Magma V2.19-8 Tue Aug 20 2013 23:39:58 on localhost [Seed = 2084182221] Type ? for help. Type -D to quit. Loading file "K14n22711__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K14n22711 geometric_solution 9.98300866 oriented_manifold CS_known 0.0000000000000008 1 0 torus 0.000000000000 0.000000000000 11 1 2 3 4 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 0 -1 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 0.098310723711 1.434028389755 0 5 7 6 0132 0132 0132 0132 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 -8 0 8 0 0 1 -1 0 0 0 0 0 -8 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.241542757649 1.196979249461 5 0 4 8 0132 0132 2031 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 -1 0 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 -0.208278997999 0.804929195384 8 6 7 0 1302 3012 3120 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 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 0.198575353193 1.002006599920 9 10 0 2 0132 0132 0132 1302 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 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 0.518237271677 0.591982171178 2 1 10 7 0132 0132 2103 2310 0 0 0 0 0 1 0 -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 0 0 0 0 8 0 -8 1 0 -1 0 -7 8 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.009844515314 0.685164802492 3 9 1 8 1230 2103 0132 2310 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 -8 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 0.486803914313 0.608642043831 5 9 3 1 3201 2310 3120 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 0 -1 8 0 0 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.241542757649 1.196979249461 6 3 2 10 3201 2031 0132 3012 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 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 -0.194082887077 1.086889251980 4 6 10 7 0132 2103 1230 3201 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 0 0 0 0 0.098310723711 1.434028389755 5 4 8 9 2103 0132 1230 3012 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 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 0.573228402021 0.381872297023 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0011_3'], 'c_1001_10' : d['c_1001_10'], 'c_1001_5' : d['c_0011_10'], 'c_1001_4' : negation(d['c_0101_9']), 'c_1001_7' : d['c_0011_6'], 'c_1001_6' : d['c_0011_10'], 'c_1001_1' : negation(d['c_0101_1']), 'c_1001_0' : negation(d['c_0101_0']), 'c_1001_3' : negation(d['c_0011_6']), 'c_1001_2' : negation(d['c_0101_9']), 'c_1001_9' : d['c_0011_6'], 'c_1001_8' : negation(d['c_0101_0']), 'c_1010_10' : negation(d['c_0101_9']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_10' : negation(d['c_0011_3']), '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' : negation(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' : negation(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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : negation(d['c_0011_7']), 'c_1100_8' : negation(d['c_1001_10']), 'c_1100_5' : d['c_0011_7'], 'c_1100_4' : d['c_0101_2'], 'c_1100_7' : d['c_0011_8'], 'c_1100_6' : d['c_0011_8'], 'c_1100_1' : d['c_0011_8'], 'c_1100_0' : d['c_0101_2'], 'c_1100_3' : d['c_0101_2'], 'c_1100_2' : negation(d['c_1001_10']), 'c_1100_10' : negation(d['c_0011_6']), 'c_1010_7' : negation(d['c_0101_1']), 'c_1010_6' : d['c_0011_6'], 'c_1010_5' : negation(d['c_0101_1']), 'c_1010_4' : d['c_1001_10'], 'c_1010_3' : negation(d['c_0101_0']), 'c_1010_2' : negation(d['c_0101_0']), 'c_1010_1' : d['c_0011_10'], 'c_1010_0' : negation(d['c_0101_9']), 'c_1010_9' : negation(d['c_0011_6']), 'c_1010_8' : d['c_0011_3'], 's_3_1' : negation(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' : d['1'], 's_1_3' : negation(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_10'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_7'], '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' : negation(d['c_0011_7']), 'c_0101_7' : negation(d['c_0101_2']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0011_3']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_8']), '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_9'], 'c_0101_8' : negation(d['c_0011_3']), 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_1'], 'c_0110_8' : negation(d['c_0011_6']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_3']), 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_9'], 'c_0110_7' : d['c_0101_1'], 'c_0011_10' : d['c_0011_10']})} 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_10, c_0011_3, c_0011_6, c_0011_7, c_0011_8, c_0101_0, c_0101_1, c_0101_2, c_0101_9, c_1001_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t - 113667510864646084461/2466326964421502472224*c_1001_10^12 + 166363124399838142009/3699490446632253708336*c_1001_10^11 - 13835737627543579711175/7398980893264507416672*c_1001_10^10 + 53438619326986540776713/3699490446632253708336*c_1001_10^9 - 116575293916841425953483/2466326964421502472224*c_1001_10^8 + 112467184442041107147011/2466326964421502472224*c_1001_10^7 - 13086419537278944921957/1233163482210751236112*c_1001_10^6 - 55139743117704688035649/7398980893264507416672*c_1001_10^5 + 131442072080728878828709/7398980893264507416672*c_1001_10^4 - 39852290997474295893617/1849745223316126854168*c_1001_10^3 + 3078423480788702685581/231218152914515856771*c_1001_10^2 + 7302649179582639027791/924872611658063427084*c_1001_10 - 2141724371450091493403/462436305829031713542, c_0011_0 - 1, c_0011_10 + 48038762648938645/10848945591296931696*c_1001_10^12 - 21576804280080983/1356118198912116462*c_1001_10^11 + 707669736095538239/3616315197098977232*c_1001_10^10 - 5064355478921661899/2712236397824232924*c_1001_10^9 + 90865267133788560523/10848945591296931696*c_1001_10^8 - 194639691581275364401/10848945591296931696*c_1001_10^7 + 51508604985244733597/2712236397824232924*c_1001_10^6 - 143418321292213493753/10848945591296931696*c_1001_10^5 + 99058410215500594495/10848945591296931696*c_1001_10^4 - 23389307452969666523/5424472795648465848*c_1001_10^3 + 201112594988612845/2712236397824232924*c_1001_10^2 + 851109655523815819/1356118198912116462*c_1001_10 + 866363209464440966/678059099456058231, c_0011_3 + 296834651414387269/21697891182593863392*c_1001_10^12 - 686242916497739737/21697891182593863392*c_1001_10^11 + 2092710285230957457/3616315197098977232*c_1001_10^10 - 54737691920506330885/10848945591296931696*c_1001_10^9 + 434217237963975994609/21697891182593863392*c_1001_10^8 - 374643863046146000831/10848945591296931696*c_1001_10^7 + 333770028440674271611/10848945591296931696*c_1001_10^6 - 456532102745958609131/21697891182593863392*c_1001_10^5 + 140878746889876984991/10848945591296931696*c_1001_10^4 - 2968407229710284113/1356118198912116462*c_1001_10^3 - 5219058134470290461/1356118198912116462*c_1001_10^2 + 703730283562920323/1356118198912116462*c_1001_10 + 1171398412280323840/678059099456058231, c_0011_6 - 57457167674100067/10848945591296931696*c_1001_10^12 + 75849016899047875/10848945591296931696*c_1001_10^11 - 198740955380022929/904078799274744308*c_1001_10^10 + 2357678908594838611/1356118198912116462*c_1001_10^9 - 66570056689112397343/10848945591296931696*c_1001_10^8 + 44310550006016831069/5424472795648465848*c_1001_10^7 - 4664991878798780102/678059099456058231*c_1001_10^6 + 56671026699771517373/10848945591296931696*c_1001_10^5 - 16962993482331737201/5424472795648465848*c_1001_10^4 + 3841371818840729117/5424472795648465848*c_1001_10^3 - 100355393028854447/1356118198912116462*c_1001_10^2 + 1621212730355916047/1356118198912116462*c_1001_10 + 61439215568408077/678059099456058231, c_0011_7 - 1, c_0011_8 - 316888615800165277/21697891182593863392*c_1001_10^12 + 951764631130772401/21697891182593863392*c_1001_10^11 - 2300642522955259859/3616315197098977232*c_1001_10^10 + 62994618040570062295/10848945591296931696*c_1001_10^9 - 539973330024479384569/21697891182593863392*c_1001_10^8 + 542411967697686396227/10848945591296931696*c_1001_10^7 - 570228070707428257105/10848945591296931696*c_1001_10^6 + 820408817409166681763/21697891182593863392*c_1001_10^5 - 269522842533497879219/10848945591296931696*c_1001_10^4 + 47282426938582404349/5424472795648465848*c_1001_10^3 + 2491751304116565754/678059099456058231*c_1001_10^2 - 3880208581586539841/1356118198912116462*c_1001_10 - 1007497591169636821/678059099456058231, c_0101_0 + 57457167674100067/10848945591296931696*c_1001_10^12 - 75849016899047875/10848945591296931696*c_1001_10^11 + 198740955380022929/904078799274744308*c_1001_10^10 - 2357678908594838611/1356118198912116462*c_1001_10^9 + 66570056689112397343/10848945591296931696*c_1001_10^8 - 44310550006016831069/5424472795648465848*c_1001_10^7 + 4664991878798780102/678059099456058231*c_1001_10^6 - 56671026699771517373/10848945591296931696*c_1001_10^5 + 16962993482331737201/5424472795648465848*c_1001_10^4 - 3841371818840729117/5424472795648465848*c_1001_10^3 + 100355393028854447/1356118198912116462*c_1001_10^2 - 1621212730355916047/1356118198912116462*c_1001_10 - 61439215568408077/678059099456058231, c_0101_1 - 242932389927022709/10848945591296931696*c_1001_10^12 + 281530344604569943/5424472795648465848*c_1001_10^11 - 3460120807666764571/3616315197098977232*c_1001_10^10 + 44894655951639312269/5424472795648465848*c_1001_10^9 - 360087716055446861327/10848945591296931696*c_1001_10^8 + 648428459118264945083/10848945591296931696*c_1001_10^7 - 333467357847614751239/5424472795648465848*c_1001_10^6 + 533419555938397645981/10848945591296931696*c_1001_10^5 - 366702400952373134045/10848945591296931696*c_1001_10^4 + 34182350327242308059/2712236397824232924*c_1001_10^3 + 5970270608740518349/2712236397824232924*c_1001_10^2 - 2443648877797365851/1356118198912116462*c_1001_10 - 618492882708582430/678059099456058231, c_0101_2 - 48038762648938645/10848945591296931696*c_1001_10^12 + 21576804280080983/1356118198912116462*c_1001_10^11 - 707669736095538239/3616315197098977232*c_1001_10^10 + 5064355478921661899/2712236397824232924*c_1001_10^9 - 90865267133788560523/10848945591296931696*c_1001_10^8 + 194639691581275364401/10848945591296931696*c_1001_10^7 - 51508604985244733597/2712236397824232924*c_1001_10^6 + 143418321292213493753/10848945591296931696*c_1001_10^5 - 99058410215500594495/10848945591296931696*c_1001_10^4 + 23389307452969666523/5424472795648465848*c_1001_10^3 - 201112594988612845/2712236397824232924*c_1001_10^2 - 851109655523815819/1356118198912116462*c_1001_10 - 866363209464440966/678059099456058231, c_0101_9 - 599034678712935779/21697891182593863392*c_1001_10^12 + 1227723334573488911/21697891182593863392*c_1001_10^11 - 4203454901238357631/3616315197098977232*c_1001_10^10 + 107204554711773303035/10848945591296931696*c_1001_10^9 - 828203320267479184487/21697891182593863392*c_1001_10^8 + 677248382920749430033/10848945591296931696*c_1001_10^7 - 584673847894060577333/10848945591296931696*c_1001_10^6 + 719913416577068266573/21697891182593863392*c_1001_10^5 - 180552522892461820033/10848945591296931696*c_1001_10^4 + 45129878649703300/678059099456058231*c_1001_10^3 + 13277309315288070949/1356118198912116462*c_1001_10^2 - 1534441613307344225/678059099456058231*c_1001_10 - 1442105627848269974/678059099456058231, c_1001_10^13 - 3*c_1001_10^12 + 44*c_1001_10^11 - 398*c_1001_10^10 + 1721*c_1001_10^9 - 3564*c_1001_10^8 + 4090*c_1001_10^7 - 3171*c_1001_10^6 + 2024*c_1001_10^5 - 828*c_1001_10^4 - 192*c_1001_10^3 + 288*c_1001_10^2 + 64*c_1001_10 - 64 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.630 Total time: 0.840 seconds, Total memory usage: 32.09MB