Magma V2.19-8 Tue Aug 20 2013 16:14:39 on localhost [Seed = 1983375984] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s642 geometric_solution 5.13415674 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 6 1 2 0 0 0132 0132 2031 1302 0 0 0 0 0 -1 1 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 1 -1 -1 0 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 0 0.495388833019 0.355133670442 0 3 2 4 0132 0132 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 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 0.666625019058 0.955868036369 3 0 4 1 3201 0132 0132 3012 0 0 0 0 0 1 -1 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 -1 0 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.666625019058 0.955868036369 3 1 3 2 2031 0132 1302 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0.320828506639 1.286102634939 5 5 1 2 0132 2310 0132 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 -1 1 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 0.261458514055 1.394898526052 4 5 5 4 0132 3201 2310 3201 0 0 0 0 0 -1 1 0 0 0 0 0 0 -1 0 1 -1 0 1 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 -1 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.645926006970 0.536103065375 ==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_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_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_5' : negation(d['c_0011_4']), 'c_1100_4' : d['c_0110_2'], 'c_1100_1' : d['c_0110_2'], 'c_1100_0' : d['c_0101_0'], 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : d['c_0110_2'], 'c_0101_5' : d['c_0101_2'], '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_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_2']), 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_1' : negation(d['c_0110_2']), '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' : d['c_0110_2'], 'c_0110_5' : d['c_0101_0'], 'c_0110_4' : d['c_0101_2'], 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : negation(d['c_0101_0']), 'c_1010_3' : negation(d['c_0110_2']), '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 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_4, c_0101_0, c_0101_1, c_0101_2, c_0110_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 17 Groebner basis: [ t - 6414*c_0110_2^16 + 47945*c_0110_2^15 - 112571*c_0110_2^14 - 17088*c_0110_2^13 + 425056*c_0110_2^12 - 310967*c_0110_2^11 - 756731*c_0110_2^10 + 808531*c_0110_2^9 + 1014314*c_0110_2^8 - 911737*c_0110_2^7 - 1119329*c_0110_2^6 + 371583*c_0110_2^5 + 747412*c_0110_2^4 + 113052*c_0110_2^3 - 182197*c_0110_2^2 - 93043*c_0110_2 - 13469, c_0011_0 - 1, c_0011_4 - 234*c_0110_2^16 + 1768*c_0110_2^15 - 4257*c_0110_2^14 - 219*c_0110_2^13 + 15360*c_0110_2^12 - 12527*c_0110_2^11 - 26106*c_0110_2^10 + 30990*c_0110_2^9 + 33872*c_0110_2^8 - 34700*c_0110_2^7 - 37417*c_0110_2^6 + 15153*c_0110_2^5 + 25365*c_0110_2^4 + 2873*c_0110_2^3 - 6352*c_0110_2^2 - 3008*c_0110_2 - 412, c_0101_0 - 55*c_0110_2^16 + 419*c_0110_2^15 - 1029*c_0110_2^14 + 31*c_0110_2^13 + 3556*c_0110_2^12 - 3133*c_0110_2^11 - 5819*c_0110_2^10 + 7447*c_0110_2^9 + 7388*c_0110_2^8 - 8252*c_0110_2^7 - 8211*c_0110_2^6 + 3700*c_0110_2^5 + 5634*c_0110_2^4 + 533*c_0110_2^3 - 1430*c_0110_2^2 - 657*c_0110_2 - 89, c_0101_1 + 953*c_0110_2^16 - 7119*c_0110_2^15 + 16689*c_0110_2^14 + 2635*c_0110_2^13 - 63179*c_0110_2^12 + 45905*c_0110_2^11 + 112776*c_0110_2^10 - 119729*c_0110_2^9 - 151431*c_0110_2^8 + 135044*c_0110_2^7 + 167075*c_0110_2^6 - 54740*c_0110_2^5 - 111435*c_0110_2^4 - 17144*c_0110_2^3 + 27101*c_0110_2^2 + 13924*c_0110_2 + 2028, c_0101_2 - 627*c_0110_2^16 + 4683*c_0110_2^15 - 10974*c_0110_2^14 - 1750*c_0110_2^13 + 41572*c_0110_2^12 - 30153*c_0110_2^11 - 74248*c_0110_2^10 + 78684*c_0110_2^9 + 99751*c_0110_2^8 - 88712*c_0110_2^7 - 110092*c_0110_2^6 + 35838*c_0110_2^5 + 73432*c_0110_2^4 + 11424*c_0110_2^3 - 17843*c_0110_2^2 - 9210*c_0110_2 - 1347, c_0110_2^17 - 7*c_0110_2^16 + 14*c_0110_2^15 + 11*c_0110_2^14 - 65*c_0110_2^13 + 17*c_0110_2^12 + 141*c_0110_2^11 - 70*c_0110_2^10 - 218*c_0110_2^9 + 67*c_0110_2^8 + 242*c_0110_2^7 + 25*c_0110_2^6 - 144*c_0110_2^5 - 73*c_0110_2^4 + 20*c_0110_2^3 + 28*c_0110_2^2 + 9*c_0110_2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB