Magma V2.19-8 Tue Aug 20 2013 16:17:51 on localhost [Seed = 2749513536] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2088 geometric_solution 5.59793258 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1230 3012 0132 2310 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 1.423302864371 0.392300756889 0 2 3 0 3201 0132 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 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 0.919216949050 0.313213819102 4 1 3 5 0132 0132 1302 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 -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 0.772671789812 0.648039457928 2 6 4 1 2031 0132 1023 0132 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 -1 1 -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 0.772671789812 0.648039457928 2 6 3 5 0132 3201 1023 3201 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 1 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 0.723031372150 0.282700866311 6 4 2 6 3012 2310 0132 3120 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 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 0.959626862352 1.081744527446 5 3 4 5 3120 0132 2310 1230 0 0 0 0 0 -1 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 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 0.959626862352 1.081744527446 ==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_1'], 'c_1100_5' : d['c_0101_3'], 'c_1100_4' : negation(d['c_0011_1']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_1'], 'c_1100_0' : d['c_0011_1'], 'c_1100_3' : d['c_0011_1'], 'c_1100_2' : d['c_0101_3'], 'c_0101_6' : negation(d['c_0101_3']), 'c_0101_5' : d['c_0101_4'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_3']), 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_1'], 'c_0011_4' : d['c_0011_1'], 'c_0011_6' : negation(d['c_0011_3']), 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : d['c_1001_1'], 'c_1001_4' : d['c_0101_3'], 'c_1001_6' : d['c_1001_1'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0101_4'], 'c_1001_2' : negation(d['c_0011_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : negation(d['c_0011_0']), 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : d['c_0011_1'], 'c_0110_4' : negation(d['c_0011_3']), 'c_0110_6' : d['c_0011_1'], 'c_1010_6' : d['c_0101_4'], 'c_1010_5' : d['c_0011_3'], 'c_1010_4' : negation(d['c_1001_1']), 'c_1010_3' : d['c_1001_1'], 'c_1010_2' : d['c_1001_1'], 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(d['c_0101_0'])})} 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_1, c_0011_3, c_0101_0, c_0101_3, c_0101_4, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 7855001372069/4071045667052*c_1001_1^11 - 4539696572121/581577952436*c_1001_1^10 + 20039216429977/4071045667052*c_1001_1^9 + 92535552974013/2035522833526*c_1001_1^8 + 146062784290435/2035522833526*c_1001_1^7 + 15987282966247/313157359004*c_1001_1^6 - 10205557797007/177001985524*c_1001_1^5 - 29133608113335/156578679502*c_1001_1^4 - 44107127092414/1017761416763*c_1001_1^3 + 530451675376057/4071045667052*c_1001_1^2 + 294524856099931/4071045667052*c_1001_1 - 112048528383247/4071045667052, c_0011_0 - 1, c_0011_1 + 122418689/3890153528*c_1001_1^11 - 685804313/3890153528*c_1001_1^10 + 1041851915/3890153528*c_1001_1^9 + 1286739917/1945076764*c_1001_1^8 - 21179240/486269191*c_1001_1^7 - 4268819977/3890153528*c_1001_1^6 - 11122638301/3890153528*c_1001_1^5 - 967731759/486269191*c_1001_1^4 + 2006483257/486269191*c_1001_1^3 + 14544906023/3890153528*c_1001_1^2 - 5850047679/3890153528*c_1001_1 - 8303680135/3890153528, c_0011_3 - 849192349/27231074696*c_1001_1^11 + 507942073/3890153528*c_1001_1^10 - 3010664023/27231074696*c_1001_1^9 - 4380445371/6807768674*c_1001_1^8 - 16694565291/13615537348*c_1001_1^7 - 20164110689/27231074696*c_1001_1^6 + 24081853745/27231074696*c_1001_1^5 + 43549196091/13615537348*c_1001_1^4 + 15564171863/13615537348*c_1001_1^3 - 35550053477/27231074696*c_1001_1^2 - 46155636641/27231074696*c_1001_1 + 6131108537/27231074696, c_0101_0 + 138590939/3890153528*c_1001_1^11 - 621981167/3890153528*c_1001_1^10 + 641814601/3890153528*c_1001_1^9 + 1499683925/1945076764*c_1001_1^8 + 881220263/972538382*c_1001_1^7 + 2836065945/3890153528*c_1001_1^6 - 3543743943/3890153528*c_1001_1^5 - 2439784915/972538382*c_1001_1^4 + 367577915/972538382*c_1001_1^3 + 6231335089/3890153528*c_1001_1^2 - 2489110789/3890153528*c_1001_1 - 1234245905/3890153528, c_0101_3 + 849192349/27231074696*c_1001_1^11 - 507942073/3890153528*c_1001_1^10 + 3010664023/27231074696*c_1001_1^9 + 4380445371/6807768674*c_1001_1^8 + 16694565291/13615537348*c_1001_1^7 + 20164110689/27231074696*c_1001_1^6 - 24081853745/27231074696*c_1001_1^5 - 43549196091/13615537348*c_1001_1^4 - 15564171863/13615537348*c_1001_1^3 + 35550053477/27231074696*c_1001_1^2 + 46155636641/27231074696*c_1001_1 - 6131108537/27231074696, c_0101_4 - 456140599/27231074696*c_1001_1^11 + 172389545/3890153528*c_1001_1^10 + 2372508303/27231074696*c_1001_1^9 - 8556892045/13615537348*c_1001_1^8 - 3085562238/3403884337*c_1001_1^7 - 21634589405/27231074696*c_1001_1^6 + 17533617043/27231074696*c_1001_1^5 + 10722349264/3403884337*c_1001_1^4 + 12271243055/6807768674*c_1001_1^3 - 63627939425/27231074696*c_1001_1^2 - 42455339355/27231074696*c_1001_1 + 5672463357/27231074696, c_1001_1^12 - 4*c_1001_1^11 + 2*c_1001_1^10 + 25*c_1001_1^9 + 38*c_1001_1^8 + 19*c_1001_1^7 - 46*c_1001_1^6 - 113*c_1001_1^5 - 20*c_1001_1^4 + 107*c_1001_1^3 + 64*c_1001_1^2 - 34*c_1001_1 - 23 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.220 seconds, Total memory usage: 32.09MB