Magma V2.19-8 Tue Aug 20 2013 23:47:31 on localhost [Seed = 1048073318] Type ? for help. Type -D to quit. Loading file "L10n67__sl2_c6.magma" ==TRIANGULATION=BEGINS== % Triangulation L10n67 geometric_solution 11.28460298 oriented_manifold CS_known 0.0000000000000002 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 2 0 2 0 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 0 0 0 0 1 0 -1 0 0 1 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.782030281737 0.776408070716 0 4 6 5 0132 1023 0132 0132 0 0 0 2 0 1 -1 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 0 0 0 0 1 -1 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 -0.169909896755 0.954374300282 7 0 9 8 0132 0132 0132 0132 2 2 0 2 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 0 0 0 0 -1 0 1 1 0 1 -2 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.549409158299 0.592134069037 7 9 4 0 1302 0132 0213 0132 2 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.738503317669 0.792395792252 1 3 0 10 1023 0213 0132 0132 2 0 0 2 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 1 -1 -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 0.415045051623 0.477187150141 11 11 1 11 0132 1230 0132 2031 0 0 1 0 0 0 0 0 0 0 -1 1 1 0 0 -1 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 -1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.180812977510 1.015616289513 8 7 11 1 0213 0213 2031 0132 0 0 2 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.169909896755 0.954374300282 2 3 6 8 0132 2031 0213 2103 0 2 2 0 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 0 0 0 0 0 0 0 -1 0 -1 2 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.037966852717 1.122775826834 6 10 2 7 0213 2031 0132 2103 2 2 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 -1 1 0 0 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 0.970072367998 0.794298060309 10 3 10 2 1023 0132 2031 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 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 0.360558375075 0.833298740071 8 9 4 9 1302 1023 0132 1302 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 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 0.360558375075 0.833298740071 5 5 5 6 0132 1302 3012 1302 0 0 0 1 0 -1 1 0 0 0 0 0 -1 0 0 1 -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 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.830090103245 0.954374300282 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_11'], 'c_1001_10' : d['c_0101_9'], 'c_1001_5' : negation(d['c_0011_8']), 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : negation(d['c_0101_0']), 'c_1001_6' : negation(d['c_0101_0']), 'c_1001_1' : d['c_0101_1'], 'c_1001_0' : negation(d['c_0110_10']), 'c_1001_3' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_0110_10']), 'c_1001_8' : negation(d['c_0110_10']), 'c_1010_11' : d['c_1010_11'], 'c_1010_10' : d['c_0101_2'], 's_3_11' : negation(d['1']), 's_0_11' : negation(d['1']), 's_2_8' : d['1'], 's_2_9' : negation(d['1']), 'c_0101_11' : d['c_0011_11'], 'c_0101_10' : negation(d['c_0011_8']), 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : negation(d['1']), 's_2_5' : negation(d['1']), 's_2_6' : negation(d['1']), 's_2_7' : d['1'], 's_2_10' : negation(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' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : d['c_0011_11'], 'c_1100_8' : negation(d['c_0101_2']), 'c_1100_5' : negation(d['c_1010_11']), 'c_1100_4' : d['c_0101_9'], 'c_1100_7' : d['c_0101_1'], 'c_1100_6' : negation(d['c_1010_11']), 'c_1100_1' : negation(d['c_1010_11']), 'c_1100_0' : d['c_0101_9'], 'c_1100_3' : d['c_0101_9'], 'c_1100_2' : negation(d['c_0101_2']), 's_0_10' : d['1'], 'c_1100_9' : negation(d['c_0101_2']), 'c_1100_11' : d['c_0011_8'], 'c_1100_10' : d['c_0101_9'], 's_3_10' : negation(d['1']), 'c_1010_7' : negation(d['c_0011_10']), 'c_1010_6' : d['c_0101_1'], 'c_1010_5' : d['c_0011_11'], 'c_1010_4' : d['c_0101_9'], 'c_1010_3' : negation(d['c_0110_10']), 'c_1010_2' : negation(d['c_0110_10']), 'c_1010_1' : negation(d['c_0011_8']), 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_2'], 'c_1010_8' : d['c_0011_10'], 's_3_1' : negation(d['1']), 's_3_0' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : negation(d['1']), 's_3_7' : d['1'], 's_3_6' : negation(d['1']), 's_3_9' : negation(d['1']), 's_3_8' : d['1'], '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' : negation(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' : d['c_0011_10'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : negation(d['c_0011_11']), 'c_0011_4' : negation(d['c_0011_0']), 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : d['c_0011_6'], '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_0101_0'], 'c_0110_10' : d['c_0110_10'], 'c_0101_7' : d['c_0011_6'], 'c_0101_6' : d['c_0011_8'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_0']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0011_6'], 'c_0011_10' : d['c_0011_10'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_2'], 'c_0110_8' : negation(d['c_0101_1']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_6'], 'c_0110_5' : d['c_0011_11'], 'c_0110_4' : negation(d['c_0011_8']), 'c_0110_7' : d['c_0101_2'], 'c_0110_6' : d['c_0101_1']})} 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_10, c_0011_11, c_0011_6, c_0011_8, c_0101_0, c_0101_1, c_0101_2, c_0101_9, c_0110_10, c_1001_2, c_1010_11 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t + 447/256*c_1010_11^6 + 36819/2048*c_1010_11^5 + 78715/1024*c_1010_11^4 + 364111/2048*c_1010_11^3 + 122921/512*c_1010_11^2 + 11807/64*c_1010_11 + 2081/32, c_0011_0 - 1, c_0011_10 + 7/8*c_1010_11^6 + 539/64*c_1010_11^5 + 1077/32*c_1010_11^4 + 4815/64*c_1010_11^3 + 825/8*c_1010_11^2 + 331/4*c_1010_11 + 33, c_0011_11 + 1, c_0011_6 - 1, c_0011_8 - c_1010_11 - 1, c_0101_0 - 1, c_0101_1 - c_1010_11^6 - 61/8*c_1010_11^5 - 51/2*c_1010_11^4 - 401/8*c_1010_11^3 - 243/4*c_1010_11^2 - 89/2*c_1010_11 - 16, c_0101_2 - 1/8*c_1010_11^6 + 51/64*c_1010_11^5 + 261/32*c_1010_11^4 + 1607/64*c_1010_11^3 + 339/8*c_1010_11^2 + 153/4*c_1010_11 + 17, c_0101_9 + 1/2*c_1010_11^5 + 45/16*c_1010_11^4 + 41/8*c_1010_11^3 + 57/16*c_1010_11^2 - 5/4*c_1010_11 - 3, c_0110_10 - 5/8*c_1010_11^6 - 289/64*c_1010_11^5 - 417/32*c_1010_11^4 - 1237/64*c_1010_11^3 - 211/16*c_1010_11^2 - 1/4*c_1010_11 + 5, c_1001_2 + 11/4*c_1010_11^6 + 703/32*c_1010_11^5 + 307/4*c_1010_11^4 + 5047/32*c_1010_11^3 + 3215/16*c_1010_11^2 + 609/4*c_1010_11 + 57, c_1010_11^7 + 77/8*c_1010_11^6 + 163/4*c_1010_11^5 + 809/8*c_1010_11^4 + 161*c_1010_11^3 + 166*c_1010_11^2 + 104*c_1010_11 + 32 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.220 seconds, Total memory usage: 32.09MB