Magma V2.19-8 Tue Aug 20 2013 23:40:23 on localhost [Seed = 4613254] Type ? for help. Type -D to quit. Loading file "L10n51__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L10n51 geometric_solution 10.10265286 oriented_manifold CS_known -0.0000000000000009 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 2 3 4 0132 0132 0132 0132 0 1 1 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 0 0 0 0 -1 1 0 0 0 -1 1 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.676752821085 0.433697761729 0 5 7 6 0132 0132 0132 0132 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 0 0 0 0 0 0 0 0 1 0 -1 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.693931135706 0.735020445448 8 0 3 5 0132 0132 3201 0132 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 -3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.001872194708 1.082066840454 2 6 7 0 2310 0132 3120 0132 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 0 0 0 0 0 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 0 0 0 0.534792011912 0.711229760283 7 6 0 9 0132 0321 0132 0132 0 1 0 1 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 -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 1.696721844436 1.125107175050 10 1 2 8 0132 0132 0132 0132 0 1 1 1 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 1 -1 -1 0 0 1 0 -2 0 2 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.037059912999 1.569832249737 8 3 1 4 3201 0132 0132 0321 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 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 0.308351273235 0.791218125161 4 9 3 1 0132 3120 3120 0132 0 1 1 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 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.234749617387 0.557099082094 2 10 5 6 0132 0132 0132 2310 0 1 1 1 0 0 0 0 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 -1 1 0 0 0 -1 1 3 -3 0 0 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.426685455335 0.651563860923 10 7 4 10 3120 3120 0132 0132 0 1 1 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 -1 0 1 1 0 -1 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 0.637018304461 1.274061122916 5 8 9 9 0132 0132 0132 3120 0 1 1 1 0 0 0 0 0 0 0 0 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 1 0 0 -1 -1 -2 0 3 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.686046944734 0.627918192200 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : d['c_0011_4'], 'c_1001_5' : d['c_1001_0'], 'c_1001_4' : negation(d['c_0101_3']), 'c_1001_7' : negation(d['c_1001_3']), 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : negation(d['c_0011_9']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : negation(d['c_0101_3']), 'c_1001_9' : d['c_1001_3'], 'c_1001_8' : negation(d['c_0011_9']), 'c_1010_10' : negation(d['c_0011_9']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], '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_10' : 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' : negation(d['c_0101_7']), 'c_0011_10' : negation(d['c_0011_0']), 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : negation(d['c_0101_7']), 'c_1100_7' : negation(d['c_0101_3']), 'c_1100_6' : negation(d['c_0101_3']), 'c_1100_1' : negation(d['c_0101_3']), 'c_1100_0' : negation(d['c_0101_7']), 'c_1100_3' : negation(d['c_0101_7']), 'c_1100_2' : negation(d['c_0011_3']), 'c_1100_10' : negation(d['c_0101_7']), 'c_1010_7' : negation(d['c_0011_9']), 'c_1010_6' : d['c_1001_3'], 'c_1010_5' : negation(d['c_0011_9']), 'c_1010_4' : d['c_1001_3'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_0'], 'c_1010_0' : negation(d['c_0101_3']), 'c_1010_9' : d['c_0011_4'], 'c_1010_8' : d['c_0011_4'], 'c_1100_8' : negation(d['c_0011_3']), '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_9'], 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(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_0110_10' : d['c_0101_10'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_10'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0101_0']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_7'], 'c_0101_8' : d['c_0101_10'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_10'], 'c_0110_8' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_10'], 'c_0110_5' : d['c_0101_10'], 'c_0110_4' : d['c_0101_7'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : negation(d['c_0011_4'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_4, c_0011_9, c_0101_0, c_0101_1, c_0101_10, c_0101_3, c_0101_7, c_1001_0, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 20665438736128/855793425825*c_1001_3^9 + 12304596069152/171158685165*c_1001_3^8 + 131371938020672/855793425825*c_1001_3^7 + 53105715298406/285264475275*c_1001_3^6 + 3637700961272/21943421175*c_1001_3^5 + 6450781238402/65830263525*c_1001_3^4 + 66471904417921/855793425825*c_1001_3^3 - 172202738203/34231737033*c_1001_3^2 + 58347384361309/855793425825*c_1001_3 + 1413796423048/95088158425, c_0011_0 - 1, c_0011_3 + 446857232/877736847*c_1001_3^9 + 1801509416/877736847*c_1001_3^8 + 4277583289/877736847*c_1001_3^7 + 2219885216/292578949*c_1001_3^6 + 179212062/22506073*c_1001_3^5 + 428822179/67518219*c_1001_3^4 + 3657004307/877736847*c_1001_3^3 + 1396475413/877736847*c_1001_3^2 + 1241324438/877736847*c_1001_3 + 444148345/292578949, c_0011_4 + 437949504/292578949*c_1001_3^9 + 1342733344/292578949*c_1001_3^8 + 2879414308/292578949*c_1001_3^7 + 3583763432/292578949*c_1001_3^6 + 245498456/22506073*c_1001_3^5 + 145848452/22506073*c_1001_3^4 + 1120045988/292578949*c_1001_3^3 - 388607262/292578949*c_1001_3^2 + 1033628731/292578949*c_1001_3 + 340224476/292578949, c_0011_9 - 462449616/292578949*c_1001_3^9 - 1379992904/292578949*c_1001_3^8 - 3018900421/292578949*c_1001_3^7 - 3765226116/292578949*c_1001_3^6 - 267732611/22506073*c_1001_3^5 - 163562543/22506073*c_1001_3^4 - 1381593105/292578949*c_1001_3^3 + 213435980/292578949*c_1001_3^2 - 1317133108/292578949*c_1001_3 - 248438405/292578949, c_0101_0 - 92201984/877736847*c_1001_3^9 - 206604848/292578949*c_1001_3^8 - 1672216232/877736847*c_1001_3^7 - 3116682737/877736847*c_1001_3^6 - 95089832/22506073*c_1001_3^5 - 257895973/67518219*c_1001_3^4 - 2311974979/877736847*c_1001_3^3 - 929225156/877736847*c_1001_3^2 + 265315670/877736847*c_1001_3 - 69767506/877736847, c_0101_1 - 894598736/877736847*c_1001_3^9 - 936017560/292578949*c_1001_3^8 - 6296797277/877736847*c_1001_3^7 - 8507199872/877736847*c_1001_3^6 - 216968796/22506073*c_1001_3^5 - 451294957/67518219*c_1001_3^4 - 3590561932/877736847*c_1001_3^3 + 283697860/877736847*c_1001_3^2 - 1291586743/877736847*c_1001_3 - 621448159/877736847, c_0101_10 - 429902080/292578949*c_1001_3^9 - 3854738912/877736847*c_1001_3^8 - 8195395232/877736847*c_1001_3^7 - 9930342694/877736847*c_1001_3^6 - 227764072/22506073*c_1001_3^5 - 134792459/22506073*c_1001_3^4 - 4170452275/877736847*c_1001_3^3 + 304294768/877736847*c_1001_3^2 - 4007222275/877736847*c_1001_3 - 1531327229/877736847, c_0101_3 - 1167564064/877736847*c_1001_3^9 - 3563429296/877736847*c_1001_3^8 - 7904546882/877736847*c_1001_3^7 - 3429443970/292578949*c_1001_3^6 - 264070115/22506073*c_1001_3^5 - 552086609/67518219*c_1001_3^4 - 5174510551/877736847*c_1001_3^3 - 35907536/877736847*c_1001_3^2 - 2932210090/877736847*c_1001_3 - 360079448/292578949, c_0101_7 - 1016740912/877736847*c_1001_3^9 - 3099362296/877736847*c_1001_3^8 - 6587645627/877736847*c_1001_3^7 - 2716403552/292578949*c_1001_3^6 - 180662753/22506073*c_1001_3^5 - 303585725/67518219*c_1001_3^4 - 2586503656/877736847*c_1001_3^3 + 623900164/877736847*c_1001_3^2 - 2366598928/877736847*c_1001_3 - 357512348/292578949, c_1001_0 - 1, c_1001_3^10 + 7/2*c_1001_3^9 + 129/16*c_1001_3^8 + 185/16*c_1001_3^7 + 12*c_1001_3^6 + 143/16*c_1001_3^5 + 99/16*c_1001_3^4 + 27/16*c_1001_3^3 + 3*c_1001_3^2 + 37/16*c_1001_3 + 9/16 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.230 seconds, Total memory usage: 32.09MB