Magma V2.19-8 Wed Aug 21 2013 00:54:33 on localhost [Seed = 139334239] Type ? for help. Type -D to quit. Loading file "L12n368__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n368 geometric_solution 11.76294367 oriented_manifold CS_known 0.0000000000000000 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 1 1 1 0 0 0 0 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 -1 1 -3 0 0 3 0 0 0 0 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.070957497361 1.095630747727 0 5 7 6 0132 0132 0132 0132 1 1 1 1 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 -1 0 1 3 0 0 -3 -3 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.019214014973 1.175054758860 5 0 9 8 0132 0132 0132 0132 1 1 1 1 0 0 0 0 -1 0 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 2 0 0 -2 -2 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.233905202042 0.958099455024 8 10 10 0 0132 0132 1302 0132 1 1 1 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 -1 0 1 0 0 0 0 0 -3 0 3 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.058864312771 0.908903969469 11 6 0 10 0132 1302 0132 1302 1 1 1 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 0 0 0 0 0 0 0 1 -1 0 0 0 -3 3 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.070957497361 1.095630747727 2 1 6 9 0132 0132 2103 2031 1 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 -1 0 -2 0 2 0 0 0 0 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.223033400822 0.753515434756 5 7 1 4 2103 0132 0132 2031 1 1 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 -1 1 -2 0 3 -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 1.013911879575 0.850796687898 9 6 11 1 0132 0132 3012 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.592670889261 0.365146742917 3 12 2 12 0132 0132 0132 1230 1 1 0 1 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 0 0 0 0 0 2 -2 -1 1 0 0 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.070957497361 1.095630747727 7 5 11 2 0132 1302 0132 0132 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 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 0.699919184927 0.487364573144 3 3 4 12 2031 0132 2031 0132 1 1 0 1 0 0 0 0 0 0 0 0 -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 1 -1 0 0 0 0 0 0 1 0 -1 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.070957497361 1.095630747727 4 7 12 9 0132 1230 1230 0132 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 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 0 0 0.233905202042 0.958099455024 8 8 10 11 3012 0132 0132 3012 1 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 0 0 0 0 0 0 0 0 0 0 0 2 -2 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.450220731069 0.530950602176 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_11'], 'c_1001_10' : negation(d['c_0101_11']), 'c_1001_12' : d['c_0101_12'], 'c_1001_5' : d['c_0011_6'], 'c_1001_4' : d['c_0110_6'], 'c_1001_7' : negation(d['c_0011_11']), 'c_1001_6' : d['c_0011_6'], 'c_1001_1' : d['c_0011_6'], 'c_1001_0' : negation(d['c_0101_11']), 'c_1001_3' : d['c_0101_12'], 'c_1001_2' : d['c_0110_6'], 'c_1001_9' : d['c_0101_2'], 'c_1001_8' : negation(d['c_0101_11']), 'c_1010_12' : negation(d['c_0101_11']), 'c_1010_11' : d['c_0101_2'], 'c_1010_10' : d['c_0101_12'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : negation(d['1']), 's_2_8' : negation(d['1']), 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : d['1'], 's_2_1' : 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' : negation(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' : negation(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' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : d['c_0011_11'], 'c_1100_8' : d['c_0110_12'], 'c_0011_12' : negation(d['c_0011_10']), 'c_1100_5' : negation(d['c_0110_6']), 'c_1100_4' : d['c_0101_10'], 'c_1100_7' : negation(d['c_1001_11']), 'c_1100_6' : negation(d['c_1001_11']), 'c_1100_1' : negation(d['c_1001_11']), 'c_1100_0' : d['c_0101_10'], 'c_1100_3' : d['c_0101_10'], 'c_1100_2' : d['c_0110_12'], 's_3_11' : d['1'], 'c_1100_11' : d['c_0110_12'], 'c_1100_10' : negation(d['c_1001_11']), 's_0_11' : negation(d['1']), 'c_1010_7' : d['c_0011_6'], 'c_1010_6' : negation(d['c_0011_11']), 'c_1010_5' : d['c_0011_6'], 'c_1010_4' : d['c_1001_11'], 'c_1010_3' : negation(d['c_0101_11']), 'c_1010_2' : negation(d['c_0101_11']), 'c_1010_1' : d['c_0011_6'], 'c_1010_0' : d['c_0110_6'], 'c_1010_9' : d['c_0110_6'], 'c_1010_8' : d['c_0101_12'], 's_3_1' : negation(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' : 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_11']), 's_1_7' : 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' : d['1'], 's_1_8' : negation(d['1']), 'c_0011_9' : d['c_0011_6'], 'c_0011_8' : d['c_0011_10'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_11']), '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' : d['c_0101_1'], 'c_0110_10' : d['c_0101_12'], 'c_0110_12' : d['c_0110_12'], 'c_0101_12' : d['c_0101_12'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_2'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_10']), '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_0101_1'], 'c_0101_8' : d['c_0101_0'], 'c_0011_10' : d['c_0011_10'], 's_1_12' : negation(d['1']), 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_2'], 'c_0110_8' : negation(d['c_0011_10']), 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_0110_12'], '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_11'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0110_6']})} 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_6, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_12, c_0101_2, c_0110_12, c_0110_6, c_1001_11 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 5 Groebner basis: [ t - 23097/11644*c_1001_11^4 - 39451/5822*c_1001_11^3 - 183449/11644*c_1001_11^2 - 119749/11644*c_1001_11 - 36657/11644, c_0011_0 - 1, c_0011_10 + 1, c_0011_11 - 1, c_0011_6 + c_1001_11^4 + 3*c_1001_11^3 + 7*c_1001_11^2 + 3*c_1001_11 + 1, c_0101_0 + c_1001_11, c_0101_1 + 1, c_0101_10 + 4*c_1001_11^4 + 14*c_1001_11^3 + 32*c_1001_11^2 + 23*c_1001_11 + 6, c_0101_11 - 4*c_1001_11^4 - 14*c_1001_11^3 - 32*c_1001_11^2 - 22*c_1001_11 - 6, c_0101_12 + 1, c_0101_2 + c_1001_11^4 + 4*c_1001_11^3 + 10*c_1001_11^2 + 9*c_1001_11 + 4, c_0110_12 - 4*c_1001_11^4 - 14*c_1001_11^3 - 32*c_1001_11^2 - 21*c_1001_11 - 6, c_0110_6 + 1, c_1001_11^5 + 4*c_1001_11^4 + 10*c_1001_11^3 + 10*c_1001_11^2 + 5*c_1001_11 + 1 ], 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_6, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_12, c_0101_2, c_0110_12, c_0110_6, c_1001_11 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 73361490787/4950326528*c_1001_11^7 - 3305054561345/39602612224*c_1001_11^6 - 9052379780407/79205224448*c_1001_11^5 + 1906290402971/19801306112*c_1001_11^4 + 7128847378979/39602612224*c_1001_11^3 - 63810778455/1414379008*c_1001_11^2 - 6904797174521/79205224448*c_1001_11 - 243373002329/79205224448, c_0011_0 - 1, c_0011_10 + 1, c_0011_11 - 1, c_0011_6 + 112108/394637*c_1001_11^7 + 845285/789274*c_1001_11^6 - 36630/394637*c_1001_11^5 - 1026474/394637*c_1001_11^4 + 988294/394637*c_1001_11^3 + 835839/789274*c_1001_11^2 - 1476735/789274*c_1001_11 + 24595/394637, c_0101_0 + c_1001_11, c_0101_1 - 977608/394637*c_1001_11^7 - 4897487/394637*c_1001_11^6 - 4724939/394637*c_1001_11^5 + 8219550/394637*c_1001_11^4 + 6214012/394637*c_1001_11^3 - 3978573/394637*c_1001_11^2 - 2390968/394637*c_1001_11 - 428274/394637, c_0101_10 + 973912/394637*c_1001_11^7 + 5121797/394637*c_1001_11^6 + 6057566/394637*c_1001_11^5 - 6368354/394637*c_1001_11^4 - 7464172/394637*c_1001_11^3 + 2378221/394637*c_1001_11^2 + 2643698/394637*c_1001_11 + 863652/394637, c_0101_11 - 973912/394637*c_1001_11^7 - 5121797/394637*c_1001_11^6 - 6057566/394637*c_1001_11^5 + 6368354/394637*c_1001_11^4 + 7464172/394637*c_1001_11^3 - 2378221/394637*c_1001_11^2 - 3038335/394637*c_1001_11 - 863652/394637, c_0101_12 - 1, c_0101_2 + 730712/394637*c_1001_11^7 + 3563093/394637*c_1001_11^6 + 3163572/394637*c_1001_11^5 - 6179711/394637*c_1001_11^4 - 3879422/394637*c_1001_11^3 + 2327291/394637*c_1001_11^2 + 1400424/394637*c_1001_11 + 790528/394637, c_0110_12 - 973912/394637*c_1001_11^7 - 5121797/394637*c_1001_11^6 - 6057566/394637*c_1001_11^5 + 6368354/394637*c_1001_11^4 + 7464172/394637*c_1001_11^3 - 2378221/394637*c_1001_11^2 - 3432972/394637*c_1001_11 - 863652/394637, c_0110_6 - 977608/394637*c_1001_11^7 - 4897487/394637*c_1001_11^6 - 4724939/394637*c_1001_11^5 + 8219550/394637*c_1001_11^4 + 6214012/394637*c_1001_11^3 - 3978573/394637*c_1001_11^2 - 2390968/394637*c_1001_11 - 428274/394637, c_1001_11^8 + 47/8*c_1001_11^7 + 37/4*c_1001_11^6 - 15/4*c_1001_11^5 - 51/4*c_1001_11^4 - 9/8*c_1001_11^3 + 43/8*c_1001_11^2 + 9/4*c_1001_11 + 1/2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.190 Total time: 0.390 seconds, Total memory usage: 32.09MB