Magma V2.19-8 Wed Aug 21 2013 01:11:14 on localhost [Seed = 1326012039] Type ? for help. Type -D to quit. Loading file "L14n56942__sl2_c7.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n56942 geometric_solution 11.97345298 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 2 2 1 1 0 0 -1 1 -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 -1 0 1 -1 0 1 0 -2 -1 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.731343301539 1.118950570806 0 5 4 6 0132 0132 3012 0132 1 2 1 1 0 -1 1 0 1 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 2 -2 0 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 0.944001168055 0.548063500851 7 0 3 7 0132 0132 0213 0213 2 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 1 0 -1 -1 0 0 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 0.435861159640 0.507729714883 8 2 6 0 0132 0213 1230 0132 2 2 1 1 0 0 -1 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 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 0.435861159640 0.507729714883 9 1 0 9 0132 1230 0132 1023 2 2 1 1 0 1 -1 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 1 -1 0 0 0 0 0 0 0 0 0 1 2 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.065721375388 1.044891517755 10 1 10 10 0132 0132 3120 2103 1 0 1 1 0 1 0 -1 -1 0 1 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 -2 0 2 1 0 -2 1 0 2 0 -2 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.740758317421 0.707256738802 8 11 1 3 2103 0132 0132 3012 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 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 0.967535236481 0.654632522610 2 12 8 2 0132 0132 0213 0213 2 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 -1 1 1 0 0 -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 0.435861159640 0.507729714883 3 7 6 12 0132 0213 2103 0132 2 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.435861159640 0.507729714883 4 11 12 4 0132 3012 0132 1023 2 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 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 1.065721375388 1.044891517755 5 11 5 5 0132 2310 3120 2103 1 0 1 1 0 0 1 -1 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 -2 2 -1 0 2 -1 2 0 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.740758317421 0.707256738802 9 6 12 10 1230 0132 3201 3201 1 1 1 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 -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 0.944001168055 0.548063500851 11 7 8 9 2310 0132 0132 0132 2 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 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 0.731343301539 1.118950570806 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0110_6'], 'c_1001_11' : negation(d['c_0101_12']), 'c_1001_10' : d['c_1001_10'], 'c_1001_12' : d['c_1001_0'], 'c_1001_5' : negation(d['c_1001_10']), 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : negation(d['c_0011_11']), 'c_1001_6' : negation(d['c_1001_10']), 'c_1001_1' : negation(d['c_0011_4']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_0011_11']), 'c_1001_8' : negation(d['c_0011_11']), 'c_1010_12' : negation(d['c_0011_11']), 'c_1010_11' : negation(d['c_1001_10']), 'c_1010_10' : d['c_0011_4'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : negation(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' : 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' : negation(d['1']), 's_2_10' : d['1'], 's_2_11' : negation(d['1']), 's_0_8' : negation(d['1']), 's_0_9' : negation(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' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_11' : d['c_0011_11'], 'c_0011_10' : negation(d['c_0011_0']), 'c_0011_12' : negation(d['c_0011_0']), 'c_1100_5' : negation(d['c_0101_10']), 'c_1100_4' : d['c_0110_6'], 'c_1100_7' : d['c_1001_0'], 'c_1100_6' : negation(d['c_1001_2']), 'c_1100_1' : negation(d['c_1001_2']), 'c_1100_0' : d['c_0110_6'], 'c_1100_3' : d['c_0110_6'], 'c_1100_2' : d['c_1001_0'], 's_3_11' : d['1'], 'c_1100_11' : d['c_0011_0'], 'c_1100_10' : negation(d['c_0101_10']), 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_0'], 'c_1010_6' : negation(d['c_0101_12']), 'c_1010_5' : negation(d['c_0011_4']), 'c_1010_4' : d['c_0101_1'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_1001_10']), 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : negation(d['c_0101_11']), 'c_1010_8' : d['c_1001_0'], 's_3_1' : negation(d['1']), 's_3_0' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : negation(d['1']), 's_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : negation(d['1']), 's_3_8' : negation(d['1']), 'c_1100_12' : negation(d['c_0110_6']), 's_1_7' : d['1'], 's_1_6' : negation(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' : negation(d['c_0011_4']), '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' : d['c_0011_0'], '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' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0011_4']), 'c_0110_10' : d['c_0101_10'], 'c_0110_12' : negation(d['c_0101_11']), 'c_0101_12' : d['c_0101_12'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : negation(d['c_0011_3']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_10'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_12'], 'c_0101_2' : d['c_0011_3'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0101_11']), 'c_0101_8' : d['c_0101_0'], 's_1_12' : d['1'], 's_1_11' : negation(d['1']), 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_1'], 'c_0110_8' : d['c_0101_12'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0110_6']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_3']), 'c_0110_5' : d['c_0101_10'], 'c_0110_4' : negation(d['c_0101_11']), 'c_0110_7' : d['c_0011_3'], 'c_1100_8' : negation(d['c_0110_6'])})} 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_11, c_0011_3, c_0011_4, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_12, c_0110_6, c_1001_0, c_1001_10, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t + 31564131/23581025*c_1001_2^8 - 839424601/47162050*c_1001_2^7 + 1430474776/23581025*c_1001_2^6 - 56569429/637325*c_1001_2^5 + 1376088903/23581025*c_1001_2^4 + 319571433/47162050*c_1001_2^3 - 237699987/4716205*c_1001_2^2 + 1553628173/47162050*c_1001_2 - 179543101/23581025, c_0011_0 - 1, c_0011_11 + c_1001_2, c_0011_3 + 41145/290228*c_1001_2^8 - 128376/72557*c_1001_2^7 + 1412347/290228*c_1001_2^6 - 31713/7844*c_1001_2^5 - 216331/290228*c_1001_2^4 + 526639/145114*c_1001_2^3 - 784773/290228*c_1001_2^2 - 415121/290228*c_1001_2 + 104432/72557, c_0011_4 - 77493/580456*c_1001_2^8 + 971335/580456*c_1001_2^7 - 2711475/580456*c_1001_2^6 + 31369/7844*c_1001_2^5 + 68287/72557*c_1001_2^4 - 2412015/580456*c_1001_2^3 + 2138423/580456*c_1001_2^2 + 462413/290228*c_1001_2 - 1336743/580456, c_0101_0 - 1, c_0101_1 - 8308/72557*c_1001_2^8 + 101851/72557*c_1001_2^7 - 267947/72557*c_1001_2^6 + 6333/1961*c_1001_2^5 + 21411/72557*c_1001_2^4 - 292391/72557*c_1001_2^3 + 280409/72557*c_1001_2^2 + 104182/72557*c_1001_2 - 109147/72557, c_0101_10 - 1, c_0101_11 + 8308/72557*c_1001_2^8 - 101851/72557*c_1001_2^7 + 267947/72557*c_1001_2^6 - 6333/1961*c_1001_2^5 - 21411/72557*c_1001_2^4 + 292391/72557*c_1001_2^3 - 280409/72557*c_1001_2^2 - 104182/72557*c_1001_2 + 109147/72557, c_0101_12 - 1, c_0110_6 - 2155/72557*c_1001_2^8 + 29170/72557*c_1001_2^7 - 103484/72557*c_1001_2^6 + 3958/1961*c_1001_2^5 - 10210/72557*c_1001_2^4 - 198940/72557*c_1001_2^3 + 142995/72557*c_1001_2^2 + 128034/72557*c_1001_2 - 98624/72557, c_1001_0 - 1615/72557*c_1001_2^8 + 23039/72557*c_1001_2^7 - 82435/72557*c_1001_2^6 + 1169/1961*c_1001_2^5 + 122648/72557*c_1001_2^4 - 145386/72557*c_1001_2^3 + 48579/72557*c_1001_2^2 + 97298/72557*c_1001_2 - 54046/72557, c_1001_10 - 77493/580456*c_1001_2^8 + 971335/580456*c_1001_2^7 - 2711475/580456*c_1001_2^6 + 31369/7844*c_1001_2^5 + 68287/72557*c_1001_2^4 - 2412015/580456*c_1001_2^3 + 2138423/580456*c_1001_2^2 + 462413/290228*c_1001_2 - 756287/580456, c_1001_2^9 - 13*c_1001_2^8 + 41*c_1001_2^7 - 48*c_1001_2^6 + 8*c_1001_2^5 + 39*c_1001_2^4 - 45*c_1001_2^3 + 4*c_1001_2^2 + 19*c_1001_2 - 10 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.060 Total time: 0.260 seconds, Total memory usage: 32.09MB