Group GAP4(128,130)

Name: C32 : C4
Maximal quotient:GAP4(64,27)
Real polynomial:
x^128-1280*x^126+790400*x^124-313728000*x^122+89985080000*x^120-198792684800\
00*x^118+3520688520000000*x^116-513716965312000000*x^114+6298853051060500000\
0*x^112-6586815325228000000000*x^110+594201139729110800000000*x^108-46660320\
219785872000000000*x^106+3212497185079556673000000000*x^104-1950456915362301\
62640000000000*x^102+10492181839060675660200000000000*x^100-5019707816884388\
10264000000000000*x^98+21423868822040085862123836250000000*x^96-817661167351\
711363126313200000000000*x^94+27958671560741928556300681000000000000*x^92-85\
7688279342594076832696520000000000000*x^90+236279363381511063598905203225000\
00000000*x^88-584852497464373656015137319800000000000000*x^86+13009807690684\
209448959244275500000000000000*x^84-2600316265887325911122701311400000000000\
00000*x^82+4667577093646167856468580822097187500000000000*x^80-7517988312824\
1712889060546706950000000000000000*x^78+108529547022221128562346319856712500\
0000000000000*x^76-14020964362576673618123773967845000000000000000000*x^74+1\
61805266718779629475397381089897812500000000000000*x^72-16643494413342947787\
21278908543125000000000000000000*x^70+15220637840080737552157992933417562500\
000000000000000*x^68-123395799531284512805158718234757500000000000000000000*\
x^66+883954603695719098741830897196462172460937500000000000*x^64-55749801209\
28842430130866086759866375000000000000000000*x^62+30832103623045323589649733\
798892091562500000000000000000*x^60-1488747618186740273553013259801357125000\
00000000000000000*x^58+62470426208816680827087256716178667890625000000000000\
0000*x^56-2266919672201185729726081528783836937500000000000000000000*x^54+70\
78172605203035697175138076792768593750000000000000000000*x^52-18921457570840\
295499902217944598531250000000000000000000000*x^50+4309836193437899373520351\
2607767990527343750000000000000000*x^48-832852492730194638932477881038800781\
25000000000000000000000*x^46+13605451817801480309813862107162871093750000000\
0000000000000*x^44-187376531718475510610390052250848437500000000000000000000\
000*x^42+217167564567243548755113299706438183593750000000000000000000*x^40-2\
11600531949107926907782065025304687500000000000000000000000*x^38+17324973836\
0441441517485240806933593750000000000000000000000*x^36-119160753559721205360\
256936372656250000000000000000000000000*x^34+6881675359745879618632808812832\
3852539062500000000000000000*x^32-333373241454352397106620821580078125000000\
00000000000000000*x^30+13522749972507897384564126773730468750000000000000000\
000000*x^28-4579715799877375212446539089843750000000000000000000000000*x^26+\
1289375009212782720910494158935546875000000000000000000000*x^24-299949342020\
131309977242285156250000000000000000000000000*x^22+5717987644329639025900024\
4140625000000000000000000000000*x^20-883358609974310569166992187500000000000\
0000000000000000*x^18+108967001627919695625161743164062500000000000000000000\
0*x^16-105221972410962122094726562500000000000000000000000000*x^14+774259635\
3878081823730468750000000000000000000000000*x^12-418195492165573730468750000\
000000000000000000000000*x^10+1570617636542379760742187500000000000000000000\
0000*x^8-377454892038574218750000000000000000000000000000*x^6+50466575622558\
59375000000000000000000000000000*x^4-287229003906250000000000000000000000000\
00000*x^2+54977426528930664062500000000000000000000
Common denominator of the automorphisms:
2751733241015388283444960906780414592094948154108666407596245892128299652068\
6744319397889089133454474003504554499735569860473027278284166050065674578691\
8985275191188056468394452107928098021414611380853217365821291831328796402391\
3883548358334533356603406479391767223065638371674957158516270920829642304588\
1420652631234317571530730292576483255633943457351439264469043426825794868208\
2452793572979049637490967428632003990099565314327167192347843052500817962445\
9369303908640655877451273633079027589021356261095429710128810505435049371214\
6768487917602393674821597459175762705790237130497942863638800687352134088832\
4813020557560244068313247513954759570755382283829202770569922305937709996127\
4995664373614684077025157935829975505959395959562417731484375000000000000000\
00000000000000000
Complex polynomial:
x^128+1280*x^126+790400*x^124+313728000*x^122+89985080000*x^120+198792684800\
00*x^118+3520688520000000*x^116+513716965312000000*x^114+6298853051060500000\
0*x^112+6586815325228000000000*x^110+594201139729110800000000*x^108+46660320\
219785872000000000*x^106+3212497185079556673000000000*x^104+1950456915362301\
62640000000000*x^102+10492181839060675660200000000000*x^100+5019707816884388\
10264000000000000*x^98+21423868822040085862123836250000000*x^96+817661167351\
711363126313200000000000*x^94+27958671560741928556300681000000000000*x^92+85\
7688279342594076832696520000000000000*x^90+236279363381511063598905203225000\
00000000*x^88+584852497464373656015137319800000000000000*x^86+13009807690684\
209448959244275500000000000000*x^84+2600316265887325911122701311400000000000\
00000*x^82+4667577093646167856468580822097187500000000000*x^80+7517988312824\
1712889060546706950000000000000000*x^78+108529547022221128562346319856712500\
0000000000000*x^76+14020964362576673618123773967845000000000000000000*x^74+1\
61805266718779629475397381089897812500000000000000*x^72+16643494413342947787\
21278908543125000000000000000000*x^70+15220637840080737552157992933417562500\
000000000000000*x^68+123395799531284512805158718234757500000000000000000000*\
x^66+883954603695719098741830897196462172460937500000000000*x^64+55749801209\
28842430130866086759866375000000000000000000*x^62+30832103623045323589649733\
798892091562500000000000000000*x^60+1488747618186740273553013259801357125000\
00000000000000000*x^58+62470426208816680827087256716178667890625000000000000\
0000*x^56+2266919672201185729726081528783836937500000000000000000000*x^54+70\
78172605203035697175138076792768593750000000000000000000*x^52+18921457570840\
295499902217944598531250000000000000000000000*x^50+4309836193437899373520351\
2607767990527343750000000000000000*x^48+832852492730194638932477881038800781\
25000000000000000000000*x^46+13605451817801480309813862107162871093750000000\
0000000000000*x^44+187376531718475510610390052250848437500000000000000000000\
000*x^42+217167564567243548755113299706438183593750000000000000000000*x^40+2\
11600531949107926907782065025304687500000000000000000000000*x^38+17324973836\
0441441517485240806933593750000000000000000000000*x^36+119160753559721205360\
256936372656250000000000000000000000000*x^34+6881675359745879618632808812832\
3852539062500000000000000000*x^32+333373241454352397106620821580078125000000\
00000000000000000*x^30+13522749972507897384564126773730468750000000000000000\
000000*x^28+4579715799877375212446539089843750000000000000000000000000*x^26+\
1289375009212782720910494158935546875000000000000000000000*x^24+299949342020\
131309977242285156250000000000000000000000000*x^22+5717987644329639025900024\
4140625000000000000000000000000*x^20+883358609974310569166992187500000000000\
0000000000000000*x^18+108967001627919695625161743164062500000000000000000000\
0*x^16+105221972410962122094726562500000000000000000000000000*x^14+774259635\
3878081823730468750000000000000000000000000*x^12+418195492165573730468750000\
000000000000000000000000*x^10+1570617636542379760742187500000000000000000000\
0000*x^8+377454892038574218750000000000000000000000000000*x^6+50466575622558\
59375000000000000000000000000000*x^4+287229003906250000000000000000000000000\
00000*x^2+54977426528930664062500000000000000000000
Common denominator of the automorphisms:
2751733241015388283444960906780414592094948154108666407596245892128299652068\
6744319397889089133454474003504554499735569860473027278284166050065674578691\
8985275191188056468394452107928098021414611380853217365821291831328796402391\
3883548358334533356603406479391767223065638371674957158516270920829642304588\
1420652631234317571530730292576483255633943457351439264469043426825794868208\
2452793572979049637490967428632003990099565314327167192347843052500817962445\
9369303908640655877451273633079027589021356261095429710128810505435049371214\
6768487917602393674821597459175762705790237130497942863638800687352134088832\
4813020557560244068313247513954759570755382283829202770569922305937709996127\
4995664373614684077025157935829975505959395959562417731484375000000000000000\
00000000000000000

Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Sat, 16 Jun 2018 12:23:16 +0200
Copyleft © 2002-2008 the PARI group.