Magma V2.19-8 Tue Aug 20 2013 16:17:37 on localhost [Seed = 3499183158] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1855 geometric_solution 5.49496836 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 1 0132 0132 0132 3012 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 0 0 0.734048470035 0.867175167910 0 3 0 4 0132 2103 1230 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.323257686733 1.054030555146 3 0 4 5 2103 0132 1230 0132 0 0 0 0 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 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 0 0 0.323257686733 1.054030555146 4 1 2 0 0132 2103 2103 0132 0 0 0 0 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 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 0.581472266139 0.066932961122 3 5 1 2 0132 3120 0132 3012 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 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 0.734048470035 0.867175167910 6 4 2 6 0132 3120 0132 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 -1 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 0.486096286766 0.278565349449 5 5 6 6 0132 2310 1230 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 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 1.497356408719 0.892183763802 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], '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' : 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' : negation(d['1']), 's_1_2' : negation(d['1']), 's_1_1' : negation(d['1']), 's_1_0' : negation(d['1']), 's_0_6' : d['1'], 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(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' : d['c_0011_5'], 'c_1100_4' : d['c_0101_1'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0101_1'], 'c_1100_0' : negation(d['c_0011_3']), 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : d['c_0011_5'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0011_3'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0011_5'], 'c_0101_2' : d['c_0011_5'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_3']), 'c_0011_6' : negation(d['c_0011_5']), '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_1001_0'], 'c_1001_4' : negation(d['c_1001_0']), 'c_1001_6' : negation(d['c_0011_3']), 'c_1001_1' : d['c_0011_3'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0011_0']), 'c_1001_2' : negation(d['c_0101_1']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_3'], 'c_0110_5' : d['c_0101_6'], 'c_0110_4' : d['c_0011_5'], 'c_0110_6' : d['c_0011_3'], 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : d['c_0011_3'], 'c_1010_4' : negation(d['c_0011_5']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_1001_0']), 'c_1010_0' : negation(d['c_0101_1'])})} 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_0011_5, c_0101_0, c_0101_1, c_0101_6, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t - 34/23*c_1001_0^12 + 2683/115*c_1001_0^11 - 17791/115*c_1001_0^10 + 63522/115*c_1001_0^9 - 127609/115*c_1001_0^8 + 125096/115*c_1001_0^7 + 11023/115*c_1001_0^6 - 174412/115*c_1001_0^5 + 186382/115*c_1001_0^4 - 54703/115*c_1001_0^3 - 51057/115*c_1001_0^2 + 51831/115*c_1001_0 - 15568/115, c_0011_0 - 1, c_0011_3 + 9*c_1001_0^12 - 128*c_1001_0^11 + 760*c_1001_0^10 - 2410*c_1001_0^9 + 4227*c_1001_0^8 - 3329*c_1001_0^7 - 1430*c_1001_0^6 + 5854*c_1001_0^5 - 5184*c_1001_0^4 + 984*c_1001_0^3 + 1676*c_1001_0^2 - 1393*c_1001_0 + 369, c_0011_5 + 8*c_1001_0^12 - 115*c_1001_0^11 + 690*c_1001_0^10 - 2211*c_1001_0^9 + 3922*c_1001_0^8 - 3146*c_1001_0^7 - 1260*c_1001_0^6 + 5435*c_1001_0^5 - 4870*c_1001_0^4 + 951*c_1001_0^3 + 1561*c_1001_0^2 - 1307*c_1001_0 + 346, c_0101_0 - 1, c_0101_1 + 5*c_1001_0^12 - 71*c_1001_0^11 + 421*c_1001_0^10 - 1334*c_1001_0^9 + 2341*c_1001_0^8 - 1852*c_1001_0^7 - 776*c_1001_0^6 + 3239*c_1001_0^5 - 2887*c_1001_0^4 + 559*c_1001_0^3 + 928*c_1001_0^2 - 776*c_1001_0 + 206, c_0101_6 + 16*c_1001_0^12 - 229*c_1001_0^11 + 1369*c_1001_0^10 - 4375*c_1001_0^9 + 7750*c_1001_0^8 - 6223*c_1001_0^7 - 2463*c_1001_0^6 + 10723*c_1001_0^5 - 9652*c_1001_0^4 + 1924*c_1001_0^3 + 3073*c_1001_0^2 - 2598*c_1001_0 + 695, c_1001_0^13 - 17*c_1001_0^12 + 124*c_1001_0^11 - 503*c_1001_0^10 + 1217*c_1001_0^9 - 1684*c_1001_0^8 + 881*c_1001_0^7 + 1089*c_1001_0^6 - 2396*c_1001_0^5 + 1726*c_1001_0^4 - 123*c_1001_0^3 - 676*c_1001_0^2 + 475*c_1001_0 - 115 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB