Magma V2.19-8 Tue Aug 20 2013 16:18:54 on localhost [Seed = 189437565] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3067 geometric_solution 6.23337808 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 0 -1 1 -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 -1 1 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 0.669745880604 1.034713810213 0 3 5 4 0132 0132 0132 0132 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 0 0 0 0.714845293753 0.768912711664 3 0 4 5 2310 0132 3201 2310 0 0 0 0 0 0 1 -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 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 0.714845293753 0.768912711664 3 1 2 3 3012 0132 3201 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.239932562404 0.680463707653 2 6 1 6 2310 0132 0132 1023 0 0 0 0 0 0 0 0 0 0 1 -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 0 -1 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 0.989910680024 0.517119912895 2 5 5 1 3201 1230 3012 0132 0 0 0 0 0 -1 1 0 -1 0 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.800564321327 0.739261041064 6 4 6 4 2031 0132 1302 1023 0 0 0 0 0 0 -1 1 1 0 -1 0 1 -1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 -1 0 1 0 -1 1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.594880256892 0.197924383854 ==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_4'], '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' : d['c_0011_0'], 'c_1100_2' : negation(d['c_0011_4']), 'c_0101_6' : d['c_0011_4'], 'c_0101_5' : d['c_0101_3'], 'c_0101_4' : d['c_0101_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' : 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' : d['c_0011_4'], 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_6' : d['c_0110_6'], 'c_1001_1' : d['c_0101_3'], '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' : d['c_0011_0'], 'c_0110_2' : negation(d['c_0101_3']), '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_3'], 'c_1010_4' : d['c_0110_6'], 'c_1010_3' : d['c_0101_3'], '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_3, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 2 Groebner basis: [ t - 3*c_0110_6 + 5, c_0011_0 - 1, c_0011_4 - 1, c_0101_0 - 1, c_0101_1 - c_0110_6, c_0101_2 + c_0110_6, c_0101_3 - c_0110_6, c_0110_6^2 - 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_3, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 2 Groebner basis: [ t - 3*c_0110_6 - 5, c_0011_0 - 1, c_0011_4 - 1, c_0101_0 + 1, c_0101_1 + c_0110_6, c_0101_2 - c_0110_6, c_0101_3 - c_0110_6, c_0110_6^2 + 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_3, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t - 7965812596/1324720137*c_0110_6^15 + 70458502873/1324720137*c_0110_6^13 - 11761398795/33967183*c_0110_6^11 + 1040882700764/1324720137*c_0110_6^9 - 101129317400/441573379*c_0110_6^7 + 949470389954/1324720137*c_0110_6^5 - 153785582360/1324720137*c_0110_6^3 + 29109147428/1324720137*c_0110_6, c_0011_0 - 1, c_0011_4 - 5149901/33967183*c_0110_6^14 + 45126225/33967183*c_0110_6^12 - 292767063/33967183*c_0110_6^10 + 648595675/33967183*c_0110_6^8 - 141930790/33967183*c_0110_6^6 + 612942004/33967183*c_0110_6^4 - 88995513/33967183*c_0110_6^2 + 48893667/33967183, c_0101_0 - 10210510/33967183*c_0110_6^15 + 88039036/33967183*c_0110_6^13 - 567634026/33967183*c_0110_6^11 + 1201308555/33967183*c_0110_6^9 - 79123471/33967183*c_0110_6^7 + 1099509272/33967183*c_0110_6^5 + 72837909/33967183*c_0110_6^3 + 45207760/33967183*c_0110_6, c_0101_1 - 216455/33967183*c_0110_6^14 + 3421720/33967183*c_0110_6^12 - 25648444/33967183*c_0110_6^10 + 113071646/33967183*c_0110_6^8 - 191101860/33967183*c_0110_6^6 + 28110364/33967183*c_0110_6^4 - 113112080/33967183*c_0110_6^2 + 22673693/33967183, c_0101_2 - 9256196/33967183*c_0110_6^14 + 81712792/33967183*c_0110_6^12 - 531307389/33967183*c_0110_6^10 + 1197998248/33967183*c_0110_6^8 - 318058060/33967183*c_0110_6^6 + 1076809512/33967183*c_0110_6^4 - 207452144/33967183*c_0110_6^2 + 53737821/33967183, c_0101_3 - 23194080/33967183*c_0110_6^15 + 206196220/33967183*c_0110_6^13 - 1345788046/33967183*c_0110_6^11 + 3099015350/33967183*c_0110_6^9 - 1071954626/33967183*c_0110_6^7 + 2902839021/33967183*c_0110_6^5 - 528906878/33967183*c_0110_6^3 + 180430226/33967183*c_0110_6, c_0110_6^16 - 9*c_0110_6^14 + 59*c_0110_6^12 - 140*c_0110_6^10 + 61*c_0110_6^8 - 131*c_0110_6^6 + 39*c_0110_6^4 - 12*c_0110_6^2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.230 seconds, Total memory usage: 32.09MB