -9.1484375, -8.890625, -8.5859375, -8.3359375, -8.4765625, -8.734375, -8.8125, -8.5078125, -8.5625, -8.6953125, -8.6484375, -8.84375, -8.609375, -8.7109375, -8.8984375, -8.8515625, -8.9921875, -8.6640625, -7.25, -8.7578125, -8.5546875, -8.3671875, -8.390625, -8.6015625, -8.3046875, -8.3046875, -8.6015625, -8.828125, -8.6171875, -8.765625, -7.33203125, -5.15625, -8.328125, -7.35546875, -6.26171875, -6.515625, -6.38671875, -6.296875, -6.1875, -5.12890625, -6.01171875, -5.1171875, -4.83203125, -4.07421875, -3.220703125, -4.40234375, -4.66796875, -4.8984375, -6.921875, -4.58984375, -6.6640625, -0.57373046875, -5.69921875, -6.59765625, -7.3828125, -6.73046875, -5.42578125, -8.390625, -7.52734375, -8.25, -7.98828125, -8.015625, -8.75, -8.5859375, -8.3359375, -8.546875, -5.90234375, -8.6484375, -6.890625, -6.1328125, -8.609375, -7.828125, -6.4765625, -6.70703125, -7.078125, -8.6640625, -8.9296875, -8.953125, -8.2265625, -8.25, -8.4375, -9.1953125, -8.4296875, -8.875, -8.859375, -9.0703125, -9.0703125, -9.4453125, -9.1953125, -7.83203125, -8.9765625, -8.8828125, -8.6875, -2.76953125, -3.669921875, -7.38671875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875 ]	[ 0.249755859375, -8.046875, -7.87890625, -7.98828125, -7.9921875, -7.6953125, -7.69921875, -8.0703125, -8.1484375, -8.2109375, -8.1171875, -8.1015625, -8.1328125, -7.8984375, -7.796875, -5.75, -5.75, -7.8671875, -6.97265625, -4.98046875, -4.3828125, -6.83203125, -6.2109375, -7.50390625, -4.80078125, -6.05078125, -4.96484375, -3.087890625, -2.193359375, 5.55859375, -4.94140625, -7.421875, -7.859375, -7.5546875, -7.66796875, -7.5859375, -7.14453125, -7.3828125, -7.55078125, -7.91015625, -7.60546875, -8.046875, -8.140625, -8.375, -8.1875, -8.359375, -8.28125, -7.4296875, -5.46875, -3.947265625, -3.919921875, -7.28125, -7.73046875, -7.57421875, -6.6171875, -7.92578125, -8.3515625, -7.859375, -7.921875, -7.734375, -8.03125, -7.8046875, -7.5546875, -7.9140625, -7.5234375, -6.67578125, -7.64453125, -4.31640625, -6.4375, -8.828125, -8.9609375, -9.0546875, -8.78125, -8.6953125, -8.5859375, -7.890625, -8.03125, -7.87890625, -8.046875, -7.91796875, -7.92578125, -7.56640625, -7.33984375, -8.0546875, -8.3359375, -7.97265625, -7.66796875, -8.3046875, -8.5703125, -8.5859375, -8.1875, -7.75, -8.0625, -8.4921875, -8.828125, -8.5625, -8.421875, -8.3984375, -8.5078125, -8.375, -8.3671875, -8.3828125, -8.1328125, -8.4609375, -8.3671875, -8.40625, -8.390625, -8.3125, -8.125, -7.47265625, -8.1953125, -8.5625, -8.421875, -8.3671875, -8.2890625, -8.71875, -8.6796875, -8.390625, -7.72265625, -8.46875, -8.203125, -8.0859375, -6.92578125, -7.3984375, -8.2421875, -7.6171875, -8.1640625, -8.59375, -8, -7.9296875, -7.9296875, -7.45703125, -7.265625, -8.3203125, -7.64453125, -6.67578125, -7.265625, -8.21875, -6.96484375, -7.83984375, -7.08984375, -7.1328125, -2.111328125, -5.33203125, -7.52734375, -7.1171875, -7.46484375, -8.21875, -8.3515625, -7.59765625, -8.40625, -8.84375, -8.109375, -7.4921875, -8.2421875, -8.3046875, -7.734375, -5.59375, -7.4140625, -8.625, -8.875, -8.3984375, -8.5390625, -9, -9.3203125, -8.625, -8, -7.4921875, -7.76953125, -8.5859375, -8.359375, -7.8671875, -7.328125, -6.7734375, -7.82421875, -7.875, -7.20703125, -6.76953125, -7.296875, -7.35546875, -7.2265625, -7.38671875, -7.296875, -6.2421875, -2.056640625, -3.666015625, -5.75, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875 ]
The first European to travel the length of the Amazon River was Francisco de Orellana in 1542. The BBC's Unnatural Histories presents evidence that Orellana, rather than exaggerating his claims as previously thought, was correct in his observations that a complex civilization was flourishing along the Amazon in the 1540s. It is believed that the civilization was later devastated by the spread of diseases from Europe, such as smallpox. Since the 1970s, numerous geoglyphs have been discovered on deforested land dating between AD 0–1250, furthering claims about Pre-Columbian civilizations. Ondemar Dias is accredited with first discovering the geoglyphs in 1977 and Alceu Ranzi with furthering their discovery after flying over Acre. The BBC's Unnatural Histories presented evidence that the Amazon rainforest, rather than being a pristine wilderness, has been shaped by man for at least 11,000 years through practices such as forest gardening and terra preta.	The BBC's documentary presented evidence that the Amazon had been a pristine wilderness for at least how long?	[ "" ]	[ -1 ]	[ "5a0c7b88f5590b0018dab422" ]	[ "Amazon_rainforest" ]	[ -1.1337890625, -9.1875, -9.1640625, -9.3515625, -8.9375, -9.390625, -8.9765625, -8.90625, -9.234375, -9.0625, -9.0546875, -9.171875, -9.1640625, -9.140625, -9.28125, -9.1484375, -9.171875, -9.1875, -9.0625, -8.90625, -9.5, -6.25, -8.6171875, -7.80078125, -7.484375, -7.30078125, -8.484375, -8.203125, -8.078125, -7.98828125, -8.1015625, -7.78125, -7.16015625, -6.3515625, -7.40234375, -7.5390625, -8.453125, -8.109375, -7.88671875, -7.0390625, -8.296875, -6.30078125, -3.388671875, -3.359375, -3.7421875, -5.25390625, -5.83203125, -3.58984375, -7.69921875, -7.04296875, -3.810546875, -6.48046875, -5.9609375, -7.453125, -7.08984375, -7.69140625, -7.8359375, -8.3515625, -8.25, -8.609375, -8.296875, -8.6796875, -8.3515625, -8.1875, -8.59375, -8.421875, -7.0859375, -8.4140625, -8.15625, -8.1015625, -8.3125, -8.2265625, -7.90625, -7.453125, -7.546875, -8.1953125, -8.1640625, -8.484375, -8.2578125, -8.3203125, -8.2109375, -7.859375, -7.97265625, -7.9140625, -6.390625, -7.0859375, -5.6953125, -4.203125, -8.359375, -9, -8.875, -8.5078125, -8.3125, -8.46875, -8.6875, -8.890625, -8.796875, -8.90625, -8.5703125, -8.953125, -9.1796875, -8.9765625, -9.1484375, -7.84765625, -9.5390625, -9.5, -9.25, -8.8359375, -7.375, -4.09375, -8.1796875, -8.90625, -8.3515625, -8.4921875, -8.9609375, -8.8046875, -8.765625, -9.03125, -8.953125, -8.8828125, -9.015625, -9, -8.921875, -8.765625, -8.7265625, -9.0546875, -9.125, -8.8125, -8.796875, -8.7109375, -8.8359375, -9.203125, -9.046875, -8.5390625, -7.91015625, -8.5, -8.6875, -8.71875, -8.4296875, -8.6171875, -7.66796875, -8.7890625, -8.34375, -8.5625, -4.015625, -8.515625, -8.6171875, -9.046875, -9.21875, -9.296875, -9.015625, -8.78125, -9.046875, -8.96875, -8.859375, -8.6953125, -8.609375, -8.6328125, -8.59375, -8.84375, -8.8125, -8.8671875, -8.640625, -7.859375, -8.6875, -8.78125, -9.2109375, -9.3125, -9.234375, -9.0078125, -8.9375, -8.9296875, -9.0859375, -8.78125, -8.421875, -8.7734375, -8.2734375, -8.3984375, -5.8203125, -4.765625, -2.7890625, -1.7568359375, -3.94921875, -5.234375, -2.857421875, -7.12890625, -5.65625, -2.580078125, -3.177734375, -1.0673828125, 0.444580078125, -4.078125, -5.2890625, -6.94140625, -4.46484375, -3.826171875, -3.65625, -5.94140625, -5.2265625, -5.5234375, -4.7109375, -2.935546875, -2.068359375, -2.271484375, -4.01953125, -3.31640625, -7.60546875, -2.10546875, -1.5654296875, 0.80810546875, -3.572265625, 8.46875, -5.921875, -4.5, -0.8271484375, -7.34765625, -7.78125, -9.21875, -8.625, -7.07421875, -8.8515625, -9.0546875, -6.171875, -8.484375, -8.140625, -4.60546875, -6.25, -9.03125, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625 ]	[ -0.92578125, -7.84765625, -7.765625, -7.6796875, -7.91796875, -7.6328125, -8.1796875, -8.171875, -7.640625, -7.39453125, -7.82421875, -7.73046875, -7.8515625, -7.85546875, -7.4375, -7.49609375, -7.31640625, -7.4765625, -7.5703125, -7.26171875, -6.85546875, -1.2294921875, -8.5234375, -8.390625, -8.546875, -8.265625, -8.046875, -8.28125, -8.5625, -8.5859375, -8.7265625, -8.7890625, -8.09375, -7.4765625, -8.7265625, -8.28125, -7.9140625, -7.92578125, -7.17578125, -6.90625, -8.328125, -8.1171875, -6.265625, -5.7109375, -7.29296875, -8.015625, -7.7109375, -7.1015625, -7.69140625, -6.07421875, -3.82421875, -7.8515625, -8.4765625, -8.75, -8.546875, -8.0546875, -7.69140625, -8.3203125, -8.4375, -8.25, -8.1953125, -8.03125, -8.3984375, -8.0546875, -8.265625, -8.0078125, -7.6875, -8.3671875, -8.65625, -8.296875, -8.421875, -8.546875, -8.3046875, -8.9921875, -8.859375, -8.3671875, -8.09375, -8.4296875, -7.79296875, -8.140625, -8.4609375, -7.8359375, -8.4609375, -8.484375, -8.078125, -7.37890625, -6.546875, -5.21484375, -8.1171875, -7.73828125, -7.11328125, -8.34375, -8.53125, -8.2109375, -8.234375, -8.0078125, -7.9453125, -8.03125, -8.3125, -7.9765625, -7.7734375, -7.67578125, -7.78515625, -7.4921875, -7.22265625, -7.41015625, -7.71875, -7.74609375, -7.234375, -4.1328125, -8.4921875, -8.2421875, -8.1640625, -8.015625, -8.109375, -8.28125, -8.265625, -7.96484375, -8.09375, -8.2890625, -8.1640625, -8.15625, -8.171875, -8.390625, -8.40625, -7.78125, -8.03125, -8.21875, -8.359375, -8.3828125, -8.0078125, -7.86328125, -7.66015625, -8.1171875, -8.1796875, -8.6015625, -8.4296875, -8.40625, -8.515625, -8.390625, -8.53125, -8.2109375, -8.0546875, -7.9765625, -6.77734375, -8.421875, -8.171875, -7.9609375, -7.80859375, -7.73046875, -7.8828125, -7.7890625, -7.890625, -7.8515625, -8.171875, -8.3984375, -8.5234375, -8.3828125, -8.3671875, -8.078125, -8.1875, -8.28125, -8.4296875, -8.203125, -8.25, -8.15625, -7.796875, -7.62890625, -7.4375, -7.55078125, -7.97265625, -8.09375, -7.9921875, -8.21875, -8.3671875, -8.296875, -8.46875, -8.265625, -7.60546875, -6.58984375, -4.3515625, -6.59765625, -7.1015625, -7.0703125, -7.01171875, -7.328125, -5.58203125, -2.337890625, -7.0703125, -6.1328125, -7.1875, -8.4765625, -6.83984375, -7.8671875, -6.890625, -7.24609375, -7.07421875, -7.2578125, -8.8125, -8.78125, -8.3984375, -7.078125, -6.24609375, -7.53515625, -7.4453125, -6.33203125, -6.0078125, -1.3828125, -4.73828125, -4.91015625, -4.078125, -1.3623046875, -2.37109375, 0.70849609375, 9.9453125, -2.669921875, -3.220703125, -4.1015625, -5.6640625, -7.1328125, -5.48828125, -3.705078125, -4.28515625, -5.46484375, -2.826171875, -0.5224609375, -1.2294921875, -5.51953125, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625 ]
The immune system is a system of many biological structures and processes within an organism that protects against disease. To function properly, an immune system must detect a wide variety of agents, known as pathogens, from viruses to parasitic worms, and distinguish them from the organism's own healthy tissue. In many species, the immune system can be classified into subsystems, such as the innate immune system versus the adaptive immune system, or humoral immunity versus cell-mediated immunity. In humans, the blood–brain barrier, blood–cerebrospinal fluid barrier, and similar fluid–brain barriers separate the peripheral immune system from the neuroimmune system which protects the brain.	What connects the peripheral immune system to the neuroimmune system?	[ "" ]	[ -1 ]	[ "5ad49c34ba00c4001a268d9e" ]	[ "Immune_system" ]	[ 0.62255859375, -8.5390625, -8.0078125, -8.703125, -8.65625, -9.015625, -9.109375, -8.7734375, -8.7109375, -8.453125, -9.3671875, -9.3515625, -8.9140625, -6.7734375, -9.171875, -8.6796875, -8.140625, -8.3984375, -8.0625, -7.33984375, -6.24609375, -7.59765625, -6.63671875, -6.9140625, -7.1171875, -8.8359375, -7.296875, -7.93359375, -7.93359375, -6.65625, -8.0078125, -7.3125, -8.5859375, -1.814453125, -6.7734375, -8.4453125, -8.3671875, -8.46875, -7.8671875, -7.796875, -8.1015625, -8.2421875, -7.90234375, -7.35546875, -8.3046875, -8.5859375, -8.734375, -8.6640625, -8.4140625, -8.6171875, -8.3046875, -8.3671875, -7.90234375, -8.578125, -8.359375, -8.3046875, -8.703125, -8.59375, -8.28125, -8.734375, -8.109375, -7.42578125, -8.234375, -8.15625, -7.60546875, -7.37109375, -8.3828125, -8.578125, -8.453125, -5.2109375, -6.7734375, -8.390625, -8.703125, -8.2734375, -8.4765625, -7.67578125, -8.359375, -8.7890625, -8.96875, -9.0625, -9.015625, -8.875, -7.265625, -8.359375, -8.8359375, -8.625, -8.1328125, -6.96484375, -7.23828125, -8.71875, -8.6328125, -8.6171875, -7.40625, -6.578125, -8.7890625, -8.8828125, -9.203125, -8.515625, -7.796875, -8.7421875, -8.890625, -8.7265625, -7.6171875, -8.8203125, -8.7890625, -4.2734375, 1.1416015625, 0.93359375, -1.2333984375, 1.421875, 1.9453125, 2.20703125, -7.3984375, -7.62109375, -7.05859375, -7.234375, -5.8984375, -8.3125, -7.7890625, -8.3671875, -8.3671875, -8.6875, -8.28125, -7.4453125, -6.53515625, -7.1640625, -6.72265625, -7.47265625, -3.654296875, -8.1015625, -7.671875, -2.935546875, -3.2734375, -7.2890625, -7.55078125, -8.28125, -7.7734375, -4.52734375, -6.1875, -6.96875, -8.375, -6.546875, -6.8203125, -5.90625, -7.49609375, -0.86962890625, -6.7734375, -9.0390625, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375 ]	[ 0.984375, -8.09375, -8.265625, -8.3828125, -8.25, -7.9296875, -7.98046875, -8.109375, -8.2578125, -8.0703125, -7.47265625, -7.24609375, -7.66015625, -3.07421875, -8.1171875, -8.140625, -8.1015625, -7.578125, -8.7734375, -8.734375, -8.1328125, -8.4453125, -8.609375, -7.859375, -7.9375, -8.0078125, -7.88671875, -8.3046875, -8.640625, -8.03125, -8.6640625, -8.8515625, -8.0859375, -4.41796875, -3.078125, -8.6171875, -8.484375, -8.3671875, -8.953125, -9, -8.4921875, -8.2109375, -8.7890625, -8.90625, -8.6953125, -8.53125, -8.375, -8.421875, -8.2265625, -8.5546875, -8.75, -8.71875, -8.4375, -8.5625, -8.78125, -8.5078125, -8.46875, -8.3046875, -7.82421875, -8.40625, -8.8203125, -8.9609375, -8.703125, -8.6328125, -9.0703125, -8.765625, -8.453125, -8.1953125, -7.96484375, -6.140625, -3.076171875, -8.390625, -8.140625, -8.328125, -8.4609375, -8.9453125, -8.1640625, -7.87109375, -8.15625, -8.0859375, -7.74609375, -7.9765625, -8.3203125, -7.984375, -8.1640625, -8.3515625, -8.8515625, -9.140625, -8.8046875, -7.79296875, -7.703125, -8.203125, -9.0625, -8.5703125, -7.453125, -6.9375, -7.66796875, -8.5859375, -8.734375, -8.1640625, -7.5625, -8.0390625, -8.5234375, -8.046875, -7.35546875, -4.234375, -3.888671875, -6.44140625, -3.45703125, -4.69921875, -6.2265625, -6.21484375, -6.1171875, -5.36328125, -3.20703125, -3.6171875, -6.58203125, -5.94140625, -6.2578125, -6.375, -5.64453125, -5.1953125, -4.68359375, -4.2890625, -0.42236328125, -1.556640625, -3.6484375, -5.61328125, -6.57421875, -5.7265625, -4.03125, 0.927734375, -1.6728515625, -7.34765625, -7.2890625, -6.83203125, -6.31640625, -5.30859375, -8.1328125, -7.98046875, -6.359375, -5.98046875, -7.74609375, -7.70703125, -6.71484375, 0.2890625, -3.07421875, -5.8671875, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625 ]
While acknowledging the central role economic growth can potentially play in human development, poverty reduction and the achievement of the Millennium Development Goals, it is becoming widely understood amongst the development community that special efforts must be made to ensure poorer sections of society are able to participate in economic growth. The effect of economic growth on poverty reduction – the growth elasticity of poverty – can depend on the existing level of inequality. For instance, with low inequality a country with a growth rate of 2% per head and 40% of its population living in poverty, can halve poverty in ten years, but a country with high inequality would take nearly 60 years to achieve the same reduction. In the words of the Secretary General of the United Nations Ban Ki-Moon: "While economic growth is necessary, it is not sufficient for progress on reducing poverty."	What isn't economic growth sufficient for progress on?	[ "reducing poverty", "reducing poverty", "reducing poverty" ]	[ 884, 884, 884 ]	[ "572a1a5c6aef051400155288", "572a1a5c6aef051400155288", "572a1a5c6aef051400155288" ]	[ "Economic_inequality", "Economic_inequality", "Economic_inequality" ]	[ -0.9150390625, -7.9765625, -7.8359375, -8.3515625, -8.015625, -8.3359375, -8.2578125, -8.515625, -8.3203125, -8.3984375, -8.015625, -6.3671875, -8.9140625, -8.2734375, -6.6171875, -7.4765625, -7.47265625, -6.78125, -6.25390625, -7.90234375, -7.578125, -7.84765625, -7.51171875, -6.4375, -6.25390625, -7.875, -7.27734375, -3.51171875, -7.47265625, -7.8515625, -6.9453125, -6.85546875, -7.9765625, -6.484375, -5.734375, -8.5546875, -3.083984375, -6.0234375, -7.73046875, -8.7265625, -8.7265625, -8.7734375, -8.1875, -8.8203125, -8.4609375, -8.3671875, -7.48046875, -7.39453125, -8.2265625, -8.3515625, -8.71875, -8.71875, -8.125, -7.80859375, -7.0234375, -7.44140625, -8.84375, -9.046875, -8.15625, -9, -8.6875, -8.25, -8.171875, -8.171875, -7.4921875, -4.05859375, -4.9453125, -7.3828125, -7.7890625, -8.2890625, -7.61328125, -8.359375, -8.03125, -7.16796875, -8.21875, -8.4453125, -7.45703125, -7.6171875, -8.9140625, -8.84375, -9.078125, -6.4375, -8.4375, -8.09375, -7.9765625, -7.79296875, -7.15625, -7.5625, -7.84375, -8.4375, -4.6796875, -6.3671875, -6.87890625, -6.78125, -5.19140625, -5.2734375, -7.73046875, -6.6875, -5.75, -7.41796875, -7.66015625, -7.6640625, -7.5859375, -8.234375, -8.078125, -7.12109375, -8.265625, -8.578125, -8.4921875, -8.0078125, -7.89453125, -8.5859375, -8.328125, -8.265625, -8.21875, -8.65625, -8.6015625, -3.666015625, -8.3125, -8.015625, -8.3125, -8.7265625, -7.46875, -8.84375, -8.765625, -7.1171875, -7.87109375, -6.23046875, -5.2109375, -7.09375, -8.21875, -7.765625, -7.71484375, -8.5234375, -8.7578125, -8.765625, -9.0234375, -8.859375, -8.765625, -8.7109375, -8.4140625, -8.8125, -4.0078125, -3.828125, -4.109375, -6.6953125, -6.89453125, -7.79296875, -6.75390625, -5.84375, -8.09375, -8.53125, -8.078125, -7.11328125, -3.04296875, -3.9375, -8.5234375, -8.390625, -3.2265625, -4.87109375, -3.32421875, 0.2548828125, 1.1123046875, -2.783203125, -2.064453125, 1.7080078125, -1.625, -0.328369140625, -5.203125, -2.986328125, -2.177734375, -1.9091796875, -0.58349609375, -1.107421875, 5.671875, 0.9794921875, -1.322265625, -6.3671875, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625 ]	[ -0.849609375, -8.171875, -8.46875, -8.265625, -8.4140625, -7.83203125, -7.9140625, -8.2890625, -8.359375, -8.25, -8.1484375, -2.537109375, -8.1796875, -8.40625, -8.8671875, -9.015625, -8.734375, -8.8359375, -8.796875, -8.1796875, -8.8671875, -8.5390625, -8.75, -9.1640625, -8.734375, -8.2734375, -8.9375, -7.42578125, -5.68359375, -8.3671875, -8.84375, -8.421875, -8.515625, -8.4921875, -7.73046875, -7.4453125, -5.0390625, -7.10546875, -8.609375, -8.1171875, -8.2265625, -8.1875, -8.3125, -8.21875, -8.5703125, -8.2421875, -6.87109375, -8.9453125, -8.3203125, -8.2109375, -8.1171875, -8.265625, -8.3828125, -8.875, -9.203125, -8.3203125, -7.01953125, -7.3984375, -5.4140625, -7.7578125, -8.078125, -8.4296875, -8.09375, -8.2578125, -8.078125, -5.9140625, -5.9296875, -8.8046875, -8.7890625, -8.6875, -8.6796875, -8.265625, -8.703125, -8.6484375, -7.828125, -8.1953125, -9.1328125, -8.734375, -7.85546875, -8.078125, -7.9453125, -7.43359375, -7.93359375, -8.640625, -8.59375, -8.875, -9.0546875, -8.7890625, -8.59375, -8.453125, -6.59375, -2.537109375, -8.15625, -7.828125, -8.875, -8.8984375, -8.3515625, -8.078125, -9.0390625, -8.7421875, -8.7890625, -8.9453125, -8.6796875, -8.453125, -8.6875, -8.703125, -8.3515625, -8.3984375, -8.2109375, -8.6640625, -8.5078125, -8.125, -8.484375, -8.65625, -8.1171875, -8.15625, -8.25, -5.765625, -8.375, -8.7265625, -8.40625, -8.390625, -7.58203125, -7.97265625, -7.91015625, -7.3828125, -7.640625, -8.75, -8.953125, -8.328125, -7.8671875, -8.078125, -7.25, -8.03125, -7.4921875, -7.8046875, -7.390625, -6.9140625, -7.80078125, -7.95703125, -8.1875, -7.7421875, -5.125, -3.87109375, -6.6640625, -8.0859375, -7.3671875, -7.96484375, -8.40625, -7.8203125, -6.5625, -7.2734375, -7.53125, -6.8671875, -3.615234375, -6.5390625, -6.4453125, -6.61328125, -3.9921875, -6.61328125, -7.62109375, -5.45703125, -5.63671875, -6.00390625, -6.9765625, 0.16650390625, -1.7529296875, -5.421875, -6.98046875, -6.54296875, -3.541015625, -7.4453125, -6.46875, -5.796875, -2.826171875, 5.4609375, 0.47412109375, -2.53515625, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875 ]
Each year, the southern California area has about 10,000 earthquakes. Nearly all of them are so small that they are not felt. Only several hundred are greater than magnitude 3.0, and only about 15–20 are greater than magnitude 4.0. The magnitude 6.7 1994 Northridge earthquake was particularly destructive, causing a substantial number of deaths, injuries, and structural collapses. It caused the most property damage of any earthquake in U.S. history, estimated at over $20 billion.	How many earthquakes does southern California experience in a year?	[ "10,000", "10,000", "10,000" ]	[ 50, 50, 50 ]	[ "5705fec152bb89140068977a", "5705fec152bb89140068977a", "5705fec152bb89140068977a" ]	[ "Southern_California", "Southern_California", "Southern_California" ]	[ -0.8388671875, -9.0625, -8.9296875, -9.015625, -8.8984375, -8.8984375, -9.0078125, -8.25, -8.921875, -8.9453125, -8.5078125, -8.78125, -5.69921875, -6.828125, -1.1396484375, -0.5830078125, 1.775390625, 0.8115234375, -0.74267578125, -1.8203125, 0.5224609375, 1.83984375, 6.91796875, 8.3671875, -5.74609375, -0.884765625, -1.8359375, -3.388671875, -4.67578125, -7.91796875, -8.0234375, -7.33984375, -8.6171875, -8.6796875, -8.015625, -8.734375, -8.625, -9.1015625, -9.0859375, -3.427734375, -4.44140625, -4.18359375, -6.74609375, -7.90234375, -8.6796875, -8.9453125, -9.0390625, -8.875, -8.734375, -9.5, -8.7890625, -8.96875, -8.4921875, -7.6484375, -7.53125, -7.10546875, -8.875, -8.78125, -8.6484375, -8.3359375, -8.640625, -7.62890625, -7.87109375, -8.4140625, -5.58984375, -6.53515625, -7.5390625, -7.484375, -8.421875, -9.1328125, -8.7109375, -6.92578125, -7.95703125, -8.875, -8.8203125, -9.1796875, -9.4140625, -9.015625, -8.984375, -9.0390625, -8.9609375, -9.0859375, -9.0546875, -8.984375, -8.9921875, -9.0703125, -9.3125, -9.3125, -9.2890625, -9.4765625, -8.609375, -9.0703125, -8.734375, -8.9609375, -8.7109375, -8.8203125, -9.2421875, -9.2421875, -8.7734375, -8.703125, -9.0546875, -9.15625, -9.015625, -9.3125, -9.3203125, -9.359375, -8.4296875, -9.140625, -9.046875, -9.0625, -8.4921875, -8.6796875, -9.046875, -8.3203125, -5.69921875, -9.0390625, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375 ]	[ -0.615234375, -7.83203125, -7.828125, -7.45703125, -8.109375, -8.1328125, -7.515625, -8.09375, -7.97265625, -7.953125, -7.75, -7.76171875, -0.392333984375, -8.7734375, -5.12109375, -3.900390625, -4.3515625, -6.05859375, -6.24609375, -4.8125, -3.87109375, -3.73046875, -1.083984375, -0.57568359375, -1.5576171875, 6.62109375, 5.08203125, 1.0556640625, -6.921875, -7.9609375, -8.265625, -8.046875, -7.890625, -7.72265625, -6.6953125, -7.921875, -7.9140625, -7.4453125, -7.29296875, -1.681640625, -4.28125, -7.30859375, -7.5, -7.1484375, -7.4375, -6.6484375, -6.8359375, -6.44140625, -6.4921875, -5.8359375, -5.21875, -5.3671875, -6.36328125, -6.84765625, -7.4453125, -7.5390625, -6.20703125, -6.66015625, -7.421875, -6.390625, -6.3984375, -5.66015625, -4.578125, -2.322265625, 0.25390625, -2.052734375, -7.58203125, -8.046875, -7.328125, -7.125, -6.7109375, -7.18359375, -7.828125, -6.77734375, -6.109375, -7.68359375, -7.54296875, -7.3125, -8.0703125, -7.90234375, -8, -7.95703125, -7.9765625, -8.0859375, -8.015625, -8.0390625, -7.5, -7.6875, -7.71875, -7.28125, -6.01171875, -6.41015625, -7.93359375, -7.93359375, -8.296875, -8.3125, -7.84765625, -7.6796875, -8.296875, -8.296875, -7.38671875, -7.84375, -7.6328125, -7.375, -7.43359375, -7.47265625, -7.76953125, -7.86328125, -7.7734375, -7.81640625, -7.921875, -7.9375, -7.484375, -7.15625, -0.393310546875, -8.046875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875 ]
The plague disease, caused by Yersinia pestis, is enzootic (commonly present) in populations of fleas carried by ground rodents, including marmots, in various areas including Central Asia, Kurdistan, Western Asia, Northern India and Uganda. Nestorian graves dating to 1338–39 near Lake Issyk Kul in Kyrgyzstan have inscriptions referring to plague and are thought by many epidemiologists to mark the outbreak of the epidemic, from which it could easily have spread to China and India. In October 2010, medical geneticists suggested that all three of the great waves of the plague originated in China. In China, the 13th century Mongol conquest caused a decline in farming and trading. However, economic recovery had been observed at the beginning of the 14th century. In the 1330s a large number of natural disasters and plagues led to widespread famine, starting in 1331, with a deadly plague arriving soon after. Epidemics that may have included plague killed an estimated 25 million Chinese and other Asians during the 15 years before it reached Constantinople in 1347.	What is the term for a disease that is not commonly present?	[ "" ]	[ -1 ]	[ "5a2eb95ca83784001a7d242d" ]	[ "Black_Death" ]	[ 0.85107421875, -8.84375, -8.875, -8.875, -8.8515625, -8.7734375, -8.6953125, -8.9140625, -8.9296875, -8.9140625, -8.9140625, -9.1875, -8.9453125, -9.15625, -7.86328125, -7.86328125, -1.5302734375, 0.416015625, -0.7080078125, -2.9609375, -4.16796875, -7.0390625, -4.72265625, -7.80859375, -7.5546875, -6.1171875, -4.2265625, -1.7919921875, -2.220703125, -0.365966796875, -6.71484375, -4.03515625, -5.640625, -5.96484375, -7.95703125, -5.3203125, -5.10546875, -5.21484375, -7.86328125, -8.6875, -7.921875, -9.1953125, -8.8515625, -9.140625, -9.0859375, -8.796875, -9.203125, -9.1484375, -9.296875, -9.5078125, -9.3828125, -9.0625, -9.015625, -9.3046875, -9.4765625, -9.0703125, -8.8046875, -9.1953125, -9.1953125, -9.5, -9.34375, -9.3671875, -9.296875, -9.2734375, -9.2890625, -9.265625, -9.390625, -5.52734375, -4.84375, -8.171875, -9.3125, -8.9296875, -9.2734375, -9.171875, -9.28125, -9.3359375, -9.3828125, -9.0234375, -9, -8.984375, -9.2265625, -9.2734375, -9.3359375, -9.34375, -8.7421875, -9.3046875, -9.3046875, -8.71875, -9.0703125, -9.21875, -9.1953125, -9.2890625, -8.9453125, -8.3671875, -8.96875, -8.84375, -8.984375, -9.1640625, -9.1015625, -9.28125, -9.484375, -9.2734375, -8.8203125, -8.890625, -8.78125, -9.0703125, -8.921875, -8.9765625, -8.5859375, -9.140625, -8.6484375, -8.6875, -8.640625, -8.6640625, -8.9140625, -8.8828125, -8.6796875, -8.8359375, -7.375, -8.9921875, -7.05078125, -8.28125, -8.4609375, -8.8828125, -8.4765625, -8.765625, -8.796875, -9.109375, -9.1015625, -8.6640625, -8.2734375, -8.234375, -8.59375, -8.4921875, -8.5625, -8.890625, -8.7421875, -8.609375, -8.40625, -8.296875, -9.1328125, -8.9140625, -7.171875, -9.28125, -8.2734375, -7.46875, -9.09375, -8.578125, -9.1015625, -9.4375, -9.28125, -8.828125, -9.1015625, -9.2109375, -9.1015625, -9.3046875, -9.28125, -9.15625, -9.3203125, -8.8984375, -7.86328125, -8.7421875, -8.7265625, -8.890625, -9.1640625, -8.9921875, -8.9453125, -9.34375, -9.1328125, -8.9140625, -9.0234375, -8.8828125, -8.7890625, -8.640625, -9.3984375, -8.7734375, -8.734375, -8.6796875, -8.75, -8.953125, -9.0390625, -9.015625, -8.828125, -9.0703125, -9.15625, -8.984375, -9.125, -9.1484375, -9.0390625, -9.109375, -9.2109375, -9.015625, -8.875, -8.9296875, -8.7890625, -8.84375, -8.796875, -8.671875, -8.6484375, -8.7265625, -8.5625, -8.34375, -8.40625, -8.875, -9.0390625, -9.078125, -9.1015625, -8.9140625, -8.546875, -8.8125, -8.921875, -8.9609375, -8.984375, -8.875, -8.84375, -9, -9.1640625, -8.9765625, -9.1640625, -9.09375, -9.2109375, -8.9921875, -9.1484375, -9.2421875, -9.3046875, -9.171875, -8.984375, -9.1796875, -9.1015625, -8.8984375, -8.765625, -9.1015625, -8.359375, -9.0390625, -8.796875, -8.8359375, -7.86328125, -9.125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125 ]	[ 1.1787109375, -7.96875, -8, -8.0625, -8.03125, -8.1484375, -8.34375, -8.1015625, -7.9765625, -8.125, -8.1796875, -7.91015625, -7.80859375, -7.7578125, -6.17578125, -6.1796875, -5.9296875, -3.69921875, -3.791015625, -6.34375, -8.3046875, -8.625, -8.5078125, -8.6171875, -7.921875, -7.9375, -6.54296875, -7.01953125, -7.63671875, -6.3984375, -4.359375, 1.6796875, -7.6875, -8.6015625, -7.91015625, -7.07421875, -7.9453125, -8.078125, -7.47265625, -7.515625, -7.53515625, -7.18359375, -7.52734375, -7.57421875, -7.48046875, -5.84375, -7.48828125, -7.5078125, -7.56640625, -7.42578125, -6.7265625, -6.359375, -7.16796875, -7.37890625, -7.01171875, -7.71484375, -7.99609375, -7.50390625, -7.640625, -7.1796875, -7.37109375, -7.53515625, -7.375, -7.38671875, -7.55078125, -7.3125, -7.35546875, -4.55078125, -4.2109375, -8.390625, -7.71875, -7.97265625, -7.7890625, -7.97265625, -7.7578125, -7.73828125, -7.4921875, -7.859375, -8.015625, -7.9921875, -7.67578125, -7.67578125, -7.4765625, -7.7734375, -7.9609375, -7.4765625, -7.53515625, -6.8671875, -7.96484375, -7.921875, -7.80859375, -7.76171875, -8.1484375, -7.73046875, -8.234375, -8.234375, -8.2109375, -8.0078125, -8.0859375, -7.76953125, -7.69140625, -7.6953125, -8.3984375, -8.234375, -8.3828125, -8.03125, -8.2265625, -8.0546875, -7.5546875, -7.99609375, -8.3984375, -8.5546875, -8.421875, -8.5390625, -8.3046875, -8.296875, -8.234375, -8.171875, -8.59375, -8.078125, -6.76953125, -5.3515625, -8.6796875, -8.3359375, -8.21875, -8.4375, -8.3828125, -8.1171875, -8.2109375, -8.6015625, -8.8671875, -8.703125, -8.3203125, -8.6328125, -8.6328125, -8.3125, -8.28125, -8.609375, -8.6953125, -8.0703125, -8.0546875, -8.2578125, -7.92578125, -7.60546875, -8.4765625, -8.421875, -8.078125, -8.4921875, -7.90234375, -7.62890625, -7.79296875, -8.15625, -7.87109375, -7.89453125, -8.0625, -7.77734375, -7.7734375, -7.828125, -7.7734375, -7.9453125, -6.17578125, -8.4296875, -8.5234375, -8.203125, -8.0390625, -8.2265625, -8.296875, -7.8515625, -8.0859375, -8.2265625, -8.0078125, -8.3359375, -8.359375, -8.0625, -7.625, -7.4375, -8.421875, -8.609375, -8.53125, -8.3515625, -8.234375, -8.2734375, -8.4609375, -8.25, -8.15625, -8.265625, -8.15625, -8.1171875, -8.2890625, -8.21875, -8.0703125, -8.3125, -8.453125, -8.40625, -8.3359375, -8.5, -8.5390625, -8.625, -8.609375, -8.546875, -8.75, -8.8671875, -8.78125, -8.375, -8.046875, -8.15625, -8.1015625, -8.2265625, -8.5859375, -8.3828125, -8.3515625, -8.328125, -8.3515625, -8.4140625, -8.4921875, -8.0625, -8.0859375, -8.328125, -8.09375, -8.171875, -8.0859375, -8.171875, -8.1484375, -8.015625, -7.8515625, -8.1640625, -8.34375, -8.140625, -8.2421875, -8.3671875, -8.4765625, -8.1875, -8.4609375, -8.2421875, -8.328125, -8.25, -6.1796875, -8.265625, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375 ]
In ring theory, the notion of number is generally replaced with that of ideal. Prime ideals, which generalize prime elements in the sense that the principal ideal generated by a prime element is a prime ideal, are an important tool and object of study in commutative algebra, algebraic number theory and algebraic geometry. The prime ideals of the ring of integers are the ideals (0), (2), (3), (5), (7), (11), … The fundamental theorem of arithmetic generalizes to the Lasker–Noether theorem, which expresses every ideal in a Noetherian commutative ring as an intersection of primary ideals, which are the appropriate generalizations of prime powers.	What type of ideals generalize Noetherian arithmetic?	[ "" ]	[ -1 ]	[ "5a89473c3b2508001a72a599" ]	[ "Prime_number" ]	[ 0.472900390625, -9.015625, -9.328125, -9.3203125, -9.3828125, -9.203125, -9.3359375, -9.1171875, -9.234375, -9.390625, -9.03125, -9.25, -7.59765625, -7.59765625, -7.1015625, -6.9140625, -6.19140625, -7.30078125, -8.0546875, -8.2734375, -8.921875, -7.7109375, -9, -8.5703125, -8.6640625, -7.80078125, -7.6640625, -7.765625, -1.1474609375, -4.1171875, -2.2734375, -7.07421875, -8.09375, -7.21484375, -6.5390625, -8.359375, -6.890625, -6.15625, -7.51171875, -6.75, -5.00390625, -4.5625, -3.64453125, -4.46875, -7.2734375, -8.6171875, -8.953125, -8.6640625, -7.796875, -8.4375, -8.78125, -8.5625, -8.078125, -4.796875, -7.45703125, -8.453125, -8.8046875, -8.515625, -7.3046875, -9.2421875, -9, -9.2890625, -7.06640625, -8.6953125, -8.5, -9.0703125, -9.3203125, -8.8515625, -9.015625, -9.109375, -9.296875, -9.484375, -9.34375, -9.203125, -8.84375, -9.4453125, -5.359375, -4.87890625, -4.515625, -7.8125, -9.09375, -8.8671875, -8.328125, -7.1953125, -8.7265625, -3.673828125, -5.99609375, -3.5703125, -1.8037109375, -3.791015625, -6.359375, -8.296875, -8.078125, -8.2421875, -7.96875, -7.97265625, -8.0234375, -7.90625, -8.140625, -7.94921875, -8.09375, -8.296875, -7.96484375, -7.7578125, -8.328125, -6.76953125, -4.171875, -3.84765625, -3.623046875, -5.1953125, -4.5625, -8.4921875, -5.546875, -5.359375, -6.08203125, -4.25390625, -2.62890625, -2.130859375, -8.4453125, -8.53125, -8.625, -8.703125, -7.58203125, -1.568359375, -4.46875, -3.53515625, -2.5703125, -5.10546875, -6.45703125, -8.625, -8.28125, -8.140625, -8.71875, -8.8125, -7.9453125, -8.734375, -8.7734375, -5.37890625, -5.87890625, -6.4140625, -3.095703125, -5.453125, -3.330078125, -3.990234375, -7.0078125, -6.7578125, -7.4375, -5.77734375, -5.76171875, -7.0625, -7.0390625, -8.0625, -4.58203125, -1.6591796875, -7.59765625, -7.59765625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625 ]	[ 1.15234375, -7.6171875, -7.546875, -7.5625, -7.4375, -7.69140625, -7.65234375, -7.96484375, -7.94140625, -7.64453125, -7.546875, -7.52734375, -5.125, -5.125, -8.5859375, -8.4609375, -7.2421875, -7.546875, -8.703125, -8.3125, -8.078125, -8.4609375, -8.046875, -8.125, -8.1953125, -8.9453125, -8.9453125, -8.84375, -5.27734375, -3.888671875, -3.591796875, -1.2587890625, -1.931640625, -7.53125, -7.64453125, -7.04296875, -7.2421875, -3.5859375, -7.49609375, -8.40625, -8.1875, -8.75, -8.421875, -8.3125, -7.65234375, -6.921875, -7.14453125, -7.30078125, -7.171875, -4.6796875, -6.9765625, -6.828125, -5.73828125, -0.07275390625, -1.87890625, -6.85546875, -7.22265625, -7.83203125, -7.5859375, -7.61328125, -7.7265625, -7.42578125, -6.89453125, -7.73046875, -8.328125, -7.89453125, -7.58203125, -7.0234375, -7.4453125, -7.72265625, -7.59765625, -7.19921875, -7.4609375, -7.58203125, -7.5234375, -7.2265625, -3.908203125, -1.4912109375, -7.0390625, -7.5, -6.6171875, -7.59765625, -8.21875, -7.76953125, -7.6640625, -4.76953125, -5.92578125, -6.0703125, -5.3984375, -8.2265625, -8.171875, -5.625, -7.34375, -7.18359375, -5.19921875, -7.2109375, -7.00390625, -4.484375, -6.8515625, -6.30078125, -3.796875, -6.609375, -5.4296875, -2.736328125, -5.421875, -3.12109375, 2.2890625, -0.05059814453125, -6.83203125, -7.109375, -6.01171875, -7.48046875, -6.28125, -7.39453125, -6.5703125, -7.953125, -7.79296875, -7.4140625, -7.23828125, -6.71484375, -6.24609375, -6.0078125, -4.80078125, -2.701171875, -4.7109375, -8.3125, -8.1953125, -8.421875, -8.2890625, -7.96484375, -8.1328125, -8.4140625, -8.25, -7.8984375, -8.3671875, -8.0546875, -7.77734375, -6.85546875, -8.421875, -8.21875, -5.3203125, -7.265625, -4.29296875, -1.603515625, -2.47265625, -6.25, -7.8828125, -8.03125, -7.16015625, -7.0546875, -5.33203125, -7.19921875, -5.7421875, -1.017578125, -5.125, -5.12890625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625 ]
Immediately after Decision Time a "Members Debate" is held, which lasts for 45 minutes. Members Business is a debate on a motion proposed by an MSP who is not a Scottish minister. Such motions are on issues which may be of interest to a particular area such as a member's own constituency, an upcoming or past event or any other item which would otherwise not be accorded official parliamentary time. As well as the proposer, other members normally contribute to the debate. The relevant minister, whose department the debate and motion relate to "winds up" the debate by speaking after all other participants.	What does the minister who was the catalyst of the Members Business do by speaking after everyone else?	[ "winds up", "winds up", "\"winds up\" the debate" ]	[ 548, 548, 547 ]	[ "572fc659b2c2fd140056844b", "572fc659b2c2fd140056844b", "572fc659b2c2fd140056844b" ]	[ "Scottish_Parliament", "Scottish_Parliament", "Scottish_Parliament" ]	[ -0.433349609375, -8.671875, -8.6015625, -8.4453125, -8.5078125, -8.859375, -8.609375, -8.3203125, -5.98046875, -8.265625, -8.734375, -8.546875, -7.9765625, -8.703125, -8.9140625, -8.9609375, -9.21875, -9.15625, -9.375, -8.84375, -9.109375, -9.09375, -9.25, -9.046875, -8.921875, -8.1796875, -8.8671875, -9.25, -8.9296875, -8.9765625, -9.015625, -9.625, -9.2265625, -9.109375, -9.3125, -9.109375, -9.1796875, -9.203125, -9.2734375, -8.890625, -9.4375, -8.9375, -8.9453125, -8.8515625, -8.5078125, -8.25, -8.4140625, -8.25, -8.109375, -8.3046875, -8.3203125, -7.984375, -8.2890625, -8.640625, -8.4375, -8.140625, -7.640625, -7.28125, -7.77734375, -6.0703125, -9.03125, -8.8515625, -7.80859375, -8.15625, -7.89453125, -7.83203125, -8.65625, -8.6015625, -8.5546875, -8.5625, -8.25, -8.25, -7.875, -8.046875, -7.5625, -8.484375, -8.2265625, -7.84765625, -8.2578125, -8.625, -8.71875, -8.625, -8.40625, -8.125, -8.203125, -8.59375, -8.3046875, -8.25, -8.4609375, -8.40625, -8.8203125, -8.40625, -8.90625, -8.3984375, -8.6484375, -8.4921875, -8.3203125, -8.140625, -8.3046875, -8.03125, -7.32421875, -3.939453125, -6.27734375, -4.8046875, -7.8984375, -7.578125, -7.17578125, -6.2421875, -7.1328125, -6.7265625, -5.81640625, -6.39453125, -6.58984375, -4.5703125, -6.89453125, -6.34765625, -0.98828125, 0.1588134765625, 3.2421875, -1.4482421875, -2.5625, -5.92578125, -4.06640625, -3.373046875, -7.9453125, -7.8046875, -8.28125, -7.23046875, -6.3359375, -3.025390625, 3.41015625, 1.0966796875, -7.30859375, -6.74609375, -5.69921875, -6.39453125, -2.6484375, -4.36328125, -5.41796875, -7.40625, -7.69921875, -7.84765625, -3.302734375, -6.27734375, -8.984375, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625 ]	[ -0.2449951171875, -7.88671875, -8.1171875, -8.2578125, -8.0390625, -8.1015625, -8.4140625, -8.484375, -7.90625, -8.28125, -8.3359375, -8.3046875, -7.28515625, -7.890625, -7.953125, -8.078125, -7.69140625, -7.77734375, -7.3203125, -7.86328125, -8.1953125, -8.25, -7.92578125, -8.015625, -8.171875, -8.234375, -7.90625, -7.73828125, -8.125, -8.09375, -7.75, -7.234375, -7.87890625, -7.88671875, -7.875, -8.1015625, -7.98828125, -7.93359375, -7.73828125, -7.421875, -7.66015625, -8, -7.96875, -8.2578125, -8.5625, -8.484375, -8.6171875, -8.84375, -8.7734375, -8.6328125, -8.796875, -8.9609375, -8.7109375, -8.453125, -8.6875, -8.78125, -8.59375, -8.828125, -7.84375, -6.2890625, -7.98828125, -8.359375, -8.640625, -8.9609375, -9.0234375, -8.9140625, -8.59375, -8.609375, -8.65625, -8.59375, -8.6875, -8.7890625, -8.9375, -8.71875, -8.3984375, -8.7421875, -8.9453125, -9.046875, -8.6796875, -8.5, -8.3671875, -8.265625, -8.75, -8.9609375, -8.859375, -8.5625, -8.7109375, -8.609375, -8.6640625, -8.6796875, -8.3125, -8.4765625, -8.3203125, -8.65625, -8.4140625, -8.5390625, -8.7265625, -8.6875, -8.7109375, -8.5703125, -7.92578125, -6.921875, -1.4970703125, -8.390625, -8.21875, -8.3515625, -9, -8.75, -8.6484375, -8.2734375, -8.1328125, -7.78515625, -8.125, -7.52734375, -7.8359375, -8.046875, -3.63671875, -3.341796875, -3.767578125, -3.986328125, -2.078125, -3.470703125, -7.04296875, -3.95703125, -7.37109375, -7.97265625, -6.84765625, -7.8984375, -6.62109375, -5.1015625, -5.00390625, -4.89453125, -5.58203125, -3.275390625, -2.107421875, -3.146484375, 5.05078125, -2.75390625, -5.61328125, -6.62109375, -7.30078125, -6.890625, -2.734375, -1.4970703125, -7.8359375, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125 ]
Steam engines are external combustion engines, where the working fluid is separate from the combustion products. Non-combustion heat sources such as solar power, nuclear power or geothermal energy may be used. The ideal thermodynamic cycle used to analyze this process is called the Rankine cycle. In the cycle, water is heated and transforms into steam within a boiler operating at a high pressure. When expanded through pistons or turbines, mechanical work is done. The reduced-pressure steam is then condensed and pumped back into the boiler.	What ideal thermodynamic cycle analyzes the process by which solar engines work?	[ "" ]	[ -1 ]	[ "5ad3bd8f604f3c001a3fef2e" ]	[ "Steam_engine" ]	[ -0.356201171875, -9.1875, -9.2578125, -9.0234375, -9.359375, -9.1796875, -9.4765625, -9.53125, -9.25, -9.0625, -9.203125, -9.1875, -9.171875, -9.578125, -9.4453125, -9.4765625, -5.734375, -8.765625, -6.09375, -6.80078125, -6.6015625, -6.38671875, -7.60546875, -7.21484375, -6.7734375, -3.89453125, -4.1875, -6.96875, -6.66796875, -7.7265625, -7.41015625, -7.73046875, -7.71875, -7.38671875, -4.3046875, -4.0859375, -5.37109375, -7.36328125, -7.859375, -8.265625, -7.65234375, -7.24609375, -6.703125, -7.72265625, -7.4609375, -6.72265625, -8.03125, -8.1953125, -7.95703125, -8.6328125, -8.8828125, -8.359375, -8.3359375, -7.75, -8.46875, -8.4921875, -4.5390625, -1.3154296875, -1.556640625, -4.10546875, -6.37890625, -7.640625, -2.685546875, -6.08984375, -7.578125, -4.5859375, -6.9140625, -0.615234375, -0.083740234375, 1.0048828125, 5.04296875, 8.2109375, -5.421875, -1.8388671875, -3.62109375, -1.45703125, -1.47265625, -0.07916259765625, -1.650390625, 1.041015625, -6.58984375, -7.8203125, -8.3046875, -8.0703125, -8.8125, -7.6171875, -8.4296875, -7.75, -5.26953125, -7.71875, -7.25, -6.578125, -4.7109375, -3.96484375, -4.74609375, -6.35546875, -7.796875, -8.3828125, -8.203125, -8.4921875, -8.6796875, -7.4609375, -7.21875, -5.1328125, -7.4921875, -8.546875, -6.5, -4.98046875, -6.6640625, -7.4609375, -8.5859375, -8.2265625, -7.50390625, -8.5390625, -8.5703125, -8.4609375, -9.046875, -8.765625, -8.9765625, -8.8671875, -8.3125, -4.68359375, -5.734375, -9.59375, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625 ]	[ 0.283447265625, -7.2578125, -7.24609375, -7.30859375, -6.87109375, -6.92578125, -7.29296875, -7.28125, -7.65234375, -7.6171875, -7.40625, -7.7578125, -7.5390625, -7.03125, -7.17578125, -6.8984375, -1.451171875, -8.3125, -8.1171875, -8.5859375, -8.7734375, -8.1171875, -7.93359375, -7.5625, -8.484375, -8.1953125, -8.6484375, -8.4375, -8.03125, -8.578125, -8.140625, -8.359375, -8.5390625, -7.98828125, -5.875, -6.73046875, -8.1171875, -8.6015625, -8.3671875, -8.1015625, -8.3515625, -7.90625, -7.53515625, -7.97265625, -8.4296875, -7.98046875, -7.6171875, -7.91796875, -7.6328125, -7.01171875, -7.41015625, -6.96484375, -5.390625, -5.22265625, -7.1171875, -7.5703125, -6.05078125, -2.791015625, -5.64453125, -6.3203125, -8.078125, -6.53125, -4.82421875, -7.23046875, -8, -7.0078125, -8.1875, -5.62890625, -5.3203125, -3.716796875, -3.435546875, -1.384765625, 2.767578125, 8.59375, 4.48828125, -3.83203125, -7.14453125, -4.51953125, -4.0625, -5.86328125, -7.35546875, -6.078125, -6.73828125, -5.90625, -6.00390625, -4.48828125, -6.0234375, -7.16015625, -5.89453125, -6.2109375, -6.32421875, -6.95703125, -4.296875, 2.515625, 4.21875, -6.39453125, -6.41015625, -7.015625, -7.43359375, -6.91015625, -7.171875, -5.21875, -4.3984375, -4.67578125, -3.984375, -5.66796875, -1.626953125, 1.3583984375, -7.90234375, -7.61328125, -7.8515625, -7.32421875, -6.93359375, -7.15234375, -6.23046875, -6.31640625, -7.23828125, -6.4296875, -7.0078125, -7.13671875, -7.54296875, -3.318359375, -1.451171875, -6.42578125, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875 ]

Provided is a universal Ku band LNB (9.75/10.600 GHz) which is fitted at the end of the dish and pointed at the correct satellite constellation; most digital receivers will receive the free to air channels. Some broadcasts are free-to-air and unencrypted, some are encrypted but do not require a monthly subscription (known as free-to-view), some are encrypted and require a monthly subscription, and some are pay-per-view services. To view the encrypted content a VideoGuard UK equipped receiver (all of which are dedicated to the Sky service, and cannot be used to decrypt other services) needs to be used. Unofficial CAMs are now available to view the service, although use of them breaks the user's contract with Sky and invalidates the user's rights to use the card.

What is the universal band that digital recievers will receive free to air channels on?

[ "9.75/10.600 GHz", "universal Ku band", "Ku band" ]

[ 37, 14, 24 ]

[ "57096c95200fba1400367fbe", "57096c95200fba1400367fbe", "57096c95200fba1400367fbe" ]

[ "Sky_(United_Kingdom)", "Sky_(United_Kingdom)", "Sky_(United_Kingdom)" ]

[ -0.5751953125, -8.5546875, -8.8515625, -8.8515625, -8.7109375, -9, -9.1953125, -8.9375, -9.1796875, -9.1328125, -8.921875, -9.109375, -8.9140625, -9.125, -9.265625, -8.96875, -8.6328125, -9.1015625, -7.3515625, -7.34765625, -2.345703125, -2.001953125, -0.61572265625, 2.9921875, 3.9296875, 8.0234375, -5.12890625, -0.47509765625, -2.96484375, -4.046875, -2.80859375, -7.1015625, -6.109375, -4.89453125, -5.0859375, -6.46484375, -6.5390625, -1.85546875, -1.0927734375, -6.18359375, -7.45703125, -6.1328125, -7.6796875, -7.8203125, -7.72265625, -8.4765625, -7.74609375, -5.12109375, -8.25, -6.6953125, -7.7578125, -7.06640625, -7.54296875, -7.54296875, -2.51171875, -3.95703125, -5.6171875, -7.7265625, -8.2109375, -8.203125, -7.95703125, -8.2734375, -7.640625, -8.65625, -8.515625, -6.078125, -5.12109375, -7.21484375, -8.3984375, -8.703125, -8.390625, -8.90625, -9.3515625, -9.0078125, -9.28125, -9.0078125, -9.1796875, -9.0390625, -9.1171875, -9.2421875, -9.1640625, -9.4375, -9.3046875, -9.2890625, -9.484375, -9.4375, -9.375, -9.5546875, -9.7578125, -9.359375, -9.375, -9.28125, -9.359375, -9.3125, -9.6640625, -9.5234375, -9.7578125, -9.953125, -9.375, -9.1875, -9.6171875, -9.375, -9.4765625, -9.3828125, -9.6328125, -9.9453125, -9.734375, -9.2109375, -9.234375, -9.1328125, -9.1875, -9.375, -9.5546875, -9.5078125, -9.890625, -7.63671875, -8.8515625, -8.5546875, -8.6328125, -8.7734375, -8.828125, -8.296875, -8.5078125, -8.5, -9.2578125, -9.6640625, -9.3203125, -8.90625, -8.84375, -8.5390625, -8.78125, -8.9140625, -8.765625, -8.7265625, -8.8203125, -8.828125, -9.171875, -9.4609375, -9.140625, -8.765625, -8.7734375, -8.8984375, -8.78125, -8.796875, -8.9453125, -9.125, -9.125, -8.9609375, -8.9296875, -8.9765625, -8.953125, -8.609375, -9.1875, -9.046875, -9.2421875, -9.171875, -9.2109375, -9.1484375, -9.234375, -9.25, -9.0390625, -9.03125, -8.71875, -8.8203125, -9.1484375, -8.9140625, -8.5703125, -8.8984375, -8.8359375, -8.734375, -8.6875, -8.984375, -9.09375, -9.1640625, -9.1015625, -9.1953125, -9.2109375, -9.1796875, -9.2421875, -8.8203125, -9.078125, -9.1953125, -9.09375, -9.0234375, -8.8671875, -8.71875, -8, -7.34765625, -7.34765625, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125, -9.125 ]

[ -0.1090087890625, -7.796875, -7.93359375, -8.046875, -8.0703125, -7.734375, -7.625, -8.171875, -8.015625, -7.984375, -8, -8.0546875, -8.1875, -7.984375, -7.89453125, -8.0703125, -7.984375, -7.7265625, -3.580078125, -3.580078125, -5.44140625, -4.05859375, -5.28125, -3.48046875, -2.853515625, -0.33056640625, 0.75732421875, 0.7744140625, 5, -2.15625, -2.30078125, -3.84375, -3.193359375, -3.994140625, -2.98828125, -4.55078125, -2.515625, 7.65234375, 9.4921875, -3.962890625, -7.1953125, -6.3046875, -7.08203125, -7.46484375, -6.234375, -7.3515625, -6.87109375, -4.078125, -6.5078125, -6.4453125, -6.57421875, -7.453125, -6.015625, -4.58203125, 0.8388671875, -1.8701171875, -6.6640625, -7.98046875, -7.02734375, -7.78125, -7.79296875, -7.859375, -7.796875, -7.91796875, -7.66796875, -6.375, -4.41796875, -7.90234375, -7.78125, -7.90625, -8.1953125, -7.83984375, -7.546875, -7.7890625, -7.6171875, -7.84765625, -7.671875, -7.42578125, -7, -7.34375, -7.7109375, -7.41015625, -7.63671875, -7.59375, -7.34765625, -7.52734375, -7.7421875, -7.4140625, -6.9609375, -7.62109375, -7.5234375, -7.65234375, -7.69140625, -7.671875, -7.296875, -7.4375, -6.95703125, -4.84765625, -7.234375, -7.69140625, -7.203125, -7.640625, -7.5, -7.69140625, -7.19140625, -6.45703125, -6.23046875, -6.64453125, -7.0078125, -7.4453125, -7.4765625, -7.375, -7.0859375, -7.1484375, -6.76953125, -4.4765625, -5.2890625, -8.5703125, -8.546875, -8.3984375, -8.1640625, -8.328125, -8.4921875, -8.3046875, -7.71484375, -7.09765625, -7.59765625, -7.90234375, -8.3125, -8.5234375, -8.40625, -8.3125, -8.4609375, -8.3984375, -8.359375, -8.3515625, -7.86328125, -7.21875, -7.984375, -8.3671875, -8.4375, -8.296875, -8.3984375, -8.3203125, -8.1171875, -7.9921875, -7.6953125, -8.203125, -8.21875, -8.1484375, -8.15625, -8.21875, -8.046875, -8.1484375, -7.94140625, -7.859375, -8, -8.0546875, -7.97265625, -7.85546875, -8.1796875, -8.234375, -8.484375, -8.2109375, -8.0390625, -8.3125, -8.6328125, -8.328125, -8.3671875, -8.4140625, -8.4921875, -8.125, -8.0234375, -7.8984375, -8.0078125, -7.7265625, -7.88671875, -7.9921875, -7.91796875, -8.3515625, -7.96875, -7.9140625, -7.734375, -8.109375, -8.328125, -8.3359375, -7.81640625, -3.580078125, -3.580078125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125, -8.1953125 ]

At the beginning of the 20th century, important advancement in geological science was facilitated by the ability to obtain accurate absolute dates to geologic events using radioactive isotopes and other methods. This changed the understanding of geologic time. Previously, geologists could only use fossils and stratigraphic correlation to date sections of rock relative to one another. With isotopic dates it became possible to assign absolute ages to rock units, and these absolute dates could be applied to fossil sequences in which there was datable material, converting the old relative ages into new absolute ages.

What did using fossils help change for scientists?

[ "" ]

[ -1 ]

[ "5a57f487770dc0001aeefefd" ]

[ "Geology" ]

[ -0.33154296875, -9.0859375, -8.78125, -9.0625, -9.1796875, -8.609375, -8.0390625, -8.9140625, -9.1875, -9.296875, -9.1953125, -8.7109375, -7.69921875, -6.7109375, -4.37890625, -6.296875, -6.515625, -5.7578125, -8.078125, -2.109375, -2.5078125, -1.482421875, -3.08984375, -7.17578125, -6.890625, -4.79296875, -3.607421875, -1.404296875, 0.0064697265625, 2.6640625, 2.5703125, 0.43017578125, -0.0098876953125, -4.4453125, -6.640625, -6.5703125, -8.3203125, -7.0859375, -7.640625, -3.1640625, -3.32421875, -2.16796875, -7.45703125, -7.40625, -8.0078125, -7.26953125, 0.1417236328125, -2.65625, -0.147216796875, 2.837890625, 4.1484375, 4.96484375, -5.74609375, 1.0673828125, -6.4609375, -0.5419921875, -0.6845703125, 2.6171875, -2.0859375, -4.54296875, -6.05859375, -4.56640625, -5.26953125, -4.9453125, -5.91015625, -6.15234375, -5.375, -8.21875, -8.2109375, -3.50390625, -4.00390625, -2.41796875, -7.1171875, -8.1328125, -7.21875, -8.6015625, -8.78125, -7.84375, -3.1015625, -3.046875, -3.693359375, -7.46875, -8.4375, -7.796875, -6.78515625, -7.37109375, -7.4765625, -8.03125, -8.046875, -8.859375, -9.1328125, -9.015625, -8.6171875, -8.3046875, -8.453125, -6.0390625, -6.4453125, -6.4140625, -7.30859375, -7.296875, -7.42578125, -6.92578125, -6.7421875, -7.5625, -7.3359375, -8.109375, -7.58984375, -7.27734375, -7.7421875, -7.7734375, -8.578125, -4.61328125, -6.91796875, -2.201171875, -6.76171875, -7.03125, -8.3671875, -8.7578125, -8.34375, -8.078125, -8.5390625, -3.46875, -4.65234375, -8.8046875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875, -8.6875 ]

[ 0.23095703125, -7.51953125, -7.93359375, -7.90625, -7.70703125, -7.8828125, -7.96484375, -7.8515625, -7.65625, -7.32421875, -7.90234375, -8.3046875, -7.81640625, -7.85546875, -7.140625, -8.1953125, -7.984375, -7.671875, -7.14453125, -4.9765625, -7.921875, -7.3984375, -7.58203125, -7.85546875, -7.2578125, -7.265625, -8.921875, -6.765625, -7.1015625, -6.71875, -5.66015625, -6.6484375, -6.265625, -6.95703125, -7.0859375, -5.921875, -6.1640625, -6.703125, -5.97265625, -4.6640625, -5.51171875, -5.375, -5.00390625, -4.58203125, -4.37890625, -3.03125, 0.388916015625, -0.136962890625, -6.5390625, -4.15625, -4.5625, -1.9052734375, -4.00390625, -3.755859375, -2.03515625, 5.17578125, 2.41796875, -3.134765625, -5.390625, -7.84375, -6.9765625, -6.0703125, -6.3203125, -6.828125, -7.45703125, -7.42578125, -8.4921875, -7.73046875, -7.5078125, -5.33984375, -7.04296875, -7.30859375, -5.96875, -7.3671875, -6.20703125, -5.421875, -5.84375, -5.29296875, 0.81201171875, 0.32568359375, -7.8046875, -8.34375, -7.953125, -8.0703125, -8.7109375, -7.95703125, -7.828125, -8.0859375, -8.1796875, -7.8046875, -7.4921875, -7.609375, -7.796875, -6.734375, -7.12109375, -8.0546875, -8.984375, -8.7421875, -8.46875, -8.3515625, -8.3828125, -7.5703125, -8.640625, -8.296875, -7.875, -8.0625, -8.484375, -8.4609375, -8.4453125, -7.48828125, -6.72265625, -4.0546875, -6.07421875, -7.29296875, -8.5, -7.72265625, -7.21484375, -6.390625, -7.1953125, -7.1640625, -6.515625, -0.884765625, 0.169677734375, -5.65234375, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875 ]

However, attempting to reconcile electromagnetic theory with two observations, the photoelectric effect, and the nonexistence of the ultraviolet catastrophe, proved troublesome. Through the work of leading theoretical physicists, a new theory of electromagnetism was developed using quantum mechanics. This final modification to electromagnetic theory ultimately led to quantum electrodynamics (or QED), which fully describes all electromagnetic phenomena as being mediated by wave–particles known as photons. In QED, photons are the fundamental exchange particle, which described all interactions relating to electromagnetism including the electromagnetic force.[Note 4]

What was used to create a new electromagnetic theory to reconcile the troubles with electromagnetic theory as it used to stand?

[ "quantum mechanics", "the work of leading theoretical physicists", "quantum mechanics", "quantum mechanics" ]

[ 283, 186, 283, 283 ]

[ "573792ee1c456719005744ba", "573792ee1c456719005744ba", "573792ee1c456719005744ba", "573792ee1c456719005744ba" ]

[ "Force", "Force", "Force", "Force" ]

[ -0.487060546875, -8.84375, -8.9296875, -8.640625, -8.640625, -8.6015625, -8.8359375, -8.65625, -8.46875, -8.5625, -8.8515625, -8.890625, -9.0703125, -8.8671875, -8.9609375, -8.2578125, -8.9140625, -8.9140625, -8.875, -8.75, -8.8203125, -8.2265625, -9.046875, -6.23046875, -8.671875, -5.81640625, -5.55078125, -2.505859375, -3.794921875, -0.96923828125, -5.1015625, -3.55078125, -1.5068359375, -3.8671875, -2.166015625, -2.7265625, -2.74609375, -3.552734375, -7.5390625, -8.125, -7.66796875, -7.30078125, -4.92578125, -3.880859375, -6.09765625, -7.1328125, -5.44140625, -3.482421875, -2.4296875, -5.5546875, -6.58203125, -0.87841796875, -1.1845703125, -2.048828125, -3.734375, -3.029296875, -6.0625, -4.16015625, -5.03125, 0.320068359375, -0.264404296875, 1.01171875, -0.1416015625, -1.2373046875, -4.5, -1.1728515625, -6.1171875, -4.01171875, -1.05078125, -3.669921875, -0.52978515625, -1.19140625, 7.06640625, -1.1572265625, -3.58984375, -4.515625, -5.27734375, -1.4736328125, -6.6015625, -6.21875, -4.89453125, -5.54296875, -2.455078125, -4.26171875, -0.01434326171875, -7.8515625, -8.3515625, -7.28125, -3.3828125, -6.453125, -6.6328125, -3.83984375, -6.4296875, -5.16015625, -4.9921875, -5.953125, -6.03515625, -8, -8.6015625, -8.6953125, -8.5078125, -8.4296875, -7.56640625, -8.2578125, -7.1171875, -9.03125, -7.78515625, -7.1796875, -8.1953125, -7.2734375, 0.038909912109375, -4.59765625, -6.890625, -7.88671875, -8.5, -8.6953125, -7.51953125, -9.1328125, -8.7734375, -8.5546875, -9.03125, -8.03125, -8.9921875, -8.359375, -8.2421875, -8.5, -8.90625, -9.1328125, -8.953125, -8.4453125, -9.2734375, -9.3046875, -8.7265625, -8.5546875, -8.5390625, -8.3046875, -6.20703125, -8.0859375, -8.90625, -6.4765625, -6.23046875, -6.23046875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875, -8.671875 ]

[ -0.250244140625, -7.703125, -7.92578125, -8.140625, -8.1875, -8.3125, -8.046875, -8.1171875, -7.99609375, -7.6953125, -8.0546875, -8.15625, -7.93359375, -8.09375, -8.0234375, -8.3046875, -7.66015625, -8.046875, -8.125, -8.25, -8.1015625, -8.28125, -7.45703125, -1.935546875, -8.0078125, -5.59765625, -7.7734375, -6.3359375, -7.45703125, -5.71484375, -7.85546875, -7.52734375, -6.37890625, -7.31640625, -6.25390625, -6.67578125, -7.8984375, -7.78515625, -7.52734375, -7.05078125, -6.43359375, -6.9765625, -8.2265625, -7.890625, -7.96875, -8.046875, -7.5703125, -5.51171875, -2.6640625, -4.20703125, -7.7890625, -3.21484375, -3.935546875, -5.2109375, -7.43359375, -5.96875, -7.37890625, -7.65234375, -7.7421875, -3.794921875, -4.7421875, -5.8046875, -5.55078125, -6.140625, -7.25390625, -6.1328125, -6.84375, -4.359375, -3.177734375, -7.3125, -4.96484375, -3.556640625, -0.7548828125, 6.0390625, 3.302734375, -5.3359375, -7.45703125, -5.625, -7.625, -7.66015625, -7.28515625, -7.0703125, -6.2578125, -6.09765625, -5.6015625, -5.3203125, -5.37109375, -3.384765625, -2.1953125, -5.08984375, -7.07421875, -7.15234375, -6.79296875, -1.9169921875, -7.04296875, -8.5, -8.46875, -8.546875, -7.875, -7.46875, -8.1796875, -8.21875, -7.70703125, -7.74609375, -7.6796875, -6.75390625, -6.77734375, -5.3671875, -6.46484375, -7.25, -1.8759765625, -0.89501953125, -7.66796875, -7.796875, -7.0390625, -7.640625, -7.75390625, -7.54296875, -8.046875, -8.078125, -7.484375, -6.35546875, -7.20703125, -7.9765625, -8.2265625, -8.234375, -7.80078125, -7.82421875, -8.0390625, -7.828125, -7.3046875, -6.765625, -6.21875, -8.1171875, -8.234375, -7.7890625, -5.99609375, -3.642578125, -7.19921875, -6.421875, -1.9375, -1.9365234375, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875, -8.546875 ]

Packet mode communication may be implemented with or without intermediate forwarding nodes (packet switches or routers). Packets are normally forwarded by intermediate network nodes asynchronously using first-in, first-out buffering, but may be forwarded according to some scheduling discipline for fair queuing, traffic shaping, or for differentiated or guaranteed quality of service, such as weighted fair queuing or leaky bucket. In case of a shared physical medium (such as radio or 10BASE5), the packets may be delivered according to a multiple access scheme.

If there is no radio or 10BASE5, how are the packets delivered?

[ "" ]

[ -1 ]

[ "5a66797c846392001a1e1c4b" ]

[ "Packet_switching" ]

[ -0.0369873046875, -7.62109375, -7.515625, -8.4140625, -7.62890625, -7.578125, -9.078125, -9.109375, -9.171875, -9.09375, -8.7265625, -8.9609375, -8.609375, -8.9453125, -9.015625, -9.1484375, -9.109375, -9, -5.2265625, -5.2265625, -8.2265625, -8.546875, -8.6953125, -8.7734375, -9.0078125, -8.90625, -8.7890625, -8.5625, -8.9375, -8.3203125, -7.8984375, -8.53125, -8.6953125, -8.6171875, -8.3828125, -8.8359375, -8.703125, -8.8828125, -7.29296875, -6.60546875, -6.65625, -7.765625, -7.234375, -6.35546875, -3.79296875, -7.7421875, -7.81640625, -8.578125, -7.60546875, -8.1484375, -8.1015625, -7.5859375, -7.89453125, -7.86328125, -8.46875, -8.8359375, -8.8125, -8.6953125, -8.6875, -8.8828125, -9.0234375, -7.4921875, -8.9140625, -7.71484375, -8, -7.9453125, -7.2578125, -8.8359375, -8.7109375, -8.7109375, -8.0234375, -8.4375, -8.4140625, -8.5, -9.046875, -9.1875, -9.0390625, -9.0078125, -9.28125, -9.28125, -9.0546875, -8.6015625, -8.9765625, -8.875, -8.9375, -9.2109375, -9.4140625, -8.265625, -9.5625, -9.2265625, -8.6875, -7.62109375, -8.9140625, -9.1484375, -9.171875, -9.0703125, -7.25390625, -9.0234375, -5.7890625, -5.22265625, 2.166015625, -1.51171875, -3.955078125, -2.51171875, 0.52001953125, -3.9296875, -2.955078125, -6.359375, -6.66015625, -6.5390625, -4.12109375, -6.66796875, -7.53515625, -8.4921875, -8.2578125, -5.62109375, -1.3330078125, 0.6142578125, -2.72265625, -4.68359375, -4.69140625, 2.974609375, 1.001953125, -4.83984375, -1.12890625, 5.234375, -6.359375, -1.95703125, -5.2265625, -5.2265625, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125, -9.078125 ]

[ 0.560546875, -8.7265625, -8.6328125, -7.9453125, -8.34375, -8.0859375, -7.609375, -7.7109375, -7.86328125, -7.95703125, -7.453125, -7.515625, -7.59765625, -7.7109375, -7.68359375, -7.6640625, -7.4765625, -7.62109375, -0.305419921875, -0.30615234375, -8.390625, -8.1171875, -8.0078125, -7.8203125, -8.125, -8.2578125, -8.296875, -8.515625, -8.15625, -8.6796875, -8.75, -7.94140625, -7.68359375, -8.4609375, -8.5703125, -8.3125, -8.1640625, -8.0546875, -6.8203125, -6.51171875, -8.71875, -8.703125, -9.046875, -9.109375, -7.953125, -8, -8.0546875, -7.43359375, -6.984375, -7.43359375, -7.640625, -7.16796875, -7.546875, -8.296875, -8.1953125, -7.9921875, -7.59375, -7.59375, -7.9765625, -7.8515625, -6.99609375, -5.03515625, -6.65234375, -8.65625, -8.84375, -8.8671875, -8.5, -7.890625, -8.140625, -8.234375, -8.515625, -8.1015625, -8.40625, -8.453125, -8.1015625, -7.921875, -8.0234375, -7.984375, -7.61328125, -7.59375, -7.6015625, -8.1953125, -7.97265625, -8.125, -7.98828125, -7.41015625, -7.47265625, -5.84765625, -6.8828125, -7.71875, -8.296875, -8.71875, -8, -7.65625, -7.42578125, -7.64453125, -8.4765625, -7.75, -4.8828125, -2.16796875, -5.4921875, -7.81640625, -8.1328125, -7.7265625, -5.4375, -4.71875, 0.9931640625, -7.21484375, -8.3359375, -8.0859375, -6.94140625, -7.62109375, -8.0078125, -7.46875, -7.109375, -5.62109375, -3.880859375, -6.25, -6.46875, -5.54296875, -6.421875, -3.8828125, -2.57421875, -3.48046875, -3.591796875, -2.716796875, 0.304931640625, 8.3203125, -0.3076171875, -0.306640625, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875 ]

In ring theory, the notion of number is generally replaced with that of ideal. Prime ideals, which generalize prime elements in the sense that the principal ideal generated by a prime element is a prime ideal, are an important tool and object of study in commutative algebra, algebraic number theory and algebraic geometry. The prime ideals of the ring of integers are the ideals (0), (2), (3), (5), (7), (11), … The fundamental theorem of arithmetic generalizes to the Lasker–Noether theorem, which expresses every ideal in a Noetherian commutative ring as an intersection of primary ideals, which are the appropriate generalizations of prime powers.

Which theorem can be simplified to the Lasker–Noether theorem?

[ "The fundamental theorem of arithmetic", "The fundamental theorem of arithmetic", "fundamental theorem of arithmetic", "theorem of arithmetic" ]

[ 413, 413, 417, 429 ]

[ "57299ec43f37b31900478510", "57299ec43f37b31900478510", "57299ec43f37b31900478510", "57299ec43f37b31900478510" ]

[ "Prime_number", "Prime_number", "Prime_number", "Prime_number" ]

[ -0.5205078125, -8.9453125, -8.703125, -8.9921875, -8.9765625, -7.72265625, -8.546875, -8.9296875, -8.7890625, -9.1328125, -9.265625, -9.203125, -9.1640625, -9.21875, -9.0625, -9.1484375, -6.45703125, -6.45703125, -8.6875, -8.1875, -8.0234375, -8.7421875, -8.75, -8.6484375, -9.1015625, -8.3515625, -9.28125, -9.2109375, -8.8984375, -8.7421875, -8.6640625, -8.859375, -7.02734375, -8.5625, -8.1484375, -8, -9.140625, -8.8359375, -8.5546875, -8.8046875, -8.6015625, -8.7421875, -8.5859375, -8.3828125, -8.2265625, -7.67578125, -7.78125, -7.9375, -8.453125, -8.703125, -8.484375, -8.1328125, -8.0234375, -8.4375, -8.515625, -8.34375, -8.5546875, -7.296875, -8.78125, -8.6015625, -8.6328125, -8.625, -8.53125, -8.9375, -8.515625, -8.8515625, -7.328125, -8.578125, -8.7109375, -8.9765625, -9.1171875, -8.8125, -8.8046875, -8.5859375, -8.90625, -8.8359375, -8.8125, -8.546875, -7.82421875, -8.796875, -6.75, -7.3046875, -5.921875, -7.5234375, -7.46484375, -8.5, -8.1640625, -6.96875, -8.625, -3.55078125, -7.15234375, -7.421875, -6.7890625, -8.515625, -8.4296875, -8.734375, -8.6875, -8.6328125, -8.78125, -8.75, -8.5703125, -8.765625, -8.734375, -8.546875, -8.5234375, -8.484375, -8.1875, -7.359375, -7.640625, -4.32421875, -1.453125, 0.02117919921875, 1.080078125, 1.5517578125, -1.345703125, -6.44921875, 0.703125, -1.357421875, -3.076171875, -0.5947265625, -0.094970703125, -3.607421875, -6.90234375, -6.26171875, -5.78515625, -6.0390625, -4.9765625, -1.2265625, -0.64599609375, 3.29296875, 4.29296875, -1.1552734375, -5.55859375, -7.57421875, -7.28125, -5.23046875, -7.26953125, -7.64453125, -6.4140625, -8.078125, -7.75, -2.392578125, -5.1328125, -7.0546875, -4.234375, -7.64453125, -5.35546875, -3.353515625, -6.171875, -6.46875, -6.89453125, -4.609375, -3.703125, -4.7890625, -6.1796875, -6.8359375, -2.58984375, -0.40625, -6.45703125, -6.45703125, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625, -9.15625 ]

[ -0.3056640625, -7.58203125, -8, -7.91796875, -8.03125, -8.3828125, -8.1796875, -7.87890625, -7.9609375, -7.7578125, -7.5234375, -7.515625, -7.52734375, -7.45703125, -7.1875, -7.38671875, -1.9306640625, -1.9296875, -8.09375, -8.2421875, -8.0078125, -7.95703125, -8.109375, -8.140625, -7.8203125, -8.0234375, -7.6171875, -7.5703125, -7.9921875, -8.03125, -8.3046875, -8.1875, -8.109375, -7.4765625, -8.2265625, -7.80859375, -7.859375, -8.3046875, -8.4140625, -8.359375, -8.46875, -8.3125, -8.6171875, -8.7734375, -8.75, -9.203125, -8.9921875, -8.8515625, -8.5390625, -8.390625, -8.6875, -8.9296875, -8.7578125, -8.4765625, -8.53125, -8.671875, -8.4140625, -7.44921875, -8.078125, -8.3203125, -8.390625, -8.515625, -8.53125, -8.3125, -8.5625, -8.28125, -8.703125, -8.4921875, -8.5, -8.2734375, -8.1171875, -8.3203125, -8.3359375, -8.6484375, -8.3828125, -8.3984375, -8.375, -8.6640625, -8.7734375, -8.421875, -7.9765625, -7.83984375, -8.484375, -8.3359375, -8, -8.5078125, -8.703125, -8.328125, -8.2890625, -5.6015625, -8.3515625, -8.328125, -8.1171875, -8.46875, -8.5390625, -8.2265625, -8.5, -8.4375, -8.1953125, -8.4453125, -8.3671875, -8.2109375, -8.4609375, -8.40625, -8.296875, -8.6171875, -8.34375, -7.82421875, -8.484375, -5.6484375, -3.0078125, -2.01171875, -3.45703125, -2.833984375, -3.69140625, -4.03515625, 1.4423828125, -3.41796875, -1.3369140625, -2.82421875, -5.45703125, -7.5625, -7.5234375, -6.390625, -7.3671875, -7.71875, -5.26953125, -2.296875, -2.8359375, -4.97265625, -4.66796875, -6.55859375, -6.38671875, -6.6640625, -6.90234375, -6.4921875, -6.0703125, -5.1015625, -6.0703125, -6.67578125, -5.80078125, -2.22265625, -4.76171875, -5.18359375, -1.2744140625, -4.1328125, -2.087890625, 1.9560546875, 2.712890625, -3.62890625, -6.28515625, -6.88671875, -5.984375, -5.8046875, -3.30859375, -6.03515625, -2.9609375, 3.30859375, -1.9306640625, -1.9306640625, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875, -8.046875 ]

Many complexity classes are defined using the concept of a reduction. A reduction is a transformation of one problem into another problem. It captures the informal notion of a problem being at least as difficult as another problem. For instance, if a problem X can be solved using an algorithm for Y, X is no more difficult than Y, and we say that X reduces to Y. There are many different types of reductions, based on the method of reduction, such as Cook reductions, Karp reductions and Levin reductions, and the bound on the complexity of reductions, such as polynomial-time reductions or log-space reductions.

What are two examples of different types of reduction?

[ "Karp reductions and Levin reductions", "Cook reductions, Karp reductions" ]

[ 469, 452 ]

[ "56e1c9bfe3433e1400423195", "56e1c9bfe3433e1400423195" ]

[ "Computational_complexity_theory", "Computational_complexity_theory" ]

[ -0.1717529296875, -9.2578125, -9.375, -9.2890625, -9.265625, -9.328125, -9.0390625, -9.125, -9.03125, -8.6796875, -9.328125, -3.53515625, -9.203125, -9, -7.7421875, -7.96484375, -8.5234375, -7.61328125, -7.40625, -7.3671875, -6.41796875, -7.73046875, -7.33984375, -3.94921875, -5.125, -3.296875, -3.310546875, -1.9140625, 0.477783203125, 0.0234375, -5.375, -3.1796875, -6.03125, -6.7109375, -7.48828125, -2.95703125, -5.6328125, -2.29296875, -5.3828125, -5.8046875, -5.921875, -5.33984375, -5.6328125, -5.39453125, -5.37890625, -6.62109375, -7.09375, -7.1015625, -7.17578125, -6.2421875, -7.4921875, -7.01171875, -3.16796875, -3.53515625, -2.515625, -2.732421875, -2.21484375, -0.58935546875, -6.5, -6.3671875, -6.29296875, -7.73828125, -7.80078125, -7.328125, -7.62890625, -7.37109375, -5.92578125, -7.2734375, -5.375, -7.3125, -5.67578125, -8.2109375, -7.9296875, -8.3671875, -7.609375, -8.3046875, -5.3359375, -7.14453125, -5.26171875, -5.63671875, -5.55078125, -5.421875, -2.04296875, -6.05859375, -7.74609375, -0.611328125, -1.3076171875, -2.123046875, -5.62890625, -5.07421875, -2.40625, -3.38671875, -5.11328125, -0.85986328125, -2.337890625, 0.293701171875, -2.08984375, 0.97265625, 0.45263671875, -7.23828125, -1.705078125, 0.20166015625, 3.806640625, 0.490478515625, 9.265625, -7.04296875, -6.59765625, -5.67578125, -7.26171875, -5.41796875, -6.0859375, -4.58203125, -0.74560546875, -4.5234375, -5.23046875, -2.412109375, -1.0595703125, -7.546875, -6.73828125, -4.8359375, -7.4921875, -3.3984375, -4.453125, -1.390625, -3.4453125, 9.5390625, -7.2265625, -7.6640625, -7.45703125, -7.20703125, -5.0859375, -6.953125, 2.1015625, -7.78515625, -7.43359375, -0.76318359375, -3.53515625, -8.8671875, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125, -9.03125 ]

[ 0.461669921875, -7.17578125, -7.0390625, -7.0859375, -7.07421875, -7.42578125, -7.6796875, -7.41796875, -7.73046875, -7.66015625, -7.1328125, 2.392578125, -7.97265625, -7.8828125, -8.2734375, -7.890625, -8.3125, -8.4453125, -8.7890625, -8.859375, -8.4296875, -8.59375, -8.59375, -6.98828125, -6.01953125, -7.53125, -7.32421875, -8.6875, -7.453125, -6.62109375, -8.0390625, -7.3203125, -6.71484375, -7.109375, -5.31640625, -1.66796875, -1.9833984375, -7.36328125, -8.3828125, -8.859375, -8.1171875, -8.71875, -9.0859375, -8.921875, -8.375, -8.65625, -8.140625, -8.421875, -8.1640625, -6.69921875, -7.63671875, -6.44921875, -3.1015625, 2.39453125, -7.203125, -5.8671875, -7.40234375, -7.72265625, -8.8515625, -8.2578125, -7.703125, -8.3359375, -8.296875, -8.046875, -8.25, -8.515625, -7.6484375, -8.359375, -7.61328125, -8.3671875, -8.03125, -8.2578125, -8.1328125, -7.74609375, -7.5234375, -7.60546875, -6.73828125, -7.51171875, -7.78125, -8.2265625, -8.046875, -8.203125, -6.55859375, -6.11328125, -5.8984375, -0.3662109375, -1.3642578125, -4.203125, -6.9921875, -7.14453125, -5.75390625, -6.296875, -7.4375, -4.9375, -4.40234375, -3.845703125, -3.111328125, -3.986328125, -2.70703125, -4.33984375, 0.30615234375, -1.212890625, -1.7392578125, -2.298828125, -0.86181640625, 0.73388671875, 0.68408203125, -2.99609375, -1.4404296875, 5.58203125, 3.041015625, -0.369384765625, 10.1015625, 2.626953125, -1.1650390625, -5.34375, -5.34765625, -4.67578125, -4.56640625, 0.65869140625, -1.9443359375, 4.8125, 0.71142578125, -1.7958984375, -3.423828125, -1.310546875, -4.16015625, -3.798828125, -4.53515625, -3.4453125, 4.140625, 1.6337890625, -4.3828125, -2.962890625, -0.6640625, 9.7265625, 2.39453125, -0.221435546875, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125, -8.0703125 ]

In 1096, Crusaders passing by the siege of Amalfi were joined by Bohemond of Taranto and his nephew Tancred with an army of Italo-Normans. Bohemond was the de facto leader of the Crusade during its passage through Asia Minor. After the successful Siege of Antioch in 1097, Bohemond began carving out an independent principality around that city. Tancred was instrumental in the conquest of Jerusalem and he worked for the expansion of the Crusader kingdom in Transjordan and the region of Galilee.[citation needed]

When did Tancred lay siege to Antioch?

[ "" ]

[ -1 ]

[ "5ad4017a604f3c001a3ffd1f" ]

[ "Normans" ]

[ -0.919921875, -8.84375, -8.5703125, -8.84375, -9, -8.9140625, -8.8984375, -8.984375, -9.0234375, -8.5078125, -9.0078125, -7.5859375, -8.6171875, -6.93359375, -3.728515625, -5.12890625, -8.140625, -8.5234375, -8.75, -8.6015625, -8.390625, -7.76171875, -7.69921875, -8.328125, -7.19140625, -8.453125, -7.703125, -8.4453125, -8.359375, -8.2421875, -8.03125, -8.8203125, -8.703125, -7.88671875, -8.03125, -8.09375, -8.2421875, -8.2421875, -8.2265625, -8.5234375, -8.578125, -8.3125, -8.484375, -8.53125, -8.8359375, -8.3046875, -8.8984375, -9.0546875, -8.8828125, -6.0078125, -7.86328125, -6.984375, -8.3125, -8.15625, -8.421875, -8.5390625, -8.7734375, -7.9375, -8.5390625, -8.484375, -7.83203125, -8.3046875, -8.4921875, -8.015625, -8.296875, -5.62109375, -5.5, -4.734375, -1.3515625, -1.4619140625, -2.1796875, -2.4765625, -5.5078125, 1.0478515625, -1.1669921875, 6.2109375, -0.467041015625, -6.71875, -7.33984375, -8.453125, -8.6875, -8.6484375, -9.15625, -8.90625, -8.8515625, -8.5, -8.8359375, -8.859375, -8.765625, -5.19140625, -4.51171875, -8.1015625, -8.7578125, -8.859375, -8.7265625, -8.6953125, -8.9453125, -8.796875, -8.6640625, -8.9375, -5.78515625, -8.78125, -8.53125, -8.7890625, -8.8515625, -8.7890625, -8.53125, -8.6875, -8.3984375, -7.8828125, -8.9296875, -8.7734375, -8.53125, -9.2109375, -8.796875, -9.2421875, -9.0859375, -9.265625, -9.1875, -7.8984375, -6.46484375, -8.3046875, -9, -8.8125, -7.61328125, -7.5859375, -7.58203125, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875, -8.96875 ]

[ -0.75390625, -7.73046875, -8.0703125, -8.2421875, -8.0390625, -8.03125, -8.015625, -7.78125, -7.9140625, -7.90234375, -7.73046875, -5.10546875, -8.5703125, -8.578125, -7.171875, -4.234375, -7.609375, -8.3828125, -8.2265625, -8.109375, -8.3203125, -8.6796875, -8.53125, -8.359375, -8.6328125, -8.1328125, -7.1953125, -8.3515625, -8.3828125, -8.5390625, -8.5, -7.9921875, -8.203125, -8.1171875, -7.58203125, -8.5859375, -8.6484375, -7.7421875, -8.46875, -8.390625, -8.171875, -8.4296875, -8.5, -8.2265625, -8.1953125, -8.4453125, -8.09375, -7.99609375, -7.85546875, -6.609375, -7.69921875, -8.2734375, -7.8984375, -8.5078125, -8.359375, -8.2109375, -8.0234375, -8.3828125, -8.4140625, -8.40625, -7.8515625, -8.203125, -8.3515625, -8.2109375, -8.109375, -7.859375, -5.84375, -4.98046875, -6.54296875, -6.4921875, -5.4609375, -6.1875, -7, -4.33984375, -6.03515625, -1.693359375, 5.5859375, -3.23828125, -7.62109375, -6.9375, -7.6640625, -7.76171875, -7.3984375, -7.75, -7.3828125, -7.02734375, -6.8671875, -7.03515625, -7.1015625, -4.9765625, -1.4228515625, -7.55078125, -7.91796875, -7.47265625, -8, -8.265625, -7.98828125, -8.1796875, -8.15625, -7.8203125, -7.61328125, -7.88671875, -8.1640625, -8.2578125, -8.125, -8.234375, -8.2734375, -8.296875, -8.4609375, -7.765625, -7.35546875, -7.76953125, -7.98828125, -7.62109375, -7.0546875, -7.4609375, -7.734375, -7.50390625, -7.515625, -7.16015625, -5.05859375, -5.828125, -7.6171875, -7.71484375, -7.64453125, -5.10546875, -5.10546875, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625 ]

On 1 July 1851, writs were issued for the election of the first Victorian Legislative Council, and the absolute independence of Victoria from New South Wales was established proclaiming a new Colony of Victoria. Days later, still in 1851 gold was discovered near Ballarat, and subsequently at Bendigo. Later discoveries occurred at many sites across Victoria. This triggered one of the largest gold rushes the world has ever seen. The colony grew rapidly in both population and economic power. In ten years the population of Victoria increased sevenfold from 76,000 to 540,000. All sorts of gold records were produced including the "richest shallow alluvial goldfield in the world" and the largest gold nugget. Victoria produced in the decade 1851–1860 20 million ounces of gold, one third of the world's output[citation needed].

How much gold did Victoria produce in 1860?

[ "" ]

[ -1 ]

[ "5a63787868151a001a9222fe" ]

[ "Victoria_(Australia)" ]

[ -1.009765625, -9.03125, -9.0390625, -9.2890625, -8.8125, -9.1171875, -9.1796875, -8.9921875, -9.1171875, -9.0859375, -5.55078125, -5.55078125, -8.3046875, -7.90234375, -8.1328125, -7.8359375, -6.296875, -8.5234375, -8.4765625, -8.9296875, -8.828125, -8.8203125, -8.7734375, -8.5546875, -8.5390625, -8.640625, -8.3828125, -8.3359375, -8.484375, -8.890625, -8.6875, -8.734375, -8.03125, -8.140625, -8.5703125, -8.46875, -8.5078125, -8.0703125, -8.546875, -8.6796875, -9.171875, -8.828125, -8.671875, -8.71875, -8.7421875, -8.34375, -8.3203125, -7.96484375, -8.1953125, -5.66015625, -7.01953125, -8.2734375, -7.5078125, -5.93359375, -7.625, -7.2890625, -7.83203125, -6.01953125, -6.3984375, -7.55078125, -7.94140625, -8.625, -8.546875, -8.890625, -9.0625, -8.796875, -8.828125, -8.859375, -8.453125, -8.8671875, -8.8515625, -8.6875, -8.703125, -8.9140625, -8.9140625, -8.7421875, -8.7734375, -8.90625, -8.125, -8.6328125, -8.3984375, -7.82421875, -7.02734375, -7.69140625, -7.76171875, -7.6796875, -8.3515625, -8.65625, -9.0703125, -8.7578125, -9.2734375, -9.03125, -5.9453125, -9.0859375, -8.328125, -9.078125, -8.8828125, -8.984375, -8.8203125, -8.8515625, -8.765625, -8.953125, -8.9140625, -8.2109375, -8.71875, -7.671875, -8.59375, -8.34375, -8.359375, -8.5390625, -8.5234375, -7.48046875, -8.7578125, -8.875, -8.6796875, -8.53125, -8.09375, -8.6484375, -8.6171875, -8.3203125, -7.3671875, -8.625, -6.7734375, -3.544921875, -7.203125, -8.3984375, -7.6796875, -5.98046875, -4.21484375, -7.93359375, -3.685546875, -2.681640625, -4.76953125, -5.72265625, -7.8046875, -8.5625, -8.5546875, -8.4375, -8.90625, -8.71875, -8.7109375, -8.8046875, -8.6953125, -8.3984375, -6.4921875, -8.53125, -7.4140625, -6.6796875, -6.15625, -6.75390625, -8.6953125, -8.734375, -5.44921875, 2.66796875, 5.39453125, -3.267578125, -4.81640625, -4.98828125, -4.78125, -5.6328125, -4.97265625, -2.435546875, -3.544921875, -1.451171875, 9.4140625, -4.41015625, -2.693359375, -6.40234375, -1.07421875, -2.595703125, 4.796875, -2.427734375, -4.9921875, -4.296875, -4.4921875, -6.6328125, -1.8134765625, -4.76171875, -8.21875, -8.4140625, -4.13671875, -0.78955078125, -5.55078125, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375, -8.9609375 ]

[ -0.81396484375, -7.4765625, -7.31640625, -7.25, -7.96875, -7.78125, -7.69140625, -7.7734375, -7.6953125, -7.34375, -1.2890625, -1.2919921875, -8.53125, -8.6328125, -8.1953125, -8.5078125, -8.1484375, -8.4609375, -8.2421875, -8.2265625, -8.3203125, -8.1875, -8.3671875, -8.546875, -8.140625, -8.4921875, -8.6875, -8.6171875, -8.0390625, -7.96484375, -8.1328125, -8.3671875, -8.796875, -8.7109375, -8.3359375, -8.2890625, -8.46875, -8.1015625, -8.3671875, -8.171875, -7.7421875, -7.1328125, -8.21875, -7.9375, -8.0625, -8.5234375, -8.5625, -8.0703125, -8.578125, -6.59765625, -8.3515625, -8.1796875, -8.1328125, -9.2421875, -8.6875, -8.9609375, -8.5234375, -8.46875, -8.7265625, -8.7421875, -8.1796875, -8.0390625, -8.2109375, -7.8359375, -7.98828125, -8.0625, -7.9375, -7.84375, -8.140625, -7.3046875, -7.31640625, -8.3125, -8.09375, -8.2109375, -8.21875, -8.4375, -8.2734375, -8.203125, -8.046875, -8.0234375, -8.3984375, -8.6640625, -8.9921875, -9.0078125, -9.0703125, -8.75, -8.3359375, -7.98046875, -8.0234375, -8.09375, -7.80859375, -7.8671875, -5.9609375, -7.02734375, -8.484375, -7.83203125, -8.1484375, -8.1015625, -8.3046875, -8.3125, -8.2734375, -8.265625, -8.140625, -8.4140625, -7.48046875, -8.671875, -8.3125, -8.5078125, -8.6328125, -8.421875, -8.5234375, -8.171875, -8.3046875, -8.3671875, -8.5078125, -8.6484375, -8.390625, -8.53125, -8.5546875, -8.71875, -8.1953125, -8.3984375, -8.3203125, -5.3203125, -8.0703125, -7.53515625, -8.2265625, -7.765625, -4.94921875, -7.8671875, -4.5234375, -7.875, -8.9921875, -9.1875, -8.7890625, -8.1953125, -8.125, -8.21875, -8.0078125, -8.03125, -7.765625, -8.03125, -7.9140625, -8.1640625, -6.859375, -7.01953125, -7.53515625, -8.5, -7.73828125, -7.9609375, -7.1640625, -7.1328125, -4.33984375, -3.25, -3.65625, -5.03125, -5.97265625, -7.2109375, -6.1015625, -6.7109375, -6.15625, -5.53125, -5.515625, -2.857421875, -1.1708984375, -2.4609375, 6.25390625, -0.58935546875, 8.640625, 2.310546875, -4.00390625, 1.50390625, -3.857421875, -4.375, -1.8173828125, -1.4453125, 6.75390625, -0.10345458984375, -5.21875, -6.23046875, -4.109375, -0.5087890625, -1.2890625, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375, -8.3359375 ]

In October 2010, the open-access scientific journal PLoS Pathogens published a paper by a multinational team who undertook a new investigation into the role of Yersinia pestis in the Black Death following the disputed identification by Drancourt and Raoult in 1998. They assessed the presence of DNA/RNA with Polymerase Chain Reaction (PCR) techniques for Y. pestis from the tooth sockets in human skeletons from mass graves in northern, central and southern Europe that were associated archaeologically with the Black Death and subsequent resurgences. The authors concluded that this new research, together with prior analyses from the south of France and Germany, ". . . ends the debate about the etiology of the Black Death, and unambiguously demonstrates that Y. pestis was the causative agent of the epidemic plague that devastated Europe during the Middle Ages".

What scientific journal in France published a prior analysis of the Black Death?

[ "" ]

[ -1 ]

[ "5a2eca47a83784001a7d2484" ]

[ "Black_Death" ]

[ -0.1685791015625, -8.6796875, -8.9765625, -8.953125, -8.90625, -8.59375, -9.0546875, -9.015625, -8.9296875, -8.859375, -8.8359375, -8.890625, -9.046875, -9.15625, -9.0546875, -7.38671875, -7.38671875, -6.60546875, -5.01953125, -4.01953125, -3.97265625, -2.552734375, -1.8203125, -7.1015625, -6.37890625, -4.31640625, -2.103515625, 3.130859375, -7.0625, -4.3671875, -8.5859375, -8.96875, -8.4453125, -9.2109375, -9.1015625, -8.7890625, -8.890625, -9.4765625, -9.3671875, -9.015625, -9.28125, -8.734375, -8.8515625, -8.546875, -8.6796875, -8.515625, -8.0859375, -9.1796875, -9.6328125, -9.6875, -9.953125, -9.453125, -9.078125, -9.1953125, -9.1796875, -8.71875, -8.6015625, -8.875, -8.7265625, -9.2890625, -9.0859375, -9.28125, -9.4296875, -9.171875, -9.3125, -9.1796875, -9.0390625, -2.4140625, -6.9296875, -6.5703125, -7.234375, -7.8046875, -8.1015625, -8.3515625, -8.015625, -9.1484375, -8.78125, -9.1171875, -8.796875, -9.2421875, -9.203125, -9.2578125, -9.2109375, -9.1328125, -8.640625, -9.0390625, -9.1953125, -8.3828125, -8.46875, -8.3828125, -8.890625, -9.1484375, -8.890625, -8.5859375, -8.3359375, -8.4765625, -8.734375, -8.8125, -8.5078125, -8.5625, -8.6953125, -8.6484375, -8.84375, -8.609375, -8.7109375, -8.8984375, -8.8515625, -8.9921875, -8.6640625, -7.25, -8.7578125, -8.5546875, -8.3671875, -8.390625, -8.6015625, -8.3046875, -8.3046875, -8.6015625, -8.828125, -8.6171875, -8.765625, -7.33203125, -5.15625, -8.328125, -7.35546875, -6.26171875, -6.515625, -6.38671875, -6.296875, -6.1875, -5.12890625, -6.01171875, -5.1171875, -4.83203125, -4.07421875, -3.220703125, -4.40234375, -4.66796875, -4.8984375, -6.921875, -4.58984375, -6.6640625, -0.57373046875, -5.69921875, -6.59765625, -7.3828125, -6.73046875, -5.42578125, -8.390625, -7.52734375, -8.25, -7.98828125, -8.015625, -8.75, -8.5859375, -8.3359375, -8.546875, -5.90234375, -8.6484375, -6.890625, -6.1328125, -8.609375, -7.828125, -6.4765625, -6.70703125, -7.078125, -8.6640625, -8.9296875, -8.953125, -8.2265625, -8.25, -8.4375, -9.1953125, -8.4296875, -8.875, -8.859375, -9.0703125, -9.0703125, -9.4453125, -9.1953125, -7.83203125, -8.9765625, -8.8828125, -8.6875, -2.76953125, -3.669921875, -7.38671875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875, -8.7421875 ]

[ 0.249755859375, -8.046875, -7.87890625, -7.98828125, -7.9921875, -7.6953125, -7.69921875, -8.0703125, -8.1484375, -8.2109375, -8.1171875, -8.1015625, -8.1328125, -7.8984375, -7.796875, -5.75, -5.75, -7.8671875, -6.97265625, -4.98046875, -4.3828125, -6.83203125, -6.2109375, -7.50390625, -4.80078125, -6.05078125, -4.96484375, -3.087890625, -2.193359375, 5.55859375, -4.94140625, -7.421875, -7.859375, -7.5546875, -7.66796875, -7.5859375, -7.14453125, -7.3828125, -7.55078125, -7.91015625, -7.60546875, -8.046875, -8.140625, -8.375, -8.1875, -8.359375, -8.28125, -7.4296875, -5.46875, -3.947265625, -3.919921875, -7.28125, -7.73046875, -7.57421875, -6.6171875, -7.92578125, -8.3515625, -7.859375, -7.921875, -7.734375, -8.03125, -7.8046875, -7.5546875, -7.9140625, -7.5234375, -6.67578125, -7.64453125, -4.31640625, -6.4375, -8.828125, -8.9609375, -9.0546875, -8.78125, -8.6953125, -8.5859375, -7.890625, -8.03125, -7.87890625, -8.046875, -7.91796875, -7.92578125, -7.56640625, -7.33984375, -8.0546875, -8.3359375, -7.97265625, -7.66796875, -8.3046875, -8.5703125, -8.5859375, -8.1875, -7.75, -8.0625, -8.4921875, -8.828125, -8.5625, -8.421875, -8.3984375, -8.5078125, -8.375, -8.3671875, -8.3828125, -8.1328125, -8.4609375, -8.3671875, -8.40625, -8.390625, -8.3125, -8.125, -7.47265625, -8.1953125, -8.5625, -8.421875, -8.3671875, -8.2890625, -8.71875, -8.6796875, -8.390625, -7.72265625, -8.46875, -8.203125, -8.0859375, -6.92578125, -7.3984375, -8.2421875, -7.6171875, -8.1640625, -8.59375, -8, -7.9296875, -7.9296875, -7.45703125, -7.265625, -8.3203125, -7.64453125, -6.67578125, -7.265625, -8.21875, -6.96484375, -7.83984375, -7.08984375, -7.1328125, -2.111328125, -5.33203125, -7.52734375, -7.1171875, -7.46484375, -8.21875, -8.3515625, -7.59765625, -8.40625, -8.84375, -8.109375, -7.4921875, -8.2421875, -8.3046875, -7.734375, -5.59375, -7.4140625, -8.625, -8.875, -8.3984375, -8.5390625, -9, -9.3203125, -8.625, -8, -7.4921875, -7.76953125, -8.5859375, -8.359375, -7.8671875, -7.328125, -6.7734375, -7.82421875, -7.875, -7.20703125, -6.76953125, -7.296875, -7.35546875, -7.2265625, -7.38671875, -7.296875, -6.2421875, -2.056640625, -3.666015625, -5.75, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875, -8.6171875 ]

The first European to travel the length of the Amazon River was Francisco de Orellana in 1542. The BBC's Unnatural Histories presents evidence that Orellana, rather than exaggerating his claims as previously thought, was correct in his observations that a complex civilization was flourishing along the Amazon in the 1540s. It is believed that the civilization was later devastated by the spread of diseases from Europe, such as smallpox. Since the 1970s, numerous geoglyphs have been discovered on deforested land dating between AD 0–1250, furthering claims about Pre-Columbian civilizations. Ondemar Dias is accredited with first discovering the geoglyphs in 1977 and Alceu Ranzi with furthering their discovery after flying over Acre. The BBC's Unnatural Histories presented evidence that the Amazon rainforest, rather than being a pristine wilderness, has been shaped by man for at least 11,000 years through practices such as forest gardening and terra preta.

The BBC's documentary presented evidence that the Amazon had been a pristine wilderness for at least how long?

[ "" ]

[ -1 ]

[ "5a0c7b88f5590b0018dab422" ]

[ "Amazon_rainforest" ]

[ -1.1337890625, -9.1875, -9.1640625, -9.3515625, -8.9375, -9.390625, -8.9765625, -8.90625, -9.234375, -9.0625, -9.0546875, -9.171875, -9.1640625, -9.140625, -9.28125, -9.1484375, -9.171875, -9.1875, -9.0625, -8.90625, -9.5, -6.25, -8.6171875, -7.80078125, -7.484375, -7.30078125, -8.484375, -8.203125, -8.078125, -7.98828125, -8.1015625, -7.78125, -7.16015625, -6.3515625, -7.40234375, -7.5390625, -8.453125, -8.109375, -7.88671875, -7.0390625, -8.296875, -6.30078125, -3.388671875, -3.359375, -3.7421875, -5.25390625, -5.83203125, -3.58984375, -7.69921875, -7.04296875, -3.810546875, -6.48046875, -5.9609375, -7.453125, -7.08984375, -7.69140625, -7.8359375, -8.3515625, -8.25, -8.609375, -8.296875, -8.6796875, -8.3515625, -8.1875, -8.59375, -8.421875, -7.0859375, -8.4140625, -8.15625, -8.1015625, -8.3125, -8.2265625, -7.90625, -7.453125, -7.546875, -8.1953125, -8.1640625, -8.484375, -8.2578125, -8.3203125, -8.2109375, -7.859375, -7.97265625, -7.9140625, -6.390625, -7.0859375, -5.6953125, -4.203125, -8.359375, -9, -8.875, -8.5078125, -8.3125, -8.46875, -8.6875, -8.890625, -8.796875, -8.90625, -8.5703125, -8.953125, -9.1796875, -8.9765625, -9.1484375, -7.84765625, -9.5390625, -9.5, -9.25, -8.8359375, -7.375, -4.09375, -8.1796875, -8.90625, -8.3515625, -8.4921875, -8.9609375, -8.8046875, -8.765625, -9.03125, -8.953125, -8.8828125, -9.015625, -9, -8.921875, -8.765625, -8.7265625, -9.0546875, -9.125, -8.8125, -8.796875, -8.7109375, -8.8359375, -9.203125, -9.046875, -8.5390625, -7.91015625, -8.5, -8.6875, -8.71875, -8.4296875, -8.6171875, -7.66796875, -8.7890625, -8.34375, -8.5625, -4.015625, -8.515625, -8.6171875, -9.046875, -9.21875, -9.296875, -9.015625, -8.78125, -9.046875, -8.96875, -8.859375, -8.6953125, -8.609375, -8.6328125, -8.59375, -8.84375, -8.8125, -8.8671875, -8.640625, -7.859375, -8.6875, -8.78125, -9.2109375, -9.3125, -9.234375, -9.0078125, -8.9375, -8.9296875, -9.0859375, -8.78125, -8.421875, -8.7734375, -8.2734375, -8.3984375, -5.8203125, -4.765625, -2.7890625, -1.7568359375, -3.94921875, -5.234375, -2.857421875, -7.12890625, -5.65625, -2.580078125, -3.177734375, -1.0673828125, 0.444580078125, -4.078125, -5.2890625, -6.94140625, -4.46484375, -3.826171875, -3.65625, -5.94140625, -5.2265625, -5.5234375, -4.7109375, -2.935546875, -2.068359375, -2.271484375, -4.01953125, -3.31640625, -7.60546875, -2.10546875, -1.5654296875, 0.80810546875, -3.572265625, 8.46875, -5.921875, -4.5, -0.8271484375, -7.34765625, -7.78125, -9.21875, -8.625, -7.07421875, -8.8515625, -9.0546875, -6.171875, -8.484375, -8.140625, -4.60546875, -6.25, -9.03125, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625, -9.140625 ]

[ -0.92578125, -7.84765625, -7.765625, -7.6796875, -7.91796875, -7.6328125, -8.1796875, -8.171875, -7.640625, -7.39453125, -7.82421875, -7.73046875, -7.8515625, -7.85546875, -7.4375, -7.49609375, -7.31640625, -7.4765625, -7.5703125, -7.26171875, -6.85546875, -1.2294921875, -8.5234375, -8.390625, -8.546875, -8.265625, -8.046875, -8.28125, -8.5625, -8.5859375, -8.7265625, -8.7890625, -8.09375, -7.4765625, -8.7265625, -8.28125, -7.9140625, -7.92578125, -7.17578125, -6.90625, -8.328125, -8.1171875, -6.265625, -5.7109375, -7.29296875, -8.015625, -7.7109375, -7.1015625, -7.69140625, -6.07421875, -3.82421875, -7.8515625, -8.4765625, -8.75, -8.546875, -8.0546875, -7.69140625, -8.3203125, -8.4375, -8.25, -8.1953125, -8.03125, -8.3984375, -8.0546875, -8.265625, -8.0078125, -7.6875, -8.3671875, -8.65625, -8.296875, -8.421875, -8.546875, -8.3046875, -8.9921875, -8.859375, -8.3671875, -8.09375, -8.4296875, -7.79296875, -8.140625, -8.4609375, -7.8359375, -8.4609375, -8.484375, -8.078125, -7.37890625, -6.546875, -5.21484375, -8.1171875, -7.73828125, -7.11328125, -8.34375, -8.53125, -8.2109375, -8.234375, -8.0078125, -7.9453125, -8.03125, -8.3125, -7.9765625, -7.7734375, -7.67578125, -7.78515625, -7.4921875, -7.22265625, -7.41015625, -7.71875, -7.74609375, -7.234375, -4.1328125, -8.4921875, -8.2421875, -8.1640625, -8.015625, -8.109375, -8.28125, -8.265625, -7.96484375, -8.09375, -8.2890625, -8.1640625, -8.15625, -8.171875, -8.390625, -8.40625, -7.78125, -8.03125, -8.21875, -8.359375, -8.3828125, -8.0078125, -7.86328125, -7.66015625, -8.1171875, -8.1796875, -8.6015625, -8.4296875, -8.40625, -8.515625, -8.390625, -8.53125, -8.2109375, -8.0546875, -7.9765625, -6.77734375, -8.421875, -8.171875, -7.9609375, -7.80859375, -7.73046875, -7.8828125, -7.7890625, -7.890625, -7.8515625, -8.171875, -8.3984375, -8.5234375, -8.3828125, -8.3671875, -8.078125, -8.1875, -8.28125, -8.4296875, -8.203125, -8.25, -8.15625, -7.796875, -7.62890625, -7.4375, -7.55078125, -7.97265625, -8.09375, -7.9921875, -8.21875, -8.3671875, -8.296875, -8.46875, -8.265625, -7.60546875, -6.58984375, -4.3515625, -6.59765625, -7.1015625, -7.0703125, -7.01171875, -7.328125, -5.58203125, -2.337890625, -7.0703125, -6.1328125, -7.1875, -8.4765625, -6.83984375, -7.8671875, -6.890625, -7.24609375, -7.07421875, -7.2578125, -8.8125, -8.78125, -8.3984375, -7.078125, -6.24609375, -7.53515625, -7.4453125, -6.33203125, -6.0078125, -1.3828125, -4.73828125, -4.91015625, -4.078125, -1.3623046875, -2.37109375, 0.70849609375, 9.9453125, -2.669921875, -3.220703125, -4.1015625, -5.6640625, -7.1328125, -5.48828125, -3.705078125, -4.28515625, -5.46484375, -2.826171875, -0.5224609375, -1.2294921875, -5.51953125, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625, -8.140625 ]

The immune system is a system of many biological structures and processes within an organism that protects against disease. To function properly, an immune system must detect a wide variety of agents, known as pathogens, from viruses to parasitic worms, and distinguish them from the organism's own healthy tissue. In many species, the immune system can be classified into subsystems, such as the innate immune system versus the adaptive immune system, or humoral immunity versus cell-mediated immunity. In humans, the blood–brain barrier, blood–cerebrospinal fluid barrier, and similar fluid–brain barriers separate the peripheral immune system from the neuroimmune system which protects the brain.

What connects the peripheral immune system to the neuroimmune system?

[ "" ]

[ -1 ]

[ "5ad49c34ba00c4001a268d9e" ]

[ "Immune_system" ]

[ 0.62255859375, -8.5390625, -8.0078125, -8.703125, -8.65625, -9.015625, -9.109375, -8.7734375, -8.7109375, -8.453125, -9.3671875, -9.3515625, -8.9140625, -6.7734375, -9.171875, -8.6796875, -8.140625, -8.3984375, -8.0625, -7.33984375, -6.24609375, -7.59765625, -6.63671875, -6.9140625, -7.1171875, -8.8359375, -7.296875, -7.93359375, -7.93359375, -6.65625, -8.0078125, -7.3125, -8.5859375, -1.814453125, -6.7734375, -8.4453125, -8.3671875, -8.46875, -7.8671875, -7.796875, -8.1015625, -8.2421875, -7.90234375, -7.35546875, -8.3046875, -8.5859375, -8.734375, -8.6640625, -8.4140625, -8.6171875, -8.3046875, -8.3671875, -7.90234375, -8.578125, -8.359375, -8.3046875, -8.703125, -8.59375, -8.28125, -8.734375, -8.109375, -7.42578125, -8.234375, -8.15625, -7.60546875, -7.37109375, -8.3828125, -8.578125, -8.453125, -5.2109375, -6.7734375, -8.390625, -8.703125, -8.2734375, -8.4765625, -7.67578125, -8.359375, -8.7890625, -8.96875, -9.0625, -9.015625, -8.875, -7.265625, -8.359375, -8.8359375, -8.625, -8.1328125, -6.96484375, -7.23828125, -8.71875, -8.6328125, -8.6171875, -7.40625, -6.578125, -8.7890625, -8.8828125, -9.203125, -8.515625, -7.796875, -8.7421875, -8.890625, -8.7265625, -7.6171875, -8.8203125, -8.7890625, -4.2734375, 1.1416015625, 0.93359375, -1.2333984375, 1.421875, 1.9453125, 2.20703125, -7.3984375, -7.62109375, -7.05859375, -7.234375, -5.8984375, -8.3125, -7.7890625, -8.3671875, -8.3671875, -8.6875, -8.28125, -7.4453125, -6.53515625, -7.1640625, -6.72265625, -7.47265625, -3.654296875, -8.1015625, -7.671875, -2.935546875, -3.2734375, -7.2890625, -7.55078125, -8.28125, -7.7734375, -4.52734375, -6.1875, -6.96875, -8.375, -6.546875, -6.8203125, -5.90625, -7.49609375, -0.86962890625, -6.7734375, -9.0390625, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375, -8.984375 ]

[ 0.984375, -8.09375, -8.265625, -8.3828125, -8.25, -7.9296875, -7.98046875, -8.109375, -8.2578125, -8.0703125, -7.47265625, -7.24609375, -7.66015625, -3.07421875, -8.1171875, -8.140625, -8.1015625, -7.578125, -8.7734375, -8.734375, -8.1328125, -8.4453125, -8.609375, -7.859375, -7.9375, -8.0078125, -7.88671875, -8.3046875, -8.640625, -8.03125, -8.6640625, -8.8515625, -8.0859375, -4.41796875, -3.078125, -8.6171875, -8.484375, -8.3671875, -8.953125, -9, -8.4921875, -8.2109375, -8.7890625, -8.90625, -8.6953125, -8.53125, -8.375, -8.421875, -8.2265625, -8.5546875, -8.75, -8.71875, -8.4375, -8.5625, -8.78125, -8.5078125, -8.46875, -8.3046875, -7.82421875, -8.40625, -8.8203125, -8.9609375, -8.703125, -8.6328125, -9.0703125, -8.765625, -8.453125, -8.1953125, -7.96484375, -6.140625, -3.076171875, -8.390625, -8.140625, -8.328125, -8.4609375, -8.9453125, -8.1640625, -7.87109375, -8.15625, -8.0859375, -7.74609375, -7.9765625, -8.3203125, -7.984375, -8.1640625, -8.3515625, -8.8515625, -9.140625, -8.8046875, -7.79296875, -7.703125, -8.203125, -9.0625, -8.5703125, -7.453125, -6.9375, -7.66796875, -8.5859375, -8.734375, -8.1640625, -7.5625, -8.0390625, -8.5234375, -8.046875, -7.35546875, -4.234375, -3.888671875, -6.44140625, -3.45703125, -4.69921875, -6.2265625, -6.21484375, -6.1171875, -5.36328125, -3.20703125, -3.6171875, -6.58203125, -5.94140625, -6.2578125, -6.375, -5.64453125, -5.1953125, -4.68359375, -4.2890625, -0.42236328125, -1.556640625, -3.6484375, -5.61328125, -6.57421875, -5.7265625, -4.03125, 0.927734375, -1.6728515625, -7.34765625, -7.2890625, -6.83203125, -6.31640625, -5.30859375, -8.1328125, -7.98046875, -6.359375, -5.98046875, -7.74609375, -7.70703125, -6.71484375, 0.2890625, -3.07421875, -5.8671875, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625, -8.390625 ]

While acknowledging the central role economic growth can potentially play in human development, poverty reduction and the achievement of the Millennium Development Goals, it is becoming widely understood amongst the development community that special efforts must be made to ensure poorer sections of society are able to participate in economic growth. The effect of economic growth on poverty reduction – the growth elasticity of poverty – can depend on the existing level of inequality. For instance, with low inequality a country with a growth rate of 2% per head and 40% of its population living in poverty, can halve poverty in ten years, but a country with high inequality would take nearly 60 years to achieve the same reduction. In the words of the Secretary General of the United Nations Ban Ki-Moon: "While economic growth is necessary, it is not sufficient for progress on reducing poverty."

What isn't economic growth sufficient for progress on?

[ "reducing poverty", "reducing poverty", "reducing poverty" ]

[ 884, 884, 884 ]

[ "572a1a5c6aef051400155288", "572a1a5c6aef051400155288", "572a1a5c6aef051400155288" ]

[ "Economic_inequality", "Economic_inequality", "Economic_inequality" ]

[ -0.9150390625, -7.9765625, -7.8359375, -8.3515625, -8.015625, -8.3359375, -8.2578125, -8.515625, -8.3203125, -8.3984375, -8.015625, -6.3671875, -8.9140625, -8.2734375, -6.6171875, -7.4765625, -7.47265625, -6.78125, -6.25390625, -7.90234375, -7.578125, -7.84765625, -7.51171875, -6.4375, -6.25390625, -7.875, -7.27734375, -3.51171875, -7.47265625, -7.8515625, -6.9453125, -6.85546875, -7.9765625, -6.484375, -5.734375, -8.5546875, -3.083984375, -6.0234375, -7.73046875, -8.7265625, -8.7265625, -8.7734375, -8.1875, -8.8203125, -8.4609375, -8.3671875, -7.48046875, -7.39453125, -8.2265625, -8.3515625, -8.71875, -8.71875, -8.125, -7.80859375, -7.0234375, -7.44140625, -8.84375, -9.046875, -8.15625, -9, -8.6875, -8.25, -8.171875, -8.171875, -7.4921875, -4.05859375, -4.9453125, -7.3828125, -7.7890625, -8.2890625, -7.61328125, -8.359375, -8.03125, -7.16796875, -8.21875, -8.4453125, -7.45703125, -7.6171875, -8.9140625, -8.84375, -9.078125, -6.4375, -8.4375, -8.09375, -7.9765625, -7.79296875, -7.15625, -7.5625, -7.84375, -8.4375, -4.6796875, -6.3671875, -6.87890625, -6.78125, -5.19140625, -5.2734375, -7.73046875, -6.6875, -5.75, -7.41796875, -7.66015625, -7.6640625, -7.5859375, -8.234375, -8.078125, -7.12109375, -8.265625, -8.578125, -8.4921875, -8.0078125, -7.89453125, -8.5859375, -8.328125, -8.265625, -8.21875, -8.65625, -8.6015625, -3.666015625, -8.3125, -8.015625, -8.3125, -8.7265625, -7.46875, -8.84375, -8.765625, -7.1171875, -7.87109375, -6.23046875, -5.2109375, -7.09375, -8.21875, -7.765625, -7.71484375, -8.5234375, -8.7578125, -8.765625, -9.0234375, -8.859375, -8.765625, -8.7109375, -8.4140625, -8.8125, -4.0078125, -3.828125, -4.109375, -6.6953125, -6.89453125, -7.79296875, -6.75390625, -5.84375, -8.09375, -8.53125, -8.078125, -7.11328125, -3.04296875, -3.9375, -8.5234375, -8.390625, -3.2265625, -4.87109375, -3.32421875, 0.2548828125, 1.1123046875, -2.783203125, -2.064453125, 1.7080078125, -1.625, -0.328369140625, -5.203125, -2.986328125, -2.177734375, -1.9091796875, -0.58349609375, -1.107421875, 5.671875, 0.9794921875, -1.322265625, -6.3671875, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625, -8.90625 ]

[ -0.849609375, -8.171875, -8.46875, -8.265625, -8.4140625, -7.83203125, -7.9140625, -8.2890625, -8.359375, -8.25, -8.1484375, -2.537109375, -8.1796875, -8.40625, -8.8671875, -9.015625, -8.734375, -8.8359375, -8.796875, -8.1796875, -8.8671875, -8.5390625, -8.75, -9.1640625, -8.734375, -8.2734375, -8.9375, -7.42578125, -5.68359375, -8.3671875, -8.84375, -8.421875, -8.515625, -8.4921875, -7.73046875, -7.4453125, -5.0390625, -7.10546875, -8.609375, -8.1171875, -8.2265625, -8.1875, -8.3125, -8.21875, -8.5703125, -8.2421875, -6.87109375, -8.9453125, -8.3203125, -8.2109375, -8.1171875, -8.265625, -8.3828125, -8.875, -9.203125, -8.3203125, -7.01953125, -7.3984375, -5.4140625, -7.7578125, -8.078125, -8.4296875, -8.09375, -8.2578125, -8.078125, -5.9140625, -5.9296875, -8.8046875, -8.7890625, -8.6875, -8.6796875, -8.265625, -8.703125, -8.6484375, -7.828125, -8.1953125, -9.1328125, -8.734375, -7.85546875, -8.078125, -7.9453125, -7.43359375, -7.93359375, -8.640625, -8.59375, -8.875, -9.0546875, -8.7890625, -8.59375, -8.453125, -6.59375, -2.537109375, -8.15625, -7.828125, -8.875, -8.8984375, -8.3515625, -8.078125, -9.0390625, -8.7421875, -8.7890625, -8.9453125, -8.6796875, -8.453125, -8.6875, -8.703125, -8.3515625, -8.3984375, -8.2109375, -8.6640625, -8.5078125, -8.125, -8.484375, -8.65625, -8.1171875, -8.15625, -8.25, -5.765625, -8.375, -8.7265625, -8.40625, -8.390625, -7.58203125, -7.97265625, -7.91015625, -7.3828125, -7.640625, -8.75, -8.953125, -8.328125, -7.8671875, -8.078125, -7.25, -8.03125, -7.4921875, -7.8046875, -7.390625, -6.9140625, -7.80078125, -7.95703125, -8.1875, -7.7421875, -5.125, -3.87109375, -6.6640625, -8.0859375, -7.3671875, -7.96484375, -8.40625, -7.8203125, -6.5625, -7.2734375, -7.53125, -6.8671875, -3.615234375, -6.5390625, -6.4453125, -6.61328125, -3.9921875, -6.61328125, -7.62109375, -5.45703125, -5.63671875, -6.00390625, -6.9765625, 0.16650390625, -1.7529296875, -5.421875, -6.98046875, -6.54296875, -3.541015625, -7.4453125, -6.46875, -5.796875, -2.826171875, 5.4609375, 0.47412109375, -2.53515625, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875, -8.3671875 ]

Each year, the southern California area has about 10,000 earthquakes. Nearly all of them are so small that they are not felt. Only several hundred are greater than magnitude 3.0, and only about 15–20 are greater than magnitude 4.0. The magnitude 6.7 1994 Northridge earthquake was particularly destructive, causing a substantial number of deaths, injuries, and structural collapses. It caused the most property damage of any earthquake in U.S. history, estimated at over $20 billion.

How many earthquakes does southern California experience in a year?

[ "10,000", "10,000", "10,000" ]

[ 50, 50, 50 ]

[ "5705fec152bb89140068977a", "5705fec152bb89140068977a", "5705fec152bb89140068977a" ]

[ "Southern_California", "Southern_California", "Southern_California" ]

[ -0.8388671875, -9.0625, -8.9296875, -9.015625, -8.8984375, -8.8984375, -9.0078125, -8.25, -8.921875, -8.9453125, -8.5078125, -8.78125, -5.69921875, -6.828125, -1.1396484375, -0.5830078125, 1.775390625, 0.8115234375, -0.74267578125, -1.8203125, 0.5224609375, 1.83984375, 6.91796875, 8.3671875, -5.74609375, -0.884765625, -1.8359375, -3.388671875, -4.67578125, -7.91796875, -8.0234375, -7.33984375, -8.6171875, -8.6796875, -8.015625, -8.734375, -8.625, -9.1015625, -9.0859375, -3.427734375, -4.44140625, -4.18359375, -6.74609375, -7.90234375, -8.6796875, -8.9453125, -9.0390625, -8.875, -8.734375, -9.5, -8.7890625, -8.96875, -8.4921875, -7.6484375, -7.53125, -7.10546875, -8.875, -8.78125, -8.6484375, -8.3359375, -8.640625, -7.62890625, -7.87109375, -8.4140625, -5.58984375, -6.53515625, -7.5390625, -7.484375, -8.421875, -9.1328125, -8.7109375, -6.92578125, -7.95703125, -8.875, -8.8203125, -9.1796875, -9.4140625, -9.015625, -8.984375, -9.0390625, -8.9609375, -9.0859375, -9.0546875, -8.984375, -8.9921875, -9.0703125, -9.3125, -9.3125, -9.2890625, -9.4765625, -8.609375, -9.0703125, -8.734375, -8.9609375, -8.7109375, -8.8203125, -9.2421875, -9.2421875, -8.7734375, -8.703125, -9.0546875, -9.15625, -9.015625, -9.3125, -9.3203125, -9.359375, -8.4296875, -9.140625, -9.046875, -9.0625, -8.4921875, -8.6796875, -9.046875, -8.3203125, -5.69921875, -9.0390625, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375, -8.84375 ]

[ -0.615234375, -7.83203125, -7.828125, -7.45703125, -8.109375, -8.1328125, -7.515625, -8.09375, -7.97265625, -7.953125, -7.75, -7.76171875, -0.392333984375, -8.7734375, -5.12109375, -3.900390625, -4.3515625, -6.05859375, -6.24609375, -4.8125, -3.87109375, -3.73046875, -1.083984375, -0.57568359375, -1.5576171875, 6.62109375, 5.08203125, 1.0556640625, -6.921875, -7.9609375, -8.265625, -8.046875, -7.890625, -7.72265625, -6.6953125, -7.921875, -7.9140625, -7.4453125, -7.29296875, -1.681640625, -4.28125, -7.30859375, -7.5, -7.1484375, -7.4375, -6.6484375, -6.8359375, -6.44140625, -6.4921875, -5.8359375, -5.21875, -5.3671875, -6.36328125, -6.84765625, -7.4453125, -7.5390625, -6.20703125, -6.66015625, -7.421875, -6.390625, -6.3984375, -5.66015625, -4.578125, -2.322265625, 0.25390625, -2.052734375, -7.58203125, -8.046875, -7.328125, -7.125, -6.7109375, -7.18359375, -7.828125, -6.77734375, -6.109375, -7.68359375, -7.54296875, -7.3125, -8.0703125, -7.90234375, -8, -7.95703125, -7.9765625, -8.0859375, -8.015625, -8.0390625, -7.5, -7.6875, -7.71875, -7.28125, -6.01171875, -6.41015625, -7.93359375, -7.93359375, -8.296875, -8.3125, -7.84765625, -7.6796875, -8.296875, -8.296875, -7.38671875, -7.84375, -7.6328125, -7.375, -7.43359375, -7.47265625, -7.76953125, -7.86328125, -7.7734375, -7.81640625, -7.921875, -7.9375, -7.484375, -7.15625, -0.393310546875, -8.046875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875, -8.4921875 ]

The plague disease, caused by Yersinia pestis, is enzootic (commonly present) in populations of fleas carried by ground rodents, including marmots, in various areas including Central Asia, Kurdistan, Western Asia, Northern India and Uganda. Nestorian graves dating to 1338–39 near Lake Issyk Kul in Kyrgyzstan have inscriptions referring to plague and are thought by many epidemiologists to mark the outbreak of the epidemic, from which it could easily have spread to China and India. In October 2010, medical geneticists suggested that all three of the great waves of the plague originated in China. In China, the 13th century Mongol conquest caused a decline in farming and trading. However, economic recovery had been observed at the beginning of the 14th century. In the 1330s a large number of natural disasters and plagues led to widespread famine, starting in 1331, with a deadly plague arriving soon after. Epidemics that may have included plague killed an estimated 25 million Chinese and other Asians during the 15 years before it reached Constantinople in 1347.

What is the term for a disease that is not commonly present?

[ "" ]

[ -1 ]

[ "5a2eb95ca83784001a7d242d" ]

[ "Black_Death" ]

[ 0.85107421875, -8.84375, -8.875, -8.875, -8.8515625, -8.7734375, -8.6953125, -8.9140625, -8.9296875, -8.9140625, -8.9140625, -9.1875, -8.9453125, -9.15625, -7.86328125, -7.86328125, -1.5302734375, 0.416015625, -0.7080078125, -2.9609375, -4.16796875, -7.0390625, -4.72265625, -7.80859375, -7.5546875, -6.1171875, -4.2265625, -1.7919921875, -2.220703125, -0.365966796875, -6.71484375, -4.03515625, -5.640625, -5.96484375, -7.95703125, -5.3203125, -5.10546875, -5.21484375, -7.86328125, -8.6875, -7.921875, -9.1953125, -8.8515625, -9.140625, -9.0859375, -8.796875, -9.203125, -9.1484375, -9.296875, -9.5078125, -9.3828125, -9.0625, -9.015625, -9.3046875, -9.4765625, -9.0703125, -8.8046875, -9.1953125, -9.1953125, -9.5, -9.34375, -9.3671875, -9.296875, -9.2734375, -9.2890625, -9.265625, -9.390625, -5.52734375, -4.84375, -8.171875, -9.3125, -8.9296875, -9.2734375, -9.171875, -9.28125, -9.3359375, -9.3828125, -9.0234375, -9, -8.984375, -9.2265625, -9.2734375, -9.3359375, -9.34375, -8.7421875, -9.3046875, -9.3046875, -8.71875, -9.0703125, -9.21875, -9.1953125, -9.2890625, -8.9453125, -8.3671875, -8.96875, -8.84375, -8.984375, -9.1640625, -9.1015625, -9.28125, -9.484375, -9.2734375, -8.8203125, -8.890625, -8.78125, -9.0703125, -8.921875, -8.9765625, -8.5859375, -9.140625, -8.6484375, -8.6875, -8.640625, -8.6640625, -8.9140625, -8.8828125, -8.6796875, -8.8359375, -7.375, -8.9921875, -7.05078125, -8.28125, -8.4609375, -8.8828125, -8.4765625, -8.765625, -8.796875, -9.109375, -9.1015625, -8.6640625, -8.2734375, -8.234375, -8.59375, -8.4921875, -8.5625, -8.890625, -8.7421875, -8.609375, -8.40625, -8.296875, -9.1328125, -8.9140625, -7.171875, -9.28125, -8.2734375, -7.46875, -9.09375, -8.578125, -9.1015625, -9.4375, -9.28125, -8.828125, -9.1015625, -9.2109375, -9.1015625, -9.3046875, -9.28125, -9.15625, -9.3203125, -8.8984375, -7.86328125, -8.7421875, -8.7265625, -8.890625, -9.1640625, -8.9921875, -8.9453125, -9.34375, -9.1328125, -8.9140625, -9.0234375, -8.8828125, -8.7890625, -8.640625, -9.3984375, -8.7734375, -8.734375, -8.6796875, -8.75, -8.953125, -9.0390625, -9.015625, -8.828125, -9.0703125, -9.15625, -8.984375, -9.125, -9.1484375, -9.0390625, -9.109375, -9.2109375, -9.015625, -8.875, -8.9296875, -8.7890625, -8.84375, -8.796875, -8.671875, -8.6484375, -8.7265625, -8.5625, -8.34375, -8.40625, -8.875, -9.0390625, -9.078125, -9.1015625, -8.9140625, -8.546875, -8.8125, -8.921875, -8.9609375, -8.984375, -8.875, -8.84375, -9, -9.1640625, -8.9765625, -9.1640625, -9.09375, -9.2109375, -8.9921875, -9.1484375, -9.2421875, -9.3046875, -9.171875, -8.984375, -9.1796875, -9.1015625, -8.8984375, -8.765625, -9.1015625, -8.359375, -9.0390625, -8.796875, -8.8359375, -7.86328125, -9.125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125, -9.1328125 ]

[ 1.1787109375, -7.96875, -8, -8.0625, -8.03125, -8.1484375, -8.34375, -8.1015625, -7.9765625, -8.125, -8.1796875, -7.91015625, -7.80859375, -7.7578125, -6.17578125, -6.1796875, -5.9296875, -3.69921875, -3.791015625, -6.34375, -8.3046875, -8.625, -8.5078125, -8.6171875, -7.921875, -7.9375, -6.54296875, -7.01953125, -7.63671875, -6.3984375, -4.359375, 1.6796875, -7.6875, -8.6015625, -7.91015625, -7.07421875, -7.9453125, -8.078125, -7.47265625, -7.515625, -7.53515625, -7.18359375, -7.52734375, -7.57421875, -7.48046875, -5.84375, -7.48828125, -7.5078125, -7.56640625, -7.42578125, -6.7265625, -6.359375, -7.16796875, -7.37890625, -7.01171875, -7.71484375, -7.99609375, -7.50390625, -7.640625, -7.1796875, -7.37109375, -7.53515625, -7.375, -7.38671875, -7.55078125, -7.3125, -7.35546875, -4.55078125, -4.2109375, -8.390625, -7.71875, -7.97265625, -7.7890625, -7.97265625, -7.7578125, -7.73828125, -7.4921875, -7.859375, -8.015625, -7.9921875, -7.67578125, -7.67578125, -7.4765625, -7.7734375, -7.9609375, -7.4765625, -7.53515625, -6.8671875, -7.96484375, -7.921875, -7.80859375, -7.76171875, -8.1484375, -7.73046875, -8.234375, -8.234375, -8.2109375, -8.0078125, -8.0859375, -7.76953125, -7.69140625, -7.6953125, -8.3984375, -8.234375, -8.3828125, -8.03125, -8.2265625, -8.0546875, -7.5546875, -7.99609375, -8.3984375, -8.5546875, -8.421875, -8.5390625, -8.3046875, -8.296875, -8.234375, -8.171875, -8.59375, -8.078125, -6.76953125, -5.3515625, -8.6796875, -8.3359375, -8.21875, -8.4375, -8.3828125, -8.1171875, -8.2109375, -8.6015625, -8.8671875, -8.703125, -8.3203125, -8.6328125, -8.6328125, -8.3125, -8.28125, -8.609375, -8.6953125, -8.0703125, -8.0546875, -8.2578125, -7.92578125, -7.60546875, -8.4765625, -8.421875, -8.078125, -8.4921875, -7.90234375, -7.62890625, -7.79296875, -8.15625, -7.87109375, -7.89453125, -8.0625, -7.77734375, -7.7734375, -7.828125, -7.7734375, -7.9453125, -6.17578125, -8.4296875, -8.5234375, -8.203125, -8.0390625, -8.2265625, -8.296875, -7.8515625, -8.0859375, -8.2265625, -8.0078125, -8.3359375, -8.359375, -8.0625, -7.625, -7.4375, -8.421875, -8.609375, -8.53125, -8.3515625, -8.234375, -8.2734375, -8.4609375, -8.25, -8.15625, -8.265625, -8.15625, -8.1171875, -8.2890625, -8.21875, -8.0703125, -8.3125, -8.453125, -8.40625, -8.3359375, -8.5, -8.5390625, -8.625, -8.609375, -8.546875, -8.75, -8.8671875, -8.78125, -8.375, -8.046875, -8.15625, -8.1015625, -8.2265625, -8.5859375, -8.3828125, -8.3515625, -8.328125, -8.3515625, -8.4140625, -8.4921875, -8.0625, -8.0859375, -8.328125, -8.09375, -8.171875, -8.0859375, -8.171875, -8.1484375, -8.015625, -7.8515625, -8.1640625, -8.34375, -8.140625, -8.2421875, -8.3671875, -8.4765625, -8.1875, -8.4609375, -8.2421875, -8.328125, -8.25, -6.1796875, -8.265625, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375, -8.2734375 ]

In ring theory, the notion of number is generally replaced with that of ideal. Prime ideals, which generalize prime elements in the sense that the principal ideal generated by a prime element is a prime ideal, are an important tool and object of study in commutative algebra, algebraic number theory and algebraic geometry. The prime ideals of the ring of integers are the ideals (0), (2), (3), (5), (7), (11), … The fundamental theorem of arithmetic generalizes to the Lasker–Noether theorem, which expresses every ideal in a Noetherian commutative ring as an intersection of primary ideals, which are the appropriate generalizations of prime powers.

What type of ideals generalize Noetherian arithmetic?

[ "" ]

[ -1 ]

[ "5a89473c3b2508001a72a599" ]

[ "Prime_number" ]

[ 0.472900390625, -9.015625, -9.328125, -9.3203125, -9.3828125, -9.203125, -9.3359375, -9.1171875, -9.234375, -9.390625, -9.03125, -9.25, -7.59765625, -7.59765625, -7.1015625, -6.9140625, -6.19140625, -7.30078125, -8.0546875, -8.2734375, -8.921875, -7.7109375, -9, -8.5703125, -8.6640625, -7.80078125, -7.6640625, -7.765625, -1.1474609375, -4.1171875, -2.2734375, -7.07421875, -8.09375, -7.21484375, -6.5390625, -8.359375, -6.890625, -6.15625, -7.51171875, -6.75, -5.00390625, -4.5625, -3.64453125, -4.46875, -7.2734375, -8.6171875, -8.953125, -8.6640625, -7.796875, -8.4375, -8.78125, -8.5625, -8.078125, -4.796875, -7.45703125, -8.453125, -8.8046875, -8.515625, -7.3046875, -9.2421875, -9, -9.2890625, -7.06640625, -8.6953125, -8.5, -9.0703125, -9.3203125, -8.8515625, -9.015625, -9.109375, -9.296875, -9.484375, -9.34375, -9.203125, -8.84375, -9.4453125, -5.359375, -4.87890625, -4.515625, -7.8125, -9.09375, -8.8671875, -8.328125, -7.1953125, -8.7265625, -3.673828125, -5.99609375, -3.5703125, -1.8037109375, -3.791015625, -6.359375, -8.296875, -8.078125, -8.2421875, -7.96875, -7.97265625, -8.0234375, -7.90625, -8.140625, -7.94921875, -8.09375, -8.296875, -7.96484375, -7.7578125, -8.328125, -6.76953125, -4.171875, -3.84765625, -3.623046875, -5.1953125, -4.5625, -8.4921875, -5.546875, -5.359375, -6.08203125, -4.25390625, -2.62890625, -2.130859375, -8.4453125, -8.53125, -8.625, -8.703125, -7.58203125, -1.568359375, -4.46875, -3.53515625, -2.5703125, -5.10546875, -6.45703125, -8.625, -8.28125, -8.140625, -8.71875, -8.8125, -7.9453125, -8.734375, -8.7734375, -5.37890625, -5.87890625, -6.4140625, -3.095703125, -5.453125, -3.330078125, -3.990234375, -7.0078125, -6.7578125, -7.4375, -5.77734375, -5.76171875, -7.0625, -7.0390625, -8.0625, -4.58203125, -1.6591796875, -7.59765625, -7.59765625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625, -9.0625 ]

[ 1.15234375, -7.6171875, -7.546875, -7.5625, -7.4375, -7.69140625, -7.65234375, -7.96484375, -7.94140625, -7.64453125, -7.546875, -7.52734375, -5.125, -5.125, -8.5859375, -8.4609375, -7.2421875, -7.546875, -8.703125, -8.3125, -8.078125, -8.4609375, -8.046875, -8.125, -8.1953125, -8.9453125, -8.9453125, -8.84375, -5.27734375, -3.888671875, -3.591796875, -1.2587890625, -1.931640625, -7.53125, -7.64453125, -7.04296875, -7.2421875, -3.5859375, -7.49609375, -8.40625, -8.1875, -8.75, -8.421875, -8.3125, -7.65234375, -6.921875, -7.14453125, -7.30078125, -7.171875, -4.6796875, -6.9765625, -6.828125, -5.73828125, -0.07275390625, -1.87890625, -6.85546875, -7.22265625, -7.83203125, -7.5859375, -7.61328125, -7.7265625, -7.42578125, -6.89453125, -7.73046875, -8.328125, -7.89453125, -7.58203125, -7.0234375, -7.4453125, -7.72265625, -7.59765625, -7.19921875, -7.4609375, -7.58203125, -7.5234375, -7.2265625, -3.908203125, -1.4912109375, -7.0390625, -7.5, -6.6171875, -7.59765625, -8.21875, -7.76953125, -7.6640625, -4.76953125, -5.92578125, -6.0703125, -5.3984375, -8.2265625, -8.171875, -5.625, -7.34375, -7.18359375, -5.19921875, -7.2109375, -7.00390625, -4.484375, -6.8515625, -6.30078125, -3.796875, -6.609375, -5.4296875, -2.736328125, -5.421875, -3.12109375, 2.2890625, -0.05059814453125, -6.83203125, -7.109375, -6.01171875, -7.48046875, -6.28125, -7.39453125, -6.5703125, -7.953125, -7.79296875, -7.4140625, -7.23828125, -6.71484375, -6.24609375, -6.0078125, -4.80078125, -2.701171875, -4.7109375, -8.3125, -8.1953125, -8.421875, -8.2890625, -7.96484375, -8.1328125, -8.4140625, -8.25, -7.8984375, -8.3671875, -8.0546875, -7.77734375, -6.85546875, -8.421875, -8.21875, -5.3203125, -7.265625, -4.29296875, -1.603515625, -2.47265625, -6.25, -7.8828125, -8.03125, -7.16015625, -7.0546875, -5.33203125, -7.19921875, -5.7421875, -1.017578125, -5.125, -5.12890625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625, -8.2265625 ]

Immediately after Decision Time a "Members Debate" is held, which lasts for 45 minutes. Members Business is a debate on a motion proposed by an MSP who is not a Scottish minister. Such motions are on issues which may be of interest to a particular area such as a member's own constituency, an upcoming or past event or any other item which would otherwise not be accorded official parliamentary time. As well as the proposer, other members normally contribute to the debate. The relevant minister, whose department the debate and motion relate to "winds up" the debate by speaking after all other participants.

What does the minister who was the catalyst of the Members Business do by speaking after everyone else?

[ "winds up", "winds up", "\"winds up\" the debate" ]

[ 548, 548, 547 ]

[ "572fc659b2c2fd140056844b", "572fc659b2c2fd140056844b", "572fc659b2c2fd140056844b" ]

[ "Scottish_Parliament", "Scottish_Parliament", "Scottish_Parliament" ]

[ -0.433349609375, -8.671875, -8.6015625, -8.4453125, -8.5078125, -8.859375, -8.609375, -8.3203125, -5.98046875, -8.265625, -8.734375, -8.546875, -7.9765625, -8.703125, -8.9140625, -8.9609375, -9.21875, -9.15625, -9.375, -8.84375, -9.109375, -9.09375, -9.25, -9.046875, -8.921875, -8.1796875, -8.8671875, -9.25, -8.9296875, -8.9765625, -9.015625, -9.625, -9.2265625, -9.109375, -9.3125, -9.109375, -9.1796875, -9.203125, -9.2734375, -8.890625, -9.4375, -8.9375, -8.9453125, -8.8515625, -8.5078125, -8.25, -8.4140625, -8.25, -8.109375, -8.3046875, -8.3203125, -7.984375, -8.2890625, -8.640625, -8.4375, -8.140625, -7.640625, -7.28125, -7.77734375, -6.0703125, -9.03125, -8.8515625, -7.80859375, -8.15625, -7.89453125, -7.83203125, -8.65625, -8.6015625, -8.5546875, -8.5625, -8.25, -8.25, -7.875, -8.046875, -7.5625, -8.484375, -8.2265625, -7.84765625, -8.2578125, -8.625, -8.71875, -8.625, -8.40625, -8.125, -8.203125, -8.59375, -8.3046875, -8.25, -8.4609375, -8.40625, -8.8203125, -8.40625, -8.90625, -8.3984375, -8.6484375, -8.4921875, -8.3203125, -8.140625, -8.3046875, -8.03125, -7.32421875, -3.939453125, -6.27734375, -4.8046875, -7.8984375, -7.578125, -7.17578125, -6.2421875, -7.1328125, -6.7265625, -5.81640625, -6.39453125, -6.58984375, -4.5703125, -6.89453125, -6.34765625, -0.98828125, 0.1588134765625, 3.2421875, -1.4482421875, -2.5625, -5.92578125, -4.06640625, -3.373046875, -7.9453125, -7.8046875, -8.28125, -7.23046875, -6.3359375, -3.025390625, 3.41015625, 1.0966796875, -7.30859375, -6.74609375, -5.69921875, -6.39453125, -2.6484375, -4.36328125, -5.41796875, -7.40625, -7.69921875, -7.84765625, -3.302734375, -6.27734375, -8.984375, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625, -8.7265625 ]

[ -0.2449951171875, -7.88671875, -8.1171875, -8.2578125, -8.0390625, -8.1015625, -8.4140625, -8.484375, -7.90625, -8.28125, -8.3359375, -8.3046875, -7.28515625, -7.890625, -7.953125, -8.078125, -7.69140625, -7.77734375, -7.3203125, -7.86328125, -8.1953125, -8.25, -7.92578125, -8.015625, -8.171875, -8.234375, -7.90625, -7.73828125, -8.125, -8.09375, -7.75, -7.234375, -7.87890625, -7.88671875, -7.875, -8.1015625, -7.98828125, -7.93359375, -7.73828125, -7.421875, -7.66015625, -8, -7.96875, -8.2578125, -8.5625, -8.484375, -8.6171875, -8.84375, -8.7734375, -8.6328125, -8.796875, -8.9609375, -8.7109375, -8.453125, -8.6875, -8.78125, -8.59375, -8.828125, -7.84375, -6.2890625, -7.98828125, -8.359375, -8.640625, -8.9609375, -9.0234375, -8.9140625, -8.59375, -8.609375, -8.65625, -8.59375, -8.6875, -8.7890625, -8.9375, -8.71875, -8.3984375, -8.7421875, -8.9453125, -9.046875, -8.6796875, -8.5, -8.3671875, -8.265625, -8.75, -8.9609375, -8.859375, -8.5625, -8.7109375, -8.609375, -8.6640625, -8.6796875, -8.3125, -8.4765625, -8.3203125, -8.65625, -8.4140625, -8.5390625, -8.7265625, -8.6875, -8.7109375, -8.5703125, -7.92578125, -6.921875, -1.4970703125, -8.390625, -8.21875, -8.3515625, -9, -8.75, -8.6484375, -8.2734375, -8.1328125, -7.78515625, -8.125, -7.52734375, -7.8359375, -8.046875, -3.63671875, -3.341796875, -3.767578125, -3.986328125, -2.078125, -3.470703125, -7.04296875, -3.95703125, -7.37109375, -7.97265625, -6.84765625, -7.8984375, -6.62109375, -5.1015625, -5.00390625, -4.89453125, -5.58203125, -3.275390625, -2.107421875, -3.146484375, 5.05078125, -2.75390625, -5.61328125, -6.62109375, -7.30078125, -6.890625, -2.734375, -1.4970703125, -7.8359375, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125, -8.6328125 ]

Steam engines are external combustion engines, where the working fluid is separate from the combustion products. Non-combustion heat sources such as solar power, nuclear power or geothermal energy may be used. The ideal thermodynamic cycle used to analyze this process is called the Rankine cycle. In the cycle, water is heated and transforms into steam within a boiler operating at a high pressure. When expanded through pistons or turbines, mechanical work is done. The reduced-pressure steam is then condensed and pumped back into the boiler.

What ideal thermodynamic cycle analyzes the process by which solar engines work?

[ "" ]

[ -1 ]

[ "5ad3bd8f604f3c001a3fef2e" ]

[ "Steam_engine" ]

[ -0.356201171875, -9.1875, -9.2578125, -9.0234375, -9.359375, -9.1796875, -9.4765625, -9.53125, -9.25, -9.0625, -9.203125, -9.1875, -9.171875, -9.578125, -9.4453125, -9.4765625, -5.734375, -8.765625, -6.09375, -6.80078125, -6.6015625, -6.38671875, -7.60546875, -7.21484375, -6.7734375, -3.89453125, -4.1875, -6.96875, -6.66796875, -7.7265625, -7.41015625, -7.73046875, -7.71875, -7.38671875, -4.3046875, -4.0859375, -5.37109375, -7.36328125, -7.859375, -8.265625, -7.65234375, -7.24609375, -6.703125, -7.72265625, -7.4609375, -6.72265625, -8.03125, -8.1953125, -7.95703125, -8.6328125, -8.8828125, -8.359375, -8.3359375, -7.75, -8.46875, -8.4921875, -4.5390625, -1.3154296875, -1.556640625, -4.10546875, -6.37890625, -7.640625, -2.685546875, -6.08984375, -7.578125, -4.5859375, -6.9140625, -0.615234375, -0.083740234375, 1.0048828125, 5.04296875, 8.2109375, -5.421875, -1.8388671875, -3.62109375, -1.45703125, -1.47265625, -0.07916259765625, -1.650390625, 1.041015625, -6.58984375, -7.8203125, -8.3046875, -8.0703125, -8.8125, -7.6171875, -8.4296875, -7.75, -5.26953125, -7.71875, -7.25, -6.578125, -4.7109375, -3.96484375, -4.74609375, -6.35546875, -7.796875, -8.3828125, -8.203125, -8.4921875, -8.6796875, -7.4609375, -7.21875, -5.1328125, -7.4921875, -8.546875, -6.5, -4.98046875, -6.6640625, -7.4609375, -8.5859375, -8.2265625, -7.50390625, -8.5390625, -8.5703125, -8.4609375, -9.046875, -8.765625, -8.9765625, -8.8671875, -8.3125, -4.68359375, -5.734375, -9.59375, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625, -9.015625 ]

[ 0.283447265625, -7.2578125, -7.24609375, -7.30859375, -6.87109375, -6.92578125, -7.29296875, -7.28125, -7.65234375, -7.6171875, -7.40625, -7.7578125, -7.5390625, -7.03125, -7.17578125, -6.8984375, -1.451171875, -8.3125, -8.1171875, -8.5859375, -8.7734375, -8.1171875, -7.93359375, -7.5625, -8.484375, -8.1953125, -8.6484375, -8.4375, -8.03125, -8.578125, -8.140625, -8.359375, -8.5390625, -7.98828125, -5.875, -6.73046875, -8.1171875, -8.6015625, -8.3671875, -8.1015625, -8.3515625, -7.90625, -7.53515625, -7.97265625, -8.4296875, -7.98046875, -7.6171875, -7.91796875, -7.6328125, -7.01171875, -7.41015625, -6.96484375, -5.390625, -5.22265625, -7.1171875, -7.5703125, -6.05078125, -2.791015625, -5.64453125, -6.3203125, -8.078125, -6.53125, -4.82421875, -7.23046875, -8, -7.0078125, -8.1875, -5.62890625, -5.3203125, -3.716796875, -3.435546875, -1.384765625, 2.767578125, 8.59375, 4.48828125, -3.83203125, -7.14453125, -4.51953125, -4.0625, -5.86328125, -7.35546875, -6.078125, -6.73828125, -5.90625, -6.00390625, -4.48828125, -6.0234375, -7.16015625, -5.89453125, -6.2109375, -6.32421875, -6.95703125, -4.296875, 2.515625, 4.21875, -6.39453125, -6.41015625, -7.015625, -7.43359375, -6.91015625, -7.171875, -5.21875, -4.3984375, -4.67578125, -3.984375, -5.66796875, -1.626953125, 1.3583984375, -7.90234375, -7.61328125, -7.8515625, -7.32421875, -6.93359375, -7.15234375, -6.23046875, -6.31640625, -7.23828125, -6.4296875, -7.0078125, -7.13671875, -7.54296875, -3.318359375, -1.451171875, -6.42578125, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875, -8.1875 ]

Datasets:

autoevaluate
/

autoeval-staging-eval-squad_v2-squad_v2-76c05b-14906070

Dataset Card for AutoTrain Evaluator

Contributions