Magma V2.19-8 Wed Aug 21 2013 01:04:22 on localhost [Seed = 1460752155] Type ? for help. Type -D to quit. Loading file "L14n24139__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n24139 geometric_solution 12.43233764 oriented_manifold CS_known 0.0000000000000003 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 0 0 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 -3 0 3 1 0 0 -1 -1 1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.279035607730 1.521315346547 0 4 5 2 0132 1023 0132 1023 0 0 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 0 0 0 -1 0 -2 3 1 -1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.279035607730 1.521315346547 6 0 7 1 0132 0132 0132 1023 0 0 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 3 0 -3 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 0.492554731197 0.487580540132 8 8 5 0 0132 1230 0321 0132 0 0 1 0 0 0 0 0 0 0 0 0 -1 1 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 4 -3 0 -1 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.605045406191 1.065169874323 1 9 0 10 1023 0132 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 -3 3 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 0.492554731197 0.487580540132 11 11 3 1 0132 1230 0321 0132 0 0 1 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 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.605045406191 1.065169874323 2 9 10 9 0132 1023 2103 0132 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 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 0.525905380803 0.770494503376 10 9 12 2 1230 0321 0132 0132 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 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 0.602983114577 0.548300374320 3 11 3 12 0132 2103 3012 0132 0 0 0 1 0 0 0 0 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 0 0 0 0 0 0 0 2 0 0 -2 -4 1 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.596815626035 0.709797718570 6 4 6 7 1023 0132 0132 0321 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 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 0.525905380803 0.770494503376 6 7 4 12 2103 3012 0132 3201 0 0 0 1 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 -3 2 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 0.602983114577 0.548300374320 5 8 5 12 0132 2103 3012 2310 0 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 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 0.596815626035 0.709797718570 11 10 8 7 3201 2310 0132 0132 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 1 0 -1 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.909983916072 0.593602760617 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_11'], 'c_1001_10' : negation(d['c_0011_7']), 'c_1001_12' : d['c_0101_7'], 'c_1001_5' : negation(d['c_0011_12']), 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : negation(d['c_0110_10']), 'c_1001_6' : d['c_0011_10'], 'c_1001_1' : d['c_0101_1'], 'c_1001_0' : d['c_0101_0'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_0011_7']), 'c_1001_8' : d['c_0011_11'], 'c_1010_12' : negation(d['c_0110_10']), 'c_1010_11' : negation(d['c_0101_7']), 'c_1010_10' : negation(d['c_0101_7']), 's_3_11' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_1'], 'c_0101_10' : d['c_0101_10'], '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_12' : 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' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_1001_3'], 'c_1100_4' : negation(d['c_0011_12']), 'c_1100_7' : negation(d['c_1001_3']), 'c_1100_6' : negation(d['c_0110_10']), 'c_1100_1' : d['c_1001_3'], 'c_1100_0' : negation(d['c_0011_12']), 'c_1100_3' : negation(d['c_0011_12']), 'c_1100_2' : negation(d['c_1001_3']), 's_0_10' : d['1'], 'c_1100_11' : d['c_0011_12'], 'c_1100_10' : negation(d['c_0011_12']), 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_2'], 'c_1010_6' : negation(d['c_0011_7']), 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : negation(d['c_0011_7']), 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : d['c_0101_10'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_2'], 'c_1010_8' : d['c_0101_7'], 'c_1100_8' : negation(d['c_1001_3']), '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' : negation(d['c_1001_3']), '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_0'], 'c_0011_8' : d['c_0011_11'], 'c_0011_5' : negation(d['c_0011_11']), 'c_0011_4' : negation(d['c_0011_0']), 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : d['c_0011_0'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_11']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0101_12']), 'c_0110_10' : d['c_0110_10'], 'c_0110_12' : d['c_0101_7'], 'c_0101_12' : d['c_0101_12'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_10'], 'c_0101_5' : negation(d['c_0101_12']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_12'], 'c_0101_2' : d['c_0011_10'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_10'], 'c_0101_8' : d['c_0101_0'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_7']), 'c_0110_8' : d['c_0101_12'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0110_10']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_10'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0011_10'], 'c_0110_6' : 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_7, c_0101_0, c_0101_1, c_0101_10, c_0101_12, c_0101_7, c_0110_10, c_1001_2, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 12732742332802649/41183398556392576*c_1001_3^7 - 189805362653838233/72070947473687008*c_1001_3^6 - 13834497524199956515/72070947473687008*c_1001_3^5 - 16969983555689086459/20591699278196288*c_1001_3^4 - 240387465710182802993/72070947473687008*c_1001_3^3 - 1572498257540161730167/288283789894748032*c_1001_3^2 - 24233180336706032315/18017736868421752*c_1001_3 - 8382936058622492643/144141894947374016, c_0011_0 - 1, c_0011_10 - 4805430641/92669292464*c_1001_3^7 - 33359708019/92669292464*c_1001_3^6 - 2934163400101/92669292464*c_1001_3^5 - 8205776959229/92669292464*c_1001_3^4 - 157692990737/357796496*c_1001_3^3 - 12657830421245/46334646232*c_1001_3^2 - 3306591835693/46334646232*c_1001_3 - 32180466301/11583661558, c_0011_11 - 614678501/92669292464*c_1001_3^7 - 4332197619/92669292464*c_1001_3^6 - 375761960933/92669292464*c_1001_3^5 - 1089305820373/92669292464*c_1001_3^4 - 5330548062579/92669292464*c_1001_3^3 - 51180676859/1252287736*c_1001_3^2 - 572227452565/46334646232*c_1001_3 - 1249027902/827404397, c_0011_12 + 2171195773/46334646232*c_1001_3^7 + 15077654161/46334646232*c_1001_3^6 + 1325736502535/46334646232*c_1001_3^5 + 3710514068843/46334646232*c_1001_3^4 + 18452424232489/46334646232*c_1001_3^3 + 1432332012192/5791830779*c_1001_3^2 + 1430382272171/23167323116*c_1001_3 + 23966135115/11583661558, c_0011_7 - 1523357611/23167323116*c_1001_3^7 - 21112950085/46334646232*c_1001_3^6 - 1860080086115/46334646232*c_1001_3^5 - 5179871587481/46334646232*c_1001_3^4 - 25853276625733/46334646232*c_1001_3^3 - 15786755321385/46334646232*c_1001_3^2 - 2129917253731/23167323116*c_1001_3 - 12630012353/3309617588, c_0101_0 - 1, c_0101_1 - 614678501/92669292464*c_1001_3^7 - 4332197619/92669292464*c_1001_3^6 - 375761960933/92669292464*c_1001_3^5 - 1089305820373/92669292464*c_1001_3^4 - 5330548062579/92669292464*c_1001_3^3 - 51180676859/1252287736*c_1001_3^2 - 572227452565/46334646232*c_1001_3 - 421623505/827404397, c_0101_10 + 221701755/23167323116*c_1001_3^7 + 3094579381/46334646232*c_1001_3^6 + 270844590955/46334646232*c_1001_3^5 + 767135084841/46334646232*c_1001_3^4 + 3791327062885/46334646232*c_1001_3^3 + 2462449397545/46334646232*c_1001_3^2 + 299223740659/23167323116*c_1001_3 - 5968308513/23167323116, c_0101_12 + 1727792263/46334646232*c_1001_3^7 + 2995768695/11583661558*c_1001_3^6 + 263722977895/11583661558*c_1001_3^5 + 1471689492001/23167323116*c_1001_3^4 + 3665274292401/11583661558*c_1001_3^3 + 1285172385713/6619235176*c_1001_3^2 + 276997802099/5791830779*c_1001_3 + 30733255627/23167323116, c_0101_7 + 1284388753/46334646232*c_1001_3^7 + 1269785057/6619235176*c_1001_3^6 + 21190468125/1252287736*c_1001_3^5 + 2176243899161/46334646232*c_1001_3^4 + 10869770106719/46334646232*c_1001_3^3 + 3266878651223/23167323116*c_1001_3^2 + 808767467737/23167323116*c_1001_3 + 3383560256/5791830779, c_0110_10 - 120140749/6619235176*c_1001_3^7 - 2896958009/23167323116*c_1001_3^6 - 256601364835/23167323116*c_1001_3^5 - 176138601790/5791830779*c_1001_3^4 - 3539221521917/23167323116*c_1001_3^3 - 4071307904901/46334646232*c_1001_3^2 - 254771863539/11583661558*c_1001_3 + 3664773579/23167323116, c_1001_2 - 4957070047/92669292464*c_1001_3^7 - 4926786563/13238470352*c_1001_3^6 - 3027234966003/92669292464*c_1001_3^5 - 8510333958059/92669292464*c_1001_3^4 - 42235396527557/92669292464*c_1001_3^3 - 13352341141319/46334646232*c_1001_3^2 - 3432991996907/46334646232*c_1001_3 - 29868864185/11583661558, c_1001_3^8 + 7*c_1001_3^7 + 611*c_1001_3^6 + 1743*c_1001_3^5 + 8601*c_1001_3^4 + 5768*c_1001_3^3 + 1712*c_1001_3^2 + 140*c_1001_3 + 4 ], 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_7, c_0101_0, c_0101_1, c_0101_10, c_0101_12, c_0101_7, c_0110_10, c_1001_2, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 58333134/32921875*c_1001_3^7 + 296359572/32921875*c_1001_3^6 - 793378307/32921875*c_1001_3^5 + 216425736/4703125*c_1001_3^4 - 433848138/6584375*c_1001_3^3 + 10154599/134375*c_1001_3^2 - 1890651437/32921875*c_1001_3 + 888972016/32921875, c_0011_0 - 1, c_0011_10 - c_1001_3^2 + c_1001_3 - 1, c_0011_11 - c_1001_3^7 + 3*c_1001_3^6 - 6*c_1001_3^5 + 10*c_1001_3^4 - 12*c_1001_3^3 + 12*c_1001_3^2 - 6*c_1001_3 + 4, c_0011_12 - c_1001_3, c_0011_7 + c_1001_3^2 - c_1001_3 + 1, c_0101_0 - 1, c_0101_1 - 1, c_0101_10 + c_1001_3 - 1, c_0101_12 + 2*c_1001_3^6 - 3*c_1001_3^5 + 8*c_1001_3^4 - 8*c_1001_3^3 + 12*c_1001_3^2 - 6*c_1001_3 + 5, c_0101_7 - c_1001_3^5 + c_1001_3^4 - 2*c_1001_3^3 + c_1001_3^2 - c_1001_3, c_0110_10 - c_1001_3^4 + c_1001_3^3 - c_1001_3^2, c_1001_2 + c_1001_3 - 1, c_1001_3^8 - 3*c_1001_3^7 + 8*c_1001_3^6 - 13*c_1001_3^5 + 20*c_1001_3^4 - 20*c_1001_3^3 + 18*c_1001_3^2 - 9*c_1001_3 + 5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.260 Total time: 0.460 seconds, Total memory usage: 32.09MB