Magma V2.19-8 Tue Aug 20 2013 18:02:08 on localhost [Seed = 2067451444] Type ? for help. Type -D to quit. Loading file "11_37__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation 11_37 geometric_solution 11.95604922 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 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 1 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 0 0 0 0 0.746339297395 1.456113118969 0 5 3 6 0132 0132 3120 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 1 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 0 0 0 0 -0.290307167640 0.679409888499 7 0 9 8 0132 0132 0132 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 -1 0 1 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 0.494256071096 0.814798211358 7 9 1 0 2031 0132 3120 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 0.602669756329 0.781143661844 10 5 0 10 0132 2310 0132 2103 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 1 -1 1 0 -1 0 7 -7 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.805204721454 1.263836915037 7 1 8 4 1023 0132 1230 3201 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 -1 0 1 -7 0 0 7 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.143844398779 0.596225609507 8 9 1 11 1230 1230 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 0 1 -1 -1 0 1 0 -8 0 0 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.266101931734 0.554691847142 2 5 3 11 0132 1023 1302 1023 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 7 0 -7 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 0.932078912960 1.064924405427 12 6 2 5 0132 3012 0132 3012 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 -1 1 0 0 0 0 -1 1 0 0 -7 8 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.525596838275 0.802076577132 12 3 6 2 3012 0132 3012 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 0.220189688652 0.587429221688 4 11 12 4 0132 1023 3012 2103 0 0 0 0 0 -1 1 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 7 -7 0 -1 0 1 0 -1 0 0 1 -7 0 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.805204721454 1.263836915037 10 12 6 7 1023 0213 0132 1023 0 0 0 0 0 0 0 0 1 0 0 -1 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 -1 1 0 -7 0 0 7 0 0 0 0 0 8 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.451494826664 1.285390616050 8 10 11 9 0132 1230 0213 1230 0 0 0 0 0 0 0 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 -1 1 0 0 0 0 0 7 -7 0 0 1 7 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.510261206928 1.021812393659 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_10'], 'c_1001_10' : negation(d['c_0011_12']), 'c_1001_12' : d['c_0101_10'], 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : negation(d['c_1001_1']), 'c_1001_7' : d['c_0101_0'], 'c_1001_6' : d['c_1001_5'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : negation(d['c_0011_6']), 'c_1001_3' : negation(d['c_1001_1']), 'c_1001_2' : negation(d['c_1001_1']), 'c_1001_9' : negation(d['c_0011_6']), 'c_1001_8' : negation(d['c_0011_6']), 'c_1010_12' : d['c_0101_10'], 'c_1010_11' : d['c_0101_2'], 'c_1010_10' : d['c_0110_11'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0011_12']), 'c_0101_10' : d['c_0101_10'], '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_2_7' : d['1'], 's_2_12' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : 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_9' : negation(d['c_1001_5']), 'c_1100_8' : negation(d['c_1001_5']), 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0011_10'], 'c_1100_4' : negation(d['c_0101_1']), 'c_1100_7' : d['c_0101_3'], 'c_1100_6' : negation(d['c_0101_3']), 'c_1100_1' : negation(d['c_0101_3']), 'c_1100_0' : negation(d['c_0101_1']), 'c_1100_3' : negation(d['c_0101_1']), 'c_1100_2' : negation(d['c_1001_5']), 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0101_3']), 'c_1100_10' : negation(d['c_0101_10']), 's_0_11' : d['1'], 'c_1010_7' : d['c_0110_11'], 'c_1010_6' : d['c_0101_10'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : negation(d['c_0110_11']), 'c_1010_3' : negation(d['c_0011_6']), 'c_1010_2' : negation(d['c_0011_6']), 'c_1010_1' : d['c_1001_5'], 'c_1010_0' : negation(d['c_1001_1']), 'c_1010_9' : negation(d['c_1001_1']), 'c_1010_8' : negation(d['c_0101_0']), '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_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : d['c_0101_2'], 's_1_7' : 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_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_3']), 'c_0011_8' : negation(d['c_0011_12']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_0'], '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_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0110_11'], 'c_0110_10' : d['c_0101_1'], 'c_0110_12' : negation(d['c_0011_3']), 'c_0101_12' : d['c_0011_10'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : negation(d['c_0011_3']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_10'], 'c_0101_8' : negation(d['c_0011_3']), 'c_0011_10' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_2'], 'c_0110_8' : d['c_0011_10'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_10'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_3']), 'c_0110_5' : d['c_0110_11'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_2'], 'c_0110_6' : negation(d['c_0011_12'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_12, c_0011_3, c_0011_6, c_0101_0, c_0101_1, c_0101_10, c_0101_2, c_0101_3, c_0110_11, c_1001_1, c_1001_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t - 2965639/67184*c_1001_1^3 + 84655/323*c_1001_1^2 - 2835463/5168*c_1001_1 + 21427389/67184, c_0011_0 - 1, c_0011_10 + 3/2*c_1001_1^3 - 8*c_1001_1^2 + 27/2*c_1001_1 - 11/2, c_0011_12 - c_1001_1^3 + 4*c_1001_1^2 - 6*c_1001_1 + 2, c_0011_3 - c_1001_1 + 1, c_0011_6 - c_1001_1^3 + 5*c_1001_1^2 - 9*c_1001_1 + 4, c_0101_0 - c_1001_1^3 + 6*c_1001_1^2 - 12*c_1001_1 + 5, c_0101_1 - c_1001_1^3 + 6*c_1001_1^2 - 11*c_1001_1 + 4, c_0101_10 + c_1001_1, c_0101_2 - 3/2*c_1001_1^3 + 7*c_1001_1^2 - 23/2*c_1001_1 + 7/2, c_0101_3 - c_1001_1^3 + 5*c_1001_1^2 - 7*c_1001_1 + 2, c_0110_11 - 3/2*c_1001_1^3 + 9*c_1001_1^2 - 35/2*c_1001_1 + 15/2, c_1001_1^4 - 6*c_1001_1^3 + 13*c_1001_1^2 - 9*c_1001_1 + 2, c_1001_5 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 3.360 Total time: 3.569 seconds, Total memory usage: 86.69MB