Magma V2.19-8 Tue Aug 20 2013 16:17:58 on localhost [Seed = 71669955] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2204 geometric_solution 5.65624418 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 1 0132 0132 0132 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.122561166877 0.744861766620 0 1 1 0 0132 3201 2310 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.662358978622 0.562279512062 3 0 5 4 2310 0132 0132 0132 0 0 0 0 0 0 0 0 0 0 -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 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 0.122561166877 0.744861766620 5 4 2 0 1023 1023 3201 0132 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 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 0.122561166877 0.744861766620 3 4 2 4 1023 2310 0132 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.662358978622 0.562279512062 6 3 6 2 0132 1023 1023 0132 0 0 0 0 0 0 0 0 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 -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 1.662358978622 0.562279512062 5 6 5 6 0132 2310 1023 3201 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 0 1 -1 -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 0.662358978622 0.562279512062 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : d['1'], 's_2_0' : d['1'], 's_2_1' : negation(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_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' : negation(d['1']), 's_1_0' : d['1'], 's_0_6' : 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_6' : d['c_0011_3'], 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : negation(d['c_0011_3']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_6' : d['c_0101_2'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0101_2']), 'c_0101_3' : d['c_0101_2'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_3'], 'c_0011_4' : d['c_0011_3'], 'c_0011_6' : negation(d['c_0011_3']), '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_1001_5' : d['c_0101_2'], 'c_1001_4' : d['c_0110_4'], 'c_1001_6' : d['c_0101_5'], 'c_1001_1' : negation(d['c_0101_1']), 'c_1001_0' : d['c_0110_4'], 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : d['c_0101_0'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_2']), 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0110_4'], 'c_0110_6' : d['c_0101_5'], 'c_1010_6' : negation(d['c_0101_5']), 'c_1010_5' : d['c_0101_0'], 'c_1010_4' : negation(d['c_0110_4']), 'c_1010_3' : d['c_0110_4'], 'c_1010_2' : d['c_0110_4'], 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : d['c_0101_0']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0101_0, c_0101_1, c_0101_2, c_0101_5, c_0110_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 2 Groebner basis: [ t - 8*c_0110_4, c_0011_0 - 1, c_0011_3 + 1, c_0101_0 - c_0110_4, c_0101_1 + c_0110_4, c_0101_2 + c_0110_4, c_0101_5 + c_0110_4, c_0110_4^2 - 1/2 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0101_0, c_0101_1, c_0101_2, c_0101_5, c_0110_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 7953/232*c_0110_4^11 - 381015/464*c_0110_4^9 + 643831/116*c_0110_4^7 - 2996187/232*c_0110_4^5 + 2184645/232*c_0110_4^3 - 462831/464*c_0110_4, c_0011_0 - 1, c_0011_3 - 7/464*c_0110_4^10 + 83/232*c_0110_4^8 - 553/232*c_0110_4^6 + 651/116*c_0110_4^4 - 1931/464*c_0110_4^2 - 53/232, c_0101_0 - 23/464*c_0110_4^11 + 281/232*c_0110_4^9 - 1991/232*c_0110_4^7 + 1287/58*c_0110_4^5 - 9543/464*c_0110_4^3 + 1251/232*c_0110_4, c_0101_1 - 219/464*c_0110_4^11 + 5239/464*c_0110_4^9 - 17649/232*c_0110_4^7 + 40763/232*c_0110_4^5 - 58391/464*c_0110_4^3 + 5711/464*c_0110_4, c_0101_2 + 3/464*c_0110_4^11 - 67/464*c_0110_4^9 + 179/232*c_0110_4^7 - 65/232*c_0110_4^5 - 1741/464*c_0110_4^3 + 1425/464*c_0110_4, c_0101_5 + c_0110_4, c_0110_4^12 - 24*c_0110_4^10 + 163*c_0110_4^8 - 384*c_0110_4^6 + 291*c_0110_4^4 - 40*c_0110_4^2 + 1 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0101_0, c_0101_1, c_0101_2, c_0101_5, c_0110_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 20 Groebner basis: [ t + 2995550/18953*c_0101_5*c_0110_4^8 - 99293527/75812*c_0101_5*c_0110_4^6 - 40944445/37906*c_0101_5*c_0110_4^4 - 52346007/75812*c_0101_5*c_0110_4^2 + 10575795/75812*c_0101_5 + 1711040/18953*c_0110_4^9 - 12140752/18953*c_0110_4^7 - 28234189/18953*c_0110_4^5 - 24243781/18953*c_0110_4^3 - 10272954/18953*c_0110_4, c_0011_0 - 1, c_0011_3 - 41856/18953*c_0101_5*c_0110_4^9 + 342152/18953*c_0101_5*c_0110_4^7 + 320853/18953*c_0101_5*c_0110_4^5 + 250680/18953*c_0101_5*c_0110_4^3 + 9096/18953*c_0101_5*c_0110_4 - 2072/18953*c_0110_4^8 + 19227/18953*c_0110_4^6 - 4776/18953*c_0110_4^4 + 1368/18953*c_0110_4^2 + 5232/18953, c_0101_0 + 41856/18953*c_0110_4^9 - 342152/18953*c_0110_4^7 - 320853/18953*c_0110_4^5 - 250680/18953*c_0110_4^3 + 9857/18953*c_0110_4, c_0101_1 + 81792/18953*c_0110_4^9 - 670000/18953*c_0110_4^7 - 624032/18953*c_0110_4^5 - 405181/18953*c_0110_4^3 + 27782/18953*c_0110_4, c_0101_2 + c_0101_5 - c_0110_4, c_0101_5^2 + 41856/18953*c_0101_5*c_0110_4^9 - 342152/18953*c_0101_5*c_0110_4^7 - 320853/18953*c_0101_5*c_0110_4^5 - 250680/18953*c_0101_5*c_0110_4^3 - 47002/18953*c_0101_5*c_0110_4 + c_0110_4^2, c_0110_4^10 - 65/8*c_0110_4^8 - 65/8*c_0110_4^6 - 47/8*c_0110_4^4 - 1/4*c_0110_4^2 - 1/8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.240 seconds, Total memory usage: 32.09MB