Magma V2.19-8 Tue Aug 20 2013 16:17:49 on localhost [Seed = 2176851299] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2057 geometric_solution 5.58183737 oriented_manifold CS_known -0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 1 2 1 3 0132 0132 1023 0132 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 1 1 -2 -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 -1.196517063314 0.439506346980 0 4 0 5 0132 0132 1023 0132 0 0 0 0 0 0 0 0 1 0 -1 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 1 0 -1 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 0.220409625387 0.288923836949 4 0 3 6 0132 0132 3012 0132 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 -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 0.411051097553 1.410622444169 6 2 0 5 0132 1230 0132 1023 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 -1 2 -1 0 0 -1 1 -1 0 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.411051097553 1.410622444169 2 1 5 5 0132 0132 2310 1230 0 0 0 0 0 0 0 0 1 0 -1 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 1 0 -1 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 0.411051097553 1.410622444169 4 4 1 3 3012 3201 0132 1023 0 0 0 0 0 1 0 -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 0 -1 -1 0 0 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 0.411051097553 1.410622444169 3 6 2 6 0132 1302 0132 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.607216423525 0.457603850345 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(d['1']), 's_3_0' : 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' : d['1'], 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : negation(d['1']), 's_2_5' : negation(d['1']), 's_2_6' : d['1'], 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : negation(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_1100_0']), 'c_1100_4' : d['c_0011_5'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_1100_0']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_0011_3'], 'c_0101_6' : d['c_0101_4'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_1'], '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' : d['c_0011_0'], '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' : negation(d['c_0101_4']), 'c_1001_4' : negation(d['c_0101_4']), 'c_1001_6' : d['c_0101_1'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0011_3']), 'c_1001_2' : negation(d['c_0011_3']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_4'], 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : d['c_0011_5'], 'c_0110_4' : d['c_0011_5'], 'c_0110_6' : d['c_0101_1'], 'c_1010_6' : negation(d['c_0011_3']), 'c_1010_5' : d['c_0101_4'], 'c_1010_4' : d['c_0101_0'], 'c_1010_3' : d['c_0011_5'], 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : negation(d['c_0101_4']), 'c_1010_0' : negation(d['c_0011_3'])})} 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_4, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 9979175/137*c_0101_4^11 - 11290703/137*c_0101_4^10 + 56559685/548*c_0101_4^9 + 746660741/1096*c_0101_4^8 + 4499086081/2192*c_0101_4^7 + 8241184527/2192*c_0101_4^6 + 10893678193/2192*c_0101_4^5 + 9636734253/2192*c_0101_4^4 + 5868877665/2192*c_0101_4^3 + 2387611489/2192*c_0101_4^2 + 557081481/2192*c_0101_4 + 54154451/2192, c_0011_0 - 1, c_0011_3 + 2730330/137*c_0101_4^11 + 3134825/137*c_0101_4^10 - 3832837/137*c_0101_4^9 - 102452247/548*c_0101_4^8 - 77335531/137*c_0101_4^7 - 142074072/137*c_0101_4^6 - 376488709/274*c_0101_4^5 - 334458959/274*c_0101_4^4 - 204549269/274*c_0101_4^3 - 83696493/274*c_0101_4^2 - 19717607/274*c_0101_4 - 3885011/548, c_0011_5 + 452028/137*c_0101_4^11 + 527894/137*c_0101_4^10 - 627778/137*c_0101_4^9 - 8511129/274*c_0101_4^8 - 12881142/137*c_0101_4^7 - 47487055/274*c_0101_4^6 - 31542619/137*c_0101_4^5 - 56307869/274*c_0101_4^4 - 17296868/137*c_0101_4^3 - 14242503/274*c_0101_4^2 - 1694541/137*c_0101_4 - 169170/137, c_0101_0 - 901332/137*c_0101_4^11 - 1050118/137*c_0101_4^10 + 1253476/137*c_0101_4^9 + 16962175/274*c_0101_4^8 + 51326607/274*c_0101_4^7 + 94567301/274*c_0101_4^6 + 125589027/274*c_0101_4^5 + 112031453/274*c_0101_4^4 + 68794875/274*c_0101_4^3 + 28305281/274*c_0101_4^2 + 6728895/274*c_0101_4 + 335499/137, c_0101_1 + 1833948/137*c_0101_4^11 + 2087610/137*c_0101_4^10 - 2589488/137*c_0101_4^9 - 34347997/274*c_0101_4^8 - 103572359/274*c_0101_4^7 - 189940679/274*c_0101_4^6 - 251301565/274*c_0101_4^5 - 222673375/274*c_0101_4^4 - 135819571/274*c_0101_4^3 - 55373783/274*c_0101_4^2 - 12963647/274*c_0101_4 - 632609/137, c_0101_4^12 + 3/2*c_0101_4^11 - c_0101_4^10 - 79/8*c_0101_4^9 - 253/8*c_0101_4^8 - 62*c_0101_4^7 - 349/4*c_0101_4^6 - 171/2*c_0101_4^5 - 59*c_0101_4^4 - 57/2*c_0101_4^3 - 9*c_0101_4^2 - 13/8*c_0101_4 - 1/8, c_1100_0 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB