Magma V2.19-8 Tue Aug 20 2013 16:18:34 on localhost [Seed = 3920131291] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2755 geometric_solution 5.99499801 oriented_manifold CS_known 0.0000000000000003 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 7 1 1 2 3 0132 3201 0132 0132 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 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 0.236304967125 0.599252443779 0 1 0 1 0132 2310 2310 3201 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 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 -1.030022749556 0.701041947601 4 3 5 0 0132 3012 0132 0132 0 0 0 1 0 0 0 0 -1 0 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 1 -1 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 1.126630659137 1.020485218197 2 5 0 4 1230 1023 0132 1023 0 0 1 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 -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 1.126630659137 1.020485218197 2 5 6 3 0132 3120 0132 1023 0 0 1 0 0 0 0 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 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 0.484085315512 0.565627719812 3 4 6 2 1023 3120 3201 0132 0 0 1 0 0 0 0 0 0 0 0 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 1 -1 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 0.484085315512 0.565627719812 5 6 6 4 2310 3201 2310 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 1 -1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.644810630553 0.892370368987 ==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' : 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' : 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_6'], 'c_1100_5' : negation(d['c_0011_6']), 'c_1100_4' : d['c_0011_6'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : negation(d['c_0011_6']), 'c_1100_3' : negation(d['c_0011_6']), 'c_1100_2' : negation(d['c_0011_6']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0101_0']), 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_2']), 'c_0011_4' : negation(d['c_0011_2']), 'c_0011_6' : d['c_0011_6'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_2']), 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0101_6']), 'c_1001_4' : d['c_0101_6'], 'c_1001_6' : negation(d['c_0101_6']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_0']), 'c_1001_2' : d['c_0011_2'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_2'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_2'], 'c_0110_6' : d['c_0101_0'], 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : d['c_0011_2'], 'c_1010_4' : d['c_0011_2'], 'c_1010_3' : d['c_0101_2'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_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_2, c_0011_6, c_0101_0, c_0101_1, c_0101_2, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t + 13242158/18571873*c_0101_6^8 + 82322199/37143746*c_0101_6^7 - 43883831/37143746*c_0101_6^6 - 158055336/18571873*c_0101_6^5 - 325826823/18571873*c_0101_6^4 - 452102054/18571873*c_0101_6^3 - 29460407/1954934*c_0101_6^2 - 32278307/37143746*c_0101_6 - 312892477/18571873, c_0011_0 - 1, c_0011_2 - 1, c_0011_6 - 356961/977467*c_0101_6^8 - 519061/3909868*c_0101_6^7 + 902612/977467*c_0101_6^6 + 1993177/977467*c_0101_6^5 + 13295517/3909868*c_0101_6^4 + 12733261/3909868*c_0101_6^3 - 2342483/1954934*c_0101_6^2 + 2096094/977467*c_0101_6 - 10359/3909868, c_0101_0 + 501819/977467*c_0101_6^8 + 813887/3909868*c_0101_6^7 - 2180115/1954934*c_0101_6^6 - 2851825/977467*c_0101_6^5 - 21269009/3909868*c_0101_6^4 - 20315765/3909868*c_0101_6^3 + 523609/1954934*c_0101_6^2 - 7382885/1954934*c_0101_6 + 600417/3909868, c_0101_1 - 430004/977467*c_0101_6^8 - 174205/977467*c_0101_6^7 + 818317/977467*c_0101_6^6 + 2527033/977467*c_0101_6^5 + 4537018/977467*c_0101_6^4 + 5200940/977467*c_0101_6^3 + 372547/977467*c_0101_6^2 + 3546571/977467*c_0101_6 + 112768/977467, c_0101_2 - 590058/977467*c_0101_6^8 - 5313/1954934*c_0101_6^7 + 1401337/977467*c_0101_6^6 + 6115747/1954934*c_0101_6^5 + 9198777/1954934*c_0101_6^4 + 3022120/977467*c_0101_6^3 - 6446513/1954934*c_0101_6^2 + 3515998/977467*c_0101_6 - 1742863/977467, c_0101_6^9 + 1/4*c_0101_6^8 - 9/4*c_0101_6^7 - 11/2*c_0101_6^6 - 37/4*c_0101_6^5 - 17/2*c_0101_6^4 + 9/4*c_0101_6^3 - 15/2*c_0101_6^2 + 1/4*c_0101_6 + 1/4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.000 Total time: 0.200 seconds, Total memory usage: 32.09MB