Magma V2.19-8 Tue Aug 20 2013 16:17:54 on localhost [Seed = 1393741715] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2127 geometric_solution 5.61755709 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 4 0132 0132 0132 0132 0 0 0 0 0 1 0 -1 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 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.707520572412 0.425861847429 0 5 6 5 0132 0132 0132 2310 0 0 0 0 0 0 1 -1 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 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 0.768160873874 0.477104104863 4 0 2 2 1302 0132 2031 1302 0 0 0 0 0 -1 0 1 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 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 0.697935298436 0.229964213924 6 4 6 0 0321 2031 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.664625601117 1.967134370770 3 2 0 5 1302 2031 0132 0132 0 0 0 0 0 -1 1 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 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 -0.037505881974 0.624482437464 1 1 4 6 3201 0132 0132 3012 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 -1 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 0 0 0 0.823942764930 1.695600228869 3 3 5 1 0321 1230 1230 0132 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 -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 0.766382563146 0.343312946219 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : d['1'], '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_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_0_6' : 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_6' : d['c_0011_0'], 'c_1100_5' : negation(d['c_1001_6']), 'c_1100_4' : negation(d['c_1001_6']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : negation(d['c_1001_6']), 'c_1100_3' : negation(d['c_1001_6']), 'c_1100_2' : negation(d['c_0011_4']), 'c_0101_6' : negation(d['c_0101_3']), 'c_0101_5' : d['c_0011_6'], 'c_0101_4' : negation(d['c_0011_3']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_4']), 'c_0101_1' : negation(d['c_0011_3']), 'c_0101_0' : negation(d['c_0011_6']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_6'], '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_1001_5' : negation(d['c_0011_0']), 'c_1001_4' : negation(d['c_0110_2']), 'c_1001_6' : d['c_1001_6'], 'c_1001_1' : d['c_0101_3'], 'c_1001_0' : d['c_0011_4'], 'c_1001_3' : negation(d['c_0011_6']), 'c_1001_2' : negation(d['c_0110_2']), 'c_0110_1' : negation(d['c_0011_6']), 'c_0110_0' : negation(d['c_0011_3']), 'c_0110_3' : negation(d['c_0011_6']), 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : d['c_0011_0'], 'c_0110_4' : d['c_0011_6'], 'c_0110_6' : negation(d['c_0011_3']), 'c_1010_6' : d['c_0101_3'], 'c_1010_5' : d['c_0101_3'], 'c_1010_4' : negation(d['c_0011_0']), 'c_1010_3' : d['c_0011_4'], 'c_1010_2' : d['c_0011_4'], 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(d['c_0110_2'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_4, c_0011_6, c_0101_3, c_0110_2, c_1001_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t - 119398489/3155049*c_1001_6^13 + 96909623/1051683*c_1001_6^12 + 353187616/3155049*c_1001_6^11 - 280081247/3155049*c_1001_6^10 - 1072558337/3155049*c_1001_6^9 - 1792365620/3155049*c_1001_6^8 - 403100636/3155049*c_1001_6^7 + 4128567515/3155049*c_1001_6^6 + 541399490/350561*c_1001_6^5 + 797329183/3155049*c_1001_6^4 - 1072010398/3155049*c_1001_6^3 - 1872199276/3155049*c_1001_6^2 - 974331680/3155049*c_1001_6 - 283078642/3155049, c_0011_0 - 1, c_0011_3 - c_1001_6, c_0011_4 + 80566/350561*c_1001_6^13 - 199485/350561*c_1001_6^12 - 223345/350561*c_1001_6^11 + 181906/350561*c_1001_6^10 + 730578/350561*c_1001_6^9 + 1129542/350561*c_1001_6^8 + 250012/350561*c_1001_6^7 - 2851657/350561*c_1001_6^6 - 3000482/350561*c_1001_6^5 - 291618/350561*c_1001_6^4 + 975826/350561*c_1001_6^3 + 1123339/350561*c_1001_6^2 + 417761/350561*c_1001_6 - 92019/350561, c_0011_6 + 467001/350561*c_1001_6^13 - 1057773/350561*c_1001_6^12 - 1635099/350561*c_1001_6^11 + 1001116/350561*c_1001_6^10 + 4586002/350561*c_1001_6^9 + 7565258/350561*c_1001_6^8 + 2220076/350561*c_1001_6^7 - 16786772/350561*c_1001_6^6 - 22039081/350561*c_1001_6^5 - 4288230/350561*c_1001_6^4 + 6193380/350561*c_1001_6^3 + 8085994/350561*c_1001_6^2 + 4385527/350561*c_1001_6 + 1042152/350561, c_0101_3 - 192158/350561*c_1001_6^13 + 533724/350561*c_1001_6^12 + 364856/350561*c_1001_6^11 - 532489/350561*c_1001_6^10 - 1453650/350561*c_1001_6^9 - 2456964/350561*c_1001_6^8 - 51765/350561*c_1001_6^7 + 6392821/350561*c_1001_6^6 + 5636306/350561*c_1001_6^5 + 266951/350561*c_1001_6^4 - 713242/350561*c_1001_6^3 - 3110248/350561*c_1001_6^2 - 1403555/350561*c_1001_6 - 433636/350561, c_0110_2 + 464096/350561*c_1001_6^13 - 1188675/350561*c_1001_6^12 - 1236745/350561*c_1001_6^11 + 1283287/350561*c_1001_6^10 + 4041576/350561*c_1001_6^9 + 6335461/350561*c_1001_6^8 + 777558/350561*c_1001_6^7 - 16210992/350561*c_1001_6^6 - 16720192/350561*c_1001_6^5 - 658625/350561*c_1001_6^4 + 4102831/350561*c_1001_6^3 + 5875580/350561*c_1001_6^2 + 3016862/350561*c_1001_6 + 713641/350561, c_1001_6^14 - 2*c_1001_6^13 - 4*c_1001_6^12 + c_1001_6^11 + 10*c_1001_6^10 + 19*c_1001_6^9 + 10*c_1001_6^8 - 33*c_1001_6^7 - 56*c_1001_6^6 - 25*c_1001_6^5 + 6*c_1001_6^4 + 20*c_1001_6^3 + 15*c_1001_6^2 + 6*c_1001_6 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.220 seconds, Total memory usage: 32.09MB