Magma V2.19-8 Tue Aug 20 2013 16:15:56 on localhost [Seed = 1393741678] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0176 geometric_solution 3.98123453 oriented_manifold CS_known -0.0000000000000005 1 0 torus 0.000000000000 0.000000000000 7 1 2 1 3 0132 0132 0213 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 1 -1 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 -0.505128148728 0.892229370461 0 0 4 2 0132 0213 0132 1230 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.008971391932 1.664419875936 1 0 3 3 3012 0132 2031 0321 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 1 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.021412860995 0.876526201363 4 2 0 2 2310 0321 0132 1302 0 0 0 0 0 0 1 -1 -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 0 0 0 0 1 0 0 -1 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1.906471007592 1.607830252758 5 5 3 1 0132 2310 3201 0132 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 -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 0.027129527493 0.158472738866 4 6 6 4 0132 0132 3201 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 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 -0.974487434892 0.979585571004 5 5 6 6 2310 0132 2031 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3.208129053155 0.566457348619 ==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' : d['c_0101_6'], 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : negation(d['c_0011_3']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_3']), 'c_1100_0' : d['c_0101_2'], 'c_1100_3' : d['c_0101_2'], 'c_1100_2' : d['c_0101_4'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_1'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_0']), 'c_0011_5' : negation(d['c_0011_4']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_4'], '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_6']), 'c_1001_4' : negation(d['c_0101_1']), 'c_1001_6' : d['c_0101_1'], 'c_1001_1' : negation(d['c_0101_4']), 'c_1001_0' : negation(d['c_0101_4']), 'c_1001_3' : d['c_0101_4'], 'c_1001_2' : d['c_0101_4'], 'c_0110_1' : negation(d['c_0011_0']), 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_4']), 'c_0110_2' : negation(d['c_0011_3']), 'c_0110_5' : d['c_0101_4'], 'c_0110_4' : d['c_0101_1'], 'c_0110_6' : negation(d['c_0101_1']), 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : negation(d['c_0101_4']), 'c_1010_3' : negation(d['c_0101_4']), 'c_1010_2' : negation(d['c_0101_4']), 'c_1010_1' : d['c_0101_2'], 'c_1010_0' : d['c_0101_4']})} 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_4, c_0101_1, c_0101_2, c_0101_4, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 2088/575*c_0101_6^9 - 3383/575*c_0101_6^8 + 23493/575*c_0101_6^7 - 4743/115*c_0101_6^6 - 57/115*c_0101_6^5 + 20902/575*c_0101_6^4 - 761/23*c_0101_6^3 + 6614/575*c_0101_6^2 - 11456/575*c_0101_6 + 1292/575, c_0011_0 - 1, c_0011_3 + 660/1817*c_0101_6^9 + 1530/1817*c_0101_6^8 - 5948/1817*c_0101_6^7 + 4543/1817*c_0101_6^6 + 537/1817*c_0101_6^5 - 5191/1817*c_0101_6^4 - 252/1817*c_0101_6^3 + 1739/1817*c_0101_6^2 + 633/1817*c_0101_6 + 781/1817, c_0011_4 - 560/1817*c_0101_6^9 - 1133/1817*c_0101_6^8 + 6148/1817*c_0101_6^7 - 3249/1817*c_0101_6^6 - 4420/1817*c_0101_6^5 + 5781/1817*c_0101_6^4 - 3255/1817*c_0101_6^3 - 99/1817*c_0101_6^2 - 3180/1817*c_0101_6 - 57/1817, c_0101_1 + 1207/1817*c_0101_6^9 + 3211/1817*c_0101_6^8 - 10305/1817*c_0101_6^7 + 3372/1817*c_0101_6^6 + 5698/1817*c_0101_6^5 - 10867/1817*c_0101_6^4 + 1224/1817*c_0101_6^3 - 919/1817*c_0101_6^2 + 2636/1817*c_0101_6 - 419/1817, c_0101_2 + 660/1817*c_0101_6^9 + 1530/1817*c_0101_6^8 - 5948/1817*c_0101_6^7 + 4543/1817*c_0101_6^6 + 537/1817*c_0101_6^5 - 5191/1817*c_0101_6^4 - 252/1817*c_0101_6^3 + 1739/1817*c_0101_6^2 + 633/1817*c_0101_6 - 1036/1817, c_0101_4 + 232/1817*c_0101_6^9 + 703/1817*c_0101_6^8 - 1353/1817*c_0101_6^7 + 749/1817*c_0101_6^6 - 2322/1817*c_0101_6^5 + 2459/1817*c_0101_6^4 - 1377/1817*c_0101_6^3 - 2373/1817*c_0101_6^2 - 240/1817*c_0101_6 - 210/1817, c_0101_6^10 + 2*c_0101_6^9 - 10*c_0101_6^8 + 9*c_0101_6^7 - 9*c_0101_6^5 + 6*c_0101_6^4 - 3*c_0101_6^3 + 4*c_0101_6^2 - 2*c_0101_6 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB