Group GAP4(95,1)
Name: C95
Maximal quotients:GAP4(5,1) GAP4(19,1)
Real polynomial:
x^95+x^94-94*x^93-93*x^92+4278*x^91+4186*x^90-125580*x^89-121485*x^88+267267\
0*x^87+2555190*x^86-43949268*x^85-41507642*x^84+581106988*x^83+541931236*x^8\
2-6348337336*x^81-5843355957*x^80+58433559570*x^79+53060358690*x^78-45985644\
1980*x^77-411731930610*x^76+3129162672636*x^75+2761025887620*x^74-1857417415\
3080*x^73-16141841823510*x^72+96851050941060*x^71+82848489359220*x^70-446107\
250395800*x^69-375382930211100*x^68+1823288518168200*x^67+1508152231077400*x\
^66-6635869816740560*x^65-5391644226101705*x^64+21566576904406820*x^63+17198\
662594653540*x^62-62724534168736440*x^61-49053802362729780*x^60+163512674542\
432600*x^59+125288932441604200*x^58-382460951663844400*x^57-2868457137478833\
00*x^56+803167998494073240*x^55+588989865562320376*x^54-1514545368588823824*\
x^53-1084741953178481928*x^52+2563935525694593648*x^51+1791242627540058576*x\
^50-3894005712043605600*x^49-2650087220696342700*x^48+5300174441392685400*x^\
47+3508566179513467800*x^46-6455761770304780752*x^45-4150132566624501912*x^4\
4+7023301266595310928*x^43+4376839919762295216*x^42-6808417652963570336*x^41\
-4105075349580976232*x^40+5864393356544251760*x^39+3413602103063071920*x^38-\
4472995859186094240*x^37-2507588587725537680*x^36+3009106305270645216*x^35+1\
620288010530347424*x^34-1777090076065542336*x^33-916312070471295267*x^32+916\
312070471295267*x^31+450883717216034179*x^30-409894288378212890*x^29-1917247\
47789809255*x^28+157890968768078210*x^27+69886166503903470*x^26-519154379743\
28292*x^25-21631432489303455*x^24+14420954992868970*x^23+5621728217559090*x^\
22-3342649210440540*x^21-1210269541711230*x^20+636983969321700*x^19+21232798\
9773900*x^18-97997533741800*x^17-29749251314475*x^16+11899700525790*x^15+324\
5372870670*x^14-1108176102180*x^13-266783135710*x^12+76223753060*x^11+158200\
24220*x^10-3679075400*x^9-636763050*x^8+115775100*x^7+15890700*x^6-2118760*x\
^5-211876*x^4+18424*x^3+1128*x^2-48*x-1
Common denominator of the automorphisms:
1
Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Sat, 16 Jun 2018 12:23:16 +0200
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