Magma V2.19-8 Tue Aug 20 2013 16:18:27 on localhost [Seed = 189437500] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2649 geometric_solution 5.92025255 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1230 3012 0132 3201 0 0 0 0 0 -1 0 1 0 0 -1 1 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 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 0.518197897865 0.269934692092 2 0 3 0 0132 2310 0132 0132 0 0 0 0 0 0 0 0 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 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 0.963913086994 0.520749534185 1 4 4 5 0132 0132 2031 0132 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 0 1 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.927142434156 0.859646767881 5 4 5 1 0321 0213 0213 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 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 0.600587170879 0.558704105647 6 2 3 2 0132 0132 0213 1302 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 1 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.684385172861 0.406620724217 3 3 2 6 0321 0213 0132 1302 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.298678466162 0.415124440260 4 6 5 6 0132 1302 2031 2031 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 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.736449779631 0.487558784933 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : 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' : negation(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' : negation(d['1']), 's_0_2' : negation(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_0011_1'], 'c_1100_5' : d['c_0101_6'], 'c_1100_4' : d['c_0101_0'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_1']), 'c_1100_0' : negation(d['c_0011_1']), 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : d['c_0101_6'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0011_5']), 'c_0101_4' : d['c_0011_3'], 'c_0101_3' : d['c_0011_5'], 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : negation(d['c_0011_5']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_1'], 'c_0011_6' : negation(d['c_0011_1']), 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : d['c_1001_3'], 'c_1001_4' : d['c_1001_3'], 'c_1001_6' : d['c_0011_3'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : negation(d['c_0101_6']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : negation(d['c_0011_5']), 'c_0110_2' : negation(d['c_0011_5']), 'c_0110_5' : negation(d['c_0011_3']), 'c_0110_4' : d['c_0101_6'], 'c_0110_6' : d['c_0011_3'], 'c_1010_6' : negation(d['c_0011_1']), 'c_1010_5' : negation(d['c_0011_1']), 'c_1010_4' : negation(d['c_0101_6']), 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_1001_3'], 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(d['c_0101_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_1, c_0011_3, c_0011_5, c_0101_0, c_0101_6, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 22 Groebner basis: [ t - 8838646640868065693137780/75487846079969493422923*c_1001_3^21 + 313276434181554826036136870/75487846079969493422923*c_1001_3^19 - 315410855083790207895598914/6862531461815408492993*c_1001_3^17 + 1191753676688733136609567969/6862531461815408492993*c_1001_3^15 - 29319078446689915887073121873/75487846079969493422923*c_1001_3^13 + 49324575605429510754060775206/75487846079969493422923*c_1001_3^11 - 61527337682244480585158444755/75487846079969493422923*c_1001_3^9 + 54097145934452248893175909447/75487846079969493422923*c_1001_3^7 - 32098293049648110508758522672/75487846079969493422923*c_1001_3^5 + 11278185893101650639614829739/75487846079969493422923*c_1001_3^3 - 1701448645061704413776043656/75487846079969493422923*c_1001_3, c_0011_0 - 1, c_0011_1 + 392157058911452841056/623866496528673499363*c_1001_3^20 - 13689479315824965191888/623866496528673499363*c_1001_3^18 + 146602924225840582814696/623866496528673499363*c_1001_3^16 - 503102357293672314113736/623866496528673499363*c_1001_3^14 + 1031407601957388930422818/623866496528673499363*c_1001_3^12 - 1636314862556833795923898/623866496528673499363*c_1001_3^10 + 1854392409631064086630207/623866496528673499363*c_1001_3^8 - 1408682501943536292630326/623866496528673499363*c_1001_3^6 + 671790268757826615388576/623866496528673499363*c_1001_3^4 - 142269622867772017710078/623866496528673499363*c_1001_3^2 - 104758880373088314519/623866496528673499363, c_0011_3 + 557967141625480585480/623866496528673499363*c_1001_3^21 - 19448620415064511549992/623866496528673499363*c_1001_3^19 + 207575814610176211418470/623866496528673499363*c_1001_3^17 - 704939172803808189384956/623866496528673499363*c_1001_3^15 + 1429799105176277616299813/623866496528673499363*c_1001_3^13 - 2250047253040233172211089/623866496528673499363*c_1001_3^11 + 2513384573036887402663043/623866496528673499363*c_1001_3^9 - 1861267165107954214324482/623866496528673499363*c_1001_3^7 + 845344931414675385797571/623866496528673499363*c_1001_3^5 - 148893649208847615274842/623866496528673499363*c_1001_3^3 - 11360784996124525082109/623866496528673499363*c_1001_3, c_0011_5 - 352890618047423691068/623866496528673499363*c_1001_3^20 + 12306018865490340554746/623866496528673499363*c_1001_3^18 - 131489091413968427188314/623866496528673499363*c_1001_3^16 + 448311671110137200979327/623866496528673499363*c_1001_3^14 - 915313865759036737391069/623866496528673499363*c_1001_3^12 + 1449087298842852770183343/623866496528673499363*c_1001_3^10 - 1633533016847366071640131/623866496528673499363*c_1001_3^8 + 1234218345894031013121615/623866496528673499363*c_1001_3^6 - 584179188108305618334078/623866496528673499363*c_1001_3^4 + 121364668687879980029309/623866496528673499363*c_1001_3^2 + 96242833814477193006/623866496528673499363, c_0101_0 + 160752208601820330676/623866496528673499363*c_1001_3^21 - 5561075132457977069778/623866496528673499363*c_1001_3^19 + 58342724806536021418892/623866496528673499363*c_1001_3^17 - 187697500110219564000055/623866496528673499363*c_1001_3^15 + 361489381698524581555792/623866496528673499363*c_1001_3^13 - 548059579166192597774058/623866496528673499363*c_1001_3^11 + 567809722775414171219076/623866496528673499363*c_1001_3^9 - 365937826643117057694258/623866496528673499363*c_1001_3^7 + 120027354411659622603172/623866496528673499363*c_1001_3^5 + 12626112596135587312501/623866496528673499363*c_1001_3^3 - 13767620870965550947474/623866496528673499363*c_1001_3, c_0101_6 - 178249743757714660588/623866496528673499363*c_1001_3^20 + 6219449303774207652910/623866496528673499363*c_1001_3^18 - 66535909809046732989940/623866496528673499363*c_1001_3^16 + 227638190437607215471361/623866496528673499363*c_1001_3^14 - 465629486961347857873054/623866496528673499363*c_1001_3^12 + 738077874864881141876718/623866496528673499363*c_1001_3^10 - 834246311491401047692365/623866496528673499363*c_1001_3^8 + 631716609849224209691951/623866496528673499363*c_1001_3^6 - 300214416591775538577216/623866496528673499363*c_1001_3^4 + 62335090069750015861866/623866496528673499363*c_1001_3^2 + 232995424495559475662/623866496528673499363, c_1001_3^22 - 71/2*c_1001_3^20 + 789/2*c_1001_3^18 - 6017/4*c_1001_3^16 + 13561/4*c_1001_3^14 - 22927/4*c_1001_3^12 + 28809/4*c_1001_3^10 - 12793/2*c_1001_3^8 + 15377/4*c_1001_3^6 - 2759/2*c_1001_3^4 + 863/4*c_1001_3^2 - 1/4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB