Magma V2.19-8 Wed Aug 21 2013 00:59:40 on localhost [Seed = 2968955891] Type ? for help. Type -D to quit. Loading file "L13n7373__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n7373 geometric_solution 12.37001876 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 0 0 2 2 0 -1 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 1 -1 0 0 0 0 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 0.780033789134 2.141656351597 0 4 2 5 0132 1023 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.307229782131 0.792101879447 3 0 6 1 1023 0132 0132 0132 0 0 2 2 0 1 -1 0 -2 0 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 -1 1 0 1 0 -1 0 0 -1 0 1 6 -1 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.307229782131 0.792101879447 4 2 7 0 1023 1023 0132 0132 0 0 2 2 0 2 0 -2 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 0 1 0 0 0 0 0 0 0 0 0 -6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.185889168687 0.757142772791 1 3 0 8 1023 1023 0132 0132 0 0 2 2 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 0 0 0 0 0 0.185889168687 0.757142772791 8 6 1 9 1023 1023 0132 0132 0 0 2 2 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 0 0 0 0 -5 5 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.380459093798 0.671982688797 5 7 10 2 1023 1023 0132 0132 0 0 2 2 0 0 -1 1 0 0 2 -2 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 0 1 -1 0 0 -1 1 -5 0 0 5 1 5 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.380459093798 0.671982688797 6 11 8 3 1023 0132 0132 0132 0 0 2 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 0 0 0 6 0 -6 -5 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.307229782131 0.792101879447 12 5 4 7 0132 1023 0132 0132 0 0 2 2 0 -1 1 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 0 0 0 5 0 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.307229782131 0.792101879447 11 11 5 10 3012 0213 0132 0132 0 0 1 2 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.965068707543 1.179798147122 12 12 9 6 3120 1230 0132 0132 0 0 2 1 0 -1 0 1 1 0 1 -2 0 1 0 -1 -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 -6 0 6 1 -2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.965068707543 1.179798147122 12 7 9 9 1023 0132 0213 1230 0 1 2 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 1 0 -1 0 0 0 0 0 6 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.965068707543 1.179798147122 8 11 10 10 0132 1023 3012 3120 1 0 2 2 0 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 -1 2 -1 0 0 -1 1 0 0 0 0 0 -6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.965068707543 1.179798147122 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_2'], 'c_1001_10' : d['c_0101_10'], 'c_1001_12' : negation(d['c_0011_10']), 'c_1001_5' : d['c_0101_6'], 'c_1001_4' : d['c_0101_3'], 'c_1001_7' : d['c_0101_9'], 'c_1001_6' : d['c_0101_12'], 'c_1001_1' : d['c_0101_1'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_0101_2'], 'c_1001_2' : d['c_0101_3'], 'c_1001_9' : d['c_0101_2'], 'c_1001_8' : d['c_0101_0'], 'c_1010_12' : negation(d['c_0011_10']), 'c_1010_11' : d['c_0101_9'], 'c_1010_10' : d['c_0101_12'], 's_0_10' : 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' : negation(d['c_0011_10']), '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' : 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' : 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_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_11'], 'c_1100_5' : d['c_1100_1'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_1100_0'], 'c_1100_6' : d['c_1100_1'], 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_1100_1'], 's_3_11' : d['1'], 'c_1100_9' : d['c_1100_1'], 'c_1100_11' : d['c_0101_10'], 'c_1100_10' : d['c_1100_1'], 's_3_10' : d['1'], 'c_1010_7' : d['c_0101_2'], 'c_1010_6' : d['c_0101_3'], 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : d['c_0101_0'], 'c_1010_3' : d['c_0101_1'], 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : d['c_0101_6'], 'c_1010_0' : d['c_0101_3'], 'c_1010_9' : d['c_0101_10'], 'c_1010_8' : d['c_0101_9'], 'c_1100_8' : d['c_1100_0'], 's_3_1' : d['1'], 's_3_0' : negation(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_0101_10']), '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' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_10']), 'c_0011_8' : negation(d['c_0011_11']), 'c_0011_5' : negation(d['c_0011_11']), 'c_0011_4' : negation(d['c_0011_0']), 'c_0011_7' : negation(d['c_0011_11']), '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' : negation(d['c_0011_0']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0011_10']), 'c_0110_10' : d['c_0101_6'], 'c_0110_12' : d['c_0101_6'], 'c_0101_12' : d['c_0101_12'], 'c_0101_7' : d['c_0101_12'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0101_6'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_10'], 'c_0110_8' : d['c_0101_12'], '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_1'], 'c_0110_5' : d['c_0101_9'], 'c_0110_4' : d['c_0101_6'], 'c_0110_7' : d['c_0101_3'], 'c_0110_6' : d['c_0101_2']})} 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_2, c_0101_3, c_0101_6, c_0101_9, c_1100_0, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 235460790179/1020337641*c_1100_1^5 - 4578402092642/1020337641*c_1100_1^4 - 24404591599798/1020337641*c_1100_1^3 - 8510275923499/1020337641*c_1100_1^2 + 983047202831/113370849*c_1100_1 - 4725788933339/1020337641, c_0011_0 - 1, c_0011_10 + 1, c_0011_11 - 46961/340453*c_1100_1^5 - 901808/340453*c_1100_1^4 - 4643080/340453*c_1100_1^3 - 425994/340453*c_1100_1^2 + 2827504/340453*c_1100_1 - 895783/340453, c_0101_0 - 1, c_0101_1 + 26376/340453*c_1100_1^5 + 506935/340453*c_1100_1^4 + 2617782/340453*c_1100_1^3 + 328724/340453*c_1100_1^2 - 1192850/340453*c_1100_1 + 396357/340453, c_0101_10 - 11309/340453*c_1100_1^5 - 218606/340453*c_1100_1^4 - 1157331/340453*c_1100_1^3 - 425894/340453*c_1100_1^2 - 45364/340453*c_1100_1 - 105546/340453, c_0101_12 + 23710/340453*c_1100_1^5 + 459284/340453*c_1100_1^4 + 2425210/340453*c_1100_1^3 + 659391/340453*c_1100_1^2 - 1322638/340453*c_1100_1 + 326168/340453, c_0101_2 - 21317/340453*c_1100_1^5 - 417151/340453*c_1100_1^4 - 2260275/340453*c_1100_1^3 - 1027072/340453*c_1100_1^2 + 954635/340453*c_1100_1 + 55705/340453, c_0101_3 + 1, c_0101_6 + 21317/340453*c_1100_1^5 + 417151/340453*c_1100_1^4 + 2260275/340453*c_1100_1^3 + 1027072/340453*c_1100_1^2 - 954635/340453*c_1100_1 - 55705/340453, c_0101_9 - 23710/340453*c_1100_1^5 - 459284/340453*c_1100_1^4 - 2425210/340453*c_1100_1^3 - 659391/340453*c_1100_1^2 + 1322638/340453*c_1100_1 - 326168/340453, c_1100_0 + 5059/340453*c_1100_1^5 + 89784/340453*c_1100_1^4 + 357507/340453*c_1100_1^3 - 698348/340453*c_1100_1^2 - 238215/340453*c_1100_1 + 452062/340453, c_1100_1^6 + 19*c_1100_1^5 + 95*c_1100_1^4 - 10*c_1100_1^3 - 54*c_1100_1^2 + 37*c_1100_1 - 9 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.230 seconds, Total memory usage: 32.09MB