Magma V2.19-8 Wed Aug 21 2013 00:52:44 on localhost [Seed = 3869307730] Type ? for help. Type -D to quit. Loading file "L12n1056__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n1056 geometric_solution 12.50503674 oriented_manifold CS_known -0.0000000000000003 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 2 3 0132 0132 3201 0132 1 0 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 1 0 -1 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 0.957170185383 0.741809658663 0 2 5 4 0132 0213 0132 0132 1 0 0 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 -1 0 1 0 2 0 0 -2 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.730283587264 0.837723965986 0 0 1 3 2310 0132 0213 0213 1 0 0 1 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 0 0 1 1 -1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.347290360077 0.505851856432 4 5 0 2 0132 0132 0132 0213 1 0 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 -1 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 0.730283587264 0.837723965986 3 6 1 7 0132 0132 0132 0132 1 0 1 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 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.588432973863 1.058622507639 7 3 6 1 0132 0132 0132 0132 1 0 1 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 -1 1 0 0 0 1 -1 -1 0 0 1 -1 -1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.588432973863 1.058622507639 8 4 9 5 0132 0132 0132 0132 1 0 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 0 1 -1 1 0 0 -1 0 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.646818814576 0.600543808988 5 10 4 11 0132 0132 0132 0132 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 0 0 0 0 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 0.646818814576 0.600543808988 6 10 12 11 0132 1023 0132 0321 1 0 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 0 0 0 1 -6 5 -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 0.395591593451 0.683274173831 12 10 11 6 1230 0321 0132 0132 1 0 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 6 -5 -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 0.723000947476 0.686906641381 8 7 12 9 1023 0132 0321 0321 1 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 0 0 0 0 6 -6 -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 0.723000947476 0.686906641381 12 8 7 9 0132 0321 0132 0132 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 0 0 0 0 0 0 0 0 -5 0 5 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 0.395591593451 0.683274173831 11 9 10 8 0132 3012 0321 0132 1 0 0 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 -6 6 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 -0.188039528249 1.011011176432 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_10'], 'c_1001_10' : d['c_1001_10'], 'c_1001_12' : negation(d['c_0011_9']), 'c_1001_5' : d['c_1001_4'], 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : d['c_1001_6'], 'c_1001_6' : d['c_1001_6'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0011_0'], 'c_1001_3' : d['c_1001_1'], 'c_1001_2' : d['c_1001_1'], 'c_1001_9' : negation(d['c_0011_9']), 'c_1001_8' : d['c_0101_10'], 'c_1010_12' : d['c_0101_10'], 'c_1010_11' : negation(d['c_0011_9']), 'c_1010_10' : d['c_1001_6'], 's_0_10' : d['1'], 's_0_11' : 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' : negation(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' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_11' : d['c_0011_11'], 'c_1100_8' : d['c_1001_10'], 'c_0011_12' : negation(d['c_0011_11']), 'c_1100_5' : d['c_1100_1'], 'c_1100_4' : d['c_1100_1'], 'c_1100_7' : d['c_1100_1'], 'c_1100_6' : d['c_1100_1'], 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : d['c_1001_4'], 's_3_11' : d['1'], 'c_1100_11' : d['c_1100_1'], 'c_1100_10' : negation(d['c_0011_9']), 's_3_10' : d['1'], 'c_1010_7' : d['c_1001_10'], 'c_1010_6' : d['c_1001_4'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_1001_6'], 'c_1010_3' : d['c_1001_4'], 'c_1010_2' : d['c_0011_0'], 'c_1010_1' : d['c_1001_4'], 'c_1010_0' : d['c_1001_1'], 'c_1010_9' : d['c_1001_6'], 'c_1010_8' : negation(d['c_0011_9']), 's_3_1' : negation(d['1']), 's_3_0' : d['1'], 's_3_3' : negation(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' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : d['c_1001_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' : d['c_0011_10'], 'c_0011_5' : d['c_0011_10'], 'c_0011_4' : d['c_0011_10'], 'c_0011_7' : negation(d['c_0011_10']), 'c_0011_6' : negation(d['c_0011_10']), '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_10']), 'c_0110_10' : negation(d['c_0011_9']), 'c_0110_12' : d['c_0101_11'], 'c_0101_12' : negation(d['c_0101_10']), 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_1'], 'c_0101_6' : negation(d['c_0011_11']), 'c_0101_5' : d['c_0101_11'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : negation(d['c_0011_0']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0101_10']), 'c_0101_8' : d['c_0101_11'], '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_0011_11']), 'c_0110_8' : negation(d['c_0011_11']), 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_1100_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_0']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_1'], 'c_0110_7' : d['c_0101_11'], 'c_0110_6' : 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_9, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_1001_1, c_1001_10, c_1001_4, c_1001_6, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 3 Groebner basis: [ t + 5/2*c_1100_1^2 - 13/2*c_1100_1 + 7/2, c_0011_0 - 1, c_0011_10 - c_1100_1, c_0011_11 + c_1100_1^2, c_0011_9 + c_1100_1, c_0101_0 - 1, c_0101_1 - c_1100_1^2 + c_1100_1, c_0101_10 - c_1100_1 - 1, c_0101_11 - c_1100_1, c_1001_1 - c_1100_1^2 + c_1100_1 + 1, c_1001_10 + c_1100_1^2, c_1001_4 + c_1100_1^2 - c_1100_1, c_1001_6 + 1, c_1100_1^3 - c_1100_1^2 - c_1100_1 - 1 ], 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_9, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_1001_1, c_1001_10, c_1001_4, c_1001_6, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t + 19738002583/987437952*c_1100_1^15 - 9415759483/109715328*c_1100_1^14 + 38604511957/246859488*c_1100_1^13 - 50323880519/329145984*c_1100_1^12 + 105546954409/493718976*c_1100_1^11 - 248694418109/493718976*c_1100_1^10 + 648485697397/987437952*c_1100_1^9 - 69377487529/329145984*c_1100_1^8 - 166827824915/987437952*c_1100_1^7 - 36175685855/246859488*c_1100_1^6 + 117329797043/493718976*c_1100_1^5 + 529940348729/987437952*c_1100_1^4 - 411548067409/493718976*c_1100_1^3 + 21218398223/164572992*c_1100_1^2 + 95085405451/246859488*c_1100_1 - 48119427385/246859488, c_0011_0 - 1, c_0011_10 - c_1100_1, c_0011_11 + 7073/190478*c_1100_1^15 + 887/190478*c_1100_1^14 - 81387/190478*c_1100_1^13 + 86621/95239*c_1100_1^12 - 78755/95239*c_1100_1^11 + 221217/190478*c_1100_1^10 - 681365/190478*c_1100_1^9 + 938129/190478*c_1100_1^8 - 250134/95239*c_1100_1^7 + 238307/190478*c_1100_1^6 - 749317/190478*c_1100_1^5 + 483397/190478*c_1100_1^4 + 226038/95239*c_1100_1^3 - 631613/190478*c_1100_1^2 + 106283/95239*c_1100_1 - 44940/95239, c_0011_9 + 46069/190478*c_1100_1^15 - 118883/190478*c_1100_1^14 + 146467/190478*c_1100_1^13 - 55028/95239*c_1100_1^12 + 181640/95239*c_1100_1^11 - 650487/190478*c_1100_1^10 + 444137/190478*c_1100_1^9 + 131577/190478*c_1100_1^8 + 96117/95239*c_1100_1^7 - 380635/190478*c_1100_1^6 - 236415/190478*c_1100_1^5 + 917283/190478*c_1100_1^4 - 144857/95239*c_1100_1^3 + 16215/190478*c_1100_1^2 + 6466/95239*c_1100_1 - 22034/95239, c_0101_0 - 1, c_0101_1 + 29577/95239*c_1100_1^15 - 170389/190478*c_1100_1^14 + 122288/95239*c_1100_1^13 - 250889/190478*c_1100_1^12 + 573047/190478*c_1100_1^11 - 1004159/190478*c_1100_1^10 + 466262/95239*c_1100_1^9 - 340381/190478*c_1100_1^8 + 239720/95239*c_1100_1^7 - 276607/95239*c_1100_1^6 + 40017/190478*c_1100_1^5 + 384775/95239*c_1100_1^4 - 580827/190478*c_1100_1^3 + 154003/190478*c_1100_1^2 + 152204/95239*c_1100_1 - 73368/95239, c_0101_10 - 2153/95239*c_1100_1^15 - 9736/95239*c_1100_1^14 + 32099/95239*c_1100_1^13 - 44561/95239*c_1100_1^12 + 51837/95239*c_1100_1^11 - 124053/95239*c_1100_1^10 + 207971/95239*c_1100_1^9 - 188453/95239*c_1100_1^8 + 157720/95239*c_1100_1^7 - 203300/95239*c_1100_1^6 + 109031/95239*c_1100_1^5 + 12000/95239*c_1100_1^4 + 23473/95239*c_1100_1^3 + 111551/95239*c_1100_1^2 - 126698/95239*c_1100_1 + 68199/95239, c_0101_11 + 66227/190478*c_1100_1^15 - 84751/95239*c_1100_1^14 + 163189/190478*c_1100_1^13 - 77647/190478*c_1100_1^12 + 415537/190478*c_1100_1^11 - 391471/95239*c_1100_1^10 + 251159/190478*c_1100_1^9 + 298874/95239*c_1100_1^8 - 10414/95239*c_1100_1^7 - 314907/190478*c_1100_1^6 - 354650/95239*c_1100_1^5 + 1252947/190478*c_1100_1^4 - 319229/190478*c_1100_1^3 - 143566/95239*c_1100_1^2 + 163248/95239*c_1100_1 - 23069/95239, c_1001_1 + 29577/95239*c_1100_1^15 - 170389/190478*c_1100_1^14 + 122288/95239*c_1100_1^13 - 250889/190478*c_1100_1^12 + 573047/190478*c_1100_1^11 - 1004159/190478*c_1100_1^10 + 466262/95239*c_1100_1^9 - 340381/190478*c_1100_1^8 + 239720/95239*c_1100_1^7 - 276607/95239*c_1100_1^6 + 40017/190478*c_1100_1^5 + 384775/95239*c_1100_1^4 - 580827/190478*c_1100_1^3 + 154003/190478*c_1100_1^2 + 152204/95239*c_1100_1 + 21871/95239, c_1001_10 + 7073/190478*c_1100_1^15 + 887/190478*c_1100_1^14 - 81387/190478*c_1100_1^13 + 86621/95239*c_1100_1^12 - 78755/95239*c_1100_1^11 + 221217/190478*c_1100_1^10 - 681365/190478*c_1100_1^9 + 938129/190478*c_1100_1^8 - 250134/95239*c_1100_1^7 + 238307/190478*c_1100_1^6 - 749317/190478*c_1100_1^5 + 483397/190478*c_1100_1^4 + 226038/95239*c_1100_1^3 - 631613/190478*c_1100_1^2 + 106283/95239*c_1100_1 - 44940/95239, c_1001_4 - 29577/95239*c_1100_1^15 + 170389/190478*c_1100_1^14 - 122288/95239*c_1100_1^13 + 250889/190478*c_1100_1^12 - 573047/190478*c_1100_1^11 + 1004159/190478*c_1100_1^10 - 466262/95239*c_1100_1^9 + 340381/190478*c_1100_1^8 - 239720/95239*c_1100_1^7 + 276607/95239*c_1100_1^6 - 40017/190478*c_1100_1^5 - 384775/95239*c_1100_1^4 + 580827/190478*c_1100_1^3 - 154003/190478*c_1100_1^2 - 152204/95239*c_1100_1 + 73368/95239, c_1001_6 + 29577/95239*c_1100_1^15 - 170389/190478*c_1100_1^14 + 122288/95239*c_1100_1^13 - 250889/190478*c_1100_1^12 + 573047/190478*c_1100_1^11 - 1004159/190478*c_1100_1^10 + 466262/95239*c_1100_1^9 - 340381/190478*c_1100_1^8 + 239720/95239*c_1100_1^7 - 276607/95239*c_1100_1^6 + 40017/190478*c_1100_1^5 + 384775/95239*c_1100_1^4 - 580827/190478*c_1100_1^3 + 344481/190478*c_1100_1^2 + 56965/95239*c_1100_1 + 21871/95239, c_1100_1^16 - 4*c_1100_1^15 + 7*c_1100_1^14 - 7*c_1100_1^13 + 11*c_1100_1^12 - 24*c_1100_1^11 + 29*c_1100_1^10 - 10*c_1100_1^9 - 2*c_1100_1^8 - 9*c_1100_1^7 + 6*c_1100_1^6 + 25*c_1100_1^5 - 31*c_1100_1^4 + 8*c_1100_1^3 + 10*c_1100_1^2 - 8*c_1100_1 + 4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.280 Total time: 0.490 seconds, Total memory usage: 32.09MB