Magma V2.19-8 Wed Aug 21 2013 01:07:43 on localhost [Seed = 1360480334] Type ? for help. Type -D to quit. Loading file "L14n33803__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n33803 geometric_solution 12.15792563 oriented_manifold CS_known 0.0000000000000003 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 2 3 0132 0132 0321 0132 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 1 0 -1 -1 0 1 0 1 -5 0 4 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.214496204314 0.582050790211 0 4 5 5 0132 0132 0213 0132 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 0 0 0 0 0 0 0 0 0 0 -1 1 0 1 0 0 -1 1 0 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.442565471764 1.512638457585 6 0 0 7 0132 0132 0321 0132 0 1 1 1 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 -1 0 1 0 0 0 0 0 -1 0 1 -4 5 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.214496204314 0.582050790211 8 9 0 9 0132 0132 0132 0213 0 1 1 1 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 1 -1 0 0 0 0 0 0 0 0 4 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.751043044876 0.602362455265 6 1 7 7 1023 0132 0132 0321 0 1 1 1 0 0 1 -1 0 0 0 0 -1 0 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 1 0 0 -1 4 0 0 -4 -4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.586029143197 1.417923646188 8 1 1 9 3012 0213 0132 0132 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 0 0 0 0 0 0 0 0 0 0 -1 0 1 -1 0 1 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 0.214496204314 0.582050790211 2 4 10 11 0132 1023 0132 0132 1 1 1 1 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 -1 1 0 0 0 0 0 4 -4 0 0 0 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.200960123807 1.055791835887 12 4 2 4 0132 0321 0132 0132 0 1 1 1 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 0 0 0 0 -1 1 0 0 0 0 0 4 0 -4 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.751043044876 0.602362455265 3 12 10 5 0132 0132 0321 1230 1 1 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 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.455770930030 0.602221793051 11 3 5 3 1230 0132 0132 0213 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 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 0.751043044876 0.602362455265 11 12 8 6 0213 1230 0321 0132 1 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 1 -1 0 0 0 0 0 -4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.897821030672 0.507180711558 10 9 6 12 0213 3012 0132 0213 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.063187175788 0.914098756202 7 8 10 11 0132 0132 3012 0213 1 1 1 1 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 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.924738569312 1.088771247085 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_12'], 'c_1001_10' : d['c_0101_9'], 'c_1001_12' : negation(d['c_0011_10']), 'c_1001_5' : d['c_1001_1'], 'c_1001_4' : d['c_1001_1'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : d['c_0101_12'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_1001_9'], 'c_1001_8' : d['c_1001_8'], 'c_1010_12' : d['c_1001_8'], 'c_1010_11' : negation(d['c_0101_9']), 'c_1010_10' : d['c_0101_12'], 's_3_11' : d['1'], 's_3_10' : d['1'], 's_0_12' : negation(d['1']), 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0011_10'], 'c_0101_10' : d['c_0011_11'], 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : negation(d['1']), 's_2_3' : negation(d['1']), 's_2_4' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_12' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : negation(d['1']), 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : negation(d['1']), 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : d['c_1001_9'], 'c_1100_8' : d['c_0101_9'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_1001_9'], 'c_1100_4' : d['c_1001_0'], 'c_1100_7' : d['c_1001_0'], 'c_1100_6' : d['c_1001_8'], 'c_1100_1' : d['c_1001_9'], 'c_1100_0' : d['c_1001_2'], 'c_1100_3' : d['c_1001_2'], 'c_1100_2' : d['c_1001_0'], 's_0_10' : d['1'], 'c_1100_11' : d['c_1001_8'], 'c_1100_10' : d['c_1001_8'], 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_1'], 'c_1010_6' : d['c_0011_12'], 'c_1010_5' : d['c_1001_9'], 'c_1010_4' : d['c_1001_1'], 'c_1010_3' : d['c_1001_9'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_1'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_2'], 'c_1010_8' : negation(d['c_0011_10']), 's_3_1' : d['1'], 's_3_0' : negation(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' : negation(d['1']), 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : negation(d['c_0101_9']), 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : negation(d['1']), 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : negation(d['1']), 'c_0011_9' : negation(d['c_0011_12']), 'c_0011_8' : negation(d['c_0011_12']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_12']), 'c_0110_6' : d['c_0011_10'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_12'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0101_6']), 'c_0110_10' : d['c_0101_6'], 'c_0110_12' : d['c_0101_6'], 'c_0101_12' : d['c_0101_12'], 'c_0110_0' : d['c_0011_5'], 'c_0011_6' : d['c_0011_0'], 'c_0101_7' : d['c_0101_6'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0011_10']), 'c_0101_4' : d['c_0101_12'], 'c_0101_3' : d['c_0011_5'], 'c_0101_2' : d['c_0011_10'], 'c_0101_1' : d['c_0011_5'], 'c_0101_0' : negation(d['c_0011_10']), 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : negation(d['c_0011_11']), 's_1_12' : negation(d['1']), 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_11'], 'c_0110_8' : d['c_0011_5'], 'c_0110_1' : negation(d['c_0011_10']), 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : negation(d['c_0011_11']), 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : d['c_0101_9'], 'c_0110_4' : d['c_0011_12'], 'c_0110_7' : d['c_0101_12'], 'c_0011_10' : d['c_0011_10']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_12, c_0011_5, c_0101_12, c_0101_6, c_0101_9, c_1001_0, c_1001_1, c_1001_2, c_1001_8, c_1001_9 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 1169600139/101897216*c_1001_9^11 + 1734196033/101897216*c_1001_9^10 + 2262638369/25474304*c_1001_9^9 + 37320480027/101897216*c_1001_9^8 + 25679396995/50948608*c_1001_9^7 + 45916462529/101897216*c_1001_9^6 + 77788294239/101897216*c_1001_9^5 + 1630014909/50948608*c_1001_9^4 + 521309189/101897216*c_1001_9^3 - 2807627201/25474304*c_1001_9^2 - 22612435617/101897216*c_1001_9 - 8540132971/101897216, c_0011_0 - 1, c_0011_10 - 16325/21088*c_1001_9^11 - 35927/21088*c_1001_9^10 - 37735/5272*c_1001_9^9 - 622117/21088*c_1001_9^8 - 574497/10544*c_1001_9^7 - 1393399/21088*c_1001_9^6 - 1885937/21088*c_1001_9^5 - 610815/10544*c_1001_9^4 - 802947/21088*c_1001_9^3 - 66621/5272*c_1001_9^2 - 67857/21088*c_1001_9 - 19315/21088, c_0011_11 + 1721/10544*c_1001_9^11 + 8051/10544*c_1001_9^10 + 5231/2636*c_1001_9^9 + 95793/10544*c_1001_9^8 + 123029/5272*c_1001_9^7 + 287451/10544*c_1001_9^6 + 286157/10544*c_1001_9^5 + 170787/5272*c_1001_9^4 + 29335/10544*c_1001_9^3 + 9747/2636*c_1001_9^2 + 14101/10544*c_1001_9 - 9721/10544, c_0011_12 + 165/21088*c_1001_9^11 + 12087/21088*c_1001_9^10 + 5939/5272*c_1001_9^9 + 103717/21088*c_1001_9^8 + 210521/10544*c_1001_9^7 + 680615/21088*c_1001_9^6 + 673009/21088*c_1001_9^5 + 470663/10544*c_1001_9^4 + 396211/21088*c_1001_9^3 + 39261/5272*c_1001_9^2 + 20449/21088*c_1001_9 - 3117/21088, c_0011_5 + 3587/5272*c_1001_9^11 + 8185/5272*c_1001_9^10 + 8561/1318*c_1001_9^9 + 139883/5272*c_1001_9^8 + 133319/2636*c_1001_9^7 + 339241/5272*c_1001_9^6 + 452991/5272*c_1001_9^5 + 154657/2636*c_1001_9^4 + 215877/5272*c_1001_9^3 + 15009/1318*c_1001_9^2 + 15615/5272*c_1001_9 + 3373/5272, c_0101_12 + 2829/10544*c_1001_9^11 - 1209/10544*c_1001_9^10 + 3183/2636*c_1001_9^9 + 48885/10544*c_1001_9^8 - 26283/5272*c_1001_9^7 - 145697/10544*c_1001_9^6 + 481/10544*c_1001_9^5 - 135909/5272*c_1001_9^4 - 1045/10544*c_1001_9^3 + 14871/2636*c_1001_9^2 + 2809/10544*c_1001_9 + 4683/10544, c_0101_6 + 5003/10544*c_1001_9^11 + 11741/10544*c_1001_9^10 + 11153/2636*c_1001_9^9 + 190875/10544*c_1001_9^8 + 175969/5272*c_1001_9^7 + 361477/10544*c_1001_9^6 + 440631/10544*c_1001_9^5 + 124095/5272*c_1001_9^4 + 14849/10544*c_1001_9^3 - 5017/2636*c_1001_9^2 - 31441/10544*c_1001_9 + 4321/10544, c_0101_9 - 3885/10544*c_1001_9^11 - 9851/10544*c_1001_9^10 - 9363/2636*c_1001_9^9 - 156541/10544*c_1001_9^8 - 155135/5272*c_1001_9^7 - 368723/10544*c_1001_9^6 - 450881/10544*c_1001_9^5 - 158977/5272*c_1001_9^4 - 140663/10544*c_1001_9^3 - 5325/2636*c_1001_9^2 - 8473/10544*c_1001_9 - 1735/10544, c_1001_0 - 1, c_1001_1 + 4469/21088*c_1001_9^11 + 7007/21088*c_1001_9^10 + 9123/5272*c_1001_9^9 + 148549/21088*c_1001_9^8 + 110101/10544*c_1001_9^7 + 242735/21088*c_1001_9^6 + 403905/21088*c_1001_9^5 + 66715/10544*c_1001_9^4 + 137547/21088*c_1001_9^3 + 13817/5272*c_1001_9^2 - 36335/21088*c_1001_9 - 5461/21088, c_1001_2 - 8555/21088*c_1001_9^11 - 16225/21088*c_1001_9^10 - 19009/5272*c_1001_9^9 - 309035/21088*c_1001_9^8 - 264227/10544*c_1001_9^7 - 655953/21088*c_1001_9^6 - 984175/21088*c_1001_9^5 - 292861/10544*c_1001_9^4 - 521621/21088*c_1001_9^3 - 55971/5272*c_1001_9^2 - 50911/21088*c_1001_9 - 15845/21088, c_1001_8 - 1071/10544*c_1001_9^11 - 1313/10544*c_1001_9^10 - 1401/2636*c_1001_9^9 - 28967/10544*c_1001_9^8 - 11153/5272*c_1001_9^7 + 38783/10544*c_1001_9^6 + 21693/10544*c_1001_9^5 + 27857/5272*c_1001_9^4 + 98515/10544*c_1001_9^3 - 4105/2636*c_1001_9^2 - 20755/10544*c_1001_9 + 10243/10544, c_1001_9^12 + 2*c_1001_9^11 + 9*c_1001_9^10 + 37*c_1001_9^9 + 65*c_1001_9^8 + 81*c_1001_9^7 + 122*c_1001_9^6 + 81*c_1001_9^5 + 65*c_1001_9^4 + 37*c_1001_9^3 + 9*c_1001_9^2 + 2*c_1001_9 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.290 Total time: 0.500 seconds, Total memory usage: 32.09MB