Group GAP4(96,18)

Name: C2 x (C3 : C16)
Maximal quotients:GAP4(32,16) GAP4(48,1) GAP4(48,9)
Real polynomial:
x^96-480*x^94+111600*x^92-16744000*x^90+1822275000*x^88-153311400000*x^86+10\
376910500000*x^84-580640610000000*x^82+27390731048437500*x^80-11054241393750\
00000*x^78+38599868494687500000*x^76-1176573531656250000000*x^74+31527034811\
542968750000*x^72-746831334367968750000000*x^70+15710781119326171875000000*x\
^68-294560982632304687500000000*x^66+4936197716767918395996093750*x^64-74098\
098265108886718750000000*x^62+998002163955277099609375000000*x^60-1207425721\
2582641601562500000000*x^58+131307547186836227416992187500000*x^56-128389601\
6937954223632812500000000*x^54+11285351352814573059082031250000000*x^52-8912\
6717652365240478515625000000000*x^50+631830029653630900382995605468750000*x^\
48-4015235343376313552856445312500000000*x^46+228338932988707941055297851562\
50000000*x^44-115946661624969249725341796875000000000*x^42+52431762425997123\
9566802978515625000000*x^40-2104826283699318408966064453125000000000*x^38+74\
73196350710206270217895507812500000000*x^36-23365328540682034492492675781250\
000000000*x^34+64003658746692487061955034732818603515625*x^32-15269752158903\
0656963586807250976562500000*x^30+315101621874897228553891181945800781250000\
*x^28-557884838729326240718364715576171875000000*x^26+8394100582732917973771\
69132232666015625000*x^24-1061278864330868236720561981201171875000000*x^22+1\
112320406807761173695325851440429687500000*x^20-9507012023997958749532699584\
96093750000000*x^18+649362874853432003874331712722778320312500*x^16-34555895\
7793400622904300689697265625000000*x^14+138650199114636052399873733520507812\
500000*x^12-40153195004677399992942810058593750000000*x^10+78972630035423208\
02807807922363281250000*x^8-963500497164204716682434082031250000000*x^6+6283\
6988945491611957550048828125000000*x^4-1637090463191270828247070312500000000\
*x^2+22801441047340631484985351562500
Common denominator of the automorphisms:
92881007790565490722656250000000
Complex polynomial:
x^96+480*x^94+111600*x^92+16744000*x^90+1822275000*x^88+153311400000*x^86+10\
376910500000*x^84+580640610000000*x^82+27390731048437500*x^80+11054241393750\
00000*x^78+38599868494687500000*x^76+1176573531656250000000*x^74+31527034811\
542968750000*x^72+746831334367968750000000*x^70+15710781119326171875000000*x\
^68+294560982632304687500000000*x^66+4936197716767918395996093750*x^64+74098\
098265108886718750000000*x^62+998002163955277099609375000000*x^60+1207425721\
2582641601562500000000*x^58+131307547186836227416992187500000*x^56+128389601\
6937954223632812500000000*x^54+11285351352814573059082031250000000*x^52+8912\
6717652365240478515625000000000*x^50+631830029653630900382995605468750000*x^\
48+4015235343376313552856445312500000000*x^46+228338932988707941055297851562\
50000000*x^44+115946661624969249725341796875000000000*x^42+52431762425997123\
9566802978515625000000*x^40+2104826283699318408966064453125000000000*x^38+74\
73196350710206270217895507812500000000*x^36+23365328540682034492492675781250\
000000000*x^34+64003658746692487061955034732818603515625*x^32+15269752158903\
0656963586807250976562500000*x^30+315101621874897228553891181945800781250000\
*x^28+557884838729326240718364715576171875000000*x^26+8394100582732917973771\
69132232666015625000*x^24+1061278864330868236720561981201171875000000*x^22+1\
112320406807761173695325851440429687500000*x^20+9507012023997958749532699584\
96093750000000*x^18+649362874853432003874331712722778320312500*x^16+34555895\
7793400622904300689697265625000000*x^14+138650199114636052399873733520507812\
500000*x^12+40153195004677399992942810058593750000000*x^10+78972630035423208\
02807807922363281250000*x^8+963500497164204716682434082031250000000*x^6+6283\
6988945491611957550048828125000000*x^4+1637090463191270828247070312500000000\
*x^2+22801441047340631484985351562500
Common denominator of the automorphisms:
92881007790565490722656250000000

Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Tue, 27 May 2014 19:57:28 +0200
Copyleft © 2002-2008 the PARI group.