Magma V2.19-8 Tue Aug 20 2013 23:39:28 on localhost [Seed = 509114971] Type ? for help. Type -D to quit. Loading file "K13n593__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K13n593 geometric_solution 9.69196291 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 11 1 2 3 4 0132 0132 0132 0132 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 1 0 -1 0 0 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.652973201772 0.645015251511 0 5 7 6 0132 0132 0132 0132 0 0 0 0 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 0 0 0 0 0 4 -4 0 -5 0 5 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.646868096367 1.202327284239 3 0 4 7 0213 0132 1302 1230 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 -1 5 -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 0 0 0.224882805110 0.765670644761 2 8 5 0 0213 0132 1302 0132 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 5 -5 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.975735280301 0.636311367397 2 9 0 9 2031 0132 0132 1023 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 1 -1 -5 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.831640028243 0.368946224341 3 1 6 10 2031 0132 2031 0132 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 1 -1 0 0 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.024264719699 0.636311367397 7 8 1 5 1302 1023 0132 1302 0 0 0 0 0 0 0 0 1 0 -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 -4 0 4 0 1 -1 0 0 1 4 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.972890625049 0.857960059658 2 6 8 1 3012 2031 1023 0132 0 0 0 0 0 0 0 0 -1 0 0 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 -1 1 0 4 0 0 -4 0 -1 0 1 0 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.652973201772 0.645015251511 6 3 7 10 1023 0132 1023 2103 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 -1 1 1 -1 0 0 -4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.704441136881 0.437625053796 10 4 10 4 1230 0132 2103 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.789436186664 0.304687995331 9 9 5 8 2103 3012 0132 2103 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.094476005150 2.114854090593 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : negation(d['c_0011_3']), 'c_1001_5' : d['c_0101_8'], 'c_1001_4' : d['c_0110_4'], 'c_1001_7' : d['c_0101_8'], 'c_1001_6' : d['c_0101_8'], 'c_1001_1' : negation(d['c_0011_3']), 'c_1001_0' : d['c_0101_7'], 'c_1001_3' : d['c_0101_10'], 'c_1001_2' : d['c_0110_4'], 'c_1001_9' : d['c_0011_10'], 'c_1001_8' : d['c_0101_7'], 'c_1010_10' : negation(d['c_0101_10']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_10' : d['c_0101_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' : negation(d['1']), 's_2_6' : negation(d['1']), 's_2_7' : d['1'], 's_2_10' : 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' : d['1'], 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : negation(d['c_0101_5']), 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_0110_8']), 'c_1100_4' : d['c_0101_5'], 'c_1100_7' : d['c_0101_5'], 'c_1100_6' : d['c_0101_5'], 'c_1100_1' : d['c_0101_5'], 'c_1100_0' : d['c_0101_5'], 'c_1100_3' : d['c_0101_5'], 'c_1100_2' : d['c_0101_1'], 'c_1100_10' : negation(d['c_0110_8']), 'c_1010_7' : negation(d['c_0011_3']), 'c_1010_6' : d['c_0110_8'], 'c_1010_5' : negation(d['c_0011_3']), 'c_1010_4' : d['c_0011_10'], 'c_1010_3' : d['c_0101_7'], 'c_1010_2' : d['c_0101_7'], 'c_1010_1' : d['c_0101_8'], 'c_1010_0' : d['c_0110_4'], 'c_1010_9' : d['c_0110_4'], 'c_1010_8' : d['c_0101_10'], 'c_1100_8' : negation(d['c_0101_5']), 's_3_1' : negation(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' : negation(d['1']), 's_3_9' : d['1'], 's_3_8' : d['1'], 's_1_7' : d['1'], 's_1_6' : 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' : negation(d['1']), 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_3'], 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_3']), 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : negation(d['c_0011_3']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_10' : d['c_0101_5'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : negation(d['c_0011_7']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_0']), 'c_0101_2' : d['c_0011_3'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_7']), 'c_0101_9' : d['c_0101_10'], 'c_0101_8' : d['c_0101_8'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_10'], 'c_0110_8' : d['c_0110_8'], 'c_0110_1' : negation(d['c_0011_7']), 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0011_7']), 'c_0110_2' : d['c_0011_7'], 'c_0110_5' : d['c_0101_10'], 'c_0110_4' : d['c_0110_4'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : negation(d['c_0101_8'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_7, c_0101_1, c_0101_10, c_0101_5, c_0101_7, c_0101_8, c_0110_4, c_0110_8 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 10274029/328767488*c_0110_8^7 - 127982711/328767488*c_0110_8^6 - 323369107/164383744*c_0110_8^5 - 171959357/41095936*c_0110_8^4 - 1667200783/328767488*c_0110_8^3 - 294878881/46966784*c_0110_8^2 - 225548381/41095936*c_0110_8 - 472810181/164383744, c_0011_0 - 1, c_0011_10 - 205/8512*c_0110_8^7 + 2319/8512*c_0110_8^6 + 7883/4256*c_0110_8^5 + 5399/1064*c_0110_8^4 + 67055/8512*c_0110_8^3 + 8633/1216*c_0110_8^2 + 3163/1064*c_0110_8 - 1619/4256, c_0011_3 + 13/3584*c_0110_8^7 - 279/3584*c_0110_8^6 + 333/1792*c_0110_8^5 + 659/448*c_0110_8^4 + 12433/3584*c_0110_8^3 + 1919/512*c_0110_8^2 + 1011/448*c_0110_8 - 421/1792, c_0011_7 - 461/136192*c_0110_8^7 + 4535/136192*c_0110_8^6 + 21843/68096*c_0110_8^5 + 17709/17024*c_0110_8^4 + 274735/136192*c_0110_8^3 + 46945/19456*c_0110_8^2 + 15621/17024*c_0110_8 + 10949/68096, c_0101_1 - 3903/136192*c_0110_8^7 + 43565/136192*c_0110_8^6 + 153505/68096*c_0110_8^5 + 108959/17024*c_0110_8^4 + 1285589/136192*c_0110_8^3 + 160859/19456*c_0110_8^2 + 54759/17024*c_0110_8 + 9831/68096, c_0101_10 - 759/34048*c_0110_8^7 + 9733/34048*c_0110_8^6 + 21593/17024*c_0110_8^5 + 12631/4256*c_0110_8^4 + 119549/34048*c_0110_8^3 + 12803/4864*c_0110_8^2 - 677/4256*c_0110_8 - 13681/17024, c_0101_5 + 13/3584*c_0110_8^7 - 279/3584*c_0110_8^6 + 333/1792*c_0110_8^5 + 659/448*c_0110_8^4 + 12433/3584*c_0110_8^3 + 1919/512*c_0110_8^2 + 1011/448*c_0110_8 - 421/1792, c_0101_7 + 1, c_0101_8 + 461/136192*c_0110_8^7 - 4535/136192*c_0110_8^6 - 21843/68096*c_0110_8^5 - 17709/17024*c_0110_8^4 - 274735/136192*c_0110_8^3 - 46945/19456*c_0110_8^2 - 15621/17024*c_0110_8 - 10949/68096, c_0110_4 - 123/19456*c_0110_8^7 + 1057/19456*c_0110_8^6 + 6949/9728*c_0110_8^5 + 5451/2432*c_0110_8^4 + 68201/19456*c_0110_8^3 + 40241/19456*c_0110_8^2 - 861/2432*c_0110_8 - 18877/9728, c_0110_8^8 - 12*c_0110_8^7 - 67*c_0110_8^6 - 186*c_0110_8^5 - 291*c_0110_8^4 - 304*c_0110_8^3 - 157*c_0110_8^2 - 42*c_0110_8 + 34 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.710 Total time: 0.920 seconds, Total memory usage: 32.09MB