Magma V2.19-8 Tue Aug 20 2013 16:17:01 on localhost [Seed = 1427425668] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1268 geometric_solution 5.16368024 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 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 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 -0.883803052969 1.790062943708 0 5 1 1 0132 0132 2031 1302 0 0 0 0 0 1 0 -1 0 0 1 -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 -1 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 0.078508902127 0.484200796421 4 0 2 2 1302 0132 2031 1302 0 0 0 0 0 -1 0 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.351095186757 0.372003368525 5 6 5 0 3012 0132 3120 0132 0 0 0 0 0 -1 0 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 -1 0 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 -1.230365364068 0.769684479844 6 2 0 5 0321 2031 0132 3120 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 0.427391164471 0.348870087229 4 1 3 3 3120 0132 3120 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.118425978319 1.333338305903 4 3 6 6 0321 0132 2031 1302 0 0 0 0 0 1 -1 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 1 -1 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 0.207699944324 0.426945255032 ==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' : negation(d['c_0101_1']), 'c_1100_5' : d['c_0101_0'], 'c_1100_4' : negation(d['c_0101_5']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0101_1'], 'c_1100_0' : negation(d['c_0101_5']), 'c_1100_3' : negation(d['c_0101_5']), 'c_1100_2' : negation(d['c_0011_4']), 'c_0101_6' : negation(d['c_0101_1']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0101_0']), 'c_0101_2' : negation(d['c_0011_4']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(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' : negation(d['c_0101_1']), 'c_1001_4' : negation(d['c_0110_2']), 'c_1001_6' : d['c_0011_4'], 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : d['c_0011_4'], 'c_1001_3' : d['c_0101_1'], '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_0011_3'], 'c_0110_4' : d['c_0011_3'], 'c_0110_6' : negation(d['c_0011_4']), 'c_1010_6' : d['c_0101_1'], 'c_1010_5' : negation(d['c_0101_0']), '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' : negation(d['c_0101_1']), '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_4, c_0101_0, c_0101_1, c_0101_5, c_0110_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 1201494278402/15408109535*c_0110_2^7 - 117722978276/314451215*c_0110_2^6 + 1658792087546/1185239195*c_0110_2^5 - 4939440763184/15408109535*c_0110_2^4 + 2443162937409/15408109535*c_0110_2^3 + 5678965808578/15408109535*c_0110_2^2 + 38395147428/3081621907*c_0110_2 + 3809549685678/15408109535, c_0011_0 - 1, c_0011_3 + 48104848/4837711*c_0110_2^7 + 352853981/4837711*c_0110_2^6 + 12950147/4837711*c_0110_2^5 + 96288789/4837711*c_0110_2^4 + 117864590/4837711*c_0110_2^3 + 50878294/4837711*c_0110_2^2 + 62695221/4837711*c_0110_2 + 8481376/4837711, c_0011_4 - 54780/11491*c_0110_2^7 - 402695/11491*c_0110_2^6 - 18365/11491*c_0110_2^5 - 89204/11491*c_0110_2^4 - 136399/11491*c_0110_2^3 - 65635/11491*c_0110_2^2 - 73629/11491*c_0110_2 - 7279/11491, c_0101_0 + 21584046/4837711*c_0110_2^7 + 170982127/4837711*c_0110_2^6 + 96756412/4837711*c_0110_2^5 + 31383162/4837711*c_0110_2^4 + 69797339/4837711*c_0110_2^3 + 53867465/4837711*c_0110_2^2 + 35367000/4837711*c_0110_2 + 19451626/4837711, c_0101_1 - 2867942/4837711*c_0110_2^7 - 29627378/4837711*c_0110_2^6 - 63667611/4837711*c_0110_2^5 - 6514526/4837711*c_0110_2^4 - 20321605/4837711*c_0110_2^3 - 29540172/4837711*c_0110_2^2 - 8350329/4837711*c_0110_2 - 14201023/4837711, c_0101_5 + 3873210/4837711*c_0110_2^7 + 22131868/4837711*c_0110_2^6 - 46125486/4837711*c_0110_2^5 - 992955/4837711*c_0110_2^4 + 4337509/4837711*c_0110_2^3 - 17264804/4837711*c_0110_2^2 + 1365093/4837711*c_0110_2 - 7602762/4837711, c_0110_2^8 + 82/11*c_0110_2^7 + 16/11*c_0110_2^6 + 47/11*c_0110_2^5 + 28/11*c_0110_2^4 + 21/11*c_0110_2^3 + 25/11*c_0110_2^2 + 6/11*c_0110_2 + 5/11 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.210 seconds, Total memory usage: 32.09MB