Magma V2.19-8 Wed Aug 21 2013 01:02:18 on localhost [Seed = 947790832] Type ? for help. Type -D to quit. Loading file "L14n14265__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n14265 geometric_solution 12.47186752 oriented_manifold CS_known 0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 0 1 1 0 0 0 1 -1 0 0 0 0 0 0 0 0 2 -2 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 1 -1 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.486907671998 0.535451843415 0 5 3 4 0132 0132 0321 2103 0 1 0 1 0 0 -1 1 0 0 0 0 -2 0 0 2 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 -1 0 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.296371416603 1.460185489027 6 0 8 7 0132 0132 0132 0132 0 1 0 1 0 0 0 0 1 0 0 -1 -1 2 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 1 -6 0 1 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.600489892698 1.474443502211 5 9 1 0 3201 0132 0321 0132 0 1 0 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 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.932941935355 0.973597638909 5 6 0 1 0132 0132 0132 2103 0 1 0 1 0 1 1 -2 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 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 0.619717637650 0.709350492984 4 1 10 3 0132 0132 0132 2310 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 0 0 0 0 0.301512590742 0.799513129850 2 4 11 7 0132 0132 0132 3120 0 1 1 0 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 -1 0 1 -5 0 -1 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.486907671998 0.535451843415 6 9 2 12 3120 0213 0132 0132 0 1 1 0 0 0 0 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 -6 0 6 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 0.382455636805 0.703923336437 12 9 10 2 0132 3012 0321 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.432295489670 0.596476552045 8 3 7 10 1230 0132 0213 2310 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 1 0 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 0.127145922434 1.158300386044 9 11 8 5 3201 2103 0321 0132 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 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 0.102071511340 0.658443765671 12 10 12 6 3201 2103 0213 0132 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 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 0.434377156649 0.669504099241 8 11 7 11 0132 0213 0132 2310 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 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 0.434377156649 0.669504099241 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_10'], 'c_1001_10' : d['c_0011_11'], 'c_1001_12' : d['c_0011_10'], 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : negation(d['c_0011_7']), 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : negation(d['c_1001_5']), 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0101_5']), 'c_1001_2' : negation(d['c_0011_7']), 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : d['c_0011_3'], 'c_1010_12' : negation(d['c_0101_6']), 'c_1010_11' : negation(d['c_1001_5']), 'c_1010_10' : d['c_1001_5'], 's_3_11' : d['1'], 's_0_11' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 'c_0101_12' : d['c_0101_12'], 'c_0101_11' : d['c_0011_12'], 'c_0101_10' : d['c_0011_12'], '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_1100_9' : d['c_0011_10'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : negation(d['c_0101_0']), 'c_1100_7' : d['c_0011_11'], 'c_1100_6' : negation(d['c_0101_6']), 'c_1100_1' : negation(d['c_0101_5']), 'c_1100_0' : negation(d['c_0101_0']), 'c_1100_3' : negation(d['c_0101_0']), 'c_1100_2' : d['c_0011_11'], 's_0_10' : d['1'], 'c_1100_11' : negation(d['c_0101_6']), 'c_1100_10' : d['c_0011_3'], 's_3_10' : d['1'], 'c_1010_7' : d['c_0011_10'], 'c_1010_6' : negation(d['c_0011_7']), 'c_1010_5' : negation(d['c_0101_0']), 'c_1010_4' : negation(d['c_1001_5']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_5'], 'c_1010_0' : negation(d['c_0011_7']), 'c_1010_9' : negation(d['c_0101_5']), 'c_1010_8' : negation(d['c_0011_7']), 'c_1100_8' : d['c_0011_11'], '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_0011_11'], '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' : negation(d['c_0011_3']), 'c_0011_8' : negation(d['c_0011_12']), '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' : d['c_0011_0'], '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_6'], 'c_0110_10' : d['c_0101_5'], 'c_0110_12' : negation(d['c_0011_12']), 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_6'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0101_1']), 'c_0101_2' : d['c_0101_12'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_7'], 'c_0101_8' : negation(d['c_0011_12']), 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_12']), 'c_0110_8' : d['c_0101_12'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_5'], 'c_0110_7' : d['c_0101_12'], 'c_0110_6' : d['c_0101_12'], 's_2_9' : d['1']})} 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_7, c_0101_0, c_0101_1, c_0101_12, c_0101_5, c_0101_6, c_1001_0, c_1001_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t + 1746*c_1001_5^3 + 1512*c_1001_5^2 + 1215*c_1001_5 + 1183/3, c_0011_0 - 1, c_0011_10 - 3*c_1001_5 - 1, c_0011_11 + 9*c_1001_5^3 + 6*c_1001_5^2 + 3*c_1001_5 + 1, c_0011_12 + 18*c_1001_5^3 + 15*c_1001_5^2 + 11*c_1001_5 + 3, c_0011_3 - 1, c_0011_7 + 9*c_1001_5^3 + 9*c_1001_5^2 + 8*c_1001_5 + 2, c_0101_0 - 9*c_1001_5^3 - 9*c_1001_5^2 - 8*c_1001_5 - 3, c_0101_1 - 1, c_0101_12 + 18*c_1001_5^3 + 15*c_1001_5^2 + 11*c_1001_5 + 4, c_0101_5 - 9*c_1001_5^3 - 9*c_1001_5^2 - 8*c_1001_5 - 2, c_0101_6 + 3*c_1001_5^2 + 2*c_1001_5 + 1, c_1001_0 - 9*c_1001_5^3 - 9*c_1001_5^2 - 7*c_1001_5 - 2, c_1001_5^4 + 4/3*c_1001_5^3 + 10/9*c_1001_5^2 + 5/9*c_1001_5 + 1/9 ], 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_7, c_0101_0, c_0101_1, c_0101_12, c_0101_5, c_0101_6, c_1001_0, c_1001_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t - 1381310447564190139388957/2681563058220171716864*c_1001_5^14 - 1205180215625429075562553/1340781529110085858432*c_1001_5^13 - 33565861729464376216891305/2681563058220171716864*c_1001_5^12 - 19480505591618680569595701/2681563058220171716864*c_1001_5^11 - 11741848475957211382648721/206274081401551670528*c_1001_5^10 + 88873177776987181091058411/1340781529110085858432*c_1001_5^9 + 420163531026542343616222/10474855696172545769*c_1001_5^8 + 90852849915072392540058117/206274081401551670528*c_1001_5^7 - 2421428173307051822830141005/1340781529110085858432*c_1001_5^6 + 225936452554483681221334785/83798845569380366152*c_1001_5^5 - 460290657063656430482427967/206274081401551670528*c_1001_5^4 + 3330918243989805307857276819/2681563058220171716864*c_1001_5^3 - 1555461100046331182080762619/2681563058220171716864*c_1001_5^2 + 149310506195959571708634527/670390764555042929216*c_1001_5 - 1855989045348409055247043/41899422784690183076, c_0011_0 - 1, c_0011_10 - 785967621642307641/6446065043798489704*c_1001_5^14 - 934814777811227629/6446065043798489704*c_1001_5^13 - 18186976399868403383/6446065043798489704*c_1001_5^12 - 24746516977930799/805758130474811213*c_1001_5^11 - 9631766730025691722/805758130474811213*c_1001_5^10 + 151772767046543655991/6446065043798489704*c_1001_5^9 + 10561540567805401603/3223032521899244852*c_1001_5^8 + 619613319609317434413/6446065043798489704*c_1001_5^7 - 3144816687662604507003/6446065043798489704*c_1001_5^6 + 394237477057381428665/460433217414177836*c_1001_5^5 - 5167832001840879860431/6446065043798489704*c_1001_5^4 + 219673863115734298911/460433217414177836*c_1001_5^3 - 723310755769525252591/3223032521899244852*c_1001_5^2 + 602095808223310645659/6446065043798489704*c_1001_5 - 17875101620307172596/805758130474811213, c_0011_11 + 311757256045614843/3223032521899244852*c_1001_5^14 + 1020639022056724695/6446065043798489704*c_1001_5^13 + 1867278598541037065/805758130474811213*c_1001_5^12 + 6966630040076021709/6446065043798489704*c_1001_5^11 + 65657109564389511989/6446065043798489704*c_1001_5^10 - 89331661919809534109/6446065043798489704*c_1001_5^9 - 24383144650758695199/3223032521899244852*c_1001_5^8 - 256845408127829186767/3223032521899244852*c_1001_5^7 + 2266901672047631196413/6446065043798489704*c_1001_5^6 - 1703113495303939603387/3223032521899244852*c_1001_5^5 + 1367196461526078057909/3223032521899244852*c_1001_5^4 - 1448089669268583724445/6446065043798489704*c_1001_5^3 + 672664178561114154449/6446065043798489704*c_1001_5^2 - 259422401824017034735/6446065043798489704*c_1001_5 + 5757689816347808916/805758130474811213, c_0011_12 - 542564295852313603/12892130087596979408*c_1001_5^14 - 64620026914544675/1841732869656711344*c_1001_5^13 - 12054423624202970673/12892130087596979408*c_1001_5^12 + 2463885552809156225/6446065043798489704*c_1001_5^11 - 23132155832065670683/6446065043798489704*c_1001_5^10 + 130813696450567263215/12892130087596979408*c_1001_5^9 + 5604217650629866767/6446065043798489704*c_1001_5^8 + 405438374432691988839/12892130087596979408*c_1001_5^7 - 2346968867505871422643/12892130087596979408*c_1001_5^6 + 2173558845453874753251/6446065043798489704*c_1001_5^5 - 4079006206566476062901/12892130087596979408*c_1001_5^4 + 587554926457421601341/3223032521899244852*c_1001_5^3 - 132298653991719297307/1611516260949622426*c_1001_5^2 + 454056565568970061119/12892130087596979408*c_1001_5 - 1999206147269676313/230216608707088918, c_0011_3 - 3054552764435085/3223032521899244852*c_1001_5^14 + 1257678695000422/805758130474811213*c_1001_5^13 - 60815960246599725/3223032521899244852*c_1001_5^12 + 199798695825308929/3223032521899244852*c_1001_5^11 - 303676893315747099/3223032521899244852*c_1001_5^10 + 365003044580372157/805758130474811213*c_1001_5^9 - 389487831186027461/805758130474811213*c_1001_5^8 + 2397583563792373041/3223032521899244852*c_1001_5^7 - 4700630527068230247/805758130474811213*c_1001_5^6 + 14064457274630918224/805758130474811213*c_1001_5^5 - 83420844047013196835/3223032521899244852*c_1001_5^4 + 72269746302930379397/3223032521899244852*c_1001_5^3 - 36575922145296045081/3223032521899244852*c_1001_5^2 + 7691015301127738245/1611516260949622426*c_1001_5 - 1129455630587562037/805758130474811213, c_0011_7 + 3054552764435085/3223032521899244852*c_1001_5^14 - 1257678695000422/805758130474811213*c_1001_5^13 + 60815960246599725/3223032521899244852*c_1001_5^12 - 199798695825308929/3223032521899244852*c_1001_5^11 + 303676893315747099/3223032521899244852*c_1001_5^10 - 365003044580372157/805758130474811213*c_1001_5^9 + 389487831186027461/805758130474811213*c_1001_5^8 - 2397583563792373041/3223032521899244852*c_1001_5^7 + 4700630527068230247/805758130474811213*c_1001_5^6 - 14064457274630918224/805758130474811213*c_1001_5^5 + 83420844047013196835/3223032521899244852*c_1001_5^4 - 72269746302930379397/3223032521899244852*c_1001_5^3 + 36575922145296045081/3223032521899244852*c_1001_5^2 - 7691015301127738245/1611516260949622426*c_1001_5 + 1129455630587562037/805758130474811213, c_0101_0 + 3054552764435085/3223032521899244852*c_1001_5^14 - 1257678695000422/805758130474811213*c_1001_5^13 + 60815960246599725/3223032521899244852*c_1001_5^12 - 199798695825308929/3223032521899244852*c_1001_5^11 + 303676893315747099/3223032521899244852*c_1001_5^10 - 365003044580372157/805758130474811213*c_1001_5^9 + 389487831186027461/805758130474811213*c_1001_5^8 - 2397583563792373041/3223032521899244852*c_1001_5^7 + 4700630527068230247/805758130474811213*c_1001_5^6 - 14064457274630918224/805758130474811213*c_1001_5^5 + 83420844047013196835/3223032521899244852*c_1001_5^4 - 72269746302930379397/3223032521899244852*c_1001_5^3 + 36575922145296045081/3223032521899244852*c_1001_5^2 - 6079499040178115819/1611516260949622426*c_1001_5 + 1129455630587562037/805758130474811213, c_0101_1 - 1, c_0101_12 + 3500154827585579525/12892130087596979408*c_1001_5^14 + 6788467734893455829/12892130087596979408*c_1001_5^13 + 86760499212582301355/12892130087596979408*c_1001_5^12 + 16782009997032166359/3223032521899244852*c_1001_5^11 + 102408945909729863723/3223032521899244852*c_1001_5^10 - 360127753100801407735/12892130087596979408*c_1001_5^9 - 148439944823961999343/6446065043798489704*c_1001_5^8 - 3080707091975035150017/12892130087596979408*c_1001_5^7 + 11606557062632854964491/12892130087596979408*c_1001_5^6 - 1174528044363519281525/920866434828355672*c_1001_5^5 + 13108372785140913867123/12892130087596979408*c_1001_5^4 - 511869368484772122265/920866434828355672*c_1001_5^3 + 1665918235708378041533/6446065043798489704*c_1001_5^2 - 1239257405672987610331/12892130087596979408*c_1001_5 + 13694400059938477592/805758130474811213, c_0101_5 - 1, c_0101_6 - 2229409241950898755/6446065043798489704*c_1001_5^14 - 70895326560789655/115108304353544459*c_1001_5^13 - 54255454081047194411/6446065043798489704*c_1001_5^12 - 33134253963363713141/6446065043798489704*c_1001_5^11 - 245619153631408273733/6446065043798489704*c_1001_5^10 + 35369014392776479298/805758130474811213*c_1001_5^9 + 49410204040815656009/1611516260949622426*c_1001_5^8 + 1928974776316542413183/6446065043798489704*c_1001_5^7 - 1935734390893027718167/1611516260949622426*c_1001_5^6 + 2832247041758958097383/1611516260949622426*c_1001_5^5 - 9181183930047047684421/6446065043798489704*c_1001_5^4 + 5038095960318180140655/6446065043798489704*c_1001_5^3 - 2339839816108443752879/6446065043798489704*c_1001_5^2 + 446804922694256741719/3223032521899244852*c_1001_5 - 3068773629728316114/115108304353544459, c_1001_0 + 5569910154435929/1611516260949622426*c_1001_5^14 + 2204019277702771/1611516260949622426*c_1001_5^13 + 124198222507084157/1611516260949622426*c_1001_5^12 - 49505078174386882/805758130474811213*c_1001_5^11 + 279794609585358198/805758130474811213*c_1001_5^10 - 1481490776652883471/1611516260949622426*c_1001_5^9 + 380264083820430035/805758130474811213*c_1001_5^8 - 4272546784505368437/1611516260949622426*c_1001_5^7 + 25547165108519458487/1611516260949622426*c_1001_5^6 - 28634162335367921274/805758130474811213*c_1001_5^5 + 69234510932029283501/1611516260949622426*c_1001_5^4 - 24980066317636776527/805758130474811213*c_1001_5^3 + 11213145915513820921/805758130474811213*c_1001_5^2 - 9326797798358104979/1611516260949622426*c_1001_5 + 1886340916831411890/805758130474811213, c_1001_5^15 + c_1001_5^14 + 23*c_1001_5^13 - 4*c_1001_5^12 + 100*c_1001_5^11 - 211*c_1001_5^10 + 18*c_1001_5^9 - 797*c_1001_5^8 + 4143*c_1001_5^7 - 7846*c_1001_5^6 + 8231*c_1001_5^5 - 5638*c_1001_5^4 + 2922*c_1001_5^3 - 1271*c_1001_5^2 + 408*c_1001_5 - 64 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.200 Total time: 0.410 seconds, Total memory usage: 32.09MB