Magma V2.19-8 Wed Aug 21 2013 00:55:25 on localhost [Seed = 3398226103] Type ? for help. Type -D to quit. Loading file "L13a5862__sl2_c4.magma" ==TRIANGULATION=BEGINS== % Triangulation L13a5862 geometric_solution 11.47042502 oriented_manifold CS_known 0.0000000000000001 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 2 1 1 2 0 0 0 0 0 0 0 0 0 0 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 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 0.254790551121 1.338694434085 0 5 7 6 0132 0132 0132 0132 2 1 2 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 -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 0 0 0 0.343359851870 0.596177500251 8 0 8 9 0132 0132 3120 0132 2 0 2 1 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 -2 0 1 1 0 1 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.291744475237 0.835225098332 7 10 5 0 0132 0132 0132 0132 2 1 2 1 0 0 0 0 0 0 0 0 -1 1 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 3 -2 0 -1 2 -3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.343359851870 0.596177500251 8 9 0 9 3012 3012 0132 0213 2 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 1 -1 0 -1 0 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 0.291744475237 0.835225098332 8 1 9 3 1023 0132 0213 0132 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.254790551121 1.338694434085 7 11 1 10 2103 0132 0132 1230 2 1 2 2 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 3 0 -3 0 0 -1 1 -2 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.148737289146 1.901715703373 3 10 6 1 0132 0321 2103 0132 2 1 1 2 0 1 -1 0 0 0 0 0 1 -1 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -2 2 0 0 0 0 0 -2 2 0 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.628645937064 0.430624906999 2 5 2 4 0132 1023 3120 1230 1 0 1 2 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 -1 1 2 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 0.291744475237 0.835225098332 4 5 2 4 1230 0213 0132 0213 2 0 1 2 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.627266405185 1.067086028375 6 3 11 7 3012 0132 0132 0321 2 2 1 2 0 0 1 -1 -1 0 0 1 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 -3 2 3 0 0 -3 -1 3 0 -2 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.148737289146 1.901715703373 12 6 12 10 0132 0132 2310 0132 2 2 2 2 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 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.278003972738 0.674161770048 11 11 12 12 0132 3201 2031 1302 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.501588219267 0.095012339382 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0011_10'], 'c_1001_11' : d['c_0101_10'], 'c_1001_10' : d['c_1001_0'], 'c_1001_12' : negation(d['c_0101_11']), 'c_1001_5' : d['c_1001_0'], 'c_1001_4' : negation(d['c_0011_9']), 'c_1001_7' : negation(d['c_0011_11']), 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_1'], 'c_1001_2' : negation(d['c_0011_9']), 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : d['c_0011_9'], 'c_1010_12' : negation(d['c_0101_10']), 'c_1010_11' : d['c_1001_0'], 'c_1010_10' : d['c_1001_1'], 's_0_10' : d['1'], 's_0_11' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : negation(d['1']), 'c_0101_12' : d['c_0101_10'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_10'], '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' : 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' : d['1'], 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : d['c_0011_11'], 'c_1100_8' : negation(d['c_0011_4']), 'c_0011_12' : negation(d['c_0011_11']), 'c_1100_5' : d['c_1010_9'], 'c_1100_4' : d['c_1010_9'], 'c_1100_7' : negation(d['c_0011_10']), 'c_1100_6' : negation(d['c_0011_10']), 'c_1100_1' : negation(d['c_0011_10']), 'c_1100_0' : d['c_1010_9'], 'c_1100_3' : d['c_1010_9'], 'c_1100_2' : negation(d['c_0101_8']), 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0011_11']), 'c_1100_10' : negation(d['c_0011_11']), 's_3_10' : d['1'], 'c_1010_7' : d['c_1001_1'], 'c_1010_6' : d['c_0101_10'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : negation(d['c_0101_8']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_0'], 'c_1010_0' : negation(d['c_0011_9']), 'c_1010_9' : d['c_1010_9'], 'c_1010_8' : d['c_0101_1'], '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'], 'c_1100_12' : d['c_0101_10'], '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_9'], 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_10'], 'c_0011_6' : negation(d['c_0011_11']), '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_10'], 'c_0110_10' : negation(d['c_0011_10']), 'c_0110_12' : d['c_0101_11'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_0'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0011_9'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0011_4'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_8'], 'c_0101_8' : d['c_0101_8'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_4'], 'c_0110_8' : d['c_0011_4'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0101_8']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_8'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0011_4']), 'c_0110_7' : d['c_0101_1'], 'c_0011_10' : d['c_0011_10'], 's_2_9' : d['1']})} 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_4, c_0011_9, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_8, c_1001_0, c_1001_1, c_1010_9 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 31823328675311560291301366069/430095124236581021417472*c_1001_1^11 + 18499782861638680211369017601/61442160605225860202496*c_1001_1^10 + 50788578740409441759885119717/71682520706096836902912*c_1001_1^9 + 522017401205752223944136661805/430095124236581021417472*c_1001_1^8 + 4285961244121702175981295901/2654908174299882848256*c_1001_1^7 + 183121497267197118150264123661/107523781059145255354368*c_1001_1^6 + 35034997097718548836639573865/23894173568698945634304*c_1001_1^5 + 434862176984244921359142275179/430095124236581021417472*c_1001_1^4 + 238092895203275249001370493977/430095124236581021417472*c_1001_1^3 + 97717273963470617922038260445/430095124236581021417472*c_1001_1^2 + 113676372308388085603633903/1706726683478496116736*c_1001_1 + 3363894438858829406877878977/430095124236581021417472, c_0011_0 - 1, c_0011_10 + 1070835450377/39634290383*c_1001_1^11 + 4513859966671/39634290383*c_1001_1^10 + 10328594573318/39634290383*c_1001_1^9 + 16639029793477/39634290383*c_1001_1^8 + 20698887799806/39634290383*c_1001_1^7 + 20218335445816/39634290383*c_1001_1^6 + 15779276333082/39634290383*c_1001_1^5 + 9763704548575/39634290383*c_1001_1^4 + 4721065410985/39634290383*c_1001_1^3 + 1605542161042/39634290383*c_1001_1^2 + 372823022532/39634290383*c_1001_1 + 18640551112/39634290383, c_0011_11 - 1079692920481/39634290383*c_1001_1^11 - 3056924425523/39634290383*c_1001_1^10 - 4274871743142/39634290383*c_1001_1^9 - 3287563487505/39634290383*c_1001_1^8 + 76504558774/39634290383*c_1001_1^7 + 4708453166484/39634290383*c_1001_1^6 + 7494195546118/39634290383*c_1001_1^5 + 7501700729552/39634290383*c_1001_1^4 + 5269476512547/39634290383*c_1001_1^3 + 2750581857258/39634290383*c_1001_1^2 + 924144047892/39634290383*c_1001_1 + 213345332290/39634290383, c_0011_4 - 1, c_0011_9 - 398958530235/39634290383*c_1001_1^11 - 668444434243/39634290383*c_1001_1^10 + 134281494316/39634290383*c_1001_1^9 + 2335975928273/39634290383*c_1001_1^8 + 5257504981492/39634290383*c_1001_1^7 + 7690150106076/39634290383*c_1001_1^6 + 7962688011406/39634290383*c_1001_1^5 + 6307373250087/39634290383*c_1001_1^4 + 3756913194475/39634290383*c_1001_1^3 + 1681808293015/39634290383*c_1001_1^2 + 439335500490/39634290383*c_1001_1 + 45587374137/39634290383, c_0101_0 + c_1001_1, c_0101_1 - 1, c_0101_10 + 1925329173518/39634290383*c_1001_1^11 + 6956444486864/39634290383*c_1001_1^10 + 13478421140002/39634290383*c_1001_1^9 + 18314009490034/39634290383*c_1001_1^8 + 18743096274134/39634290383*c_1001_1^7 + 13670448028976/39634290383*c_1001_1^6 + 6625257281337/39634290383*c_1001_1^5 + 1033412939710/39634290383*c_1001_1^4 - 1319697025580/39634290383*c_1001_1^3 - 1493928404516/39634290383*c_1001_1^2 - 649873132545/39634290383*c_1001_1 - 191849548378/39634290383, c_0101_11 + 2583700905339/39634290383*c_1001_1^11 + 9754844622932/39634290383*c_1001_1^10 + 19831899405746/39634290383*c_1001_1^9 + 28847863835040/39634290383*c_1001_1^8 + 32451047914230/39634290383*c_1001_1^7 + 27897242120952/39634290383*c_1001_1^6 + 18632938435246/39634290383*c_1001_1^5 + 9293078872612/39634290383*c_1001_1^4 + 3198008448783/39634290383*c_1001_1^3 + 387841196308/39634290383*c_1001_1^2 - 96452552116/39634290383*c_1001_1 - 89017356536/39634290383, c_0101_8 + 398958530235/39634290383*c_1001_1^11 + 668444434243/39634290383*c_1001_1^10 - 134281494316/39634290383*c_1001_1^9 - 2335975928273/39634290383*c_1001_1^8 - 5257504981492/39634290383*c_1001_1^7 - 7690150106076/39634290383*c_1001_1^6 - 7962688011406/39634290383*c_1001_1^5 - 6307373250087/39634290383*c_1001_1^4 - 3756913194475/39634290383*c_1001_1^3 - 1681808293015/39634290383*c_1001_1^2 - 439335500490/39634290383*c_1001_1 - 85221664520/39634290383, c_1001_0 + 1070835450377/39634290383*c_1001_1^11 + 4513859966671/39634290383*c_1001_1^10 + 10328594573318/39634290383*c_1001_1^9 + 16639029793477/39634290383*c_1001_1^8 + 20698887799806/39634290383*c_1001_1^7 + 20218335445816/39634290383*c_1001_1^6 + 15779276333082/39634290383*c_1001_1^5 + 9763704548575/39634290383*c_1001_1^4 + 4721065410985/39634290383*c_1001_1^3 + 1645176451425/39634290383*c_1001_1^2 + 372823022532/39634290383*c_1001_1 + 18640551112/39634290383, c_1001_1^12 + 388/89*c_1001_1^11 + 977/89*c_1001_1^10 + 1783/89*c_1001_1^9 + 2539/89*c_1001_1^8 + 2902/89*c_1001_1^7 + 2734/89*c_1001_1^6 + 2113/89*c_1001_1^5 + 1340/89*c_1001_1^4 + 678/89*c_1001_1^3 + 269/89*c_1001_1^2 + 73/89*c_1001_1 + 13/89, c_1010_9 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.250 seconds, Total memory usage: 32.09MB