Magma V2.19-8 Tue Aug 20 2013 16:14:36 on localhost [Seed = 2598045340] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s583 geometric_solution 5.04858018 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 6 0 0 1 2 1302 2031 0132 0132 0 0 0 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 1 0 -1 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 0.451031599372 0.331306276414 3 2 4 0 0132 3012 0132 0132 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.559894084973 1.057833040997 1 3 0 4 1230 0132 0132 3201 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 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 0.559894084973 1.057833040997 1 2 3 3 0132 0132 1230 3012 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.811014308742 1.100759826772 5 2 5 1 0132 2310 1023 0132 0 0 0 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 0 0 0 0 0 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 0.725509393521 1.773701697197 4 5 4 5 0132 1302 1023 2031 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.417706877100 0.180542895269 ==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_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_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_5' : d['c_0011_4'], 'c_1100_4' : negation(d['c_0011_4']), 'c_1100_1' : negation(d['c_0011_4']), 'c_1100_0' : negation(d['c_0011_4']), 'c_1100_3' : d['c_0101_1'], 'c_1100_2' : negation(d['c_0011_4']), 'c_0101_5' : d['c_0101_1'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_0']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_0']), 'c_0011_5' : negation(d['c_0011_4']), 'c_0011_4' : d['c_0011_4'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_1']), 'c_0011_2' : d['c_0011_1'], 'c_1001_5' : d['c_0101_4'], 'c_1001_4' : d['c_0101_1'], 'c_1001_1' : negation(d['c_0011_1']), 'c_1001_0' : negation(d['c_0101_2']), 'c_1001_3' : negation(d['c_0101_1']), 'c_1001_2' : d['c_0011_0'], 'c_0110_1' : negation(d['c_0011_0']), 'c_0110_0' : d['c_0101_2'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0011_1'], 'c_0110_5' : d['c_0101_4'], 'c_0110_4' : d['c_0101_1'], 'c_1010_5' : negation(d['c_0011_4']), 'c_1010_4' : negation(d['c_0011_1']), 'c_1010_3' : d['c_0011_0'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_2']), 'c_1010_0' : d['c_0011_0']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_4, c_0101_1, c_0101_2, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 17 Groebner basis: [ t - 604842684962995/2668429265141*c_0101_4^16 - 301753300193315/2668429265141*c_0101_4^15 + 5293432673615685/2668429265141*c_0101_4^14 - 4012070452517081/2668429265141*c_0101_4^13 - 21360274546551813/2668429265141*c_0101_4^12 + 20796777339659904/2668429265141*c_0101_4^11 + 56965984426995687/2668429265141*c_0101_4^10 - 13327138072985994/2668429265141*c_0101_4^9 - 75046599215451149/2668429265141*c_0101_4^8 - 28958689098080629/2668429265141*c_0101_4^7 + 35221187090417926/2668429265141*c_0101_4^6 + 46278176197711/2668429265141*c_0101_4^5 - 1232143935914711/2668429265141*c_0101_4^4 - 4856432320912084/2668429265141*c_0101_4^3 - 7243905827420902/2668429265141*c_0101_4^2 + 2429421023302970/2668429265141*c_0101_4 + 1229305034930891/2668429265141, c_0011_0 - 1, c_0011_1 - 61935799644290/2668429265141*c_0101_4^16 - 31045393190304/2668429265141*c_0101_4^15 + 542098687542968/2668429265141*c_0101_4^14 - 409563051908647/2668429265141*c_0101_4^13 - 2189332322373014/2668429265141*c_0101_4^12 + 2125856508231121/2668429265141*c_0101_4^11 + 5841885118495926/2668429265141*c_0101_4^10 - 1357167441269129/2668429265141*c_0101_4^9 - 7696079955620259/2668429265141*c_0101_4^8 - 2975948413529665/2668429265141*c_0101_4^7 + 3610210745548265/2668429265141*c_0101_4^6 + 10715455618628/2668429265141*c_0101_4^5 - 130733171756514/2668429265141*c_0101_4^4 - 489513671684149/2668429265141*c_0101_4^3 - 746739654487434/2668429265141*c_0101_4^2 + 245847690793873/2668429265141*c_0101_4 + 125323675360726/2668429265141, c_0011_4 + 70552289636287/2668429265141*c_0101_4^16 + 35078175935759/2668429265141*c_0101_4^15 - 617278633845728/2668429265141*c_0101_4^14 + 469317119608111/2668429265141*c_0101_4^13 + 2488773859321133/2668429265141*c_0101_4^12 - 2429876664911429/2668429265141*c_0101_4^11 - 6631165260141563/2668429265141*c_0101_4^10 + 1562906598857504/2668429265141*c_0101_4^9 + 8723329683754399/2668429265141*c_0101_4^8 + 3354627498418456/2668429265141*c_0101_4^7 - 4081487036561457/2668429265141*c_0101_4^6 + 30740581747978/2668429265141*c_0101_4^5 + 137674689489953/2668429265141*c_0101_4^4 + 559087849104075/2668429265141*c_0101_4^3 + 845203366751554/2668429265141*c_0101_4^2 - 283206181979957/2668429265141*c_0101_4 - 139030538888728/2668429265141, c_0101_1 + 31959397229226/2668429265141*c_0101_4^16 + 15737266796084/2668429265141*c_0101_4^15 - 279493231728757/2668429265141*c_0101_4^14 + 214016433206369/2668429265141*c_0101_4^13 + 1124661284618165/2668429265141*c_0101_4^12 - 1104588912992681/2668429265141*c_0101_4^11 - 2992170089718363/2668429265141*c_0101_4^10 + 715500499338594/2668429265141*c_0101_4^9 + 3931887940518243/2668429265141*c_0101_4^8 + 1503447379199737/2668429265141*c_0101_4^7 - 1836501037672625/2668429265141*c_0101_4^6 + 33467601255609/2668429265141*c_0101_4^5 + 54951546166261/2668429265141*c_0101_4^4 + 254859116549426/2668429265141*c_0101_4^3 + 381623259054395/2668429265141*c_0101_4^2 - 127204351760692/2668429265141*c_0101_4 - 61431216932506/2668429265141, c_0101_2 - 88239267949382/2668429265141*c_0101_4^16 - 44411283744737/2668429265141*c_0101_4^15 + 772013540928622/2668429265141*c_0101_4^14 - 582018505672391/2668429265141*c_0101_4^13 - 3118544095641306/2668429265141*c_0101_4^12 + 3020727296594579/2668429265141*c_0101_4^11 + 8322521889938421/2668429265141*c_0101_4^10 - 1909732252683809/2668429265141*c_0101_4^9 - 10952305060842543/2668429265141*c_0101_4^8 - 4263789351851098/2668429265141*c_0101_4^7 + 5118295984015148/2668429265141*c_0101_4^6 + 16465222305975/2668429265141*c_0101_4^5 - 187189213834174/2668429265141*c_0101_4^4 - 707339586551418/2668429265141*c_0101_4^3 - 1057550159721854/2668429265141*c_0101_4^2 + 348616874256664/2668429265141*c_0101_4 + 178796934069879/2668429265141, c_0101_4^17 - 9*c_0101_4^15 + 11*c_0101_4^14 + 32*c_0101_4^13 - 52*c_0101_4^12 - 77*c_0101_4^11 + 69*c_0101_4^10 + 113*c_0101_4^9 - 14*c_0101_4^8 - 82*c_0101_4^7 + 29*c_0101_4^6 + 2*c_0101_4^5 + 7*c_0101_4^4 + 8*c_0101_4^3 - 10*c_0101_4^2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB