Group GAP4(57,1)

Name: C19 : C3
Maximal quotient:GAP4(3,1)
Real polynomial:
x^57-7*x^56-176*x^55+1268*x^54+13960*x^53-104785*x^52-663101*x^51+5268439*x^\
50+21082839*x^49-181221413*x^48-473134006*x^47+4543585229*x^46+7644213606*x^\
45-86330544788*x^44-87509916722*x^43+1275279347566*x^42+641053633275*x^41-14\
899563353465*x^40-1373054029481*x^39+139239824387956*x^38-35299841866861*x^3\
7-1047751203644966*x^36+585743676998845*x^35+6364113936365524*x^34-537397304\
8462412*x^33-31145224181370415*x^32+35187325495011607*x^31+12190423280193934\
9*x^30-175773736320371532*x^29-375581078150864752*x^28+686489739953943623*x^\
27+881434198376634851*x^26-2112432327984586288*x^25-1456856814580861863*x^24\
+5110617617214145656*x^23+1261928328275038578*x^22-9618678549691170845*x^21+\
1021372845745961417*x^20+13793734029068103531*x^19-5717768387133613725*x^18-\
14516274200160528379*x^17+10554916376520185235*x^16+10396207338587086206*x^1\
5-11911568085177348642*x^14-4089771743116811905*x^13+8794438782435884514*x^1\
2-172797133610253251*x^11-4150181129567296056*x^10+1117738529445975062*x^9+1\
153026385791567075*x^8-567880553811337819*x^7-155281712163785032*x^6+1333965\
32812656961*x^5+1979629240455886*x^4-15168542063472289*x^3+1611049208761185*\
x^2+669011561038188*x-110289598559523
Common denominator of the automorphisms:
4037129456687518470085023644867832874624276868310443711622389815451121355277\
5798976585210787052285365704417764727130566742998870693602185567059493080015\
6470638563354192549593921244132550741152326235047702557230796216454982619051\
6962945373980225291226491066598428069625667485877882291397972704520462008548\
3417241768638032219230623734749875414784875

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