Magma V2.19-8 Tue Aug 20 2013 16:17:48 on localhost [Seed = 21011938] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2044 geometric_solution 5.57642536 oriented_manifold CS_known 0.0000000000000001 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 0.259285514450 0.329821451027 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 1 0 0 -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 1.267594807733 1.544045165489 1 4 3 5 0132 0132 0213 0132 0 0 0 0 0 0 0 0 0 0 1 -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 -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 0.607105018387 0.473432288227 5 2 4 1 0132 0213 1023 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.607105018387 0.473432288227 4 2 3 4 3012 0132 1023 1230 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 0.975721227968 0.798752486207 3 6 2 6 0132 0132 0132 1023 0 0 0 0 0 0 0 0 0 0 1 -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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.906154098918 0.396557959106 6 5 6 5 2310 0132 3201 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.808309958514 0.209809677587 ==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' : negation(d['c_0011_3']), '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' : d['c_0101_4'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_3'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_3'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_1'], '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' : d['c_0101_3'], 'c_1001_4' : d['c_0101_3'], 'c_1001_6' : negation(d['c_0101_6']), 'c_1001_1' : d['c_0011_3'], '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_0011_3'], '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_0101_3'], 'c_0110_4' : d['c_0011_1'], 'c_0110_6' : negation(d['c_0101_6']), 'c_1010_6' : d['c_0101_3'], 'c_1010_5' : negation(d['c_0101_6']), 'c_1010_4' : d['c_0101_4'], 'c_1010_3' : d['c_0011_3'], 'c_1010_2' : d['c_0101_3'], 'c_1010_1' : negation(d['c_0011_0']), '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_1, c_0011_3, c_0101_1, c_0101_3, c_0101_4, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 5/32*c_0101_4^6 - 29/16*c_0101_4^4 - 9/8*c_0101_4^2 - 1/2, c_0011_0 - 1, c_0011_1 - 1/16*c_0101_4^6 + 3/4*c_0101_4^4 - 1/2, c_0011_3 - 1/16*c_0101_4^7 + 13/16*c_0101_4^5 - 5/8*c_0101_4^3 - 1/4*c_0101_4, c_0101_1 + 1/16*c_0101_4^6 - 3/4*c_0101_4^4 - 1/2*c_0101_4^2 + 3/2, c_0101_3 - 1/16*c_0101_4^6 + 3/4*c_0101_4^4 - 1/2, c_0101_4^8 - 12*c_0101_4^6 - 4*c_0101_4^4 + 16*c_0101_4^2 + 16, 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_1, c_0101_3, c_0101_4, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t - 63415/191*c_0101_6^7 + 481085/191*c_0101_6^6 - 750972/191*c_0101_6^5 - 1398474/191*c_0101_6^4 + 3117483/191*c_0101_6^3 - 1162719/191*c_0101_6^2 - 295103/191*c_0101_6 + 177779/191, c_0011_0 - 1, c_0011_1 - 65/191*c_0101_6^7 + 511/191*c_0101_6^6 - 916/191*c_0101_6^5 - 1176/191*c_0101_6^4 + 3663/191*c_0101_6^3 - 2401/191*c_0101_6^2 - 237/191*c_0101_6 + 427/191, c_0011_3 - 236/191*c_0101_4*c_0101_6^7 + 1823/191*c_0101_4*c_0101_6^6 - 3029/191*c_0101_4*c_0101_6^5 - 4928/191*c_0101_4*c_0101_6^4 + 12512/191*c_0101_4*c_0101_6^3 - 5541/191*c_0101_4*c_0101_6^2 - 1457/191*c_0101_4*c_0101_6 + 898/191*c_0101_4, c_0101_1 + 233/191*c_0101_6^7 - 1867/191*c_0101_6^6 + 3451/191*c_0101_6^5 + 4383/191*c_0101_6^4 - 14059/191*c_0101_6^3 + 7540/191*c_0101_6^2 + 1067/191*c_0101_6 - 940/191, c_0101_3 + 236/191*c_0101_6^7 - 1823/191*c_0101_6^6 + 3029/191*c_0101_6^5 + 4928/191*c_0101_6^4 - 12512/191*c_0101_6^3 + 5541/191*c_0101_6^2 + 1266/191*c_0101_6 - 707/191, c_0101_4^2 - 118/191*c_0101_6^7 + 816/191*c_0101_6^6 - 846/191*c_0101_6^5 - 3228/191*c_0101_6^4 + 3773/191*c_0101_6^3 + 572/191*c_0101_6^2 - 633/191*c_0101_6 - 124/191, c_0101_6^8 - 8*c_0101_6^7 + 15*c_0101_6^6 + 17*c_0101_6^5 - 58*c_0101_6^4 + 39*c_0101_6^3 - 4*c_0101_6^2 - 4*c_0101_6 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB