Magma V2.19-8 Tue Aug 20 2013 16:16:03 on localhost [Seed = 442205916] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0301 geometric_solution 4.34126353 oriented_manifold CS_known -0.0000000000000005 1 0 torus 0.000000000000 0.000000000000 7 1 2 1 3 0132 0132 1023 0132 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 -1 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 0 0 0 0.153200890272 1.222139302279 0 4 0 4 0132 0132 1023 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.656988332525 0.147329087513 5 0 5 3 0132 0132 1023 1230 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 1 -1 0 1 0 0 -1 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2.175618551034 1.587864307780 2 6 0 6 3012 0132 0132 1023 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 -1 1 0 0 0 0 1 0 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2.175618551034 1.587864307780 1 1 4 4 3201 0132 1230 3012 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.549992086128 0.065187481773 2 6 2 6 0132 3201 1023 2310 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 -1 0 1 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 0.425352899596 0.425386127600 5 3 5 3 3201 0132 2310 1023 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 0 0 1 -1 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.425352899596 0.425386127600 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : 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' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : d['c_0011_0'], 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : d['c_0110_4'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : d['c_0011_3'], 'c_0101_6' : negation(d['c_0101_2']), 'c_0101_5' : d['c_0011_3'], 'c_0101_4' : negation(d['c_0101_0']), 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_0'], 'c_0011_6' : negation(d['c_0011_3']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : d['c_0101_2'], 'c_1001_4' : negation(d['c_0110_4']), 'c_1001_6' : d['c_0110_6'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_0011_3'], 'c_1001_2' : d['c_0011_3'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_3'], 'c_0110_2' : d['c_0011_3'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0110_4'], 'c_0110_6' : d['c_0110_6'], 'c_1010_6' : d['c_0011_3'], 'c_1010_5' : negation(d['c_0110_6']), 'c_1010_4' : d['c_0101_0'], 'c_1010_3' : d['c_0110_6'], 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : negation(d['c_0110_4']), 'c_1010_0' : d['c_0011_3']})} 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_3, c_0101_0, c_0101_1, c_0101_2, c_0110_4, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t - 620125/3*c_0110_6^15 - 497510*c_0110_6^14 + 1087921/3*c_0110_6^13 - 969556*c_0110_6^12 + 18079694/3*c_0110_6^11 - 38596238/3*c_0110_6^10 + 66502117/3*c_0110_6^9 - 34694739*c_0110_6^8 + 128233366/3*c_0110_6^7 - 125362484/3*c_0110_6^6 + 102922178/3*c_0110_6^5 - 69039793/3*c_0110_6^4 + 11472311*c_0110_6^3 - 11491531/3*c_0110_6^2 + 2259826/3*c_0110_6 - 197294/3, c_0011_0 - 1, c_0011_3 - 5*c_0110_6^15 - 14*c_0110_6^14 + 2*c_0110_6^13 - 27*c_0110_6^12 + 133*c_0110_6^11 - 267*c_0110_6^10 + 460*c_0110_6^9 - 708*c_0110_6^8 + 841*c_0110_6^7 - 806*c_0110_6^6 + 647*c_0110_6^5 - 422*c_0110_6^4 + 200*c_0110_6^3 - 65*c_0110_6^2 + 12*c_0110_6 - 1, c_0101_0 - 650*c_0110_6^15 - 1795*c_0110_6^14 + 400*c_0110_6^13 - 3254*c_0110_6^12 + 17658*c_0110_6^11 - 34783*c_0110_6^10 + 59848*c_0110_6^9 - 91933*c_0110_6^8 + 108926*c_0110_6^7 - 103195*c_0110_6^6 + 82438*c_0110_6^5 - 52939*c_0110_6^4 + 24623*c_0110_6^3 - 7420*c_0110_6^2 + 1242*c_0110_6 - 80, c_0101_1 - 90*c_0110_6^15 - 247*c_0110_6^14 + 55*c_0110_6^13 - 469*c_0110_6^12 + 2438*c_0110_6^11 - 4895*c_0110_6^10 + 8458*c_0110_6^9 - 13026*c_0110_6^8 + 15564*c_0110_6^7 - 14923*c_0110_6^6 + 12037*c_0110_6^5 - 7852*c_0110_6^4 + 3766*c_0110_6^3 - 1204*c_0110_6^2 + 228*c_0110_6 - 19, c_0101_2 - c_0110_6, c_0110_4 - 830*c_0110_6^15 - 69*c_0110_6^14 + 7051*c_0110_6^13 - 4430*c_0110_6^12 + 33284*c_0110_6^11 - 103190*c_0110_6^10 + 184097*c_0110_6^9 - 300990*c_0110_6^8 + 417967*c_0110_6^7 - 449568*c_0110_6^6 + 394929*c_0110_6^5 - 291708*c_0110_6^4 + 167569*c_0110_6^3 - 66075*c_0110_6^2 + 15449*c_0110_6 - 1604, c_0110_6^16 + 9/5*c_0110_6^15 - 16/5*c_0110_6^14 + 29/5*c_0110_6^13 - 32*c_0110_6^12 + 80*c_0110_6^11 - 727/5*c_0110_6^10 + 1168/5*c_0110_6^9 - 1549/5*c_0110_6^8 + 1647/5*c_0110_6^7 - 1453/5*c_0110_6^6 + 1069/5*c_0110_6^5 - 622/5*c_0110_6^4 + 53*c_0110_6^3 - 76/5*c_0110_6^2 + 13/5*c_0110_6 - 1/5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB