Magma V2.19-8 Tue Aug 20 2013 16:18:30 on localhost [Seed = 2362249663] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2683 geometric_solution 5.94277241 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 2 1230 3012 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 -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 0.659398113014 0.632792566361 3 2 4 0 0132 3012 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 0 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 0.610018919211 0.287941887270 1 3 0 5 1230 3201 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 1 0 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 1.761644487326 0.882456697150 1 4 2 5 0132 0213 2310 0213 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 1 -1 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 1.081714284268 0.819200443954 5 6 3 1 0132 0132 0213 0132 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 0.081714284268 0.819200443954 4 6 2 3 0132 2310 0132 0213 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 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 0 0 0 0 0 0.081714284268 0.819200443954 6 4 6 5 2031 0132 1302 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.681714396897 1.118515873942 ==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' : negation(d['1']), 's_3_0' : d['1'], 's_2_0' : d['1'], 's_2_1' : negation(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' : d['1'], 's_1_3' : negation(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' : d['1'], 's_0_2' : d['1'], 's_0_3' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : d['c_0011_4'], 'c_1100_5' : d['c_1010_3'], 'c_1100_4' : d['c_1010_3'], 's_3_6' : d['1'], 'c_1100_1' : d['c_1010_3'], 'c_1100_0' : d['c_1010_3'], 'c_1100_3' : d['c_0011_2'], 'c_1100_2' : d['c_1010_3'], 'c_0101_6' : d['c_0011_4'], 'c_0101_5' : d['c_0011_1'], 'c_0101_4' : negation(d['c_0011_1']), 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : d['c_0011_0'], 'c_0101_1' : d['c_0011_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' : negation(d['c_0011_4']), 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_1']), 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_1001_3']), 'c_1001_4' : d['c_1001_3'], 'c_1001_6' : negation(d['c_0011_2']), 'c_1001_1' : negation(d['c_0011_2']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0011_1'], 'c_0110_2' : d['c_0011_1'], 'c_0110_5' : negation(d['c_0011_1']), 'c_0110_4' : d['c_0011_1'], 'c_0110_6' : negation(d['c_0011_2']), 'c_1010_6' : d['c_1001_3'], 'c_1010_5' : d['c_0011_2'], 'c_1010_4' : negation(d['c_0011_2']), 'c_1010_3' : d['c_1010_3'], 'c_1010_2' : negation(d['c_1001_3']), '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_2, c_0011_4, c_0101_0, c_1001_3, c_1010_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t + 509/10304*c_1010_3^6 - 421/5152*c_1010_3^5 - 3583/10304*c_1010_3^4 + 1387/2576*c_1010_3^3 + 3573/2576*c_1010_3^2 - 285/644*c_1010_3 - 2587/644, c_0011_0 - 1, c_0011_1 - 1/64*c_1010_3^6 + 1/64*c_1010_3^4 + 3/16*c_1010_3^3 - 3/16*c_1010_3^2 - 1/2*c_1010_3 - 3/4, c_0011_2 + 5/161*c_1001_3*c_1010_3^6 - 39/322*c_1001_3*c_1010_3^5 + 9/322*c_1001_3*c_1010_3^4 + 39/161*c_1001_3*c_1010_3^3 + 61/161*c_1001_3*c_1010_3^2 - 171/161*c_1001_3*c_1010_3 - 71/161*c_1001_3, c_0011_4 - 183/5152*c_1001_3*c_1010_3^6 + 55/644*c_1001_3*c_1010_3^5 + 431/5152*c_1001_3*c_1010_3^4 - 381/1288*c_1001_3*c_1010_3^3 - 695/1288*c_1001_3*c_1010_3^2 + 102/161*c_1001_3*c_1010_3 + 257/322*c_1001_3, c_0101_0 - 75/1288*c_1001_3*c_1010_3^6 + 53/322*c_1001_3*c_1010_3^5 + 13/1288*c_1001_3*c_1010_3^4 - 53/161*c_1001_3*c_1010_3^3 - 377/644*c_1001_3*c_1010_3^2 + 279/322*c_1001_3*c_1010_3 - 48/161*c_1001_3, c_1001_3^2 - 1/128*c_1010_3^6 + 1/128*c_1010_3^4 + 31/32*c_1010_3^3 - 39/32*c_1010_3^2 - 3/2*c_1010_3 - 3/8, c_1010_3^7 - 3*c_1010_3^6 - c_1010_3^5 + 7*c_1010_3^4 + 16*c_1010_3^3 - 20*c_1010_3^2 - 16*c_1010_3 - 16 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB