Magma V2.19-8 Tue Aug 20 2013 16:17:01 on localhost [Seed = 745386237] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1268 geometric_solution 5.16368024 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 4 0132 0132 0132 0132 0 0 0 0 0 1 -1 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 -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 -0.883803052969 1.790062943708 0 5 1 1 0132 0132 2031 1302 0 0 0 0 0 1 0 -1 0 0 1 -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 1 -1 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 0.078508902127 0.484200796421 4 0 2 2 1302 0132 2031 1302 0 0 0 0 0 -1 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.351095186757 0.372003368525 5 6 5 0 3012 0132 3120 0132 0 0 0 0 0 -1 0 1 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 -1 0 1 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 -1.230365364068 0.769684479844 6 2 0 5 0321 2031 0132 3120 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 -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 0.427391164471 0.348870087229 4 1 3 3 3120 0132 3120 1230 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 -1 1 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 0.118425978319 1.333338305903 4 3 6 6 0321 0132 2031 1302 0 0 0 0 0 1 -1 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 1 -1 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 0.207699944324 0.426945255032 ==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' : 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' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_0_6' : d['1'], 's_0_4' : d['1'], 's_0_5' : negation(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_1']), 'c_1100_5' : d['c_0101_0'], 'c_1100_4' : negation(d['c_0101_5']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0101_1'], 'c_1100_0' : negation(d['c_0101_5']), 'c_1100_3' : negation(d['c_0101_5']), 'c_1100_2' : negation(d['c_0011_4']), 'c_0101_6' : negation(d['c_0101_1']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0101_0']), 'c_0101_2' : negation(d['c_0011_4']), '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_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_0101_1']), 'c_1001_4' : negation(d['c_0110_2']), 'c_1001_6' : d['c_0011_4'], 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : d['c_0011_4'], 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : negation(d['c_0110_2']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : d['c_0011_3'], 'c_0110_4' : d['c_0011_3'], 'c_0110_6' : negation(d['c_0011_4']), 'c_1010_6' : d['c_0101_1'], 'c_1010_5' : negation(d['c_0101_0']), 'c_1010_4' : negation(d['c_0011_0']), 'c_1010_3' : d['c_0011_4'], 'c_1010_2' : d['c_0011_4'], 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : negation(d['c_0110_2'])})} 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_0101_0, c_0101_1, c_0101_5, c_0110_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t + 140072305/6655296*c_0110_2^8 - 10902621/554608*c_0110_2^7 - 40222849/554608*c_0110_2^6 + 18491535/2218432*c_0110_2^5 - 81448295/3327648*c_0110_2^4 - 348757367/6655296*c_0110_2^3 - 97073015/6655296*c_0110_2^2 - 69687037/3327648*c_0110_2 - 1123715/6655296, c_0011_0 - 1, c_0011_3 - 725980/727923*c_0110_2^8 + 438314/242641*c_0110_2^7 + 565395/242641*c_0110_2^6 - 777099/242641*c_0110_2^5 + 1935853/727923*c_0110_2^4 + 152258/103989*c_0110_2^3 - 810106/727923*c_0110_2^2 + 429503/727923*c_0110_2 - 685138/727923, c_0011_4 - 510/2039*c_0110_2^8 - 1738/6117*c_0110_2^7 + 7915/6117*c_0110_2^6 + 8915/6117*c_0110_2^5 + 6028/6117*c_0110_2^4 + 2595/2039*c_0110_2^3 + 3197/6117*c_0110_2^2 + 2515/2039*c_0110_2 + 3791/6117, c_0101_0 - 328180/242641*c_0110_2^8 + 916616/727923*c_0110_2^7 + 3115195/727923*c_0110_2^6 + 50144/727923*c_0110_2^5 + 1874422/727923*c_0110_2^4 + 82439/34663*c_0110_2^3 + 1562081/727923*c_0110_2^2 + 647494/242641*c_0110_2 + 48404/727923, c_0101_1 + 984560/727923*c_0110_2^8 - 1003484/727923*c_0110_2^7 - 3154306/727923*c_0110_2^6 + 445483/727923*c_0110_2^5 - 476302/242641*c_0110_2^4 - 324745/103989*c_0110_2^3 - 349516/242641*c_0110_2^2 - 1374979/727923*c_0110_2 + 11111/242641, c_0101_5 + 546235/727923*c_0110_2^8 - 701324/727923*c_0110_2^7 - 1479358/727923*c_0110_2^6 + 409231/727923*c_0110_2^5 - 1109819/727923*c_0110_2^4 - 77864/103989*c_0110_2^3 - 74791/727923*c_0110_2^2 - 710321/727923*c_0110_2 - 98671/727923, c_0110_2^9 - 2/5*c_0110_2^8 - 4*c_0110_2^7 - 7/5*c_0110_2^6 - 4/5*c_0110_2^5 - 3*c_0110_2^4 - 9/5*c_0110_2^3 - 8/5*c_0110_2^2 - 3/5*c_0110_2 + 2/5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB