# Group GAP4(70,1)

Name: C7 x D10
Maximal quotients:GAP4(10,1) GAP4(14,2)
Real polynomial:
```x^70-1260*x^68+670320*x^66-199481940*x^64+37172264850*x^62-4612678062020*x^6\
0+396352543959750*x^58-24211577943724500*x^56+1070310013483916975*x^54-34648\
742861998671000*x^52+827788017544768615650*x^50-14670253646242895809500*x^48\
+193589832793711219149375*x^46-1908551542548624411560500*x^44+14106604504702\
082175460000*x^42-78473888725553456313521000*x^40+32988584461370236656639062\
5*x^38-1051729750625334890614610000*x^36+2549684700151836869152466250*x^34-4\
706384901980130601822450000*x^32+6614363496283642771323286250*x^30-706782519\
0381590717825225000*x^28+5726205333588441309014618750*x^26-35016954181172247\
44192962500*x^24+1605543375750508551231437500*x^22-5467843248901122502896875\
00*x^20+136559560084149609147125000*x^18-24588901599691924810000000*x^16+311\
9059064334978071890625*x^14-269771897194261829062500*x^12+151582287270810606\
87500*x^10-512834468761470625000*x^8+9173518566441250000*x^6-681558304350000\
00*x^4+200003300000000*x^2-168070000000```
Common denominator of the automorphisms:
```5577580439041840918764446297617640517422671466593553858234696588366783033804\
3460478423273873806485807205625003508716499144381726486439708337513672662749\
9891010770988513796557001981644253268471706282646553869796651336922899483512\
0640426988515378563691655513236173033550480223158386692552899566507461645618\
0611902686220843080342428000000```
Complex polynomial:
```x^70-x^69+138*x^68-95*x^67+8642*x^66-4594*x^65+329345*x^64-148560*x^63+86570\
43*x^62-3604772*x^61+168074781*x^60-68186122*x^59+2513504878*x^58-1011505278\
*x^57+29741243285*x^56-11762659495*x^55+283336022064*x^54-107343734654*x^53+\
2198259602617*x^52-770749251489*x^51+13998654861620*x^50-4363418368257*x^49+\
73584717438227*x^48-19461796493201*x^47+320679434412889*x^46-67951957553687*\
x^45+1162464131999539*x^44-182540981493358*x^43+3512998233361166*x^42-361252\
813758616*x^41+8857633396864666*x^40-460205057655857*x^39+18614844141270822*\
x^38-121318879360852*x^37+32502803853318517*x^36+1041032023986042*x^35+46889\
609779003374*x^34+2952335383120837*x^33+55433946955655197*x^32+4785241137696\
592*x^31+53111765622542651*x^30+5468394126677139*x^29+40637618775399714*x^28\
+4657316903747047*x^27+24356194560337804*x^26+3010103377353662*x^25+11160012\
184583645*x^24+1468514789376310*x^23+3799913481793675*x^22+524144062628416*x\
^21+934387032977322*x^20+129684780275257*x^19+162062549786767*x^18+211947230\
25279*x^17+19521001374781*x^16+2273532948721*x^15+1645873235044*x^14+1690195\
05997*x^13+99637976787*x^12+9151120169*x^11+4357524473*x^10+354870213*x^9+13\
5321148*x^8+9701116*x^7+2939805*x^6+183340*x^5+42050*x^4+2033*x^3+332*x^2+9*\
x+1```
Common denominator of the automorphisms:
```4702647774115598131513273523926855785780143608406873156720233542606814662147\
8828005857530914440043226980552920344878473380389769366731164379222587646574\
5177240409117906972982557155416654243716592167091355489056758779979058713602\
609072457504801488263198415219848453175786142955069026253305```

Database of Galois polynomials by Bill Allombert and Igor Schein.