Magma V2.19-8 Tue Aug 20 2013 16:14:12 on localhost [Seed = 2118115920] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s174 geometric_solution 4.26819110 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 6 0 0 1 1 1302 2031 0132 2310 0 0 0 0 0 0 0 0 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 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 5.049561342590 2.379584419073 0 2 2 0 3201 0132 3201 0132 0 0 0 0 0 0 0 0 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 1 0 -1 0 0 0 0 1 0 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.216908801822 0.225893417477 1 1 3 4 2310 0132 0132 0132 0 0 0 0 0 0 0 0 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 -1 1 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 0.710961666635 1.682494207127 5 5 4 2 0132 2310 1230 0132 0 0 0 0 0 -1 1 0 -1 0 1 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 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 0.370556683121 0.777900371767 5 5 2 3 1023 3201 0132 3012 0 0 0 0 0 0 0 0 0 0 1 -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 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 0.370556683121 0.777900371767 3 4 4 3 0132 1023 2310 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.499105735592 1.047760180705 ==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' : negation(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_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' : negation(d['1']), 's_0_4' : d['1'], 's_0_5' : negation(d['1']), 's_0_2' : d['1'], 's_0_3' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : d['1'], 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : d['c_0110_4'], 'c_1100_1' : d['c_0011_1'], 'c_1100_0' : d['c_0011_1'], 'c_1100_3' : d['c_0110_4'], 'c_1100_2' : d['c_0110_4'], 'c_0101_5' : d['c_0101_2'], 'c_0101_4' : negation(d['c_0101_1']), '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' : negation(d['c_0011_0']), 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : negation(d['c_0011_3']), '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_0101_1']), 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_1' : negation(d['c_0101_2']), 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0110_4']), 'c_1001_2' : d['c_0101_1'], 'c_0110_1' : negation(d['c_0011_0']), 'c_0110_0' : negation(d['c_0101_1']), 'c_0110_3' : d['c_0101_2'], 'c_0110_2' : negation(d['c_0101_1']), 'c_0110_5' : negation(d['c_0101_1']), 'c_0110_4' : d['c_0110_4'], 'c_1010_5' : d['c_0110_4'], 'c_1010_4' : d['c_0101_1'], 'c_1010_3' : d['c_0101_1'], 'c_1010_2' : negation(d['c_0101_2']), 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : d['c_0011_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_0101_1, c_0101_2, c_0110_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t - 1161161/117280*c_0101_1*c_0110_4^8 - 1277323/58640*c_0101_1*c_0110_4^7 - 22082199/117280*c_0101_1*c_0110_4^6 - 122798/3665*c_0101_1*c_0110_4^5 - 15899901/58640*c_0101_1*c_0110_4^\ 4 + 11985237/58640*c_0101_1*c_0110_4^3 + 6405161/117280*c_0101_1*c_0110_4^2 - 3489689/29320*c_0101_1*c_0110_4 + 8564813/117280*c_0101_1, c_0011_0 - 1, c_0011_1 + 295/1466*c_0110_4^8 + 1503/2932*c_0110_4^7 + 11967/2932*c_0110_4^6 + 1639/733*c_0110_4^5 + 11245/1466*c_0110_4^4 - 1330/733*c_0110_4^3 + 121/1466*c_0110_4^2 + 31/2932*c_0110_4 - 2767/2932, c_0011_3 - 417/2932*c_0110_4^8 - 369/733*c_0110_4^7 - 9237/2932*c_0110_4^6 - 3058/733*c_0110_4^5 - 7457/1466*c_0110_4^4 - 3897/1466*c_0110_4^3 + 10573/2932*c_0110_4^2 - 757/1466*c_0110_4 - 421/2932, c_0101_1^2 - 295/1466*c_0110_4^8 - 1503/2932*c_0110_4^7 - 11967/2932*c_0110_4^6 - 1639/733*c_0110_4^5 - 11245/1466*c_0110_4^4 + 1330/733*c_0110_4^3 - 121/1466*c_0110_4^2 - 31/2932*c_0110_4 - 165/2932, c_0101_2 + 63/733*c_0110_4^8 + 391/2932*c_0110_4^7 + 4269/2932*c_0110_4^6 - 1435/1466*c_0110_4^5 + 687/733*c_0110_4^4 - 3674/733*c_0110_4^3 - 1059/1466*c_0110_4^2 + 1437/2932*c_0110_4 + 555/2932, c_0110_4^9 + 3*c_0110_4^8 + 21*c_0110_4^7 + 19*c_0110_4^6 + 34*c_0110_4^5 - 19*c_0110_4^3 - c_0110_4^2 - c_0110_4 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB