Magma V2.19-8 Tue Aug 20 2013 16:09:00 on localhost [Seed = 509575333] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation m276 geometric_solution 4.32601442 oriented_manifold CS_known -0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 5 0 1 2 0 3012 0132 0132 1230 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 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 -0.241970475039 0.943902970465 2 0 3 2 2310 0132 0132 2031 0 0 0 0 0 1 -1 0 -1 0 0 1 -1 0 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 1 0 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 0.448517190706 0.675798921755 3 1 1 0 0132 1302 3201 0132 0 0 0 0 0 -1 1 0 0 0 1 -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 1 0 -1 0 0 -1 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 0.448517190706 0.675798921755 2 4 4 1 0132 0132 1023 0132 0 0 0 0 0 0 -1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.645895839748 0.311860035317 4 3 3 4 3201 0132 1023 2310 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.048043628366 0.553071723088 ==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_4' : d['1'], 's_3_0' : negation(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_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_4' : d['1'], 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : d['1'], 'c_1100_4' : d['c_0011_2'], 'c_1100_1' : negation(d['c_0011_2']), 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : negation(d['c_0011_2']), 'c_1100_2' : d['c_0011_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_4' : d['c_0011_2'], '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_4' : d['c_0101_0'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_0011_2'], 'c_1001_3' : d['c_0101_4'], 'c_1001_2' : negation(d['c_0101_1']), 'c_0110_1' : negation(d['c_0101_1']), 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_0'], 'c_0110_4' : negation(d['c_0101_4']), 'c_1010_4' : d['c_0101_4'], 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_0011_2'], 'c_1010_1' : d['c_0011_2'], 'c_1010_0' : d['c_0101_0']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 6 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0101_0, c_0101_1, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t + 130647/26449*c_0101_4^10 + 564057/26449*c_0101_4^9 - 1409297/26449*c_0101_4^8 - 2737017/26449*c_0101_4^7 + 4239712/26449*c_0101_4^6 + 2748745/26449*c_0101_4^5 - 6164656/26449*c_0101_4^4 + 971587/26449*c_0101_4^3 + 3602118/26449*c_0101_4^2 - 1759276/26449*c_0101_4 - 290623/26449, c_0011_0 - 1, c_0011_2 + 7722/26449*c_0101_4^10 + 25075/26449*c_0101_4^9 - 108317/26449*c_0101_4^8 - 38394/26449*c_0101_4^7 + 276700/26449*c_0101_4^6 - 137912/26449*c_0101_4^5 - 195946/26449*c_0101_4^4 + 176624/26449*c_0101_4^3 - 5587/26449*c_0101_4^2 - 14749/26449*c_0101_4 - 12815/26449, c_0101_0 + 14014/26449*c_0101_4^10 + 56282/26449*c_0101_4^9 - 156412/26449*c_0101_4^8 - 201923/26449*c_0101_4^7 + 377751/26449*c_0101_4^6 + 48491/26449*c_0101_4^5 - 369320/26449*c_0101_4^4 + 195152/26449*c_0101_4^3 + 126024/26449*c_0101_4^2 - 93379/26449*c_0101_4 - 3665/26449, c_0101_1 - 380/26449*c_0101_4^10 - 9468/26449*c_0101_4^9 - 32271/26449*c_0101_4^8 + 78462/26449*c_0101_4^7 + 165101/26449*c_0101_4^6 - 188851/26449*c_0101_4^5 - 160834/26449*c_0101_4^4 + 259840/26449*c_0101_4^3 + 10934/26449*c_0101_4^2 - 119997/26449*c_0101_4 + 18414/26449, c_0101_4^11 + 4*c_0101_4^10 - 12*c_0101_4^9 - 17*c_0101_4^8 + 37*c_0101_4^7 + 10*c_0101_4^6 - 49*c_0101_4^5 + 19*c_0101_4^4 + 23*c_0101_4^3 - 18*c_0101_4^2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.000 Total time: 0.200 seconds, Total memory usage: 32.09MB