Magma V2.19-8 Tue Aug 20 2013 16:16:20 on localhost [Seed = 475889913] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0609 geometric_solution 4.61525642 oriented_manifold CS_known 0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 7 1 1 2 2 0132 2310 0132 3201 0 0 0 0 0 -1 1 0 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 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 1.080874698406 2.852841200600 0 3 4 0 0132 0132 0132 3201 0 0 0 0 0 -1 0 1 0 0 0 0 -1 0 0 1 -1 0 1 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 -1 1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.395904193778 0.227313046098 5 0 5 0 0132 2310 1023 0132 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 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 -0.750744416569 0.707834035454 6 1 4 4 0132 0132 3201 2031 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 1 0 -1 0 0 0 0 -1 1 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.352171047639 0.768374846750 3 3 6 1 2310 1302 0132 0132 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.352171047639 0.768374846750 2 5 2 5 0132 1302 1023 2031 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 0.420481559121 0.046967172200 3 6 6 4 0132 1230 3012 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 0 0 0 0 0 0 0 -1 1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.507056210086 1.075516035662 ==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' : negation(d['c_0011_0']), 'c_1100_5' : d['c_0011_2'], 'c_1100_4' : negation(d['c_0011_0']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : negation(d['c_0011_2']), 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : negation(d['c_0011_2']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : negation(d['c_0101_1']), 'c_0101_3' : negation(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' : negation(d['c_0011_2']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_0']), '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' : d['c_0011_2'], 'c_1001_5' : d['c_0101_2'], 'c_1001_4' : d['c_0101_6'], 'c_1001_6' : d['c_0011_0'], 'c_1001_1' : d['c_0011_4'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : d['c_0101_0'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_6'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_1'], 'c_0110_6' : negation(d['c_0101_1']), 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : negation(d['c_0011_2']), 'c_1010_4' : d['c_0011_4'], 'c_1010_3' : d['c_0011_4'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : d['c_0101_1'], '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_2, c_0011_4, c_0101_0, c_0101_1, c_0101_2, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 26 Groebner basis: [ t + 60*c_0101_6^25 - 67*c_0101_6^24 - 769*c_0101_6^23 + 783*c_0101_6^22 + 4301*c_0101_6^21 - 3893*c_0101_6^20 - 14155*c_0101_6^19 + 11148*c_0101_6^18 + 31457*c_0101_6^17 - 21531*c_0101_6^16 - 51218*c_0101_6^15 + 31280*c_0101_6^14 + 63505*c_0101_6^13 - 35513*c_0101_6^12 - 60455*c_0101_6^11 + 31062*c_0101_6^10 + 44175*c_0101_6^9 - 21270*c_0101_6^8 - 24357*c_0101_6^7 + 11484*c_0101_6^6 + 9560*c_0101_6^5 - 4260*c_0101_6^4 - 2556*c_0101_6^3 + 1058*c_0101_6^2 + 384*c_0101_6 - 179, c_0011_0 - 1, c_0011_2 + c_0101_6^25 + 2*c_0101_6^24 - 12*c_0101_6^23 - 26*c_0101_6^22 + 59*c_0101_6^21 + 143*c_0101_6^20 - 156*c_0101_6^19 - 445*c_0101_6^18 + 250*c_0101_6^17 + 902*c_0101_6^16 - 266*c_0101_6^15 - 1320*c_0101_6^14 + 189*c_0101_6^13 + 1473*c_0101_6^12 - 53*c_0101_6^11 - 1242*c_0101_6^10 - 46*c_0101_6^9 + 788*c_0101_6^8 + 54*c_0101_6^7 - 385*c_0101_6^6 - 35*c_0101_6^5 + 127*c_0101_6^4 + 14*c_0101_6^3 - 29*c_0101_6^2 - 2*c_0101_6 + 4, c_0011_4 - c_0101_6^25 + 13*c_0101_6^23 + c_0101_6^22 - 73*c_0101_6^21 - 11*c_0101_6^20 + 238*c_0101_6^19 + 51*c_0101_6^18 - 518*c_0101_6^17 - 134*c_0101_6^16 + 825*c_0101_6^15 + 231*c_0101_6^14 - 1010*c_0101_6^13 - 289*c_0101_6^12 + 958*c_0101_6^11 + 273*c_0101_6^10 - 704*c_0101_6^9 - 190*c_0101_6^8 + 402*c_0101_6^7 + 96*c_0101_6^6 - 171*c_0101_6^5 - 36*c_0101_6^4 + 51*c_0101_6^3 + 9*c_0101_6^2 - 9*c_0101_6 - 1, c_0101_0 - c_0101_6^25 + 12*c_0101_6^23 + c_0101_6^22 - 61*c_0101_6^21 - 10*c_0101_6^20 + 177*c_0101_6^19 + 41*c_0101_6^18 - 341*c_0101_6^17 - 93*c_0101_6^16 + 484*c_0101_6^15 + 138*c_0101_6^14 - 526*c_0101_6^13 - 151*c_0101_6^12 + 432*c_0101_6^11 + 122*c_0101_6^10 - 272*c_0101_6^9 - 68*c_0101_6^8 + 130*c_0101_6^7 + 28*c_0101_6^6 - 41*c_0101_6^5 - 8*c_0101_6^4 + 11*c_0101_6^3 + c_0101_6^2 - c_0101_6, c_0101_1 + c_0101_6^2 - 1, c_0101_2 + 11*c_0101_6^25 + 11*c_0101_6^24 - 138*c_0101_6^23 - 147*c_0101_6^22 + 728*c_0101_6^21 + 834*c_0101_6^20 - 2154*c_0101_6^19 - 2685*c_0101_6^18 + 4112*c_0101_6^17 + 5621*c_0101_6^16 - 5637*c_0101_6^15 - 8419*c_0101_6^14 + 5874*c_0101_6^13 + 9540*c_0101_6^12 - 4542*c_0101_6^11 - 8194*c_0101_6^10 + 2557*c_0101_6^9 + 5264*c_0101_6^8 - 1102*c_0101_6^7 - 2542*c_0101_6^6 + 288*c_0101_6^5 + 860*c_0101_6^4 - 24*c_0101_6^3 - 180*c_0101_6^2 + 19, c_0101_6^26 - 13*c_0101_6^24 - c_0101_6^23 + 73*c_0101_6^22 + 11*c_0101_6^21 - 238*c_0101_6^20 - 51*c_0101_6^19 + 518*c_0101_6^18 + 134*c_0101_6^17 - 825*c_0101_6^16 - 231*c_0101_6^15 + 1010*c_0101_6^14 + 289*c_0101_6^13 - 958*c_0101_6^12 - 273*c_0101_6^11 + 704*c_0101_6^10 + 190*c_0101_6^9 - 402*c_0101_6^8 - 96*c_0101_6^7 + 171*c_0101_6^6 + 36*c_0101_6^5 - 51*c_0101_6^4 - 9*c_0101_6^3 + 10*c_0101_6^2 + c_0101_6 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB