Magma V2.19-8 Tue Aug 20 2013 16:16:17 on localhost [Seed = 1427425719] 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' : negation(d['1']), 's_1_6' : negation(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 + 25*c_0110_0^19 - 80*c_0110_0^18 - 298*c_0110_0^17 + 1124*c_0110_0^16 + 1306*c_0110_0^15 - 6519*c_0110_0^14 - 2178*c_0110_0^13 + 20146*c_0110_0^12 - 1054*c_0110_0^11 - 35730*c_0110_0^10 + 8873*c_0110_0^9 + 36679*c_0110_0^8 - 11819*c_0110_0^7 - 21395*c_0110_0^6 + 5947*c_0110_0^5 + 7095*c_0110_0^4 - 859*c_0110_0^3 - 1233*c_0110_0^2 - 52*c_0110_0 + 47, c_0011_0 - 1, c_0011_1 + c_0110_0^2 - 1, c_0011_3 - c_0110_0^17 + 4*c_0110_0^16 + 8*c_0110_0^15 - 48*c_0110_0^14 - 9*c_0110_0^13 + 228*c_0110_0^12 - 92*c_0110_0^11 - 544*c_0110_0^10 + 373*c_0110_0^9 + 683*c_0110_0^8 - 569*c_0110_0^7 - 440*c_0110_0^6 + 383*c_0110_0^5 + 149*c_0110_0^4 - 103*c_0110_0^3 - 34*c_0110_0^2 + 9*c_0110_0 + 3, c_0011_6 - c_0110_0^16 + 3*c_0110_0^15 + 10*c_0110_0^14 - 35*c_0110_0^13 - 35*c_0110_0^12 + 161*c_0110_0^11 + 42*c_0110_0^10 - 370*c_0110_0^9 + 26*c_0110_0^8 + 442*c_0110_0^7 - 97*c_0110_0^6 - 259*c_0110_0^5 + 61*c_0110_0^4 + 65*c_0110_0^3 - 6*c_0110_0^2 - 6*c_0110_0, 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 - 3*c_0110_0^19 - 13*c_0110_0^18 + 44*c_0110_0^17 + 66*c_0110_0^16 - 269*c_0110_0^15 - 157*c_0110_0^14 + 888*c_0110_0^13 + 136*c_0110_0^12 - 1714*c_0110_0^11 + 123*c_0110_0^10 + 1964*c_0110_0^9 - 341*c_0110_0^8 - 1313*c_0110_0^7 + 224*c_0110_0^6 + 500*c_0110_0^5 - 33*c_0110_0^4 - 104*c_0110_0^3 - 7*c_0110_0^2 + 8*c_0110_0 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.230 seconds, Total memory usage: 32.09MB