Magma V2.19-8 Wed Aug 21 2013 01:00:16 on localhost [Seed = 4020892905] Type ? for help. Type -D to quit. Loading file "L13n923__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n923 geometric_solution 11.81741481 oriented_manifold CS_known 0.0000000000000003 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 1 3 0132 0132 1023 0132 0 0 1 1 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 -1 0 0 0 0 0 -1 1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.363892955992 1.015662929776 0 4 0 5 0132 0132 1023 0132 0 0 1 1 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 1 -1 1 0 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.363892955992 1.015662929776 4 0 6 4 0321 0132 0132 0213 0 1 1 1 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 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 0.687374303816 0.872570697733 4 7 0 8 2031 0132 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.711103811004 1.199565351768 2 1 3 2 0321 0132 1302 0213 0 1 1 1 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 0.687374303816 0.872570697733 6 9 1 8 2031 0132 0132 1023 0 0 1 1 0 0 -1 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 0 0 0 -1 0 1 0 -15 16 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.312625696184 0.872570697733 7 10 5 2 0321 0132 1302 0132 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 1 -1 0 0 0 0 0 1 0 -1 0 -15 15 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.936614056459 0.868682530033 6 3 11 10 0321 0132 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.290508631369 0.855590662668 12 12 3 5 0132 1230 0132 1023 0 0 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 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 0.423935705262 0.511925416078 11 5 10 11 0321 0132 0132 0132 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 1 0 0 -1 0 1 0 -1 1 -16 15 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.224250109915 1.375593148470 12 6 7 9 1023 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 0 0 0 0 0 0 0 15 0 -15 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.126252439955 0.425661370746 9 12 9 7 0321 1302 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 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 0.356346896058 1.752609261987 8 10 8 11 0132 1023 3012 2031 1 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 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 0.040411608169 1.158755161820 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_8'], 'c_1001_10' : d['c_1001_10'], 'c_1001_12' : d['c_0011_10'], 'c_1001_5' : d['c_0101_8'], 'c_1001_4' : d['c_0101_8'], 'c_1001_7' : d['c_1001_7'], 'c_1001_6' : d['c_0101_12'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_1001_10'], 'c_1001_2' : d['c_1001_10'], 'c_1001_9' : d['c_0101_12'], 'c_1001_8' : d['c_1001_7'], 'c_1010_12' : d['c_0011_11'], 'c_1010_11' : d['c_1001_7'], 'c_1010_10' : d['c_0101_12'], 's_0_10' : 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' : d['1'], 'c_0101_11' : negation(d['c_0011_11']), 'c_0101_10' : d['c_0011_10'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : 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_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' : 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_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_10'], 'c_1100_5' : negation(d['c_1100_0']), 'c_1100_4' : d['c_0101_1'], 'c_1100_7' : d['c_1100_10'], 'c_1100_6' : d['c_0101_0'], 'c_1100_1' : negation(d['c_1100_0']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_0101_0'], 's_3_11' : d['1'], 'c_1100_9' : d['c_1100_10'], 'c_1100_11' : d['c_1100_10'], 'c_1100_10' : d['c_1100_10'], 's_3_10' : d['1'], 'c_1010_7' : d['c_1001_10'], 'c_1010_6' : d['c_1001_10'], 'c_1010_5' : d['c_0101_12'], 'c_1010_4' : d['c_0101_0'], 'c_1010_3' : d['c_1001_7'], 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : d['c_0101_8'], 'c_1010_0' : d['c_1001_10'], 'c_1010_9' : d['c_0101_8'], 'c_1010_8' : d['c_0101_12'], 'c_1100_8' : d['c_1100_0'], 's_3_1' : d['1'], 's_3_0' : 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' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : negation(d['c_1001_7']), 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(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' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_5']), 'c_0011_8' : negation(d['c_0011_10']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_3']), '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_11' : d['c_0011_5'], 'c_0110_10' : d['c_0011_11'], 'c_0110_12' : d['c_0101_8'], 'c_0101_12' : d['c_0101_12'], 'c_0101_7' : d['c_0011_5'], 'c_0101_6' : negation(d['c_0011_5']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : negation(d['c_0011_3']), 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0011_3'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_11'], 'c_0101_8' : d['c_0101_8'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_11']), 'c_0110_8' : d['c_0101_12'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_8'], 'c_0110_2' : negation(d['c_0011_0']), 'c_0110_5' : d['c_0101_12'], 'c_0110_4' : d['c_0011_0'], 'c_0110_7' : d['c_0011_10'], 'c_0110_6' : d['c_0011_3']})} 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_3, c_0011_5, c_0101_0, c_0101_1, c_0101_12, c_0101_8, c_1001_10, c_1001_7, c_1100_0, c_1100_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 400818176/2691*c_1100_10^5 - 65880064/207*c_1100_10^4 + 337838080/2691*c_1100_10^3 - 78794752/897*c_1100_10^2 + 43565056/2691*c_1100_10 - 8049664/2691, c_0011_0 - 1, c_0011_10 - 96/23*c_1100_10^5 - 256/23*c_1100_10^4 + 40/23*c_1100_10^3 + 150/23*c_1100_10^2 - 30/23*c_1100_10 + 25/23, c_0011_11 + 64/23*c_1100_10^5 + 232/23*c_1100_10^4 + 96/23*c_1100_10^3 - 192/23*c_1100_10^2 + 20/23*c_1100_10 - 32/23, c_0011_3 - 224/23*c_1100_10^5 - 352/23*c_1100_10^4 + 492/23*c_1100_10^3 - 156/23*c_1100_10^2 + 91/23*c_1100_10 - 26/23, c_0011_5 + 496/23*c_1100_10^5 + 832/23*c_1100_10^4 - 1004/23*c_1100_10^3 + 260/23*c_1100_10^2 - 121/23*c_1100_10 + 5/23, c_0101_0 - 1, c_0101_1 - 1, c_0101_12 - 496/23*c_1100_10^5 - 832/23*c_1100_10^4 + 1004/23*c_1100_10^3 - 260/23*c_1100_10^2 + 121/23*c_1100_10 - 5/23, c_0101_8 + 224/23*c_1100_10^5 + 352/23*c_1100_10^4 - 492/23*c_1100_10^3 + 156/23*c_1100_10^2 - 91/23*c_1100_10 + 3/23, c_1001_10 + 224/23*c_1100_10^5 + 352/23*c_1100_10^4 - 492/23*c_1100_10^3 + 156/23*c_1100_10^2 - 91/23*c_1100_10 + 3/23, c_1001_7 - 240/23*c_1100_10^5 - 456/23*c_1100_10^4 + 376/23*c_1100_10^3 - 62/23*c_1100_10^2 + 63/23*c_1100_10 - 13/46, c_1100_0 - 224/23*c_1100_10^5 - 352/23*c_1100_10^4 + 492/23*c_1100_10^3 - 156/23*c_1100_10^2 + 91/23*c_1100_10 - 26/23, c_1100_10^6 + 3/2*c_1100_10^5 - 9/4*c_1100_10^4 + c_1100_10^3 - 1/2*c_1100_10^2 + 3/32*c_1100_10 - 1/64 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.540 Total time: 0.760 seconds, Total memory usage: 32.09MB