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+{"segments": [{"id": 1, "seek": 4990, "start": 20.74, "end": 49.9, "text": "بسم الله الرحمن الرحيم محاضرة رقم 34 في مساق نظرية الاعداد لطلاب الجامعة الإسلامية قسم رياضيات كولياتية العلوم والتربية اليوم هنتحدث عن اخر موضوع بدنا نتحدث عنه في المساق اللي هو هنحكي عن ال primitive roots for primes هنتحدث عن اللي هو", "tokens": [3555, 38251, 21984, 34892, 5016, 27842, 34892, 5016, 32640, 3714, 5016, 46958, 25720, 12602, 4587, 2304, 12790, 8978, 47524, 995, 4587, 8717, 19913, 2288, 10632, 42963, 22488, 18513, 5296, 9566, 15040, 3555, 25724, 10943, 27884, 33688, 3794, 37440, 10632, 12174, 38251, 12602, 1829, 46958, 1829, 9307, 9122, 12610, 1829, 9307, 10632, 18863, 1211, 20498, 16070, 2655, 25513, 10632, 45595, 20498, 8032, 29399, 24401, 12984, 18871, 1975, 34740, 3714, 2407, 11242, 45367, 47525, 8315, 8717, 2655, 24401, 12984, 18871, 3224, 8978, 9673, 3794, 995, 4587, 13672, 1829, 31439, 8032, 1863, 5016, 4117, 1829, 18871, 2423, 28540, 10669, 337, 2886, 279, 8032, 29399, 24401, 12984, 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إذا", "probability": 0.7314453125}, {"start": 1005.74, "end": 1006.46, "word": " بقدر", "probability": 0.9597981770833334}, {"start": 1006.46, "end": 1007.0, "word": " أختصر", "probability": 0.8310546875}, {"start": 1007.0, "end": 1007.42, "word": " هذه", "probability": 0.83740234375}, {"start": 1007.42, "end": 1008.16, "word": " إذا", "probability": 0.81396484375}, {"start": 1008.16, "end": 1008.54, "word": " بيصير", "probability": 0.867431640625}, {"start": 1008.54, "end": 1008.92, "word": " عندي", "probability": 0.760009765625}, {"start": 1008.92, "end": 1009.26, "word": " then", "probability": 0.450927734375}, {"start": 1009.26, "end": 1010.46, "word": " اللي", "probability": 0.84423828125}, {"start": 1010.46, "end": 1010.74, "word": " هو", "probability": 0.91748046875}, {"start": 1010.74, "end": 1011.5, "word": " لـQ", "probability": 0.3798014322916667}, {"start": 1011.5, "end": 1011.78, "word": " of", "probability": 0.5478515625}, {"start": 1011.78, "end": 1012.2, "word": " B", 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الكورولاري بتقول الخمسة بناء أن الخمسة بتكسب من الواحد و تلاتين مع صواعد هو التلاتين then it has five incongruent solutions five incongruent solutions بس هي المعلومة اللي عندنا اللي بدنا نحكي فيها اللي بعده", "tokens": [6027, 148, 48506, 29538, 8978, 11296, 5551, 24793, 3827, 44945, 28543, 2288, 8717, 3615, 28480, 44945, 16606, 15844, 29538, 33251, 13063, 12610, 9640, 1829, 11933, 1829, 8592, 33251, 13063, 12610, 9640, 1829, 39894, 39648, 33962, 2304, 3794, 3660, 44945, 16606, 14739, 33962, 2304, 3794, 3660, 39894, 4117, 35457, 9154, 2423, 14407, 24401, 4032, 6055, 1211, 9307, 9957, 20449, 20328, 14407, 22488, 31439, 16712, 1211, 9307, 9957, 550, 309, 575, 1732, 834, 556, 894, 317, 6547, 1732, 834, 556, 894, 317, 6547, 4724, 3794, 39896, 9673, 30241, 20498, 3660, 13672, 1829, 43242, 8315, 13672, 1829, 47525, 8315, 8717, 5016, 4117, 1829, 8978, 11296, 13672, 1829, 39182, 3224], "avg_logprob": -0.26898365878613195, "compression_ratio": 1.882608695652174, "no_speech_prob": 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1395.13, "end": 1396.07, "word": " 5", "probability": 0.47265625}, {"start": 1396.07, "end": 1396.43, "word": " of", "probability": 0.75}, {"start": 1396.43, "end": 1396.69, "word": " D", "probability": 0.483642578125}, {"start": 1396.69, "end": 1397.73, "word": " incongruent", "probability": 0.953369140625}, {"start": 1397.73, "end": 1398.27, "word": " integers", "probability": 0.95556640625}, {"start": 1398.27, "end": 1398.75, "word": " have", "probability": 0.81689453125}, {"start": 1398.75, "end": 1399.37, "word": " ordered", "probability": 0.52880859375}, {"start": 1399.37, "end": 1400.09, "word": " D", "probability": 0.92041015625}, {"start": 1400.09, "end": 1401.19, "word": " modulo", "probability": 0.968505859375}, {"start": 1401.19, "end": 1401.85, "word": " B", "probability": 0.9345703125}], "temperature": 1.0}, {"id": 54, "seek": 143736, "start": 1411.12, "end": 1437.36, "text": "النظرية تقول معيالي theorem if B is prime وD تقسم ال B-1 وD تقسم ال B-1 معيا وD تقسم ال B-1 then they are", "tokens": [6027, 1863, 19913, 2288, 10632, 6055, 39648, 20449, 1829, 6027, 1829, 20904, 498, 363, 307, 5835, 4032, 35, 6055, 4587, 38251, 2423, 363, 12, 16, 4032, 35, 6055, 4587, 38251, 2423, 363, 12, 16, 20449, 25528, 4032, 35, 6055, 4587, 38251, 2423, 363, 12, 16, 550, 436, 366], "avg_logprob": -0.5054208989046058, "compression_ratio": 1.5, "no_speech_prob": 4.172325134277344e-07, "words": [{"start": 1411.12, "end": 1412.28, "word": "النظرية", "probability": 0.7438720703125}, {"start": 1412.28, "end": 1413.44, "word": " تقول", "probability": 0.425323486328125}, {"start": 1413.44, "end": 1413.9, "word": " معيالي", "probability": 0.608154296875}, {"start": 1413.9, "end": 1414.26, "word": " theorem", "probability": 0.186767578125}, {"start": 1414.26, "end": 1417.14, "word": " if", "probability": 0.71240234375}, {"start": 1417.14, "end": 1418.64, "word": " B", "probability": 0.36083984375}, {"start": 1418.64, "end": 1419.42, "word": " is", "probability": 0.88427734375}, {"start": 1419.42, "end": 1420.0, "word": " prime", "probability": 0.61474609375}, {"start": 1420.0, "end": 1422.58, "word": " وD", "probability": 0.510986328125}, {"start": 1422.58, "end": 1423.08, "word": " تقسم", "probability": 0.5237630208333334}, {"start": 1423.08, "end": 1423.26, "word": " ال", "probability": 0.51904296875}, {"start": 1423.26, "end": 1423.38, "word": " B", "probability": 0.58056640625}, {"start": 1423.38, "end": 1424.34, "word": "-1", "probability": 0.3662109375}, {"start": 1424.34, "end": 1425.7, "word": " وD", "probability": 0.43084716796875}, {"start": 1425.7, "end": 1426.14, "word": " تقسم", "probability": 0.98046875}, {"start": 1426.14, "end": 1426.28, "word": " ال", "probability": 0.77099609375}, {"start": 1426.28, "end": 1426.42, "word": " B", "probability": 0.9833984375}, {"start": 1426.42, "end": 1430.1, "word": "-1", "probability": 0.92041015625}, {"start": 1430.1, "end": 1431.4, "word": " معيا", "probability": 0.4556884765625}, {"start": 1431.4, "end": 1431.74, "word": " وD", "probability": 0.74951171875}, {"start": 1431.74, "end": 1432.12, "word": " تقسم", "probability": 0.9905598958333334}, {"start": 1432.12, "end": 1432.28, "word": " ال", "probability": 0.947265625}, {"start": 1432.28, "end": 1432.4, "word": " B", "probability": 0.99169921875}, {"start": 1432.4, "end": 1433.28, "word": "-1", "probability": 0.964111328125}, {"start": 1433.28, "end": 1434.1, "word": " then", "probability": 0.708984375}, {"start": 1434.1, "end": 1436.96, "word": " they", "probability": 0.395263671875}, {"start": 1436.96, "end": 1437.36, "word": " are", "probability": 0.87255859375}], "temperature": 1.0}, {"id": 55, "seek": 146118, "start": 1438.46, "end": 1461.18, "text": "أو تقريبًا فاي اف دي فاي اف دي غير متجر غير متجر غير متجر غير متجر غير متجر غير متجر غير متجر غير متجر غير متجر غير متجر غير متجر غير متجر", "tokens": [10721, 2407, 6055, 4587, 16572, 3555, 14111, 995, 6156, 47302, 1975, 5172, 11778, 1829, 6156, 47302, 1975, 5172, 11778, 1829, 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0.54742431640625}, {"start": 1445.98, "end": 1446.18, "word": " اف", "probability": 0.939697265625}, {"start": 1446.18, "end": 1447.12, "word": " دي", "probability": 0.98583984375}, {"start": 1447.12, "end": 1447.84, "word": " غير", "probability": 0.4750823974609375}, {"start": 1447.84, "end": 1448.06, "word": " متجر", "probability": 0.3975830078125}, {"start": 1448.06, "end": 1450.36, "word": " غير", "probability": 0.6107177734375}, {"start": 1450.36, "end": 1451.3, "word": " متجر", "probability": 0.99462890625}, {"start": 1451.3, "end": 1453.12, "word": " غير", "probability": 0.6102294921875}, {"start": 1453.12, "end": 1453.26, "word": " متجر", "probability": 0.9856770833333334}, {"start": 1453.26, "end": 1453.26, "word": " غير", "probability": 0.578857421875}, {"start": 1453.26, "end": 1454.0, "word": " متجر", "probability": 0.9886067708333334}, {"start": 1454.0, "end": 1454.12, "word": " غير", "probability": 0.6361083984375}, {"start": 1454.12, "end": 1454.12, "word": " متجر", "probability": 0.99169921875}, {"start": 1454.12, "end": 1454.44, "word": " غير", "probability": 0.74169921875}, {"start": 1454.44, "end": 1454.44, "word": " متجر", "probability": 0.9923502604166666}, {"start": 1454.44, "end": 1455.68, "word": " غير", "probability": 0.825927734375}, {"start": 1455.68, "end": 1455.68, "word": " متجر", "probability": 0.99267578125}, {"start": 1455.68, "end": 1455.78, "word": " غير", "probability": 0.87060546875}, {"start": 1455.78, "end": 1455.78, "word": " متجر", "probability": 0.9928385416666666}, {"start": 1455.78, "end": 1455.78, "word": " غير", "probability": 0.889404296875}, {"start": 1455.78, "end": 1455.78, "word": " متجر", "probability": 0.9928385416666666}, {"start": 1455.78, "end": 1455.78, "word": " غير", "probability": 0.895263671875}, {"start": 1455.78, "end": 1455.78, "word": " متجر", "probability": 0.9928385416666666}, {"start": 1455.78, "end": 1455.82, "word": " غير", "probability": 0.89501953125}, {"start": 1455.82, "end": 1455.82, "word": " متجر", "probability": 0.9923502604166666}, {"start": 1455.82, "end": 1455.82, "word": " غير", "probability": 0.89111328125}, {"start": 1455.82, "end": 1461.18, "word": " متجر", "probability": 0.9921875}], "temperature": 1.0}, {"id": 56, "seek": 149764, "start": 1468.48, "end": 1497.64, "text": "بتقول لو كانت عندي بي برايم و D بتكسيب ال بي و ماينس واحد بقول في عندي بالظبط five of D من ال incongruent integers having order A شماله D modulo B الأن example find the number", "tokens": [3555, 2655, 39648, 45164, 25961, 2655, 18871, 16254, 4724, 1829, 4724, 23557, 32640, 4032, 413, 39894, 4117, 3794, 1829, 3555, 2423, 4724, 1829, 4032, 19446, 9957, 3794, 36764, 24401, 4724, 39648, 8978, 18871, 16254, 20666, 19913, 3555, 9566, 1732, 295, 413, 9154, 2423, 834, 556, 894, 317, 41674, 1419, 1668, 316, 13412, 2304, 6027, 3224, 413, 1072, 13455, 363, 16247, 1863, 1365, 915, 264, 1230], "avg_logprob": -0.3612689380392884, "compression_ratio": 1.3571428571428572, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 1468.48, "end": 1468.94, "word": "بتقول", "probability": 0.7753092447916666}, {"start": 1468.94, "end": 1469.14, "word": " لو", "probability": 0.86767578125}, {"start": 1469.14, "end": 1469.52, "word": " كانت", "probability": 0.899658203125}, {"start": 1469.52, "end": 1469.78, "word": " عندي", "probability": 0.7447509765625}, {"start": 1469.78, "end": 1469.96, "word": " بي", "probability": 0.43194580078125}, {"start": 1469.96, "end": 1470.36, "word": " برايم", "probability": 0.7347005208333334}, {"start": 1470.36, "end": 1470.52, "word": " و", "probability": 0.82080078125}, {"start": 1470.52, "end": 1470.62, "word": " D", "probability": 0.387451171875}, {"start": 1470.62, "end": 1471.02, "word": " بتكسيب", "probability": 0.515283203125}, {"start": 1471.02, "end": 1471.12, "word": " ال", "probability": 0.75537109375}, {"start": 1471.12, "end": 1471.24, "word": " بي", "probability": 0.514556884765625}, {"start": 1471.24, "end": 1471.28, "word": " و", "probability": 0.401123046875}, {"start": 1471.28, "end": 1471.54, "word": " ماينس", "probability": 0.6725260416666666}, {"start": 1471.54, "end": 1472.06, "word": " واحد", "probability": 0.965576171875}, {"start": 1472.06, "end": 1472.92, "word": " بقول", "probability": 0.81787109375}, {"start": 1472.92, "end": 1473.12, "word": " في", "probability": 0.59033203125}, {"start": 1473.12, "end": 1473.54, "word": " عندي", "probability": 0.8857421875}, {"start": 1473.54, "end": 1474.3, "word": " بالظبط", "probability": 0.9852294921875}, {"start": 1474.3, "end": 1474.88, "word": " five", "probability": 