Magma V2.19-8 Wed Aug 21 2013 00:54:42 on localhost [Seed = 2513670104] Type ? for help. Type -D to quit. Loading file "L12n559__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n559 geometric_solution 11.85554320 oriented_manifold CS_known -0.0000000000000000 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 0 1 1 0 0 0 0 -1 0 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 -1 0 1 -1 0 0 1 6 0 0 -6 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.621275256590 1.210903412712 0 5 7 6 0132 0132 0132 0132 1 0 1 1 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 1 0 -1 0 0 0 0 0 -6 0 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.410903457492 1.012970064783 5 0 9 8 0132 0132 0132 0132 1 0 1 1 0 0 0 0 1 0 0 -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 1 0 -1 1 0 0 -1 0 -1 0 1 -5 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.007332382245 0.857995024268 10 9 6 0 0132 0132 0132 0132 1 0 1 1 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 -1 0 1 0 -1 0 0 1 0 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.450203123017 0.762614919974 11 6 0 7 0132 0132 0132 0132 1 0 1 1 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 1 0 -1 0 0 0 0 0 0 -6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.309057753908 0.719250683416 2 1 11 7 0132 0132 3120 3120 1 0 1 1 0 0 0 0 -1 0 0 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 -1 0 0 1 5 0 0 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.597724835495 0.506368340891 8 4 1 3 0132 0132 0132 0132 1 0 1 1 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 1 0 0 -1 -1 6 0 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.396442110728 0.867795088268 5 12 4 1 3120 0132 0132 0132 1 0 1 1 0 0 0 0 -1 0 0 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 1 -1 0 -1 0 0 1 5 1 0 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.805135711768 0.620064879299 6 12 2 10 0132 3201 0132 0132 1 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 0 0 0 0 0 0 0 0 -1 1 0 -1 0 1 0 0 -1 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.116706958581 0.648341194836 11 3 10 2 3120 0132 0132 0132 1 0 1 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 0 0 0 -1 0 1 0 0 5 0 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.009959644610 1.165422809919 3 12 8 9 0132 3012 0132 0132 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 0 0 0 0 0 0 1 0 0 -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 0.268930603547 1.493987941697 4 12 5 9 0132 2310 3120 3120 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 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 0.749552587741 1.514979531608 10 7 8 11 1230 0132 2310 3201 1 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 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 0.528522916415 1.080071013593 ==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_0011_12']), 'c_1001_12' : d['c_0011_12'], 'c_1001_5' : negation(d['c_1001_11']), 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : negation(d['c_1001_11']), 'c_1001_6' : negation(d['c_1001_11']), 'c_1001_1' : d['c_0011_12'], 'c_1001_0' : negation(d['c_0101_12']), 'c_1001_3' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_0101_12']), 'c_1001_8' : negation(d['c_0101_12']), 'c_1010_12' : negation(d['c_1001_11']), 'c_1010_11' : negation(d['c_0011_10']), 'c_1010_10' : negation(d['c_0101_12']), 's_0_10' : negation(d['1']), 's_0_11' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : negation(d['1']), 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_0'], 's_2_0' : negation(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' : 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' : d['1'], 's_0_3' : negation(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_12'], 'c_1100_5' : negation(d['c_0101_11']), 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_1100_0'], 'c_1100_6' : d['c_1100_0'], 'c_1100_1' : d['c_1100_0'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_1100_10'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0101_3']), 'c_1100_10' : d['c_1100_10'], 's_3_10' : d['1'], 'c_1010_7' : d['c_0011_12'], 'c_1010_6' : d['c_1001_2'], 'c_1010_5' : d['c_0011_12'], 'c_1010_4' : negation(d['c_1001_11']), 'c_1010_3' : negation(d['c_0101_12']), 'c_1010_2' : negation(d['c_0101_12']), 'c_1010_1' : negation(d['c_1001_11']), 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_2'], 'c_1010_8' : negation(d['c_0011_12']), 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : negation(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' : negation(d['1']), 'c_1100_12' : negation(d['c_0011_11']), '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' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_10'], 'c_0011_8' : negation(d['c_0011_11']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_11']), 'c_0011_7' : negation(d['c_0011_12']), 'c_0011_6' : d['c_0011_11'], '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_1'], 'c_0110_10' : d['c_0101_3'], 'c_0110_12' : d['c_0011_10'], 'c_0101_12' : d['c_0101_12'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_11'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_3'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_3'], 'c_0101_8' : d['c_0101_3'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_1'], 'c_0110_8' : d['c_0101_0'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_1100_10'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_3'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_11'], 'c_0110_7' : d['c_0101_1'], 'c_1100_8' : d['c_1100_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_11, c_0101_12, c_0101_3, c_1001_11, c_1001_2, c_1100_0, c_1100_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 1210831110307/85213777664*c_1100_10^7 + 209323072375/42606888832*c_1100_10^6 - 4041835845203/85213777664*c_1100_10^5 + 10045390581/10651722208*c_1100_10^4 - 642047546609/10651722208*c_1100_10^3 + 360611646629/10651722208*c_1100_10^2 - 12808744843/5325861104*c_1100_10 + 43873944805/1331465276, c_0011_0 - 1, c_0011_10 - 160693/401080*c_1100_10^7 + 378023/401080*c_1100_10^6 - 978511/401080*c_1100_10^5 + 1450163/401080*c_1100_10^4 - 683793/200540*c_1100_10^3 + 486477/100270*c_1100_10^2 - 50932/50135*c_1100_10 + 157291/50135, c_0011_11 - 768001/802160*c_1100_10^7 + 162769/200540*c_1100_10^6 - 3454617/802160*c_1100_10^5 + 102113/401080*c_1100_10^4 - 1158293/200540*c_1100_10^3 - 208053/100270*c_1100_10^2 - 212562/50135*c_1100_10 - 88179/50135, c_0011_12 - 8151/80216*c_1100_10^7 - 49609/160432*c_1100_10^6 - 12133/40108*c_1100_10^5 - 262125/160432*c_1100_10^4 - 45673/40108*c_1100_10^3 - 90269/40108*c_1100_10^2 - 16131/10027*c_1100_10 - 15111/10027, c_0101_0 - 1, c_0101_1 - 1053/4336*c_1100_10^7 + 799/4336*c_1100_10^6 - 4661/4336*c_1100_10^5 + 3057/4336*c_1100_10^4 - 3709/2168*c_1100_10^3 + 1671/1084*c_1100_10^2 - 192/271*c_1100_10 + 294/271, c_0101_11 - 13/4336*c_1100_10^7 + 161/271*c_1100_10^6 - 2801/4336*c_1100_10^5 + 5745/2168*c_1100_10^4 - 329/271*c_1100_10^3 + 3915/1084*c_1100_10^2 - 173/271*c_1100_10 + 646/271, c_0101_12 + 309881/401080*c_1100_10^7 + 1103/50135*c_1100_10^6 + 319733/100270*c_1100_10^5 + 1090879/401080*c_1100_10^4 + 237204/50135*c_1100_10^3 + 287248/50135*c_1100_10^2 + 202154/50135*c_1100_10 + 167598/50135, c_0101_3 + 2535/4336*c_1100_10^7 - 1027/2168*c_1100_10^6 + 11241/4336*c_1100_10^5 + 39/2168*c_1100_10^4 + 1753/542*c_1100_10^3 + 533/542*c_1100_10^2 + 673/271*c_1100_10 + 316/271, c_1001_11 + 21749/320864*c_1100_10^7 + 40005/160432*c_1100_10^6 + 22705/320864*c_1100_10^5 + 50991/40108*c_1100_10^4 + 7054/10027*c_1100_10^3 + 72901/40108*c_1100_10^2 + 29269/20054*c_1100_10 + 18152/10027, c_1001_2 + 46839/200540*c_1100_10^7 - 531911/802160*c_1100_10^6 + 543281/401080*c_1100_10^5 - 1617471/802160*c_1100_10^4 + 139829/100270*c_1100_10^3 - 104801/50135*c_1100_10^2 + 50482/50135*c_1100_10 - 76911/50135, c_1100_0 - 897/4336*c_1100_10^7 - 1929/4336*c_1100_10^6 - 3569/4336*c_1100_10^5 - 10705/4336*c_1100_10^4 - 2187/1084*c_1100_10^3 - 1097/271*c_1100_10^2 - 555/271*c_1100_10 - 683/271, c_1100_10^8 - 2/13*c_1100_10^7 + 5*c_1100_10^6 + 24/13*c_1100_10^5 + 140/13*c_1100_10^4 + 64/13*c_1100_10^3 + 160/13*c_1100_10^2 + 64/13*c_1100_10 + 64/13 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.150 Total time: 0.360 seconds, Total memory usage: 32.09MB