Group GAP4(100,12)

Name: (C5 x C5) : C4
Maximal quotient:GAP4(20,3)
Real polynomial:
x^100-550*x^98+144275*x^96-24045250*x^94+2861631625*x^92-259140433300*x^90+1\
8580712811250*x^88-1083794936926000*x^86+52437078908453750*x^84-213523810874\
8890000*x^82+73996527691420826650*x^80-2201498654966609083500*x^78+566193447\
15127887272375*x^76-1265732361003551720768750*x^74+2470369249494159017702812\
5*x^72-422424686851501658417882250*x^70+6346110065429563771084839375*x^68-83\
939998935045458576604170000*x^66+979110286596131962653991912500*x^64-1008296\
2137038402661697680050000*x^62+91737458809455215919762113646500*x^60-7376441\
66661199632147846532170000*x^58+5241687940625620846130745045647500*x^56-3290\
4280699259965515197658465275000*x^54+182338624322003756764742493608709375*x^\
52-891035155133938327504190596106101250*x^50+3834437376512029537379075614740\
528125*x^48-14506152920567425028467132515101993750*x^46+48144430419033336203\
734163640527984375*x^44-139836238503137195595027829126726812500*x^42+3544336\
66286612744079022933155277201250*x^40-78137973843370883579891951683207790000\
0*x^38+1492653321491968646175163833634822793750*x^36-24600394750536434542347\
53966347478500000*x^34+3480563276244224277849152269439686656250*x^32-4203295\
376550995002244212642032215337500*x^30+4304009904200116125713212442000104515\
625*x^28-3707797841974187040732949285000509406250*x^26+266261780959081154217\
5863242682732421875*x^24-1576266110696338692743395445357361718750*x^22+75888\
2580288880251186999106776597940625*x^20-292120064774259380221089933087971125\
000*x^18+87966996307906634666765001110603375000*x^16-20133419119601556374773\
759555617500000*x^14+3365963629529445798898780620138750000*x^12-388081626523\
324728421620877138000000*x^10+28219932968747426813745948910000000*x^8-110899\
6162005275262980328760000000*x^6+17171116254477526468946500000000*x^4-809868\
24809674268909600000000*x^2+104762297658201775116800000
Common denominator of the automorphisms:
1644150255627544640575703219140067990943899565313757666230174463248570185798\
5453047032149208136696397869856624085838616527845244929806274668828212748668\
7700128439291887951375488411119306917960826619619695198282938805490750233629\
8778865686238166859018982657342857305186153704111746262014504033014277302818\
2185331346154189462275477850078811102745955502717455025637996811739111345458\
5948384674560928566518279734091123792235033988996958291811980124732746604403\
8985132778231410358614477801371304769827561841109852052574595403002397327360\
000000
Complex polynomial:
x^100+352593875*x^90+994578731771900*x^80-2275308171794375*x^70+186636597912\
03375*x^60-1685243783575000*x^50+74419663516875*x^40-2162622984375*x^30+3397\
7737500*x^20-19453125*x^10+3125
Common denominator of the automorphisms:
69206437728662914283377186913519327073900750000000

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.