0.2177734375}, {"start": 1474.88, "end": 1475.2, "word": " of", "probability": 0.9365234375}, {"start": 1475.2, "end": 1475.48, "word": " D", "probability": 0.875}, {"start": 1475.48, "end": 1476.98, "word": " من", "probability": 0.9755859375}, {"start": 1476.98, "end": 1477.24, "word": " ال", "probability": 0.9169921875}, {"start": 1477.24, "end": 1477.96, "word": " incongruent", "probability": 0.8309326171875}, {"start": 1477.96, "end": 1478.6, "word": " integers", "probability": 0.93017578125}, {"start": 1478.6, "end": 1479.02, "word": " having", "probability": 0.82275390625}, {"start": 1479.02, "end": 1479.58, "word": " order", "probability": 0.94677734375}, {"start": 1479.58, "end": 1479.84, "word": " A", "probability": 0.357177734375}, {"start": 1479.84, "end": 1480.42, "word": " شماله", "probability": 0.8756103515625}, {"start": 1480.42, "end": 1481.4, "word": " D", "probability": 0.5126953125}, {"start": 1481.4, "end": 1482.36, "word": " modulo", "probability": 0.86181640625}, {"start": 1482.36, "end": 1482.96, "word": " B", "probability": 0.38232421875}, {"start": 1482.96, "end": 1486.06, "word": " الأن", "probability": 0.61572265625}, {"start": 1486.06, "end": 1487.84, "word": " example", "probability": 0.6513671875}, {"start": 1487.84, "end": 1493.48, "word": " find", "probability": 0.71337890625}, {"start": 1493.48, "end": 1497.16, "word": " the", "probability": 0.87451171875}, {"start": 1497.16, "end": 1497.64, "word": " number", "probability": 0.96923828125}], "temperature": 1.0}, {"id": 57, "seek": 152779, "start": 1502.47, "end": 1527.79, "text": "of incongruent integers having واحد اللي هو order two modulo اللي هو مثلا سبعة اتنين order", "tokens": [2670, 834, 556, 894, 317, 41674, 1419, 36764, 24401, 13672, 1829, 31439, 1668, 732, 1072, 13455, 13672, 1829, 31439, 50113, 15040, 8608, 3555, 27884, 1975, 2655, 1863, 9957, 1668], "avg_logprob": -0.14114583432674407, "compression_ratio": 1.1226415094339623, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 1502.4699999999998, "end": 1503.87, "word": "of", "probability": 0.708984375}, {"start": 1503.87, "end": 1505.27, "word": " incongruent", "probability": 0.91748046875}, {"start": 1505.27, "end": 1509.13, "word": " integers", "probability": 0.96044921875}, {"start": 1509.13, "end": 1511.55, "word": " having", "probability": 0.86865234375}, {"start": 1511.55, "end": 1514.15, "word": " واحد", "probability": 0.89892578125}, {"start": 1514.15, "end": 1515.51, "word": " اللي", "probability": 0.760498046875}, {"start": 1515.51, "end": 1515.89, "word": " هو", "probability": 0.99365234375}, {"start": 1515.89, "end": 1518.05, "word": " order", "probability": 0.962890625}, {"start": 1518.05, "end": 1520.65, "word": " two", "probability": 0.54296875}, {"start": 1520.65, "end": 1522.29, "word": " modulo", "probability": 0.859619140625}, {"start": 1522.29, "end": 1523.73, "word": " اللي", "probability": 0.82421875}, {"start": 1523.73, "end": 1523.95, "word": " هو", "probability": 0.89990234375}, {"start": 1523.95, "end": 1524.39, "word": " مثلا", "probability": 0.865966796875}, {"start": 1524.39, "end": 1524.97, "word": " سبعة", "probability": 0.9469401041666666}, {"start": 1524.97, "end": 1527.23, "word": " اتنين", "probability": 0.8858642578125}, {"start": 1527.23, "end": 1527.79, "word": " order", "probability": 0.94580078125}], "temperature": 1.0}, {"id": 58, "seek": 155405, "start": 1528.91, "end": 1554.05, "text": "three modulo سبعة ثلاثة order ستة modulo سبعة حسب اللي هي النظرية عندي اللي هو ال بيه متساوي سبعة", "tokens": [27583, 1072, 13455, 8608, 3555, 27884, 38637, 1211, 5718, 104, 3660, 1668, 8608, 2655, 3660, 1072, 13455, 8608, 3555, 27884, 11331, 35457, 13672, 1829, 39896, 28239, 19913, 2288, 10632, 18871, 16254, 13672, 1829, 31439, 2423, 4724, 1829, 3224, 44650, 3794, 995, 45865, 8608, 3555, 27884], "avg_logprob": -0.2644361296425695, "compression_ratio": 1.4259259259259258, "no_speech_prob": 7.748603820800781e-07, "words": [{"start": 1528.91, "end": 1529.65, "word": "three", "probability": 0.1787109375}, {"start": 1529.65, "end": 1532.05, "word": " modulo", "probability": 0.89599609375}, {"start": 1532.05, "end": 1533.67, "word": " سبعة", "probability": 0.7607421875}, {"start": 1533.67, "end": 1536.67, "word": " ثلاثة", "probability": 0.86640625}, {"start": 1536.67, "end": 1537.19, "word": " order", "probability": 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"probability": 0.3754475911458333}, {"start": 1552.25, "end": 1552.93, "word": " متساوي", "probability": 0.75250244140625}, {"start": 1552.93, "end": 1554.05, "word": " سبعة", "probability": 0.96533203125}], "temperature": 1.0}, {"id": 59, "seek": 157258, "start": 1555.48, "end": 1572.58, "text": "إذن أكيد اللي هو الـ 2 بيقسم الـ B-1 الـ 6 إذا الـ 2 بتقسم ال 6 طبعا انا اختارتهم اللي هو الـ 2 بتقسم ال 6 و 3 بتقسم ال 6 و 6 بتقسم ال 6 إذا الجواب اللي هو أشماله", "tokens": [28814, 8848, 1863, 5551, 4117, 25708, 13672, 1829, 31439, 2423, 39184, 568, 4724, 1829, 4587, 38251, 2423, 39184, 363, 12, 16, 2423, 39184, 1386, 11933, 15730, 2423, 39184, 568, 39894, 4587, 38251, 2423, 1386, 23032, 3555, 3615, 995, 1975, 8315, 1975, 46456, 9640, 2655, 16095, 13672, 1829, 31439, 2423, 39184, 568, 39894, 4587, 38251, 2423, 1386, 4032, 805, 39894, 4587, 38251, 2423, 1386, 4032, 1386, 39894, 4587, 38251, 2423, 1386, 11933, 15730, 25724, 14407, 3555, 13672, 1829, 31439, 5551, 8592, 2304, 6027, 3224], 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"probability": 0.7607421875}, {"start": 1637.21, "end": 1637.95, "word": " اللي", "probability": 0.897216796875}, {"start": 1637.95, "end": 1638.21, "word": " هو", "probability": 0.78125}, {"start": 1638.21, "end": 1638.35, "word": " في", "probability": 0.7958984375}, {"start": 1638.35, "end": 1638.77, "word": " عندي", "probability": 0.622314453125}, {"start": 1638.77, "end": 1639.43, "word": " five", "probability": 0.728515625}, {"start": 1639.43, "end": 1640.19, "word": " of", "probability": 0.95166015625}, {"start": 1640.19, "end": 1641.09, "word": " ستة", "probability": 0.9197591145833334}, {"start": 1641.09, "end": 1641.91, "word": " اللي", "probability": 0.98388671875}, {"start": 1641.91, "end": 1642.11, "word": " هو", "probability": 0.97802734375}, {"start": 1642.11, "end": 1642.41, "word": " برضه", "probability": 0.95068359375}, {"start": 1642.41, "end": 1643.21, "word": " جداش", "probability": 0.8933919270833334}, {"start": 1643.21, "end": 1644.07, "word": " اتنين", "probability": 0.9730224609375}], "temperature": 1.0}, {"id": 63, "seek": 166995, "start": 1645.09, "end": 1669.95, "text": "أتنين من الـ incongruent solutions يعني من الـ incongruent integers احد لايطابق اتنين modulo بي أو modulo سبعة فاهمين such that ال order للأحد modulo سبعة بسوء ال order للأتنين modulo سبعة بسوء قداش ستة", "tokens": [10721, 2655, 1863, 9957, 9154, 2423, 39184, 834, 556, 894, 317, 6547, 37495, 22653, 9154, 2423, 39184, 834, 556, 894, 317, 41674, 1975, 24401, 20193, 1829, 9566, 16758, 4587, 1975, 2655, 1863, 9957, 1072, 13455, 4724, 1829, 34051, 1072, 13455, 8608, 3555, 27884, 6156, 995, 16095, 9957, 1270, 300, 2423, 1668, 24976, 10721, 24401, 1072, 13455, 8608, 3555, 27884, 4724, 3794, 2407, 38207, 2423, 1668, 24976, 10721, 2655, 1863, 9957, 1072, 13455, 8608, 3555, 27884, 4724, 3794, 2407, 38207, 12174, 3215, 33599, 8608, 2655, 3660], "avg_logprob": -0.3015988302785297, "compression_ratio": 1.7305389221556886, "no_speech_prob": 1.3709068298339844e-06, "words": [{"start": 1645.09, "end": 1646.03, "word": "أتنين", "probability": 0.6503448486328125}, {"start": 1646.03, "end": 1646.57, "word": " من", "probability": 0.93310546875}, {"start": 1646.57, "end": 1646.79, "word": " الـ", "probability": 0.5919189453125}, {"start": 1646.79, "end": 1647.59, "word": " incongruent", "probability": 0.80242919921875}, {"start": 1647.59, "end": 1648.15, "word": " solutions", "probability": 0.92626953125}, {"start": 1648.15, "end": 1648.53, "word": " يعني", "probability": 0.751220703125}, {"start": 1648.53, "end": 1649.07, "word": " من", "probability": 0.243896484375}, {"start": 1649.07, "end": 1649.53, "word": " الـ", "probability": 0.65185546875}, {"start": 1649.53, "end": 1650.11, "word": " incongruent", "probability": 0.9027099609375}, {"start": 1650.11, "end": 1650.95, "word": " integers", "probability": 0.95361328125}, {"start": 1650.95, "end": 1653.09, "word": " احد", "probability": 0.4332275390625}, {"start": 1653.09, "end": 1654.59, "word": " لايطابق", "probability": 0.798046875}, {"start": 1654.59, "end": 1655.65, "word": " اتنين", "probability": 0.873779296875}, {"start": 1655.65, "end": 1656.69, "word": " modulo", "probability": 0.8466796875}, {"start": 1656.69, "end": 1658.09, "word": " بي", "probability": 0.700439453125}, {"start": 1658.09, "end": 1658.47, "word": " أو", "probability": 0.615234375}, {"start": 1658.47, "end": 1658.73, "word": " modulo", "probability": 0.897216796875}, {"start": 1658.73, "end": 1659.27, "word": " سبعة", "probability": 0.9132486979166666}, {"start": 1659.27, "end": 1659.97, "word": " فاهمين", "probability": 0.8934326171875}, {"start": 1659.97, "end": 1660.57, "word": " such", "probability": 0.434326171875}, {"start": 1660.57, "end": 1660.83, "word": " that", "probability": 0.89013671875}, {"start": 1660.83, "end": 1661.01, "word": " ال", "probability": 0.609375}, {"start": 1661.01, "end": 1661.51, "word": " order", "probability": 0.7578125}, {"start": 1661.51, "end": 1662.95, "word": " للأحد", "probability": 0.5783284505208334}, {"start": 1662.95, "end": 1663.45, "word": " modulo", "probability": 0.950439453125}, {"start": 1663.45, "end": 1664.05, "word": " سبعة", "probability": 0.9503580729166666}, {"start": 1664.05, "end": 1664.61, "word": " بسوء", "probability": 0.482025146484375}, {"start": 1664.61, "end": 1664.73, "word": " ال", "probability": 0.81103515625}, {"start": 1664.73, "end": 1665.23, "word": " order", "probability": 0.94140625}, {"start": 1665.23, "end": 1666.71, "word": " للأتنين", "probability": 0.8396484375}, {"start": 1666.71, "end": 1667.07, "word": " modulo", "probability": 0.966064453125}, {"start": 1667.07, "end": 1667.63, "word": " سبعة", "probability": 0.9778645833333334}, {"start": 1667.63, "end": 1668.29, "word": " بسوء", "probability": 0.921875}, {"start": 1668.29, "end": 1668.99, "word": " قداش", "probability": 0.74462890625}, {"start": 1668.99, "end": 1669.95, "word": " ستة", "probability": 0.9482421875}], "temperature": 1.0}, {"id": 64, "seek": 168765, "start": 1672.59, "end": 1687.65, "text": "طيب نيجي لا اللي هو مثال اللي بيعطينا إياه بقول find the number of incongruent integers having order خمسة مدن ومين مدن واحد تلاتين من نفس الطريقة الخمسة بتكسب تلاتين", "tokens": [9566, 1829, 3555, 8717, 1829, 7435, 1829, 20193, 13672, 1829, 31439, 50113, 6027, 13672, 1829, 4724, 40228, 9566, 1829, 8315, 11933, 25528, 3224, 4724, 39648, 915, 264, 1230, 295, 834, 556, 894, 317, 41674, 1419, 1668, 16490, 2304, 3794, 3660, 3714, 3215, 1863, 4032, 2304, 9957, 3714, 3215, 1863, 36764, 24401, 6055, 1211, 9307, 9957, 9154, 8717, 36178, 41950, 16572, 28671, 33962, 2304, 3794, 3660, 39894, 4117, 35457, 6055, 1211, 9307, 9957], "avg_logprob": -0.2795376777648926, "compression_ratio": 1.5058823529411764, "no_speech_prob": 2.562999725341797e-06, "words": [{"start": 1672.5900000000001, "end": 1673.41, "word": "طيب", "probability": 0.715087890625}, {"start": 1673.41, "end": 1674.23, "word": " نيجي", "probability": 0.72607421875}, {"start": 1674.23, "end": 1674.47, "word": " لا", "probability": 0.82861328125}, {"start": 1674.47, "end": 1674.83, "word": " اللي", "probability": 0.43670654296875}, {"start": 1674.83, "end": 1675.19, "word": " هو", "probability": 0.9814453125}, {"start": 1675.19, "end": 1676.13, "word": " مثال", "probability": 0.91552734375}, {"start": 1676.13, "end": 1676.45, "word": " اللي", "probability": 