[85997496, [42998748, 2], [[408188227, 99620635; 0, 1], [2, 1; 0, 1]]]
12.340047278667903334059769086970462209
4.1894250945222025884896456921310573069
  *** bnfinit: Warning: non-monic polynomial in bnfinit, using polredbest.
[1, [], []]
  *** bnfinit: Warning: non-monic polynomial in bnfinit, using polredbest.
[1, [], []]
20915648110955829231381594293324156411897455346679838307589120000
571459344155975480004612560667633185714077696
[54898, [54898], [[7, 0; 0, 1]]]
[26, [26], [[19, 15, 18, 5; 0, 1, 0, 0; 0, 0, 1, 0; 0, 0, 0, 1]]]
[1, [], []]
[3, 3]
20/3
-5
13
0
5/2
-1
1024/243
-1
31
-11
1/32
15853839
1736217747
Mod(4/3, y^5 - 4*y^3 + 2*y + 11)
Mod(-1, y^5 - 4*y^3 + 2*y + 11)
Mod(y^2 + y + 1, y^5 - 4*y^3 + 2*y + 11)
Mod(y, y^5 - 4*y^3 + 2*y + 11)
Mod(1/2, y^5 - 4*y^3 + 2*y + 11)
Mod(5*y^4 + 4*y^3 - 12*y^2 - y - 5, y^5 - 4*y^3 + 2*y + 11)
[4/3, 0, 0, 0, 0]~
[-1, 0, 0, 0, 0]~
[3, 1, 1, 0, 0]~
[0, 1, 0, 0, 0]~
[1/2, 0, 0, 0, 0]~
[1, 2, 3, 4, 5]~
(f)->for(i=1,#v,for(j=1,#v,print(f(nf,v[i],v[j]))))
8/3
1/3
[13/3, 1, 1, 0, 0]~
[4/3, 1, 0, 0, 0]~
11/6
[7/3, 2, 3, 4, 5]~
1/3
-2
[2, 1, 1, 0, 0]~
[-1, 1, 0, 0, 0]~
-1/2
[0, 2, 3, 4, 5]~
[13/3, 1, 1, 0, 0]~
[2, 1, 1, 0, 0]~
[6, 2, 2, 0, 0]~
[3, 2, 1, 0, 0]~
[7/2, 1, 1, 0, 0]~
[4, 3, 4, 4, 5]~
[4/3, 1, 0, 0, 0]~
[-1, 1, 0, 0, 0]~
[3, 2, 1, 0, 0]~
[0, 2, 0, 0, 0]~
[1/2, 1, 0, 0, 0]~
[1, 3, 3, 4, 5]~
11/6
-1/2
[7/2, 1, 1, 0, 0]~
[1/2, 1, 0, 0, 0]~
1
[3/2, 2, 3, 4, 5]~
[7/3, 2, 3, 4, 5]~
[0, 2, 3, 4, 5]~
[4, 3, 4, 4, 5]~
[1, 3, 3, 4, 5]~
[3/2, 2, 3, 4, 5]~
[2, 4, 6, 8, 10]~
1
-4/3
[-64/93, 16/31, 16/93, -8/31, 4/93]~
[0, 4/33, 4/33, 0, -4/33]~
8/3
[1587988/47561517, -165136/5284613, 41300/5284613, -212540/47561517, -78712/
47561517]~
-3/4
1
[16/31, -12/31, -4/31, 6/31, -1/31]~
[0, -1/11, -1/11, 0, 1/11]~
-2
[-396997/15853839, 123852/5284613, -30975/5284613, 53135/15853839, 19678/158
53839]~
[9/4, 3/4, 3/4, 0, 0]~
[-3, -1, -1, 0, 0]~
[1, 0, 0, 0, 0]~
[1, 12/11, 1/11, 0, -1/11]~
[6, 2, 2, 0, 0]~
[1249690/15853839, -222317/5284613, 39600/5284613, -477392/15853839, 434/158
53839]~
[0, 3/4, 0, 0, 0]~
[0, -1, 0, 0, 0]~
[3/31, -10/31, 7/31, 5/31, -6/31]~
[1, 0, 0, 0, 0]~
[0, 2, 0, 0, 0]~
[-672280/15853839, 150044/5284613, -148123/5284613, 73247/15853839, -53135/1
5853839]~
3/8
-1/2
[-8/31, 6/31, 2/31, -3/31, 1/62]~
[0, 1/22, 1/22, 0, -1/22]~
1
[396997/31707678, -61926/5284613, 30975/10569226, -53135/31707678, -9839/158
53839]~
[3/4, 3/2, 9/4, 3, 15/4]~
[-1, -2, -3, -4, -5]~
[-314/31, -59/31, 311/31, 14/31, -85/31]~
[7, -27/11, 39/11, 5, 5/11]~
[2, 4, 6, 8, 10]~
[1, 0, 0, 0, 0]~
1
-1
[-1, 1, 0, 0, 0]~
[0, 0, 0, 0, 0]~
3
[0, 0, 0, 0, 0]~
-1
1
[1, 0, 0, 0, 0]~
[0, 0, 0, 0, 0]~
-2
[0, 0, 0, 0, 0]~
[2, 1, 1, 0, 0]~
[-3, -1, -1, 0, 0]~
[1, 0, 0, 0, 0]~
[1, 1, 0, 0, 0]~
[6, 2, 2, 0, 0]~
[0, 0, 0, 0, 0]~
[0, 1, 0, 0, 0]~
[0, -1, 0, 0, 0]~
[0, 0, 0, 0, 0]~
[1, 0, 0, 0, 0]~
[0, 2, 0, 0, 0]~
[0, 0, 0, 0, 0]~
0
0
[0, 0, 0, 0, 0]~
[0, 0, 0, 0, 0]~
1
[0, 0, 0, 0, 0]~
[1, 2, 2, 3, 4]~
[-1, -2, -3, -4, -5]~
[-10, -2, 10, 0, -3]~
[7, -2, 4, 5, 0]~
[2, 4, 6, 8, 10]~
[1, 0, 0, 0, 0]~
[1, 0]
[-1, 1/3]
[[-1, 1, 0, 0, 0]~, [7/3, -2, 0, -1, 0]~]
[[0, 0, 0, 0, 0]~, 4/3]
[3, -1/6]
[[0, 0, 0, 0, 0]~, 4/3]
[-1, 1/3]
[1, 0]
[[1, 0, 0, 0, 0]~, [-4, -1, -1, 0, 0]~]
[[0, 0, 0, 0, 0]~, -1]
[-2, 0]
[[0, 0, 0, 0, 0]~, -1]
[[2, 1, 1, 0, 0]~, [1/3, -1/3, -1/3, 0, 0]~]
[[-3, -1, -1, 0, 0]~, [0, 0, 0, 0, 0]~]
[[1, 0, 0, 0, 0]~, [0, 0, 0, 0, 0]~]
[[1, 1, 0, 0, 0]~, [1, 0, 0, 0, 0]~]
[[6, 2, 2, 0, 0]~, [0, 0, 0, 0, 0]~]
[[0, 0, 0, 0, 0]~, [3, 1, 1, 0, 0]~]
[[0, 1, 0, 0, 0]~, [0, -1/3, 0, 0, 0]~]
[[0, -1, 0, 0, 0]~, [0, 0, 0, 0, 0]~]
[[0, 0, 0, 0, 0]~, [0, 1, 0, 0, 0]~]
[[1, 0, 0, 0, 0]~, [0, 0, 0, 0, 0]~]
[[0, 2, 0, 0, 0]~, [0, 0, 0, 0, 0]~]
[[0, 0, 0, 0, 0]~, [0, 1, 0, 0, 0]~]
[0, 1/2]
[0, 1/2]
[[0, 0, 0, 0, 0]~, 1/2]
[[0, 0, 0, 0, 0]~, 1/2]
[1, 0]
[[0, 0, 0, 0, 0]~, 1/2]
[[1, 2, 2, 3, 4]~, [-1/3, -2/3, 1/3, 0, -1/3]~]
[[-1, -2, -3, -4, -5]~, [0, 0, 0, 0, 0]~]
[[-10, -2, 10, 0, -3]~, [-6, -2, 1, 2, 1]~]
[[7, -2, 4, 5, 0]~, [-5, 0, 0, 0, 0]~]
[[2, 4, 6, 8, 10]~, [0, 0, 0, 0, 0]~]
[[1, 0, 0, 0, 0]~, [0, 0, 0, 0, 0]~]
0
1/3
[7/3, -2, 0, -1, 0]~
4/3
-1/6
4/3
1/3
0
[-4, -1, -1, 0, 0]~
-1
0
-1
[1/3, -1/3, -1/3, 0, 0]~
[0, 0, 0, 0, 0]~
[0, 0, 0, 0, 0]~
[1, 0, 0, 0, 0]~
[0, 0, 0, 0, 0]~
[3, 1, 1, 0, 0]~
[0, -1/3, 0, 0, 0]~
[0, 0, 0, 0, 0]~
[0, 1, 0, 0, 0]~
[0, 0, 0, 0, 0]~
[0, 0, 0, 0, 0]~
[0, 1, 0, 0, 0]~
1/2
1/2
1/2
1/2
0
1/2
[-1/3, -2/3, 1/3, 0, -1/3]~
[0, 0, 0, 0, 0]~
[-6, -2, 1, 2, 1]~
[-5, 0, 0, 0, 0]~
[0, 0, 0, 0, 0]~
[0, 0, 0, 0, 0]~
16/9
-4/3
[4, 4/3, 4/3, 0, 0]~
[0, 4/3, 0, 0, 0]~
2/3
[4/3, 8/3, 4, 16/3, 20/3]~
-4/3
1
[-3, -1, -1, 0, 0]~
[0, -1, 0, 0, 0]~
-1/2
[-1, -2, -3, -4, -5]~
[4, 4/3, 4/3, 0, 0]~
[-3, -1, -1, 0, 0]~
[13, 5, 6, 2, 1]~
[2, 3, 1, 1, 0]~
[3/2, 1/2, 1/2, 0, 0]~
[-58, -42, 23, 27, 17]~
[0, 4/3, 0, 0, 0]~
[0, -1, 0, 0, 0]~
[2, 3, 1, 1, 0]~
[2, 0, 1, 0, 0]~
[0, 1/2, 0, 0, 0]~
[-33, -3, 11, 8, 4]~
2/3
-1/2
[3/2, 1/2, 1/2, 0, 0]~
[0, 1/2, 0, 0, 0]~
1/4
[1/2, 1, 3/2, 2, 5/2]~
[4/3, 8/3, 4, 16/3, 20/3]~
[-1, -2, -3, -4, -5]~
[-58, -42, 23, 27, 17]~
[-33, -3, 11, 8, 4]~
[1/2, 1, 3/2, 2, 5/2]~
[-1071, -384, -251, -155, 20]~
[1]
[1, 1/2*x - 1/2]
[2, Mod(0, 2)]~
[x^2 + x + 1, [0, 1], -3, 1, [Mat([1, -0.50000000000000000000000000000000000
000 + 0.86602540378443864676372317075293618347*I]), [1, 0.366025403784438646
76372317075293618347; 1, -1.3660254037844386467637231707529361835], [1, 0; 1
, -1], [2, -1; -1, -1], [3, 2; 0, 1], [1, -1; -1, -2], [3, [2, -1; 1, 1]], [
3]~], [-0.50000000000000000000000000000000000000 + 0.86602540378443864676372
317075293618347*I], [1, x], [1, 0; 0, 1], [1, 0, 0, -1; 0, 1, 1, -1]]
2
[0, Mod(0, 2), 1, 0, 0, 0, 0]~
[0, Mod(1, 2), 1, 0, 1, 0, 0]~
[]~
[]~
388

[2 0]

[0 1]

  *** bnfisprincipal: Warning: precision too low for generators, not given.
[[]~, [-16275043782306513717209797591668600538906793729160424387141562023303
069241961, -3992515767463859376807521115314587378342597458337773390379448027
181914746015, 40263088752008514039400780199135662260965092541683607359784818
2049497266399, 3875196415920480829978279850511752676499384722019721458357455
29259111353576, 524613164482816169908873750526849574668376660999341089640759
880949016596504]~]
[[[[[1, 0, 0, 0, 0; 0, 1, 0, 0, 0; 0, 0, 1, 0, 0; 0, 0, 0, 1, 0; 0, 0, 0, 0,
 1], Vecsmall([1])], [2, [2]], matrix(0,2), [[], [[2], [-1], [Vecsmall([1])]
, Vecsmall([1])], Vecsmall([])], Mat(1)]], [[[[2, 0, 0, 0, 0; 0, 1, 0, 0, 0;
 0, 0, 1, 0, 0; 0, 0, 0, 1, 0; 0, 0, 0, 0, 1], Vecsmall([1])], [2, [2]], Mat
([[2, [0, 0, 1, -1, 0]~, 3, 1, [0, -80, 60, -10, -60; 0, 0, -100, 0, -20; 0,
 0, 0, -10, -100; 0, 2, -2, 0, 2; 1, 0, 0, -10, 0]], 1]), [[[[[1], [1], [1],
 [Vecsmall([])], 1, [2, 0, 0, 0, 0; 0, 1, 0, 0, 0; 0, 0, 1, 0, 0; 0, 0, 0, 1
, 0; 0, 0, 0, 0, 1]]]], [[2], [-1], [Vecsmall([1])], Vecsmall([1])], Vecsmal
l([0])], Mat(1)]], [], [[[[2, 0, 0, 0, 0; 0, 1, 0, 0, 0; 0, 0, 1, 0, 0; 0, 0
, 0, 2, 0; 0, 0, 0, 0, 1], Vecsmall([1])], [4, [2, 2]], Mat([[2, [0, 0, 1, -
1, 0]~, 3, 1, [0, -80, 60, -10, -60; 0, 0, -100, 0, -20; 0, 0, 0, -10, -100;
 0, 2, -2, 0, 2; 1, 0, 0, -10, 0]], 2]), [[[[[1], [1], [1], [Vecsmall([])], 
1, [2, 0, 0, 0, 0; 0, 1, 0, 0, 0; 0, 0, 1, 0, 0; 0, 0, 0, 1, 0; 0, 0, 0, 0, 
1]], [[2], [[1, 0, 0, -1, 0]~], [[1, 0, 0, -1, 0]~], [Vecsmall([])], [Mat([0
, 0, 0, 2, 0]), 2], [2, 0, 0, 0, 0; 0, 1, 0, 0, 0; 0, 0, 1, 0, 0; 0, 0, 0, 2
, 0; 0, 0, 0, 0, 1]]]], [[2], [-1], [Vecsmall([1])], Vecsmall([1])], Vecsmal
l([0])], [1, 0; 0, 1]], [[[2, 0, 1, 0, 0; 0, 2, 0, 0, 0; 0, 0, 1, 0, 0; 0, 0
, 0, 1, 0; 0, 0, 0, 0, 1], Vecsmall([1])], [6, [6]], Mat([[2, [1, 2, 1, 0, 0
]~, 1, 2, [0, -80, -20, 0, 0; 0, -1, -100, -10, -120; 1, 0, -1, -20, -100; 0
, 2, 0, 0, 0; 1, 1, -1, -10, 0]], 1]), [[[[[3], [[0, 1, 0, 0, 0]~], [[0, 1, 
0, 0, 0]~], [Vecsmall([])], 1, [2, 0, 1, 0, 0; 0, 2, 0, 0, 0; 0, 0, 1, 0, 0;
 0, 0, 0, 1, 0; 0, 0, 0, 0, 1]]]], [[2], [-1], [Vecsmall([1])], Vecsmall([1]
)], Vecsmall([0])], Mat([-2, -3])]]]
[[[[[[1, 0, 0, 0, 0; 0, 1, 0, 0, 0; 0, 0, 1, 0, 0; 0, 0, 0, 1, 0; 0, 0, 0, 0
, 1], Vecsmall([1])], [2, [2], [-1]], matrix(0,2), [[], [[2], [-1], [Vecsmal
