Magma V2.19-8 Wed Aug 21 2013 00:57:02 on localhost [Seed = 1208898212] Type ? for help. Type -D to quit. Loading file "L13n3514__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n3514 geometric_solution 12.19029040 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 1 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 0 0 0 0 0 -7 6 1 -1 0 2 -1 1 -1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.019571846869 0.992600995066 0 5 5 6 0132 0132 1302 0132 1 0 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 0 0 0 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 0.338957390932 1.003894792188 4 0 8 7 0213 0132 0132 0132 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 0 0 0 0 0 0 0 0 7 0 -7 0 0 0 0 1 -1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.757557931594 0.633338757560 9 9 7 0 0132 2310 0132 0132 1 0 0 1 0 -1 0 1 0 0 -1 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 6 0 -6 1 0 1 -2 0 -1 0 1 -6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.253686566705 0.677053797935 2 5 0 10 0213 1230 0132 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 -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 0.386174126864 0.764348365900 1 1 4 8 2031 0132 3012 2031 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 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.698086455034 0.894181521308 11 8 1 10 0132 2031 0132 0321 1 0 1 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 1 0 -1 0 0 1 -1 -6 0 0 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.126097373380 0.710422093717 12 12 2 3 0132 3201 0132 0132 1 0 1 0 0 1 -1 0 -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 0 0 0 0 -7 7 0 1 0 0 -1 7 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.019571846869 0.992600995066 6 5 10 2 1302 1302 0132 0132 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 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 0.847524070168 0.885307156974 3 11 11 3 0132 3201 0132 3201 1 0 1 0 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 6 0 -6 -1 0 0 1 6 0 0 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.485284237792 1.295155437445 12 6 4 8 3201 0321 0132 0132 1 0 1 0 0 0 0 0 0 0 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 1 -1 0 0 0 0 0 7 -6 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.399095188000 0.524556270166 6 12 9 9 0132 3120 2310 0132 1 0 0 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 6 0 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.253686566705 0.677053797935 7 11 7 10 0132 3120 2310 2310 1 0 0 1 0 0 -1 1 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 7 -7 -1 0 0 1 0 0 0 0 -7 0 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.496453890626 0.490225745995 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_11'], 'c_1001_10' : d['c_0101_5'], 'c_1001_12' : negation(d['c_1001_11']), 'c_1001_5' : negation(d['c_0011_4']), 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : negation(d['c_0101_12']), 'c_1001_6' : negation(d['c_0011_4']), 'c_1001_1' : d['c_0011_8'], 'c_1001_0' : negation(d['c_0101_12']), 'c_1001_3' : d['c_1001_11'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0011_10'], 'c_1001_8' : d['c_0011_8'], 'c_1010_12' : negation(d['c_0011_11']), 'c_1010_11' : d['c_0011_10'], 'c_1010_10' : d['c_0011_8'], 's_0_10' : d['1'], 's_0_11' : d['1'], 's_0_12' : negation(d['1']), 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0011_10']), 'c_0101_10' : d['c_0101_10'], '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' : d['1'], 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_12' : 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' : d['1'], 's_0_2' : 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_0011_10' : d['c_0011_10'], 'c_0011_12' : negation(d['c_0011_10']), 'c_1100_5' : negation(d['c_1001_2']), 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_1100_0'], 'c_1100_6' : d['c_0101_5'], 'c_1100_1' : d['c_0101_5'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_1100_0'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0011_3']), 'c_1100_10' : d['c_1100_0'], 's_3_10' : d['1'], 'c_1010_7' : d['c_1001_11'], 'c_1010_6' : d['c_0011_8'], 'c_1010_5' : d['c_0011_8'], 'c_1010_4' : d['c_0101_5'], 'c_1010_3' : negation(d['c_0101_12']), 'c_1010_2' : negation(d['c_0101_12']), 'c_1010_1' : negation(d['c_0011_4']), 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : negation(d['c_1001_11']), 'c_1010_8' : d['c_1001_2'], 'c_1100_8' : d['c_1100_0'], 's_3_1' : 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'], 'c_1100_12' : d['c_0011_10'], 's_1_7' : negation(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' : d['1'], 's_1_1' : d['1'], 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_3']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_10'], 'c_0011_6' : negation(d['c_0011_11']), '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_0'], 'c_0110_10' : d['c_0011_11'], 'c_0110_12' : negation(d['c_0101_10']), 'c_0101_12' : d['c_0101_12'], 'c_0110_0' : negation(d['c_0011_0']), 'c_0101_7' : negation(d['c_0101_10']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_0']), 'c_0101_3' : d['c_0101_12'], 'c_0101_2' : d['c_0011_4'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0101_8' : d['c_0011_11'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_12'], 'c_0110_8' : d['c_0011_4'], '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_10']), 'c_0110_5' : d['c_0011_8'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_12'], 'c_0110_6' : 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_3, c_0011_4, c_0011_8, c_0101_0, c_0101_10, c_0101_12, c_0101_5, c_1001_11, c_1001_2, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 9249995674131/259586224436*c_1100_0^11 + 34381866811477/129793112218*c_1100_0^10 - 6244527208911/5899686919*c_1100_0^9 + 12528380093533/5899686919*c_1100_0^8 - 1138625856516933/259586224436*c_1100_0^7 + 1487058299793991/259586224436*c_1100_0^6 - 66455969414002/9270936587*c_1100_0^5 + 19863802036505/3371249668*c_1100_0^4 - 904542131874393/259586224436*c_1100_0^3 + 390926639162289/259586224436*c_1100_0^2 - 94113839452999/259586224436*c_1100_0 + 13912562656131/259586224436, c_0011_0 - 1, c_0011_10 + 7064128/8940151*c_1100_0^11 - 56352051/8940151*c_1100_0^10 + 21734514/812741*c_1100_0^9 - 49083240/812741*c_1100_0^8 + 1116437996/8940151*c_1100_0^7 - 1637682407/8940151*c_1100_0^6 + 2098137544/8940151*c_1100_0^5 - 181731070/812741*c_1100_0^4 + 1395043384/8940151*c_1100_0^3 - 699934193/8940151*c_1100_0^2 + 230482587/8940151*c_1100_0 - 38854483/8940151, c_0011_11 + c_1100_0, c_0011_3 - 7086828/8940151*c_1100_0^11 + 61264671/8940151*c_1100_0^10 - 24912399/812741*c_1100_0^9 + 61275083/812741*c_1100_0^8 - 1367172658/8940151*c_1100_0^7 + 2147075649/8940151*c_1100_0^6 - 2715719441/8940151*c_1100_0^5 + 248837254/812741*c_1100_0^4 - 1925809241/8940151*c_1100_0^3 + 935245967/8940151*c_1100_0^2 - 311732862/8940151*c_1100_0 + 50404184/8940151, c_0011_4 + 160973/8940151*c_1100_0^11 - 1100698/8940151*c_1100_0^10 + 365656/812741*c_1100_0^9 - 614396/812741*c_1100_0^8 + 15323545/8940151*c_1100_0^7 - 21100856/8940151*c_1100_0^6 + 28362966/8940151*c_1100_0^5 - 2900952/812741*c_1100_0^4 + 27670991/8940151*c_1100_0^3 - 21949998/8940151*c_1100_0^2 + 17658541/8940151*c_1100_0 + 1876023/8940151, c_0011_8 - 1876023/8940151*c_1100_0^11 + 15169157/8940151*c_1100_0^10 - 5898680/812741*c_1100_0^9 + 13497817/812741*c_1100_0^8 - 305046013/8940151*c_1100_0^7 + 454312927/8940151*c_1100_0^6 - 583907756/8940151*c_1100_0^5 + 51525597/812741*c_1100_0^4 - 410867118/8940151*c_1100_0^3 + 220901360/8940151*c_1100_0^2 - 91362849/8940151*c_1100_0 + 23726574/8940151, c_0101_0 - 1, c_0101_10 + 160973/8940151*c_1100_0^11 - 1100698/8940151*c_1100_0^10 + 365656/812741*c_1100_0^9 - 614396/812741*c_1100_0^8 + 15323545/8940151*c_1100_0^7 - 21100856/8940151*c_1100_0^6 + 28362966/8940151*c_1100_0^5 - 2900952/812741*c_1100_0^4 + 27670991/8940151*c_1100_0^3 - 30890149/8940151*c_1100_0^2 + 17658541/8940151*c_1100_0 + 1876023/8940151, c_0101_12 - 7064128/8940151*c_1100_0^11 + 56352051/8940151*c_1100_0^10 - 21734514/812741*c_1100_0^9 + 49083240/812741*c_1100_0^8 - 1116437996/8940151*c_1100_0^7 + 1637682407/8940151*c_1100_0^6 - 2098137544/8940151*c_1100_0^5 + 181731070/812741*c_1100_0^4 - 1395043384/8940151*c_1100_0^3 + 699934193/8940151*c_1100_0^2 - 230482587/8940151*c_1100_0 + 38854483/8940151, c_0101_5 - 2036996/8940151*c_1100_0^11 + 16269855/8940151*c_1100_0^10 - 6264336/812741*c_1100_0^9 + 14112213/812741*c_1100_0^8 - 320369558/8940151*c_1100_0^7 + 475413783/8940151*c_1100_0^6 - 612270722/8940151*c_1100_0^5 + 54426549/812741*c_1100_0^4 - 438538109/8940151*c_1100_0^3 + 242851358/8940151*c_1100_0^2 - 109021390/8940151*c_1100_0 + 21850551/8940151, c_1001_11 - 21895925/8940151*c_1100_0^11 + 166289957/8940151*c_1100_0^10 - 61312371/812741*c_1100_0^9 + 126637684/812741*c_1100_0^8 - 2838348878/8940151*c_1100_0^7 + 3814724403/8940151*c_1100_0^6 - 4698927066/8940151*c_1100_0^5 + 359304781/812741*c_1100_0^4 - 2295089198/8940151*c_1100_0^3 + 897260094/8940151*c_1100_0^2 - 201089291/8940151*c_1100_0 + 3731385/8940151, c_1001_2 - 7064128/8940151*c_1100_0^11 + 56352051/8940151*c_1100_0^10 - 21734514/812741*c_1100_0^9 + 49083240/812741*c_1100_0^8 - 1116437996/8940151*c_1100_0^7 + 1637682407/8940151*c_1100_0^6 - 2098137544/8940151*c_1100_0^5 + 181731070/812741*c_1100_0^4 - 1395043384/8940151*c_1100_0^3 + 699934193/8940151*c_1100_0^2 - 239422738/8940151*c_1100_0 + 38854483/8940151, c_1100_0^12 - 8*c_1100_0^11 + 34*c_1100_0^10 - 77*c_1100_0^9 + 159*c_1100_0^8 - 234*c_1100_0^7 + 300*c_1100_0^6 - 287*c_1100_0^5 + 202*c_1100_0^4 - 103*c_1100_0^3 + 37*c_1100_0^2 - 8*c_1100_0 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.140 Total time: 0.340 seconds, Total memory usage: 32.09MB