Magma V2.19-8 Wed Aug 21 2013 01:05:53 on localhost [Seed = 2227346474] Type ? for help. Type -D to quit. Loading file "L14n29100__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n29100 degenerate_solution 8.35550215 oriented_manifold CS_unknown 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 -4 0 1 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.274626805963 0.502355311671 0 5 2 4 0132 0132 3120 2103 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 4 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.209551031871 0.704047340366 5 0 1 6 0132 0132 3120 0132 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 -4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.307484305158 0.475367084528 7 8 7 0 0132 0132 3120 0132 1 1 1 1 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 4 -3 -1 0 0 1 -1 3 -3 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.832486006930 0.495391185731 8 7 0 1 0321 2310 0132 2103 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 -1 1 0 3 0 -3 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 0.612909471469 0.527884943556 2 1 8 7 0132 0132 2031 0321 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 4 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -2.969090097425 2.970571646524 9 10 2 8 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.526279049355 1.172404354808 3 5 3 4 0132 0321 3120 3201 1 1 1 1 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 -1 1 -1 0 0 1 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.832486006930 0.495391185731 4 3 6 5 0321 0132 2031 1302 1 1 1 1 0 1 0 -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 -4 0 4 0 0 0 0 -1 1 0 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.564588691268 1.143851085517 6 11 10 10 0132 0132 1230 1302 0 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 -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 -0.740544372284 0.479310938452 12 6 9 9 0132 0132 2031 3012 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 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 -0.740544372284 0.479310938452 12 9 12 12 1023 0132 1230 1302 0 1 1 1 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 -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 1.000000000000 0.000000000000 10 11 11 11 0132 1023 2031 3012 1 0 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 -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 1.000000000000 0.000000000000 ==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_5']), 'c_1001_12' : d['c_0101_11'], 'c_1001_5' : d['c_0011_4'], 'c_1001_4' : negation(d['c_1001_1']), 'c_1001_7' : negation(d['c_1001_3']), 'c_1001_6' : negation(d['c_0101_9']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : negation(d['c_0101_9']), 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : negation(d['c_1001_1']), 'c_1001_9' : d['c_1001_11'], 'c_1001_8' : negation(d['c_0101_9']), 'c_1010_12' : negation(d['c_0101_11']), 'c_1010_11' : d['c_1001_11'], 'c_1010_10' : negation(d['c_0101_9']), 's_3_11' : d['1'], 's_0_11' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : 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' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : negation(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' : negation(d['1']), 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : d['c_0101_10'], 'c_1100_8' : d['c_0101_5'], 'c_0011_12' : negation(d['c_0011_10']), 'c_1100_5' : negation(d['c_1001_3']), 'c_1100_4' : negation(d['c_0101_0']), 'c_1100_7' : negation(d['c_0011_4']), 'c_1100_6' : negation(d['c_0101_1']), 'c_1100_1' : negation(d['c_0011_3']), 'c_1100_0' : negation(d['c_0101_0']), 'c_1100_3' : negation(d['c_0101_0']), 'c_1100_2' : negation(d['c_0101_1']), 's_0_10' : d['1'], 'c_1100_11' : d['c_0101_10'], 'c_1100_10' : negation(d['c_1001_11']), 's_3_10' : d['1'], 'c_1010_7' : d['c_1001_1'], 'c_1010_6' : negation(d['c_0101_5']), 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : negation(d['c_0011_4']), 'c_1010_3' : negation(d['c_0101_9']), 'c_1010_2' : negation(d['c_0101_9']), 'c_1010_1' : d['c_0011_4'], 'c_1010_0' : negation(d['c_1001_1']), 'c_1010_9' : d['c_1001_11'], 'c_1010_8' : d['c_1001_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'], 'c_1100_12' : negation(d['c_1001_11']), '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_10'], 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_3']), 'c_0011_6' : negation(d['c_0011_10']), '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' : negation(d['c_0101_11']), 'c_0110_10' : d['c_0101_10'], 'c_0110_12' : d['c_0101_10'], 'c_0101_12' : d['c_0101_10'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_0'], 'c_0101_6' : d['c_0101_5'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0011_4'], 'c_0101_2' : d['c_0011_3'], '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_1']), 'c_0011_10' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_5'], 'c_0110_8' : negation(d['c_0011_4']), 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : negation(d['c_0011_10']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_5'], 'c_0110_5' : d['c_0011_3'], 'c_0110_4' : d['c_0011_3'], 'c_0110_7' : d['c_0011_4'], 'c_0110_6' : d['c_0101_9']})} 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_3, c_0011_4, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_5, c_0101_9, c_1001_1, c_1001_11, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 2 Groebner basis: [ t - 46862871/383116*c_1001_3 - 35158517/383116, c_0011_0 - 1, c_0011_10 + 26*c_1001_3 - 9, c_0011_3 + c_1001_3, c_0011_4 - c_1001_3, c_0101_0 - 6*c_1001_3 + 2, c_0101_1 - 2*c_1001_3 + 1, c_0101_10 + 1, c_0101_11 + 13*c_1001_3 - 9/2, c_0101_5 + 14*c_1001_3 - 5, c_0101_9 - 12*c_1001_3 + 4, c_1001_1 - 4*c_1001_3 + 1, c_1001_11 - 1, c_1001_3^2 - 7/11*c_1001_3 + 1/11 ], Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_4, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_5, c_0101_9, c_1001_1, c_1001_11, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t - 2081201640089019/574975472724224*c_1001_3^3 + 11457644103499985/1149950945448448*c_1001_3^2 - 38978750113365631/1149950945448448*c_1001_3 + 1821056544910505/1149950945448448, c_0011_0 - 1, c_0011_10 + 14434/36697*c_1001_3^3 - 5365/36697*c_1001_3^2 + 65153/36697*c_1001_3 + 54764/36697, c_0011_3 + 1204/36697*c_1001_3^3 - 4434/36697*c_1001_3^2 - 3001/36697*c_1001_3 + 11758/36697, c_0011_4 + 602/36697*c_1001_3^3 - 2217/36697*c_1001_3^2 + 16848/36697*c_1001_3 + 5879/36697, c_0101_0 + 4060/36697*c_1001_3^3 - 3004/36697*c_1001_3^2 + 19750/36697*c_1001_3 + 8926/36697, c_0101_1 + 1806/36697*c_1001_3^3 - 6651/36697*c_1001_3^2 + 13847/36697*c_1001_3 - 19060/36697, c_0101_10 + 1, c_0101_11 + 7217/36697*c_1001_3^3 - 5365/73394*c_1001_3^2 + 65153/73394*c_1001_3 + 27382/36697, c_0101_5 + 6314/36697*c_1001_3^3 + 643/36697*c_1001_3^2 + 25653/36697*c_1001_3 + 36912/36697, c_0101_9 - 8120/36697*c_1001_3^3 + 6008/36697*c_1001_3^2 - 39500/36697*c_1001_3 - 17852/36697, c_1001_1 - 3612/36697*c_1001_3^3 + 13302/36697*c_1001_3^2 - 27694/36697*c_1001_3 + 1423/36697, c_1001_11 - 1, c_1001_3^4 - 33/14*c_1001_3^3 + 125/14*c_1001_3^2 + 3/2*c_1001_3 + 41/7 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.160 Total time: 0.370 seconds, Total memory usage: 32.09MB