Magma V2.19-8 Wed Aug 21 2013 01:10:33 on localhost [Seed = 3819305499] Type ? for help. Type -D to quit. Loading file "L14n53571__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n53571 geometric_solution 12.37647064 oriented_manifold CS_known 0.0000000000000000 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 2 2 2 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 -1 0 1 -5 0 6 -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 1.293123424301 1.136026515493 0 5 7 6 0132 0132 0132 0132 0 2 2 2 0 1 -1 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 -2 1 1 5 0 0 -5 -1 1 0 0 0 -6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.212951832511 0.825314213054 8 0 9 6 0132 0132 0132 2031 1 0 2 2 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 1 -2 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 0.411137959830 0.797598882977 10 7 11 0 0132 3120 0132 0132 1 2 2 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 0 0 0 6 0 0 -6 0 -1 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.584332755593 0.503675351576 12 7 0 5 0132 3201 0132 1302 1 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 0 0 0 0 0 0 0 0 0 0 -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 0.489395458611 0.990561932114 8 1 4 11 1023 0132 2031 2031 0 1 2 2 0 -1 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 0 2 0 -2 1 0 -1 0 -6 6 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.018148652545 0.846323123068 10 2 1 12 2103 1302 0132 3201 0 2 1 2 0 0 0 0 0 0 -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 1 -1 0 0 0 5 -5 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.489395458611 0.990561932114 9 3 4 1 1230 3120 2310 0132 0 2 2 1 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 1 0 -1 0 0 0 0 5 1 0 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.599093063660 0.811456548016 2 5 12 10 0132 1023 0321 0213 1 0 2 2 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 1 0 0 0 0 0 6 0 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.411137959830 0.797598882977 11 7 10 2 0213 3012 0213 0132 1 0 2 2 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 -2 2 1 0 0 -1 0 0 0 0 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.720495943667 1.011570842128 3 9 6 8 0132 0213 2103 0213 1 2 0 2 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 2 -1 -1 -6 0 0 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.489395458611 0.990561932114 9 5 12 3 0213 1302 0132 0132 1 2 0 2 0 0 0 0 0 0 0 0 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 0 0 0 0 -1 2 0 -1 -5 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.685713430161 0.483892215896 4 6 8 11 0132 2310 0321 0132 1 2 2 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 5 0 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.253772055578 0.918442527591 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0110_5'], 'c_1001_10' : d['c_0011_6'], 'c_1001_12' : d['c_1001_12'], 'c_1001_5' : negation(d['c_0101_12']), 'c_1001_4' : negation(d['c_0101_7']), 'c_1001_7' : negation(d['c_1001_3']), 'c_1001_6' : negation(d['c_0101_12']), 'c_1001_1' : d['c_0011_10'], 'c_1001_0' : d['c_0011_6'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : negation(d['c_0101_7']), 'c_1001_9' : d['c_0011_6'], 'c_1001_8' : d['c_0101_5'], 'c_1010_12' : d['c_0110_5'], 'c_1010_11' : d['c_1001_3'], 'c_1010_10' : d['c_1001_12'], 's_0_10' : negation(d['1']), 's_3_10' : d['1'], 's_0_12' : negation(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_9'], 'c_0101_10' : d['c_0101_0'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : negation(d['1']), 's_2_3' : negation(d['1']), 's_2_4' : negation(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' : negation(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' : d['1'], 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : d['c_1001_12'], 'c_1100_8' : d['c_1001_12'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_1001_3']), 'c_1100_4' : d['c_0101_5'], 'c_1100_7' : negation(d['c_0011_12']), 'c_1100_6' : negation(d['c_0011_12']), 'c_1100_1' : negation(d['c_0011_12']), 'c_1100_0' : d['c_0101_5'], 'c_1100_3' : d['c_0101_5'], 'c_1100_2' : d['c_1001_12'], 's_3_11' : negation(d['1']), 'c_1100_11' : d['c_0101_5'], 'c_1100_10' : d['c_0110_5'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0011_10'], 'c_1010_6' : negation(d['c_1001_12']), 'c_1010_5' : d['c_0011_10'], 'c_1010_4' : d['c_1001_3'], 'c_1010_3' : d['c_0011_6'], 'c_1010_2' : d['c_0011_6'], 'c_1010_1' : negation(d['c_0101_12']), 'c_1010_0' : negation(d['c_0101_7']), 'c_1010_9' : negation(d['c_0101_7']), 'c_1010_8' : d['c_0110_5'], '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' : 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' : d['c_0101_5'], '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' : 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' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_12']), 'c_0011_7' : negation(d['c_0011_6']), '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' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0101_2']), 'c_0110_10' : negation(d['c_0101_2']), 'c_0110_12' : d['c_0011_9'], 'c_0101_12' : d['c_0101_12'], 'c_0110_0' : d['c_0011_9'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0011_9'], 'c_0101_3' : negation(d['c_0101_2']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_9'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_10'], 'c_0101_8' : negation(d['c_0101_12']), '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_2'], 'c_0110_8' : d['c_0101_2'], '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_0101_12']), 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0101_12'], 'c_0110_7' : d['c_0011_9'], 'c_0110_6' : negation(d['c_0110_5'])})} 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_6, c_0011_9, c_0101_0, c_0101_12, c_0101_2, c_0101_5, c_0101_7, c_0110_5, c_1001_12, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t - 7071360/5347979*c_1001_3^6 + 864187/822766*c_1001_3^5 - 24697879/5347979*c_1001_3^4 + 4296675/5347979*c_1001_3^3 - 84063/58769*c_1001_3^2 - 5823491/10695958*c_1001_3 - 6857995/10695958, c_0011_0 - 1, c_0011_10 - 1, c_0011_12 - 9825/3457*c_1001_3^6 + 4090/3457*c_1001_3^5 - 24139/3457*c_1001_3^4 - 13652/3457*c_1001_3^3 + 8836/3457*c_1001_3^2 - 8381/3457*c_1001_3 - 2663/3457, c_0011_6 - 1, c_0011_9 + 9575/3457*c_1001_3^6 - 3810/3457*c_1001_3^5 + 25935/3457*c_1001_3^4 + 13850/3457*c_1001_3^3 - 4081/3457*c_1001_3^2 + 14941/3457*c_1001_3 + 2692/3457, c_0101_0 - 9245/3457*c_1001_3^6 + 6206/3457*c_1001_3^5 - 24987/3457*c_1001_3^4 - 8995/3457*c_1001_3^3 + 10941/3457*c_1001_3^2 - 21526/3457*c_1001_3 + 865/3457, c_0101_12 - 2845/3457*c_1001_3^6 - 4419/3457*c_1001_3^5 - 5973/3457*c_1001_3^4 - 19595/3457*c_1001_3^3 - 7077/3457*c_1001_3^2 - 2784/3457*c_1001_3 - 9557/3457, c_0101_2 + 3770/3457*c_1001_3^6 - 3531/3457*c_1001_3^5 + 8316/3457*c_1001_3^4 + 886/3457*c_1001_3^3 - 12245/3457*c_1001_3^2 + 2711/3457*c_1001_3 - 1267/3457, c_0101_5 + 4285/3457*c_1001_3^6 + 732/3457*c_1001_3^5 + 10424/3457*c_1001_3^4 + 13753/3457*c_1001_3^3 + 1813/3457*c_1001_3^2 + 9248/3457*c_1001_3 + 4965/3457, c_0101_7 - 4100/3457*c_1001_3^6 + 1135/3457*c_1001_3^5 - 9264/3457*c_1001_3^4 - 5741/3457*c_1001_3^3 + 5385/3457*c_1001_3^2 + 417/3457*c_1001_3 + 1167/3457, c_0110_5 + 1770/3457*c_1001_3^6 - 1291/3457*c_1001_3^5 + 5399/3457*c_1001_3^4 - 987/3457*c_1001_3^3 + 1596/3457*c_1001_3^2 - 121/3457*c_1001_3 - 1035/3457, c_1001_12 - 2660/3457*c_1001_3^6 - 2552/3457*c_1001_3^5 - 4813/3457*c_1001_3^4 - 11583/3457*c_1001_3^3 + 121/3457*c_1001_3^2 + 3424/3457*c_1001_3 + 32/3457, c_1001_3^7 + 1/5*c_1001_3^6 + 12/5*c_1001_3^5 + 3*c_1001_3^4 + 2/5*c_1001_3^3 + 6/5*c_1001_3^2 + 6/5*c_1001_3 + 2/5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.230 seconds, Total memory usage: 32.09MB