Group GAP4(66,4)

Name: C66
Maximal quotients:GAP4(6,2) GAP4(22,2) GAP4(33,1)
Real polynomial:
x^66-x^65-66*x^64+65*x^63+2079*x^62-2015*x^61-41602*x^60+39651*x^59+593834*x\
^58-556134*x^57-6436724*x^56+5918290*x^55+55068651*x^54-49668795*x^53-381597\
137*x^52+337328198*x^51+2180843418*x^50-1887784159*x^49-10413814866*x^48+881\
9089966*x^47+41942726398*x^46-34718361332*x^45-143452402426*x^44+11595840616\
1*x^43+418606165515*x^42-330141755665*x^41-1045329980994*x^40+803652636168*x\
^39+2237270721209*x^38-1675295443069*x^37-4104818037665*x^36+2991497995326*x\
^35+6449527801030*x^34-4571350688831*x^33-8658203341898*x^32+5965034179403*x\
^31+9895496114045*x^30-6623649238755*x^29-9580526222568*x^28+6228783058067*x\
^27+7805890500898*x^26-4929005271292*x^25-5307149614479*x^24+3255354367109*x\
^23+2978765407143*x^22-1775754641444*x^21-1361506268560*x^20+789504283575*x^\
19+498000688068*x^18-281297348758*x^17-142500903207*x^16+78584582434*x^15+30\
949836997*x^14-16727538206*x^13-4892903186*x^12+2610645206*x^11+529298508*x^\
10-283228972*x^9-35369546*x^8+19769505*x^7+1172758*x^6-785644*x^5-5196*x^4+1\
3996*x^3-432*x^2-48*x+1
Common denominator of the automorphisms:
1
Complex polynomial:
x^66+x^65+x^64+x^63+x^62+x^61+x^60+x^59+x^58+x^57+x^56+x^55+x^54+x^53+x^52+x\
^51+x^50+x^49+x^48+x^47+x^46+x^45+x^44+x^43+x^42+x^41+x^40+x^39+x^38+x^37+x^\
36+x^35+x^34+x^33+x^32+x^31+x^30+x^29+x^28+x^27+x^26+x^25+x^24+x^23+x^22+x^2\
1+x^20+x^19+x^18+x^17+x^16+x^15+x^14+x^13+x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5\
+x^4+x^3+x^2+x+1
Common denominator of the automorphisms:
1

Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Tue, 27 May 2014 19:57:28 +0200
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