Magma V2.19-8 Tue Aug 20 2013 16:18:30 on localhost [Seed = 627357721] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2694 geometric_solution 5.94929854 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 2 0132 0132 0132 2310 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 0.002003502003 0.700509085304 0 3 5 4 0132 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.493033853119 1.130079079389 0 0 6 5 3201 0132 0132 2031 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 0 0 -1 1 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.906183234047 0.987864046298 4 6 1 0 1023 1230 2310 0132 0 0 0 0 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 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 0.493033853119 1.130079079389 4 3 1 4 3012 1023 0132 1230 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.380659400985 0.826288612809 6 2 6 1 0213 1302 2310 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 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 0.362733171415 0.304119803609 5 5 3 2 0213 3201 3012 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 0 0 -1 1 1 -1 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.278117842745 0.609950070974 ==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' : negation(d['1']), 's_3_5' : negation(d['1']), 's_3_4' : d['1'], 's_3_0' : d['1'], 's_2_0' : d['1'], 's_2_1' : negation(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' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : negation(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' : negation(d['1']), 'c_1100_6' : d['c_0101_3'], 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : d['c_0011_3'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_3'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : d['c_0101_3'], 'c_0101_6' : d['c_0011_5'], 'c_0101_5' : d['c_0011_3'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0101_1']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_3'], 'c_0011_6' : 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' : d['c_0110_2'], 'c_1001_4' : d['c_0101_3'], 'c_1001_6' : negation(d['c_0011_3']), 'c_1001_1' : negation(d['c_0101_3']), 'c_1001_0' : d['c_0011_5'], 'c_1001_3' : negation(d['c_0101_3']), '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_0101_1'], 'c_0110_4' : d['c_0011_3'], 'c_0110_6' : negation(d['c_0101_1']), 'c_1010_6' : negation(d['c_0110_2']), 'c_1010_5' : negation(d['c_0101_3']), 'c_1010_4' : d['c_0101_0'], 'c_1010_3' : d['c_0011_5'], 'c_1010_2' : d['c_0011_5'], 'c_1010_1' : d['c_0101_3'], '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_5, c_0101_0, c_0101_1, c_0101_3, c_0110_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 3 Groebner basis: [ t + 1/2*c_0110_2^2 - 23/6*c_0110_2 + 14/3, c_0011_0 - 1, c_0011_3 - c_0110_2^2 + 2/3*c_0110_2 - 1/3, c_0011_5 + c_0110_2^2 + 1/3*c_0110_2 + 1/3, c_0101_0 - c_0110_2, c_0101_1 - c_0110_2^2 - 1/3*c_0110_2 - 1/3, c_0101_3 - 1, c_0110_2^3 - 2/3*c_0110_2^2 + 2/3*c_0110_2 - 2/3 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_5, c_0101_0, c_0101_1, c_0101_3, c_0110_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t - 3665925/1025143*c_0110_2^10 - 1325956/146449*c_0110_2^9 - 45345901/1025143*c_0110_2^8 - 3272069/1025143*c_0110_2^7 + 289935865/1025143*c_0110_2^6 + 49459118/146449*c_0110_2^5 - 12463468/146449*c_0110_2^4 - 323923899/1025143*c_0110_2^3 - 98241882/1025143*c_0110_2^2 + 41857145/1025143*c_0110_2 + 16793198/1025143, c_0011_0 - 1, c_0011_3 - 448817/146449*c_0110_2^10 - 755076/146449*c_0110_2^9 - 5142046/146449*c_0110_2^8 + 3866392/146449*c_0110_2^7 + 29769843/146449*c_0110_2^6 + 22177443/146449*c_0110_2^5 - 19577330/146449*c_0110_2^4 - 25933730/146449*c_0110_2^3 - 746819/146449*c_0110_2^2 + 6294399/146449*c_0110_2 + 1376554/146449, c_0011_5 - 382931/146449*c_0110_2^10 - 535210/146449*c_0110_2^9 - 4264231/146449*c_0110_2^8 + 4499128/146449*c_0110_2^7 + 23813610/146449*c_0110_2^6 + 12788673/146449*c_0110_2^5 - 19000922/146449*c_0110_2^4 - 17063648/146449*c_0110_2^3 + 2488524/146449*c_0110_2^2 + 4353235/146449*c_0110_2 + 562464/146449, c_0101_0 + 466969/146449*c_0110_2^10 + 812014/146449*c_0110_2^9 + 5356016/146449*c_0110_2^8 - 3761913/146449*c_0110_2^7 - 31621660/146449*c_0110_2^6 - 24262625/146449*c_0110_2^5 + 21196663/146449*c_0110_2^4 + 28667443/146449*c_0110_2^3 + 722144/146449*c_0110_2^2 - 7046339/146449*c_0110_2 - 1447359/146449, c_0101_1 + 382931/146449*c_0110_2^10 + 535210/146449*c_0110_2^9 + 4264231/146449*c_0110_2^8 - 4499128/146449*c_0110_2^7 - 23813610/146449*c_0110_2^6 - 12788673/146449*c_0110_2^5 + 19000922/146449*c_0110_2^4 + 17063648/146449*c_0110_2^3 - 2488524/146449*c_0110_2^2 - 4353235/146449*c_0110_2 - 562464/146449, c_0101_3 - 121924/146449*c_0110_2^10 - 247612/146449*c_0110_2^9 - 1427068/146449*c_0110_2^8 + 599201/146449*c_0110_2^7 + 8892174/146449*c_0110_2^6 + 8121531/146449*c_0110_2^5 - 5421294/146449*c_0110_2^4 - 9084205/146449*c_0110_2^3 - 362324/146449*c_0110_2^2 + 2288393/146449*c_0110_2 + 320520/146449, c_0110_2^11 + 2*c_0110_2^10 + 12*c_0110_2^9 - 5*c_0110_2^8 - 69*c_0110_2^7 - 71*c_0110_2^6 + 28*c_0110_2^5 + 73*c_0110_2^4 + 21*c_0110_2^3 - 14*c_0110_2^2 - 8*c_0110_2 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB