Magma V2.19-8 Tue Aug 20 2013 16:18:24 on localhost [Seed = 1764291679] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2608 geometric_solution 5.89088089 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1230 3012 0132 3201 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 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 0.543177224930 0.289234350791 2 0 3 0 0132 2310 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 -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 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 1.022494591734 0.474525545406 1 3 4 5 0132 0213 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 -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 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 0.559176022387 0.564759232788 5 4 2 1 0132 1023 0213 0132 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 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 0.559176022387 0.564759232788 3 4 4 2 1023 3201 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 0 0 0 -1 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 0 0.637644282572 0.745153356224 3 6 2 6 0132 0132 0132 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.352944983703 1.673770646847 6 5 6 5 2310 0132 3201 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.492927211784 0.335232994156 ==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' : 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' : negation(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' : 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' : negation(d['c_0011_3']), 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : d['c_0011_3'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_1']), 'c_1100_0' : negation(d['c_0011_1']), 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : d['c_0011_3'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_1'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_1']), 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_3'], 'c_0011_6' : d['c_0011_3'], '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' : negation(d['c_0011_1']), 'c_1001_4' : negation(d['c_0101_4']), 'c_1001_6' : negation(d['c_0101_6']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0101_4'], 'c_1001_2' : d['c_0101_4'], '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_0101_1'], 'c_0110_5' : negation(d['c_0011_1']), 'c_0110_4' : d['c_0101_0'], 'c_0110_6' : negation(d['c_0101_6']), 'c_1010_6' : negation(d['c_0011_1']), 'c_1010_5' : negation(d['c_0101_6']), 'c_1010_4' : d['c_0101_4'], 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : negation(d['c_0011_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_3, c_0101_0, c_0101_1, c_0101_4, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t + 13/40*c_0101_4^3 - 123/40*c_0101_4, c_0011_0 - 1, c_0011_1 + 1/4*c_0101_4^2 + 1/4, c_0011_3 + 1/4*c_0101_4^3 - 7/4*c_0101_4, c_0101_0 - 1/4*c_0101_4^3 + 7/4*c_0101_4, c_0101_1 - 1/2*c_0101_4^2 + 3/2, c_0101_4^4 - 10*c_0101_4^2 + 5, c_0101_6 + 1 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_3, c_0101_0, c_0101_1, c_0101_4, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t + 5/2*c_0101_4^3 + 3/2*c_0101_4, c_0011_0 - 1, c_0011_1 + c_0101_4^2 - 2, c_0011_3 + c_0101_4^3 - c_0101_4, c_0101_0 - c_0101_4^3 + c_0101_4, c_0101_1 + 4*c_0101_4^2 - 6, c_0101_4^4 - c_0101_4^2 - 1, c_0101_6 + 1 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_3, c_0101_0, c_0101_1, c_0101_4, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t - 42537426863/2188877976*c_0101_4*c_0101_6^8 + 76349152961/364812996*c_0101_4*c_0101_6^7 - 81120157223/128757528*c_0101_4*c_0101_6^6 + 53075084299/64378764*c_0101_4*c_0101_6^5 - 405805022003/273609747*c_0101_4*c_0101_6^4 - 2443422003047/2188877976*c_0101_4*c_0101_6^3 - 1074704240167/2188877976*c_0101_4*c_0101_6^2 - 631087234921/1094438988*c_0101_4*c_0101_6 - 270736224991/2188877976*c_0101_4, c_0011_0 - 1, c_0011_1 + 84376/847089*c_0101_6^8 - 318259/282363*c_0101_6^7 + 3252926/847089*c_0101_6^6 - 5328593/847089*c_0101_6^5 + 9398528/847089*c_0101_6^4 - 622343/847089*c_0101_6^3 + 2626244/847089*c_0101_6^2 + 250321/847089*c_0101_6 - 421921/847089, c_0011_3 - 3572515/14400513*c_0101_4*c_0101_6^8 + 13625854/4800171*c_0101_4*c_0101_6^7 - 8391481/847089*c_0101_4*c_0101_6^6 + 14114089/847089*c_0101_4*c_0101_6^5 - 408429143/14400513*c_0101_4*c_0101_6^4 + 29065844/14400513*c_0101_4*c_0101_6^3 - 40431806/14400513*c_0101_4*c_0101_6^2 - 65012026/14400513*c_0101_4*c_0101_6 + 15184630/14400513*c_0101_4, c_0101_0 - 12179564/14400513*c_0101_4*c_0101_6^8 + 45814130/4800171*c_0101_4*c_0101_6^7 - 27366419/847089*c_0101_4*c_0101_6^6 + 44213579/847089*c_0101_4*c_0101_6^5 - 1304329330/14400513*c_0101_4*c_0101_6^4 - 37277030/14400513*c_0101_4*c_0101_6^3 - 267801553/14400513*c_0101_4*c_0101_6^2 - 175247132/14400513*c_0101_4*c_0101_6 + 19495286/14400513*c_0101_4, c_0101_1 + 84376/847089*c_0101_6^8 - 318259/282363*c_0101_6^7 + 3252926/847089*c_0101_6^6 - 5328593/847089*c_0101_6^5 + 9398528/847089*c_0101_6^4 - 622343/847089*c_0101_6^3 + 2626244/847089*c_0101_6^2 - 596768/847089*c_0101_6 + 425168/847089, c_0101_4^2 - 633530/14400513*c_0101_6^8 + 2310851/4800171*c_0101_6^7 - 1299236/847089*c_0101_6^6 + 2019548/847089*c_0101_6^5 - 64604851/14400513*c_0101_6^4 - 15522296/14400513*c_0101_6^3 - 33185050/14400513*c_0101_6^2 - 28336508/14400513*c_0101_6 - 6025552/14400513, c_0101_6^9 - 11*c_0101_6^8 + 35*c_0101_6^7 - 51*c_0101_6^6 + 90*c_0101_6^5 + 33*c_0101_6^4 + 24*c_0101_6^3 + 21*c_0101_6^2 + 3*c_0101_6 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.220 seconds, Total memory usage: 32.09MB