Magma V2.19-8 Tue Aug 20 2013 16:14:08 on localhost [Seed = 1983375953] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s092 geometric_solution 3.91960216 oriented_manifold CS_known 0.0000000000000008 1 0 torus 0.000000000000 0.000000000000 6 1 1 0 0 0132 2310 1230 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 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 2.360059324909 0.175914337128 0 2 2 0 0132 0132 3201 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 -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 -0.910372974488 0.532013164301 1 1 3 3 2310 0132 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 1 0 -1 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 0.210645766313 0.316332608591 4 2 5 2 0132 2310 0132 0132 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 1 0 0 -1 0 1 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.423681313017 0.918744021185 3 5 5 5 0132 0213 2310 1230 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 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 0.457760148552 0.847174934423 4 4 4 3 3012 3201 0213 0132 0 0 0 0 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 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 0.457760148552 0.847174934423 ==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' : negation(d['1']), 's_3_4' : d['1'], 's_3_0' : d['1'], 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : negation(d['1']), 's_2_4' : negation(d['1']), 's_2_5' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_0_4' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : d['c_0011_5'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_5' : negation(d['c_0011_3']), 'c_0101_4' : d['c_0101_2'], 'c_0101_3' : d['c_0011_5'], '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' : 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' : d['c_0011_0'], 'c_1001_5' : negation(d['c_0101_2']), 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_1' : negation(d['c_0101_2']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : d['c_0101_2'], 'c_1001_2' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_2'], 'c_0110_2' : negation(d['c_0101_1']), 'c_0110_5' : d['c_0011_5'], 'c_0110_4' : d['c_0011_5'], 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : negation(d['c_0011_3']), 'c_1010_3' : d['c_0101_1'], 'c_1010_2' : negation(d['c_0101_2']), 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : negation(d['c_0101_0'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_5, c_0101_0, c_0101_1, c_0101_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 18*c_0101_2^11 - 128*c_0101_2^10 + 232*c_0101_2^9 - 200*c_0101_2^8 - 677*c_0101_2^7 + 1351*c_0101_2^6 + 671*c_0101_2^5 - 1446*c_0101_2^4 - 341*c_0101_2^3 + 460*c_0101_2^2 + 118*c_0101_2 - 30, c_0011_0 - 1, c_0011_3 + 49096/136139*c_0101_2^11 - 427664/136139*c_0101_2^10 + 1171693/136139*c_0101_2^9 - 1467723/136139*c_0101_2^8 - 885878/136139*c_0101_2^7 + 6245062/136139*c_0101_2^6 - 2588123/136139*c_0101_2^5 - 6984676/136139*c_0101_2^4 + 2085452/136139*c_0101_2^3 + 2901733/136139*c_0101_2^2 - 53827/136139*c_0101_2 - 348772/136139, c_0011_5 + 125722/136139*c_0101_2^11 - 863697/136139*c_0101_2^10 + 1432022/136139*c_0101_2^9 - 1165064/136139*c_0101_2^8 - 4966403/136139*c_0101_2^7 + 8497125/136139*c_0101_2^6 + 5299093/136139*c_0101_2^5 - 7658043/136139*c_0101_2^4 - 1773116/136139*c_0101_2^3 + 1336406/136139*c_0101_2^2 + 302086/136139*c_0101_2 - 93250/136139, c_0101_0 - 212633/136139*c_0101_2^11 + 1537527/136139*c_0101_2^10 - 2979260/136139*c_0101_2^9 + 3085390/136139*c_0101_2^8 + 7037597/136139*c_0101_2^7 - 16195454/136139*c_0101_2^6 - 4173955/136139*c_0101_2^5 + 14847783/136139*c_0101_2^4 - 180420/136139*c_0101_2^3 - 3868272/136139*c_0101_2^2 + 213998/136139*c_0101_2 + 371439/136139, c_0101_1 + 203684/136139*c_0101_2^11 - 1591077/136139*c_0101_2^10 + 3612501/136139*c_0101_2^9 - 3976464/136139*c_0101_2^8 - 5966036/136139*c_0101_2^7 + 20194904/136139*c_0101_2^6 - 1277341/136139*c_0101_2^5 - 21536250/136139*c_0101_2^4 + 3163095/136139*c_0101_2^3 + 7206516/136139*c_0101_2^2 + 143168/136139*c_0101_2 - 583727/136139, c_0101_2^12 - 7*c_0101_2^11 + 12*c_0101_2^10 - 9*c_0101_2^9 - 40*c_0101_2^8 + 72*c_0101_2^7 + 49*c_0101_2^6 - 82*c_0101_2^5 - 32*c_0101_2^4 + 28*c_0101_2^3 + 12*c_0101_2^2 - 2*c_0101_2 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.000 Total time: 0.210 seconds, Total memory usage: 32.09MB