Magma V2.19-8 Tue Aug 20 2013 16:17:31 on localhost [Seed = 105355997] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1752 geometric_solution 5.44376443 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1230 3012 0132 3201 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 -1 0 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 0.241226155261 0.310057730330 2 0 3 0 0132 2310 0132 0132 0 0 0 0 0 0 0 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 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 1.195677650405 1.699053005519 1 3 4 5 0132 3201 0132 0132 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 1 0 -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 -0.121149098861 0.758325213999 5 4 2 1 3201 3201 2310 0132 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 1 0 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.121149098861 0.758325213999 4 4 3 2 1230 3012 2310 0132 0 0 0 0 0 0 0 0 -1 0 1 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.089263832018 0.845668634046 6 6 2 3 0132 2310 0132 2310 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 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 0.418947549298 1.949549631676 5 6 6 5 0132 3201 2310 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.550841413840 0.445043899807 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { '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_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_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' : negation(d['1']), 's_0_6' : 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' : d['1'], 'c_1100_6' : negation(d['c_0011_5']), 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : d['c_0011_3'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_1']), 'c_1100_0' : negation(d['c_0011_1']), 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : d['c_0011_3'], 'c_0101_6' : negation(d['c_0101_3']), 'c_0101_5' : d['c_0101_1'], 'c_0101_4' : d['c_0101_3'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_4'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_4'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_5']), 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : d['c_0101_3'], 'c_1001_4' : negation(d['c_0011_4']), 'c_1001_6' : d['c_0101_3'], 'c_1001_1' : d['c_0011_4'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0101_3']), 'c_1001_2' : negation(d['c_0101_3']), 'c_0110_1' : d['c_0011_4'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : negation(d['c_0101_3']), 'c_0110_4' : d['c_0011_4'], 'c_0110_6' : d['c_0101_1'], 'c_1010_6' : negation(d['c_0101_3']), 'c_1010_5' : negation(d['c_0101_1']), 'c_1010_4' : negation(d['c_0101_3']), 'c_1010_3' : d['c_0011_4'], 'c_1010_2' : d['c_0101_3'], 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(d['c_0011_4'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_3, c_0011_4, c_0011_5, c_0101_1, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t + 114168267742902673207/4061350122760110804*c_0101_3^12 - 818516733276864254261/4061350122760110804*c_0101_3^11 + 862662070210667828645/1015337530690027701*c_0101_3^10 - 1892657144973902879413/2030675061380055402*c_0101_3^9 + 27706432129653681207829/4061350122760110804*c_0101_3^8 - 42410685565981311857581/4061350122760110804*c_0101_3^7 + 15123185008456940906239/4061350122760110804*c_0101_3^6 - 46129211327648233384/1015337530690027701*c_0101_3^5 - 690118166914504044641/4061350122760110804*c_0101_3^4 + 511132824087207031395/1353783374253370268*c_0101_3^3 - 35181825882535899588/338445843563342567*c_0101_3^2 + 489434482716718087541/2030675061380055402*c_0101_3 - 156996422876271618243/1353783374253370268, c_0011_0 - 1, c_0011_1 + 4858736497949/20645753892719*c_0101_3^12 - 31716669761866/20645753892719*c_0101_3^11 + 126769352574796/20645753892719*c_0101_3^10 - 81869384985942/20645753892719*c_0101_3^9 + 1136243183827225/20645753892719*c_0101_3^8 - 1091639177149970/20645753892719*c_0101_3^7 + 19041769355117/20645753892719*c_0101_3^6 - 144780660801451/20645753892719*c_0101_3^5 + 27645746150799/20645753892719*c_0101_3^4 + 25943322547770/20645753892719*c_0101_3^3 + 19106385600264/20645753892719*c_0101_3^2 + 47347922445830/20645753892719*c_0101_3 - 5365853912163/20645753892719, c_0011_3 + 5966545066515/41291507785438*c_0101_3^12 - 43052923346789/41291507785438*c_0101_3^11 + 90696125140288/20645753892719*c_0101_3^10 - 100538301161512/20645753892719*c_0101_3^9 + 1438505973580875/41291507785438*c_0101_3^8 - 2288759993426045/41291507785438*c_0101_3^7 + 679533862240897/41291507785438*c_0101_3^6 - 26697231584094/20645753892719*c_0101_3^5 + 31488516240589/41291507785438*c_0101_3^4 + 152027306267767/41291507785438*c_0101_3^3 - 20585052405010/20645753892719*c_0101_3^2 + 37665854049542/20645753892719*c_0101_3 + 12704612638695/41291507785438, c_0011_4 + 4356935795691/20645753892719*c_0101_3^12 - 59883885822543/41291507785438*c_0101_3^11 + 122982064611633/20645753892719*c_0101_3^10 - 109348379907868/20645753892719*c_0101_3^9 + 1030765100940734/20645753892719*c_0101_3^8 - 2636713935455875/41291507785438*c_0101_3^7 + 227642465704258/20645753892719*c_0101_3^6 - 39705128933665/41291507785438*c_0101_3^5 - 107069815781165/41291507785438*c_0101_3^4 + 68833860124489/20645753892719*c_0101_3^3 - 20490315310987/41291507785438*c_0101_3^2 + 99982807846921/41291507785438*c_0101_3 + 11810696685491/41291507785438, c_0011_5 - 9537826991275/41291507785438*c_0101_3^12 + 62969631762143/41291507785438*c_0101_3^11 - 126444976952217/20645753892719*c_0101_3^10 + 88032422695176/20645753892719*c_0101_3^9 - 2231873487073821/41291507785438*c_0101_3^8 + 2318606562523175/41291507785438*c_0101_3^7 - 75906288459125/41291507785438*c_0101_3^6 + 159363155748309/20645753892719*c_0101_3^5 - 280210823687299/41291507785438*c_0101_3^4 - 30638627196545/41291507785438*c_0101_3^3 + 6806097707936/20645753892719*c_0101_3^2 - 36143178010558/20645753892719*c_0101_3 - 717724642947/41291507785438, c_0101_1 + 3352111925853/20645753892719*c_0101_3^12 - 22886829391224/20645753892719*c_0101_3^11 + 94619716792816/20645753892719*c_0101_3^10 - 86933939525966/20645753892719*c_0101_3^9 + 818277994938598/20645753892719*c_0101_3^8 - 1004934009649306/20645753892719*c_0101_3^7 + 378055826271480/20645753892719*c_0101_3^6 - 310905588851497/20645753892719*c_0101_3^5 + 56182949926814/20645753892719*c_0101_3^4 + 21310326307542/20645753892719*c_0101_3^3 + 11558767404781/20645753892719*c_0101_3^2 + 44665229761162/20645753892719*c_0101_3 + 1332441603539/20645753892719, c_0101_3^13 - 7*c_0101_3^12 + 29*c_0101_3^11 - 28*c_0101_3^10 + 237*c_0101_3^9 - 331*c_0101_3^8 + 68*c_0101_3^7 + 16*c_0101_3^6 + 2*c_0101_3^5 + 8*c_0101_3^4 + 2*c_0101_3^3 + 7*c_0101_3^2 - 2*c_0101_3 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB