Magma V2.19-8 Tue Aug 20 2013 16:17:13 on localhost [Seed = 1048552163] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1451 geometric_solution 5.27100059 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 2 0 0 0132 0132 1230 3012 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 -1 1 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 0.609208038233 0.829154856286 0 3 2 4 0132 0132 1230 0132 0 0 0 0 0 0 -1 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 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 1.025419058384 0.903311109949 3 0 4 1 2310 0132 3201 3012 0 0 0 0 0 1 -1 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 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 1.025419058384 0.903311109949 3 1 2 3 3201 0132 3201 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.267626624573 0.669943193793 2 5 1 5 2310 0132 0132 1023 0 0 0 0 0 1 -1 0 0 0 0 0 0 -1 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 -1 1 0 -1 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.377199872729 0.358589271221 6 4 6 4 0132 0132 2310 1023 0 0 0 0 0 -1 1 0 0 0 0 0 0 1 0 -1 -1 1 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.935078124871 0.318955584545 5 5 6 6 0132 3201 1230 3012 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.600987949869 0.222132634396 ==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' : 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_0101_5'], 'c_1100_5' : d['c_0011_4'], 'c_1100_4' : negation(d['c_0011_4']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_4']), 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : negation(d['c_0011_4']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0011_4'], '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_4']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_4'], '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' : negation(d['c_0011_0']), 'c_1001_5' : d['c_0101_6'], 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_6' : negation(d['c_0101_5']), 'c_1001_1' : d['c_0011_4'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0011_4']), 'c_0110_2' : negation(d['c_0011_4']), 'c_0110_5' : d['c_0101_6'], 'c_0110_4' : negation(d['c_0101_2']), 'c_0110_6' : d['c_0101_5'], 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : negation(d['c_0101_2']), 'c_1010_4' : d['c_0101_6'], 'c_1010_3' : d['c_0011_4'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_2']), '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_4, 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: 20 Groebner basis: [ t + 6713/517*c_0101_5*c_0101_6^9 - 7276/517*c_0101_5*c_0101_6^8 - 19506/517*c_0101_5*c_0101_6^7 - 6132/517*c_0101_5*c_0101_6^6 - 15661/517*c_0101_5*c_0101_6^5 + 67306/517*c_0101_5*c_0101_6^4 + 46722/517*c_0101_5*c_0101_6^3 - 130742/517*c_0101_5*c_0101_6^2 + 21806/517*c_0101_5*c_0101_6 + 60866/517*c_0101_5, c_0011_0 - 1, c_0011_4 + 478/47*c_0101_5*c_0101_6^9 + 179/47*c_0101_5*c_0101_6^8 - 1550/47*c_0101_5*c_0101_6^7 - 2845/47*c_0101_5*c_0101_6^6 - 3938/47*c_0101_5*c_0101_6^5 + 1502/47*c_0101_5*c_0101_6^4 + 9067/47*c_0101_5*c_0101_6^3 + 2808/47*c_0101_5*c_0101_6^2 - 1831/47*c_0101_5*c_0101_6 - 612/47*c_0101_5, c_0101_0 + 407/47*c_0101_6^9 + 112/47*c_0101_6^8 - 1318/47*c_0101_6^7 - 2300/47*c_0101_6^6 - 3169/47*c_0101_6^5 + 1555/47*c_0101_6^4 + 7528/47*c_0101_6^3 + 1810/47*c_0101_6^2 - 1555/47*c_0101_6 - 515/47, c_0101_1 - 763/47*c_0101_6^9 - 346/47*c_0101_6^8 + 2472/47*c_0101_6^7 + 4752/47*c_0101_6^6 + 6578/47*c_0101_6^5 - 2030/47*c_0101_6^4 - 14870/47*c_0101_6^3 - 5647/47*c_0101_6^2 + 2970/47*c_0101_6 + 1382/47, c_0101_2 + 4*c_0101_5*c_0101_6^9 + 3*c_0101_5*c_0101_6^8 - 13*c_0101_5*c_0101_6^7 - 29*c_0101_5*c_0101_6^6 - 40*c_0101_5*c_0101_6^5 + 4*c_0101_5*c_0101_6^4 + 86*c_0101_5*c_0101_6^3 + 51*c_0101_5*c_0101_6^2 - 18*c_0101_5*c_0101_6 - 15*c_0101_5, c_0101_5^2 - 4392/799*c_0101_6^9 - 1639/799*c_0101_6^8 + 14209/799*c_0101_6^7 + 26321/799*c_0101_6^6 + 36246/799*c_0101_6^5 - 14177/799*c_0101_6^4 - 83814/799*c_0101_6^3 - 28051/799*c_0101_6^2 + 16997/799*c_0101_6 + 7223/799, c_0101_6^10 + c_0101_6^9 - 3*c_0101_6^8 - 8*c_0101_6^7 - 12*c_0101_6^6 - 2*c_0101_6^5 + 21*c_0101_6^4 + 18*c_0101_6^3 - 4*c_0101_6 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB