Magma V2.19-8 Wed Aug 21 2013 01:02:50 on localhost [Seed = 1679982478] Type ? for help. Type -D to quit. Loading file "L14n15925__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n15925 geometric_solution 11.12360009 oriented_manifold CS_known 0.0000000000000004 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 2 0132 0132 0132 3120 0 1 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 -1 1 0 0 -1 1 0 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.903566206388 0.581504789847 0 4 3 5 0132 0132 3120 0132 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 0 0 0.501350993956 0.326666994718 0 0 5 6 3120 0132 3012 0132 0 1 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 0 0 0 -1 0 0 1 2 0 0 -2 -1 -2 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.277549413677 1.673648909034 7 8 1 0 0132 0132 3120 0132 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 0 0 0 0 0 0 -1 0 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 0.685125598585 0.743897132105 9 1 6 10 0132 0132 1230 0132 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 -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 0.974238674400 0.478633702769 7 2 1 6 2103 1230 0132 1230 1 1 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 0 0 0 0 0 1 -3 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.501350993956 0.326666994718 5 11 2 4 3012 0132 0132 3012 0 1 1 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 0 0 0 0 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.330133969020 0.727328566279 3 9 5 12 0132 2103 2103 0132 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 -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 0.112125753964 2.083245467622 9 3 11 10 2103 0132 0132 3201 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 0 0 0 0 0 1 0 -1 -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 -0.015478272516 0.939225359294 4 7 8 11 0132 2103 2103 1302 1 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 0 0 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 0 0 0 0 0 0.689635126002 0.182218664001 12 8 4 12 1230 2310 0132 3120 1 1 1 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 -1 1 -3 0 0 3 -1 0 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.736438931934 1.002180498697 12 6 9 8 3201 0132 2031 0132 0 1 0 1 0 0 0 0 -1 0 0 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 0 0 0 2 0 0 -2 0 0 0 0 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.530735813578 0.490882521753 10 10 7 11 3120 3012 0132 2310 0 1 1 1 0 0 0 0 1 0 0 -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 -3 0 1 2 -1 3 0 -2 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.523866879226 0.647944191612 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0101_4']), 'c_1001_10' : d['c_1001_1'], 'c_1001_12' : negation(d['c_0011_10']), 'c_1001_5' : d['c_1001_4'], 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : negation(d['c_0011_0']), 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_1001_1']), 'c_1001_2' : d['c_0011_0'], 'c_1001_9' : negation(d['c_0011_3']), 'c_1001_8' : d['c_1001_0'], 'c_1010_12' : negation(d['c_0101_10']), 'c_1010_11' : d['c_1001_0'], 'c_1010_10' : negation(d['c_0011_12']), 's_0_10' : d['1'], 's_0_11' : 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' : negation(d['c_0011_12']), 'c_0101_10' : d['c_0101_10'], 's_2_0' : negation(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_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : d['1'], 's_0_9' : negation(d['1']), 's_0_6' : d['1'], 's_0_7' : negation(d['1']), 's_0_4' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : negation(d['c_0011_12']), 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0101_12']), 'c_1100_4' : negation(d['c_0101_12']), 'c_1100_7' : d['c_0011_11'], 'c_1100_6' : negation(d['c_1001_4']), 'c_1100_1' : negation(d['c_0101_12']), 'c_1100_0' : negation(d['c_0101_1']), 'c_1100_3' : negation(d['c_0101_1']), 'c_1100_2' : negation(d['c_1001_4']), 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0011_10']), 'c_1100_10' : negation(d['c_0101_12']), 's_3_10' : d['1'], 'c_1010_7' : negation(d['c_0011_10']), 'c_1010_6' : negation(d['c_0101_4']), 'c_1010_5' : d['c_0101_1'], '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_1001_4'], 'c_1010_0' : d['c_0011_0'], 'c_1010_9' : d['c_0011_10'], 'c_1010_8' : negation(d['c_1001_1']), 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(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_0011_11'], 's_1_7' : negation(d['1']), 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(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' : negation(d['1']), 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_0']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : negation(d['c_0011_0']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_3']), 'c_0110_6' : negation(d['c_0101_12']), '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_11' : d['c_0101_10'], 'c_0110_10' : d['c_0011_12'], 'c_0110_12' : d['c_0011_12'], 'c_0101_12' : d['c_0101_12'], 'c_0110_0' : d['c_0101_1'], 'c_0011_6' : negation(d['c_0011_11']), 'c_0101_7' : d['c_0101_0'], 'c_0101_6' : d['c_0101_1'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_12'], 'c_0101_2' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_10'], 'c_0101_8' : d['c_0101_10'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_4'], 'c_0110_8' : d['c_0011_12'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : negation(d['c_0011_11']), 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_12'], 'c_1100_8' : negation(d['c_0011_10'])})} 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_3, c_0101_0, c_0101_1, c_0101_10, c_0101_12, c_0101_4, c_1001_0, c_1001_1, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t + 1058835815/7686656*c_1001_1^10 - 2432802581/3843328*c_1001_1^9 - 183855117/960832*c_1001_1^8 + 7791710461/1921664*c_1001_1^7 - 34443267153/7686656*c_1001_1^6 + 756543801/7686656*c_1001_1^5 - 3861508995/3843328*c_1001_1^4 + 31382263177/7686656*c_1001_1^3 - 16042193227/7686656*c_1001_1^2 + 409839937/960832*c_1001_1 + 1908251127/7686656, c_0011_0 - 1, c_0011_10 + 11891/240208*c_1001_1^10 - 63535/240208*c_1001_1^9 + 10419/240208*c_1001_1^8 + 420241/240208*c_1001_1^7 - 277263/120104*c_1001_1^6 - 122319/240208*c_1001_1^5 - 201077/240208*c_1001_1^4 + 331531/120104*c_1001_1^3 + 67629/240208*c_1001_1^2 + 126461/240208*c_1001_1 - 21701/120104, c_0011_11 + c_1001_1, c_0011_12 + 16057/240208*c_1001_1^10 - 54569/240208*c_1001_1^9 - 103247/240208*c_1001_1^8 + 418799/240208*c_1001_1^7 + 32867/120104*c_1001_1^6 - 453429/240208*c_1001_1^5 - 620155/240208*c_1001_1^4 + 179153/120104*c_1001_1^3 + 457695/240208*c_1001_1^2 + 130683/240208*c_1001_1 - 54459/120104, c_0011_3 - 35547/240208*c_1001_1^10 + 125779/240208*c_1001_1^9 + 196749/240208*c_1001_1^8 - 877045/240208*c_1001_1^7 + 57927/120104*c_1001_1^6 + 410335/240208*c_1001_1^5 + 846505/240208*c_1001_1^4 - 314211/120104*c_1001_1^3 - 317709/240208*c_1001_1^2 - 31513/240208*c_1001_1 + 99169/120104, c_0101_0 - 1, c_0101_1 + 7075/60052*c_1001_1^10 - 7381/15013*c_1001_1^9 - 26963/60052*c_1001_1^8 + 104699/30026*c_1001_1^7 - 53957/30026*c_1001_1^6 - 135565/60052*c_1001_1^5 - 66553/30026*c_1001_1^4 + 118153/30026*c_1001_1^3 + 42559/60052*c_1001_1^2 + 8299/15013*c_1001_1 - 7156/15013, c_0101_10 + 11891/240208*c_1001_1^10 - 63535/240208*c_1001_1^9 + 10419/240208*c_1001_1^8 + 420241/240208*c_1001_1^7 - 277263/120104*c_1001_1^6 - 122319/240208*c_1001_1^5 - 201077/240208*c_1001_1^4 + 331531/120104*c_1001_1^3 + 67629/240208*c_1001_1^2 + 126461/240208*c_1001_1 - 21701/120104, c_0101_12 + 7075/60052*c_1001_1^10 - 7381/15013*c_1001_1^9 - 26963/60052*c_1001_1^8 + 104699/30026*c_1001_1^7 - 53957/30026*c_1001_1^6 - 135565/60052*c_1001_1^5 - 66553/30026*c_1001_1^4 + 118153/30026*c_1001_1^3 + 42559/60052*c_1001_1^2 - 6714/15013*c_1001_1 - 7156/15013, c_0101_4 + 35547/240208*c_1001_1^10 - 125779/240208*c_1001_1^9 - 196749/240208*c_1001_1^8 + 877045/240208*c_1001_1^7 - 57927/120104*c_1001_1^6 - 410335/240208*c_1001_1^5 - 846505/240208*c_1001_1^4 + 314211/120104*c_1001_1^3 + 317709/240208*c_1001_1^2 + 31513/240208*c_1001_1 - 99169/120104, c_1001_0 + 63503/240208*c_1001_1^10 - 257531/240208*c_1001_1^9 - 240785/240208*c_1001_1^8 + 1784293/240208*c_1001_1^7 - 517315/120104*c_1001_1^6 - 827003/240208*c_1001_1^5 - 746745/240208*c_1001_1^4 + 799463/120104*c_1001_1^3 - 262351/240208*c_1001_1^2 + 102945/240208*c_1001_1 - 11121/120104, c_1001_1^11 - 4*c_1001_1^10 - 4*c_1001_1^9 + 28*c_1001_1^8 - 15*c_1001_1^7 - 15*c_1001_1^6 - 12*c_1001_1^5 + 27*c_1001_1^4 + c_1001_1^3 - 2*c_1001_1^2 + c_1001_1 + 2, c_1001_4 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.230 Total time: 0.440 seconds, Total memory usage: 32.09MB