Magma V2.19-8 Tue Aug 20 2013 16:18:31 on localhost [Seed = 2480017070] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2707 geometric_solution 5.95658036 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 2 1230 3012 0132 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 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 0.631923595350 0.379148505226 3 2 4 0 0132 3012 0132 0132 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 1 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.704683895483 0.540090820690 1 3 0 5 1230 3201 0132 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 0 1 -1 -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 0.704683895483 0.540090820690 1 5 2 4 0132 1302 2310 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 -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 1.471561753000 1.655578388112 6 6 3 1 0132 2310 2031 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 0.471561753000 1.655578388112 6 6 2 3 1023 3201 0132 2031 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 -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 0.471561753000 1.655578388112 4 5 5 4 0132 1023 2310 3201 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.159133437769 0.558692215220 ==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' : negation(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' : d['1'], 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : negation(d['1']), 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : negation(d['1']), 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : d['1'], 's_0_6' : negation(d['1']), 's_0_4' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : negation(d['1']), 'c_1100_6' : negation(d['c_0011_4']), 'c_1100_5' : negation(d['c_1010_3']), 'c_1100_4' : negation(d['c_1010_3']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_1010_3']), 'c_1100_0' : negation(d['c_1010_3']), 'c_1100_3' : d['c_0011_2'], 'c_1100_2' : negation(d['c_1010_3']), 'c_0101_6' : d['c_0101_1'], 'c_0101_5' : d['c_0011_1'], 'c_0101_4' : d['c_0011_2'], 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : d['c_0011_0'], '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' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_1']), 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0101_1']), 'c_1001_4' : negation(d['c_0101_1']), 'c_1001_6' : d['c_0011_1'], 'c_1001_1' : negation(d['c_0011_2']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0011_1'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_1'], 'c_0110_6' : d['c_0011_2'], 'c_1010_6' : d['c_0101_1'], 'c_1010_5' : negation(d['c_0011_1']), 'c_1010_4' : negation(d['c_0011_2']), 'c_1010_3' : d['c_1010_3'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0011_0']), '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_1, c_0011_2, c_0011_4, c_0101_0, c_0101_1, c_1010_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t + 61/64*c_0101_1*c_1010_3^8 - 89/16*c_0101_1*c_1010_3^7 + 339/64*c_0101_1*c_1010_3^6 + 1421/64*c_0101_1*c_1010_3^5 - 1181/32*c_0101_1*c_1010_3^4 - 1161/64*c_0101_1*c_1010_3^3 + 1795/32*c_0101_1*c_1010_3^2 - 435/16*c_0101_1*c_1010_3 - 371/8*c_0101_1, c_0011_0 - 1, c_0011_1 + 37/784*c_0101_1*c_1010_3^8 - 121/392*c_0101_1*c_1010_3^7 + 411/784*c_0101_1*c_1010_3^6 + 359/784*c_0101_1*c_1010_3^5 - 359/196*c_0101_1*c_1010_3^4 + 867/784*c_0101_1*c_1010_3^3 + 45/49*c_0101_1*c_1010_3^2 - 461/196*c_0101_1*c_1010_3 - 17/49*c_0101_1, c_0011_2 - 37/784*c_0101_1*c_1010_3^8 + 121/392*c_0101_1*c_1010_3^7 - 411/784*c_0101_1*c_1010_3^6 - 359/784*c_0101_1*c_1010_3^5 + 359/196*c_0101_1*c_1010_3^4 - 867/784*c_0101_1*c_1010_3^3 - 45/49*c_0101_1*c_1010_3^2 + 461/196*c_0101_1*c_1010_3 + 17/49*c_0101_1, c_0011_4 + 23/784*c_1010_3^8 - 29/196*c_1010_3^7 + 33/784*c_1010_3^6 + 639/784*c_1010_3^5 - 347/392*c_1010_3^4 - 547/784*c_1010_3^3 + 437/392*c_1010_3^2 - 125/196*c_1010_3 - 41/98, c_0101_0 - 15/784*c_1010_3^8 + 57/392*c_1010_3^7 - 209/784*c_1010_3^6 - 225/784*c_1010_3^5 + 44/49*c_1010_3^4 + 263/784*c_1010_3^3 - 167/196*c_1010_3^2 - 25/196*c_1010_3 + 40/49, c_0101_1^2 + 23/784*c_1010_3^8 - 29/196*c_1010_3^7 + 131/784*c_1010_3^6 + 149/784*c_1010_3^5 - 53/392*c_1010_3^4 - 57/784*c_1010_3^3 - 51/196*c_1010_3^2 + 71/196*c_1010_3 + 4/49, c_1010_3^9 - 6*c_1010_3^8 + 7*c_1010_3^7 + 19*c_1010_3^6 - 36*c_1010_3^5 - 9*c_1010_3^4 + 40*c_1010_3^3 - 24*c_1010_3^2 - 32*c_1010_3 - 16 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB