Group GAP4(98,2)

Name: C98
Maximal quotients:GAP4(14,2) GAP4(49,1)
Real polynomial:
x^98+x^97-97*x^96-96*x^95+4560*x^94+4465*x^93-138415*x^92-134044*x^91+304950\
1*x^90+2919735*x^89-51971283*x^88-49177128*x^87+713068356*x^86+666563898*x^8\
5-8093990190*x^84-7471375560*x^83+77515521435*x^82+70625252863*x^81-63562727\
5767*x^80-571350360240*x^79+4513667845896*x^78+4000751045226*x^77-2800525731\
6582*x^76-24464362713336*x^75+152902266958350*x^74+131567066917650*x^73-7387\
99683460650*x^72-625806790696080*x^71+3173734438530120*x^70+2644778698775100\
*x^69-12165982014365460*x^68-9967310565986160*x^67+41738112995067045*x^66+33\
594090947249085*x^65-128447994798305325*x^64-101489773667796800*x^63+3552142\
07837288800*x^62+275291011073898820*x^61-883829035553043580*x^60-67126255864\
7881200*x^59+1980224548011249540*x^58+1472474663905800940*x^57-3996716944887\
173980*x^56-2906703232645217440*x^55+7266758081613043600*x^54+51632228474618\
99400*x^53-11897861344151333400*x^52-8249183865278257824*x^51+17529515713716\
297876*x^50+11844267374132633700*x^49-23214764053299962052*x^48-152645023912\
10933952*x^47+27593523553342842144*x^46+17629195603524593592*x^45-2938199267\
2540989320*x^44-18208558839321176480*x^43+27963143931814663880*x^42+16777886\
359088798328*x^41-23720460024918645912*x^40-13750991318793417920*x^39+178762\
88714431443296*x^38+9989690752182277136*x^37-11923179284862717872*x^36-64064\
84391866534976*x^35+7007092303604022630*x^34+3609714217008132870*x^33-360971\
4217008132870*x^32-1777090076065542336*x^31+1620288010530347424*x^30+7595100\
04936100355*x^29-629308289804197437*x^28-279692573246309972*x^27+20976942993\
4732479*x^26+87967825456500717*x^25-59437719903041025*x^24-23385332420868600\
*x^23+14154280149473100*x^22+5189902721473470*x^21-2794563003870330*x^20-947\
309492837400*x^19+449972009097765*x^18+139646485582065*x^17-57902201338905*x\
^16-16253249498640*x^15+5804731963800*x^14+1451182990950*x^13-438729741450*x\
^12-95722852680*x^11+23930713170*x^10+4431613550*x^9-886322710*x^8-133784560\
*x^7+20358520*x^6+2349060*x^5-249900*x^4-19600*x^3+1225*x^2+49*x-1
Common denominator of the automorphisms:
1
Complex polynomial:
x^98+193*x^96+17770*x^94+1039483*x^92+43407704*x^90+1378506952*x^88+34633238\
663*x^86+707047486524*x^84+11956325199140*x^82+169870554466127*x^80+20498000\
58687795*x^78+21184376113346159*x^76+188743230384571857*x^74+145714412068598\
7435*x^72+9786819169762443042*x^70+57361333200399968823*x^68+294055606674503\
501649*x^66+1320618220542169117133*x^64+5201327186050906127998*x^62+17974797\
519550818050833*x^60+54505679630180536875978*x^58+144966060153515950371280*x\
^56+337884625067158448534017*x^54+689277161835815572515820*x^52+122857794757\
4296866468226*x^50+1909253082770390053181572*x^48+2580136666114587981134030*\
x^46+3022650149581141090767863*x^44+3058463737877929695757337*x^42+266143885\
8593006420280125*x^40+1981674795002695925621317*x^38+12550849979845456396250\
96*x^36+671426498556343170933592*x^34+300886154173869621638947*x^32+11183519\
3173027045223406*x^30+34068342127620487949502*x^28+8384139293147140666579*x^\
26+1637934169912394248919*x^24+248676243580242005389*x^22+286011864173924055\
85*x^20+2418986413482843893*x^18+145684253279197043*x^16+6063944089337169*x^\
14+170547266216678*x^12+3169742535620*x^10+37661315089*x^8+269953936*x^6+105\
0070*x^4+1813*x^2+1
Common denominator of the automorphisms:
3222274486010362271506618141902618555935804285582082879332628096753407675295\
7855173006568872810114291244709154638319302041833263219156002938519980301495\
4174638363976261809914303962630064373747414695287479517391106753433383911812\
5003796174619504939481573704554037565823867818979285712838531259679752177097\
51691030480698637097924131848058505503857527

Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Thu, 19 Dec 2013 12:12:28 +0100
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