Magma V2.19-8 Wed Aug 21 2013 01:08:39 on localhost [Seed = 879897958] Type ? for help. Type -D to quit. Loading file "L14n412__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n412 geometric_solution 11.38048315 oriented_manifold CS_known 0.0000000000000000 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 3 0132 0132 0132 0321 0 1 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 0 0 0 1 0 -1 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 0.707365741048 0.831597670138 0 4 6 5 0132 0132 0132 0132 1 1 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 0 0 0 0 0 0 0 0 0 0 0 13 -13 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 0.678490357650 0.567272360889 7 0 6 6 0132 0132 3012 3120 0 1 1 1 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 -1 2 -1 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 0.707365741048 0.831597670138 5 0 6 0 0132 0321 3120 0132 0 1 1 1 0 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 1 -1 0 1 0 0 -1 1 -1 0 0 12 1 -13 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.406533021112 0.697695305706 8 1 9 7 0132 0132 0132 1023 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 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.815329473025 1.435377788488 3 7 1 9 0132 0213 0132 1302 1 1 1 1 0 -1 1 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 -13 13 0 -1 0 0 1 -12 0 0 12 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.717354704358 0.620764538564 2 2 3 1 3120 1230 3120 0132 1 1 1 0 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 13 -13 0 0 0 0 0 0 0 0 1 -2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.707365741048 0.831597670138 2 8 5 4 0132 0132 0213 1023 1 1 1 1 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 -13 13 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 0.095711337866 0.774626072848 4 7 11 10 0132 0132 0132 0132 1 1 1 1 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 13 -13 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 0.159199493086 0.718852749717 11 11 5 4 1302 3012 2031 0132 1 1 1 1 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 12 -12 0 0 0 0 0 0 1 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.159199493086 0.718852749717 11 12 8 12 2310 0132 0132 1023 1 1 1 1 0 0 0 0 -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 0 0 0 -12 0 -1 13 0 0 0 0 13 -13 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.059575097572 2.342753273032 9 9 10 8 1230 2031 3201 0132 1 1 1 1 0 0 -1 1 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 -13 13 -1 0 0 1 -1 0 0 1 -12 0 12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.159199493086 0.718852749717 12 10 12 10 2031 0132 1302 1023 1 1 1 1 0 0 1 -1 -1 0 1 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 13 -13 -13 0 13 0 -13 13 0 0 -13 0 13 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.377434100681 0.199999163030 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : negation(d['c_0011_3']), 'c_1001_11' : negation(d['c_0101_10']), 'c_1001_10' : negation(d['c_0101_11']), 'c_1001_12' : d['c_0110_12'], 'c_1001_5' : negation(d['c_0101_11']), 'c_1001_4' : negation(d['c_0101_11']), 'c_1001_7' : negation(d['c_0101_11']), 'c_1001_6' : d['c_0101_6'], 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : negation(d['c_0011_6']), 'c_1001_3' : negation(d['c_0101_6']), 'c_1001_2' : negation(d['c_0011_6']), 'c_1001_9' : negation(d['c_0011_11']), 'c_1001_8' : d['c_0011_9'], 'c_1010_12' : negation(d['c_0101_11']), 'c_1010_11' : d['c_0011_9'], 'c_1010_10' : d['c_0110_12'], '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_11'], '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_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' : negation(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' : negation(d['c_0011_10']), 'c_1100_5' : negation(d['c_0011_11']), 'c_1100_4' : negation(d['c_1010_5']), 'c_1100_7' : d['c_1010_5'], 'c_1100_6' : negation(d['c_0011_11']), 'c_1100_1' : negation(d['c_0011_11']), 'c_1100_0' : negation(d['c_0101_6']), 'c_1100_3' : negation(d['c_0101_6']), 'c_1100_2' : negation(d['c_0101_6']), 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0011_10']), 'c_1100_10' : negation(d['c_0011_10']), 's_0_11' : d['1'], 'c_1010_7' : d['c_0011_9'], 'c_1010_6' : d['c_0101_2'], 'c_1010_5' : d['c_1010_5'], 'c_1010_4' : d['c_0101_2'], 'c_1010_3' : negation(d['c_0011_6']), 'c_1010_2' : negation(d['c_0011_6']), 'c_1010_1' : negation(d['c_0101_11']), 'c_1010_0' : negation(d['c_0011_6']), 'c_1010_9' : negation(d['c_0101_11']), 'c_1010_8' : negation(d['c_0101_11']), 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_7' : d['1'], 's_3_6' : negation(d['1']), 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : d['c_0011_10'], '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' : 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' : negation(d['c_0011_0']), 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : d['c_0011_6'], '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_9'], 'c_0110_10' : negation(d['c_0101_11']), 'c_0110_12' : d['c_0110_12'], 'c_0101_12' : d['c_0011_10'], 'c_0110_0' : negation(d['c_0011_3']), 'c_0101_7' : negation(d['c_0011_3']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_10'], 'c_0101_3' : d['c_0011_11'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_3']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_11']), 'c_0101_8' : d['c_0011_9'], 's_1_12' : 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_10'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_1010_5']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_3']), 'c_0110_5' : d['c_0011_11'], 'c_0110_4' : d['c_0011_9'], 'c_0110_7' : d['c_0101_2'], 'c_1100_8' : negation(d['c_0011_10'])})} 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_6, c_0011_9, c_0101_0, c_0101_10, c_0101_11, c_0101_2, c_0101_6, c_0110_12, c_1010_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 20 Groebner basis: [ t - 55070328501947/10508035052320*c_1010_5^19 - 74932323094651/1050803505232*c_1010_5^18 - 5457578998892003/10508035052320*c_1010_5^17 - 13687838550389571/5254017526160*c_1010_5^16 - 5225497638396613/525401752616*c_1010_5^15 - 39971181468200969/1313504381540*c_1010_5^14 - 202153068147960427/2627008763080*c_1010_5^13 - 215386579677555673/1313504381540*c_1010_5^12 - 3133361265193785357/10508035052320*c_1010_5^11 - 2450430433500235619/5254017526160*c_1010_5^10 - 6621750134604275217/10508035052320*c_1010_5^9 - 3869028278806220679/5254017526160*c_1010_5^8 - 975730553401118137/1313504381540*c_1010_5^7 - 3250056380143109/5051939929*c_1010_5^6 - 621921334316700571/1313504381540*c_1010_5^5 - 22498965271487247/77264963620*c_1010_5^4 - 1529299459893257207/10508035052320*c_1010_5^3 - 295881454719463279/5254017526160*c_1010_5^2 - 161299110255916351/10508035052320*c_1010_5 - 929405162343879/404155194320, c_0011_0 - 1, c_0011_10 - 2/169*c_1010_5^19 - 28/169*c_1010_5^18 - 16/13*c_1010_5^17 - 1064/169*c_1010_5^16 - 4148/169*c_1010_5^15 - 12992/169*c_1010_5^14 - 33736/169*c_1010_5^13 - 74096/169*c_1010_5^12 - 139478/169*c_1010_5^11 - 226956/169*c_1010_5^10 - 320864/169*c_1010_5^9 - 395016/169*c_1010_5^8 - 423268/169*c_1010_5^7 - 393424/169*c_1010_5^6 - 314879/169*c_1010_5^5 - 16476/13*c_1010_5^4 - 120840/169*c_1010_5^3 - 54012/169*c_1010_5^2 - 17375/169*c_1010_5 - 3020/169, c_0011_11 - 1, c_0011_3 - 99/169*c_1010_5^19 - 1048/169*c_1010_5^18 - 454/13*c_1010_5^17 - 22248/169*c_1010_5^16 - 60324/169*c_1010_5^15 - 117176/169*c_1010_5^14 - 141496/169*c_1010_5^13 + 1576/169*c_1010_5^12 + 513249/169*c_1010_5^11 + 1546472/169*c_1010_5^10 + 3029346/169*c_1010_5^9 + 4569768/169*c_1010_5^8 + 5584952/169*c_1010_5^7 + 5629448/169*c_1010_5^6 + 4689856/169*c_1010_5^5 + 245992/13*c_1010_5^4 + 1742565/169*c_1010_5^3 + 724320/169*c_1010_5^2 + 208778/169*c_1010_5 + 32016/169, c_0011_6 + 1, c_0011_9 + 70/169*c_1010_5^19 + 980/169*c_1010_5^18 + 560/13*c_1010_5^17 + 37071/169*c_1010_5^16 + 143152/169*c_1010_5^15 + 441707/169*c_1010_5^14 + 1123300/169*c_1010_5^13 + 2400869/169*c_1010_5^12 + 4367294/169*c_1010_5^11 + 6814202/169*c_1010_5^10 + 9157624/169*c_1010_5^9 + 10610673/169*c_1010_5^8 + 10576536/169*c_1010_5^7 + 9016546/169*c_1010_5^6 + 6504240/169*c_1010_5^5 + 300046/13*c_1010_5^4 + 1888750/169*c_1010_5^3 + 702012/169*c_1010_5^2 + 181400/169*c_1010_5 + 25087/169, c_0101_0 - 70/169*c_1010_5^19 - 1149/169*c_1010_5^18 - 716/13*c_1010_5^17 - 50253/169*c_1010_5^16 - 202640/169*c_1010_5^15 - 647042/169*c_1010_5^14 - 1693168/169*c_1010_5^13 - 3710281/169*c_1010_5^12 - 6903646/169*c_1010_5^11 - 11002529/169*c_1010_5^10 - 15090876/169*c_1010_5^9 - 17838127/169*c_1010_5^8 - 18136920/169*c_1010_5^7 - 15771814/169*c_1010_5^6 - 11606688/169*c_1010_5^5 - 546292/13*c_1010_5^4 - 3508446/169*c_1010_5^3 - 1329847/169*c_1010_5^2 - 349724/169*c_1010_5 - 48747/169, c_0101_10 - 70/169*c_1010_5^19 - 980/169*c_1010_5^18 - 534/13*c_1010_5^17 - 33184/169*c_1010_5^16 - 118985/169*c_1010_5^15 - 337772/169*c_1010_5^14 - 782934/169*c_1010_5^13 - 1509056/169*c_1010_5^12 - 2443060/169*c_1010_5^11 - 3334492/169*c_1010_5^10 - 3827026/169*c_1010_5^9 - 3654464/169*c_1010_5^8 - 2833632/169*c_1010_5^7 - 1687016/169*c_1010_5^6 - 651770/169*c_1010_5^5 - 1384/13*c_1010_5^4 + 195696/169*c_1010_5^3 + 161916/169*c_1010_5^2 + 70748/169*c_1010_5 + 15304/169, c_0101_11 + 70/169*c_1010_5^19 + 980/169*c_1010_5^18 + 547/13*c_1010_5^17 + 35212/169*c_1010_5^16 + 131998/169*c_1010_5^15 + 395232/169*c_1010_5^14 + 975425/169*c_1010_5^13 + 2023492/169*c_1010_5^12 + 3572318/169*c_1010_5^11 + 5407108/169*c_1010_5^10 + 7041913/169*c_1010_5^9 + 7892308/169*c_1010_5^8 + 7586926/169*c_1010_5^7 + 6209456/169*c_1010_5^6 + 4271412/169*c_1010_5^5 + 185984/13*c_1010_5^4 + 1087352/169*c_1010_5^3 + 365364/169*c_1010_5^2 + 80845/169*c_1010_5 + 8356/169, c_0101_2 + 70/169*c_1010_5^19 + 1149/169*c_1010_5^18 + 716/13*c_1010_5^17 + 50253/169*c_1010_5^16 + 202640/169*c_1010_5^15 + 647042/169*c_1010_5^14 + 1693168/169*c_1010_5^13 + 3710281/169*c_1010_5^12 + 6903646/169*c_1010_5^11 + 11002529/169*c_1010_5^10 + 15090876/169*c_1010_5^9 + 17838127/169*c_1010_5^8 + 18136920/169*c_1010_5^7 + 15771814/169*c_1010_5^6 + 11606688/169*c_1010_5^5 + 546292/13*c_1010_5^4 + 3508446/169*c_1010_5^3 + 1329847/169*c_1010_5^2 + 349724/169*c_1010_5 + 48747/169, c_0101_6 - c_1010_5^19 - 13*c_1010_5^18 - 90*c_1010_5^17 - 429*c_1010_5^16 - 1556*c_1010_5^15 - 4522*c_1010_5^14 - 10856*c_1010_5^13 - 21945*c_1010_5^12 - 37813*c_1010_5^11 - 55953*c_1010_5^10 - 71370*c_1010_5^9 - 78511*c_1010_5^8 - 74272*c_1010_5^7 - 60014*c_1010_5^6 - 40928*c_1010_5^5 - 23100*c_1010_5^4 - 10449*c_1010_5^3 - 3583*c_1010_5^2 - 834*c_1010_5 - 99, c_0110_12 - 12/169*c_1010_5^19 - 168/169*c_1010_5^18 - 96/13*c_1010_5^17 - 6384/169*c_1010_5^16 - 24888/169*c_1010_5^15 - 77952/169*c_1010_5^14 - 202416/169*c_1010_5^13 - 444576/169*c_1010_5^12 - 836699/169*c_1010_5^11 - 1360384/169*c_1010_5^10 - 1919100/169*c_1010_5^9 - 2351168/169*c_1010_5^8 - 2495330/169*c_1010_5^7 - 2279424/169*c_1010_5^6 - 1771650/169*c_1010_5^5 - 88456/13*c_1010_5^4 - 604543/169*c_1010_5^3 - 244304/169*c_1010_5^2 - 68422/169*c_1010_5 - 10008/169, c_1010_5^20 + 14*c_1010_5^19 + 104*c_1010_5^18 + 532*c_1010_5^17 + 2074*c_1010_5^16 + 6496*c_1010_5^15 + 16868*c_1010_5^14 + 37048*c_1010_5^13 + 69739*c_1010_5^12 + 113478*c_1010_5^11 + 160432*c_1010_5^10 + 197508*c_1010_5^9 + 211634*c_1010_5^8 + 196712*c_1010_5^7 + 157524*c_1010_5^6 + 107432*c_1010_5^5 + 61265*c_1010_5^4 + 28358*c_1010_5^3 + 10124*c_1010_5^2 + 2524*c_1010_5 + 338 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.320 Total time: 0.530 seconds, Total memory usage: 32.09MB