Magma V2.19-8 Wed Aug 21 2013 00:50:43 on localhost [Seed = 813049133] Type ? for help. Type -D to quit. Loading file "L10a159__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L10a159 geometric_solution 11.96038165 oriented_manifold CS_known -0.0000000000000002 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 2 1 1 2 0 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 1 -1 0 0 -1 1 1 -1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.422952568370 0.843489385124 0 5 7 6 0132 0132 0132 0132 0 1 2 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 0 0 0 0 0 0 0 0 0 -1 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 0.807179502040 0.809508803741 8 0 4 9 0132 0132 0132 0132 2 1 2 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 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.845905136741 1.686978770249 10 11 12 0 0132 0132 0132 0132 2 1 2 2 0 0 0 0 0 0 1 -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 0 -1 -1 0 0 1 -1 2 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.807179502040 0.809508803741 8 8 0 2 3012 3201 0132 0132 2 1 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 0 0 0 0 0 0 0 0 -1 1 0 1 0 -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 0.038725634700 0.877469966508 9 1 11 6 1023 0132 1023 0213 0 2 1 2 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 0 0 0 0 0 0 0 0 0 0 0 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.471267984067 0.359483568794 12 11 1 5 1302 1023 0132 0213 0 1 2 2 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 -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 0.567457650633 0.517986397713 12 10 10 1 0132 0213 0132 0132 0 1 1 2 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.949801706893 1.137424729431 2 9 4 4 0132 1023 2310 1230 1 1 1 2 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 0 1 -1 0 0 0 0 0 0 0 0 1 -2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.038725634700 0.877469966508 8 5 2 12 1023 1023 0132 0132 2 1 1 2 0 0 0 0 1 0 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 0 0 0 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.422952568370 0.843489385124 3 11 7 7 0132 1302 0213 0132 0 1 2 2 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 1 0 -1 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 0.567457650633 0.517986397713 6 3 5 10 1023 0132 1023 2031 2 0 2 2 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 -1 0 0 1 0 0 0 0 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.949801706893 1.137424729431 7 6 9 3 0132 2031 0132 0132 2 1 2 1 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 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 0.471267984067 0.359483568794 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_5'], 'c_1001_10' : d['c_0110_11'], 'c_1001_12' : d['c_0110_5'], 'c_1001_5' : d['c_0101_11'], 'c_1001_4' : negation(d['c_0101_8']), 'c_1001_7' : d['c_0110_11'], 'c_1001_6' : d['c_0101_11'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0101_5'], 'c_1001_3' : d['c_0011_10'], 'c_1001_2' : negation(d['c_0101_8']), 'c_1001_9' : d['c_0101_5'], 'c_1001_8' : d['c_0101_8'], 'c_1010_12' : d['c_0011_10'], 'c_1010_11' : d['c_0011_10'], 'c_1010_10' : d['c_0110_11'], 's_0_10' : d['1'], 's_0_11' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : negation(d['1']), 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : negation(d['c_0011_12']), '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_2_7' : d['1'], 's_2_12' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : negation(d['1']), 's_0_9' : negation(d['1']), 's_0_6' : d['1'], 's_0_7' : d['1'], 