Magma V2.19-8 Tue Aug 20 2013 23:41:35 on localhost [Seed = 3651124591] Type ? for help. Type -D to quit. Loading file "K12n638__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K12n638 geometric_solution 10.42617280 oriented_manifold CS_known -0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 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 1 -1 0 0 0 0 0 0 10 0 -10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.854975580795 0.807900525897 0 5 7 6 0132 0132 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 -1 0 1 0 0 0 0 0 0 0 0 0 -11 11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.626759321194 0.203374664525 6 0 5 8 1302 0132 1302 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 -1 1 0 -1 0 0 1 0 0 0 0 -1 -10 11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.592338936209 0.371952764967 6 6 9 0 0132 1302 0132 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 -1 1 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 0.416260854817 0.664407481622 10 11 0 10 0132 0132 0132 1023 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 -10 0 10 -10 0 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.367825254523 0.847637589710 2 1 9 11 2031 0132 3201 1023 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 1 0 -1 -1 0 1 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 0.730495272851 0.708893566349 3 2 1 3 0132 2031 0132 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 -1 1 0 0 0 0 0 1 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.746289420583 0.849420976103 11 11 8 1 2031 1023 3012 0132 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 0 0 0 11 0 0 -11 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.819117712297 0.904349536001 10 7 2 9 1023 1230 0132 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 -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 0.613595555378 0.424608704361 5 8 10 3 2310 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 -1 0 1 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 -0.494983252552 0.478100661975 4 8 9 4 0132 1023 1023 1023 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 0 0 0 10 0 0 -10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.949738300070 1.416208343395 7 4 7 5 1023 0132 1302 1023 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 -1 1 0 0 0 0 1 10 -11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.449814171469 0.607434427649 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_1'], 'c_1001_10' : d['c_0101_8'], 'c_1001_5' : negation(d['c_0101_8']), 'c_1001_4' : d['c_0110_5'], 'c_1001_7' : negation(d['c_0011_10']), 'c_1001_6' : negation(d['c_0101_8']), 'c_1001_1' : d['c_0110_11'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0101_3'], 'c_1001_2' : d['c_0110_5'], 'c_1001_9' : d['c_0101_10'], 'c_1001_8' : d['c_1001_0'], 'c_1010_11' : d['c_0110_5'], 'c_1010_10' : d['c_0101_10'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0011_10']), 'c_0101_10' : d['c_0101_10'], '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' : negation(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_10'], 'c_1100_8' : negation(d['c_0101_3']), 'c_1100_5' : negation(d['c_0011_9']), 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : negation(d['c_1001_0']), 'c_1100_6' : negation(d['c_1001_0']), 'c_1100_1' : negation(d['c_1001_0']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : negation(d['c_0101_3']), 's_3_11' : d['1'], 'c_1100_9' : d['c_1100_0'], 'c_1100_11' : d['c_0011_9'], 'c_1100_10' : negation(d['c_1100_0']), 's_0_11' : d['1'], 'c_1010_7' : d['c_0110_11'], 'c_1010_6' : negation(d['c_0011_0']), 'c_1010_5' : d['c_0110_11'], 'c_1010_4' : d['c_0101_1'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0101_8']), 'c_1010_0' : d['c_0110_5'], 'c_1010_9' : d['c_0101_3'], 'c_1010_8' : d['c_0011_9'], '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_3_7' : d['1'], 's_3_6' : negation(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' : negation(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' : d['c_0011_10'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_10'], 'c_0110_6' : d['c_0101_3'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_0']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0110_11'], 'c_0110_10' : d['c_0101_1'], 'c_0011_6' : d['c_0011_0'], 'c_0101_7' : d['c_0011_9'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0101_3']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_0']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_8'], 'c_0101_8' : d['c_0101_8'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_3'], 'c_0110_8' : d['c_0101_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_8'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_1'], 'c_0011_10' : d['c_0011_10']})} 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_9, c_0101_0, c_0101_1, c_0101_10, c_0101_3, c_0101_8, c_0110_11, c_0110_5, c_1001_0, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t - 159292818990178610798168842372699/1736264376053642233364031345748*c\ _1100_0^14 - 141182396051909167543361296011635/43406609401341055834\ 1007836437*c_1100_0^13 - 1219570103638017558396707824559621/6945057\ 504214568933456125382992*c_1100_0^12 + 1574079844715876303547615708990631/868132188026821116682015672874*c\ _1100_0^11 + 43064230140213398247257029890320993/694505750421456893\ 3456125382992*c_1100_0^10 + 20931522235040482465049697154089331/347\ 2528752107284466728062691496*c_1100_0^9 - 934533087964299362508556879438257/67427742759364746926758498864*c_1\ 100_0^8 - 132062316856524371505543094422870549/69450575042145689334\ 56125382992*c_1100_0^7 + 79684787591759388750492155540846093/694505\ 7504214568933456125382992*c_1100_0^6 - 121715801219172002052823756567360209/347252875210728446672806269149\ 6*c_1100_0^5 - 291969189333974448525455138991707731/173626437605364\ 2233364031345748*c_1100_0^4 - 35126664126652596053609295041115369/3\ 472528752107284466728062691496*c_1100_0^3 + 108832906390843449415405909474373975/694505750421456893345612538299\ 2*c_1100_0^2 + 70748345854865724109374908653952143/6945057504214568\ 933456125382992*c_1100_0 - 895378421239309670010362832768965/173626\ 4376053642233364031345748, c_0011_0 - 1, c_0011_10 - 2789274805624719192276850714/39460554001219141667364348767*\ c_1100_0^14 - 10838427427857354286601785464/39460554001219141667364\ 348767*c_1100_0^13 - 18299443286255470494813208451/7892110800243828\ 3334728697534*c_1100_0^12 + 51407032602232417174088804932/394605540\ 01219141667364348767*c_1100_0^11 + 410446028208350443555725244939/78921108002438283334728697534*c_1100\ _0^10 + 255331200641636846522239201162/3946055400121914166736434876\ 7*c_1100_0^9 - 6267956145929494709051818213/76622434953823576053134\ 6578*c_1100_0^8 - 1338415558875131839035386243991/78921108002438283\ 334728697534*c_1100_0^7 + 222964489874371279499927973147/7892110800\ 2438283334728697534*c_1100_0^6 - 1080388369744302317386278141938/39\ 460554001219141667364348767*c_1100_0^5 - 5493029001741489600143739865520/39460554001219141667364348767*c_110\ 0_0^4 - 2197606042774353741351409067407/394605540012191416673643487\ 67*c_1100_0^3 - 1136712369804491401371234486145/7892110800243828333\ 4728697534*c_1100_0^2 - 372835626085390677598231021197/789211080024\ 38283334728697534*c_1100_0 - 28290604624762144328717336211/39460554\ 001219141667364348767, c_0011_9 + 3106863763043539223198007670/39460554001219141667364348767*c\ _1100_0^14 + 12520169631500684355592260360/394605540012191416673643\ 48767*c_1100_0^13 + 23970943705084219312692506677/78921108002438283\ 334728697534*c_1100_0^12 - 55725983523107567936993053480/3946055400\ 1219141667364348767*c_1100_0^11 - 474374931184510732981729886677/78\ 921108002438283334728697534*c_1100_0^10 - 318687563159743690362109386523/39460554001219141667364348767*c_1100\ _0^9 + 6158988786615370428385337441/766224349538235760531346578*c_1\ 100_0^8 + 1603733885994143691645766035041/7892110800243828333472869\ 7534*c_1100_0^7 - 824853825406832046799615523/789211080024382833347\ 28697534*c_1100_0^6 + 1180196457217781621192185730015/3946055400121\ 9141667364348767*c_1100_0^5 + 6265429089494504125431255111320/39460\ 554001219141667364348767*c_1100_0^4 + 3366775224753347602957512666791/39460554001219141667364348767*c_110\ 0_0^3 + 2061123201064186354481113765181/789211080024382833347286975\ 34*c_1100_0^2 + 204667604259264749111778331155/78921108002438283334\ 728697534*c_1100_0 + 31741159931516991413564803968/3946055400121914\ 1667364348767, c_0101_0 - 342371775722889322424161270/39460554001219141667364348767*c_\ 1100_0^14 - 1347849454781870214700671344/39460554001219141667364348\ 767*c_1100_0^13 - 2648141227298921414411869181/78921108002438283334\ 728697534*c_1100_0^12 + 5773150682885777109050688958/39460554001219\ 141667364348767*c_1100_0^11 + 50366167057844622875042673415/7892110\ 8002438283334728697534*c_1100_0^10 + 35010345033821105536481307974/39460554001219141667364348767*c_1100_\ 0^9 - 567063190527901628901145151/766224349538235760531346578*c_110\ 0_0^8 - 149322847019994747208625035959/7892110800243828333472869753\ 4*c_1100_0^7 - 14841744107039408290193817179/7892110800243828333472\ 8697534*c_1100_0^6 - 155461682677991631116702548797/394605540012191\ 41667364348767*c_1100_0^5 - 667052526236440414141711312053/39460554\ 001219141667364348767*c_1100_0^4 - 352717400144764396340501525258/39460554001219141667364348767*c_1100\ _0^3 - 628320842216954354455665449981/78921108002438283334728697534\ *c_1100_0^2 - 124604357876932784333582925649/7892110800243828333472\ 8697534*c_1100_0 - 27773978031577092917298135444/394605540012191416\ 67364348767, c_0101_1 + 3106863763043539223198007670/39460554001219141667364348767*c\ _1100_0^14 + 12520169631500684355592260360/394605540012191416673643\ 48767*c_1100_0^13 + 23970943705084219312692506677/78921108002438283\ 334728697534*c_1100_0^12 - 55725983523107567936993053480/3946055400\ 1219141667364348767*c_1100_0^11 - 474374931184510732981729886677/78\ 921108002438283334728697534*c_1100_0^10 - 318687563159743690362109386523/39460554001219141667364348767*c_1100\ _0^9 + 6158988786615370428385337441/766224349538235760531346578*c_1\ 100_0^8 + 1603733885994143691645766035041/7892110800243828333472869\ 7534*c_1100_0^7 - 824853825406832046799615523/789211080024382833347\ 28697534*c_1100_0^6 + 1180196457217781621192185730015/3946055400121\ 9141667364348767*c_1100_0^5 + 6265429089494504125431255111320/39460\ 554001219141667364348767*c_1100_0^4 + 3366775224753347602957512666791/39460554001219141667364348767*c_110\ 0_0^3 + 2061123201064186354481113765181/789211080024382833347286975\ 34*c_1100_0^2 + 204667604259264749111778331155/78921108002438283334\ 728697534*c_1100_0 + 31741159931516991413564803968/3946055400121914\ 1667364348767, c_0101_10 + 3159786654369877288719182880/39460554001219141667364348767*\ c_1100_0^14 + 13184881503666368050498825624/39460554001219141667364\ 348767*c_1100_0^13 + 13830726871920104360539672196/3946055400121914\ 1667364348767*c_1100_0^12 - 55617059167876572420361442958/394605540\ 01219141667364348767*c_1100_0^11 - 249819015164762810030567168911/39460554001219141667364348767*c_1100\ _0^10 - 355113005497049423040712444052/3946055400121914166736434876\ 7*c_1100_0^9 + 2810892959427603896487106806/38311217476911788026567\ 3289*c_1100_0^8 + 877076952186447893227790035680/394605540012191416\ 67364348767*c_1100_0^7 + 93174616820891232598491378942/394605540012\ 19141667364348767*c_1100_0^6 + 1155542794629022984675660171880/3946\ 0554001219141667364348767*c_1100_0^5 + 6550513433496137157117144490036/39460554001219141667364348767*c_110\ 0_0^4 + 4260484968371527307517162428455/394605540012191416673643487\ 67*c_1100_0^3 + 1187831504621651408705609382961/3946055400121914166\ 7364348767*c_1100_0^2 + 130589995315202207863954692901/394605540012\ 19141667364348767*c_1100_0 + 28772725274117998749784450889/39460554\ 001219141667364348767, c_0101_3 - 1488429990905093584982680430/39460554001219141667364348767*c\ _1100_0^14 - 5794160200925450673691148856/3946055400121914166736434\ 8767*c_1100_0^13 - 9950350159450168791825096905/7892110800243828333\ 4728697534*c_1100_0^12 + 27214835125324296192636746452/394605540012\ 19141667364348767*c_1100_0^11 + 219147363789684170310638861653/7892\ 1108002438283334728697534*c_1100_0^10 + 137953193329646357225550054745/39460554001219141667364348767*c_1100\ _0^9 - 3261834109978344813762622175/766224349538235760531346578*c_1\ 100_0^8 - 709482485928969465794624028133/78921108002438283334728697\ 534*c_1100_0^7 + 100839069803632467109584674159/7892110800243828333\ 4728697534*c_1100_0^6 - 585601044863620215444882033769/394605540012\ 19141667364348767*c_1100_0^5 - 2929996598373066740588222404001/3946\ 0554001219141667364348767*c_1100_0^4 - 1210701523918802924183855617585/39460554001219141667364348767*c_110\ 0_0^3 - 790578004060832443341586885895/7892110800243828333472869753\ 4*c_1100_0^2 - 185060083201513583647783755949/789211080024382833347\ 28697534*c_1100_0 - 23557950374128404703517843413/39460554001219141\ 667364348767, c_0101_8 + 2976117932549949226675510034/39460554001219141667364348767*c\ _1100_0^14 + 12658943906278872995293021576/394605540012191416673643\ 48767*c_1100_0^13 + 27830119565417102705234277423/78921108002438283\ 334728697534*c_1100_0^12 - 51763144004645172536574334432/3946055400\ 1219141667364348767*c_1100_0^11 - 479756024479387767332839797793/78\ 921108002438283334728697534*c_1100_0^10 - 351385467011009132821157208374/39460554001219141667364348767*c_1100\ _0^9 + 4928709939956938684364174401/766224349538235760531346578*c_1\ 100_0^8 + 1715925021940475153938559940823/7892110800243828333472869\ 7534*c_1100_0^7 + 280918356900555018466322146797/789211080024382833\ 34728697534*c_1100_0^6 + 1069298647530274812649128318837/3946055400\ 1219141667364348767*c_1100_0^5 + 6261195574161452836577722285934/39\ 460554001219141667364348767*c_1100_0^4 + 4465478856482088692620374522542/39460554001219141667364348767*c_110\ 0_0^3 + 2469322798459800119040834712323/789211080024382833347286975\ 34*c_1100_0^2 + 297423622695961469872656486205/78921108002438283334\ 728697534*c_1100_0 + 24308517291277105013377133744/3946055400121914\ 1667364348767, c_0110_11 - 1310455860030758454700301220/39460554001219141667364348767*\ c_1100_0^14 - 4973485614889287623923507372/394605540012191416673643\ 48767*c_1100_0^13 - 3544766974645004483214560023/394605540012191416\ 67364348767*c_1100_0^12 + 25655232263552847647728985759/39460554001\ 219141667364348767*c_1100_0^11 + 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