Magma V2.19-8 Tue Aug 20 2013 16:16:54 on localhost [Seed = 1031578080] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1157 geometric_solution 5.03227257 oriented_manifold CS_known -0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 3 0132 0132 0132 3201 0 0 0 0 0 0 1 -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 0 0 0 0 1 -1 1 0 0 -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 1.385083617860 1.293066986676 0 4 3 5 0132 0132 1302 0132 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 0 2 -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 0.770849325354 0.932929234326 6 0 5 4 0132 0132 3012 3012 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.446826300040 0.710884492662 1 0 4 0 2031 2310 1302 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 1 0 -1 0 0 0 0 -1 1 0 0 -2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.614234292506 0.360137752349 3 1 2 5 2031 0132 1230 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.026366726875 0.435285406626 4 2 1 6 3012 1230 0132 0132 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 0 0.688013326800 0.089533381187 2 6 5 6 0132 2310 0132 3201 0 0 0 0 0 0 0 0 0 0 1 -1 -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 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.850332719543 0.159677922127 ==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' : d['1'], 's_3_5' : negation(d['1']), 's_3_4' : d['1'], 's_3_0' : d['1'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : negation(d['1']), 's_2_6' : negation(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' : d['1'], 's_1_0' : negation(d['1']), 's_0_6' : negation(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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : negation(d['c_0011_0']), 'c_1100_5' : negation(d['c_0011_0']), 'c_1100_4' : d['c_0101_6'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : negation(d['c_0011_3']), 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : negation(d['c_1001_4']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : negation(d['c_0011_3']), 'c_0101_3' : negation(d['c_0011_0']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_3']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_6' : d['c_0011_0'], '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_4'], 'c_1001_4' : d['c_1001_4'], 'c_1001_6' : d['c_0101_2'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_0011_3'], 'c_1001_3' : d['c_0011_5'], 'c_1001_2' : negation(d['c_0011_5']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_3']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : d['c_0101_6'], 'c_0110_4' : d['c_0011_5'], 'c_0110_6' : d['c_0101_2'], 'c_1010_6' : negation(d['c_0101_2']), 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : d['c_0101_0'], 'c_1010_3' : d['c_0011_3'], 'c_1010_2' : d['c_0011_3'], 'c_1010_1' : d['c_1001_4'], 'c_1010_0' : negation(d['c_0011_5'])})} 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_2, c_0101_6, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 115712/3159*c_1001_4^5 - 18176/1053*c_1001_4^4 - 544640/3159*c_1001_4^3 + 147520/1053*c_1001_4^2 + 442400/3159*c_1001_4 - 410272/3159, c_0011_0 - 1, c_0011_3 + 1/2, c_0011_5 - 320/81*c_1001_4^5 - 64/27*c_1001_4^4 + 1244/81*c_1001_4^3 + 32/27*c_1001_4^2 - 920/81*c_1001_4 + 118/81, c_0101_0 - 64/27*c_1001_4^5 - 8/9*c_1001_4^4 + 256/27*c_1001_4^3 - 8/9*c_1001_4^2 - 184/27*c_1001_4 + 38/27, c_0101_2 + 32/81*c_1001_4^5 + 16/27*c_1001_4^4 - 56/81*c_1001_4^3 + 4/27*c_1001_4^2 - 16/81*c_1001_4 - 64/81, c_0101_6 + 256/81*c_1001_4^5 + 80/27*c_1001_4^4 - 952/81*c_1001_4^3 - 112/27*c_1001_4^2 + 736/81*c_1001_4 - 8/81, c_1001_4^6 - 1/2*c_1001_4^5 - 19/4*c_1001_4^4 + 31/8*c_1001_4^3 + 61/16*c_1001_4^2 - 113/32*c_1001_4 + 13/64 ], 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_2, c_0101_6, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t - 91532/85877*c_1001_4^10 + 487398/85877*c_1001_4^9 + 10655/85877*c_1001_4^8 - 6114857/171754*c_1001_4^7 + 3139099/85877*c_1001_4^6 + 10136457/171754*c_1001_4^5 - 8102302/85877*c_1001_4^4 - 1306038/85877*c_1001_4^3 + 11172895/171754*c_1001_4^2 - 983232/85877*c_1001_4 - 842167/171754, c_0011_0 - 1, c_0011_3 - 54332/7807*c_1001_4^10 + 140978/7807*c_1001_4^9 + 97325/7807*c_1001_4^8 - 1035923/15614*c_1001_4^7 + 196603/15614*c_1001_4^6 + 606551/7807*c_1001_4^5 - 238464/7807*c_1001_4^4 - 275063/7807*c_1001_4^3 + 185517/15614*c_1001_4^2 + 48179/15614*c_1001_4 - 11839/7807, c_0011_5 + 4904/7807*c_1001_4^10 - 10444/7807*c_1001_4^9 - 11794/7807*c_1001_4^8 + 36087/7807*c_1001_4^7 - 1022/7807*c_1001_4^6 - 44425/15614*c_1001_4^5 + 23659/15614*c_1001_4^4 - 50363/15614*c_1001_4^3 + 1731/15614*c_1001_4^2 + 42479/15614*c_1001_4 - 658/7807, c_0101_0 - 4904/7807*c_1001_4^10 + 10444/7807*c_1001_4^9 + 11794/7807*c_1001_4^8 - 36087/7807*c_1001_4^7 + 1022/7807*c_1001_4^6 + 44425/15614*c_1001_4^5 - 23659/15614*c_1001_4^4 + 50363/15614*c_1001_4^3 - 1731/15614*c_1001_4^2 - 42479/15614*c_1001_4 + 658/7807, c_0101_2 - 5148/7807*c_1001_4^10 + 24922/7807*c_1001_4^9 - 18567/7807*c_1001_4^8 - 142271/15614*c_1001_4^7 + 213113/15614*c_1001_4^6 + 48302/7807*c_1001_4^5 - 251271/15614*c_1001_4^4 + 4645/15614*c_1001_4^3 + 42810/7807*c_1001_4^2 - 1744/7807*c_1001_4 + 2031/15614, c_0101_6 - 10412/7807*c_1001_4^10 + 33178/7807*c_1001_4^9 + 3721/7807*c_1001_4^8 - 222647/15614*c_1001_4^7 + 146203/15614*c_1001_4^6 + 118414/7807*c_1001_4^5 - 121847/7807*c_1001_4^4 - 48329/7807*c_1001_4^3 + 154407/15614*c_1001_4^2 + 9257/15614*c_1001_4 - 13733/7807, c_1001_4^11 - 5/2*c_1001_4^10 - 9/4*c_1001_4^9 + 79/8*c_1001_4^8 - 1/2*c_1001_4^7 - 105/8*c_1001_4^6 + 7/2*c_1001_4^5 + 59/8*c_1001_4^4 - 7/4*c_1001_4^3 - 11/8*c_1001_4^2 + 1/4*c_1001_4 + 1/8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB