Magma V2.19-8 Wed Aug 21 2013 01:07:55 on localhost [Seed = 964632595] Type ? for help. Type -D to quit. Loading file "L14n36231__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n36231 geometric_solution 11.33972142 oriented_manifold CS_known -0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 0 1 0 0 0 0 0 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 0 1 -1 -1 0 3 -2 -5 5 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.173406253492 0.860599930182 0 5 7 6 0132 0132 0132 0132 0 0 0 1 0 0 -1 1 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 -2 2 1 0 -1 0 -1 1 0 0 5 0 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.230344562661 0.351851285389 8 0 10 9 0132 0132 0132 0132 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 0 0 0 1 0 0 -1 0 0 0 0 0 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.238863027190 0.907275274958 5 11 11 0 2103 0132 1302 0132 1 0 0 0 0 0 0 0 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 1 0 -1 0 0 3 -3 2 -3 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.494899286433 0.909282545883 8 7 0 6 2031 2103 0132 2031 1 0 0 1 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 -1 1 0 0 0 2 -2 0 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.705931599872 2.326169694135 8 1 3 6 1023 0132 2103 3120 0 0 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 0 0 0 0 0 -2 2 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 -0.225003608319 1.071904424949 5 4 1 12 3120 1302 0132 0132 0 0 1 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 2 -2 0 0 0 0 0 0 0 0 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.044817454601 1.533750576791 10 4 9 1 0321 2103 3201 0132 0 0 1 1 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 -2 0 2 0 0 -1 1 -6 1 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.434976766010 0.579020176052 2 5 4 10 0132 1023 1302 3201 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 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 1.780854848925 1.943366346139 7 12 2 11 2310 2310 0132 1023 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 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 -0.271372358280 1.030755717496 7 8 12 2 0321 2310 3201 0132 1 1 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 6 -1 0 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.180186153717 0.461846151842 3 3 12 9 2031 0132 2310 1023 1 1 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 -1 0 1 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 0.538219625985 0.848432894599 10 11 6 9 2310 3201 0132 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.188455641150 1.618045330060 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_0'], 'c_1001_10' : negation(d['c_0101_12']), 'c_1001_12' : negation(d['c_0101_11']), 'c_1001_5' : negation(d['c_0011_11']), 'c_1001_4' : d['c_0011_7'], 'c_1001_7' : d['c_0011_4'], 'c_1001_6' : negation(d['c_0011_11']), 'c_1001_1' : negation(d['c_0011_6']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0101_10'], 'c_1001_2' : d['c_0011_7'], 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : negation(d['c_0011_11']), 'c_1010_12' : negation(d['c_1001_0']), 'c_1010_11' : d['c_0101_10'], 'c_1010_10' : d['c_0011_7'], 's_0_10' : negation(d['1']), 's_3_10' : negation(d['1']), 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 'c_0101_12' : d['c_0101_12'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_10'], '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' : 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' : d['1'], 's_0_6' : negation(d['1']), 's_0_7' : negation(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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0101_0']), 'c_1100_4' : d['c_0101_11'], 'c_1100_7' : negation(d['c_0011_9']), 'c_1100_6' : negation(d['c_0011_9']), 'c_1100_1' : negation(d['c_0011_9']), 'c_1100_0' : d['c_0101_11'], 'c_1100_3' : d['c_0101_11'], 'c_1100_2' : negation(d['c_0011_12']), 's_3_11' : d['1'], 'c_1100_9' : negation(d['c_0011_12']), 'c_1100_11' : d['c_0011_12'], 'c_1100_10' : negation(d['c_0011_12']), 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_6']), 'c_1010_6' : negation(d['c_0101_11']), 'c_1010_5' : negation(d['c_0011_6']), 'c_1010_4' : d['c_0011_6'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0011_11']), 'c_1010_0' : d['c_0011_7'], 'c_1010_9' : d['c_0101_10'], 'c_1010_8' : d['c_0101_12'], 'c_1100_8' : negation(d['c_0011_10']), 's_3_1' : negation(d['1']), 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : negation(d['1']), 's_3_4' : d['1'], 's_3_7' : negation(d['1']), 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : negation(d['c_0011_9']), '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' : negation(d['1']), 's_1_1' : negation(d['1']), 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_9'], 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_7'], '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_11']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_10'], 'c_0110_10' : negation(d['c_0011_7']), 'c_0110_12' : negation(d['c_0101_10']), 'c_0101_7' : negation(d['c_0101_10']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0011_11']), 'c_0101_4' : negation(d['c_0011_10']), 'c_0101_3' : negation(d['c_0011_11']), 'c_0101_2' : negation(d['c_0011_7']), 'c_0101_1' : negation(d['c_0011_10']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_4']), 'c_0101_8' : negation(d['c_0011_4']), 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_10'], 'c_0110_8' : negation(d['c_0011_7']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_10']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_4']), 'c_0110_5' : d['c_0101_12'], 'c_0110_4' : negation(d['c_0011_11']), 'c_0110_7' : negation(d['c_0011_10']), 'c_0110_6' : d['c_0101_12'], 's_2_9' : d['1']})} 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_4, c_0011_6, c_0011_7, c_0011_9, c_0101_0, c_0101_10, c_0101_11, c_0101_12, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t + 4600902/148555*c_1001_0^8 - 1348249/148555*c_1001_0^7 - 1387162/4015*c_1001_0^6 + 13043201/29711*c_1001_0^5 + 149243833/148555*c_1001_0^4 - 442800616/148555*c_1001_0^3 + 461949769/148555*c_1001_0^2 - 238908653/148555*c_1001_0 + 51551309/148555, c_0011_0 - 1, c_0011_10 - 203/365*c_1001_0^8 - 194/365*c_1001_0^7 + 1866/365*c_1001_0^6 - 150/73*c_1001_0^5 - 6112/365*c_1001_0^4 + 11939/365*c_1001_0^3 - 10431/365*c_1001_0^2 + 4592/365*c_1001_0 - 711/365, c_0011_11 - 98/365*c_1001_0^8 - 144/365*c_1001_0^7 + 926/365*c_1001_0^6 + 61/73*c_1001_0^5 - 3517/365*c_1001_0^4 + 3624/365*c_1001_0^3 - 341/365*c_1001_0^2 - 1043/365*c_1001_0 + 349/365, c_0011_12 - 317/365*c_1001_0^8 - 436/365*c_1001_0^7 + 2824/365*c_1001_0^6 + 61/73*c_1001_0^5 - 9868/365*c_1001_0^4 + 13406/365*c_1001_0^3 - 8809/365*c_1001_0^2 + 3118/365*c_1001_0 - 454/365, c_0011_4 + 1, c_0011_6 - 362/365*c_1001_0^8 - 301/365*c_1001_0^7 + 3644/365*c_1001_0^6 - 238/73*c_1001_0^5 - 12753/365*c_1001_0^4 + 21141/365*c_1001_0^3 - 13759/365*c_1001_0^2 + 3708/365*c_1001_0 - 74/365, c_0011_7 + 231/365*c_1001_0^8 + 548/365*c_1001_0^7 - 1557/365*c_1001_0^6 - 368/73*c_1001_0^5 + 5709/365*c_1001_0^4 - 4058/365*c_1001_0^3 + 1247/365*c_1001_0^2 + 816/365*c_1001_0 - 223/365, c_0011_9 - 61/365*c_1001_0^8 + 37/365*c_1001_0^7 + 852/365*c_1001_0^6 - 149/73*c_1001_0^5 - 3124/365*c_1001_0^4 + 5578/365*c_1001_0^3 - 2987/365*c_1001_0^2 + 159/365*c_1001_0 + 288/365, c_0101_0 - 1, c_0101_10 + 114/365*c_1001_0^8 + 242/365*c_1001_0^7 - 958/365*c_1001_0^6 - 211/73*c_1001_0^5 + 3756/365*c_1001_0^4 - 1467/365*c_1001_0^3 - 1622/365*c_1001_0^2 + 1474/365*c_1001_0 - 257/365, c_0101_11 - 37/365*c_1001_0^8 - 181/365*c_1001_0^7 + 74/365*c_1001_0^6 + 210/73*c_1001_0^5 - 393/365*c_1001_0^4 - 1954/365*c_1001_0^3 + 2281/365*c_1001_0^2 - 1932/365*c_1001_0 + 426/365, c_0101_12 - 21/73*c_1001_0^8 - 83/73*c_1001_0^7 + 115/73*c_1001_0^6 + 519/73*c_1001_0^5 - 592/73*c_1001_0^4 - 892/73*c_1001_0^3 + 1705/73*c_1001_0^2 - 990/73*c_1001_0 + 153/73, c_1001_0^9 - 11*c_1001_0^7 + 11*c_1001_0^6 + 34*c_1001_0^5 - 85*c_1001_0^4 + 81*c_1001_0^3 - 40*c_1001_0^2 + 9*c_1001_0 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.380 Total time: 0.590 seconds, Total memory usage: 32.09MB