Magma V2.19-8 Wed Aug 21 2013 01:14:01 on localhost [Seed = 1679981267] Type ? for help. Type -D to quit. Loading file "L14n994__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n994 geometric_solution 11.77153084 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 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 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 0.515500128510 0.663007206802 0 5 6 2 0132 0132 0132 0213 0 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 0 -1 1 -3 0 2 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.269124788549 0.940010497892 7 0 8 1 0132 0132 0132 0213 0 1 1 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 0 -1 1 0 0 2 -2 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.269124788549 0.940010497892 9 6 8 0 0132 0213 0321 0132 0 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 0 0 0 0 0 1 -1 0 0 0 0 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.269124788549 0.940010497892 10 6 0 5 0132 0132 0132 0132 0 1 1 1 0 0 -1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.718502815666 0.983225327654 10 1 4 8 1230 0132 0132 0321 0 1 1 1 0 0 -1 1 0 0 0 0 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 -1 0 1 0 0 0 0 -2 -1 0 3 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.269124788549 0.940010497892 11 4 3 1 0132 0132 0213 0132 0 1 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 0 0 0 0 0 0 -1 0 0 1 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.718502815666 0.983225327654 2 9 12 11 0132 3120 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.467526190157 0.526422998590 11 5 3 2 1023 0321 0321 0132 0 1 1 1 0 -1 0 1 0 0 -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 -1 0 1 0 0 2 -2 3 -3 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.491189480674 0.376863830822 3 7 12 10 0132 3120 1023 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 -0.296441346929 0.698867822937 4 5 9 11 0132 3012 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 0 0 0 0 0 0 0 0 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.092209007217 0.824366787196 6 8 10 7 0132 1023 0132 1023 1 1 1 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 0 0 0 0 0 0 0 0 0 0 0 3 -3 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.462588495053 0.973957416385 12 12 9 7 1230 3012 1023 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 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 1.656323417874 1.277706030475 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0101_10']), 'c_1001_10' : negation(d['c_0011_0']), 'c_1001_12' : negation(d['c_0011_12']), 'c_1001_5' : d['c_1001_3'], 'c_1001_4' : d['c_1001_1'], 'c_1001_7' : negation(d['c_0101_12']), 'c_1001_6' : d['c_1001_3'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_1001_1'], 'c_1001_9' : d['c_0101_12'], 'c_1001_8' : d['c_1001_8'], 'c_1010_12' : negation(d['c_0101_12']), 'c_1010_11' : d['c_0101_2'], 'c_1010_10' : negation(d['c_0101_10']), '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_1'], 'c_0101_10' : d['c_0101_10'], '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' : negation(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' : 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_1100_9' : d['c_1100_10'], 'c_1100_8' : d['c_1001_3'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_1001_8'], 'c_1100_4' : d['c_1001_8'], 'c_1100_7' : negation(d['c_1100_10']), 'c_1100_6' : d['c_1001_0'], 'c_1100_1' : d['c_1001_0'], 'c_1100_0' : d['c_1001_8'], 'c_1100_3' : d['c_1001_8'], 'c_1100_2' : d['c_1001_3'], 's_3_11' : d['1'], 'c_1100_11' : d['c_1100_10'], 'c_1100_10' : d['c_1100_10'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0011_3'], 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_1001_3'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_3'], 'c_1010_0' : d['c_1001_1'], 'c_1010_9' : negation(d['c_0011_0']), 'c_1010_8' : d['c_1001_1'], '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' : negation(d['1']), 's_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : negation(d['c_1100_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' : 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' : negation(d['c_0011_3']), 'c_0011_8' : negation(d['c_0011_10']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : 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_3'], 'c_0110_10' : d['c_0101_1'], 'c_0110_12' : d['c_0011_12'], 'c_0101_12' : d['c_0101_12'], 'c_0011_11' : negation(d['c_0011_10']), 'c_0101_7' : d['c_0011_12'], 'c_0101_6' : d['c_0011_3'], 'c_0101_5' : d['c_0101_10'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_10'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_12']), 'c_0101_9' : negation(d['c_0011_12']), 'c_0101_8' : negation(d['c_0101_10']), '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' : d['c_0101_10'], 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : negation(d['c_0011_12']), 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0011_12']), 'c_0110_2' : d['c_0011_12'], 'c_0110_5' : d['c_0011_10'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_2'], 'c_0110_6' : d['c_0101_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_12, c_0011_3, c_0101_1, c_0101_10, c_0101_12, c_0101_2, c_1001_0, c_1001_1, c_1001_3, c_1001_8, c_1100_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 229106879077/146162704*c_1100_10^5 + 5998675925229/2996335432*c_1100_10^4 - 4044070738090/374541929*c_1100_10^3 - 3110702463905/749083858*c_1100_10^2 - 1905613109679/5992670864*c_1100_10 + 475350998689/2996335432, c_0011_0 - 1, c_0011_10 + 3787/2297*c_1100_10^5 - 127724/94177*c_1100_10^4 + 959107/94177*c_1100_10^3 + 936842/94177*c_1100_10^2 + 1675/2297*c_1100_10 + 42036/94177, c_0011_12 + 3787/4594*c_1100_10^5 - 63862/94177*c_1100_10^4 + 959107/188354*c_1100_10^3 + 468421/94177*c_1100_10^2 - 311/2297*c_1100_10 + 21018/94177, c_0011_3 + 37621/4594*c_1100_10^5 - 2411823/188354*c_1100_10^4 + 5652493/94177*c_1100_10^3 + 859913/188354*c_1100_10^2 + 1555/4594*c_1100_10 - 52545/94177, c_0101_1 - 7574/2297*c_1100_10^5 + 255448/94177*c_1100_10^4 - 1918214/94177*c_1100_10^3 - 1873684/94177*c_1100_10^2 - 3350/2297*c_1100_10 + 10105/94177, c_0101_10 - 3159/4594*c_1100_10^5 + 36958/94177*c_1100_10^4 - 431500/94177*c_1100_10^3 - 417128/94177*c_1100_10^2 - 20085/4594*c_1100_10 - 18776/94177, c_0101_12 - 4415/9188*c_1100_10^5 + 45383/94177*c_1100_10^4 - 527607/188354*c_1100_10^3 - 259857/94177*c_1100_10^2 + 12141/9188*c_1100_10 - 11630/94177, c_0101_2 - 7574/2297*c_1100_10^5 + 255448/94177*c_1100_10^4 - 1918214/94177*c_1100_10^3 - 1873684/94177*c_1100_10^2 - 3350/2297*c_1100_10 + 10105/94177, c_1001_0 - 1, c_1001_1 + 9388/2297*c_1100_10^5 - 2307535/376708*c_1100_10^4 + 2750387/94177*c_1100_10^3 + 422634/94177*c_1100_10^2 - 4400/2297*c_1100_10 - 145173/376708, c_1001_3 + 7574/2297*c_1100_10^5 - 255448/94177*c_1100_10^4 + 1918214/94177*c_1100_10^3 + 1873684/94177*c_1100_10^2 + 5647/2297*c_1100_10 - 10105/94177, c_1001_8 - 7574/2297*c_1100_10^5 + 255448/94177*c_1100_10^4 - 1918214/94177*c_1100_10^3 - 1873684/94177*c_1100_10^2 - 5647/2297*c_1100_10 + 10105/94177, c_1100_10^6 - 58/41*c_1100_10^5 + 291/41*c_1100_10^4 + 68/41*c_1100_10^3 + 3/41*c_1100_10^2 - 2/41*c_1100_10 + 1/41 ], Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_12, c_0011_3, c_0101_1, c_0101_10, c_0101_12, c_0101_2, c_1001_0, c_1001_1, c_1001_3, c_1001_8, c_1100_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 2072793139156587/167940352708655249408*c_1100_10^7 - 39861976993988861/83970176354327624704*c_1100_10^6 - 591317742378706361/167940352708655249408*c_1100_10^5 - 45789780837042531/5997869739594830336*c_1100_10^4 + 2071582113819865295/167940352708655249408*c_1100_10^3 + 8690111858482995231/83970176354327624704*c_1100_10^2 + 54292962779904953165/167940352708655249408*c_1100_10 + 1327062690679266173/2624068011072738272, c_0011_0 - 1, c_0011_10 + 234164935/37382016227032*c_1100_10^7 + 14705765579/18691008113516*c_1100_10^6 + 815949240541/37382016227032*c_1100_10^5 + 620648345900/4672752028379*c_1100_10^4 + 15556342438013/37382016227032*c_1100_10^3 + 15913414798203/18691008113516*c_1100_10^2 + 50461133724559/37382016227032*c_1100_10 + 7961066748713/9345504056758, c_0011_12 - 1477123665/4672752028379*c_1100_10^7 - 57043651853/4672752028379*c_1100_10^6 - 913300748167/9345504056758*c_1100_10^5 - 3945385068955/9345504056758*c_1100_10^4 - 5725029422150/4672752028379*c_1100_10^3 - 22805206706193/9345504056758*c_1100_10^2 - 26862830822959/9345504056758*c_1100_10 - 13142367569358/4672752028379, c_0011_3 - 3802328925/18691008113516*c_1100_10^7 - 39252350403/4672752028379*c_1100_10^6 - 1556950268289/18691008113516*c_1100_10^5 - 1923511291876/4672752028379*c_1100_10^4 - 21602651073877/18691008113516*c_1100_10^3 - 9342823720335/4672752028379*c_1100_10^2 - 40102076449017/18691008113516*c_1100_10 - 6683230146084/4672752028379, c_0101_1 - 1, c_0101_10 - 881873045/4672752028379*c_1100_10^7 - 34178777693/4672752028379*c_1100_10^6 - 539060933429/9345504056758*c_1100_10^5 - 912015062126/4672752028379*c_1100_10^4 - 1238172041824/4672752028379*c_1100_10^3 - 792388719176/4672752028379*c_1100_10^2 + 771708565555/9345504056758*c_1100_10 + 820025816525/4672752028379, c_0101_12 - 1063554007/18691008113516*c_1100_10^7 - 9966080244/4672752028379*c_1100_10^6 - 67552422701/4672752028379*c_1100_10^5 - 147332982672/4672752028379*c_1100_10^4 + 1018508089125/18691008113516*c_1100_10^3 + 2525629687614/4672752028379*c_1100_10^2 + 8865558387979/9345504056758*c_1100_10 + 2307225204642/4672752028379, c_0101_2 + 234164935/18691008113516*c_1100_10^7 + 14705765579/9345504056758*c_1100_10^6 + 815949240541/18691008113516*c_1100_10^5 + 1241296691800/4672752028379*c_1100_10^4 + 15556342438013/18691008113516*c_1100_10^3 + 15913414798203/9345504056758*c_1100_10^2 + 50461133724559/18691008113516*c_1100_10 + 12633818777092/4672752028379, c_1001_0 - 1, c_1001_1 - 13384087673/74764032454064*c_1100_10^7 - 256193901263/37382016227032*c_1100_10^6 - 4001154629083/74764032454064*c_1100_10^5 - 2246061163741/9345504056758*c_1100_10^4 - 58674640340243/74764032454064*c_1100_10^3 - 57967131760023/37382016227032*c_1100_10^2 - 140181857548225/74764032454064*c_1100_10 - 36160972083539/18691008113516, c_1001_3 - 234164935/37382016227032*c_1100_10^7 - 14705765579/18691008113516*c_1100_10^6 - 815949240541/37382016227032*c_1100_10^5 - 620648345900/4672752028379*c_1100_10^4 - 15556342438013/37382016227032*c_1100_10^3 - 15913414798203/18691008113516*c_1100_10^2 - 50461133724559/37382016227032*c_1100_10 - 17306570805471/9345504056758, c_1001_8 - 234164935/37382016227032*c_1100_10^7 - 14705765579/18691008113516*c_1100_10^6 - 815949240541/37382016227032*c_1100_10^5 - 620648345900/4672752028379*c_1100_10^4 - 15556342438013/37382016227032*c_1100_10^3 - 15913414798203/18691008113516*c_1100_10^2 - 50461133724559/37382016227032*c_1100_10 - 17306570805471/9345504056758, c_1100_10^8 + 42*c_1100_10^7 + 435*c_1100_10^6 + 2192*c_1100_10^5 + 6755*c_1100_10^4 + 14522*c_1100_10^3 + 22465*c_1100_10^2 + 24092*c_1100_10 + 20608 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.280 Total time: 0.480 seconds, Total memory usage: 32.09MB