Magma V2.19-8 Tue Aug 20 2013 23:40:52 on localhost [Seed = 71459054] Type ? for help. Type -D to quit. Loading file "L12n238__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n238 geometric_solution 9.19166808 oriented_manifold CS_known -0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 10 1 2 3 4 0132 0132 0132 0132 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 0 0 0 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 0.741014342685 0.347631060370 0 5 6 4 0132 0132 0132 3201 0 0 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 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 0.971387768326 0.673467969825 7 0 3 5 0132 0132 2103 1230 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 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 0 0 0 1.000000000000 1.000000000000 2 5 8 0 2103 1230 0132 0132 1 0 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 0 0 0 0 0 -1 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 0 0 0 0 1.000000000000 1.000000000000 6 1 0 5 0132 2310 0132 1023 1 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 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 0.971387768326 0.673467969825 2 1 3 4 3012 0132 3012 1023 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 0 0 0 0 0 0 0 0 0 0 0 0.893925257356 0.518891354033 4 9 9 1 0132 0132 1023 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.585913185025 0.554671689719 2 8 8 9 0132 1230 2310 0213 0 0 0 1 0 0 0 0 1 0 -1 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 1 -1 0 -1 0 1 0 0 -1 0 1 -1 -5 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.378162956313 0.849879467583 9 7 7 3 0213 3201 3012 0132 1 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 0 -6 5 1 0 0 -1 1 -1 1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.378162956313 0.849879467583 8 6 6 7 0213 0132 1023 0213 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 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 0.738490190650 0.820962395271 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_5' : negation(d['c_0011_3']), 'c_1001_4' : d['c_0011_3'], 'c_1001_7' : negation(d['c_1001_3']), 'c_1001_6' : d['c_0011_8'], 'c_1001_1' : d['c_0101_6'], 'c_1001_0' : d['c_0101_5'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_0011_3'], 'c_1001_9' : d['c_0101_6'], 'c_1001_8' : negation(d['c_0011_0']), 's_2_8' : d['1'], 's_2_9' : d['1'], 's_2_0' : negation(d['1']), 's_2_1' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : d['1'], 's_0_8' : negation(d['1']), 's_0_9' : negation(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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : d['c_0011_4'], 'c_1100_8' : d['c_1001_3'], 'c_1100_5' : negation(d['c_1001_3']), 'c_1100_4' : d['c_1001_3'], 'c_1100_7' : d['c_0011_8'], 'c_1100_6' : negation(d['c_0011_4']), 'c_1100_1' : negation(d['c_0011_4']), 'c_1100_0' : d['c_1001_3'], 'c_1100_3' : d['c_1001_3'], 'c_1100_2' : negation(d['c_0101_0']), 'c_1010_7' : d['c_0011_4'], 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : d['c_0101_6'], 'c_1010_4' : negation(d['c_0101_0']), 'c_1010_3' : d['c_0101_5'], 'c_1010_2' : d['c_0101_5'], 'c_1010_1' : negation(d['c_0011_3']), 'c_1010_0' : d['c_0011_3'], 'c_1010_9' : d['c_0011_8'], 'c_1010_8' : d['c_1001_3'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(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' : negation(d['1']), 's_3_9' : d['1'], 's_3_8' : negation(d['1']), 's_1_7' : d['1'], 's_1_6' : negation(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' : negation(d['1']), 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_4'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : negation(d['c_0011_4']), '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_0101_7' : d['c_0011_0'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_2'], '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_0011_8'], 'c_0101_8' : d['c_0011_4'], 'c_0110_9' : negation(d['c_0101_2']), 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_0'], 'c_0110_5' : negation(d['c_0101_0']), 'c_0110_4' : d['c_0101_6'], 'c_0110_7' : d['c_0101_2'], 'c_0110_6' : d['c_0101_1']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 11 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_4, c_0011_8, c_0101_0, c_0101_1, c_0101_2, c_0101_5, c_0101_6, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 2767/20*c_0101_6^3*c_1001_3 - 1593/40*c_0101_6^3 + 3637/40*c_0101_6^2*c_1001_3 + 3223/20*c_0101_6^2 - 853/10*c_0101_6*c_1001_3 + 1319/40*c_0101_6 - 347/40*c_1001_3 - 102/5, c_0011_0 - 1, c_0011_3 - 109/16*c_0101_6^3*c_1001_3 + 235/16*c_0101_6^3 - 197/16*c_0101_6^2*c_1001_3 - 205/16*c_0101_6^2 + 207/16*c_0101_6*c_1001_3 - 69/16*c_0101_6 + 7/16*c_1001_3 + 51/16, c_0011_4 - 25/4*c_0101_6^3*c_1001_3 + 49/8*c_0101_6^3 - 15/4*c_0101_6^2*c_1001_3 - 59/8*c_0101_6^2 + 13/2*c_0101_6*c_1001_3 - 1/8*c_0101_6 + 11/8, c_0011_8 + 1/2*c_0101_6^3*c_1001_3 - 19/8*c_0101_6^3 + 3*c_0101_6^2*c_1001_3 + 29/8*c_0101_6^2 - 13/4*c_0101_6*c_1001_3 + 7/8*c_0101_6 + 1/4*c_1001_3 - 9/8, c_0101_0 - 235/16*c_0101_6^3*c_1001_3 - 109/16*c_0101_6^3 + 205/16*c_0101_6^2*c_1001_3 - 197/16*c_0101_6^2 + 69/16*c_0101_6*c_1001_3 + 207/16*c_0101_6 - 51/16*c_1001_3 + 7/16, c_0101_1 - 1, c_0101_2 + 17/2*c_0101_6^3*c_1001_3 + 27/4*c_0101_6^3 - 11*c_0101_6^2*c_1001_3 + 27/4*c_0101_6^2 - c_0101_6*c_1001_3 - 39/4*c_0101_6 + 5/2*c_1001_3 + 1/4, c_0101_5 + 1/4*c_0101_6^3*c_1001_3 - 19/16*c_0101_6^3 + 3/2*c_0101_6^2*c_1001_3 + 29/16*c_0101_6^2 - 21/8*c_0101_6*c_1001_3 - 9/16*c_0101_6 + 17/8*c_1001_3 - 1/16, c_0101_6^4 - 44/29*c_0101_6^3*c_1001_3 - 6/29*c_0101_6^3 + 262/377*c_0101_6^2*c_1001_3 - 452/377*c_0101_6^2 + 192/377*c_0101_6*c_1001_3 + 158/377*c_0101_6 - 34/377*c_1001_3 + 27/377, c_1001_3^2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB