Magma V2.19-8 Tue Aug 20 2013 16:18:22 on localhost [Seed = 1343343998] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2570 geometric_solution 5.87158756 oriented_manifold CS_known 0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 3 0132 0132 0132 3201 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 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 0.506580504635 0.570927241977 0 4 2 4 0132 0132 1230 2103 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 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.651499724383 0.608256847877 4 0 5 1 0321 0132 0132 3012 0 0 0 0 0 0 0 0 0 0 -1 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 -1 0 1 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 1.262776360713 0.867557176468 6 0 6 0 0132 2310 2310 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 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.356498866933 0.725048782219 2 1 6 1 0321 0132 3120 2103 0 0 0 0 0 0 0 0 0 0 0 0 1 0 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.611778822868 0.843850664852 5 5 6 2 1302 2031 1230 0132 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 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 0.568777749151 0.669331789968 3 3 4 5 0132 3201 3120 3012 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 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 0.375500483209 1.971572041228 ==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' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : negation(d['1']), 's_1_0' : negation(d['1']), 's_0_6' : d['1'], 's_0_4' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : d['c_0101_2'], 'c_1100_5' : d['c_0101_3'], 'c_1100_4' : negation(d['c_0101_0']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : negation(d['c_0011_3']), 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : d['c_0101_3'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0011_5']), 'c_0101_4' : negation(d['c_0101_2']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], '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_2']), 'c_1001_4' : d['c_0101_3'], 'c_1001_6' : negation(d['c_0101_3']), 'c_1001_1' : negation(d['c_0101_3']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0011_5']), 'c_1001_2' : d['c_0011_5'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_0']), 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0011_0'], 'c_0110_6' : d['c_0101_3'], 'c_1010_6' : d['c_0011_5'], 'c_1010_5' : d['c_0011_5'], 'c_1010_4' : negation(d['c_0101_3']), 'c_1010_3' : negation(d['c_0101_1']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : d['c_0101_3'], 'c_1010_0' : 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_3, c_0011_5, c_0101_0, c_0101_1, c_0101_2, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t + 1122209/66436*c_0101_3^14 - 1860723/33218*c_0101_3^12 + 773892/16609*c_0101_3^10 + 209395/66436*c_0101_3^8 - 676661/33218*c_0101_3^6 + 1176079/33218*c_0101_3^4 - 1625823/66436*c_0101_3^2 + 370557/66436, c_0011_0 - 1, c_0011_3 - 7865/1954*c_0101_3^14 + 15356/977*c_0101_3^12 - 21991/977*c_0101_3^10 + 39893/1954*c_0101_3^8 - 17457/977*c_0101_3^6 + 10021/977*c_0101_3^4 - 10741/1954*c_0101_3^2 + 3757/1954, c_0011_5 + 13728/977*c_0101_3^15 - 60250/977*c_0101_3^13 + 106949/977*c_0101_3^11 - 123473/977*c_0101_3^9 + 110377/977*c_0101_3^7 - 63120/977*c_0101_3^5 + 28287/977*c_0101_3^3 - 6007/977*c_0101_3, c_0101_0 - 7623/1954*c_0101_3^15 + 20009/977*c_0101_3^13 - 41170/977*c_0101_3^11 + 98007/1954*c_0101_3^9 - 42878/977*c_0101_3^7 + 26487/977*c_0101_3^5 - 24329/1954*c_0101_3^3 + 8331/1954*c_0101_3, c_0101_1 - 13871/1954*c_0101_3^15 + 27864/977*c_0101_3^13 - 46760/977*c_0101_3^11 + 111071/1954*c_0101_3^9 - 51891/977*c_0101_3^7 + 32133/977*c_0101_3^5 - 32337/1954*c_0101_3^3 + 7301/1954*c_0101_3, c_0101_2 - 7623/1954*c_0101_3^14 + 20009/977*c_0101_3^12 - 41170/977*c_0101_3^10 + 98007/1954*c_0101_3^8 - 42878/977*c_0101_3^6 + 26487/977*c_0101_3^4 - 24329/1954*c_0101_3^2 + 6377/1954, c_0101_3^16 - 49/11*c_0101_3^14 + 90/11*c_0101_3^12 - 107/11*c_0101_3^10 + 97/11*c_0101_3^8 - 60/11*c_0101_3^6 + 29/11*c_0101_3^4 - 8/11*c_0101_3^2 + 1/11 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB