Magma V2.19-8 Tue Aug 20 2013 16:14:57 on localhost [Seed = 3987501556] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s932 geometric_solution 5.84315610 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 6 1 2 3 3 0132 0132 0132 2310 0 0 0 0 0 -1 0 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 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 0.510703810937 0.774462219139 0 4 3 5 0132 0132 3012 0132 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 1 -1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.355488473621 0.731760740834 4 0 5 3 3201 0132 3201 3012 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.355488473621 0.731760740834 0 1 2 0 3201 1230 1230 0132 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 0.583049019971 0.922855006776 4 1 4 2 2310 0132 3201 2310 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 0 0 0 1 0 -1 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 0.053186872901 1.275094822698 2 5 1 5 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.053186872901 1.275094822698 ==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' : negation(d['1']), 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : negation(d['1']), 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : 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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_5' : negation(d['c_0011_5']), 'c_1100_4' : negation(d['c_0011_0']), 'c_1100_1' : negation(d['c_0011_5']), 'c_1100_0' : d['c_0011_3'], 'c_1100_3' : d['c_0011_3'], 'c_1100_2' : negation(d['c_0011_5']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_2'], 'c_0101_3' : negation(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' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], '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' : negation(d['c_0101_2']), 'c_1001_1' : negation(d['c_0011_3']), 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_0011_5'], 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_3'], 'c_0110_5' : negation(d['c_0101_2']), 'c_0110_4' : negation(d['c_0101_2']), 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : negation(d['c_0011_3']), 'c_1010_3' : d['c_0101_1'], 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : negation(d['c_0101_2']), 'c_1010_0' : negation(d['c_0101_0'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 7 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 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t + 3/2*c_0101_2^6 + 1/2*c_0101_2^5 - 1/2*c_0101_2^4 + 2*c_0101_2^3 + 1/2*c_0101_2^2 - 3/2*c_0101_2 - 2, c_0011_0 - 1, c_0011_3 + c_0101_2^6 - c_0101_2^4 + 2*c_0101_2^3 - c_0101_2, c_0011_5 - 1, c_0101_0 - c_0101_2^6 + c_0101_2^4 - 2*c_0101_2^3 + c_0101_2, c_0101_1 + c_0101_2^6 + 2*c_0101_2^3 - c_0101_2^2 - c_0101_2, c_0101_2^7 - c_0101_2^5 + 2*c_0101_2^4 - 2*c_0101_2^2 + 1 ], Ideal of Polynomial ring of rank 7 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 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 1082622/113335*c_0101_2^9 + 72358659/6573430*c_0101_2^8 - 42008133/3286715*c_0101_2^7 - 183109049/6573430*c_0101_2^6 - 15845227/3286715*c_0101_2^5 + 31587826/3286715*c_0101_2^4 - 4274122/3286715*c_0101_2^3 - 60261727/6573430*c_0101_2^2 - 27577/22667*c_0101_2 + 4068734/3286715, c_0011_0 - 1, c_0011_3 - 29*c_0101_2^9 - 31*c_0101_2^8 + 37*c_0101_2^7 + 41*c_0101_2^6 - 37*c_0101_2^5 - 23*c_0101_2^4 + 24*c_0101_2^3 + 7*c_0101_2^2 - 7*c_0101_2 - 1, c_0011_5 - 8023/1193*c_0101_2^9 + 563113/34597*c_0101_2^8 + 971554/34597*c_0101_2^7 - 574979/34597*c_0101_2^6 - 948866/34597*c_0101_2^5 + 684486/34597*c_0101_2^4 + 333378/34597*c_0101_2^3 - 10393/1193*c_0101_2^2 - 56586/34597*c_0101_2 + 72466/34597, c_0101_0 + 135885/1193*c_0101_2^9 + 3096109/34597*c_0101_2^8 - 4715872/34597*c_0101_2^7 - 3075007/34597*c_0101_2^6 + 4601893/34597*c_0101_2^5 + 582115/34597*c_0101_2^4 - 2151754/34597*c_0101_2^3 + 4562/1193*c_0101_2^2 + 415846/34597*c_0101_2 - 62563/34597, c_0101_1 - 144932/1193*c_0101_2^9 - 4027558/34597*c_0101_2^8 + 4236258/34597*c_0101_2^7 + 3999104/34597*c_0101_2^6 - 4212526/34597*c_0101_2^5 - 1435704/34597*c_0101_2^4 + 2109396/34597*c_0101_2^3 + 11992/1193*c_0101_2^2 - 418274/34597*c_0101_2 - 31760/34597, c_0101_2^10 + 31/29*c_0101_2^9 - 37/29*c_0101_2^8 - 41/29*c_0101_2^7 + 37/29*c_0101_2^6 + 23/29*c_0101_2^5 - 24/29*c_0101_2^4 - 7/29*c_0101_2^3 + 8/29*c_0101_2^2 + 1/29*c_0101_2 - 1/29 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB