Group GAP4(108,30)

Name: C2 x C2 x ((C3 x C3) : C3)
Maximal quotients:GAP4(36,14) GAP4(54,10)
Real polynomial:
x^108-504*x^106+121068*x^104-18474804*x^102+2013985458*x^100-167219583948*x^\
98+11009774902086*x^96-590907874782492*x^94+26375359215495339*x^92-993946030\
205667696*x^90+31995816004474914330*x^88-888003279556377919164*x^86+21407469\
179355427188411*x^84-451002556857364252108272*x^82+8344715553989660734720812\
*x^80-136154735235828946349604576*x^78+1965592823992307993285928459*x^76-251\
75388958180908611351989248*x^74+286702956765576913713120616644*x^72-29081131\
36133874094155436836228*x^70+26307753027280075316894375021652*x^68-212450112\
237656003780334054504924*x^66+1532456631313491149776396404087354*x^64-987628\
7561207811979766857948035900*x^62+56866320906186628339496182158422112*x^60-2\
92430710423396921404449278630298736*x^58+13422032575357608156653703165610824\
66*x^56-5493281129742278067978519955632804192*x^54+2002263941046547268013477\
6966085140753*x^52-64894310862123199421228660277674990292*x^50+1866648751686\
40989992122642084900241274*x^48-475455425214025301325506015751186229332*x^46\
+1069553386218466648628929476189311725611*x^44-21184274924400567012429781262\
08658648736*x^42+3681431304053281509403558829168478921402*x^40-5590662269813\
496749702435206937964741828*x^38+7385080257951595632417916618947929637729*x^\
36-8441328544872720057811147499668964842200*x^34+829891863159763161038083293\
0920640016392*x^32-6969425010844389902377251177235571231472*x^30+49601237711\
36205482898113969661117865392*x^28-2964231904325683626166669406506194896448*\
x^26+1471551226337302740987397557855286682304*x^24-5991448706773428464938204\
22787859441152*x^22+197016119631224706115405659752209767168*x^20-51346550836\
621358604244316702223747072*x^18+10360613695075969798064689116060708864*x^16\
-1571307021709212494082000974831898624*x^14+17246948009916688571639495962047\
2832*x^12-13056315889806570264528108565905408*x^10+6422336092967003016895535\
93450496*x^8-19141001782171486293822681710592*x^6+31342937582039991845402935\
2960*x^4-2278180275525548905544810496*x^2+2850854693238414812381184
Common denominator of the automorphisms:
6728198167738987936798724061317445127961616256809333268795409719770551591014\
1170658003775902957081941800734192820565519010988556936112336416415790098343\
7781003244928417265939723830770764301730391886716859673982295095731384439111\
5626980876783071328838704026944954251330689102678154211757844255211509251525\
3838623328141799961119198528294989269256052112743469172206460856700290906250\
54310400
Complex polynomial:
x^108+9711*x^102+73011969*x^96+192770142354*x^90+385184988693180*x^84+144949\
338921241593*x^78+44526539283832285650*x^72+1346296574712043246644*x^66+2624\
9207951159578027152*x^60+320444104841458243064145*x^54+287896949597581877937\
4461*x^48+17672125885774924400828073*x^42+79261822959782868377370153*x^36+21\
4263499457645967409334019*x^30+373237712293632018395575923*x^24+215559867361\
39711438699494*x^18+1205338957906588997009238*x^12+21609561730989384*x^6+387\
420489
Common denominator of the automorphisms:
5747295087094026847953782204386069952219312163737709238084730037771983609791\
8565824298543140767025801471496767949436113202877199572655325651326972995637\
75652988990251293348166841429816

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.