Magma V2.19-8 Tue Aug 20 2013 16:16:17 on localhost [Seed = 1444399796] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0549 geometric_solution 4.57087723 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1302 2031 0132 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.414107147191 0.033523279699 2 0 2 0 0132 2310 2310 0132 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 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 -0.919793509908 0.543458731619 1 1 3 4 0132 3201 0132 0132 0 0 0 0 0 1 -1 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 -1 0 1 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 1.163174464792 1.759041157376 4 5 4 2 1302 0132 1230 0132 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 -1 1 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 0 0 0 0.629680880300 0.779528642459 5 3 2 3 0132 2031 0132 3012 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 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 0.629680880300 0.779528642459 4 3 6 6 0132 0132 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 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 -0.463560549609 0.579008186579 5 6 6 5 3201 3201 2310 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -0.502794648882 1.046626522266 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : 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_0011_6'], 'c_1100_5' : d['c_0011_6'], 'c_1100_4' : d['c_0101_5'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_1']), 'c_1100_0' : negation(d['c_0011_1']), 'c_1100_3' : d['c_0101_5'], 'c_1100_2' : d['c_0101_5'], 'c_0101_6' : negation(d['c_0101_1']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_3']), 'c_0101_2' : negation(d['c_0011_0']), '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' : d['c_0011_3'], 'c_0011_6' : d['c_0011_6'], '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' : d['c_0011_0'], 'c_1001_6' : d['c_0101_1'], 'c_1001_1' : negation(d['c_0011_0']), 'c_1001_0' : negation(d['c_0110_0']), 'c_1001_3' : negation(d['c_0101_5']), 'c_1001_2' : negation(d['c_0101_1']), 'c_0110_1' : negation(d['c_0011_0']), 'c_0110_0' : d['c_0110_0'], 'c_0110_3' : negation(d['c_0011_0']), 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_5'], 'c_0110_6' : d['c_0101_5'], 'c_1010_6' : negation(d['c_0101_1']), 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : d['c_0011_3'], 'c_1010_3' : negation(d['c_0101_1']), 'c_1010_2' : d['c_0011_0'], 'c_1010_1' : negation(d['c_0110_0']), 'c_1010_0' : d['c_0011_0']})} 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_1, c_0011_3, c_0011_6, c_0101_1, c_0101_5, c_0110_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 20 Groebner basis: [ t - 17*c_0110_0^19 + 16*c_0110_0^18 + 282*c_0110_0^17 - 248*c_0110_0^16 - 1966*c_0110_0^15 + 1597*c_0110_0^14 + 7486*c_0110_0^13 - 5530*c_0110_0^12 - 16934*c_0110_0^11 + 11094*c_0110_0^10 + 23183*c_0110_0^9 - 12837*c_0110_0^8 - 18737*c_0110_0^7 + 7865*c_0110_0^6 + 8317*c_0110_0^5 - 1925*c_0110_0^4 - 1737*c_0110_0^3 - 29*c_0110_0^2 + 120*c_0110_0 + 19, c_0011_0 - 1, c_0011_1 + c_0110_0^2 - 1, c_0011_3 + c_0110_0^17 - 2*c_0110_0^16 - 14*c_0110_0^15 + 28*c_0110_0^14 + 79*c_0110_0^13 - 158*c_0110_0^12 - 230*c_0110_0^11 + 460*c_0110_0^10 + 367*c_0110_0^9 - 733*c_0110_0^8 - 315*c_0110_0^7 + 622*c_0110_0^6 + 135*c_0110_0^5 - 249*c_0110_0^4 - 27*c_0110_0^3 + 34*c_0110_0^2 + 3*c_0110_0 - 1, c_0011_6 + c_0110_0^16 - c_0110_0^15 - 14*c_0110_0^14 + 13*c_0110_0^13 + 79*c_0110_0^12 - 67*c_0110_0^11 - 230*c_0110_0^10 + 174*c_0110_0^9 + 368*c_0110_0^8 - 238*c_0110_0^7 - 321*c_0110_0^6 + 161*c_0110_0^5 + 145*c_0110_0^4 - 43*c_0110_0^3 - 30*c_0110_0^2 + 2*c_0110_0 + 2, c_0101_1 - c_0110_0^3 + 2*c_0110_0, c_0101_5 - c_0110_0^4 + 3*c_0110_0^2 - 1, c_0110_0^20 - c_0110_0^19 - 17*c_0110_0^18 + 16*c_0110_0^17 + 122*c_0110_0^16 - 107*c_0110_0^15 - 481*c_0110_0^14 + 388*c_0110_0^13 + 1136*c_0110_0^12 - 826*c_0110_0^11 - 1645*c_0110_0^10 + 1040*c_0110_0^9 + 1439*c_0110_0^8 - 735*c_0110_0^7 - 724*c_0110_0^6 + 252*c_0110_0^5 + 191*c_0110_0^4 - 28*c_0110_0^3 - 23*c_0110_0^2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB