Magma V2.19-8 Wed Aug 21 2013 00:59:53 on localhost [Seed = 1259163744] Type ? for help. Type -D to quit. Loading file "L13n787__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n787 geometric_solution 12.07406134 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 0 1 1 0 0 -1 -2 3 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 -1 2 1 0 0 -1 -11 1 0 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.702737824826 0.784824479958 0 3 6 5 0132 2103 0132 0132 0 1 0 1 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 0 -1 1 -1 0 1 0 0 0 0 0 11 0 -11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.367508877415 0.537008624224 4 0 8 7 1023 0132 0132 0132 0 0 0 1 0 1 -1 0 -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 1 -1 0 -1 0 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 -0.277183876331 0.929699480961 5 1 4 0 0132 2103 2103 0132 0 1 0 1 0 0 -2 2 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 -1 1 0 0 0 0 0 0 0 0 10 0 -10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.541841121311 0.455132343391 3 2 0 9 2103 1023 0132 0132 0 1 0 1 0 2 -3 1 0 0 0 0 2 0 0 -2 1 0 -1 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 1 0 0 -1 10 0 -10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.957580189991 1.340779659686 3 10 1 11 0132 0132 0132 0132 0 1 1 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 1 -1 0 0 0 0 0 -10 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.508864537657 1.289812144568 11 9 9 1 0132 0321 3201 0132 0 1 1 1 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 0 0 0 -1 0 1 0 0 1 -1 0 -11 0 11 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.555268733379 1.045581828126 8 8 2 12 0321 3120 0132 0132 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 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 0.294509259323 0.987810363125 7 7 10 2 0321 3120 0132 0132 0 0 1 0 0 0 -1 1 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 0 -1 1 0 0 1 -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 0.294509259323 0.987810363125 6 10 4 6 2310 2031 0132 0321 0 1 1 0 0 0 -1 1 0 0 0 0 0 -1 0 1 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 -1 0 1 0 -1 -10 0 11 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.555268733379 1.045581828126 9 5 12 8 1302 0132 0132 0132 0 0 0 1 0 -1 0 1 2 0 0 -2 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 0 1 1 0 0 -1 0 0 0 0 10 -10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.344211495603 0.633340313144 6 12 5 12 0132 0132 0132 1230 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 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 11 11 7 10 3012 0132 0132 0132 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.949585938676 0.953740445617 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_10'], 'c_1001_10' : d['c_1001_10'], 'c_1001_12' : negation(d['c_0011_8']), 'c_1001_5' : negation(d['c_1001_0']), 'c_1001_4' : negation(d['c_0011_7']), 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : negation(d['c_0101_9']), 'c_1001_1' : d['c_0011_10'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0011_0']), 'c_1001_2' : negation(d['c_0011_7']), 'c_1001_9' : d['c_0101_7'], 'c_1001_8' : negation(d['c_1001_0']), 'c_1010_12' : d['c_1001_10'], 'c_1010_11' : negation(d['c_0011_8']), 'c_1010_10' : negation(d['c_1001_0']), 's_3_11' : d['1'], 's_0_11' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : negation(d['1']), 'c_0101_12' : negation(d['c_0011_8']), 'c_0101_11' : d['c_0101_1'], 'c_0101_10' : negation(d['c_0011_9']), 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : 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' : 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' : 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' : negation(d['c_0101_9']), 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : negation(d['c_0011_11']), 'c_1100_5' : negation(d['c_0011_9']), 'c_1100_4' : negation(d['c_0101_9']), 'c_1100_7' : d['c_1100_10'], 'c_1100_6' : negation(d['c_0011_9']), 'c_1100_1' : negation(d['c_0011_9']), 'c_1100_0' : negation(d['c_0101_9']), 'c_1100_3' : negation(d['c_0101_9']), 'c_1100_2' : d['c_1100_10'], 's_0_10' : d['1'], 'c_1100_11' : negation(d['c_0011_9']), 'c_1100_10' : d['c_1100_10'], 's_3_10' : negation(d['1']), 'c_1010_7' : negation(d['c_0011_8']), 'c_1010_6' : d['c_0011_10'], 'c_1010_5' : d['c_1001_10'], 'c_1010_4' : d['c_0101_7'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_1001_0']), 'c_1010_0' : negation(d['c_0011_7']), 'c_1010_9' : d['c_0011_10'], 'c_1010_8' : negation(d['c_0011_7']), 'c_1100_8' : d['c_1100_10'], 's_3_1' : negation(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' : negation(d['1']), 'c_1100_12' : d['c_1100_10'], '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' : 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_8'], 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : negation(d['c_0011_0']), 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : negation(d['c_0011_11']), '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' : negation(d['c_0011_11']), 'c_0110_10' : negation(d['c_0101_7']), 'c_0110_12' : negation(d['c_0011_9']), 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : negation(d['c_0011_11']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : negation(d['c_0011_7']), '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_7']), 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : negation(d['1']), 'c_0110_9' : d['c_0011_11'], 'c_0110_8' : negation(d['c_0011_7']), '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_0101_7'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_9'], 'c_0110_7' : negation(d['c_0011_8']), 'c_0110_6' : d['c_0101_1'], 's_2_9' : d['1']})} 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_7, c_0011_8, c_0011_9, c_0101_0, c_0101_1, c_0101_7, c_0101_9, c_1001_0, c_1001_10, c_1100_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 5 Groebner basis: [ t - 12588829369/2366386176*c_1100_10^4 - 110693275013/5324368896*c_1100_10^3 - 6549102515/21128448*c_1100_10^2 + 126360434573/110924352*c_1100_10 - 71417385565/41596632, c_0011_0 - 1, c_0011_10 - 17/2112*c_1100_10^4 - 769/19008*c_1100_10^3 - 263/528*c_1100_10^2 + 118/99*c_1100_10 - 478/297, c_0011_11 - 31/2816*c_1100_10^4 - 5/99*c_1100_10^3 - 355/528*c_1100_10^2 + 265/132*c_1100_10 - 215/99, c_0011_7 + 7/2112*c_1100_10^4 + 101/4752*c_1100_10^3 + 155/792*c_1100_10^2 - 9/22*c_1100_10 - 238/297, c_0011_8 + 7/2112*c_1100_10^4 + 101/4752*c_1100_10^3 + 155/792*c_1100_10^2 - 9/22*c_1100_10 - 238/297, c_0011_9 + 83/8448*c_1100_10^4 + 943/19008*c_1100_10^3 + 62/99*c_1100_10^2 - 51/44*c_1100_10 + 433/297, c_0101_0 + 17/4224*c_1100_10^4 + 533/19008*c_1100_10^3 + 61/198*c_1100_10^2 - 4/99*c_1100_10 + 173/297, c_0101_1 - 1, c_0101_7 - 5/8448*c_1100_10^4 - 157/19008*c_1100_10^3 - 65/792*c_1100_10^2 + 73/198*c_1100_10 - 40/297, c_0101_9 - 5/8448*c_1100_10^4 - 157/19008*c_1100_10^3 - 65/792*c_1100_10^2 - 13/99*c_1100_10 - 40/297, c_1001_0 - 5/8448*c_1100_10^4 - 157/19008*c_1100_10^3 - 65/792*c_1100_10^2 - 125/198*c_1100_10 - 40/297, c_1001_10 - 133/8448*c_1100_10^4 - 1325/19008*c_1100_10^3 - 193/198*c_1100_10^2 + 1105/396*c_1100_10 - 767/297, c_1100_10^5 + 32/9*c_1100_10^4 + 512/9*c_1100_10^3 - 704/3*c_1100_10^2 + 3584/9*c_1100_10 - 1024/9 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.140 Total time: 0.350 seconds, Total memory usage: 32.09MB