Magma V2.19-8 Tue Aug 20 2013 16:15:59 on localhost [Seed = 3852761564] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0225 geometric_solution 4.08091944 oriented_manifold CS_known -0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 1 1 2 2 0132 2310 0132 2310 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 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 3.937119625666 1.492438291103 0 1 1 0 0132 3201 2310 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 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 -0.479365694523 0.087807732192 0 3 3 0 3201 0132 3201 0132 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 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 -0.162421330553 0.294053347271 2 2 4 5 2310 0132 0132 0132 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 -1 1 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 -0.416404356350 2.063009879905 6 5 5 3 0132 2031 1230 0132 0 0 0 0 0 -1 1 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 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.563458341837 0.533458312061 4 6 3 4 1302 3201 0132 3012 0 0 0 0 0 0 0 0 0 0 1 -1 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 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 0.563458341837 0.533458312061 4 6 5 6 0132 1302 2310 2031 0 0 0 0 0 0 1 -1 0 0 0 0 0 1 0 -1 -1 1 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 -1 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.611755167853 0.227174671464 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : negation(d['1']), 's_3_4' : negation(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' : negation(d['1']), 's_2_4' : negation(d['1']), 's_2_5' : negation(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_0011_4'], 'c_1100_5' : d['c_0110_5'], 'c_1100_4' : d['c_0110_5'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0011_2'], 'c_1100_3' : d['c_0110_5'], 'c_1100_2' : d['c_0011_2'], 'c_0101_6' : d['c_0101_3'], 'c_0101_5' : negation(d['c_0011_4']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_4'], 'c_0101_1' : negation(d['c_0011_4']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_4'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_4']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_2']), 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0101_3']), 'c_1001_4' : negation(d['c_0110_5']), 'c_1001_6' : d['c_0101_4'], 'c_1001_1' : d['c_0011_4'], 'c_1001_0' : d['c_0011_4'], 'c_1001_3' : d['c_0011_4'], 'c_1001_2' : negation(d['c_0101_3']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_4']), 'c_0110_3' : negation(d['c_0011_4']), 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0101_3'], 'c_0110_6' : d['c_0101_4'], 'c_1010_6' : negation(d['c_0011_4']), 'c_1010_5' : negation(d['c_0101_4']), 'c_1010_4' : d['c_0011_4'], 'c_1010_3' : negation(d['c_0101_3']), 'c_1010_2' : d['c_0011_4'], 'c_1010_1' : negation(d['c_0011_4']), 'c_1010_0' : negation(d['c_0101_0'])})} 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_2, c_0011_4, c_0101_0, c_0101_3, c_0101_4, c_0110_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 816795/15004*c_0101_3*c_0110_5^5 + 6410551/15004*c_0101_3*c_0110_5^4 - 15362703/15004*c_0101_3*c_0110_5^3 + 2477406/3751*c_0101_3*c_0110_5^2 - 7441009/15004*c_0101_3*c_0110_5 + 5364813/15004*c_0101_3, c_0011_0 - 1, c_0011_2 + 13/31*c_0110_5^5 - 100/31*c_0110_5^4 + 234/31*c_0110_5^3 - 154/31*c_0110_5^2 + 129/31*c_0110_5 - 50/31, c_0011_4 + 107/341*c_0101_3*c_0110_5^5 - 835/341*c_0101_3*c_0110_5^4 + 1957/341*c_0101_3*c_0110_5^3 - 1103/341*c_0101_3*c_0110_5^2 + 747/341*c_0101_3*c_0110_5 - 464/341*c_0101_3, c_0101_0 - 86/341*c_0101_3*c_0110_5^5 + 652/341*c_0101_3*c_0110_5^4 - 1455/341*c_0101_3*c_0110_5^3 + 673/341*c_0101_3*c_0110_5^2 - 355/341*c_0101_3*c_0110_5 + 16/341*c_0101_3, c_0101_3^2 - 1/62*c_0110_5^5 - 9/62*c_0110_5^4 + 75/62*c_0110_5^3 - 37/31*c_0110_5^2 - 29/62*c_0110_5 - 51/62, c_0101_4 - 4/31*c_0110_5^5 + 26/31*c_0110_5^4 - 41/31*c_0110_5^3 - 17/31*c_0110_5^2 - 23/31*c_0110_5 + 13/31, c_0110_5^6 - 8*c_0110_5^5 + 20*c_0110_5^4 - 15*c_0110_5^3 + 11*c_0110_5^2 - 8*c_0110_5 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB