Magma V2.19-8 Tue Aug 20 2013 16:18:17 on localhost [Seed = 711702302] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2488 geometric_solution 5.81712969 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 4 0132 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 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 0.608688806273 0.688482413670 0 4 4 5 0132 2103 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 -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 0.461856007897 0.388134255206 5 0 5 3 3012 0132 1302 1230 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 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 0.623968943633 1.097826106828 2 6 6 0 3012 0132 3201 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 0.912348336420 0.451167061006 5 1 0 1 1230 2103 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 -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 -0.377408220462 1.242715129230 2 4 1 2 2031 3012 0132 1230 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 1 -1 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 0 0.608688806273 0.688482413670 3 3 6 6 2310 0132 1230 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.534255557182 0.407593665694 ==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' : negation(d['1']), 's_3_0' : negation(d['1']), 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : negation(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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : negation(d['c_0101_3']), 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : d['c_0011_3'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_3'], 'c_1100_0' : d['c_0011_3'], 'c_1100_3' : d['c_0011_3'], 'c_1100_2' : d['c_0101_0'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0011_5'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_5']), 'c_0101_1' : d['c_0011_5'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_3']), '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_4']), 'c_1001_4' : negation(d['c_0011_0']), 'c_1001_6' : d['c_0101_3'], 'c_1001_1' : d['c_0011_4'], 'c_1001_0' : d['c_0101_3'], 'c_1001_3' : negation(d['c_0101_6']), 'c_1001_2' : negation(d['c_0011_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_5'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_3'], 'c_0110_5' : negation(d['c_0011_0']), 'c_0110_4' : d['c_0011_5'], 'c_0110_6' : negation(d['c_0101_3']), 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : negation(d['c_0011_5']), 'c_1010_4' : d['c_0011_4'], 'c_1010_3' : d['c_0101_3'], 'c_1010_2' : d['c_0101_3'], 'c_1010_1' : negation(d['c_0011_4']), 'c_1010_0' : negation(d['c_0011_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_3, c_0011_4, c_0011_5, c_0101_0, c_0101_3, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t - 151230937369/2568843088328*c_0101_6^12 + 87446821335/233531189848*c_0101_6^11 - 51229124129/58382797462*c_0101_6^10 + 5178127509055/1284421544164*c_0101_6^9 - 6916906484927/1284421544164*c_0101_6^8 + 17800632162701/1284421544164*c_0101_6^7 - 8717741749693/642210772082*c_0101_6^6 + 18199397576163/1284421544164*c_0101_6^5 - 27571118430287/2568843088328*c_0101_6^4 + 853339995380/321105386041*c_0101_6^3 - 11725053758013/1284421544164*c_0101_6^2 + 6311640203167/2568843088328*c_0101_6 - 2470540465905/2568843088328, c_0011_0 - 1, c_0011_3 - 8281215/37376951*c_0101_6^12 + 4205085/37376951*c_0101_6^11 - 86033016/37376951*c_0101_6^10 + 56895717/37376951*c_0101_6^9 - 283148539/37376951*c_0101_6^8 + 192610429/37376951*c_0101_6^7 - 242309975/37376951*c_0101_6^6 + 134497874/37376951*c_0101_6^5 + 92883918/37376951*c_0101_6^4 + 142772153/37376951*c_0101_6^3 + 112330631/37376951*c_0101_6^2 + 42545106/37376951*c_0101_6 + 64731008/37376951, c_0011_4 - 4177838/37376951*c_0101_6^12 - 1735193/37376951*c_0101_6^11 - 43103631/37376951*c_0101_6^10 - 13989488/37376951*c_0101_6^9 - 128655870/37376951*c_0101_6^8 - 57328351/37376951*c_0101_6^7 - 33059903/37376951*c_0101_6^6 - 114845821/37376951*c_0101_6^5 + 241700590/37376951*c_0101_6^4 + 26514245/37376951*c_0101_6^3 + 270344906/37376951*c_0101_6^2 + 27547170/37376951*c_0101_6 + 130547427/37376951, c_0011_5 + 651320/37376951*c_0101_6^12 + 3075827/37376951*c_0101_6^11 + 3994331/37376951*c_0101_6^10 + 31837744/37376951*c_0101_6^9 - 12284448/37376951*c_0101_6^8 + 115047615/37376951*c_0101_6^7 - 104057831/37376951*c_0101_6^6 + 149314938/37376951*c_0101_6^5 - 149556249/37376951*c_0101_6^4 + 43077921/37376951*c_0101_6^3 - 182140119/37376951*c_0101_6^2 + 11583716/37376951*c_0101_6 - 65690346/37376951, c_0101_0 + 14490367/37376951*c_0101_6^12 - 10277719/37376951*c_0101_6^11 + 154731280/37376951*c_0101_6^10 - 133844240/37376951*c_0101_6^9 + 546920421/37376951*c_0101_6^8 - 484638905/37376951*c_0101_6^7 + 623569938/37376951*c_0101_6^6 - 503894959/37376951*c_0101_6^5 + 102945791/37376951*c_0101_6^4 - 447463322/37376951*c_0101_6^3 - 30752404/37376951*c_0101_6^2 - 131190911/37376951*c_0101_6 - 47651164/37376951, c_0101_3 - 2573945/37376951*c_0101_6^12 + 651320/37376951*c_0101_6^11 - 25237568/37376951*c_0101_6^10 + 9142221/37376951*c_0101_6^9 - 71120056/37376951*c_0101_6^8 + 18602892/37376951*c_0101_6^7 - 13649635/37376951*c_0101_6^6 - 37135261/37376951*c_0101_6^5 + 105557873/37376951*c_0101_6^4 - 13137164/37376951*c_0101_6^3 + 79113151/37376951*c_0101_6^2 - 49527203/37376951*c_0101_6 + 37323166/37376951, c_0101_6^13 + 11*c_0101_6^11 - 2*c_0101_6^10 + 40*c_0101_6^9 - 12*c_0101_6^8 + 50*c_0101_6^7 - 26*c_0101_6^6 + 17*c_0101_6^5 - 53*c_0101_6^4 - 14*c_0101_6^3 - 37*c_0101_6^2 - 10*c_0101_6 - 11 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.230 seconds, Total memory usage: 32.09MB