Magma V2.19-8 Tue Aug 20 2013 23:39:34 on localhost [Seed = 1814693920] Type ? for help. Type -D to quit. Loading file "K14a12718__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K14a12718 geometric_solution 9.76451095 oriented_manifold CS_known -0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 11 1 1 2 3 0132 1230 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 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 0.240842892057 1.020287306911 0 4 0 5 0132 0132 3012 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 -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 0.780850993988 0.928385086421 6 7 8 0 0132 0132 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 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 1.073937028997 0.629562165301 9 6 0 8 0132 2310 0132 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 -1 1 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 -0.383684186218 1.247349891728 9 1 7 9 2103 0132 1230 3201 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 7 1 0 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.486059794521 1.172020157049 7 5 1 5 2103 2310 0132 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 -1 0 1 0 0 -1 1 0 -1 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.629411535818 0.660263865796 2 9 7 3 0132 2310 2103 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 1 -1 0 0 0 0 -1 0 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.624068297778 0.675285311131 6 2 5 4 2103 0132 2103 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 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 0.895404402107 0.527763039680 10 3 10 2 0132 2310 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 0.648444948816 0.746251753799 3 4 4 6 0132 2310 2103 3201 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 8 -7 -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 0.486059794521 1.172020157049 8 10 8 10 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 0.526063485681 0.144840670468 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : d['c_0101_8'], 'c_1001_5' : d['c_0110_5'], 'c_1001_4' : d['c_0110_5'], 'c_1001_7' : d['c_0011_5'], 'c_1001_6' : negation(d['c_0011_2']), 'c_1001_1' : negation(d['c_0011_0']), 'c_1001_0' : d['c_0011_5'], 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : negation(d['c_0101_4']), 'c_1001_9' : d['c_0011_0'], 'c_1001_8' : d['c_0101_10'], 'c_1010_10' : d['c_0011_10'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_10' : d['c_0101_10'], '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_2_6' : d['1'], 's_2_7' : d['1'], 's_2_10' : 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_1100_9' : d['c_0011_2'], 'c_1100_8' : d['c_0011_10'], 'c_1100_5' : negation(d['c_0011_5']), 'c_1100_4' : d['c_0011_3'], 'c_1100_7' : negation(d['c_0110_5']), 'c_1100_6' : negation(d['c_0011_3']), 'c_1100_1' : negation(d['c_0011_5']), 'c_1100_0' : d['c_0011_10'], 'c_1100_3' : d['c_0011_10'], 'c_1100_2' : d['c_0011_10'], 'c_1100_10' : negation(d['c_0011_10']), 'c_1010_7' : negation(d['c_0101_4']), 'c_1010_6' : negation(d['c_0101_1']), 'c_1010_5' : negation(d['c_0110_5']), 'c_1010_4' : negation(d['c_0011_0']), 'c_1010_3' : negation(d['c_0101_10']), 'c_1010_2' : d['c_0011_5'], 'c_1010_1' : d['c_0110_5'], 'c_1010_0' : d['c_0101_1'], 'c_1010_9' : d['c_0011_2'], 'c_1010_8' : negation(d['c_0101_4']), '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'], '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' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_3']), 'c_0011_8' : negation(d['c_0011_10']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_2']), 'c_0011_6' : negation(d['c_0011_2']), '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' : d['c_0011_2'], 'c_0110_10' : d['c_0101_8'], 'c_0101_7' : d['c_0101_0'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_10'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_4'], 'c_0101_8' : d['c_0101_8'], 'c_0011_10' : d['c_0011_10'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_1'], '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_4'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : negation(d['c_0011_2']), 'c_0110_7' : d['c_0011_3'], 'c_0110_6' : d['c_0101_10']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_2, c_0011_3, c_0011_5, c_0101_0, c_0101_1, c_0101_10, c_0101_4, c_0101_8, c_0110_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 38 Groebner basis: [ t + 2248193194889468367623275978/9732514046672645484165*c_0110_5^37 + 67434666900670000980832757/926906099683109093730*c_0110_5^36 - 104273080796104567139907025321/19465028093345290968330*c_0110_5^35 - 27266295404634244309275261013/19465028093345290968330*c_0110_5^34 + 8048432066322373850290160511/144185393284039192358*c_0110_5^33 + 113484861201711132158790880501/9732514046672645484165*c_0110_5^32 - 1118893631779463175622585279441/3244171348890881828055*c_0110_5^31 - 21703859691369573532180963711/397245471292761040170*c_0110_5^30 + 13669724396021060845394094700024/9732514046672645484165*c_0110_5^29 + 1528752296641543370743927061654/9732514046672645484165*c_0110_5^2\ 8 - 77160770171161180602306085546393/19465028093345290968330*c_0110\ _5^27 - 789036049900692217410527881901/2780718299049327281190*c_011\ 0_5^26 + 51463844459445463151830480788373/6488342697781763656110*c_\ 0110_5^25 + 449734047210365497979402334371/1390359149524663640595*c\ _0110_5^24 - 2438852191313346046298558347097/216278089926058788537*\ c_0110_5^23 - 5125183460180183670490226589061/194650280933452909683\ 30*c_0110_5^22 + 15429269369286451273199366190727/13903591495246636\ 40595*c_0110_5^21 + 5441669102898358702248698741407/194650280933452\ 90968330*c_0110_5^20 - 66385586396469390149439163906742/97325140466\ 72645484165*c_0110_5^19 - 615568795652915336085201485366/1390359149\ 524663640595*c_0110_5^18 + 13663377879541028617367568903868/9732514\ 046672645484165*c_0110_5^17 + 1046082598740479901955464611237/19465\ 02809334529096833*c_0110_5^16 + 31944351190392681244005278371511/19\ 465028093345290968330*c_0110_5^15 - 7197288521487204636746652664303/19465028093345290968330*c_0110_5^14 - 120784551351665629723133791999/72092696642019596179*c_0110_5^13 + 1280131886743169267246331702587/19465028093345290968330*c_0110_5^12 + 1870944683881592974459654966364/3244171348890881828055*c_0110_5^1\ 1 + 181379019329040099143565495256/1946502809334529096833*c_0110_5^\ 10 + 195230428277842059882722564893/2780718299049327281190*c_0110_5\ ^9 - 165529972474694602266720131027/2162780899260587885370*c_0110_5\ ^8 - 83579819530553443442585652843/720926966420195961790*c_0110_5^7 + 9050097503191746753240453761/748654926667126575705*c_0110_5^6 + 26755296202839814178481450493/1024475162807646893070*c_0110_5^5 + 132478568711330452812006468301/19465028093345290968330*c_0110_5^4 + 16438440827985897769668961513/3893005618669058193666*c_0110_5^3 - 5688443485139040380536545584/1946502809334529096833*c_0110_5^2 - 11420783522688345058599015142/9732514046672645484165*c_0110_5 - 6418105744729147890308071319/19465028093345290968330, c_0011_0 - 1, c_0011_10 + c_0110_5^9 - 6*c_0110_5^7 + 11*c_0110_5^5 - 6*c_0110_5^3 + c_0110_5, c_0011_2 + c_0110_5^35 - 22*c_0110_5^33 + 216*c_0110_5^31 - 1248*c_0110_5^29 + 4713*c_0110_5^27 - 12222*c_0110_5^25 + 22236*c_0110_5^23 - 28348*c_0110_5^21 + 24379*c_0110_5^19 - 12074*c_0110_5^17 + 328*c_0110_5^15 + 4212*c_0110_5^13 - 2866*c_0110_5^11 + 564*c_0110_5^9 + 256*c_0110_5^7 - 148*c_0110_5^5 + 9*c_0110_5^3 + 6*c_0110_5, c_0011_3 - c_0110_5^34 + 21*c_0110_5^32 - 196*c_0110_5^30 + 1071*c_0110_5^28 - 3801*c_0110_5^26 + 9193*c_0110_5^24 - 15458*c_0110_5^22 + 18008*c_0110_5^20 - 13883*c_0110_5^18 + 5773*c_0110_5^16 + 558*c_0110_5^14 - 2300*c_0110_5^12 + 1274*c_0110_5^10 - 184*c_0110_5^8 - 106*c_0110_5^6 + 48*c_0110_5^4 - 3*c_0110_5^2 - 1, c_0011_5 + c_0110_5^3 - 2*c_0110_5, c_0101_0 - c_0110_5^5 + 4*c_0110_5^3 - 3*c_0110_5, c_0101_1 - c_0110_5^4 + 3*c_0110_5^2 - 1, c_0101_10 + c_0110_5^29 - 18*c_0110_5^27 + 141*c_0110_5^25 - 630*c_0110_5^23 + 1770*c_0110_5^21 - 3254*c_0110_5^19 + 3941*c_0110_5^17 - 3026*c_0110_5^15 + 1194*c_0110_5^13 + 150*c_0110_5^11 - 432*c_0110_5^9 + 196*c_0110_5^7 - 14*c_0110_5^5 - 14*c_0110_5^3 + 3*c_0110_5, c_0101_4 + c_0110_5^36 - 21*c_0110_5^34 + 195*c_0110_5^32 - 1052*c_0110_5^30 + 3642*c_0110_5^28 - 8421*c_0110_5^26 + 13043*c_0110_5^24 - 12890*c_0110_5^22 + 6371*c_0110_5^20 + 1809*c_0110_5^18 - 5445*c_0110_5^16 + 3654*c_0110_5^14 - 566*c_0110_5^12 - 710*c_0110_5^10 + 440*c_0110_5^8 - 42*c_0110_5^6 - 39*c_0110_5^4 + 9*c_0110_5^2 + 1, c_0101_8 + c_0110_5^19 - 12*c_0110_5^17 + 58*c_0110_5^15 - 144*c_0110_5^13 + 195*c_0110_5^11 - 142*c_0110_5^9 + 46*c_0110_5^7 + 10*c_0110_5^5 - 11*c_0110_5^3 + 2*c_0110_5, c_0110_5^38 + c_0110_5^37 - 23*c_0110_5^36 - 22*c_0110_5^35 + 238*c_0110_5^34 + 217*c_0110_5^33 - 1463*c_0110_5^32 - 1268*c_0110_5^31 + 5942*c_0110_5^30 + 4890*c_0110_5^29 - 16776*c_0110_5^28 - 13134*c_0110_5^27 + 33686*c_0110_5^26 + 25265*c_0110_5^25 - 48169*c_0110_5^24 - 35126*c_0110_5^23 + 47609*c_0110_5^22 + 34719*c_0110_5^21 - 28941*c_0110_5^20 - 22570*c_0110_5^19 + 4820*c_0110_5^18 + 6629*c_0110_5^17 + 8771*c_0110_5^16 + 3326*c_0110_5^15 - 8432*c_0110_5^14 - 4778*c_0110_5^13 + 2722*c_0110_5^12 + 2156*c_0110_5^11 + 586*c_0110_5^10 - 124*c_0110_5^9 - 738*c_0110_5^8 - 298*c_0110_5^7 + 151*c_0110_5^6 + 109*c_0110_5^5 + 39*c_0110_5^4 - 14*c_0110_5^2 - 5*c_0110_5 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.360 Total time: 0.570 seconds, Total memory usage: 32.09MB