Group GAP4(96,173)

Name: C3 x ((C4 x C4) : C2)
Maximal quotients:GAP4(32,33) GAP4(48,47)
Real polynomial:
x^96-720*x^94+229560*x^92-43498800*x^90+5533908800*x^88-505724637000*x^86+34\
671787333500*x^84-1838628616950000*x^82+77162937490087500*x^80-2609018495942\
550000*x^78+72097098805875037500*x^76-1647423058155777000000*x^74+3142877575\
5374583375000*x^72-504621056162696383125000*x^70+6864691157240296367812500*x\
^68-79563604342784267250000000*x^66+789327340445100848661718750*x^64-6728349\
631169898818859375000*x^62+49433355117859384757484375000*x^60-31381171746411\
9525395156250000*x^58+1724587090898420543913515625000*x^56-82161568719459561\
31606640625000*x^54+33962969879733423729452343750000*x^52-121863988308445475\
025468750000000*x^50+379537969807014413886264160156250*x^48-1025463715173121\
857690058593750000*x^46+2401260229644739183237309570312500*x^44-486592814830\
6082568610253906250000*x^42+8515798970741565916803369140625000*x^40-12838022\
324513286327350097656250000*x^38+16618582706077719066860595703125000*x^36-18\
400213896194592921921386718750000*x^34+17344250259867740603730010986328125*x\
^32-13841205714064957909149169921875000*x^30+9289826056632794035446166992187\
500*x^28-5202962017778415983642578125000000*x^26+240907862345080532342529296\
8750000*x^24-911919131257661775970458984375000*x^22+278414391692747757568359\
375000000*x^20-67424780949818339538574218750000*x^18+12682170532910800743103\
027343750*x^16-1802300828894496917724609375000*x^14+186291026849384307861328\
125000*x^12-13237366923294067382812500000*x^10+589354641780853271484375000*x\
^8-13731623268127441406250000*x^6+104169702529907226562500*x^4-1573562622070\
31250000*x^2+59604644775390625
Common denominator of the automorphisms:
2251975929798654157236778375163100630139677878083653327873225963062714896287\
7205159732116972092687414340743295559570372175367983192881508360300158654859\
2324731318069079125871687277755270581695761205287575701555774674805892218501\
6457158452197133689869313079231140521227296180696283957943689695209964350546\
89433568822500898012988133424969694158870914036442387008666992187500000
Complex polynomial:
x^96-24*x^93+944*x^90-37664*x^87+918264*x^84-13611104*x^81+145524480*x^78-11\
43898048*x^75+6370993920*x^72-31284676416*x^69+168117036288*x^66-69617679411\
2*x^63+2092339426368*x^60-7914682446848*x^57+32880751616000*x^54-45734542332\
928*x^51+310646079162176*x^48-676967431493120*x^45+1041449128656896*x^42-116\
2263774234624*x^39+868763733173760*x^36-415414515931136*x^33+76718374025216*\
x^30+50919667204096*x^27+8263192509440*x^24-68325739552768*x^21+735942011371\
52*x^18-42738570690560*x^15+14001922072576*x^12-2589482385408*x^9+2853737431\
04*x^6-23243128832*x^3+1593413632
Common denominator of the automorphisms:
1805521851112209228691080268298090298172714827008990793409263673308760269807\
4004967869446594366860228001345583055691138392462342889903386729240962391204\
84548744379947859769569970659237071671296

Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Thu, 19 Dec 2013 12:12:28 +0100
Copyleft © 2002-2008 the PARI group.