Magma V2.19-8 Tue Aug 20 2013 16:16:47 on localhost [Seed = 3297073165] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1062 geometric_solution 4.93271811 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 2.361367076151 0.180484880073 0 2 2 0 3201 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 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 -0.896882498164 0.536998521980 1 1 3 4 2310 0132 0132 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 0 1 0 0 -1 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 0.207897911800 0.325712400488 5 4 6 2 0132 3012 0132 0132 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 0 0 0 0 0 0 0 -1 0 0 1 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.477724257924 0.856623449883 3 5 2 6 1230 0132 0132 3201 0 0 0 0 0 1 0 -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 1 -1 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 0.477724257924 0.856623449883 3 4 5 5 0132 0132 1230 3012 0 0 0 0 0 -1 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 0 0 0 0 -1 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 0 0 0 0.987907400279 1.640109686059 6 4 6 3 2310 2310 3201 0132 0 0 0 0 0 0 0 0 1 0 -1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.012092599721 1.640109686059 ==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' : negation(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' : d['1'], 'c_1100_6' : negation(d['c_0011_6']), 'c_1100_5' : d['c_0101_3'], 'c_1100_4' : negation(d['c_0011_6']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_1'], 'c_1100_0' : d['c_0011_1'], 'c_1100_3' : negation(d['c_0011_6']), 'c_1100_2' : negation(d['c_0011_6']), 'c_0101_6' : negation(d['c_0101_3']), 'c_0101_5' : d['c_0101_2'], 'c_0101_4' : d['c_0011_0'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], '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_3'], 'c_0011_6' : d['c_0011_6'], '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' : negation(d['c_0101_3']), 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_6' : d['c_0101_3'], 'c_1001_1' : negation(d['c_0101_2']), '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' : d['c_0101_2'], 'c_0110_2' : d['c_0011_0'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0011_3'], 'c_0110_6' : d['c_0101_3'], 'c_1010_6' : negation(d['c_0011_3']), 'c_1010_5' : negation(d['c_0101_2']), 'c_1010_4' : negation(d['c_0101_3']), 'c_1010_3' : negation(d['c_0011_0']), 'c_1010_2' : negation(d['c_0101_2']), '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_0011_6, c_0101_0, c_0101_2, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t + 9421988399/75840088*c_0101_3^16 - 1244864670553/151680176*c_0101_3^14 + 17488219868309/151680176*c_0101_3^12 - 29480204897701/75840088*c_0101_3^10 + 274357957969/456868*c_0101_3^8 - 4448263377164/9480011*c_0101_3^6 + 7062435739157/37920044*c_0101_3^4 - 334524852254/9480011*c_0101_3^2 + 47780365287/18960022, c_0011_0 - 1, c_0011_1 - 242928661/37920044*c_0101_3^16 + 32103841359/75840088*c_0101_3^14 - 451379194945/75840088*c_0101_3^12 + 381669597119/18960022*c_0101_3^10 - 14262425649/456868*c_0101_3^8 + 232381854766/9480011*c_0101_3^6 - 92683517296/9480011*c_0101_3^4 + 17601616017/9480011*c_0101_3^2 - 1269817012/9480011, c_0011_3 - 1025033229/75840088*c_0101_3^17 + 135751372865/151680176*c_0101_3^15 - 961833693569/75840088*c_0101_3^13 + 3353305907539/75840088*c_0101_3^11 - 32648648593/456868*c_0101_3^9 + 566190125954/9480011*c_0101_3^7 - 247033075700/9480011*c_0101_3^5 + 105062726271/18960022*c_0101_3^3 - 4203328655/9480011*c_0101_3, c_0011_6 - 11848307/37920044*c_0101_3^16 + 1524237973/75840088*c_0101_3^14 - 19280501249/75840088*c_0101_3^12 + 18300001063/37920044*c_0101_3^10 + 28801191/456868*c_0101_3^8 - 9896342269/9480011*c_0101_3^6 + 19240242463/18960022*c_0101_3^4 - 3289006034/9480011*c_0101_3^2 + 345881856/9480011, c_0101_0 - 67846215/18960022*c_0101_3^16 + 8965222225/37920044*c_0101_3^14 - 126003287803/37920044*c_0101_3^12 + 425456137455/37920044*c_0101_3^10 - 7916820779/456868*c_0101_3^8 + 255565201107/18960022*c_0101_3^6 - 49813795234/9480011*c_0101_3^4 + 8968118547/9480011*c_0101_3^2 - 577922190/9480011, c_0101_2 - 56079849/37920044*c_0101_3^16 + 7375711071/75840088*c_0101_3^14 - 101868566103/75840088*c_0101_3^12 + 40015190591/9480011*c_0101_3^10 - 2672014525/456868*c_0101_3^8 + 35306948662/9480011*c_0101_3^6 - 17915934449/18960022*c_0101_3^4 + 277496230/9480011*c_0101_3^2 + 103241382/9480011, c_0101_3^18 - 133/2*c_0101_3^16 + 957*c_0101_3^14 - 3535*c_0101_3^12 + 6196*c_0101_3^10 - 5866*c_0101_3^8 + 3112*c_0101_3^6 - 912*c_0101_3^4 + 136*c_0101_3^2 - 8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB