Magma V2.19-8 Tue Aug 20 2013 16:16:00 on localhost [Seed = 3398129165] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0251 geometric_solution 4.28478338 oriented_manifold CS_known -0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 1 0 1 0 0132 1302 1023 2031 0 0 0 0 0 0 0 0 0 0 0 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 1 -1 0 0 0 0 0 1 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.684806443943 0.027973307921 0 2 0 2 0132 0132 1023 1023 0 0 0 0 0 0 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 -1 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 0.793934184392 0.054528332183 3 1 3 1 0132 0132 1023 1023 0 0 0 0 0 0 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 1 -1 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 0.808627559654 0.121587359125 2 4 2 5 0132 0132 1023 0132 0 0 0 0 0 0 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 -1 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 0.859884049913 0.332342972975 5 3 6 5 3120 0132 0132 1230 0 0 0 0 0 0 0 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 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 0.746864747027 0.781681959923 4 6 3 4 3012 1023 0132 3120 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 -1 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 0.746864747027 0.781681959923 5 6 6 4 1023 3201 2310 0132 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 0.374957339078 1.157868705589 ==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_0011_5'], 'c_1100_5' : d['c_0011_0'], 'c_1100_4' : d['c_0011_5'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_2'], 'c_0101_4' : negation(d['c_0011_0']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_6' : d['c_0011_5'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_0']), 'c_0011_2' : d['c_0011_0'], 'c_1001_5' : d['c_0101_6'], 'c_1001_4' : d['c_0101_6'], 'c_1001_6' : negation(d['c_0101_6']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_0101_2'], 'c_1001_2' : d['c_0101_3'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_2'], 'c_0110_2' : d['c_0101_3'], 'c_0110_5' : d['c_0011_5'], 'c_0110_4' : d['c_0011_5'], 'c_0110_6' : negation(d['c_0011_0']), 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : negation(d['c_0011_0']), 'c_1010_4' : d['c_0101_2'], 'c_1010_3' : d['c_0101_6'], 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : d['c_0101_3'], '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_5, c_0101_0, c_0101_1, c_0101_2, c_0101_3, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t + c_0101_6^13 + 4*c_0101_6^12 + 7*c_0101_6^11 + 4*c_0101_6^10 - 18*c_0101_6^9 - 40*c_0101_6^8 - 26*c_0101_6^7 + 5*c_0101_6^6 + 29*c_0101_6^5 + 37*c_0101_6^4 + 30*c_0101_6^3 + 15*c_0101_6^2 + 6*c_0101_6 + 1, c_0011_0 - 1, c_0011_5 - c_0101_6^13 - 3*c_0101_6^12 + 9*c_0101_6^10 + 13*c_0101_6^9 + c_0101_6^8 - 16*c_0101_6^7 - 17*c_0101_6^6 - 8*c_0101_6^5 + 4*c_0101_6^4 + 8*c_0101_6^3 + 7*c_0101_6^2 + 3*c_0101_6 + 1, c_0101_0 + c_0101_6^13 + c_0101_6^12 - 5*c_0101_6^11 - 5*c_0101_6^10 + 5*c_0101_6^9 + 10*c_0101_6^8 + 6*c_0101_6^7 - 6*c_0101_6^6 - 10*c_0101_6^5 - 7*c_0101_6^4 + 2*c_0101_6^3 + 4*c_0101_6^2 + 4*c_0101_6 + 1, c_0101_1 + c_0101_6^11 + 2*c_0101_6^10 - 3*c_0101_6^9 - 8*c_0101_6^8 - 3*c_0101_6^7 + 7*c_0101_6^6 + 12*c_0101_6^5 + 5*c_0101_6^4 - 2*c_0101_6^3 - 6*c_0101_6^2 - 4*c_0101_6 - 2, c_0101_2 + c_0101_6^13 + 3*c_0101_6^12 - c_0101_6^11 - 11*c_0101_6^10 - 10*c_0101_6^9 + 6*c_0101_6^8 + 17*c_0101_6^7 + 12*c_0101_6^6 + c_0101_6^5 - 7*c_0101_6^4 - 7*c_0101_6^3 - 4*c_0101_6^2 - c_0101_6, c_0101_3 + c_0101_6^13 + 3*c_0101_6^12 - 8*c_0101_6^10 - 11*c_0101_6^9 - 4*c_0101_6^8 + 9*c_0101_6^7 + 16*c_0101_6^6 + 13*c_0101_6^5 + 3*c_0101_6^4 - 6*c_0101_6^3 - 9*c_0101_6^2 - 5*c_0101_6 - 2, c_0101_6^14 + 3*c_0101_6^13 - 8*c_0101_6^11 - 11*c_0101_6^10 - 4*c_0101_6^9 + 9*c_0101_6^8 + 16*c_0101_6^7 + 13*c_0101_6^6 + 3*c_0101_6^5 - 5*c_0101_6^4 - 8*c_0101_6^3 - 6*c_0101_6^2 - 3*c_0101_6 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.000 Total time: 0.200 seconds, Total memory usage: 32.09MB