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : d['c_0011_10'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0110_11'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_1001_1'], 'c_1100_6' : d['c_1001_1'], 'c_1100_1' : d['c_1001_1'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_1100_0'], 's_3_11' : d['1'], 'c_1100_9' : d['c_1100_0'], 'c_1100_11' : negation(d['c_0110_11']), 'c_1100_10' : d['c_1001_1'], 's_3_10' : d['1'], 'c_1010_7' : d['c_1001_1'], 'c_1010_6' : d['c_0110_11'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : negation(d['c_0101_8']), 'c_1010_3' : d['c_0101_5'], 'c_1010_2' : d['c_0101_5'], 'c_1010_1' : d['c_0101_11'], 'c_1010_0' : negation(d['c_0101_8']), 'c_1010_9' : d['c_0110_5'], 'c_1010_8' : d['c_0101_1'], 'c_1100_8' : d['c_0011_4'], 's_3_1' : d['1'], 's_3_0' : 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_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : d['c_1100_0'], 's_1_7' : 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_1_9' : d['1'], 's_1_8' : negation(d['1']), 'c_0011_9' : d['c_0011_0'], 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_12']), 'c_0011_6' : d['c_0011_10'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0110_11'], 'c_0110_10' : d['c_0101_3'], 'c_0110_12' : d['c_0101_3'], 'c_0101_12' : d['c_0101_1'], 'c_0101_7' : d['c_0101_3'], 'c_0101_6' : negation(d['c_0011_12']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_4'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_12']), 'c_0101_9' : d['c_0101_8'], 'c_0101_8' : d['c_0101_8'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_1'], 'c_0110_8' : d['c_0011_4'], 'c_0110_1' : negation(d['c_0011_12']), 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0011_12']), 'c_0110_2' : d['c_0101_8'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0011_4'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : negation(d['c_0110_5'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_12, c_0011_4, c_0101_1, c_0101_11, c_0101_3, c_0101_5, c_0101_8, c_0110_11, c_0110_5, c_1001_1, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t + 33/2*c_0110_5^3 - 231/4*c_0110_5^2 + 101*c_0110_5 - 33/4, c_0011_0 - 1, c_0011_10 + 2/3*c_0110_5^3 - 7/3*c_0110_5^2 + 8/3*c_0110_5 - 1/3, c_0011_12 + c_0110_5, c_0011_4 + 5/6*c_0110_5^3 - 19/6*c_0110_5^2 + 35/6*c_0110_5 - 13/6, c_0101_1 - 1, c_0101_11 - c_0110_5 + 1, c_0101_3 + 1/3*c_0110_5^3 - 2/3*c_0110_5^2 + 1/3*c_0110_5 + 1/3, c_0101_5 + 1/3*c_0110_5^3 - 5/3*c_0110_5^2 + 7/3*c_0110_5 + 1/3, c_0101_8 - 2/3*c_0110_5^3 + 7/3*c_0110_5^2 - 11/3*c_0110_5 + 1/3, c_0110_11 + 1/3*c_0110_5^3 - 2/3*c_0110_5^2 + 4/3*c_0110_5 + 1/3, c_0110_5^4 - 4*c_0110_5^3 + 8*c_0110_5^2 - 4*c_0110_5 + 1, c_1001_1 - 1, c_1100_0 - 1 ], Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_12, c_0011_4, c_0101_1, c_0101_11, c_0101_3, c_0101_5, c_0101_8, c_0110_11, c_0110_5, c_1001_1, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 5 Groebner basis: [ t + 1395/4*c_0110_5^4 - 954*c_0110_5^3 + 1840*c_0110_5^2 - 3211/2*c_0110_5 + 5275/4, c_0011_0 - 1, c_0011_10 - c_0110_5^4 + 2*c_0110_5^3 - 3*c_0110_5^2 + 2*c_0110_5, c_0011_12 + c_0110_5, c_0011_4 + 1/2*c_0110_5^4 - c_0110_5^3 + c_0110_5^2 - 1/2, c_0101_1 - 1, c_0101_11 - c_0110_5 + 1, c_0101_3 - c_0110_5^3 + 2*c_0110_5^2 - 3*c_0110_5 + 1, c_0101_5 - c_0110_5^3 + c_0110_5^2 - c_0110_5 + 1, c_0101_8 + c_0110_5^2 - c_0110_5 + 1, c_0110_11 - c_0110_5^3 + 2*c_0110_5^2 - 2*c_0110_5 + 1, c_0110_5^5 - 3*c_0110_5^4 + 6*c_0110_5^3 - 6*c_0110_5^2 + 5*c_0110_5 - 1, c_1001_1 - 1, c_1100_0 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.230 seconds, Total memory usage: 32.09MB