Magma V2.19-8 Tue Aug 20 2013 23:38:21 on localhost [Seed = 3616650239] Type ? for help. Type -D to quit. Loading file "K13n572__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K13n572 geometric_solution 9.35569950 oriented_manifold CS_known -0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 10 1 2 3 4 0132 0132 0132 0132 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 -1 0 1 1 0 1 -2 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.806280246028 0.915649188493 0 5 7 6 0132 0132 0132 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 1 0 -1 -1 0 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 -0.176103493784 0.707091138958 3 0 8 4 0132 0132 0132 3120 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.730013002184 1.033367766317 2 5 8 0 0132 1023 0321 0132 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 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 0.806280246028 0.915649188493 2 9 0 6 3120 0132 0132 0213 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 -1 1 0 0 2 -2 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.475203684312 0.528549295669 3 1 7 9 1023 0132 3201 1230 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 2 -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 0 0 -0.176103493784 0.707091138958 8 7 1 4 0132 0132 0132 0213 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 1 -1 0 0 0 0 0 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.490038586420 0.891687434218 5 6 9 1 2310 0132 0321 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 0 0 0 0 1 -1 0 0 0 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.027674943504 0.986965182336 6 9 3 2 0132 0321 0321 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.945961540203 0.952726402334 5 4 7 8 3012 0132 0321 0321 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 1 0 0 -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 0.483299187526 0.845067491400 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_5' : negation(d['c_0101_7']), 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_1001_7'], 'c_1001_6' : negation(d['c_0101_7']), 'c_1001_1' : negation(d['c_0101_7']), 'c_1001_0' : negation(d['c_0011_4']), 'c_1001_3' : negation(d['c_0101_1']), 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_1001_9'], 'c_1001_8' : d['c_1001_7'], 's_2_8' : d['1'], 's_2_9' : 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' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : 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' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : d['c_1001_7'], 'c_1100_8' : negation(d['c_0101_1']), 'c_1100_5' : d['c_0011_6'], 'c_1100_4' : d['c_1001_7'], 'c_1100_7' : d['c_1001_9'], 'c_1100_6' : d['c_1001_9'], 'c_1100_1' : d['c_1001_9'], 'c_1100_0' : d['c_1001_7'], 'c_1100_3' : d['c_1001_7'], 'c_1100_2' : negation(d['c_0101_1']), 'c_1010_7' : negation(d['c_0101_7']), 'c_1010_6' : d['c_1001_7'], 'c_1010_5' : negation(d['c_0101_7']), 'c_1010_4' : d['c_1001_9'], 'c_1010_3' : negation(d['c_0011_4']), 'c_1010_2' : negation(d['c_0011_4']), 'c_1010_1' : negation(d['c_0101_7']), 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_2'], 'c_1010_8' : d['c_1001_2'], 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : negation(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' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_4']), 'c_0011_8' : negation(d['c_0011_6']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_6']), '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_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0101_1']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0101_7']), 'c_0101_8' : negation(d['c_0101_3']), 'c_0110_9' : d['c_0011_6'], 'c_0110_8' : d['c_0101_0'], '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_3'], 'c_0110_5' : negation(d['c_0011_4']), 'c_0110_4' : d['c_0101_3'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : negation(d['c_0101_3'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 11 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_4, c_0011_6, c_0101_0, c_0101_1, c_0101_3, c_0101_7, c_1001_2, c_1001_7, c_1001_9 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t + 92017975811535969137139/2726984475776771365232*c_1001_9^13 + 1556157205815641927003783/10907937903107085460928*c_1001_9^12 - 574458020296927166638397/43631751612428341843712*c_1001_9^11 - 23826746210457714248794161/43631751612428341843712*c_1001_9^10 - 8309757861367320319588035/43631751612428341843712*c_1001_9^9 + 2816539964479887525252993/6233107373204048834816*c_1001_9^8 + 14720771865483262320125641/43631751612428341843712*c_1001_9^7 + 3600271642936558704459595/43631751612428341843712*c_1001_9^6 - 24948276219968463128609915/43631751612428341843712*c_1001_9^5 + 7700775205307629656887565/6233107373204048834816*c_1001_9^4 - 60182410835641231902645189/43631751612428341843712*c_1001_9^3 + 1179444031845914244558039/3966522873857121985792*c_1001_9^2 - 531619439872831004024347/3966522873857121985792*c_1001_9 + 24552223945492366136567427/43631751612428341843712, c_0011_0 - 1, c_0011_4 + 113811721482409282/201223765922134841*c_1001_9^13 + 613572479046513629/402447531844269682*c_1001_9^12 - 4077813170101140623/1609790127377078728*c_1001_9^11 - 10252426803411963795/1609790127377078728*c_1001_9^10 + 4842313800424356755/1609790127377078728*c_1001_9^9 + 10363502348610417993/1609790127377078728*c_1001_9^8 + 13088395102719434771/1609790127377078728*c_1001_9^7 - 22537095976557700951/1609790127377078728*c_1001_9^6 + 2619039905034308299/1609790127377078728*c_1001_9^5 + 764891265217772493/1609790127377078728*c_1001_9^4 + 3029025216038953857/1609790127377078728*c_1001_9^3 + 1093095951500510703/1609790127377078728*c_1001_9^2 - 47664331146736063/1609790127377078728*c_1001_9 + 857551711594450413/1609790127377078728, c_0011_6 - c_1001_9, c_0101_0 + 113811721482409282/201223765922134841*c_1001_9^13 + 613572479046513629/402447531844269682*c_1001_9^12 - 4077813170101140623/1609790127377078728*c_1001_9^11 - 10252426803411963795/1609790127377078728*c_1001_9^10 + 4842313800424356755/1609790127377078728*c_1001_9^9 + 10363502348610417993/1609790127377078728*c_1001_9^8 + 13088395102719434771/1609790127377078728*c_1001_9^7 - 22537095976557700951/1609790127377078728*c_1001_9^6 + 2619039905034308299/1609790127377078728*c_1001_9^5 + 764891265217772493/1609790127377078728*c_1001_9^4 + 3029025216038953857/1609790127377078728*c_1001_9^3 + 1093095951500510703/1609790127377078728*c_1001_9^2 - 47664331146736063/1609790127377078728*c_1001_9 + 857551711594450413/1609790127377078728, c_0101_1 - 63870542616621912/201223765922134841*c_1001_9^13 - 191743869308666994/201223765922134841*c_1001_9^12 + 336229892638306235/402447531844269682*c_1001_9^11 + 2074323470377218825/804895063688539364*c_1001_9^10 - 593019160602347353/402447531844269682*c_1001_9^9 - 1036875097714448385/804895063688539364*c_1001_9^8 - 391965671502657288/201223765922134841*c_1001_9^7 + 6066141046858606529/804895063688539364*c_1001_9^6 - 1334306571296645339/402447531844269682*c_1001_9^5 - 864231707376836533/804895063688539364*c_1001_9^4 - 203283313861622585/201223765922134841*c_1001_9^3 + 1099561398540600551/804895063688539364*c_1001_9^2 - 66459457875936013/402447531844269682*c_1001_9 + 144624527569197545/804895063688539364, c_0101_3 + 6130768594419710/201223765922134841*c_1001_9^13 + 58159788356145819/402447531844269682*c_1001_9^12 + 734874052217033095/1609790127377078728*c_1001_9^11 + 1221242481991180801/1609790127377078728*c_1001_9^10 - 2136508061599900583/1609790127377078728*c_1001_9^9 - 5362240732400111091/1609790127377078728*c_1001_9^8 + 1284830780996801113/1609790127377078728*c_1001_9^7 + 2425240205480184053/1609790127377078728*c_1001_9^6 + 7921022014419341225/1609790127377078728*c_1001_9^5 - 9048838550332223943/1609790127377078728*c_1001_9^4 + 3891426017382371203/1609790127377078728*c_1001_9^3 - 3407944807492325789/1609790127377078728*c_1001_9^2 + 1728350851109611259/1609790127377078728*c_1001_9 - 1061935993821035475/1609790127377078728, c_0101_7 - 3680097042872316/201223765922134841*c_1001_9^13 + 93666903068610649/201223765922134841*c_1001_9^12 + 1267816228937586125/804895063688539364*c_1001_9^11 - 303648900629436994/201223765922134841*c_1001_9^10 - 4190963687609869913/804895063688539364*c_1001_9^9 + 578879832570314383/402447531844269682*c_1001_9^8 + 2814667158411416069/804895063688539364*c_1001_9^7 + 1529045599424422150/201223765922134841*c_1001_9^6 - 8868251735605157185/804895063688539364*c_1001_9^5 + 1306716714465024087/402447531844269682*c_1001_9^4 - 1485469964553693465/804895063688539364*c_1001_9^3 + 459429427078385434/201223765922134841*c_1001_9^2 - 700482000711090263/804895063688539364*c_1001_9 + 53063454277507865/201223765922134841, c_1001_2 + 6130768594419710/201223765922134841*c_1001_9^13 + 58159788356145819/402447531844269682*c_1001_9^12 + 734874052217033095/1609790127377078728*c_1001_9^11 + 1221242481991180801/1609790127377078728*c_1001_9^10 - 2136508061599900583/1609790127377078728*c_1001_9^9 - 5362240732400111091/1609790127377078728*c_1001_9^8 + 1284830780996801113/1609790127377078728*c_1001_9^7 + 2425240205480184053/1609790127377078728*c_1001_9^6 + 7921022014419341225/1609790127377078728*c_1001_9^5 - 9048838550332223943/1609790127377078728*c_1001_9^4 + 3891426017382371203/1609790127377078728*c_1001_9^3 - 3407944807492325789/1609790127377078728*c_1001_9^2 + 1728350851109611259/1609790127377078728*c_1001_9 - 1061935993821035475/1609790127377078728, c_1001_7 + 27998083344381910/201223765922134841*c_1001_9^13 + 118623084378968927/402447531844269682*c_1001_9^12 - 895955640470382533/1609790127377078728*c_1001_9^11 - 452820748022387225/1609790127377078728*c_1001_9^10 + 1746691871025639801/1609790127377078728*c_1001_9^9 - 2618348014784426325/1609790127377078728*c_1001_9^8 + 2076040660022125169/1609790127377078728*c_1001_9^7 - 4315331998668368917/1609790127377078728*c_1001_9^6 + 10110084266289561977/1609790127377078728*c_1001_9^5 - 7838760817429094673/1609790127377078728*c_1001_9^4 + 1649560870117019051/1609790127377078728*c_1001_9^3 - 2451128606991707339/1609790127377078728*c_1001_9^2 + 1179321762025159355/1609790127377078728*c_1001_9 - 270248079740532625/1609790127377078728, c_1001_9^14 + 9/4*c_1001_9^13 - 83/16*c_1001_9^12 - 8*c_1001_9^11 + 67/8*c_1001_9^10 + 41/8*c_1001_9^9 + 97/8*c_1001_9^8 - 235/8*c_1001_9^7 + 157/8*c_1001_9^6 - 101/8*c_1001_9^5 + 47/4*c_1001_9^4 - 55/8*c_1001_9^3 + 33/8*c_1001_9^2 - c_1001_9 + 11/16 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.070 Total time: 0.270 seconds, Total memory usage: 32.09MB