Magma V2.19-8 Tue Aug 20 2013 16:17:06 on localhost [Seed = 1916006051] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1343 geometric_solution 5.21821178 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1302 2031 0132 2310 0 0 0 0 0 -1 -1 2 -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 1 -1 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 3.053579479659 1.625865665656 0 2 2 0 3201 0132 3201 0132 0 0 0 0 0 -1 0 1 1 0 -1 0 -2 1 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 0 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.133334495197 0.643508653396 1 1 3 4 2310 0132 0132 0132 0 0 0 0 0 1 0 -1 -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 -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 -0.417160138851 0.523407820993 4 5 6 2 1023 0132 0132 0132 0 0 0 0 0 0 0 0 1 0 -1 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 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 -0.080588421637 0.885642881646 5 3 2 6 3201 1023 0132 0132 0 0 0 0 0 -1 1 0 0 0 -1 1 0 -1 0 1 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 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 -0.080588421637 0.885642881646 5 3 5 4 2310 0132 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.101900013974 1.119850968446 6 6 4 3 1230 3012 0132 0132 0 0 0 0 0 0 0 0 0 0 -1 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 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 1.424778502147 1.240565682916 ==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' : negation(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' : negation(d['1']), 's_0_6' : d['1'], 's_0_4' : d['1'], 's_0_5' : negation(d['1']), 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : d['1'], 'c_1100_6' : d['c_1100_2'], 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : d['c_1100_2'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_1'], 'c_1100_0' : d['c_0011_1'], 'c_1100_3' : d['c_1100_2'], 'c_1100_2' : d['c_1100_2'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0101_1']), 'c_0101_4' : negation(d['c_0101_1']), 'c_0101_3' : d['c_0011_6'], 'c_0101_2' : negation(d['c_0011_6']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_0']), 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_3'], 'c_0011_6' : d['c_0011_6'], '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_1'], 'c_1001_4' : d['c_0011_6'], 'c_1001_6' : negation(d['c_0011_6']), 'c_1001_1' : d['c_0011_6'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0101_6']), 'c_1001_2' : d['c_0101_1'], 'c_0110_1' : negation(d['c_0011_0']), 'c_0110_0' : negation(d['c_0101_1']), 'c_0110_3' : negation(d['c_0011_6']), 'c_0110_2' : negation(d['c_0101_1']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_6'], 'c_0110_6' : d['c_0011_6'], 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : negation(d['c_0101_6']), 'c_1010_4' : negation(d['c_0011_6']), 'c_1010_3' : d['c_0101_1'], 'c_1010_2' : d['c_0011_6'], 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : d['c_0011_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_6, c_0101_1, c_0101_6, c_1100_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t + 4359741866614741/1425676430622168*c_0101_6*c_1100_2^6 + 207546032517125165/1425676430622168*c_0101_6*c_1100_2^5 - 17584775755337165/26401415381892*c_0101_6*c_1100_2^4 + 701151144009925279/712838215311084*c_0101_6*c_1100_2^3 + 592491466104071023/1425676430622168*c_0101_6*c_1100_2^2 - 798469583683942759/1425676430622168*c_0101_6*c_1100_2 - 1803289845271145693/1425676430622168*c_0101_6, c_0011_0 - 1, c_0011_1 + 6602718/4391452991*c_1100_2^6 + 321850261/4391452991*c_1100_2^5 - 1084615389/4391452991*c_1100_2^4 + 228727963/4391452991*c_1100_2^3 + 3126994014/4391452991*c_1100_2^2 + 2280958884/4391452991*c_1100_2 - 2579750860/4391452991, c_0011_3 + 1282481138/355707692271*c_0101_6*c_1100_2^6 + 61094133334/355707692271*c_0101_6*c_1100_2^5 - 30959615525/39523076919*c_0101_6*c_1100_2^4 + 340630067686/355707692271*c_0101_6*c_1100_2^3 + 365909192567/355707692271*c_0101_6*c_1100_2^2 - 484850514854/355707692271*c_0101_6*c_1100_2 - 641854012972/355707692271*c_0101_6, c_0011_6 + 2523364/4391452991*c_1100_2^6 + 124564653/4391452991*c_1100_2^5 - 330150989/4391452991*c_1100_2^4 + 273129658/4391452991*c_1100_2^3 + 2122457172/4391452991*c_1100_2^2 - 983979414/4391452991*c_1100_2 - 1463025845/4391452991, c_0101_1 - 873187507/355707692271*c_0101_6*c_1100_2^6 - 40794265553/355707692271*c_0101_6*c_1100_2^5 + 25288977229/39523076919*c_0101_6*c_1100_2^4 - 419483649746/355707692271*c_0101_6*c_1100_2^3 + 139261731773/355707692271*c_0101_6*c_1100_2^2 + 122181646195/355707692271*c_0101_6*c_1100_2 + 623915581772/355707692271*c_0101_6, c_0101_6^2 - 5126102/4391452991*c_1100_2^6 - 264523215/4391452991*c_1100_2^5 + 77486150/4391452991*c_1100_2^4 - 288902515/4391452991*c_1100_2^3 + 651942888/4391452991*c_1100_2^2 - 1415117855/4391452991*c_1100_2 - 1130450013/4391452991, c_1100_2^7 + 48*c_1100_2^6 - 199*c_1100_2^5 + 236*c_1100_2^4 + 261*c_1100_2^3 - 126*c_1100_2^2 - 486*c_1100_2 - 167 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB