bash-2.05$ gp
                  GP/PARI CALCULATOR Version 2.1.3 (released)
                       i386 running netbsd 32-bit version
                (readline v1.0 enabled, extended help available)

                       Copyright (C) 2000 The PARI Group

PARI/GP is free software, covered by the GNU General Public License, and 
comes WITHOUT ANY WARRANTY WHATSOEVER.

Type ? for help, \q to quit.
Type ?12 for how to get moral (and possibly technical) support.

   realprecision = 28 significant digits
   seriesprecision = 16 significant terms
   format = g0.28

parisize = 4000000, primelimit = 500000
? z=Mod(x,x^16+1)
%1 = Mod(x, x^16 + 1)
? r(q)=1+(1+x)^5-q*(1+x)^6
? no(q)=prod(i=1,16,subst(q,x,z^(2*i-1)))
? r(0)
%2 = x^5 + 5*x^4 + 10*x^3 + 10*x^2 + 5*x + 2
? no(r(0))
%3 = Mod(319076125217, x^16 + 1)
? no(r(-1))
%4 = Mod(11407665009076097, x^16 + 1)
? no(r(1+x))
%5 = Mod(5619422242057249, x^16 + 1)
? bnf=bnfinit(x^16+1)
%6 = [[;], matrix(0,105), [1.762747174039086050465218649 + 42.80419990516093287405351609*I, -2.899464222354149807140739176 - 7.068583470577034786540947612*I, -0.3303176099920407650684584541 + 61.26105674500096815002154597*I, 0.6588673968680038203828334120 + 8.246680715673207250964438881*I, -4.393920835753123575640791190 + 48.30198704894307104136314201*I, 2.222481390778457010345606912 + 8.246680715673207250964438881*I, 1.958860968835627326922267880 + 20.02765316663493189519935156*I; 1.762747174039086050465218649 + 35.73561643458389808751256848*I, 1.136717048315063756675520526 + 13.35176877775662126346623437*I, 2.093064784031126815533677104 + 20.42035224833365605000718199*I, -0.07837466094353974976150717371 + 26.31083847381451837212463833*I, -0.8221439205205635702467473539 - 26.31083847381451837212463833*I, 0.1632765236525597498639139418 + 20.02765316663493189519935156*I, -4.393920835753123575640791190 - 54.58517235612265751828842878*I; -1.762747174039086050465218650 + 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0, 0, 0, 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, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 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, 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, 0, 0, 0, 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, 0, 0, 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, 0, 0, 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, 0, 0, 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, 0, 0, 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, 0, 0, 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, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0; 0, 0, 0, 0, 0, 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, 0, 0, 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, 0, 0, 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, 0, 0, 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, 0, 0, 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, 0, 0, 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, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 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, 0, 0, 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, 0, 0, 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, 0, 0, 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, 0, 0, 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, 0, 0, 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, 0, 0, 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, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]], [[1, [], []], 15753.94986242651153638414374, 1.014820171805840936, [32, x], [x^11 - x^7 + x^3, x^12 + x^10 + x^8, x^14 - x^10 + x^4, x^15 + x^10 - x^4, x^2 - x + 1, x^15 - x^13 - x^10 + x^8 - x^6 + x^4 + x, x^9 + x^2 - 1], 245], [[;], [], []], 0]