0.870849609375}, {"start": 1676.45, "end": 1677.11, "word": " بيعطينا", "probability": 0.761083984375}, {"start": 1677.11, "end": 1677.69, "word": " إياه", "probability": 0.7038167317708334}, {"start": 1677.69, "end": 1678.23, "word": " بقول", "probability": 0.68603515625}, {"start": 1678.23, "end": 1678.63, "word": " find", "probability": 0.319091796875}, {"start": 1678.63, "end": 1678.85, "word": " the", "probability": 0.7158203125}, {"start": 1678.85, "end": 1679.23, "word": " number", "probability": 0.94921875}, {"start": 1679.23, "end": 1679.47, "word": " of", "probability": 0.9658203125}, {"start": 1679.47, "end": 1680.27, "word": " incongruent", "probability": 0.84814453125}, {"start": 1680.27, "end": 1680.87, "word": " integers", "probability": 0.94091796875}, {"start": 1680.87, "end": 1681.69, "word": " having", "probability": 0.8642578125}, {"start": 1681.69, "end": 1682.21, "word": " order", "probability": 0.93994140625}, {"start": 1682.21, "end": 1683.41, "word": " خمسة", "probability": 0.841064453125}, {"start": 1683.41, "end": 1683.75, "word": " مدن", "probability": 0.6129557291666666}, {"start": 1683.75, "end": 1684.17, "word": " ومين", "probability": 0.7469075520833334}, {"start": 1684.17, "end": 1684.49, "word": " مدن", "probability": 0.8444010416666666}, {"start": 1684.49, "end": 1684.67, "word": " واحد", "probability": 0.871826171875}, {"start": 1684.67, "end": 1685.01, "word": " تلاتين", "probability": 0.76239013671875}, {"start": 1685.01, "end": 1685.17, "word": " من", "probability": 0.541015625}, {"start": 1685.17, "end": 1685.35, "word": " نفس", "probability": 0.9921875}, {"start": 1685.35, "end": 1685.79, "word": " الطريقة", "probability": 0.9869791666666666}, {"start": 1685.79, "end": 1686.33, "word": " الخمسة", "probability": 0.979248046875}, {"start": 1686.33, "end": 1686.67, "word": " بتكسب", "probability": 0.7483723958333334}, {"start": 1686.67, "end": 1687.65, "word": " تلاتين", "probability": 0.901611328125}], "temperature": 1.0}, {"id": 65, "seek": 171226, "start": 1688.58, "end": 1712.26, "text": "ذن في عند ال order اللي هو قداش عدد العناصر لل orderها خمسة مضلوا واحد و تلاتين اللي هو five خمسة مش بيساوي بيساوي أربعة يعني في أربع عدد ا واحد و اتنين و اتلت او اربعة بقيت ان ال order لكل واحد مضلوا واحد و تلاتين يساوي أربعة يساوي خمسة آسف كونوا لغاية", "tokens": [8848, 1863, 8978, 43242, 2423, 1668, 13672, 1829, 31439, 12174, 3215, 33599, 6225, 3215, 3215, 18863, 8315, 9381, 2288, 24976, 1668, 11296, 16490, 2304, 3794, 3660, 3714, 11242, 1211, 14407, 36764, 24401, 4032, 6055, 1211, 9307, 9957, 13672, 1829, 31439, 1732, 16490, 2304, 3794, 3660, 37893, 4724, 1829, 3794, 995, 45865, 4724, 1829, 3794, 995, 45865, 5551, 25513, 27884, 37495, 22653, 8978, 5551, 25513, 3615, 6225, 3215, 3215, 1975, 36764, 24401, 4032, 1975, 2655, 1863, 9957, 4032, 1975, 2655, 1211, 2655, 1975, 2407, 1975, 25513, 27884, 4724, 4587, 36081, 16472, 2423, 1668, 5296, 28820, 36764, 24401, 3714, 11242, 1211, 14407, 36764, 24401, 4032, 6055, 1211, 9307, 9957, 7251, 3794, 995, 45865, 5551, 25513, 27884, 7251, 3794, 995, 45865, 16490, 2304, 3794, 3660, 19753, 3794, 5172, 9122, 11536, 14407, 5296, 17082, 995, 10632], "avg_logprob": -0.23942669262563376, "compression_ratio": 2.2142857142857144, "no_speech_prob": 2.562999725341797e-06, "words": [{"start": 1688.58, "end": 1689.12, "word": "ذن", "probability": 0.475616455078125}, {"start": 1689.12, "end": 1689.32, "word": " في", "probability": 0.7578125}, {"start": 1689.32, "end": 1689.54, "word": " عند", "probability": 0.8876953125}, {"start": 1689.54, "end": 1689.7, "word": " ال", "probability": 0.90185546875}, {"start": 1689.7, "end": 1690.0, "word": " order", "probability": 0.732421875}, {"start": 1690.0, "end": 1690.2, "word": " اللي", "probability": 0.745849609375}, {"start": 1690.2, "end": 1690.36, "word": " هو", "probability": 0.986328125}, {"start": 1690.36, "end": 1690.96, "word": " قداش", "probability": 0.7701822916666666}, {"start": 1690.96, "end": 1691.76, "word": " عدد", "probability": 0.810546875}, {"start": 1691.76, "end": 1692.44, "word": " العناصر", "probability": 0.7642822265625}, {"start": 1692.44, "end": 1692.58, "word": " لل", "probability": 0.77685546875}, {"start": 1692.58, "end": 1693.08, "word": " orderها", "probability": 0.5703125}, {"start": 1693.08, "end": 1693.88, "word": " خمسة", "probability": 0.9556884765625}, {"start": 1693.88, "end": 1694.6, "word": " مضلوا", "probability": 0.57318115234375}, {"start": 1694.6, "end": 1694.8, "word": " واحد", "probability": 0.85595703125}, {"start": 1694.8, "end": 1694.88, "word": " و", "probability": 0.82421875}, {"start": 1694.88, "end": 1695.5, "word": " تلاتين", "probability": 0.899169921875}, {"start": 1695.5, "end": 1696.06, "word": " اللي", "probability": 0.891845703125}, {"start": 1696.06, "end": 1696.2, "word": " هو", "probability": 0.97802734375}, {"start": 1696.2, "end": 1696.46, "word": " five", "probability": 0.85205078125}, {"start": 1696.46, "end": 1696.84, "word": " خمسة", "probability": 0.907470703125}, {"start": 1696.84, "end": 1696.94, "word": " مش", "probability": 0.494873046875}, {"start": 1696.94, "end": 1697.5, "word": " بيساوي", "probability": 0.90947265625}, {"start": 1697.5, "end": 1698.18, "word": " بيساوي", "probability": 0.9216796875}, {"start": 1698.18, "end": 1698.46, "word": " أربعة", "probability": 0.755859375}, {"start": 1698.46, "end": 1698.68, "word": " يعني", "probability": 0.92138671875}, {"start": 1698.68, "end": 1698.84, "word": " في", "probability": 0.84814453125}, {"start": 1698.84, "end": 1699.26, "word": " أربع", "probability": 0.8317057291666666}, {"start": 1699.26, "end": 1699.74, "word": " عدد", "probability": 0.8424479166666666}, {"start": 1699.74, "end": 1699.84, "word": " ا", "probability": 0.3974609375}, {"start": 1699.84, "end": 1700.24, "word": " واحد", "probability": 0.880615234375}, {"start": 1700.24, "end": 1700.34, "word": " و", "probability": 0.85302734375}, {"start": 1700.34, "end": 1700.74, "word": " اتنين", "probability": 0.8963623046875}, {"start": 1700.74, "end": 1700.84, "word": " و", "probability": 0.890625}, {"start": 1700.84, "end": 1701.22, "word": " اتلت", "probability": 0.8814697265625}, {"start": 1701.22, "end": 1701.36, "word": " او", "probability": 0.70654296875}, {"start": 1701.36, "end": 1701.96, "word": " اربعة", "probability": 0.88818359375}, {"start": 1701.96, "end": 1702.78, "word": " بقيت", "probability": 0.6455078125}, {"start": 1702.78, "end": 1702.9, "word": " ان", "probability": 0.77978515625}, {"start": 1702.9, "end": 1703.04, "word": " ال", "probability": 0.98486328125}, {"start": 1703.04, "end": 1703.34, "word": " order", "probability": 0.97900390625}, {"start": 1703.34, "end": 1703.82, "word": " لكل", "probability": 0.973876953125}, {"start": 1703.82, "end": 1704.46, "word": " واحد", "probability": 0.995849609375}, {"start": 1704.46, "end": 1705.24, "word": " مضلوا", "probability": 0.9512939453125}, {"start": 1705.24, "end": 1706.02, "word": " واحد", "probability": 0.976318359375}, {"start": 1706.02, "end": 1706.14, "word": " و", "probability": 0.95947265625}, {"start": 1706.14, "end": 1706.72, "word": " تلاتين", "probability": 0.964111328125}, {"start": 1706.72, "end": 1707.26, "word": " يساوي", "probability": 0.971435546875}, {"start": 1707.26, "end": 1707.78, "word": " أربعة", "probability": 0.8772786458333334}, {"start": 1707.78, "end": 1709.12, "word": " يساوي", "probability": 0.914306640625}, {"start": 1709.12, "end": 1709.48, "word": " خمسة", "probability": 0.988525390625}, {"start": 1709.48, "end": 1709.8, "word": " آسف", "probability": 0.7165934244791666}, {"start": 1709.8, "end": 1711.96, "word": " كونوا", "probability": 0.5489095052083334}, {"start": 1711.96, "end": 1712.26, "word": " لغاية", "probability": 0.6223907470703125}], "temperature": 1.0}, {"id": 66, "seek": 174134, "start": 1713.44, "end": 1741.34, "text": "الآن بناءً على اللي هو النظرية اللي هي اللي عندي اللي فوق هذه الـ Corollary بتعددلي بالظبط لـ Primitive Roots اما هو الـ Primitive Roots هو عبارة عن عدد order بسوء 5 of B الـ B-1 الـ R بيكون Primitive Roots", "tokens": [6027, 148, 48506, 44945, 16606, 14111, 15844, 13672, 1829, 31439, 28239, 19913, 2288, 10632, 13672, 1829, 39896, 13672, 1829, 18871, 16254, 13672, 1829, 6156, 30543, 29538, 2423, 39184, 3925, 1833, 822, 39894, 22488, 3215, 20292, 20666, 19913, 3555, 9566, 5296, 39184, 19671, 2187, 3101, 1971, 1975, 15042, 31439, 2423, 39184, 19671, 2187, 3101, 1971, 31439, 6225, 3555, 9640, 3660, 18871, 6225, 3215, 3215, 1668, 4724, 3794, 2407, 38207, 1025, 295, 363, 2423, 39184, 363, 12, 16, 2423, 39184, 497, 4724, 1829, 30544, 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0.92275390625}, {"start": 2263.6, "end": 2264.56, "word": " الشغل", "probability": 0.8289388020833334}, {"start": 2264.56, "end": 2264.8, "word": " الأول", "probability": 0.96875}, {"start": 2264.8, "end": 2265.02, "word": " زي", "probability": 0.8330078125}, {"start": 2265.02, "end": 2265.1, "word": " ما", "probability": 0.9873046875}, {"start": 2265.1, "end": 2265.56, "word": " قلنا", "probability": 0.9900716145833334}, {"start": 2265.56, "end": 2266.26, "word": " أن", "probability": 0.6591796875}, {"start": 2266.26, "end": 2266.7, "word": " R", "probability": 0.52294921875}, {"start": 2266.7, "end": 2266.94, "word": " to", "probability": 0.81494140625}, {"start": 2266.94, "end": 2267.1, "word": " the", "probability": 0.87841796875}, {"start": 2267.1, "end": 2267.3, "word": " B", "probability": 0.966796875}, {"start": 2267.3, "end": 2268.14, "word": "-1", "probability": 0.814453125}, {"start": 2268.14, "end": 2268.8, "word": " تطابق", "probability": 0.9527587890625}, {"start": 2268.8, "end": 2269.8, "word": " الواحد", "probability": 0.7828776041666666}, {"start": 2269.8, "end": 2270.24, "word": " modulo", "probability": 0.957275390625}, {"start": 2270.24, "end": 2270.56, "word": " B", "probability": 0.9892578125}], "temperature": 1.0}, {"id": 86, "seek": 229896, "start": 2272.05, "end": 2298.97, "text": "والشغل الثاني أن R أُس T لا يطابق الواحد modulo B لكل T أكبر من ال .. أكبر يساوي واحد و أصغر منين من ال B minus واحد واضح؟ وش هي أصغر R أُس Phi of B", "tokens": [2407, 6027, 8592, 17082, 1211, 6024, 104, 7649, 1829, 14739, 497, 5551, 10859, 3794, 314, 20193, 7251, 9566, 16758, 4587, 2423, 14407, 24401, 1072, 13455, 363, 5296, 28820, 314, 5551, 4117, 26890, 9154, 2423, 4386, 5551, 4117, 26890, 7251, 3794, 995, 45865, 36764, 24401, 4032, 5551, 9381, 17082, 2288, 9154, 9957, 9154, 2423, 363, 3175, 36764, 24401, 4032, 46958, 5016, 22807, 4032, 8592, 39896, 5551, 9381, 17082, 2288, 497, 5551, 10859, 3794, 41435, 295, 363], "avg_logprob": -0.2259457287819762, 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2298.55, "word": " of", "probability": 0.92822265625}, {"start": 2298.55, "end": 2298.97, "word": " B", "probability": 0.96435546875}], "temperature": 1.0}, {"id": 87, "seek": 232923, "start": 2300.33, "end": 2329.23, "text": "أصغر اللي هو أُس بتخلّي R أُس اللي هي اللي عندي K يطابق الواحد مضروبيه مافيش ولا K قبلها خلّيني بتذكر اللي واحد بتستخدمه لأن since R is a primitive root of B then", "tokens": [10721, 9381, 17082, 2288, 13672, 1829, 31439, 5551, 10859, 3794, 39894, 9778, 1211, 11703, 1829, 497, 5551, 10859, 3794, 13672, 1829, 39896, 13672, 1829, 18871, 16254, 591, 7251, 9566, 16758, 4587, 2423, 14407, 24401, 3714, 11242, 32887, 21292, 3224, 19446, 41185, 8592, 49429, 591, 12174, 36150, 11296, 16490, 1211, 11703, 9957, 1829, 39894, 8848, 37983, 13672, 1829, 36764, 24401, 39894, 14851, 9778, 40448, 3224, 5296, 33456, 1670, 497, 307, 257, 28540, 5593, 295, 363, 550], "avg_logprob": -0.3310032973164006, "compression_ratio": 1.4550561797752808, "no_speech_prob": 1.8477439880371094e-06, "words": [{"start": 2300.33, "end": 2301.01, "word": "أصغر", "probability": 0.8990478515625}, {"start": 2301.01, "end": 2301.47, "word": " اللي", "probability": 0.734375}, {"start": 2301.47, "end": 2301.99, "word": " هو", "probability": 0.97802734375}, {"start": 2301.99, "end": 2303.15, "word": " أُس", "probability": 0.6795247395833334}, {"start": 2303.15, "end": 2304.61, "word": " بتخلّي", "probability": 0.6826171875}, {"start": 2304.61, "end": 2305.13, "word": " R", "probability": 0.463134765625}, {"start": 2305.13, "end": 2306.35, "word": " أُس", "probability": 0.92333984375}, {"start": 2306.35, "end": 2307.69, "word": " اللي", "probability": 0.7734375}, {"start": 2307.69, "end": 2307.99, "word": " هي", "probability": 0.544921875}, {"start": 2307.99, "end": 2308.57, "word": " اللي", "probability": 0.892578125}, {"start": 2308.57, "end": 2308.99, "word": " عندي", "probability": 0.668701171875}, {"start": 2308.99, "end": 2309.21, "word": " K", "probability": 0.71923828125}, {"start": 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0.7303955078125}, {"start": 2316.19, "end": 2317.29, "word": " لأن", "probability": 0.43267822265625}, {"start": 2317.29, "end": 2318.87, "word": " since", "probability": 0.3779296875}, {"start": 2318.87, "end": 2321.29, "word": " R", "probability": 0.8603515625}, {"start": 2321.29, "end": 2321.89, "word": " is", "probability": 0.91845703125}, {"start": 2321.89, "end": 2322.11, "word": " a", "probability": 0.8974609375}, {"start": 2322.11, "end": 2322.51, "word": " primitive", "probability": 0.9443359375}, {"start": 2322.51, "end": 2326.21, "word": " root", "probability": 0.826171875}, {"start": 2326.21, "end": 2327.63, "word": " of", "probability": 0.9736328125}, {"start": 2327.63, "end": 2328.07, "word": " B", "probability": 0.865234375}, {"start": 2328.07, "end": 2329.23, "word": " then", "probability": 0.81005859375}], "temperature": 1.0}, {"id": 88, "seek": 235890, "start": 2330.28, "end": 2358.9, "text": "R to the 5 of B يطابق الواحد modulo B وهذا IE معناته أن R أقصى B minus واحد تطابق الواحد modulo B معيش يا جماعة لكن B معطينيها إيه أشمالها is an odd ببراية، مظبوط؟ معطينيها B في السؤال", "tokens": [49, 281, 264, 1025, 295, 363, 7251, 9566, 16758, 4587, 2423, 14407, 24401, 1072, 13455, 363, 37037, 15730, 286, 36, 20449, 8315, 47395, 14739, 497, 5551, 4587, 9381, 7578, 363, 3175, 36764, 24401, 6055, 9566, 16758, 4587, 2423, 14407, 24401, 1072, 13455, 363, 20449, 1829, 8592, 35186, 10874, 15042, 27884, 44381, 363, 20449, 9566, 9957, 1829, 11296, 11933, 1829, 3224, 5551, 8592, 2304, 6027, 11296, 307, 364, 7401, 4724, 3555, 23557, 10632, 12399, 3714, 19913, 3555, 2407, 9566, 22807, 20449, 9566, 9957, 1829, 11296, 363, 8978, 21136, 33604, 6027], "avg_logprob": -0.3168402648634381, "compression_ratio": 1.5265957446808511, "no_speech_prob": 1.3709068298339844e-06, "words": [{"start": 2330.28, "end": 2330.92, "word": "R", "probability": 0.5732421875}, {"start": 2330.92, "end": 2331.9, "word": " to", "probability": 0.244140625}, {"start": 2331.9, "end": 2332.08, "word": 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0.58056640625}, {"start": 2341.08, "end": 2341.36, "word": " أقصى", "probability": 0.538726806640625}, {"start": 2341.36, "end": 2341.5, "word": " B", "probability": 0.7490234375}, {"start": 2341.5, "end": 2341.86, "word": " minus", "probability": 0.24365234375}, {"start": 2341.86, "end": 2342.22, "word": " واحد", "probability": 0.806640625}, {"start": 2342.22, "end": 2342.74, "word": " تطابق", "probability": 0.8768310546875}, {"start": 2342.74, "end": 2343.46, "word": " الواحد", "probability": 0.9876302083333334}, {"start": 2343.46, "end": 2344.8, "word": " modulo", "probability": 0.910888671875}, {"start": 2344.8, "end": 2345.8, "word": " B", "probability": 0.9384765625}, {"start": 2345.8, "end": 2347.08, "word": " معيش", "probability": 0.5478922526041666}, {"start": 2347.08, "end": 2347.18, "word": " يا", "probability": 0.478515625}, {"start": 2347.18, "end": 2347.42, "word": " جماعة", "probability": 0.8697916666666666}, {"start": 2347.42, "end": 2348.9, "word": " لكن", "probability": 0.5947265625}, {"start": 2348.9, "end": 2349.14, "word": " B", "probability": 0.63916015625}, {"start": 2349.14, "end": 2349.72, "word": " معطينيها", "probability": 0.75966796875}, {"start": 2349.72, "end": 2349.92, "word": " إيه", "probability": 0.5979817708333334}, {"start": 2349.92, "end": 2350.56, "word": " أشمالها", "probability": 0.8318359375}, {"start": 2350.56, "end": 2351.68, "word": " is", "probability": 0.395263671875}, {"start": 2351.68, "end": 2351.96, "word": " an", "probability": 0.94921875}, {"start": 2351.96, "end": 2352.44, "word": " odd", "probability": 0.84912109375}, {"start": 2352.44, "end": 2355.82, "word": " ببراية،", "probability": 0.4712890625}, {"start": 2355.82, "end": 2357.38, "word": " مظبوط؟", "probability": 0.9047037760416666}, {"start": 2357.38, "end": 2358.0, "word": " معطينيها", "probability": 0.8888671875}, {"start": 2358.0, "end": 2358.14, "word": " B", "probability": 0.806640625}, {"start": 2358.14, "end": 2358.28, "word": " في", 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"probability": 0.892578125}, {"start": 2379.06, "end": 2380.0, "word": " صارت", "probability": 0.9640299479166666}, {"start": 2380.0, "end": 2380.1, "word": " اللي", "probability": 0.887939453125}, {"start": 2380.1, "end": 2380.24, "word": " هي", "probability": 0.87451171875}, {"start": 2380.24, "end": 2380.52, "word": " فرق", "probability": 0.9855143229166666}, {"start": 2380.52, "end": 2380.72, "word": " بين", "probability": 0.95068359375}, {"start": 2380.72, "end": 2381.42, "word": " المربعين", "probability": 0.89990234375}, {"start": 2381.42, "end": 2382.4, "word": " لأن", "probability": 0.7431640625}, {"start": 2382.4, "end": 2382.7, "word": " هذا", "probability": 0.6142578125}, {"start": 2382.7, "end": 2383.26, "word": " مربع", "probability": 0.8758138020833334}, {"start": 2383.26, "end": 2383.62, "word": " كامل", "probability": 0.9964192708333334}, {"start": 2383.62, "end": 2383.94, "word": " بيصير", "probability": 0.89404296875}, {"start": 2383.94, "end": 2384.12, "word": " B", "probability": 0.8603515625}, {"start": 2384.12, "end": 2384.72, "word": "-1", "probability": 0.930908203125}, {"start": 2384.72, "end": 2385.02, "word": " even", "probability": 0.82861328125}], "temperature": 1.0}, {"id": 90, "seek": 241535, "start": 2386.43, "end": 2415.35, "text": "إذا بقدر أحللها لفرق بين المربعين هذي تعني هذي و B odd بي minus واحد evil إذا هذا صار فرق بين المربعين إذا بمعنى آخر بقدر أقول R بي minus واحد على اتنين ناقص واحد في R بي minus واحد على اتنين زائد واحد تطابق السفر modulo B معاشر بابا", "tokens": [28814, 15730, 4724, 28543, 2288, 5551, 5016, 1211, 1211, 11296, 5296, 5172, 2288, 4587, 49374, 9673, 25513, 3615, 9957, 8032, 8848, 1829, 37279, 22653, 8032, 8848, 1829, 4032, 363, 7401, 4724, 1829, 3175, 36764, 24401, 6724, 11933, 15730, 23758, 20328, 9640, 6156, 2288, 4587, 49374, 9673, 25513, 3615, 9957, 11933, 15730, 4724, 2304, 3615, 1863, 7578, 19753, 34740, 4724, 28543, 2288, 5551, 39648, 497, 4724, 1829, 3175, 36764, 24401, 15844, 1975, 2655, 1863, 9957, 8717, 995, 4587, 9381, 36764, 24401, 8978, 497, 4724, 1829, 3175, 36764, 24401, 15844, 1975, 2655, 1863, 9957, 30767, 16373, 3215, 36764, 24401, 6055, 9566, 16758, 4587, 21136, 5172, 2288, 1072, 13455, 363, 20449, 33599, 2288, 4724, 16758, 995], "avg_logprob": -0.21984649802509107, "compression_ratio": 1.9543147208121827, "no_speech_prob": 1.1324882507324219e-06, "words": [{"start": 2386.43, "end": 2386.71, "word": "إذا", "probability": 0.3751220703125}, {"start": 2386.71, "end": 2387.13, "word": " بقدر", "probability": 0.8681640625}, {"start": 2387.13, "end": 2388.71, "word": " أحللها", "probability": 0.81396484375}, {"start": 2388.71, "end": 2389.05, "word": " لفرق", "probability": 0.9697265625}, {"start": 2389.05, "end": 2389.19, "word": " بين", "probability": 0.8994140625}, {"start": 2389.19, "end": 2389.85, "word": " المربعين", "probability": 0.9573974609375}, {"start": 2389.85, "end": 2391.89, "word": " هذي", "probability": 0.5768229166666666}, {"start": 2391.89, "end": 2393.07, "word": " تعني", "probability": 0.89892578125}, {"start": 2393.07, "end": 2394.35, "word": " هذي", "probability": 0.82080078125}, {"start": 2394.35, "end": 2394.57, "word": " و", "probability": 0.6630859375}, {"start": 2394.57, "end": 2394.75, "word": " B", "probability": 0.2164306640625}, {"start": 2394.75, "end": 2395.19, "word": " odd", "probability": 0.261474609375}, {"start": 2395.19, "end": 2395.83, "word": " بي", "probability": 0.5069580078125}, {"start": 2395.83, "end": 2396.11, "word": " minus", "probability": 0.264892578125}, {"start": 2396.11, "end": 2396.45, "word": " واحد", "probability": 0.984375}, {"start": 2396.45, "end": 2396.79, "word": " evil", "probability": 0.3046875}, {"start": 2396.79, "end": 2397.19, "word": " إذا", "probability": 0.82275390625}, {"start": 2397.19, "end": 2397.49, "word": " هذا", "probability": 0.52685546875}, {"start": 2397.49, "end": 2397.81, "word": " صار", "probability": 0.869384765625}, {"start": 2397.81, "end": 2398.51, "word": " فرق", "probability": 0.9845377604166666}, {"start": 2398.51, "end": 2398.71, "word": " بين", "probability": 0.96337890625}, {"start": 2398.71, "end": 2399.39, "word": " المربعين", "probability": 0.9844970703125}, {"start": 2399.39, "end": 2400.27, "word": " إذا", "probability": 0.879638671875}, {"start": 2400.27, "end": 2400.79, "word": " بمعنى", "probability": 0.992578125}, {"start": 2400.79, "end": 2401.23, "word": " آخر", "probability": 0.783935546875}, {"start": 2401.23, "end": 2401.67, "word": " بقدر", "probability": 0.9910481770833334}, {"start": 2401.67, "end": 2401.95, "word": " أقول", "probability": 0.896728515625}, {"start": 2401.95, "end": 2402.37, "word": " R", "probability": 0.57763671875}, {"start": 2402.37, "end": 2402.89, "word": " بي", "probability": 0.7152099609375}, {"start": 2402.89, "end": 2403.29, "word": " minus", "probability": 0.95166015625}, {"start": 2403.29, "end": 2403.73, "word": " واحد", "probability": 0.9833984375}, {"start": 2403.73, "end": 2403.91, "word": " على", "probability": 0.67236328125}, {"start": 2403.91, "end": 2404.27, "word": " اتنين", "probability": 0.9024658203125}, {"start": 2404.27, "end": 2404.67, "word": " ناقص", "probability": 0.928955078125}, {"start": 2404.67, "end": 2405.19, "word": " واحد", "probability": 0.988525390625}, {"start": 2405.19, "end": 2405.95, "word": " في", "probability": 0.7431640625}, {"start": 2405.95, "end": 2406.31, "word": " R", "probability": 0.8876953125}, {"start": 2406.31, "end": 2407.07, "word": " بي", "probability": 0.98681640625}, {"start": 2407.07, "end": 2407.55, "word": " minus", "probability": 0.9892578125}, {"start": 2407.55, "end": 2407.99, "word": " واحد", "probability": 0.9931640625}, {"start": 2407.99, "end": 2408.17, "word": " على", "probability": 0.87841796875}, {"start": 2408.17, "end": 2408.57, "word": " اتنين", "probability": 0.9693603515625}, {"start": 2408.57, "end": 2408.95, "word": " زائد", "probability": 0.9353841145833334}, {"start": 2408.95, "end": 2409.47, "word": " واحد", "probability": 0.99169921875}, {"start": 2409.47, "end": 2410.27, "word": " تطابق", "probability": 0.9451904296875}, {"start": 2410.27, "end": 2410.87, "word": " السفر", "probability": 0.8479817708333334}, {"start": 2410.87, "end": 2412.47, "word": " modulo", "probability": 0.797119140625}, {"start": 2412.47, "end": 2413.17, "word": " B", "probability": 0.716796875}, {"start": 2413.17, "end": 2414.99, "word": " معاشر", "probability": 0.585205078125}, {"start": 2414.99, "end": 2415.35, "word": " بابا", "probability": 0.8790690104166666}], "temperature": 1.0}, {"id": 91, "seek": 244639, "start": 2416.97, "end": 2446.39, "text": "حللت هذا على فرق بين مربعين مجلد الواحد هنا r بي minus واحد ناقص واحد معايا يا شباب إذا صار عندي الآن then ال بي هتجسم ال r بي minus واحد على اتنين ناقص واحد في r بي minus واحد على اتنين زائد واحد و ال بي is Zebral إذا يا بي بتجسم الأولى و يا ابنى بتجسم الميال التانية then", "tokens": [5016, 1211, 1211, 2655, 23758, 15844, 6156, 2288, 4587, 49374, 3714, 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"probability": 0.94970703125}, {"start": 2438.55, "end": 2438.93, "word": " minus", "probability": 0.98974609375}, {"start": 2438.93, "end": 2439.31, "word": " واحد", "probability": 0.991455078125}, {"start": 2439.31, "end": 2439.49, "word": " على", "probability": 0.87158203125}, {"start": 2439.49, "end": 2439.79, "word": " اتنين", "probability": 0.947265625}, {"start": 2439.79, "end": 2440.13, "word": " زائد", "probability": 0.9459635416666666}, {"start": 2440.13, "end": 2440.73, "word": " واحد", "probability": 0.989501953125}, {"start": 2440.73, "end": 2441.93, "word": " و", "probability": 0.466064453125}, {"start": 2441.93, "end": 2442.03, "word": " ال", "probability": 0.6826171875}, {"start": 2442.03, "end": 2442.17, "word": " بي", "probability": 0.851318359375}, {"start": 2442.17, "end": 2442.31, "word": " is", "probability": 0.25146484375}, {"start": 2442.31, "end": 2442.63, "word": " Zebral", "probability": 0.45843505859375}, {"start": 2442.63, "end": 2442.91, "word": " إذا", 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"seek": 247508, "start": 2447.46, "end": 2475.08, "text": "and so الـ R بتقسم الـ B بتقسم الـ R أُس B minus واحد على اتنين ناقص واحد or الـ B بتقسم الـ R أُس B minus واحد على اتنين زائد واحد، مظبوط؟ الآن هذه مستحيلة", "tokens": [474, 370, 2423, 39184, 497, 39894, 4587, 38251, 2423, 39184, 363, 39894, 4587, 38251, 2423, 39184, 497, 5551, 10859, 3794, 363, 3175, 36764, 24401, 15844, 1975, 2655, 1863, 9957, 8717, 995, 4587, 9381, 36764, 24401, 420, 2423, 39184, 363, 39894, 4587, 38251, 2423, 39184, 497, 5551, 10859, 3794, 363, 3175, 36764, 24401, 15844, 1975, 2655, 1863, 9957, 30767, 16373, 3215, 36764, 24401, 12399, 3714, 19913, 3555, 2407, 9566, 22807, 6024, 48506, 29538, 3714, 14851, 5016, 26895, 3660], "avg_logprob": -0.2038261238963176, "compression_ratio": 1.8333333333333333, "no_speech_prob": 3.3974647521972656e-06, "words": [{"start": 2447.46, "end": 2447.84, "word": "and", "probability": 0.423583984375}, {"start": 2447.84, "end": 2448.48, "word": " so", "probability": 0.9150390625}, {"start": 2448.48, "end": 2450.04, "word": " الـ", "probability": 0.486083984375}, {"start": 2450.04, "end": 2450.18, "word": " R", "probability": 0.26513671875}, {"start": 2450.18, "end": 2450.66, "word": " بتقسم", "probability": 0.712890625}, {"start": 2450.66, "end": 2451.38, "word": " الـ", "probability": 0.78564453125}, {"start": 2451.38, "end": 2454.04, "word": " B", "probability": 0.59912109375}, {"start": 2454.04, "end": 2455.28, "word": " بتقسم", "probability": 0.7294921875}, {"start": 2455.28, "end": 2455.5, "word": " الـ", "probability": 0.932373046875}, {"start": 2455.5, "end": 2456.22, "word": " R", "probability": 0.77197265625}, {"start": 2456.22, "end": 2457.8, "word": " أُس", "probability": 0.4970296223958333}, {"start": 2457.8, "end": 2458.06, "word": " B", "probability": 0.65380859375}, {"start": 2458.06, "end": 2458.48, "word": " minus", "probability": 0.307861328125}, {"start": 2458.48, "end": 2458.9, "word": " واحد", "probability": 0.84765625}, {"start": 2458.9, "end": 2459.1, "word": " على", "probability": 0.7431640625}, {"start": 2459.1, "end": 2459.62, "word": " اتنين", "probability": 0.916015625}, {"start": 2459.62, "end": 2460.78, "word": " ناقص", "probability": 0.94091796875}, {"start": 2460.78, "end": 2461.42, "word": " واحد", "probability": 0.99365234375}, {"start": 2461.42, "end": 2462.82, "word": " or", "probability": 0.7236328125}, {"start": 2462.82, "end": 2464.06, "word": " الـ", "probability": 0.879638671875}, {"start": 2464.06, "end": 2464.4, "word": " B", "probability": 0.89501953125}, {"start": 2464.4, "end": 2465.02, "word": " بتقسم", "probability": 0.9226888020833334}, {"start": 2465.02, "end": 2465.26, "word": " الـ", "probability": 0.97705078125}, {"start": 2465.26, "end": 2465.68, "word": " R", "probability": 0.916015625}, {"start": 2465.68, "end": 2466.48, "word": " أُس", "probability": 0.9178059895833334}, {"start": 2466.48, "end": 2466.66, "word": " B", "probability": 0.9697265625}, {"start": 2466.66, "end": 2467.0, "word": " minus", "probability": 0.98681640625}, {"start": 2467.0, "end": 2467.36, "word": " واحد", "probability": 0.9931640625}, {"start": 2467.36, "end": 2467.5, "word": " على", "probability": 0.88232421875}, {"start": 2467.5, "end": 2467.88, "word": " اتنين", "probability": 0.968017578125}, {"start": 2467.88, "end": 2468.6, "word": " زائد", "probability": 0.95458984375}, {"start": 2468.6, "end": 2470.62, "word": " واحد،", "probability": 0.8143717447916666}, {"start": 2470.62, "end": 2473.46, "word": " مظبوط؟", "probability": 0.945068359375}, {"start": 2473.46, "end": 2474.06, "word": " الآن", "probability": 0.7083740234375}, {"start": 2474.06, "end": 2474.34, "word": " هذه", "probability": 0.61376953125}, {"start": 2474.34, "end": 2475.08, "word": " مستحيلة", "probability": 0.97998046875}], "temperature": 1.0}, {"id": 93, "seek": 250371, "start": 2475.95, "end": 2503.71, "text": "ليش هذه مستحيلة؟ لأن هذه بتعني أن ر بي ماينوس واحد على اتنين تطابق الواحد وهذا بناقض أن ال order للر هو بي ماينوس واحد لأن ر is a primitive root إذن هذه ليست واحدة إذن بتبقى هذه ما هو المطلوب كمان مرة خليني أكتب هنا أكمل فوق", "tokens": [20292, 8592, 29538, 3714, 14851, 5016, 26895, 3660, 22807, 5296, 33456, 29538, 39894, 3615, 22653, 14739, 12602, 4724, 1829, 19446, 9957, 41779, 36764, 24401, 15844, 1975, 2655, 1863, 9957, 6055, 9566, 16758, 4587, 2423, 14407, 24401, 37037, 15730, 44945, 995, 4587, 11242, 14739, 2423, 1668, 24976, 2288, 31439, 4724, 1829, 19446, 9957, 41779, 36764, 24401, 5296, 33456, 12602, 307, 257, 28540, 5593, 11933, 8848, 1863, 29538, 32239, 14851, 36764, 24401, 3660, 11933, 8848, 1863, 39894, 3555, 4587, 7578, 29538, 19446, 31439, 9673, 9566, 1211, 37746, 9122, 2304, 7649, 3714, 25720, 16490, 1211, 9957, 1829, 5551, 4117, 2655, 3555, 34105, 5551, 24793, 1211, 6156, 30543], "avg_logprob": -0.29940475282214934, "compression_ratio": 1.784037558685446, "no_speech_prob": 8.344650268554688e-07, "words": [{"start": 2475.95, "end": 2476.31, "word": "ليش", 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2489.35, "word": " واحد", "probability": 0.99267578125}, {"start": 2489.35, "end": 2490.33, "word": " لأن", "probability": 0.88427734375}, {"start": 2490.33, "end": 2490.51, "word": " ر", "probability": 0.48046875}, {"start": 2490.51, "end": 2490.67, "word": " is", "probability": 0.55712890625}, {"start": 2490.67, "end": 2490.75, "word": " a", "probability": 0.52978515625}, {"start": 2490.75, "end": 2490.99, "word": " primitive", "probability": 0.9580078125}, {"start": 2490.99, "end": 2491.53, "word": " root", "probability": 0.9462890625}, {"start": 2491.53, "end": 2492.25, "word": " إذن", "probability": 0.6134440104166666}, {"start": 2492.25, "end": 2492.45, "word": " هذه", "probability": 0.572265625}, {"start": 2492.45, "end": 2492.61, "word": " ليست", "probability": 0.6690673828125}, {"start": 2492.61, "end": 2493.01, "word": " واحدة", "probability": 0.9324544270833334}, {"start": 2493.01, "end": 2493.39, "word": " إذن", "probability": 0.5391845703125}, {"start": 2493.39, "end": 2493.73, "word": " بتبقى", "probability": 0.568634033203125}, {"start": 2493.73, "end": 2494.15, "word": " هذه", "probability": 0.8046875}, {"start": 2494.15, "end": 2494.59, "word": " ما", "probability": 0.70556640625}, {"start": 2494.59, "end": 2494.71, "word": " هو", "probability": 0.6533203125}, {"start": 2494.71, "end": 2495.29, "word": " المطلوب", "probability": 0.979248046875}, {"start": 2495.29, "end": 2495.85, "word": " كمان", "probability": 0.8369140625}, {"start": 2495.85, "end": 2496.19, "word": " مرة", "probability": 0.967529296875}, {"start": 2496.19, "end": 2497.95, "word": " خليني", "probability": 0.8555908203125}, {"start": 2497.95, "end": 2499.07, "word": " أكتب", "probability": 0.9468994140625}, {"start": 2499.07, "end": 2499.49, "word": " هنا", "probability": 0.97021484375}, {"start": 2499.49, "end": 2503.31, "word": " أكمل", "probability": 0.9752604166666666}, {"start": 2503.31, "end": 2503.71, "word": " فوق", "probability": 0.958984375}], "temperature": 1.0}, {"id": 94, "seek": 253652, "start": 2507.24, "end": 2536.52, "text": "هوضح اللي حكيته قبله شوية اذا صار عندي then اللي هو ال R بي minus واحد ناقص واحد تطابق السفر modulo B or R على اتنين R معايا او R بي ناقص واحد على اتنين", "tokens": [3224, 2407, 11242, 5016, 13672, 1829, 11331, 4117, 36081, 3224, 12174, 36150, 3224, 13412, 2407, 10632, 1975, 15730, 20328, 9640, 43242, 1829, 550, 13672, 1829, 31439, 2423, 497, 4724, 1829, 3175, 36764, 24401, 8717, 995, 4587, 9381, 36764, 24401, 6055, 9566, 16758, 4587, 21136, 5172, 2288, 1072, 13455, 363, 420, 497, 15844, 1975, 2655, 1863, 9957, 497, 20449, 995, 25528, 1975, 2407, 497, 4724, 1829, 8717, 995, 4587, 9381, 36764, 24401, 15844, 1975, 2655, 1863, 9957], "avg_logprob": -0.2773944665859272, "compression_ratio": 1.55, "no_speech_prob": 5.125999450683594e-06, "words": [{"start": 2507.24, "end": 2507.76, "word": "هوضح", "probability": 0.745452880859375}, {"start": 2507.76, "end": 2507.9, "word": " اللي", "probability": 0.61083984375}, {"start": 2507.9, "end": 2508.26, "word": " حكيته", "probability": 0.9222412109375}, {"start": 2508.26, "end": 2508.54, "word": " قبله", "probability": 0.7416178385416666}, {"start": 2508.54, "end": 2508.94, "word": " شوية", "probability": 0.9083658854166666}, {"start": 2508.94, "end": 2510.5, "word": " اذا", "probability": 0.6629638671875}, {"start": 2510.5, "end": 2510.8, "word": " صار", "probability": 0.9580078125}, {"start": 2510.8, "end": 2511.8, "word": " عندي", "probability": 0.5316162109375}, {"start": 2511.8, "end": 2512.36, "word": " then", "probability": 0.66064453125}, {"start": 2512.36, "end": 2513.94, "word": " اللي", "probability": 0.889404296875}, {"start": 2513.94, "end": 2514.36, "word": " هو", "probability": 0.984375}, {"start": 2514.36, "end": 2516.3, "word": " ال", "probability": 0.537109375}, {"start": 2516.3, "end": 2516.82, "word": " R", "probability": 0.240234375}, {"start": 2516.82, "end": 2517.52, "word": " بي", "probability": 0.3935546875}, {"start": 2517.52, "end": 2517.94, "word": " minus", "probability": 0.3525390625}, {"start": 2517.94, "end": 2518.66, "word": " واحد", "probability": 0.97802734375}, {"start": 2518.66, "end": 2521.12, "word": " ناقص", "probability": 0.80975341796875}, {"start": 2521.12, "end": 2521.5, "word": " واحد", "probability": 0.991455078125}, {"start": 2521.5, "end": 2522.04, "word": " تطابق", "probability": 0.8253173828125}, {"start": 2522.04, "end": 2522.56, "word": " السفر", "probability": 0.8684895833333334}, {"start": 2522.56, "end": 2523.94, "word": " modulo", "probability": 0.879638671875}, {"start": 2523.94, "end": 2524.8, "word": " B", "probability": 0.345458984375}, {"start": 2524.8, "end": 2525.86, "word": " or", "probability": 0.38818359375}, {"start": 2525.86, "end": 2526.6, "word": " R", "probability": 0.94677734375}, {"start": 2526.6, "end": 2527.02, "word": " على", "probability": 0.638671875}, {"start": 2527.02, "end": 2527.58, "word": " اتنين", "probability": 0.90185546875}, {"start": 2527.58, "end": 2528.74, "word": " R", "probability": 0.40576171875}, {"start": 2528.74, "end": 2531.46, "word": " معايا", "probability": 0.8621419270833334}, {"start": 2531.46, "end": 2532.56, "word": " او", "probability": 0.65234375}, {"start": 2532.56, "end": 2533.08, "word": " R", "probability": 0.83544921875}, {"start": 2533.08, "end": 2535.02, "word": " بي", "probability": 0.869140625}, {"start": 2535.02, "end": 2535.48, "word": " ناقص", "probability": 0.95654296875}, {"start": 2535.48, "end": 2535.82, "word": " واحد", "probability": 0.994873046875}, {"start": 2535.82, "end": 2535.98, "word": " على", "probability": 0.884765625}, {"start": 2535.98, "end": 2536.52, "word": " اتنين", "probability": 0.98583984375}], "temperature": 1.0}, {"id": 95, "seek": 256589, "start": 2537.19, "end": 2565.89, "text": "زائد واحد تطابق السفر modulo بي واضح IE وهذا معنى أن R أقص بي minus واحد على اتنين تطابق الواحد modulo بي or R أقص بي minus واحد على اتنين يطابق الناقص واحد modulo مين modulo بي الأول هو مستحيل هذا مستحيل", "tokens": [11622, 16373, 3215, 36764, 24401, 6055, 9566, 16758, 4587, 21136, 5172, 2288, 1072, 13455, 4724, 1829, 4032, 46958, 5016, 286, 36, 37037, 15730, 20449, 1863, 7578, 14739, 497, 5551, 4587, 9381, 4724, 1829, 3175, 36764, 24401, 15844, 1975, 2655, 1863, 9957, 6055, 9566, 16758, 4587, 2423, 14407, 24401, 1072, 13455, 4724, 1829, 420, 497, 5551, 4587, 9381, 4724, 1829, 3175, 36764, 24401, 15844, 1975, 2655, 1863, 9957, 7251, 9566, 16758, 4587, 2423, 8315, 4587, 9381, 36764, 24401, 1072, 13455, 3714, 9957, 1072, 13455, 4724, 1829, 2423, 10721, 12610, 31439, 3714, 14851, 5016, 26895, 23758, 3714, 14851, 5016, 26895], "avg_logprob": -0.24621212181418833, "compression_ratio": 2.0185185185185186, "no_speech_prob": 1.043081283569336e-05, "words": [{"start": 2537.19, "end": 2537.75, "word": "زائد", "probability": 0.6984049479166666}, {"start": 2537.75, "end": 2538.11, "word": " واحد", "probability": 0.951171875}, {"start": 2538.11, "end": 2538.59, "word": " تطابق", "probability": 0.936767578125}, {"start": 2538.59, "end": 2539.15, "word": " السفر", "probability": 0.8929036458333334}, {"start": 2539.15, "end": 2540.47, "word": " modulo", "probability": 0.684326171875}, {"start": 2540.47, "end": 2541.15, "word": " بي", "probability": 0.4942626953125}, {"start": 2541.15, "end": 2542.59, "word": " واضح", "probability": 0.8741861979166666}, {"start": 2542.59, "end": 2544.43, "word": " IE", "probability": 0.5997314453125}, {"start": 2544.43, "end": 2544.97, "word": " وهذا", "probability": 0.8408203125}, {"start": 2544.97, "end": 2545.53, "word": " معنى", "probability": 0.8077799479166666}, {"start": 2545.53, "end": 2546.21, "word": " أن", "probability": 0.34814453125}, {"start": 2546.21, "end": 2546.67, "word": " R", "probability": 0.29296875}, {"start": 2546.67, "end": 2546.97, "word": " أقص", "probability": 0.7381998697916666}, {"start": 2546.97, "end": 2547.21, "word": " بي", "probability": 0.6705322265625}, {"start": 2547.21, "end": 2547.51, "word": " minus", "probability": 0.40869140625}, {"start": 2547.51, "end": 2547.93, "word": " واحد", "probability": 0.975830078125}, {"start": 2547.93, "end": 2548.13, "word": " على", "probability": 0.630859375}, {"start": 2548.13, "end": 2548.49, "word": " اتنين", "probability": 0.9342041015625}, {"start": 2548.49, "end": 2549.03, "word": " تطابق", "probability": 0.984130859375}, {"start": 2549.03, "end": 2549.57, "word": " الواحد", "probability": 0.9554036458333334}, {"start": 2549.57, "end": 2550.01, "word": " modulo", "probability": 0.9423828125}, {"start": 2550.01, "end": 2550.97, "word": " بي", "probability": 0.957275390625}, {"start": 2550.97, "end": 2551.99, "word": " or", "probability": 0.326416015625}, {"start": 2551.99, "end": 2553.13, "word": " R", "probability": 0.533203125}, {"start": 2553.13, "end": 2553.37, "word": " أقص", "probability": 0.9459635416666666}, {"start": 2553.37, "end": 2553.67, "word": " بي", "probability": 0.9765625}, {"start": 2553.67, "end": 2554.01, "word": " minus", "probability": 0.98388671875}, {"start": 2554.01, "end": 2554.57, "word": " واحد", "probability": 0.990478515625}, {"start": 2554.57, "end": 2554.95, "word": " على", "probability": 0.92578125}, {"start": 2554.95, "end": 2555.37, "word": " اتنين", "probability": 0.9757080078125}, {"start": 2555.37, "end": 2555.89, "word": " يطابق", "probability": 0.9603271484375}, {"start": 2555.89, "end": 2556.45, "word": " الناقص", "probability": 0.76800537109375}, {"start": 2556.45, "end": 2556.89, "word": " واحد", "probability": 0.978271484375}, {"start": 2556.89, "end": 2557.27, "word": " modulo", "probability": 0.959228515625}, {"start": 2557.27, "end": 2557.65, "word": " مين", "probability": 0.826904296875}, {"start": 2557.65, "end": 2558.59, "word": " modulo", "probability": 0.958251953125}, {"start": 2558.59, "end": 2558.85, "word": " بي", "probability": 0.9697265625}, {"start": 2558.85, "end": 2559.79, "word": " الأول", "probability": 0.5613606770833334}, {"start": 2559.79, "end": 2560.27, "word": " هو", "probability": 0.5966796875}, {"start": 2560.27, "end": 2560.95, "word": " مستحيل", "probability": 0.599456787109375}, {"start": 2560.95, "end": 2562.43, "word": " هذا", "probability": 0.66552734375}, {"start": 2562.43, "end": 2565.89, "word": " مستحيل", "probability": 0.833984375}], "temperature": 1.0}, {"id": 96, "seek": 259700, "start": 2568.48, "end": 2597.0, "text": "because ال order لل R modulo B بيساوي B minus واحد وهذا أكبر من مين؟ أكبر من B ناقص واحد على اتنين وهذا بناقض مين أنه مافيش ولا T بين ال B minus واحد حيث أن R وت T تطابق ال واحد مدلوق إذا دل عندي مين بس therefore", "tokens": [17566, 2423, 1668, 24976, 497, 1072, 13455, 363, 4724, 1829, 3794, 995, 45865, 363, 3175, 36764, 24401, 37037, 15730, 5551, 4117, 26890, 9154, 3714, 9957, 22807, 5551, 4117, 26890, 9154, 363, 8717, 995, 4587, 9381, 36764, 24401, 15844, 1975, 2655, 1863, 9957, 37037, 15730, 44945, 995, 4587, 11242, 3714, 9957, 14739, 3224, 19446, 41185, 8592, 49429, 314, 49374, 2423, 363, 3175, 36764, 24401, 11331, 1829, 12984, 14739, 497, 34683, 314, 6055, 9566, 16758, 4587, 2423, 36764, 24401, 3714, 3215, 1211, 30543, 11933, 15730, 11778, 1211, 18871, 16254, 3714, 9957, 4724, 3794, 4412], "avg_logprob": -0.29569891319479996, "compression_ratio": 1.6305418719211822, "no_speech_prob": 7.510185241699219e-06, "words": [{"start": 2568.48, "end": 2569.4, "word": "because", "probability": 0.135498046875}, {"start": 2569.4, "end": 2570.32, "word": " ال", "probability": 0.385009765625}, {"start": 2570.32, "end": 2570.84, "word": " order", "probability": 0.57421875}, {"start": 2570.84, "end": 2572.44, "word": " لل", "probability": 0.71630859375}, {"start": 2572.44, "end": 2572.96, "word": " R", "probability": 0.277587890625}, {"start": 2572.96, "end": 2573.72, "word": " modulo", "probability": 0.70654296875}, {"start": 2573.72, "end": 2574.24, "word": " B", "probability": 0.40673828125}, {"start": 2574.24, "end": 2574.82, "word": " بيساوي", "probability": 0.718701171875}, {"start": 2574.82, "end": 2575.12, "word": " B", "probability": 0.66845703125}, {"start": 2575.12, "end": 2575.56, "word": " minus", "probability": 0.194580078125}, {"start": 2575.56, "end": 2576.12, "word": " واحد", "probability": 0.8408203125}, {"start": 2576.12, "end": 2577.84, "word": " وهذا", "probability": 0.856689453125}, {"start": 2577.84, "end": 2578.64, "word": " أكبر", "probability": 0.8623046875}, {"start": 2578.64, "end": 2578.82, "word": " من", "probability": 0.97216796875}, {"start": 2578.82, "end": 2579.46, "word": " مين؟", "probability": 0.617431640625}, {"start": 2579.46, "end": 2580.24, "word": " أكبر", "probability": 0.9225260416666666}, {"start": 2580.24, "end": 2581.16, "word": " من", "probability": 0.982421875}, {"start": 2581.16, "end": 2581.36, "word": " B", "probability": 0.6875}, {"start": 2581.36, "end": 2581.76, "word": " ناقص", "probability": 0.8623046875}, {"start": 2581.76, "end": 2582.3, "word": " واحد", "probability": 0.980224609375}, {"start": 2582.3, "end": 2582.56, "word": " على", "probability": 0.7939453125}, {"start": 2582.56, "end": 2583.02, "word": " اتنين", "probability": 0.9244384765625}, {"start": 2583.02, "end": 2584.72, "word": " وهذا", "probability": 0.9052734375}, {"start": 2584.72, "end": 2585.2, "word": " بناقض", "probability": 0.8184814453125}, {"start": 2585.2, "end": 2585.62, "word": " مين", "probability": 0.968505859375}, {"start": 2585.62, "end": 2586.84, "word": " أنه", "probability": 0.58203125}, {"start": 2586.84, "end": 2587.3, "word": " مافيش", "probability": 0.9124348958333334}, {"start": 2587.3, "end": 2587.68, "word": " ولا", "probability": 0.751953125}, {"start": 2587.68, "end": 2587.92, "word": " T", "probability": 0.8330078125}, {"start": 2587.92, "end": 2588.24, "word": " بين", "probability": 0.98095703125}, {"start": 2588.24, "end": 2588.38, "word": " ال", "probability": 0.59521484375}, {"start": 2588.38, "end": 2588.52, "word": " B", "probability": 0.90185546875}, {"start": 2588.52, "end": 2588.88, "word": " minus", "probability": 0.896484375}, {"start": 2588.88, "end": 2589.46, "word": " واحد", "probability": 0.99169921875}, {"start": 2589.46, "end": 2590.12, "word": " حيث", "probability": 0.8445638020833334}, {"start": 2590.12, "end": 2590.26, "word": " أن", "probability": 0.5146484375}, {"start": 2590.26, "end": 2590.46, "word": " R", "probability": 0.59375}, {"start": 2590.46, "end": 2590.68, "word": " وت", "probability": 0.320556640625}, {"start": 2590.68, "end": 2590.86, "word": " T", "probability": 0.53173828125}, {"start": 2590.86, "end": 2591.3, "word": " تطابق", "probability": 0.925537109375}, {"start": 2591.3, "end": 2591.5, "word": " ال", "probability": 0.92626953125}, {"start": 2591.5, "end": 2592.76, "word": " واحد", "probability": 0.86083984375}, {"start": 2592.76, "end": 2593.2, "word": " مدلوق", "probability": 0.66473388671875}, {"start": 2593.2, "end": 2594.26, "word": " إذا", "probability": 0.55615234375}, {"start": 2594.26, "end": 2594.66, "word": " دل", "probability": 0.5118408203125}, {"start": 2594.66, "end": 2595.02, "word": " عندي", "probability": 0.72705078125}, {"start": 2595.02, "end": 2595.24, "word": " مين", "probability": 0.98876953125}, {"start": 2595.24, "end": 2595.72, "word": " بس", "probability": 0.982177734375}, {"start": 2595.72, "end": 2597.0, "word": " therefore", "probability": 0.64111328125}], "temperature": 1.0}, {"id": 97, "seek": 262787, "start": 2598.83, "end": 2627.87, "text": "RB-1 على 2 تطابق الناقص 1 modulo B وهو المطلوب أي سؤال؟ نجي الآن أنحل B إذن الله أثبتنا إنه لما كانت الـR primitive root", "tokens": [49, 33, 12, 16, 15844, 568, 6055, 9566, 16758, 4587, 2423, 8315, 4587, 9381, 502, 1072, 13455, 363, 37037, 2407, 9673, 9566, 1211, 37746, 36632, 8608, 33604, 6027, 22807, 8717, 7435, 1829, 6024, 48506, 14739, 5016, 1211, 363, 11933, 8848, 1863, 21984, 5551, 12984, 3555, 2655, 8315, 36145, 3224, 5296, 15042, 25961, 2655, 2423, 39184, 49, 28540, 5593], "avg_logprob": -0.31673728409460034, "compression_ratio": 1.236842105263158, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 2598.83, "end": 2599.63, "word": "RB", "probability": 0.1194610595703125}, {"start": 2599.63, "end": 2600.33, "word": "-1", "probability": 0.677001953125}, {"start": 2600.33, "end": 2600.49, "word": " على", "probability": 0.06951904296875}, {"start": 2600.49, "end": 2600.73, "word": " 2", "probability": 0.89599609375}, {"start": 2600.73, "end": 2601.27, "word": " تطابق", "probability": 0.7763671875}, {"start": 2601.27, "end": 2601.75, "word": " الناقص", "probability": 0.6763916015625}, {"start": 2601.75, "end": 2602.21, "word": " 1", "probability": 0.5830078125}, {"start": 2602.21, "end": 2603.45, "word": " modulo", "probability": 0.505615234375}, {"start": 2603.45, "end": 2603.75, "word": " B", "probability": 0.72705078125}, {"start": 2603.75, "end": 2604.47, "word": " وهو", "probability": 0.90478515625}, {"start": 2604.47, "end": 2605.17, "word": " المطلوب", "probability": 0.9844970703125}, {"start": 2605.17, "end": 2608.47, "word": " أي", "probability": 0.63720703125}, {"start": 2608.47, "end": 2611.63, "word": " سؤال؟", "probability": 0.8603515625}, {"start": 2611.63, "end": 2612.15, "word": " نجي", "probability": 0.7110188802083334}, {"start": 2612.15, "end": 2614.39, "word": " الآن", "probability": 0.776611328125}, {"start": 2614.39, "end": 2620.61, "word": " أنحل", "probability": 0.9021809895833334}, {"start": 2620.61, "end": 2620.93, "word": " B", "probability": 0.626953125}, {"start": 2620.93, "end": 2624.97, "word": " إذن", "probability": 0.7255045572916666}, {"start": 2624.97, "end": 2625.15, "word": " الله", "probability": 0.81396484375}, {"start": 2625.15, "end": 2625.63, "word": " أثبتنا", "probability": 0.97470703125}, {"start": 2625.63, "end": 2625.87, "word": " إنه", "probability": 0.670166015625}, {"start": 2625.87, "end": 2626.07, "word": " لما", "probability": 0.879638671875}, {"start": 2626.07, "end": 2626.49, "word": " كانت", "probability": 0.932861328125}, {"start": 2626.49, "end": 2626.79, "word": " الـR", "probability": 0.65283203125}, {"start": 2626.79, "end": 2627.19, "word": " primitive", "probability": 0.470458984375}, {"start": 2627.19, "end": 2627.87, "word": " root", "probability": 0.9560546875}], "temperature": 1.0}, {"id": 98, "seek": 265801, "start": 2628.67, "end": 2658.01, "text": "للـ B فلعندي هذا التطابق أي شمالها صحيحة الان بي بي بي بتقولنا يلي بي if R and R prime are primitive roots", "tokens": [1211, 1211, 39184, 363, 6156, 1211, 3615, 1863, 16254, 23758, 16712, 9566, 16758, 4587, 36632, 13412, 2304, 6027, 11296, 20328, 5016, 1829, 5016, 3660, 2423, 7649, 4724, 1829, 4724, 1829, 4724, 1829, 39894, 39648, 8315, 7251, 20292, 4724, 1829, 498, 497, 293, 497, 5835, 366, 28540, 10669], "avg_logprob": -0.2581380320092042, "compression_ratio": 1.2403100775193798, "no_speech_prob": 3.5762786865234375e-07, "words": [{"start": 2628.67, "end": 2629.11, "word": "للـ", "probability": 0.7625325520833334}, {"start": 2629.11, "end": 2629.47, "word": " B", "probability": 0.64453125}, {"start": 2629.47, "end": 2630.63, "word": " فلعندي", "probability": 0.8046875}, {"start": 2630.63, "end": 2630.89, "word": " هذا", "probability": 0.461181640625}, {"start": 2630.89, "end": 2631.47, "word": " التطابق", "probability": 0.9915771484375}, {"start": 2631.47, "end": 2631.71, "word": " أي", "probability": 0.58544921875}, {"start": 2631.71, "end": 2632.41, "word": " شمالها", "probability": 0.8358154296875}, {"start": 2632.41, "end": 2633.21, "word": " صحيحة", "probability": 0.9412109375}, {"start": 2633.21, "end": 2636.51, "word": " الان", "probability": 0.66943359375}, {"start": 2636.51, "end": 2637.47, "word": " بي", "probability": 0.7666015625}, {"start": 2637.47, "end": 2641.01, "word": " بي", "probability": 0.751708984375}, {"start": 2641.01, "end": 2642.61, "word": " بي", "probability": 0.731201171875}, {"start": 2642.61, "end": 2643.33, "word": " بتقولنا", "probability": 0.761962890625}, {"start": 2643.33, "end": 2643.83, "word": " يلي", "probability": 0.570556640625}, {"start": 2643.83, "end": 2647.75, "word": " بي", "probability": 0.931640625}, {"start": 2647.75, "end": 2648.35, "word": " if", "probability": 0.66748046875}, {"start": 2648.35, "end": 2650.01, "word": " R", "probability": 0.72998046875}, {"start": 2650.01, "end": 2651.11, "word": " and", "probability": 0.892578125}, {"start": 2651.11, "end": 2651.65, "word": " R", "probability": 0.91357421875}, {"start": 2651.65, "end": 2652.31, "word": " prime", "probability": 0.40673828125}, {"start": 2652.31, "end": 2653.17, "word": " are", "probability": 0.7763671875}, {"start": 2653.17, "end": 2655.11, "word": " primitive", "probability": 0.6630859375}, {"start": 2655.11, "end": 2658.01, "word": " roots", "probability": 0.8935546875}], "temperature": 1.0}, {"id": 99, "seek": 268496, "start": 2658.98, "end": 2684.96, "text": "of B then R' is not a primitive root of B غروف إذا كانت B زي نقطة برايم إذا حاصل درب", "tokens": [2670, 363, 550, 497, 6, 307, 406, 257, 28540, 5593, 295, 363, 32771, 32887, 5172, 11933, 15730, 25961, 2655, 363, 30767, 1829, 8717, 47432, 3660, 4724, 23557, 32640, 11933, 15730, 11331, 33546, 1211, 11778, 25513], "avg_logprob": -0.4058159598045879, "compression_ratio": 1.0357142857142858, "no_speech_prob": 4.76837158203125e-07, "words": [{"start": 2658.98, "end": 2659.54, "word": "of", "probability": 0.327392578125}, {"start": 2659.54, "end": 2660.96, "word": " B", "probability": 0.615234375}, {"start": 2660.96, "end": 2662.5, "word": " then", "probability": 0.5537109375}, {"start": 2662.5, "end": 2663.58, "word": " R'", "probability": 0.763671875}, {"start": 2663.84, "end": 2664.82, "word": " is", "probability": 0.356201171875}, {"start": 2664.82, "end": 2665.7, "word": " not", "probability": 0.9423828125}, {"start": 2665.7, "end": 2667.0, "word": " a", "probability": 0.8427734375}, {"start": 2667.0, "end": 2667.68, "word": " primitive", "probability": 0.90673828125}, {"start": 2667.68, "end": 2671.12, "word": " root", "probability": 0.93310546875}, {"start": 2671.12, "end": 2674.34, "word": " of", "probability": 0.96337890625}, {"start": 2674.34, "end": 2676.06, "word": " B", "probability": 0.9404296875}, {"start": 2676.06, "end": 2677.08, "word": " غروف", "probability": 0.670379638671875}, {"start": 2677.08, "end": 2681.34, "word": " إذا", "probability": 0.8203125}, {"start": 2681.34, "end": 2681.7, "word": " كانت", "probability": 0.9072265625}, {"start": 2681.7, "end": 2681.84, "word": " B", "probability": 0.78564453125}, {"start": 2681.84, "end": 2682.1, "word": " زي", "probability": 0.4678955078125}, {"start": 2682.1, "end": 2682.28, "word": " نقطة", "probability": 0.8136393229166666}, {"start": 2682.28, "end": 2682.92, "word": " برايم", "probability": 0.6124674479166666}, {"start": 2682.92, "end": 2683.84, "word": " إذا", "probability": 0.780517578125}, {"start": 2683.84, "end": 2684.42, "word": " حاصل", "probability": 0.8963216145833334}, {"start": 2684.42, "end": 2684.96, "word": " درب", "probability": 0.76220703125}], "temperature": 1.0}, {"id": 100, "seek": 271509, "start": 2686.03, "end": 2715.09, "text": "اللي هو two primitive roots اللي هي مش primitive root معايا يا شباب ده نشوف كيف since R and R' are primitive roots of B then by A اللي أثبتناها", "tokens": [6027, 20292, 31439, 732, 28540, 10669, 13672, 1829, 39896, 37893, 28540, 5593, 20449, 995, 25528, 35186, 13412, 3555, 16758, 11778, 3224, 8717, 8592, 38688, 9122, 33911, 1670, 497, 293, 497, 6, 366, 28540, 10669, 295, 363, 550, 538, 316, 13672, 1829, 5551, 12984, 3555, 2655, 8315, 11296], "avg_logprob": -0.26123047682146233, "compression_ratio": 1.35, "no_speech_prob": 1.7881393432617188e-07, "words": [{"start": 2686.03, "end": 2686.35, "word": "اللي", "probability": 0.6796875}, {"start": 2686.35, "end": 2686.51, "word": " هو", "probability": 0.8818359375}, {"start": 2686.51, "end": 2686.73, "word": " two", "probability": 0.60009765625}, {"start": 2686.73, "end": 2687.15, "word": " primitive", "probability": 0.814453125}, {"start": 2687.15, "end": 2687.67, "word": " roots", "probability": 0.91845703125}, {"start": 2687.67, "end": 2687.95, "word": " اللي", "probability": 0.59246826171875}, {"start": 2687.95, "end": 2688.17, "word": " هي", "probability": 0.6181640625}, {"start": 2688.17, "end": 2688.41, "word": " مش", "probability": 0.978515625}, {"start": 2688.41, "end": 2688.81, "word": " primitive", "probability": 0.9384765625}, {"start": 2688.81, "end": 2689.43, "word": " root", "probability": 0.77392578125}, {"start": 2689.43, "end": 2692.01, "word": " معايا", "probability": 0.8802083333333334}, {"start": 2692.01, "end": 2692.19, "word": " يا", "probability": 0.509765625}, {"start": 2692.19, "end": 2692.37, "word": " شباب", "probability": 0.9840494791666666}, {"start": 2692.37, "end": 2692.59, "word": " ده", "probability": 0.55517578125}, {"start": 2692.59, "end": 2692.85, "word": " نشوف", "probability": 0.9440104166666666}, {"start": 2692.85, "end": 2693.13, "word": " كيف", "probability": 0.973876953125}, {"start": 2693.13, "end": 2698.41, "word": " since", "probability": 0.49609375}, {"start": 2698.41, "end": 2700.43, "word": " R", "probability": 0.7099609375}, {"start": 2700.43, "end": 2701.47, "word": " and", "probability": 0.85693359375}, {"start": 2701.47, "end": 2701.91, "word": " R'", "probability": 0.96630859375}, {"start": 2702.43, "end": 2703.49, "word": " are", "probability": 0.6318359375}, {"start": 2703.49, "end": 2705.19, "word": " primitive", "probability": 0.76171875}, {"start": 2705.19, "end": 2708.49, "word": " roots", "probability": 0.87060546875}, {"start": 2708.49, "end": 2709.75, "word": " of", "probability": 0.97119140625}, {"start": 2709.75, "end": 2710.57, "word": " B", "probability": 0.9091796875}, {"start": 2710.57, "end": 2711.93, "word": " then", "probability": 0.74365234375}, {"start": 2711.93, "end": 2712.93, "word": " by", "probability": 0.8818359375}, {"start": 2712.93, "end": 2713.63, "word": " A", "probability": 0.84423828125}, {"start": 2713.63, "end": 2714.33, "word": " اللي", "probability": 0.625}, {"start": 2714.33, "end": 2715.09, "word": " أثبتناها", "probability": 0.9597981770833334}], "temperature": 1.0}, {"id": 101, "seek": 274008, "start": 2715.86, "end": 2740.08, "text": "اللي هو R أس بي ماينس واحد على اتنين تطابق ناقص واحد modulo بي and R prime أس بي ماينس واحد على اتنين برضه الشمالها تطابق ناقص واحد modulo بي together دروبهم مع بعض", "tokens": [6027, 20292, 31439, 497, 5551, 3794, 4724, 1829, 19446, 9957, 3794, 36764, 24401, 15844, 1975, 2655, 1863, 9957, 6055, 9566, 16758, 4587, 8717, 995, 4587, 9381, 36764, 24401, 1072, 13455, 4724, 1829, 293, 497, 5835, 5551, 3794, 4724, 1829, 19446, 9957, 3794, 36764, 24401, 15844, 1975, 2655, 1863, 9957, 4724, 43042, 3224, 25124, 2304, 6027, 11296, 6055, 9566, 16758, 4587, 8717, 995, 4587, 9381, 36764, 24401, 1072, 13455, 4724, 1829, 1214, 11778, 32887, 3555, 16095, 20449, 45030, 11242], "avg_logprob": -0.24070411015160476, "compression_ratio": 1.8027210884353742, "no_speech_prob": 2.6226043701171875e-06, "words": [{"start": 2715.86, "end": 2716.14, "word": "اللي", "probability": 0.6546630859375}, {"start": 2716.14, "end": 2716.48, "word": " هو", "probability": 0.9521484375}, {"start": 2716.48, "end": 2717.36, "word": " R", "probability": 0.428466796875}, {"start": 2717.36, "end": 2717.7, "word": " أس", "probability": 0.3878173828125}, {"start": 2717.7, "end": 2717.98, "word": " بي", "probability": 0.6512451171875}, {"start": 2717.98, "end": 2718.4, "word": " ماينس", "probability": 0.6788736979166666}, {"start": 2718.4, "end": 2718.86, "word": " واحد", "probability": 0.98779296875}, {"start": 2718.86, "end": 2719.06, "word": " على", "probability": 0.57958984375}, {"start": 2719.06, "end": 2719.72, "word": " اتنين", "probability": 0.9276123046875}, {"start": 2719.72, "end": 2720.7, "word": " تطابق", "probability": 0.9324951171875}, {"start": 2720.7, "end": 2721.16, "word": " ناقص", "probability": 0.87890625}, {"start": 2721.16, "end": 2721.66, "word": " واحد", "probability": 0.989990234375}, {"start": 2721.66, "end": 2722.2, "word": " modulo", "probability": 0.7998046875}, {"start": 2722.2, "end": 2723.32, "word": " بي", "probability": 0.63720703125}, {"start": 2723.32, "end": 2724.3, "word": " and", "probability": 0.712890625}, {"start": 2724.3, "end": 2726.32, "word": " R", "probability": 0.9443359375}, {"start": 2726.32, "end": 2727.42, "word": " prime", "probability": 0.48486328125}, {"start": 2727.42, "end": 2728.3, "word": " أس", "probability": 0.923095703125}, {"start": 2728.3, "end": 2728.48, "word": " بي", "probability": 0.987548828125}, {"start": 2728.48, "end": 2728.8, "word": " ماينس", "probability": 0.96630859375}, {"start": 2728.8, "end": 2729.1, "word": " واحد", "probability": 0.992919921875}, {"start": 2729.1, "end": 2729.28, "word": " على", "probability": 0.8642578125}, {"start": 2729.28, "end": 2729.78, "word": " اتنين", "probability": 0.9755859375}, {"start": 2729.78, "end": 2730.36, "word": " برضه", "probability": 0.9381510416666666}, {"start": 2730.36, "end": 2731.14, "word": " الشمالها", "probability": 0.689453125}, {"start": 2731.14, "end": 2732.16, "word": " تطابق", "probability": 0.979736328125}, {"start": 2732.16, "end": 2732.66, "word": " ناقص", "probability": 0.995361328125}, {"start": 2732.66, "end": 2733.26, "word": " واحد", "probability": 0.995849609375}, {"start": 2733.26, "end": 2734.04, "word": " modulo", "probability": 0.953369140625}, {"start": 2734.04, "end": 2734.86, "word": " بي", "probability": 0.92041015625}, {"start": 2734.86, "end": 2735.82, "word": " together", "probability": 0.60546875}, {"start": 2735.82, "end": 2739.46, "word": " دروبهم", "probability": 0.5911712646484375}, {"start": 2739.46, "end": 2739.62, "word": " مع", "probability": 0.2415771484375}, {"start": 2739.62, "end": 2740.08, "word": " بعض", "probability": 0.991455078125}], "temperature": 1.0}, {"id": 102, "seek": 276441, "start": 2740.87, "end": 2764.41, "text": "أضرب التلتين بيصير R في R' أُس P مالنس واحد على اتنين تطابق الناقص واحد في الناقص واحد اللي هو واحد modulo P إذا صار عندي but أو hence hence", "tokens": [10721, 11242, 25513, 16712, 1211, 2655, 9957, 4724, 1829, 9381, 13546, 497, 8978, 497, 6, 5551, 10859, 3794, 430, 3714, 6027, 1863, 3794, 36764, 24401, 15844, 1975, 2655, 1863, 9957, 6055, 9566, 16758, 4587, 2423, 8315, 4587, 9381, 36764, 24401, 8978, 2423, 8315, 4587, 9381, 36764, 24401, 13672, 1829, 31439, 36764, 24401, 1072, 13455, 430, 11933, 15730, 20328, 9640, 43242, 1829, 457, 34051, 16678, 16678], "avg_logprob": -0.2843276501605005, "compression_ratio": 1.4836601307189543, "no_speech_prob": 5.960464477539062e-07, "words": [{"start": 2740.87, "end": 2741.29, "word": "أضرب", "probability": 0.6304524739583334}, {"start": 2741.29, "end": 2741.79, "word": " التلتين", "probability": 0.70977783203125}, {"start": 2741.79, "end": 2742.21, "word": " بيصير", "probability": 0.9210205078125}, {"start": 2742.21, "end": 2743.09, "word": " R", "probability": 0.55029296875}, {"start": 2743.09, "end": 2743.99, "word": " في", "probability": 0.389404296875}, {"start": 2743.99, "end": 2744.37, "word": " R'", "probability": 0.8271484375}, {"start": 2745.05, "end": 2746.09, "word": " أُس", "probability": 0.524169921875}, {"start": 2746.09, "end": 2746.33, "word": " P", "probability": 0.318603515625}, {"start": 2746.33, "end": 2746.83, "word": " مالنس", "probability": 0.6177520751953125}, {"start": 2746.83, "end": 2747.31, "word": " واحد", "probability": 0.992919921875}, {"start": 2747.31, "end": 2747.53, "word": " على", "probability": 0.7841796875}, {"start": 2747.53, "end": 2748.19, "word": " اتنين", "probability": 0.8575439453125}, {"start": 2748.19, "end": 2749.33, "word": " تطابق", "probability": 0.9658203125}, {"start": 2749.33, "end": 2749.91, "word": " الناقص", "probability": 0.806640625}, {"start": 2749.91, "end": 2750.25, "word": " واحد", "probability": 0.983154296875}, {"start": 2750.25, "end": 2750.39, "word": " في", "probability": 0.9248046875}, {"start": 2750.39, "end": 2750.85, "word": " الناقص", "probability": 0.9677734375}, {"start": 2750.85, "end": 2751.29, "word": " واحد", "probability": 0.99072265625}, {"start": 2751.29, "end": 2751.43, "word": " اللي", "probability": 0.842041015625}, {"start": 2751.43, "end": 2751.65, "word": " هو", "probability": 0.9912109375}, {"start": 2751.65, "end": 2752.45, "word": " واحد", "probability": 0.981689453125}, {"start": 2752.45, "end": 2754.11, "word": " modulo", "probability": 0.6026611328125}, {"start": 2754.11, "end": 2755.19, "word": " P", "probability": 0.54345703125}, {"start": 2755.19, "end": 2757.03, "word": " إذا", "probability": 0.8671875}, {"start": 2757.03, "end": 2757.39, "word": " صار", "probability": 0.908447265625}, {"start": 2757.39, "end": 2758.99, "word": " عندي", "probability": 0.6092529296875}, {"start": 2758.99, "end": 2759.51, "word": " but", "probability": 0.75244140625}, {"start": 2759.51, "end": 2761.83, "word": " أو", "probability": 0.8017578125}, {"start": 2761.83, "end": 2762.37, "word": " hence", "probability": 0.88671875}, {"start": 2762.37, "end": 2764.41, "word": " hence", "probability": 0.6640625}], "temperature": 1.0}, {"id": 103, "seek": 277705, "start": 2765.59, "end": 2777.05, "text": "هيكون الـ order للـ R فـ R' modulo B أصغر أو يساوي B-1 على 2", "tokens": [3224, 1829, 30544, 2423, 39184, 1668, 24976, 39184, 497, 6156, 39184, 497, 6, 1072, 13455, 363, 5551, 9381, 17082, 2288, 34051, 7251, 3794, 995, 45865, 363, 12, 16, 15844, 568], "avg_logprob": -0.4067540264898731, "compression_ratio": 0.9775280898876404, "no_speech_prob": 5.364418029785156e-07, "words": [{"start": 2765.59, "end": 2766.15, "word": "هيكون", "probability": 0.7455240885416666}, {"start": 2766.15, "end": 2766.43, "word": " الـ", "probability": 0.55419921875}, {"start": 2766.43, "end": 2766.81, "word": " order", "probability": 0.5888671875}, {"start": 2766.81, "end": 2767.29, "word": " للـ", "probability": 0.650146484375}, {"start": 2767.29, "end": 2767.55, "word": " R", "probability": 0.28759765625}, {"start": 2767.55, "end": 2767.81, "word": " فـ", "probability": 0.4998779296875}, {"start": 2767.81, "end": 2768.11, "word": " R'", "probability": 0.8505859375}, {"start": 2769.21, "end": 2770.57, "word": " modulo", "probability": 0.6297607421875}, {"start": 2770.57, "end": 2770.97, "word": " B", "probability": 0.5224609375}, {"start": 2770.97, "end": 2772.87, "word": " أصغر", "probability": 0.9354248046875}, {"start": 2772.87, "end": 2773.11, "word": " أو", "probability": 0.880859375}, {"start": 2773.11, "end": 2773.79, "word": " يساوي", "probability": 0.89111328125}, {"start": 2773.79, "end": 2774.09, "word": " B", "probability": 0.337890625}, {"start": 2774.09, "end": 2775.01, "word": "-1", "probability": 0.4300537109375}, {"start": 2775.01, "end": 2775.25, "word": " على", "probability": 0.375732421875}, {"start": 2775.25, "end": 2777.05, "word": " 2", "probability": 0.61669921875}], "temperature": 1.0}, {"id": 104, "seek": 280377, "start": 2780.71, "end": 2803.77, "text": "وهذا طبعا strictly أصغر من مين من ال B-1 اللي هو Phi of B-1 يعني صار ال order لل R في R' modulo B لا يساوي ال Phi of B-1 وهذا يعني hence R في R' is not a primitive", "tokens": [2407, 3224, 15730, 23032, 3555, 3615, 995, 20792, 5551, 9381, 17082, 2288, 9154, 3714, 9957, 9154, 2423, 363, 12, 16, 13672, 1829, 31439, 41435, 295, 363, 12, 16, 37495, 22653, 20328, 9640, 2423, 1668, 24976, 497, 8978, 497, 6, 1072, 13455, 363, 20193, 7251, 3794, 995, 45865, 2423, 41435, 295, 363, 12, 16, 37037, 15730, 37495, 22653, 16678, 497, 8978, 497, 6, 307, 406, 257, 28540], "avg_logprob": -0.2733208990808743, "compression_ratio": 1.353658536585366, "no_speech_prob": 2.7418136596679688e-06, "words": [{"start": 2780.71, "end": 2781.33, "word": "وهذا", "probability": 0.828125}, {"start": 2781.33, "end": 2781.67, "word": " طبعا", "probability": 0.81475830078125}, {"start": 2781.67, "end": 2782.39, "word": " strictly", "probability": 0.57861328125}, {"start": 2782.39, "end": 2782.91, "word": " أصغر", "probability": 0.9581298828125}, {"start": 2782.91, "end": 2783.13, "word": " من", "probability": 0.9833984375}, {"start": 2783.13, "end": 2783.59, "word": " مين", "probability": 0.6781005859375}, {"start": 2783.59, "end": 2784.33, "word": " من", "probability": 0.673828125}, {"start": 2784.33, "end": 2784.53, "word": " ال", "probability": 0.437255859375}, {"start": 2784.53, "end": 2784.63, "word": " B", "probability": 0.14306640625}, {"start": 2784.63, "end": 2785.19, "word": "-1", "probability": 0.564453125}, {"start": 2785.19, "end": 2785.41, "word": " اللي", "probability": 0.767578125}, {"start": 2785.41, "end": 2785.63, "word": " هو", "probability": 0.97998046875}, {"start": 2785.63, "end": 2785.87, "word": " Phi", "probability": 0.426513671875}, {"start": 2785.87, "end": 2786.97, "word": " of", "probability": 0.828125}, {"start": 2786.97, "end": 2787.33, "word": " B", "probability": 0.94580078125}, {"start": 2787.33, "end": 2788.21, "word": "-1", "probability": 0.7197265625}, {"start": 2788.21, "end": 2788.53, "word": " يعني", "probability": 0.912353515625}, {"start": 2788.53, "end": 2788.89, "word": " صار", "probability": 0.59844970703125}, {"start": 2788.89, "end": 2789.05, "word": " ال", "probability": 0.8876953125}, {"start": 2789.05, "end": 2789.49, "word": " order", "probability": 0.94140625}, {"start": 2789.49, "end": 2789.73, "word": " لل", "probability": 0.376953125}, {"start": 2789.73, "end": 2789.99, "word": " R", "probability": 0.52685546875}, {"start": 2789.99, "end": 2790.11, "word": " في", "probability": 0.6767578125}, {"start": 2790.11, "end": 2790.37, "word": " R'", "probability": 0.59375}, {"start": 2790.71, "end": 2791.09, "word": " modulo", "probability": 0.6654052734375}, {"start": 2791.09, "end": 2791.41, "word": " B", "probability": 0.91455078125}, {"start": 2791.41, "end": 2792.27, "word": " لا", "probability": 0.70556640625}, {"start": 2792.27, "end": 2792.81, "word": " يساوي", "probability": 0.898681640625}, {"start": 2792.81, "end": 2792.97, "word": " ال", "probability": 0.434326171875}, {"start": 2792.97, "end": 2793.19, "word": " Phi", "probability": 0.9482421875}, {"start": 2793.19, "end": 2793.43, "word": " of", "probability": 0.95166015625}, {"start": 2793.43, "end": 2793.61, "word": " B", "probability": 0.98291015625}, {"start": 2793.61, "end": 2794.55, "word": "-1", "probability": 0.91845703125}, {"start": 2794.55, "end": 2795.61, "word": " وهذا", "probability": 0.859130859375}, {"start": 2795.61, "end": 2796.47, "word": " يعني", "probability": 0.9794921875}, {"start": 2796.47, "end": 2797.13, "word": " hence", "probability": 0.54443359375}, {"start": 2797.13, "end": 2799.73, "word": " R", "probability": 0.79296875}, {"start": 2799.73, "end": 2799.89, "word": " في", "probability": 0.85791015625}, {"start": 2799.89, "end": 2800.13, "word": " R'", "probability": 0.99365234375}, {"start": 2800.47, "end": 2800.97, "word": " is", "probability": 0.876953125}, {"start": 2800.97, "end": 2801.87, "word": " not", "probability": 0.96435546875}, {"start": 2801.87, "end": 2803.11, "word": " a", "probability": 0.9404296875}, {"start": 2803.11, "end": 2803.77, "word": " primitive", "probability": 0.90087890625}], "temperature": 1.0}, {"id": 105, "seek": 282181, "start": 2807.77, "end": 2821.81, "text": "Root modulo of B is not primitive root of B و إلى لقاء آخر", "tokens": [49, 6259, 1072, 13455, 295, 363, 307, 406, 28540, 5593, 295, 363, 4032, 30731, 5296, 4587, 16606, 19753, 34740], "avg_logprob": -0.4789062350988388, "compression_ratio": 0.971830985915493, "no_speech_prob": 0.0, "words": [{"start": 2807.77, "end": 2809.17, "word": "Root", "probability": 0.5537109375}, {"start": 2809.17, "end": 2810.57, "word": " modulo", "probability": 0.76708984375}, {"start": 2810.57, "end": 2811.23, "word": " of", "probability": 0.43603515625}, {"start": 2811.23, "end": 2813.05, "word": " B", "probability": 0.497314453125}, {"start": 2813.05, "end": 2813.81, "word": " is", "probability": 0.1505126953125}, {"start": 2813.81, "end": 2814.15, "word": " not", "probability": 0.94140625}, {"start": 2814.15, "end": 2814.83, "word": " primitive", "probability": 0.201904296875}, {"start": 2814.83, "end": 2815.61, "word": " root", "probability": 0.76904296875}, {"start": 2815.61, "end": 2817.21, "word": " of", "probability": 0.8837890625}, {"start": 2817.21, "end": 2818.07, "word": " B", "probability": 0.91357421875}, {"start": 2818.07, "end": 2820.31, "word": " و", "probability": 0.68212890625}, {"start": 2820.31, "end": 2820.65, "word": " إلى", "probability": 0.5419921875}, {"start": 2820.65, "end": 2821.29, "word": " لقاء", "probability": 0.9708658854166666}, {"start": 2821.29, "end": 2821.81, "word": " آخر", "probability": 0.9365234375}], "temperature": 1.0}], "language": "ar", "language_probability": 1.0, "duration": 2822.1765, "duration_after_vad": 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\ No newline at end of file