  ***   Warning: new stack size = 16000000 (15.259 Mbytes).
[2, 1]
[16, 10]
[20, 3]
[24, 12]
[4, 2]
[4, 2]
[4, 2]
[4, 2]
[12, 3]
[24, 12]
[36, 9]
[54, 11]
[54, 14]
[64, 66]
[8, 5]
[4, 2]
[14, 1]
  ***   at top-level: do(x^48+688253440*x^36+64889579202*x^24+688253
  ***                 ^----------------------------------------------
  ***   in function do: galoisidentify(galoisinit(p))
  ***                   ^-----------------------------
  *** galoisidentify: incorrect type in checkgal (t_INT).
[-x + 3, x]~
[x]~
[-x, x]~
[-x, x, -x^3, x^3]~

[11  0  0 10 7 1]

[ 0 11  0  6 1 1]

[ 0  0 11  7 1 5]

[ 0  0  0  1 0 0]

[ 0  0  0  0 1 0]

[ 0  0  0  0 0 1]

[11, [9, 10, 5, 10, 6, 10]~, 1, 3, [10, 0, 0, -1, -4, 1; 4, 10, 0, -1, -5, -
3; 5, 4, 10, -1, -5, -4; 1, 5, 4, 9, -5, -4; 0, 1, 5, 3, 5, -4; 0, 0, 1, 4, 
-1, 6]]
Mod(x^4 + x^2, x^6 + x^5 + x^4 + x^3 + x^2 + x + 1)
1/2
[1, 1]
[1, 1/2]
[1, Mod(x^2, x^6 + x^5 + x^4 + x^3 + x^2 + x + 1)]
[1, Mod(x^2, x^6 + x^5 + x^4 + x^3 + x^2 + x + 1)]
[1, [0, 0, 0, 0, 0, 0]~]
[1, [;]]
[1, [1, 2; Mod(x^2, x^6 + x^5 + x^4 + x^3 + x^2 + x + 1), 3]]
[25343300/14121030321*x^11 + 162850/4707010107*x^9 - 251993549/4707010107*x^
7 - 9261852590/14121030321*x^5 + 13704094421/4707010107*x^3 + 21375212764/52
3001123*x, -25343300/14121030321*x^11 - 162850/4707010107*x^9 + 251993549/47
07010107*x^7 + 9261852590/14121030321*x^5 - 13704094421/4707010107*x^3 - 213
75212764/523001123*x, -6335825/14121030321*x^11 - 174397/1046002246*x^10 - 8
1425/9414020214*x^9 + 2174305/3138006738*x^8 + 251993549/18828040428*x^7 + 2
776168/523001123*x^6 + 4630926295/28242060642*x^5 + 33788356/523001123*x^4 -
 13704094421/18828040428*x^3 - 645447089/1569003369*x^2 - 20852211641/209200
4492*x - 2869448765/1046002246]
"Group((1, 5)(2, 10)(3, 11)(4, 6)(7, 9)(8, 12), (1, 8)(2, 3)(4, 7)(5, 12)(6,
 9)(10, 11), (1, 2, 7)(3, 9, 12)(4, 5, 11)(6, 8, 10))"
"PermutationGroup<12|[5, 10, 11, 6, 1, 4, 9, 12, 7, 2, 3, 8], [8, 3, 2, 7, 1
2, 9, 4, 1, 6, 11, 10, 5], [2, 7, 9, 5, 11, 8, 1, 10, 12, 6, 4, 3]>"
[[[Vecsmall([10, 7, 11, 9, 6, 5, 2, 12, 4, 1, 3, 8]), Vecsmall([12, 1, 9, 5,
 3, 11, 10, 2, 6, 8, 4, 7]), Vecsmall([3, 9, 10, 2, 8, 12, 4, 6, 7, 11, 1, 5
])], Vecsmall([2, 3, 2])], [[Vecsmall([10, 7, 11, 9, 6, 5, 2, 12, 4, 1, 3, 8
]), Vecsmall([12, 1, 9, 5, 3, 11, 10, 2, 6, 8, 4, 7])], Vecsmall([2, 3])], [
[Vecsmall([10, 7, 11, 9, 6, 5, 2, 12, 4, 1, 3, 8]), Vecsmall([3, 9, 10, 2, 8
, 12, 4, 6, 7, 11, 1, 5])], Vecsmall([2, 2])], [[Vecsmall([10, 7, 11, 9, 6, 
5, 2, 12, 4, 1, 3, 8]), Vecsmall([6, 11, 2, 12, 1, 10, 3, 4, 8, 5, 7, 9])], 
Vecsmall([2, 2])], [[Vecsmall([10, 7, 11, 9, 6, 5, 2, 12, 4, 1, 3, 8]), Vecs
mall([9, 6, 8, 1, 2, 7, 5, 11, 10, 4, 12, 3])], Vecsmall([2, 2])], [[Vecsmal
l([10, 7, 11, 9, 6, 5, 2, 12, 4, 1, 3, 8])], Vecsmall([2])], [[Vecsmall([8, 
10, 4, 6, 11, 3, 1, 7, 5, 12, 9, 2])], Vecsmall([3])], [[], Vecsmall([])]]
[1, 1, 0, 0, 0, 1, 1, 1]
[0, [2, 1; 0, 3], [2, 1; 0, 2], [2, 1; 0, 2], [2, 1; 0, 2], Mat(2), Mat(3), 
[;]]
[0, 1, 1, 1, 1, 1, 1, 1]
[0, [6], [4], [4], [4], [2], [3], []]
[[Vecsmall([1]), Vecsmall([2]), Vecsmall([3]), Vecsmall([4]), Vecsmall([5]),
 Vecsmall([6]), Vecsmall([7]), Vecsmall([8]), Vecsmall([9]), Vecsmall([10]),
 Vecsmall([11]), Vecsmall([12])], [Vecsmall([1, 12, 7, 10, 8, 2]), Vecsmall(
[3, 9, 6, 11, 4, 5])], [Vecsmall([1, 7, 8]), Vecsmall([2, 12, 10]), Vecsmall
([3, 6, 4]), Vecsmall([5, 9, 11])], [Vecsmall([1, 10]), Vecsmall([2, 7]), Ve
csmall([3, 11]), Vecsmall([4, 9]), Vecsmall([5, 6]), Vecsmall([8, 12])], [Ve
csmall([1, 8, 7]), Vecsmall([2, 10, 12]), Vecsmall([3, 4, 6]), Vecsmall([5, 
11, 9])], [Vecsmall([1, 2, 8, 10, 7, 12]), Vecsmall([3, 5, 4, 11, 6, 9])], [
Vecsmall([1, 3, 10, 11]), Vecsmall([2, 9, 7, 4]), Vecsmall([5, 8, 6, 12])], 
[Vecsmall([1, 9, 10, 4]), Vecsmall([2, 6, 7, 5]), Vecsmall([3, 8, 11, 12])],
 [Vecsmall([1, 6, 10, 5]), Vecsmall([2, 11, 7, 3]), Vecsmall([4, 12, 9, 8])]
, [Vecsmall([1, 11, 10, 3]), Vecsmall([2, 4, 7, 9]), Vecsmall([5, 12, 6, 8])
], [Vecsmall([1, 4, 10, 9]), Vecsmall([2, 5, 7, 6]), Vecsmall([3, 12, 11, 8]
)], [Vecsmall([1, 5, 10, 6]), Vecsmall([2, 3, 7, 11]), Vecsmall([4, 8, 9, 12
])]]
[1, 6, 3, 2, 3, 6, 4, 4, 4, 4, 4, 4]
[1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1]
[x^12 - 24*x^10 - 10*x^9 + 216*x^8 + 180*x^7 - 844*x^6 - 1080*x^5 + 1056*x^4
 + 2200*x^3 + 720*x^2 - 240*x - 80, x^2 - 30*x + 180, x^4 - 30*x^3 + 180*x^2
 + 1080*x - 6480, x^6 - 18*x^4 + 20*x^3 + 36*x^2 - 60*x + 20, x^4 - 30*x^3 +
 180*x^2 + 1080*x - 6480, x^2 - 30*x + 180, x^3 - 30*x + 50, x^3 - 12*x + 14
, x^3 - 12*x - 4, x^3 - 30*x + 50, x^3 - 12*x + 14, x^3 - 12*x - 4]
[x^2 - 30*x + 180, Mod(3/4*x^9 - 27/2*x^7 - 9/2*x^6 + 81*x^5 + 54*x^4 - 162*
x^3 - 162*x^2 + 30, x^12 - 24*x^10 - 10*x^9 + 216*x^8 + 180*x^7 - 844*x^6 - 
1080*x^5 + 1056*x^4 + 2200*x^3 + 720*x^2 - 240*x - 80)]
[y^2 - 30*y + 180, Mod(3/4*x^9 - 27/2*x^7 - 9/2*x^6 + 81*x^5 + 54*x^4 - 162*
x^3 - 162*x^2 + 30, x^12 - 24*x^10 - 10*x^9 + 216*x^8 + 180*x^7 - 844*x^6 - 
1080*x^5 + 1056*x^4 + 2200*x^3 + 720*x^2 - 240*x - 80), [x^6 - 12*x^4 - 1/3*
y*x^3 + 36*x^2 + 2*y*x + (4/3*y - 20), x^6 - 12*x^4 + (1/3*y - 10)*x^3 + 36*
x^2 + (-2*y + 60)*x + (-4/3*y + 20)]]
[y - 5, Mod(5, x^9 - 5*x^8 - 70*x^7 + 269*x^6 + 1591*x^5 - 4531*x^4 - 11255*
x^3 + 29326*x^2 + 7688*x - 29791), [x^9 - 5*x^8 - 70*x^7 + 269*x^6 + 1591*x^
5 - 4531*x^4 - 11255*x^3 + 29326*x^2 + 7688*x - 29791]]
x^2 + x - 4
x - 1
1
[x - 1, 1]
x^6 + 21*x^4 + 116*x^2 + 64
[6, 2]
x^6 + 21*x^4 + 116*x^2 + 64
x^2 - x - 16
x^2 - x - 16
[x^8 - x^6 + x^4 - x^2 + 1, [101, 2, 10201], [7607, 567, 5596, 6117, 2594, 9
634, 4605, 4084], [2678, 1546, 2875, 8203, 2678, 1546, 2875, 8203; 9382, 964
6, 819, 555, 819, 555, 9382, 9646; 197, 6657, 10004, 3544, 197, 6657, 10004,
 3544; 9497, 1523, 9233, 149, 704, 8678, 968, 10052; 4676, 9069, 1329, 5328,
 4676, 9069, 1329, 5328; 8870, 8166, 9689, 8721, 1331, 2035, 512, 1480; 9069
, 1329, 5328, 4676, 9069, 1329, 5328, 4676; 10052, 704, 8678, 968, 149, 9497
, 1523, 9233], 1, [Vecsmall([1, 2, 3, 4, 5, 6, 7, 8]), Vecsmall([2, 3, 4, 1,
 6, 7, 8, 5]), Vecsmall([3, 4, 1, 2, 7, 8, 5, 6]), Vecsmall([4, 1, 2, 3, 8, 
5, 6, 7]), Vecsmall([5, 6, 7, 8, 1, 2, 3, 4]), Vecsmall([6, 7, 8, 5, 2, 3, 4
, 1]), Vecsmall([7, 8, 5, 6, 3, 4, 1, 2]), Vecsmall([8, 5, 6, 7, 4, 1, 2, 3]
)], [Vecsmall([2, 3, 4, 1, 6, 7, 8, 5]), Vecsmall([5, 6, 7, 8, 1, 2, 3, 4])]
, Vecsmall([4, 2])]
[[x, Mod(0, x^8 - x^6 + x^4 - x^2 + 1)], [x^2 + 1, Mod(-x^5, x^8 - x^6 + x^4
 - x^2 + 1)], [x^2 - 2*x - 4, Mod(-2*x^6 + 2*x^4 + 2, x^8 - x^6 + x^4 - x^2 
+ 1)], [x^2 + 5, Mod(2*x^7 - x^5 + 2*x^3, x^8 - x^6 + x^4 - x^2 + 1)], [x^4 
+ 3*x^2 + 1, Mod(x^7 - x^5 + x^3, x^8 - x^6 + x^4 - x^2 + 1)], [x^4 - 2*x^3 
+ 4*x^2 - 8*x + 16, Mod(2*x^2, x^8 - x^6 + x^4 - x^2 + 1)], [x^4 - 5*x^2 + 5
, Mod(-x^7 + x^5 - x^3 + 2*x, x^8 - x^6 + x^4 - x^2 + 1)], [x^8 - x^6 + x^4 
- x^2 + 1, Mod(x, x^8 - x^6 + x^4 - x^2 + 1)]]
[[z, Mod(0, x^6 + 108), [x^6 + 108]], [z^2 + 972, Mod(3*x^3, x^6 + 108), [x^
3 - 1/3*z, x^3 + 1/3*z]], [z^3 + 54, Mod(1/12*x^4 + 3/2*x, x^6 + 108), [x^2 
- z*x + 1/3*z^2, x^2 + 1/3*z^2, x^2 + z*x + 1/3*z^2]], [z^3 + 864, Mod(2*x^2
, x^6 + 108), [x^2 - 1/2*z, x^2 - 1/24*z^2*x - 1/2*z, x^2 + 1/24*z^2*x - 1/2
*z]], [z^3 - 54, Mod(-1/12*x^4 + 3/2*x, x^6 + 108), [x^2 - z*x + 1/3*z^2, x^
2 + z*x + 1/3*z^2, x^2 + 1/3*z^2]], [z^6 + 108, Mod(x, x^6 + 108), [x - z, x
 + (-1/12*z^4 + 1/2*z), x + (1/12*z^4 + 1/2*z), x + (-1/12*z^4 - 1/2*z), x +
 (1/12*z^4 - 1/2*z), x + z]]]
[1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4]
0
59
59
[60, 5]
[108, 15]
  ***   at top-level: galoispermtopol(G,[4,3,6,5,1,2])
  ***                 ^--------------------------------
  *** galoispermtopol: incorrect type in galoispermtopol (t_VEC).
Total time spent: 2542
