Magma V2.19-8 Wed Aug 21 2013 00:53:11 on localhost [Seed = 2766319933] Type ? for help. Type -D to quit. Loading file "L12n1359__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n1359 geometric_solution 12.14514173 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 0 1 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 -1 0 1 0 0 1 -1 0 0 0 0 5 0 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.335384975242 0.697412899733 0 2 6 5 0132 2310 0132 0132 0 0 0 1 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 -6 1 5 0 0 0 0 -5 5 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.331292649077 0.827527988629 5 0 3 1 0132 0132 3120 3201 1 0 0 1 0 0 0 0 0 0 1 -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 1 0 -1 0 0 5 -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 0.979369424844 1.068833453196 5 7 2 0 1302 0132 3120 0132 1 0 0 1 0 0 0 0 1 0 -1 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 6 0 -5 -1 -5 0 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.439968293478 1.164552276397 8 9 0 5 0132 0132 0132 2103 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 0 0 0 0 0 1 -1 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 0.213463414936 0.904853277118 2 3 1 4 0132 2031 0132 2103 0 0 1 0 0 1 -1 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 5 -5 0 0 0 0 0 0 0 0 0 6 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.331292649077 0.827527988629 10 7 8 1 0132 3201 3120 0132 0 0 1 1 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 1 -1 0 0 0 0 -1 0 0 1 -5 6 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.416952447621 1.041495551729 9 3 6 11 2103 0132 2310 0132 1 1 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 0 0 0 0 0 0 0 0 6 0 -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 -0.206960510637 0.895744886960 4 12 6 12 0132 0132 3120 0213 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 1 -1 1 0 0 -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 0.383143230582 0.969979189940 10 4 7 11 3201 0132 2103 3201 1 1 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 0 0 0 0 0 -1 0 1 5 0 -6 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 0.443668993204 0.517975644375 6 11 12 9 0132 2310 3201 2310 1 0 1 1 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 5 0 0 -5 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.175800130928 1.439331665647 12 9 7 10 2310 2310 0132 3201 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 1 -1 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.445614230305 0.498538845104 10 8 11 8 2310 0132 3201 0213 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 0 0 0 0 0 0 0 0 -1 1 1 0 -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 0 0.383143230582 0.969979189940 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_11'], 'c_1001_10' : negation(d['c_0101_12']), 'c_1001_12' : negation(d['c_0011_11']), 'c_1001_5' : negation(d['c_0101_0']), 'c_1001_4' : negation(d['c_1001_11']), 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : d['c_0101_6'], 'c_1001_1' : negation(d['c_1001_0']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_11'], 'c_1001_2' : negation(d['c_1001_11']), 'c_1001_9' : negation(d['c_0011_3']), 'c_1001_8' : negation(d['c_0101_6']), 'c_1010_12' : negation(d['c_0101_6']), 'c_1010_11' : d['c_0101_12'], 'c_1010_10' : d['c_0101_12'], 's_0_10' : 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_11'], 'c_0101_10' : d['c_0101_1'], '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' : d['c_0011_11'], 'c_1100_8' : negation(d['c_0101_6']), 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0101_8']), 'c_1100_4' : negation(d['c_0101_2']), 'c_1100_7' : negation(d['c_0011_10']), 'c_1100_6' : negation(d['c_0101_8']), 'c_1100_1' : negation(d['c_0101_8']), 'c_1100_0' : negation(d['c_0101_2']), 'c_1100_3' : negation(d['c_0101_2']), 'c_1100_2' : d['c_0011_0'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0011_10']), 'c_1100_10' : negation(d['c_0011_12']), 's_3_10' : d['1'], 'c_1010_7' : d['c_1001_11'], 'c_1010_6' : negation(d['c_1001_0']), 'c_1010_5' : d['c_0011_3'], 'c_1010_4' : negation(d['c_0011_3']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0101_0']), 'c_1010_0' : negation(d['c_1001_11']), 'c_1010_9' : negation(d['c_1001_11']), 'c_1010_8' : negation(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' : negation(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_12']), 'c_0011_8' : negation(d['c_0011_12']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_12'], 'c_0011_7' : negation(d['c_0011_3']), '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_0101_12']), 'c_0110_10' : d['c_0101_6'], 'c_0110_12' : negation(d['c_0101_1']), 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : negation(d['c_0101_6']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_0']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0101_6']), 'c_0101_8' : d['c_0101_8'], '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_12']), 'c_0110_8' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0011_11']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_8'], 'c_0110_7' : d['c_0011_11'], 'c_0110_6' : d['c_0101_1'], '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_0101_0, c_0101_1, c_0101_12, c_0101_2, c_0101_6, c_0101_8, c_1001_0, c_1001_11 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t - 660886361415109291028/55082555194363525*c_1001_11^14 + 1037276338689627336292/55082555194363525*c_1001_11^13 + 8608292983514498512461/110165110388727050*c_1001_11^12 + 9897996723313353379647/220330220777454100*c_1001_11^11 - 81548021924106056880189/3525283532439265600*c_1001_11^10 - 42264784830340606547681/705056706487853120*c_1001_11^9 - 219112951410221813126453/1762641766219632800*c_1001_11^8 - 520877284400208525029647/3525283532439265600*c_1001_11^7 - 360476656930320309266663/3525283532439265600*c_1001_11^6 - 160816528166147185460741/1762641766219632800*c_1001_11^5 - 59827199818921830723667/705056706487853120*c_1001_11^4 - 32107715771547765225689/705056706487853120*c_1001_11^3 - 103587206273192762830893/3525283532439265600*c_1001_11^2 - 84463752810072461077421/3525283532439265600*c_1001_11 - 26940238433075713185707/3525283532439265600, c_0011_0 - 1, c_0011_10 - 1841998607734736384/2203302207774541*c_1001_11^14 - 4941863437947887104/2203302207774541*c_1001_11^13 - 3453201638953214528/2203302207774541*c_1001_11^12 + 1906583557690125984/2203302207774541*c_1001_11^11 + 6164457891499923402/2203302207774541*c_1001_11^10 + 10307772596509188270/2203302207774541*c_1001_11^9 + 12427886018415340003/2203302207774541*c_1001_11^8 + 10169288523406447688/2203302207774541*c_1001_11^7 + 8175630579877586182/2203302207774541*c_1001_11^6 + 7198227441971727103/2203302207774541*c_1001_11^5 + 4684427734717133244/2203302207774541*c_1001_11^4 + 2756420857205269919/2203302207774541*c_1001_11^3 + 1999498308380199124/2203302207774541*c_1001_11^2 + 902447723621184242/2203302207774541*c_1001_11 + 123916842153588159/2203302207774541, c_0011_11 + 5590718709582060800/2203302207774541*c_1001_11^14 + 12419460705119257600/2203302207774541*c_1001_11^13 + 6494038860765055584/2203302207774541*c_1001_11^12 - 5969318846943974160/2203302207774541*c_1001_11^11 - 15771193973832066971/2203302207774541*c_1001_11^10 - 26061930277226525334/2203302207774541*c_1001_11^9 - 29285420525815801777/2203302207774541*c_1001_11^8 - 23195913242655172586/2203302207774541*c_1001_11^7 - 19519546505218378055/2203302207774541*c_1001_11^6 - 16556970669344000435/2203302207774541*c_1001_11^5 - 10282705580921559671/2203302207774541*c_1001_11^4 - 6427035602147311353/2203302207774541*c_1001_11^3 - 4471285694096642219/2203302207774541*c_1001_11^2 - 1792007053904315964/2203302207774541*c_1001_11 - 230091651328728443/2203302207774541, c_0011_12 + 1348031374441088768/2203302207774541*c_1001_11^14 + 2766272437499706880/2203302207774541*c_1001_11^13 + 1248783426291073568/2203302207774541*c_1001_11^12 - 1444221027032179312/2203302207774541*c_1001_11^11 - 3562265042063800097/2203302207774541*c_1001_11^10 - 5843886249280381872/2203302207774541*c_1001_11^9 - 6359013081272555486/2203302207774541*c_1001_11^8 - 4970323238662902270/2203302207774541*c_1001_11^7 - 4263090865620793625/2203302207774541*c_1001_11^6 - 3547311386341735393/2203302207774541*c_1001_11^5 - 2161773868433063053/2203302207774541*c_1001_11^4 - 1384696807721607901/2203302207774541*c_1001_11^3 - 945698286764071385/2203302207774541*c_1001_11^2 - 356721827353209950/2203302207774541*c_1001_11 - 41813142488221145/2203302207774541, c_0011_3 - 71163403579937792/2203302207774541*c_1001_11^14 - 144534572808798464/2203302207774541*c_1001_11^13 - 69847787236372352/2203302207774541*c_1001_11^12 + 70602597342288224/2203302207774541*c_1001_11^11 + 188444941927674652/2203302207774541*c_1001_11^10 + 312241736150675711/2203302207774541*c_1001_11^9 + 339767525389388564/2203302207774541*c_1001_11^8 + 272573237448299136/2203302207774541*c_1001_11^7 + 232321960176037117/2203302207774541*c_1001_11^6 + 191386169053030383/2203302207774541*c_1001_11^5 + 118780172813504227/2203302207774541*c_1001_11^4 + 78704749226296508/2203302207774541*c_1001_11^3 + 49208626051532619/2203302207774541*c_1001_11^2 + 20333569482905231/2203302207774541*c_1001_11 + 4397354977072333/2203302207774541, c_0101_0 - 1, c_0101_1 - 71163403579937792/2203302207774541*c_1001_11^14 - 144534572808798464/2203302207774541*c_1001_11^13 - 69847787236372352/2203302207774541*c_1001_11^12 + 70602597342288224/2203302207774541*c_1001_11^11 + 188444941927674652/2203302207774541*c_1001_11^10 + 312241736150675711/2203302207774541*c_1001_11^9 + 339767525389388564/2203302207774541*c_1001_11^8 + 272573237448299136/2203302207774541*c_1001_11^7 + 232321960176037117/2203302207774541*c_1001_11^6 + 191386169053030383/2203302207774541*c_1001_11^5 + 118780172813504227/2203302207774541*c_1001_11^4 + 78704749226296508/2203302207774541*c_1001_11^3 + 49208626051532619/2203302207774541*c_1001_11^2 + 20333569482905231/2203302207774541*c_1001_11 + 4397354977072333/2203302207774541, c_0101_12 + 4077951834826877184/2203302207774541*c_1001_11^14 + 9948345321613523200/2203302207774541*c_1001_11^13 + 5950128731785936096/2203302207774541*c_1001_11^12 - 4391208157431294576/2203302207774541*c_1001_11^11 - 12433105699568560127/2203302207774541*c_1001_11^10 - 20704648484021993489/2203302207774541*c_1001_11^9 - 24042550926259745939/2203302207774541*c_1001_11^8 - 19242383286382063992/2203302207774541*c_1001_11^7 - 15882575073552458107/2203302207774541*c_1001_11^6 - 13745221231773083519/2203302207774541*c_1001_11^5 - 8676231604398549181/2203302207774541*c_1001_11^4 - 5283447256964441229/2203302207774541*c_1001_11^3 - 3761687484159191645/2203302207774541*c_1001_11^2 - 1580321443347941699/2203302207774541*c_1001_11 - 208665737352801679/2203302207774541, c_0101_2 - 953714962408448/2203302207774541*c_1001_11^14 - 5068910536148224/2203302207774541*c_1001_11^13 - 12529505269773952/2203302207774541*c_1001_11^12 - 12409506509870880/2203302207774541*c_1001_11^11 + 2617621858283436/2203302207774541*c_1001_11^10 + 20463378198296139/2203302207774541*c_1001_11^9 + 31640841021113587/2203302207774541*c_1001_11^8 + 38321707070152868/2203302207774541*c_1001_11^7 + 36190674783095437/2203302207774541*c_1001_11^6 + 27133091178491596/2203302207774541*c_1001_11^5 + 21374146107712738/2203302207774541*c_1001_11^4 + 17846851553544015/2203302207774541*c_1001_11^3 + 9708782331910583/2203302207774541*c_1001_11^2 + 3994869051666314/2203302207774541*c_1001_11 + 2506890732360671/2203302207774541, c_0101_6 + 5198421836427938560/2203302207774541*c_1001_11^14 + 11874118633325253888/2203302207774541*c_1001_11^13 + 6301037045679898784/2203302207774541*c_1001_11^12 - 5690568621635669648/2203302207774541*c_1001_11^11 - 14918553974364283085/2203302207774541*c_1001_11^10 - 24725771798527331577/2203302207774541*c_1001_11^9 - 27953612177622844953/2203302207774541*c_1001_11^8 - 22040879573747630215/2203302207774541*c_1001_11^7 - 18518079612503097783/2203302207774541*c_1001_11^6 - 15814842147754128107/2203302207774541*c_1001_11^5 - 9772371563829048881/2203302207774541*c_1001_11^4 - 6095302644571089822/2203302207774541*c_1001_11^3 - 4281409420796277723/2203302207774541*c_1001_11^2 - 1701792373507174689/2203302207774541*c_1001_11 - 214347901898048910/2203302207774541, c_0101_8 + 72117118542346240/2203302207774541*c_1001_11^14 + 149603483344946688/2203302207774541*c_1001_11^13 + 82377292506146304/2203302207774541*c_1001_11^12 - 58193090832417344/2203302207774541*c_1001_11^11 - 191062563785958088/2203302207774541*c_1001_11^10 - 332705114348971850/2203302207774541*c_1001_11^9 - 371408366410502151/2203302207774541*c_1001_11^8 - 310894944518452004/2203302207774541*c_1001_11^7 - 268512634959132554/2203302207774541*c_1001_11^6 - 218519260231521979/2203302207774541*c_1001_11^5 - 140154318921216965/2203302207774541*c_1001_11^4 - 96551600779840523/2203302207774541*c_1001_11^3 - 58917408383443202/2203302207774541*c_1001_11^2 - 24328438534571545/2203302207774541*c_1001_11 - 6904245709433004/2203302207774541, c_1001_0 + 953714962408448/2203302207774541*c_1001_11^14 + 5068910536148224/2203302207774541*c_1001_11^13 + 12529505269773952/2203302207774541*c_1001_11^12 + 12409506509870880/2203302207774541*c_1001_11^11 - 2617621858283436/2203302207774541*c_1001_11^10 - 20463378198296139/2203302207774541*c_1001_11^9 - 31640841021113587/2203302207774541*c_1001_11^8 - 38321707070152868/2203302207774541*c_1001_11^7 - 36190674783095437/2203302207774541*c_1001_11^6 - 27133091178491596/2203302207774541*c_1001_11^5 - 21374146107712738/2203302207774541*c_1001_11^4 - 17846851553544015/2203302207774541*c_1001_11^3 - 9708782331910583/2203302207774541*c_1001_11^2 - 3994869051666314/2203302207774541*c_1001_11 - 2506890732360671/2203302207774541, c_1001_11^15 + 3*c_1001_11^14 + 23/8*c_1001_11^13 - 3/16*c_1001_11^12 - 935/256*c_1001_11^11 - 1751/256*c_1001_11^10 - 1131/128*c_1001_11^9 - 2093/256*c_1001_11^8 - 1709/256*c_1001_11^7 - 723/128*c_1001_11^6 - 1053/256*c_1001_11^5 - 655/256*c_1001_11^4 - 431/256*c_1001_11^3 - 239/256*c_1001_11^2 - 73/256*c_1001_11 - 1/32 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.170 Total time: 0.380 seconds, Total memory usage: 32.09MB