Magma V2.19-8 Tue Aug 20 2013 16:14:23 on localhost [Seed = 3002281616] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s371 geometric_solution 4.59082706 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 6 1 2 2 3 0132 0132 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 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 1.007285402500 0.398835600991 0 3 4 3 0132 0321 0132 2031 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 0 0 0 0 0 0 0 0 1 -1 0 0 -1 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 0.685141538301 0.717417800314 2 0 0 2 3201 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 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 1.174685262023 0.251830262425 4 1 0 1 1023 1302 0132 0321 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 -1 1 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 0.685141538301 0.717417800314 5 3 5 1 0132 1023 2310 0132 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 0 1 -1 -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 0.563955687498 0.943971899654 4 4 5 5 0132 3201 2031 1302 0 0 0 0 0 0 -1 1 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 0 -1 1 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 0.494702305255 0.146210739263 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : negation(d['1']), 's_3_0' : d['1'], 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : 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' : negation(d['1']), 's_1_0' : 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' : d['1'], 's_0_1' : d['1'], 'c_1100_5' : d['c_0101_1'], 'c_1100_4' : negation(d['c_0011_3']), 'c_1100_1' : negation(d['c_0011_3']), 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_5' : d['c_0101_1'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : 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' : negation(d['c_0101_4']), 'c_1001_4' : d['c_0101_1'], 'c_1001_1' : d['c_0011_0'], 'c_1001_0' : d['c_0101_2'], 'c_1001_3' : d['c_0101_0'], 'c_1001_2' : d['c_0101_0'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_0'], 'c_0110_2' : negation(d['c_0101_2']), 'c_0110_5' : d['c_0101_4'], 'c_0110_4' : d['c_0101_1'], 'c_1010_5' : negation(d['c_0101_1']), 'c_1010_4' : d['c_0011_0'], 'c_1010_3' : d['c_0011_3'], 'c_1010_2' : d['c_0101_2'], 'c_1010_1' : d['c_0011_3'], 'c_1010_0' : d['c_0101_0']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0101_0, c_0101_1, c_0101_2, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 20 Groebner basis: [ t - 1450464619608/96527005*c_0101_4^19 - 1872736435360/19305401*c_0101_4^18 - 19556845669006/96527005*c_0101_4^17 + 3416785194417/96527005*c_0101_4^16 + 109867438709447/96527005*c_0101_4^15 + 282474795738364/96527005*c_0101_4^14 + 378273751315278/96527005*c_0101_4^13 + 55002479247570/19305401*c_0101_4^12 + 126606803571033/96527005*c_0101_4^11 + 316493431753947/96527005*c_0101_4^10 + 538280737506216/96527005*c_0101_4^9 + 295093806671766/96527005*c_0101_4^8 + 38443233543652/96527005*c_0101_4^7 - 14979975654862/19305401*c_0101_4^6 - 228993927430583/96527005*c_0101_4^5 - 205867488446303/96527005*c_0101_4^4 - 7071814168934/19305401*c_0101_4^3 + 36965067954056/96527005*c_0101_4^2 + 18999367498689/96527005*c_0101_4 + 2636135826429/96527005, c_0011_0 - 1, c_0011_3 + 384711387606/19305401*c_0101_4^19 + 2503541850418/19305401*c_0101_4^18 + 5307484879137/19305401*c_0101_4^17 - 688892673173/19305401*c_0101_4^16 - 29281718279189/19305401*c_0101_4^15 - 76374423450864/19305401*c_0101_4^14 - 103593661235000/19305401*c_0101_4^13 - 76740801793196/19305401*c_0101_4^12 - 35723338154572/19305401*c_0101_4^11 - 84760005642246/19305401*c_0101_4^10 - 146778171280321/19305401*c_0101_4^9 - 83951696081958/19305401*c_0101_4^8 - 11798560869585/19305401*c_0101_4^7 + 20031816723816/19305401*c_0101_4^6 + 61693518540934/19305401*c_0101_4^5 + 57343821980202/19305401*c_0101_4^4 + 11026860569199/19305401*c_0101_4^3 - 10033056483094/19305401*c_0101_4^2 - 5448918651182/19305401*c_0101_4 - 782632727844/19305401, c_0101_0 - 880487372330/19305401*c_0101_4^19 - 5720250089166/19305401*c_0101_4^18 - 12088998069983/19305401*c_0101_4^17 + 1683355001707/19305401*c_0101_4^16 + 66952462398443/19305401*c_0101_4^15 + 174095393555216/19305401*c_0101_4^14 + 235499375158472/19305401*c_0101_4^13 + 173758668308820/19305401*c_0101_4^12 + 80679889942196/19305401*c_0101_4^11 + 193581250452346/19305401*c_0101_4^10 + 333998593041023/19305401*c_0101_4^9 + 189330618291386/19305401*c_0101_4^8 + 26157710814911/19305401*c_0101_4^7 - 45758673236064/19305401*c_0101_4^6 - 140738205827222/19305401*c_0101_4^5 - 129905633101128/19305401*c_0101_4^4 - 24398685403608/19305401*c_0101_4^3 + 22862091969841/19305401*c_0101_4^2 + 12263863987922/19305401*c_0101_4 + 1747764792028/19305401, c_0101_1 + 374753407428/19305401*c_0101_4^19 + 2437958307392/19305401*c_0101_4^18 + 5165458329049/19305401*c_0101_4^17 - 679241680706/19305401*c_0101_4^16 - 28517829257723/19305401*c_0101_4^15 - 74341438919437/19305401*c_0101_4^14 - 100788479623041/19305401*c_0101_4^13 - 74613030535051/19305401*c_0101_4^12 - 34721407161871/19305401*c_0101_4^11 - 82536222674927/19305401*c_0101_4^10 - 142823355611412/19305401*c_0101_4^9 - 81567655090434/19305401*c_0101_4^8 - 11439925754673/19305401*c_0101_4^7 + 19508306447115/19305401*c_0101_4^6 + 60058626888275/19305401*c_0101_4^5 + 55755524399275/19305401*c_0101_4^4 + 10683024124994/19305401*c_0101_4^3 - 9763545182308/19305401*c_0101_4^2 - 5293085632428/19305401*c_0101_4 - 759464795034/19305401, c_0101_2 + 972312761907/19305401*c_0101_4^19 + 6303263313597/19305401*c_0101_4^18 + 13268670718715/19305401*c_0101_4^17 - 2003413294435/19305401*c_0101_4^16 - 73834993204324/19305401*c_0101_4^15 - 191272589424297/19305401*c_0101_4^14 - 257881901196674/19305401*c_0101_4^13 - 189371260707075/19305401*c_0101_4^12 - 87705202458364/19305401*c_0101_4^11 - 213239976945894/19305401*c_0101_4^10 - 366123988921589/19305401*c_0101_4^9 - 205322290536560/19305401*c_0101_4^8 - 27894756398531/19305401*c_0101_4^7 + 50424701779452/19305401*c_0101_4^6 + 154765990126903/19305401*c_0101_4^5 + 141620670646941/19305401*c_0101_4^4 + 25882665866700/19305401*c_0101_4^3 - 25078141479179/19305401*c_0101_4^2 - 13276919859354/19305401*c_0101_4 - 1877670232355/19305401, c_0101_4^20 + 7*c_0101_4^19 + 17*c_0101_4^18 + 5*c_0101_4^17 - 77*c_0101_4^16 - 236*c_0101_4^15 - 367*c_0101_4^14 - 332*c_0101_4^13 - 191*c_0101_4^12 - 266*c_0101_4^11 - 490*c_0101_4^10 - 406*c_0101_4^9 - 138*c_0101_4^8 + 37*c_0101_4^7 + 186*c_0101_4^6 + 228*c_0101_4^5 + 102*c_0101_4^4 - 12*c_0101_4^3 - 27*c_0101_4^2 - 9*c_0101_4 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB