Magma V2.19-8 Tue Aug 20 2013 16:17:25 on localhost [Seed = 240095943] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1648 geometric_solution 5.39085307 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1230 3012 0132 2310 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 0 0 0 1.633903350018 0.229493983208 0 2 2 0 3201 0132 1023 0132 0 0 0 0 0 0 1 -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 0 0 0 0 0 -1 1 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 1.280566448432 0.572474586145 3 1 1 4 0132 0132 1023 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 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 0.331083081771 0.421187388354 2 4 6 5 0132 2310 0132 0132 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 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 -0.181412467352 1.019963456862 6 5 2 3 2310 2310 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 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 -0.181412467352 1.019963456862 5 5 3 4 1302 2031 0132 3201 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 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 0.169033165176 0.950362750665 6 6 4 3 1230 3012 3201 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 1 -1 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 0.169033165176 0.950362750665 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : 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' : d['1'], 's_2_2' : d['1'], 's_2_3' : 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' : 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' : 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' : negation(d['c_0011_4']), 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : negation(d['c_0011_1']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_1'], 'c_1100_0' : d['c_0011_1'], 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : negation(d['c_0011_1']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0011_5']), 'c_0101_4' : d['c_0011_6'], 'c_0101_3' : d['c_0011_6'], 'c_0101_2' : negation(d['c_0011_5']), 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_6'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_1'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : d['c_0101_6'], 'c_1001_4' : negation(d['c_0011_5']), 'c_1001_6' : negation(d['c_0011_6']), 'c_1001_1' : negation(d['c_0011_5']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0101_6']), 'c_1001_2' : negation(d['c_0011_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : negation(d['c_0011_5']), 'c_0110_2' : d['c_0011_6'], 'c_0110_5' : negation(d['c_0101_6']), 'c_0110_4' : negation(d['c_0101_6']), 'c_0110_6' : d['c_0011_6'], 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : d['c_0011_5'], 'c_1010_4' : d['c_0101_6'], 'c_1010_3' : d['c_0101_6'], 'c_1010_2' : negation(d['c_0011_5']), 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(d['c_0101_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_4, c_0011_5, c_0011_6, c_0101_0, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t - 53*c_0101_6^8 - 238*c_0101_6^7 - 138*c_0101_6^6 + 578*c_0101_6^5 + 541*c_0101_6^4 - 518*c_0101_6^3 - 457*c_0101_6^2 + 116*c_0101_6 + 143, c_0011_0 - 1, c_0011_1 - c_0101_6, c_0011_4 - c_0101_6^8 - 4*c_0101_6^7 + 14*c_0101_6^5 + 7*c_0101_6^4 - 15*c_0101_6^3 - 6*c_0101_6^2 + 4*c_0101_6 + 2, c_0011_5 - c_0101_6^8 - 4*c_0101_6^7 + 14*c_0101_6^5 + 7*c_0101_6^4 - 16*c_0101_6^3 - 8*c_0101_6^2 + 5*c_0101_6 + 3, c_0011_6 - c_0101_6^3 - 2*c_0101_6^2 + c_0101_6 + 1, c_0101_0 + 2*c_0101_6^8 + 9*c_0101_6^7 + 5*c_0101_6^6 - 23*c_0101_6^5 - 21*c_0101_6^4 + 22*c_0101_6^3 + 18*c_0101_6^2 - 6*c_0101_6 - 5, c_0101_6^9 + 5*c_0101_6^8 + 5*c_0101_6^7 - 9*c_0101_6^6 - 15*c_0101_6^5 + 4*c_0101_6^4 + 12*c_0101_6^3 + 2*c_0101_6^2 - 3*c_0101_6 - 1 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_4, c_0011_5, c_0011_6, c_0101_0, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 26989323246/1199232673*c_0101_6^9 - 107764268043/2398465346*c_0101_6^8 - 1994787538681/1199232673*c_0101_6^7 + 3429208579697/2398465346*c_0101_6^6 + 9880984426730/1199232673*c_0101_6^5 + 10159030160/3215101*c_0101_6^4 - 4585979185055/1199232673*c_0101_6^3 - 1667807548237/1199232673*c_0101_6^2 + 456018548314/1199232673*c_0101_6 - 83712776307/2398465346, c_0011_0 - 1, c_0011_1 + 233838104/1199232673*c_0101_6^9 - 597875007/1199232673*c_0101_6^8 - 16869976942/1199232673*c_0101_6^7 + 24112360476/1199232673*c_0101_6^6 + 66464407748/1199232673*c_0101_6^5 + 9107209/3215101*c_0101_6^4 - 19340373996/1199232673*c_0101_6^3 - 504232165/1199232673*c_0101_6^2 - 2609650122/1199232673*c_0101_6 + 96738034/1199232673, c_0011_4 - 186890910/1199232673*c_0101_6^9 + 259797016/1199232673*c_0101_6^8 + 14082174418/1199232673*c_0101_6^7 - 3594659124/1199232673*c_0101_6^6 - 78767302318/1199232673*c_0101_6^5 - 171862352/3215101*c_0101_6^4 + 31106945706/1199232673*c_0101_6^3 + 30134556488/1199232673*c_0101_6^2 - 3350474086/1199232673*c_0101_6 - 1534052104/1199232673, c_0011_5 - 278867104/1199232673*c_0101_6^9 + 522418968/1199232673*c_0101_6^8 + 20658304606/1199232673*c_0101_6^7 - 15076651723/1199232673*c_0101_6^6 - 102894560578/1199232673*c_0101_6^5 - 153606877/3215101*c_0101_6^4 + 43913833560/1199232673*c_0101_6^3 + 30875540604/1199232673*c_0101_6^2 - 4231989414/1199232673*c_0101_6 - 1489075610/1199232673, c_0011_6 + 278867104/1199232673*c_0101_6^9 - 522418968/1199232673*c_0101_6^8 - 20658304606/1199232673*c_0101_6^7 + 15076651723/1199232673*c_0101_6^6 + 102894560578/1199232673*c_0101_6^5 + 153606877/3215101*c_0101_6^4 - 43913833560/1199232673*c_0101_6^3 - 30875540604/1199232673*c_0101_6^2 + 4231989414/1199232673*c_0101_6 + 1489075610/1199232673, c_0101_0 + 422742248/1199232673*c_0101_6^9 - 925776230/1199232673*c_0101_6^8 - 31078858260/1199232673*c_0101_6^7 + 32891985409/1199232673*c_0101_6^6 + 149351101914/1199232673*c_0101_6^5 + 80490160/3215101*c_0101_6^4 - 81024113196/1199232673*c_0101_6^3 - 17274420139/1199232673*c_0101_6^2 + 8650929564/1199232673*c_0101_6 + 336362547/1199232673, c_0101_6^10 - 2*c_0101_6^9 - 74*c_0101_6^8 + 64*c_0101_6^7 + 373*c_0101_6^6 + 132*c_0101_6^5 - 204*c_0101_6^4 - 72*c_0101_6^3 + 32*c_0101_6^2 + 4*c_0101_6 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB