Magma V2.19-8 Wed Aug 21 2013 01:03:33 on localhost [Seed = 3086069637] Type ? for help. Type -D to quit. Loading file "L14n20452__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n20452 geometric_solution 11.03618138 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 0 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 0.763865111736 0.613001389211 0 5 5 6 0132 0132 3120 0132 1 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 3 -3 0 0 0 0 -1 -3 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.377663540605 1.364502839472 3 0 8 7 0321 0132 0132 0132 1 0 1 1 0 0 0 0 -2 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.954992387078 0.468791433206 2 8 9 0 0321 3201 0132 0132 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 -1 -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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.074554504377 0.867468419735 9 7 0 10 1023 3012 0132 0132 1 1 0 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 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 0.204962269825 0.519281187855 6 1 1 9 0213 0132 3120 3012 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 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.661625429397 1.042586164479 5 11 1 11 0213 0132 0132 2310 1 1 1 1 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 1 3 -4 0 0 0 0 0 0 0 0 0 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.172739979605 1.296536559342 4 8 2 10 1230 3120 0132 0321 1 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 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 0.625230295493 0.729393875729 12 7 3 2 0132 3120 2310 0132 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 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 1.075726619778 1.098597837363 12 4 5 3 2310 1023 1230 0132 1 1 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.280082104202 0.436497869522 12 7 4 11 3201 0321 0132 1302 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 1.030331630669 1.425124970375 6 6 10 12 3201 0132 2031 3201 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 -1 0 1 0 0 0 0 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.220758004219 0.245849873088 8 11 9 10 0132 2310 3201 2310 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 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 -0.872869613593 2.128858761352 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0110_10']), 'c_1001_10' : d['c_0011_3'], 'c_1001_12' : negation(d['c_0101_9']), 'c_1001_5' : d['c_0101_9'], 'c_1001_4' : negation(d['c_0011_7']), 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : d['c_0101_9'], 'c_1001_1' : negation(d['c_0101_9']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0101_10'], 'c_1001_2' : negation(d['c_0011_7']), 'c_1001_9' : d['c_0101_1'], 'c_1001_8' : negation(d['c_1001_0']), 'c_1010_12' : negation(d['c_0110_10']), 'c_1010_11' : d['c_0101_9'], 'c_1010_10' : d['c_0011_12'], 's_3_11' : 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' : 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' : 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' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : d['c_0101_11'], 'c_1100_8' : d['c_0011_3'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0101_1']), 'c_1100_4' : d['c_0101_11'], 'c_1100_7' : d['c_0011_3'], 'c_1100_6' : d['c_0011_11'], 'c_1100_1' : d['c_0011_11'], 'c_1100_0' : d['c_0101_11'], 'c_1100_3' : d['c_0101_11'], 'c_1100_2' : d['c_0011_3'], 's_0_10' : d['1'], 'c_1100_11' : negation(d['c_0011_12']), 'c_1100_10' : d['c_0101_11'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0011_12'], 'c_1010_6' : negation(d['c_0110_10']), 'c_1010_5' : negation(d['c_0101_9']), 'c_1010_4' : d['c_0011_3'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0101_9'], 'c_1010_0' : negation(d['c_0011_7']), 'c_1010_9' : d['c_0101_10'], 'c_1010_8' : negation(d['c_0011_7']), 's_3_1' : d['1'], 's_3_0' : 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'], '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' : d['1'], 's_1_1' : d['1'], 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_10']), 'c_0011_8' : negation(d['c_0011_12']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : negation(d['c_0011_11']), '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_0110_10'], 'c_0110_10' : d['c_0110_10'], 'c_0110_12' : negation(d['c_0101_10']), 'c_0101_12' : d['c_0101_12'], 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : negation(d['c_0011_3']), 'c_0101_6' : d['c_0011_0'], 'c_0101_5' : negation(d['c_0011_11']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0101_12']), 'c_0101_2' : d['c_0101_12'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_0'], 'c_0101_9' : d['c_0101_9'], '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' : negation(d['c_0101_12']), 'c_0110_8' : d['c_0101_12'], 'c_0110_1' : d['c_0011_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_0'], 'c_0110_2' : negation(d['c_0011_3']), 'c_0110_5' : d['c_0101_11'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : negation(d['c_0011_10']), 'c_0110_6' : negation(d['c_0101_11'])})} 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_12, c_0011_3, c_0011_7, c_0101_1, c_0101_10, c_0101_11, c_0101_12, c_0101_9, c_0110_10, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t + 8247044698669561384/13927786876236895475*c_1001_0^12 - 28513999877730216156/13927786876236895475*c_1001_0^11 + 2813571248629651372/13927786876236895475*c_1001_0^10 + 51123735105424229258/13927786876236895475*c_1001_0^9 + 28602836647609515952/13927786876236895475*c_1001_0^8 - 239620730485918708679/13927786876236895475*c_1001_0^7 + 386334828075206418656/13927786876236895475*c_1001_0^6 - 63265568610960730386/2785557375247379095*c_1001_0^5 + 55054723952739607111/13927786876236895475*c_1001_0^4 + 90239519163571424358/13927786876236895475*c_1001_0^3 + 16896424386568314424/13927786876236895475*c_1001_0^2 - 78497293605251693618/13927786876236895475*c_1001_0 + 23873386226137397262/13927786876236895475, c_0011_0 - 1, c_0011_10 + 782228988/6815223583*c_1001_0^12 - 8233195276/6815223583*c_1001_0^11 - 2044877274/6815223583*c_1001_0^10 + 10204234240/6815223583*c_1001_0^9 + 6979711383/6815223583*c_1001_0^8 - 6180966295/973603369*c_1001_0^7 + 76527911715/6815223583*c_1001_0^6 - 75404821423/6815223583*c_1001_0^5 + 6437516542/6815223583*c_1001_0^4 + 14840059410/6815223583*c_1001_0^3 + 850515130/973603369*c_1001_0^2 - 2508842465/6815223583*c_1001_0 + 21103163380/6815223583, c_0011_11 - 1395126012/973603369*c_1001_0^12 + 87478284/973603369*c_1001_0^11 + 1678490274/973603369*c_1001_0^10 + 260604828/973603369*c_1001_0^9 - 6543476439/973603369*c_1001_0^8 + 12648750827/973603369*c_1001_0^7 - 14260325681/973603369*c_1001_0^6 + 5464068094/973603369*c_1001_0^5 - 1599593443/973603369*c_1001_0^4 + 2746939339/973603369*c_1001_0^3 - 462206621/973603369*c_1001_0^2 + 2639603653/973603369*c_1001_0 + 629867427/973603369, c_0011_12 + 1079518012/973603369*c_1001_0^12 - 142392732/973603369*c_1001_0^11 - 1046324098/973603369*c_1001_0^10 - 591223308/973603369*c_1001_0^9 + 4570045143/973603369*c_1001_0^8 - 9451782899/973603369*c_1001_0^7 + 13407537977/973603369*c_1001_0^6 - 9541679528/973603369*c_1001_0^5 + 6975199449/973603369*c_1001_0^4 - 4584930945/973603369*c_1001_0^3 - 167343753/973603369*c_1001_0^2 - 1470661061/973603369*c_1001_0 + 889574955/973603369, c_0011_3 + 19162609280/6815223583*c_1001_0^12 - 15745331732/6815223583*c_1001_0^11 - 25053084100/6815223583*c_1001_0^10 + 14440089222/6815223583*c_1001_0^9 + 93114851352/6815223583*c_1001_0^8 - 34163336599/973603369*c_1001_0^7 + 320734519099/6815223583*c_1001_0^6 - 201242241079/6815223583*c_1001_0^5 + 24527153892/6815223583*c_1001_0^4 + 3049482399/6815223583*c_1001_0^3 + 456557432/973603369*c_1001_0^2 - 34123410133/6815223583*c_1001_0 + 30839975233/6815223583, c_0011_7 - 3463330080/973603369*c_1001_0^12 - 350636104/973603369*c_1001_0^11 + 4579791576/973603369*c_1001_0^10 + 2072834096/973603369*c_1001_0^9 - 15731391100/973603369*c_1001_0^8 + 27813261028/973603369*c_1001_0^7 - 30323162770/973603369*c_1001_0^6 + 7476755749/973603369*c_1001_0^5 + 671471093/973603369*c_1001_0^4 + 5459237584/973603369*c_1001_0^3 + 2028180569/973603369*c_1001_0^2 + 6481464326/973603369*c_1001_0 - 271040564/973603369, c_0101_1 + 1911980284/973603369*c_1001_0^12 + 381416664/973603369*c_1001_0^11 - 2683786514/973603369*c_1001_0^10 - 947464202/973603369*c_1001_0^9 + 8955215509/973603369*c_1001_0^8 - 15064493024/973603369*c_1001_0^7 + 13892964531/973603369*c_1001_0^6 + 955140685/973603369*c_1001_0^5 - 5125688748/973603369*c_1001_0^4 + 429084318/973603369*c_1001_0^3 - 1710946732/973603369*c_1001_0^2 - 4046366242/973603369*c_1001_0 - 39230873/973603369, c_0101_10 + 9270509548/6815223583*c_1001_0^12 - 18938354492/6815223583*c_1001_0^11 - 10842543842/6815223583*c_1001_0^10 + 23964697692/6815223583*c_1001_0^9 + 46925381975/6815223583*c_1001_0^8 - 24638096009/973603369*c_1001_0^7 + 258587047203/6815223583*c_1001_0^6 - 203128380444/6815223583*c_1001_0^5 + 35910620003/6815223583*c_1001_0^4 + 17971652919/6815223583*c_1001_0^3 + 1070439020/973603369*c_1001_0^2 - 11393369185/6815223583*c_1001_0 + 35048977139/6815223583, c_0101_11 + 1169933132/973603369*c_1001_0^12 + 166452192/973603369*c_1001_0^11 - 1720347090/973603369*c_1001_0^10 - 990153114/973603369*c_1001_0^9 + 5462145361/973603369*c_1001_0^8 - 8724565660/973603369*c_1001_0^7 + 9292229103/973603369*c_1001_0^6 - 1873071930/973603369*c_1001_0^5 - 622560340/973603369*c_1001_0^4 - 2314305639/973603369*c_1001_0^3 - 849784753/973603369*c_1001_0^2 - 2618272885/973603369*c_1001_0 + 749035635/973603369, c_0101_12 - 1, c_0101_9 + 1190345608/973603369*c_1001_0^12 + 548891976/973603369*c_1001_0^11 - 1861501292/973603369*c_1001_0^10 - 1233850732/973603369*c_1001_0^9 + 5801508454/973603369*c_1001_0^8 - 7562427404/973603369*c_1001_0^7 + 4959053234/973603369*c_1001_0^6 + 3789550101/973603369*c_1001_0^5 - 3732997485/973603369*c_1001_0^4 - 2076948839/973603369*c_1001_0^3 + 596107924/973603369*c_1001_0^2 - 2937892882/973603369*c_1001_0 - 885012413/973603369, c_0110_10 - 1666932024/973603369*c_1001_0^12 - 519409376/973603369*c_1001_0^11 + 2735759508/973603369*c_1001_0^10 + 1014352556/973603369*c_1001_0^9 - 8509327594/973603369*c_1001_0^8 + 11977685908/973603369*c_1001_0^7 - 8442405354/973603369*c_1001_0^6 - 6109486666/973603369*c_1001_0^5 + 8045745432/973603369*c_1001_0^4 - 891100170/973603369*c_1001_0^3 + 1107170262/973603369*c_1001_0^2 + 2955964538/973603369*c_1001_0 + 793848945/973603369, c_1001_0^13 - c_1001_0^12 - 3/2*c_1001_0^11 + c_1001_0^10 + 21/4*c_1001_0^9 - 53/4*c_1001_0^8 + 69/4*c_1001_0^7 - 21/2*c_1001_0^6 + 1/4*c_1001_0^5 + 1/4*c_1001_0^4 + 3/4*c_1001_0^3 - 3/2*c_1001_0^2 + 2*c_1001_0 + 1/4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.190 Total time: 0.400 seconds, Total memory usage: 32.09MB