Magma V2.19-8 Wed Aug 21 2013 01:10:27 on localhost [Seed = 1064904397] Type ? for help. Type -D to quit. Loading file "L14n53440__sl2_c4.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n53440 geometric_solution 12.31251682 oriented_manifold CS_known -0.0000000000000001 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 1 0132 0132 0132 3201 2 0 2 0 0 0 0 0 0 0 1 -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 -1 0 1 0 0 -1 1 -1 3 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.935124495720 0.710500896576 0 0 3 2 0132 2310 3120 3120 2 0 0 2 0 -1 1 0 0 0 0 0 1 1 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 -2 0 0 0 0 0 0 -1 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.322014588324 0.515128461575 1 0 5 4 3120 0132 0132 0132 2 0 0 2 0 0 0 0 0 0 0 0 2 0 0 -2 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 -1 0 0 1 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.805437101242 0.880691743786 4 6 1 0 0132 0132 3120 0132 2 0 0 2 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 -1 0 0 1 0 0 0 0 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.805437101242 0.880691743786 3 7 2 8 0132 0132 0132 0132 2 0 2 0 0 0 0 0 -1 0 0 1 -1 0 0 1 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 -1 2 0 0 -2 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.817327193192 1.107027538477 8 6 9 2 0132 0321 0132 0132 2 0 2 1 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 0 0 0 0 3 0 0 -3 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.192327193845 0.685319308785 10 3 7 5 0132 0132 0132 0321 2 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 -1 2 0 0 0 0 0 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 0.192327193845 0.685319308785 9 4 11 6 0213 0132 0132 0132 2 1 0 2 0 0 0 0 1 0 -1 0 0 2 0 -2 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 0 2 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 0.264649457457 0.529484868744 5 12 4 10 0132 0132 0132 0213 2 0 1 2 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 0 0 0 0 1 -1 1 -1 0 0 -3 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.264649457457 0.529484868744 7 11 10 5 0213 0213 0213 0132 2 0 1 2 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 0 0 0 0 2 -1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.841265831668 0.775766015244 6 9 12 8 0132 0213 1302 0213 2 1 0 2 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 -1 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 0.841265831668 0.775766015244 12 12 9 7 2310 0321 0213 0132 2 1 2 2 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 1 0 1 -2 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.253160728585 1.237247731189 10 8 11 11 2031 0132 3201 0321 2 2 2 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 1 0 -1 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 0.253160728585 1.237247731189 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_11']), 'c_1001_10' : negation(d['c_0011_11']), 'c_1001_12' : negation(d['c_0011_9']), 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : d['c_1001_0'], 'c_1001_7' : d['c_1001_7'], 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_1001_1']), 'c_1001_2' : negation(d['c_1001_1']), 'c_1001_9' : negation(d['c_0011_11']), 'c_1001_8' : d['c_1001_7'], 'c_1010_12' : d['c_1001_7'], 'c_1010_11' : d['c_1001_7'], 'c_1010_10' : d['c_1010_10'], 's_0_10' : negation(d['1']), 's_0_11' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : negation(d['1']), 'c_0101_11' : d['c_0011_9'], 'c_0101_10' : negation(d['c_0011_12']), 's_2_0' : negation(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' : negation(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' : negation(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_0011_11' : d['c_0011_11'], 'c_1100_8' : d['c_1010_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_1010_10'], 'c_1100_4' : d['c_1010_10'], 'c_1100_7' : d['c_1001_5'], 'c_1100_6' : d['c_1001_5'], 'c_1100_1' : negation(d['c_0101_2']), 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : d['c_1010_10'], 's_3_11' : d['1'], 'c_1100_11' : d['c_1001_5'], 'c_1100_10' : negation(d['c_0011_9']), 's_3_10' : d['1'], 'c_1010_7' : d['c_1001_0'], 'c_1010_6' : negation(d['c_1001_1']), 'c_1010_5' : negation(d['c_1001_1']), 'c_1010_4' : d['c_1001_7'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0011_0'], 'c_1010_0' : negation(d['c_1001_1']), 'c_1010_9' : d['c_1001_5'], 'c_1010_8' : negation(d['c_0011_9']), 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : negation(d['1']), 's_3_4' : d['1'], 's_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : negation(d['1']), 's_3_8' : d['1'], 'c_1100_12' : negation(d['c_0011_11']), 's_1_7' : d['1'], 's_1_6' : negation(d['1']), 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : negation(d['1']), 's_1_2' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_9'], 'c_0011_8' : negation(d['c_0011_12']), 'c_0011_5' : d['c_0011_12'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_10'], '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_10'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0011_9'], 'c_0110_10' : negation(d['c_0101_5']), 'c_0110_12' : negation(d['c_0011_11']), 'c_0101_12' : negation(d['c_0011_9']), 'c_0110_0' : negation(d['c_0011_0']), 'c_0101_7' : d['c_0011_9'], 'c_0101_6' : negation(d['c_0101_5']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_2'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_10'], 'c_0101_8' : d['c_0101_2'], 'c_0011_10' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : negation(d['1']), 'c_0110_9' : d['c_0101_5'], 'c_0110_8' : d['c_0101_5'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_1010_10'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_2'], 'c_0110_7' : negation(d['c_0101_5']), '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_11, c_0011_12, c_0011_9, c_0101_0, c_0101_2, c_0101_5, c_1001_0, c_1001_1, c_1001_5, c_1001_7, c_1010_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 1124/75*c_1010_10^5 - 112/5*c_1010_10^4 - 829/25*c_1010_10^3 + 428/25*c_1010_10^2 - 196/25*c_1010_10 - 2032/75, c_0011_0 - 1, c_0011_10 - c_1010_10, c_0011_11 - 2/3*c_1010_10^5 - c_1010_10^4 - c_1010_10^3 + c_1010_10^2 - 7/3, c_0011_12 - 1, c_0011_9 + 1/3*c_1010_10^5 - 2*c_1010_10^2 - 1/3, c_0101_0 - 1, c_0101_2 + 2/3*c_1010_10^5 + c_1010_10^4 + 2*c_1010_10^3 + c_1010_10 + 4/3, c_0101_5 + 2/3*c_1010_10^5 + c_1010_10^4 + 2*c_1010_10^3 + c_1010_10 + 1/3, c_1001_0 + 2/3*c_1010_10^5 + c_1010_10^4 + 2*c_1010_10^3 + c_1010_10 + 4/3, c_1001_1 - 2/3*c_1010_10^5 - c_1010_10^4 - 2*c_1010_10^3 - c_1010_10 - 1/3, c_1001_5 - 1, c_1001_7 - 2/3*c_1010_10^5 - c_1010_10^4 - 2*c_1010_10^3 + c_1010_10^2 - 1/3, c_1010_10^6 + 2*c_1010_10^5 + 3*c_1010_10^4 + 2*c_1010_10 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.240 seconds, Total memory usage: 32.09MB