Magma V2.19-8 Wed Aug 21 2013 00:22:06 on localhost [Seed = 3886151096] Type ? for help. Type -D to quit. Loading file "K14n11807__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K14n11807 geometric_solution 11.62088930 oriented_manifold CS_known 0.0000000000000005 1 0 torus 0.000000000000 0.000000000000 13 1 2 3 4 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 0 1 -1 0 0 0 0 1 -1 0 0 0 12 -12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.483324864246 0.829581727613 0 5 3 5 0132 0132 1302 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 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 -11 0 11 -1 -11 12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.645562879715 0.535180337241 4 0 7 6 1023 0132 0132 0132 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 12 -12 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.090430563127 0.801571011730 1 8 9 0 2031 0132 0132 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 1 0 -1 0 0 0 0 -12 0 0 12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.475677731163 0.899949921440 8 2 0 10 0213 1023 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 1 0 0 -1 0 -12 0 12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.991505495219 1.270491928777 11 1 10 1 0132 0132 1302 1023 0 0 0 0 0 0 0 0 -1 0 1 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 0 0 0 12 0 -12 0 0 11 0 -11 -11 11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.852806743292 0.595570544658 12 10 2 12 0132 0132 0132 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.307745217582 0.982978945879 8 9 12 2 3201 2103 1023 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 -1 0 0 1 -1 0 0 1 0 11 -11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.456319337505 0.415222136202 4 3 11 7 0213 0132 0213 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.005262290638 0.787061512787 12 7 11 3 1302 2103 0132 0132 0 0 0 0 0 0 0 0 -1 0 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 11 0 -11 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 0.017185722435 0.862301321834 5 6 4 11 2031 0132 0132 0132 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 0 0 0 0 0 1 -1 0 0 0 0 12 0 -12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.331271940333 0.538008460343 5 8 10 9 0132 0213 0132 0132 0 0 0 0 0 0 0 0 1 0 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 -12 0 1 11 11 0 0 -11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.907795789174 0.730344431909 6 9 7 6 0132 2031 1023 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 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 1.167266160493 1.563017956481 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_0'], 'c_1001_10' : d['c_0101_6'], 'c_1001_12' : d['c_0101_10'], 'c_1001_5' : d['c_0101_11'], 'c_1001_4' : d['c_0101_2'], 'c_1001_7' : d['c_0011_9'], 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : d['c_0101_2'], 'c_1001_9' : d['c_0011_7'], 'c_1001_8' : d['c_1001_0'], 'c_1010_12' : d['c_0011_9'], 'c_1010_11' : d['c_0011_7'], 'c_1010_10' : d['c_1001_0'], 's_0_10' : 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_11'], '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' : negation(d['c_0011_0']), 'c_1100_8' : d['c_0011_7'], 'c_0011_12' : d['c_0011_10'], 'c_1100_5' : d['c_0101_10'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : negation(d['c_1100_12']), 'c_1100_6' : negation(d['c_1100_12']), 'c_1100_1' : negation(d['c_0101_10']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : negation(d['c_1100_12']), 's_3_11' : d['1'], 'c_1100_11' : d['c_1100_0'], 'c_1100_10' : d['c_1100_0'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0101_2'], 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : d['c_0101_0'], 'c_1010_4' : d['c_0101_6'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0101_11'], 'c_1010_0' : d['c_0101_2'], 'c_1010_9' : negation(d['c_0101_2']), 'c_1010_8' : negation(d['c_0101_2']), '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' : d['c_1100_12'], '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_9'], 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_0']), 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : negation(d['c_0011_10']), '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' : negation(d['c_0011_10']), 'c_0110_10' : d['c_0101_11'], 'c_0110_12' : d['c_0101_6'], 'c_0101_12' : d['c_0011_9'], 'c_0110_0' : negation(d['c_0011_3']), 'c_0101_7' : d['c_0101_10'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0011_10']), 'c_0101_4' : negation(d['c_0011_3']), 'c_0101_3' : negation(d['c_0101_10']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_3']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_10']), 