Group GAP4(70,4)

Name: C70
Maximal quotients:GAP4(10,2) GAP4(14,2) GAP4(35,1)
Real polynomial:
x^70-x^69-70*x^68+70*x^67+2344*x^66-2344*x^65-49983*x^64+49983*x^63+762257*x\
^62-762257*x^61-8851711*x^60+8851711*x^59+81371681*x^58-81371681*x^57-607790\
032*x^56+607790032*x^55+3756900817*x^54-3756900817*x^53-19474518218*x^52+194\
74518218*x^51+85485794668*x^50-85485794668*x^49-320042686937*x^48+3200426869\
37*x^47+1027136675683*x^46-1027136675683*x^45-2835730409177*x^44+28357304091\
77*x^43+6748827019423*x^42-6748827019423*x^41-13857971452067*x^40+1385797145\
2067*x^39+24545607517528*x^38-24545607517528*x^37-37452327158877*x^36+374523\
27158877*x^35+49110826917613*x^34-49110826917613*x^33-55150461899212*x^32+55\
150461899212*x^31+52790637111148*x^30-52790637111148*x^29-42814336298028*x^2\
8+42814336298028*x^27+29199799516676*x^26-29199799516676*x^25-16591797713326\
*x^24+16591797713326*x^23+7765434855824*x^22-7765434855824*x^21-295174747460\
2*x^20+2951747474602*x^19+895446182474*x^18-895446182474*x^17-212079264260*x\
^16+212079264260*x^15+38125820052*x^14-38125820052*x^13-5012987588*x^12+5012\
987588*x^11+458275820*x^10-458275820*x^9-27078192*x^8+27078192*x^7+923001*x^\
6-923001*x^5-14838*x^4+14838*x^3+72*x^2-72*x+1
Common denominator of the automorphisms:
1
Complex polynomial:
x^70+x^69+x^68+x^67+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^2\
5+x^24+x^23+x^22+x^21+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: Thu, 19 Dec 2013 12:12:28 +0100
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