Magma V2.19-8 Tue Aug 20 2013 23:56:47 on localhost [Seed = 3481905096] Type ? for help. Type -D to quit. Loading file "L14n24650__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n24650 geometric_solution 11.76037101 oriented_manifold CS_known -0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 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 1 -1 -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 0.949803188463 1.143422976740 0 3 4 5 0132 3201 3201 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 -1 0 1 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 0.388703362215 0.833589935203 4 0 3 5 3201 0132 2103 3120 0 1 0 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 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.312410323303 0.661355378893 2 6 1 0 2103 0132 2310 0132 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 0 0 0 0 1 0 -1 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 0.312410323303 0.661355378893 1 6 0 2 2310 3012 0132 2310 0 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 -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 0 0 0 0 0 0 0.388703362215 0.833589935203 2 7 1 8 3120 0132 0132 0132 1 1 0 0 0 1 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 0 0 0 12 -1 -11 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 0.759840646056 0.905521044373 4 3 9 10 1230 0132 0132 0132 0 1 1 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 -1 0 1 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 0.273640694788 1.031762467955 11 5 9 10 0132 0132 3120 3201 1 1 0 0 0 -1 1 0 0 0 -1 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 -12 12 0 0 0 -11 11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.755451507355 0.726628009138 9 11 5 10 0132 0213 0132 3120 1 1 1 0 0 -1 1 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 -11 11 0 11 0 1 -12 -12 12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.388703362215 0.833589935203 8 11 7 6 0132 3120 3120 0132 0 1 0 1 0 0 0 0 -1 0 1 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 -11 0 11 0 0 -1 0 1 12 0 -12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.312410323303 0.661355378893 8 7 6 11 3120 2310 0132 2103 0 1 1 1 0 0 0 0 1 0 0 -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 -1 1 12 0 0 -12 0 -11 0 11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.540519385166 0.985374589415 7 9 8 10 0132 3120 0213 2103 1 1 0 0 0 0 1 -1 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 0 11 -11 0 0 -12 12 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.570135755621 0.517493160554 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_11'], 'c_1001_10' : d['c_1001_10'], 'c_1001_5' : negation(d['c_1001_10']), 'c_1001_4' : d['c_0011_3'], 'c_1001_7' : d['c_1001_11'], 'c_1001_6' : negation(d['c_0011_11']), 'c_1001_1' : negation(d['c_0101_1']), 'c_1001_0' : negation(d['c_0011_11']), 'c_1001_3' : d['c_1001_10'], 'c_1001_2' : d['c_0011_3'], 'c_1001_9' : negation(d['c_1001_11']), 'c_1001_8' : d['c_1001_11'], 'c_1010_11' : d['c_0011_8'], 'c_1010_10' : negation(d['c_0011_8']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0011_8'], 'c_0101_10' : d['c_0011_4'], '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_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_1100_8' : negation(d['c_0011_4']), 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : negation(d['c_0011_0']), 'c_1100_7' : negation(d['c_0011_10']), 'c_1100_6' : negation(d['c_0101_7']), 'c_1100_1' : negation(d['c_0011_4']), 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : negation(d['c_0101_0']), 's_3_11' : d['1'], 'c_1100_9' : negation(d['c_0101_7']), 'c_1100_11' : negation(d['c_0011_10']), 'c_1100_10' : negation(d['c_0101_7']), 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_1001_10']), 'c_1010_6' : d['c_1001_10'], 'c_1010_5' : d['c_1001_11'], 'c_1010_4' : negation(d['c_0101_6']), 'c_1010_3' : negation(d['c_0011_11']), 'c_1010_2' : negation(d['c_0011_11']), 'c_1010_1' : negation(d['c_1001_10']), 'c_1010_0' : d['c_0011_3'], 'c_1010_9' : negation(d['c_0011_11']), 'c_1010_8' : negation(d['c_0011_10']), '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'], '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' : negation(d['c_0011_8']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_11'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_11']), 'c_0011_6' : negation(d['c_0011_3']), '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' : d['c_0101_7'], 'c_0110_10' : d['c_0011_10'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_1'], '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_6'], 'c_0011_10' : d['c_0011_10'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_6'], 'c_0110_8' : d['c_0011_10'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : d['c_0101_6'], 'c_0110_4' : negation(d['c_0101_1']), 'c_0110_7' : d['c_0011_8'], 'c_0110_6' : d['c_0011_4']})} 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_8, c_0101_0, c_0101_1, c_0101_6, c_0101_7, c_1001_10, c_1001_11 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t - 27886905237954728144/148093367786767125*c_1001_11^13 + 155106220956632492528/345551191502456625*c_1001_11^12 - 1298093924200150185956/345551191502456625*c_1001_11^11 + 1251375836952632251222/148093367786767125*c_1001_11^10 - 19839905592790896836542/1036653574507369875*c_1001_11^9 + 364839864955006646096/16454818642974125*c_1001_11^8 - 27154614646822524640553/1036653574507369875*c_1001_11^7 + 38426933236126462794383/2073307149014739750*c_1001_11^6 - 14368720813007124351244/1036653574507369875*c_1001_11^5 + 2446472008877961973954/345551191502456625*c_1001_11^4 - 478652837992490178259/148093367786767125*c_1001_11^3 + 870966077553237202361/1036653574507369875*c_1001_11^2 - 40294153305465600979/207330714901473975*c_1001_11 + 29325526084904271821/691102383004913250, c_0011_0 - 1, c_0011_10 - 13635151411305232/3290963728594825*c_1001_11^13 + 27336283864023336/3290963728594825*c_1001_11^12 - 261070575324494172/3290963728594825*c_1001_11^11 + 510742403053359916/3290963728594825*c_1001_11^10 - 1178993331310582443/3290963728594825*c_1001_11^9 + 1117775221454622267/3290963728594825*c_1001_11^8 - 1384621226546622512/3290963728594825*c_1001_11^7 + 690998208402467891/3290963728594825*c_1001_11^6 - 617374447263374201/3290963728594825*c_1001_11^5 + 187380135287771098/3290963728594825*c_1001_11^4 - 116666124840085902/3290963728594825*c_1001_11^3 - 2646422724641431/3290963728594825*c_1001_11^2 - 2240082302931161/658192745718965*c_1001_11 - 1802759639427924/3290963728594825, c_0011_11 - 9452521132899016/3290963728594825*c_1001_11^13 + 21182038299030168/3290963728594825*c_1001_11^12 - 185208387982735986/3290963728594825*c_1001_11^11 + 397139031725297583/3290963728594825*c_1001_11^10 - 897686946455978759/3290963728594825*c_1001_11^9 + 973973070432763046/3290963728594825*c_1001_11^8 - 1149737059256086556/3290963728594825*c_1001_11^7 + 745354365915697408/3290963728594825*c_1001_11^6 - 558801224902062613/3290963728594825*c_1001_11^5 + 263565995637354424/3290963728594825*c_1001_11^4 - 111633298786458876/3290963728594825*c_1001_11^3 + 27642875357441722/3290963728594825*c_1001_11^2 - 1252974631962753/658192745718965*c_1001_11 + 2017932843176938/3290963728594825, c_0011_3 - 11763862764188808/3290963728594825*c_1001_11^13 + 25230687529330984/3290963728594825*c_1001_11^12 - 228144463998527418/3290963728594825*c_1001_11^11 + 472458608015419979/3290963728594825*c_1001_11^10 - 1072995618760281967/3290963728594825*c_1001_11^9 + 1111266456895411073/3290963728594825*c_1001_11^8 - 1327146364734204828/3290963728594825*c_1001_11^7 + 799283634996017104/3290963728594825*c_1001_11^6 - 617299150381401044/3290963728594825*c_1001_11^5 + 265872148693828362/3290963728594825*c_1001_11^4 - 115591943108527338/3290963728594825*c_1001_11^3 + 15903078147581686/3290963728594825*c_1001_11^2 - 1302200940511499/658192745718965*c_1001_11 - 1391003706025356/3290963728594825, c_0011_4 + 5709505277573104/3290963728594825*c_1001_11^13 - 8725629771964192/3290963728594825*c_1001_11^12 + 104303002323606884/3290963728594825*c_1001_11^11 - 164083752758317902/3290963728594825*c_1001_11^10 + 402238327783853646/3290963728594825*c_1001_11^9 - 274952008821109699/3290963728594825*c_1001_11^8 + 433476933022299539/3290963728594825*c_1001_11^7 - 141104796318685777/3290963728594825*c_1001_11^6 + 220605173293375572/3290963728594825*c_1001_11^5 - 64515486666846781/3290963728594825*c_1001_11^4 + 50120194819963519/3290963728594825*c_1001_11^3 - 7506529534616293/3290963728594825*c_1001_11^2 + 1596401826627377/658192745718965*c_1001_11 + 1071622917268578/3290963728594825, c_0011_8 + 943782564859752/3290963728594825*c_1001_11^13 - 4198906761009296/3290963728594825*c_1001_11^12 + 22216463603851042/3290963728594825*c_1001_11^11 - 78445895018639601/3290963728594825*c_1001_11^10 + 158844333280210448/3290963728594825*c_1001_11^9 - 256827891344064287/3290963728594825*c_1001_11^8 + 242879060906332782/3290963728594825*c_1001_11^7 - 235333960396385551/3290963728594825*c_1001_11^6 + 108196766559755436/3290963728594825*c_1001_11^5 - 77727495238355878/3290963728594825*c_1001_11^4 + 15401136143902997/3290963728594825*c_1001_11^3 - 5492290989965559/3290963728594825*c_1001_11^2 - 1359442798552129/658192745718965*c_1001_11 - 128158722136261/3290963728594825, c_0101_0 + 11763862764188808/3290963728594825*c_1001_11^13 - 25230687529330984/3290963728594825*c_1001_11^12 + 228144463998527418/3290963728594825*c_1001_11^11 - 472458608015419979/3290963728594825*c_1001_11^10 + 1072995618760281967/3290963728594825*c_1001_11^9 - 1111266456895411073/3290963728594825*c_1001_11^8 + 1327146364734204828/3290963728594825*c_1001_11^7 - 799283634996017104/3290963728594825*c_1001_11^6 + 617299150381401044/3290963728594825*c_1001_11^5 - 265872148693828362/3290963728594825*c_1001_11^4 + 115591943108527338/3290963728594825*c_1001_11^3 - 15903078147581686/3290963728594825*c_1001_11^2 + 1302200940511499/658192745718965*c_1001_11 + 1391003706025356/3290963728594825, c_0101_1 - 1, c_0101_6 - 6054357486615704/3290963728594825*c_1001_11^13 + 16505057757366792/3290963728594825*c_1001_11^12 - 123841461674920534/3290963728594825*c_1001_11^11 + 308374855257102077/3290963728594825*c_1001_11^10 - 670757290976428321/3290963728594825*c_1001_11^9 + 836314448074301374/3290963728594825*c_1001_11^8 - 893669431711905289/3290963728594825*c_1001_11^7 + 658178838677331327/3290963728594825*c_1001_11^6 - 396693977088025472/3290963728594825*c_1001_11^5 + 201356662026981581/3290963728594825*c_1001_11^4 - 65471748288563819/3290963728594825*c_1001_11^3 + 8396548612965393/3290963728594825*c_1001_11^2 + 294200886115878/658192745718965*c_1001_11 - 319380788756778/3290963728594825, c_0101_7 - c_1001_11, c_1001_10 + 6054357486615704/3290963728594825*c_1001_11^13 - 16505057757366792/3290963728594825*c_1001_11^12 + 123841461674920534/3290963728594825*c_1001_11^11 - 308374855257102077/3290963728594825*c_1001_11^10 + 670757290976428321/3290963728594825*c_1001_11^9 - 836314448074301374/3290963728594825*c_1001_11^8 + 893669431711905289/3290963728594825*c_1001_11^7 - 658178838677331327/3290963728594825*c_1001_11^6 + 396693977088025472/3290963728594825*c_1001_11^5 - 201356662026981581/3290963728594825*c_1001_11^4 + 65471748288563819/3290963728594825*c_1001_11^3 - 8396548612965393/3290963728594825*c_1001_11^2 - 294200886115878/658192745718965*c_1001_11 + 319380788756778/3290963728594825, c_1001_11^14 - 2*c_1001_11^13 + 77/4*c_1001_11^12 - 301/8*c_1001_11^11 + 177/2*c_1001_11^10 - 691/8*c_1001_11^9 + 895/8*c_1001_11^8 - 491/8*c_1001_11^7 + 115/2*c_1001_11^6 - 163/8*c_1001_11^5 + 111/8*c_1001_11^4 - 13/8*c_1001_11^3 + 7/4*c_1001_11^2 + 1/8*c_1001_11 + 1/8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.460 Total time: 0.670 seconds, Total memory usage: 32.09MB