Magma V2.19-8 Tue Aug 20 2013 16:16:15 on localhost [Seed = 812756173] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0523 geometric_solution 4.53630709 oriented_manifold CS_known 0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 7 0 1 0 2 2031 0132 1302 0132 0 0 0 0 0 -2 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 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 -0.416759550318 0.454958870006 2 0 4 3 3201 0132 0132 0132 0 0 0 0 0 2 -1 -1 1 0 -1 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 0 1 -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 0.657166868926 0.977956320808 3 4 0 1 1023 1230 0132 2310 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 -1 1 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 3.094787811742 1.195133801605 4 2 1 5 0321 1023 0132 0132 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 -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 0.895927487261 0.410465183233 3 5 2 1 0321 3120 3012 0132 0 0 0 0 0 -1 0 1 0 0 -1 1 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 0 0 0 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 0.861035983986 0.849939247845 6 4 3 6 0132 3120 0132 1023 0 0 0 0 0 -1 1 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 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 1.153555911236 0.420173188928 5 6 6 5 0132 1230 3012 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.547284020722 0.254685428846 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : negation(d['1']), 's_2_0' : negation(d['1']), 's_2_1' : negation(d['1']), 's_2_2' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : negation(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' : negation(d['1']), 's_1_1' : negation(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' : negation(d['1']), 's_0_1' : d['1'], 'c_1100_6' : negation(d['c_0011_5']), 'c_1100_5' : d['c_0011_5'], 'c_1100_4' : d['c_0011_5'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_5'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_0011_5'], 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0011_4']), 'c_0101_4' : negation(d['c_0101_3']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_2']), 'c_0101_0' : negation(d['c_0011_0']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_5']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_2'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : d['c_0011_2'], 'c_1001_4' : negation(d['c_0011_2']), 'c_1001_6' : d['c_0011_5'], 'c_1001_1' : negation(d['c_0011_5']), 'c_1001_0' : d['c_0101_2'], 'c_1001_3' : d['c_0101_2'], 'c_1001_2' : negation(d['c_0011_5']), 'c_0110_1' : d['c_0101_3'], 'c_0110_0' : d['c_0101_2'], 'c_0110_3' : negation(d['c_0011_4']), 'c_0110_2' : d['c_0011_2'], 'c_0110_5' : d['c_0101_6'], 'c_0110_4' : negation(d['c_0011_2']), 'c_0110_6' : negation(d['c_0011_4']), 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : negation(d['c_0011_4']), 'c_1010_4' : negation(d['c_0011_5']), 'c_1010_3' : d['c_0011_2'], 'c_1010_2' : negation(d['c_0101_3']), 'c_1010_1' : d['c_0101_2'], 'c_1010_0' : negation(d['c_0011_5'])})} 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_2, c_0011_4, c_0011_5, c_0101_2, c_0101_3, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t - 52797247423409823930779/17492308378884996646160*c_0101_6^17 + 335419781756881459517569/2186538547360624580770*c_0101_6^15 - 26954086525748412639179477/8746154189442498323080*c_0101_6^13 + 103618513984952159861020497/3498461675776999329232*c_0101_6^11 - 2155300798500628261247728909/17492308378884996646160*c_0101_6^9 + 79476417968394753705504138/1093269273680312290385*c_0101_6^7 - 591968738533173782663519101/17492308378884996646160*c_0101_6^5 + 146073562207008453926581363/17492308378884996646160*c_0101_6^3 - 4744832010263083616849517/17492308378884996646160*c_0101_6, c_0011_0 - 1, c_0011_2 + 44613243661114303/1559956157451099582*c_0101_6^17 - 2269869099146695357/1559956157451099582*c_0101_6^15 + 45677062153447343375/1559956157451099582*c_0101_6^13 - 220154840426841852562/779978078725549791*c_0101_6^11 + 615233278133784559635/519985385817033194*c_0101_6^9 - 1178587894197388111709/1559956157451099582*c_0101_6^7 + 95840595642009517790/259992692908516597*c_0101_6^5 - 52127645636776861921/519985385817033194*c_0101_6^3 + 6610667419362814169/779978078725549791*c_0101_6, c_0011_4 + 14343143651512213/3119912314902199164*c_0101_6^16 - 182830286406078838/779978078725549791*c_0101_6^14 + 7381985345456604061/1559956157451099582*c_0101_6^12 - 143130039209814311207/3119912314902199164*c_0101_6^10 + 202757704850151773293/1039970771634066388*c_0101_6^8 - 109669794186417524999/779978078725549791*c_0101_6^6 + 69195143167710303013/1039970771634066388*c_0101_6^4 - 22097274230602016019/1039970771634066388*c_0101_6^2 + 5005531980066225175/3119912314902199164, c_0011_5 - 1326626568382735/779978078725549791*c_0101_6^16 + 133548061735634069/1559956157451099582*c_0101_6^14 - 2643395332437581083/1559956157451099582*c_0101_6^12 + 24728812530267366235/1559956157451099582*c_0101_6^10 - 15993539492817104810/259992692908516597*c_0101_6^8 + 14714353055158638025/1559956157451099582*c_0101_6^6 - 4704514684756631279/519985385817033194*c_0101_6^4 - 287075138648591305/259992692908516597*c_0101_6^2 + 737389861950173215/1559956157451099582, c_0101_2 + 32940061995303323/3119912314902199164*c_0101_6^17 - 832564678594767943/1559956157451099582*c_0101_6^15 + 8294103285763761187/779978078725549791*c_0101_6^13 - 314097435455861026783/3119912314902199164*c_0101_6^11 + 419163200662301062515/1039970771634066388*c_0101_6^9 - 218602357385118058301/1559956157451099582*c_0101_6^7 + 66681137955739105665/1039970771634066388*c_0101_6^5 - 4467873470194435321/1039970771634066388*c_0101_6^3 - 8448742172133058909/3119912314902199164*c_0101_6, c_0101_3 + 39039033654230593/3119912314902199164*c_0101_6^16 - 994301772827375267/1559956157451099582*c_0101_6^14 + 10022145554353259867/779978078725549791*c_0101_6^12 - 387664268656457375525/3119912314902199164*c_0101_6^10 + 545867566423023559401/1039970771634066388*c_0101_6^8 - 561132414338165050555/1559956157451099582*c_0101_6^6 + 179731782407675935519/1039970771634066388*c_0101_6^4 - 49276772748036189451/1039970771634066388*c_0101_6^2 + 12617745506035795381/3119912314902199164, c_0101_6^18 - 51*c_0101_6^16 + 1030*c_0101_6^14 - 9993*c_0101_6^12 + 42556*c_0101_6^10 - 31325*c_0101_6^8 + 15655*c_0101_6^6 - 4854*c_0101_6^4 + 634*c_0101_6^2 - 29 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB