Magma V2.19-8 Tue Aug 20 2013 16:16:41 on localhost [Seed = 1612840106] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0973 geometric_solution 4.86974452 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 0 1 0 2 2031 0132 1302 0132 0 0 0 0 0 0 1 -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 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 -0.435152478857 0.519045644038 2 0 4 3 3201 0132 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 -1 1 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 1.395488261139 1.174397161152 3 5 0 1 1023 0132 0132 2310 0 0 0 0 0 -1 1 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 -1 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 1.395488261139 1.174397161152 4 2 1 5 1302 1023 0132 0213 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.948656573051 0.296190419792 5 3 6 1 2103 2031 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.580505662242 0.353032679028 6 2 4 3 2310 0132 2103 0213 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.580505662242 0.353032679028 6 6 5 4 1230 3012 3201 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 0.616190948093 0.222855224246 ==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' : negation(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' : negation(d['1']), 's_0_1' : d['1'], 'c_1100_6' : d['c_0011_2'], 'c_1100_5' : negation(d['c_0101_1']), 'c_1100_4' : d['c_0011_2'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_2'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_0011_2'], 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0011_6'], 'c_0101_4' : d['c_0011_6'], 'c_0101_3' : negation(d['c_0011_4']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_0']), 'c_0011_5' : negation(d['c_0011_2']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_6'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_2'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : d['c_0011_4'], 'c_1001_4' : negation(d['c_0101_6']), 'c_1001_6' : negation(d['c_0011_6']), 'c_1001_1' : d['c_0011_2'], 'c_1001_0' : d['c_0101_2'], 'c_1001_3' : d['c_0101_2'], 'c_1001_2' : d['c_0011_2'], 'c_0110_1' : negation(d['c_0011_4']), 'c_0110_0' : d['c_0101_2'], 'c_0110_3' : d['c_0101_6'], 'c_0110_2' : negation(d['c_0101_1']), 'c_0110_5' : negation(d['c_0101_6']), 'c_0110_4' : d['c_0101_1'], 'c_0110_6' : d['c_0011_6'], 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : d['c_0011_2'], 'c_1010_4' : d['c_0011_2'], 'c_1010_3' : negation(d['c_0101_1']), 'c_1010_2' : d['c_0011_4'], 'c_1010_1' : d['c_0101_2'], 'c_1010_0' : d['c_0011_2']})} 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_2, c_0011_4, c_0011_6, c_0101_1, c_0101_2, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 477219/10171*c_0101_6^5 + 428476/10171*c_0101_6^4 - 2235251/1453*c_0101_6^3 + 2146145/10171*c_0101_6^2 - 2634374/10171*c_0101_6 - 1723473/10171, c_0011_0 - 1, c_0011_2 - 1916/10171*c_0101_6^5 + 2067/10171*c_0101_6^4 - 9002/1453*c_0101_6^3 + 20963/10171*c_0101_6^2 - 10519/10171*c_0101_6 + 4248/10171, c_0011_4 + 251/10171*c_0101_6^5 - 722/10171*c_0101_6^4 + 1290/1453*c_0101_6^3 - 18507/10171*c_0101_6^2 + 13614/10171*c_0101_6 + 760/10171, c_0011_6 - 1156/10171*c_0101_6^5 + 1056/10171*c_0101_6^4 - 5316/1453*c_0101_6^3 + 5853/10171*c_0101_6^2 + 5417/10171*c_0101_6 + 1565/10171, c_0101_1 + 251/10171*c_0101_6^5 - 722/10171*c_0101_6^4 + 1290/1453*c_0101_6^3 - 18507/10171*c_0101_6^2 + 13614/10171*c_0101_6 + 760/10171, c_0101_2 - 2683/10171*c_0101_6^5 + 1923/10171*c_0101_6^4 - 12504/1453*c_0101_6^3 - 4338/10171*c_0101_6^2 - 11720/10171*c_0101_6 - 8448/10171, c_0101_6^6 - c_0101_6^5 + 33*c_0101_6^4 - 8*c_0101_6^3 + 10*c_0101_6^2 + c_0101_6 + 1 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0011_4, c_0011_6, c_0101_1, c_0101_2, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t - 9/2*c_0101_6^6 + 17/2*c_0101_6^5 + 18*c_0101_6^4 - 32*c_0101_6^3 - 18*c_0101_6^2 + 26*c_0101_6 + 9, c_0011_0 - 1, c_0011_2 - c_0101_6^2 + 1, c_0011_4 + c_0101_6^5 - c_0101_6^4 - 4*c_0101_6^3 + 3*c_0101_6^2 + 3*c_0101_6 - 1, c_0011_6 + 1, c_0101_1 + c_0101_6^5 - c_0101_6^4 - 4*c_0101_6^3 + 3*c_0101_6^2 + 3*c_0101_6 - 1, c_0101_2 + c_0101_6, c_0101_6^7 - 2*c_0101_6^6 - 4*c_0101_6^5 + 8*c_0101_6^4 + 4*c_0101_6^3 - 8*c_0101_6^2 - 2*c_0101_6 + 2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB