solution
sequence
coefficients
sequence
discriminant
int64
-396
297
__index_level_0__
int64
0
100k
[ 8, 5 ]
[ 3, -39, 126 ]
9
30,608
[ 33 ]
[ -1, 66, -1089 ]
0
83,379
[ null ]
[ -42, 85, -44 ]
-167
69,006
[ 1, -2 ]
[ 59, 59, 14 ]
177
52,955
[ null ]
[ -54, -87, -36 ]
-207
76,862
[ -40, -41 ]
[ 1, 81, 1640 ]
1
8,803
[ 0 ]
[ 91, 0, 0 ]
0
57,297
[ 1 ]
[ -28, 56, -28 ]
0
73,119
[ 23 ]
[ 1, -46, 529 ]
0
25,067
[ -1, -4 ]
[ 3, 15, 18 ]
9
3,032
[ 0 ]
[ -66, 0, 0 ]
0
37,594
[ 23 ]
[ -1, 46, -529 ]
0
54,239
[ null ]
[ -21, -25, -8 ]
-47
33,928
[ -19, -20 ]
[ 1, 39, 380 ]
1
34,093
[ null ]
[ -88, -72, -15 ]
-96
28,085
[ 9 ]
[ 4, -72, 324 ]
0
98,519
[ 2 ]
[ 2, -8, 8 ]
0
62,326
[ null ]
[ -74, -3, -1 ]
-287
91,952
[ -9, -10 ]
[ 1, 19, 90 ]
1
2,431
[ 2 ]
[ -18, 72, -72 ]
0
21,485
[ 7, 6 ]
[ 1, -13, 42 ]
1
5,291
[ null ]
[ -92, -14, -1 ]
-172
65,055
[ null ]
[ -30, -87, -64 ]
-111
84,127
[ null ]
[ -95, 58, -9 ]
-56
24,096
[ 1, -2 ]
[ 11, 11, 2 ]
33
8,800
[ 9 ]
[ 4, -72, 324 ]
0
20,628
[ null ]
[ -20, 56, -40 ]
-64
94,138
[ 37 ]
[ -1, 74, -1369 ]
0
98,510
[ -8, -11 ]
[ 3, 57, 270 ]
9
6,271
[ null ]
[ -78, 9, -1 ]
-231
48,963
[ null ]
[ -55, 77, -27 ]
-11
4,625
[ 2, -1 ]
[ 23, -23, 5 ]
69
82,452
[ null ]
[ -13, -93, -167 ]
-35
20,829
[ 0, -1 ]
[ 41, 41, 10 ]
41
47,746
[ 3, 0 ]
[ 27, -81, 60 ]
81
65,201
[ null ]
[ -43, -60, -21 ]
-12
86,052
[ -2, -3 ]
[ 1, 5, 6 ]
1
47,382
[ null ]
[ -89, 87, -22 ]
-263
98,843
[ 2, -1 ]
[ 19, -19, 4 ]
57
92,741
[ -3 ]
[ -10, -60, -90 ]
0
3,309
[ 4, 3 ]
[ 9, -63, 110 ]
9
69,925
[ -5 ]
[ 7, 70, 175 ]
0
75,870
[ -1, -2 ]
[ 33, 99, 74 ]
33
66,942
[ 41 ]
[ -1, 82, -1681 ]
0
76,594
[ null ]
[ -32, -100, -79 ]
-112
50,162
[ 14, 11 ]
[ 3, -75, 468 ]
9
80,553
[ 1, 0 ]
[ 21, -21, 5 ]
21
68,081
[ 0, -1 ]
[ 53, 53, 13 ]
53
19,570
[ 2 ]
[ -4, 16, -16 ]
0
46,328
[ 0 ]
[ 91, 0, 0 ]
0
97,531
[ 3 ]
[ -14, 84, -126 ]
0
26,034
[ 27 ]
[ 1, -54, 729 ]
0
53,273
[ null ]
[ -88, 45, -6 ]
-87
19,413
[ 1, 0 ]
[ 93, -93, 23 ]
93
40,405
[ 1 ]
[ 28, -56, 28 ]
0
79,318
[ null ]
[ -86, -4, -1 ]
-328
55,742
[ 1, 0 ]
[ 49, -49, 12 ]
49
47,887
[ 4, 1 ]
[ 7, -35, 43 ]
21
25,767
[ 46, 45 ]
[ 1, -91, 2070 ]
1
55,321
[ null ]
[ -57, 84, -31 ]
-12
95,726
[ 49, 48 ]
[ 1, -97, 2352 ]
1
77,438
[ 42, 41 ]
[ 1, -83, 1722 ]
1
32,674
[ 5 ]
[ 10, -100, 250 ]
0
41,551
[ 4, 1 ]
[ 7, -35, 43 ]
21
98,307
[ null ]
[ -80, 88, -25 ]
-256
5,921
[ -1 ]
[ -50, -100, -50 ]
0
82,260
[ -36 ]
[ 1, 72, 1296 ]
0
3,374
[ -3, -4 ]
[ 9, 63, 110 ]
9
93,414
[ 13 ]
[ -2, 52, -338 ]
0
11,107
[ 0 ]
[ 16, 0, 0 ]
0
55,381
[ 2, -1 ]
[ 23, -23, 5 ]
69
55,816
[ -16 ]
[ -3, -96, -768 ]
0
11,747
[ 13, 10 ]
[ 3, -69, 396 ]
9
90,462
[ null ]
[ -56, 21, -2 ]
-7
85,944
[ 3, 0 ]
[ 31, -93, 69 ]
93
10,288
[ null ]
[ -66, 73, -21 ]
-215
79,905
[ 0 ]
[ -61, 0, 0 ]
0
24,700
[ 1, -2 ]
[ 75, 75, 18 ]
225
14,215
[ 6 ]
[ 7, -84, 252 ]
0
16,461
[ 2, -1 ]
[ 31, -31, 7 ]
93
55,714
[ 38, 37 ]
[ 1, -75, 1406 ]
1
78,263
[ 0, -1 ]
[ 69, 69, 17 ]
69
75,649
[ 0, -3 ]
[ 7, 21, 15 ]
21
42,684
[ -4, -5 ]
[ 1, 9, 20 ]
1
74,511
[ null ]
[ -44, 4, -1 ]
-160
53,066
[ 8, 7 ]
[ 1, -15, 56 ]
1
64,857
[ 1, 0 ]
[ 9, -9, 2 ]
9
27,635
[ -22 ]
[ 2, 88, 968 ]
0
65,804
[ 8 ]
[ 3, -48, 192 ]
0
44,172
[ -1 ]
[ -46, -92, -46 ]
0
49,919
[ 2, -1 ]
[ 31, -31, 7 ]
93
70,935
[ 1, -2 ]
[ 75, 75, 18 ]
225
70,815
[ 47, 46 ]
[ 1, -93, 2162 ]
1
27,108
[ -42, -43 ]
[ 1, 85, 1806 ]
1
99,304
[ 32, 31 ]
[ 1, -63, 992 ]
1
8,117
[ 8 ]
[ 4, -64, 256 ]
0
57,767
[ -3, -4 ]
[ 9, 63, 110 ]
9
72,663
[ -49, -50 ]
[ 1, 99, 2450 ]
1
26,919
[ 43, 42 ]
[ 1, -85, 1806 ]
1
98,405
[ 1, -2 ]
[ 3, 3, 0 ]
9
11,014