Magma V2.19-8 Tue Aug 20 2013 23:42:42 on localhost [Seed = 1764690984] Type ? for help. Type -D to quit. Loading file "L13n4800__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n4800 geometric_solution 9.82000485 oriented_manifold CS_known 0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 2 2 3 0132 0132 3120 0132 1 0 1 1 0 1 0 -1 0 0 -1 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 7 -1 -6 1 0 0 -1 -1 1 0 0 0 7 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.604869791871 1.108047058553 0 4 5 3 0132 0132 0132 3201 1 0 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 -1 0 0 1 0 -6 0 6 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.339374468200 0.527803140070 6 0 0 4 0132 0132 3120 0132 1 0 1 1 0 -1 1 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 -7 7 0 0 0 0 0 7 -7 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.604869791871 1.108047058553 7 1 0 8 0132 2310 0132 0132 1 0 0 1 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 -6 6 0 0 0 1 -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 -0.230089719130 1.133730239462 7 1 2 8 3120 0132 0132 0321 1 0 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 0 0 0 0 0 0 -6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.604869791871 1.108047058553 9 8 6 1 0132 0321 2031 0132 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 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.517652534053 0.645153330662 2 7 10 5 0132 3120 0132 1302 0 0 1 1 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 -7 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.337239778534 1.550072533933 3 6 10 4 0132 3120 2103 3120 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 0 0 0 0 0 0 0 0 -7 1 6 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 -0.513567157117 1.311269595617 9 4 3 5 2031 0321 0132 0321 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 -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 0.682963592473 1.348074632628 5 10 8 10 0132 0132 1302 3012 0 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 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 0.700945706788 0.590291357988 7 9 9 6 2103 0132 1230 0132 0 0 1 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 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 0.165311058420 0.702921301966 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : negation(d['c_0101_10']), 'c_1001_5' : negation(d['c_0101_2']), 'c_1001_4' : d['c_1001_0'], 'c_1001_7' : d['c_0011_10'], 'c_1001_6' : negation(d['c_0011_10']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_1001_0']), 'c_1001_2' : negation(d['c_1001_0']), 'c_1001_9' : negation(d['c_0011_10']), 'c_1001_8' : negation(d['c_0101_0']), 'c_1010_10' : negation(d['c_0011_10']), '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' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : negation(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' : negation(d['1']), 's_0_4' : 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_1100_9' : d['c_0101_10'], 'c_1100_8' : negation(d['c_0101_2']), 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : negation(d['c_0101_0']), 'c_1100_7' : negation(d['c_0101_4']), 'c_1100_6' : d['c_0101_5'], 'c_1100_1' : negation(d['c_0011_3']), 'c_1100_0' : negation(d['c_0101_2']), 'c_1100_3' : negation(d['c_0101_2']), 'c_1100_2' : negation(d['c_0101_0']), 'c_1100_10' : d['c_0101_5'], 'c_1010_7' : negation(d['c_0011_0']), 'c_1010_6' : d['c_0011_3'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_1001_1'], 'c_1010_3' : negation(d['c_0101_0']), 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_0'], 'c_1010_0' : negation(d['c_1001_0']), 'c_1010_9' : negation(d['c_0101_10']), 'c_1010_8' : d['c_1001_1'], 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : negation(d['1']), 's_3_4' : d['1'], 's_3_7' : d['1'], 's_3_6' : negation(d['1']), 's_3_9' : d['1'], 's_3_8' : d['1'], 's_1_7' : negation(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_10']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_10'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_3']), 'c_0110_6' : d['c_0101_2'], '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_10' : d['c_0101_4'], 'c_0011_6' : d['c_0011_0'], 'c_0101_7' : d['c_0101_10'], 'c_0101_6' : d['c_0101_4'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_8']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_8']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_8']), 'c_0101_8' : d['c_0101_10'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_5'], 'c_0110_8' : negation(d['c_0011_10']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_8']), 'c_0110_3' : d['c_0101_10'], 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : negation(d['c_0011_8']), 'c_0110_4' : negation(d['c_0011_8']), 'c_0110_7' : negation(d['c_0011_8']), '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_3, c_0011_8, c_0101_0, c_0101_10, c_0101_2, c_0101_4, c_0101_5, c_1001_0, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t - 96/55*c_1001_1^6 + 96/55*c_1001_1^5 + 272/55*c_1001_1^4 - 50/11*c_1001_1^3 - 35/11*c_1001_1^2 + 206/55*c_1001_1 - 47/55, c_0011_0 - 1, c_0011_10 + 20/11*c_1001_1^6 + 24/11*c_1001_1^5 - 53/11*c_1001_1^4 - 79/11*c_1001_1^3 + 14/11*c_1001_1^2 + 57/11*c_1001_1 + 24/11, c_0011_3 + 28/55*c_1001_1^6 - 28/55*c_1001_1^5 - 171/55*c_1001_1^4 - 12/11*c_1001_1^3 + 40/11*c_1001_1^2 + 192/55*c_1001_1 + 16/55, c_0011_8 - 156/55*c_1001_1^6 - 284/55*c_1001_1^5 + 167/55*c_1001_1^4 + 114/11*c_1001_1^3 + 27/11*c_1001_1^2 - 229/55*c_1001_1 - 97/55, c_0101_0 - 1, c_0101_10 + 92/55*c_1001_1^6 + 128/55*c_1001_1^5 - 279/55*c_1001_1^4 - 107/11*c_1001_1^3 + 12/11*c_1001_1^2 + 458/55*c_1001_1 + 194/55, c_0101_2 + 1, c_0101_4 + 156/55*c_1001_1^6 + 284/55*c_1001_1^5 - 167/55*c_1001_1^4 - 114/11*c_1001_1^3 - 27/11*c_1001_1^2 + 229/55*c_1001_1 + 97/55, c_0101_5 + 4*c_1001_1^5 + 8*c_1001_1^4 - c_1001_1^3 - 11*c_1001_1^2 - 6*c_1001_1, c_1001_0 - 28/55*c_1001_1^6 + 28/55*c_1001_1^5 + 171/55*c_1001_1^4 + 12/11*c_1001_1^3 - 40/11*c_1001_1^2 - 137/55*c_1001_1 + 39/55, c_1001_1^7 + 2*c_1001_1^6 - 5/4*c_1001_1^5 - 19/4*c_1001_1^4 - 5/4*c_1001_1^3 + 11/4*c_1001_1^2 + 3/2*c_1001_1 - 1/4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB