Magma V2.19-8 Wed Aug 21 2013 00:54:44 on localhost [Seed = 1343638040] Type ? for help. Type -D to quit. Loading file "L12n583__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n583 geometric_solution 12.21480437 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 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 1 -1 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 -0.203308624239 1.075582137004 0 5 4 2 0132 0132 2031 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.199113512071 1.073534222490 6 0 7 1 0132 0132 0132 1023 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 0 0 8 0 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.332975546259 0.900523853047 8 8 4 0 0132 1230 1302 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 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 0.609945602365 0.910360597403 3 9 0 1 2031 0132 0132 1302 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 -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 0.286302529432 0.701988650846 6 1 10 11 1023 0132 0132 0132 1 0 1 1 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 -7 7 -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 0.792739476729 1.410329372034 2 5 12 11 0132 1023 0132 1023 0 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 1 0 -1 -8 0 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.350285246849 0.409205438842 8 12 10 2 1023 2031 2310 0132 1 1 1 1 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 -7 0 -1 8 0 0 0 0 1 -8 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.558388287178 0.485108620423 3 7 3 11 0132 1023 3012 0321 1 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 7 0 -7 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 0.492046424144 0.758134690990 11 4 10 12 0132 0132 2103 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 1 -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 0.026165681094 1.127238710902 9 7 12 5 2103 3201 1023 0132 1 0 1 1 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 -7 0 7 0 0 0 0 1 0 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.116776574356 0.970217240846 9 8 5 6 0132 0321 0132 1023 1 0 1 1 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 7 -7 0 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 0.394269239450 1.077630051518 7 9 10 6 1302 1302 1023 0132 0 1 1 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 0 0 0 0 0 0 0 8 0 0 -8 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.122284479762 1.015978685863 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0110_4']), 'c_1001_10' : d['c_0011_3'], 'c_1001_12' : d['c_0101_10'], 'c_1001_5' : d['c_0101_6'], 'c_1001_4' : d['c_0011_12'], 'c_1001_7' : negation(d['c_0101_6']), 'c_1001_6' : d['c_0101_5'], 'c_1001_1' : negation(d['c_0110_4']), 'c_1001_0' : d['c_0101_0'], 'c_1001_3' : d['c_0110_4'], 'c_1001_2' : d['c_0011_12'], 'c_1001_9' : d['c_0011_10'], 'c_1001_8' : negation(d['c_0011_3']), 'c_1010_12' : d['c_0101_5'], 'c_1010_11' : d['c_0101_2'], 'c_1010_10' : d['c_0101_6'], 's_3_11' : 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' : d['1'], 'c_0101_11' : d['c_0101_10'], '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' : 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' : 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' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : negation(d['c_0101_5']), 'c_1100_8' : negation(d['c_0110_4']), 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_1100_10'], 'c_1100_4' : d['c_0101_1'], 'c_1100_7' : d['c_0011_10'], 'c_1100_6' : negation(d['c_1100_10']), 'c_1100_1' : negation(d['c_0011_10']), 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : d['c_0101_1'], 'c_1100_2' : d['c_0011_10'], 's_0_10' : d['1'], 'c_1100_11' : d['c_1100_10'], 'c_1100_10' : d['c_1100_10'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0011_12'], 'c_1010_6' : d['c_0101_10'], 'c_1010_5' : negation(d['c_0110_4']), 'c_1010_4' : d['c_0011_10'], 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : d['c_0101_6'], 'c_1010_0' : d['c_0011_12'], 'c_1010_9' : d['c_0011_12'], 