Magma V2.19-8 Tue Aug 20 2013 23:51:02 on localhost [Seed = 2084181877] Type ? for help. Type -D to quit. Loading file "L13a5002__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L13a5002 geometric_solution 10.73891772 oriented_manifold CS_known 0.0000000000000000 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 0 0 0 1 0 -1 0 1 1 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 0 0 4 1 -5 -4 0 4 0 5 -5 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.748348735494 0.418305222700 0 5 4 2 0132 0132 1230 3012 0 0 1 0 0 1 0 -1 -1 0 0 1 0 1 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -5 0 5 4 0 0 -4 1 -5 0 4 -5 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.055993368309 1.755316199054 3 0 1 5 0321 0132 1230 2310 0 1 1 0 0 1 -1 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 -4 4 0 4 0 -4 0 0 0 0 0 0 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.654074053809 0.462999767175 2 6 7 0 0321 0132 0132 0132 0 0 1 1 0 0 0 0 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 0 1 -1 0 0 4 -4 0 1 0 -1 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.843251805243 0.821870543380 4 4 0 1 1302 2031 0132 3012 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 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 0 0 0 0 0 0.822345236989 0.535333994503 2 1 7 6 3201 0132 1302 1302 0 1 0 1 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 5 -5 0 0 0 0 0 0 0 0 0 0 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.391832267523 0.592747197989 8 3 5 9 0132 0132 2031 0132 0 0 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 4 -4 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.843251805243 0.821870543380 5 10 9 3 2031 0132 0132 0132 0 0 1 1 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 1 0 -1 5 0 -1 -4 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.843251805243 0.821870543380 6 11 10 9 0132 0132 2031 3120 1 0 1 1 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 -1 1 -1 1 0 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.748348735494 0.418305222700 8 10 6 7 3120 0213 0132 0132 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 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 0 0 0 -0.018518750103 0.720979438666 11 7 9 8 0132 0132 0213 1302 0 1 1 1 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 -1 0 1 0 0 0 0 0 0 0 0 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.748348735494 0.418305222700 10 8 11 11 0132 0132 2031 1302 1 1 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 1 -1 0 0 1 -1 5 -4 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.822345236989 0.535333994503 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_9']), 'c_1001_10' : d['c_1001_10'], 'c_1001_5' : negation(d['c_0101_2']), 'c_1001_4' : negation(d['c_0110_4']), 'c_1001_7' : d['c_0101_8'], 'c_1001_6' : negation(d['c_0110_5']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : negation(d['c_0110_5']), 'c_1001_3' : d['c_1001_10'], 'c_1001_2' : negation(d['c_0110_4']), 'c_1001_9' : d['c_1001_10'], 'c_1001_8' : negation(d['c_0101_11']), 'c_1010_11' : negation(d['c_0101_11']), 'c_1010_10' : d['c_0101_8'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0011_9'], '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_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' : d['1'], 's_0_4' : negation(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_1100_9' : negation(d['c_1001_1']), 'c_1100_8' : negation(d['c_0101_8']), 'c_1100_5' : d['c_0101_6'], 'c_1100_4' : negation(d['c_1001_1']), 'c_1100_7' : negation(d['c_1001_1']), 'c_1100_6' : negation(d['c_1001_1']), 'c_1100_1' : d['c_0110_4'], 'c_1100_0' : negation(d['c_1001_1']), 'c_1100_3' : negation(d['c_1001_1']), 'c_1100_2' : d['c_0011_0'], 's_3_11' : d['1'], 'c_1100_11' : d['c_0101_11'], 'c_1100_10' : d['c_0101_8'], 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_10'], 'c_1010_6' : d['c_1001_10'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_0011_4'], 'c_1010_3' : negation(d['c_0110_5']), 'c_1010_2' : negation(d['c_0110_5']), 'c_1010_1' : negation(d['c_0101_2']), 'c_1010_0' : negation(d['c_0110_4']), 'c_1010_9' : d['c_0101_8'], 'c_1010_8' : negation(d['c_0011_9']), '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'], 's_1_7' : 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' : d['1'], 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_9'], 'c_0011_8' : d['c_0011_10'], 'c_0011_5' : d['c_0011_0'], '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_11' : d['c_0011_9'], 'c_0110_10' : d['c_0101_11'], 'c_0110_0' : negation(d['c_0011_4']), 'c_0101_7' : d['c_0101_6'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0011_10'], 'c_0101_4' : negation(d['c_0011_4']), 'c_0101_3' : negation(d['c_0101_2']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_4']), 'c_0101_0' : d['c_0011_0'], 'c_0101_9' : d['c_0101_8'], 'c_0101_8' : d['c_0101_8'], 'c_0011_10' : d['c_0011_10'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_6'], 'c_0110_8' : d['c_0101_6'], 'c_0110_1' : d['c_0011_0'], 'c_0011_11' : negation(d['c_0011_10']), 'c_0110_3' : d['c_0011_0'], 'c_0110_2' : negation(d['c_0011_10']), 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0110_4'], 'c_0110_7' : negation(d['c_0101_2']), 'c_0110_6' : d['c_0101_8']})} 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_4, c_0011_9, c_0101_11, c_0101_2, c_0101_6, c_0101_8, c_0110_4, c_0110_5, c_1001_1, c_1001_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 1689/200*c_1001_10^9 - 181/100*c_1001_10^8 - 2419/100*c_1001_10^7 - 377/100*c_1001_10^6 - 1152/25*c_1001_10^5 + 2839/100*c_1001_10^4 + 73/100*c_1001_10^3 + 3687/100*c_1001_10^2 - 9881/200*c_1001_10 + 877/50, c_0011_0 - 1, c_0011_10 - 7/4*c_1001_10^9 - 5/4*c_1001_10^8 - 6*c_1001_10^7 - 4*c_1001_10^6 - 25/2*c_1001_10^5 - 3/2*c_1001_10^4 - 2*c_1001_10^3 + 6*c_1001_10^2 - 25/4*c_1001_10 + 1/4, c_0011_4 + 1, c_0011_9 - 1/4*c_1001_10^9 - 5/4*c_1001_10^8 - 2*c_1001_10^7 - 4*c_1001_10^6 - 11/2*c_1001_10^5 - 15/2*c_1001_10^4 - 3*c_1001_10^3 + c_1001_10^2 + 9/4*c_1001_10 - 15/4, c_0101_11 - 7/8*c_1001_10^9 - 9/8*c_1001_10^8 - 7/2*c_1001_10^7 - 7/2*c_1001_10^6 - 31/4*c_1001_10^5 - 15/4*c_1001_10^4 - 2*c_1001_10^3 + 7/2*c_1001_10^2 - 13/8*c_1001_10 - 23/8, c_0101_2 + 5/8*c_1001_10^9 - 1/8*c_1001_10^8 + 3/2*c_1001_10^7 - 1/2*c_1001_10^6 + 9/4*c_1001_10^5 - 15/4*c_1001_10^4 - c_1001_10^3 - 5/2*c_1001_10^2 + 31/8*c_1001_10 - 15/8, c_0101_6 - c_1001_10, c_0101_8 - 15/8*c_1001_10^9 - 5/8*c_1001_10^8 - 11/2*c_1001_10^7 - 3/2*c_1001_10^6 - 