Magma V2.19-8 Wed Aug 21 2013 01:01:17 on localhost [Seed = 3751396395] Type ? for help. Type -D to quit. Loading file "L14a28912__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L14a28912 geometric_solution 10.94172730 oriented_manifold CS_known 0.0000000000000006 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 1 0132 0132 0132 3201 2 2 2 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 0 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.529049825799 0.818715684232 0 0 1 1 0132 2310 1230 3012 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2.291531360903 0.333570871037 3 0 5 4 2310 0132 0132 0132 2 0 2 2 0 -1 1 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 -2 3 -1 1 0 1 -2 0 0 0 0 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.405819999433 0.538317859673 6 7 2 0 0132 0132 3201 0132 2 2 2 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.405819999433 0.538317859673 8 9 2 10 0132 0132 0132 0132 2 0 0 2 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 2 -2 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.617896860112 0.662727969589 11 6 11 2 0132 1230 3012 0132 2 0 2 1 0 1 0 -1 0 0 -1 1 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 3 0 -3 0 0 1 -1 0 -2 0 2 4 1 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.669629955122 0.502132354613 3 8 5 8 0132 0132 3012 0213 1 2 0 2 0 0 0 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 -1 1 0 0 -3 3 0 0 0 0 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.669629955122 0.502132354613 10 3 12 11 0132 0132 0132 3012 2 0 0 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.617896860112 0.662727969589 4 6 11 6 0132 0132 2031 0213 1 0 2 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 1 2 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.669629955122 0.502132354613 10 4 12 12 1023 0132 3201 0321 2 2 2 0 0 0 0 0 0 0 0 0 0 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 -1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.104301800916 1.081988443978 7 9 4 12 0132 1023 0132 0132 2 0 2 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 -1 0 2 -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 1.368423729059 1.938270201401 5 5 7 8 0132 1230 1230 1302 0 0 1 2 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 -1 1 0 0 0 0 0 -4 5 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.914440005743 1.389865456494 9 9 10 7 2310 0321 0132 0132 2 0 2 2 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.104301800916 1.081988443978 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_3'], 'c_1001_11' : d['c_1001_11'], 'c_1001_10' : negation(d['c_0101_12']), 'c_1001_12' : negation(d['c_0011_12']), 'c_1001_5' : negation(d['c_0011_11']), 'c_1001_4' : d['c_1001_0'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : d['c_0011_11'], 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0101_11']), 'c_1001_2' : d['c_0101_0'], 'c_1001_9' : negation(d['c_0101_12']), 'c_1001_8' : negation(d['c_0101_5']), 'c_1010_12' : d['c_1001_0'], 'c_1010_11' : d['c_0101_5'], 'c_1010_10' : negation(d['c_0011_12']), 's_0_10' : d['1'], 's_3_10' : negation(d['1']), 's_0_12' : d['1'], 's_3_12' : negation(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' : negation(d['1']), 's_2_4' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : negation(d['1']), 's_2_12' : negation(d['1']), 's_2_10' : negation(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' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : d['c_0011_11'], 'c_1100_8' : negation(d['c_0101_5']), 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_1001_11']), 'c_1100_4' : negation(d['c_1001_11']), 'c_1100_7' : negation(d['c_1001_11']), 'c_1100_6' : d['c_0011_11'], 'c_1100_1' : d['c_0101_0'], 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : negation(d['c_1001_11']), 's_3_11' : d['1'], 'c_1100_11' : d['c_0101_10'], 'c_1100_10' : negation(d['c_1001_11']), 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0101_11']), 'c_1010_6' : negation(d['c_0101_5']), 'c_1010_5' : d['c_0101_0'], 'c_1010_4' : negation(d['c_0101_12']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : d['c_0101_0'], 'c_1010_9' : d['c_1001_0'], 'c_1010_8' : d['c_0011_11'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : negation(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_1001_11']), 's_1_7' : negation(d['1']), 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : negation(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' : d['c_0011_10'], 'c_0011_8' : d['c_0011_10'], 'c_0011_5' : negation(d['c_0011_11']), 'c_0011_4' : negation(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' : d['c_0011_10'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_5'], 'c_0110_10' : d['c_0101_12'], 'c_0110_12' : d['c_0101_12'], 'c_0101_12' : d['c_0101_12'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_12'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0101_3']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_11'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0101_12']), 'c_0101_8' : d['c_0101_10'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_12']), 'c_0110_8' : negation(d['c_0101_3']), 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0011_12']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_3']), 'c_0110_5' : d['c_0101_11'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_10'], 'c_0011_10' : d['c_0011_10']})} 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_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_12, c_0101_3, c_0101_5, c_1001_0, c_1001_11 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 1064404673/14818432*c_1001_11^11 + 7469362721/14818432*c_1001_11^10 - 45222126765/14818432*c_1001_11^9 + 83292913637/14818432*c_1001_11^8 - 19193540271/7409216*c_1001_11^7 - 48276739439/7409216*c_1001_11^6 + 180373569865/14818432*c_1001_11^5 - 105218569347/14818432*c_1001_11^4 - 38494173379/14818432*c_1001_11^3 + 90381303541/14818432*c_1001_11^2 - 54138877523/14818432*c_1001_11 + 12917849813/14818432, c_0011_0 - 1, c_0011_10 - c_1001_11, c_0011_11 + 1, c_0011_12 + 1676583/3936146*c_1001_11^11 + 16583593/3936146*c_1001_11^10 - 29320703/3936146*c_1001_11^9 - 4617819/3936146*c_1001_11^8 + 2188379/115769*c_1001_11^7 - 29708793/1968073*c_1001_11^6 - 22347153/3936146*c_1001_11^5 + 84058411/3936146*c_1001_11^4 - 26453437/3936146*c_1001_11^3 - 13650147/3936146*c_1001_11^2 + 18304539/3936146*c_1001_11 - 5410829/3936146, c_0101_0 - 3599247/1968073*c_1001_11^11 - 30996467/1968073*c_1001_11^10 + 103498011/1968073*c_1001_11^9 - 115795657/1968073*c_1001_11^8 - 2807382/115769*c_1001_11^7 + 233019351/1968073*c_1001_11^6 - 229392921/1968073*c_1001_11^5 + 15553253/1968073*c_1001_11^4 + 117146395/1968073*c_1001_11^3 - 106167031/1968073*c_1001_11^2 + 36885967/1968073*c_1001_11 - 3397487/1968073, c_0101_1 + 2855663/3936146*c_1001_11^11 + 24394623/3936146*c_1001_11^10 - 83734391/3936146*c_1001_11^9 + 98184155/3936146*c_1001_11^8 + 813725/115769*c_1001_11^7 - 90510760/1968073*c_1001_11^6 + 192495769/3936146*c_1001_11^5 - 32517711/3936146*c_1001_11^4 - 80175811/3936146*c_1001_11^3 + 84053985/3936146*c_1001_11^2 - 36226651/3936146*c_1001_11 + 8278977/3936146, c_0101_10 + 68384/115769*c_1001_11^11 + 580766/115769*c_1001_11^10 - 2026070/115769*c_1001_11^9 + 2544361/115769*c_1001_11^8 + 518834/115769*c_1001_11^7 - 4625693/115769*c_1001_11^6 + 5204752/115769*c_1001_11^5 - 711499/115769*c_1001_11^4 - 2569190/115769*c_1001_11^3 + 2564926/115769*c_1001_11^2 - 850496/115769*c_1001_11 + 74765/115769, c_0101_11 - 1, c_0101_12 + 33694/115769*c_1001_11^11 + 298986/115769*c_1001_11^10 - 874839/115769*c_1001_11^9 + 997522/115769*c_1001_11^8 + 297955/115769*c_1001_11^7 - 1838800/115769*c_1001_11^6 + 2297397/115769*c_1001_11^5 - 654438/115769*c_1001_11^4 - 717506/115769*c_1001_11^3 + 1295794/115769*c_1001_11^2 - 703845/115769*c_1001_11 + 184153/115769, c_0101_3 - 1, c_0101_5 - 193460/115769*c_1001_11^11 - 1672756/115769*c_1001_11^10 + 5485650/115769*c_1001_11^9 - 6213420/115769*c_1001_11^8 - 2314839/115769*c_1001_11^7 + 12133115/115769*c_1001_11^6 - 12418958/115769*c_1001_11^5 + 1298034/115769*c_1001_11^4 + 6003415/115769*c_1001_11^3 - 5851855/115769*c_1001_11^2 + 2129951/115769*c_1001_11 - 268225/115769, c_1001_0 - 3599247/1968073*c_1001_11^11 - 30996467/1968073*c_1001_11^10 + 103498011/1968073*c_1001_11^9 - 115795657/1968073*c_1001_11^8 - 2807382/115769*c_1001_11^7 + 233019351/1968073*c_1001_11^6 - 229392921/1968073*c_1001_11^5 + 15553253/1968073*c_1001_11^4 + 117146395/1968073*c_1001_11^3 - 106167031/1968073*c_1001_11^2 + 34917894/1968073*c_1001_11 - 3397487/1968073, c_1001_11^12 + 8*c_1001_11^11 - 34*c_1001_11^10 + 50*c_1001_11^9 - 7*c_1001_11^8 - 72*c_1001_11^7 + 103*c_1001_11^6 - 44*c_1001_11^5 - 28*c_1001_11^4 + 48*c_1001_11^3 - 28*c_1001_11^2 + 8*c_1001_11 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.050 Total time: 0.260 seconds, Total memory usage: 32.09MB