Group GAP4(96,193)
Name: (SL(2,3) : C2) : C2
Maximal quotient:GAP4(48,48)
Real polynomial:
x^96-1200*x^94+641760*x^92-203816800*x^90+43298756700*x^88-6580460208000*x^8\
6+747730974592000*x^84-65558598352020000*x^82+4541299257367687500*x^80-25313\
1802023305800000*x^78+11518870846412028000000*x^76-432913221651372783000000*\
x^74+13564016446028801773750000*x^72-357012409038042033060000000*x^70+794309\
7935350398121140000000*x^68-150147885187759318391950000000*x^66+242146021790\
2729366554806250000*x^64-33429843708163872141307500000000*x^62+3961674249776\
63197791286000000000*x^60-4038877922207376951334560000000000*x^58+3548345892\
2706976654624102500000000*x^56-268993554852387584141037100000000000*x^54+176\
1233941281205917083558400000000000*x^52-996584990510658826709553000000000000\
0*x^50+48748203596916216034312728250000000000*x^48-2061290320274196435694915\
80000000000000*x^46+753194942913648988668152160000000000000*x^44-23766766862\
94794671997908800000000000000*x^42+6469618713929460051505874100000000000000*\
x^40-15171011971986046008265632000000000000000*x^38+305893961471110340834364\
96000000000000000*x^36-52909140880134603357045120000000000000000*x^34+782781\
20961954242026161960000000000000000*x^32-98713894557943497132496800000000000\
000000*x^30+105661366851589336303056000000000000000000*x^28-9551502754692071\
4544608000000000000000000*x^26+72484774921859986766916000000000000000000*x^2\
4-45850907198619692310240000000000000000000*x^22+239705415006237171532800000\
00000000000000*x^20-10251468762287409648000000000000000000000*x^18+354207194\
2215844390800000000000000000000*x^16-973653204107971872000000000000000000000\
*x^14+208837667745706752000000000000000000000*x^12-3408876578913408000000000\
0000000000000*x^10+4095796768498080000000000000000000000*x^8-345755420121600\
000000000000000000000*x^6+19114869888000000000000000000000000*x^4-6122200320\
00000000000000000000000*x^2+8503056000000000000000000000000
Common denominator of the automorphisms:
2990646037064366979645505898938808141424020118783856664335849850292143432972\
8428337269577329083918051014568715602913106885270621074035336849306189728634\
0630812758446511705546168772940306245287342872998177485436028947136808220598\
3588847705239307359131466041594268656156495072239329280000000000000000000000\
0
Complex polynomial:
x^96+1200*x^94+641760*x^92+203816800*x^90+43298756700*x^88+6580460208000*x^8\
6+747730974592000*x^84+65558598352020000*x^82+4541299257367687500*x^80+25313\
1802023305800000*x^78+11518870846412028000000*x^76+432913221651372783000000*\
x^74+13564016446028801773750000*x^72+357012409038042033060000000*x^70+794309\
7935350398121140000000*x^68+150147885187759318391950000000*x^66+242146021790\
2729366554806250000*x^64+33429843708163872141307500000000*x^62+3961674249776\
63197791286000000000*x^60+4038877922207376951334560000000000*x^58+3548345892\
2706976654624102500000000*x^56+268993554852387584141037100000000000*x^54+176\
1233941281205917083558400000000000*x^52+996584990510658826709553000000000000\
0*x^50+48748203596916216034312728250000000000*x^48+2061290320274196435694915\
80000000000000*x^46+753194942913648988668152160000000000000*x^44+23766766862\
94794671997908800000000000000*x^42+6469618713929460051505874100000000000000*\
x^40+15171011971986046008265632000000000000000*x^38+305893961471110340834364\
96000000000000000*x^36+52909140880134603357045120000000000000000*x^34+782781\
20961954242026161960000000000000000*x^32+98713894557943497132496800000000000\
000000*x^30+105661366851589336303056000000000000000000*x^28+9551502754692071\
4544608000000000000000000*x^26+72484774921859986766916000000000000000000*x^2\
4+45850907198619692310240000000000000000000*x^22+239705415006237171532800000\
00000000000000*x^20+10251468762287409648000000000000000000000*x^18+354207194\
2215844390800000000000000000000*x^16+973653204107971872000000000000000000000\
*x^14+208837667745706752000000000000000000000*x^12+3408876578913408000000000\
0000000000000*x^10+4095796768498080000000000000000000000*x^8+345755420121600\
000000000000000000000*x^6+19114869888000000000000000000000000*x^4+6122200320\
00000000000000000000000*x^2+8503056000000000000000000000000
Common denominator of the automorphisms:
2990646037064366979645505898938808141424020118783856664335849850292143432972\
8428337269577329083918051014568715602913106885270621074035336849306189728634\
0630812758446511705546168772940306245287342872998177485436028947136808220598\
3588847705239307359131466041594268656156495072239329280000000000000000000000\
0
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.