Magma V2.19-8 Tue Aug 20 2013 16:09:05 on localhost [Seed = 172725376] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation m403 geometric_solution 4.95360427 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 5 1 2 2 3 0132 0132 3201 0132 0 0 0 0 0 0 0 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 0 1 -1 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 0.173335757889 1.151146678640 0 3 4 2 0132 2310 0132 1302 0 0 0 0 0 0 1 -1 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 0 0.421778338364 0.886531387609 0 0 1 3 2310 0132 2031 2031 0 0 0 0 0 0 0 0 -1 0 1 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 0 0 0 -1 0 0 1 0 1 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.286637785773 0.709911650763 4 2 0 1 1023 1302 0132 3201 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 -1 1 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 0.421778338364 0.886531387609 4 3 4 1 2310 1023 3201 0132 0 0 0 0 0 0 1 -1 -1 0 0 1 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 0.616123762149 0.695403588918 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : 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' : negation(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' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(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' : negation(d['1']), 'c_1100_4' : negation(d['c_0011_3']), 'c_1100_1' : negation(d['c_0011_3']), 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : d['c_0110_3'], 'c_0101_4' : negation(d['c_0101_1']), 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : negation(d['c_0011_3']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_4' : d['c_0011_3'], '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_4' : d['c_0101_1'], 'c_1001_1' : d['c_0110_3'], 'c_1001_0' : d['c_0011_3'], 'c_1001_3' : negation(d['c_0101_0']), '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_0110_3'], 'c_0110_2' : negation(d['c_0101_0']), 'c_0110_4' : d['c_0101_1'], 'c_1010_4' : d['c_0110_3'], 'c_1010_3' : negation(d['c_0110_3']), 'c_1010_2' : d['c_0011_3'], 'c_1010_1' : negation(d['c_0110_3']), 'c_1010_0' : negation(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_3, c_0101_0, c_0101_1, c_0110_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 49685/1506*c_0110_3^9 + 59723/502*c_0110_3^8 + 224897/502*c_0110_3^7 + 1125659/1506*c_0110_3^6 + 614243/502*c_0110_3^5 + 404843/502*c_0110_3^4 + 259034/753*c_0110_3^3 + 148885/1506*c_0110_3^2 - 308147/1506*c_0110_3 - 63724/753, c_0011_0 - 1, c_0011_3 + 529/251*c_0110_3^9 + 1947/251*c_0110_3^8 + 7350/251*c_0110_3^7 + 12592/251*c_0110_3^6 + 20836/251*c_0110_3^5 + 14895/251*c_0110_3^4 + 7541/251*c_0110_3^3 + 2751/251*c_0110_3^2 - 2350/251*c_0110_3 - 1090/251, c_0101_0 - 684/251*c_0110_3^9 - 2387/251*c_0110_3^8 - 8994/251*c_0110_3^7 - 14367/251*c_0110_3^6 - 23419/251*c_0110_3^5 - 13390/251*c_0110_3^4 - 4713/251*c_0110_3^3 - 416/251*c_0110_3^2 + 4899/251*c_0110_3 + 1844/251, c_0101_1 + 406/251*c_0110_3^9 + 1444/251*c_0110_3^8 + 5409/251*c_0110_3^7 + 8803/251*c_0110_3^6 + 14129/251*c_0110_3^5 + 8284/251*c_0110_3^4 + 2192/251*c_0110_3^3 - 327/251*c_0110_3^2 - 3302/251*c_0110_3 - 1256/251, c_0110_3^10 + 4*c_0110_3^9 + 15*c_0110_3^8 + 28*c_0110_3^7 + 46*c_0110_3^6 + 39*c_0110_3^5 + 20*c_0110_3^4 + 7*c_0110_3^3 - 5*c_0110_3^2 - 5*c_0110_3 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.000 Total time: 0.200 seconds, Total memory usage: 32.09MB