Magma V2.19-8 Wed Aug 21 2013 00:59:16 on localhost [Seed = 1157848601] Type ? for help. Type -D to quit. Loading file "L13n6783__sl2_c4.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n6783 geometric_solution 12.07406134 oriented_manifold CS_known -0.0000000000000004 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 2 0132 0132 0132 0213 2 2 1 2 0 0 0 0 -1 0 0 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 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 0 0 0 0.344478603053 0.809883618634 0 4 6 5 0132 0132 0132 0132 1 2 2 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 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 0 0 0 0.516614779947 0.398027446995 7 0 5 0 0132 0132 1230 0213 2 1 2 1 0 0 0 0 0 0 1 -1 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 -1 1 0 0 0 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 0.344478603053 0.809883618634 6 8 8 0 0132 0132 0321 0132 2 2 2 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 4 0 -4 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 0.055268733379 1.045581828126 9 1 10 9 0132 0132 0132 1302 1 1 1 2 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 -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 1.347274954196 1.416818241188 6 10 1 2 2103 3012 0132 3012 1 2 1 2 0 0 0 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 0 0 0 -4 0 3 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 0.957580189991 1.340779659686 3 9 5 1 0132 1302 2103 0132 1 2 1 2 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 1 -1 0 -4 0 4 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 0.725915842834 0.882968272115 2 9 8 11 0132 0132 2103 0132 1 1 1 2 0 0 0 0 0 0 0 0 1 -1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.344211495603 0.633340313144 7 3 3 10 2103 0132 0321 2031 2 1 1 2 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 -1 0 1 0 0 0 0 0 0 0 0 -3 -1 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.055268733379 1.045581828126 4 7 4 6 0132 0132 2031 2031 1 1 2 1 0 0 0 0 1 0 0 -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 1 0 0 -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 0.230529629100 1.385606311577 5 8 12 4 1230 1302 0132 0132 1 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 0 0 0 0 0 0 0 1 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 0.511786623139 0.372544444628 12 12 7 12 0132 1230 0132 2031 1 1 0 1 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 0 0 1 -1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.294509259323 0.987810363125 11 11 11 10 0132 1302 3012 0132 1 1 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 -1 1 -1 1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.722816123669 0.929699480961 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_1'], 'c_1001_11' : negation(d['c_0101_9']), 'c_1001_10' : d['c_0110_8'], 'c_1001_12' : negation(d['c_0011_11']), 'c_1001_5' : negation(d['c_0011_10']), 'c_1001_4' : negation(d['c_0011_10']), 'c_1001_7' : negation(d['c_0011_3']), 'c_1001_6' : d['c_0011_5'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0011_10'], 'c_1001_2' : d['c_0110_5'], 'c_1001_9' : negation(d['c_0101_9']), 'c_1001_8' : d['c_1001_0'], 'c_1010_12' : d['c_0110_8'], 'c_1010_11' : negation(d['c_0011_11']), 'c_1010_10' : negation(d['c_0011_10']), 's_3_11' : negation(d['1']), 's_0_11' : d['1'], 's_0_12' : d['1'], 's_3_12' : negation(d['1']), 's_2_8' : d['1'], 'c_0101_12' : negation(d['c_0011_11']), 'c_0101_11' : d['c_0101_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' : negation(d['1']), 's_2_11' : negation(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' : negation(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' : d['c_0011_10'], 'c_0011_12' : negation(d['c_0011_11']), 'c_1100_5' : negation(d['c_0110_5']), 'c_1100_4' : d['c_0101_9'], 'c_1100_7' : negation(d['c_0110_8']), 'c_1100_6' : negation(d['c_0110_5']), 'c_1100_1' : negation(d['c_0110_5']), 'c_1100_0' : d['c_1001_0'], 'c_1100_3' : d['c_1001_0'], 'c_1100_2' : d['c_0110_5'], 's_0_10' : d['1'], 'c_1100_11' : negation(d['c_0110_8']), 'c_1100_10' : d['c_0101_9'], 's_3_10' : negation(d['1']), 'c_1010_7' : negation(d['c_0101_9']), 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : negation(d['c_0101_10']), 'c_1010_4' : d['c_1001_1'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0011_10']), 'c_1010_0' : d['c_0110_5'], 'c_1010_9' : negation(d['c_0011_3']), 'c_1010_8' : d['c_0011_10'], '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' : negation(d['1']), 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : d['c_0101_9'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : negation(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_0']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : negation(d['c_0011_3']), '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_0011_11']), 'c_0110_10' : d['c_0011_5'], 'c_0110_12' : d['c_0101_10'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : negation(d['c_0101_1']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0011_5'], '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_0101_1']), 's_1_12' : negation(d['1']), 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_5'], 'c_0110_8' : d['c_0110_8'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_1001_1']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_1']), 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0101_9'], 'c_0110_7' : d['c_0101_10'], 'c_0011_10' : d['c_0011_10'], 's_2_9' : d['1']})} 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_0011_3, c_0011_5, c_0101_0, c_0101_1, c_0101_10, c_0101_9, c_0110_5, c_0110_8, c_1001_0, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 5 Groebner basis: [ t + 490963241011502088515/392160931399679112*c_1001_1^4 - 2514409367666482956557/392160931399679112*c_1001_1^3 + 6550512741309464621657/392160931399679112*c_1001_1^2 - 6050412181850187100277/392160931399679112*c_1001_1 + 450182402147621792731/49020116424959889, c_0011_0 - 1, c_0011_10 - 71136730/360622739*c_1001_1^4 + 349088680/360622739*c_1001_1^3 - 761221542/360622739*c_1001_1^2 + 509359612/360622739*c_1001_1 + 242644874/360622739, c_0011_11 - 1, c_0011_3 - 56775320/360622739*c_1001_1^4 + 349087217/360622739*c_1001_1^3 - 930882704/360622739*c_1001_1^2 + 643088539/360622739*c_1001_1 + 122657835/360622739, c_0011_5 - 58898/360622739*c_1001_1^4 + 8078920/360622739*c_1001_1^3 - 42474587/360622739*c_1001_1^2 - 94384915/360622739*c_1001_1 + 251826777/360622739, c_0101_0 - 1, c_0101_1 - 85733732/360622739*c_1001_1^4 + 381405823/360622739*c_1001_1^3 - 761458728/360622739*c_1001_1^2 - 1908975/360622739*c_1001_1 - 72551935/360622739, c_0101_10 - 102826892/360622739*c_1001_1^4 + 315088121/360622739*c_1001_1^3 - 468880759/360622739*c_1001_1^2 - 650264045/360622739*c_1001_1 - 157528594/360622739, c_0101_9 - 73515092/360622739*c_1001_1^4 + 234295995/360622739*c_1001_1^3 - 383457213/360622739*c_1001_1^2 - 160202519/360622739*c_1001_1 - 30788530/360622739, c_0110_5 + 58859192/360622739*c_1001_1^4 - 193899932/360622739*c_1001_1^3 + 340745440/360622739*c_1001_1^2 + 275794495/360622739*c_1001_1 - 32581502/360622739, c_0110_8 + 176341984/360622739*c_1001_1^4 - 549384116/360622739*c_1001_1^3 + 852337972/360622739*c_1001_1^2 + 810466564/360622739*c_1001_1 + 188317124/360622739, c_1001_0 - 5785381/360622739*c_1001_1^4 + 29120854/360622739*c_1001_1^3 + 44609471/360622739*c_1001_1^2 - 303293043/360622739*c_1001_1 + 397184719/360622739, c_1001_1^5 - 226/49*c_1001_1^4 + 526/49*c_1001_1^3 - 271/49*c_1001_1^2 + 52/49*c_1001_1 + 183/49 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.070 Total time: 0.280 seconds, Total memory usage: 32.09MB