Magma V2.19-8 Wed Aug 21 2013 00:50:48 on localhost [Seed = 1511804748] Type ? for help. Type -D to quit. Loading file "L10a28__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L10a28 geometric_solution 12.72241474 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 1 1 1 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 -1 0 1 -1 0 1 0 0 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.185660915030 0.893614259614 0 5 7 6 0132 0132 0132 0132 1 1 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 1 0 -1 0 0 0 0 0 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.268952316039 0.899843034124 8 0 9 9 0132 0132 2103 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 1 0 -1 -1 0 1 0 -1 0 0 1 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.476774875463 1.025127637637 8 8 9 0 2031 0321 2031 0132 1 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 0 1 -1 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.476774875463 1.025127637637 6 7 0 5 0132 0132 0132 0132 1 1 1 1 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 -1 0 0 0 0 0 0 -1 0 1 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.268952316039 0.899843034124 8 1 4 9 1023 0132 0132 2031 1 1 1 1 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 3 0 -3 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.185660915030 0.893614259614 4 10 1 11 0132 0132 0132 0132 1 1 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 2 0 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.294832816612 0.818582477245 12 4 10 1 0132 0132 0132 0132 1 1 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 -1 1 0 0 0 -1 1 3 0 0 -3 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.294832816612 0.818582477245 2 5 3 3 0132 1023 1302 0321 1 0 1 1 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 1 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 0.476774875463 1.025127637637 2 5 2 3 2103 1302 0132 1302 1 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 -1 0 0 1 0 0 0 0 -2 3 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.626995369172 0.802008192351 12 6 11 7 1023 0132 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 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 0 0 0 0.814810611735 1.508357267225 12 12 6 10 2103 2310 0132 0132 1 1 1 1 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 0 0 0 0 0 0 -3 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.076725258019 0.816851798625 7 10 11 11 0132 1023 2103 3201 1 1 1 1 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 0 0 1 0 0 -1 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.076725258019 0.816851798625 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0101_7']), 'c_1001_10' : negation(d['c_0101_7']), 'c_1001_12' : d['c_0011_11'], 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : d['c_0011_9'], 'c_1001_7' : d['c_1001_5'], 'c_1001_6' : d['c_1001_5'], 'c_1001_1' : d['c_0011_9'], 'c_1001_0' : d['c_0110_5'], 'c_1001_3' : d['c_0101_3'], 'c_1001_2' : d['c_0011_9'], 'c_1001_9' : d['c_0110_5'], 'c_1001_8' : d['c_0101_0'], 'c_1010_12' : d['c_0101_7'], 'c_1010_11' : negation(d['c_0101_7']), 'c_1010_10' : d['c_1001_5'], '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_1'], 'c_0101_11' : d['c_0101_1'], 'c_0101_10' : d['c_0011_11'], 's_2_0' : negation(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' : negation(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' : negation(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' : d['c_0101_3'], 'c_0011_12' : d['c_0011_10'], 'c_1100_5' : negation(d['c_1010_9']), 'c_1100_4' : negation(d['c_1010_9']), 'c_1100_7' : d['c_1100_1'], 'c_1100_6' : d['c_1100_1'], 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : negation(d['c_1010_9']), 'c_1100_3' : negation(d['c_1010_9']), 'c_1100_2' : d['c_0101_3'], 's_3_11' : d['1'], 'c_1100_9' : d['c_0101_3'], 'c_1100_11' : d['c_1100_1'], 'c_1100_10' : d['c_1100_1'], 's_3_10' : d['1'], 'c_1010_7' : d['c_0011_9'], 'c_1010_6' : negation(d['c_0101_7']), 'c_1010_5' : d['c_0011_9'], 'c_1010_4' : d['c_1001_5'], 'c_1010_3' : d['c_0110_5'], 'c_1010_2' : d['c_0110_5'], 'c_1010_1' : d['c_1001_5'], 'c_1010_0' : d['c_0011_9'], 'c_1010_9' : d['c_1010_9'], 'c_1010_8' : d['c_0110_5'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(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' : negation(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' : negation(d['1']), 's_1_2' : negation(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' : d['c_0011_9'], 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_10'], 'c_0011_7' : negation(d['c_0011_10']), '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' : d['c_0011_11'], 'c_0110_10' : d['c_0101_7'], 'c_0110_12' : d['c_0101_7'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_3']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_3']), 'c_0101_8' : negation(d['c_0011_3']), '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_3']), 'c_0110_8' : negation(d['c_0011_3']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_3']), 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0101_0'], 'c_0110_7' : d['c_0101_1'], '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_3, c_0011_9, c_0101_0, c_0101_1, c_0101_3, c_0101_7, c_0110_5, c_1001_5, c_1010_9, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t + 21751277561210171863988258820313397740145715765/9688335438278367731\ 092185204207924989398208*c_1100_1^17 - 7279222845416892111989173128738397433194429993/74525657217525905623\ 7860400323686537646016*c_1100_1^16 + 121777471272715207129780907244141424213251119699/484416771913918386\ 5546092602103962494699104*c_1100_1^15 - 168510102048006673053367565013908266603410017269/484416771913918386\ 5546092602103962494699104*c_1100_1^14 - 876888923893936499836691171964148633205985267171/968833543827836773\ 1092185204207924989398208*c_1100_1^13 - 754786290669792544762609779236597965658698528813/968833543827836773\ 1092185204207924989398208*c_1100_1^12 - 27551102571731533682416996706399387968840585545/3726282860876295281\ 18930200161843268823008*c_1100_1^11 - 939334321600686257740725654602580700847114804259/484416771913918386\ 5546092602103962494699104*c_1100_1^10 - 1177997940163138827580356583107543481962224170223/48441677191391838\ 65546092602103962494699104*c_1100_1^9 - 1313291266199437580009294732889564462908759084899/48441677191391838\ 65546092602103962494699104*c_1100_1^8 - 88726718358425596486468993236071692820619627097/3027604824461989915\ 96630787631497655918694*c_1100_1^7 - 160444059364117258039461303709899798519503435239/605520964892397983\ 193261575262995311837388*c_1100_1^6 - 1692694457084598298032755394767681400642840879907/96883354382783677\ 31092185204207924989398208*c_1100_1^5 - 933287431874588361710903818063596315540092174089/968833543827836773\ 1092185204207924989398208*c_1100_1^4 - 108719810577535388319092675025440642320530162495/242208385956959193\ 2773046301051981247349552*c_1100_1^3 - 111872558200007117215546304513520976050949427/738440201088290223406\ 4165551987747705334*c_1100_1^2 - 6792653587665715816149225268223828\ 943912285601/2422083859569591932773046301051981247349552*c_1100_1 - 136383122965537632490931305301927552077734809/242208385956959193277\ 3046301051981247349552, c_0011_0 - 1, c_0011_10 - c_1100_1, c_0011_11 - 980719159957251066248733739565593654471/5880385779693686531\ 355419141551623356*c_1100_1^17 + 4214548276698796890896825618341316\ 41683/5880385779693686531355419141551623356*c_1100_1^16 - 4115155230339123701557000061229051856239/29401928898468432656777095\ 70775811678*c_1100_1^15 - 4372753794310613050679947138795796141436/\ 1470096444923421632838854785387905839*c_1100_1^14 - 5022822443939234129815859148060612086507/14700964449234216328388547\ 85387905839*c_1100_1^13 - 6096806801873786557531411560067840037264/\ 1470096444923421632838854785387905839*c_1100_1^12 - 42097333767969281827183926830140344001565/5880385779693686531355419\ 141551623356*c_1100_1^11 - 5453562176995093669489505955501459906002\ 9/5880385779693686531355419141551623356*c_1100_1^10 - 61722193814631255198089901186180475582849/5880385779693686531355419\ 141551623356*c_1100_1^9 - 63778557159222451100577642584646557508445\ /5880385779693686531355419141551623356*c_1100_1^8 - 28548965576100521459624669741102506478187/2940192889846843265677709\ 570775811678*c_1100_1^7 - 10163863740430553552831003085827544159288\ /1470096444923421632838854785387905839*c_1100_1^6 - 24155995879660919752885249971282399115107/5880385779693686531355419\ 141551623356*c_1100_1^5 - 12029340147385753010578590161846451862779\ /5880385779693686531355419141551623356*c_1100_1^4 - 4850339564991419011399245064086013752455/58803857796936865313554191\ 41551623356*c_1100_1^3 - 34224572813915246095553068762737889347/143\ 424043407163086130619979062234716*c_1100_1^2 - 66791881569261386006192838171744463002/1470096444923421632838854785\ 387905839*c_1100_1 - 13486721294491632220152829259444457989/2940192\ 889846843265677709570775811678, c_0011_3 + 1, c_0011_9 + 5118776389960768525688220183685964503625/3822250756800896245\ 3810224420085551814*c_1100_1^17 - 136304020843944819662715774337301\ 762257/2940192889846843265677709570775811678*c_1100_1^16 + 21156218650120164085739742952041861756609/1911125378400448122690511\ 2210042775907*c_1100_1^15 + 476530543442320296268726444293435341783\ 53/19111253784004481226905112210042775907*c_1100_1^14 + 108459832562400449385120332436187678560745/382225075680089624538102\ 24420085551814*c_1100_1^13 + 12976331440208131164495310729512601551\ 0743/38222507568008962453810224420085551814*c_1100_1^12 + 8628698930846091198466491762910273711865/14700964449234216328388547\ 85387905839*c_1100_1^11 + 14754142284823380556149643470808996333742\ 5/19111253784004481226905112210042775907*c_1100_1^10 + 165324967473390243690093116466282261596507/191112537840044812269051\ 12210042775907*c_1100_1^9 + 171216350967286267639404444164281299330\ 583/19111253784004481226905112210042775907*c_1100_1^8 + 153365606341186365669132564959593370797247/191112537840044812269051\ 12210042775907*c_1100_1^7 + 109098949404333018028070613905000352898\ 679/19111253784004481226905112210042775907*c_1100_1^6 + 128145721335830870279376793905008249708083/382225075680089624538102\ 24420085551814*c_1100_1^5 + 637518065074261296676099693322451537392\ 57/38222507568008962453810224420085551814*c_1100_1^4 + 12724412440412835621541090424100948727833/1911125378400448122690511\ 2210042775907*c_1100_1^3 + 88492285725341536775439795953702012627/4\ 66128141073280029924514931952262827*c_1100_1^2 + 654161164958402325887231464298497374297/191112537840044812269051122\ 10042775907*c_1100_1 + 70401212851899248739690376873639154961/19111\ 253784004481226905112210042775907, c_0101_0 - 5118776389960768525688220183685964503625/3822250756800896245\ 3810224420085551814*c_1100_1^17 + 136304020843944819662715774337301\ 762257/2940192889846843265677709570775811678*c_1100_1^16 - 21156218650120164085739742952041861756609/1911125378400448122690511\ 2210042775907*c_1100_1^15 - 476530543442320296268726444293435341783\ 53/19111253784004481226905112210042775907*c_1100_1^14 - 108459832562400449385120332436187678560745/382225075680089624538102\ 24420085551814*c_1100_1^13 - 12976331440208131164495310729512601551\ 0743/38222507568008962453810224420085551814*c_1100_1^12 - 8628698930846091198466491762910273711865/14700964449234216328388547\ 85387905839*c_1100_1^11 - 14754142284823380556149643470808996333742\ 5/19111253784004481226905112210042775907*c_1100_1^10 - 165324967473390243690093116466282261596507/191112537840044812269051\ 12210042775907*c_1100_1^9 - 171216350967286267639404444164281299330\ 583/19111253784004481226905112210042775907*c_1100_1^8 - 153365606341186365669132564959593370797247/191112537840044812269051\ 12210042775907*c_1100_1^7 - 109098949404333018028070613905000352898\ 679/19111253784004481226905112210042775907*c_1100_1^6 - 128145721335830870279376793905008249708083/382225075680089624538102\ 24420085551814*c_1100_1^5 - 637518065074261296676099693322451537392\ 57/38222507568008962453810224420085551814*c_1100_1^4 - 12724412440412835621541090424100948727833/1911125378400448122690511\ 2210042775907*c_1100_1^3 - 88492285725341536775439795953702012627/4\ 66128141073280029924514931952262827*c_1100_1^2 - 654161164958402325887231464298497374297/191112537840044812269051122\ 10042775907*c_1100_1 - 70401212851899248739690376873639154961/19111\ 253784004481226905112210042775907, c_0101_1 - 3420720643118951263959284995032377812960/1911125378400448122\ 6905112210042775907*c_1100_1^17 + 233607406568433421265286542401410\ 332773/2940192889846843265677709570775811678*c_1100_1^16 - 28646857725679962280966492673413061455964/1911125378400448122690511\ 2210042775907*c_1100_1^15 - 121485268569947987446768377125343377955\ 403/38222507568008962453810224420085551814*c_1100_1^14 - 136811044274023094719831303690285206928695/382225075680089624538102\ 24420085551814*c_1100_1^13 - 16721292909245391903361745270732903323\ 6661/38222507568008962453810224420085551814*c_1100_1^12 - 22324502876225917280968265428155884416483/2940192889846843265677709\ 570775811678*c_1100_1^11 - 7492477392138824717138584496506362975164\ 33/76445015136017924907620448840171103628*c_1100_1^10 - 210797199629308594800989943300527008701096/191112537840044812269051\ 12210042775907*c_1100_1^9 - 218049783808918889506801791215574120515\ 172/19111253784004481226905112210042775907*c_1100_1^8 - 194192682414149032854914381605790852120437/191112537840044812269051\ 12210042775907*c_1100_1^7 - 550447369688349961627107677807699150983\ 727/76445015136017924907620448840171103628*c_1100_1^6 - 162445187027774565279486851024573134208793/382225075680089624538102\ 24420085551814*c_1100_1^5 - 161561602304826250152300328751993271375\ 463/76445015136017924907620448840171103628*c_1100_1^4 - 32275748411225299371413960333212905684467/3822250756800896245381022\ 4420085551814*c_1100_1^3 - 453588650669141400048545689654044393655/\ 1864512564293120119698059727809051308*c_1100_1^2 - 1734402312238393768913926104301624973457/38222507568008962453810224\ 420085551814*c_1100_1 - 183710843112734753852095561483266224899/382\ 22507568008962453810224420085551814, c_0101_3 - 817913079784852568276815/1553476982597386651052*c_1100_1^17 + 346081018668639794961909/1553476982597386651052*c_1100_1^16 - 3440324645234578226656139/776738491298693325526*c_1100_1^15 - 7305011306597657706520989/776738491298693325526*c_1100_1^14 - 17017928253403311093085847/1553476982597386651052*c_1100_1^13 - 20671977635244511858729919/1553476982597386651052*c_1100_1^12 - 17680655384482055848119509/776738491298693325526*c_1100_1^11 - 22978532483028840614927439/776738491298693325526*c_1100_1^10 - 13071681703265777707602772/388369245649346662763*c_1100_1^9 - 13504266782757385551105726/388369245649346662763*c_1100_1^8 - 24225378243501445251807419/776738491298693325526*c_1100_1^7 - 17362758080431506759055293/776738491298693325526*c_1100_1^6 - 20693228328991774114379487/1553476982597386651052*c_1100_1^5 - 10307892111499230553810027/1553476982597386651052*c_1100_1^4 - 2083266645927482442884129/776738491298693325526*c_1100_1^3 - 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PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.180 Total time: 0.390 seconds, Total memory usage: 32.09MB