Magma V2.19-8 Tue Aug 20 2013 16:14:33 on localhost [Seed = 4155927546] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s537 geometric_solution 4.95329939 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 6 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 -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 0.275370291566 0.967779749616 0 5 2 4 0132 0132 2031 2031 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 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 0.121041391316 0.402830760992 5 0 3 1 2310 0132 1302 1302 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.121041391316 0.402830760992 2 4 4 0 2031 0321 2103 0132 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 -1 1 -1 0 1 0 0 1 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.183433899502 0.699337052928 3 1 0 3 2103 1302 0132 0321 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 -1 0 0 1 1 0 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.183433899502 0.699337052928 5 1 2 5 3201 0132 3201 2310 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 0 0 0 0 0 0 0.823595884006 2.222397709975 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(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' : negation(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' : negation(d['1']), 's_2_5' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_5' : d['c_0011_0'], 'c_1100_4' : d['c_0011_3'], 'c_1100_1' : negation(d['c_1001_0']), 'c_1100_0' : d['c_0011_3'], 'c_1100_3' : d['c_0011_3'], 'c_1100_2' : d['c_0101_1'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : negation(d['c_0011_3']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : 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' : d['c_0011_3'], 'c_1001_4' : d['c_0101_0'], 'c_1001_1' : d['c_0101_5'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0011_3'], 'c_1001_2' : d['c_0101_0'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_5']), 'c_0110_5' : negation(d['c_0101_5']), 'c_0110_4' : negation(d['c_0011_3']), 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : d['c_1001_0'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0011_3'], 'c_1010_0' : d['c_0101_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_3, c_0101_0, c_0101_1, c_0101_5, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 2322005/43844*c_1001_0^9 - 5169945/43844*c_1001_0^8 + 2769555/21922*c_1001_0^7 + 4728891/43844*c_1001_0^6 - 2894576/10961*c_1001_0^5 + 392972/10961*c_1001_0^4 + 1494118/10961*c_1001_0^3 - 111447/21922*c_1001_0^2 - 207791/43844*c_1001_0 - 250639/21922, c_0011_0 - 1, c_0011_3 + 5859/10961*c_1001_0^9 + 359/10961*c_1001_0^8 - 4861/10961*c_1001_0^7 + 9969/10961*c_1001_0^6 + 47528/10961*c_1001_0^5 - 73285/10961*c_1001_0^4 - 37787/10961*c_1001_0^3 + 78370/10961*c_1001_0^2 + 5489/10961*c_1001_0 - 17372/10961, c_0101_0 + 19040/10961*c_1001_0^9 - 49068/10961*c_1001_0^8 + 44050/10961*c_1001_0^7 + 54829/10961*c_1001_0^6 - 137632/10961*c_1001_0^5 + 2215/10961*c_1001_0^4 + 128822/10961*c_1001_0^3 - 24702/10961*c_1001_0^2 - 36640/10961*c_1001_0 + 5724/10961, c_0101_1 + c_1001_0, c_0101_5 + 6573/21922*c_1001_0^9 - 66699/21922*c_1001_0^8 + 59366/10961*c_1001_0^7 - 87583/21922*c_1001_0^6 - 81850/10961*c_1001_0^5 + 121991/10961*c_1001_0^4 + 6403/10961*c_1001_0^3 - 58146/10961*c_1001_0^2 + 4115/21922*c_1001_0 - 1180/10961, c_1001_0^10 - 17/7*c_1001_0^9 + 17/7*c_1001_0^8 + 18/7*c_1001_0^7 - 46/7*c_1001_0^6 + c_1001_0^5 + 34/7*c_1001_0^4 - 10/7*c_1001_0^3 - 9/7*c_1001_0^2 + 2/7*c_1001_0 + 1/7 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB