Magma V2.19-8 Tue Aug 20 2013 16:17:56 on localhost [Seed = 88381888] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2178 geometric_solution 5.64258770 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 0 0 0 0 0 0 0 0 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 1 -1 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.426796631364 0.288863981539 2 0 3 0 0132 2310 0132 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 0 0 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 0.966274814966 0.798735465012 1 4 3 5 0132 0132 3012 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.179583059332 0.977113419003 5 2 4 1 1023 1230 1023 0132 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 1 0 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 1.179583059332 0.977113419003 6 2 3 6 0132 0132 1023 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.299359438620 0.315944504110 5 3 2 5 3012 1023 0132 1230 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 0 -1 0 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 1.079097140473 0.721086280729 4 6 6 4 0132 3201 2310 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.327627225659 1.007583915390 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : 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' : negation(d['c_0011_1']), 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : d['c_0011_1'], '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' : negation(d['c_0011_3']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_3'], 'c_0011_4' : d['c_0011_1'], 'c_0011_6' : negation(d['c_0011_1']), '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_3'], 'c_1001_4' : d['c_0101_3'], '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' : negation(d['c_0011_3']), 'c_1001_2' : negation(d['c_0011_3']), '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' : d['c_0011_3'], 'c_0110_4' : d['c_0101_6'], 'c_0110_6' : negation(d['c_0011_3']), 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : negation(d['c_0011_3']), 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_0101_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_3, c_0101_0, c_0101_1, c_0101_3, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 3 Groebner basis: [ t + 8*c_0101_6^2 + 5*c_0101_6 - 17, c_0011_0 - 1, c_0011_1 - c_0101_6^2 + 1, c_0011_3 - 1, c_0101_0 - c_0101_6, c_0101_1 + c_0101_6, c_0101_3 - c_0101_6^2 + 1, c_0101_6^3 + c_0101_6^2 - 2*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_3, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 3 Groebner basis: [ t - 8*c_0101_6^2 + 5*c_0101_6 + 17, c_0011_0 - 1, c_0011_1 - c_0101_6^2 + 1, c_0011_3 + 1, c_0101_0 + c_0101_6, c_0101_1 - c_0101_6, c_0101_3 + c_0101_6^2 - 1, c_0101_6^3 - c_0101_6^2 - 2*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_3, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t - 303887/723*c_0101_6^13 + 48996/241*c_0101_6^11 - 3897223/723*c_0101_6^9 + 12275579/723*c_0101_6^7 - 14006824/723*c_0101_6^5 + 7888250/723*c_0101_6^3 - 1308052/723*c_0101_6, c_0011_0 - 1, c_0011_1 + 149/1687*c_0101_6^12 - 62/1687*c_0101_6^10 + 1697/1687*c_0101_6^8 - 6148/1687*c_0101_6^6 + 3776/1687*c_0101_6^4 + 376/1687*c_0101_6^2 + 643/1687, c_0011_3 + 580/1687*c_0101_6^13 + 87/1687*c_0101_6^11 + 7387/1687*c_0101_6^9 - 19018/1687*c_0101_6^7 + 13204/1687*c_0101_6^5 - 6677/1687*c_0101_6^3 + 2118/1687*c_0101_6, c_0101_0 - 734/1687*c_0101_6^12 + 396/1687*c_0101_6^10 - 9424/1687*c_0101_6^8 + 30071/1687*c_0101_6^6 - 35709/1687*c_0101_6^4 + 18822/1687*c_0101_6^2 - 2692/1687, c_0101_1 - 816/1687*c_0101_6^12 + 215/1687*c_0101_6^10 - 9939/1687*c_0101_6^8 + 31224/1687*c_0101_6^6 - 24359/1687*c_0101_6^4 + 4519/1687*c_0101_6^2 + 464/1687, c_0101_3 + 1453/1687*c_0101_6^13 - 1216/1687*c_0101_6^11 + 17828/1687*c_0101_6^9 - 65671/1687*c_0101_6^7 + 74276/1687*c_0101_6^5 - 30447/1687*c_0101_6^3 + 3904/1687*c_0101_6, c_0101_6^14 - c_0101_6^12 + 13*c_0101_6^10 - 47*c_0101_6^8 + 66*c_0101_6^6 - 47*c_0101_6^4 + 15*c_0101_6^2 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB