Magma V2.19-8 Tue Aug 20 2013 16:16:00 on localhost [Seed = 324177876] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0245 geometric_solution 4.26875792 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 -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 1.320915358740 0.176533271503 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 0 1 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 1.061561395246 0.129586938042 4 1 3 5 0132 0132 1302 0132 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 1 -1 0 1 0 -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 0.792193711620 0.825332713655 2 5 4 1 2031 0132 3120 0132 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 1 0 -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 1.320915358740 0.176533271503 2 6 3 5 0132 0132 3120 1023 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 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 0.089112427009 0.726150728679 6 3 2 4 3120 0132 0132 1023 0 0 0 0 0 0 0 0 1 0 -1 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 0 0 0.078716929315 0.430481279839 6 4 6 5 2031 0132 1302 3120 0 0 0 0 0 0 0 0 0 0 1 -1 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 0.609657855389 0.260971822285 ==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_0101_3']), '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' : d['c_0011_1'], 'c_0101_5' : negation(d['c_0011_1']), 'c_0101_4' : negation(d['c_0011_1']), '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' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_1'], 'c_0011_6' : negation(d['c_0011_1']), '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_0011_3'], 'c_1001_6' : d['c_0110_5'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0011_3']), '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' : negation(d['c_0011_1']), 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : negation(d['c_0011_3']), 'c_0110_6' : d['c_0110_5'], 'c_1010_6' : d['c_0011_3'], 'c_1010_5' : negation(d['c_0011_3']), 'c_1010_4' : d['c_0110_5'], '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_0110_5, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t - 916626069/5070961*c_1001_1^13 + 1672227957/5070961*c_1001_1^12 + 6734247861/5070961*c_1001_1^11 - 10764201883/5070961*c_1001_1^10 - 428700898/724423*c_1001_1^9 + 23480135269/5070961*c_1001_1^8 - 4866287179/5070961*c_1001_1^7 - 13266008135/5070961*c_1001_1^6 - 30905271595/5070961*c_1001_1^5 - 11577472259/5070961*c_1001_1^4 + 61300058080/5070961*c_1001_1^3 + 27278298/19579*c_1001_1^2 - 28273215326/5070961*c_1001_1 + 4242045534/5070961, c_0011_0 - 1, c_0011_1 - 8572751/5070961*c_1001_1^13 + 14997156/5070961*c_1001_1^12 + 63582787/5070961*c_1001_1^11 - 95467000/5070961*c_1001_1^10 - 4385912/724423*c_1001_1^9 + 214910294/5070961*c_1001_1^8 - 34389413/5070961*c_1001_1^7 - 114565421/5070961*c_1001_1^6 - 292807611/5070961*c_1001_1^5 - 134160023/5070961*c_1001_1^4 + 544911568/5070961*c_1001_1^3 + 43837/2797*c_1001_1^2 - 240045128/5070961*c_1001_1 + 41081475/5070961, c_0011_3 - 6500252/5070961*c_1001_1^13 + 13158801/5070961*c_1001_1^12 + 45346214/5070961*c_1001_1^11 - 84682995/5070961*c_1001_1^10 - 1099125/724423*c_1001_1^9 + 163105811/5070961*c_1001_1^8 - 57396483/5070961*c_1001_1^7 - 90304119/5070961*c_1001_1^6 - 219009997/5070961*c_1001_1^5 - 36208488/5070961*c_1001_1^4 + 444188139/5070961*c_1001_1^3 + 3779/19579*c_1001_1^2 - 191443331/5070961*c_1001_1 + 39313150/5070961, c_0101_0 - 4512950/5070961*c_1001_1^13 + 8656911/5070961*c_1001_1^12 + 32618935/5070961*c_1001_1^11 - 56495324/5070961*c_1001_1^10 - 1633486/724423*c_1001_1^9 + 119151527/5070961*c_1001_1^8 - 34716779/5070961*c_1001_1^7 - 67637858/5070961*c_1001_1^6 - 145922155/5070961*c_1001_1^5 - 42417205/5070961*c_1001_1^4 + 312574907/5070961*c_1001_1^3 + 47743/19579*c_1001_1^2 - 151537025/5070961*c_1001_1 + 30898696/5070961, c_0101_3 + 2141492/5070961*c_1001_1^13 - 4273750/5070961*c_1001_1^12 - 13236409/5070961*c_1001_1^11 + 24529293/5070961*c_1001_1^10 - 1257407/724423*c_1001_1^9 - 38061717/5070961*c_1001_1^8 + 14187814/5070961*c_1001_1^7 + 282740/5070961*c_1001_1^6 + 71724600/5070961*c_1001_1^5 + 9538733/5070961*c_1001_1^4 - 84658773/5070961*c_1001_1^3 + 97732/19579*c_1001_1^2 + 16703836/5070961*c_1001_1 - 9593145/5070961, c_0110_5 - 11377558/5070961*c_1001_1^13 + 21125655/5070961*c_1001_1^12 + 81552930/5070961*c_1001_1^11 - 133307893/5070961*c_1001_1^10 - 3613479/724423*c_1001_1^9 + 276341241/5070961*c_1001_1^8 - 61188103/5070961*c_1001_1^7 - 145632987/5070961*c_1001_1^6 - 383865989/5070961*c_1001_1^5 - 131957358/5070961*c_1001_1^4 + 713520832/5070961*c_1001_1^3 + 258723/19579*c_1001_1^2 - 308930967/5070961*c_1001_1 + 55720674/5070961, c_1001_1^14 - 2*c_1001_1^13 - 7*c_1001_1^12 + 13*c_1001_1^11 + c_1001_1^10 - 26*c_1001_1^9 + 10*c_1001_1^8 + 13*c_1001_1^7 + 31*c_1001_1^6 + 7*c_1001_1^5 - 68*c_1001_1^4 + 5*c_1001_1^3 + 31*c_1001_1^2 - 11*c_1001_1 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.230 seconds, Total memory usage: 32.09MB