Group GAP4(100,14)

Name: C10 x D10
Maximal quotients:GAP4(20,4) GAP4(20,5) GAP4(50,3)
Real polynomial:
x^100-740*x^98+260212*x^96-57949760*x^94+9190960320*x^92-1106773632256*x^90+\
105345295492736*x^88-8146420427207168*x^86+522069889453544960*x^84-281419418\
48579387392*x^82+1290633371800707364864*x^80-50810366242812799729664*x^78+17\
29271609345625253736448*x^76-51163424099895462448709632*x^74+132176313598875\
1202606825472*x^72-29918130391890093664329007104*x^70+5948843754864639380269\
43807488*x^68-10410388393952838018529299529728*x^66+160538600701184015991161\
387220992*x^64-2183032286110443983425427927465984*x^62+261797163779637586529\
65607158317056*x^60-276775714005915430199729276355346432*x^58+25773261333854\
40742536211715023962112*x^56-21110528208258969155888739827314589696*x^54+151\
816101433709010688228619847552991232*x^52-9563462977917368309699038748536251\
35104*x^50+5262178460680240376237104282989435551744*x^48-2520706076860492311\
6440534237250681044992*x^46+104715062707846994814482279298877087547392*x^44-\
375587945363684784476119397706068047953920*x^42+1157348814379486886814031724\
227249718689792*x^40-3046747654418237954190187412981808279584768*x^38+680948\
1242023514820845589547028092049948672*x^36-128314014308251410467258032558411\
32275302400*x^34+20227891584879154431558240255305845976334336*x^32-264474668\
28842359593743224421290638871363584*x^30+28401878967545322533408070366753447\
101857792*x^28-24776063338660277020434230567568570476134400*x^26+17333389505\
533019062662937533131675542749184*x^24-9579488916143855192931575993204921086\
246912*x^22+4106541489512761115049125314624361829761024*x^20-133486265849752\
0966156197643861285394186240*x^18+319639234470146823990339044882700314869760\
*x^16-54276902638966030256480798914304379191296*x^14+62023854037588525503653\
09345528559960064*x^12-441307207527895640536036390595394011136*x^10+17163713\
364067261764716128927842566144*x^8-279587427328623654603806077173628928*x^6+\
968278271591436962040541897293824*x^4-943179132938107889800573878272*x^2+277\
938444940315850728013824
Common denominator of the automorphisms:
1057293554047681789497402158813538713887903724103619831919803548451377014159\
0193110866081740208801599841822709154696311646923125532648729173631978532507\
2360713835015159270399401999052701625531182930084130662328789018364713175000\
9803222510879019417784445147678130812549808324311552246118177272416615621913\
5582399655330250575897204853014806714789649821467938030300440879519894207415\
7665794163516004480859610905140963822582890496
Complex polynomial:
x^100+57*x^96+560*x^92+6937*x^88+55905*x^84-24961*x^80-691353*x^76+2888113*x\
^72-1682384*x^68-9711073*x^64+37108766*x^60-63055562*x^56+55773511*x^52+1669\
1124*x^48-70527535*x^44+70780500*x^40-38287404*x^36+12728320*x^32-2113899*x^\
28-18002*x^24+85746*x^20-8829*x^16-1063*x^12+260*x^8+33*x^4+1
Common denominator of the automorphisms:
6275987802937094274092849723013872277764322280558162929321880583850699803329\
394896

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.