Magma V2.19-8 Tue Aug 20 2013 16:18:12 on localhost [Seed = 863153673] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2415 geometric_solution 5.76796732 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 4 0132 0132 0132 0132 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 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 0.667723782776 1.043225142903 0 3 2 5 0132 1230 0132 0132 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 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 1.172876301490 0.625240993628 6 0 4 1 0132 0132 3012 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.667723782776 1.043225142903 5 6 1 0 3201 2103 3012 0132 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 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 0.746026708514 0.239848878333 6 2 0 6 2103 1230 0132 0213 0 0 0 0 0 0 -1 1 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 1.268784360620 0.707881021947 5 5 1 3 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 0.785137672853 0.390580341386 2 3 4 4 0132 2103 2103 0213 0 0 0 0 0 1 0 -1 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 -0.160066148098 1.088415717704 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : d['1'], 's_2_0' : negation(d['1']), 's_2_1' : negation(d['1']), 's_2_2' : negation(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' : d['1'], 's_1_4' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : negation(d['1']), 's_1_0' : negation(d['1']), 's_0_6' : negation(d['1']), 's_0_4' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : d['c_0101_2'], 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : negation(d['c_1001_0']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_3'], 'c_1100_0' : negation(d['c_1001_0']), 'c_1100_3' : negation(d['c_1001_0']), 'c_1100_2' : d['c_0011_3'], 'c_0101_6' : d['c_0101_1'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_5']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_3'], 'c_0011_6' : d['c_0011_0'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0011_5']), 'c_1001_4' : negation(d['c_0011_3']), 'c_1001_6' : d['c_0011_3'], 'c_1001_1' : d['c_1001_0'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0011_0'], 'c_1001_2' : negation(d['c_0011_3']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : d['c_0011_5'], 'c_0110_4' : negation(d['c_0101_2']), 'c_0110_6' : d['c_0101_2'], 'c_1010_6' : negation(d['c_1001_0']), 'c_1010_5' : negation(d['c_0101_0']), 'c_1010_4' : d['c_0101_2'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0011_5']), 'c_1010_0' : negation(d['c_0011_3'])})} 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_3, c_0011_5, c_0101_0, c_0101_1, c_0101_2, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t + 427653325/181664*c_1001_0^15 - 5481599527/544992*c_1001_0^13 + 1696197225/90832*c_1001_0^11 - 2689550075/136248*c_1001_0^9 + 2382760525/181664*c_1001_0^7 - 3037051949/544992*c_1001_0^5 + 783923251/544992*c_1001_0^3 - 5525353/34062*c_1001_0, c_0011_0 - 1, c_0011_3 - 574145/4866*c_1001_0^14 + 792233/1622*c_1001_0^12 - 2135624/2433*c_1001_0^10 + 734379/811*c_1001_0^8 - 2889697/4866*c_1001_0^6 + 1212653/4866*c_1001_0^4 - 307205/4866*c_1001_0^2 + 6037/811, c_0011_5 - 1367179/4866*c_1001_0^14 + 6360665/4866*c_1001_0^12 - 6482884/2433*c_1001_0^10 + 7563743/2433*c_1001_0^8 - 11097845/4866*c_1001_0^6 + 5223893/4866*c_1001_0^4 - 501935/1622*c_1001_0^2 + 104815/2433, c_0101_0 + 323554/811*c_1001_0^15 - 4368682/2433*c_1001_0^13 + 2872836/811*c_1001_0^11 - 9766880/2433*c_1001_0^9 + 2331257/811*c_1001_0^7 - 3218273/2433*c_1001_0^5 + 906505/2433*c_1001_0^3 - 122926/2433*c_1001_0, c_0101_1 + 163471/2433*c_1001_0^14 - 280411/811*c_1001_0^12 + 1812923/2433*c_1001_0^10 - 717905/811*c_1001_0^8 + 1564853/2433*c_1001_0^6 - 728335/2433*c_1001_0^4 + 210238/2433*c_1001_0^2 - 9555/811, c_0101_2 + 2152711/9732*c_1001_0^15 - 9105355/9732*c_1001_0^13 + 8216599/4866*c_1001_0^11 - 4148084/2433*c_1001_0^9 + 10418867/9732*c_1001_0^7 - 1393535/3244*c_1001_0^5 + 1014827/9732*c_1001_0^3 - 28063/2433*c_1001_0, c_1001_0^16 - 601/121*c_1001_0^14 + 1330/121*c_1001_0^12 - 1724/121*c_1001_0^10 + 1449/121*c_1001_0^8 - 819/121*c_1001_0^6 + 309/121*c_1001_0^4 - 72/121*c_1001_0^2 + 8/121 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.210 seconds, Total memory usage: 32.09MB