Magma V2.19-8 Tue Aug 20 2013 23:42:00 on localhost [Seed = 3583226012] Type ? for help. Type -D to quit. Loading file "L12n654__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n654 geometric_solution 10.26709685 oriented_manifold CS_known 0.0000000000000003 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 2 3 4 0132 0132 0132 0132 1 1 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 1 0 -1 1 0 -1 0 0 -3 0 3 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.415105714788 0.651065883608 0 5 7 6 0132 0132 0132 0132 1 1 0 1 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 -1 0 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 0.645191061641 0.535151181732 8 0 7 5 0132 0132 3012 0132 1 1 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 -1 1 0 0 0 0 0 0 0 0 0 1 3 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.547197233673 0.997836563516 9 6 10 0 0132 0132 0132 0132 1 1 0 1 0 0 0 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 0 0 0 0 0 -1 1 0 1 0 -1 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.303747005051 1.092026814428 6 10 0 8 0132 0132 0132 2031 1 1 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 1 -1 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 0.303747005051 1.092026814428 10 1 2 8 2103 0132 0132 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.344191651783 1.261086897658 4 3 1 7 0132 0132 0132 3120 1 1 1 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 -1 1 0 -4 0 4 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.415105714788 0.651065883608 6 2 9 1 3120 1230 1230 0132 1 1 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 0 0 0 0 0 0 -1 0 1 0 -4 4 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.683871030425 0.406429548312 2 4 9 5 0132 1302 1023 1023 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 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 0.547197233673 0.997836563516 3 10 8 7 0132 1023 1023 3012 1 1 1 0 0 0 0 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 1 0 -1 0 0 0 0 4 -3 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.080596180181 0.642206202455 9 4 5 3 1023 0132 2103 0132 1 1 1 0 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 -1 0 0 1 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.860609863328 1.298040538382 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_1'], 'c_1001_10' : d['c_0011_0'], 'c_1001_5' : d['c_1001_0'], 'c_1001_4' : negation(d['c_0011_7']), 'c_1001_7' : d['c_1001_7'], 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0011_7']), 'c_1001_2' : negation(d['c_0011_7']), 'c_1001_9' : d['c_0101_10'], 'c_1001_8' : d['c_0101_0'], 'c_1010_10' : negation(d['c_0011_7']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], '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_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' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : negation(d['c_1001_7']), 'c_1100_8' : d['c_1001_7'], 'c_1100_5' : negation(d['c_1001_7']), 'c_1100_4' : negation(d['c_0110_5']), 'c_1100_7' : d['c_0101_3'], 'c_1100_6' : d['c_0101_3'], 'c_1100_1' : d['c_0101_3'], 'c_1100_0' : negation(d['c_0110_5']), 'c_1100_3' : negation(d['c_0110_5']), 'c_1100_2' : negation(d['c_1001_7']), 'c_1100_10' : negation(d['c_0110_5']), 'c_1010_7' : d['c_0101_2'], 'c_1010_6' : negation(d['c_0011_7']), 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : d['c_0011_0'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_0'], 'c_1010_0' : negation(d['c_0011_7']), 'c_1010_9' : d['c_0101_3'], 'c_1010_8' : d['c_0110_5'], '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' : d['1'], 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_10'], 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : d['c_0011_10'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_10' : d['c_0101_3'], 'c_0101_7' : negation(d['c_0101_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_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_0'], 'c_0101_8' : d['c_0101_10'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_3'], 'c_0110_8' : d['c_0101_2'], '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_10'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0101_0'], 'c_0110_7' : d['c_0101_1'], 'c_0011_10' : d['c_0011_10']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_7, c_0101_0, c_0101_1, c_0101_10, c_0101_2, c_0101_3, c_0110_5, c_1001_0, c_1001_7 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t + 77/57*c_1001_7^3 - 21/19*c_1001_7^2 + 653/285*c_1001_7 + 23/285, c_0011_0 - 1, c_0011_10 + 60/19*c_1001_7^3 - 75/19*c_1001_7^2 + 103/19*c_1001_7 - 9/19, c_0011_7 + 20/19*c_1001_7^3 - 25/19*c_1001_7^2 + 47/19*c_1001_7 - 3/19, c_0101_0 - 15/19*c_1001_7^3 - 5/19*c_1001_7^2 - 2/19*c_1001_7 - 31/19, c_0101_1 - 1, c_0101_10 - 35/19*c_1001_7^3 + 20/19*c_1001_7^2 - 68/19*c_1001_7 - 28/19, c_0101_2 - 35/19*c_1001_7^3 + 20/19*c_1001_7^2 - 49/19*c_1001_7 - 9/19, c_0101_3 + 20/19*c_1001_7^3 - 25/19*c_1001_7^2 + 28/19*c_1001_7 - 3/19, c_0110_5 - 20/19*c_1001_7^3 + 25/19*c_1001_7^2 - 28/19*c_1001_7 - 16/19, c_1001_0 - 60/19*c_1001_7^3 + 75/19*c_1001_7^2 - 103/19*c_1001_7 - 10/19, c_1001_7^4 - c_1001_7^3 + 9/5*c_1001_7^2 + 1/5*c_1001_7 + 1/5 ], Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_7, c_0101_0, c_0101_1, c_0101_10, c_0101_2, c_0101_3, c_0110_5, c_1001_0, c_1001_7 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 1811/10716*c_1001_7^7 + 823/2679*c_1001_7^6 + 1954/2679*c_1001_7^5 - 1481/3572*c_1001_7^4 + 22679/10716*c_1001_7^3 + 1484/2679*c_1001_7^2 + 6097/10716*c_1001_7 - 2449/2679, c_0011_0 - 1, c_0011_10 + 91/1786*c_1001_7^7 + 139/893*c_1001_7^6 + 771/1786*c_1001_7^5 + 260/893*c_1001_7^4 + 680/893*c_1001_7^3 + 24/47*c_1001_7^2 + 1329/893*c_1001_7 + 557/1786, c_0011_7 - 20/893*c_1001_7^7 - 105/893*c_1001_7^6 - 9/47*c_1001_7^5 - 168/893*c_1001_7^4 + 74/893*c_1001_7^3 - 1299/893*c_1001_7^2 - 46/893*c_1001_7 - 125/893, c_0101_0 + 215/1786*c_1001_7^7 + 159/893*c_1001_7^6 + 675/1786*c_1001_7^5 - 507/893*c_1001_7^4 + 1165/893*c_1001_7^3 + 32/893*c_1001_7^2 - 446/893*c_1001_7 - 595/1786, c_0101_1 - 1, c_0101_10 + 37/1786*c_1001_7^7 + 9/893*c_1001_7^6 + 79/1786*c_1001_7^5 - 89/893*c_1001_7^4 + 512/893*c_1001_7^3 + 110/893*c_1001_7^2 + 482/893*c_1001_7 + 431/1786, c_0101_2 - 28/893*c_1001_7^7 - 53/893*c_1001_7^6 - 89/893*c_1001_7^5 + 216/893*c_1001_7^4 - 75/893*c_1001_7^3 + 334/893*c_1001_7^2 + 86/893*c_1001_7 + 671/893, c_0101_3 - 64/893*c_1001_7^7 - 148/893*c_1001_7^6 - 425/893*c_1001_7^5 - 9/47*c_1001_7^4 - 1192/893*c_1001_7^3 - 566/893*c_1001_7^2 - 918/893*c_1001_7 - 26/47, c_0110_5 + 1, c_1001_0 + 91/1786*c_1001_7^7 + 139/893*c_1001_7^6 + 771/1786*c_1001_7^5 + 260/893*c_1001_7^4 + 680/893*c_1001_7^3 + 24/47*c_1001_7^2 + 1329/893*c_1001_7 + 557/1786, c_1001_7^8 + 2*c_1001_7^7 + 5*c_1001_7^6 + 16*c_1001_7^4 + 10*c_1001_7^3 + 8*c_1001_7^2 + 7*c_1001_7 + 12 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.230 seconds, Total memory usage: 32.09MB