Magma V2.19-8 Tue Aug 20 2013 23:50:34 on localhost [Seed = 2362107821] Type ? for help. Type -D to quit. Loading file "L12n32__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n32 geometric_solution 11.76223429 oriented_manifold CS_known 0.0000000000000003 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 1 2 3 0132 1230 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 1 0 -1 -1 0 1 0 0 1 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.639677972808 0.792475826855 0 4 0 5 0132 0132 3012 0132 1 1 1 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 1 -1 0 1 0 -1 0 1 0 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.383268060180 0.764048747547 6 4 7 0 0132 1230 0132 0132 1 1 1 1 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 0 0 0 0 7 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.563123917326 0.585670962710 4 4 0 5 0132 1302 0132 2103 1 1 1 0 0 0 0 0 0 0 0 0 0 -1 0 1 -2 3 -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 6 0 -6 1 -2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.639677972808 0.792475826855 3 1 2 3 0132 0132 3012 2031 1 1 0 1 0 0 -1 1 0 0 0 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 -1 7 -6 0 0 0 0 -1 -1 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.475453025016 1.045689690599 6 7 1 3 2103 2103 0132 2103 1 1 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 0 0 0 -6 0 6 0 0 0 0 -1 0 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.818317400061 1.097026727951 2 8 5 9 0132 0132 2103 0132 1 1 1 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 1 0 0 0 0 0 -7 0 0 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.595192579983 0.987405329167 8 5 9 2 0132 2103 0132 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 0 -1 -6 6 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.595192579983 0.987405329167 7 6 11 10 0132 0132 0132 0132 1 1 1 1 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 -1 0 -1 0 0 1 0 0 0 0 6 0 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.739027596377 0.813128634988 11 10 6 7 0132 0132 0132 0132 1 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 -1 0 0 1 0 7 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.739027596377 0.813128634988 11 9 8 11 2103 0132 0132 0321 1 1 1 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 0 0 -1 1 1 -7 0 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.948637778368 0.750591844851 9 10 10 8 0132 0321 2103 0132 1 1 1 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 -1 1 0 0 0 0 0 -6 0 6 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.948637778368 0.750591844851 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_2'], 'c_1001_11' : d['c_0011_10'], 'c_1001_10' : d['c_0011_5'], 'c_1001_5' : negation(d['c_0011_2']), 'c_1001_4' : negation(d['c_0011_2']), 'c_1001_7' : d['c_0011_5'], 'c_1001_6' : d['c_0011_5'], 'c_1001_1' : negation(d['c_0011_0']), 'c_1001_0' : d['c_0101_4'], 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_1001_8'], 'c_1001_8' : d['c_1001_8'], 'c_1010_11' : d['c_1001_8'], 'c_1010_10' : d['c_1001_8'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_10'], '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' : negation(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_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' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : d['c_0011_10'], 'c_1100_8' : d['c_0011_10'], 'c_1100_5' : negation(d['c_0101_4']), 'c_1100_4' : negation(d['c_1001_2']), 'c_1100_7' : negation(d['c_0110_5']), 'c_1100_6' : negation(d['c_0110_5']), 'c_1100_1' : negation(d['c_0101_4']), 'c_1100_0' : negation(d['c_0110_5']), 'c_1100_3' : negation(d['c_0110_5']), 'c_1100_2' : negation(d['c_0110_5']), 's_3_11' : d['1'], 'c_1100_9' : negation(d['c_0110_5']), 'c_1100_11' : d['c_0011_10'], 'c_1100_10' : d['c_0011_10'], 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_2'], 'c_1010_6' : d['c_1001_8'], 'c_1010_5' : negation(d['c_1001_2']), 'c_1010_4' : negation(d['c_0011_0']), 'c_1010_3' : d['c_1001_2'], 'c_1010_2' : d['c_0101_4'], 'c_1010_1' : negation(d['c_0011_2']), 'c_1010_0' : d['c_0101_1'], 'c_1010_9' : d['c_0011_5'], 'c_1010_8' : d['c_0011_5'], 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : negation(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' : negation(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_10']), 'c_0011_8' : d['c_0011_2'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_2']), 'c_0011_6' : negation(d['c_0011_2']), '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' : d['c_0011_2'], 'c_0110_11' : d['c_0101_2'], 'c_0110_10' : negation(d['c_0011_10']), 'c_0101_7' : d['c_0101_10'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_1'], '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_2'], 'c_0101_8' : d['c_0101_2'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_10'], 'c_0110_8' : d['c_0101_10'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_4'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0101_1'], 'c_0110_7' : d['c_0101_2'], 'c_0011_10' : d['c_0011_10']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_2, c_0011_5, c_0101_0, c_0101_1, c_0101_10, c_0101_2, c_0101_4, c_0110_5, c_1001_2, c_1001_8 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 26040670/320803*c_1001_8^5 + 66110243/641606*c_1001_8^4 - 687013287/1604015*c_1001_8^3 - 536898367/1604015*c_1001_8^2 - 4183615/641606*c_1001_8 - 42413353/3208030, c_0011_0 - 1, c_0011_10 + 6520/6547*c_1001_8^5 - 8348/6547*c_1001_8^4 + 36014/6547*c_1001_8^3 + 26099/6547*c_1001_8^2 + 9215/6547*c_1001_8 + 3369/6547, c_0011_2 + 1190/6547*c_1001_8^5 - 6946/6547*c_1001_8^4 + 14064/6547*c_1001_8^3 - 27600/6547*c_1001_8^2 - 7988/6547*c_1001_8 - 5179/6547, c_0011_5 + 4525/6547*c_1001_8^5 - 2480/6547*c_1001_8^4 + 18598/6547*c_1001_8^3 + 37709/6547*c_1001_8^2 + 10668/6547*c_1001_8 + 5697/6547, c_0101_0 - 1, c_0101_1 - 1, c_0101_10 + c_1001_8, c_0101_2 - 4525/6547*c_1001_8^5 + 2480/6547*c_1001_8^4 - 18598/6547*c_1001_8^3 - 37709/6547*c_1001_8^2 - 10668/6547*c_1001_8 - 5697/6547, c_0101_4 - 1190/6547*c_1001_8^5 + 6946/6547*c_1001_8^4 - 14064/6547*c_1001_8^3 + 27600/6547*c_1001_8^2 + 7988/6547*c_1001_8 - 1368/6547, c_0110_5 + 1190/6547*c_1001_8^5 - 6946/6547*c_1001_8^4 + 14064/6547*c_1001_8^3 - 27600/6547*c_1001_8^2 - 7988/6547*c_1001_8 - 5179/6547, c_1001_2 + 1, c_1001_8^6 - 7/5*c_1001_8^5 + 29/5*c_1001_8^4 + 14/5*c_1001_8^3 + 9/5*c_1001_8^2 + 2/5*c_1001_8 + 1/5 ], Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_2, c_0011_5, c_0101_0, c_0101_1, c_0101_10, c_0101_2, c_0101_4, c_0110_5, c_1001_2, c_1001_8 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t + 1328/9*c_1001_8^6 - 586/9*c_1001_8^5 + 17/6*c_1001_8^4 + 89/9*c_1001_8^3 - 79/9*c_1001_8^2 - 727/18*c_1001_8 + 47/2, c_0011_0 - 1, c_0011_10 + 64/9*c_1001_8^6 + 56/9*c_1001_8^5 + 28/9*c_1001_8^4 + 10/9*c_1001_8^3 + 11/9*c_1001_8^2 - c_1001_8 - 7/9, c_0011_2 + 16/3*c_1001_8^6 + 22/3*c_1001_8^5 - 2/3*c_1001_8^4 - 4/3*c_1001_8 - 5/3, c_0011_5 + 88/9*c_1001_8^6 + 65/9*c_1001_8^5 + 16/9*c_1001_8^4 + 22/9*c_1001_8^3 + 17/9*c_1001_8^2 - 4/3*c_1001_8 - 7/9, c_0101_0 - 1, c_0101_1 + 1, c_0101_10 + c_1001_8, c_0101_2 - 88/9*c_1001_8^6 - 65/9*c_1001_8^5 - 16/9*c_1001_8^4 - 22/9*c_1001_8^3 - 17/9*c_1001_8^2 + 4/3*c_1001_8 + 7/9, c_0101_4 + 16/3*c_1001_8^6 + 22/3*c_1001_8^5 - 2/3*c_1001_8^4 - 4/3*c_1001_8 - 8/3, c_0110_5 + 16/3*c_1001_8^6 + 22/3*c_1001_8^5 - 2/3*c_1001_8^4 - 4/3*c_1001_8 - 5/3, c_1001_2 + 1, c_1001_8^7 + 11/8*c_1001_8^6 + 7/8*c_1001_8^5 + 3/8*c_1001_8^4 + 1/4*c_1001_8^3 - 1/8*c_1001_8^2 - 1/4*c_1001_8 - 1/8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.240 seconds, Total memory usage: 32.09MB