Magma V2.19-8 Wed Aug 21 2013 00:59:15 on localhost [Seed = 1899457066] Type ? for help. Type -D to quit. Loading file "L13n6778__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n6778 geometric_solution 12.07406134 oriented_manifold CS_known 0.0000000000000003 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 2 0 0 2 0 0 0 0 0 0 1 -1 -1 2 0 -1 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 1 -1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.702737824826 0.784824479958 0 2 3 5 0132 0321 0321 0132 2 0 2 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 -1 1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.541841121311 0.455132343391 6 0 4 1 0132 0132 0132 0321 2 0 2 0 0 0 0 0 0 0 0 0 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 0 0 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 0.957580189991 1.340779659686 5 7 1 0 0132 0132 0321 0132 2 0 2 0 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 0 -1 0 0 -1 1 1 -2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.367508877415 0.537008624224 8 9 0 2 0132 0132 0132 0132 2 0 0 0 0 0 0 0 -1 0 1 0 2 0 0 -2 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 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.277183876331 0.929699480961 3 10 1 11 0132 0132 0132 0132 2 0 0 2 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.508864537657 1.289812144568 2 7 7 11 0132 0321 3201 0213 2 0 0 2 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 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 0.555268733379 1.045581828126 6 3 10 6 2310 0132 0132 0321 2 2 0 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 -1 -1 2 -1 0 1 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 0.555268733379 1.045581828126 4 12 12 12 0132 0132 0321 0213 1 0 0 0 0 -1 0 1 1 0 1 -2 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 1 1 -2 -1 0 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 0.294509259323 0.987810363125 11 4 10 10 1023 0132 1023 1230 2 2 0 0 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 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 0.949585938676 0.953740445617 9 5 9 7 3012 0132 1023 0132 2 2 2 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 0 0 0 0 0 -1 1 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 0.475753347912 0.526540268986 12 9 5 6 0132 1023 0132 0213 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.344211495603 0.633340313144 11 8 8 8 0132 0132 0321 0213 1 0 0 0 0 1 0 -1 0 0 0 0 0 -2 0 2 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 -1 2 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 0.294509259323 0.987810363125 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_9'], 'c_1001_10' : d['c_0101_9'], 'c_1001_12' : d['c_1001_12'], 'c_1001_5' : d['c_1001_0'], 'c_1001_4' : d['c_0101_10'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : negation(d['c_0101_7']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_0101_10'], 'c_1001_9' : d['c_0101_10'], 'c_1001_8' : d['c_1001_12'], 'c_1010_12' : d['c_1001_12'], 'c_1010_11' : d['c_0011_10'], 'c_1010_10' : d['c_1001_0'], 's_3_11' : d['1'], 's_0_11' : negation(d['1']), 's_0_12' : negation(d['1']), 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0101_1']), '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' : 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' : negation(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' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : d['c_0101_7'], 'c_1100_8' : d['c_1001_12'], 'c_0011_12' : negation(d['c_0011_11']), 'c_1100_5' : d['c_1001_3'], 'c_1100_4' : d['c_1001_1'], 'c_1100_7' : negation(d['c_0101_7']), 'c_1100_6' : d['c_0011_10'], 'c_1100_1' : d['c_1001_3'], 'c_1100_0' : d['c_1001_1'], 'c_1100_3' : d['c_1001_1'], 'c_1100_2' : d['c_1001_1'], 's_0_10' : d['1'], 'c_1100_11' : d['c_1001_3'], 'c_1100_10' : negation(d['c_0101_7']), 's_3_10' : d['1'], 'c_1010_7' : d['c_1001_3'], 'c_1010_6' : d['c_1001_3'], 'c_1010_5' : d['c_0101_9'], 'c_1010_4' : d['c_0101_10'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_0'], 'c_1010_0' : d['c_0101_10'], 'c_1010_9' : d['c_0101_10'], 'c_1010_8' : d['c_1001_12'], 's_3_1' : negation(d['1']), 's_3_0' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : negation(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' : d['c_1001_12'], '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' : d['1'], 's_1_1' : d['1'], 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : negation(d['1']), 'c_0011_9' : d['c_0011_11'], 'c_0011_8' : d['c_0011_11'], 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : negation(d['c_0011_11']), 'c_0011_7' : negation(d['c_0011_10']), 'c_0011_6' : d['c_0011_0'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_10'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_12'], 'c_0110_10' : d['c_0101_7'], 'c_0110_12' : negation(d['c_0101_1']), 'c_0101_12' : d['c_0101_12'], 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0011_0'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0101_1']), 'c_0101_2' : negation(d['c_0101_12']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : negation(d['c_0101_12']), '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_0011_10'], 'c_0110_8' : d['c_0101_1'], '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_1']), 'c_0110_4' : negation(d['c_0101_12']), 'c_0110_7' : negation(d['c_0011_0']), 'c_0110_6' : negation(d['c_0101_12'])})} 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_0101_0, c_0101_1, c_0101_10, c_0101_12, c_0101_7, c_0101_9, c_1001_0, c_1001_1, c_1001_12, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 5 Groebner basis: [ t - 5009843/59155866*c_1001_3^4 + 141538169/236623464*c_1001_3^3 - 1195903/5771304*c_1001_3^2 - 57822755/78874488*c_1001_3 + 154262753/118311732, c_0011_0 - 1, c_0011_10 - 42/347*c_1001_3^4 + 367/347*c_1001_3^3 - 642/347*c_1001_3^2 - 48/347*c_1001_3 - 83/347, c_0011_11 + 2316/21167*c_1001_3^4 - 17164/21167*c_1001_3^3 + 12004/21167*c_1001_3^2 + 13156/21167*c_1001_3 - 56396/21167, c_0101_0 - 38/347*c_1001_3^4 + 299/347*c_1001_3^3 - 333/347*c_1001_3^2 - 93/347*c_1001_3 - 356/347, c_0101_1 - 1, c_0101_10 + 70/347*c_1001_3^4 - 496/347*c_1001_3^3 + 376/347*c_1001_3^2 - 614/347*c_1001_3 + 254/347, c_0101_12 + 2316/21167*c_1001_3^4 - 17164/21167*c_1001_3^3 + 12004/21167*c_1001_3^2 + 13156/21167*c_1001_3 - 35229/21167, c_0101_7 - 26/347*c_1001_3^4 + 95/347*c_1001_3^3 + 594/347*c_1001_3^2 + 119/347*c_1001_3 + 213/347, c_0101_9 + 26/347*c_1001_3^4 - 95/347*c_1001_3^3 - 594/347*c_1001_3^2 + 228/347*c_1001_3 - 213/347, c_1001_0 - 101/347*c_1001_3^4 + 676/347*c_1001_3^3 - 255/347*c_1001_3^2 + 529/347*c_1001_3 - 307/347, c_1001_1 + 31/347*c_1001_3^4 - 180/347*c_1001_3^3 - 121/347*c_1001_3^2 + 85/347*c_1001_3 + 53/347, c_1001_12 - 1, c_1001_3^5 - 8*c_1001_3^4 + 11*c_1001_3^3 - 10*c_1001_3^2 + 4*c_1001_3 - 7 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.250 seconds, Total memory usage: 32.09MB