'c_0101_8' : negation(d['c_0011_0']), 'c_0011_10' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0101_10']), 'c_0110_8' : negation(d['c_0101_10']), 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_1100_0'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : d['c_0101_11'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_2'], 'c_0110_6' : d['c_0011_9']})} 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_3, c_0011_7, c_0011_9, c_0101_0, c_0101_10, c_0101_11, c_0101_2, c_0101_6, c_1001_0, c_1100_0, c_1100_12 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 2 Groebner basis: [ t + 45/2*c_1100_12 + 1/4, c_0011_0 - 1, c_0011_10 + c_1100_12, c_0011_3 - c_1100_12, c_0011_7 + c_1100_12, c_0011_9 - 1, c_0101_0 + c_1100_12, c_0101_10 + c_1100_12 - 1, c_0101_11 - c_1100_12, c_0101_2 + c_1100_12, c_0101_6 - c_1100_12, c_1001_0 - c_1100_12 + 1, c_1100_0 + 1, c_1100_12^2 - 1/2*c_1100_12 + 1/2 ], Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_7, c_0011_9, c_0101_0, c_0101_10, c_0101_11, c_0101_2, c_0101_6, c_1001_0, c_1100_0, c_1100_12 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t + 602/9315*c_1100_12^3 - 509/3105*c_1100_12^2 - 8072/3105*c_1100_12 + 229/46, c_0011_0 - 1, c_0011_10 - 2/27*c_1100_12^3 - 2/9*c_1100_12^2 - 1, c_0011_3 - 1/3*c_1100_12, c_0011_7 - 2/9*c_1100_12^2 - 1/3*c_1100_12, c_0011_9 + 2/27*c_1100_12^3 + 4/9*c_1100_12^2 - c_1100_12 + 2, c_0101_0 + 1/3*c_1100_12, c_0101_10 + 1/3*c_1100_12 - 1, c_0101_11 + 2/27*c_1100_12^3 + 2/9*c_1100_12^2 - 2/3*c_1100_12 + 1, c_0101_2 + 2/27*c_1100_12^3 + 2/9*c_1100_12^2 - 2/3*c_1100_12 + 1, c_0101_6 - 2/27*c_1100_12^3 - 4/9*c_1100_12^2 + 2/3*c_1100_12 - 1, c_1001_0 + 1/3*c_1100_12 - 1, c_1100_0 - 1, c_1100_12^4 + 3*c_1100_12^3 - 27/2*c_1100_12^2 + 27*c_1100_12 - 81/2 ], Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_7, c_0011_9, c_0101_0, c_0101_10, c_0101_11, c_0101_2, c_0101_6, c_1001_0, c_1100_0, c_1100_12 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t - 1538281695841919979056110129183/37827648451628477038756646487*c_110\ 0_12^14 + 6159700508523013203853663374598/3782764845162847703875664\ 6487*c_1100_12^13 + 21653079345151636597475614253/13180365314156263\ 7765702601*c_1100_12^12 - 57280535277079564726095684221557/37827648\ 451628477038756646487*c_1100_12^11 + 99827029265686152472092936077177/37827648451628477038756646487*c_11\ 00_12^10 + 8616940176899812031122909272032/126092161505428256795855\ 48829*c_1100_12^9 - 640614133393333856919252354347723/3782764845162\ 8477038756646487*c_1100_12^8 + 25498688266061559284354628672844/600\ 438864311563127599311849*c_1100_12^7 - 1038270886616385822163766361740782/37827648451628477038756646487*c_\ 1100_12^6 - 332240263498602171642845294422144/378276484516284770387\ 56646487*c_1100_12^5 - 28957823061438768264211313534530/18013165929\ 34689382797935547*c_1100_12^4 + 699578492040996953706421357761991/3\ 7827648451628477038756646487*c_1100_12^3 + 34775806531014708860848109036092/4203072050180941893195182943*c_110\ 0_12^2 + 186842049445586405287156842350863/378276484516284770387566\ 46487*c_1100_12 - 31793496209444854883027657705615/3782764845162847\ 7038756646487, c_0011_0 - 1, c_0011_10 - 96615687537674981560/6751890432947217753481*c_1100_12^14 + 184414339808519669564/6751890432947217753481*c_1100_12^13 + 1267679863796186693483/6751890432947217753481*c_1100_12^12 - 3108879953272880258358/6751890432947217753481*c_1100_12^11 - 1349692340282652900504/6751890432947217753481*c_1100_12^10 + 17698542385801774999581/6751890432947217753481*c_1100_12^9 - 43169944603310760560475/6751890432947217753481*c_1100_12^8 + 17682279396732861758207/6751890432947217753481*c_1100_12^7 + 178206568427151256186853/6751890432947217753481*c_1100_12^6 - 252283469921264585581862/6751890432947217753481*c_1100_12^5 + 6688974240938422078839/6751890432947217753481*c_1100_12^4 - 12100097033300319637853/6751890432947217753481*c_1100_12^3 + 88599220903876088298569/6751890432947217753481*c_1100_12^2 + 22600472698069832270047/6751890432947217753481*c_1100_12 + 1608363134011329072023/6751890432947217753481, c_0011_3 - 24806022216514361987/613808221177019795771*c_1100_12^14 + 101025200733029149000/613808221177019795771*c_1100_12^13 + 94334430342248076244/613808221177019795771*c_1100_12^12 - 932007237965343098804/613808221177019795771*c_1100_12^11 + 1662620517511711451882/613808221177019795771*c_1100_12^10 + 326972604776053702110/613808221177019795771*c_1100_12^9 - 10355493963723551435238/613808221177019795771*c_1100_12^8 + 26506410815252719048393/613808221177019795771*c_1100_12^7 - 18203012412767436741103/613808221177019795771*c_1100_12^6 - 4402941992826574513637/613808221177019795771*c_1100_12^5 - 10430908382371317758063/613808221177019795771*c_1100_12^4 + 12680101307567464648392/613808221177019795771*c_1100_12^3 + 4350877493767581037516/613808221177019795771*c_1100_12^2 + 3432944895980716909495/613808221177019795771*c_1100_12 + 7198728814869229328/613808221177019795771, c_0011_7 + 162573431820530016916/6751890432947217753481*c_1100_12^14 - 634811837846836749742/6751890432947217753481*c_1100_12^13 - 729093681838453973369/6751890432947217753481*c_1100_12^12 + 6087150100613201862442/6751890432947217753481*c_1100_12^11 - 10173744167465838168051/6751890432947217753481*c_1100_12^10 - 4373416256055233897828/6751890432947217753481*c_1100_12^9 + 70284092889818419907363/6751890432947217753481*c_1100_12^8 - 166982597574844112022353/6751890432947217753481*c_1100_12^7 + 88577035428821325495367/6751890432947217753481*c_1100_12^6 + 81032383344944697405412/6751890432947217753481*c_1100_12^5 - 3843217911201414894123/6751890432947217753481*c_1100_12^4 - 27216953043086866340196/6751890432947217753481*c_1100_12^3 - 42880110147261145163138/6751890432947217753481*c_1100_12^2 + 3526769532526649891868/6751890432947217753481*c_1100_12 - 5098703342544089363548/6751890432947217753481, c_0011_9 - 90697202840799201566/6751890432947217753481*c_1100_12^14 + 351610824163329150560/6751890432947217753481*c_1100_12^13 + 419294050289600993616/6751890432947217753481*c_1100_12^12 - 3402229066000372512675/6751890432947217753481*c_1100_12^11 + 5598296445331388855109/6751890432947217753481*c_1100_12^10 + 2715840014131839721032/6751890432947217753481*c_1100_12^9 - 39562520639945707653943/6751890432947217753481*c_1100_12^8 + 92581911256733653802397/6751890432947217753481*c_1100_12^7 - 45723667653558721994857/6751890432947217753481*c_1100_12^6 - 52141945090249365741138/6751890432947217753481*c_1100_12^5 + 10611835144401845057125/6751890432947217753481*c_1100_12^4 + 8285799490641128498104/6751890432947217753481*c_1100_12^3 + 24775270340413005666796/6751890432947217753481*c_1100_12^2 - 2697055602923082896666/6751890432947217753481*c_1100_12 + 6934167945883716736831/6751890432947217753481, c_0101_0 + 95765179802196097122/6751890432947217753481*c_1100_12^14 - 302157375875277715891/6751890432947217753481*c_1100_12^13 - 762633552470469885982/6751890432947217753481*c_1100_12^12 + 3491730783345555052141/6751890432947217753481*c_1100_12^11 - 3192233425139166476577/6751890432947217753481*c_1100_12^10 - 8981972138534153557390/6751890432947217753481*c_1100_12^9 + 43731961900838624596583/6751890432947217753481*c_1100_12^8 - 68720683460456509966157/6751890432947217753481*c_1100_12^7 - 42275882391987499455432/6751890432947217753481*c_1100_12^6 + 150592083300439064725379/6751890432947217753481*c_1100_12^5 - 33752503868308235924952/6751890432947217753481*c_1100_12^4 + 10896539110183170257027/6751890432947217753481*c_1100_12^3 - 56561575723835729172620/6751890432947217753481*c_1100_12^2 - 9426411777879009006817/6751890432947217753481*c_1100_12 - 6818583324289938467752/6751890432947217753481, c_0101_10 + 1, c_0101_11 - 6967910482914965960/6751890432947217753481*c_1100_12^14 - 99582588221904905066/6751890432947217753481*c_1100_12^13 + 680568344292770936294/6751890432947217753481*c_1100_12^12 - 365282553323539420189/6751890432947217753481*c_1100_12^11 - 4675730776532755303264/6751890432947217753481*c_1100_12^10 + 13979260688989402488421/6751890432947217753481*c_1100_12^9 - 11966541790468575389579/6751890432947217753481*c_1100_12^8 - 45436419356213126753313/6751890432947217753481*c_1100_12^7 + 190529178571828307715508/6751890432947217753481*c_1100_12^6 - 259727981009140677767728/6751890432947217753481*c_1100_12^5 + 113881679957961112847054/6751890432947217753481*c_1100_12^4 - 23226970621083652367283/6751890432947217753481*c_1100_12^3 + 58118648558601096346373/6751890432947217753481*c_1100_12^2 - 21997247407098531944329/6751890432947217753481*c_1100_12 - 413285481365079616329/6751890432947217753481, c_0101_2 + 190172850884176707682/6751890432947217753481*c_1100_12^14 - 809782221098984015316/6751890432947217753481*c_1100_12^13 - 545889775398686085948/6751890432947217753481*c_1100_12^12 + 7190063963245121542443/6751890432947217753481*c_1100_12^11 - 14374598967141203378452/6751890432947217753481*c_1100_12^10 + 905677055389660332098/6751890432947217753481*c_1100_12^9 + 79174206645059536286168/6751890432947217753481*c_1100_12^8 - 221161860402109254520405/6751890432947217753481*c_1100_12^7 + 190824856998571593009206/6751890432947217753481*c_1100_12^6 - 10013257156037118763360/6751890432947217753481*c_1100_12^5 + 53053165671092071208045/6751890432947217753481*c_1100_12^4 - 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