Group GAP4(136,2)

Name: C136
Maximal quotients:GAP4(8,1) GAP4(68,2)
Real polynomial:
x^136-136*x^134+9044*x^132-391952*x^130+12448930*x^128-308961536*x^126+62386\
46400*x^124-105373017600*x^122+1519059068175*x^120+x^119-18978270773000*x^11\
8-119*x^117+207947624041300*x^116+6902*x^115-2017470039789776*x^114-260015*x\
^113+17465758771889714*x^112+7153804*x^111-135793816793078752*x^110-15324201\
2*x^109+953259873155160560*x^108+2660715288*x^107-6069350465113518144*x^106-\
38492133669*x^105+35183265977454925491*x^104+473349211335*x^103-186299132550\
913080503*x^102-5023239206349*x^101+903603419745530393190*x^100+465456109946\
10*x^99-4024144784291835754551*x^98-380122489789315*x^97+1648858634460266825\
6828*x^96+2756776187630920*x^95-62267456506325601199320*x^94-178650300112802\
00*x^93+217042306530421957172976*x^92+103981766514634960*x^91-69914512900065\
0493582057*x^90-545904274201833540*x^89+2083390060749697340814888*x^88+25943\
70312832985610*x^87-5747904254089887742618623*x^86-11194393702777623029*x^85\
+14691321712375855000704434*x^84+43964780548862611815*x^83-34803905871107131\
608802393*x^82-157486471797662594721*x^81+76444293252574820144592102*x^80+51\
5410271337804775056*x^79-155697045876778887921879636*x^78-154322550630881924\
0284*x^77+294061779098325213927722232*x^76+4231937986372617574235*x^75-51494\
6894268931415465896110*x^74-10637344123354850064800*x^73+8358603133348366206\
17633835*x^72+24521877505415833228815*x^71-1257110303482125776643697935*x^70\
-51861162213564431208618*x^69+1750819713103632174254506711*x^68+100633818488\
737807943617*x^67-2256502011474987245904939743*x^66-179147643057797734024342\
*x^65+2688998228575766677067430998*x^64+292485947846198345455760*x^63-295988\
0109744376314046472208*x^62-437720349521122420106592*x^61+300597919986982137\
6570696623*x^60+600021153221780736224296*x^59-2812890906071473608199122712*x\
^58-752665830581092429983104*x^57+2421723231339482644519915528*x^56+86297030\
5206795224207810*x^55-1914995466844903887593512308*x^54-90310845749732001568\
5570*x^53+1388226118321633567996598355*x^52+861234221148571941345793*x^51-92\
0623968098533582422981432*x^50-746988858274652420080341*x^49+557195705751922\
095121720282*x^48+587991216874857082812384*x^47-306967756380198579519561456*\
x^46-418997016025807240051697*x^45+153483748336669572706518270*x^44+26953021\
3470001998336020*x^43-69421654544863103878463152*x^42-1560164878744813062109\
64*x^41+28301070244757694385245734*x^40+80970537418762809501978*x^39-1035641\
8721304262864732826*x^38-37522887066739800621587*x^37+3386271231109066953682\
851*x^36+15454656166550565099714*x^35-984225008191780661491877*x^34-56275832\
02762768521010*x^33+252806581562028819191316*x^32+1800806408983798197040*x^3\
1-57005428803009014045665*x^30-502916242208060735148*x^29+111988445911534240\
03948*x^28+121604690822638737392*x^27-1899974648120975553448*x^26-2522406130\
5787238832*x^25+275551442438204644760*x^24+4439986156760685100*x^23-33753100\
545916931915*x^22-654737234933334245*x^21+3442273442312635620*x^20+796444110\
56281331*x^19-287230018776403296*x^18-7841900319426338*x^17+1919070442971521\
2*x^16+610323342074791*x^15-998882253604430*x^14-36414986108936*x^13+3907346\
3666536*x^12+1598791743652*x^11-1093788648512*x^10-48768230072*x^9+204372918\
97*x^8+948906221*x^7-229757023*x^6-10290678*x^5+1322175*x^4+49946*x^3-2890*x\
^2-68*x+1
Common denominator of the automorphisms:
1
Complex polynomial:
x^136+x^135+x^134+x^133+x^132+x^131+x^130+x^129+x^128+x^127+x^126+x^125+x^12\
4+x^123+x^122+x^121+x^120+x^119+x^118+x^117+x^116+x^115+x^114+x^113+x^112+x^\
111+x^110+x^109+x^108+x^107+x^106+x^105+x^104+x^103+x^102+x^101+x^100+x^99+x\
^98+x^97+x^96+x^95+x^94+x^93+x^92+x^91+x^90+x^89+x^88+x^87+x^86+x^85+x^84+x^\
83+x^82+x^81+x^80+x^79+x^78+x^77+x^76+x^75+x^74+x^73+x^72+x^71+x^70+x^69+x^6\
8+x^67+x^66+x^65+x^64+x^63+x^62+x^61+x^60+x^59+x^58+x^57+x^56+x^55+x^54+x^53\
+x^52+x^51+x^50+x^49+x^48+x^47+x^46+x^45+x^44+x^43+x^42+x^41+x^40+x^39+x^38+\
x^37+x^36+x^35+x^34+x^33+x^32+x^31+x^30+x^29+x^28+x^27+x^26+x^25+x^24+x^23+x\
^22+x^21+x^20+x^19+x^18+x^17+x^16+x^15+x^14+x^13+x^12+x^11+x^10+x^9+x^8+x^7+\
x^6+x^5+x^4+x^3+x^2+x+1
Common denominator of the automorphisms:
1

Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Sat, 16 Jun 2018 12:23:16 +0200
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