Magma V2.19-8 Wed Aug 21 2013 01:01:21 on localhost [Seed = 1074158479] Type ? for help. Type -D to quit. Loading file "L14n1034__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n1034 geometric_solution 11.60318623 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 0 1 1 1 0 -1 0 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 1 -1 -1 0 1 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 1.147972941731 1.749733723555 0 5 7 6 0132 0132 0132 0132 0 1 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 0 0 0 -1 1 0 1 0 -1 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 0.046282171582 0.631998008460 8 0 10 9 0132 0132 0132 0132 0 1 1 1 0 1 0 -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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.093392239386 0.410626131857 6 11 5 0 0132 0132 0132 0132 0 1 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 0 0 0 0 1 -1 0 0 1 -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 0.439741371653 0.567133181513 9 11 0 7 0213 0321 0132 0321 0 1 1 1 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 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 0.216152274900 0.629800370390 8 1 12 3 1023 0132 0132 0132 0 1 1 1 0 0 0 0 1 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 0 1 0 -1 0 0 1 -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 0.253800541397 1.359195637317 3 10 1 9 0132 0213 0132 0213 0 1 1 1 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.606427105228 0.967887913814 8 4 12 1 3120 0321 0321 0132 0 1 1 1 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 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 0.384848086946 0.988651719934 2 5 11 7 0132 1023 3201 3120 1 1 1 1 0 -1 1 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 -1 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 0.630885838304 1.131009490027 4 12 2 6 0213 0132 0132 0213 0 1 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.828513621269 1.398813925822 12 11 6 2 0321 0213 0213 0132 0 1 1 1 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 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 -0.329249869197 1.635493799154 8 3 10 4 2310 0132 0213 0321 0 1 1 1 0 0 0 0 1 0 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 -1 0 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 0.427361302827 0.944768507226 10 9 7 5 0321 0132 0321 0132 0 1 1 1 0 1 -1 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 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 0.445879857507 0.485184409871 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_0'], 'c_1001_10' : d['c_1001_0'], 'c_1001_12' : d['c_1001_12'], 'c_1001_5' : d['c_1001_0'], 'c_1001_4' : d['c_1001_2'], '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' : d['c_1001_1'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : negation(d['c_0011_10']), 'c_1010_12' : d['c_1001_0'], 'c_1010_11' : d['c_1001_1'], 'c_1010_10' : d['c_1001_2'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : negation(d['1']), 's_2_8' : d['1'], 's_2_9' : negation(d['1']), 'c_0101_11' : d['c_0011_10'], 'c_0101_10' : d['c_0011_11'], 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : negation(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' : 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_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_1001_7'], 'c_1100_4' : d['c_1001_7'], 'c_1100_7' : d['c_1001_12'], 'c_1100_6' : d['c_1001_12'], 'c_1100_1' : d['c_1001_12'], 'c_1100_0' : d['c_1001_7'], 'c_1100_3' : d['c_1001_7'], 'c_1100_2' : d['c_1010_6'], 's_3_11' : d['1'], 'c_1100_9' : d['c_1010_6'], 'c_1100_11' : d['c_1001_2'], 'c_1100_10' : d['c_1010_6'], 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_1'], 'c_1010_6' : d['c_1010_6'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_1001_1'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_0'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_12'], 'c_1010_8' : negation(d['c_0011_7']), 'c_1100_8' : negation(d['c_0011_11']), 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : negation(d['1']), 's_3_7' : negation(d['1']), 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : d['c_1001_7'], 's_1_7' : negation(d['1']), 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : negation(d['1']), 's_1_0' : negation(d['1']), 's_1_9' : negation(d['1']), 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_12']), 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : d['c_0011_11'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_11']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0011_4']), 'c_0110_10' : negation(d['c_0011_12']), 'c_0110_12' : negation(d['c_0011_10']), 'c_0101_12' : negation(d['c_0011_11']), 'c_0101_7' : d['c_0011_11'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0011_10']), 'c_0101_4' : negation(d['c_0011_12']), 'c_0101_3' : negation(d['c_0011_7']), 'c_0101_2' : negation(d['c_0011_12']), 'c_0101_1' : negation(d['c_0011_12']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_4'], 'c_0101_8' : d['c_0011_4'], 's_1_12' : negation(d['1']), 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_7'], 'c_0110_8' : negation(d['c_0011_12']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_12']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_4'], 'c_0110_5' : negation(d['c_0011_7']), 'c_0110_4' : negation(d['c_0011_7']), 'c_0110_7' : negation(d['c_0011_12']), 'c_0110_6' : negation(d['c_0011_7'])})} 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_4, c_0011_7, c_0101_0, c_1001_0, c_1001_1, c_1001_12, c_1001_2, c_1001_7, c_1010_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 598439/425204*c_1010_6^5 - 1433/212602*c_1010_6^4 + 3978315/425204*c_1010_6^3 - 11893367/850408*c_1010_6^2 - 396846/106301*c_1010_6 - 336059/212602, c_0011_0 - 1, c_0011_10 - 446/1105*c_1010_6^5 + 161/1105*c_1010_6^4 - 3584/1105*c_1010_6^3 + 4837/1105*c_1010_6^2 - 5936/1105*c_1010_6 + 899/1105, c_0011_11 - 103/221*c_1010_6^5 + 2/221*c_1010_6^4 - 794/221*c_1010_6^3 + 848/221*c_1010_6^2 - 804/221*c_1010_6 - 332/221, c_0011_12 + 171/1105*c_1010_6^5 + 134/1105*c_1010_6^4 + 1389/1105*c_1010_6^3 - 202/1105*c_1010_6^2 + 56/1105*c_1010_6 + 2066/1105, c_0011_4 + 644/1105*c_1010_6^5 - 64/1105*c_1010_6^4 + 5076/1105*c_1010_6^3 - 5478/1105*c_1010_6^2 + 6059/1105*c_1010_6 + 1784/1105, c_0011_7 + 644/1105*c_1010_6^5 - 64/1105*c_1010_6^4 + 5076/1105*c_1010_6^3 - 5478/1105*c_1010_6^2 + 4954/1105*c_1010_6 + 1784/1105, c_0101_0 + 129/1105*c_1010_6^5 - 54/1105*c_1010_6^4 + 1106/1105*c_1010_6^3 - 1238/1105*c_1010_6^2 + 2039/1105*c_1010_6 + 124/1105, c_1001_0 - 1, c_1001_1 + 118/221*c_1010_6^5 + 2/221*c_1010_6^4 + 974/221*c_1010_6^3 - 920/221*c_1010_6^2 + 964/221*c_1010_6 + 110/221, c_1001_12 + 45/221*c_1010_6^5 + 12/221*c_1010_6^4 + 319/221*c_1010_6^3 - 216/221*c_1010_6^2 + 38/221*c_1010_6 + 218/221, c_1001_2 + 12/221*c_1010_6^5 - 41/221*c_1010_6^4 + 144/221*c_1010_6^3 - 367/221*c_1010_6^2 + 570/221*c_1010_6 - 45/221, c_1001_7 + 2/221*c_1010_6^5 + 30/221*c_1010_6^4 + 24/221*c_1010_6^3 + 344/221*c_1010_6^2 - 126/221*c_1010_6 + 324/221, c_1010_6^6 + 8*c_1010_6^4 - 8*c_1010_6^3 + 9*c_1010_6^2 + 2*c_1010_6 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.120 Total time: 0.330 seconds, Total memory usage: 32.09MB