Magma V2.19-8 Tue Aug 20 2013 23:47:06 on localhost [Seed = 1679953496] Type ? for help. Type -D to quit. Loading file "K14n8192__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K14n8192 geometric_solution 10.90041574 oriented_manifold CS_known -0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 12 1 2 3 2 0132 0132 0132 1230 0 0 0 0 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 1 0 -1 0 0 3 -3 -1 1 0 0 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.793426522343 0.997679536419 0 4 6 5 0132 0132 0132 0132 0 0 0 0 0 0 0 0 0 0 1 -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 0 0 0 0 0 2 -2 0 -2 0 2 1 -3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.311053572756 0.459717883291 0 0 7 4 3012 0132 0132 0132 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 -1 1 0 1 0 0 -1 3 -3 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.199003952560 0.961121308445 8 9 10 0 0132 0132 0132 0132 0 0 0 0 0 0 0 0 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 3 0 0 -3 0 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.388569910046 0.949863490018 6 1 2 8 0321 0132 0132 0213 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 -1 0 1 0 0 3 0 -3 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.631067350950 0.901859985933 8 9 1 11 2103 0213 0132 0132 0 0 0 0 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 0 0 0 0 2 -2 -1 0 0 1 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.161739251563 1.341982284842 4 11 10 1 0321 3012 3120 0132 0 0 0 0 0 0 0 0 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 2 0 0 -2 0 2 0 -2 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.168716676319 1.252236967558 10 9 8 2 1023 0321 0213 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 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.803029783622 0.494451449659 3 7 5 4 0132 0213 2103 0213 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 1 0 -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 0 0 0 0.793426522343 0.997679536419 11 3 5 7 1023 0132 0213 0321 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 1 0 0 -1 -1 3 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.268143252098 0.626868932728 11 7 6 3 3120 1023 3120 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.267313296345 0.964526902637 6 9 5 10 1230 1023 0132 3120 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 -2 0 2 0 1 -1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.426426711385 1.204420921157 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_5'], 'c_1001_10' : d['c_0011_11'], 'c_1001_5' : d['c_1001_0'], 'c_1001_4' : d['c_1001_0'], 'c_1001_7' : d['c_0011_5'], 'c_1001_6' : negation(d['c_0011_11']), 'c_1001_1' : negation(d['c_0101_11']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0101_2'], 'c_1001_2' : d['c_0101_2'], 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : d['c_0011_5'], 'c_1010_11' : negation(d['c_0011_10']), '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_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' : 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_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_1100_9' : d['c_0011_5'], 'c_1100_8' : negation(d['c_0101_11']), 'c_1100_5' : negation(d['c_0101_10']), 'c_1100_4' : d['c_1010_8'], 'c_1100_7' : d['c_1010_8'], 'c_1100_6' : negation(d['c_0101_10']), 'c_1100_1' : negation(d['c_0101_10']), 'c_1100_0' : d['c_0101_4'], 'c_1100_3' : d['c_0101_4'], 'c_1100_2' : d['c_1010_8'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0101_10']), 'c_1100_10' : d['c_0101_4'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0101_2'], 'c_1010_6' : negation(d['c_0101_11']), 'c_1010_5' : d['c_0011_5'], 'c_1010_4' : negation(d['c_0101_11']), '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_0101_2'], 'c_1010_9' : d['c_0101_2'], 'c_1010_8' : d['c_1010_8'], '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' : d['c_0011_11'], 'c_0011_8' : d['c_0011_11'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_10'], 'c_0110_6' : negation(d['c_0011_0']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_11']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0011_6'], 'c_0110_10' : d['c_0011_6'], 'c_0110_0' : negation(d['c_0011_0']), 'c_0011_6' : d['c_0011_6'], 'c_0101_7' : d['c_0011_11'], 'c_0101_6' : negation(d['c_0101_4']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0011_6'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_5'], 'c_0101_8' : d['c_0101_0'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_10']), 'c_0110_8' : d['c_0011_6'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : d['c_0101_11'], 'c_0110_4' : negation(d['c_0011_6']), 'c_0110_7' : d['c_0101_2'], 'c_0011_10' : d['c_0011_10']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_5, c_0011_6, c_0101_0, c_0101_10, c_0101_11, c_0101_2, c_0101_4, c_1001_0, c_1010_8 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t + 9/10*c_1010_8^6 + 13/10*c_1010_8^5 + 19/10*c_1010_8^4 - 1/10*c_1010_8^3 + 1/5*c_1010_8^2 - 6/5*c_1010_8 + 3/10, c_0011_0 - 1, c_0011_10 - c_1010_8^6 - 2*c_1010_8^5 - 2*c_1010_8^4 - c_1010_8^3 - c_1010_8^2 - c_1010_8 + 1, c_0011_11 - c_1010_8^4 - c_1010_8^3 - c_1010_8^2 - 1, c_0011_5 + c_1010_8^6 - 2*c_1010_8^3 + c_1010_8^2 - 2*c_1010_8, c_0011_6 + c_1010_8^4 + c_1010_8^3 + 2*c_1010_8^2 + 1, c_0101_0 - c_1010_8, c_0101_10 + c_1010_8^5 + c_1010_8^4 + 2*c_1010_8^3 + c_1010_8^2 + 2*c_1010_8, c_0101_11 + c_1010_8^4 + c_1010_8^3 + c_1010_8^2 + 1, c_0101_2 - 1, c_0101_4 - c_1010_8^3 - c_1010_8^2 - 2*c_1010_8, c_1001_0 - c_1010_8^3 - c_1010_8^2 - c_1010_8, c_1010_8^7 + c_1010_8^6 + 2*c_1010_8^5 + 2*c_1010_8^3 - c_1010_8^2 + c_1010_8 - 1 ], Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_5, c_0011_6, c_0101_0, c_0101_10, c_0101_11, c_0101_2, c_0101_4, c_1001_0, c_1010_8 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 79/276*c_1010_8^7 + 767/1104*c_1010_8^6 - 101/1104*c_1010_8^5 - 2221/552*c_1010_8^4 + 3809/1104*c_1010_8^3 - 901/184*c_1010_8^2 - 755/368*c_1010_8 - 3155/1104, c_0011_0 - 1, c_0011_10 + c_1010_8^7 - 25/6*c_1010_8^6 + 26/3*c_1010_8^5 - 31/6*c_1010_8^4 + 5*c_1010_8^3 + 23/6*c_1010_8^2 + 22/3*c_1010_8 + 7/3, c_0011_11 - 1/12*c_1010_8^7 + 5/12*c_1010_8^6 - 7/6*c_1010_8^5 + 19/12*c_1010_8^4 - 11/6*c_1010_8^3 + 3/4*c_1010_8^2 - 5/4*c_1010_8 - 2/3, c_0011_5 - 3/4*c_1010_8^7 + 37/12*c_1010_8^6 - 19/3*c_1010_8^5 + 43/12*c_1010_8^4 - 4*c_1010_8^3 - 35/12*c_1010_8^2 - 65/12*c_1010_8 - 8/3, c_0011_6 - 1/4*c_1010_8^7 + 13/12*c_1010_8^6 - 7/3*c_1010_8^5 + 19/12*c_1010_8^4 - c_1010_8^3 - 23/12*c_1010_8^2 - 11/12*c_1010_8 + 1/3, c_0101_0 - 1/3*c_1010_8^7 + 5/3*c_1010_8^6 - 25/6*c_1010_8^5 + 29/6*c_1010_8^4 - 29/6*c_1010_8^3 + 3/2*c_1010_8^2 - 3/2*c_1010_8 + 5/6, c_0101_10 + 5/12*c_1010_8^7 - 25/12*c_1010_8^6 + 16/3*c_1010_8^5 - 77/12*c_1010_8^4 + 20/3*c_1010_8^3 - 9/4*c_1010_8^2 + 15/4*c_1010_8 - 1/6, c_0101_11 - 2/3*c_1010_8^7 + 37/12*c_1010_8^6 - 85/12*c_1010_8^5 + 37/6*c_1010_8^4 - 59/12*c_1010_8^3 - 3/2*c_1010_8^2 - 15/4*c_1010_8 - 1/12, c_0101_2 + 1/4*c_1010_8^7 - 13/12*c_1010_8^6 + 7/3*c_1010_8^5 - 19/12*c_1010_8^4 + c_1010_8^3 + 23/12*c_1010_8^2 + 11/12*c_1010_8 + 2/3, c_0101_4 + 2/3*c_1010_8^7 - 17/6*c_1010_8^6 + 35/6*c_1010_8^5 - 19/6*c_1010_8^4 + 13/6*c_1010_8^3 + 7/2*c_1010_8^2 + 7/2*c_1010_8 + 4/3, c_1001_0 + 1/3*c_1010_8^7 - 5/4*c_1010_8^6 + 9/4*c_1010_8^5 - 1/6*c_1010_8^4 + 1/12*c_1010_8^3 + 19/6*c_1010_8^2 + 23/12*c_1010_8 + 19/12, c_1010_8^8 - 4*c_1010_8^7 + 8*c_1010_8^6 - 4*c_1010_8^5 + 5*c_1010_8^4 + 4*c_1010_8^3 + 8*c_1010_8^2 + 4*c_1010_8 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.630 Total time: 0.840 seconds, Total memory usage: 32.09MB