Magma V2.19-8 Tue Aug 20 2013 16:14:17 on localhost [Seed = 2496989364] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s267 geometric_solution 4.43518017 oriented_manifold CS_known 0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 6 1 2 3 3 0132 0132 0132 3012 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 -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 0.491521298645 1.419564487390 0 3 4 4 0132 0132 2310 0132 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 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 -0.672724989735 1.434498403493 5 0 5 3 0132 0132 1023 2310 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 0 0 0 0 0 0 0 0 0 0 0.495604866335 0.387228878643 2 1 0 0 3201 0132 1230 0132 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 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 0.491521298645 1.419564487390 4 1 1 4 3012 3201 0132 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 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 -0.026182742850 0.543000380937 2 5 2 5 0132 1302 1023 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.557867201452 0.081504103480 ==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' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : negation(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' : negation(d['1']), 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_5' : negation(d['c_0011_0']), 'c_1100_4' : d['c_0011_4'], 'c_1100_1' : d['c_0011_4'], 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : d['c_0101_1'], 'c_1100_2' : d['c_0011_0'], 'c_0101_5' : negation(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' : d['c_0011_0'], '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' : d['c_0101_2'], 'c_1001_4' : negation(d['c_0101_1']), 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : negation(d['c_0101_0']), 'c_1001_3' : negation(d['c_0101_1']), 'c_1001_2' : negation(d['c_0101_3']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_3']), 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0011_4'], 'c_1010_5' : d['c_0011_0'], 'c_1010_4' : d['c_0101_0'], 'c_1010_3' : negation(d['c_0101_0']), 'c_1010_2' : negation(d['c_0101_0']), 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : negation(d['c_0101_3'])})} 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_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t - 4397786/604457*c_0101_3^12 + 40602180/604457*c_0101_3^11 - 134890009/604457*c_0101_3^10 + 167193766/604457*c_0101_3^9 + 72095592/604457*c_0101_3^8 - 421023677/604457*c_0101_3^7 + 49506730/86351*c_0101_3^6 + 203425218/604457*c_0101_3^5 - 427491640/604457*c_0101_3^4 + 28829303/604457*c_0101_3^3 + 183990115/604457*c_0101_3^2 - 9658466/604457*c_0101_3 - 27906353/604457, c_0011_0 - 1, c_0011_4 - 2893/86351*c_0101_3^12 + 40223/86351*c_0101_3^11 - 220565/86351*c_0101_3^10 + 588560/86351*c_0101_3^9 - 666279/86351*c_0101_3^8 - 298597/86351*c_0101_3^7 + 1739413/86351*c_0101_3^6 - 1677239/86351*c_0101_3^5 - 262576/86351*c_0101_3^4 + 1596141/86351*c_0101_3^3 - 737315/86351*c_0101_3^2 - 254709/86351*c_0101_3 + 114761/86351, c_0101_0 - 5409/86351*c_0101_3^12 + 54818/86351*c_0101_3^11 - 199002/86351*c_0101_3^10 + 253448/86351*c_0101_3^9 + 214534/86351*c_0101_3^8 - 975770/86351*c_0101_3^7 + 864653/86351*c_0101_3^6 + 492534/86351*c_0101_3^5 - 1414738/86351*c_0101_3^4 + 518577/86351*c_0101_3^3 + 528428/86351*c_0101_3^2 - 332775/86351*c_0101_3 - 16757/86351, c_0101_1 - 5225/86351*c_0101_3^12 + 42768/86351*c_0101_3^11 - 118621/86351*c_0101_3^10 + 103606/86351*c_0101_3^9 + 99461/86351*c_0101_3^8 - 300923/86351*c_0101_3^7 + 254841/86351*c_0101_3^6 - 41752/86351*c_0101_3^5 + 15307/86351*c_0101_3^4 + 97534/86351*c_0101_3^3 - 325647/86351*c_0101_3^2 + 132283/86351*c_0101_3 + 73309/86351, c_0101_2 + 17459/86351*c_0101_3^12 - 162540/86351*c_0101_3^11 + 538261/86351*c_0101_3^10 - 603527/86351*c_0101_3^9 - 629423/86351*c_0101_3^8 + 2343633/86351*c_0101_3^7 - 1687462/86351*c_0101_3^6 - 1608464/86351*c_0101_3^5 + 3074230/86351*c_0101_3^4 - 522883/86351*c_0101_3^3 - 1488321/86351*c_0101_3^2 + 489204/86351*c_0101_3 + 138970/86351, c_0101_3^13 - 10*c_0101_3^12 + 37*c_0101_3^11 - 54*c_0101_3^10 - 16*c_0101_3^9 + 158*c_0101_3^8 - 175*c_0101_3^7 - 45*c_0101_3^6 + 240*c_0101_3^5 - 125*c_0101_3^4 - 85*c_0101_3^3 + 83*c_0101_3^2 - c_0101_3 - 7 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB