Magma V2.19-8 Tue Aug 20 2013 23:44:05 on localhost [Seed = 1966280857] Type ? for help. Type -D to quit. Loading file "L14n18137__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n18137 geometric_solution 10.86799353 oriented_manifold CS_known -0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 2 3 2 0132 0132 0132 1230 1 1 0 1 0 0 0 0 -1 0 1 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 1 -4 0 4 0 1 2 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.314759770569 0.912526523426 0 4 4 5 0132 0132 1302 0132 1 1 1 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 4 0 -4 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 0.662194593694 0.979338599890 0 0 4 6 3012 0132 0132 0132 1 1 1 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 1 3 -4 -1 0 0 1 0 0 0 0 3 -2 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.526193575889 0.700725926225 5 5 7 0 0213 0321 0132 0132 1 1 1 1 0 0 0 0 0 0 1 -1 1 -1 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 4 -4 3 -3 0 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.314759770569 0.912526523426 1 1 8 2 2031 0132 0132 0132 1 1 0 1 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 0 3 -3 0 0 0 0 -1 0 0 1 4 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.526193575889 0.700725926225 3 9 1 3 0213 0132 0132 0321 1 1 1 1 0 0 0 0 -1 0 0 1 0 -1 0 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 -3 0 0 3 0 -3 0 3 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.526193575889 0.700725926225 7 10 2 9 2031 0132 0132 1230 1 1 1 1 0 0 1 -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 0 4 -4 0 0 -1 1 -3 0 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.886740997258 1.134561195810 8 8 6 3 2310 1023 1302 0132 1 1 1 1 0 0 0 0 1 0 0 -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 0 0 4 0 0 -4 0 0 0 0 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.579582806854 1.127437535830 7 9 7 4 1023 0321 3201 0132 1 1 1 1 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 0 0 3 -3 0 0 0 0 0 -4 0 4 0 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.639345737169 0.701565244111 6 5 10 8 3012 0132 0132 0321 1 1 1 1 0 0 0 0 1 0 0 -1 0 -1 0 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 4 0 0 -4 -1 -3 0 4 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.886740997258 1.134561195810 10 6 10 9 2310 0132 3201 0132 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 0 0 0 0 0 0 0 0 0 0.437100940684 0.712180638801 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : negation(d['c_0101_10']), 'c_1001_5' : d['c_1001_4'], 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : negation(d['c_0011_5']), 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0101_4'], 'c_1001_2' : d['c_0101_2'], 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : negation(d['c_0011_10']), 'c_1010_10' : d['c_1001_0'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : d['1'], 's_2_1' : negation(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_2_7' : d['1'], 's_2_10' : 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' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : negation(d['c_0011_10']), 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_0101_4'], 'c_1100_4' : negation(d['c_0011_7']), 'c_1100_7' : d['c_0101_6'], 'c_1100_6' : negation(d['c_0011_7']), 'c_1100_1' : d['c_0101_4'], 'c_1100_0' : d['c_0101_6'], 'c_1100_3' : d['c_0101_6'], 'c_1100_2' : negation(d['c_0011_7']), 'c_1100_10' : negation(d['c_0011_10']), 'c_1010_7' : d['c_0101_4'], 'c_1010_6' : negation(d['c_0101_10']), 'c_1010_5' : d['c_1001_0'], 'c_1010_4' : d['c_0101_2'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_4'], 'c_1010_0' : d['c_0101_2'], 'c_1010_9' : d['c_1001_4'], 'c_1010_8' : d['c_1001_4'], 'c_1100_8' : negation(d['c_0011_7']), 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : negation(d['1']), 's_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], '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_5']), 'c_0011_8' : d['c_0011_7'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : negation(d['c_0011_10']), '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_10' : negation(d['c_0101_10']), 'c_0101_7' : d['c_0011_10'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0011_3'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0011_5'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0011_3'], 'c_0101_9' : negation(d['c_0101_10']), 'c_0101_8' : negation(d['c_0011_5']), 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_7']), 'c_0110_8' : d['c_0101_4'], 'c_0110_1' : d['c_0011_3'], 'c_0110_0' : negation(d['c_0011_0']), 'c_0110_3' : d['c_0011_3'], 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : negation(d['c_0011_3']), 'c_0110_4' : d['c_0101_2'], 'c_0110_7' : d['c_0011_5'], 'c_0110_6' : negation(d['c_0011_5'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_5, c_0011_7, c_0101_10, c_0101_2, c_0101_4, c_0101_6, c_1001_0, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 164369/617812*c_1001_4^7 + 96627/308906*c_1001_4^6 - 384406/154453*c_1001_4^5 - 1577633/617812*c_1001_4^4 + 4669265/617812*c_1001_4^3 + 4209245/617812*c_1001_4^2 - 4758547/617812*c_1001_4 - 1141197/154453, c_0011_0 - 1, c_0011_10 - 7/4*c_1001_4^7 - 17/4*c_1001_4^6 + 25/2*c_1001_4^5 + 131/4*c_1001_4^4 - 26*c_1001_4^3 - 153/2*c_1001_4^2 + 39/2*c_1001_4 + 241/4, c_0011_3 - 1, c_0011_5 + 1/4*c_1001_4^7 + 1/2*c_1001_4^6 - 2*c_1001_4^5 - 13/4*c_1001_4^4 + 21/4*c_1001_4^3 + 21/4*c_1001_4^2 - 23/4*c_1001_4 - 1, c_0011_7 + 1/4*c_1001_4^7 + 1/2*c_1001_4^6 - 2*c_1001_4^5 - 13/4*c_1001_4^4 + 21/4*c_1001_4^3 + 21/4*c_1001_4^2 - 23/4*c_1001_4 - 1, c_0101_10 - 5/4*c_1001_4^7 - 5*c_1001_4^6 + 7*c_1001_4^5 + 161/4*c_1001_4^4 - 23/4*c_1001_4^3 - 407/4*c_1001_4^2 - 23/4*c_1001_4 + 181/2, c_0101_2 - 1/4*c_1001_4^6 - 1/2*c_1001_4^5 + 2*c_1001_4^4 + 13/4*c_1001_4^3 - 21/4*c_1001_4^2 - 21/4*c_1001_4 + 23/4, c_0101_4 - 1/4*c_1001_4^6 - 1/2*c_1001_4^5 + 2*c_1001_4^4 + 13/4*c_1001_4^3 - 21/4*c_1001_4^2 - 17/4*c_1001_4 + 23/4, c_0101_6 - c_1001_4, c_1001_0 - 1/4*c_1001_4^6 - 1/2*c_1001_4^5 + 2*c_1001_4^4 + 13/4*c_1001_4^3 - 21/4*c_1001_4^2 - 17/4*c_1001_4 + 23/4, c_1001_4^8 + c_1001_4^7 - 13*c_1001_4^6 - 11*c_1001_4^5 + 62*c_1001_4^4 + 39*c_1001_4^3 - 131*c_1001_4^2 - 44*c_1001_4 + 109 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.240 seconds, Total memory usage: 32.09MB