Magma V2.19-8 Wed Aug 21 2013 01:04:18 on localhost [Seed = 189600579] Type ? for help. Type -D to quit. Loading file "L14n24030__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n24030 geometric_solution 12.40677507 oriented_manifold CS_known -0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 0 1 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 0 1 0 -1 -2 0 2 0 0 0 0 0 -1 -2 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.208364760226 1.014625503057 0 5 7 6 0132 0132 0132 0132 1 0 0 1 0 1 -1 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 0 2 0 -3 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 0.584305340581 0.887863563231 8 0 3 9 0132 0132 0213 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 -1 0 1 0 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 0 0 0.718226926699 0.739021481473 10 2 9 0 0132 0213 2310 0132 1 0 0 1 0 0 0 0 0 0 -1 1 -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 2 -2 3 0 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.560078026270 0.432238548600 5 8 0 9 0132 0132 0132 2310 1 0 0 1 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 0 1 -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 0.366757322453 1.015083164013 4 1 11 12 0132 0132 0132 0132 1 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 1 -1 0 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 0.615413272069 0.758859278350 12 12 1 11 3201 0132 0132 3201 1 0 1 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 0 0 0 0 0 -1 1 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.432517984125 0.923795747300 12 11 10 1 0132 3201 0321 0132 1 0 1 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 0 1 -1 0 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.432517984125 0.923795747300 2 4 11 10 0132 0132 3201 0321 1 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 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 0.442396988319 0.709158985292 4 3 2 10 3201 3201 0132 2103 1 0 1 0 0 0 0 0 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 0 -1 1 0 0 0 0 1 0 0 -1 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.450441382963 1.181396981101 3 8 7 9 0132 0321 0321 2103 1 0 1 0 0 0 1 -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 0 -1 1 0 0 0 0 0 1 0 -1 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.208364760226 1.014625503057 8 6 7 5 2310 2310 2310 0132 1 0 0 1 0 1 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 -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 0.355318780642 0.794949259452 7 6 5 6 0132 0132 0132 2310 1 0 0 1 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 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 0.584305340581 0.887863563231 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_1001_1']), 'c_1001_10' : negation(d['c_0011_11']), 'c_1001_12' : d['c_1001_1'], 'c_1001_5' : negation(d['c_0110_6']), 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : negation(d['c_0101_11']), 'c_1001_6' : negation(d['c_0110_6']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : negation(d['c_0101_3']), 'c_1001_3' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_0101_3']), 'c_1001_8' : negation(d['c_0101_11']), 'c_1010_12' : negation(d['c_0110_6']), 'c_1010_11' : negation(d['c_0110_6']), 'c_1010_10' : d['c_1001_2'], '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_0'], '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_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' : d['1'], 's_0_2' : 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_0011_11']), 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0011_12']), 'c_1100_4' : d['c_0011_9'], 'c_1100_7' : negation(d['c_0011_11']), 'c_1100_6' : negation(d['c_0011_11']), 'c_1100_1' : negation(d['c_0011_11']), 'c_1100_0' : d['c_0011_9'], 'c_1100_3' : d['c_0011_9'], 'c_1100_2' : negation(d['c_0101_3']), 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0011_12']), 'c_1100_10' : negation(d['c_0101_11']), 's_3_10' : d['1'], 'c_1010_7' : d['c_1001_1'], 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : negation(d['c_0101_11']), 'c_1010_3' : negation(d['c_0101_3']), 'c_1010_2' : negation(d['c_0101_3']), 'c_1010_1' : negation(d['c_0110_6']), 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : negation(d['c_1001_2']), 'c_1010_8' : d['c_1001_2'], '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'], 'c_1100_12' : negation(d['c_0011_12']), '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' : 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_0']), 'c_0011_7' : negation(d['c_0011_12']), 'c_0011_6' : negation(d['c_0011_12']), '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' : d['c_0101_5'], 'c_0110_10' : d['c_0101_3'], 'c_0110_12' : negation(d['c_0101_0']), 'c_0101_12' : d['c_0101_1'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : negation(d['c_0101_0']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], '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_0101_5']), 'c_0101_8' : negation(d['c_0101_5']), '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' : d['c_0101_11'], 'c_0110_8' : negation(d['c_0011_10']), 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0101_3']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_5']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_5'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0110_6']})} 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_0011_9, c_0101_0, c_0101_1, c_0101_11, c_0101_3, c_0101_5, c_0110_6, c_1001_1, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t - 10000597/584864*c_1001_2^3 + 1443935973/584864*c_1001_2^2 + 544369099/584864*c_1001_2 - 193769213/83552, c_0011_0 - 1, c_0011_10 - 10/2611*c_1001_2^3 + 1461/2611*c_1001_2^2 - 1707/2611*c_1001_2 - 655/373, c_0011_11 - 1, c_0011_12 - 25/5222*c_1001_2^3 + 7305/10444*c_1001_2^2 - 5573/5222*c_1001_2 - 1037/1492, c_0011_9 - 20/2611*c_1001_2^3 + 2922/2611*c_1001_2^2 - 3414/2611*c_1001_2 - 191/373, c_0101_0 - 1, c_0101_1 - 10/2611*c_1001_2^3 + 1461/2611*c_1001_2^2 - 1707/2611*c_1001_2 + 91/373, c_0101_11 + 10/2611*c_1001_2^3 - 1461/2611*c_1001_2^2 + 1707/2611*c_1001_2 - 91/373, c_0101_3 + 10/2611*c_1001_2^3 - 1461/2611*c_1001_2^2 + 1707/2611*c_1001_2 + 282/373, c_0101_5 + 13/2611*c_1001_2^3 - 266/373*c_1001_2^2 - 413/373*c_1001_2 + 552/2611, c_0110_6 - 131/10444*c_1001_2^3 + 9439/5222*c_1001_2^2 + 13409/10444*c_1001_2 - 467/746, c_1001_1 - 5/746*c_1001_2^3 + 1461/1492*c_1001_2^2 + 79/746*c_1001_2 + 637/1492, c_1001_2^4 - 144*c_1001_2^3 - 110*c_1001_2^2 + 112*c_1001_2 + 49 ], 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_0011_9, c_0101_0, c_0101_1, c_0101_11, c_0101_3, c_0101_5, c_0110_6, c_1001_1, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 1567/12*c_1001_2^7 + 11639/36*c_1001_2^6 + 28519/36*c_1001_2^5 + 5379/2*c_1001_2^4 + 70921/36*c_1001_2^3 - 4000/3*c_1001_2^2 + 33613/36*c_1001_2 - 830/9, c_0011_0 - 1, c_0011_10 + 2/3*c_1001_2^7 + 13/9*c_1001_2^6 + 32/9*c_1001_2^5 + 37/3*c_1001_2^4 + 53/9*c_1001_2^3 - 31/3*c_1001_2^2 + 44/9*c_1001_2 - 13/9, c_0011_11 - 5/9*c_1001_2^7 - 8/9*c_1001_2^6 - 20/9*c_1001_2^5 - 76/9*c_1001_2^4 + 13/9*c_1001_2^3 + 113/9*c_1001_2^2 - 23/3*c_1001_2 + 25/9, c_0011_12 - 1/3*c_1001_2^7 - 2/9*c_1001_2^6 - 4/9*c_1001_2^5 - 3*c_1001_2^4 + 71/9*c_1001_2^3 + 14*c_1001_2^2 - 73/9*c_1001_2 + 29/9, c_0011_9 + 2/3*c_1001_2^7 + 13/9*c_1001_2^6 + 32/9*c_1001_2^5 + 37/3*c_1001_2^4 + 53/9*c_1001_2^3 - 31/3*c_1001_2^2 + 44/9*c_1001_2 - 13/9, c_0101_0 - 1, c_0101_1 - 5/9*c_1001_2^7 - 8/9*c_1001_2^6 - 20/9*c_1001_2^5 - 76/9*c_1001_2^4 + 13/9*c_1001_2^3 + 113/9*c_1001_2^2 - 23/3*c_1001_2 + 25/9, c_0101_11 + 1, c_0101_3 + 1/9*c_1001_2^7 + 4/9*c_1001_2^6 + 10/9*c_1001_2^5 + 29/9*c_1001_2^4 + 46/9*c_1001_2^3 + 8/9*c_1001_2^2 - 7/3*c_1001_2 + 13/9, c_0101_5 - 4/3*c_1001_2^7 - 23/9*c_1001_2^6 - 55/9*c_1001_2^5 - 68/3*c_1001_2^4 - 37/9*c_1001_2^3 + 82/3*c_1001_2^2 - 148/9*c_1001_2 + 35/9, c_0110_6 - 1/3*c_1001_2^7 - 2/9*c_1001_2^6 - 4/9*c_1001_2^5 - 3*c_1001_2^4 + 71/9*c_1001_2^3 + 14*c_1001_2^2 - 73/9*c_1001_2 + 29/9, c_1001_1 + 5/9*c_1001_2^7 + c_1001_2^6 + 22/9*c_1001_2^5 + 82/9*c_1001_2^4 + 7/9*c_1001_2^3 - 101/9*c_1001_2^2 + 65/9*c_1001_2 - 17/9, c_1001_2^8 + 2*c_1001_2^7 + 5*c_1001_2^6 + 18*c_1001_2^5 + 6*c_1001_2^4 - 15*c_1001_2^3 + 14*c_1001_2^2 - 5*c_1001_2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.080 Total time: 0.290 seconds, Total memory usage: 32.09MB