Magma V2.19-8 Tue Aug 20 2013 23:53:32 on localhost [Seed = 3415056439] Type ? for help. Type -D to quit. Loading file "L13n6563__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n6563 geometric_solution 10.84801330 oriented_manifold CS_known -0.0000000000000003 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 1 1 1 0 0 0 0 0 1 0 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 -1 1 1 0 0 -1 -1 0 0 1 2 -3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.094905819924 0.689200672818 0 5 4 3 0132 0132 2310 0321 1 1 0 1 0 0 0 0 -1 0 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 -1 0 -1 2 -2 2 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.468524019708 0.696346053647 5 0 7 6 0132 0132 0132 0132 1 1 0 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 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.923790513128 1.328777493705 8 1 9 0 0132 0321 0132 0132 1 1 0 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 0 -1 1 0 0 0 0 1 0 0 -1 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.288841084833 1.205434771309 9 1 0 10 0213 3201 0132 0132 1 1 1 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 0 0 0 0 0 0 0 1 -1 0 0 0 1 -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 0.491232652200 1.076279485000 2 1 6 11 0132 0132 0213 0132 1 1 1 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 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.160334832634 1.046039391569 11 5 2 10 1302 0213 0132 2031 1 1 1 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 -1 -2 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.446188614186 0.687903993852 9 9 10 2 2031 3120 2031 0132 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.259818483735 0.939288570944 3 11 11 10 0132 3012 0132 2310 1 1 1 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 0 0 0 -2 0 0 2 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.107946647785 0.770239626760 4 7 7 3 0213 3120 1302 0132 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 -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 0.467654177523 0.629548698088 8 6 4 7 3201 1302 0132 1302 1 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.615406272275 1.234670592095 8 6 5 8 1230 2031 0132 0132 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.107946647785 0.770239626760 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0110_6']), 'c_1001_10' : d['c_0110_6'], 'c_1001_5' : d['c_1001_0'], 'c_1001_4' : negation(d['c_0011_9']), 'c_1001_7' : negation(d['c_0101_11']), 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : negation(d['c_0110_6']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0011_4'], 'c_1001_2' : negation(d['c_0011_9']), 'c_1001_9' : d['c_0101_11'], 'c_1001_8' : negation(d['c_0011_11']), 'c_1010_11' : negation(d['c_0011_11']), 'c_1010_10' : d['c_1010_10'], 's_3_11' : d['1'], 's_3_10' : 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_10'], '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_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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_11' : d['c_0011_11'], 'c_1100_8' : d['c_0011_10'], 'c_1100_5' : d['c_0011_10'], 'c_1100_4' : d['c_0101_7'], 'c_1100_7' : negation(d['c_1010_10']), 'c_1100_6' : negation(d['c_1010_10']), 'c_1100_1' : d['c_0011_4'], 'c_1100_0' : d['c_0101_7'], 'c_1100_3' : d['c_0101_7'], 'c_1100_2' : negation(d['c_1010_10']), 's_0_10' : d['1'], 'c_1100_9' : d['c_0101_7'], 'c_1100_11' : d['c_0011_10'], 'c_1100_10' : d['c_0101_7'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_9']), 'c_1010_6' : d['c_0011_10'], 'c_1010_5' : negation(d['c_0110_6']), 'c_1010_4' : d['c_0110_6'], '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_0011_4'], 'c_1010_8' : negation(d['c_0101_11']), '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' : 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' : negation(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' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_4']), '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' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0011_3']), 'c_0110_10' : d['c_0101_11'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : negation(d['c_0011_11']), 'c_0101_5' : negation(d['c_0011_11']), 'c_0101_4' : d['c_0011_9'], 'c_0101_3' : negation(d['c_0101_10']), 'c_0101_2' : d['c_0101_11'], 'c_0101_1' : d['c_0011_9'], 'c_0101_0' : negation(d['c_0011_3']), 'c_0101_9' : d['c_0011_4'], 'c_0101_8' : negation(d['c_0011_3']), 'c_0011_10' : d['c_0011_10'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0101_10']), 'c_0110_8' : negation(d['c_0101_10']), 'c_0110_1' : negation(d['c_0011_3']), 'c_0110_0' : d['c_0011_9'], 'c_0110_3' : negation(d['c_0011_3']), 'c_0110_2' : negation(d['c_0011_11']), 'c_0110_5' : d['c_0101_11'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_11'], 'c_0110_6' : d['c_0110_6']})} 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_11, c_0011_3, c_0011_4, c_0011_9, c_0101_10, c_0101_11, c_0101_7, c_0110_6, c_1001_0, c_1010_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t + 778151391515257/68298968675041533*c_1010_10^8 - 207166352131556/22766322891680511*c_1010_10^7 - 24719507227284346/68298968675041533*c_1010_10^6 - 125980259490794471/68298968675041533*c_1010_10^5 + 156223650189300433/68298968675041533*c_1010_10^4 + 755410030027880545/68298968675041533*c_1010_10^3 + 28783053939387040/2069665717425501*c_1010_10^2 - 80410653842857541/1019387592164799*c_1010_10 + 1291562728800207436/22766322891680511, c_0011_0 - 1, c_0011_10 - 21099423848/237072642081*c_1010_10^8 - 51411457626/79024214027*c_1010_10^7 - 434426936791/237072642081*c_1010_10^6 + 800833655203/237072642081*c_1010_10^5 + 4123499433469/237072642081*c_1010_10^4 + 4049437658131/237072642081*c_1010_10^3 - 522819003337/7184019457*c_1010_10^2 - 30076927610/3538397643*c_1010_10 + 4041582363173/79024214027, c_0011_11 + 6471142477/237072642081*c_1010_10^8 + 16056851284/79024214027*c_1010_10^7 + 141043979132/237072642081*c_1010_10^6 - 216965574605/237072642081*c_1010_10^5 - 1266709635497/237072642081*c_1010_10^4 - 1448189784005/237072642081*c_1010_10^3 + 148614123632/7184019457*c_1010_10^2 + 16604812624/3538397643*c_1010_10 - 1073615336082/79024214027, c_0011_3 - 273840601/237072642081*c_1010_10^8 - 1263796046/79024214027*c_1010_10^7 - 21406223879/237072642081*c_1010_10^6 - 49954762117/237072642081*c_1010_10^5 + 37451520257/237072642081*c_1010_10^4 + 411346627715/237072642081*c_1010_10^3 + 21097239693/7184019457*c_1010_10^2 - 6307179907/3538397643*c_1010_10 - 291072309441/79024214027, c_0011_4 + 37402722311/237072642081*c_1010_10^8 + 91308742203/79024214027*c_1010_10^7 + 773369779696/237072642081*c_1010_10^6 - 1411809121858/237072642081*c_1010_10^5 - 7338146227660/237072642081*c_1010_10^4 - 7288292045956/237072642081*c_1010_10^3 + 923850317700/7184019457*c_1010_10^2 + 64933409408/3538397643*c_1010_10 - 7080091179966/79024214027, c_0011_9 - 1, c_0101_10 + 96602083054/237072642081*c_1010_10^8 + 235616868064/79024214027*c_1010_10^7 + 1994975647418/237072642081*c_1010_10^6 - 3641829978836/237072642081*c_1010_10^5 - 18871409365313/237072642081*c_1010_10^4 - 18705094344875/237072642081*c_1010_10^3 + 2382462080043/7184019457*c_1010_10^2 + 153885052609/3538397643*c_1010_10 - 18280249281972/79024214027, c_0101_11 + 6698280832/237072642081*c_1010_10^8 + 15066938069/79024214027*c_1010_10^7 + 105864257000/237072642081*c_1010_10^6 - 370836767921/237072642081*c_1010_10^5 - 1308736066514/237072642081*c_1010_10^4 - 553075415597/237072642081*c_1010_10^3 + 214531876923/7184019457*c_1010_10^2 - 8002554554/3538397643*c_1010_10 - 1828235612345/79024214027, c_0101_7 - 3094853075/79024214027*c_1010_10^8 - 23147294505/79024214027*c_1010_10^7 - 68406424623/79024214027*c_1010_10^6 + 99201924538/79024214027*c_1010_10^5 + 597791099987/79024214027*c_1010_10^4 + 698130057972/79024214027*c_1010_10^3 - 205719462421/7184019457*c_1010_10^2 - 6025642252/1179465881*c_1010_10 + 1446446109794/79024214027, c_0110_6 - 14381530759/237072642081*c_1010_10^8 - 35661104064/79024214027*c_1010_10^7 - 311116402589/237072642081*c_1010_10^6 + 493624766819/237072642081*c_1010_10^5 + 2826583776725/237072642081*c_1010_10^4 + 3120487887398/237072642081*c_1010_10^3 - 334396118121/7184019457*c_1010_10^2 - 32897602123/3538397643*c_1010_10 + 2426604695535/79024214027, c_1001_0 - 9010718624/237072642081*c_1010_10^8 - 21883498459/79024214027*c_1010_10^7 - 183813049990/237072642081*c_1010_10^6 + 347560535731/237072642081*c_1010_10^5 + 1755921779704/237072642081*c_1010_10^4 + 1683043546201/237072642081*c_1010_10^3 - 226816702114/7184019457*c_1010_10^2 - 11769746849/3538397643*c_1010_10 + 1737518419235/79024214027, c_1010_10^9 + 6*c_1010_10^8 + 11*c_1010_10^7 - 65*c_1010_10^6 - 146*c_1010_10^5 + 64*c_1010_10^4 + 1071*c_1010_10^3 - 962*c_1010_10^2 - 714*c_1010_10 + 747 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.120 Total time: 0.330 seconds, Total memory usage: 32.09MB