Magma V2.19-8 Wed Aug 21 2013 00:01:58 on localhost [Seed = 1831535823] Type ? for help. Type -D to quit. Loading file "L14n58480__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n58480 geometric_solution 11.46506276 oriented_manifold CS_known 0.0000000000000000 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 0 0 1 2 1302 2031 0132 0132 2 2 2 2 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 4 1 -5 0 0 0 0 -4 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.690267181701 0.767100216145 2 3 4 0 1302 0132 0132 0132 2 2 2 1 0 0 0 0 1 0 -1 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 0 1 -1 -4 0 4 0 5 -5 0 0 -1 -1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.604876617740 0.506843901806 5 1 0 6 0132 2031 0132 0132 2 2 1 2 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 -5 5 0 0 0 0 0 0 1 0 -1 0 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.604876617740 0.506843901806 4 1 5 7 0321 0132 2031 0132 2 0 1 2 0 0 0 0 0 0 -1 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 0 0 1 0 2 -3 -2 1 0 1 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.690267181701 0.767100216145 3 8 9 1 0321 0132 0132 0132 2 2 1 0 0 0 0 0 -1 0 0 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 1 0 -1 5 0 -1 -4 2 0 0 -2 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.956684569565 1.227185638225 2 6 8 3 0132 2103 2103 1302 0 2 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 2 0 -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 0.690267181701 0.767100216145 7 5 2 10 0213 2103 0132 0132 2 2 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 0 0 0 0 0 0 0 0 0 0 2 -2 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.956684569565 1.227185638225 6 8 3 10 0213 0213 0132 0321 2 0 2 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 0 0 0 -2 0 3 -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 0.452576205414 1.120873489937 5 4 7 9 2103 0132 0213 3120 2 2 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 -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 0.351807951824 0.720341736419 8 10 11 4 3120 2031 0132 0132 2 2 0 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 0 0 0 0 0 -1 1 0 1 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.604876617740 0.506843901806 9 7 6 11 1302 0321 0132 0132 2 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 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 0.604876617740 0.506843901806 11 11 10 9 1302 2031 0132 0132 2 2 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 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 0.690267181701 0.767100216145 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0011_10'], 'c_1001_11' : negation(d['c_0101_9']), 'c_1001_10' : d['c_1001_10'], 'c_1001_5' : negation(d['c_0011_4']), 'c_1001_4' : d['c_0011_10'], 'c_1001_7' : d['c_1001_1'], 'c_1001_6' : d['c_0011_1'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : negation(d['c_0101_2']), 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : d['c_0011_0'], 'c_1001_9' : d['c_0011_11'], 'c_1001_8' : d['c_1001_1'], 'c_1010_11' : d['c_0011_11'], 'c_1010_10' : negation(d['c_0101_9']), 's_0_10' : d['1'], 's_0_11' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0011_11']), 'c_0101_10' : d['c_0011_10'], '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' : negation(d['1']), 's_2_7' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : d['1'], 's_0_4' : d['1'], 's_0_5' : negation(d['1']), 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : d['1'], 'c_0011_11' : d['c_0011_11'], 'c_1100_8' : negation(d['c_0101_9']), 'c_1100_5' : d['c_0101_3'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_1001_10'], 'c_1100_6' : d['c_1100_0'], 'c_1100_1' : d['c_1100_0'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1001_10'], 'c_1100_2' : d['c_1100_0'], 's_3_11' : d['1'], 'c_1100_9' : d['c_1100_0'], 'c_1100_11' : d['c_1100_0'], 'c_1100_10' : d['c_1100_0'], 's_3_10' : d['1'], 'c_1010_7' : negation(d['c_0101_9']), 'c_1010_6' : d['c_1001_10'], 'c_1010_5' : negation(d['c_1001_10']), 'c_1010_4' : d['c_1001_1'], 'c_1010_3' : d['c_1001_1'], 'c_1010_2' : d['c_0011_1'], 'c_1010_1' : negation(d['c_0101_2']), 'c_1010_0' : d['c_0011_0'], 'c_1010_9' : d['c_0011_10'], 'c_1010_8' : d['c_0011_10'], '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'], 's_1_7' : d['1'], 's_1_6' : negation(d['1']), 's_1_5' : negation(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' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_10']), 'c_0011_8' : negation(d['c_0011_4']), 'c_0011_5' : d['c_0011_1'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : negation(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' : negation(d['c_0011_1']), 'c_0110_11' : d['c_0101_9'], 'c_0110_10' : negation(d['c_0011_11']), 'c_0101_7' : negation(d['c_0011_4']), 'c_0101_6' : d['c_0011_7'], 'c_0101_5' : d['c_0011_7'], 'c_0101_4' : negation(d['c_0101_3']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_1'], 'c_0101_0' : negation(d['c_0011_0']), 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0011_7'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0101_3']), 'c_0110_8' : negation(d['c_0101_3']), 'c_0110_1' : negation(d['c_0011_0']), 'c_0110_0' : d['c_0101_2'], 'c_0110_3' : negation(d['c_0011_4']), 'c_0110_2' : d['c_0011_7'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0011_1'], 'c_0110_7' : negation(d['c_0011_10']), 'c_0011_10' : d['c_0011_10']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_10, c_0011_11, c_0011_4, c_0011_7, c_0101_2, c_0101_3, c_0101_9, c_1001_1, c_1001_10, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 5 Groebner basis: [ t - 473/1656*c_1100_0^4 - 107/138*c_1100_0^3 - 745/552*c_1100_0^2 - 4565/1656*c_1100_0 + 415/828, c_0011_0 - 1, c_0011_1 - 1, c_0011_10 + 9/46*c_1100_0^4 + 11/23*c_1100_0^3 + 47/46*c_1100_0^2 + 89/46*c_1100_0 - 6/23, c_0011_11 + 1, c_0011_4 + 7/46*c_1100_0^4 + 6/23*c_1100_0^3 + 11/46*c_1100_0^2 + 13/46*c_1100_0 - 43/23, c_0011_7 + 7/46*c_1100_0^4 + 6/23*c_1100_0^3 + 11/46*c_1100_0^2 + 59/46*c_1100_0 - 20/23, c_0101_2 - 7/46*c_1100_0^4 - 6/23*c_1100_0^3 - 11/46*c_1100_0^2 - 13/46*c_1100_0 + 20/23, c_0101_3 - 1, c_0101_9 - 7/46*c_1100_0^4 - 6/23*c_1100_0^3 - 11/46*c_1100_0^2 - 13/46*c_1100_0 + 20/23, c_1001_1 - 7/46*c_1100_0^4 - 6/23*c_1100_0^3 - 11/46*c_1100_0^2 - 59/46*c_1100_0 + 20/23, c_1001_10 + 1, c_1100_0^5 + 2*c_1100_0^4 + 3*c_1100_0^3 + 7*c_1100_0^2 - 8*c_1100_0 + 4 ], Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_10, c_0011_11, c_0011_4, c_0011_7, c_0101_2, c_0101_3, c_0101_9, c_1001_1, c_1001_10, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 35505/497*c_1100_0^5 + 265574/497*c_1100_0^4 + 109431/71*c_1100_0^3 + 193988/71*c_1100_0^2 + 747438/497*c_1100_0 + 91636/497, c_0011_0 - 1, c_0011_1 - 1, c_0011_10 + 25/71*c_1100_0^5 + 170/71*c_1100_0^4 + 416/71*c_1100_0^3 + 631/71*c_1100_0^2 - 37/71*c_1100_0 - 125/71, c_0011_11 + 226/497*c_1100_0^5 + 1409/497*c_1100_0^4 + 3062/497*c_1100_0^3 + 4182/497*c_1100_0^2 - 2189/497*c_1100_0 - 278/497, c_0011_4 + 134/497*c_1100_0^5 + 897/497*c_1100_0^4 + 2119/497*c_1100_0^3 + 2959/497*c_1100_0^2 - 1056/497*c_1100_0 - 1238/497, c_0011_7 + 134/497*c_1100_0^5 + 897/497*c_1100_0^4 + 2119/497*c_1100_0^3 + 2959/497*c_1100_0^2 - 559/497*c_1100_0 - 741/497, c_0101_2 - 134/497*c_1100_0^5 - 897/497*c_1100_0^4 - 2119/497*c_1100_0^3 - 2959/497*c_1100_0^2 + 1056/497*c_1100_0 + 741/497, c_0101_3 - 1, c_0101_9 + 302/497*c_1100_0^5 + 1940/497*c_1100_0^4 + 4338/497*c_1100_0^3 + 5927/497*c_1100_0^2 - 2239/497*c_1100_0 - 587/497, c_1001_1 - 134/497*c_1100_0^5 - 897/497*c_1100_0^4 - 2119/497*c_1100_0^3 - 2959/497*c_1100_0^2 + 559/497*c_1100_0 + 741/497, c_1001_10 + 1, c_1100_0^6 + 7*c_1100_0^5 + 18*c_1100_0^4 + 28*c_1100_0^3 + 3*c_1100_0^2 - 7*c_1100_0 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.240 seconds, Total memory usage: 32.09MB