Magma V2.19-8 Tue Aug 20 2013 16:19:13 on localhost [Seed = 2463305623] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3335 geometric_solution 6.47226750 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 4 0132 0132 0132 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 1 0 -1 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 0.447783191473 1.374448433297 0 2 6 5 0132 3201 0132 0132 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 -1 0 1 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 0.093842818984 0.900976953204 3 0 1 3 0213 0132 2310 1302 0 0 0 0 0 0 0 0 -1 0 0 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 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 0.360601283461 1.136689955255 2 4 2 0 0213 1302 2031 0132 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 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 -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 0.046306289254 1.599421447565 5 6 0 3 0132 2103 0132 2031 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 -1 1 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 0.785710531319 0.657750960977 4 6 1 6 0132 3012 0132 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.535073179094 0.831152953018 5 4 5 1 1230 2103 2031 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 0 0 1 0 0 -1 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.910554392821 2.500243504727 ==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' : 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' : d['c_0101_6'], 'c_1100_5' : d['c_0101_6'], 'c_1100_4' : negation(d['c_1001_0']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0101_6'], 'c_1100_0' : negation(d['c_1001_0']), 'c_1100_3' : negation(d['c_1001_0']), 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : negation(d['c_0011_4']), 'c_0101_3' : negation(d['c_0011_0']), 'c_0101_2' : d['c_0011_3'], 'c_0101_1' : negation(d['c_0011_4']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_4']), '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_0011_6']), 'c_1001_4' : d['c_0011_6'], 'c_1001_6' : d['c_0011_4'], 'c_1001_1' : negation(d['c_0011_3']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0101_0'], 'c_1001_2' : d['c_0011_6'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_4']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_0']), 'c_0110_5' : negation(d['c_0011_4']), 'c_0110_4' : d['c_0101_0'], 'c_0110_6' : negation(d['c_0011_4']), 'c_1010_6' : negation(d['c_0011_3']), 'c_1010_5' : negation(d['c_0101_6']), 'c_1010_4' : d['c_0011_3'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0011_6']), 'c_1010_0' : d['c_0011_6']})} 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_6, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 11229772/10241*c_1001_0^9 + 3897252/10241*c_1001_0^8 + 88486514/10241*c_1001_0^7 + 25438879/10241*c_1001_0^6 + 170842806/10241*c_1001_0^5 + 97928647/10241*c_1001_0^4 - 101385426/10241*c_1001_0^3 + 169943482/10241*c_1001_0^2 + 165629032/10241*c_1001_0 + 32337015/10241, c_0011_0 - 1, c_0011_3 - 2369/133*c_1001_0^9 + 888/133*c_1001_0^8 + 18611/133*c_1001_0^7 + 4870/133*c_1001_0^6 + 36151/133*c_1001_0^5 + 19643/133*c_1001_0^4 - 21517/133*c_1001_0^3 + 36539/133*c_1001_0^2 + 33445/133*c_1001_0 + 6354/133, c_0011_4 - 2236/133*c_1001_0^9 + 888/133*c_1001_0^8 + 17547/133*c_1001_0^7 + 4205/133*c_1001_0^6 + 34023/133*c_1001_0^5 + 17781/133*c_1001_0^4 - 20719/133*c_1001_0^3 + 34943/133*c_1001_0^2 + 30785/133*c_1001_0 + 5423/133, c_0011_6 - 11250/133*c_1001_0^9 + 3922/133*c_1001_0^8 + 88638/133*c_1001_0^7 + 25344/133*c_1001_0^6 + 171116/133*c_1001_0^5 + 97851/133*c_1001_0^4 - 101628/133*c_1001_0^3 + 170480/133*c_1001_0^2 + 165748/133*c_1001_0 + 32253/133, c_0101_0 - 11187/133*c_1001_0^9 + 3803/133*c_1001_0^8 + 88211/133*c_1001_0^7 + 25939/133*c_1001_0^6 + 170122/133*c_1001_0^5 + 98817/133*c_1001_0^4 - 100858/133*c_1001_0^3 + 168506/133*c_1001_0^2 + 166399/133*c_1001_0 + 32736/133, c_0101_6 - 69/19*c_1001_0^9 - 9/19*c_1001_0^8 + 569/19*c_1001_0^7 + 406/19*c_1001_0^6 + 1019/19*c_1001_0^5 + 1108/19*c_1001_0^4 - 552/19*c_1001_0^3 + 718/19*c_1001_0^2 + 1662/19*c_1001_0 + 459/19, c_1001_0^10 - 8*c_1001_0^8 - 5*c_1001_0^7 - 16*c_1001_0^6 - 14*c_1001_0^5 + 6*c_1001_0^4 - 12*c_1001_0^3 - 20*c_1001_0^2 - 8*c_1001_0 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.000 Total time: 0.220 seconds, Total memory usage: 32.09MB