Magma V2.19-8 Tue Aug 20 2013 16:19:07 on localhost [Seed = 4071845769] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3242 geometric_solution 6.37570635 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.557195423452 0.540488213047 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 -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 0.764663872106 0.757315410637 1 3 0 4 1230 3201 0132 2310 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 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 0.764663872106 0.757315410637 1 5 2 6 0132 0132 2310 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 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 1.766651946495 0.805775127289 2 6 5 1 3201 3120 3120 0132 0 0 0 0 0 0 0 0 1 0 -1 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 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.384683017024 0.724179349603 6 3 4 6 3012 0132 3120 1230 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 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 0.512680937490 0.605881971168 5 4 3 5 3012 3120 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 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 0.512680937490 0.605881971168 ==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_0011_2'], 'c_1100_5' : d['c_0011_1'], 'c_1100_4' : d['c_0011_4'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_4'], 'c_1100_0' : d['c_0011_4'], 'c_1100_3' : d['c_0011_2'], 'c_1100_2' : d['c_0011_4'], 'c_0101_6' : d['c_0101_1'], 'c_0101_5' : negation(d['c_0011_4']), '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_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_1'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_2'], '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_4']), 'c_1001_4' : d['c_1001_4'], 'c_1001_6' : negation(d['c_1001_4']), 'c_1001_1' : negation(d['c_0011_2']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0101_1'], '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_0101_1'], 'c_0110_2' : d['c_0011_1'], 'c_0110_5' : d['c_0011_2'], 'c_0110_4' : d['c_0101_1'], 'c_0110_6' : d['c_0011_1'], 'c_1010_6' : negation(d['c_0011_4']), 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : negation(d['c_0011_2']), 'c_1010_3' : negation(d['c_1001_4']), 'c_1010_2' : negation(d['c_0101_1']), '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_0101_1, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t - 1/2*c_1001_4, c_0011_0 - 1, c_0011_1 + c_0011_2 + c_1001_4, c_0011_2^2 + c_0011_2*c_1001_4 + 2, c_0011_4 + c_1001_4 + 1, c_0101_0 - c_1001_4 - 1, c_0101_1 + 1, c_1001_4^2 + c_1001_4 - 1 ], 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_0101_1, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 29994788/56539265*c_1001_4^7 + 28383356/56539265*c_1001_4^6 + 61404227/56539265*c_1001_4^5 - 101919069/56539265*c_1001_4^4 + 98050286/11307853*c_1001_4^3 + 884207759/56539265*c_1001_4^2 + 853781303/56539265*c_1001_4 + 267938369/56539265, c_0011_0 - 1, c_0011_1 - 373634/11307853*c_1001_4^7 - 353469/11307853*c_1001_4^6 - 926066/11307853*c_1001_4^5 + 1571143/11307853*c_1001_4^4 - 6974988/11307853*c_1001_4^3 - 11935714/11307853*c_1001_4^2 - 16560581/11307853*c_1001_4 + 4890486/11307853, c_0011_2 - 373634/11307853*c_1001_4^7 - 353469/11307853*c_1001_4^6 - 926066/11307853*c_1001_4^5 + 1571143/11307853*c_1001_4^4 - 6974988/11307853*c_1001_4^3 - 11935714/11307853*c_1001_4^2 - 16560581/11307853*c_1001_4 + 4890486/11307853, c_0011_4 + 1280974/11307853*c_1001_4^7 - 422323/11307853*c_1001_4^6 + 1359253/11307853*c_1001_4^5 - 5979782/11307853*c_1001_4^4 + 26396629/11307853*c_1001_4^3 + 13646490/11307853*c_1001_4^2 - 7197916/11307853*c_1001_4 + 1672324/11307853, c_0101_0 + 1490016/11307853*c_1001_4^7 - 1331518/11307853*c_1001_4^6 + 1692879/11307853*c_1001_4^5 - 8934351/11307853*c_1001_4^4 + 34657654/11307853*c_1001_4^3 - 2422065/11307853*c_1001_4^2 - 20394509/11307853*c_1001_4 - 3216234/11307853, c_0101_1 - 1973378/11307853*c_1001_4^7 + 136273/11307853*c_1001_4^6 - 3013905/11307853*c_1001_4^5 + 9583210/11307853*c_1001_4^4 - 40775284/11307853*c_1001_4^3 - 20644593/11307853*c_1001_4^2 - 4696335/11307853*c_1001_4 + 4338721/11307853, c_1001_4^8 - 1/2*c_1001_4^7 + 3/2*c_1001_4^6 - 11/2*c_1001_4^5 + 45/2*c_1001_4^4 + 3*c_1001_4^3 - 3/2*c_1001_4^2 - 9/2*c_1001_4 + 5/2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB