Magma V2.19-8 Tue Aug 20 2013 23:42:36 on localhost [Seed = 172781419] Type ? for help. Type -D to quit. Loading file "L14n24001__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n24001 geometric_solution 8.37238107 oriented_manifold CS_known 0.0000000000000000 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 10 1 2 1 3 0132 0132 2310 0132 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 -1 0 1 0 0 0 0 -6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.818144271216 1.584281029254 0 0 5 4 0132 3201 0132 0132 1 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 0 0 0 0 0 0 0 0 0 0 6 0 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.302517944020 0.405526180606 4 0 7 6 1302 0132 0132 0132 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 1 0 -1 0 0 0 0 -1 0 0 1 0 -6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.144461223884 1.264862513657 8 6 0 4 0132 2031 0132 0213 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 0 -1 1 0 0 0 0 -5 -1 0 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.826958157890 0.375430953929 5 2 1 3 1230 2031 0132 0213 1 1 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 0 0 0 0 1 0 -1 6 0 0 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.081782941308 1.617290805726 9 4 6 1 0132 3012 2310 0132 1 1 1 1 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 -6 0 6 5 0 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.210921719094 0.335554624726 3 5 2 7 1302 3201 0132 2310 1 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 5 1 -6 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 -0.144461223884 1.264862513657 6 7 7 2 3201 1230 3012 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 0 0 0 0 0 0 0 6 0 0 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.615234274384 0.603646800953 3 9 9 9 0132 0321 0213 0132 0 1 1 1 0 -1 1 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 3 -2 -1 0 0 0 0 0 -5 0 5 5 0 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.997393379659 0.455173646090 5 8 8 8 0132 0213 0132 0321 0 1 1 1 0 -1 0 1 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 2 1 -3 0 0 0 0 -5 0 0 5 0 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.012580830743 2.196891703070 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_5' : negation(d['c_0011_4']), 'c_1001_4' : d['c_0011_3'], 'c_1001_7' : negation(d['c_0011_7']), 'c_1001_6' : negation(d['c_0011_3']), 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : negation(d['c_0011_3']), 'c_1001_3' : d['c_0101_7'], 'c_1001_2' : d['c_0101_7'], 'c_1001_9' : d['c_1001_8'], 'c_1001_8' : d['c_1001_8'], 's_2_8' : d['1'], 's_2_9' : d['1'], 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : 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' : negation(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_1100_9' : d['c_1001_8'], 'c_1100_8' : d['c_1001_8'], 'c_1100_5' : d['c_0011_6'], 'c_1100_4' : d['c_0011_6'], 'c_1100_7' : d['c_0011_7'], 'c_1100_6' : d['c_0011_7'], 'c_1100_1' : d['c_0011_6'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : d['c_0011_7'], 'c_1010_7' : d['c_0101_7'], 'c_1010_6' : d['c_0011_4'], 'c_1010_5' : negation(d['c_0101_0']), 'c_1010_4' : negation(d['c_0011_0']), 'c_1010_3' : d['c_0011_6'], 'c_1010_2' : negation(d['c_0011_3']), 'c_1010_1' : d['c_0011_3'], 'c_1010_0' : d['c_0101_7'], 'c_1010_9' : d['c_1001_8'], 'c_1010_8' : d['c_1001_8'], 's_3_1' : negation(d['1']), 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : negation(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' : negation(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' : negation(d['c_0011_5']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], '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' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : negation(d['c_0011_3']), 'c_0101_5' : d['c_0011_3'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : negation(d['c_0011_4']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_1'], 'c_0101_8' : negation(d['c_0011_5']), 'c_0110_9' : d['c_0011_3'], 'c_0110_8' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0011_5']), 'c_0110_2' : negation(d['c_0011_3']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0011_5'], 'c_0110_7' : negation(d['c_0011_4']), 'c_0110_6' : negation(d['c_0101_7'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 11 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_4, c_0011_5, c_0011_6, c_0011_7, c_0101_0, c_0101_1, c_0101_7, c_1001_8 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 130981922532000853/1603480712142848*c_0101_7^9 - 2988065423906729/9110685864448*c_0101_7^8 + 1001272472840087229/801740356071424*c_0101_7^7 - 1220506103647572677/400870178035712*c_0101_7^6 + 206379203696711687/36442743457792*c_0101_7^5 - 6093875537261036227/801740356071424*c_0101_7^4 + 2901087909389090317/400870178035712*c_0101_7^3 - 520515555484030025/114534336581632*c_0101_7^2 + 2700939185063517977/1603480712142848*c_0101_7 - 54673575315089807/200435089017856, c_0011_0 - 1, c_0011_3 - 18988467721/5321662304*c_0101_7^9 + 10306487351/665207788*c_0101_7^8 - 155148496201/2660831152*c_0101_7^7 + 196501882919/1330415576*c_0101_7^6 - 371185008813/1330415576*c_0101_7^5 + 1029328478267/2660831152*c_0101_7^4 - 506042817753/1330415576*c_0101_7^3 + 95128023217/380118736*c_0101_7^2 - 522874073581/5321662304*c_0101_7 + 11581510223/665207788, c_0011_4 + 116461559273/21286649216*c_0101_7^9 - 15371855729/665207788*c_0101_7^8 + 933597869193/10643324608*c_0101_7^7 - 1167208111485/5321662304*c_0101_7^6 + 2204007515477/5321662304*c_0101_7^5 - 6064786795031/10643324608*c_0101_7^4 + 2966511832685/5321662304*c_0101_7^3 - 551656982197/1520474944*c_0101_7^2 + 2963245983309/21286649216*c_0101_7 - 58960014811/2660831152, c_0011_5 - 17236958607/2660831152*c_0101_7^9 + 41293450601/1330415576*c_0101_7^8 - 77532563133/665207788*c_0101_7^7 + 410204109205/1330415576*c_0101_7^6 - 797097356343/1330415576*c_0101_7^5 + 287519157531/332603894*c_0101_7^4 - 1183316923445/1330415576*c_0101_7^3 + 58712439611/95029684*c_0101_7^2 - 686993237253/2660831152*c_0101_7 + 16336533287/332603894, c_0011_6 - 1, c_0011_7 - 23934743449/21286649216*c_0101_7^9 + 5690589685/1330415576*c_0101_7^8 - 172187388353/10643324608*c_0101_7^7 + 205060398145/5321662304*c_0101_7^6 - 369969372273/5321662304*c_0101_7^5 + 969132183343/10643324608*c_0101_7^4 - 441158196209/5321662304*c_0101_7^3 + 76799306157/1520474944*c_0101_7^2 - 383817536173/21286649216*c_0101_7 + 7883793915/2660831152, c_0101_0 + 327639858089/21286649216*c_0101_7^9 - 86225301679/1330415576*c_0101_7^8 + 2619462165297/10643324608*c_0101_7^7 - 3273135222873/5321662304*c_0101_7^6 + 6180047128065/5321662304*c_0101_7^5 - 17024291669199/10643324608*c_0101_7^4 + 8353020380097/5321662304*c_0101_7^3 - 1564973425005/1520474944*c_0101_7^2 + 8592892182397/21286649216*c_0101_7 - 186792412939/2660831152, c_0101_1 + 15485449493/5321662304*c_0101_7^9 - 20680475899/1330415576*c_0101_7^8 + 154981756331/2660831152*c_0101_7^7 - 106851113143/665207788*c_0101_7^6 + 212956173765/665207788*c_0101_7^5 - 1270824781981/2660831152*c_0101_7^4 + 169318526423/332603894*c_0101_7^3 - 139721735227/380118736*c_0101_7^2 + 851112400925/5321662304*c_0101_7 - 21091556351/665207788, c_0101_7^10 - 136/29*c_0101_7^9 + 18*c_0101_7^8 - 1380/29*c_0101_7^7 + 2740/29*c_0101_7^6 - 4054/29*c_0101_7^5 + 4388/29*c_0101_7^4 - 3342/29*c_0101_7^3 + 1681/29*c_0101_7^2 - 496/29*c_0101_7 + 64/29, c_1001_8 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.240 seconds, Total memory usage: 32.09MB