Magma V2.19-8 Tue Aug 20 2013 23:50:39 on localhost [Seed = 1360476790] Type ? for help. Type -D to quit. Loading file "L12n640__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n640 geometric_solution 10.78611946 oriented_manifold CS_known -0.0000000000000004 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 1 2 0132 0132 2310 2310 1 0 0 1 0 0 0 0 -1 0 1 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 2 0 -2 0 -3 0 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.032032838259 0.909348175055 0 0 4 3 0132 3201 0132 0132 1 0 1 0 0 0 0 0 1 0 0 -1 0 0 0 0 -1 -1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -2 0 0 2 0 0 0 0 3 2 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.038689796702 1.098325903541 0 0 3 4 3201 0132 3201 3201 1 0 1 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 -1 0 1 -3 0 3 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 -0.038689796702 1.098325903541 2 5 1 6 2310 0132 0132 0132 1 0 0 1 0 0 0 0 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 0 0 0 0 0 -2 2 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.163060169664 1.152812505315 7 2 8 1 0132 2310 0132 0132 1 0 0 1 0 0 0 0 0 0 0 0 2 0 0 -2 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 -5 0 0 5 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.163060169664 1.152812505315 7 3 9 8 1023 0132 0132 0321 1 1 1 0 0 0 1 -1 1 0 -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 0 -3 3 -2 0 3 -1 0 0 0 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.018752604123 1.293133058149 10 11 3 8 0132 0132 0132 0132 1 0 1 0 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 0 0 0 0 0 0 0 0 2 0 -2 2 0 -2 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 0.586238661565 0.886026673924 4 5 10 11 0132 1023 0132 0213 1 0 1 0 0 -1 0 1 0 0 0 0 0 0 0 0 -2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 -2 0 0 0 0 -1 0 0 1 5 -3 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.249258982058 0.322687598917 11 5 6 4 0213 0321 0132 0132 1 0 1 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 -3 2 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 0.426236216921 0.466375252598 10 10 11 5 1023 0213 0321 0132 1 1 0 1 0 1 0 -1 -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 -3 0 3 3 0 0 -3 2 -2 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.623835397312 0.555990088657 6 9 9 7 0132 1023 0213 0132 1 0 0 1 0 1 -1 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 -3 3 0 -2 0 2 0 0 -2 0 2 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.834762342286 1.233820474808 8 6 9 7 0213 0132 0321 0213 1 1 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 -2 0 2 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 0.680395109800 0.329834981705 ==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' : negation(d['c_0011_8']), 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : negation(d['c_1001_0']), 'c_1001_7' : d['c_0101_5'], 'c_1001_6' : d['c_1001_5'], 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_1001_0']), 'c_1001_2' : negation(d['c_0101_0']), 'c_1001_9' : negation(d['c_0011_8']), 'c_1001_8' : d['c_1001_11'], 'c_1010_11' : d['c_1001_5'], 'c_1010_10' : d['c_0101_5'], '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_0011_8'], 'c_0101_10' : d['c_0011_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_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' : 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' : d['c_1001_11'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_1001_11'], 'c_1100_4' : d['c_1100_1'], 'c_1100_7' : d['c_1001_5'], 'c_1100_6' : d['c_1100_1'], 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_1100_1'], 'c_1100_2' : negation(d['c_0011_3']), 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0011_8']), 'c_1100_10' : d['c_1001_5'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_8']), 'c_1010_6' : d['c_1001_11'], 'c_1010_5' : negation(d['c_1001_0']), 'c_1010_4' : negation(d['c_0101_0']), 'c_1010_3' : d['c_1001_5'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_1001_0']), 'c_1010_0' : negation(d['c_0101_0']), 'c_1010_9' : d['c_1001_5'], 'c_1010_8' : negation(d['c_1001_0']), 'c_1100_8' : d['c_1100_1'], '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' : 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_10'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_3'], 'c_0011_7' : negation(d['c_0011_3']), '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_0101_4']), 'c_0110_10' : d['c_0101_1'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_1'], 'c_0101_6' : d['c_0101_1'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : negation(d['c_0101_1']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_8']), 'c_0101_8' : d['c_0011_10'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_5'], 'c_0110_8' : d['c_0101_4'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_10'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : negation(d['c_0011_8']), 'c_0110_4' : d['c_0101_1'], 'c_0110_7' : d['c_0101_4'], 'c_0110_6' : d['c_0011_10']})} 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_3, c_0011_8, c_0101_0, c_0101_1, c_0101_4, c_0101_5, c_1001_0, c_1001_11, c_1001_5, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t + 156821993647481/3989998656*c_1100_1^14 + 195396520333093/886666368*c_1100_1^13 + 5562193923555107/7979997312*c_1100_1^12 + 48708329097609031/31919989248*c_1100_1^11 + 165145276922736515/63839978496*c_1100_1^10 + 454382677496455775/127679956992*c_1100_1^9 + 513969804238870055/127679956992*c_1100_1^8 + 326065744678191911/85119971328*c_1100_1^7 + 1025941465168588595/340479885312*c_1100_1^6 + 4057595986549503389/2042879311872*c_1100_1^5 + 2130747494546214085/2042879311872*c_1100_1^4 + 447639656846415637/1021439655936*c_1100_1^3 + 434366812017529/3474284544*c_1100_1^2 + 2265419241739469/97279967232*c_1100_1 - 2408961955312291/2042879311872, c_0011_0 - 1, c_0011_10 - 35086691/3015872*c_1100_1^14 - 300745287/6031744*c_1100_1^13 - 722183821/6031744*c_1100_1^12 - 4530323005/24126976*c_1100_1^11 - 10399138409/48253952*c_1100_1^10 - 17000275309/96507904*c_1100_1^9 - 5941949185/96507904*c_1100_1^8 + 9014083433/193015808*c_1100_1^7 + 98644430573/772063232*c_1100_1^6 + 197457217577/1544126464*c_1100_1^5 + 145353753661/1544126464*c_1100_1^4 + 35239112105/772063232*c_1100_1^3 + 6094998957/386031616*c_1100_1^2 + 3957147805/1544126464*c_1100_1 + 280378645/1544126464, c_0011_3 + c_1100_1, c_0011_8 + 10164395/753968*c_1100_1^14 + 110671031/1507936*c_1100_1^13 + 327280033/1507936*c_1100_1^12 + 2648555477/6031744*c_1100_1^11 + 8228145977/12063488*c_1100_1^10 + 20745844717/24126976*c_1100_1^9 + 21231299005/24126976*c_1100_1^8 + 36148231967/48253952*c_1100_1^7 + 100586862507/193015808*c_1100_1^6 + 114018423783/386031616*c_1100_1^5 + 50945228999/386031616*c_1100_1^4 + 8499280815/193015808*c_1100_1^3 + 952753213/96507904*c_1100_1^2 + 461298371/386031616*c_1100_1 - 27264273/386031616, c_0101_0 - 362811/753968*c_1100_1^14 - 8131383/1507936*c_1100_1^13 - 47180921/1507936*c_1100_1^12 - 592484741/6031744*c_1100_1^11 - 2522116153/12063488*c_1100_1^10 - 7957039501/24126976*c_1100_1^9 - 10001322629/24126976*c_1100_1^8 - 20473991215/48253952*c_1100_1^7 - 66263977243/193015808*c_1100_1^6 - 87777321511/386031616*c_1100_1^5 - 43247592703/386031616*c_1100_1^4 - 7955669887/193015808*c_1100_1^3 - 799132233/96507904*c_1100_1^2 + 134336349/386031616*c_1100_1 + 158077721/386031616, c_0101_1 - 1, c_0101_4 - 15984669/1507936*c_1100_1^14 - 149777305/3015872*c_1100_1^13 - 401947267/3015872*c_1100_1^12 - 2973808707/12063488*c_1100_1^11 - 8623232439/24126976*c_1100_1^10 - 20414558707/48253952*c_1100_1^9 - 19307389679/48253952*c_1100_1^8 - 31080337577/96507904*c_1100_1^7 - 77879483693/386031616*c_1100_1^6 - 82965093513/772063232*c_1100_1^5 - 30688752333/772063232*c_1100_1^4 - 4129254297/386031616*c_1100_1^3 + 26451619/193015808*c_1100_1^2 + 886151075/772063232*c_1100_1 + 491093947/772063232, c_0101_5 + 63985799/3015872*c_1100_1^14 + 599721819/6031744*c_1100_1^13 + 1610003849/6031744*c_1100_1^12 + 11917806745/24126976*c_1100_1^11 + 34583547285/48253952*c_1100_1^10 + 81962036809/96507904*c_1100_1^9 + 77668886445/96507904*c_1100_1^8 + 125452160939/193015808*c_1100_1^7 + 316814607095/772063232*c_1100_1^6 + 343444197035/1544126464*c_1100_1^5 + 134842671431/1544126464*c_1100_1^4 + 22661715019/772063232*c_1100_1^3 + 2208168439/386031616*c_1100_1^2 + 2631948679/1544126464*c_1100_1 - 420579185/1544126464, c_1001_0 - 1/2*c_1100_1 - 1/2, c_1001_11 - 13613943/1507936*c_1100_1^14 - 147133571/3015872*c_1100_1^13 - 426572125/3015872*c_1100_1^12 - 3364984521/12063488*c_1100_1^11 - 10122117805/24126976*c_1100_1^10 - 24547575505/48253952*c_1100_1^9 - 23733970361/48253952*c_1100_1^8 - 37098647931/96507904*c_1100_1^7 - 90158387607/386031616*c_1100_1^6 - 78863574963/772063232*c_1100_1^5 - 19332151835/772063232*c_1100_1^4 + 1626838581/386031616*c_1100_1^3 + 1175214571/193015808*c_1100_1^2 + 1583319649/772063232*c_1100_1 - 61435683/772063232, c_1001_5 + 15984669/1507936*c_1100_1^14 + 149777305/3015872*c_1100_1^13 + 401947267/3015872*c_1100_1^12 + 2973808707/12063488*c_1100_1^11 + 8623232439/24126976*c_1100_1^10 + 20414558707/48253952*c_1100_1^9 + 19307389679/48253952*c_1100_1^8 + 31080337577/96507904*c_1100_1^7 + 77879483693/386031616*c_1100_1^6 + 82965093513/772063232*c_1100_1^5 + 30688752333/772063232*c_1100_1^4 + 4129254297/386031616*c_1100_1^3 - 26451619/193015808*c_1100_1^2 - 886151075/772063232*c_1100_1 - 491093947/772063232, c_1100_1^15 + 11/2*c_1100_1^14 + 17*c_1100_1^13 + 291/8*c_1100_1^12 + 965/16*c_1100_1^11 + 2601/32*c_1100_1^10 + 719/8*c_1100_1^9 + 5351/64*c_1100_1^8 + 16413/256*c_1100_1^7 + 21019/512*c_1100_1^6 + 2673/128*c_1100_1^5 + 4281/512*c_1100_1^4 + 581/256*c_1100_1^3 + 189/512*c_1100_1^2 - 1/64*c_1100_1 + 7/512 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.060 Total time: 0.270 seconds, Total memory usage: 32.09MB