Magma V2.19-8 Tue Aug 20 2013 16:17:12 on localhost [Seed = 4223297316] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1446 geometric_solution 5.26843339 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 4 0132 0132 0132 0132 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 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 0.873735871627 0.947780293012 0 4 2 3 0132 3120 2031 1302 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 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.474192155562 0.570367234598 5 0 5 1 0132 0132 2310 1302 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 0 0 0 0 0 -1 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.623497630499 0.629247030050 3 3 1 0 1302 2031 2031 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 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.519792212926 0.437418544604 4 1 0 4 3012 3120 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.076769309181 0.743385396783 2 2 6 6 0132 3201 0132 3201 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 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.359873399455 0.356994953889 6 5 6 5 2310 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1.298708016468 0.534890318251 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : 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' : negation(d['c_0011_6']), 'c_1100_5' : negation(d['c_0011_6']), 'c_1100_4' : d['c_0011_4'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_3']), 'c_1100_0' : d['c_0011_4'], 'c_1100_3' : d['c_0011_4'], 'c_1100_2' : d['c_0011_0'], 'c_0101_6' : negation(d['c_0101_5']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0011_0'], 'c_0101_3' : negation(d['c_0011_3']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_0'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_6'], '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_2']), 'c_1001_4' : d['c_0101_5'], 'c_1001_6' : d['c_0101_5'], 'c_1001_1' : negation(d['c_0101_5']), 'c_1001_0' : d['c_0011_3'], 'c_1001_3' : negation(d['c_0101_0']), 'c_1001_2' : d['c_0101_5'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_5'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0011_4'], 'c_0110_6' : d['c_0101_5'], 'c_1010_6' : negation(d['c_0101_2']), 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : d['c_0011_0'], 'c_1010_3' : d['c_0011_3'], 'c_1010_2' : d['c_0011_3'], 'c_1010_1' : negation(d['c_0011_4']), 'c_1010_0' : d['c_0101_5']})} 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_0011_6, c_0101_0, c_0101_2, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 20 Groebner basis: [ t - 118/29*c_0101_5^18 + 1264/29*c_0101_5^16 - 5789/29*c_0101_5^14 + 15468/29*c_0101_5^12 - 27431/29*c_0101_5^10 + 34095/29*c_0101_5^8 - 30064/29*c_0101_5^6 + 18155/29*c_0101_5^4 - 6543/29*c_0101_5^2 + 1010/29, c_0011_0 - 1, c_0011_3 - 3/29*c_0101_5^19 + 11/29*c_0101_5^17 + 60/29*c_0101_5^15 - 462/29*c_0101_5^13 + 1353/29*c_0101_5^11 - 2377/29*c_0101_5^9 + 2754/29*c_0101_5^7 - 2130/29*c_0101_5^5 + 1017/29*c_0101_5^3 - 196/29*c_0101_5, c_0011_4 - 19/29*c_0101_5^19 + 205/29*c_0101_5^17 - 954/29*c_0101_5^15 + 2613/29*c_0101_5^13 - 4771/29*c_0101_5^11 + 6106/29*c_0101_5^9 - 5526/29*c_0101_5^7 + 3417/29*c_0101_5^5 - 1273/29*c_0101_5^3 + 199/29*c_0101_5, c_0011_6 + 13/29*c_0101_5^18 - 125/29*c_0101_5^16 + 494/29*c_0101_5^14 - 1101/29*c_0101_5^12 + 1590/29*c_0101_5^10 - 1551/29*c_0101_5^8 + 971/29*c_0101_5^6 - 311/29*c_0101_5^4 - 28/29*c_0101_5^2 + 18/29, c_0101_0 - 22/29*c_0101_5^18 + 216/29*c_0101_5^16 - 894/29*c_0101_5^14 + 2151/29*c_0101_5^12 - 3418/29*c_0101_5^10 + 3729/29*c_0101_5^8 - 2772/29*c_0101_5^6 + 1287/29*c_0101_5^4 - 256/29*c_0101_5^2 + 3/29, c_0101_2 - 21/29*c_0101_5^19 + 222/29*c_0101_5^17 - 1001/29*c_0101_5^15 + 2624/29*c_0101_5^13 - 4536/29*c_0101_5^11 + 5459/29*c_0101_5^9 - 4647/29*c_0101_5^7 + 2693/29*c_0101_5^5 - 914/29*c_0101_5^3 + 136/29*c_0101_5, c_0101_5^20 - 11*c_0101_5^18 + 52*c_0101_5^16 - 144*c_0101_5^14 + 266*c_0101_5^12 - 347*c_0101_5^10 + 325*c_0101_5^8 - 214*c_0101_5^6 + 90*c_0101_5^4 - 20*c_0101_5^2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB