Magma V2.19-8 Tue Aug 20 2013 16:15:52 on localhost [Seed = 1107549816] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0088 geometric_solution 3.62833743 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 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 -1 1 0 -1 0 1 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 0.738662630324 0.505801595572 0 3 3 4 0132 2031 1023 1023 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 0 0 0 1 0 0 -1 1 0 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.010484510765 1.966281436466 4 0 5 5 1302 0132 2310 0132 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 1 0 -1 0 0 0 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 0.590388709224 0.232589720319 1 4 1 0 1302 2031 1023 0132 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 1 0 -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 0 0 0 0.010484510765 1.966281436466 3 2 0 1 1302 2031 0132 1023 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 -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 -0.240102712722 0.160677133945 6 2 2 6 0132 3201 0132 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -0.580599594206 0.138384054306 5 5 6 6 0132 2310 2031 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4.404684628514 0.409370298696 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(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' : 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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : d['c_0101_6'], 'c_1100_5' : d['c_0011_5'], 'c_1100_4' : d['c_1100_0'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_1100_0']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_0011_5'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_3']), 'c_0101_3' : d['c_0011_0'], 'c_0101_2' : negation(d['c_0011_4']), 'c_0101_1' : negation(d['c_0011_3']), 'c_0101_0' : negation(d['c_0011_0']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_5']), '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_0011_4'], 'c_1001_4' : negation(d['c_0101_5']), 'c_1001_6' : negation(d['c_0101_5']), 'c_1001_1' : d['c_0011_0'], 'c_1001_0' : d['c_0011_4'], 'c_1001_3' : negation(d['c_0011_3']), 'c_1001_2' : negation(d['c_0101_5']), 'c_0110_1' : negation(d['c_0011_0']), 'c_0110_0' : negation(d['c_0011_3']), 'c_0110_3' : negation(d['c_0011_0']), 'c_0110_2' : d['c_0101_5'], 'c_0110_5' : d['c_0101_6'], 'c_0110_4' : d['c_0011_3'], 'c_0110_6' : d['c_0101_5'], 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : d['c_0101_5'], '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' : d['c_0011_3'], 'c_1010_0' : negation(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_5, c_0101_5, c_0101_6, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t + 43573/1632*c_1100_0^17 + 143189/408*c_1100_0^16 + 4190401/1632*c_1100_0^15 + 21049625/1632*c_1100_0^14 + 13320131/272*c_1100_0^13 + 119841973/816*c_1100_0^12 + 583102589/1632*c_1100_0^11 + 388988375/544*c_1100_0^10 + 1935172295/1632*c_1100_0^9 + 887314769/544*c_1100_0^8 + 177979631/96*c_1100_0^7 + 938335871/544*c_1100_0^6 + 131858269/102*c_1100_0^5 + 310552241/408*c_1100_0^4 + 552447901/1632*c_1100_0^3 + 174080297/1632*c_1100_0^2 + 34504991/1632*c_1100_0 + 797375/408, c_0011_0 - 1, c_0011_3 + 1/2*c_1100_0^17 + 7*c_1100_0^16 + 107/2*c_1100_0^15 + 559/2*c_1100_0^14 + 1099*c_1100_0^13 + 3406*c_1100_0^12 + 17095/2*c_1100_0^11 + 35255/2*c_1100_0^10 + 60203/2*c_1100_0^9 + 85261/2*c_1100_0^8 + 99803/2*c_1100_0^7 + 95711/2*c_1100_0^6 + 37034*c_1100_0^5 + 22579*c_1100_0^4 + 20891/2*c_1100_0^3 + 6891/2*c_1100_0^2 + 1443/2*c_1100_0 + 72, c_0011_4 + c_1100_0^17 + 13*c_1100_0^16 + 94*c_1100_0^15 + 466*c_1100_0^14 + 1744*c_1100_0^13 + 5148*c_1100_0^12 + 12310*c_1100_0^11 + 24178*c_1100_0^10 + 39292*c_1100_0^9 + 52888*c_1100_0^8 + 58750*c_1100_0^7 + 53362*c_1100_0^6 + 39028*c_1100_0^5 + 22432*c_1100_0^4 + 9758*c_1100_0^3 + 3018*c_1100_0^2 + 591*c_1100_0 + 55, c_0011_5 + c_1100_0^4 + 3*c_1100_0^3 + 6*c_1100_0^2 + 5*c_1100_0 + 2, c_0101_5 + c_1100_0^2 + c_1100_0 + 1, c_0101_6 + 1/4*c_1100_0^17 + 3*c_1100_0^16 + 83/4*c_1100_0^15 + 395/4*c_1100_0^14 + 715/2*c_1100_0^13 + 1023*c_1100_0^12 + 9519/4*c_1100_0^11 + 18211/4*c_1100_0^10 + 28887/4*c_1100_0^9 + 37965/4*c_1100_0^8 + 41203/4*c_1100_0^7 + 36479/4*c_1100_0^6 + 6476*c_1100_0^5 + 7141/2*c_1100_0^4 + 5835/4*c_1100_0^3 + 1611/4*c_1100_0^2 + 255/4*c_1100_0 + 7/2, c_1100_0^18 + 13*c_1100_0^17 + 95*c_1100_0^16 + 478*c_1100_0^15 + 1825*c_1100_0^14 + 5522*c_1100_0^13 + 13611*c_1100_0^12 + 27730*c_1100_0^11 + 47102*c_1100_0^10 + 66880*c_1100_0^9 + 79288*c_1100_0^8 + 78014*c_1100_0^7 + 63055*c_1100_0^6 + 41170*c_1100_0^5 + 21185*c_1100_0^4 + 8266*c_1100_0^3 + 2298*c_1100_0^2 + 405*c_1100_0 + 34 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB