Magma V2.19-8 Tue Aug 20 2013 16:14:22 on localhost [Seed = 1899031890] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s363 geometric_solution 4.58385192 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 6 1 2 1 3 0132 0132 2310 0132 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 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 -0.433310379038 2.588479364219 0 0 1 1 0132 3201 1230 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.179826781473 0.151441081691 3 0 4 3 3201 0132 0132 3120 0 0 0 0 0 1 -1 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 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 0.387609153644 0.683582363656 2 4 0 2 3120 1023 0132 2310 0 0 0 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 0 0 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 0.387609153644 0.683582363656 3 5 5 2 1023 0132 3201 0132 0 0 0 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 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 0.653481698545 0.262934768343 4 4 5 5 2310 0132 2031 1302 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.167296593224 0.949271043324 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : 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_0' : 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' : d['1'], 's_2_5' : 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_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_1100_5' : d['c_0101_5'], 'c_1100_4' : d['c_0011_3'], 'c_1100_1' : d['c_0101_0'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : d['c_0011_3'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_3']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_3']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : 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_1001_5' : d['c_0101_4'], 'c_1001_4' : negation(d['c_0101_5']), 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : negation(d['c_0011_3']), 'c_1001_3' : d['c_0101_4'], 'c_1001_2' : d['c_0101_4'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_3']), 'c_0110_3' : negation(d['c_0101_2']), 'c_0110_2' : negation(d['c_0101_2']), 'c_0110_5' : negation(d['c_0101_4']), 'c_0110_4' : d['c_0101_2'], 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : d['c_0101_4'], 'c_1010_3' : d['c_0101_2'], 'c_1010_2' : negation(d['c_0011_3']), 'c_1010_1' : d['c_0011_3'], 'c_1010_0' : d['c_0101_4']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0101_0, c_0101_2, c_0101_4, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t + 1821117436426009683879/4862449005005484752*c_0101_5^17 + 8107211097729563562129/12156122512513711880*c_0101_5^16 - 24705551605868165146221/24312245025027423760*c_0101_5^15 - 96722149554132553890419/24312245025027423760*c_0101_5^14 - 35852964429980801801163/12156122512513711880*c_0101_5^13 + 174138284974707475050579/24312245025027423760*c_0101_5^12 - 73490174326690791174783/12156122512513711880*c_0101_5^11 - 172798786305673334437409/12156122512513711880*c_0101_5^10 + 727100637461684334476401/12156122512513711880*c_0101_5^9 + 317305486606297458283113/6078061256256855940*c_0101_5^8 - 381951480318035102084083/6078061256256855940*c_0101_5^7 - 1472363095921173591185729/24312245025027423760*c_0101_5^6 + 293180127080275810760183/24312245025027423760*c_0101_5^5 + 278498129508650404895577/12156122512513711880*c_0101_5^4 + 104000494660694353797941/24312245025027423760*c_0101_5^3 - 40053454638126179550399/12156122512513711880*c_0101_5^2 - 5083825856986501976161/6078061256256855940*c_0101_5 + 878692803740199150661/4862449005005484752, c_0011_0 - 1, c_0011_3 + 49413141835016543659/4862449005005484752*c_0101_5^17 + 27554965729839912103/1519515314064213985*c_0101_5^16 - 667202687354433162859/24312245025027423760*c_0101_5^15 - 2623959377718304964623/24312245025027423760*c_0101_5^14 - 489496512915458749983/6078061256256855940*c_0101_5^13 + 940399494219113336597/4862449005005484752*c_0101_5^12 - 398896069950850017789/2431224502502742376*c_0101_5^11 - 4687121417198161425221/12156122512513711880*c_0101_5^10 + 3940252781329003084183/2431224502502742376*c_0101_5^9 + 1727349870284252034003/1215612251251371188*c_0101_5^8 - 10282035559386267998211/6078061256256855940*c_0101_5^7 - 39863635775587756118757/24312245025027423760*c_0101_5^6 + 7770117075916618350977/24312245025027423760*c_0101_5^5 + 7429481189311178813913/12156122512513711880*c_0101_5^4 + 2676046213198287705917/24312245025027423760*c_0101_5^3 - 263518431231816081343/3039030628128427970*c_0101_5^2 - 240831092375550494023/12156122512513711880*c_0101_5 + 129203753814577165879/24312245025027423760, c_0101_0 + 35740335169519403215/4862449005005484752*c_0101_5^17 + 33061716540061553099/2431224502502742376*c_0101_5^16 - 456013195472907333861/24312245025027423760*c_0101_5^15 - 1918034710646322718363/24312245025027423760*c_0101_5^14 - 776977313094448481481/12156122512513711880*c_0101_5^13 + 3244423958849665183467/24312245025027423760*c_0101_5^12 - 1359537239071339167699/12156122512513711880*c_0101_5^11 - 3436330417247116996349/12156122512513711880*c_0101_5^10 + 13991955866247496443673/12156122512513711880*c_0101_5^9 + 6651115608073953727549/6078061256256855940*c_0101_5^8 - 6806822066163065988471/6078061256256855940*c_0101_5^7 - 29774922134791610701881/24312245025027423760*c_0101_5^6 + 2873758910584844578043/24312245025027423760*c_0101_5^5 + 5059823491095377141147/12156122512513711880*c_0101_5^4 + 2750557593843622641297/24312245025027423760*c_0101_5^3 - 581110323002717233971/12156122512513711880*c_0101_5^2 - 24552621342384563654/1519515314064213985*c_0101_5 + 42953891787131268433/24312245025027423760, c_0101_2 - 216116549653650692283/4862449005005484752*c_0101_5^17 - 966571189253338807853/12156122512513711880*c_0101_5^16 + 2918420488334563114461/24312245025027423760*c_0101_5^15 + 2299766401787184397731/4862449005005484752*c_0101_5^14 + 858471146112586678127/2431224502502742376*c_0101_5^13 - 20599937597361176599571/24312245025027423760*c_0101_5^12 + 8665107202351800883107/12156122512513711880*c_0101_5^11 + 20631171714019380784089/12156122512513711880*c_0101_5^10 - 86206068709912389082329/12156122512513711880*c_0101_5^9 - 37992726864535438150657/6078061256256855940*c_0101_5^8 + 9034460223216602701011/1215612251251371188*c_0101_5^7 + 175306787016305533320077/24312245025027423760*c_0101_5^6 - 34612057031710320858283/24312245025027423760*c_0101_5^5 - 32858600701234767772747/12156122512513711880*c_0101_5^4 - 2389933167218517333657/4862449005005484752*c_0101_5^3 + 4740513274860175530217/12156122512513711880*c_0101_5^2 + 583194279406083727621/6078061256256855940*c_0101_5 - 585001861851712566497/24312245025027423760, c_0101_4 + 18282897779532638947/607806125625685594*c_0101_5^17 + 82124605039177250917/1519515314064213985*c_0101_5^16 - 492494509614534868479/6078061256256855940*c_0101_5^15 - 488070340921586139697/1519515314064213985*c_0101_5^14 - 732729160314112404451/3039030628128427970*c_0101_5^13 + 697761545902686727801/1215612251251371188*c_0101_5^12 - 144431479958879380325/303903062812842797*c_0101_5^11 - 3510767556595506526811/3039030628128427970*c_0101_5^10 + 2912842392934658981163/607806125625685594*c_0101_5^9 + 1299997718780207634283/303903062812842797*c_0101_5^8 - 7637617275417429697551/1519515314064213985*c_0101_5^7 - 15086016007166940422001/3039030628128427970*c_0101_5^6 + 2873502636900538824241/3039030628128427970*c_0101_5^5 + 11419543773655353230851/6078061256256855940*c_0101_5^4 + 2133131357774909606817/6078061256256855940*c_0101_5^3 - 1639089445323640971839/6078061256256855940*c_0101_5^2 - 104875783933833528904/1519515314064213985*c_0101_5 + 96701704140518562669/6078061256256855940, c_0101_5^18 + 7/5*c_0101_5^17 - 17/5*c_0101_5^16 - 48/5*c_0101_5^15 - 19/5*c_0101_5^14 + 111/5*c_0101_5^13 - 117/5*c_0101_5^12 - 32*c_0101_5^11 + 872/5*c_0101_5^10 + 394/5*c_0101_5^9 - 1112/5*c_0101_5^8 - 491/5*c_0101_5^7 + 478/5*c_0101_5^6 + 247/5*c_0101_5^5 - 63/5*c_0101_5^4 - 67/5*c_0101_5^3 + 6/5*c_0101_5^2 + 7/5*c_0101_5 - 1/5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB