Magma V2.19-8 Tue Aug 20 2013 23:56:09 on localhost [Seed = 3465062115] Type ? for help. Type -D to quit. Loading file "L14n15027__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n15027 geometric_solution 11.39034869 oriented_manifold CS_known 0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 1 1 1 1 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 1 0 -1 0 0 0 0 11 0 0 -11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.528942970475 0.893423583918 0 5 7 6 0132 0132 0132 0132 0 1 1 1 0 0 -1 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 0 0 0 0 0 -1 1 0 0 0 0 -11 12 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.528942970475 0.893423583918 6 0 9 8 3012 0132 0132 0132 1 0 1 1 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 -1 0 1 -1 0 0 1 0 0 0 0 -11 0 11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.378563278342 0.696691947788 10 5 9 0 0132 1230 0321 0132 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 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 0.740760118027 0.852065010544 8 6 0 5 3012 2103 0132 2103 1 1 0 1 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 11 1 -12 0 0 0 0 -1 1 0 0 0 -11 11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.544311674927 1.022518612191 11 1 3 4 0132 0132 3012 2103 0 1 1 1 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 -12 0 12 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.378563278342 0.696691947788 11 4 1 2 1230 2103 0132 1230 0 1 1 1 0 0 -1 1 0 0 0 0 0 1 0 -1 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 -11 0 11 -11 11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.544311674927 1.022518612191 8 9 10 1 1023 1023 2031 0132 0 1 1 1 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 0 0 0 -1 0 0 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 0.288862902224 0.382443303667 10 7 2 4 1230 1023 0132 1230 1 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 1 -1 0 0 0 -1 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 0.615076664623 1.397447610513 7 11 3 2 1023 3201 0321 0132 1 0 1 1 0 0 0 0 1 0 0 -1 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 11 0 -11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.666261766224 1.193134199123 3 8 11 7 0132 3012 1230 1302 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 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 0.645919985017 0.306368286847 5 6 9 10 0132 3012 2310 3012 1 1 1 1 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 11 -11 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 0.615076664623 1.397447610513 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_6']), 'c_1001_10' : negation(d['c_0011_7']), 'c_1001_5' : d['c_0011_10'], 'c_1001_4' : d['c_0011_6'], 'c_1001_7' : negation(d['c_0101_3']), 'c_1001_6' : d['c_0011_10'], 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : d['c_0101_5'], 'c_1001_3' : d['c_0110_4'], 'c_1001_2' : d['c_0011_6'], 'c_1001_9' : negation(d['c_0101_11']), 'c_1001_8' : d['c_0101_5'], 'c_1010_11' : negation(d['c_0101_0']), 'c_1010_10' : negation(d['c_0101_8']), 's_0_10' : d['1'], 's_0_11' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_0'], '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_2_6' : d['1'], 's_2_7' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : 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_0011_11' : negation(d['c_0011_0']), 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_0110_4']), 'c_1100_4' : negation(d['c_0101_11']), 'c_1100_7' : d['c_0101_8'], 'c_1100_6' : d['c_0101_8'], 'c_1100_1' : d['c_0101_8'], 'c_1100_0' : negation(d['c_0101_11']), 'c_1100_3' : negation(d['c_0101_11']), 'c_1100_2' : d['c_0110_4'], 's_3_11' : d['1'], 'c_1100_11' : d['c_0011_7'], 'c_1100_10' : d['c_0101_5'], 's_3_10' : d['1'], 'c_1010_7' : d['c_0101_2'], 'c_1010_6' : d['c_0101_2'], 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : negation(d['c_0101_2']), 'c_1010_3' : d['c_0101_5'], 'c_1010_2' : d['c_0101_5'], 'c_1010_1' : d['c_0011_10'], 'c_1010_0' : d['c_0011_6'], 'c_1010_9' : d['c_0011_6'], 'c_1010_8' : d['c_0101_1'], 'c_1100_8' : d['c_0110_4'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 's_1_7' : 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_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_7'], 'c_0011_8' : d['c_0011_7'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_10'], 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : d['c_0011_6'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_5'], 'c_0110_10' : d['c_0101_3'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_5'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], '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_0101_9' : negation(d['c_0101_3']), 'c_0101_8' : d['c_0101_8'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_2'], 'c_0110_8' : d['c_0011_10'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_0110_4'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_8'], 'c_0110_5' : d['c_0101_11'], 'c_0110_4' : d['c_0110_4'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : negation(d['c_0011_0'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_6, c_0011_7, c_0101_0, c_0101_1, c_0101_11, c_0101_2, c_0101_3, c_0101_5, c_0101_8, c_0110_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t + 337558639/1331025242*c_0110_4^13 + 6244235179/2662050484*c_0110_4^12 - 15402427493/1331025242*c_0110_4^11 - 4615485663/2662050484*c_0110_4^10 - 71227333535/2662050484*c_0110_4^9 - 91495569919/2662050484*c_0110_4^8 - 79591285315/2662050484*c_0110_4^7 - 79192462607/1331025242*c_0110_4^6 - 82867790779/2662050484*c_0110_4^5 - 32237725052/665512621*c_0110_4^4 - 86925072923/2662050484*c_0110_4^3 - 24721239271/2662050484*c_0110_4^2 - 34735982053/2662050484*c_0110_4 + 843272770/665512621, c_0011_0 - 1, c_0011_10 + 531451/14159843*c_0110_4^13 + 17168711/28319686*c_0110_4^12 + 46926853/28319686*c_0110_4^11 + 30968557/28319686*c_0110_4^10 + 81428250/14159843*c_0110_4^9 + 33429001/14159843*c_0110_4^8 + 70237117/14159843*c_0110_4^7 + 167690195/28319686*c_0110_4^6 + 22013137/28319686*c_0110_4^5 + 128060303/28319686*c_0110_4^4 + 2501057/28319686*c_0110_4^3 + 1548951/14159843*c_0110_4^2 - 6359826/14159843*c_0110_4 - 24133381/28319686, c_0011_6 - 24133381/28319686*c_0110_4^13 - 168402216/14159843*c_0110_4^12 - 220682764/14159843*c_0110_4^11 - 1256275721/28319686*c_0110_4^10 - 889517509/14159843*c_0110_4^9 - 1125240800/14159843*c_0110_4^8 - 3191148433/28319686*c_0110_4^7 - 1450165886/14159843*c_0110_4^6 - 1593424882/14159843*c_0110_4^5 - 1304262696/14159843*c_0110_4^4 - 1850876939/28319686*c_0110_4^3 - 638284068/14159843*c_0110_4^2 - 455436337/28319686*c_0110_4 - 229920081/28319686, c_0011_7 - 17330700/14159843*c_0110_4^13 - 238153897/14159843*c_0110_4^12 - 271289837/14159843*c_0110_4^11 - 918631292/14159843*c_0110_4^10 - 1176933278/14159843*c_0110_4^9 - 1638241343/14159843*c_0110_4^8 - 2302087641/14159843*c_0110_4^7 - 2047531717/14159843*c_0110_4^6 - 2439444425/14159843*c_0110_4^5 - 1901785615/14159843*c_0110_4^4 - 1469120451/14159843*c_0110_4^3 - 1046332718/14159843*c_0110_4^2 - 400675875/14159843*c_0110_4 - 236529882/14159843, c_0101_0 - 14691294/14159843*c_0110_4^13 - 413644315/28319686*c_0110_4^12 - 585000887/28319686*c_0110_4^11 - 1560231601/28319686*c_0110_4^10 - 1143416475/14159843*c_0110_4^9 - 1449413301/14159843*c_0110_4^8 - 1981815922/14159843*c_0110_4^7 - 3735970631/28319686*c_0110_4^6 - 3958449491/28319686*c_0110_4^5 - 3214906077/28319686*c_0110_4^4 - 2324715309/28319686*c_0110_4^3 - 752020630/14159843*c_0110_4^2 - 276837034/14159843*c_0110_4 - 230743793/28319686, c_0101_1 - 14691294/14159843*c_0110_4^13 - 413644315/28319686*c_0110_4^12 - 585000887/28319686*c_0110_4^11 - 1560231601/28319686*c_0110_4^10 - 1143416475/14159843*c_0110_4^9 - 1449413301/14159843*c_0110_4^8 - 1981815922/14159843*c_0110_4^7 - 3735970631/28319686*c_0110_4^6 - 3958449491/28319686*c_0110_4^5 - 3214906077/28319686*c_0110_4^4 - 2324715309/28319686*c_0110_4^3 - 752020630/14159843*c_0110_4^2 - 276837034/14159843*c_0110_4 - 230743793/28319686, c_0101_11 - 12361601/28319686*c_0110_4^13 - 186579035/28319686*c_0110_4^12 - 426923087/28319686*c_0110_4^11 - 479290362/14159843*c_0110_4^10 - 818503517/14159843*c_0110_4^9 - 1150931614/14159843*c_0110_4^8 - 2972848905/28319686*c_0110_4^7 - 3255810215/28319686*c_0110_4^6 - 3367383347/28319686*c_0110_4^5 - 2931700635/28319686*c_0110_4^4 - 1165954009/14159843*c_0110_4^3 - 768179317/14159843*c_0110_4^2 - 725831489/28319686*c_0110_4 - 139692273/14159843, c_0101_2 - 1, c_0101_3 + 5301447/28319686*c_0110_4^13 + 34950864/14159843*c_0110_4^12 + 20208816/14159843*c_0110_4^11 + 211038423/28319686*c_0110_4^10 + 115912918/14159843*c_0110_4^9 + 137563331/14159843*c_0110_4^8 + 414028699/28319686*c_0110_4^7 + 152919776/14159843*c_0110_4^6 + 167028977/14159843*c_0110_4^5 + 120429355/14159843*c_0110_4^4 + 125863503/28319686*c_0110_4^3 + 24426695/14159843*c_0110_4^2 - 8789841/28319686*c_0110_4 - 30607769/28319686, c_0101_5 - c_0110_4^13 - 14*c_0110_4^12 - 19*c_0110_4^11 - 54*c_0110_4^10 - 75*c_0110_4^9 - 100*c_0110_4^8 - 135*c_0110_4^7 - 126*c_0110_4^6 - 139*c_0110_4^5 - 109*c_0110_4^4 - 82*c_0110_4^3 - 53*c_0110_4^2 - 19*c_0110_4 - 9, c_0101_8 - 13516621/28319686*c_0110_4^13 - 96026334/14159843*c_0110_4^12 - 145527135/14159843*c_0110_4^11 - 709886959/28319686*c_0110_4^10 - 532851564/14159843*c_0110_4^9 - 652016385/14159843*c_0110_4^8 - 1698248489/28319686*c_0110_4^7 - 824560404/14159843*c_0110_4^6 - 792143063/14159843*c_0110_4^5 - 659128368/14159843*c_0110_4^4 - 881193781/28319686*c_0110_4^3 - 245480535/14159843*c_0110_4^2 - 168130137/28319686*c_0110_4 - 12361601/28319686, c_0110_4^14 + 14*c_0110_4^13 + 19*c_0110_4^12 + 54*c_0110_4^11 + 75*c_0110_4^10 + 100*c_0110_4^9 + 135*c_0110_4^8 + 126*c_0110_4^7 + 139*c_0110_4^6 + 109*c_0110_4^5 + 82*c_0110_4^4 + 53*c_0110_4^3 + 19*c_0110_4^2 + 9*c_0110_4 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.100 Total time: 0.310 seconds, Total memory usage: 32.09MB