Magma V2.19-8 Tue Aug 20 2013 16:19:09 on localhost [Seed = 1713896221] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3275 geometric_solution 6.39839311 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 4 0132 0132 0132 0132 0 0 0 0 0 0 0 0 -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 1 0 -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 0.094385312412 0.612554529266 0 5 6 2 0132 0132 0132 2103 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 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 -0.245710852599 1.594647427690 6 0 6 1 2031 0132 2310 2103 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 -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 0.537849281004 0.820064877835 3 3 5 0 1230 3012 1023 0132 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 0.341981483069 1.095764779844 5 4 0 4 3201 2310 0132 3201 0 0 0 0 0 -1 0 1 0 0 -1 1 0 -1 0 1 0 -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 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 0.697095441933 1.334891550225 6 1 3 4 0213 0132 1023 2310 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 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 0.094385312412 0.612554529266 5 2 2 1 0213 3201 1302 0132 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 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 0.548430617208 0.406864092834 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : 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' : negation(d['1']), 's_1_2' : negation(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' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : d['c_0101_2'], 'c_1100_5' : d['c_0011_4'], 'c_1100_4' : negation(d['c_0011_4']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0101_2'], 'c_1100_0' : negation(d['c_0011_4']), 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_6' : d['c_0011_0'], 'c_0101_5' : negation(d['c_0011_3']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_3'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_3']), '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_1001_5' : d['c_0101_3'], 'c_1001_4' : d['c_0110_4'], 'c_1001_6' : negation(d['c_0101_2']), 'c_1001_1' : negation(d['c_0110_4']), 'c_1001_0' : negation(d['c_0101_3']), 'c_1001_3' : negation(d['c_0011_3']), 'c_1001_2' : d['c_0110_4'], 'c_0110_1' : d['c_0011_3'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_3'], 'c_0110_2' : negation(d['c_0101_2']), 'c_0110_5' : negation(d['c_0101_1']), 'c_0110_4' : d['c_0110_4'], 'c_0110_6' : d['c_0101_1'], 'c_1010_6' : negation(d['c_0110_4']), 'c_1010_5' : negation(d['c_0110_4']), 'c_1010_4' : negation(d['c_0110_4']), 'c_1010_3' : negation(d['c_0101_3']), 'c_1010_2' : negation(d['c_0101_3']), 'c_1010_1' : d['c_0101_3'], 'c_1010_0' : d['c_0110_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_3, c_0011_4, c_0101_1, c_0101_2, c_0101_3, c_0110_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t - 2843628099897344/14004135119*c_0110_4^13 + 1156766702410752/14004135119*c_0110_4^12 - 1322914476947968/14004135119*c_0110_4^11 + 229899178041600/14004135119*c_0110_4^10 + 239305571734400/14004135119*c_0110_4^9 + 1914158612131904/14004135119*c_0110_4^8 + 1619760290131104/14004135119*c_0110_4^7 + 291191979102784/14004135119*c_0110_4^6 - 366353624418504/14004135119*c_0110_4^5 - 509008445372892/14004135119*c_0110_4^4 - 194109708802510/14004135119*c_0110_4^3 - 34591078140968/14004135119*c_0110_4^2 + 816589095587/2154482326*c_0110_4 + 3595586092759/28008270238, c_0011_0 - 1, c_0011_3 + 2850541568/4978363*c_0110_4^13 - 378501120/382951*c_0110_4^12 + 5568834560/4978363*c_0110_4^11 - 369579520/382951*c_0110_4^10 + 3153675776/4978363*c_0110_4^9 - 3765271552/4978363*c_0110_4^8 + 2038559168/4978363*c_0110_4^7 - 657796736/4978363*c_0110_4^6 + 59572656/382951*c_0110_4^5 - 270002960/4978363*c_0110_4^4 + 7342220/4978363*c_0110_4^3 - 43300038/4978363*c_0110_4^2 + 17566233/4978363*c_0110_4 + 2434388/4978363, c_0011_4 - 10705459200/4978363*c_0110_4^13 + 321520640/382951*c_0110_4^12 - 5106165248/4978363*c_0110_4^11 + 87996160/382951*c_0110_4^10 + 579441024/4978363*c_0110_4^9 + 7452259648/4978363*c_0110_4^8 + 6138769696/4978363*c_0110_4^7 + 1336892864/4978363*c_0110_4^6 - 110263864/382951*c_0110_4^5 - 1989693260/4978363*c_0110_4^4 - 766210442/4978363*c_0110_4^3 - 146913874/4978363*c_0110_4^2 + 54257113/9956726*c_0110_4 + 13778607/9956726, c_0101_1 + 19321079808/4978363*c_0110_4^13 - 869209088/382951*c_0110_4^12 + 12231949824/4978363*c_0110_4^11 - 376481024/382951*c_0110_4^10 + 361086080/4978363*c_0110_4^9 - 13756580672/4978363*c_0110_4^8 - 8307149920/4978363*c_0110_4^7 - 1465935392/4978363*c_0110_4^6 + 197939368/382951*c_0110_4^5 + 3009483172/4978363*c_0110_4^4 + 1006125538/4978363*c_0110_4^3 + 168444690/4978363*c_0110_4^2 - 103157907/9956726*c_0110_4 - 21888461/9956726, c_0101_2 + 3714971648/4978363*c_0110_4^13 + 206314496/382951*c_0110_4^12 - 2364996096/4978363*c_0110_4^11 + 314957568/382951*c_0110_4^10 - 3299695232/4978363*c_0110_4^9 - 969996864/4978363*c_0110_4^8 - 5940012960/4978363*c_0110_4^7 - 522909056/4978363*c_0110_4^6 + 2771912/382951*c_0110_4^5 + 1464333692/4978363*c_0110_4^4 + 540423766/4978363*c_0110_4^3 + 169519546/4978363*c_0110_4^2 - 33384633/9956726*c_0110_4 - 10994875/9956726, c_0101_3 - 7752161280/4978363*c_0110_4^13 + 148202496/382951*c_0110_4^12 - 2979184128/4978363*c_0110_4^11 - 13073664/382951*c_0110_4^10 + 1038922112/4978363*c_0110_4^9 + 5098207424/4978363*c_0110_4^8 + 5366058080/4978363*c_0110_4^7 + 1362026944/4978363*c_0110_4^6 - 62643752/382951*c_0110_4^5 - 1579939924/4978363*c_0110_4^4 - 744563758/4978363*c_0110_4^3 - 178189320/4978363*c_0110_4^2 + 3754191/9956726*c_0110_4 + 17996877/9956726, c_0110_4^14 - 1/2*c_0110_4^13 + 3/4*c_0110_4^12 - 3/8*c_0110_4^11 + 3/16*c_0110_4^10 - 27/32*c_0110_4^9 - 27/64*c_0110_4^8 - 17/64*c_0110_4^7 + 33/256*c_0110_4^6 + 77/512*c_0110_4^5 + 97/1024*c_0110_4^4 + 25/1024*c_0110_4^3 + 9/4096*c_0110_4^2 - 1/1024*c_0110_4 - 1/4096 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB