Magma V2.19-8 Tue Aug 20 2013 16:17:55 on localhost [Seed = 3086363511] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2157 geometric_solution 5.63493512 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1302 2031 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.460795446208 0.341011541557 2 0 3 0 0132 2310 0132 0132 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 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 1.915057590146 0.834745490116 1 4 5 5 0132 0132 0132 1302 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.460795446208 0.341011541557 5 4 4 1 1302 1302 2103 0132 0 0 0 0 0 0 0 0 0 0 0 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 1 0 -1 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 0.189492868978 0.622673778309 3 2 6 3 2103 0132 0132 2031 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 0 0 1 0 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 0.911859282154 0.676480727803 6 3 2 2 1230 2031 2031 0132 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 -1 1 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.058596530092 1.060195277521 6 5 6 4 2310 3012 3201 0132 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 -1 1 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 1.028266194548 0.761247242710 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : negation(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' : 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' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : d['1'], 's_0_6' : d['1'], 's_0_4' : negation(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' : negation(d['1']), 'c_1100_6' : d['c_0011_0'], 'c_1100_5' : d['c_0101_5'], 'c_1100_4' : d['c_0011_0'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_1']), 'c_1100_0' : negation(d['c_0011_1']), 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : d['c_0101_5'], 'c_0101_6' : d['c_0011_5'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_5']), 'c_0101_3' : negation(d['c_0011_5']), 'c_0101_2' : negation(d['c_0011_0']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_0']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_1'], 'c_0011_6' : negation(d['c_0011_0']), '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_1001_5' : negation(d['c_0101_1']), 'c_1001_4' : negation(d['c_0101_5']), 'c_1001_6' : negation(d['c_0011_5']), 'c_1001_1' : negation(d['c_0011_0']), 'c_1001_0' : negation(d['c_0110_0']), 'c_1001_3' : d['c_0011_1'], 'c_1001_2' : d['c_0011_3'], 'c_0110_1' : negation(d['c_0011_0']), 'c_0110_0' : d['c_0110_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : negation(d['c_0011_0']), 'c_0110_4' : d['c_0011_1'], 'c_0110_6' : negation(d['c_0011_5']), 'c_1010_6' : negation(d['c_0101_5']), 'c_1010_5' : d['c_0011_3'], 'c_1010_4' : d['c_0011_3'], 'c_1010_3' : negation(d['c_0011_0']), 'c_1010_2' : negation(d['c_0101_5']), 'c_1010_1' : negation(d['c_0110_0']), '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_1, c_0011_3, c_0011_5, c_0101_1, c_0101_5, c_0110_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t - 3988677/999808*c_0110_0^15 + 6477317/999808*c_0110_0^14 + 581589/15622*c_0110_0^13 - 27731819/499904*c_0110_0^12 - 143943213/999808*c_0110_0^11 + 46866903/249952*c_0110_0^10 + 149148443/499904*c_0110_0^9 - 169371459/499904*c_0110_0^8 - 342822961/999808*c_0110_0^7 + 180400769/499904*c_0110_0^6 + 207394041/999808*c_0110_0^5 - 117921607/499904*c_0110_0^4 - 48481869/999808*c_0110_0^3 + 49304621/499904*c_0110_0^2 - 6272479/999808*c_0110_0 - 1497667/62488, c_0011_0 - 1, c_0011_1 + c_0110_0^2 - 1, c_0011_3 + 6031/7811*c_0110_0^15 - 7012/7811*c_0110_0^14 - 55872/7811*c_0110_0^13 + 54808/7811*c_0110_0^12 + 206353/7811*c_0110_0^11 - 161273/7811*c_0110_0^10 - 379386/7811*c_0110_0^9 + 252866/7811*c_0110_0^8 + 347109/7811*c_0110_0^7 - 241574/7811*c_0110_0^6 - 146065/7811*c_0110_0^5 + 132892/7811*c_0110_0^4 + 20388/7811*c_0110_0^3 - 46377/7811*c_0110_0^2 - 2186/7811*c_0110_0 + 5305/7811, c_0011_5 + 2574/7811*c_0110_0^15 - 3762/7811*c_0110_0^14 - 22802/7811*c_0110_0^13 + 31116/7811*c_0110_0^12 + 78555/7811*c_0110_0^11 - 98633/7811*c_0110_0^10 - 130518/7811*c_0110_0^9 + 162257/7811*c_0110_0^8 + 102251/7811*c_0110_0^7 - 148009/7811*c_0110_0^6 - 36933/7811*c_0110_0^5 + 68348/7811*c_0110_0^4 + 17524/7811*c_0110_0^3 - 20691/7811*c_0110_0^2 - 9670/7811*c_0110_0 + 3343/7811, c_0101_1 + c_0110_0^3 - 2*c_0110_0, c_0101_5 - 4324/7811*c_0110_0^15 + 12929/7811*c_0110_0^14 + 32466/7811*c_0110_0^13 - 113266/7811*c_0110_0^12 - 91360/7811*c_0110_0^11 + 388684/7811*c_0110_0^10 + 120606/7811*c_0110_0^9 - 674216/7811*c_0110_0^8 - 38897/7811*c_0110_0^7 + 613672/7811*c_0110_0^6 - 82579/7811*c_0110_0^5 - 287611/7811*c_0110_0^4 + 84492/7811*c_0110_0^3 + 75015/7811*c_0110_0^2 - 36800/7811*c_0110_0 - 13530/7811, c_0110_0^16 - c_0110_0^15 - 10*c_0110_0^14 + 8*c_0110_0^13 + 41*c_0110_0^12 - 24*c_0110_0^11 - 88*c_0110_0^10 + 38*c_0110_0^9 + 105*c_0110_0^8 - 38*c_0110_0^7 - 71*c_0110_0^6 + 26*c_0110_0^5 + 27*c_0110_0^4 - 14*c_0110_0^3 - 7*c_0110_0^2 + 4*c_0110_0 + 2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB