Magma V2.19-8 Wed Aug 21 2013 00:30:39 on localhost [Seed = 156178770] Type ? for help. Type -D to quit. Loading file "K14n1722__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K14n1722 geometric_solution 11.74878889 oriented_manifold CS_known 0.0000000000000010 1 0 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 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 -1 0 1 -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 0.343961454765 1.040172603940 0 5 7 6 0132 0132 0132 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 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 0.426735837623 0.905555146971 8 0 10 9 0132 0132 0132 0132 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 1 0 -1 -5 0 0 5 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.158926505424 0.452279324159 8 6 5 0 1302 0132 1302 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 0 0 0 0 0 1 -1 0 0 0 0 -6 0 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.426735837623 0.905555146971 11 10 0 7 0132 0132 0132 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.592510528714 0.357830054186 3 1 9 10 2031 0132 0213 3012 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 1 -1 0 0 0 0 -6 0 0 6 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.574172707199 0.903627168661 11 3 1 9 3120 0132 0132 0213 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.574172707199 0.903627168661 9 12 4 1 0213 0132 2031 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 -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 0.533596142937 0.689669979586 2 3 12 11 0132 2031 1302 0321 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 0 0 0 5 0 -6 1 -1 6 0 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.507344162211 1.163279705269 7 5 2 6 0213 0213 0132 0213 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 -1 1 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 0 0.343961454765 1.040172603940 12 4 5 2 2310 0132 1230 0132 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 6 0 -6 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 1.507344162211 1.163279705269 4 8 12 6 0132 0321 1230 3120 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 1 -1 0 0 0 0 0 5 0 -5 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.473465344617 0.699293589747 8 7 10 11 2031 0132 3201 3012 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 1 -1 0 0 0 0 6 0 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.511321406208 0.738797303524 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_10'], 'c_1001_10' : d['c_1001_10'], 'c_1001_12' : negation(d['c_0101_10']), 'c_1001_5' : d['c_1001_0'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : negation(d['c_0101_11']), 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : negation(d['c_0101_10']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0110_5'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : negation(d['c_0101_0']), 'c_1010_12' : negation(d['c_0101_11']), 'c_1010_11' : d['c_0011_3'], 'c_1010_10' : d['c_1001_2'], '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_11'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : negation(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' : 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_10'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_1001_10']), 'c_1100_4' : d['c_0011_9'], 'c_1100_7' : negation(d['c_1001_10']), 'c_1100_6' : negation(d['c_1001_10']), 'c_1100_1' : negation(d['c_1001_10']), 'c_1100_0' : d['c_0011_9'], 'c_1100_3' : d['c_0011_9'], 'c_1100_2' : d['c_0110_5'], 's_3_11' : d['1'], 'c_1100_9' : d['c_0110_5'], 'c_1100_11' : negation(d['c_0101_0']), 'c_1100_10' : d['c_0110_5'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0101_10']), 'c_1010_6' : d['c_0110_5'], 'c_1010_5' : negation(d['c_0101_10']), 'c_1010_4' : d['c_1001_10'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_0'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : negation(d['c_1001_10']), 'c_1010_8' : d['c_0011_3'], 'c_1100_8' : d['c_0011_10'], 's_3_1' : 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' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : negation(d['c_0011_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' : d['c_0011_9'], 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : negation(d['c_0011_12']), 'c_0011_6' : negation(d['c_0011_3']), '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_0101_1'], 'c_0110_10' : negation(d['c_0011_10']), 'c_0110_12' : negation(d['c_0101_0']), 'c_0101_12' : d['c_0011_10'], 'c_0101_7' : d['c_0011_9'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0011_9'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_0']), 'c_0101_2' : negation(d['c_0011_10']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_12']), 'c_0101_8' : negation(d['c_0011_12']), 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0101_1']), 'c_0110_8' : negation(d['c_0011_10']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_12']), 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0101_11'], 'c_0110_7' : d['c_0101_1'], '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_0011_9, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0110_5, c_1001_0, c_1001_10, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 145288*c_1001_2^5 + 362508*c_1001_2^4 + 432298*c_1001_2^3 + 228214*c_1001_2^2 + 47123/2*c_1001_2 - 66225/2, c_0011_0 - 1, c_0011_10 - 2*c_1001_2^2 - 2*c_1001_2 - 1, c_0011_12 + 2*c_1001_2^2 + 3*c_1001_2 + 1, c_0011_3 - c_1001_2 - 1, c_0011_9 + 2*c_1001_2^2 + 3*c_1001_2 + 2, c_0101_0 - 8*c_1001_2^5 - 24*c_1001_2^4 - 30*c_1001_2^3 - 17*c_1001_2^2 - 2*c_1001_2 + 2, c_0101_1 + c_1001_2 + 1, c_0101_10 - c_1001_2 - 1, c_0101_11 + 8*c_1001_2^5 + 16*c_1001_2^4 + 18*c_1001_2^3 + 11*c_1001_2^2 + 4*c_1001_2, c_0110_5 + 2*c_1001_2^2 + 4*c_1001_2 + 2, c_1001_0 - 8*c_1001_2^5 - 16*c_1001_2^4 - 14*c_1001_2^3 - 3*c_1001_2^2 + 3*c_1001_2 + 2, c_1001_10 + 8*c_1001_2^5 + 24*c_1001_2^4 + 30*c_1001_2^3 + 19*c_1001_2^2 + 5*c_1001_2, c_1001_2^6 + 3*c_1001_2^5 + 17/4*c_1001_2^4 + 25/8*c_1001_2^3 + c_1001_2^2 - 1/8*c_1001_2 - 1/8 ], 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_0011_9, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0110_5, c_1001_0, c_1001_10, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t + 5685788755400/46641402521*c_1001_2^10 + 18269323802356/46641402521*c_1001_2^9 - 16802230566734/46641402521*c_1001_2^8 - 71585594105462/46641402521*c_1001_2^7 + 2101723525579/2743611913*c_1001_2^6 + 158830316249414/46641402521*c_1001_2^5 - 97372207938013/46641402521*c_1001_2^4 - 148583372593186/46641402521*c_1001_2^3 + 48854562779/20628661*c_1001_2^2 + 6918215561473/6663057503*c_1001_2 - 37927414863904/46641402521, c_0011_0 - 1, c_0011_10 - 6144168/1085719*c_1001_2^10 - 19507676/1085719*c_1001_2^9 + 18553878/1085719*c_1001_2^8 + 75659990/1085719*c_1001_2^7 - 40509216/1085719*c_1001_2^6 - 167579695/1085719*c_1001_2^5 + 108436200/1085719*c_1001_2^4 + 151304088/1085719*c_1001_2^3 - 116897300/1085719*c_1001_2^2 - 47476336/1085719*c_1001_2 + 38217072/1085719, c_0011_12 - c_1001_2, c_0011_3 + 56877572/1085719*c_1001_2^10 + 181576406/1085719*c_1001_2^9 - 172980291/1085719*c_1001_2^8 - 717119523/1085719*c_1001_2^7 + 371636676/1085719*c_1001_2^6 + 1594717004/1085719*c_1001_2^5 - 1001880258/1085719*c_1001_2^4 - 1491260358/1085719*c_1001_2^3 + 1132178601/1085719*c_1001_2^2 + 484087973/1085719*c_1001_2 - 390599106/1085719, c_0011_9 - 4278684/1085719*c_1001_2^10 - 13883482/1085719*c_1001_2^9 + 11738225/1085719*c_1001_2^8 + 52726451/1085719*c_1001_2^7 - 24065375/1085719*c_1001_2^6 - 115083510/1085719*c_1001_2^5 + 67285178/1085719*c_1001_2^4 + 103780476/1085719*c_1001_2^3 - 73247565/1085719*c_1001_2^2 - 32361976/1085719*c_1001_2 + 23715188/1085719, c_0101_0 - 50912268/1085719*c_1001_2^10 - 161721278/1085719*c_1001_2^9 + 157325139/1085719*c_1001_2^8 + 639893800/1085719*c_1001_2^7 - 340023268/1085719*c_1001_2^6 - 1422302948/1085719*c_1001_2^5 + 911655212/1085719*c_1001_2^4 + 1321435839/1085719*c_1001_2^3 - 1018609516/1085719*c_1001_2^2 - 425406991/1085719*c_1001_2 + 348595244/1085719, c_0101_1 - 56877572/1085719*c_1001_2^10 - 181576406/1085719*c_1001_2^9 + 172980291/1085719*c_1001_2^8 + 717119523/1085719*c_1001_2^7 - 371636676/1085719*c_1001_2^6 - 1594717004/1085719*c_1001_2^5 + 1001880258/1085719*c_1001_2^4 + 1491260358/1085719*c_1001_2^3 - 1132178601/1085719*c_1001_2^2 - 484087973/1085719*c_1001_2 + 390599106/1085719, c_0101_10 + 56877572/1085719*c_1001_2^10 + 181576406/1085719*c_1001_2^9 - 172980291/1085719*c_1001_2^8 - 717119523/1085719*c_1001_2^7 + 371636676/1085719*c_1001_2^6 + 1594717004/1085719*c_1001_2^5 - 1001880258/1085719*c_1001_2^4 - 1491260358/1085719*c_1001_2^3 + 1132178601/1085719*c_1001_2^2 + 484087973/1085719*c_1001_2 - 390599106/1085719, c_0101_11 - 27094140/1085719*c_1001_2^10 - 86611610/1085719*c_1001_2^9 + 82797261/1085719*c_1001_2^8 + 344426317/1085719*c_1001_2^7 - 177075630/1085719*c_1001_2^6 - 767430516/1085719*c_1001_2^5 + 478101950/1085719*c_1001_2^4 + 726560959/1085719*c_1001_2^3 - 547814907/1085719*c_1001_2^2 - 239637265/1085719*c_1001_2 + 192648604/1085719, c_0110_5 + 1, c_1001_0 - 5361996/1085719*c_1001_2^10 - 16472774/1085719*c_1001_2^9 + 18681303/1085719*c_1001_2^8 + 67080458/1085719*c_1001_2^7 - 42534388/1085719*c_1001_2^6 - 150730551/1085719*c_1001_2^5 + 108809174/1085719*c_1001_2^4 + 138344903/1085719*c_1001_2^3 - 118040615/1085719*c_1001_2^2 - 43483447/1085719*c_1001_2 + 39828517/1085719, c_1001_10 - 50912268/1085719*c_1001_2^10 - 161721278/1085719*c_1001_2^9 + 157325139/1085719*c_1001_2^8 + 639893800/1085719*c_1001_2^7 - 340023268/1085719*c_1001_2^6 - 1422302948/1085719*c_1001_2^5 + 911655212/1085719*c_1001_2^4 + 1321435839/1085719*c_1001_2^3 - 1018609516/1085719*c_1001_2^2 - 425406991/1085719*c_1001_2 + 348595244/1085719, c_1001_2^11 + 5/2*c_1001_2^10 - 21/4*c_1001_2^9 - 21/2*c_1001_2^8 + 61/4*c_1001_2^7 + 47/2*c_1001_2^6 - 37*c_1001_2^5 - 14*c_1001_2^4 + 38*c_1001_2^3 - 21/4*c_1001_2^2 - 51/4*c_1001_2 + 19/4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 3.840 Total time: 4.049 seconds, Total memory usage: 86.31MB