Magma V2.19-8 Tue Aug 20 2013 16:14:47 on localhost [Seed = 593674052] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s764 geometric_solution 5.30567415 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 6 1 2 3 4 0132 0132 0132 0132 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 1 1 -2 0 0 0 0 -1 0 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.358667023057 0.870788183475 0 2 2 5 0132 2310 3201 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 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 0.221309542701 0.755440089212 1 0 5 1 2310 0132 0132 3201 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 -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 0 0 0.221309542701 0.755440089212 5 3 3 0 0132 1230 3012 0132 0 0 0 0 0 0 1 -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 1 -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 0.782080307143 0.592689728591 4 5 0 4 3012 0132 0132 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 2 -1 1 0 0 -1 1 0 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.782080307143 0.592689728591 3 4 1 2 0132 0132 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 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 1.358667023057 0.870788183475 ==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' : 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_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : negation(d['1']), 's_1_0' : negation(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_5' : d['c_0011_0'], 'c_1100_4' : d['c_0011_3'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : d['c_0011_3'], 'c_1100_3' : d['c_0011_3'], 'c_1100_2' : d['c_0011_0'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_2'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : 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_0101_1'], 'c_1001_4' : d['c_1001_2'], 'c_1001_1' : negation(d['c_0101_2']), 'c_1001_0' : d['c_0101_2'], 'c_1001_3' : negation(d['c_0011_3']), 'c_1001_2' : d['c_1001_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' : negation(d['c_0101_1']), 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0011_3'], 'c_1010_5' : d['c_1001_2'], 'c_1010_4' : d['c_0101_1'], 'c_1010_3' : d['c_0101_2'], 'c_1010_2' : d['c_0101_2'], 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : d['c_1001_2']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0101_0, c_0101_1, c_0101_2, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 5 Groebner basis: [ t + 1576/1325*c_1001_2^4 - 296/1325*c_1001_2^3 + 2956/1325*c_1001_2^2 + 2061/1325*c_1001_2 + 1217/1325, c_0011_0 - 1, c_0011_3 - 20/53*c_1001_2^4 - 14/53*c_1001_2^3 - 55/53*c_1001_2^2 - 1/53*c_1001_2 - 18/53, c_0101_0 + c_1001_2, c_0101_1 - 28/53*c_1001_2^4 - 62/53*c_1001_2^3 - 77/53*c_1001_2^2 - 65/53*c_1001_2 - 57/53, c_0101_2 - 28/53*c_1001_2^4 - 62/53*c_1001_2^3 - 77/53*c_1001_2^2 - 65/53*c_1001_2 - 57/53, c_1001_2^5 + 3/2*c_1001_2^4 + 9/4*c_1001_2^3 + 9/4*c_1001_2^2 + 2*c_1001_2 + 5/4 ], Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0101_0, c_0101_1, c_0101_2, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 4519936/137599*c_1001_2^5 + 7523328/137599*c_1001_2^4 - 2299648/137599*c_1001_2^3 - 762880/19657*c_1001_2^2 + 14080/1787*c_1001_2 - 3303968/137599, c_0011_0 - 1, c_0011_3 + 2112/1787*c_1001_2^5 - 3768/1787*c_1001_2^4 + 1664/1787*c_1001_2^3 + 2390/1787*c_1001_2^2 - 875/1787*c_1001_2 + 1258/1787, c_0101_0 - 3808/1787*c_1001_2^5 + 6144/1787*c_1001_2^4 - 1484/1787*c_1001_2^3 - 4580/1787*c_1001_2^2 - 1157/1787*c_1001_2 - 1883/3574, c_0101_1 + 2448/1787*c_1001_2^5 - 5992/1787*c_1001_2^4 + 4528/1787*c_1001_2^3 + 902/1787*c_1001_2^2 - 405/1787*c_1001_2 + 1052/1787, c_0101_2 - 4144/1787*c_1001_2^5 + 8368/1787*c_1001_2^4 - 4348/1787*c_1001_2^3 - 3092/1787*c_1001_2^2 + 160/1787*c_1001_2 - 1629/1787, c_1001_2^6 - 2*c_1001_2^5 + 5/4*c_1001_2^4 + 1/2*c_1001_2^3 - 1/16*c_1001_2^2 + 21/32*c_1001_2 - 7/64 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB