Magma V2.19-8 Wed Aug 21 2013 01:07:42 on localhost [Seed = 1141005658] Type ? for help. Type -D to quit. Loading file "L14n33725__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n33725 geometric_solution 12.03861075 oriented_manifold CS_known -0.0000000000000003 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 0 1 1 0 1 0 -1 0 0 -1 1 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 5 -1 -4 1 0 0 -1 4 -4 0 0 -5 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.004405642055 1.170929018710 0 5 7 6 0132 0132 0132 0132 1 0 1 1 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 0 0 0 -1 0 0 1 5 -5 0 0 -4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.143025086922 0.985257088508 5 0 8 7 0132 0132 0132 0321 1 0 1 1 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 -5 5 0 0 0 0 0 0 0 0 0 0 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.609015611028 0.918242035713 4 8 9 0 0132 2031 0132 0132 1 0 1 0 0 1 -1 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 4 -5 1 0 0 0 0 0 5 0 -5 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.104805486194 0.910304843856 3 10 0 6 0132 0132 0132 0213 1 0 0 1 0 -1 1 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 -4 4 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 0.071301925017 0.743927607682 2 1 11 12 0132 0132 0132 0132 1 0 1 1 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 1 -1 0 0 0 0 0 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.335280353809 0.702618118769 7 9 1 4 0132 0213 0132 0213 1 0 0 1 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 0 -1 1 -1 0 0 1 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.347150959329 0.825178701125 6 2 10 1 0132 0321 0321 0132 1 0 1 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 4 0 0 -4 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.426017409842 1.156738013283 3 12 11 2 1302 2103 2310 0132 1 0 1 1 0 0 1 -1 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 5 -5 0 0 0 0 -4 0 0 4 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.929851236183 0.743340747064 11 12 6 3 0132 3012 0213 0132 1 0 0 1 0 -1 0 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 -5 0 5 0 0 0 0 0 1 0 -1 0 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.832763058080 1.014100928286 11 4 7 12 2103 0132 0321 2103 1 0 1 0 0 1 0 -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 4 0 -4 -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 0.457279242002 0.533621263453 9 8 10 5 0132 3201 2103 0132 1 0 1 0 0 0 0 0 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 0 0 0 0 0 1 -1 0 -5 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.101171315646 0.746076351812 9 8 5 10 1230 2103 0132 2103 1 0 1 1 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 -1 0 1 0 -4 0 0 4 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.377512315091 1.529319104149 ==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_1001_10'], 'c_1001_12' : d['c_0011_8'], 'c_1001_5' : negation(d['c_0011_12']), 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_0011_11'], 'c_1001_6' : negation(d['c_0011_12']), 'c_1001_1' : d['c_0011_8'], 'c_1001_0' : d['c_0011_8'], 'c_1001_3' : negation(d['c_0101_12']), 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_0011_12']), 'c_1001_8' : d['c_0011_12'], 'c_1010_12' : negation(d['c_1001_2']), 'c_1010_11' : negation(d['c_0011_12']), 'c_1010_10' : d['c_1001_2'], '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_10'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : negation(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' : negation(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' : negation(d['1']), 's_0_1' : negation(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_0110_10']), 'c_1100_4' : d['c_1010_6'], 'c_1100_7' : d['c_1001_10'], 'c_1100_6' : d['c_1001_10'], 'c_1100_1' : d['c_1001_10'], 'c_1100_0' : d['c_1010_6'], 'c_1100_3' : d['c_1010_6'], 'c_1100_2' : d['c_0011_11'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0110_10']), 'c_1100_10' : d['c_0011_11'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0011_8'], 'c_1010_6' : d['c_1010_6'], 'c_1010_5' : d['c_0011_8'], 'c_1010_4' : d['c_1001_10'], 'c_1010_3' : d['c_0011_8'], 'c_1010_2' : d['c_0011_8'], 'c_1010_1' : negation(d['c_0011_12']), 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : negation(d['c_0101_12']), 'c_1010_8' : d['c_1001_2'], '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' : d['1'], 's_3_9' : d['1'], 's_3_8' : negation(d['1']), 'c_1100_12' : negation(d['c_0110_10']), 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : negation(d['1']), 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : negation(d['1']), 'c_0011_9' : negation(d['c_0011_11']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : negation(d['c_0011_6']), 'c_0110_6' : negation(d['c_0101_10']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_10'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0011_6'], 'c_0110_10' : d['c_0110_10'], 'c_0110_12' : negation(d['c_0011_11']), 'c_0101_12' : d['c_0101_12'], 'c_0110_0' : d['c_0101_0'], 'c_0011_6' : d['c_0011_6'], 'c_0101_7' : negation(d['c_0101_10']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0011_6'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_10'], 'c_0101_2' : d['c_0101_12'], 'c_0101_1' : d['c_0101_0'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_6'], 'c_0101_8' : negation(d['c_0011_10']), 's_1_12' : negation(d['1']), 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_10'], 'c_0110_8' : d['c_0101_12'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_1010_6'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_6'], 'c_0110_5' : d['c_0101_12'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_0'], 'c_1100_8' : d['c_0011_11']})} 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_6, c_0011_8, c_0101_0, c_0101_10, c_0101_12, c_0110_10, c_1001_10, c_1001_2, c_1010_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t - 132232440704404759994411364/1291615949152786417853825*c_1010_6^15 - 90567194700513426409102433/103329275932222913428306*c_1010_6^14 - 1150336130130908505443233401/5166463796611145671415300*c_1010_6^13 + 6022144688094432276760611432/1291615949152786417853825*c_1010_6^12 - 5595554053008247017876667973/1033292759322229134283060*c_1010_6^11 + 52422209312453489235133214389/5166463796611145671415300*c_1010_6^10 - 48828822885864021515533974719/5166463796611145671415300*c_1010_6^\ 9 + 22397503689337298272909560421/5166463796611145671415300*c_1010_\ 6^8 - 107680872236635017986448754337/5166463796611145671415300*c_10\ 10_6^7 + 77525405311512065554012249583/2583231898305572835707650*c_\ 1010_6^6 - 86340371585800340232295165181/2583231898305572835707650*\ c_1010_6^5 + 50703610764108307379243216654/129161594915278641785382\ 5*c_1010_6^4 - 2357730745869860981640198573/20665855186444582685661\ 2*c_1010_6^3 + 5247306778516354187102924181/12916159491527864178538\ 25*c_1010_6^2 - 1728556060252884298217753009/2583231898305572835707\ 650*c_1010_6 - 510118010755787749421954159/258323189830557283570765\ 0, c_0011_0 - 1, c_0011_10 - 1345143504296853084/9644322935619088429*c_1010_6^15 - 12528757184618567273/9644322935619088429*c_1010_6^14 - 11820782732429547710/9644322935619088429*c_1010_6^13 + 57095453727042680416/9644322935619088429*c_1010_6^12 - 25771198387912077627/9644322935619088429*c_1010_6^11 + 89376943947963873846/9644322935619088429*c_1010_6^10 - 36007798390903507571/9644322935619088429*c_1010_6^9 - 11932784043670933242/9644322935619088429*c_1010_6^8 - 246224245732039397571/9644322935619088429*c_1010_6^7 + 197724600399336464237/9644322935619088429*c_1010_6^6 - 193424798624535231445/9644322935619088429*c_1010_6^5 + 239191969621117765407/9644322935619088429*c_1010_6^4 + 160236202367103171686/9644322935619088429*c_1010_6^3 + 24205287063384076134/9644322935619088429*c_1010_6^2 + 25890334762488645890/9644322935619088429*c_1010_6 + 9817642588853683069/9644322935619088429, c_0011_11 - 1359854510281347793/9644322935619088429*c_1010_6^15 - 12350655185779549366/9644322935619088429*c_1010_6^14 - 9151782771726907779/9644322935619088429*c_1010_6^13 + 59340803616142818041/9644322935619088429*c_1010_6^12 - 39513273458605261002/9644322935619088429*c_1010_6^11 + 102745153248271285793/9644322935619088429*c_1010_6^10 - 66399883017549170775/9644322935619088429*c_1010_6^9 + 8552279202885508706/9644322935619088429*c_1010_6^8 - 258617900365260124809/9644322935619088429*c_1010_6^7 + 265800789789268260327/9644322935619088429*c_1010_6^6 - 262213315962325811115/9644322935619088429*c_1010_6^5 + 334721954265383484072/9644322935619088429*c_1010_6^4 + 55589644574181612065/9644322935619088429*c_1010_6^3 + 33539834710418542273/9644322935619088429*c_1010_6^2 - 2910508878248984760/9644322935619088429*c_1010_6 + 5018832430600703121/9644322935619088429, c_0011_12 - 1558737522326457728/9644322935619088429*c_1010_6^15 - 14099268444721475098/9644322935619088429*c_1010_6^14 - 9980192683415473197/9644322935619088429*c_1010_6^13 + 68196390002442606757/9644322935619088429*c_1010_6^12 - 48551541120544002099/9644322935619088429*c_1010_6^11 + 120769544120893661319/9644322935619088429*c_1010_6^10 - 74400305028656168647/9644322935619088429*c_1010_6^9 + 7444322404201347007/9644322935619088429*c_1010_6^8 - 299488864744492045740/9644322935619088429*c_1010_6^7 + 309639119875379158354/9644322935619088429*c_1010_6^6 - 313496790186793828611/9644322935619088429*c_1010_6^5 + 388850978815650271673/9644322935619088429*c_1010_6^4 + 80524934776418030254/9644322935619088429*c_1010_6^3 + 27205750285141481718/9644322935619088429*c_1010_6^2 - 266905445431463623/9644322935619088429*c_1010_6 + 2416519406440412262/9644322935619088429, c_0011_6 + 222367780375650659/9644322935619088429*c_1010_6^15 + 2023739609909347127/9644322935619088429*c_1010_6^14 + 1325348691794988378/9644322935619088429*c_1010_6^13 - 11569894528817242061/9644322935619088429*c_1010_6^12 + 4835928721225140379/9644322935619088429*c_1010_6^11 - 8013209148268625370/9644322935619088429*c_1010_6^10 + 4056374818481892191/9644322935619088429*c_1010_6^9 + 16562136503069606768/9644322935619088429*c_1010_6^8 + 30121652213020050859/9644322935619088429*c_1010_6^7 - 40844593033236548351/9644322935619088429*c_1010_6^6 + 3303861358259253544/9644322935619088429*c_1010_6^5 - 9564299104132209574/9644322935619088429*c_1010_6^4 - 52981411378114820164/9644322935619088429*c_1010_6^3 + 49303915426202356903/9644322935619088429*c_1010_6^2 + 5205140607966988468/9644322935619088429*c_1010_6 - 935840131924904876/9644322935619088429, c_0011_8 + 513835542649139608/9644322935619088429*c_1010_6^15 + 4313032507858849527/9644322935619088429*c_1010_6^14 + 185571528275026231/9644322935619088429*c_1010_6^13 - 25304384764136714788/9644322935619088429*c_1010_6^12 + 30220081611396312543/9644322935619088429*c_1010_6^11 - 47151684863105099493/9644322935619088429*c_1010_6^10 + 47300978165440127700/9644322935619088429*c_1010_6^9 - 10514243442453666044/9644322935619088429*c_1010_6^8 + 96453454747783658799/9644322935619088429*c_1010_6^7 - 166193212649318212763/9644322935619088429*c_1010_6^6 + 152079974406085154323/9644322935619088429*c_1010_6^5 - 176550032183114404053/9644322935619088429*c_1010_6^4 + 36689008428753962699/9644322935619088429*c_1010_6^3 + 35448818527918920349/9644322935619088429*c_1010_6^2 + 7059174669317757209/9644322935619088429*c_1010_6 - 136864713000796541/9644322935619088429, c_0101_0 - 1, c_0101_10 + 604485900142413150/9644322935619088429*c_1010_6^15 + 5548948886985885373/9644322935619088429*c_1010_6^14 + 4409030559291093689/9644322935619088429*c_1010_6^13 - 27720200349021050465/9644322935619088429*c_1010_6^12 + 13765325857944710033/9644322935619088429*c_1010_6^11 - 36293687207950444783/9644322935619088429*c_1010_6^10 + 17575315653507392428/9644322935619088429*c_1010_6^9 + 17931464422055596549/9644322935619088429*c_1010_6^8 + 104015356759841274228/9644322935619088429*c_1010_6^7 - 101991898923796633623/9644322935619088429*c_1010_6^6 + 65812135380858051484/9644322935619088429*c_1010_6^5 - 96476084898661977047/9644322935619088429*c_1010_6^4 - 90558332678919587351/9644322935619088429*c_1010_6^3 + 50066165178580515506/9644322935619088429*c_1010_6^2 + 2925485914527372747/9644322935619088429*c_1010_6 + 6618678844339547313/9644322935619088429, c_0101_12 - 1153477765381485143/9644322935619088429*c_1010_6^15 - 10568351095299240360/9644322935619088429*c_1010_6^14 - 8671800412385575101/9644322935619088429*c_1010_6^13 + 49074714085060815886/9644322935619088429*c_1010_6^12 - 29792158412447883623/9644322935619088429*c_1010_6^11 + 88080296311829066348/9644322935619088429*c_1010_6^10 - 51075650286695768996/9644322935619088429*c_1010_6^9 + 9580500929392144685/9644322935619088429*c_1010_6^8 - 226776578302533688518/9644322935619088429*c_1010_6^7 + 206389268575536895057/9644322935619088429*c_1010_6^6 - 223920522619501355691/9644322935619088429*c_1010_6^5 + 285329188207325473621/9644322935619088429*c_1010_6^4 + 52640116423173561847/9644322935619088429*c_1010_6^3 + 60938054698817855620/9644322935619088429*c_1010_6^2 + 173590379546746273/9644322935619088429*c_1010_6 + 3488626493724442021/9644322935619088429, c_0110_10 + 371472966136055793/9644322935619088429*c_1010_6^15 + 2829435330650234665/9644322935619088429*c_1010_6^14 - 2636568624959779767/9644322935619088429*c_1010_6^13 - 21679377829767927221/9644322935619088429*c_1010_6^12 + 32815202357281290299/9644322935619088429*c_1010_6^11 - 34782942017365892307/9644322935619088429*c_1010_6^10 + 58280539651881637977/9644322935619088429*c_1010_6^9 - 20552276262007360748/9644322935619088429*c_1010_6^8 + 64972160480391647435/9644322935619088429*c_1010_6^7 - 180416953012523950058/9644322935619088429*c_1010_6^6 + 143930587769324732444/9644322935619088429*c_1010_6^5 - 167780893271641405360/9644322935619088429*c_1010_6^4 + 105402562106358516935/9644322935619088429*c_1010_6^3 + 44920572684069867088/9644322935619088429*c_1010_6^2 + 28051311686179011121/9644322935619088429*c_1010_6 + 698525445014078168/9644322935619088429, c_1001_10 + 1044901979677318120/9644322935619088429*c_1010_6^15 + 9786235936862625571/9644322935619088429*c_1010_6^14 + 9794621155140446966/9644322935619088429*c_1010_6^13 - 42892005238305891969/9644322935619088429*c_1010_6^12 + 18331459509147689556/9644322935619088429*c_1010_6^11 - 73617859257788561826/9644322935619088429*c_1010_6^10 + 27099326863216040947/9644322935619088429*c_1010_6^9 + 3069921038252319037/9644322935619088429*c_1010_6^8 + 203035409996708386941/9644322935619088429*c_1010_6^7 - 143445907226060945591/9644322935619088429*c_1010_6^6 + 161416815780708674288/9644322935619088429*c_1010_6^5 - 212300946632535867620/9644322935619088429*c_1010_6^4 - 117213943205171992953/9644322935619088429*c_1010_6^3 - 62654568813060402067/9644322935619088429*c_1010_6^2 - 6792269223886293586/9644322935619088429*c_1010_6 - 2279654693439615721/9644322935619088429, c_1001_2 + 513835542649139608/9644322935619088429*c_1010_6^15 + 4313032507858849527/9644322935619088429*c_1010_6^14 + 185571528275026231/9644322935619088429*c_1010_6^13 - 25304384764136714788/9644322935619088429*c_1010_6^12 + 30220081611396312543/9644322935619088429*c_1010_6^11 - 47151684863105099493/9644322935619088429*c_1010_6^10 + 47300978165440127700/9644322935619088429*c_1010_6^9 - 10514243442453666044/9644322935619088429*c_1010_6^8 + 96453454747783658799/9644322935619088429*c_1010_6^7 - 166193212649318212763/9644322935619088429*c_1010_6^6 + 152079974406085154323/9644322935619088429*c_1010_6^5 - 176550032183114404053/9644322935619088429*c_1010_6^4 + 36689008428753962699/9644322935619088429*c_1010_6^3 + 35448818527918920349/9644322935619088429*c_1010_6^2 + 16703497604936845638/9644322935619088429*c_1010_6 - 136864713000796541/9644322935619088429, c_1010_6^16 + 9*c_1010_6^15 + 6*c_1010_6^14 - 44*c_1010_6^13 + 33*c_1010_6^12 - 79*c_1010_6^11 + 53*c_1010_6^10 - 10*c_1010_6^9 + 193*c_1010_6^8 - 208*c_1010_6^7 + 213*c_1010_6^6 - 263*c_1010_6^5 - 29*c_1010_6^4 - 24*c_1010_6^3 + 2*c_1010_6^2 + 2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.300 Total time: 0.510 seconds, Total memory usage: 32.09MB