Magma V2.19-8 Tue Aug 20 2013 23:39:56 on localhost [Seed = 4071921216] Type ? for help. Type -D to quit. Loading file "K14n21325__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K14n21325 geometric_solution 9.81643524 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 11 1 2 3 4 0132 0132 0132 0132 0 0 0 0 0 1 0 -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 -15 -1 16 0 0 0 0 0 16 0 -16 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.001021643283 0.575368634691 0 4 6 5 0132 3012 0132 0132 0 0 0 0 0 -1 1 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 16 -16 0 0 0 0 0 0 0 0 0 0 -15 15 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1.264363796505 1.369435843103 4 0 8 7 3012 0132 0132 0132 0 0 0 0 0 -1 1 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 15 -15 0 0 0 0 0 0 0 0 0 0 -16 16 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.065427485008 1.064269908142 9 5 9 0 0132 2031 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 -1 1 0 0 0 0 -1 1 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.885564477213 1.092073216837 1 6 0 2 1230 0132 0132 1230 0 0 0 0 0 -1 1 0 0 0 0 0 -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 16 -16 0 0 0 0 0 15 -15 0 0 -16 0 16 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.677708165448 1.025537681218 3 8 1 10 1302 0213 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 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 -0.066253025748 0.831787995570 8 4 10 1 1302 0132 0132 0132 0 0 0 0 0 1 0 -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 -16 0 16 -1 0 1 0 15 0 0 -15 0 15 -15 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.120705184803 0.748922517673 9 8 2 10 1230 1023 0132 0321 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 0 0 0 0 0 0 -16 0 16 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.269313098402 1.707426400767 7 6 5 2 1023 2031 0213 0132 0 0 0 0 0 1 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 -15 0 15 0 0 0 0 16 0 0 -16 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.120705184803 0.748922517673 3 7 10 3 0132 3012 1302 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 0 0 0 0 0 0 -1 0 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.552032165079 0.552431457121 9 7 5 6 2031 0321 0132 0132 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 0 0 0 1 -1 1 -16 0 15 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.523165798487 0.666886905447 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : d['c_1001_10'], 'c_1001_5' : negation(d['c_0101_1']), 'c_1001_4' : negation(d['c_0011_4']), 'c_1001_7' : d['c_0011_5'], 'c_1001_6' : d['c_0101_2'], 'c_1001_1' : negation(d['c_0011_4']), 'c_1001_0' : d['c_0011_5'], 'c_1001_3' : negation(d['c_0101_10']), 'c_1001_2' : negation(d['c_0011_4']), 'c_1001_9' : negation(d['c_0011_7']), 'c_1001_8' : negation(d['c_0101_1']), 'c_1010_10' : d['c_0101_2'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['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' : d['1'], 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_10' : 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_10'], 'c_1100_8' : d['c_1001_10'], 'c_1100_5' : d['c_1100_1'], 'c_1100_4' : d['c_0101_7'], 'c_1100_7' : d['c_1001_10'], 'c_1100_6' : d['c_1100_1'], 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : d['c_0101_7'], 'c_1100_3' : d['c_0101_7'], 'c_1100_2' : d['c_1001_10'], 'c_1100_10' : d['c_1100_1'], 'c_1010_7' : d['c_0101_2'], 'c_1010_6' : negation(d['c_0011_4']), 'c_1010_5' : d['c_1001_10'], 'c_1010_4' : d['c_0101_2'], 'c_1010_3' : d['c_0011_5'], 'c_1010_2' : d['c_0011_5'], 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : negation(d['c_0011_4']), 'c_1010_9' : negation(d['c_0101_7']), 'c_1010_8' : negation(d['c_0011_4']), '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'], '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' : d['c_0011_7'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : negation(d['c_0011_4']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_10'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_10' : negation(d['c_0011_7']), 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : negation(d['c_0011_7']), 'c_0101_5' : negation(d['c_0011_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_10']), 'c_0101_9' : negation(d['c_0011_10']), 'c_0101_8' : d['c_0011_5'], 'c_0011_10' : d['c_0011_10'], '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_10']), 