  ***   Warning: new stack size = 25000000 (23.842 Mbytes).
group = C1
[1]
[1]
[x, 1]
x
[x]
1
[x]
[x]
group = C2
[3043, 3043]
[3043, 3043]
[x, 5]
x
6086
5
[x^2 - x - 1]
[x^2 - x - 1]
group = C3
[15851, 0]
[15851, 0]
[x, 7]
x
15851
49
[x^3 - x^2 - 2*x + 1]
[x^3 - x^2 - 2*x + 1]
group = S3
[366, 1520]
[366, 1520]
[x^2 - x - 555, 2]
x^2 - x - 555
[x^3 - x^2 - 27*x + 61]
8884
[x^3 - x^2 - 27*x + 61, x^3 - x^2 - 12*x + 44]
[x^3 - x^2 - 27*x + 61]
group = C4
[586, 0, 582]
[586, 0, 582]
[x^2 - x - 1, [15, 6; 0, 3]]
x^2 - x - 1
456
1125
[x^4 - 30*x^2 + 45]
[x^4 - 30*x^2 + 45]
group = V4
[3603, 0, 13076]
[3603, 0, 13076]
[x^2 - 10, 1]
[x^2 - 10, x^2 - x - 1, x^2 - 2]
232
1600
[x^4 - 26*x^2 + 9, x^4 + 96*x^2 + 1024]
[x^4 - 90*x^2 + 1225]
group = D4
[1, 6, 17]
[1, 6, 17]
[x^2 - x - 1, [29, 5; 0, 1]]
x^2 - x - 1
[x^4 - x^3 - 3*x^2 + x + 1, x^4 - x^3 + 2*x - 1, x^4 - x^2 - 1, x^4 - 2*x^3 
+ 2*x^2 - x - 1, x^4 - x^3 - 3*x - 1]
725
[x^4 - 11*x^2 + 29]
[x^4 - 11*x^2 + 29]
group = A4
[4, 0, 23]
[4, 0, 23]
[x^3 - x^2 - 10*x + 8, 8]
[x^3 - x^2 - 10*x + 8, 8]
[x^4 + 7*x^2 - 2*x + 14, x^4 - 6*x^2 - 8*x + 28, x^4 - 2*x^3 - 7*x^2 + 6*x +
 11]
61504
[x^4 - 6*x^2 - 8*x + 28, x^4 - 2*x^3 - 7*x^2 + 6*x + 11]
[x^4 - 6*x^2 - 8*x + 28, x^4 - 2*x^3 - 7*x^2 + 6*x + 11]
group = S4
[7, 219, 140]
[7, 219, 140]
[x^3 - x^2 - 14*x + 23, 1]
[x^3 - x^2 - 14*x + 23, 1]
[x^4 - 26*x^2 - 8*x + 1]
2777
[x^4 - 26*x^2 - 8*x + 1]
[x^4 - 26*x^2 - 8*x + 1]
group = C5
[21, 0, 0]
[21, 0, 0]
[x, 11]
x
21
14641
[x^5 - x^4 - 4*x^3 + 3*x^2 + 3*x - 1]
[x^5 - x^4 - 4*x^3 + 3*x^2 + 3*x - 1]
group = D5
[0, 0, 2]
[0, 0, 2]
[x^2 - x + 12, 1]
[x^2 - x + 12, 1]
[x^5 - 2*x^4 + 2*x^3 - x^2 + 1]
2209
[x^5 - 2*x^4 + 2*x^3 - x^2 + 1]
[x^5 - 2*x^4 + 2*x^3 - x^2 + 1]
group = F5
[0, 0, 4]
[0, 0, 4]
[x^4 - x^3 + x^2 - x + 1, [10, 0, 2, 6; 0, 10, 4, 4; 0, 0, 2, 0; 0, 0, 0, 2]
]
[x^4 - x^3 + x^2 - x + 1, [10, 0, 2, 6; 0, 10, 4, 4; 0, 0, 2, 0; 0, 0, 0, 2]
]
[x^5 - 2, x^5 + 5*x^3 + 5*x - 1]
50000
[x^5 - 2]
[x^5 - 2]
group = C6
[203, 0, 0, 236]
[203, 0, 0, 236]
[x^2 - 2, 7]
[x^2 - 2, x^3 - x^2 - 2*x + 1]
[x^6 + 2*x^5 - 9*x^4 - 14*x^3 + 10*x^2 + 8*x + 1, x^6 - 12*x^4 - 2*x^3 + 21*
x^2 - 6*x - 1, x^6 + 2*x^5 - 13*x^4 - 14*x^3 + 26*x^2 + 28*x + 1, x^6 + 2*x^
5 - 17*x^4 - 34*x^3 + 30*x^2 + 32*x - 7, x^6 + 2*x^5 - 25*x^4 - 44*x^3 + 92*
x^2 + 112*x - 92, x^6 + 2*x^5 - 29*x^4 - 10*x^3 + 174*x^2 - 76*x - 31, x^6 +
 2*x^5 - 33*x^4 - 20*x^3 + 220*x^2 - 64*x - 188, x^6 + 2*x^5 - 45*x^4 - 66*x
^3 + 390*x^2 + 340*x - 599, x^6 - 48*x^4 + 70*x^3 + 453*x^2 - 1050*x + 503, 
x^6 - 48*x^4 - 56*x^3 + 453*x^2 + 840*x + 62]
1229312
[x^6 + 2*x^5 - 9*x^4 - 14*x^3 + 10*x^2 + 8*x + 1, x^6 + 2*x^5 + 3*x^4 + 2*x^
3 + 18*x^2 + 16*x + 41, x^6 + 2*x^5 - 9*x^4 - 14*x^3 + 10*x^2 + 8*x + 1, x^6
 + 2*x^5 + 3*x^4 + 2*x^3 + 18*x^2 + 16*x + 41]
[x^6 + 2*x^5 - 9*x^4 - 14*x^3 + 10*x^2 + 8*x + 1, x^6 + 2*x^5 + 3*x^4 + 2*x^
3 + 18*x^2 + 16*x + 41]
group = [6, 2]
[16, 0, 0, 91]
[16, 0, 0, 91]
[x^3 - 11*x - 11, [17, 14, 1; 0, 1, 0; 0, 0, 1]]
[x^3 - 11*x - 11, x^3 - 11*x - 11, x^3 - 11*x - 11, x^2 - x - 4]
[x^6 - 73*x^4 + 22*x^3 + 988*x^2 + 880*x - 491]
71931233
[x^6 - 3*x^5 - 5*x^4 + 15*x^3 - 5*x^2 - 3*x + 1]
[x^6 - 3*x^5 - 5*x^4 + 15*x^3 - 5*x^2 - 3*x + 1]
group = [6, 3]
[0, 0, 3, 12]
[0, 0, 3, 12]
[x^2 - x - 1, 7]
[x^2 - x - 1, x^3 + 2*x - 2]
[x^6 - x^5 - 2*x^4 + 5*x^3 - 2*x^2 - x + 1, x^6 - x^3 - 1, x^6 - x^5 - x^4 +
 4*x^3 + 3*x^2 - 1]
98000
[x^6 - x^5 - 2*x^4 + 5*x^3 - 2*x^2 - x + 1]
[x^6 - x^5 - 2*x^4 + 5*x^3 - 2*x^2 - x + 1]
group = [6, 4]
[0, 0, 13, 0]
[0, 0, 13, 0]
[x^3 - x^2 - 2*x + 1, [4, [0, 1, 1]]]
x^3 - x^2 - 2*x + 1
[x^6 + x^4 - 2*x^2 - 1, x^6 - x^5 - 2*x^4 + x^3 - 7, x^6 - x^5 + 3*x^4 + 7*x
^3 - 9*x^2 + 19*x - 13, x^6 - 2*x^5 + 8*x^4 + 3*x^3 - 4*x^2 + 31*x - 29, x^6
 - 2*x^5 - x^4 + x^3 - 14*x^2 + 28*x - 56]
153664
[x^6 + x^4 - 2*x^2 - 1]
[x^6 + x^4 - 2*x^2 - 1]
group = [6, 5]
[0, 0, 0, 7]
[0, 0, 0, 7]
[x^2 - x + 1, [26, 18; 0, 2]]
x^2 - x + 1
[x^6 - x^5 - 4*x^4 + 3*x^3 + 6*x^2 - 5*x + 1, x^6 - x^5 + x^4 - 2*x^3 + 4*x^
2 - 3*x + 1, x^6 - 3*x^5 + 4*x^4 - x^3 - 2*x^2 + x + 1, x^6 - 3*x^5 + 4*x^4 
- 2*x^3 - 2*x^2 + 2*x + 1]
73008
[x^6 - x^5 - 4*x^4 + 3*x^3 + 6*x^2 - 5*x + 1]
[x^6 - x^5 - 4*x^4 + 3*x^3 + 6*x^2 - 5*x + 1]
group = [6, 6]
[3, 21, 20, 0]
[3, 21, 20, 0]
[x^3 - x^2 - 2*x + 1, [181, 37, 43; 0, 1, 0; 0, 0, 1]]
x^3 - x^2 - 2*x + 1
28
434581
[x^6 - 2*x^5 - 4*x^4 + 5*x^3 + 4*x^2 - 2*x - 1]
[x^6 - 2*x^5 - 4*x^4 + 5*x^3 + 4*x^2 - 2*x - 1]
group = [6, 7]
[0, 0, 6, 0]
[0, 0, 6, 0]
[x^3 - 4*x - 1, [1, [1, 1, 0]]]
x^3 - 4*x - 1
[x^6 - x^4 - x^3 - x^2 + 1]
52441
[x^6 - x^4 - x^3 - x^2 + 1]
[x^6 - x^4 - x^3 - x^2 + 1]
group = [6, 8]
[0, 0, 1, 11]
[0, 0, 1, 11]
[x^3 - x^2 - 3*x + 1, [[37, 33, 27; 0, 1, 0; 0, 0, 1], [0, 1, 1]]]
x^3 - x^2 - 3*x + 1
[x^6 - 3*x^5 + 6*x^4 - 7*x^3 + 2*x^2 + x - 1]
810448
[x^6 - 3*x^5 + 6*x^4 - 7*x^3 + 2*x^2 + x - 1]
[x^6 - 3*x^5 + 6*x^4 - 7*x^3 + 2*x^2 + x - 1]
group = [6, 9]
[0, 0, 1, 1]
[0, 0, 1, 1]
[x^3 + 12*x^2 + 576*x + 34560, 1]
[x^3 + 12*x^2 + 576*x + 34560, x^3 + 12*x^2 + 576*x - 41472]
[x^6 - 2*x^5 + 2*x^4 - 4*x^3 + 2*x^2 - 4*x + 1]
242000
[x^6 - 2*x^5 + 2*x^4 - 4*x^3 + 2*x^2 - 4*x + 1]
[x^6 - 2*x^5 + 2*x^4 - 4*x^3 + 2*x^2 - 4*x + 1]
group = [6, 10]
[0, 0, 3, 0]
[0, 0, 3, 0]
[x^4 - x^3 + x^2 - x + 1, [31, 0, 1, 19; 0, 31, 12, 12; 0, 0, 1, 0; 0, 0, 0,
 1]]
x^4 - x^3 + x^2 - x + 1
[x^6 - x^5 + 4*x^4 - 2*x^3 + 6*x^2 - 5*x + 1, x^6 - x^5 + x^4 - x^3 - 4*x^2 
+ 5]
600625
[x^6 - x^5 + 4*x^4 - 2*x^3 + 6*x^2 - 5*x + 1, x^6 - x^5 + 4*x^4 - 2*x^3 + 6*
x^2 - 5*x + 1]
[x^6 - x^5 + 4*x^4 - 2*x^3 + 6*x^2 - 5*x + 1, x^6 - x^5 + 4*x^4 - 2*x^3 + 6*
x^2 - 5*x + 1]
group = [6, 11]
[0, 0, 22, 31]
[0, 0, 22, 31]
[x^3 + x - 1, [73, 54, 23; 0, 1, 0; 0, 0, 1]]
x^3 + x - 1
15
70153
[x^6 - 3*x^5 + 5*x^4 - 5*x^3 + 3*x^2 - x - 1]
[x^6 - 3*x^5 + 5*x^4 - 5*x^3 + 3*x^2 - x - 1]
group = [6, 13]
[0, 0, 1, 6]
[0, 0, 1, 6]
[x^4 - x^3 + 8*x^2 - 7*x + 19, 1]
x^4 - x^3 + 8*x^2 - 7*x + 19
[x^6 - x^5 + x^4 - 2*x^2 + x - 1]
30125
[x^6 - x^5 + x^4 - 2*x^2 + x - 1]
[x^6 - x^5 + x^4 - 2*x^2 + x - 1]
group = C7
[10, 0, 0]
[10, 0, 0]
[x, 29]
x
[x^7 - x^6 - 12*x^5 + 7*x^4 + 28*x^3 - 14*x^2 - 9*x - 1, x^7 - x^6 - 18*x^5 
+ 35*x^4 + 38*x^3 - 104*x^2 + 7*x + 49, x^7 - 21*x^5 - 21*x^4 + 91*x^3 + 112
*x^2 - 84*x - 97, x^7 - x^6 - 30*x^5 - 3*x^4 + 254*x^3 + 246*x^2 - 245*x - 1
37, x^7 - x^6 - 48*x^5 - 37*x^4 + 312*x^3 + 12*x^2 - 49*x + 1, x^7 - x^6 - 5
4*x^5 + 31*x^4 + 558*x^3 + 32*x^2 - 1713*x - 1121, x^7 - x^6 - 84*x^5 + 217*
x^4 + 1348*x^3 - 3988*x^2 - 1433*x + 1163, x^7 - x^6 - 90*x^5 - 69*x^4 + 130
6*x^3 - 124*x^2 - 5249*x + 4663, x^7 - x^6 - 102*x^5 + 195*x^4 + 1850*x^3 - 
978*x^2 - 8933*x - 5183, x^7 - x^6 - 120*x^5 + 711*x^4 - 784*x^3 - 1956*x^2 
+ 2863*x + 343]
594823321
[x^7 - 609*x^5 - 609*x^4 + 70847*x^3 - 25172*x^2 - 1321124*x - 2048647]
[x^7 - 609*x^5 - 609*x^4 + 70847*x^3 - 25172*x^2 - 1321124*x - 2048647]
group = D7
[0, 0, 0, 1]
[0, 0, 0, 1]
[x^2 - x + 18, 1]
[x^2 - x + 18, 1]
[x^7 - x^6 - x^5 + x^4 - x^3 - x^2 + 2*x + 1]
357911
[x^7 - x^6 - x^5 + x^4 - x^3 - x^2 + 2*x + 1]
[x^7 - x^6 - x^5 + x^4 - x^3 - x^2 + 2*x + 1]
group = M21
[0, 0, 0, 0]
[0, 0, 0, 0]
group = M42
[0, 0, 0, 0]
[0, 0, 0, 0]
group = C9
[2, 0, 0, 0, 0]
[2, 0, 0, 0, 0]
[x^3 - 3*x - 1, [9, 0, 0; 0, 9, 6; 0, 0, 3]]
x^3 - 3*x - 1
[x^9 - 9*x^7 + 27*x^5 - 30*x^3 + 9*x - 1]
31381059609
[x^9 - 9*x^7 + 27*x^5 - 30*x^3 + 9*x - 1]
[x^9 - 9*x^7 + 27*x^5 - 30*x^3 + 9*x - 1]
group = [9, 2]
[2, 0, 0, 0, 0]
[2, 0, 0, 0, 0]
[x^3 - 3*x - 1, 7]
[x^3 - 3*x - 1, x^3 - 21*x - 35, x^3 - x^2 - 2*x + 1, x^3 - 21*x - 28]
[x^9 - 3*x^8 - 6*x^7 + 21*x^6 + 9*x^5 - 45*x^4 - x^3 + 30*x^2 - 3, x^9 - 15*
x^7 - 4*x^6 + 54*x^5 + 12*x^4 - 38*x^3 - 9*x^2 + 6*x + 1]
62523502209
[x^9 - 15*x^7 - 4*x^6 + 54*x^5 + 12*x^4 - 38*x^3 - 9*x^2 + 6*x + 1]
[x^9 - 15*x^7 - 4*x^6 + 54*x^5 + 12*x^4 - 38*x^3 - 9*x^2 + 6*x + 1]
group = D9
[0, 0, 0, 0, 1]
[0, 0, 0, 0, 1]
[x^2 - x + 15, 2]
x^2 - x + 15
[x^9 - 3*x^8 + 4*x^7 - 5*x^6 + 6*x^5 - x^4 - 5*x^3 + 4*x^2 - 2]
775511104
[x^9 - 3*x^8 + 4*x^7 - 5*x^6 + 6*x^5 - x^4 - 5*x^3 + 4*x^2 - 2]
[x^9 - 3*x^8 + 4*x^7 - 5*x^6 + 6*x^5 - x^4 - 5*x^3 + 4*x^2 - 2]
group = C11
[1, 0, 0, 0, 0]
[1, 0, 0, 0, 0]
[x, 23]
x
[x^11 - x^10 - 10*x^9 + 9*x^8 + 36*x^7 - 28*x^6 - 56*x^5 + 35*x^4 + 35*x^3 -
 15*x^2 - 6*x + 1]
41426511213649
[x^11 - 1265*x^9 - 759*x^8 + 578358*x^7 + 587972*x^6 - 114679334*x^5 - 13750
4235*x^4 + 9167517744*x^3 + 9817582522*x^2 - 201646411164*x - 102399340451]
[x^11 - 1265*x^9 - 759*x^8 + 578358*x^7 + 587972*x^6 - 114679334*x^5 - 13750
4235*x^4 + 9167517744*x^3 + 9817582522*x^2 - 201646411164*x - 102399340451]
group = D11
[0, 0, 0, 0, 0, 0]
[0, 0, 0, 0, 0, 0]
[x^11 - 1265*x^9 - 759*x^8 + 578358*x^7 + 587972*x^6 - 114679334*x^5 - 13750
4235*x^4 + 9167517744*x^3 + 9817582522*x^2 - 201646411164*x - 102399340451]
x
x^6 - 2*x^5 + 3*x^4 - 4*x^2 + 4*x - 3
[x, 53]
[x^2 - x - 2110, 1]
[[x^2 + 1, 3], [x^2 - x + 1, 4], [x^2 - 3, [1, [1, 1]]]]
[x^3 - x^2 - 24*x + 27, 2]
[x^6 - x^5 + x^4 - x^3 + x^2 - x + 1, [14, 0, 2, 10, 6, 6; 0, 14, 4, 8, 8, 4
; 0, 0, 2, 0, 0, 0; 0, 0, 0, 2, 0, 0; 0, 0, 0, 0, 2, 0; 0, 0, 0, 0, 0, 2]]
[x^6 - x^5 + 5*x^3 + 39*x^2 - 74*x + 155, 1]
x^2 - 2
[[x^2 - 2, 7], [x^3 - x^2 - 2*x + 1, 8]]
[[x^3 + x - 1, [[31, 21, 3; 0, 1, 0; 0, 0, 1], [1]]], [x^3 + x - 1, [[31, 21
, 3; 0, 1, 0; 0, 0, 1], [1]]], [x^3 + x - 1, [[31, 21, 3; 0, 1, 0; 0, 0, 1],
 [1]]], [x^2 - x + 8, 1]]
[[x^3 - 3*x - 1, 7], [x^3 - 21*x - 35, 1], [x^3 - x^2 - 2*x + 1, 9], [x^3 - 
21*x - 28, 1]]
0
  *** nfresolvent: Warning: ignoring incorrect degree bound 18.
0
[x^2 + 1]
[x^5 - 5*x - 12]
[x^5 - 2*x^4 + 6*x^3 - 9*x^2 + 4*x + 1]
[x^5 + 10*x^3 - 10*x^2 - 15*x - 18]
22
10
[[], [], [], [x^6 - x^5 + x^4 - x^3 + 15*x^2 - x + 29]]
[[], []]
[[x^4 - 10*x^2 + 20], [], [x^4 + 10*x^2 + 20]]
[[x^3 - 6*x - 2], [x^3 - 6*x - 12]]
[[x^3 - x^2 - 5*x - 1, x^3 - 5*x - 1, x^3 - 4*x - 1, x^3 + x^2 - 4*x - 1, x^
3 + x^2 - 3*x - 1, x^3 + 2*x^2 - 4*x - 2, x^3 + 2*x^2 - 4*x - 1, x^3 + 2*x^2
 - 3*x - 2, x^3 + 2*x^2 - 3*x - 1, x^3 + 4*x^2 - x - 2], [x^3 + x + 1, x^3 +
 2*x + 1, x^3 + x^2 + x + 2, x^3 + x^2 + 2*x + 1, x^3 + x^2 + 3*x + 1, x^3 +
 x^2 + 3*x + 2, x^3 + 2*x^2 + 2*x + 2, x^3 + 2*x^2 + 3*x + 3, x^3 + 3*x^2 + 
3*x + 3, x^3 + 2*x^2 + 6*x + 4]]
[]
[[x^5 - 9*x^3 - 4*x^2 + 17*x + 12], [], [x^5 - x^4 + 2*x^3 - 14*x^2 + 5*x - 
17]]
[[], [], [x^6 - x^3 - 1], []]
[[x^9 - 9*x^7 + 27*x^5 - 30*x^3 + 9*x - 1], [], [], [], []]
[[], [], [], [], [x^9 - 3*x^8 + 4*x^7 - 5*x^6 + 6*x^5 - x^4 - 5*x^3 + 4*x^2 
- 2]]
[x^9 - 2*x^8 + x^7 - 8*x^6 + 13*x^5 + 13*x^4 + 39*x^3 - 3*x^2 - 432*x - 405]
4
5
0
1
[x^2 - x - 1, x^2 - 2, x^2 - 3, x^2 - x - 3, x^2 - x - 4, x^2 - x - 5, x^2 -
 6, x^2 - x + 1, x^2 + 1, x^2 - x + 2, x^2 + 2, x^2 - x + 3, x^2 - x + 4, x^
2 - x + 5, x^2 + 5, x^2 - x + 6, x^2 + 6]
[x^3 + x + 1, x^3 + 2*x + 1, x^3 + x^2 + x + 2, x^3 + x^2 + 2*x + 1, x^3 + x
^2 + 3*x + 1, x^3 + x^2 + 3*x + 2, x^3 + 2*x^2 + 2*x + 2, x^3 + 2*x^2 + 3*x 
+ 3, x^3 + 3*x^2 + 3*x + 3, x^3 + 2*x^2 + 6*x + 4]
2
[]
[]
[x^2 - x - 4611686018427387904]
[x^2 - x + 4611686018427387905]
[]
[x^2 + 4611686018427387905]
[x^2 - 4611686018427387906, x^2 + 4611686018427387906]
[x^2 - 4611686018427387907]
[x^4 - 36893488147419103234*x^2 + 38187111840804345392508053338668630977, x^
4 - 36893488147419103234*x^2 + 18446744073709551617]
[]
[]
[]
[]
[]
[x^6 + 2*x^5 - 9*x^4 - 14*x^3 + 10*x^2 + 8*x + 1, x^6 + 2*x^5 + 3*x^4 + 2*x^
3 + 18*x^2 + 16*x + 41, x^6 + 2*x^5 - 9*x^4 - 14*x^3 + 10*x^2 + 8*x + 1, x^6
 + 2*x^5 + 3*x^4 + 2*x^3 + 18*x^2 + 16*x + 41]
[x^6 + 2*x^5 - 27*x^4 - 38*x^3 + 178*x^2 + 116*x - 239, x^6 + 2*x^5 + 21*x^4
 + 26*x^3 + 210*x^2 + 148*x + 881]
[x^6 - 3*x^5 + 7*x^4 - 9*x^3 + 7*x^2 - 3*x + 1]
[x^6 - 3*x^5 + 7*x^4 - 9*x^3 + 7*x^2 - 3*x + 1]
[x^6 - x^4 - 2*x^3 + x^2 + x + 1, x^6 - 2*x^4 + x^2 + 1]
[x^6 - x^4 - x^3 - x^2 + 1]
[x^4 + 2890*x^2 - 1234616*x + 63201517, x^4 - 213414*x^2 - 1234616*x + 11808
005213, x^4 - 38438*x^2 - 1234616*x + 198375645, x^4 - 75950*x^2 - 1234616*x
 + 693306021, x^4 + 41130*x^2 - 1234616*x + 513663501, x^4 + 12138*x^2 - 123
4616*x + 28807757, x^4 + 151010*x^2 - 1234616*x + 5934964757, x^4 - 4118*x^2
 - 1234616*x + 92514525, x^4 - 22838*x^2 - 1234616*x - 8500739, x^4 - 9062*x
^2 - 1234616*x + 185351197, x^4 + 27426*x^2 - 1234616*x + 17052053, x^4 + 19
9114*x^2 - 1234616*x + 9340586349, x^4 + 6410*x^2 - 1234616*x + 51631661, x^
4 - 254502*x^2 - 1234616*x + 15705760989, x^4 - 34470*x^2 - 1234616*x + 4816
20317, x^4 + 6250*x^2 - 1234616*x + 120263757, x^4 + 67522*x^2 - 1234616*x +
 1531795701, x^4 + 24418*x^2 - 1234616*x + 17573077, x^4 - 53654*x^2 - 12346
16*x + 158554957, x^4 + 23674*x^2 - 1234616*x + 223451149, x^4 + 11866*x^2 -
 1234616*x + 49398573, x^4 + 69082*x^2 - 1234616*x + 940601709, x^4 + 17570*
x^2 - 1234616*x + 162982037, x^4 - 90102*x^2 - 1234616*x + 1517844269, x^4 -
 25254*x^2 - 1234616*x + 27954525, x^4 - 8822*x^2 - 1234616*x + 159585837, x
^4 + 199018*x^2 - 1234616*x + 9933523789]
[x^4 - 12406*x^2 - 367048*x - 246355, x^4 - 2822*x^2 - 367048*x + 24197325, 
x^4 + 42522*x^2 - 367048*x + 582148637, x^4 + 13402*x^2 - 367048*x + 2509357
, x^4 - 56918*x^2 - 367048*x + 897455629, x^4 - 12822*x^2 - 367048*x + 53137
41, x^4 - 9062*x^2 - 367048*x - 2043491, x^4 + 22042*x^2 - 367048*x + 350226
37, x^4 + 22282*x^2 - 367048*x + 108889389]
[x^4 - 38838*x^2 - 10639720*x + 2160162637, x^4 - 254700*x^2 - 1519960*x + 1
6943499408, x^4 + 599916*x^2 - 10639720*x + 97257386112, x^4 + 2313806*x^2 -
 1519960*x + 1339116741193, x^4 - 75098*x^2 - 10639720*x - 410680687, x^4 - 
125348*x^2 - 1519960*x + 3517793072, x^4 + 317014*x^2 - 10639720*x + 1729758
7025, x^4 + 1097246*x^2 - 1519960*x + 299998918137, x^4 - 25100*x^2 - 212794
4*x - 50276032, x^4 - 236178*x^2 - 14895608*x + 844476681, x^4 + 86524*x^2 -
 2127944*x + 1359222128, x^4 + 1343516*x^2 - 14895608*x + 459265503856, x^4 
- 26486*x^2 - 1519960*x + 419026637, x^4 - 557476*x^2 - 10639720*x + 8593138
3888, x^4 + 298244*x^2 - 1519960*x + 24239006208, x^4 + 5138350*x^2 - 106397
20*x + 6605633793737, x^4 + 84182*x^2 - 10639720*x + 1089798225, x^4 + 27183
8*x^2 - 1519960*x + 18589795513, x^4 - 671542*x^2 - 10639720*x + 96713730253
, x^4 - 2447604*x^2 - 1519960*x + 1495092355600, x^4 - 22684*x^2 - 3951896*x
 + 753800512, x^4 + 166422*x^2 - 27663272*x + 1966264993, x^4 + 12270*x^2 - 
3951896*x + 1492847929, x^4 - 534422*x^2 - 27663272*x + 85967039213, x^4 + 7
7462*x^2 - 14895608*x + 904570033, x^4 - 45126*x^2 - 2127944*x + 1015387645,
 x^4 + 99804*x^2 - 14895608*x + 6579661984, x^4 + 489964*x^2 - 2127944*x + 6
0306340688, x^4 + 144214*x^2 - 2127944*x + 4135751441, x^4 + 2297916*x^2 - 1
4895608*x + 1323894202032, x^4 - 1234886*x^2 - 2127944*x + 369806215037, x^4
 - 20667484*x^2 - 14895608*x + 106713925457200]
[x^3 - 9*x - 3]
[[x^11 - x^10 - 10*x^9 + 9*x^8 + 36*x^7 - 28*x^6 - 56*x^5 + 35*x^4 + 35*x^3 
- 15*x^2 - 6*x + 1, x^11 - x^10 - 30*x^9 + 63*x^8 + 220*x^7 - 698*x^6 - 101*
x^5 + 1960*x^4 - 1758*x^3 + 35*x^2 + 243*x + 29], [], [], [], [], []]
[[x^5 - 10*x^3 + 20*x - 10, x^5 - x^4 - 8*x^3 + 6*x^2 + 13*x - 9, x^5 - 9*x^
3 - 4*x^2 + 17*x + 12], [], [x^5 - 3, x^5 - 2, x^5 + 5*x^3 + 5*x - 1, x^5 - 
x^4 + 4*x^3 + 4*x^2 - x + 13, x^5 + 5*x^3 + 5*x - 2, x^5 - x^4 - 2*x^3 + x^2
 + 2*x - 3, x^5 - 2*x^4 - 2*x^3 + 8*x^2 - x - 10, x^5 + 2*x^3 - 4*x^2 - x - 
4, x^5 - x^4 + 2*x^3 - 4*x^2 + x - 1, x^5 - x^4 + x^2 + 3*x + 1]]
[x]
[x^3 - x^2 - 2*x + 1, x^3 - 3*x + 1, x^3 - x^2 - 4*x - 1, x^3 - x^2 - 6*x + 
7, x^3 - x^2 - 10*x + 8, x^3 - x^2 - 12*x - 11, x^3 - x^2 - 14*x - 8, x^3 - 
x^2 - 20*x + 9, x^3 - 21*x - 35, x^3 - 21*x + 28]
[x^4 + 10*x^2 + 5, x^4 - 30*x^2 + 45, x^4 - 10*x^2 + 5, x^4 - 70*x^2 + 245, 
x^4 - 10*x^2 + 20, x^4 + 10*x^2 + 20, x^4 - 110*x^2 + 605, x^4 + 30*x^2 + 45
, x^4 + 130*x^2 + 845, x^4 - 4*x^2 + 2, x^4 + 4*x^2 + 2, x^4 - 12*x^2 + 18, 
x^4 + 12*x^2 + 18, x^4 + 26*x^2 + 117, x^4 - 78*x^2 + 1053, x^4 - 26*x^2 + 1
17, x^4 - 34*x^2 + 17, x^4 + 58*x^2 + 725]
[x^4 + 14*x^2 + 1, x^4 - 4*x^2 + 64, x^4 + 20*x^2 + 16, x^4 - 10*x^2 + 121, 
x^4 + 22*x^2 + 25, x^4 + 28*x^2 + 64, x^4 - 2*x^2 + 81, x^4 + 22*x^2 + 9, x^
4 + 24*x^2 + 16, x^4 + 4*x^2 + 144]
15
[x^4 - 2*x^3 + 2*x^2 + 2, x^4 - x^3 + 5*x^2 - 4*x + 3, x^4 - 2*x^3 + 6*x^2 -
 4*x + 2, x^4 - x^3 + 6*x^2 - 5*x + 8, x^4 - x^3 + 3*x^2 + x + 20, x^4 - x^3
 - 3*x + 4, x^4 - 2*x^3 + 2*x^2 + 4*x + 2, x^4 + 3*x^2 - 7*x + 4, x^4 - 2*x^
3 + 10*x^2 - 8*x + 2, x^4 + 7*x^2 - 2*x + 14, x^4 - x^3 - 7*x^2 + 2*x + 9]
[x^4 + 12*x^2 - 8*x + 16, x^4 - 2*x^2 - 8*x + 25, x^4 - 8*x + 16, x^4 + 2*x^
2 - 8*x + 21, x^4 + 6*x^2 - 8*x + 17, x^4 + 10*x^2 - 8*x + 109, x^4 + 282*x^
2 - 8*x + 19933, x^4 - 8*x - 16, x^4 - 14*x^2 - 16*x + 13, x^4 + 2*x^2 - 8*x
 - 59, x^4 - 20*x^2 - 16*x - 16, x^4 - 2*x^2 - 8*x - 23, x^4 + 2*x^2 - 16*x 
- 3, x^4 - 8*x^2 - 8*x - 16, x^4 - 2*x^2 - 32*x - 47, x^4 - 6*x^2 - 8*x - 19
, x^4 + 10*x^2 - 8*x - 83]
[x^5 - x^4 - 4*x^3 + 3*x^2 + 3*x - 1, x^5 - 10*x^3 - 5*x^2 + 10*x - 1, x^5 -
 x^4 - 12*x^3 + 21*x^2 + x - 5, x^5 - x^4 - 16*x^3 - 5*x^2 + 21*x + 9, x^5 -
 x^4 - 24*x^3 + 17*x^2 + 41*x + 13, x^5 - x^4 - 28*x^3 - 37*x^2 + 25*x - 1, 
x^5 - x^4 - 40*x^3 - 93*x^2 - 21*x + 17, x^5 - x^4 - 52*x^3 + 89*x^2 + 109*x
 - 193, x^5 - x^4 - 60*x^3 + 12*x^2 + 784*x - 128, x^5 - x^4 - 72*x^3 + 123*
x^2 + 223*x + 49]
[x^5 - 2*x^4 + 2*x^3 - x^2 + 1, x^5 - x^4 + x^3 - 2*x^2 + 3*x - 1, x^5 - 2*x
^4 + 3*x^3 - 3*x^2 + x + 1, x^5 - x^4 - x^2 + 3*x - 1, x^5 - x^4 - 2*x^3 + x
^2 + 3*x - 1, x^5 - x^4 + 2*x^3 - x^2 + x + 2, x^5 - x^4 - x^3 + 3*x - 1, x^
5 + x^3 - 3*x^2 + x - 3, x^5 - x^4 + 3*x^2 - x + 2, x^5 - x^3 - 2*x^2 + 3*x 
+ 4]
[x^5 - 3, x^5 - 2, x^5 + 5*x^3 + 5*x - 1, x^5 - x^4 + 4*x^3 + 4*x^2 - x + 13
, x^5 + 5*x^3 + 5*x - 2, x^5 - x^4 - 2*x^3 + x^2 + 2*x - 3, x^5 - 2*x^4 - 2*
x^3 + 8*x^2 - x - 10, x^5 + 2*x^3 - 4*x^2 - x - 4, x^5 - x^4 + 2*x^3 - 4*x^2
 + x - 1, x^5 - x^4 + x^2 + 3*x + 1]
  ***   at top-level: nflist("S3",-1)
  ***                 ^---------------
  *** nflist: domain error in nflist: Xinf <= 0
  ***   at top-level: nflist("S3",[-1,2])
  ***                 ^-------------------
  *** nflist: domain error in nflist: Xinf <= 0
  ***   at top-level: nflist("S3",[1,-2])
  ***                 ^-------------------
  *** nflist: domain error in nflist: X <= 0
  ***   at top-level: nflist("S5")
  ***                 ^------------
  *** nflist: unsupported group (S5). Use one of
  "C1"=[1,1];
  "C2"=[2,1];
  "C3"=[3,1], "S3"=[3,2];
  "C4"=[4,1], "V4"=[4,2], "D4"=[4,3], "A4"=[4,4], "S4"=[4,5];
  "C5"=[5,1], "D5"=[5,2], "F5"="M20"=[5,3], "A5"=[5,4];
  "C6"=[6,1], "D6"=[6,2], [6,3], [6,4],..., [6,13];
  "C7"=[7,1], "D7"=[7,2], "M21"=[7,3], "M42"=[7,4];
  "C9"=[9,1], [9,2], "D9"=[9,3]."
  Also supported are "Cp"=[p,1] and "Dp"=[p,2] for any odd prime p.
  ***   at top-level: nflist([10,1])
  ***                 ^--------------
  *** nflist: unsupported group ([10, 1]). Use one of
  "C1"=[1,1];
  "C2"=[2,1];
  "C3"=[3,1], "S3"=[3,2];
  "C4"=[4,1], "V4"=[4,2], "D4"=[4,3], "A4"=[4,4], "S4"=[4,5];
  "C5"=[5,1], "D5"=[5,2], "F5"="M20"=[5,3], "A5"=[5,4];
  "C6"=[6,1], "D6"=[6,2], [6,3], [6,4],..., [6,13];
  "C7"=[7,1], "D7"=[7,2], "M21"=[7,3], "M42"=[7,4];
  "C9"=[9,1], [9,2], "D9"=[9,3]."
  Also supported are "Cp"=[p,1] and "Dp"=[p,2] for any odd prime p.
  ***   at top-level: nflist([9,9])
  ***                 ^-------------
  *** nflist: unsupported group ([9, 9]). Use one of
  "C1"=[1,1];
  "C2"=[2,1];
  "C3"=[3,1], "S3"=[3,2];
  "C4"=[4,1], "V4"=[4,2], "D4"=[4,3], "A4"=[4,4], "S4"=[4,5];
  "C5"=[5,1], "D5"=[5,2], "F5"="M20"=[5,3], "A5"=[5,4];
  "C6"=[6,1], "D6"=[6,2], [6,3], [6,4],..., [6,13];
  "C7"=[7,1], "D7"=[7,2], "M21"=[7,3], "M42"=[7,4];
  "C9"=[9,1], [9,2], "D9"=[9,3]."
  Also supported are "Cp"=[p,1] and "Dp"=[p,2] for any odd prime p.
  ***   at top-level: nflist([11,3])
  ***                 ^--------------
  *** nflist: unsupported group ([11, 3]). Use one of
  "C1"=[1,1];
  "C2"=[2,1];
  "C3"=[3,1], "S3"=[3,2];
  "C4"=[4,1], "V4"=[4,2], "D4"=[4,3], "A4"=[4,4], "S4"=[4,5];
  "C5"=[5,1], "D5"=[5,2], "F5"="M20"=[5,3], "A5"=[5,4];
  "C6"=[6,1], "D6"=[6,2], [6,3], [6,4],..., [6,13];
  "C7"=[7,1], "D7"=[7,2], "M21"=[7,3], "M42"=[7,4];
  "C9"=[9,1], [9,2], "D9"=[9,3]."
  Also supported are "Cp"=[p,1] and "Dp"=[p,2] for any odd prime p.
  ***   at top-level: nflist("M21",[1,10^4],,x)
  ***                 ^-------------------------
  *** nflist: incorrect type in makeMgenvec [field] (t_POL).
  ***   at top-level: nflist("C3",x)
  ***                 ^--------------
  *** nflist: incorrect variable in nflist / Q(T).
  ***   at top-level: nflist("C3",[x])
  ***                 ^----------------
  *** nflist: incorrect type in nflist (t_VEC).
Total time spent: 46374