43/4*c_1001_10^5 + 21/4*c_1001_10^4 + 17/2*c_1001_10^2 - 85/8*c_1001_10 + 29/8, c_0110_4 - 7/8*c_1001_10^9 - 9/8*c_1001_10^8 - 7/2*c_1001_10^7 - 7/2*c_1001_10^6 - 31/4*c_1001_10^5 - 15/4*c_1001_10^4 - 2*c_1001_10^3 + 7/2*c_1001_10^2 - 13/8*c_1001_10 - 7/8, c_0110_5 + 5/8*c_1001_10^9 - 1/8*c_1001_10^8 + 3/2*c_1001_10^7 - 1/2*c_1001_10^6 + 9/4*c_1001_10^5 - 15/4*c_1001_10^4 - c_1001_10^3 - 5/2*c_1001_10^2 + 31/8*c_1001_10 - 15/8, c_1001_1 - 3/2*c_1001_10^9 - c_1001_10^8 - 5*c_1001_10^7 - 3*c_1001_10^6 - 10*c_1001_10^5 - c_1001_10^3 + 6*c_1001_10^2 - 11/2*c_1001_10 + 1, c_1001_10^10 + 3*c_1001_10^8 + 6*c_1001_10^6 - 4*c_1001_10^5 + 2*c_1001_10^4 - 4*c_1001_10^3 + 7*c_1001_10^2 - 4*c_1001_10 + 1 ], Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_4, c_0011_9, c_0101_11, c_0101_2, c_0101_6, c_0101_8, c_0110_4, c_0110_5, c_1001_1, c_1001_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t - 107760773193211309/3268324518290876*c_1001_10^13 + 400464382429888131/1634162259145438*c_1001_10^12 - 20236389361345307/19928808038359*c_1001_10^11 + 4236154676641177507/1634162259145438*c_1001_10^10 - 11932323544736132383/3268324518290876*c_1001_10^9 + 1719118094920258402/817081129572719*c_1001_10^8 + 2857719517058933033/1634162259145438*c_1001_10^7 - 3645062678826282372/817081129572719*c_1001_10^6 + 12355338825318787031/3268324518290876*c_1001_10^5 - 6251828821305922233/1634162259145438*c_1001_10^4 + 2140578943230319143/1634162259145438*c_1001_10^3 - 3468046520009539311/1634162259145438*c_1001_10^2 + 1387361739984141673/3268324518290876*c_1001_10 - 501790756074516741/817081129572719, c_0011_0 - 1, c_0011_10 - 10924668750/164700892879*c_1001_10^13 + 72898437938/164700892879*c_1001_10^12 - 535451117829/329401785758*c_1001_10^11 + 1117566739611/329401785758*c_1001_10^10 - 799850056969/329401785758*c_1001_10^9 - 528221260895/164700892879*c_1001_10^8 + 1261011086606/164700892879*c_1001_10^7 - 632410291976/164700892879*c_1001_10^6 - 604478554669/164700892879*c_1001_10^5 - 21487092067/164700892879*c_1001_10^4 - 278945893777/329401785758*c_1001_10^3 - 703161379951/329401785758*c_1001_10^2 - 6612049963/329401785758*c_1001_10 + 19457469896/164700892879, c_0011_4 + 1, c_0011_9 + 3288039333/164700892879*c_1001_10^13 - 71571038157/329401785758*c_1001_10^12 + 183038597151/164700892879*c_1001_10^11 - 1168478818953/329401785758*c_1001_10^10 + 2295483973421/329401785758*c_1001_10^9 - 2316980776853/329401785758*c_1001_10^8 + 45056242571/164700892879*c_1001_10^7 + 1381810022307/164700892879*c_1001_10^6 - 1681931490967/164700892879*c_1001_10^5 + 2060819463055/329401785758*c_1001_10^4 - 840605536959/164700892879*c_1001_10^3 + 534660945709/329401785758*c_1001_10^2 - 666125625829/329401785758*c_1001_10 + 243087816117/329401785758, c_0101_11 - 15439571179/329401785758*c_1001_10^13 + 63908292758/164700892879*c_1001_10^12 - 561848870839/329401785758*c_1001_10^11 + 1538078345503/329401785758*c_1001_10^10 - 2419791821869/329401785758*c_1001_10^9 + 823777208417/164700892879*c_1001_10^8 + 1011617051153/329401785758*c_1001_10^7 - 3220815982615/329401785758*c_1001_10^6 + 1416828693342/164700892879*c_1001_10^5 - 2057693593751/329401785758*c_1001_10^4 + 752096851734/164700892879*c_1001_10^3 - 354535377340/164700892879*c_1001_10^2 + 313708088911/164700892879*c_1001_10 - 196056155007/329401785758, c_0101_2 - 14793516234/164700892879*c_1001_10^13 + 243883952999/329401785758*c_1001_10^12 - 536348661961/164700892879*c_1001_10^11 + 1464496770655/164700892879*c_1001_10^10 - 2287485620792/164700892879*c_1001_10^9 + 1489050871272/164700892879*c_1001_10^8 + 2380603368835/329401785758*c_1001_10^7 - 6600617961957/329401785758*c_1001_10^6 + 5206210344919/329401785758*c_1001_10^5 - 1489349590679/164700892879*c_1001_10^4 + 1705745615079/329401785758*c_1001_10^3 - 1444604641299/329401785758*c_1001_10^2 + 963620769047/329401785758*c_1001_10 - 341914718977/329401785758, c_0101_6 - c_1001_10, c_0101_8 + 294604172/164700892879*c_1001_10^13 - 7304129164/164700892879*c_1001_10^12 + 92727663533/329401785758*c_1001_10^11 - 342196285779/329401785758*c_1001_10^10 + 382756097397/164700892879*c_1001_10^9 - 413759153416/164700892879*c_1001_10^8 - 62132602787/329401785758*c_1001_10^7 + 1262136065119/329401785758*c_1001_10^6 - 1316303779053/329401785758*c_1001_10^5 + 361874175081/329401785758*c_1001_10^4 - 243082647515/164700892879*c_1001_10^3 + 161838189418/164700892879*c_1001_10^2 - 356623054255/329401785758*c_1001_10 + 101572006477/329401785758, c_0110_4 - 16563335252/164700892879*c_1001_10^13 + 254682286165/329401785758*c_1001_10^12 - 1062310035375/329401785758*c_1001_10^11 + 1354275782405/164700892879*c_1001_10^10 - 1847480731523/164700892879*c_1001_10^9 + 1469926274357/329401785758*c_1001_10^8 + 3229700985881/329401785758*c_1001_10^7 - 5452880890249/329401785758*c_1001_10^6 + 2830981347193/329401785758*c_1001_10^5 - 873709530128/164700892879*c_1001_10^4 + 413184044917/164700892879*c_1001_10^3 - 1177448156757/329401785758*c_1001_10^2 + 488051491597/329401785758*c_1001_10 - 69461934473/164700892879, c_0110_5 - 14793516234/164700892879*c_1001_10^13 + 243883952999/329401785758*c_1001_10^12 - 536348661961/164700892879*c_1001_10^11 + 1464496770655/164700892879*c_1001_10^10 - 2287485620792/164700892879*c_1001_10^9 + 1489050871272/164700892879*c_1001_10^8 + 2380603368835/329401785758*c_1001_10^7 - 6600617961957/329401785758*c_1001_10^6 + 5206210344919/329401785758*c_1001_10^5 - 1489349590679/164700892879*c_1001_10^4 + 1705745615079/329401785758*c_1001_10^3 - 1444604641299/329401785758*c_1001_10^2 + 963620769047/329401785758*c_1001_10 - 341914718977/329401785758, c_1001_1 - 1769819018/164700892879*c_1001_10^13 + 5399166583/164700892879*c_1001_10^12 + 10387288547/329401785758*c_1001_10^11 - 110220988250/164700892879*c_1001_10^10 + 440004889269/164700892879*c_1001_10^9 - 1508175468187/329401785758*c_1001_10^8 + 424548808523/164700892879*c_1001_10^7 + 573868535854/164700892879*c_1001_10^6 - 1187614498863/164700892879*c_1001_10^5 + 615640060551/164700892879*c_1001_10^4 - 879377525245/329401785758*c_1001_10^3 + 133578242271/164700892879*c_1001_10^2 - 237784638725/164700892879*c_1001_10 + 202990850031/329401785758, c_1001_10^14 - 8*c_1001_10^13 + 35*c_1001_10^12 - 96*c_1001_10^11 + 155*c_1001_10^10 - 126*c_1001_10^9 - 17*c_1001_10^8 + 164*c_1001_10^7 - 189*c_1001_10^6 + 180*c_1001_10^5 - 107*c_1001_10^4 + 88*c_1001_10^3 - 51*c_1001_10^2 + 26*c_1001_10 - 11 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.270 Total time: 0.490 seconds, Total memory usage: 32.09MB