Magma V2.19-8 Tue Aug 20 2013 23:56:15 on localhost [Seed = 408842290] Type ? for help. Type -D to quit. Loading file "L14n15801__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n15801 geometric_solution 10.99430948 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 2 0132 0132 0132 0213 0 1 1 1 0 0 -1 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 -1 1 0 -1 0 1 0 4 0 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.267175849687 1.314221398578 0 4 6 5 0132 0132 0132 0132 1 1 1 1 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 -1 1 1 0 -1 0 0 0 0 0 -4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.202476846860 1.608594336724 7 0 8 0 0132 0132 0132 0213 0 1 1 1 0 0 1 -1 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 -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 0 0.267175849687 1.314221398578 4 8 8 0 2310 0132 0321 0132 0 1 1 1 0 -1 0 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 1 0 -1 0 0 1 -1 1 -1 0 0 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.851450200158 0.730707232469 7 1 3 9 1023 0132 3201 0132 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 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 0.247399947993 0.499002635447 7 8 1 10 2310 1023 0132 0132 1 1 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 0 0 0 1 -1 0 0 0 0 0 0 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.943520166156 0.733788528174 10 9 11 1 0132 2031 0132 0132 1 1 1 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 0 1 0 0 -1 1 3 1 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.124920715266 0.517624315779 2 4 5 10 0132 1023 3201 2031 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.339584183608 0.513614406216 5 3 3 2 1023 0132 0321 0132 0 1 1 1 0 1 0 -1 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 -1 0 -3 4 -3 3 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.851450200158 0.730707232469 6 11 4 11 1302 2031 0132 0321 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 1 -1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.111034039837 0.821566635519 6 7 5 11 0132 1302 0132 0132 1 1 1 1 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 0 0 0 0 0 0 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.337341165116 0.729159987330 9 9 10 6 1302 0321 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 -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 -0.161550985369 1.195353242205 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_3']), 'c_1001_10' : d['c_0101_2'], 'c_1001_5' : negation(d['c_0101_3']), 'c_1001_4' : negation(d['c_0101_3']), 'c_1001_7' : negation(d['c_0101_0']), 'c_1001_6' : d['c_0011_11'], 'c_1001_1' : d['c_0011_9'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0011_9'], 'c_1001_8' : d['c_1001_0'], 'c_1010_11' : d['c_0011_11'], 'c_1010_10' : negation(d['c_0011_3']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0011_9']), 'c_0101_10' : 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' : d['1'], 's_2_5' : negation(d['1']), 's_2_6' : d['1'], 's_2_7' : negation(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' : d['1'], 's_0_7' : negation(d['1']), 's_0_4' : d['1'], 's_0_5' : negation(d['1']), 's_0_2' : negation(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_1100_8' : d['c_1001_2'], 'c_1100_5' : d['c_1100_1'], 'c_1100_4' : negation(d['c_0011_3']), 'c_1100_7' : d['c_0011_3'], 'c_1100_6' : d['c_1100_1'], 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : d['c_1001_0'], 'c_1100_3' : d['c_1001_0'], 'c_1100_2' : d['c_1001_2'], 's_3_11' : d['1'], 'c_1100_11' : d['c_1100_1'], 'c_1100_10' : d['c_1100_1'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0011_10'], 'c_1010_6' : d['c_0011_9'], 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : d['c_0011_9'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0101_3']), 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_0011_11'], 'c_1010_8' : d['c_1001_2'], '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' : 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' : 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_9'], 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : negation(d['c_0011_10']), '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' : negation(d['c_0011_9']), 'c_0110_10' : negation(d['c_0011_9']), 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : negation(d['c_0101_1']), 'c_0101_6' : negation(d['c_0011_9']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : negation(d['c_0101_0']), 'c_0101_3' : d['c_0101_3'], '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_0011_10'], 'c_0101_8' : negation(d['c_0101_3']), 'c_0011_10' : d['c_0011_10'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_11']), 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0011_3']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_1']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0011_10'], 'c_0110_7' : d['c_0101_2'], 'c_0110_6' : d['c_0101_1']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_3, c_0011_9, c_0101_0, c_0101_1, c_0101_2, c_0101_3, c_1001_0, c_1001_2, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t + 1111717339566905203471/3573570930682267325*c_1100_1^10 + 3506916368453473645183/3573570930682267325*c_1100_1^9 + 23991348397819861981301/3573570930682267325*c_1100_1^8 + 52976467314444216616219/3573570930682267325*c_1100_1^7 + 573021612909468020027631/3573570930682267325*c_1100_1^6 + 318594264250894563397987/3573570930682267325*c_1100_1^5 - 17076588997573183956506/714714186136453465*c_1100_1^4 - 25076283651408702092433/714714186136453465*c_1100_1^3 + 3324824956552258438887/210210054746015725*c_1100_1^2 + 29765012242929841906198/3573570930682267325*c_1100_1 + 1664275181264651943234/3573570930682267325, c_0011_0 - 1, c_0011_10 - c_1100_1, c_0011_11 - 81159657014/494611893520037*c_1100_1^10 - 391085504405/494611893520037*c_1100_1^9 - 1402961384083/494611893520037*c_1100_1^8 - 982119561116/494611893520037*c_1100_1^7 - 22421487268945/494611893520037*c_1100_1^6 + 13349106614273/494611893520037*c_1100_1^5 + 498070113799818/494611893520037*c_1100_1^4 + 1942936413067280/494611893520037*c_1100_1^3 + 175515870866664/494611893520037*c_1100_1^2 - 221126323146670/494611893520037*c_1100_1 - 188714578510333/494611893520037, c_0011_3 + 31119643210/494611893520037*c_1100_1^10 + 52199538241/494611893520037*c_1100_1^9 + 585641102785/494611893520037*c_1100_1^8 + 625011243570/494611893520037*c_1100_1^7 + 15254188803566/494611893520037*c_1100_1^6 - 13339381591360/494611893520037*c_1100_1^5 + 13196144115772/494611893520037*c_1100_1^4 - 25386017642237/494611893520037*c_1100_1^3 + 45115140137386/494611893520037*c_1100_1^2 - 84537398206512/494611893520037*c_1100_1 + 188797939835618/494611893520037, c_0011_9 - 6455115800851/494611893520037*c_1100_1^10 - 32386266160068/494611893520037*c_1100_1^9 - 173543124580379/494611893520037*c_1100_1^8 - 556616355728714/494611893520037*c_1100_1^7 - 3823150858033524/494611893520037*c_1100_1^6 - 7892869082449083/494611893520037*c_1100_1^5 - 1077402439464151/494611893520037*c_1100_1^4 + 2169885652905898/494611893520037*c_1100_1^3 + 948114598157448/494611893520037*c_1100_1^2 - 545331520877921/494611893520037*c_1100_1 - 117478743809306/494611893520037, c_0101_0 + 51968354052223/494611893520037*c_1100_1^10 + 162583940982864/494611893520037*c_1100_1^9 + 1124441206470117/494611893520037*c_1100_1^8 + 2470306218854957/494611893520037*c_1100_1^7 + 26878521021505755/494611893520037*c_1100_1^6 + 14547337577873128/494611893520037*c_1100_1^5 - 649016877488986/494611893520037*c_1100_1^4 - 3538962197882244/494611893520037*c_1100_1^3 + 2339830772417001/494611893520037*c_1100_1^2 + 687869970407751/494611893520037*c_1100_1 + 148130740730821/494611893520037, c_0101_1 - 31119643210/494611893520037*c_1100_1^10 - 52199538241/494611893520037*c_1100_1^9 - 585641102785/494611893520037*c_1100_1^8 - 625011243570/494611893520037*c_1100_1^7 - 15254188803566/494611893520037*c_1100_1^6 + 13339381591360/494611893520037*c_1100_1^5 - 13196144115772/494611893520037*c_1100_1^4 + 25386017642237/494611893520037*c_1100_1^3 - 45115140137386/494611893520037*c_1100_1^2 + 84537398206512/494611893520037*c_1100_1 - 188797939835618/494611893520037, c_0101_2 + 12979552539529/494611893520037*c_1100_1^10 + 26541472796760/494611893520037*c_1100_1^9 + 235451987625085/494611893520037*c_1100_1^8 + 311066783009289/494611893520037*c_1100_1^7 + 6022882047772418/494611893520037*c_1100_1^6 - 3647533059673206/494611893520037*c_1100_1^5 - 4686044556043587/494611893520037*c_1100_1^4 + 300722914049286/494611893520037*c_1100_1^3 + 2121943775577541/494611893520037*c_1100_1^2 - 252251348648320/494611893520037*c_1100_1 - 247426986572616/494611893520037, c_0101_3 + 1, c_1001_0 - 1, c_1001_2 + 25989648552662/494611893520037*c_1100_1^10 + 58534277317606/494611893520037*c_1100_1^9 + 486854880649074/494611893520037*c_1100_1^8 + 734549424111664/494611893520037*c_1100_1^7 + 12283079028908969/494611893520037*c_1100_1^6 - 4596123898168218/494611893520037*c_1100_1^5 - 8663576276728417/494611893520037*c_1100_1^4 - 29908680793244/494611893520037*c_1100_1^3 + 3792396731753600/494611893520037*c_1100_1^2 - 316170775182247/494611893520037*c_1100_1 - 449018063545573/494611893520037, c_1100_1^11 + 3*c_1100_1^10 + 21*c_1100_1^9 + 44*c_1100_1^8 + 506*c_1100_1^7 + 202*c_1100_1^6 - 170*c_1100_1^5 - 140*c_1100_1^4 + 74*c_1100_1^3 + 33*c_1100_1^2 - 6*c_1100_1 - 5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.110 Total time: 0.320 seconds, Total memory usage: 32.09MB