Magma V2.19-8 Wed Aug 21 2013 01:04:57 on localhost [Seed = 1595492158] Type ? for help. Type -D to quit. Loading file "L14n24854__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n24854 geometric_solution 11.49317270 oriented_manifold CS_known -0.0000000000000003 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 0 0 2 0132 1230 3012 0132 0 0 0 0 0 0 1 -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 -3 3 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 1.164426154719 1.305344693877 0 3 4 2 0132 0132 0132 2031 1 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 1 0 -1 0 0 1 -1 3 0 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.565998154166 0.254854853615 5 1 0 6 0132 1302 0132 0132 0 0 1 0 0 0 1 -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 1 -3 2 0 0 0 0 0 1 0 -1 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.272906366076 0.600034408088 6 1 7 8 3201 0132 0132 0132 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 -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 1.029020440286 1.171012108881 7 8 5 1 2310 0132 3120 0132 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 1 0 0 -1 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.916635163901 1.024104318918 2 9 4 10 0132 0132 3120 0132 1 0 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 0 0 0 0 0 0 0 0 0 0 0 3 -2 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.038895260014 0.866796052902 11 11 2 3 0132 1302 0132 2310 0 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 0 0 0 0 0 0 0 0 0 0 0 2 -2 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 0.510018121679 0.451595006594 11 9 4 3 2310 2031 3201 0132 1 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 1 -1 0 0 0 0 -2 2 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.371868446061 0.612811142940 12 4 3 12 0132 0132 0132 3201 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 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 0.129872325605 0.773466600493 7 5 12 10 1302 0132 0132 2103 1 0 1 0 0 0 -1 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 4 -4 -1 0 1 0 0 0 0 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.745332982100 0.707536947941 11 12 5 9 1023 3201 0132 2103 1 0 1 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 0 0 1 -5 0 4 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.951265035592 0.917971254069 6 10 7 6 0132 1023 3201 2031 0 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 2 -2 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.103512357841 1.017059390488 8 8 10 9 0132 2310 2310 0132 1 0 0 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 5 -4 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 0.768446843990 0.727986611261 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_1'], 'c_1001_10' : negation(d['c_0101_12']), 'c_1001_12' : d['c_1001_12'], 'c_1001_5' : d['c_1001_12'], 'c_1001_4' : negation(d['c_1001_12']), 'c_1001_7' : negation(d['c_0101_4']), 'c_1001_6' : d['c_0101_5'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0011_2'], 'c_1001_2' : d['c_0101_0'], 'c_1001_9' : negation(d['c_0101_12']), 'c_1001_8' : d['c_1001_1'], 'c_1010_12' : negation(d['c_0101_12']), 'c_1010_11' : negation(d['c_0011_10']), 'c_1010_10' : negation(d['c_1001_12']), 's_0_10' : negation(d['1']), 's_0_11' : negation(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_1'], 's_2_0' : negation(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' : negation(d['1']), 's_2_7' : d['1'], 's_2_12' : d['1'], 's_2_10' : negation(d['1']), 's_2_11' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : negation(d['1']), 's_0_7' : d['1'], 's_0_4' : d['1'], 's_0_5' : negation(d['1']), 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : d['c_0011_10'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0101_4']), 'c_1100_4' : negation(d['c_0101_5']), 'c_1100_7' : negation(d['c_0011_12']), 'c_1100_6' : d['c_0011_0'], 'c_1100_1' : negation(d['c_0101_5']), 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : negation(d['c_0011_12']), 'c_1100_2' : d['c_0011_0'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0011_7']), 'c_1100_10' : negation(d['c_0101_4']), 's_3_10' : d['1'], 'c_1010_7' : d['c_0011_2'], 'c_1010_6' : d['c_0011_7'], 'c_1010_5' : negation(d['c_0101_12']), 'c_1010_4' : d['c_1001_1'], 'c_1010_3' : d['c_1001_1'], 'c_1010_2' : d['c_0101_5'], 'c_1010_1' : d['c_0011_2'], 'c_1010_0' : d['c_0101_0'], 'c_1010_9' : d['c_1001_12'], 'c_1010_8' : negation(d['c_1001_12']), 'c_1100_8' : negation(d['c_0011_12']), 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : negation(d['1']), 's_3_5' : negation(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' : d['c_0011_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' : d['1'], 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_2'], 'c_0011_8' : negation(d['c_0011_12']), 'c_0011_5' : negation(d['c_0011_2']), 'c_0011_4' : d['c_0011_12'], 'c_0011_7' : d['c_0011_7'], '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_0'], 'c_0011_2' : d['c_0011_2'], 'c_0110_11' : d['c_0101_5'], 'c_0110_10' : negation(d['c_0011_10']), 'c_0110_12' : negation(d['c_0011_7']), 'c_0101_12' : d['c_0101_12'], 'c_0011_11' : d['c_0011_10'], 'c_0101_7' : negation(d['c_0101_1']), 'c_0101_6' : d['c_0101_5'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0101_11']), 'c_0101_2' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_7']), 'c_0101_8' : negation(d['c_0011_7']), 's_1_12' : d['1'], 's_1_11' : negation(d['1']), 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_4'], 'c_0110_8' : d['c_0101_12'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0011_7']), 'c_0110_2' : d['c_0101_5'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_1'], 'c_0110_7' : negation(d['c_0101_11']), 'c_0110_6' : d['c_0101_11']})} 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_12, c_0011_2, c_0011_7, c_0101_0, c_0101_1, c_0101_11, c_0101_12, c_0101_4, c_0101_5, c_1001_1, c_1001_12 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t - 67153157929984/995707*c_1001_12^6 - 117337910603264/995707*c_1001_12^5 - 5152358156544/58571*c_1001_12^4 - 34210848421120/995707*c_1001_12^3 - 7485472180992/995707*c_1001_12^2 - 754221779520/995707*c_1001_12 - 51751326176/995707, c_0011_0 - 1, c_0011_10 + 31521504/58571*c_1001_12^6 + 45635264/58571*c_1001_12^5 + 24510568/58571*c_1001_12^4 + 4197292/58571*c_1001_12^3 - 820684/58571*c_1001_12^2 - 471280/58571*c_1001_12 - 54139/58571, c_0011_12 + 12413856/58571*c_1001_12^6 + 26229616/58571*c_1001_12^5 + 22698440/58571*c_1001_12^4 + 10788348/58571*c_1001_12^3 + 2851518/58571*c_1001_12^2 + 460691/58571*c_1001_12 + 57709/117142, c_0011_2 - 43507296/58571*c_1001_12^6 - 83627904/58571*c_1001_12^5 - 68287424/58571*c_1001_12^4 - 29139236/58571*c_1001_12^3 - 6694934/58571*c_1001_12^2 - 755145/58571*c_1001_12 - 16134/58571, c_0011_7 + 32935056/58571*c_1001_12^6 + 88790832/58571*c_1001_12^5 + 106304424/58571*c_1001_12^4 + 69075048/58571*c_1001_12^3 + 25448549/58571*c_1001_12^2 + 5109302/58571*c_1001_12 + 1725945/234284, c_0101_0 - 81068736/58571*c_1001_12^6 - 160086752/58571*c_1001_12^5 - 138607344/58571*c_1001_12^4 - 63605048/58571*c_1001_12^3 - 15566836/58571*c_1001_12^2 - 1517392/58571*c_1001_12 + 18040/58571, c_0101_1 + 137510464/58571*c_1001_12^6 + 275318912/58571*c_1001_12^5 + 231982496/58571*c_1001_12^4 + 100694768/58571*c_1001_12^3 + 22685128/58571*c_1001_12^2 + 1878384/58571*c_1001_12 - 96045/58571, c_0101_11 - 6511120/58571*c_1001_12^6 - 14595664/58571*c_1001_12^5 - 22156248/58571*c_1001_12^4 - 19016584/58571*c_1001_12^3 - 9077637/58571*c_1001_12^2 - 2215156/58571*c_1001_12 - 922597/234284, c_0101_12 + 31093440/58571*c_1001_12^6 + 57398288/58571*c_1001_12^5 + 45588984/58571*c_1001_12^4 + 18350888/58571*c_1001_12^3 + 3843416/58571*c_1001_12^2 + 294454/58571*c_1001_12 - 25441/117142, c_0101_4 - 428064/58571*c_1001_12^6 + 11763024/58571*c_1001_12^5 + 21078416/58571*c_1001_12^4 + 14153596/58571*c_1001_12^3 + 4664100/58571*c_1001_12^2 + 765734/58571*c_1001_12 + 82837/117142, c_0101_5 + 194432/1583*c_1001_12^6 + 153264/1583*c_1001_12^5 + 28944/1583*c_1001_12^4 - 15908/1583*c_1001_12^3 - 11154/1583*c_1001_12^2 - 3976/1583*c_1001_12 + 189/1583, c_1001_1 - 1, c_1001_12^7 + 106/49*c_1001_12^6 + 199/98*c_1001_12^5 + 103/98*c_1001_12^4 + 253/784*c_1001_12^3 + 45/784*c_1001_12^2 + 17/3136*c_1001_12 + 1/3136 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.340 Total time: 0.550 seconds, Total memory usage: 32.09MB