Magma V2.19-8 Tue Aug 20 2013 16:19:19 on localhost [Seed = 3448524995] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3433 geometric_solution 6.60250154 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 2 1 3 0132 0132 1023 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.688743727411 0.568661181456 0 4 0 3 0132 0132 1023 3201 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 0 0 0.688743727411 0.568661181456 5 0 6 3 0132 0132 0132 1230 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.454136942452 0.728420035583 2 1 0 4 3012 2310 0132 2103 0 0 0 0 0 1 -1 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 -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 0.957052841689 0.891719030926 5 1 6 3 2310 0132 2310 2103 0 0 0 0 0 0 0 0 -1 0 0 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 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 0.454136942452 0.728420035583 2 5 4 5 0132 2310 3201 3201 0 0 0 0 0 0 -1 1 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 -1 1 0 0 0 -1 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 0.172574275937 1.292849232180 6 4 6 2 2310 3201 3201 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 -0.173101773666 1.399496102331 ==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' : 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' : 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' : negation(d['c_0011_6']), 'c_1100_5' : negation(d['c_0011_0']), 'c_1100_4' : d['c_0011_6'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_3']), 'c_1100_0' : d['c_0011_3'], 'c_1100_3' : d['c_0011_3'], 'c_1100_2' : negation(d['c_0011_6']), 'c_0101_6' : negation(d['c_0101_2']), 'c_0101_5' : d['c_0011_3'], 'c_0101_4' : negation(d['c_0101_2']), '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' : d['c_0011_0'], 'c_0011_4' : d['c_0011_0'], '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' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : d['c_0101_2'], 'c_1001_4' : negation(d['c_1001_2']), 'c_1001_6' : d['c_0101_2'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0011_6']), 'c_0110_2' : d['c_0011_3'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : negation(d['c_0011_3']), 'c_0110_6' : d['c_0101_2'], 'c_1010_6' : d['c_1001_2'], 'c_1010_5' : negation(d['c_0101_2']), 'c_1010_4' : d['c_0101_0'], 'c_1010_3' : negation(d['c_0101_0']), 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : negation(d['c_1001_2']), 'c_1010_0' : d['c_1001_2']})} 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_6, c_0101_0, c_0101_1, c_0101_2, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 17 Groebner basis: [ t + 6914045589784354025887428/300563702243845409059559*c_1001_2^16 - 11982727106538160690387194/300563702243845409059559*c_1001_2^15 + 5646426092926458603438736/27323972931258673550869*c_1001_2^14 - 45874883559124537446850972/300563702243845409059559*c_1001_2^13 + 171425122762496959697781900/300563702243845409059559*c_1001_2^12 + 4773893831688486651166289/300563702243845409059559*c_1001_2^11 + 18929529139764178182494416/27323972931258673550869*c_1001_2^10 + 196976151083861292171264758/300563702243845409059559*c_1001_2^9 + 7886734079525338692005442/27323972931258673550869*c_1001_2^8 + 261594374886313860997158248/300563702243845409059559*c_1001_2^7 - 76189120038580503398108277/300563702243845409059559*c_1001_2^6 + 116802074744618298846536773/300563702243845409059559*c_1001_2^5 - 91569868051539028921484444/300563702243845409059559*c_1001_2^4 + 92633658585639699951756085/300563702243845409059559*c_1001_2^3 - 1963872655222294170596312/300563702243845409059559*c_1001_2^2 + 8282546103412174412420751/27323972931258673550869*c_1001_2 + 14041575287368756714878077/300563702243845409059559, c_0011_0 - 1, c_0011_3 - 1643203295959214123274/27323972931258673550869*c_1001_2^16 - 119481891918314640078/27323972931258673550869*c_1001_2^15 - 6316734724055441818793/27323972931258673550869*c_1001_2^14 - 16626673884753821403340/27323972931258673550869*c_1001_2^13 - 4193336628860049337162/27323972931258673550869*c_1001_2^12 - 50484163124667928351071/27323972931258673550869*c_1001_2^11 - 28030329894771025425061/27323972931258673550869*c_1001_2^10 - 31953683589083780018810/27323972931258673550869*c_1001_2^9 - 49613239775168105999961/27323972931258673550869*c_1001_2^8 + 34429044018229743279999/27323972931258673550869*c_1001_2^7 + 5496545383963033318894/27323972931258673550869*c_1001_2^6 + 35787735671082319058644/27323972931258673550869*c_1001_2^5 + 22199471053083947047017/27323972931258673550869*c_1001_2^4 - 30615280092747077760886/27323972931258673550869*c_1001_2^3 - 1518155656240665192167/27323972931258673550869*c_1001_2^2 - 1767231989628888005141/27323972931258673550869*c_1001_2 + 25122242532528125988431/27323972931258673550869, c_0011_6 + 6456281293560234268811/27323972931258673550869*c_1001_2^16 - 15124031014184383941571/27323972931258673550869*c_1001_2^15 + 60627742415019652701723/27323972931258673550869*c_1001_2^14 - 69368985749078393443896/27323972931258673550869*c_1001_2^13 + 149562171800072714007373/27323972931258673550869*c_1001_2^12 - 59109983699997304419348/27323972931258673550869*c_1001_2^11 + 109309805894255172537605/27323972931258673550869*c_1001_2^10 + 71241633591747191333352/27323972931258673550869*c_1001_2^9 - 85961829007600098256393/27323972931258673550869*c_1001_2^8 + 113624611748266128965866/27323972931258673550869*c_1001_2^7 - 183666176699628712437658/27323972931258673550869*c_1001_2^6 + 67617619464650681854648/27323972931258673550869*c_1001_2^5 - 82940408406743000019444/27323972931258673550869*c_1001_2^4 + 88649677673445490212435/27323972931258673550869*c_1001_2^3 - 36427509519642330667393/27323972931258673550869*c_1001_2^2 + 38825100140209821435945/27323972931258673550869*c_1001_2 - 34437535643938655412650/27323972931258673550869, c_0101_0 - 1604474049528600299945/27323972931258673550869*c_1001_2^16 + 8100240280944226310653/27323972931258673550869*c_1001_2^15 - 28340770638097454325212/27323972931258673550869*c_1001_2^14 + 63301025248522849723009/27323972931258673550869*c_1001_2^13 - 106445198905571421817270/27323972931258673550869*c_1001_2^12 + 127268213459449600924283/27323972931258673550869*c_1001_2^11 - 105810457973088793529846/27323972931258673550869*c_1001_2^10 + 35664244989557065890725/27323972931258673550869*c_1001_2^9 + 50162358939381143354350/27323972931258673550869*c_1001_2^8 - 138010038794967590191768/27323972931258673550869*c_1001_2^7 + 149769777694013822392397/27323972931258673550869*c_1001_2^6 - 151964133515127713301941/27323972931258673550869*c_1001_2^5 + 113874984705761189104982/27323972931258673550869*c_1001_2^4 - 69387408878793357094094/27323972931258673550869*c_1001_2^3 + 79853212486331595751089/27323972931258673550869*c_1001_2^2 - 50834007948411071464067/27323972931258673550869*c_1001_2 + 19390532193659687306852/27323972931258673550869, c_0101_1 + 1604474049528600299945/27323972931258673550869*c_1001_2^16 - 8100240280944226310653/27323972931258673550869*c_1001_2^15 + 28340770638097454325212/27323972931258673550869*c_1001_2^14 - 63301025248522849723009/27323972931258673550869*c_1001_2^13 + 106445198905571421817270/27323972931258673550869*c_1001_2^12 - 127268213459449600924283/27323972931258673550869*c_1001_2^11 + 105810457973088793529846/27323972931258673550869*c_1001_2^10 - 35664244989557065890725/27323972931258673550869*c_1001_2^9 - 50162358939381143354350/27323972931258673550869*c_1001_2^8 + 138010038794967590191768/27323972931258673550869*c_1001_2^7 - 149769777694013822392397/27323972931258673550869*c_1001_2^6 + 151964133515127713301941/27323972931258673550869*c_1001_2^5 - 113874984705761189104982/27323972931258673550869*c_1001_2^4 + 69387408878793357094094/27323972931258673550869*c_1001_2^3 - 79853212486331595751089/27323972931258673550869*c_1001_2^2 + 50834007948411071464067/27323972931258673550869*c_1001_2 - 19390532193659687306852/27323972931258673550869, c_0101_2 + 5542600200144545774201/27323972931258673550869*c_1001_2^16 - 14088465342179129324798/27323972931258673550869*c_1001_2^15 + 56082353425171509792716/27323972931258673550869*c_1001_2^14 - 72924910021600488027322/27323972931258673550869*c_1001_2^13 + 153745878078139757874432/27323972931258673550869*c_1001_2^12 - 91767189342020124336986/27323972931258673550869*c_1001_2^11 + 143964513486062821178933/27323972931258673550869*c_1001_2^10 + 19077343080745272341365/27323972931258673550869*c_1001_2^9 - 43413669741673097719582/27323972931258673550869*c_1001_2^8 + 120879299537358078985517/27323972931258673550869*c_1001_2^7 - 201271445733375331383186/27323972931258673550869*c_1001_2^6 + 132782099294377383171119/27323972931258673550869*c_1001_2^5 - 153294986902410321716730/27323972931258673550869*c_1001_2^4 + 138568051990341051767732/27323972931258673550869*c_1001_2^3 - 68328175669799131238628/27323972931258673550869*c_1001_2^2 + 68764593901906983046482/27323972931258673550869*c_1001_2 - 31398585607654507671095/27323972931258673550869, c_1001_2^17 - 18/7*c_1001_2^16 + 73/7*c_1001_2^15 - 99/7*c_1001_2^14 + 212/7*c_1001_2^13 - 20*c_1001_2^12 + 206/7*c_1001_2^11 + 23/7*c_1001_2^10 - 79/7*c_1001_2^9 + 191/7*c_1001_2^8 - 298/7*c_1001_2^7 + 183/7*c_1001_2^6 - 191/7*c_1001_2^5 + 171/7*c_1001_2^4 - 80/7*c_1001_2^3 + 94/7*c_1001_2^2 - 9*c_1001_2 - 11/7 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB