Magma V2.19-8 Wed Aug 21 2013 00:52:04 on localhost [Seed = 1157845013] Type ? for help. Type -D to quit. Loading file "L11n56__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L11n56 geometric_solution 12.07406134 oriented_manifold CS_known 0.0000000000000004 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 0 0 1 0 0 0 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 0 -1 1 0 0 1 -1 -1 1 0 0 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.702737824826 0.784824479958 0 2 3 5 0132 0321 0321 0132 1 0 1 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 0 0 0 3 -1 0 -2 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.541841121311 0.455132343391 6 0 4 1 0132 0132 0132 0321 1 0 1 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 0 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.957580189991 1.340779659686 7 8 1 0 0132 0132 0321 0132 1 0 1 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 -1 0 1 0 0 1 -1 0 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.367508877415 0.537008624224 9 10 0 2 0132 0132 0132 0132 1 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 1 -1 0 -1 0 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 -0.277183876331 0.929699480961 7 8 1 11 2103 0213 0132 0132 1 0 1 1 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 -1 1 0 0 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.543482110241 0.673037383498 2 9 9 10 0132 3120 1230 3120 0 0 0 1 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 -1 1 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 0.722816123669 0.929699480961 3 11 5 10 0132 3120 2103 0132 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 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 0.038709321793 1.408110385477 12 3 5 12 0132 0132 0213 2103 1 1 0 1 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 -1 0 0 0 0 0 1 -3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.555268733379 1.045581828126 4 6 12 6 0132 3120 1023 3012 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 -1 1 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 0.294509259323 0.987810363125 6 4 7 11 3120 0132 0132 3120 1 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 -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 -0.277183876331 0.929699480961 10 7 5 12 3120 3120 0132 2031 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.042665218049 1.284016939530 8 11 9 8 0132 1302 1023 2103 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 -1 0 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 0.555268733379 1.045581828126 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_5']), 'c_1001_10' : negation(d['c_0011_11']), 'c_1001_12' : d['c_0101_2'], 'c_1001_5' : d['c_1001_0'], 'c_1001_4' : negation(d['c_0011_11']), 'c_1001_7' : d['c_0011_5'], 'c_1001_6' : negation(d['c_0101_12']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : negation(d['c_0011_11']), 'c_1001_9' : d['c_0101_12'], 'c_1001_8' : d['c_1001_0'], 'c_1010_12' : negation(d['c_1001_3']), 'c_1010_11' : d['c_0011_12'], 'c_1010_10' : negation(d['c_0011_11']), 's_3_11' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : negation(d['c_0101_1']), 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : negation(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' : d['1'], 's_0_9' : negation(d['1']), 's_0_6' : negation(d['1']), 's_0_7' : d['1'], 's_0_4' : negation(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_11'], 'c_1100_8' : negation(d['c_0011_5']), 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_1001_3'], 'c_1100_4' : d['c_1001_1'], 'c_1100_7' : negation(d['c_0101_11']), 'c_1100_6' : d['c_0101_1'], 'c_1100_1' : d['c_1001_3'], 'c_1100_0' : d['c_1001_1'], 'c_1100_3' : d['c_1001_1'], 'c_1100_2' : d['c_1001_1'], 's_0_10' : d['1'], 'c_1100_11' : d['c_1001_3'], 'c_1100_10' : negation(d['c_0101_11']), 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_11']), 'c_1010_6' : negation(d['c_0011_10']), 'c_1010_5' : negation(d['c_0011_5']), 'c_1010_4' : negation(d['c_0011_11']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_0'], 'c_1010_0' : negation(d['c_0011_11']), 'c_1010_9' : negation(d['c_0011_0']), 'c_1010_8' : d['c_1001_3'], 's_3_1' : 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' : d['1'], 's_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : negation(d['1']), 's_3_8' : d['1'], 'c_1100_12' : negation(d['c_0101_12']), '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' : negation(d['c_0011_12']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : negation(d['c_0011_12']), 'c_0011_6' : d['c_0011_0'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_12'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_2'], 'c_0110_10' : d['c_0101_2'], 'c_0110_12' : d['c_0011_5'], 'c_0101_12' : d['c_0101_12'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_0'], 'c_0101_6' : d['c_0011_0'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0101_1']), '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_2'], 'c_0101_8' : d['c_0011_5'], 'c_0011_10' : d['c_0011_10'], '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_0101_12'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_0101_12'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_0'], 'c_0110_5' : d['c_0101_11'], 'c_0110_4' : d['c_0101_2'], 'c_0110_7' : negation(d['c_0101_1']), 'c_0110_6' : d['c_0101_2']})} 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_11, c_0011_12, c_0011_5, c_0101_0, c_0101_1, c_0101_11, c_0101_12, c_0101_2, c_1001_0, c_1001_1, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t - 859335079/127084984*c_1001_3^8 + 1004190829/254169968*c_1001_3^7 - 4460867675/254169968*c_1001_3^6 + 5817346203/1016679872*c_1001_3^5 - 3327578681/254169968*c_1001_3^4 - 28671598275/1016679872*c_1001_3^3 + 9610960833/508339936*c_1001_3^2 - 185347815/9775768*c_1001_3 - 6754359799/1016679872, c_0011_0 - 1, c_0011_10 - 216231/1221971*c_1001_3^8 - 1422483/2443942*c_1001_3^7 - 580971/2443942*c_1001_3^6 - 14411589/9775768*c_1001_3^5 + 385671/2443942*c_1001_3^4 - 18295451/9775768*c_1001_3^3 - 11722299/4887884*c_1001_3^2 + 880795/1221971*c_1001_3 - 25321823/9775768, c_0011_11 - 256968/1221971*c_1001_3^8 - 435364/1221971*c_1001_3^7 - 951340/1221971*c_1001_3^6 - 485747/1221971*c_1001_3^5 - 1107430/1221971*c_1001_3^4 - 163469/1221971*c_1001_3^3 - 1637850/1221971*c_1001_3^2 - 215130/1221971*c_1001_3 + 858981/1221971, c_0011_12 - 361112/1221971*c_1001_3^8 - 223468/1221971*c_1001_3^7 - 533132/1221971*c_1001_3^6 - 456941/1221971*c_1001_3^5 + 700142/1221971*c_1001_3^4 - 1299748/1221971*c_1001_3^3 + 580100/1221971*c_1001_3^2 + 90968/1221971*c_1001_3 + 378652/1221971, c_0011_5 + 177288/1221971*c_1001_3^8 + 603492/1221971*c_1001_3^7 + 732132/1221971*c_1001_3^6 + 1737079/1221971*c_1001_3^5 + 839822/1221971*c_1001_3^4 + 2395688/1221971*c_1001_3^3 + 1755184/1221971*c_1001_3^2 + 972543/1221971*c_1001_3 + 913520/1221971, c_0101_0 - 550928/1221971*c_1001_3^8 - 305848/1221971*c_1001_3^7 - 1706072/1221971*c_1001_3^6 - 975530/1221971*c_1001_3^5 - 1677566/1221971*c_1001_3^4 - 2732745/1221971*c_1001_3^3 - 1696953/1221971*c_1001_3^2 - 1059147/1221971*c_1001_3 - 617618/1221971, c_0101_1 - 1, c_0101_11 - 404024/1221971*c_1001_3^8 + 550204/1221971*c_1001_3^7 - 863192/1221971*c_1001_3^6 + 1918895/1221971*c_1001_3^5 - 171273/1221971*c_1001_3^4 + 354405/1221971*c_1001_3^3 + 2486553/1221971*c_1001_3^2 + 423791/1221971*c_1001_3 + 1808778/1221971, c_0101_12 - 1, c_0101_2 + 216231/1221971*c_1001_3^8 + 1422483/2443942*c_1001_3^7 + 580971/2443942*c_1001_3^6 + 14411589/9775768*c_1001_3^5 - 385671/2443942*c_1001_3^4 + 18295451/9775768*c_1001_3^3 + 11722299/4887884*c_1001_3^2 - 880795/1221971*c_1001_3 + 15546055/9775768, c_1001_0 + 784048/1221971*c_1001_3^8 + 10256/1221971*c_1001_3^7 + 1837028/1221971*c_1001_3^6 - 398594/1221971*c_1001_3^5 + 1071681/1221971*c_1001_3^4 + 2539990/1221971*c_1001_3^3 - 771285/1221971*c_1001_3^2 + 970589/1221971*c_1001_3 - 934179/1221971, c_1001_1 - 404024/1221971*c_1001_3^8 + 550204/1221971*c_1001_3^7 - 863192/1221971*c_1001_3^6 + 1918895/1221971*c_1001_3^5 - 171273/1221971*c_1001_3^4 + 354405/1221971*c_1001_3^3 + 2486553/1221971*c_1001_3^2 + 423791/1221971*c_1001_3 + 1808778/1221971, c_1001_3^9 - 1/2*c_1001_3^8 + 3*c_1001_3^7 - 9/8*c_1001_3^6 + 27/8*c_1001_3^5 + 25/8*c_1001_3^4 - 5/8*c_1001_3^3 + 13/4*c_1001_3^2 + 1/8*c_1001_3 + 13/8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.120 Total time: 0.330 seconds, Total memory usage: 32.09MB