Magma V2.19-8 Tue Aug 20 2013 16:17:02 on localhost [Seed = 3414841113] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1278 geometric_solution 5.17134219 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 4 0132 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 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 1.003836408087 0.955278125983 0 5 5 4 0132 0132 1023 0213 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.337244488421 0.201754186553 2 0 2 4 2310 0132 3201 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.545654307820 0.896373940368 4 3 3 0 0213 1230 3012 0132 0 0 0 0 0 -1 1 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 0 1 -1 0 0 0 0 0 -1 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.145907406738 0.672018731704 3 2 0 1 0213 1302 0132 0213 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 -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 0.477234926491 0.497477512997 6 1 1 6 0132 0132 1023 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 1.277736218136 0.833079479582 5 6 6 5 0132 1230 3012 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 1.716427642542 0.249894413748 ==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' : negation(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' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : negation(d['c_0011_0']), 'c_1100_5' : d['c_0011_0'], 'c_1100_4' : d['c_0011_3'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0011_3'], 'c_1100_3' : d['c_0011_3'], 'c_1100_2' : d['c_0011_0'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0011_3'], 'c_0101_3' : d['c_0011_4'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_3'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_0']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : d['c_0011_3'], 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_6' : d['c_0011_0'], 'c_1001_1' : d['c_0101_5'], 'c_1001_0' : d['c_0011_4'], 'c_1001_3' : negation(d['c_0011_3']), 'c_1001_2' : negation(d['c_0101_2']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_3'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_2']), 'c_0110_5' : d['c_0101_6'], 'c_0110_4' : negation(d['c_0101_0']), 'c_0110_6' : d['c_0101_5'], 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : negation(d['c_0011_0']), 'c_1010_3' : d['c_0011_4'], 'c_1010_2' : d['c_0011_4'], 'c_1010_1' : d['c_0011_3'], 'c_1010_0' : negation(d['c_0101_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_3, c_0011_4, c_0101_0, c_0101_2, c_0101_5, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t - 43/5*c_0101_6^3 + 57/5*c_0101_6^2 + 14*c_0101_6 - 116/5, c_0011_0 - 1, c_0011_3 - c_0101_6^3 + 2*c_0101_6, c_0011_4 + c_0101_6^3 - c_0101_6, c_0101_0 - c_0101_6^3 + c_0101_6^2 + 2*c_0101_6, c_0101_2 - c_0101_6^2 + 1, c_0101_5 - c_0101_6^2 + 1, c_0101_6^4 - c_0101_6^3 - 2*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_3, c_0011_4, c_0101_0, c_0101_2, c_0101_5, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 823/165*c_0101_6^11 - 90/11*c_0101_6^10 - 2438/55*c_0101_6^9 + 10822/165*c_0101_6^8 + 23656/165*c_0101_6^7 - 29903/165*c_0101_6^6 - 33307/165*c_0101_6^5 + 6331/33*c_0101_6^4 + 19889/165*c_0101_6^3 - 6053/165*c_0101_6^2 - 5816/165*c_0101_6 - 4264/165, c_0011_0 - 1, c_0011_3 - c_0101_6^3 + 2*c_0101_6, c_0011_4 + 4/11*c_0101_6^11 - 6/11*c_0101_6^10 - 35/11*c_0101_6^9 + 48/11*c_0101_6^8 + 109/11*c_0101_6^7 - 133/11*c_0101_6^6 - 134/11*c_0101_6^5 + 138/11*c_0101_6^4 + 42/11*c_0101_6^3 - 27/11*c_0101_6^2 + 5/11*c_0101_6 - 8/11, c_0101_0 - c_0101_6^4 + 3*c_0101_6^2 - 1, c_0101_2 - 2/11*c_0101_6^11 + 3/11*c_0101_6^10 + 12/11*c_0101_6^9 - 13/11*c_0101_6^8 - 27/11*c_0101_6^7 + 17/11*c_0101_6^6 + 23/11*c_0101_6^5 - 14/11*c_0101_6^4 + 1/11*c_0101_6^3 + 19/11*c_0101_6^2 - 8/11*c_0101_6 - 7/11, c_0101_5 - c_0101_6^2 + 1, c_0101_6^12 - 2*c_0101_6^11 - 8*c_0101_6^10 + 15*c_0101_6^9 + 24*c_0101_6^8 - 40*c_0101_6^7 - 32*c_0101_6^6 + 43*c_0101_6^5 + 18*c_0101_6^4 - 12*c_0101_6^3 - 5*c_0101_6^2 - 4*c_0101_6 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB