Magma V2.19-8 Tue Aug 20 2013 17:56:56 on localhost [Seed = 1225325919] Type ? for help. Type -D to quit. Loading file "11_23__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation 11_23 geometric_solution 10.83430754 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 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 1 0 -1 0 0 0 0 0 -1 0 1 5 0 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.488276564769 0.575525418491 0 5 7 6 0132 0132 0132 0132 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 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.563957460353 0.555176530858 8 0 9 7 0132 0132 0132 3012 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.942442552146 0.511414511301 10 7 5 0 0132 3012 1023 0132 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.618021784502 1.255993440007 10 5 0 8 1302 1023 0132 1023 0 0 0 0 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 1 -1 5 0 0 -5 0 0 0 0 6 -5 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.142838362391 1.010325593718 4 1 3 9 1023 0132 1023 3120 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 0 0 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 0.815035078825 0.605527679384 8 10 1 11 1023 1302 0132 0132 0 0 0 0 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 -1 0 1 6 0 0 -6 1 0 0 -1 6 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.191843839177 0.567652354614 3 9 2 1 1230 3120 1230 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.786513058304 1.289313433618 2 6 11 4 0132 1023 2031 1023 0 0 0 0 0 -1 0 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 -6 1 5 0 0 -1 1 1 -1 0 0 0 -6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.848629309674 0.724935833703 5 7 11 2 3120 3120 3012 0132 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 0 0 0 0 0 0 0 0 0 0 0.149082990029 1.061527422420 3 4 11 6 0132 2031 3201 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 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 0 -6 0 6 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.550583578014 0.487943780332 10 9 6 8 2310 1230 0132 1302 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 -1 1 0 0 6 -6 1 0 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.689642781336 1.306049177377 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_11'], 'c_1001_10' : negation(d['c_0101_11']), 'c_1001_5' : d['c_0101_3'], 'c_1001_4' : negation(d['c_0011_7']), 'c_1001_7' : d['c_0011_11'], 'c_1001_6' : d['c_0101_3'], 'c_1001_1' : negation(d['c_0011_9']), 'c_1001_0' : negation(d['c_0101_7']), 'c_1001_3' : negation(d['c_0011_7']), 'c_1001_2' : negation(d['c_0011_7']), 'c_1001_9' : negation(d['c_0011_11']), 'c_1001_8' : d['c_0101_0'], 'c_1010_11' : d['c_0101_9'], 'c_1010_10' : d['c_0011_0'], 's_0_10' : d['1'], 's_3_10' : 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_0'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : 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' : negation(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_1100_8' : negation(d['c_0101_9']), 'c_1100_5' : negation(d['c_0101_9']), 'c_1100_4' : d['c_0101_9'], 'c_1100_7' : d['c_0101_8'], 'c_1100_6' : d['c_0101_8'], 'c_1100_1' : d['c_0101_8'], 'c_1100_0' : d['c_0101_9'], 'c_1100_3' : d['c_0101_9'], 'c_1100_2' : negation(d['c_0011_11']), 's_3_11' : d['1'], 'c_1100_11' : d['c_0101_8'], 'c_1100_10' : negation(d['c_0011_11']), 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_9']), 'c_1010_6' : d['c_0011_11'], 'c_1010_5' : negation(d['c_0011_9']), 'c_1010_4' : d['c_0101_2'], 'c_1010_3' : negation(d['c_0101_7']), 'c_1010_2' : negation(d['c_0101_7']), 'c_1010_1' : d['c_0101_3'], 'c_1010_0' : negation(d['c_0011_7']), 'c_1010_9' : negation(d['c_0011_7']), 'c_1010_8' : d['c_0101_11'], 's_3_1' : d['1'], 's_3_0' : negation(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'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : 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_0'], 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : d['c_0011_0'], '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' : negation(d['c_0101_0']), 'c_0110_10' : d['c_0101_3'], 'c_0110_0' : negation(d['c_0011_10']), 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0011_7']), 'c_0101_4' : negation(d['c_0011_10']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_10']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0101_8'], 'c_0011_10' : d['c_0011_10'], '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_1100_9' : negation(d['c_0011_11']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_8'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_11'], 'c_0110_7' : negation(d['c_0011_10']), 'c_0110_6' : d['c_0101_11']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_7, c_0011_9, c_0101_0, c_0101_11, c_0101_2, c_0101_3, c_0101_7, c_0101_8, c_0101_9 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t - 39800401752469000270995/13128839856101056808*c_0101_9^14 + 397075571784742831408053/26257679712202113616*c_0101_9^13 - 2064993382569036915043763/26257679712202113616*c_0101_9^12 + 21996430311599562409627/1544569394835418448*c_0101_9^11 - 99438433466246871440569/386142348708854612*c_0101_9^10 + 1393403498730081174191965/13128839856101056808*c_0101_9^9 - 2897373409600344094058985/6564419928050528404*c_0101_9^8 + 2255764954288501033791/12339135203102497*c_0101_9^7 - 18587666902995352900411/27581596336346758*c_0101_9^6 - 683755700262212687250503/26257679712202113616*c_0101_9^5 - 1689289713024210293844915/1875548550871579544*c_0101_9^4 - 163368013021958169978189/937774275435789772*c_0101_9^3 - 1162566414892540706433339/1641104982012632101*c_0101_9^2 - 4117447946299155562324981/26257679712202113616*c_0101_9 - 6814561875058840994607521/26257679712202113616, c_0011_0 - 1, c_0011_10 - 1397414793388173/55163192672693516*c_0101_9^14 + 3943027797877463/27581596336346758*c_0101_9^13 - 40473686390189175/55163192672693516*c_0101_9^12 + 7029639622039534/13790798168173379*c_0101_9^11 - 2938592871659447/1451662965070882*c_0101_9^10 + 56227469192007907/27581596336346758*c_0101_9^9 - 101885791796717129/27581596336346758*c_0101_9^8 + 85141172191194001/27581596336346758*c_0101_9^7 - 16921168749228013/2903325930141764*c_0101_9^6 + 106463320597757683/55163192672693516*c_0101_9^5 - 323858317170465413/55163192672693516*c_0101_9^4 + 58594579741770875/27581596336346758*c_0101_9^3 - 2970523464879828/725831482535441*c_0101_9^2 + 43448505500349965/55163192672693516*c_0101_9 - 10976742332435525/13790798168173379, c_0011_11 - 173776337636721/27581596336346758*c_0101_9^14 + 312075008919964/13790798168173379*c_0101_9^13 - 6021517662562621/55163192672693516*c_0101_9^12 - 14255240121802043/55163192672693516*c_0101_9^11 - 135603706233906/725831482535441*c_0101_9^10 - 10453235570358433/13790798168173379*c_0101_9^9 + 5011328672636399/27581596336346758*c_0101_9^8 - 20887566797686314/13790798168173379*c_0101_9^7 + 222531063260399/725831482535441*c_0101_9^6 - 66565842771696213/27581596336346758*c_0101_9^5 - 26606975128818731/55163192672693516*c_0101_9^4 - 66409037771959573/27581596336346758*c_0101_9^3 - 2884334029861973/2903325930141764*c_0101_9^2 - 99793122112600203/55163192672693516*c_0101_9 - 5771475615574767/55163192672693516, c_0011_7 + 1094902929124971/55163192672693516*c_0101_9^14 - 7090513014926989/55163192672693516*c_0101_9^13 + 18677504634720077/27581596336346758*c_0101_9^12 - 12835157352130377/13790798168173379*c_0101_9^11 + 3184215768206913/1451662965070882*c_0101_9^10 - 43663936840763480/13790798168173379*c_0101_9^9 + 138914770352841291/27581596336346758*c_0101_9^8 - 75417241210302888/13790798168173379*c_0101_9^7 + 20974195620213767/2903325930141764*c_0101_9^6 - 158893830474753411/27581596336346758*c_0101_9^5 + 359568583238588301/55163192672693516*c_0101_9^4 - 239170310088553789/55163192672693516*c_0101_9^3 + 11314640322671685/2903325930141764*c_0101_9^2 - 46978897348267281/27581596336346758*c_0101_9 + 9855278518513829/13790798168173379, c_0011_9 + 1549276414074137/55163192672693516*c_0101_9^14 - 4151789959132995/27581596336346758*c_0101_9^13 + 21682122565362019/27581596336346758*c_0101_9^12 - 24165375637866037/55163192672693516*c_0101_9^11 + 3778342484422879/1451662965070882*c_0101_9^10 - 55244143728848753/27581596336346758*c_0101_9^9 + 60969242078605461/13790798168173379*c_0101_9^8 - 91374077889608313/27581596336346758*c_0101_9^7 + 18742906609453975/2903325930141764*c_0101_9^6 - 62339207331977275/55163192672693516*c_0101_9^5 + 181024274252121023/27581596336346758*c_0101_9^4 + 12575727931689386/13790798168173379*c_0101_9^3 + 11204937749286997/2903325930141764*c_0101_9^2 + 2660566137043926/13790798168173379*c_0101_9 + 24666354572222743/55163192672693516, c_0101_0 - 338296063481056/13790798168173379*c_0101_9^14 + 6903676596067011/55163192672693516*c_0101_9^13 - 34327919201784523/55163192672693516*c_0101_9^12 + 1226229041751799/27581596336346758*c_0101_9^11 - 994593342988716/725831482535441*c_0101_9^10 + 26045804774337707/27581596336346758*c_0101_9^9 - 22712708017656444/13790798168173379*c_0101_9^8 + 11967830337974321/27581596336346758*c_0101_9^7 - 1958221929041098/725831482535441*c_0101_9^6 - 77835980315845727/55163192672693516*c_0101_9^5 - 33455725895832176/13790798168173379*c_0101_9^4 - 21285212236449833/55163192672693516*c_0101_9^3 - 372068050082647/2903325930141764*c_0101_9^2 - 36769226844467015/55163192672693516*c_0101_9 + 12716692873772761/27581596336346758, c_0101_11 + 338296063481056/13790798168173379*c_0101_9^14 - 6903676596067011/55163192672693516*c_0101_9^13 + 34327919201784523/55163192672693516*c_0101_9^12 - 1226229041751799/27581596336346758*c_0101_9^11 + 994593342988716/725831482535441*c_0101_9^10 - 26045804774337707/27581596336346758*c_0101_9^9 + 22712708017656444/13790798168173379*c_0101_9^8 - 11967830337974321/27581596336346758*c_0101_9^7 + 1958221929041098/725831482535441*c_0101_9^6 + 77835980315845727/55163192672693516*c_0101_9^5 + 33455725895832176/13790798168173379*c_0101_9^4 + 21285212236449833/55163192672693516*c_0101_9^3 + 372068050082647/2903325930141764*c_0101_9^2 + 36769226844467015/55163192672693516*c_0101_9 - 12716692873772761/27581596336346758, c_0101_2 + 81654711964225/13790798168173379*c_0101_9^14 - 2262117954175709/55163192672693516*c_0101_9^13 + 2593154653003435/13790798168173379*c_0101_9^12 - 9758573555565801/55163192672693516*c_0101_9^11 - 146913159253077/725831482535441*c_0101_9^10 - 6302813021134537/27581596336346758*c_0101_9^9 - 14730812272808391/27581596336346758*c_0101_9^8 + 24815665794138679/27581596336346758*c_0101_9^7 - 2314667214410189/1451662965070882*c_0101_9^6 + 58462517026143397/55163192672693516*c_0101_9^5 - 131562864011847235/55163192672693516*c_0101_9^4 - 39357562176929549/55163192672693516*c_0101_9^3 - 826238459110703/725831482535441*c_0101_9^2 - 3253391715542373/27581596336346758*c_0101_9 - 21176557391525325/55163192672693516, c_0101_3 - 101885595132435/13790798168173379*c_0101_9^14 + 2955209724748369/55163192672693516*c_0101_9^13 - 3969935209525454/13790798168173379*c_0101_9^12 + 29124146508812797/55163192672693516*c_0101_9^11 - 730814575512084/725831482535441*c_0101_9^10 + 43346488392222541/27581596336346758*c_0101_9^9 - 67361670774969213/27581596336346758*c_0101_9^8 + 75357302469820473/27581596336346758*c_0101_9^7 - 4684349656796345/1451662965070882*c_0101_9^6 + 138108315294864531/55163192672693516*c_0101_9^5 - 126134695831931073/55163192672693516*c_0101_9^4 + 98861685809158729/55163192672693516*c_0101_9^3 - 938717488688421/725831482535441*c_0101_9^2 + 15739568600597015/27581596336346758*c_0101_9 - 43458001020913243/55163192672693516, c_0101_7 + 177216300364440/13790798168173379*c_0101_9^14 - 2933133891536643/55163192672693516*c_0101_9^13 + 7306539569192425/27581596336346758*c_0101_9^12 + 16358605030751395/55163192672693516*c_0101_9^11 + 478161403439317/725831482535441*c_0101_9^10 + 17420780909885993/27581596336346758*c_0101_9^9 + 10208886011392051/27581596336346758*c_0101_9^8 + 31220873147180235/27581596336346758*c_0101_9^7 + 640868061417625/1451662965070882*c_0101_9^6 + 176696452112682315/55163192672693516*c_0101_9^5 + 97179198650369965/55163192672693516*c_0101_9^4 + 192779043209764385/55163192672693516*c_0101_9^3 + 884489624484961/1451662965070882*c_0101_9^2 + 31726636884671166/13790798168173379*c_0101_9 - 24385554611574217/55163192672693516, c_0101_8 + 81967938450548/13790798168173379*c_0101_9^14 - 352896470314733/55163192672693516*c_0101_9^13 + 2204942196714899/55163192672693516*c_0101_9^12 + 7546672700150237/13790798168173379*c_0101_9^11 + 384009415369169/725831482535441*c_0101_9^10 + 36061741711888971/27581596336346758*c_0101_9^9 + 815773025545982/13790798168173379*c_0101_9^8 + 40307384206924183/27581596336346758*c_0101_9^7 + 273394055683113/725831482535441*c_0101_9^6 + 182550244185305477/55163192672693516*c_0101_9^5 + 73628548575795695/27581596336346758*c_0101_9^4 + 215281458531586895/55163192672693516*c_0101_9^3 + 5676211907566415/2903325930141764*c_0101_9^2 + 88420787900672503/55163192672693516*c_0101_9 + 5408738891065455/13790798168173379, c_0101_9^15 - 5*c_0101_9^14 + 26*c_0101_9^13 - 5*c_0101_9^12 + 85*c_0101_9^11 - 36*c_0101_9^10 + 146*c_0101_9^9 - 62*c_0101_9^8 + 223*c_0101_9^7 + 6*c_0101_9^6 + 297*c_0101_9^5 + 54*c_0101_9^4 + 233*c_0101_9^3 + 49*c_0101_9^2 + 85*c_0101_9 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.710 Total time: 0.910 seconds, Total memory usage: 64.12MB