Magma V2.19-8 Tue Aug 20 2013 16:17:13 on localhost [Seed = 1065264098] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1451 geometric_solution 5.27100059 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 2 0 0 0132 0132 1230 3012 0 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.609208038233 0.829154856286 0 3 2 4 0132 0132 1230 0132 0 0 0 0 0 0 -1 1 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.025419058384 0.903311109949 3 0 4 1 2310 0132 3201 3012 0 0 0 0 0 1 -1 0 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.025419058384 0.903311109949 3 1 2 3 3201 0132 3201 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.267626624573 0.669943193793 2 5 1 5 2310 0132 0132 1023 0 0 0 0 0 1 -1 0 0 0 0 0 0 -1 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 -1 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.377199872729 0.358589271221 6 4 6 4 0132 0132 2310 1023 0 0 0 0 0 -1 1 0 0 0 0 0 0 1 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 1 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.935078124871 0.318955584545 5 5 6 6 0132 3201 1230 3012 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.600987949869 0.222132634396 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : d['1'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : d['1'], 's_0_6' : d['1'], 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : d['c_0101_5'], 'c_1100_5' : d['c_0011_4'], 'c_1100_4' : negation(d['c_0011_4']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_4']), 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : negation(d['c_0011_4']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0011_4'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_4']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_4'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : d['c_0101_6'], 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_6' : negation(d['c_0101_5']), 'c_1001_1' : d['c_0011_4'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0011_4']), 'c_0110_2' : negation(d['c_0011_4']), 'c_0110_5' : d['c_0101_6'], 'c_0110_4' : negation(d['c_0101_2']), 'c_0110_6' : d['c_0101_5'], 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : negation(d['c_0101_2']), 'c_1010_4' : d['c_0101_6'], 'c_1010_3' : d['c_0011_4'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_2']), 'c_1010_0' : negation(d['c_0101_0'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_4, c_0101_0, c_0101_1, c_0101_2, c_0101_5, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 24 Groebner basis: [ t - 93095847038/5904440757*c_0101_5*c_0101_6^11 - 7142644086/218682991*c_0101_5*c_0101_6^10 - 334799054845/1968146919*c_0101_5*c_0101_6^9 - 973029591418/5904440757*c_0101_5*c_0101_6^8 + 777862376138/5904440757*c_0101_5*c_0101_6^7 + 3368535722618/5904440757*c_0101_5*c_0101_6^6 + 1484116490099/1968146919*c_0101_5*c_0101_6^5 - 73005749614/5904440757*c_0101_5*c_0101_6^4 - 1271366746922/1968146919*c_0101_5*c_0101_6^3 - 724452693254/1968146919*c_0101_5*c_0101_6^2 - 508792009094/5904440757*c_0101_5*c_0101_6 - 163193499652/5904440757*c_0101_5, c_0011_0 - 1, c_0011_4 - 765845500/1968146919*c_0101_5*c_0101_6^11 - 97198462/218682991*c_0101_5*c_0101_6^10 - 2403249752/656048973*c_0101_5*c_0101_6^9 - 1111166135/1968146919*c_0101_5*c_0101_6^8 + 9419882746/1968146919*c_0101_5*c_0101_6^7 + 18190752283/1968146919*c_0101_5*c_0101_6^6 + 4935679264/656048973*c_0101_5*c_0101_6^5 - 20915390432/1968146919*c_0101_5*c_0101_6^4 - 4308864079/656048973*c_0101_5*c_0101_6^3 + 2323767266/656048973*c_0101_5*c_0101_6^2 - 2761448839/1968146919*c_0101_5*c_0101_6 - 1407756878/1968146919*c_0101_5, c_0101_0 + 212543198/656048973*c_0101_6^11 + 84782162/218682991*c_0101_6^10 + 716301185/218682991*c_0101_6^9 + 531809764/656048973*c_0101_6^8 - 1433002754/656048973*c_0101_6^7 - 5491565456/656048973*c_0101_6^6 - 2255194503/218682991*c_0101_6^5 + 2147109871/656048973*c_0101_6^4 + 786007048/218682991*c_0101_6^3 + 1437586912/218682991*c_0101_6^2 + 3887564447/656048973*c_0101_6 - 566286425/656048973, c_0101_1 - 200638994/1968146919*c_0101_6^11 + 31390166/218682991*c_0101_6^10 - 558848575/656048973*c_0101_6^9 + 4217169320/1968146919*c_0101_6^8 - 268227652/1968146919*c_0101_6^7 - 1089117298/1968146919*c_0101_6^6 - 1512090268/656048973*c_0101_6^5 - 7895661946/1968146919*c_0101_6^4 + 5433058516/656048973*c_0101_6^3 + 658194115/656048973*c_0101_6^2 - 7866054308/1968146919*c_0101_6 + 2126656934/1968146919, c_0101_2 + 294075512/656048973*c_0101_5*c_0101_6^11 + 176744302/218682991*c_0101_5*c_0101_6^10 + 1016047260/218682991*c_0101_5*c_0101_6^9 + 2221160005/656048973*c_0101_5*c_0101_6^8 - 2933217131/656048973*c_0101_5*c_0101_6^7 - 10320272771/656048973*c_0101_5*c_0101_6^6 - 3820145246/218682991*c_0101_5*c_0101_6^5 + 3673205974/656048973*c_0101_5*c_0101_6^4 + 3937499686/218682991*c_0101_5*c_0101_6^3 + 1889868515/218682991*c_0101_5*c_0101_6^2 - 937667698/656048973*c_0101_5*c_0101_6 - 682157849/656048973*c_0101_5, c_0101_5^2 - 367903480/1968146919*c_0101_6^11 - 75528934/218682991*c_0101_6^10 - 1268298068/656048973*c_0101_6^9 - 2994726743/1968146919*c_0101_6^8 + 3849161917/1968146919*c_0101_6^7 + 12273493645/1968146919*c_0101_6^6 + 4894173118/656048973*c_0101_6^5 - 4045340801/1968146919*c_0101_6^4 - 4701238708/656048973*c_0101_6^3 - 1876169821/656048973*c_0101_6^2 - 732393781/1968146919*c_0101_6 - 699059627/1968146919, c_0101_6^12 + 2*c_0101_6^11 + 21/2*c_0101_6^10 + 19/2*c_0101_6^9 - 21/2*c_0101_6^8 - 36*c_0101_6^7 - 44*c_0101_6^6 + 8*c_0101_6^5 + 89/2*c_0101_6^4 + 18*c_0101_6^3 + c_0101_6^2 + c_0101_6 - 1/2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB