Magma V2.19-8 Tue Aug 20 2013 16:19:13 on localhost [Seed = 1259001423] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3339 geometric_solution 6.48020186 oriented_manifold CS_known 0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 4 0132 0132 0132 0132 0 0 0 0 0 -1 -1 2 -1 0 0 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 -1 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 0 0 0 0 0.655558808616 0.680593214912 0 5 4 4 0132 0132 1302 3201 0 0 0 0 0 0 0 0 1 0 0 -1 1 0 0 -1 0 -1 1 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.781658912375 1.520182291433 3 0 5 6 2310 0132 3120 0132 0 0 0 0 0 1 -1 0 0 0 -1 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 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 0.579819857840 0.649514693258 5 6 2 0 3120 1023 3201 0132 0 0 0 0 0 -1 0 1 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 0.579819857840 0.649514693258 1 1 0 5 2031 2310 0132 2310 0 0 0 0 0 1 -2 1 0 0 -1 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 0 -1 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 0.781658912375 1.520182291433 4 1 2 3 3201 0132 3120 3120 0 0 0 0 0 0 0 0 0 0 1 -1 -1 1 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 -1 1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.352555262705 0.362375559404 3 6 2 6 1023 1302 0132 2031 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.577597336465 0.516123772962 ==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_3']), 'c_1100_5' : negation(d['c_0101_2']), 'c_1100_4' : d['c_0011_0'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_4']), 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : negation(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_0011_4']), 'c_0101_3' : d['c_0101_2'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_4']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : 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' : negation(d['c_1001_2']), 'c_1001_4' : d['c_1001_2'], 'c_1001_6' : d['c_0110_6'], 'c_1001_1' : negation(d['c_0011_3']), 'c_1001_0' : d['c_0110_6'], 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : d['c_1001_2'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_4']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_2']), 'c_0110_5' : d['c_0101_0'], 'c_0110_4' : negation(d['c_0011_3']), 'c_0110_6' : d['c_0110_6'], 'c_1010_6' : d['c_0011_3'], 'c_1010_5' : negation(d['c_0011_3']), 'c_1010_4' : negation(d['c_0101_0']), 'c_1010_3' : d['c_0110_6'], 'c_1010_2' : d['c_0110_6'], 'c_1010_1' : negation(d['c_1001_2']), 'c_1010_0' : d['c_1001_2']})} 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_0011_4, c_0101_0, c_0101_2, c_0110_6, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t + 42*c_1001_2^3 - 41*c_1001_2^2 - 50*c_1001_2 + 25, c_0011_0 - 1, c_0011_3 + 6*c_1001_2^3 - 5*c_1001_2^2 - 8*c_1001_2 + 4, c_0011_4 + 3*c_1001_2^3 - 4*c_1001_2^2 - 5*c_1001_2 + 3, c_0101_0 - c_1001_2, c_0101_2 + 1, c_0110_6 - 6*c_1001_2^3 + 5*c_1001_2^2 + 9*c_1001_2 - 4, c_1001_2^4 - 4/3*c_1001_2^3 - c_1001_2^2 + 4/3*c_1001_2 - 1/3 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_4, c_0101_0, c_0101_2, c_0110_6, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t + 118*c_1001_2^12 + 660*c_1001_2^11 + 502*c_1001_2^10 - 2446*c_1001_2^9 - 2131*c_1001_2^8 + 5631*c_1001_2^7 + 2994*c_1001_2^6 - 6765*c_1001_2^5 - 1419*c_1001_2^4 + 4087*c_1001_2^3 - 202*c_1001_2^2 - 1004*c_1001_2 + 261, c_0011_0 - 1, c_0011_3 + 2*c_1001_2^12 + 8*c_1001_2^11 - 10*c_1001_2^10 - 60*c_1001_2^9 + 21*c_1001_2^8 + 164*c_1001_2^7 - 66*c_1001_2^6 - 215*c_1001_2^5 + 92*c_1001_2^4 + 135*c_1001_2^3 - 58*c_1001_2^2 - 33*c_1001_2 + 14, c_0011_4 - 8*c_1001_2^12 - 46*c_1001_2^11 - 42*c_1001_2^10 + 156*c_1001_2^9 + 171*c_1001_2^8 - 335*c_1001_2^7 - 257*c_1001_2^6 + 372*c_1001_2^5 + 166*c_1001_2^4 - 203*c_1001_2^3 - 31*c_1001_2^2 + 44*c_1001_2 - 6, c_0101_0 - c_1001_2, c_0101_2 - 13*c_1001_2^12 - 73*c_1001_2^11 - 58*c_1001_2^10 + 263*c_1001_2^9 + 240*c_1001_2^8 - 592*c_1001_2^7 - 339*c_1001_2^6 + 686*c_1001_2^5 + 177*c_1001_2^4 - 397*c_1001_2^3 + 3*c_1001_2^2 + 92*c_1001_2 - 22, c_0110_6 + 14*c_1001_2^12 + 76*c_1001_2^11 + 46*c_1001_2^10 - 305*c_1001_2^9 - 215*c_1001_2^8 + 717*c_1001_2^7 + 279*c_1001_2^6 - 871*c_1001_2^5 - 98*c_1001_2^4 + 523*c_1001_2^3 - 54*c_1001_2^2 - 125*c_1001_2 + 35, c_1001_2^13 + 5*c_1001_2^12 + c_1001_2^11 - 23*c_1001_2^10 - 6*c_1001_2^9 + 57*c_1001_2^8 - 2*c_1001_2^7 - 69*c_1001_2^6 + 19*c_1001_2^5 + 39*c_1001_2^4 - 19*c_1001_2^3 - 7*c_1001_2^2 + 6*c_1001_2 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB