Magma V2.19-8 Tue Aug 20 2013 16:09:01 on localhost [Seed = 374835375] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation m300 geometric_solution 4.45597863 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 5 0 0 1 2 1230 3012 0132 0132 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 -1 0 1 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 0.513677908535 1.020872135789 3 2 4 0 0132 3012 0132 0132 0 0 0 0 0 -1 0 1 0 0 0 0 0 1 0 -1 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.113736702678 1.051641636513 1 3 0 4 1230 2310 0132 2310 0 0 0 0 0 0 0 0 -1 0 0 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 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 0 0 0 1.113736702678 1.051641636513 1 3 3 2 0132 1230 3012 3201 0 0 0 0 0 -1 0 1 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 0.841967291068 0.589876980316 2 4 4 1 3201 1230 3012 0132 0 0 0 0 0 0 0 0 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 -1 1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.247775718402 0.369591129551 ==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_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' : negation(d['1']), 's_1_4' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_0_4' : d['1'], 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : d['1'], 'c_1100_4' : d['c_0011_4'], 'c_1100_1' : d['c_0011_4'], 'c_1100_0' : d['c_0011_4'], 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : d['c_0011_4'], 'c_0101_4' : negation(d['c_0011_1']), 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : d['c_0011_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_1']), 'c_0011_2' : d['c_0011_1'], 'c_1001_4' : negation(d['c_0011_4']), 'c_1001_1' : negation(d['c_0011_1']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0011_1'], 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0011_1'], 'c_0110_4' : d['c_0101_1'], 'c_1010_4' : negation(d['c_0011_1']), 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(d['c_0101_0'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 6 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_4, c_0101_0, c_0101_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 62614863/4577668*c_0101_1^7 - 1068066365/18310672*c_0101_1^6 + 1053915503/9155336*c_0101_1^5 - 2548168731/9155336*c_0101_1^4 + 1688756723/4577668*c_0101_1^3 - 3078979665/18310672*c_0101_1^2 - 3584817841/18310672*c_0101_1 + 535859817/4577668, c_0011_0 - 1, c_0011_1 + 784401/1144417*c_0101_1^7 - 13096707/4577668*c_0101_1^6 + 12599261/2288834*c_0101_1^5 - 30667861/2288834*c_0101_1^4 + 19774308/1144417*c_0101_1^3 - 31110967/4577668*c_0101_1^2 - 46084875/4577668*c_0101_1 + 5286210/1144417, c_0011_4 + 1621223/1144417*c_0101_1^7 - 27382325/4577668*c_0101_1^6 + 26713361/2288834*c_0101_1^5 - 65141405/2288834*c_0101_1^4 + 42648427/1144417*c_0101_1^3 - 74098301/4577668*c_0101_1^2 - 90432837/4577668*c_0101_1 + 12423288/1144417, c_0101_0 + 855023/1144417*c_0101_1^7 - 14013789/4577668*c_0101_1^6 + 13442663/2288834*c_0101_1^5 - 33445427/2288834*c_0101_1^4 + 21053935/1144417*c_0101_1^3 - 37138469/4577668*c_0101_1^2 - 44788077/4577668*c_0101_1 + 5178868/1144417, c_0101_1^8 - 19/4*c_0101_1^7 + 21/2*c_0101_1^6 - 49/2*c_0101_1^5 + 37*c_0101_1^4 - 103/4*c_0101_1^3 - 31/4*c_0101_1^2 + 15*c_0101_1 - 4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB