Magma V2.19-8 Tue Aug 20 2013 23:47:15 on localhost [Seed = 3869281443] Type ? for help. Type -D to quit. Loading file "K9a13__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K9a13 geometric_solution 11.68631221 oriented_manifold CS_known -0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 12 1 2 3 2 0132 0132 0132 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.053186872901 1.275094822698 0 4 2 5 0132 0132 1023 0132 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 1 -1 0 0 0 1 -1 -1 0 0 1 0 6 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.355488473621 0.731760740834 3 0 1 0 1023 0132 1023 1023 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 1 -1 0 0 0 1 -1 0 1 0 -1 -7 1 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.053186872901 1.275094822698 4 2 5 0 0132 1023 0132 0132 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 0 7 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.355488473621 0.731760740834 3 1 6 7 0132 0132 0132 0132 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 -1 1 0 0 0 0 0 0 -6 0 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.510703810937 0.774462219139 6 7 1 3 0132 0132 0132 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 -1 0 1 0 -7 0 0 7 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.510703810937 0.774462219139 5 8 9 4 0132 0132 0132 0132 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 1 -1 1 0 -1 0 0 0 0 0 7 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.583049019971 0.922855006776 9 5 4 8 0132 0132 0132 0132 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 1 -1 0 0 6 0 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.583049019971 0.922855006776 10 6 7 11 0132 0132 0132 0132 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 7 0 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.462883266907 1.105636237707 7 10 11 6 0132 0132 0132 0132 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 1 0 -1 0 0 -1 1 -6 6 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.462883266907 1.105636237707 8 9 11 11 0132 0132 0213 3120 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 -1 0 1 0 0 -1 1 0 0 0 0 0 -6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.375373629116 0.505524223698 10 10 8 9 3120 0213 0132 0132 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 -1 0 0 1 0 1 0 -1 -1 -6 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.375373629116 0.505524223698 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_0'], 'c_1001_11' : d['c_1001_10'], 'c_1001_10' : d['c_1001_10'], 'c_1001_5' : d['c_1001_4'], 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : d['c_0101_2'], 'c_1001_6' : d['c_1001_10'], 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_0101_2'], 'c_1001_2' : d['c_0101_1'], 'c_1001_9' : negation(d['c_0011_11']), 'c_1001_8' : d['c_1001_4'], 'c_1010_11' : negation(d['c_0011_11']), 'c_1010_10' : negation(d['c_0011_11']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0011_11'], 'c_0101_10' : d['c_0011_11'], 's_2_0' : negation(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_2_11' : 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' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_1100_0'], 'c_1100_4' : d['c_1100_11'], 'c_1100_7' : d['c_1100_11'], 'c_1100_6' : d['c_1100_11'], 'c_1100_1' : d['c_1100_0'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : negation(d['c_1100_0']), 's_3_11' : d['1'], 'c_1100_9' : d['c_1100_11'], 'c_1100_11' : d['c_1100_11'], 'c_1100_10' : negation(d['c_0011_11']), 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_4'], 'c_1010_6' : d['c_1001_4'], 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : d['c_0101_2'], 'c_1010_3' : d['c_0101_1'], 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : d['c_1001_4'], 'c_1010_0' : d['c_0101_1'], 'c_1010_9' : d['c_1001_10'], 'c_1010_8' : d['c_1001_10'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(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' : 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_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_10']), 'c_0011_8' : negation(d['c_0011_10']), 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_10'], 'c_0011_6' : d['c_0011_10'], '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' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_8'], 'c_0110_10' : d['c_0101_8'], 'c_0101_7' : d['c_0101_3'], 'c_0101_6' : d['c_0101_3'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_0'], '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_0101_9' : d['c_0101_8'], 'c_0101_8' : d['c_0101_8'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_3'], 'c_0110_8' : d['c_0011_11'], '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_1'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0101_3'], 'c_0110_7' : d['c_0101_8'], 'c_1100_8' : d['c_1100_11']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0101_0, c_0101_1, c_0101_2, c_0101_3, c_0101_8, c_1001_10, c_1001_4, c_1100_0, c_1100_11 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t - 3*c_1100_11^6 + 5/4*c_1100_11^5 - 23/2*c_1100_11^4 - 9/4*c_1100_11^3 - 7/2*c_1100_11^2 - 9*c_1100_11 + 1/4, c_0011_0 - 1, c_0011_10 + c_1100_11, c_0011_11 - 1/4*c_1100_11^6 + 3/4*c_1100_11^5 - 5/4*c_1100_11^4 + 9/4*c_1100_11^3 - 1/2*c_1100_11^2 + 3/4*c_1100_11 + 1/4, c_0101_0 - c_1100_11, c_0101_1 - 1/4*c_1100_11^6 + 3/4*c_1100_11^5 - 5/4*c_1100_11^4 + 9/4*c_1100_11^3 - 1/2*c_1100_11^2 + 3/4*c_1100_11 + 1/4, c_0101_2 + c_1100_11, c_0101_3 - 1/2*c_1100_11^6 + 1/2*c_1100_11^5 - 5/2*c_1100_11^4 + 1/2*c_1100_11^3 - 2*c_1100_11^2 - 3/2*c_1100_11 - 1/2, c_0101_8 + 1, c_1001_10 - 1, c_1001_4 + 1/2*c_1100_11^6 - 1/2*c_1100_11^5 + 5/2*c_1100_11^4 - 1/2*c_1100_11^3 + 2*c_1100_11^2 + 3/2*c_1100_11 + 1/2, c_1100_0 + 1, c_1100_11^7 + 4*c_1100_11^5 + 2*c_1100_11^4 + 3*c_1100_11^3 + 3*c_1100_11^2 + 2*c_1100_11 + 1 ], Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0101_0, c_0101_1, c_0101_2, c_0101_3, c_0101_8, c_1001_10, c_1001_4, c_1100_0, c_1100_11 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 20 Groebner basis: [ t + 456703747521770382/30200681119601165*c_1100_11^19 + 5429738687451970986/151003405598005825*c_1100_11^18 + 2447946525209167202/30200681119601165*c_1100_11^17 + 13823756916206001428/151003405598005825*c_1100_11^16 + 647567100677941431/30200681119601165*c_1100_11^15 - 108285881842603741639/151003405598005825*c_1100_11^14 - 342625367434800977254/151003405598005825*c_1100_11^13 - 671043490087010900288/151003405598005825*c_1100_11^12 - 934224053599675474157/151003405598005825*c_1100_11^11 - 1356703095040127648702/151003405598005825*c_1100_11^10 - 2107357999961858786448/151003405598005825*c_1100_11^9 - 2902640150078798488473/151003405598005825*c_1100_11^8 - 3062880742961663605154/151003405598005825*c_1100_11^7 - 523304101188369532318/30200681119601165*c_1100_11^6 - 1863457679427069921359/151003405598005825*c_1100_11^5 - 1084839163463188953653/151003405598005825*c_1100_11^4 - 418324766751407248908/151003405598005825*c_1100_11^3 - 127149782699015371354/151003405598005825*c_1100_11^2 - 10983025442822674401/30200681119601165*c_1100_11 - 43596703661523807716/151003405598005825, c_0011_0 - 1, c_0011_10 + c_1100_11, c_0011_11 + 1966440930944720/6040136223920233*c_1100_11^19 + 10354885207502770/6040136223920233*c_1100_11^18 + 37018519794974097/6040136223920233*c_1100_11^17 + 103749601677455846/6040136223920233*c_1100_11^16 + 250403191937352202/6040136223920233*c_1100_11^15 + 491895447443945490/6040136223920233*c_1100_11^14 + 801704835991678677/6040136223920233*c_1100_11^13 + 1142427393838581312/6040136223920233*c_1100_11^12 + 1572707944603971534/6040136223920233*c_1100_11^11 + 2112696855203484358/6040136223920233*c_1100_11^10 + 2545955829988732082/6040136223920233*c_1100_11^9 + 2556553213469597803/6040136223920233*c_1100_11^8 + 2129444707459106295/6040136223920233*c_1100_11^7 + 1482228906417874669/6040136223920233*c_1100_11^6 + 848816881979918455/6040136223920233*c_1100_11^5 + 360007987238713691/6040136223920233*c_1100_11^4 + 110851133473164775/6040136223920233*c_1100_11^3 + 38319833035730168/6040136223920233*c_1100_11^2 + 26527818557200786/6040136223920233*c_1100_11 + 6189180177802842/6040136223920233, c_0101_0 + 2287029977639366/6040136223920233*c_1100_11^19 + 9232494119752643/6040136223920233*c_1100_11^18 + 30873907936368397/6040136223920233*c_1100_11^17 + 79805782429151267/6040136223920233*c_1100_11^16 + 184052649931307315/6040136223920233*c_1100_11^15 + 324194006947347649/6040136223920233*c_1100_11^14 + 486539203932741330/6040136223920233*c_1100_11^13 + 658698188005522281/6040136223920233*c_1100_11^12 + 927244248717938752/6040136223920233*c_1100_11^11 + 1207133983893470648/6040136223920233*c_1100_11^10 + 1311245519304424383/6040136223920233*c_1100_11^9 + 1156337692688920618/6040136223920233*c_1100_11^8 + 885216418961376791/6040136223920233*c_1100_11^7 + 562362615504662346/6040136223920233*c_1100_11^6 + 268807650606020985/6040136223920233*c_1100_11^5 + 86365309187706021/6040136223920233*c_1100_11^4 + 28357978365478164/6040136223920233*c_1100_11^3 + 4877023075655424/6040136223920233*c_1100_11^2 + 512738580602901/6040136223920233*c_1100_11 - 1923459890641493/6040136223920233, c_0101_1 - 2176165796363973/6040136223920233*c_1100_11^19 - 15214014570244327/6040136223920233*c_1100_11^18 - 59166689029683258/6040136223920233*c_1100_11^17 - 177883526064367537/6040136223920233*c_1100_11^16 - 448666272932095742/6040136223920233*c_1100_11^15 - 950371425097646703/6040136223920233*c_1100_11^14 - 1655653715560617809/6040136223920233*c_1100_11^13 - 2471906681803562518/6040136223920233*c_1100_11^12 - 3413933404206080412/6040136223920233*c_1100_11^11 - 4640835452276129552/6040136223920233*c_1100_11^10 - 5893426429159986944/6040136223920233*c_1100_11^9 - 6414080045535004578/6040136223920233*c_1100_11^8 - 5750984021358862966/6040136223920233*c_1100_11^7 - 4307955094458450509/6040136223920233*c_1100_11^6 - 2699659193104819557/6040136223920233*c_1100_11^5 - 1342263359824288378/6040136223920233*c_1100_11^4 - 480818358312894983/6040136223920233*c_1100_11^3 - 164779686404064209/6040136223920233*c_1100_11^2 - 87911204417459876/6040136223920233*c_1100_11 - 41216288289317076/6040136223920233, c_0101_2 - 2287029977639366/6040136223920233*c_1100_11^19 - 9232494119752643/6040136223920233*c_1100_11^18 - 30873907936368397/6040136223920233*c_1100_11^17 - 79805782429151267/6040136223920233*c_1100_11^16 - 184052649931307315/6040136223920233*c_1100_11^15 - 324194006947347649/6040136223920233*c_1100_11^14 - 486539203932741330/6040136223920233*c_1100_11^13 - 658698188005522281/6040136223920233*c_1100_11^12 - 927244248717938752/6040136223920233*c_1100_11^11 - 1207133983893470648/6040136223920233*c_1100_11^10 - 1311245519304424383/6040136223920233*c_1100_11^9 - 1156337692688920618/6040136223920233*c_1100_11^8 - 885216418961376791/6040136223920233*c_1100_11^7 - 562362615504662346/6040136223920233*c_1100_11^6 - 268807650606020985/6040136223920233*c_1100_11^5 - 86365309187706021/6040136223920233*c_1100_11^4 - 28357978365478164/6040136223920233*c_1100_11^3 - 4877023075655424/6040136223920233*c_1100_11^2 - 512738580602901/6040136223920233*c_1100_11 + 1923459890641493/6040136223920233, c_0101_3 + 166727893576930/6040136223920233*c_1100_11^19 - 3215596197067988/6040136223920233*c_1100_11^18 - 14961555300259338/6040136223920233*c_1100_11^17 - 52763674237973613/6040136223920233*c_1100_11^16 - 142064882846827132/6040136223920233*c_1100_11^15 - 339699766893731730/6040136223920233*c_1100_11^14 - 629924588493775076/6040136223920233*c_1100_11^13 - 974982553649424663/6040136223920233*c_1100_11^12 - 1333119373821877909/6040136223920233*c_1100_11^11 - 1857229083325187535/6040136223920233*c_1100_11^10 - 2477781184887055843/6040136223920233*c_1100_11^9 - 2827703264231374918/6040136223920233*c_1100_11^8 - 2605746483196575620/6040136223920233*c_1100_11^7 - 2025899294859394281/6040136223920233*c_1100_11^6 - 1328080537269476690/6040136223920233*c_1100_11^5 - 700153721290397128/6040136223920233*c_1100_11^4 - 266238535467278837/6040136223920233*c_1100_11^3 - 102785950890529114/6040136223920233*c_1100_11^2 - 48777165326676501/6040136223920233*c_1100_11 - 23481637540449863/6040136223920233, c_0101_8 - 3599156827880768/6040136223920233*c_1100_11^19 - 20156130325238080/6040136223920233*c_1100_11^18 - 73458435259475976/6040136223920233*c_1100_11^17 - 209597797112109813/6040136223920233*c_1100_11^16 - 511842380513412026/6040136223920233*c_1100_11^15 - 1027212132051248936/6040136223920233*c_1100_11^14 - 1707236953785157216/6040136223920233*c_1100_11^13 - 2470255643531316031/6040136223920233*c_1100_11^12 - 3410787845313485664/6040136223920233*c_1100_11^11 - 4609506576276956675/6040136223920233*c_1100_11^10 - 5653939198415161405/6040136223920233*c_1100_11^9 - 5841828006968013882/6040136223920233*c_1100_11^8 - 5022980113850615290/6040136223920233*c_1100_11^7 - 3649664078699079937/6040136223920233*c_1100_11^6 - 2222942653948941294/6040136223920233*c_1100_11^5 - 1060923838793595658/6040136223920233*c_1100_11^4 - 394479205835689229/6040136223920233*c_1100_11^3 - 154115992883220860/6040136223920233*c_1100_11^2 - 78131795810376199/6040136223920233*c_1100_11 - 24423027300648453/6040136223920233, c_1001_10 + 3599156827880768/6040136223920233*c_1100_11^19 + 20156130325238080/6040136223920233*c_1100_11^18 + 73458435259475976/6040136223920233*c_1100_11^17 + 209597797112109813/6040136223920233*c_1100_11^16 + 511842380513412026/6040136223920233*c_1100_11^15 + 1027212132051248936/6040136223920233*c_1100_11^14 + 1707236953785157216/6040136223920233*c_1100_11^13 + 2470255643531316031/6040136223920233*c_1100_11^12 + 3410787845313485664/6040136223920233*c_1100_11^11 + 4609506576276956675/6040136223920233*c_1100_11^10 + 5653939198415161405/6040136223920233*c_1100_11^9 + 5841828006968013882/6040136223920233*c_1100_11^8 + 5022980113850615290/6040136223920233*c_1100_11^7 + 3649664078699079937/6040136223920233*c_1100_11^6 + 2222942653948941294/6040136223920233*c_1100_11^5 + 1060923838793595658/6040136223920233*c_1100_11^4 + 394479205835689229/6040136223920233*c_1100_11^3 + 154115992883220860/6040136223920233*c_1100_11^2 + 78131795810376199/6040136223920233*c_1100_11 + 24423027300648453/6040136223920233, c_1001_4 - 166727893576930/6040136223920233*c_1100_11^19 + 3215596197067988/6040136223920233*c_1100_11^18 + 14961555300259338/6040136223920233*c_1100_11^17 + 52763674237973613/6040136223920233*c_1100_11^16 + 142064882846827132/6040136223920233*c_1100_11^15 + 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1831*c_1100_11^7 + 1218*c_1100_11^6 + 664*c_1100_11^5 + 288*c_1100_11^4 + 106*c_1100_11^3 + 44*c_1100_11^2 + 19*c_1100_11 + 5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.110 Total time: 0.320 seconds, Total memory usage: 32.09MB