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0011_10']), 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : d['c_0101_10'], 'c_0110_4' : negation(d['c_0011_0']), 'c_0110_7' : negation(d['c_0011_10']), 'c_0110_6' : d['c_0101_1']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_4, c_0011_5, c_0011_7, c_0101_1, c_0101_10, c_0101_2, c_0101_7, c_1001_10, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 268604416864252/1940487529737*c_1100_1^11 - 1666299045615298/1940487529737*c_1100_1^10 + 555145159979306/1940487529737*c_1100_1^9 + 5515712301049487/646829176579*c_1100_1^8 - 29801057408691461/1940487529737*c_1100_1^7 - 58261817302255462/1940487529737*c_1100_1^6 + 226892315465823721/1940487529737*c_1100_1^5 - 137320163502933340/1940487529737*c_1100_1^4 - 351087240754852541/1940487529737*c_1100_1^3 + 229433425802684274/646829176579*c_1100_1^2 - 475824236517073585/1940487529737*c_1100_1 + 122670578861718979/1940487529737, c_0011_0 - 1, c_0011_10 + 17942003/58121051*c_1100_1^11 - 101618722/58121051*c_1100_1^10 - 7414096/58121051*c_1100_1^9 + 1055558208/58121051*c_1100_1^8 - 1478256997/58121051*c_1100_1^7 - 4161660231/58121051*c_1100_1^6 + 12675449717/58121051*c_1100_1^5 - 4914668774/58121051*c_1100_1^4 - 21863989120/58121051*c_1100_1^3 + 36017385374/58121051*c_1100_1^2 - 22456399954/58121051*c_1100_1 + 5217220902/58121051, c_0011_4 + 9628764/58121051*c_1100_1^11 - 40449995/58121051*c_1100_1^10 - 63369564/58121051*c_1100_1^9 + 478151080/58121051*c_1100_1^8 - 103355037/58121051*c_1100_1^7 - 2429088881/58121051*c_1100_1^6 + 3380737309/58121051*c_1100_1^5 + 2468983625/58121051*c_1100_1^4 - 8898476244/58121051*c_1100_1^3 + 6629928759/58121051*c_1100_1^2 - 1054267049/58121051*c_1100_1 - 405623059/58121051, c_0011_5 - 18715882/58121051*c_1100_1^11 + 102592207/58121051*c_1100_1^10 + 23617613/58121051*c_1100_1^9 - 1083369077/58121051*c_1100_1^8 + 1360590320/58121051*c_1100_1^7 + 4436126142/58121051*c_1100_1^6 - 12349328640/58121051*c_1100_1^5 + 3602145249/58121051*c_1100_1^4 + 22262092231/58121051*c_1100_1^3 - 33954567299/58121051*c_1100_1^2 + 20117605297/58121051*c_1100_1 - 4499974436/58121051, c_0011_7 + 18715882/58121051*c_1100_1^11 - 102592207/58121051*c_1100_1^10 - 23617613/58121051*c_1100_1^9 + 1083369077/58121051*c_1100_1^8 - 1360590320/58121051*c_1100_1^7 - 4436126142/58121051*c_1100_1^6 + 12349328640/58121051*c_1100_1^5 - 3602145249/58121051*c_1100_1^4 - 22262092231/58121051*c_1100_1^3 + 33954567299/58121051*c_1100_1^2 - 20117605297/58121051*c_1100_1 + 4499974436/58121051, c_0101_1 - 1, c_0101_10 - 12533952/58121051*c_1100_1^11 + 70740962/58121051*c_1100_1^10 + 7980466/58121051*c_1100_1^9 - 742644244/58121051*c_1100_1^8 + 1006162235/58121051*c_1100_1^7 + 2996397341/58121051*c_1100_1^6 - 8773054577/58121051*c_1100_1^5 + 2870131748/58121051*c_1100_1^4 + 15613163857/58121051*c_1100_1^3 - 24191309223/58121051*c_1100_1^2 + 14263428048/58121051*c_1100_1 - 3119352021/58121051, c_0101_2 + 34694292/58121051*c_1100_1^11 - 178711795/58121051*c_1100_1^10 - 87504134/58121051*c_1100_1^9 + 1921203072/58121051*c_1100_1^8 - 2002636458/58121051*c_1100_1^7 - 8193004838/58121051*c_1100_1^6 + 20209981456/58121051*c_1100_1^5 - 3587443928/58121051*c_1100_1^4 - 38250953893/58121051*c_1100_1^3 + 54403809852/58121051*c_1100_1^2 - 30928219964/58121051*c_1100_1 + 6617910116/58121051, c_0101_7 + 18715882/58121051*c_1100_1^11 - 102592207/58121051*c_1100_1^10 - 23617613/58121051*c_1100_1^9 + 1083369077/58121051*c_1100_1^8 - 1360590320/58121051*c_1100_1^7 - 4436126142/58121051*c_1100_1^6 + 12349328640/58121051*c_1100_1^5 - 3602145249/58121051*c_1100_1^4 - 22262092231/58121051*c_1100_1^3 + 33954567299/58121051*c_1100_1^2 - 20175726348/58121051*c_1100_1 + 4558095487/58121051, c_1001_10 - 1434135/58121051*c_1100_1^11 + 7740975/58121051*c_1100_1^10 - 7784839/58121051*c_1100_1^9 - 57732936/58121051*c_1100_1^8 + 207446987/58121051*c_1100_1^7 + 40653562/58121051*c_1100_1^6 - 1339553261/58121051*c_1100_1^5 + 1950954673/58121051*c_1100_1^4 + 1219148226/58121051*c_1100_1^3 - 5517021768/58121051*c_1100_1^2 + 4956478176/58121051*c_1100_1 - 1488257293/58121051, c_1100_1^12 - 7*c_1100_1^11 + 7*c_1100_1^10 + 60*c_1100_1^9 - 160*c_1100_1^8 - 129*c_1100_1^7 + 1018*c_1100_1^6 - 1182*c_1100_1^5 - 905*c_1100_1^4 + 3604*c_1100_1^3 - 3802*c_1100_1^2 + 1855*c_1100_1 - 359 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.190 Total time: 0.400 seconds, Total memory usage: 32.09MB