Magma V2.19-8 Tue Aug 20 2013 23:42:20 on localhost [Seed = 3785852086] Type ? for help. Type -D to quit. Loading file "L14a29624__sl2_c5.magma" ==TRIANGULATION=BEGINS== % Triangulation L14a29624 geometric_solution 8.90874739 oriented_manifold CS_known -0.0000000000000001 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 10 0 0 1 1 1230 3012 0132 2310 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 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 0 0 0 0 0 1.749187812046 0.759332121331 0 2 3 0 3201 0132 0132 0132 0 0 0 0 0 1 0 -1 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 4 -1 -3 0 0 0 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.436623956385 0.489287823638 4 1 5 6 0132 0132 0132 0132 0 0 0 0 0 -1 0 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 -4 0 4 1 0 -1 0 0 0 0 0 -4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.447663017113 0.956225453122 7 6 8 1 0132 2310 0132 0132 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 -1 1 0 0 0 0 0 0 0 0 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.447663017113 0.956225453122 2 8 8 8 0132 3201 3012 3120 1 0 0 0 0 0 1 -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 1 3 -4 -1 0 1 0 4 0 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.598425414580 0.857778787227 7 7 7 2 3120 1230 2310 0132 0 0 0 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 0 0 0 0 0 -1 1 0 1 0 -1 6 1 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.308018425224 0.832755809639 9 9 2 3 0132 2310 0132 3201 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 -4 4 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 -0.015302892767 1.137764741193 3 5 5 5 0132 3201 3012 3120 2 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 0 0 0 7 -1 -6 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 0.308018425224 0.832755809639 4 4 4 3 3120 1230 2310 0132 0 0 0 1 0 0 0 0 0 0 0 0 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 -1 0 1 0 0 0 0 4 0 0 -4 4 -3 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.598425414580 0.857778787227 6 9 9 6 0132 3201 2310 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.658413843850 0.667329036492 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_5' : d['c_0011_5'], 'c_1001_4' : negation(d['c_0011_8']), 'c_1001_7' : negation(d['c_0011_5']), 'c_1001_6' : negation(d['c_0101_9']), 'c_1001_1' : negation(d['c_0101_9']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0101_4'], 'c_1001_2' : negation(d['c_0011_0']), 'c_1001_9' : negation(d['c_0101_9']), 'c_1001_8' : d['c_0011_8'], 's_2_8' : d['1'], 's_2_9' : d['1'], 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : negation(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_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' : negation(d['1']), 's_0_2' : d['1'], 's_0_3' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : d['1'], 'c_1100_9' : negation(d['c_0011_6']), 'c_1100_8' : d['c_0011_1'], 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : negation(d['c_0011_8']), 'c_1100_7' : negation(d['c_0011_5']), 'c_1100_6' : negation(d['c_0011_3']), 'c_1100_1' : d['c_0011_1'], 'c_1100_0' : d['c_0011_1'], 'c_1100_3' : d['c_0011_1'], 'c_1100_2' : negation(d['c_0011_3']), 'c_1010_7' : negation(d['c_0011_5']), 'c_1010_6' : negation(d['c_0101_4']), 'c_1010_5' : negation(d['c_0011_0']), 'c_1010_4' : negation(d['c_0011_8']), 'c_1010_3' : negation(d['c_0101_9']), 'c_1010_2' : negation(d['c_0101_9']), 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(d['c_0101_0']), 'c_1010_9' : d['c_0101_9'], 'c_1010_8' : d['c_0101_4'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : negation(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'], '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' : 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_6']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_1'], 'c_0011_7' : negation(d['c_0011_3']), 'c_0011_6' : d['c_0011_6'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_1']), 'c_0101_7' : negation(d['c_0011_0']), 'c_0101_6' : d['c_0101_4'], 'c_0101_5' : d['c_0011_5'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_2'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0011_8'], 'c_0110_9' : d['c_0101_4'], 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : negation(d['c_0011_0']), 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_2'], 'c_0110_7' : d['c_0101_2'], 'c_0110_6' : d['c_0101_9']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 11 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_3, c_0011_5, c_0011_6, c_0011_8, c_0101_0, c_0101_2, c_0101_4, c_0101_9 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t - 40792/1462209*c_0101_9^3 - 35499/974806*c_0101_9^2 - 452905/487403*c_0101_9 + 529430/1462209, c_0011_0 - 1, c_0011_1 + 1/29*c_0101_9^3 + 8/87*c_0101_9^2 + 64/87*c_0101_9 - 88/87, c_0011_3 + 14/87*c_0101_9^3 + 6/29*c_0101_9^2 + 164/29*c_0101_9 - 343/87, c_0011_5 - 1, c_0011_6 + 10/87*c_0101_9^3 + 17/87*c_0101_9^2 + 223/87*c_0101_9 - 14/29, c_0011_8 + 1, c_0101_0 + 1/87*c_0101_9^3 - 7/87*c_0101_9^2 + 31/87*c_0101_9 - 42/29, c_0101_2 - 14/87*c_0101_9^3 - 6/29*c_0101_9^2 - 164/29*c_0101_9 + 256/87, c_0101_4 - 11/87*c_0101_9^3 - 10/87*c_0101_9^2 - 428/87*c_0101_9 + 56/29, c_0101_9^4 + c_0101_9^3 + 33*c_0101_9^2 - 23*c_0101_9 + 7 ], Ideal of Polynomial ring of rank 11 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_3, c_0011_5, c_0011_6, c_0011_8, c_0101_0, c_0101_2, c_0101_4, c_0101_9 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 5 Groebner basis: [ t + 12881/4096*c_0101_9^4 - 17379/2048*c_0101_9^3 + 50655/2048*c_0101_9^2 - 47789/2048*c_0101_9 + 77561/4096, c_0011_0 - 1, c_0011_1 + 1/4*c_0101_9^4 - 1/4*c_0101_9^3 + 5/4*c_0101_9^2 - 1/4*c_0101_9, c_0011_3 + c_0101_9^2, c_0011_5 - 1, c_0011_6 - 1/4*c_0101_9^4 - 1/4*c_0101_9^3 - 1/4*c_0101_9^2 - 5/4*c_0101_9 - 1, c_0011_8 + 1, c_0101_0 + 1/4*c_0101_9^4 - 3/4*c_0101_9^3 + 5/4*c_0101_9^2 - 3/4*c_0101_9 - 1, c_0101_2 - c_0101_9^2 - 1, c_0101_4 + 1/4*c_0101_9^4 - 1/4*c_0101_9^3 + 1/4*c_0101_9^2 - 1/4*c_0101_9 - 1, c_0101_9^5 - 2*c_0101_9^4 + 6*c_0101_9^3 - 2*c_0101_9^2 + c_0101_9 + 4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.230 seconds, Total memory usage: 32.09MB