Magma V2.19-8 Tue Aug 20 2013 16:16:52 on localhost [Seed = 3153733482] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1125 geometric_solution 4.99101419 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 1 0 0 0132 3201 2031 1302 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 -1 1 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 0.476724770934 0.243233057203 0 2 0 3 0132 0132 2310 0132 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 1 -1 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 1.279733811351 1.128362579753 4 1 5 3 0132 0132 0132 1230 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 -1 1 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 1.250839760133 0.826613930992 2 5 1 4 3012 1023 0132 1023 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.250839760133 0.826613930992 2 4 4 3 0132 3201 2310 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.015130352867 0.534156941887 3 6 6 2 1023 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 0 1 -1 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 0.911716013012 0.324634443055 6 5 5 6 3012 0132 1023 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.432553400479 0.400649315636 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : 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' : negation(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' : negation(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' : d['c_0011_3'], 'c_1100_4' : negation(d['c_0011_0']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : d['c_0101_0'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : d['c_0011_3'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0011_3'], 'c_0101_3' : d['c_0101_0'], '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_3'], 'c_0011_4' : negation(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' : d['c_0011_0'], 'c_1001_5' : d['c_0101_6'], 'c_1001_4' : negation(d['c_0011_3']), 'c_1001_6' : d['c_0101_5'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : d['c_0101_5'], 'c_1001_2' : d['c_0101_5'], '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_0101_2'], 'c_0110_6' : negation(d['c_0011_3']), 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : d['c_0011_3'], 'c_1010_3' : d['c_0101_2'], 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : d['c_0101_5'], '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_3, 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: 9 Groebner basis: [ t - 121386099/213684107*c_0101_6^8 + 454300625/213684107*c_0101_6^7 - 155211142/30526301*c_0101_6^6 + 515166303/61052602*c_0101_6^5 - 1445170172/213684107*c_0101_6^4 + 404808167/427368214*c_0101_6^3 - 2928363181/427368214*c_0101_6^2 + 30310417/2348177*c_0101_6 - 2694225853/427368214, c_0011_0 - 1, c_0011_3 + 10066/180629*c_0101_6^8 - 16392/180629*c_0101_6^7 + 34833/180629*c_0101_6^6 - 13694/180629*c_0101_6^5 - 67042/180629*c_0101_6^4 + 59611/361258*c_0101_6^3 + 160746/180629*c_0101_6^2 - 5285/180629*c_0101_6 - 73423/361258, c_0101_0 + 65671/361258*c_0101_6^8 - 109063/180629*c_0101_6^7 + 508675/361258*c_0101_6^6 - 1624179/722516*c_0101_6^5 + 1113585/722516*c_0101_6^4 - 166351/722516*c_0101_6^3 + 2111029/722516*c_0101_6^2 - 2141545/722516*c_0101_6 + 846561/722516, c_0101_1 - 71201/361258*c_0101_6^8 + 110551/180629*c_0101_6^7 - 514999/361258*c_0101_6^6 + 1609581/722516*c_0101_6^5 - 1087655/722516*c_0101_6^4 + 284587/722516*c_0101_6^3 - 2062553/722516*c_0101_6^2 + 2150869/722516*c_0101_6 - 559775/722516, c_0101_2 - 159551/361258*c_0101_6^8 + 565559/361258*c_0101_6^7 - 657353/180629*c_0101_6^6 + 4210239/722516*c_0101_6^5 - 1467665/361258*c_0101_6^4 - 329745/722516*c_0101_6^3 - 906287/180629*c_0101_6^2 + 6506889/722516*c_0101_6 - 1275079/361258, c_0101_5 - 24483/180629*c_0101_6^8 + 159161/361258*c_0101_6^7 - 405953/361258*c_0101_6^6 + 656449/361258*c_0101_6^5 - 1129527/722516*c_0101_6^4 + 277119/361258*c_0101_6^3 - 1372285/722516*c_0101_6^2 + 1048687/361258*c_0101_6 - 1711903/722516, c_0101_6^9 - 4*c_0101_6^8 + 10*c_0101_6^7 - 35/2*c_0101_6^6 + 33/2*c_0101_6^5 - 6*c_0101_6^4 + 27/2*c_0101_6^3 - 26*c_0101_6^2 + 37/2*c_0101_6 - 13/2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB