Magma V2.19-8 Tue Aug 20 2013 16:18:30 on localhost [Seed = 795783699] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2693 geometric_solution 5.94923265 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1230 3012 0132 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.399850200592 0.582294725622 0 2 3 0 3201 0132 0132 0132 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 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 0.733634389901 0.289712465313 4 1 3 5 0132 0132 1302 0132 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 -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 0.684897315360 0.479044506720 2 6 4 1 2031 0132 0132 0132 0 0 0 0 0 0 1 -1 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 -1 1 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 0.684897315360 0.479044506720 2 6 5 3 0132 3012 1230 0132 0 0 0 0 0 0 1 -1 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.084747515952 1.061339232342 6 6 2 4 3120 0213 0132 3012 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 -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 0.663058683501 0.718695989651 4 3 5 5 1230 0132 0213 3120 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.663058683501 0.718695989651 ==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_0101_4']), 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : d['c_0011_1'], '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' : negation(d['c_0011_3']), 'c_0101_6' : d['c_0011_5'], 'c_0101_5' : d['c_0101_4'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_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' : d['c_0011_5'], 'c_0011_4' : d['c_0011_1'], 'c_0011_6' : negation(d['c_0011_3']), '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_1001_1'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0011_5']), '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' : d['c_0101_4'], 'c_0110_5' : d['c_0011_1'], 'c_0110_4' : negation(d['c_0011_3']), 'c_0110_6' : d['c_0011_1'], 'c_1010_6' : negation(d['c_0011_5']), 'c_1010_5' : negation(d['c_0101_4']), 'c_1010_4' : negation(d['c_0011_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_0011_5, c_0101_0, c_0101_4, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t + 199312709/17066628*c_0101_4*c_1001_1^7 + 187513543/2844438*c_0101_4*c_1001_1^6 + 3986444729/17066628*c_0101_4*c_1001_1^5 - 153013915/4266657*c_0101_4*c_1001_1^4 - 551401981/948146*c_0101_4*c_1001_1^3 - 1419678143/5688876*c_0101_4*c_1001_1^2 + 4102041109/8533314*c_0101_4*c_1001_1 + 3407426575/8533314*c_0101_4, c_0011_0 - 1, c_0011_1 + 28554/474073*c_1001_1^7 + 128462/474073*c_1001_1^6 + 407297/474073*c_1001_1^5 - 645168/474073*c_1001_1^4 - 1022740/474073*c_1001_1^3 + 559317/474073*c_1001_1^2 + 1213881/474073*c_1001_1 - 27119/474073, c_0011_3 - 42648/474073*c_0101_4*c_1001_1^7 - 255624/474073*c_0101_4*c_1001_1^6 - 896923/474073*c_0101_4*c_1001_1^5 + 23042/474073*c_0101_4*c_1001_1^4 + 2825055/474073*c_0101_4*c_1001_1^3 + 1077537/474073*c_0101_4*c_1001_1^2 - 2330149/474073*c_0101_4*c_1001_1 - 2039579/474073*c_0101_4, c_0011_5 + c_0101_4, c_0101_0 + 56226/474073*c_1001_1^7 + 280450/474073*c_1001_1^6 + 964985/474073*c_1001_1^5 - 692933/474073*c_1001_1^4 - 1995659/474073*c_1001_1^3 - 455443/474073*c_1001_1^2 + 1602901/474073*c_1001_1 + 1166598/474073, c_0101_4^2 + 60019/948146*c_1001_1^7 + 152526/474073*c_1001_1^6 + 514135/474073*c_1001_1^5 - 366555/474073*c_1001_1^4 - 2540473/948146*c_1001_1^3 + 24541/948146*c_1001_1^2 + 1020914/474073*c_1001_1 + 546455/948146, c_1001_1^8 + 6*c_1001_1^7 + 22*c_1001_1^6 + 4*c_1001_1^5 - 51*c_1001_1^4 - 39*c_1001_1^3 + 34*c_1001_1^2 + 49*c_1001_1 + 12 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB