Magma V2.19-8 Wed Aug 21 2013 00:57:07 on localhost [Seed = 3465073695] Type ? for help. Type -D to quit. Loading file "L13n3767__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n3767 geometric_solution 12.60861626 oriented_manifold CS_known 0.0000000000000000 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 2 0132 0132 0132 1023 1 1 1 1 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 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 0.588317815301 0.854891568773 0 4 6 5 0132 0132 0132 0132 1 1 1 1 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.598288888037 1.170920950348 4 0 7 0 3120 0132 0132 1023 1 1 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 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 0.588317815301 0.854891568773 8 6 7 0 0132 1023 0321 0132 1 1 1 1 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 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 0.598288888037 1.170920950348 6 1 9 2 1302 0132 0132 3120 1 1 1 1 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 0 0 1 -1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.653969348293 0.677222237699 10 10 1 11 0132 1230 0132 0132 1 1 0 1 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.399672555374 0.670675337513 3 4 7 1 1023 2031 2310 0132 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 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 -0.411682184699 0.854891568773 11 6 3 2 3201 3201 0321 0132 1 1 1 1 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.598288888037 1.170920950348 3 9 9 12 0132 3012 1023 0132 1 1 1 1 0 1 -1 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 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 0.399672555374 0.670675337513 8 10 8 4 1230 1302 1023 0132 1 1 1 1 0 0 0 0 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 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 0.740963458123 0.827791435841 5 12 5 9 0132 0132 3012 2031 1 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 0 0 0 0 0 -1 0 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 0.344308460153 1.100291072978 12 12 5 7 0132 1302 0132 2310 1 1 1 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 1 0 -1 0 0 0 0 0 1 0 -1 -2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.399672555374 0.670675337513 11 10 8 11 0132 0132 0132 2031 1 1 0 1 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 1 0 -1 0 0 1 -1 2 -1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.740963458123 0.827791435841 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_10'], 'c_1001_10' : d['c_0011_10'], 'c_1001_12' : d['c_0011_9'], 'c_1001_5' : d['c_1001_4'], 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : negation(d['c_0101_6']), 'c_1001_6' : negation(d['c_0110_2']), 'c_1001_1' : d['c_0011_0'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_0101_6'], 'c_1001_2' : d['c_0110_2'], 'c_1001_9' : d['c_0101_0'], 'c_1001_8' : negation(d['c_0011_9']), 'c_1010_12' : d['c_0011_10'], 'c_1010_11' : negation(d['c_0101_2']), 'c_1010_10' : d['c_0011_9'], 's_0_10' : d['1'], 's_0_11' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_10'], 'c_0101_10' : d['c_0101_10'], '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_2_7' : d['1'], 's_2_12' : 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' : 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_0011_11' : d['c_0011_10'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : negation(d['c_0011_10']), 'c_1100_5' : d['c_0011_7'], 'c_1100_4' : negation(d['c_0101_2']), 'c_1100_7' : d['c_0101_6'], 'c_1100_6' : d['c_0011_7'], 'c_1100_1' : d['c_0011_7'], 'c_1100_0' : negation(d['c_0101_6']), 'c_1100_3' : negation(d['c_0101_6']), 'c_1100_2' : d['c_0101_6'], 's_3_11' : d['1'], 'c_1100_9' : negation(d['c_0101_2']), 'c_1100_11' : d['c_0011_7'], 'c_1100_10' : negation(d['c_1001_4']), 's_3_10' : d['1'], 'c_1010_7' : d['c_0110_2'], 'c_1010_6' : d['c_0011_0'], 'c_1010_5' : d['c_0101_10'], 'c_1010_4' : d['c_0011_0'], '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_0110_2'], 'c_1010_9' : d['c_1001_4'], 'c_1010_8' : d['c_0011_9'], 'c_1100_8' : d['c_0101_2'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : 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'], 'c_1100_12' : d['c_0101_2'], 's_1_7' : 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_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_9'], 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : 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_0110_11' : d['c_0101_12'], 'c_0110_10' : d['c_0101_0'], 'c_0110_12' : d['c_0101_10'], 'c_0101_12' : d['c_0101_12'], 'c_0101_7' : negation(d['c_0101_12']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : negation(d['c_0011_3']), 'c_0101_3' : d['c_0101_12'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_9']), 'c_0101_8' : d['c_0101_0'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_3']), 'c_0110_8' : d['c_0101_12'], '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_0110_2'], 'c_0110_5' : d['c_0101_10'], 'c_0110_4' : d['c_0110_2'], 'c_0110_7' : d['c_0101_2'], 'c_0110_6' : d['c_0101_1']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_7, c_0011_9, c_0101_0, c_0101_1, c_0101_10, c_0101_12, c_0101_2, c_0101_6, c_0110_2, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t - 84733470768487/512898935465955328*c_1001_4^10 - 5121608620362207/512898935465955328*c_1001_4^9 + 14432796551502761/256449467732977664*c_1001_4^8 - 14232602746290403/128224733866488832*c_1001_4^7 + 134804387458320791/512898935465955328*c_1001_4^6 - 236872935363069851/512898935465955328*c_1001_4^5 - 792646684748225/7655207992029184*c_1001_4^4 - 202233682147247907/512898935465955328*c_1001_4^3 + 131897812904421817/256449467732977664*c_1001_4^2 + 2737914726125497/3827603996014592*c_1001_4 - 182318681197657185/256449467732977664, c_0011_0 - 1, c_0011_10 + 1, c_0011_3 - 10533804133/1172710926117*c_1001_4^10 + 84941212301/2345421852234*c_1001_4^9 - 47218427687/2345421852234*c_1001_4^8 + 18615425488/390903642039*c_1001_4^7 - 45264104702/1172710926117*c_1001_4^6 - 574703728471/781807284078*c_1001_4^5 - 8635241255/35006296302*c_1001_4^4 + 171749671935/260602428026*c_1001_4^3 + 4714645554845/2345421852234*c_1001_4^2 - 1081486885/5834382717*c_1001_4 - 2644776188788/1172710926117, c_0011_7 - 10533804133/1172710926117*c_1001_4^10 + 84941212301/2345421852234*c_1001_4^9 - 47218427687/2345421852234*c_1001_4^8 + 18615425488/390903642039*c_1001_4^7 - 45264104702/1172710926117*c_1001_4^6 - 574703728471/781807284078*c_1001_4^5 - 8635241255/35006296302*c_1001_4^4 + 171749671935/260602428026*c_1001_4^3 + 4714645554845/2345421852234*c_1001_4^2 - 1081486885/5834382717*c_1001_4 - 2644776188788/1172710926117, c_0011_9 + 27980726053/4690843704468*c_1001_4^10 - 78478065893/2345421852234*c_1001_4^9 + 138776883683/2345421852234*c_1001_4^8 - 43313976979/390903642039*c_1001_4^7 + 1057595353379/4690843704468*c_1001_4^6 + 72335638589/390903642039*c_1001_4^5 - 9149056031/70012592604*c_1001_4^4 - 201074799951/260602428026*c_1001_4^3 - 2671576654079/2345421852234*c_1001_4^2 + 11931580949/11668765434*c_1001_4 + 2416024995445/1172710926117, c_0101_0 - 26022168091/2345421852234*c_1001_4^10 + 65839559576/1172710926117*c_1001_4^9 - 184321486843/2345421852234*c_1001_4^8 + 52804998122/390903642039*c_1001_4^7 - 521740293833/2345421852234*c_1001_4^6 - 249697011427/390903642039*c_1001_4^5 + 2357858932/17503148151*c_1001_4^4 + 165782799913/130301214013*c_1001_4^3 + 3848739758461/2345421852234*c_1001_4^2 - 7855019234/5834382717*c_1001_4 - 3313948404164/1172710926117, c_0101_1 - 2698275062/1172710926117*c_1001_4^10 + 27424740919/2345421852234*c_1001_4^9 - 18020694637/2345421852234*c_1001_4^8 - 4862009446/390903642039*c_1001_4^7 + 8129090732/1172710926117*c_1001_4^6 - 201300562799/781807284078*c_1001_4^5 + 8124262301/35006296302*c_1001_4^4 + 158152908125/260602428026*c_1001_4^3 + 1783722558955/2345421852234*c_1001_4^2 - 5402663996/5834382717*c_1001_4 - 1857962613557/1172710926117, c_0101_10 + 2459690251/3127229136312*c_1001_4^10 - 665226815/390903642039*c_1001_4^9 + 5224688617/781807284078*c_1001_4^8 - 14272645529/260602428026*c_1001_4^7 + 283677570713/3127229136312*c_1001_4^6 - 84274866947/521204856052*c_1001_4^5 + 23507583289/46675061736*c_1001_4^4 + 78251923075/260602428026*c_1001_4^3 + 24310170016/390903642039*c_1001_4^2 - 5295638873/7779176956*c_1001_4 - 541350929447/781807284078, c_0101_12 + c_1001_4, c_0101_2 - 26022168091/2345421852234*c_1001_4^10 + 65839559576/1172710926117*c_1001_4^9 - 184321486843/2345421852234*c_1001_4^8 + 52804998122/390903642039*c_1001_4^7 - 521740293833/2345421852234*c_1001_4^6 - 249697011427/390903642039*c_1001_4^5 + 2357858932/17503148151*c_1001_4^4 + 165782799913/130301214013*c_1001_4^3 + 3848739758461/2345421852234*c_1001_4^2 - 7855019234/5834382717*c_1001_4 - 3313948404164/1172710926117, c_0101_6 + 1, c_0110_2 - 2698275062/1172710926117*c_1001_4^10 + 27424740919/2345421852234*c_1001_4^9 - 18020694637/2345421852234*c_1001_4^8 - 4862009446/390903642039*c_1001_4^7 + 8129090732/1172710926117*c_1001_4^6 - 201300562799/781807284078*c_1001_4^5 + 8124262301/35006296302*c_1001_4^4 + 158152908125/260602428026*c_1001_4^3 + 1783722558955/2345421852234*c_1001_4^2 - 5402663996/5834382717*c_1001_4 - 1857962613557/1172710926117, c_1001_4^11 - 6*c_1001_4^10 + 12*c_1001_4^9 - 20*c_1001_4^8 + 35*c_1001_4^7 + 32*c_1001_4^6 - 59*c_1001_4^5 - 98*c_1001_4^4 - 64*c_1001_4^3 + 242*c_1001_4^2 + 184*c_1001_4 - 248 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.620 Total time: 0.830 seconds, Total memory usage: 32.09MB