Magma V2.19-8 Tue Aug 20 2013 16:17:09 on localhost [Seed = 3229703188] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1397 geometric_solution 5.24472185 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 4 0132 0132 0132 0132 0 0 0 0 0 -1 0 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 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 0.690848377241 1.202731345530 0 4 2 3 0132 1302 1302 2031 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.640900245944 0.625174125907 1 0 2 2 2031 0132 1230 3012 0 0 0 0 0 1 -1 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 -1 1 0 0 -1 1 -1 0 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.449750178766 1.066405058551 5 1 5 0 0132 1302 1023 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.581961765405 0.428210392767 6 6 0 1 0132 2310 0132 2031 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 0 0 0 0 0 0 0 0 0 0 -0.934944525602 0.959231731441 3 5 3 5 0132 1302 1023 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.566391591160 0.099306643300 4 6 6 4 0132 1230 3012 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.094824063646 0.659732260097 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(d['1']), 's_3_0' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_2_0' : negation(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_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : negation(d['1']), 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : d['1'], 's_0_6' : 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_1100_6' : negation(d['c_0011_4']), 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : negation(d['c_0011_3']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0101_2'], 'c_1100_0' : negation(d['c_0011_3']), 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : d['c_0101_6'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0011_0'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_0'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_4']), '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_3'], 'c_1001_4' : negation(d['c_0101_6']), 'c_1001_6' : d['c_0011_4'], 'c_1001_1' : d['c_0101_6'], 'c_1001_0' : negation(d['c_0101_2']), 'c_1001_3' : d['c_0101_0'], 'c_1001_2' : negation(d['c_0101_6']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0101_6'], 'c_0110_6' : d['c_0011_0'], 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : negation(d['c_0011_3']), 'c_1010_4' : negation(d['c_0011_0']), 'c_1010_3' : negation(d['c_0101_2']), 'c_1010_2' : negation(d['c_0101_2']), 'c_1010_1' : d['c_0011_3'], 'c_1010_0' : negation(d['c_0101_6'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_4, c_0101_0, c_0101_2, c_0101_3, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 22 Groebner basis: [ t - 79251382568596812430/2585381661703897*c_0101_6^21 + 1387674652156771864451/51707633234077940*c_0101_6^20 + 5564550299340424530203/12926908308519485*c_0101_6^19 - 26313063484089738404969/25853816617038970*c_0101_6^18 - 6818385954766541713872/12926908308519485*c_0101_6^17 + 227717071152936865963853/51707633234077940*c_0101_6^16 - 25346991631610056627005/5170763323407794*c_0101_6^15 - 74722346732031560342577/51707633234077940*c_0101_6^14 + 382121056673639453357823/51707633234077940*c_0101_6^13 - 126634965725455494645691/25853816617038970*c_0101_6^12 - 21459535987423662917353/10341526646815588*c_0101_6^11 + 221143926882253840280909/51707633234077940*c_0101_6^10 - 10477866341446826180654/12926908308519485*c_0101_6^9 - 102038764624605305876467/51707633234077940*c_0101_6^8 + 2022499228009093496581/1783021835657860*c_0101_6^7 + 25623817728200339073497/51707633234077940*c_0101_6^6 - 15501195303082577834201/25853816617038970*c_0101_6^5 - 7557108799542801171/445755458914465*c_0101_6^4 + 1181830783130897346187/5170763323407794*c_0101_6^3 - 1462315555696603467176/12926908308519485*c_0101_6^2 + 283742147187132701182/12926908308519485*c_0101_6 - 77501227809873833253/51707633234077940, c_0011_0 - 1, c_0011_3 + 3034824281816/9286765535*c_0101_6^21 + 1137683560123/9286765535*c_0101_6^20 - 179960225589059/37147062140*c_0101_6^19 + 187613913477191/37147062140*c_0101_6^18 + 131770021050111/7429412428*c_0101_6^17 - 1371534518091283/37147062140*c_0101_6^16 - 71591152381949/18573531070*c_0101_6^15 + 619971879045116/9286765535*c_0101_6^14 - 1747324622853951/37147062140*c_0101_6^13 - 352737210384902/9286765535*c_0101_6^12 + 1208195053606553/18573531070*c_0101_6^11 - 290973113748033/37147062140*c_0101_6^10 - 358588703080753/9286765535*c_0101_6^9 + 188628047111672/9286765535*c_0101_6^8 + 507851975233299/37147062140*c_0101_6^7 - 25950060678650/1857353107*c_0101_6^6 - 81140199051257/37147062140*c_0101_6^5 + 221641051536291/37147062140*c_0101_6^4 - 31096344738111/37147062140*c_0101_6^3 - 51895510361899/37147062140*c_0101_6^2 + 4758306586631/7429412428*c_0101_6 - 2892389529427/37147062140, c_0011_4 + 894192594366/9286765535*c_0101_6^21 + 232658724885/7429412428*c_0101_6^20 - 53163833642273/37147062140*c_0101_6^19 + 57876379772767/37147062140*c_0101_6^18 + 192465209570241/37147062140*c_0101_6^17 - 207373215872937/18573531070*c_0101_6^16 - 6557751264987/9286765535*c_0101_6^15 + 740402253748893/37147062140*c_0101_6^14 - 137276906548248/9286765535*c_0101_6^13 - 202203632038757/18573531070*c_0101_6^12 + 740250731354331/37147062140*c_0101_6^11 - 27830588043724/9286765535*c_0101_6^10 - 21523243695935/1857353107*c_0101_6^9 + 242265308938747/37147062140*c_0101_6^8 + 36713069608589/9286765535*c_0101_6^7 - 162797852122029/37147062140*c_0101_6^6 - 19924548308293/37147062140*c_0101_6^5 + 68589717876113/37147062140*c_0101_6^4 - 11327791712031/37147062140*c_0101_6^3 - 15881084436301/37147062140*c_0101_6^2 + 7633661940669/37147062140*c_0101_6 - 230667493934/9286765535, c_0101_0 - 4638391795999102374/12926908308519485*c_0101_6^21 - 7975812251050999357/51707633234077940*c_0101_6^20 + 137050742693079935889/25853816617038970*c_0101_6^19 - 68041016341816618468/12926908308519485*c_0101_6^18 - 507374650700757002579/25853816617038970*c_0101_6^17 + 407356629974206751855/10341526646815588*c_0101_6^16 + 150896526269985644601/25853816617038970*c_0101_6^15 - 3733721572126243388633/51707633234077940*c_0101_6^14 + 2492207701529573988637/51707633234077940*c_0101_6^13 + 220922142674246180177/5170763323407794*c_0101_6^12 - 3546433068058726352389/51707633234077940*c_0101_6^11 + 316999451699083026451/51707633234077940*c_0101_6^10 + 537782964023187054778/12926908308519485*c_0101_6^9 - 1053501582635970209379/51707633234077940*c_0101_6^8 - 27221390252634654653/1783021835657860*c_0101_6^7 + 744675179437791587197/51707633234077940*c_0101_6^6 + 35705013558952864874/12926908308519485*c_0101_6^5 - 1113090754507796377/178302183565786*c_0101_6^4 + 9276604158171646151/12926908308519485*c_0101_6^3 + 38383219000166476701/25853816617038970*c_0101_6^2 - 16653014558667902431/25853816617038970*c_0101_6 + 778226823302667985/10341526646815588, c_0101_2 - 11940791790220/93514003751*c_0101_6^21 - 7713197517581/187028007502*c_0101_6^20 + 177687689815851/93514003751*c_0101_6^19 - 193195470599122/93514003751*c_0101_6^18 - 644525597654821/93514003751*c_0101_6^17 + 2768745654748193/187028007502*c_0101_6^16 + 95873785071621/93514003751*c_0101_6^15 - 4949418383772909/187028007502*c_0101_6^14 + 3633568898911361/187028007502*c_0101_6^13 + 1363189769538063/93514003751*c_0101_6^12 - 4915648394867677/187028007502*c_0101_6^11 + 705542180525335/187028007502*c_0101_6^10 + 1435063978635082/93514003751*c_0101_6^9 - 1589383485672533/187028007502*c_0101_6^8 - 34104702396031/6449241638*c_0101_6^7 + 1073073695036227/187028007502*c_0101_6^6 + 70818939239185/93514003751*c_0101_6^5 - 7814074886890/3224620819*c_0101_6^4 + 35917599983922/93514003751*c_0101_6^3 + 52464299810673/93514003751*c_0101_6^2 - 24986976932424/93514003751*c_0101_6 + 6174002414969/187028007502, c_0101_3 - 1266362171874514110/2585381661703897*c_0101_6^21 - 12054454610471326829/51707633234077940*c_0101_6^20 + 372866180953339990657/51707633234077940*c_0101_6^19 - 355217678602060630663/51707633234077940*c_0101_6^18 - 1391080906587950060893/51707633234077940*c_0101_6^17 + 1356480906064686556449/25853816617038970*c_0101_6^16 + 24649345929068354562/2585381661703897*c_0101_6^15 - 5023597371553031623017/51707633234077940*c_0101_6^14 + 805330663832342561412/12926908308519485*c_0101_6^13 + 1524107839115575371969/25853816617038970*c_0101_6^12 - 937142693977386571943/10341526646815588*c_0101_6^11 + 80127795129421694581/12926908308519485*c_0101_6^10 + 720512188263630422896/12926908308519485*c_0101_6^9 - 1344603706165637115187/51707633234077940*c_0101_6^8 - 9303044387096628361/445755458914465*c_0101_6^7 + 967987367804791766417/51707633234077940*c_0101_6^6 + 207704160772256292713/51707633234077940*c_0101_6^5 - 14614431593452626729/1783021835657860*c_0101_6^4 + 8473125491111852727/10341526646815588*c_0101_6^3 + 101731626170207610921/51707633234077940*c_0101_6^2 - 42924422956938416017/51707633234077940*c_0101_6 + 1236211462751943883/12926908308519485, c_0101_6^22 - 1/8*c_0101_6^21 - 15*c_0101_6^20 + 183/8*c_0101_6^19 + 371/8*c_0101_6^18 - 140*c_0101_6^17 + 363/8*c_0101_6^16 + 1673/8*c_0101_6^15 - 1973/8*c_0101_6^14 - 337/8*c_0101_6^13 + 2051/8*c_0101_6^12 - 1001/8*c_0101_6^11 - 837/8*c_0101_6^10 + 973/8*c_0101_6^9 + 77/8*c_0101_6^8 - 127/2*c_0101_6^7 + 61/4*c_0101_6^6 + 171/8*c_0101_6^5 - 95/8*c_0101_6^4 - 23/8*c_0101_6^3 + 33/8*c_0101_6^2 - 5/4*c_0101_6 + 1/8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB