Magma V2.19-8 Tue Aug 20 2013 16:19:25 on localhost [Seed = 2547387031] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3514 geometric_solution 6.80133959 oriented_manifold CS_known -0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 1 1 2 3 0132 2310 0132 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 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 0.789228225604 1.066001708705 0 4 5 0 0132 0132 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 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 0.178501492126 0.902791164323 3 5 6 0 1302 2031 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 -1 0 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.632952775477 0.537575572205 6 2 0 4 1230 2031 0132 0213 0 0 0 0 0 -1 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 0 0 0 0 -1 1 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 0.390718790066 0.775422342937 5 1 6 3 2310 0132 3201 0213 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 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 0.481764754854 1.028492097644 2 6 4 1 1302 0213 3201 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 0 0 0 0 0 0 -1 0 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.082167289986 0.779528052314 4 3 5 2 2310 3012 0213 0132 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 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 0.761762898717 0.784199193384 ==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' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : negation(d['1']), 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : negation(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' : negation(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' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : d['c_1001_1'], 'c_1100_5' : negation(d['c_0011_0']), 'c_1100_4' : d['c_0011_2'], 's_3_6' : negation(d['1']), 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_1001_1'], 'c_1100_3' : d['c_1001_1'], 'c_1100_2' : d['c_1001_1'], 'c_0101_6' : d['c_0011_5'], 'c_0101_5' : negation(d['c_0011_2']), 'c_0101_4' : d['c_0011_3'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : negation(d['c_0011_3']), '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_2']), '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' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0011_3']), 'c_1001_4' : negation(d['c_0011_5']), 'c_1001_6' : negation(d['c_0011_3']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0011_5'], 'c_1001_3' : negation(d['c_0101_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' : negation(d['c_0011_2']), 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0011_2'], 'c_0110_6' : negation(d['c_0011_3']), 'c_1010_6' : negation(d['c_0101_1']), 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_1001_1'], 'c_1010_3' : d['c_0011_2'], 'c_1010_2' : d['c_0011_5'], 'c_1010_1' : negation(d['c_0011_5']), '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_2, c_0011_3, c_0011_5, c_0101_0, c_0101_1, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t - 4109/1744*c_1001_1^8 - 11713/1744*c_1001_1^7 - 397/436*c_1001_1^6 + 44393/1744*c_1001_1^5 + 62867/1744*c_1001_1^4 - 74961/1744*c_1001_1^3 - 65869/1744*c_1001_1^2 + 17965/218*c_1001_1 - 17891/436, c_0011_0 - 1, c_0011_2 + 1223/3488*c_1001_1^8 + 853/872*c_1001_1^7 + 245/1744*c_1001_1^6 - 12969/3488*c_1001_1^5 - 4553/872*c_1001_1^4 + 22209/3488*c_1001_1^3 + 9253/1744*c_1001_1^2 - 9631/872*c_1001_1 + 2343/436, c_0011_3 + 311/1744*c_1001_1^8 + 267/436*c_1001_1^7 + 309/872*c_1001_1^6 - 3017/1744*c_1001_1^5 - 1579/436*c_1001_1^4 + 2961/1744*c_1001_1^3 + 3169/872*c_1001_1^2 - 2263/436*c_1001_1 + 509/218, c_0011_5 + 117/872*c_1001_1^8 + 169/436*c_1001_1^7 + 9/436*c_1001_1^6 - 1271/872*c_1001_1^5 - 819/436*c_1001_1^4 + 2607/872*c_1001_1^3 + 217/109*c_1001_1^2 - 1321/218*c_1001_1 + 345/109, c_0101_0 + 1, c_0101_1 + 117/872*c_1001_1^8 + 169/436*c_1001_1^7 + 9/436*c_1001_1^6 - 1271/872*c_1001_1^5 - 819/436*c_1001_1^4 + 2607/872*c_1001_1^3 + 217/109*c_1001_1^2 - 1321/218*c_1001_1 + 345/109, c_1001_1^9 + 2*c_1001_1^8 - 2*c_1001_1^7 - 11*c_1001_1^6 - 6*c_1001_1^5 + 31*c_1001_1^4 - 48*c_1001_1^2 + 48*c_1001_1 - 16 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.000 Total time: 0.210 seconds, Total memory usage: 32.09MB