Magma V2.19-8 Wed Aug 21 2013 00:28:13 on localhost [Seed = 2732896584] Type ? for help. Type -D to quit. Loading file "K14n15858__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K14n15858 geometric_solution 12.32181426 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 0 0 0 0 0 0 0 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 1 0 -1 0 0 0 0 16 -15 0 -1 -15 0 15 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.349509790441 0.720636379988 0 5 2 6 0132 0132 1023 0132 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 1 -1 0 0 0 -1 1 15 0 0 -15 -16 16 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.531149976833 1.183600792916 7 0 1 8 0132 0132 1023 0132 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 -1 1 0 -1 0 1 0 0 0 0 0 -15 15 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.470025170816 1.136129837556 9 7 8 0 0132 0321 2031 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 0 0 0 15 0 -15 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.521114267111 0.967216414232 10 10 0 5 0132 1302 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 1 -1 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 0.583200725362 0.594139653852 7 1 4 8 1023 0132 0132 2031 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 -1 1 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 0.452302360715 0.712270123933 11 12 1 9 0132 0132 0132 2103 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 1 0 -1 0 -1 1 0 0 0 -15 15 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.580946943759 0.970412052354 2 5 12 3 0132 1023 0321 0321 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 1 0 -1 0 15 0 0 -15 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.555903142462 0.742725359711 9 5 2 3 1023 1302 0132 1302 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 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 0.885502531837 0.607422483034 3 8 11 6 0132 1023 0132 2103 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 0 0 0 0 0 -16 16 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.875140835411 0.567545713193 4 11 12 4 0132 0213 2031 2031 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 0 -1 0 1 0 16 -16 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.791305541327 1.127991407431 6 12 10 9 0132 3012 0213 0132 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 0 1 0 0 16 0 -16 1 15 -16 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.513392837107 0.524619408357 11 6 7 10 1230 0132 0321 1302 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 0 0 0 -16 0 0 16 -15 15 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.201948588005 1.251354892821 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_11']), 'c_1001_10' : negation(d['c_0011_11']), 'c_1001_12' : negation(d['c_0110_8']), 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : d['c_0101_1'], 'c_1001_7' : d['c_0101_10'], 'c_1001_6' : d['c_1001_5'], 'c_1001_1' : negation(d['c_0011_3']), 'c_1001_0' : d['c_0110_5'], 'c_1001_3' : negation(d['c_0110_8']), 'c_1001_2' : d['c_0101_1'], 'c_1001_9' : negation(d['c_0101_12']), 'c_1001_8' : d['c_0110_5'], 'c_1010_12' : d['c_1001_5'], 'c_1010_11' : negation(d['c_0101_12']), 'c_1010_10' : negation(d['c_0011_10']), 's_0_10' : d['1'], 's_3_10' : 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_0011_10'], '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_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_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_11'], 'c_1100_5' : negation(d['c_1010_8']), 'c_1100_4' : negation(d['c_1010_8']), 'c_1100_7' : negation(d['c_0110_8']), 'c_1100_6' : negation(d['c_0101_3']), 'c_1100_1' : negation(d['c_0101_3']), 'c_1100_0' : negation(d['c_1010_8']), 'c_1100_3' : negation(d['c_1010_8']), 'c_1100_2' : d['c_0101_3'], 's_3_11' : d['1'], 'c_1100_9' : negation(d['c_0011_10']), 'c_1100_11' : negation(d['c_0011_10']), 'c_1100_10' : negation(d['c_1001_5']), 's_0_11' : d['1'], 'c_1010_7' : d['c_0110_5'], 'c_1010_6' : negation(d['c_0110_8']), 'c_1010_5' : negation(d['c_0011_3']), 'c_1010_4' : d['c_1001_5'], 'c_1010_3' : d['c_0110_5'], 'c_1010_2' : d['c_0110_5'], 'c_1010_1' : d['c_1001_5'], 'c_1010_0' : d['c_0101_1'], 'c_1010_9' : d['c_0110_8'], 'c_1010_8' : d['c_1010_8'], 'c_1100_8' : d['c_0101_3'], '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' : d['c_0101_10'], '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_3']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : negation(d['c_0011_11']), '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_0'], 'c_0110_10' : d['c_0101_1'], 'c_0110_12' : d['c_0011_11'], 'c_0101_12' : d['c_0101_12'], 'c_0101_7' : negation(d['c_0101_12']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_10'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_3']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0101_8' : negation(d['c_0101_12']), 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_3'], 'c_0110_8' : d['c_0110_8'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_12']), 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : negation(d['c_0011_3']), 'c_0110_6' : 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_3, c_0101_0, c_0101_1, c_0101_10, c_0101_12, c_0101_3, c_0110_5, c_0110_8, c_1001_5, c_1010_8 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t + 8950016/319*c_1010_8^3 - 16607680/319*c_1010_8^2 - 12637824/319*c_1010_8 - 2617696/319, c_0011_0 - 1, c_0011_10 + 4*c_1010_8^3 - 5*c_1010_8^2 - 11*c_1010_8 - 7/2, c_0011_11 + 4*c_1010_8^3 - 6*c_1010_8^2 - 9*c_1010_8 - 1, c_0011_3 + 2*c_1010_8^3 - 3*c_1010_8^2 - 5*c_1010_8 - 1/2, c_0101_0 - 2*c_1010_8^3 + 2*c_1010_8^2 + 6*c_1010_8 + 2, c_0101_1 + 2*c_1010_8^3 - 3*c_1010_8^2 - 4*c_1010_8 - 1/2, c_0101_10 - 4*c_1010_8^3 + 5*c_1010_8^2 + 10*c_1010_8 + 3/2, c_0101_12 + 2*c_1010_8^3 - 3*c_1010_8^2 - 4*c_1010_8 - 1/2, c_0101_3 + 4*c_1010_8^3 - 5*c_1010_8^2 - 10*c_1010_8 - 5/2, c_0110_5 - 4*c_1010_8^3 + 6*c_1010_8^2 + 9*c_1010_8 + 2, c_0110_8 - 4*c_1010_8^3 + 6*c_1010_8^2 + 10*c_1010_8 + 2, c_1001_5 - 2*c_1010_8^3 + 3*c_1010_8^2 + 4*c_1010_8 - 1/2, c_1010_8^4 - c_1010_8^3 - 3*c_1010_8^2 - 3/2*c_1010_8 - 1/4 ], 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_3, c_0101_0, c_0101_1, c_0101_10, c_0101_12, c_0101_3, c_0110_5, c_0110_8, c_1001_5, c_1010_8 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t - 491464*c_1010_8^3 - 3721517/2*c_1010_8^2 - 3042333*c_1010_8 - 4596383/2, c_0011_0 - 1, c_0011_10 + c_1010_8^3 + 2*c_1010_8^2 + 3*c_1010_8 + 1, c_0011_11 + c_1010_8^3 + 2*c_1010_8^2 + 2*c_1010_8, c_0011_3 - c_1010_8^3 - 2*c_1010_8^2 - 3*c_1010_8, c_0101_0 + 2*c_1010_8^3 + 5*c_1010_8^2 + 7*c_1010_8 + 2, c_0101_1 - c_1010_8^3 - 2*c_1010_8^2 - 2*c_1010_8, c_0101_10 - 3*c_1010_8^3 - 7*c_1010_8^2 - 9*c_1010_8 - 2, c_0101_12 + 2*c_1010_8^3 + 4*c_1010_8^2 + 5*c_1010_8, c_0101_3 - 3*c_1010_8^3 - 7*c_1010_8^2 - 9*c_1010_8 - 2, c_0110_5 + 2*c_1010_8^3 + 4*c_1010_8^2 + 5*c_1010_8 + 1, c_0110_8 + 2*c_1010_8^3 + 4*c_1010_8^2 + 6*c_1010_8 + 1, c_1001_5 - 2*c_1010_8^3 - 4*c_1010_8^2 - 5*c_1010_8 - 1, c_1010_8^4 + 4*c_1010_8^3 + 7*c_1010_8^2 + 6*c_1010_8 + 1 ], 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_3, c_0101_0, c_0101_1, c_0101_10, c_0101_12, c_0101_3, c_0110_5, c_0110_8, c_1001_5, c_1010_8 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 8379532366/221247*c_1010_8^7 - 250693390/73749*c_1010_8^6 + 29779982543/221247*c_1010_8^5 + 15125331092/221247*c_1010_8^4 - 189341153263/442494*c_1010_8^3 - 344828077141/442494*c_1010_8^2 - 8620542773/17019*c_1010_8 - 52562730215/442494, c_0011_0 - 1, c_0011_10 + 6308/793*c_1010_8^7 - 400/793*c_1010_8^6 - 22998/793*c_1010_8^5 - 7006/793*c_1010_8^4 + 1219/13*c_1010_8^3 + 115686/793*c_1010_8^2 + 4659/61*c_1010_8 + 8589/793, c_0011_11 - 7572/793*c_1010_8^7 + 2568/793*c_1010_8^6 + 25430/793*c_1010_8^5 + 2442/793*c_1010_8^4 - 1385/13*c_1010_8^3 - 118740/793*c_1010_8^2 - 4414/61*c_1010_8 - 7038/793, c_0011_3 + 1284/793*c_1010_8^7 - 536/793*c_1010_8^6 - 4458/793*c_1010_8^5 + 350/793*c_1010_8^4 + 237/13*c_1010_8^3 + 18084/793*c_1010_8^2 + 603/61*c_1010_8 + 550/793, c_0101_0 - 368/793*c_1010_8^7 - 212/793*c_1010_8^6 + 1752/793*c_1010_8^5 + 458/793*c_1010_8^4 - 74/13*c_1010_8^3 - 7725/793*c_1010_8^2 - 463/61*c_1010_8 - 1546/793, c_0101_1 + 1284/793*c_1010_8^7 - 536/793*c_1010_8^6 - 4458/793*c_1010_8^5 + 350/793*c_1010_8^4 + 237/13*c_1010_8^3 + 18084/793*c_1010_8^2 + 542/61*c_1010_8 + 550/793, c_0101_10 + 1988/793*c_1010_8^7 - 820/793*c_1010_8^6 - 7258/793*c_1010_8^5 + 784/793*c_1010_8^4 + 391/13*c_1010_8^3 + 26139/793*c_1010_8^2 + 709/61*c_1010_8 + 1232/793, c_0101_12 + 3720/793*c_1010_8^7 - 960/793*c_1010_8^6 - 12056/793*c_1010_8^5 - 3492/793*c_1010_8^4 + 674/13*c_1010_8^3 + 64488/793*c_1010_8^2 + 2605/61*c_1010_8 + 5388/793, c_0101_3 - 1652/793*c_1010_8^7 + 324/793*c_1010_8^6 + 6210/793*c_1010_8^5 + 108/793*c_1010_8^4 - 311/13*c_1010_8^3 - 25809/793*c_1010_8^2 - 1005/61*c_1010_8 - 2096/793, c_0110_5 - 2568/793*c_1010_8^7 + 1072/793*c_1010_8^6 + 8916/793*c_1010_8^5 - 700/793*c_1010_8^4 - 474/13*c_1010_8^3 - 36168/793*c_1010_8^2 - 1145/61*c_1010_8 - 1893/793, c_0110_8 + 2568/793*c_1010_8^7 - 1072/793*c_1010_8^6 - 8916/793*c_1010_8^5 + 700/793*c_1010_8^4 + 474/13*c_1010_8^3 + 36168/793*c_1010_8^2 + 1206/61*c_1010_8 + 1893/793, c_1001_5 - 3720/793*c_1010_8^7 + 960/793*c_1010_8^6 + 12056/793*c_1010_8^5 + 3492/793*c_1010_8^4 - 674/13*c_1010_8^3 - 64488/793*c_1010_8^2 - 2605/61*c_1010_8 - 4595/793, c_1010_8^8 - 7/2*c_1010_8^6 - 3/2*c_1010_8^5 + 45/4*c_1010_8^4 + 39/2*c_1010_8^3 + 49/4*c_1010_8^2 + 3*c_1010_8 + 1/4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 4.260 Total time: 4.459 seconds, Total memory usage: 64.12MB