Magma V2.19-8 Tue Aug 20 2013 16:17:18 on localhost [Seed = 1377029767] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1529 geometric_solution 5.32410282 oriented_manifold CS_known 0.0000000000000006 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1230 3012 0132 2310 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 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 1.466527833170 0.213062647212 0 2 2 0 3201 0132 1023 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 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 1.142213703623 0.274324360988 3 1 1 4 0132 0132 1023 0132 0 0 0 0 0 1 0 -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 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 0.800169064917 0.452205833305 2 5 6 4 0132 0132 0132 2031 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 -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 0.518575938207 0.505848448862 6 3 2 5 2310 1302 0132 1023 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 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.518575938207 0.505848448862 5 3 5 4 2310 0132 3201 1023 0 0 0 0 0 0 0 0 -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 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 0.025635808443 1.049947449781 6 6 4 3 1302 2031 3201 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 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 0.523916343833 0.487368729290 ==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' : negation(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' : negation(d['1']), 's_2_4' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : negation(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' : 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_6' : negation(d['c_0011_4']), 'c_1100_5' : d['c_0011_1'], 'c_1100_4' : negation(d['c_0011_1']), 's_3_6' : negation(d['1']), 'c_1100_1' : d['c_0011_1'], 'c_1100_0' : d['c_0011_1'], 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : negation(d['c_0011_1']), 'c_0101_6' : negation(d['c_0011_6']), 'c_0101_5' : negation(d['c_0011_4']), 'c_0101_4' : d['c_0101_3'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_1']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_6'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_1'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : d['c_0011_4'], 'c_1001_4' : d['c_0101_2'], 'c_1001_6' : negation(d['c_0101_3']), 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0011_6'], 'c_1001_2' : negation(d['c_0011_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_2'], 'c_0110_2' : d['c_0101_3'], 'c_0110_5' : d['c_0011_4'], 'c_0110_4' : d['c_0011_6'], 'c_0110_6' : d['c_0101_3'], 'c_1010_6' : d['c_0011_6'], 'c_1010_5' : d['c_0011_6'], 'c_1010_4' : d['c_0011_4'], 'c_1010_3' : d['c_0011_4'], 'c_1010_2' : d['c_0101_2'], '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_4, c_0011_6, c_0101_0, c_0101_2, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 26 Groebner basis: [ t + 14781215145/4287151*c_0101_3^12 + 20556512762/4287151*c_0101_3^11 - 65869961283/4287151*c_0101_3^10 - 543075514191/4287151*c_0101_3^9 - 1039959326072/4287151*c_0101_3^8 - 953384731875/4287151*c_0101_3^7 + 26365003607/4287151*c_0101_3^6 + 276225674293/4287151*c_0101_3^5 - 571849863470/4287151*c_0101_3^4 + 27971210416/4287151*c_0101_3^3 + 158618786131/4287151*c_0101_3^2 - 130092823530/4287151*c_0101_3 + 37846999503/4287151, c_0011_0 - 1, c_0011_1 + 94493354/4287151*c_0101_3^12 + 132093133/4287151*c_0101_3^11 - 420112788/4287151*c_0101_3^10 - 3474881880/4287151*c_0101_3^9 - 6673678672/4287151*c_0101_3^8 - 6143593378/4287151*c_0101_3^7 + 127678274/4287151*c_0101_3^6 + 1778761675/4287151*c_0101_3^5 - 3624077901/4287151*c_0101_3^4 + 160710125/4287151*c_0101_3^3 + 1010748994/4287151*c_0101_3^2 - 825871973/4287151*c_0101_3 + 239308945/4287151, c_0011_4 + 184739404/4287151*c_0011_6*c_0101_3^12 + 259119213/4287151*c_0011_6*c_0101_3^11 - 819178460/4287151*c_0011_6*c_0101_3^10 - 6795626187/4287151*c_0011_6*c_0101_3^9 - 13082761161/4287151*c_0011_6*c_0101_3^8 - 12109103361/4287151*c_0011_6*c_0101_3^7 + 106997479/4287151*c_0011_6*c_0101_3^6 + 3375807507/4287151*c_0011_6*c_0101_3^5 - 7115255740/4287151*c_0011_6*c_0101_3^4 + 290797000/4287151*c_0011_6*c_0101_3^3 + 1954244968/4287151*c_0011_6*c_0101_3^2 - 1606699745/4287151*c_0011_6*c_0101_3 + 464424841/4287151*c_0011_6, c_0011_6^2 - 7540618/4287151*c_0101_3^12 - 10317460/4287151*c_0101_3^11 + 34902988/4287151*c_0101_3^10 + 278187395/4287151*c_0101_3^9 + 520049753/4287151*c_0101_3^8 + 433132774/4287151*c_0101_3^7 - 114198650/4287151*c_0101_3^6 - 233738796/4287151*c_0101_3^5 + 284641633/4287151*c_0101_3^4 + 20696367/4287151*c_0101_3^3 - 103979167/4287151*c_0101_3^2 + 50994051/4287151*c_0101_3 - 10593978/4287151, c_0101_0 + 151605618/4287151*c_0101_3^12 + 210159033/4287151*c_0101_3^11 - 676796952/4287151*c_0101_3^10 - 5567013691/4287151*c_0101_3^9 - 10639792087/4287151*c_0101_3^8 - 9723300476/4287151*c_0101_3^7 + 316387619/4287151*c_0101_3^6 + 2817972397/4287151*c_0101_3^5 - 5909937697/4287151*c_0101_3^4 + 304618725/4287151*c_0101_3^3 + 1641929478/4287151*c_0101_3^2 - 1348925504/4287151*c_0101_3 + 391749552/4287151, c_0101_2 + 144687325/4287151*c_0101_3^12 + 200810750/4287151*c_0101_3^11 - 645110595/4287151*c_0101_3^10 - 5313516896/4287151*c_0101_3^9 - 10165180595/4287151*c_0101_3^8 - 9313129047/4287151*c_0101_3^7 + 256762191/4287151*c_0101_3^6 + 2661450158/4287151*c_0101_3^5 - 5634758418/4287151*c_0101_3^4 + 284595237/4287151*c_0101_3^3 + 1553349574/4287151*c_0101_3^2 - 1282758108/4287151*c_0101_3 + 373152238/4287151, c_0101_3^13 + c_0101_3^12 - 5*c_0101_3^11 - 35*c_0101_3^10 - 56*c_0101_3^9 - 37*c_0101_3^8 + 27*c_0101_3^7 + 18*c_0101_3^6 - 46*c_0101_3^5 + 17*c_0101_3^4 + 10*c_0101_3^3 - 13*c_0101_3^2 + 6*c_0101_3 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.230 seconds, Total memory usage: 32.09MB