Magma V2.19-8 Tue Aug 20 2013 23:38:28 on localhost [Seed = 1048074754] Type ? for help. Type -D to quit. Loading file "K11n20__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K11n20 geometric_solution 9.41056549 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 11 1 2 3 4 0132 0132 0132 0132 0 0 0 0 0 -1 1 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 -3 4 -1 0 0 -1 1 -4 1 0 3 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.884555921007 0.601136535255 0 5 6 4 0132 0132 0132 1230 0 0 0 0 0 0 0 0 0 0 0 0 1 0 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 3 0 0 -3 4 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.892965341096 0.340725028209 7 0 5 8 0132 0132 1302 0132 0 0 0 0 0 1 0 -1 -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 3 0 -3 -4 0 0 4 3 -3 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.269366860031 0.594430743049 4 9 6 0 1230 0132 3120 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 4 0 -4 -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 0.306862488809 0.437604998266 1 3 0 10 3012 3012 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 1 -1 0 0 -1 1 0 1 0 -1 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.213729745196 1.046490913051 2 1 6 9 2031 0132 1302 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.325437745219 0.486659217230 5 8 3 1 2031 2310 3120 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 -4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.608291360404 0.684943964397 2 10 8 10 0132 0132 2310 1230 0 0 0 0 0 0 0 0 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 4 0 -4 0 -1 1 0 0 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.148619471883 0.882325723708 9 7 2 6 2310 3201 0132 3201 0 0 0 0 0 -1 1 0 0 0 -1 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 -3 3 0 0 0 -4 4 0 0 0 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.522040049599 0.828527485303 5 3 8 10 3012 0132 3201 2103 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 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.288922134301 1.242363518252 7 7 4 9 3012 0132 0132 2103 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 -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 0.566323179327 0.586907372850 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : d['c_0101_10'], 'c_1001_5' : d['c_0101_1'], 'c_1001_4' : negation(d['c_0011_3']), 'c_1001_7' : negation(d['c_1001_3']), 'c_1001_6' : negation(d['c_1001_3']), 'c_1001_1' : d['c_0101_9'], 'c_1001_0' : negation(d['c_0101_7']), 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : negation(d['c_0011_3']), 'c_1001_9' : negation(d['c_0101_7']), 'c_1001_8' : negation(d['c_0101_7']), 'c_1010_10' : negation(d['c_1001_3']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], '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' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_10' : 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' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : negation(d['c_0011_8']), 'c_1100_8' : negation(d['c_0011_6']), 'c_1100_5' : d['c_0101_6'], 'c_1100_4' : negation(d['c_0101_6']), 'c_1100_7' : d['c_0011_8'], 'c_1100_6' : d['c_0101_10'], 'c_1100_1' : d['c_0101_10'], 'c_1100_0' : negation(d['c_0101_6']), 'c_1100_3' : negation(d['c_0101_6']), 'c_1100_2' : negation(d['c_0011_6']), 'c_1100_10' : negation(d['c_0101_6']), 'c_1010_7' : d['c_0101_10'], 'c_1010_6' : d['c_0101_9'], 'c_1010_5' : d['c_0101_9'], 'c_1010_4' : d['c_0101_10'], 'c_1010_3' : negation(d['c_0101_7']), 'c_1010_2' : negation(d['c_0101_7']), 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : negation(d['c_0011_3']), 'c_1010_9' : d['c_1001_3'], 'c_1010_8' : d['c_1001_3'], 's_3_1' : negation(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' : 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' : 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' : negation(d['c_0011_3']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : 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_0110_10' : d['c_0011_8'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0011_6']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0101_10']), 'c_0101_2' : negation(d['c_0011_0']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_4'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0101_7'], 'c_0011_10' : negation(d['c_0011_0']), 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_6'], 'c_0110_8' : negation(d['c_0101_9']), 'c_0110_1' : d['c_0011_4'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_4'], 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : negation(d['c_0011_3']), 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : negation(d['c_0011_0']), 'c_0110_6' : d['c_0101_1']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_4, c_0011_6, c_0011_8, c_0101_1, c_0101_10, c_0101_6, c_0101_7, c_0101_9, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 17 Groebner basis: [ t - 89234300658849/32364443191366*c_1001_3^16 + 62402496848355/2942222108306*c_1001_3^15 - 169226723422079/2489572553182*c_1001_3^14 + 1800988384394038/16182221595683*c_1001_3^13 - 234962966021005/2489572553182*c_1001_3^12 + 3549769474101207/32364443191366*c_1001_3^11 - 15788556763113087/32364443191366*c_1001_3^10 + 46694008944869237/32364443191366*c_1001_3^9 - 6337744945267861/2489572553182*c_1001_3^8 + 47081469781326267/16182221595683*c_1001_3^7 - 35224038563636788/16182221595683*c_1001_3^6 + 75012323735608/77426897587*c_1001_3^5 - 3807851975024481/32364443191366*c_1001_3^4 - 4181233661656613/32364443191366*c_1001_3^3 + 1267616171056360/16182221595683*c_1001_3^2 - 331220627605954/16182221595683*c_1001_3 - 37505360129997/16182221595683, c_0011_0 - 1, c_0011_3 - 11049252/24113017*c_1001_3^16 + 80762678/24113017*c_1001_3^15 - 261273606/24113017*c_1001_3^14 + 466540293/24113017*c_1001_3^13 - 497437696/24113017*c_1001_3^12 + 588198156/24113017*c_1001_3^11 - 1907188784/24113017*c_1001_3^10 + 5616115803/24113017*c_1001_3^9 - 10720240580/24113017*c_1001_3^8 + 13775934525/24113017*c_1001_3^7 - 12152763258/24113017*c_1001_3^6 + 7091605789/24113017*c_1001_3^5 - 2358520301/24113017*c_1001_3^4 + 161090506/24113017*c_1001_3^3 + 150570854/24113017*c_1001_3^2 - 3814662/24113017*c_1001_3 - 19461124/24113017, c_0011_4 - 10626480/24113017*c_1001_3^16 + 76227136/24113017*c_1001_3^15 - 236017669/24113017*c_1001_3^14 + 385690902/24113017*c_1001_3^13 - 348657442/24113017*c_1001_3^12 + 435040311/24113017*c_1001_3^11 - 1753924688/24113017*c_1001_3^10 + 5059698646/24113017*c_1001_3^9 - 8953001396/24113017*c_1001_3^8 + 10420765337/24113017*c_1001_3^7 - 8148882677/24113017*c_1001_3^6 + 4164263915/24113017*c_1001_3^5 - 1324879941/24113017*c_1001_3^4 + 337220305/24113017*c_1001_3^3 - 158822300/24113017*c_1001_3^2 + 61781999/24113017*c_1001_3 + 516758/24113017, c_0011_6 - 3871854/24113017*c_1001_3^16 + 36358600/24113017*c_1001_3^15 - 138151639/24113017*c_1001_3^14 + 266982472/24113017*c_1001_3^13 - 254073074/24113017*c_1001_3^12 + 172312707/24113017*c_1001_3^11 - 782926379/24113017*c_1001_3^10 + 2924927505/24113017*c_1001_3^9 - 5875878428/24113017*c_1001_3^8 + 7119478060/24113017*c_1001_3^7 - 5021707008/24113017*c_1001_3^6 + 1216120150/24113017*c_1001_3^5 + 1245988644/24113017*c_1001_3^4 - 1339191515/24113017*c_1001_3^3 + 465797803/24113017*c_1001_3^2 - 4031665/24113017*c_1001_3 - 24539116/24113017, c_0011_8 + 3417914/24113017*c_1001_3^16 - 32657228/24113017*c_1001_3^15 + 131154291/24113017*c_1001_3^14 - 278924365/24113017*c_1001_3^13 + 323237464/24113017*c_1001_3^12 - 274487288/24113017*c_1001_3^11 + 805359371/24113017*c_1001_3^10 - 2867318195/24113017*c_1001_3^9 + 6143367533/24113017*c_1001_3^8 - 8404584111/24113017*c_1001_3^7 + 7609506691/24113017*c_1001_3^6 - 4444814934/24113017*c_1001_3^5 + 1469931867/24113017*c_1001_3^4 - 143110676/24113017*c_1001_3^3 - 21794492/24113017*c_1001_3^2 - 13631949/24113017*c_1001_3 + 8411872/24113017, c_0101_1 - 2443309/24113017*c_1001_3^16 + 23189077/24113017*c_1001_3^15 - 98372174/24113017*c_1001_3^14 + 237374639/24113017*c_1001_3^13 - 348304021/24113017*c_1001_3^12 + 371432768/24113017*c_1001_3^11 - 699686913/24113017*c_1001_3^10 + 2217508921/24113017*c_1001_3^9 - 5261923776/24113017*c_1001_3^8 + 8468990952/24113017*c_1001_3^7 - 9517066444/24113017*c_1001_3^6 + 7521050625/24113017*c_1001_3^5 - 4063339182/24113017*c_1001_3^4 + 1331672336/24113017*c_1001_3^3 - 149457348/24113017*c_1001_3^2 - 30574983/24113017*c_1001_3 - 11541967/24113017, c_0101_10 + 10227243/24113017*c_1001_3^16 - 82318269/24113017*c_1001_3^15 + 286726161/24113017*c_1001_3^14 - 540850938/24113017*c_1001_3^13 + 591957987/24113017*c_1001_3^12 - 652745579/24113017*c_1001_3^11 + 2054180406/24113017*c_1001_3^10 - 6219698582/24113017*c_1001_3^9 + 12190801930/24113017*c_1001_3^8 - 16159495071/24113017*c_1001_3^7 + 15015802778/24113017*c_1001_3^6 - 9765311717/24113017*c_1001_3^5 + 4172607094/24113017*c_1001_3^4 - 898547254/24113017*c_1001_3^3 - 69818922/24113017*c_1001_3^2 + 76790516/24113017*c_1001_3 - 8323890/24113017, c_0101_6 + 5313916/24113017*c_1001_3^16 - 35452699/24113017*c_1001_3^15 + 94357009/24113017*c_1001_3^14 - 111326796/24113017*c_1001_3^13 + 38651222/24113017*c_1001_3^12 - 118358657/24113017*c_1001_3^11 + 789226483/24113017*c_1001_3^10 - 1976930367/24113017*c_1001_3^9 + 2727428957/24113017*c_1001_3^8 - 2188695087/24113017*c_1001_3^7 + 845751492/24113017*c_1001_3^6 + 78383175/24113017*c_1001_3^5 - 181591154/24113017*c_1001_3^4 - 19220476/24113017*c_1001_3^3 + 78759934/24113017*c_1001_3^2 - 15247700/24113017*c_1001_3 - 27530931/24113017, c_0101_7 + 10091950/24113017*c_1001_3^16 - 67642464/24113017*c_1001_3^15 + 187201209/24113017*c_1001_3^14 - 251237977/24113017*c_1001_3^13 + 160725020/24113017*c_1001_3^12 - 309510949/24113017*c_1001_3^11 + 1540038802/24113017*c_1001_3^10 - 3968286064/24113017*c_1001_3^9 + 6062807488/24113017*c_1001_3^8 - 5983288615/24113017*c_1001_3^7 + 3927746089/24113017*c_1001_3^6 - 1786025869/24113017*c_1001_3^5 + 741577317/24113017*c_1001_3^4 - 447931343/24113017*c_1001_3^3 + 224739209/24113017*c_1001_3^2 - 34989725/24113017*c_1001_3 - 13300674/24113017, c_0101_9 + 10626480/24113017*c_1001_3^16 - 76227136/24113017*c_1001_3^15 + 236017669/24113017*c_1001_3^14 - 385690902/24113017*c_1001_3^13 + 348657442/24113017*c_1001_3^12 - 435040311/24113017*c_1001_3^11 + 1753924688/24113017*c_1001_3^10 - 5059698646/24113017*c_1001_3^9 + 8953001396/24113017*c_1001_3^8 - 10420765337/24113017*c_1001_3^7 + 8148882677/24113017*c_1001_3^6 - 4164263915/24113017*c_1001_3^5 + 1324879941/24113017*c_1001_3^4 - 337220305/24113017*c_1001_3^3 + 158822300/24113017*c_1001_3^2 - 61781999/24113017*c_1001_3 - 516758/24113017, c_1001_3^17 - 8*c_1001_3^16 + 28*c_1001_3^15 - 54*c_1001_3^14 + 62*c_1001_3^13 - 69*c_1001_3^12 + 201*c_1001_3^11 - 608*c_1001_3^10 + 1219*c_1001_3^9 - 1661*c_1001_3^8 + 1586*c_1001_3^7 - 1053*c_1001_3^6 + 453*c_1001_3^5 - 95*c_1001_3^4 - 12*c_1001_3^3 + 12*c_1001_3^2 - 2*c_1001_3 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.150 Total time: 0.370 seconds, Total memory usage: 32.09MB