Magma V2.19-8 Tue Aug 20 2013 16:18:53 on localhost [Seed = 593673813] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3046 geometric_solution 6.21978040 oriented_manifold CS_known -0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 4 0132 0132 0132 0132 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 0 0 -1 1 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 0.516380825780 0.760492869138 0 3 4 5 0132 2103 1230 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 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 0 0 0 0 0.595416396934 0.936294398927 5 0 3 6 0321 0132 3201 0132 0 0 0 0 0 -1 0 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.676916780618 0.899489363553 2 1 5 0 2310 2103 2031 0132 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 -1 0 1 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 0.558884107806 0.266592829890 4 4 0 1 1230 3012 0132 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.388897390523 0.899993093503 2 6 1 3 0321 3120 0132 1302 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.465858008045 0.709769729673 6 5 2 6 3201 3120 0132 2310 0 0 0 0 0 0 -1 1 -1 0 0 1 -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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.059273973233 0.591216341652 ==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' : negation(d['c_0011_3']), 'c_1100_5' : d['c_0011_4'], 'c_1100_4' : negation(d['c_0011_3']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_4'], 'c_1100_0' : negation(d['c_0011_3']), 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_6' : negation(d['c_0011_5']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0011_4'], 'c_0101_2' : negation(d['c_0101_0']), '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_4'], 'c_0011_6' : negation(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_5' : negation(d['c_1001_0']), 'c_1001_4' : negation(d['c_0011_4']), 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : d['c_0011_3'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0011_0']), 'c_1001_2' : negation(d['c_0011_4']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_5']), 'c_0110_5' : d['c_0011_0'], 'c_0110_4' : d['c_0011_4'], 'c_0110_6' : d['c_0011_5'], 'c_1010_6' : negation(d['c_0011_5']), 'c_1010_5' : d['c_0011_3'], 'c_1010_4' : negation(d['c_0101_1']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_1001_0']), 'c_1010_0' : negation(d['c_0011_4'])})} 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_3, c_0011_4, c_0011_5, c_0101_0, c_0101_1, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t + 77/64*c_1001_0^12 - 91/64*c_1001_0^11 - 553/64*c_1001_0^10 + 125/32*c_1001_0^9 + 729/32*c_1001_0^8 - c_1001_0^7 - 599/16*c_1001_0^6 - 383/64*c_1001_0^5 + 1597/32*c_1001_0^4 + 41/4*c_1001_0^3 - 2817/64*c_1001_0^2 - 355/64*c_1001_0 + 1189/64, c_0011_0 - 1, c_0011_3 - c_1001_0^12 + c_1001_0^11 + 7*c_1001_0^10 - 2*c_1001_0^9 - 18*c_1001_0^8 - 2*c_1001_0^7 + 29*c_1001_0^6 + 9*c_1001_0^5 - 37*c_1001_0^4 - 13*c_1001_0^3 + 31*c_1001_0^2 + 7*c_1001_0 - 13, c_0011_4 + 2*c_1001_0^11 + c_1001_0^10 - 7*c_1001_0^9 - 4*c_1001_0^8 + 11*c_1001_0^7 + 10*c_1001_0^6 - 15*c_1001_0^5 - 15*c_1001_0^4 + 14*c_1001_0^3 + 12*c_1001_0^2 - 9*c_1001_0 - 3, c_0011_5 + 2*c_1001_0^11 + 2*c_1001_0^10 - 7*c_1001_0^9 - 8*c_1001_0^8 + 10*c_1001_0^7 + 17*c_1001_0^6 - 11*c_1001_0^5 - 25*c_1001_0^4 + 8*c_1001_0^3 + 22*c_1001_0^2 - 4*c_1001_0 - 9, c_0101_0 + 1, c_0101_1 + 2*c_1001_0^12 + c_1001_0^11 - 7*c_1001_0^10 - 4*c_1001_0^9 + 11*c_1001_0^8 + 10*c_1001_0^7 - 15*c_1001_0^6 - 15*c_1001_0^5 + 14*c_1001_0^4 + 12*c_1001_0^3 - 9*c_1001_0^2 - 3*c_1001_0, c_1001_0^13 + c_1001_0^12 - 5*c_1001_0^11 - 6*c_1001_0^10 + 10*c_1001_0^9 + 16*c_1001_0^8 - 12*c_1001_0^7 - 27*c_1001_0^6 + 10*c_1001_0^5 + 32*c_1001_0^4 - 5*c_1001_0^3 - 23*c_1001_0^2 + c_1001_0 + 8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.210 seconds, Total memory usage: 32.09MB