20915648110955829231381594293324156411897455346679838307589120000
571459344155975480004612560667633185714077696
20/3
-5
13
0
5/2
-1
1024/243
-1
31
-11
1/32
15853839
1736217747
16/9
1
[13, 5, 6, 2, 1]~
[2, 0, 1, 0, 0]~
1/4
[-1071, -384, -251, -155, 20]~
[3, 6; y, 4]
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, -19678/15
853839]~
[3, -3; y, -2]
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]~
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, 3; y, 2; 4/3, -1]
-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]~
[3, 3; y, 2; -1, -1]
[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]~
[3, 3; y, 2; y^2 + y + 1, -1]
[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, 3; y, 2; Mod(y, y^5 - 4*y^3 + 2*y + 11), -1]
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, 3; y, 2; Mod(1/2, y^5 - 4*y^3 + 2*y + 11), -1]
[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]~
[3, 3; y, 2; [1, 2, 3, 4, 5]~, -1]
[3, 3; y, 2; 4/3, -1]
[3, 3; y, 2; -1, -1]
[3, 3; y, 2; y^2 + y + 1, -1]
[3, 3; y, 2; Mod(y, y^5 - 4*y^3 + 2*y + 11), -1]
[3, 3; y, 2; Mod(1/2, y^5 - 4*y^3 + 2*y + 11), -1]
[3, 3; y, 2; [1, 2, 3, 4, 5]~, -1]
[3, 3; y, 2; 3, -3; y, -2]
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]~
[3, 3; y, 2; 4/3, 1]
-4/3
1
[-3, -1, -1, 0, 0]~
[0, -1, 0, 0, 0]~
-1/2
[-1, -2, -3, -4, -5]~
[3, 3; y, 2; -1, 1]
[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]~
[3, 3; y, 2; y^2 + y + 1, 1]
[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]~
[3, 3; y, 2; Mod(y, y^5 - 4*y^3 + 2*y + 11), 1]
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]~
[3, 3; y, 2; Mod(1/2, y^5 - 4*y^3 + 2*y + 11), 1]
[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]~
[3, 3; y, 2; [1, 2, 3, 4, 5]~, 1]
[3, 3; y, 2; 4/3, 1]
[3, 3; y, 2; -1, 1]
[3, 3; y, 2; y^2 + y + 1, 1]
[3, 3; y, 2; Mod(y, y^5 - 4*y^3 + 2*y + 11), 1]
[3, 3; y, 2; Mod(1/2, y^5 - 4*y^3 + 2*y + 11), 1]
[3, 3; y, 2; [1, 2, 3, 4, 5]~, 1]
[3, 3; y, 2; 3, 3; y, 2]
[1]
[1, 1/2*x - 1/2]
[1, x, x^2, 1/37*x^3 - 15/37*x^2 + 1/37*x]
[1, x, x^2, 1/37*x^3 - 15/37*x^2 + 1/37*x]
1591637628352930672717229
51397
[x^2 + x + 1, [0, 1], -3, 1, [Mat([1, -0.50000000000000000000000000000000000
000 + 0.86602540378443864676372317075293618347*I]), [1, 0.366025403784438646
76372317075293618347; 1, -1.3660254037844386467637231707529361835], [16, 6; 
16, -22], [2, -1; -1, -1], [3, 2; 0, 1], [1, -1; -1, -2], [3, [2, -1; 1, 1]]
, [3]~], [-0.50000000000000000000000000000000000000 + 0.86602540378443864676
372317075293618347*I], [1, x], [1, 0; 0, 1], [1, 0, 0, -1; 0, 1, 1, -1]]
2
[6416795761]
[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]
[-x^2, x^2]
[-x^2, x^2]
0
[35952239140236636613554193911666/20990466712995598590763903143048989*x^20 +
 219201047314343953199542006623468/20990466712995598590763903143048989*x^19 
- 544094474369607287844071682948984/20990466712995598590763903143048989*x^18
 - 1301738076793130194798253391725406/20990466712995598590763903143048989*x^
17 + 4323784229146831865769550863399188/20990466712995598590763903143048989*
x^16 + 1180785226777964111519743237847228/2099046671299559859076390314304898
9*x^15 - 16009478553791306868545675624906176/2099046671299559859076390314304
8989*x^14 + 11661369832298820433335186698644800/2099046671299559859076390314
3048989*x^13 + 24577904562406269454374516161861844/2099046671299559859076390
3143048989*x^12 - 2841411922644145137800873408789776/12347333360585646229861
11949591117*x^11 + 40513760532585028733891495151094508/209904667129955985907