? for(i=1,64,print([i,bnfisnorm(bnf,i,0)]))
[1, [Mod(1, #), 1]]
[2, [Mod(-x^9 + x^6, x^16 + 1), 1]]
[3, [Mod(1, x^16 + 1), 3]]
[4, [Mod(-2*x^15 + x^12 - x^2, x^16 + 1), 1]]
[5, [Mod(1, x^16 + 1), 5]]
[6, [Mod(-x^9 + x^6, x^16 + 1), 3]]
[7, [Mod(1, x^16 + 1), 7]]
[8, [Mod(x^11 - 3*x^8 + 3*x^5 - x^2, x^16 + 1), 1]]
[9, [Mod(1, x^16 + 1), 9]]
[10, [Mod(-x^9 + x^6, x^16 + 1), 5]]
[11, [Mod(1, x^16 + 1), 11]]
[12, [Mod(-2*x^15 + x^12 - x^2, x^16 + 1), 3]]
[13, [Mod(1, x^16 + 1), 13]]
[14, [Mod(-x^9 + x^6, x^16 + 1), 7]]
[15, [Mod(1, x^16 + 1), 15]]
[16, [Mod(-6*x^14 + 4*x^11 - x^8 + x^4 - 4*x, x^16 + 1), 1]]
[17, [Mod(1, x^16 + 1), 17]]
[18, [Mod(-x^9 + x^6, x^16 + 1), 9]]
[19, [Mod(1, x^16 + 1), 19]]
[20, [Mod(-2*x^15 + x^12 - x^2, x^16 + 1), 5]]
[21, [Mod(1, x^16 + 1), 21]]
[22, [Mod(-x^9 + x^6, x^16 + 1), 11]]
[23, [Mod(1, x^16 + 1), 23]]
[24, [Mod(x^11 - 3*x^8 + 3*x^5 - x^2, x^16 + 1), 3]]
[25, [Mod(1, x^16 + 1), 25]]
[26, [Mod(-x^9 + x^6, x^16 + 1), 13]]
[27, [Mod(1, x^16 + 1), 27]]
[28, [Mod(-2*x^15 + x^12 - x^2, x^16 + 1), 7]]
[29, [Mod(1, x^16 + 1), 29]]
[30, [Mod(-x^9 + x^6, x^16 + 1), 15]]
[31, [Mod(1, x^16 + 1), 31]]
[32, [Mod(-x^14 - x^13 + 5*x^10 - 10*x^7 + 10*x^4 - 5*x, x^16 + 1), 1]]
[33, [Mod(1, x^16 + 1), 33]]
[34, [Mod(-x^9 + x^6, x^16 + 1), 17]]
[35, [Mod(1, x^16 + 1), 35]]
[36, [Mod(-2*x^15 + x^12 - x^2, x^16 + 1), 9]]
[37, [Mod(1, x^16 + 1), 37]]
[38, [Mod(-x^9 + x^6, x^16 + 1), 19]]
[39, [Mod(1, x^16 + 1), 39]]
[40, [Mod(x^11 - 3*x^8 + 3*x^5 - x^2, x^16 + 1), 5]]
[41, [Mod(1, x^16 + 1), 41]]
[42, [Mod(-x^9 + x^6, x^16 + 1), 21]]
[43, [Mod(1, x^16 + 1), 43]]
[44, [Mod(-2*x^15 + x^12 - x^2, x^16 + 1), 11]]
[45, [Mod(1, x^16 + 1), 45]]
[46, [Mod(-x^9 + x^6, x^16 + 1), 23]]
[47, [Mod(1, x^16 + 1), 47]]
[48, [Mod(-6*x^14 + 4*x^11 - x^8 + x^4 - 4*x, x^16 + 1), 3]]
[49, [Mod(1, x^16 + 1), 49]]
[50, [Mod(-x^9 + x^6, x^16 + 1), 25]]
[51, [Mod(1, x^16 + 1), 51]]
[52, [Mod(-2*x^15 + x^12 - x^2, x^16 + 1), 13]]
[53, [Mod(1, x^16 + 1), 53]]
[54, [Mod(-x^9 + x^6, x^16 + 1), 27]]
[55, [Mod(1, x^16 + 1), 55]]
[56, [Mod(x^11 - 3*x^8 + 3*x^5 - x^2, x^16 + 1), 7]]
[57, [Mod(1, x^16 + 1), 57]]
[58, [Mod(-x^9 + x^6, x^16 + 1), 29]]
[59, [Mod(1, x^16 + 1), 59]]
[60, [Mod(-2*x^15 + x^12 - x^2, x^16 + 1), 15]]
[61, [Mod(1, x^16 + 1), 61]]
[62, [Mod(-x^9 + x^6, x^16 + 1), 31]]
[63, [Mod(1, x^16 + 1), 63]]
[64, [Mod(-20*x^13 + 15*x^10 - 6*x^7 - x^6 + x^4 + 6*x^3 - 15, x^16 + 1), 1]]
? for(i=1,64,print([i,bnfisintnorm(bnf,i)]))
[1, [1]]
[2, [-x^9 + x^6]]
[3, []]
[4, [-x^13 - x^3]]
[5, []]
[6, []]
[7, []]
[8, [x^13 + x^6 - x^3 + 1]]
[9, []]
[10, []]
[11, []]
[12, []]
[13, []]
[14, []]
[15, []]
[16, [x^4 + 1]]
[17, []]
[18, []]
[19, []]
[20, []]
[21, []]
[22, []]
[23, []]
[24, []]
[25, []]
[26, []]
[27, []]
[28, []]
[29, []]
[30, []]
[31, []]
[32, [-x^13 + x^10 - x^9 + x^6]]
[33, []]
[34, []]
[35, []]
[36, []]
[37, []]
[38, []]
[39, []]
[40, []]
[41, []]
[42, []]
[43, []]
[44, []]
[45, []]
[46, []]
[47, []]
[48, []]
[49, []]
[50, []]
[51, []]
[52, []]
[53, []]
[54, []]
[55, []]
[56, []]
[57, []]
[58, []]
[59, []]
[60, []]
[61, []]
[62, []]
[63, []]
[64, [x^11 - x^9 + x^7 - x^5]]
? bnfcertify(bnf)
%51 = 1
? idealfactor(bnf,Mod(-x^9 + x^6, x^16 + 1))
%52 = 
[[2, [1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 16, 1, [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1]~] 1]

? idealfactor(bnf,Mod(-2*x^15 + x^12 - x^2, x^16 + 1))
%53 = 
[[2, [1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 16, 1, [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1]~] 2]

? idealfactor(bnf,Mod(x^11 - 3*x^8 + 3*x^5 - x^2, x^16 + 1))
%54 = 
[[2, [1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 16, 1, [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1]~] 3]

? idealfactor(bnf,Mod(-6*x^14 + 4*x^11 - x^8 + x^4 - 4*x, x^16 + 1))
%55 = 
[[2, [1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 16, 1, [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1]~] 4]

? idealfactor(bnf,Mod(-x^14 - x^13 + 5*x^10 - 10*x^7 + 10*x^4 - 5*x, x^16 + 1))
%56 = 
[[2, [1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 16, 1, [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1]~] 5]

? idealdiv(bnf,Mod(-2*x^15 + x^12 - x^2, x^16 + 1),Mod(-x^9 + x^6, x^16 + 1))
%57 = 
[2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1]

[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0]

[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0]

[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0]

[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0]

[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0]

[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0]

[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0]

[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0]

[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0]

[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0]

[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0]

[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0]

[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0]

[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0]

[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1]

? idealprimedec(bnf,3)
%58 = [[3, [-1, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 8, [-1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0]~], [3, [-1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 8, [-1, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0]~]]
? idealprimedec(bnf,5)
%59 = [[5, [-2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 8, [2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0]~], [5, [2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 8, [-2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0]~]]
? idealprimedec(bnf,2)
%60 = [[2, [1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 16, 1, [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1]~]]
? idealprimedec(bnf,7)
%61 = [[7, [-1, 0, 3, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 4, [-1, 0, -3, 0, -3, 0, 2, 0, 3, 0, -3, 0, 1, 0, 0, 0]~], [7, [-1, 0, -3, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 4, [-1, 0, 3, 0, -3, 0, -2, 0, 3, 0, 3, 0, 1, 0, 0, 0]~], [7, [-1, 0, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 4, [-1, 0, 1, 0, -2, 0, 3, 0, 2, 0, 1, 0, 1, 0, 0, 0]~], [7, [-1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 4, [-1, 0, -1, 0, -2, 0, -3, 0, 2, 0, -1, 0, 1, 0, 0, 0]~]]
? idealprimedec(bnf,11)
%62 = [[11, [-1, 0, 0, 0, -3, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 8, [-1, 0, 0, 0, 3, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0]~], [11, [-1, 0, 0, 0, 3, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 8, [-1, 0, 0, 0, -3, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0]~]]
? idealprimedec(bnf,13)
%63 = [[13, [-5, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 8, [5, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0]~], [13, [5, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 8, [-5, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0]~]]
? idealprimedec(bnf,17)
%64 = [[17, [5, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 2, [7, 0, 2, 0, 3, 0, -4, 0, -6, 0, 8, 0, -5, 0, 1, 0]~], [17, [6, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 2, [3, 0, 8, 0, -7, 0, 4, 0, 5, 0, 2, 0, -6, 0, 1, 0]~], [17, [7, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 2, [5, 0, -8, 0, 6, 0, 4, 0, -3, 0, -2, 0, -7, 0, 1, 0]~], [17, [-7, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 2, [-5, 0, -8, 0, -6, 0, 4, 0, 3, 0, -2, 0, 7, 0, 1, 0]~], [17, [-6, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 2, [-3, 0, 8, 0, 7, 0, 4, 0, -5, 0, 2, 0, 6, 0, 1, 0]~], [17, [-5, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 2, [-7, 0, 2, 0, -3, 0, -4, 0, 6, 0, 8, 0, 5, 0, 1, 0]~], [17, [-3, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 2, [-6, 0, -2, 0, 5, 0, -4, 0, -7, 0, -8, 0, 3, 0, 1, 0]~], [17, [3, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 2, [6, 0, -2, 0, -5, 0, -4, 0, 7, 0, -8, 0, -3, 0, 1, 0]~]]
? idealprimedec(bnf,19)
%65 = [[19, [-1, 0, 0, 0, -6, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 8, [-1, 0, 0, 0, 6, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0]~], [19, [-1, 0, 0, 0, 6, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 8, [-1, 0, 0, 0, -6, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0]~]]
? bnf.disc
%66 = 18446744073709551616
? factor(%66)
%67 = 
[2 64]

? ideallist(bnf,63)
%68 = [[[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0; 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0; 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0; 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0; 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0; 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0; 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0; 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0; 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0; 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0; 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0; 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0; 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0; 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0; 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0; 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1]], [[2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1; 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0; 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0; 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0; 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0; 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0; 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0; 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0; 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0; 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0; 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0; 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0; 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0; 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0; 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0; 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1]], [], [[2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0; 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1; 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0; 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0; 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0; 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0; 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0; 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0; 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0; 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0; 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0; 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0; 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0; 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0; 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0; 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1]], [], [], [], [[2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1; 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1; 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1; 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0; 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0; 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0; 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0; 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0; 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0; 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0; 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0; 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0; 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0; 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0; 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0; 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1]], [], [], [], [], [], [], [], [[2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0; 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0; 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0; 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1; 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0; 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0; 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0; 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0; 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0; 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0; 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0; 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0; 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0; 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0; 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0; 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1]], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [[2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1; 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0; 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0; 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1; 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1; 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0; 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0; 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0; 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0; 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0; 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0; 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0; 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0; 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0; 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0; 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1]], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], []]
? bnf.clgp.no
%69 = 1
? bnf.fu
%70 = [x^11 - x^7 + x^3, x^12 + x^10 + x^8, x^14 - x^10 + x^4, x^15 + x^10 - x^4, x^2 - x + 1, x^15 - x^13 - x^10 + x^8 - x^6 + x^4 + x, x^9 + x^2 - 1]
? bnf.tu
%71 = [32, x]
? quit;
Good bye!
bash-2.05$