Magma V2.19-8 Tue Aug 20 2013 16:17:23 on localhost [Seed = 3204391539] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1609 geometric_solution 5.36843975 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 1 0 0 1 0132 1230 3012 3201 0 0 0 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 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 -0.190892792583 0.161053658468 0 0 2 2 0132 2310 2310 0132 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 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 2.235617277965 2.470364018183 3 1 1 4 0132 3201 0132 0132 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 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 0.298512723003 0.420733461380 2 4 6 5 0132 2310 0132 0132 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 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 -0.210419068994 1.040930676494 6 5 2 3 2310 2310 0132 3201 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 -1 1 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 -0.210419068994 1.040930676494 5 5 3 4 1302 2031 0132 3201 0 0 0 0 0 1 -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 1 -1 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 0.186572681387 0.922964008822 6 6 4 3 1230 3012 3201 0132 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 0 0 0 0 0 0 0 0 0 0 0.186572681387 0.922964008822 ==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' : d['c_0011_2'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_2'], 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : d['c_0011_2'], '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' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_5']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], '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' : d['c_0101_6'], 'c_1001_4' : negation(d['c_0011_5']), 'c_1001_6' : negation(d['c_0011_6']), 'c_1001_1' : 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_0101_1']), 'c_0110_1' : negation(d['c_0011_5']), 'c_0110_0' : d['c_0101_1'], '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_0101_1']), '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_2, c_0011_4, c_0011_5, c_0011_6, c_0101_1, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 97372/2703*c_0101_6^5 - 1143919/5406*c_0101_6^4 + 995899/901*c_0101_6^3 + 2292145/5406*c_0101_6^2 - 678730/901*c_0101_6 + 793261/5406, c_0011_0 - 1, c_0011_2 + 152/901*c_0101_6^5 + 991/901*c_0101_6^4 - 4122/901*c_0101_6^3 - 5013/901*c_0101_6^2 + 2762/901*c_0101_6 + 167/901, c_0011_4 + 246/901*c_0101_6^5 + 1592/901*c_0101_6^4 - 6600/901*c_0101_6^3 - 7224/901*c_0101_6^2 + 3166/901*c_0101_6 + 1112/901, c_0011_5 + 152/901*c_0101_6^5 + 991/901*c_0101_6^4 - 4122/901*c_0101_6^3 - 5013/901*c_0101_6^2 + 2762/901*c_0101_6 + 1068/901, c_0011_6 - 152/901*c_0101_6^5 - 991/901*c_0101_6^4 + 4122/901*c_0101_6^3 + 5013/901*c_0101_6^2 - 2762/901*c_0101_6 - 1068/901, c_0101_1 + 404/901*c_0101_6^5 + 2468/901*c_0101_6^4 - 11762/901*c_0101_6^3 - 7183/901*c_0101_6^2 + 5302/901*c_0101_6 + 515/901, c_0101_6^6 + 6*c_0101_6^5 - 30*c_0101_6^4 - 16*c_0101_6^3 + 21*c_0101_6^2 - 1 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0011_4, c_0011_5, c_0011_6, c_0101_1, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t + 542769/1675*c_0101_6^6 + 1451266/1675*c_0101_6^5 + 4955791/1675*c_0101_6^4 + 2729703/1675*c_0101_6^3 - 5219469/1675*c_0101_6^2 - 4803887/1675*c_0101_6 - 1708721/1675, c_0011_0 - 1, c_0011_2 + c_0101_6, c_0011_4 - 62/67*c_0101_6^6 - 153/67*c_0101_6^5 - 531/67*c_0101_6^4 - 195/67*c_0101_6^3 + 616/67*c_0101_6^2 + 401/67*c_0101_6 + 84/67, c_0011_5 - 59/67*c_0101_6^6 - 151/67*c_0101_6^5 - 528/67*c_0101_6^4 - 245/67*c_0101_6^3 + 530/67*c_0101_6^2 + 454/67*c_0101_6 + 121/67, c_0011_6 + 3/67*c_0101_6^6 + 2/67*c_0101_6^5 + 3/67*c_0101_6^4 - 50/67*c_0101_6^3 - 86/67*c_0101_6^2 + 53/67*c_0101_6 + 37/67, c_0101_1 + 19/67*c_0101_6^6 + 35/67*c_0101_6^5 + 153/67*c_0101_6^4 - 4/67*c_0101_6^3 - 98/67*c_0101_6^2 - 44/67*c_0101_6 - 56/67, c_0101_6^7 + 3*c_0101_6^6 + 10*c_0101_6^5 + 8*c_0101_6^4 - 8*c_0101_6^3 - 12*c_0101_6^2 - 6*c_0101_6 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB