Magma V2.19-8 Tue Aug 20 2013 16:16:57 on localhost [Seed = 3734979086] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1211 geometric_solution 5.10978959 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 0 2 0 0132 1302 0132 2031 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 0 1 0 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 -0.457154637969 0.488722931963 0 2 4 3 0132 3201 0132 0132 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 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 1.466932748694 1.131359693258 5 4 1 0 0132 1023 2310 0132 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 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 1.466932748694 1.131359693258 5 6 1 6 1230 0132 0132 3120 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 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 0.745749275795 0.707977250967 2 5 6 1 1023 2310 1230 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.975602652894 0.287854244968 2 3 6 4 0132 3012 3120 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 1 0 -1 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 0.677570720028 0.196415091482 3 3 5 4 3120 0132 3120 3012 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 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 0.449305281142 1.251119023486 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : 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_0' : d['1'], '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' : d['1'], 's_2_5' : d['1'], 's_2_6' : d['1'], 's_1_6' : d['1'], 's_1_5' : negation(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_0_6' : d['1'], 's_0_4' : d['1'], 's_0_5' : negation(d['1']), 's_0_2' : negation(d['1']), 's_0_3' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : negation(d['c_0101_0']), 'c_1100_5' : negation(d['c_0011_2']), 'c_1100_4' : negation(d['c_0011_2']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_2']), 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0011_2']), 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_6' : d['c_0011_2'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_2']), 'c_0011_4' : d['c_0011_2'], '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' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0011_3']), 'c_1001_4' : d['c_0101_0'], 'c_1001_6' : d['c_0011_3'], 'c_1001_1' : negation(d['c_0101_2']), 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0101_4']), 'c_1001_2' : d['c_0101_4'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0011_2']), 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_1'], 'c_0110_6' : negation(d['c_0011_2']), 'c_1010_6' : negation(d['c_0101_4']), 'c_1010_5' : negation(d['c_0101_0']), 'c_1010_4' : negation(d['c_0101_2']), 'c_1010_3' : d['c_0011_3'], 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : negation(d['c_0101_4']), 'c_1010_0' : d['c_0011_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_2, c_0011_3, c_0101_0, c_0101_1, c_0101_2, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t + 1664/27*c_0101_4^3 + 1664/27*c_0101_4^2 - 2848/27*c_0101_4 - 544/9, c_0011_0 - 1, c_0011_2 + 2/3*c_0101_4^2 + 1/3*c_0101_4 - 1/2, c_0011_3 + c_0101_4, c_0101_0 + 4/3*c_0101_4^2 + 2/3*c_0101_4 - 1, c_0101_1 + 4/3*c_0101_4^2 + 2/3*c_0101_4 - 1, c_0101_2 + c_0101_4 + 1/2, c_0101_4^4 + c_0101_4^3 - 2*c_0101_4^2 - 9/8*c_0101_4 + 9/16 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0011_3, c_0101_0, c_0101_1, c_0101_2, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t - 18033*c_0101_4^14 - 48223/2*c_0101_4^13 + 374603/2*c_0101_4^12 + 804747/2*c_0101_4^11 - 744263*c_0101_4^10 - 2465481/2*c_0101_4^9 + 2622135/2*c_0101_4^8 + 1498133*c_0101_4^7 - 1033147*c_0101_4^6 - 1695357/2*c_0101_4^5 + 774151/2*c_0101_4^4 + 441345/2*c_0101_4^3 - 65820*c_0101_4^2 - 21304*c_0101_4 + 3925, c_0011_0 - 1, c_0011_2 - 22*c_0101_4^14 - 31*c_0101_4^13 + 232*c_0101_4^12 + 515*c_0101_4^11 - 930*c_0101_4^10 - 1695*c_0101_4^9 + 1712*c_0101_4^8 + 2315*c_0101_4^7 - 1499*c_0101_4^6 - 1547*c_0101_4^5 + 662*c_0101_4^4 + 507*c_0101_4^3 - 143*c_0101_4^2 - 65*c_0101_4 + 12, c_0011_3 - 550*c_0101_4^14 - 605*c_0101_4^13 + 5955*c_0101_4^12 + 10994*c_0101_4^11 - 26324*c_0101_4^10 - 33570*c_0101_4^9 + 51915*c_0101_4^8 + 40050*c_0101_4^7 - 47736*c_0101_4^6 - 22448*c_0101_4^5 + 22005*c_0101_4^4 + 5864*c_0101_4^3 - 4942*c_0101_4^2 - 572*c_0101_4 + 429, c_0101_0 - 22*c_0101_4^14 - 13*c_0101_4^13 + 259*c_0101_4^12 + 328*c_0101_4^11 - 1368*c_0101_4^10 - 978*c_0101_4^9 + 3157*c_0101_4^8 + 1065*c_0101_4^7 - 3484*c_0101_4^6 - 543*c_0101_4^5 + 1989*c_0101_4^4 + 131*c_0101_4^3 - 572*c_0101_4^2 - 12*c_0101_4 + 65, c_0101_1 - 2*c_0101_4^14 - c_0101_4^13 + 24*c_0101_4^12 + 28*c_0101_4^11 - 131*c_0101_4^10 - 84*c_0101_4^9 + 314*c_0101_4^8 + 91*c_0101_4^7 - 367*c_0101_4^6 - 46*c_0101_4^5 + 230*c_0101_4^4 + 11*c_0101_4^3 - 79*c_0101_4^2 - c_0101_4 + 12, c_0101_2 - c_0101_4, c_0101_4^15 + 3/2*c_0101_4^14 - 21/2*c_0101_4^13 - 49/2*c_0101_4^12 + 41*c_0101_4^11 + 83*c_0101_4^10 - 74*c_0101_4^9 - 239/2*c_0101_4^8 + 64*c_0101_4^7 + 87*c_0101_4^6 - 28*c_0101_4^5 - 67/2*c_0101_4^4 + 6*c_0101_4^3 + 13/2*c_0101_4^2 - 1/2*c_0101_4 - 1/2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.220 seconds, Total memory usage: 32.09MB