Magma V2.19-8 Thu Sep 12 2013 15:35:32 on localhost [Seed = 743205352] Type ? for help. Type -D to quit. Loading file "10_113__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation 10_113 geometric_solution 16.47347366 oriented_manifold CS_known -0.0000000000000009 1 0 torus 0.000000000000 0.000000000000 17 1 2 3 3 0132 0132 0132 0321 0 0 0 0 0 0 0 0 0 0 -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 1 0 -1 0 0 3 -3 1 0 0 -1 -4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.743902815511 1.003730630088 0 4 6 5 0132 0132 0132 0132 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 4 -4 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.502038059785 1.128310023461 7 0 8 8 0132 0132 0213 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0.547255099891 0.766251129280 9 0 10 0 0132 0321 0132 0132 0 0 0 0 0 0 0 0 -1 0 0 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 1 -1 0 3 0 0 -3 3 1 0 -4 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.523403968914 0.643059852181 11 1 10 12 0132 0132 1302 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 0 4 -4 1 0 0 -1 0 -1 0 1 0 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.422391794805 0.878223732559 9 9 1 12 2103 1302 0132 0213 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 -3 0 3 0 0 0 0 -1 0 0 1 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.839337999548 0.951238702207 13 7 14 1 0132 0321 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.143381652784 0.894070185292 2 11 15 6 0132 0132 0132 0321 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.418549055039 0.511442129672 13 2 2 15 1023 0213 0132 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 0.571561911823 0.967343774125 3 16 5 5 0132 0132 2103 2031 0 0 0 0 0 0 0 0 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 -1 1 0 -3 0 0 3 3 0 0 -3 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.839337999548 0.951238702207 4 14 12 3 2031 3012 3201 0132 0 0 0 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 0 0 0 0 0 -1 1 -4 0 4 0 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.242171568954 0.532980007544 4 7 14 13 0132 0132 0213 0213 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 0.347143446263 1.010816941000 10 14 4 5 2310 0213 0132 0213 0 0 0 0 0 0 -1 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 -1 4 -3 0 0 1 -1 -4 4 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.155813904914 0.937850931901 6 8 16 11 0132 1023 1302 0213 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.226935437119 0.711246539669 10 11 12 6 1230 0213 0213 0132 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 -1 1 0 4 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.282286368800 0.607815040903 16 16 8 7 3120 1230 1230 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.726580151679 0.807604411598 13 9 15 15 2031 0132 3012 3120 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.726580151679 0.807604411598 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_15' : d['c_0101_15'], 'c_1001_14' : d['c_1001_1'], 'c_1001_16' : negation(d['c_0011_15']), 'c_1001_11' : d['c_1001_1'], 'c_1001_10' : negation(d['c_0011_14']), 'c_1001_13' : d['c_0101_7'], 'c_1001_12' : d['c_1001_1'], 'c_1001_5' : d['c_0101_3'], 'c_1001_4' : d['c_0101_3'], 'c_1001_7' : d['c_0101_16'], 'c_1001_6' : d['c_0110_8'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0011_12']), 'c_1001_2' : d['c_1001_0'], 'c_1001_9' : negation(d['c_0011_15']), 'c_1001_8' : d['c_1001_0'], 'c_1010_13' : d['c_0110_8'], 'c_1010_12' : d['c_1010_12'], 'c_1010_11' : d['c_0101_16'], 'c_1010_10' : negation(d['c_0011_12']), 'c_1010_16' : negation(d['c_0011_15']), 'c_1010_15' : d['c_0101_16'], 'c_1010_14' : d['c_0110_8'], 's_3_11' : d['1'], 's_0_11' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_0_14' : d['1'], 's_0_15' : d['1'], 's_0_16' : d['1'], 's_3_16' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0011_14'], 'c_0101_10' : d['c_0101_10'], 'c_0101_16' : d['c_0101_16'], 'c_0101_15' : d['c_0101_15'], 'c_0101_14' : 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_13' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_2_16' : d['1'], 's_2_14' : d['1'], 's_2_15' : 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' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_0011_15' : d['c_0011_15'], 'c_0011_14' : d['c_0011_14'], 'c_0011_16' : d['c_0011_16'], 'c_1100_9' : negation(d['c_0101_10']), 'c_1100_8' : negation(d['c_0101_15']), 'c_0011_13' : d['c_0011_13'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_1010_12'], 'c_1100_4' : d['c_0101_10'], 'c_1100_7' : d['c_0110_8'], 'c_1100_6' : d['c_1010_12'], 'c_1100_1' : d['c_1010_12'], 'c_1100_0' : negation(d['c_0011_12']), 'c_1100_3' : negation(d['c_0011_12']), 'c_1100_2' : negation(d['c_0101_15']), 'c_1100_14' : d['c_1010_12'], 'c_1100_15' : d['c_0110_8'], 's_0_10' : d['1'], 'c_1100_16' : negation(d['c_0101_15']), 'c_1100_11' : d['c_0110_8'], 'c_1100_10' : negation(d['c_0011_12']), 'c_1100_13' : d['c_0101_16'], 's_3_10' : d['1'], 's_3_13' : d['1'], 'c_1010_7' : d['c_1001_1'], 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : d['c_0101_10'], 'c_1010_4' : d['c_1001_1'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0101_3'], 'c_1010_0' : d['c_1001_0'], 's_3_15' : d['1'], 'c_1010_9' : negation(d['c_0011_15']), 'c_1010_8' : negation(d['c_0101_15']), 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : 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_0101_10'], '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' : d['1'], 'c_0011_9' : negation(d['c_0011_16']), 'c_0011_8' : d['c_0011_13'], 'c_0011_5' : negation(d['c_0011_15']), 'c_0011_4' : d['c_0011_0'], 'c_0101_13' : negation(d['c_0011_16']), 'c_0011_6' : negation(d['c_0011_13']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_16'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0011_10']), 'c_0110_10' : d['c_0101_3'], 'c_0110_13' : d['c_0011_10'], 'c_0110_12' : negation(d['c_0101_10']), 'c_0110_15' : d['c_0101_7'], 'c_0110_14' : d['c_0011_10'], 'c_0110_16' : d['c_0101_7'], 's_0_13' : d['1'], 'c_0101_12' : d['c_0011_14'], 'c_0011_7' : d['c_0011_0'], 's_0_8' : d['1'], 's_0_9' : d['1'], 'c_0011_11' : negation(d['c_0011_0']), 's_3_14' : d['1'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0011_10'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : negation(d['c_0011_10']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_13'], 'c_0101_1' : negation(d['c_0011_16']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0101_8' : d['c_0101_7'], 'c_0011_10' : d['c_0011_10'], 's_1_16' : d['1'], 's_1_15' : d['1'], 's_1_14' : d['1'], 's_1_13' : d['1'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_3'], 'c_0110_8' : d['c_0110_8'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_16']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : d['c_0101_10'], 'c_0110_4' : d['c_0011_14'], 'c_0110_7' : d['c_0011_13'], 'c_0110_6' : negation(d['c_0011_16'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 18 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_12, c_0011_13, c_0011_14, c_0011_15, c_0011_16, c_0101_0, c_0101_10, c_0101_15, c_0101_16, c_0101_3, c_0101_7, c_0110_8, c_1001_0, c_1001_1, c_1010_12 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t + 9661208/6885*c_1010_12^3 - 32205187/6885*c_1010_12^2 + 19677224/2295*c_1010_12 + 28671268/6885, c_0011_0 - 1, c_0011_10 + c_1010_12, c_0011_12 - c_1010_12^3 + 3*c_1010_12^2 - 6*c_1010_12 - 2, c_0011_13 + 3*c_1010_12^3 - 10*c_1010_12^2 + 18*c_1010_12 + 9, c_0011_14 + 3*c_1010_12^3 - 10*c_1010_12^2 + 18*c_1010_12 + 8, c_0011_15 + 3*c_1010_12^3 - 10*c_1010_12^2 + 18*c_1010_12 + 8, c_0011_16 + 3*c_1010_12^3 - 10*c_1010_12^2 + 19*c_1010_12 + 8, c_0101_0 - 6*c_1010_12^3 + 20*c_1010_12^2 - 38*c_1010_12 - 17, c_0101_10 + c_1010_12^3 - 3*c_1010_12^2 + 6*c_1010_12 + 3, c_0101_15 - 3*c_1010_12^3 + 10*c_1010_12^2 - 18*c_1010_12 - 8, c_0101_16 + 2*c_1010_12^3 - 7*c_1010_12^2 + 12*c_1010_12 + 6, c_0101_3 - 4*c_1010_12^3 + 13*c_1010_12^2 - 25*c_1010_12 - 11, c_0101_7 + 5*c_1010_12^3 - 17*c_1010_12^2 + 31*c_1010_12 + 14, c_0110_8 + 3*c_1010_12^3 - 10*c_1010_12^2 + 19*c_1010_12 + 8, c_1001_0 + 3*c_1010_12^3 - 10*c_1010_12^2 + 19*c_1010_12 + 8, c_1001_1 - 3*c_1010_12^3 + 10*c_1010_12^2 - 19*c_1010_12 - 8, c_1010_12^4 - 3*c_1010_12^3 + 5*c_1010_12^2 + 5*c_1010_12 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 1871.400 Total time: 1871.599 seconds, Total memory usage: 5508.97MB