Magma V2.19-8 Tue Aug 20 2013 16:19:11 on localhost [Seed = 4223297155] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3313 geometric_solution 6.44537626 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 0 0 0132 0132 1230 3012 0 0 0 0 0 -1 0 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 -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 0.640192077256 0.793092079068 0 3 5 4 0132 0132 0132 0132 0 0 0 0 0 -1 0 1 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 -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 0.511366375595 0.787152104026 3 0 4 5 3201 0132 3201 2310 0 0 0 0 0 1 -1 0 -1 0 0 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 -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 0.511366375595 0.787152104026 3 1 3 2 2031 0132 1302 2310 0 0 0 0 0 1 0 -1 0 0 0 0 -1 0 0 1 0 -1 1 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 0 0 0 0 0 0 0 0 0 0 0.464441500217 1.044830367022 2 6 1 6 2310 0132 0132 2310 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 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 1.203717046844 1.268191920194 2 5 5 1 3201 3201 2310 0132 0 0 0 0 0 0 0 0 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.381105945604 0.757684611766 4 4 6 6 3201 0132 2031 1302 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 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 0 0 0 0 0.462120247254 0.229742987022 ==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_0101_2'], 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : negation(d['c_0011_4']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_4']), 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : negation(d['c_0011_4']), 'c_0101_6' : d['c_0101_2'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : negation(d['c_0011_0']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_4']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_4']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0101_5']), 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_6' : negation(d['c_0110_6']), 'c_1001_1' : d['c_0101_5'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_2']), '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' : negation(d['c_0101_2']), 'c_0110_2' : negation(d['c_0101_5']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0101_2']), 'c_0110_6' : d['c_0110_6'], 'c_1010_6' : negation(d['c_0101_2']), 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : negation(d['c_0110_6']), 'c_1010_3' : d['c_0101_5'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_2']), 'c_1010_0' : negation(d['c_0101_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_4, c_0101_0, c_0101_1, c_0101_2, c_0101_5, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 100*c_0110_6^5 + 152*c_0110_6^4 - 774*c_0110_6^3 - 232*c_0110_6^2 + 615*c_0110_6 + 218, c_0011_0 - 1, c_0011_4 - c_0110_6^5 - 2*c_0110_6^4 + 7*c_0110_6^3 + 6*c_0110_6^2 - 6*c_0110_6 - 4, c_0101_0 - 4*c_0110_6^5 - 6*c_0110_6^4 + 31*c_0110_6^3 + 9*c_0110_6^2 - 24*c_0110_6 - 9, c_0101_1 - c_0110_6, c_0101_2 - 3*c_0110_6^5 - 5*c_0110_6^4 + 23*c_0110_6^3 + 11*c_0110_6^2 - 20*c_0110_6 - 9, c_0101_5 + 5*c_0110_6^5 + 8*c_0110_6^4 - 38*c_0110_6^3 - 14*c_0110_6^2 + 30*c_0110_6 + 12, c_0110_6^6 + 2*c_0110_6^5 - 7*c_0110_6^4 - 6*c_0110_6^3 + 5*c_0110_6^2 + 5*c_0110_6 + 1 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_4, c_0101_0, c_0101_1, c_0101_2, c_0101_5, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 100*c_0110_6^5 + 152*c_0110_6^4 + 774*c_0110_6^3 - 232*c_0110_6^2 - 615*c_0110_6 + 218, c_0011_0 - 1, c_0011_4 - c_0110_6^5 + 2*c_0110_6^4 + 7*c_0110_6^3 - 6*c_0110_6^2 - 6*c_0110_6 + 4, c_0101_0 - 4*c_0110_6^5 + 6*c_0110_6^4 + 31*c_0110_6^3 - 9*c_0110_6^2 - 24*c_0110_6 + 9, c_0101_1 + c_0110_6, c_0101_2 - 3*c_0110_6^5 + 5*c_0110_6^4 + 23*c_0110_6^3 - 11*c_0110_6^2 - 20*c_0110_6 + 9, c_0101_5 - 5*c_0110_6^5 + 8*c_0110_6^4 + 38*c_0110_6^3 - 14*c_0110_6^2 - 30*c_0110_6 + 12, c_0110_6^6 - 2*c_0110_6^5 - 7*c_0110_6^4 + 6*c_0110_6^3 + 5*c_0110_6^2 - 5*c_0110_6 + 1 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_4, c_0101_0, c_0101_1, c_0101_2, c_0101_5, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t + 13738513/1038191*c_0110_6^14 - 122191369/1038191*c_0110_6^12 + 564077435/1038191*c_0110_6^10 - 138679001/148313*c_0110_6^8 + 255094865/1038191*c_0110_6^6 + 477955607/1038191*c_0110_6^4 - 1118000/13483*c_0110_6^2 - 143142112/1038191, c_0011_0 - 1, c_0011_4 + 26155/148313*c_0110_6^15 - 208167/148313*c_0110_6^13 + 868602/148313*c_0110_6^11 - 930692/148313*c_0110_6^9 - 915285/148313*c_0110_6^7 + 1242546/148313*c_0110_6^5 + 4620/13483*c_0110_6^3 - 245050/148313*c_0110_6, c_0101_0 + 27228/148313*c_0110_6^15 - 229908/148313*c_0110_6^13 + 1030933/148313*c_0110_6^11 - 1595315/148313*c_0110_6^9 + 379431/148313*c_0110_6^7 + 312370/148313*c_0110_6^5 - 11983/13483*c_0110_6^3 + 270471/148313*c_0110_6, c_0101_1 + 23382/148313*c_0110_6^14 - 205473/148313*c_0110_6^12 + 947376/148313*c_0110_6^10 - 1644278/148313*c_0110_6^8 + 711979/148313*c_0110_6^6 - 67467/148313*c_0110_6^4 + 21165/13483*c_0110_6^2 + 13196/148313, c_0101_2 + 34004/148313*c_0110_6^15 - 288692/148313*c_0110_6^13 + 1279104/148313*c_0110_6^11 - 1874627/148313*c_0110_6^9 - 199598/148313*c_0110_6^7 + 1378468/148313*c_0110_6^5 + 5094/13483*c_0110_6^3 - 319921/148313*c_0110_6, c_0101_5 + 9495/148313*c_0110_6^14 - 68539/148313*c_0110_6^12 + 265171/148313*c_0110_6^10 - 139767/148313*c_0110_6^8 - 459351/148313*c_0110_6^6 + 260152/148313*c_0110_6^4 + 14838/13483*c_0110_6^2 - 107446/148313, c_0110_6^16 - 9*c_0110_6^14 + 42*c_0110_6^12 - 75*c_0110_6^10 + 26*c_0110_6^8 + 33*c_0110_6^6 - 10*c_0110_6^4 - 10*c_0110_6^2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB