Magma V2.19-8 Tue Aug 20 2013 16:14:51 on localhost [Seed = 1562165554] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s830 geometric_solution 5.40283949 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 6 0 0 1 1 1230 3012 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 0 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 0.453436163754 0.280057535780 2 0 3 0 0132 2310 0132 0132 0 0 0 0 0 0 -1 1 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.950163235198 0.705933556650 1 3 4 5 0132 0213 0132 0132 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 -1 0 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.469621545530 0.671740541746 5 4 2 1 1023 3201 0213 0132 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 0.469621545530 0.671740541746 4 4 3 2 1302 2031 2310 0132 0 0 0 0 0 0 0 0 1 0 -1 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 0.725920363263 1.209627816136 5 3 2 5 3201 1023 0132 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -0.097423745132 1.022592215176 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : negation(d['1']), 's_3_0' : d['1'], 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : negation(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' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : negation(d['1']), 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : d['c_0011_3'], 'c_1100_1' : negation(d['c_0011_1']), 'c_1100_0' : negation(d['c_0011_1']), 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : d['c_0011_3'], 'c_0101_5' : d['c_0101_1'], 'c_0101_4' : negation(d['c_0011_4']), 'c_0101_3' : negation(d['c_0011_1']), 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_3'], 'c_0011_4' : d['c_0011_4'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : negation(d['c_0011_1']), 'c_1001_4' : negation(d['c_0101_0']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0011_4'], 'c_1001_2' : d['c_0011_4'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : negation(d['c_0101_1']), 'c_0110_4' : d['c_0101_0'], 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : d['c_0011_4'], 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : negation(d['c_0011_1']), 'c_1010_1' : negation(d['c_0011_0']), '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_1, c_0011_3, c_0011_4, c_0101_0, c_0101_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 22 Groebner basis: [ t + 3749139/264347*c_0101_0*c_0101_1^10 + 4775556/264347*c_0101_0*c_0101_1^9 - 13511108/264347*c_0101_0*c_0101_1^8 + 7814639/264347*c_0101_0*c_0101_1^7 + 3633904/13913*c_0101_0*c_0101_1^6 - 14566596/264347*c_0101_0*c_0101_1^5 - 60557355/264347*c_0101_0*c_0101_1^4 + 24684558/264347*c_0101_0*c_0101_1^3 - 48751722/264347*c_0101_0*c_0101_1^2 + 2906097/264347*c_0101_0*c_0101_1 + 18230971/264347*c_0101_0, c_0011_0 - 1, c_0011_1 + 1709/13913*c_0101_1^10 + 528/13913*c_0101_1^9 - 8536/13913*c_0101_1^8 + 9422/13913*c_0101_1^7 + 27198/13913*c_0101_1^6 - 39077/13913*c_0101_1^5 - 19683/13913*c_0101_1^4 + 33793/13913*c_0101_1^3 - 47881/13913*c_0101_1^2 + 28087/13913*c_0101_1 + 3594/13913, c_0011_3 + 36095/264347*c_0101_0*c_0101_1^10 + 70288/264347*c_0101_0*c_0101_1^9 - 88210/264347*c_0101_0*c_0101_1^8 - 2118/264347*c_0101_0*c_0101_1^7 + 35586/13913*c_0101_0*c_0101_1^6 + 321905/264347*c_0101_0*c_0101_1^5 - 476358/264347*c_0101_0*c_0101_1^4 - 212461/264347*c_0101_0*c_0101_1^3 - 505642/264347*c_0101_0*c_0101_1^2 - 190393/264347*c_0101_0*c_0101_1 + 197648/264347*c_0101_0, c_0011_4 + 18038/264347*c_0101_0*c_0101_1^10 + 22148/264347*c_0101_0*c_0101_1^9 - 98350/264347*c_0101_0*c_0101_1^8 - 4669/264347*c_0101_0*c_0101_1^7 + 22401/13913*c_0101_0*c_0101_1^6 - 168916/264347*c_0101_0*c_0101_1^5 - 853152/264347*c_0101_0*c_0101_1^4 + 113381/264347*c_0101_0*c_0101_1^3 + 54561/264347*c_0101_0*c_0101_1^2 - 83597/264347*c_0101_0*c_0101_1 + 358820/264347*c_0101_0, c_0101_0^2 + 1709/13913*c_0101_1^10 + 528/13913*c_0101_1^9 - 8536/13913*c_0101_1^8 + 9422/13913*c_0101_1^7 + 27198/13913*c_0101_1^6 - 39077/13913*c_0101_1^5 - 19683/13913*c_0101_1^4 + 33793/13913*c_0101_1^3 - 47881/13913*c_0101_1^2 + 28087/13913*c_0101_1 - 10319/13913, c_0101_1^11 + c_0101_1^10 - 4*c_0101_1^9 + 3*c_0101_1^8 + 18*c_0101_1^7 - 9*c_0101_1^6 - 16*c_0101_1^5 + 11*c_0101_1^4 - 14*c_0101_1^3 + 4*c_0101_1^2 + 5*c_0101_1 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB