Magma V2.19-8 Tue Aug 20 2013 16:14:08 on localhost [Seed = 1427425650] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s096 geometric_solution 3.93444683 oriented_manifold CS_known 0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 6 1 1 2 2 0132 2310 0132 2310 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 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 2.361472487435 1.940045545832 0 1 1 0 0132 3201 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.538530240147 0.192845566807 0 3 4 0 3201 0132 0132 0132 0 0 0 0 0 0 0 0 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 1 0 -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 0.217101451431 0.353002620481 5 2 4 4 0132 0132 3201 2031 0 0 0 0 0 0 -1 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.041993709107 0.923302526412 3 3 5 2 2310 1302 2310 0132 0 0 0 0 0 0 0 0 1 0 0 -1 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 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.041993709107 0.923302526412 3 4 5 5 0132 3201 1230 3012 0 0 0 0 0 1 -1 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 -1 1 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 1.950841488291 1.080832796631 ==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' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : negation(d['1']), 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(d['1']), 's_1_3' : negation(d['1']), 's_1_2' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : 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_5' : d['c_0101_1'], 'c_1100_4' : d['c_0011_2'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0011_2'], 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : d['c_0011_2'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : negation(d['c_0101_1']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_2'], 'c_0011_4' : d['c_0011_4'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_2']), 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0101_1']), 'c_1001_4' : d['c_0101_5'], 'c_1001_1' : negation(d['c_0101_1']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_1']), 'c_1001_2' : d['c_0011_4'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_5'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0101_1']), 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : d['c_0011_4'], 'c_1010_3' : d['c_0011_4'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : negation(d['c_0101_0'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0011_4, c_0101_0, c_0101_1, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t + 10476951/10864*c_0101_5^8 - 21294965/10864*c_0101_5^7 - 16886329/10864*c_0101_5^6 + 89219413/10864*c_0101_5^5 + 2987280/679*c_0101_5^4 - 163756375/10864*c_0101_5^3 - 3591225/2716*c_0101_5^2 + 96977889/10864*c_0101_5 - 23207113/10864, c_0011_0 - 1, c_0011_2 + 23190/679*c_0101_5^8 - 47300/679*c_0101_5^7 - 36875/679*c_0101_5^6 + 28218/97*c_0101_5^5 + 104206/679*c_0101_5^4 - 51762/97*c_0101_5^3 - 28292/679*c_0101_5^2 + 214603/679*c_0101_5 - 7563/97, c_0011_4 - 771/679*c_0101_5^8 + 1259/679*c_0101_5^7 + 1569/679*c_0101_5^6 - 824/97*c_0101_5^5 - 5218/679*c_0101_5^4 + 1259/97*c_0101_5^3 + 2725/679*c_0101_5^2 - 4448/679*c_0101_5 + 113/97, c_0101_0 - 1434/679*c_0101_5^8 + 445/97*c_0101_5^7 + 1895/679*c_0101_5^6 - 12508/679*c_0101_5^5 - 4960/679*c_0101_5^4 + 23454/679*c_0101_5^3 - 1262/679*c_0101_5^2 - 14142/679*c_0101_5 + 4428/679, c_0101_1 + 25299/679*c_0101_5^8 - 51558/679*c_0101_5^7 - 40549/679*c_0101_5^6 + 215793/679*c_0101_5^5 + 114194/679*c_0101_5^4 - 396408/679*c_0101_5^3 - 32314/679*c_0101_5^2 + 234903/679*c_0101_5 - 57769/679, c_0101_5^9 - 7/3*c_0101_5^8 - c_0101_5^7 + 9*c_0101_5^6 + 2*c_0101_5^5 - 17*c_0101_5^4 + 10/3*c_0101_5^3 + 29/3*c_0101_5^2 - 5*c_0101_5 + 2/3 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.220 seconds, Total memory usage: 32.09MB