Magma V2.19-8 Wed Aug 21 2013 01:02:29 on localhost [Seed = 3415068732] Type ? for help. Type -D to quit. Loading file "L14n15028__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n15028 geometric_solution 12.20972879 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 1 1 1 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 -1 0 1 -1 0 0 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 0.319777329474 0.808935157953 0 5 7 6 0132 0132 0132 0132 1 1 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 -1 1 0 1 0 0 -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 0.525464846957 1.408548721209 8 0 9 7 0132 0132 0132 0132 1 1 0 1 0 0 0 0 0 0 0 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 1 0 -1 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 0.600139687114 1.237302112547 10 5 11 0 0132 1230 0132 0132 1 1 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.577368336930 1.069123979752 10 9 0 8 3120 1023 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 -1 1 0 0 -1 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 0.975160783816 0.723091299003 12 1 3 9 0132 0132 3012 2031 1 1 1 0 0 0 1 -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 1 0 -1 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 0.338335553629 0.490630685699 8 10 1 11 2103 2103 0132 3012 1 1 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 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 0 0 0 0 0.288492340590 0.704174212037 10 12 2 1 2103 1302 0132 0132 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 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 0.288492340590 0.704174212037 2 12 6 4 0132 0132 2103 1023 1 1 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 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 0 0 0 0 0 0.455889196812 0.621000508148 4 5 11 2 1023 1302 3012 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 0 0 0 0 0 0 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 0.542325776536 0.273536929243 3 6 7 4 0132 2103 2103 3120 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 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 0.214800213967 0.637585149927 12 9 6 3 2031 1230 1230 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.236491117031 0.731782948374 5 8 11 7 0132 0132 1302 2031 1 1 0 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 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 0.798169637781 0.910961053789 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0110_6'], 'c_1001_11' : d['c_1001_11'], 'c_1001_10' : d['c_0011_6'], 'c_1001_12' : d['c_0101_3'], 'c_1001_5' : d['c_0011_10'], 'c_1001_4' : d['c_0101_9'], 'c_1001_7' : d['c_0101_5'], 'c_1001_6' : d['c_0011_10'], 'c_1001_1' : d['c_0011_4'], 'c_1001_0' : d['c_0101_5'], 'c_1001_3' : d['c_0101_9'], 'c_1001_2' : d['c_0101_9'], 'c_1001_9' : negation(d['c_0011_11']), 'c_1001_8' : d['c_0011_6'], 'c_1010_12' : d['c_0011_6'], 'c_1010_11' : d['c_0101_9'], 'c_1010_10' : negation(d['c_0011_4']), 's_0_10' : negation(d['1']), 's_0_11' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : negation(d['1']), 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0011_4']), 'c_0101_10' : d['c_0101_0'], 's_2_0' : negation(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' : negation(d['1']), 's_2_7' : d['1'], 's_2_12' : d['1'], 's_2_10' : negation(d['1']), 's_2_11' : d['1'], 's_0_8' : negation(d['1']), 's_0_9' : d['1'], 's_0_6' : negation(d['1']), 's_0_7' : negation(d['1']), 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : negation(d['c_1001_11']), 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : negation(d['c_0011_0']), 'c_1100_5' : negation(d['c_0101_9']), 'c_1100_4' : d['c_0110_6'], 'c_1100_7' : negation(d['c_1001_11']), 'c_1100_6' : negation(d['c_1001_11']), 'c_1100_1' : negation(d['c_1001_11']), 'c_1100_0' : d['c_0110_6'], 'c_1100_3' : d['c_0110_6'], 'c_1100_2' : negation(d['c_1001_11']), 's_3_11' : d['1'], 'c_1100_11' : d['c_0110_6'], 'c_1100_10' : negation(d['c_0101_1']), 's_3_10' : d['1'], 'c_1010_7' : d['c_0011_4'], 'c_1010_6' : d['c_0011_4'], 'c_1010_5' : d['c_0011_4'], 'c_1010_4' : d['c_0101_2'], 'c_1010_3' : d['c_0101_5'], 'c_1010_2' : d['c_0101_5'], 'c_1010_1' : d['c_0011_10'], 'c_1010_0' : d['c_0101_9'], 'c_1010_9' : d['c_0101_9'], 'c_1010_8' : d['c_0101_3'], 's_3_1' : negation(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' : negation(d['1']), 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : negation(d['c_0011_4']), '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_4'], 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_6'], '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' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_3'], 'c_0110_10' : d['c_0101_3'], 'c_0110_12' : d['c_0101_5'], 'c_0101_12' : negation(d['c_0011_11']), 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_0'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0101_0'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_2'], 'c_0110_8' : d['c_0101_2'], '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_0'], 'c_0110_5' : negation(d['c_0011_11']), 'c_0110_4' : d['c_0101_3'], 'c_0110_7' : d['c_0101_1'], 'c_1100_8' : negation(d['c_0110_6'])})} 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_4, c_0011_6, c_0101_0, c_0101_1, c_0101_2, c_0101_3, c_0101_5, c_0101_9, c_0110_6, c_1001_11 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t + 2884941185253572696253466663/22226804340738413650033527*c_1001_11^1\ 3 - 12494438409673264565665717513/14817869560492275766689018*c_1001\ _11^12 + 253056480704873210038493600135/155587630385168895550234689\ *c_1001_11^11 - 83447617192469436165377777296/155587630385168895550\ 234689*c_1001_11^10 + 1269523961412474825603872837528/1555876303851\ 68895550234689*c_1001_11^9 + 2001442513422937107978090594995/311175\ 260770337791100469378*c_1001_11^8 + 4678793301139222331482949337391/311175260770337791100469378*c_1001_\ 11^7 + 1778114141056001932070426247601/155587630385168895550234689*\ c_1001_11^6 + 143226704234554260286536478289/1196827926039760735001\ 8053*c_1001_11^5 + 1126051176557166782280886414696/1555876303851688\ 95550234689*c_1001_11^4 + 1103824205857654392703286146745/311175260\ 770337791100469378*c_1001_11^3 + 73389966596665386565626142831/5186\ 2543461722965183411563*c_1001_11^2 - 35861035634793791274050823488/155587630385168895550234689*c_1001_11 + 6585170364439160604047085899/155587630385168895550234689, c_0011_0 - 1, c_0011_10 - 252426537800526096/332860032550451809*c_1001_11^13 + 1788082798716820767/332860032550451809*c_1001_11^12 - 8598510570331043117/665720065100903618*c_1001_11^11 + 4141863609669797697/332860032550451809*c_1001_11^10 - 38941329697175853651/665720065100903618*c_1001_11^9 - 1161046990492171415/665720065100903618*c_1001_11^8 - 34239397368250950340/332860032550451809*c_1001_11^7 - 11149831014824126831/665720065100903618*c_1001_11^6 - 4481538662557172373/51209235776992586*c_1001_11^5 - 98494395878314494/8996217095958157*c_1001_11^4 - 12497698372707909136/332860032550451809*c_1001_11^3 - 1279711287949989175/665720065100903618*c_1001_11^2 - 4019837036500327663/665720065100903618*c_1001_11 - 41558792841135735/332860032550451809, c_0011_11 + 262419751655278/692016699689089*c_1001_11^13 - 1311665735466128/692016699689089*c_1001_11^12 + 494640966366918/692016699689089*c_1001_11^11 + 10831160170593283/1384033399378178*c_1001_11^10 + 11924179443523153/692016699689089*c_1001_11^9 + 75585111544746889/1384033399378178*c_1001_11^8 + 74430251106467891/1384033399378178*c_1001_11^7 + 56329128322432204/692016699689089*c_1001_11^6 + 82116016823518135/1384033399378178*c_1001_11^5 + 70999390387151543/1384033399378178*c_1001_11^4 + 18397946339130639/692016699689089*c_1001_11^3 + 8484096737788136/692016699689089*c_1001_11^2 + 2558288053478923/1384033399378178*c_1001_11 + 866376483249817/1384033399378178, c_0011_4 - 6511458982145418/8996217095958157*c_1001_11^13 + 91507841511604805/17992434191916314*c_1001_11^12 - 109389140439050086/8996217095958157*c_1001_11^11 + 212179626176585823/17992434191916314*c_1001_11^10 - 992141782227036891/17992434191916314*c_1001_11^9 - 81836476595974261/8996217095958157*c_1001_11^8 - 1801192459631694105/17992434191916314*c_1001_11^7 - 746676634697103765/17992434191916314*c_1001_11^6 - 60492700426216138/692016699689089*c_1001_11^5 - 317621849338532002/8996217095958157*c_1001_11^4 - 650903673946845755/17992434191916314*c_1001_11^3 - 169771670749439531/17992434191916314*c_1001_11^2 - 44192430941347072/8996217095958157*c_1001_11 - 1116496611654512/8996217095958157, c_0011_6 - 30811021635829120/332860032550451809*c_1001_11^13 + 551917348924393977/665720065100903618*c_1001_11^12 - 844129622902253786/332860032550451809*c_1001_11^11 + 1598566697601469203/665720065100903618*c_1001_11^10 - 2926995745279080489/665720065100903618*c_1001_11^9 + 2402983663900768326/332860032550451809*c_1001_11^8 + 5238954035592244243/665720065100903618*c_1001_11^7 + 8269897313369253225/665720065100903618*c_1001_11^6 + 437025875431950691/25604617888496293*c_1001_11^5 + 49493551326193348/8996217095958157*c_1001_11^4 + 7356109936111443901/665720065100903618*c_1001_11^3 - 1134027726262325873/665720065100903618*c_1001_11^2 + 829031617134283944/332860032550451809*c_1001_11 - 552880317941816421/332860032550451809, c_0101_0 + 332990113055950511/665720065100903618*c_1001_11^13 - 2596972562354820349/665720065100903618*c_1001_11^12 + 3633991626192663832/332860032550451809*c_1001_11^11 - 8821876708696414697/665720065100903618*c_1001_11^10 + 13869601409478960085/332860032550451809*c_1001_11^9 - 15819172342785140505/665720065100903618*c_1001_11^8 + 38299508263245227007/665720065100903618*c_1001_11^7 - 11026101341033476599/332860032550451809*c_1001_11^6 + 1021810574134176468/25604617888496293*c_1001_11^5 - 247741814339164011/8996217095958157*c_1001_11^4 + 4762299330179319025/332860032550451809*c_1001_11^3 - 4259463293318913634/332860032550451809*c_1001_11^2 + 710726337082885018/332860032550451809*c_1001_11 - 1061548390941924393/665720065100903618, c_0101_1 - 1, c_0101_2 + 5896271728132744/8996217095958157*c_1001_11^13 - 35497042432682138/8996217095958157*c_1001_11^12 + 56948445963458524/8996217095958157*c_1001_11^11 + 3050557417461765/17992434191916314*c_1001_11^10 + 381270415509953379/8996217095958157*c_1001_11^9 + 898731661794112443/17992434191916314*c_1001_11^8 + 1833022214043165545/17992434191916314*c_1001_11^7 + 846135771632838160/8996217095958157*c_1001_11^6 + 143303717483142297/1384033399378178*c_1001_11^5 + 1194069046704850421/17992434191916314*c_1001_11^4 + 420113989811749335/8996217095958157*c_1001_11^3 + 154123382402911534/8996217095958157*c_1001_11^2 + 141055650963835509/17992434191916314*c_1001_11 + 12447904552147151/17992434191916314, c_0101_3 - 16191182042830879/17992434191916314*c_1001_11^13 + 115193814577486939/17992434191916314*c_1001_11^12 - 275742052881916321/17992434191916314*c_1001_11^11 + 246967172964543151/17992434191916314*c_1001_11^10 - 1187271087980399109/17992434191916314*c_1001_11^9 - 27804238500318099/8996217095958157*c_1001_11^8 - 1972689933519102801/17992434191916314*c_1001_11^7 - 357096315250337677/17992434191916314*c_1001_11^6 - 129145068789936639/1384033399378178*c_1001_11^5 - 143180477432404340/8996217095958157*c_1001_11^4 - 379422416071201986/8996217095958157*c_1001_11^3 - 48136918627876919/17992434191916314*c_1001_11^2 - 148274900339369669/17992434191916314*c_1001_11 - 256506259190237/17992434191916314, c_0101_5 + 384290029578265895/665720065100903618*c_1001_11^13 - 1454535820065449541/332860032550451809*c_1001_11^12 + 3988546708018648717/332860032550451809*c_1001_11^11 - 10136841402133432665/665720065100903618*c_1001_11^10 + 33668795470317476039/665720065100903618*c_1001_11^9 - 6519756383303471294/332860032550451809*c_1001_11^8 + 57893669225926059295/665720065100903618*c_1001_11^7 - 8540620737119261855/665720065100903618*c_1001_11^6 + 4058278589691845709/51209235776992586*c_1001_11^5 - 106749009925152445/17992434191916314*c_1001_11^4 + 25742085913970578065/665720065100903618*c_1001_11^3 - 1100210167500860953/665720065100903618*c_1001_11^2 + 5808924035562480763/665720065100903618*c_1001_11 + 37157218321731575/332860032550451809, c_0101_9 - 11599724166628927/17992434191916314*c_1001_11^13 + 38317613695373474/8996217095958157*c_1001_11^12 - 80166737883327944/8996217095958157*c_1001_11^11 + 113060396904578645/17992434191916314*c_1001_11^10 - 859910397629947477/17992434191916314*c_1001_11^9 - 181922602318182705/8996217095958157*c_1001_11^8 - 1794185836377403757/17992434191916314*c_1001_11^7 - 792292107967592471/17992434191916314*c_1001_11^6 - 131909195907734769/1384033399378178*c_1001_11^5 - 523444443229912667/17992434191916314*c_1001_11^4 - 731407345256008077/17992434191916314*c_1001_11^3 - 86145380558448763/17992434191916314*c_1001_11^2 - 96794552355173349/17992434191916314*c_1001_11 + 4778360804646484/8996217095958157, c_0110_6 - 927770138835393/8996217095958157*c_1001_11^13 + 7431036172147469/17992434191916314*c_1001_11^12 + 4889356857316108/8996217095958157*c_1001_11^11 - 34351016671026681/8996217095958157*c_1001_11^10 - 66981901323654743/17992434191916314*c_1001_11^9 - 381970540709730745/17992434191916314*c_1001_11^8 - 125614762179439817/8996217095958157*c_1001_11^7 - 509236707519111055/17992434191916314*c_1001_11^6 - 15158575416461461/1384033399378178*c_1001_11^5 - 261199636555941405/17992434191916314*c_1001_11^4 - 53636225641345749/17992434191916314*c_1001_11^3 - 23400797970447171/17992434191916314*c_1001_11^2 + 4882558271427631/17992434191916314*c_1001_11 + 15679408185797617/17992434191916314, c_1001_11^14 - 7*c_1001_11^13 + 116/7*c_1001_11^12 - 111/7*c_1001_11^11 + 543/7*c_1001_11^10 + 53/7*c_1001_11^9 + 1018/7*c_1001_11^8 + 263/7*c_1001_11^7 + 946/7*c_1001_11^6 + 209/7*c_1001_11^5 + 63*c_1001_11^4 + 44/7*c_1001_11^3 + 82/7*c_1001_11^2 - 2/7*c_1001_11 + 1/7 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.100 Total time: 0.310 seconds, Total memory usage: 32.09MB