Magma V2.19-8 Tue Aug 20 2013 16:15:48 on localhost [Seed = 627357966] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0025 geometric_solution 3.58891392 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1230 3012 0132 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 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 2.925041843295 0.085192602359 0 2 2 0 3201 0132 3201 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.365177326051 0.044386293295 1 1 3 3 2310 0132 0132 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 -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 2.468308551895 0.533307124494 2 4 5 2 3201 0132 0132 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.303892933856 1.063141246071 6 3 5 6 0132 0132 1302 2103 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.001742113885 0.519133412113 4 6 6 3 2031 1230 2310 0132 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 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 0.001742113885 0.519133412113 4 5 5 4 0132 3201 3012 2103 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 -1 1 1 0 -1 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 0.001742113885 0.519133412113 ==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' : negation(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' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : negation(d['1']), 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : negation(d['1']), 's_1_3' : negation(d['1']), 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : d['1'], 's_0_6' : negation(d['1']), 's_0_4' : negation(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_0101_6']), 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : d['c_0011_5'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_1'], 'c_1100_0' : d['c_0011_1'], 'c_1100_3' : d['c_0011_3'], 'c_1100_2' : d['c_0011_3'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0011_5'], 'c_0101_4' : negation(d['c_0011_5']), 'c_0101_3' : negation(d['c_0011_0']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_3']), 'c_0011_6' : d['c_0011_3'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : d['c_0101_6'], 'c_1001_4' : negation(d['c_0011_0']), 'c_1001_6' : negation(d['c_0011_5']), 'c_1001_1' : negation(d['c_0101_2']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0101_6'], 'c_1001_2' : negation(d['c_0011_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_2'], 'c_0110_2' : d['c_0011_0'], 'c_0110_5' : negation(d['c_0011_0']), 'c_0110_4' : d['c_0101_6'], 'c_0110_6' : negation(d['c_0011_5']), 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : d['c_0101_6'], 'c_1010_4' : d['c_0101_6'], 'c_1010_3' : negation(d['c_0011_0']), 'c_1010_2' : negation(d['c_0101_2']), 'c_1010_1' : negation(d['c_0011_0']), '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_1, c_0011_3, c_0011_5, c_0101_0, c_0101_2, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t + 833795625186/160357688315*c_0101_6^10 - 1470465504341/32071537663*c_0101_6^9 + 2219514933934/32071537663*c_0101_6^8 - 57424630557837/160357688315*c_0101_6^7 - 31173915964792/160357688315*c_0101_6^6 - 50707809924803/160357688315*c_0101_6^5 + 31508652481902/160357688315*c_0101_6^4 - 12407918755831/160357688315*c_0101_6^3 - 2279102751131/160357688315*c_0101_6^2 + 771884190323/160357688315*c_0101_6 - 331473413506/160357688315, c_0011_0 - 1, c_0011_1 + 79387867/171505549*c_0101_6^10 - 726747917/171505549*c_0101_6^9 + 1279176603/171505549*c_0101_6^8 - 5711832808/171505549*c_0101_6^7 - 1268370920/171505549*c_0101_6^6 - 3004654193/171505549*c_0101_6^5 + 5401871615/171505549*c_0101_6^4 - 1489673328/171505549*c_0101_6^3 - 82712561/171505549*c_0101_6^2 + 112952621/171505549*c_0101_6 + 338888333/171505549, c_0011_3 + 41355142/171505549*c_0101_6^10 - 375352432/171505549*c_0101_6^9 + 649411649/171505549*c_0101_6^8 - 3028924639/171505549*c_0101_6^7 - 772488750/171505549*c_0101_6^6 - 2437616833/171505549*c_0101_6^5 + 1874678654/171505549*c_0101_6^4 - 1763795534/171505549*c_0101_6^3 - 50619171/171505549*c_0101_6^2 + 50097475/171505549*c_0101_6 + 79667888/171505549, c_0011_5 - 14428115/171505549*c_0101_6^10 + 5301147/7456763*c_0101_6^9 - 143522892/171505549*c_0101_6^8 + 905557299/171505549*c_0101_6^7 + 941893831/171505549*c_0101_6^6 + 950933716/171505549*c_0101_6^5 - 181772884/171505549*c_0101_6^4 + 126856886/171505549*c_0101_6^3 + 573576675/171505549*c_0101_6^2 + 46430185/171505549*c_0101_6 - 6417647/171505549, c_0101_0 + 33594891/171505549*c_0101_6^10 - 308771666/171505549*c_0101_6^9 + 547254073/171505549*c_0101_6^8 - 2393170476/171505549*c_0101_6^7 - 487729692/171505549*c_0101_6^6 - 956112633/171505549*c_0101_6^5 + 2805127855/171505549*c_0101_6^4 - 473669046/171505549*c_0101_6^3 - 30762668/171505549*c_0101_6^2 + 38907507/171505549*c_0101_6 + 317008300/171505549, c_0101_2 + 82377618/171505549*c_0101_6^10 - 749514369/171505549*c_0101_6^9 + 1299421613/171505549*c_0101_6^8 - 5972002558/171505549*c_0101_6^7 - 1511574849/171505549*c_0101_6^6 - 4088146623/171505549*c_0101_6^5 + 4465444096/171505549*c_0101_6^4 - 2267170484/171505549*c_0101_6^3 - 102080576/171505549*c_0101_6^2 + 149623568/171505549*c_0101_6 + 9446531/7456763, c_0101_6^11 - 9*c_0101_6^10 + 15*c_0101_6^9 - 72*c_0101_6^8 - 24*c_0101_6^7 - 60*c_0101_6^6 + 44*c_0101_6^5 - 34*c_0101_6^4 - 2*c_0101_6^3 - 3*c_0101_6^2 + 2*c_0101_6 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB