Magma V2.19-8 Tue Aug 20 2013 23:42:33 on localhost [Seed = 1747848461] Type ? for help. Type -D to quit. Loading file "L13n411__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n411 geometric_solution 10.24919497 oriented_manifold CS_known 0.0000000000000000 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 2 1 3 0132 0132 0213 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 -1 1 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 0.701666022175 0.888992160507 0 0 4 4 0132 0213 0213 0132 1 1 1 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 0 0 0 0 1 -1 0 0 0 -5 5 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.339281825414 1.011010831533 4 0 5 3 0213 0132 0132 0213 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.284623737980 0.534228011495 6 7 0 2 0132 0132 0132 0213 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 1 -1 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 0.782824470165 0.541999294596 2 1 1 6 0213 0213 0132 0132 1 1 1 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 0 -1 -1 0 -5 6 0 5 0 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.452952674634 0.693094390076 6 8 9 2 3120 0132 0132 0132 1 1 1 1 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 -6 0 6 0 0 0 0 0 1 5 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.061009335513 0.681192098380 3 10 4 5 0132 0132 0132 3120 1 1 1 1 0 0 0 0 0 0 1 -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 0 1 -1 0 0 -6 6 0 0 0 0 0 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.621538017008 0.737662561777 9 3 9 8 1302 0132 0321 0132 1 0 1 1 0 0 0 0 -1 0 -1 2 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 -1 1 0 0 0 -1 1 -1 1 0 0 6 0 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.379021822946 0.667757386209 10 5 7 10 2103 0132 0132 3120 1 0 1 1 0 0 0 0 2 0 -2 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 1 0 -1 0 0 -5 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.357107927883 1.132641720614 10 7 7 5 3201 2031 0321 0132 1 1 1 0 0 0 0 0 0 0 -1 1 0 1 0 -1 -2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 6 -6 0 -6 0 6 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.357107927883 1.132641720614 8 6 8 9 3120 0132 2103 2310 1 0 1 1 0 0 0 0 0 0 -2 2 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 -1 1 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.379021822946 0.667757386209 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0011_4'], 'c_1001_10' : negation(d['c_0011_5']), 'c_1001_5' : negation(d['c_0011_10']), 'c_1001_4' : d['c_1001_0'], 'c_1001_7' : d['c_1001_7'], 'c_1001_6' : negation(d['c_0101_5']), 'c_1001_1' : d['c_1001_0'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_0101_10']), 'c_1001_8' : d['c_1001_2'], 'c_1010_10' : negation(d['c_0101_5']), 's_0_10' : negation(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' : negation(d['1']), 's_2_3' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : 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' : negation(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' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : d['c_1001_7'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_1001_7'], 'c_1100_4' : negation(d['c_0101_5']), 'c_1100_7' : negation(d['c_0101_10']), 'c_1100_6' : negation(d['c_0101_5']), 'c_1100_1' : negation(d['c_0101_5']), 'c_1100_0' : d['c_1001_0'], 'c_1100_3' : d['c_1001_0'], 'c_1100_2' : d['c_1001_7'], 'c_1100_10' : d['c_0011_9'], 'c_1010_7' : d['c_1001_2'], 'c_1010_6' : negation(d['c_0011_5']), 'c_1010_5' : d['c_1001_2'], 'c_1010_4' : negation(d['c_0101_5']), 'c_1010_3' : d['c_1001_7'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_0'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : negation(d['c_0011_10']), 'c_1010_8' : negation(d['c_0011_10']), 's_3_1' : d['1'], 's_3_0' : negation(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' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : negation(d['1']), 's_1_7' : d['1'], 's_1_6' : negation(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' : d['1'], 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : negation(d['1']), 'c_0011_9' : d['c_0011_9'], 'c_0011_8' : negation(d['c_0011_5']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_10']), '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_10'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_10' : negation(d['c_0011_9']), 'c_0101_7' : negation(d['c_0011_9']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_0']), 'c_0101_3' : d['c_0011_4'], 'c_0101_2' : d['c_0011_4'], 'c_0101_1' : d['c_0011_4'], 'c_0101_0' : negation(d['c_0011_0']), 'c_0101_9' : d['c_0011_9'], 'c_0101_8' : d['c_0101_10'], 's_1_10' : negation(d['1']), 'c_0110_9' : d['c_0101_5'], 'c_0110_8' : negation(d['c_0011_9']), 'c_0110_1' : negation(d['c_0011_0']), 'c_0110_0' : d['c_0011_4'], 'c_0110_3' : d['c_0101_6'], 'c_0110_2' : negation(d['c_0101_6']), 'c_0110_5' : d['c_0011_4'], 'c_0110_4' : d['c_0101_6'], 'c_0110_7' : d['c_0101_10'], 'c_1100_8' : negation(d['c_0101_10'])})} 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_4, c_0011_5, c_0011_9, c_0101_10, c_0101_5, c_0101_6, c_1001_0, c_1001_2, c_1001_7 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 229291375349847217/1400117599924235000*c_1001_7^9 - 278680351823791407/175014699990529375*c_1001_7^8 - 4309282544439811657/560047039969694000*c_1001_7^7 - 65678738191056571791/2800235199848470000*c_1001_7^6 - 26279469141595522091/560047039969694000*c_1001_7^5 - 180917678580244656359/2800235199848470000*c_1001_7^4 - 40476921074891612941/560047039969694000*c_1001_7^3 - 156840973004191422931/2800235199848470000*c_1001_7^2 - 29231610388306134121/2800235199848470000*c_1001_7 + 26223030687123078357/2800235199848470000, c_0011_0 - 1, c_0011_10 + 1494234751/70704082814*c_1001_7^9 + 6273642237/35352041407*c_1001_7^8 + 106717837519/141408165628*c_1001_7^7 + 284718314331/141408165628*c_1001_7^6 + 474873153525/141408165628*c_1001_7^5 + 550401955797/141408165628*c_1001_7^4 + 619131124931/141408165628*c_1001_7^3 + 238313645791/141408165628*c_1001_7^2 + 36626360131/141408165628*c_1001_7 + 95471664253/141408165628, c_0011_4 + 3298184555/141408165628*c_1001_7^9 + 12643211423/70704082814*c_1001_7^8 + 199314595143/282816331256*c_1001_7^7 + 482703957691/282816331256*c_1001_7^6 + 685550453415/282816331256*c_1001_7^5 + 663877587779/282816331256*c_1001_7^4 + 751657742475/282816331256*c_1001_7^3 - 149902650041/282816331256*c_1001_7^2 - 442138666859/282816331256*c_1001_7 + 316952413019/282816331256, c_0011_5 + c_1001_7, c_0011_9 + 1, c_0101_10 - 234985/7844678*c_1001_7^9 - 962364/3922339*c_1001_7^8 - 16088405/15689356*c_1001_7^7 - 41988215/15689356*c_1001_7^6 - 67743639/15689356*c_1001_7^5 - 75719071/15689356*c_1001_7^4 - 84876865/15689356*c_1001_7^3 - 31614151/15689356*c_1001_7^2 + 5564887/15689356*c_1001_7 - 13662251/15689356, c_0101_5 + 455130221/35352041407*c_1001_7^9 + 3594044042/35352041407*c_1001_7^8 + 29139582793/70704082814*c_1001_7^7 + 72859887149/70704082814*c_1001_7^6 + 108405581425/70704082814*c_1001_7^5 + 102448745345/70704082814*c_1001_7^4 + 99589725879/70704082814*c_1001_7^3 - 26492315783/70704082814*c_1001_7^2 - 54305450321/70704082814*c_1001_7 - 8896367167/70704082814, c_0101_6 + 4839894457/141408165628*c_1001_7^9 + 19199343803/70704082814*c_1001_7^8 + 308438944377/282816331256*c_1001_7^7 + 761786594213/282816331256*c_1001_7^6 + 1112040305875/282816331256*c_1001_7^5 + 1052210957823/282816331256*c_1001_7^4 + 1109965294837/282816331256*c_1001_7^3 - 189472622991/282816331256*c_1001_7^2 - 788285410923/282816331256*c_1001_7 + 291454317983/282816331256, c_1001_0 - 573377969/141408165628*c_1001_7^9 - 2211068079/70704082814*c_1001_7^8 - 32389619741/282816331256*c_1001_7^7 - 67772595857/282816331256*c_1001_7^6 - 62673662665/282816331256*c_1001_7^5 + 1638497425/282816331256*c_1001_7^4 - 46631393049/282816331256*c_1001_7^3 + 13505632691/282816331256*c_1001_7^2 + 56445104229/282816331256*c_1001_7 - 229350461031/282816331256, c_1001_2 + 455130221/35352041407*c_1001_7^9 + 3594044042/35352041407*c_1001_7^8 + 29139582793/70704082814*c_1001_7^7 + 72859887149/70704082814*c_1001_7^6 + 108405581425/70704082814*c_1001_7^5 + 102448745345/70704082814*c_1001_7^4 + 99589725879/70704082814*c_1001_7^3 - 26492315783/70704082814*c_1001_7^2 - 54305450321/70704082814*c_1001_7 - 8896367167/70704082814, c_1001_7^10 + 9*c_1001_7^9 + 81/2*c_1001_7^8 + 114*c_1001_7^7 + 204*c_1001_7^6 + 246*c_1001_7^5 + 261*c_1001_7^4 + 154*c_1001_7^3 - 37*c_1001_7^2 - 19*c_1001_7 + 89/2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.240 seconds, Total memory usage: 32.09MB