l([1])], Vecsmall([1])], Vecsmall([])], Mat(1)], Mat([1, 1, 1])]], [[[[[2, 0
, 0, 0, 0; 0, 1, 0, 0, 0; 0, 0, 1, 0, 0; 0, 0, 0, 1, 0; 0, 0, 0, 0, 1], Vecs
mall([1])], [2, [2], [-1]], Mat([[2, [0, 0, 1, -1, 0]~, 3, 1, [0, -80, 60, -
10, -60; 0, 0, -100, 0, -20; 0, 0, 0, -10, -100; 0, 2, -2, 0, 2; 1, 0, 0, -1
0, 0]], 1]), [[[[[1], [1], [1], [Vecsmall([])], 1, [2, 0, 0, 0, 0; 0, 1, 0, 
0, 0; 0, 0, 1, 0, 0; 0, 0, 0, 1, 0; 0, 0, 0, 0, 1]]]], [[2], [-1], [Vecsmall
([1])], Vecsmall([1])], Vecsmall([0])], Mat(1)], Mat([1, 1, 1])]], [], [[[[[
2, 0, 0, 0, 0; 0, 1, 0, 0, 0; 0, 0, 1, 0, 0; 0, 0, 0, 2, 0; 0, 0, 0, 0, 1], 
Vecsmall([1])], [4, [2, 2], [[1, 0, 0, -1, 0]~, -1]], Mat([[2, [0, 0, 1, -1,
 0]~, 3, 1, [0, -80, 60, -10, -60; 0, 0, -100, 0, -20; 0, 0, 0, -10, -100; 0
, 2, -2, 0, 2; 1, 0, 0, -10, 0]], 2]), [[[[[1], [1], [1], [Vecsmall([])], 1,
 [2, 0, 0, 0, 0; 0, 1, 0, 0, 0; 0, 0, 1, 0, 0; 0, 0, 0, 1, 0; 0, 0, 0, 0, 1]
], [[2], [[1, 0, 0, -1, 0]~], [[1, 0, 0, -1, 0]~], [Vecsmall([])], [Mat([0, 
0, 0, 2, 0]), 2], [2, 0, 0, 0, 0; 0, 1, 0, 0, 0; 0, 0, 1, 0, 0; 0, 0, 0, 2, 
0; 0, 0, 0, 0, 1]]]], [[2], [-1], [Vecsmall([1])], Vecsmall([1])], Vecsmall(
[0])], [1, 0; 0, 1]], [0, 0, 0; 1, 1, 1]], [[[[2, 0, 1, 0, 0; 0, 2, 0, 0, 0;
 0, 0, 1, 0, 0; 0, 0, 0, 1, 0; 0, 0, 0, 0, 1], Vecsmall([1])], [6, [6], [[0,
 -1, 0, 0, 0]~]], Mat([[2, [1, 2, 1, 0, 0]~, 1, 2, [0, -80, -20, 0, 0; 0, -1
, -100, -10, -120; 1, 0, -1, -20, -100; 0, 2, 0, 0, 0; 1, 1, -1, -10, 0]], 1
]), [[[[[3], [[0, 1, 0, 0, 0]~], [[0, 1, 0, 0, 0]~], [Vecsmall([])], 1, [2, 
0, 1, 0, 0; 0, 2, 0, 0, 0; 0, 0, 1, 0, 0; 0, 0, 0, 1, 0; 0, 0, 0, 0, 1]]]], 
[[2], [-1], [Vecsmall([1])], Vecsmall([1])], Vecsmall([0])], Mat([-2, -3])],
 Mat([-3, -1, -3])]]]
[[[5, 1, [2, 2; 5, 2; 39821, 1; 161141, 1]]], [[]], [], [[10, 2, [2, 6; 5, 4
; 39821, 2; 161141, 2]], []]]
[[[0, 0, 0]], [[]], [], [[0, 0, 0], []]]
[[[[matrix(0,2), 0, 0, 0]], [[Mat([50, 1]), 0, 0, 0]], [], [[Mat([50, 2]), 0
, 0, 0], [Mat([56, 1]), 0, 0, 0]]]]
  ***   at top-level: nfinit([y^3+2,[1,x]]
  ***                 ^--------------------
  *** nfinit: incorrect type in nfbasic_init (t_VEC).
  ***   at top-level: nfinit([y^3+2,[1,x,x
  ***                 ^--------------------
  *** nfinit: incorrect type in nfbasic_init (t_VEC).
  ***   at top-level: nfinit([y^3+2,[1,y^5
  ***                 ^--------------------
  *** nfinit: incorrect type in nfbasic_init (t_VEC).
2
[6416795761]
  ***   at top-level: nfnewprec(x)
  ***                 ^------------
  *** nfnewprec: incorrect type in nfnewprec (t_POL).
  ***   at top-level: nfnewprec(quadgen(5)
  ***                 ^--------------------
  *** nfnewprec: incorrect type in nfnewprec (t_QUAD).
  ***   at top-level: nfnewprec(vector(5))
  ***                 ^--------------------
  *** nfnewprec: incorrect type in nfnewprec (t_VEC).
  ***   at top-level: nfnewprec(vector(6))
  ***                 ^--------------------
  *** nfnewprec: incorrect type in nfnewprec (t_VEC).
  ***   at top-level: nfnewprec(vector(8))
  ***                 ^--------------------
  *** nfnewprec: incorrect type in nfnewprec (t_VEC).
  ***   at top-level: nfnewprec(vector(9))
  ***                 ^--------------------
  *** nfnewprec: incorrect type in nfnewprec (t_VEC).
  ***   at top-level: nfnewprec(vector(16)
  ***                 ^--------------------
  *** nfnewprec: incorrect type in nfnewprec (t_VEC).
[x^7 - x^6 + x^5 - x^4 - x^3 - x^2, x^9 + x^8 + x^7 + x^6 + 2*x^4 + 2*x^3 + 
x^2 + x + 1, x^10 + x^9 - x^8 - x^3 - x^2 - x, x^10 + x^9 + 2*x^7 + x^6 + x^
5 + x^4 + 2*x^2 + x + 1, -x^11 - 2*x^10 - x^8 - 2*x^7 - x^6 - x^5 - 2*x^4 - 
x^3 - 2*x^2 - x - 1, -x^11 - x^10 - 2*x^9 - x^8 - 2*x^7 - x^6 - 2*x^5 - x^4 
- x^2 - 2*x - 1, -x^11 - x^10 - x^9 + x^8 - x^7 + x^6, -x^11 - x^9 - x^6 + x
^4 - x^3 + x, x^11 - x^10 + x^6 - x^5 - x^2 - x, x^11 - x^8 - x^7 + x^5 - x^
4 - x, x^11 + x^10 + 2*x^8 + x^7 + x^4 + x^3 + 2*x^2 + x + 1, x^11 + 2*x^10 
+ x^9 + x^7 + x^5 + x^3 + x^2 + 2*x + 1]
[-x^2, x^2]
1
[x^10 + Mod(-5/2*y + 5/2, y^2 - 5)*x^9 + Mod(-5*y + 20, y^2 - 5)*x^8 + Mod(-
20*y + 30, y^2 - 5)*x^7 + Mod(-45/2*y + 145/2, y^2 - 5)*x^6 + Mod(-71/2*y + 
121/2, y^2 - 5)*x^5 + Mod(-20*y + 60, y^2 - 5)*x^4 + Mod(-25*y + 5, y^2 - 5)
*x^3 + 45*x^2 + Mod(-5*y + 15, y^2 - 5)*x + Mod(-2*y + 6, y^2 - 5), x^10 + M
od(5/2*y + 5/2, y^2 - 5)*x^9 + Mod(5*y + 20, y^2 - 5)*x^8 + Mod(20*y + 30, y
^2 - 5)*x^7 + Mod(45/2*y + 145/2, y^2 - 5)*x^6 + Mod(79/2*y + 121/2, y^2 - 5
)*x^5 + Mod(25*y + 85, y^2 - 5)*x^4 + Mod(15*y + 55, y^2 - 5)*x^3 + Mod(10*y
 - 5, y^2 - 5)*x^2 - 10*x + Mod(-2*y + 6, y^2 - 5)]
[x^10 + Mod(-5/2*y + 5/2, y^2 - 5)*x^9 + Mod(-5*y + 20, y^2 - 5)*x^8 + Mod(-
20*y + 30, y^2 - 5)*x^7 + Mod(-45/2*y + 145/2, y^2 - 5)*x^6 + Mod(-71/2*y + 
121/2, y^2 - 5)*x^5 + Mod(-20*y + 60, y^2 - 5)*x^4 + Mod(-25*y + 5, y^2 - 5)
*x^3 + 45*x^2 + Mod(-5*y + 15, y^2 - 5)*x + Mod(-2*y + 6, y^2 - 5), Mod(Mod(
26/2945*y - 653/5890, y^2 - 5)*x^9 + Mod(1633/5890*y - 869/2945, y^2 - 5)*x^
8 + Mod(2951/5890*y - 5939/2945, y^2 - 5)*x^7 + Mod(21757/11780*y - 29451/11
780, y^2 - 5)*x^6 + Mod(18733/11780*y - 69587/11780, y^2 - 5)*x^5 + Mod(1445
/589*y - 9436/2945, y^2 - 5)*x^4 + Mod(7893/11780*y - 34679/11780, y^2 - 5)*
x^3 + Mod(9461/5890*y + 3919/2945, y^2 - 5)*x^2 + Mod(-8383/11780*y - 54699/
11780, y^2 - 5)*x + Mod(261/589*y - 2467/2945, y^2 - 5), x^10 + Mod(-5/2*y +
 5/2, y^2 - 5)*x^9 + Mod(-5*y + 20, y^2 - 5)*x^8 + Mod(-20*y + 30, y^2 - 5)*
x^7 + Mod(-45/2*y + 145/2, y^2 - 5)*x^6 + Mod(-71/2*y + 121/2, y^2 - 5)*x^5 
+ Mod(-20*y + 60, y^2 - 5)*x^4 + Mod(-25*y + 5, y^2 - 5)*x^3 + 45*x^2 + Mod(
-5*y + 15, y^2 - 5)*x + Mod(-2*y + 6, y^2 - 5)), Mod(Mod(26/2945*y - 653/589
0, y^2 - 5)*x^9 + Mod(1633/5890*y - 869/2945, y^2 - 5)*x^8 + Mod(2951/5890*y
 - 5939/2945, y^2 - 5)*x^7 + Mod(21757/11780*y - 29451/11780, y^2 - 5)*x^6 +
 Mod(18733/11780*y - 69587/11780, y^2 - 5)*x^5 + Mod(1445/589*y - 9436/2945,
 y^2 - 5)*x^4 + Mod(7893/11780*y - 34679/11780, y^2 - 5)*x^3 + Mod(9461/5890
*y + 3919/2945, y^2 - 5)*x^2 + Mod(-8383/11780*y - 42919/11780, y^2 - 5)*x +
 Mod(261/589*y - 2467/2945, y^2 - 5), x^10 + Mod(-5/2*y + 5/2, y^2 - 5)*x^9 
+ Mod(-5*y + 20, y^2 - 5)*x^8 + Mod(-20*y + 30, y^2 - 5)*x^7 + Mod(-45/2*y +
 145/2, y^2 - 5)*x^6 + Mod(-71/2*y + 121/2, y^2 - 5)*x^5 + Mod(-20*y + 60, y
^2 - 5)*x^4 + Mod(-25*y + 5, y^2 - 5)*x^3 + 45*x^2 + Mod(-5*y + 15, y^2 - 5)
*x + Mod(-2*y + 6, y^2 - 5)), -1]
Mod(0, x^10 + Mod(-5/2*y + 5/2, y^2 - 5)*x^9 + Mod(-5*y + 20, y^2 - 5)*x^8 +
 Mod(-20*y + 30, y^2 - 5)*x^7 + Mod(-45/2*y + 145/2, y^2 - 5)*x^6 + Mod(-71/
2*y + 121/2, y^2 - 5)*x^5 + Mod(-20*y + 60, y^2 - 5)*x^4 + Mod(-25*y + 5, y^
2 - 5)*x^3 + 45*x^2 + Mod(-5*y + 15, y^2 - 5)*x + Mod(-2*y + 6, y^2 - 5))
1
[Mod(1, y^2 - 5)*x^5 + Mod(y, y^2 - 5), x^10 + Mod(77*y - 275, y^2 - 5)*x^5 
+ Mod(-41525*y + 96630, y^2 - 5), x^10 + Mod(77*y + 275, y^2 - 5)*x^5 + Mod(
41525*y + 96630, y^2 - 5)]
x^10 + 5*x^9 + 15*x^8 + 30*x^7 + 45*x^6 + Mod(2*y + 51, y^2 - 5)*x^5 + Mod(5
*y + 45, y^2 - 5)*x^4 + Mod(-10*y + 30, y^2 - 5)*x^3 + Mod(-20*y + 15, y^2 -
 5)*x^2 + Mod(-5*y + 5, y^2 - 5)*x + Mod(y + 6, y^2 - 5)
[x^10 + 5*x^9 + 15*x^8 + 30*x^7 + 45*x^6 + Mod(2*y + 51, y^2 - 5)*x^5 + Mod(
5*y + 45, y^2 - 5)*x^4 + Mod(-10*y + 30, y^2 - 5)*x^3 + Mod(-20*y + 15, y^2 
- 5)*x^2 + Mod(-5*y + 5, y^2 - 5)*x + Mod(y + 6, y^2 - 5), Mod(Mod(-32280/62
2201, y^2 - 5)*x^9 + Mod(22275/622201*y - 145260/622201, y^2 - 5)*x^8 + Mod(
89100/622201*y - 397350/622201, y^2 - 5)*x^7 + Mod(244100/622201*y - 22995/2
0071, y^2 - 5)*x^6 + Mod(420450/622201*y - 918351/622201, y^2 - 5)*x^5 + Mod
(510720/622201*y - 852705/622201, y^2 - 5)*x^4 + Mod(424640/622201*y - 23827
5/622201, y^2 - 5)*x^3 + Mod(871950/622201*y + 235710/622201, y^2 - 5)*x^2 +
 Mod(714855/622201*y - 1610346/622201, y^2 - 5)*x + Mod(-62626/622201*y - 86
0751/622201, y^2 - 5), x^10 + 5*x^9 + 15*x^8 + 30*x^7 + 45*x^6 + Mod(2*y + 5
1, y^2 - 5)*x^5 + Mod(5*y + 45, y^2 - 5)*x^4 + Mod(-10*y + 30, y^2 - 5)*x^3 
+ Mod(-20*y + 15, y^2 - 5)*x^2 + Mod(-5*y + 5, y^2 - 5)*x + Mod(y + 6, y^2 -
 5)), Mod(Mod(-32280/622201, y^2 - 5)*x^9 + Mod(22275/622201*y - 145260/6222
01, y^2 - 5)*x^8 + Mod(89100/622201*y - 397350/622201, y^2 - 5)*x^7 + Mod(24
4100/622201*y - 22995/20071, y^2 - 5)*x^6 + Mod(420450/622201*y - 918351/622
201, y^2 - 5)*x^5 + Mod(510720/622201*y - 852705/622201, y^2 - 5)*x^4 + Mod(
424640/622201*y - 238275/622201, y^2 - 5)*x^3 + Mod(871950/622201*y + 235710
/622201, y^2 - 5)*x^2 + Mod(714855/622201*y - 988145/622201, y^2 - 5)*x + Mo
d(-62626/622201*y - 860751/622201, y^2 - 5), x^10 + 5*x^9 + 15*x^8 + 30*x^7 
+ 45*x^6 + Mod(2*y + 51, y^2 - 5)*x^5 + Mod(5*y + 45, y^2 - 5)*x^4 + Mod(-10
*y + 30, y^2 - 5)*x^3 + Mod(-20*y + 15, y^2 - 5)*x^2 + Mod(-5*y + 5, y^2 - 5
)*x + Mod(y + 6, y^2 - 5)), -1]
[x^2 + x + 1, Mod(0, x^2 + x + 1), Mod(x, x^2 + x + 1), -1]
[25339, [10960, 0, 0, -3420]~]
  ***   at top-level: nfcompositum(nfinit(
  ***                 ^--------------------
  *** nfcompositum: incorrect priority in polcompositum: variable x == x
  ***   at top-level: nfcompositum(nfinit(
  ***                 ^--------------------
  *** nfcompositum: incorrect priority in polcompositum: variable x == x
  ***   at top-level: nfcompositum(nfinit(
  ***                 ^--------------------
  *** nfcompositum: incorrect priority in nffactor: variable y >= x
[x^3 - 3*x^2 + 3*x + 1, x^6 + 3*x^5 + 6*x^4 + 11*x^3 + 12*x^2 - 3*x + 1]
  ***   at top-level: nfcompositum(bnfinit
  ***                 ^--------------------
  *** nfcompositum: incorrect priority in polcompositum: variable x == x
[x^3 - 3*x^2 + 3*x + 1, x^6 + 3*x^5 + 6*x^4 + 11*x^3 + 12*x^2 - 3*x + 1]
  ***   at top-level: nfisisom(x,x^0)
  ***                 ^---------------
  *** nfisisom: not an irreducible polynomial in nfisincl: 1.
[[4]~, [33/343, 2/2401]~]
  ***   at top-level: idealhnf(nfinit(a^2+1),3,(a^2
  ***                          ^--------------------
  *** nfinit: incorrect type in checknf [please apply nfinit()] (t_POLMOD).
Mod(0, x - 1)
Mod(-6/5, x - 1)
Total time spent: 1564
