Magma V2.19-8 Wed Aug 21 2013 00:57:18 on localhost [Seed = 610418425] Type ? for help. Type -D to quit. Loading file "L13n4204__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n4204 geometric_solution 12.32611840 oriented_manifold CS_known 0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 1 2 3 0132 1302 0132 0132 1 1 1 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 5 0 -5 0 0 0 0 5 -5 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.416568160921 0.827684201704 0 4 5 0 0132 0132 0132 2031 1 1 0 1 0 0 1 -1 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 -5 5 0 0 5 -5 1 -1 0 0 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.568949875096 0.807139397675 4 4 6 0 0132 1230 0132 0132 1 1 0 1 0 0 0 0 0 0 0 0 -1 1 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 2 -1 0 -1 -6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.636076002542 0.698587634633 6 7 0 8 1302 0132 0132 0132 1 1 1 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 0 0 0 0 -6 5 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 -0.301389460915 1.614456650462 2 1 2 7 0132 0132 3012 2310 1 1 1 0 0 0 1 -1 0 0 0 0 -1 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 -6 6 0 0 0 0 6 -5 0 -1 -2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.287403507929 0.782628327203 9 10 11 1 0132 0132 0132 0132 1 1 1 1 0 1 0 -1 -1 0 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 -5 0 5 5 0 0 -5 0 0 0 0 -6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.093898705082 0.711412007381 9 3 8 2 2031 2031 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.223113242097 0.954309665669 4 3 12 11 3201 0132 0132 1302 1 1 1 1 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 6 0 -6 1 0 0 -1 -6 0 0 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.387984231216 1.005664162440 12 10 3 6 2031 1023 0132 0132 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 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 0.223787139469 0.673474235407 5 12 6 11 0132 2031 1302 3201 1 1 1 1 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 -5 0 0 5 6 0 0 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.403780008100 0.682431018637 8 5 12 11 1023 0132 3012 2310 1 1 1 1 0 -1 0 1 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 5 0 -5 -1 0 0 1 0 -6 0 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.034022102448 1.194797817362 10 9 7 5 3201 2310 2031 0132 1 1 1 1 0 -1 1 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 6 -6 0 -6 0 6 0 5 -5 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.210624962417 1.315666132054 9 10 8 7 1302 1230 1302 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.082024633452 0.632765489209 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_12']), 'c_1001_10' : negation(d['c_0011_12']), 'c_1001_12' : negation(d['c_0011_11']), 'c_1001_5' : negation(d['c_0101_5']), 'c_1001_4' : d['c_0011_0'], 'c_1001_7' : d['c_0101_10'], 'c_1001_6' : negation(d['c_0101_11']), 'c_1001_1' : negation(d['c_0011_12']), 'c_1001_0' : d['c_0101_0'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_0011_3'], 'c_1001_9' : d['c_0101_2'], 'c_1001_8' : d['c_0101_10'], 'c_1010_12' : d['c_0101_10'], 'c_1010_11' : negation(d['c_0101_5']), 'c_1010_10' : negation(d['c_0101_5']), 's_3_11' : 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' : negation(d['1']), 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : negation(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' : negation(d['1']), 's_0_6' : negation(d['1']), 's_0_7' : d['1'], 's_0_4' : d['1'], 's_0_5' : negation(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_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_1001_3']), 'c_1100_4' : negation(d['c_0011_3']), 'c_1100_7' : d['c_0101_11'], 'c_1100_6' : d['c_1100_0'], 'c_1100_1' : negation(d['c_1001_3']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_1100_0'], 's_0_10' : d['1'], 'c_1100_11' : negation(d['c_1001_3']), 'c_1100_10' : d['c_0011_11'], 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_3'], 'c_1010_6' : d['c_0011_3'], 'c_1010_5' : negation(d['c_0011_12']), 'c_1010_4' : negation(d['c_0011_12']), 'c_1010_3' : d['c_0101_10'], 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : d['c_0011_0'], 'c_1010_0' : d['c_1001_3'], 'c_1010_9' : d['c_0011_12'], 'c_1010_8' : negation(d['c_0101_11']), 'c_1100_8' : d['c_1100_0'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : negation(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'], 'c_1100_12' : d['c_0101_11'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_10'], 'c_0011_8' : d['c_0011_10'], 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_3']), 'c_0011_6' : d['c_0011_6'], '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_5'], 'c_0110_10' : negation(d['c_0101_11']), 'c_0110_12' : negation(d['c_0101_2']), 'c_0101_12' : negation(d['c_0011_10']), 'c_0110_0' : negation(d['c_0011_6']), 'c_0101_7' : negation(d['c_0101_2']), 'c_0101_6' : negation(d['c_0011_11']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : negation(d['c_0011_6']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_6']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_6']), 'c_0101_8' : d['c_0101_11'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_5'], 'c_0110_8' : negation(d['c_0011_11']), 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0011_11']), 'c_0110_3' : d['c_0101_11'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : negation(d['c_0011_6']), 'c_0110_4' : d['c_0101_2'], 'c_0110_7' : d['c_0011_12'], 'c_0110_6' : d['c_0101_2']})} 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_11, c_0011_12, c_0011_3, c_0011_6, c_0101_0, c_0101_10, c_0101_11, c_0101_2, c_0101_5, c_1001_3, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t + 153783632393237833849313732540272/488823381961032138163653355731*c_\ 1100_0^8 - 955764783469606936407398930873375/4888233819610321381636\ 53355731*c_1100_0^7 + 525725898209259455614102760479004/16294112732\ 0344046054551118577*c_1100_0^6 + 8813474165363646773036153491810231\ /488823381961032138163653355731*c_1100_0^5 - 888290402763156193743217231052050/54313709106781348684850372859*c_1\ 100_0^4 - 427343781866774978473284504949841/21253190520044875572332\ 754597*c_1100_0^3 + 54218440040608125598165644257602/16132784883202\ 38079748030877*c_1100_0^2 - 8560792914932320289844888966339988/4888\ 23381961032138163653355731*c_1100_0 + 22101420080816748963985031955437/6034856567420149853872263651, c_0011_0 - 1, c_0011_10 - 50383632116660495/59036698613010941*c_1100_0^8 + 326930852098820786/59036698613010941*c_1100_0^7 - 592363478464277686/59036698613010941*c_1100_0^6 - 2802592159884281036/59036698613010941*c_1100_0^5 + 3478521337124278448/59036698613010941*c_1100_0^4 + 3122880025858230554/59036698613010941*c_1100_0^3 - 6395746249099760284/59036698613010941*c_1100_0^2 + 3538286608606407926/59036698613010941*c_1100_0 - 761358930160990402/59036698613010941, c_0011_11 - 92990069093970259/177110095839032823*c_1100_0^8 + 614968539087159710/177110095839032823*c_1100_0^7 - 383990411822403703/59036698613010941*c_1100_0^6 - 5120568915588128167/177110095839032823*c_1100_0^5 + 2377683020506032842/59036698613010941*c_1100_0^4 + 6031869519127867819/177110095839032823*c_1100_0^3 - 4103482323215541939/59036698613010941*c_1100_0^2 + 6914844021161356252/177110095839032823*c_1100_0 - 496176768864414343/59036698613010941, c_0011_12 - 16704094064203174/177110095839032823*c_1100_0^8 + 73563781954027235/177110095839032823*c_1100_0^7 + 2078486946133795/59036698613010941*c_1100_0^6 - 1205610229806497833/177110095839032823*c_1100_0^5 - 316404116462445362/59036698613010941*c_1100_0^4 + 1978162546451344960/177110095839032823*c_1100_0^3 + 192629646920927784/59036698613010941*c_1100_0^2 - 1328020050794703938/177110095839032823*c_1100_0 + 182134275886957941/59036698613010941, c_0011_3 + 297261361998653171/177110095839032823*c_1100_0^8 - 1898192750328860590/177110095839032823*c_1100_0^7 + 1110107557395322169/59036698613010941*c_1100_0^6 + 16705787226747361628/177110095839032823*c_1100_0^5 - 6200758934354301884/59036698613010941*c_1100_0^4 - 18383385963766559963/177110095839032823*c_1100_0^3 + 11834697344733138361/59036698613010941*c_1100_0^2 - 19608392222502462308/177110095839032823*c_1100_0 + 1384248980398692500/59036698613010941, c_0011_6 + 1, c_0101_0 - 768412166106408070/531330287517098469*c_1100_0^8 + 4769597313719638532/531330287517098469*c_1100_0^7 - 2617340502430852235/177110095839032823*c_1100_0^6 - 44033938082331579697/531330287517098469*c_1100_0^5 + 4380588871884158089/59036698613010941*c_1100_0^4 + 49156300579237643746/531330287517098469*c_1100_0^3 - 27045907395587231609/177110095839032823*c_1100_0^2 + 42328905540446166625/531330287517098469*c_1100_0 - 953064124491304206/59036698613010941, c_0101_10 + 120396879095826839/177110095839032823*c_1100_0^8 - 772516313433849727/177110095839032823*c_1100_0^7 + 455961182593867429/59036698613010941*c_1100_0^6 + 6743796051139060295/177110095839032823*c_1100_0^5 - 2577165894727438207/59036698613010941*c_1100_0^4 - 7589432655656681621/177110095839032823*c_1100_0^3 + 4808650134288136303/59036698613010941*c_1100_0^2 - 7960643241902658893/177110095839032823*c_1100_0 + 595898672762646341/59036698613010941, c_0101_11 - 188264180304591739/177110095839032823*c_1100_0^8 + 1163021754161612717/177110095839032823*c_1100_0^7 - 628382852051253145/59036698613010941*c_1100_0^6 - 10871960419387844656/177110095839032823*c_1100_0^5 + 3133869215712812880/59036698613010941*c_1100_0^4 + 12473662895667118843/177110095839032823*c_1100_0^3 - 6528779441638563795/59036698613010941*c_1100_0^2 + 9869699667086401996/177110095839032823*c_1100_0 - 623919338386606549/59036698613010941, c_0101_2 - 49917690160531484/177110095839032823*c_1100_0^8 + 374515547722850566/177110095839032823*c_1100_0^7 - 291940292113829997/59036698613010941*c_1100_0^6 - 2409901034756351621/177110095839032823*c_1100_0^5 + 2193397875076688471/59036698613010941*c_1100_0^4 + 1911756593798920928/177110095839032823*c_1100_0^3 - 3431202852348144766/59036698613010941*c_1100_0^2 + 7294284491815877159/177110095839032823*c_1100_0 - 618623970552067598/59036698613010941, c_0101_5 + 298506878982683413/177110095839032823*c_1100_0^8 - 1840618861379745779/177110095839032823*c_1100_0^7 + 992667421685011683/59036698613010941*c_1100_0^6 + 17218440330433296535/177110095839032823*c_1100_0^5 - 4880468496725433448/59036698613010941*c_1100_0^4 - 19377697063526731297/177110095839032823*c_1100_0^3 + 10316253446656348871/59036698613010941*c_1100_0^2 - 15551184206665032190/177110095839032823*c_1100_0 + 1034816649970553992/59036698613010941, c_1001_3 - 82447890612707229/59036698613010941*c_1100_0^8 + 507892400868670008/59036698613010941*c_1100_0^7 - 818167265281492172/59036698613010941*c_1100_0^6 - 4765295397330336669/59036698613010941*c_1100_0^5 + 4007361059277613413/59036698613010941*c_1100_0^4 + 5490543123322546345/59036698613010941*c_1100_0^3 - 8403494492384993595/59036698613010941*c_1100_0^2 + 4104702576895528383/59036698613010941*c_1100_0 - 824661708459635843/59036698613010941, c_1100_0^9 - 215/31*c_1100_0^8 + 456/31*c_1100_0^7 + 1552/31*c_1100_0^6 - 2898/31*c_1100_0^5 - 865/31*c_1100_0^4 + 4767/31*c_1100_0^3 - 4051/31*c_1100_0^2 + 1539/31*c_1100_0 - 243/31 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 1.320 Total time: 1.530 seconds, Total memory usage: 32.09MB