Magma V2.19-8 Tue Aug 20 2013 23:53:33 on localhost [Seed = 3954016278] Type ? for help. Type -D to quit. Loading file "L13n6565__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n6565 geometric_solution 10.76387676 oriented_manifold CS_known -0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 1 2 3 0132 2103 0132 0132 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 0 -1 3 0 -4 1 -1 1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.670048794507 1.114181566509 0 0 5 4 0132 2103 0132 0132 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 0 1 -3 0 3 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 0.654663722458 0.514651947583 4 6 7 0 0132 0132 0132 0132 1 0 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 0 0 0 0 0 0 0 -4 0 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 0.055933991121 0.742160277787 5 8 0 9 2310 0132 0132 0132 1 0 0 1 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 3 1 -4 1 0 -1 0 -3 0 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.055933991121 0.742160277787 2 10 1 9 0132 0132 0132 2310 1 0 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 0 0 0 0 1 -1 0 4 0 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 1.843089456399 0.597647319267 6 6 3 1 0132 3201 3201 0132 1 0 1 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 3 -3 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.459471592090 0.554577345198 5 2 5 10 0132 0132 2310 2310 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 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 0.114135314548 1.069229292781 10 11 9 2 2310 0132 0132 0132 1 0 0 1 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 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.901290779825 0.924716334262 9 3 11 11 1023 0132 2103 0213 1 1 1 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 -3 3 0 4 0 -4 0 -3 0 0 3 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.114135314548 1.069229292781 4 8 3 7 3201 1023 0132 0132 1 0 1 0 0 1 -1 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 -4 4 0 0 0 0 0 0 3 0 -3 4 -1 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.114135314548 1.069229292781 6 4 7 11 3201 0132 3201 1302 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 0 0 0 0 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 0.654663722458 0.514651947583 8 7 10 8 2103 0132 2031 0213 1 1 1 0 0 0 0 0 -1 0 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 4 0 -1 -3 -3 3 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.459471592090 0.554577345198 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0110_10']), 'c_1001_10' : negation(d['c_0101_7']), 'c_1001_5' : negation(d['c_0101_1']), 'c_1001_4' : negation(d['c_1001_3']), 'c_1001_7' : negation(d['c_0110_11']), 'c_1001_6' : negation(d['c_0011_0']), 'c_1001_1' : d['c_0011_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : negation(d['c_0110_10']), 'c_1001_9' : d['c_0011_11'], 'c_1001_8' : d['c_0011_11'], 'c_1010_11' : negation(d['c_0110_11']), 'c_1010_10' : negation(d['c_1001_3']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0011_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' : 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_1100_8' : negation(d['c_0110_11']), 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : negation(d['c_0011_3']), 'c_1100_7' : d['c_1100_0'], 'c_1100_6' : d['c_0011_10'], 'c_1100_1' : negation(d['c_0011_3']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_1100_0'], 's_3_11' : d['1'], 'c_1100_9' : d['c_1100_0'], 'c_1100_11' : d['c_1001_3'], 'c_1100_10' : d['c_0011_11'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0110_10']), 'c_1010_6' : negation(d['c_0110_10']), 'c_1010_5' : d['c_0011_0'], 'c_1010_4' : negation(d['c_0101_7']), 'c_1010_3' : d['c_0011_11'], 'c_1010_2' : negation(d['c_0011_0']), 'c_1010_1' : negation(d['c_1001_3']), 'c_1010_0' : d['c_1001_3'], 'c_1010_9' : negation(d['c_0110_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'], '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' : negation(d['1']), 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_3']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_10'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : negation(d['c_0011_11']), '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' : d['c_0011_10'], 'c_0110_11' : d['c_0110_11'], 'c_0110_10' : d['c_0110_10'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_1'], 'c_0101_5' : negation(d['c_0101_10']), 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : negation(d['c_0101_10']), '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_0011_11'], 'c_0011_10' : d['c_0011_10'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_7'], 'c_0110_8' : negation(d['c_0110_11']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_10'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0101_10']), 'c_0110_7' : negation(d['c_0101_10']), 'c_0110_6' : negation(d['c_0101_10'])})} 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_7, c_0110_10, c_0110_11, c_1001_3, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 152/11*c_1100_0^7 + 323/11*c_1100_0^6 + 1096/11*c_1100_0^5 + 1296/11*c_1100_0^4 + 402/11*c_1100_0^3 + 654/11*c_1100_0^2 + 54/11*c_1100_0 - 48/11, c_0011_0 - 1, c_0011_10 - 42/11*c_1100_0^7 - 103/11*c_1100_0^6 - 337/11*c_1100_0^5 - 471/11*c_1100_0^4 - 270/11*c_1100_0^3 - 280/11*c_1100_0^2 - 109/11*c_1100_0 - 18/11, c_0011_11 + 10/11*c_1100_0^7 + 24/11*c_1100_0^6 + 75/11*c_1100_0^5 + 98/11*c_1100_0^4 + 25/11*c_1100_0^3 + 19/11*c_1100_0^2 - 6/11*c_1100_0 - 13/11, c_0011_3 + 39/11*c_1100_0^7 + 109/11*c_1100_0^6 + 342/11*c_1100_0^5 + 534/11*c_1100_0^4 + 367/11*c_1100_0^3 + 293/11*c_1100_0^2 + 146/11*c_1100_0 + 23/11, c_0101_0 - 1, c_0101_1 + 42/11*c_1100_0^7 + 103/11*c_1100_0^6 + 337/11*c_1100_0^5 + 471/11*c_1100_0^4 + 270/11*c_1100_0^3 + 280/11*c_1100_0^2 + 109/11*c_1100_0 + 18/11, c_0101_10 + 26/11*c_1100_0^7 + 58/11*c_1100_0^6 + 195/11*c_1100_0^5 + 246/11*c_1100_0^4 + 109/11*c_1100_0^3 + 144/11*c_1100_0^2 + 46/11*c_1100_0 + 19/11, c_0101_7 + c_1100_0, c_0110_10 + 39/11*c_1100_0^7 + 109/11*c_1100_0^6 + 342/11*c_1100_0^5 + 534/11*c_1100_0^4 + 367/11*c_1100_0^3 + 293/11*c_1100_0^2 + 146/11*c_1100_0 + 23/11, c_0110_11 + 33*c_1100_0^7 + 86*c_1100_0^6 + 276*c_1100_0^5 + 407*c_1100_0^4 + 257*c_1100_0^3 + 235*c_1100_0^2 + 102*c_1100_0 + 23, c_1001_3 - 42/11*c_1100_0^7 - 103/11*c_1100_0^6 - 337/11*c_1100_0^5 - 471/11*c_1100_0^4 - 270/11*c_1100_0^3 - 280/11*c_1100_0^2 - 98/11*c_1100_0 - 18/11, c_1100_0^8 + 4*c_1100_0^7 + 12*c_1100_0^6 + 24*c_1100_0^5 + 25*c_1100_0^4 + 18*c_1100_0^3 + 13*c_1100_0^2 + 5*c_1100_0 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.070 Total time: 0.280 seconds, Total memory usage: 32.09MB