63903143048989*x^10 + 77137274588135205291798303592401638/209904667129955985
90763903143048989*x^9 - 9612104031689093945033225402487055/12347333360585646
22986111949591117*x^8 + 844775560812208284237807638227260/209904667129955985
90763903143048989*x^7 - 153457335161602039094310022600574514/209904667129955
98590763903143048989*x^6 + 454725983158981264651921915989314030/209904667129
95598590763903143048989*x^5 - 247595736314170743760908290075787460/209904667
12995598590763903143048989*x^4 + 246411488365177430998635983532374564/209904
66712995598590763903143048989*x^3 - 300616800198203967230858561992730353/209
90466712995598590763903143048989*x^2 + 62128367926034523995700779963870389/2
0990466712995598590763903143048989*x + 73920020404088609656492594951950857/2
0990466712995598590763903143048989]
0
[-z^2, z^2]
0
[-1/2*x, 1/2*x]
[-2*x, 2*x]
[-z, z]
x^2 + 1
[-1/81*x^4, 1/162*x^4 - 1/2*x, 1/162*x^4 + 1/2*x]
[-1/2187*x^4, 1/4374*x^4 - 1/2*x, 1/4374*x^4 + 1/2*x]
-1/81*x^4
-1/2187*x^4
[x]
x
[25339, [165, 0, 0, 4]~]
Mod(1/2*x - 1/2, x^2 + 23)
[1, 2]~
[1, 1/2*x - 1/2]
Mod(0, x)
Mod(-6/5, x)
  ***   at top-level: nfinit([y^3+2,[1,x]])
  ***                 ^---------------------
  *** nfinit: incorrect type in nfinit_basic (t_VEC).
  ***   at top-level: nfinit([y^3+2,[1,x,x^2]])
  ***                 ^-------------------------
  *** nfinit: incorrect type in nfinit_basic (t_VEC).
  ***   at top-level: nfinit([y^3+2,[1,y^5,y]])
  ***                 ^-------------------------
  *** nfinit: incorrect type in nfinit_basic (t_VEC).
  ***   at top-level: nfdisc([y^2+2,matid(3)])
  ***                 ^------------------------
  *** nfdisc: incorrect type in nfmaxord (t_MAT).
  ***   at top-level: nfdisc([2*y^2+1,matid(3)])
  ***                 ^--------------------------
  *** nfdisc: incorrect type in nfbasis [factorization expected] (t_MAT).
  ***   at top-level: nfdisc([y^2+2,""])
  ***                 ^------------------
  *** nfdisc: incorrect type in nfmaxord (t_STR).
  ***   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).
  ***   at top-level: nfisincl(y^2+1,z^4+z^2+1)
  ***                 ^-------------------------
  *** nfisincl: not an irreducible polynomial in nfisincl: z^4 + z^2 + 1.
  ***   at top-level: nfisisom(x,x^0)
  ***                 ^---------------
  *** nfisisom: not an irreducible polynomial in nfisincl: 1.
  ***   at top-level: idealhnf(nf,3,('a^2+1)*Mod(1,3))
  ***                 ^--------------------------------
  *** idealhnf: incorrect type in nf_to_scalar_or_basis (t_INTMOD).
  ***   at top-level: nfalgtobasis(nf,['a,'a]~)
  ***                 ^-------------------------
  *** nfalgtobasis: incorrect type in nfalgtobasis (t_COL).
[-4*x^2, 4*x^2]
[-77/171*x^16 + 28/19*x^13 - 1222/171*x^10 - 1205/171*x^7 - 734/57*x^4 + 161
/171*x, -73/171*x^16 + 232/171*x^13 - 1141/171*x^10 - 1249/171*x^7 - 2210/17
1*x^4 - 274/171*x, -4/19*x^16 + 104/171*x^13 - 520/171*x^10 - 89/19*x^7 - 12
01/171*x^4 - 151/171*x, -32/171*x^16 + 28/57*x^13 - 439/171*x^10 - 845/171*x
^7 - 403/57*x^4 - 586/171*x, 5/171*x^16 - 2/57*x^13 + 49/171*x^10 + 230/171*
x^7 + 136/57*x^4 + 202/171*x, 3/19*x^16 - 26/57*x^13 + 130/57*x^10 + 205/57*
x^7 + 89/19*x^4 + 128/57*x, 31/171*x^16 - 98/171*x^13 + 157/57*x^10 + 571/17
1*x^7 + 793/171*x^4 - 17/57*x, 46/171*x^16 - 154/171*x^13 + 751/171*x^10 + 6
34/171*x^7 + 1409/171*x^4 - 110/171*x, 109/171*x^16 - 112/57*x^13 + 1661/171
*x^10 + 2050/171*x^7 + 379/19*x^4 + 425/171*x]
Total time spent: 809
