Magma V2.19-8 Tue Aug 20 2013 16:16:00 on localhost [Seed = 1730608032] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0238 geometric_solution 4.23416739 oriented_manifold CS_known 0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 1 0 1 0 0132 1302 1023 2031 0 0 0 0 0 -1 0 1 0 0 -1 1 0 -1 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 -2 0 0 1 -1 -1 2 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.637931143919 0.028530580489 0 2 0 2 0132 0132 1023 1023 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 0 0 0 0 -1 1 0 0 -1 1 1 -1 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.686305046723 0.078984434423 3 1 4 1 0132 0132 0132 1023 0 0 0 0 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 1 -1 -1 1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.517160287362 0.362392234073 2 5 4 4 0132 0132 3012 2310 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 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 0.285489221980 1.521430380738 3 3 5 2 3201 1230 3201 0132 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 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 0.285489221980 1.521430380738 4 3 6 6 2310 0132 0132 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 0 0 0 0 0 0 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 -0.618325054734 1.852531337420 5 6 6 5 3201 3201 2310 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 1 -1 0 1 0 -1 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 -0.418283446111 0.580579410371 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : negation(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' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : d['c_0011_6'], 'c_1100_5' : d['c_0011_6'], 'c_1100_4' : negation(d['c_0011_0']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_0011_4'], 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_6' : negation(d['c_0101_2']), 'c_0101_5' : d['c_0011_4'], 'c_0101_4' : negation(d['c_0101_2']), '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_0101_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_6'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_0']), 'c_0011_2' : d['c_0011_0'], 'c_1001_5' : negation(d['c_0101_2']), 'c_1001_4' : negation(d['c_0011_4']), 'c_1001_6' : d['c_0101_2'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0011_4']), 'c_1001_2' : d['c_0101_3'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_2'], 'c_0110_2' : d['c_0101_3'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_2'], 'c_0110_6' : d['c_0011_4'], 'c_1010_6' : negation(d['c_0101_2']), 'c_1010_5' : negation(d['c_0011_4']), 'c_1010_4' : d['c_0101_3'], 'c_1010_3' : negation(d['c_0101_2']), 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : d['c_0101_3'], 'c_1010_0' : d['c_0011_0']})} 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_4, c_0011_6, c_0101_0, c_0101_1, c_0101_2, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t + 3505188935393703/3865278375600880*c_0101_3^14 - 101228991473651/966319593900220*c_0101_3^13 - 109511733126217063/3865278375600880*c_0101_3^12 - 66074471142584391/3865278375600880*c_0101_3^11 + 962253619423701999/3865278375600880*c_0101_3^10 + 133968736134962417/386527837560088*c_0101_3^9 - 598446944797819321/966319593900220*c_0101_3^8 - 503949674545903475/386527837560088*c_0101_3^7 + 1691773164349871067/3865278375600880*c_0101_3^6 + 7855912033690016923/3865278375600880*c_0101_3^5 + 674127568468492871/1932639187800440*c_0101_3^4 - 2798880134249578539/1932639187800440*c_0101_3^3 - 1138476433956648331/1932639187800440*c_0101_3^2 + 328143115115498693/773055675120176*c_0101_3 + 449716673983433957/1932639187800440, c_0011_0 - 1, c_0011_4 + 2926997469583/3944161607756*c_0101_3^14 - 3952440609035/1972080803878*c_0101_3^13 - 79560765465447/3944161607756*c_0101_3^12 + 164437962323963/3944161607756*c_0101_3^11 + 625566054219001/3944161607756*c_0101_3^10 - 178478450854604/986040401939*c_0101_3^9 - 551561177005280/986040401939*c_0101_3^8 + 688273666939859/1972080803878*c_0101_3^7 + 4123428119777743/3944161607756*c_0101_3^6 - 1375041196971387/3944161607756*c_0101_3^5 - 1066361253295365/986040401939*c_0101_3^4 + 368008657789089/1972080803878*c_0101_3^3 + 1163361204894159/1972080803878*c_0101_3^2 - 201955143882023/3944161607756*c_0101_3 - 127290795635703/986040401939, c_0011_6 - 4484730377171/3944161607756*c_0101_3^14 + 5940141340783/1972080803878*c_0101_3^13 + 122226995057715/3944161607756*c_0101_3^12 - 244916856832863/3944161607756*c_0101_3^11 - 963748966908365/3944161607756*c_0101_3^10 + 257833131287496/986040401939*c_0101_3^9 + 846012917415882/986040401939*c_0101_3^8 - 957462574163247/1972080803878*c_0101_3^7 - 6281709025658827/3944161607756*c_0101_3^6 + 1834087677402767/3944161607756*c_0101_3^5 + 1614658724573559/986040401939*c_0101_3^4 - 475833321131839/1972080803878*c_0101_3^3 - 1756705246410955/1972080803878*c_0101_3^2 + 268356505527859/3944161607756*c_0101_3 + 191109417326767/986040401939, c_0101_0 + 551429788722/986040401939*c_0101_3^14 - 1430577632253/986040401939*c_0101_3^13 - 15178464864623/986040401939*c_0101_3^12 + 29520765396936/986040401939*c_0101_3^11 + 121822319885059/986040401939*c_0101_3^10 - 125017197058298/986040401939*c_0101_3^9 - 432778424725385/986040401939*c_0101_3^8 + 231610736255226/986040401939*c_0101_3^7 + 808680011160983/986040401939*c_0101_3^6 - 219594200409813/986040401939*c_0101_3^5 - 833385947530021/986040401939*c_0101_3^4 + 113104469122951/986040401939*c_0101_3^3 + 453418671203136/986040401939*c_0101_3^2 - 32768614070255/986040401939*c_0101_3 - 99000040781287/986040401939, c_0101_1 - 864806545837/1972080803878*c_0101_3^14 + 1233707338888/986040401939*c_0101_3^13 + 23128413338129/1972080803878*c_0101_3^12 - 51920523881025/1972080803878*c_0101_3^11 - 177305928379251/1972080803878*c_0101_3^10 + 116474800037403/986040401939*c_0101_3^9 + 312303198745851/986040401939*c_0101_3^8 - 233085070440078/986040401939*c_0101_3^7 - 1173296090831509/1972080803878*c_0101_3^6 + 486491951468501/1972080803878*c_0101_3^5 + 609476589799446/986040401939*c_0101_3^4 - 136449035320235/986040401939*c_0101_3^3 - 333153562236678/986040401939*c_0101_3^2 + 76155943531339/1972080803878*c_0101_3 + 73226199667244/986040401939, c_0101_2 - 920330581773/986040401939*c_0101_3^14 + 2406065877825/986040401939*c_0101_3^13 + 25139805707151/986040401939*c_0101_3^12 - 49401022709854/986040401939*c_0101_3^11 - 198516018813960/986040401939*c_0101_3^10 + 205336170122445/986040401939*c_0101_3^9 + 690942884994736/986040401939*c_0101_3^8 - 375291818798818/986040401939*c_0101_3^7 - 1265965606989891/986040401939*c_0101_3^6 + 353851240030187/986040401939*c_0101_3^5 + 1282030145897413/986040401939*c_0101_3^4 - 182085950700478/986040401939*c_0101_3^3 - 686510519055049/986040401939*c_0101_3^2 + 51211908261733/986040401939*c_0101_3 + 147429207348159/986040401939, c_0101_3^15 - 2*c_0101_3^14 - 29*c_0101_3^13 + 37*c_0101_3^12 + 251*c_0101_3^11 - 92*c_0101_3^10 - 908*c_0101_3^9 - 58*c_0101_3^8 + 1689*c_0101_3^7 + 495*c_0101_3^6 - 1720*c_0101_3^5 - 722*c_0101_3^4 + 930*c_0101_3^3 + 451*c_0101_3^2 - 212*c_0101_3 - 112 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.210 seconds, Total memory usage: 32.09MB