Magma V2.19-8 Tue Aug 20 2013 17:59:46 on localhost [Seed = 2362259578] Type ? for help. Type -D to quit. Loading file "10^2_85__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation 10^2_85 geometric_solution 12.72176520 oriented_manifold CS_known -0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 14 1 2 3 1 0132 0132 0132 2031 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 0 0 0 1 -1 -1 0 0 1 0 1 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.562212443539 1.136092036559 0 0 5 4 0132 1302 0132 0132 1 1 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 -1 0 1 1 0 0 -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 0.650101654971 0.707057853239 6 0 7 7 0132 0132 2103 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 1 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.637353706691 1.436874139574 8 9 5 0 0132 0132 3012 0132 0 1 0 0 0 0 0 0 0 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 1 0 -1 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 0.331675422746 0.452006637820 8 10 1 11 2103 0132 0132 0132 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 0 0 0 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 0 0 0 0 0 0.298290464125 0.528606127783 8 3 10 1 3120 1230 0132 0132 1 1 0 0 0 -1 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 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 0.233795060145 0.865248039187 2 7 12 12 0132 0132 0132 3120 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.565942931041 0.438195938073 2 6 2 9 2103 0132 0132 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.742048433068 0.581535702854 3 9 4 5 0132 0321 2103 3120 0 1 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.057018233414 1.103577946593 7 3 12 8 3012 0132 3012 0321 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.201961893270 1.149622397198 13 4 11 5 0132 0132 0132 0132 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 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 -0.291038090945 1.077097768287 13 13 4 10 2103 1302 0132 0132 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 0 0 0 0 0 0 1 -1 0 -1 0 1 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 0.529125919526 1.631654101993 6 9 13 6 3120 1230 3012 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 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.140990688707 1.151870389692 10 12 11 11 0132 1230 2103 2031 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 1 -1 0 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 0.529125919526 1.631654101993 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_2'], 'c_1001_11' : d['c_0101_10'], 'c_1001_10' : d['c_0101_10'], 'c_1001_13' : d['c_0011_11'], 'c_1001_12' : d['c_0011_10'], 'c_1001_5' : d['c_1001_4'], 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : negation(d['c_0011_12']), 'c_1001_6' : d['c_0101_9'], 'c_1001_1' : d['c_0101_1'], 'c_1001_0' : negation(d['c_0011_12']), 'c_1001_3' : negation(d['c_0011_5']), 'c_1001_2' : negation(d['c_0011_0']), 'c_1001_9' : negation(d['c_0011_12']), 'c_1001_8' : negation(d['c_0011_10']), 'c_1010_13' : d['c_0011_11'], 'c_1010_12' : d['c_0101_9'], 'c_1010_11' : d['c_0101_10'], 'c_1010_10' : d['c_1001_4'], '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' : negation(d['1']), 's_2_1' : negation(d['1']), 's_2_2' : negation(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_13' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : negation(d['1']), 's_0_9' : d['1'], 's_0_6' : negation(d['1']), 's_0_7' : negation(d['1']), 's_0_4' : d['1'], 's_0_5' : negation(d['1']), 's_0_2' : negation(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_0011_10' : d['c_0011_10'], 'c_0011_13' : negation(d['c_0011_10']), 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_1100_1'], 'c_1100_4' : d['c_1100_1'], 'c_1100_7' : d['c_0011_3'], 'c_1100_6' : negation(d['c_0011_11']), 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : negation(d['c_1001_4']), 'c_1100_3' : negation(d['c_1001_4']), 'c_1100_2' : d['c_0011_3'], 's_3_11' : d['1'], 'c_1100_11' : d['c_1100_1'], 'c_1100_10' : d['c_1100_1'], 'c_1100_13' : negation(d['c_0101_10']), 's_3_10' : d['1'], 's_3_13' : d['1'], 'c_1010_7' : d['c_0101_9'], 'c_1010_6' : negation(d['c_0011_12']), 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : d['c_0101_10'], 'c_1010_3' : negation(d['c_0011_12']), 'c_1010_2' : negation(d['c_0011_12']), 'c_1010_1' : d['c_1001_4'], 'c_1010_0' : negation(d['c_0011_0']), 'c_1010_9' : negation(d['c_0011_5']), 'c_1010_8' : negation(d['c_0011_5']), 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : negation(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' : negation(d['1']), 'c_1100_12' : negation(d['c_0011_11']), 's_1_7' : negation(d['1']), 's_1_6' : negation(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_3']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : negation(d['c_0011_0']), 'c_0011_6' : d['c_0011_0'], '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_10'], 'c_0110_10' : d['c_0101_11'], 'c_0110_13' : d['c_0101_10'], 'c_0110_12' : d['c_0101_2'], 's_0_13' : d['1'], 'c_0101_12' : d['c_0011_11'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_2'], 'c_0101_6' : d['c_0101_2'], 'c_0101_5' : d['c_0101_11'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0101_0'], 's_1_13' : d['1'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_3'], 'c_0110_8' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0011_10']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_2'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_11'], 'c_0110_7' : negation(d['c_0011_3']), 'c_1100_8' : negation(d['c_0101_11']), 'c_0101_13' : d['c_0101_11']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 15 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_12, c_0011_3, c_0011_5, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_2, c_0101_9, c_1001_4, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t + 3265219/158625*c_1100_1^3 - 10116871/158625*c_1100_1^2 + 15516089/52875*c_1100_1 + 9007324/158625, c_0011_0 - 1, c_0011_10 - 11/47*c_1100_1^3 + 34/47*c_1100_1^2 - 187/47*c_1100_1 + 20/47, c_0011_11 + 14/47*c_1100_1^3 - 39/47*c_1100_1^2 + 191/47*c_1100_1 + 13/47, c_0011_12 - 19/47*c_1100_1^3 + 63/47*c_1100_1^2 - 276/47*c_1100_1 - 21/47, c_0011_3 - 6/47*c_1100_1^3 + 10/47*c_1100_1^2 - 55/47*c_1100_1 - 66/47, c_0011_5 - 5/47*c_1100_1^3 + 24/47*c_1100_1^2 - 85/47*c_1100_1 - 8/47, c_0101_0 - 1, c_0101_1 - 5/47*c_1100_1^3 + 24/47*c_1100_1^2 - 85/47*c_1100_1 - 8/47, c_0101_10 - 5/47*c_1100_1^3 + 24/47*c_1100_1^2 - 85/47*c_1100_1 - 8/47, c_0101_11 + 3/47*c_1100_1^3 - 5/47*c_1100_1^2 + 4/47*c_1100_1 - 14/47, c_0101_2 - 8/47*c_1100_1^3 + 29/47*c_1100_1^2 - 136/47*c_1100_1 + 6/47, c_0101_9 + 24/47*c_1100_1^3 - 87/47*c_1100_1^2 + 361/47*c_1100_1 - 18/47, c_1001_4 - 3/47*c_1100_1^3 + 5/47*c_1100_1^2 - 51/47*c_1100_1 + 14/47, c_1100_1^4 - 3*c_1100_1^3 + 14*c_1100_1^2 + 4*c_1100_1 + 1 ], Ideal of Polynomial ring of rank 15 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_12, c_0011_3, c_0011_5, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_2, c_0101_9, c_1001_4, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t + 4/55*c_1100_1^3 + 3/55*c_1100_1^2 - 18/55*c_1100_1 + 16/55, c_0011_0 - 1, c_0011_10 - 9/11*c_1100_1^3 - 15/11*c_1100_1^2 - 64/11*c_1100_1 - 3/11, c_0011_11 - 7/11*c_1100_1^3 - 8/11*c_1100_1^2 - 40/11*c_1100_1 + 27/11, c_0011_12 + 7/11*c_1100_1^3 + 8/11*c_1100_1^2 + 40/11*c_1100_1 - 16/11, c_0011_3 + 1/11*c_1100_1^3 - 2/11*c_1100_1^2 + 1/11*c_1100_1 - 18/11, c_0011_5 - c_1100_1^3 - c_1100_1^2 - 6*c_1100_1 + 3, c_0101_0 - 1, c_0101_1 + 3/11*c_1100_1^3 + 5/11*c_1100_1^2 + 14/11*c_1100_1 - 10/11, c_0101_10 + 3/11*c_1100_1^3 + 5/11*c_1100_1^2 + 14/11*c_1100_1 - 10/11, c_0101_11 + 6/11*c_1100_1^3 + 10/11*c_1100_1^2 + 39/11*c_1100_1 - 9/11, c_0101_2 + 3/11*c_1100_1^3 + 5/11*c_1100_1^2 + 25/11*c_1100_1 + 1/11, c_0101_9 - 17/11*c_1100_1^3 - 21/11*c_1100_1^2 - 105/11*c_1100_1 + 42/11, c_1001_4 - 4/11*c_1100_1^3 - 3/11*c_1100_1^2 - 26/11*c_1100_1 + 17/11, c_1100_1^4 + c_1100_1^3 + 6*c_1100_1^2 - 4*c_1100_1 + 1 ], Ideal of Polynomial ring of rank 15 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_12, c_0011_3, c_0011_5, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_2, c_0101_9, c_1001_4, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t - 16169791885475/35674256271836*c_1100_1^8 - 1863687499397/2548161162274*c_1100_1^7 - 1166837704940185/35674256271836*c_1100_1^6 - 1583109275033105/8918564067959*c_1100_1^5 - 1558768324318603/5096322324548*c_1100_1^4 - 4303689564824583/35674256271836*c_1100_1^3 + 968551007057262/8918564067959*c_1100_1^2 + 1283875344149595/17837128135918*c_1100_1 + 93027807404985/8918564067959, c_0011_0 - 1, c_0011_10 - 26379449/216229892*c_1100_1^8 - 10473729/54057473*c_1100_1^7 - 1908748091/216229892*c_1100_1^6 - 10295057735/216229892*c_1100_1^5 - 4499278844/54057473*c_1100_1^4 - 9207432545/216229892*c_1100_1^3 + 481392179/108114946*c_1100_1^2 - 598278375/216229892*c_1100_1 - 61911366/54057473, c_0011_11 - 6967847/54057473*c_1100_1^8 - 10029866/54057473*c_1100_1^7 - 2011935015/216229892*c_1100_1^6 - 5287473793/108114946*c_1100_1^5 - 17521789135/216229892*c_1100_1^4 - 1807960348/54057473*c_1100_1^3 + 3210479565/216229892*c_1100_1^2 + 1168259037/216229892*c_1100_1 - 152154067/108114946, c_0011_12 + 10549028/54057473*c_1100_1^8 + 66670843/216229892*c_1100_1^7 + 761822924/54057473*c_1100_1^6 + 16436366559/216229892*c_1100_1^5 + 14130914421/108114946*c_1100_1^4 + 12543083467/216229892*c_1100_1^3 - 5062751063/216229892*c_1100_1^2 - 345541058/54057473*c_1100_1 + 139172608/54057473, c_0011_3 + 5160497/54057473*c_1100_1^8 + 27845157/216229892*c_1100_1^7 + 745515059/108114946*c_1100_1^6 + 3849827377/108114946*c_1100_1^5 + 12532267791/216229892*c_1100_1^4 + 5365198409/216229892*c_1100_1^3 - 1262913239/216229892*c_1100_1^2 - 404311213/216229892*c_1100_1 - 60492653/108114946, c_0011_5 + 38984781/216229892*c_1100_1^8 + 18074524/54057473*c_1100_1^7 + 2829183861/216229892*c_1100_1^6 + 15961652031/216229892*c_1100_1^5 + 7514147418/54057473*c_1100_1^4 + 18147663311/216229892*c_1100_1^3 - 302731466/54057473*c_1100_1^2 - 879297875/216229892*c_1100_1 + 225733713/108114946, c_0101_0 - 1, c_0101_1 + 2066931/54057473*c_1100_1^8 + 16828419/216229892*c_1100_1^7 + 598133417/216229892*c_1100_1^6 + 1745744153/108114946*c_1100_1^5 + 3325363801/108114946*c_1100_1^4 + 3570695851/216229892*c_1100_1^3 - 648751655/108114946*c_1100_1^2 - 266552111/108114946*c_1100_1 + 32682115/54057473, c_0101_10 - 2066931/54057473*c_1100_1^8 - 16828419/216229892*c_1100_1^7 - 598133417/216229892*c_1100_1^6 - 1745744153/108114946*c_1100_1^5 - 3325363801/108114946*c_1100_1^4 - 3570695851/216229892*c_1100_1^3 + 648751655/108114946*c_1100_1^2 + 266552111/108114946*c_1100_1 - 32682115/54057473, c_0101_11 - 21706543/216229892*c_1100_1^8 - 32663425/216229892*c_1100_1^7 - 1568113623/216229892*c_1100_1^6 - 8339774411/216229892*c_1100_1^5 - 14124845729/216229892*c_1100_1^4 - 3201200089/108114946*c_1100_1^3 + 1801439569/216229892*c_1100_1^2 + 43811759/54057473*c_1100_1 - 53324103/54057473, c_0101_2 + 3321600/54057473*c_1100_1^8 + 21997267/216229892*c_1100_1^7 + 958128161/216229892*c_1100_1^6 + 5245223499/216229892*c_1100_1^5 + 9078833449/216229892*c_1100_1^4 + 3607189207/216229892*c_1100_1^3 - 1251167257/108114946*c_1100_1^2 - 444748797/216229892*c_1100_1 + 165358693/108114946, c_0101_9 - 10949947/108114946*c_1100_1^8 - 34763043/216229892*c_1100_1^7 - 787810927/108114946*c_1100_1^6 - 4267581837/108114946*c_1100_1^5 - 14285397251/216229892*c_1100_1^4 - 4409346047/216229892*c_1100_1^3 + 5843324239/216229892*c_1100_1^2 + 1663023005/216229892*c_1100_1 - 156771430/54057473, c_1001_4 + 13762809/108114946*c_1100_1^8 + 44182107/216229892*c_1100_1^7 + 1992574739/216229892*c_1100_1^6 + 10776495717/216229892*c_1100_1^5 + 18965952935/216229892*c_1100_1^4 + 10000380403/216229892*c_1100_1^3 - 583496575/108114946*c_1100_1^2 - 483089051/216229892*c_1100_1 + 88724538/54057473, c_1100_1^9 + 2*c_1100_1^8 + 73*c_1100_1^7 + 420*c_1100_1^6 + 842*c_1100_1^5 + 622*c_1100_1^4 + 76*c_1100_1^3 - 44*c_1100_1^2 + c_1100_1 + 4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.350 Total time: 0.560 seconds, Total memory usage: 32.09MB