'c_1010_8' : d['c_0101_2'], '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' : negation(d['c_1100_10']), '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' : 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_11']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_11'], 'c_0011_7' : negation(d['c_0011_3']), 'c_0110_6' : d['c_0101_2'], '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_0101_10'], 'c_0110_10' : d['c_0101_5'], 'c_0110_12' : d['c_0101_6'], 'c_0101_12' : d['c_0011_3'], 'c_0110_0' : d['c_0101_1'], 'c_0011_6' : d['c_0011_0'], 'c_0101_7' : negation(d['c_0011_3']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_11']), '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_10'], 'c_0101_8' : d['c_0101_0'], 's_1_12' : negation(d['1']), 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_10'], 'c_0110_8' : negation(d['c_0011_11']), 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : d['c_0101_10'], 'c_0110_4' : d['c_0110_4'], 'c_0110_7' : d['c_0101_2'], 'c_0011_10' : d['c_0011_10']})} 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_3, c_0101_0, c_0101_1, c_0101_10, c_0101_2, c_0101_5, c_0101_6, c_0110_4, c_1100_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 5 Groebner basis: [ t + 79489370753/769190224*c_0110_4^4 - 453589358865/769190224*c_0110_4^3 + 693135352809/769190224*c_0110_4^2 - 267228349407/384595112*c_0110_4 + 206868767789/769190224, c_0011_0 - 1, c_0011_10 - 6175/3802*c_0110_4^4 + 31773/3802*c_0110_4^3 - 37427/3802*c_0110_4^2 + 10980/1901*c_0110_4 - 5735/3802, c_0011_11 + 1443/1901*c_0110_4^4 - 5812/1901*c_0110_4^3 + 954/1901*c_0110_4^2 + 1912/1901*c_0110_4 - 901/1901, c_0011_12 + 6175/3802*c_0110_4^4 - 31773/3802*c_0110_4^3 + 37427/3802*c_0110_4^2 - 14782/1901*c_0110_4 + 13339/3802, c_0011_3 - 6175/3802*c_0110_4^4 + 31773/3802*c_0110_4^3 - 37427/3802*c_0110_4^2 + 12881/1901*c_0110_4 - 9537/3802, c_0101_0 + 3289/3802*c_0110_4^4 - 20149/3802*c_0110_4^3 + 35519/3802*c_0110_4^2 - 14793/1901*c_0110_4 + 11339/3802, c_0101_1 + 4732/1901*c_0110_4^4 - 25961/1901*c_0110_4^3 + 36473/1901*c_0110_4^2 - 27674/1901*c_0110_4 + 8537/1901, c_0101_10 + 7813/3802*c_0110_4^4 - 20855/1901*c_0110_4^3 + 26525/1901*c_0110_4^2 - 35049/3802*c_0110_4 + 5259/1901, c_0101_2 - c_0110_4 + 2, c_0101_5 - 1, c_0101_6 - 3081/1901*c_0110_4^4 + 15749/1901*c_0110_4^3 - 16577/1901*c_0110_4^2 + 9276/1901*c_0110_4 - 1981/1901, c_0110_4^5 - 80/13*c_0110_4^4 + 148/13*c_0110_4^3 - 145/13*c_0110_4^2 + 79/13*c_0110_4 - 19/13, c_1100_10 + 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_12, c_0011_3, c_0101_0, c_0101_1, c_0101_10, c_0101_2, c_0101_5, c_0101_6, c_0110_4, c_1100_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 48920877/2656000*c_0110_4^5 + 12302637/132800*c_0110_4^4 + 63808429/332000*c_0110_4^3 + 541451631/2656000*c_0110_4^2 + 170296441/1593600*c_0110_4 + 160908031/7968000, c_0011_0 - 1, c_0011_10 + 1269/166*c_0110_4^5 + 6201/166*c_0110_4^4 + 12243/166*c_0110_4^3 + 6024/83*c_0110_4^2 + 5829/166*c_0110_4 + 408/83, c_0011_11 + 729/83*c_0110_4^5 + 3753/83*c_0110_4^4 + 7812/83*c_0110_4^3 + 8145/83*c_0110_4^2 + 4115/83*c_0110_4 + 550/83, c_0011_12 - 1269/166*c_0110_4^5 - 6201/166*c_0110_4^4 - 12243/166*c_0110_4^3 - 6024/83*c_0110_4^2 - 5497/166*c_0110_4 - 242/83, c_0011_3 - 1269/166*c_0110_4^5 - 6201/166*c_0110_4^4 - 12243/166*c_0110_4^3 - 6024/83*c_0110_4^2 - 5663/166*c_0110_4 - 325/83, c_0101_0 - 189/166*c_0110_4^5 - 1305/166*c_0110_4^4 - 3381/166*c_0110_4^3 - 2121/83*c_0110_4^2 - 2567/166*c_0110_4 - 225/83, c_0101_1 + 135/83*c_0110_4^5 + 612/83*c_0110_4^4 + 921/83*c_0110_4^3 + 540/83*c_0110_4^2 + 55/83*c_0110_4 - 58/83, c_0101_10 + 702/83*c_0110_4^5 + 6813/166*c_0110_4^4 + 6582/83*c_0110_4^3 + 6294/83*c_0110_4^2 + 5801/166*c_0110_4 + 379/83, c_0101_2 - c_0110_4 - 2, c_0101_5 - 1, c_0101_6 + 864/83*c_0110_4^5 + 4365/83*c_0110_4^4 + 8733/83*c_0110_4^3 + 8685/83*c_0110_4^2 + 4170/83*c_0110_4 + 575/83, c_0110_4^6 + 16/3*c_0110_4^5 + 104/9*c_0110_4^4 + 115/9*c_0110_4^3 + 197/27*c_0110_4^2 + 47/27*c_0110_4 + 4/27, c_1100_10 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.180 Total time: 0.390 seconds, Total memory usage: 32.09MB