Magma V2.19-8 Tue Aug 20 2013 23:59:21 on localhost [Seed = 4155612811] Type ? for help. Type -D to quit. Loading file "L14n43249__sl2_c4.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n43249 geometric_solution 10.07007854 oriented_manifold CS_known 0.0000000000000001 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 1 3 0132 0132 3120 0132 2 0 2 1 0 0 0 0 3 0 -1 -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 1 0 -2 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 0.074525205963 0.874957381139 0 4 0 5 0132 0132 3120 0132 1 0 1 2 0 0 0 0 -3 0 1 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 2 0 -1 -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 0.074525205963 0.874957381139 4 0 7 6 0132 0132 0132 0132 2 2 1 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 0 0 0 0 0 0 0 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 -0.251047588012 0.558756509233 5 4 0 5 0132 1302 0132 2103 2 0 1 2 0 0 0 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 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 0.903352641311 1.134680793704 2 1 8 3 0132 0132 0132 2031 1 2 2 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 0.528545490963 2.050033784075 3 8 1 3 0132 0213 0132 2103 1 0 2 1 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.903352641311 1.134680793704 9 8 2 9 0132 1023 0132 1023 2 2 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 0.934733832483 1.843497698550 10 10 9 2 0132 1230 1023 0132 2 2 2 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 0 0 0 0 -1 0 1 0 0 0 0 2 -1 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.224743362954 0.462168069729 6 11 5 4 1023 0132 0213 0132 1 2 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 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.251047588012 0.558756509233 6 11 7 6 0132 1023 1023 1023 2 2 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 -0.736277940659 1.348999470789 7 11 7 11 0132 3201 3012 2103 1 2 1 2 0 0 0 0 0 0 0 0 0 1 0 -1 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 1 -1 1 -1 0 0 -2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.149050411925 1.749914762278 9 8 10 10 1023 0132 2310 2103 1 2 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 -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 0.224743362954 0.462168069729 ==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' : d['c_0011_10'], 'c_1001_5' : d['c_1001_11'], 'c_1001_4' : d['c_1001_11'], 'c_1001_7' : d['c_0101_9'], 'c_1001_6' : negation(d['c_0011_3']), 'c_1001_1' : d['c_0011_3'], 'c_1001_0' : negation(d['c_0011_3']), 'c_1001_3' : d['c_0101_10'], 'c_1001_2' : d['c_0101_10'], 'c_1001_9' : negation(d['c_0011_10']), 'c_1001_8' : d['c_1001_11'], 'c_1010_11' : d['c_1001_11'], 'c_1010_10' : negation(d['c_1001_11']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0011_10']), 'c_0101_10' : d['c_0101_10'], 's_2_0' : negation(d['1']), 's_2_1' : negation(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_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_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_0101_0']), 'c_1100_4' : negation(d['c_1010_3']), 'c_1100_7' : d['c_1100_2'], 'c_1100_6' : d['c_1100_2'], 'c_1100_1' : negation(d['c_0101_0']), 'c_1100_0' : negation(d['c_0101_1']), 'c_1100_3' : negation(d['c_0101_1']), 'c_1100_2' : d['c_1100_2'], 's_3_11' : d['1'], 'c_1100_11' : d['c_0011_10'], 'c_1100_10' : negation(d['c_0101_9']), 's_0_11' : d['1'], 'c_1010_7' : d['c_0101_10'], 'c_1010_6' : d['c_0101_4'], 'c_1010_5' : negation(d['c_1010_3']), 'c_1010_4' : d['c_0011_3'], 'c_1010_3' : d['c_1010_3'], 'c_1010_2' : negation(d['c_0011_3']), 'c_1010_1' : d['c_1001_11'], 'c_1010_0' : d['c_0101_10'], 'c_1010_9' : d['c_0101_9'], 'c_1010_8' : d['c_1001_11'], 'c_1100_8' : negation(d['c_1010_3']), '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'], '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' : d['1'], 'c_0011_9' : d['c_0011_11'], 'c_0011_8' : negation(d['c_0011_11']), 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_10']), '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_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_9'], 'c_0110_10' : negation(d['c_0011_10']), 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : negation(d['c_0011_10']), 'c_0101_6' : d['c_0101_4'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_10'], '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_0011_3']), 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_4'], 'c_0110_8' : d['c_0101_4'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_1100_2']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_10'], 'c_0110_6' : d['c_0101_9']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_3, c_0101_0, c_0101_1, c_0101_10, c_0101_4, c_0101_9, c_1001_11, c_1010_3, c_1100_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 5 Groebner basis: [ t + 56801000/5291*c_1100_2^4 + 12321787615/433862*c_1100_2^3 + 632279442/19721*c_1100_2^2 + 257792682/16687*c_1100_2 + 1170256271/433862, c_0011_0 - 1, c_0011_10 + 57*c_1100_2^4 + 4928/41*c_1100_2^3 + 4197/41*c_1100_2^2 + 792/41*c_1100_2 - 127/41, c_0011_11 - c_1100_2, c_0011_3 - 642/11*c_1100_2^4 - 54974/451*c_1100_2^3 - 4144/41*c_1100_2^2 - 7630/451*c_1100_2 + 2026/451, c_0101_0 - 1, c_0101_1 - 1, c_0101_10 - 642/11*c_1100_2^4 - 54974/451*c_1100_2^3 - 4144/41*c_1100_2^2 - 7630/451*c_1100_2 + 1575/451, c_0101_4 - 642/11*c_1100_2^4 - 54974/451*c_1100_2^3 - 4144/41*c_1100_2^2 - 8081/451*c_1100_2 + 1124/451, c_0101_9 - 1046/11*c_1100_2^4 - 89165/451*c_1100_2^3 - 6822/41*c_1100_2^2 - 13606/451*c_1100_2 + 2250/451, c_1001_11 + 642/11*c_1100_2^4 + 54974/451*c_1100_2^3 + 4144/41*c_1100_2^2 + 7630/451*c_1100_2 - 1575/451, c_1010_3 - 1, c_1100_2^5 + 103/41*c_1100_2^4 + 108/41*c_1100_2^3 + 43/41*c_1100_2^2 + 3/41*c_1100_2 - 1/41 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.230 seconds, Total memory usage: 32.09MB