Magma V2.19-8 Wed Aug 21 2013 00:31:36 on localhost [Seed = 2260768282] Type ? for help. Type -D to quit. Loading file "K14n18372__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K14n18372 geometric_solution 11.88785672 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 13 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 0 1 -1 -1 0 -18 19 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.752627637262 1.197763198271 0 5 7 6 0132 0132 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 -18 18 1 0 -1 0 1 -1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.889399136279 1.095099939065 8 0 7 9 0132 0132 2103 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.383978227355 0.387338706636 10 5 8 0 0132 3012 3012 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 0 0 -18 18 0 1 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.465943336825 0.501791432389 10 7 0 11 3120 2103 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 1 0 0 0 -19 19 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.472657556610 0.520222489360 3 1 12 7 1230 0132 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 -19 19 -1 0 0 1 -1 1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.383521189461 0.651529845616 9 12 1 8 0132 0132 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 -18 18 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.649618202797 0.428122379856 2 4 5 1 2103 2103 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 1 -19 18 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 -0.021747904801 0.869545076670 2 3 6 11 0132 1230 0132 1230 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 18 -18 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.621828753647 0.950132938793 6 12 2 10 0132 3012 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.051830611548 0.926272025533 3 11 9 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 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 0.486244556717 0.635010060277 8 10 4 12 3012 0132 0132 3012 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 -19 19 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.860445682417 1.429458057556 9 6 11 5 1230 0132 1230 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 -19 19 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.210706638828 0.736938845378 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_4']), 'c_1001_10' : negation(d['c_0101_12']), 'c_1001_12' : d['c_1001_12'], 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : d['c_0011_7'], 'c_1001_7' : d['c_0011_4'], 'c_1001_6' : d['c_1001_5'], 'c_1001_1' : d['c_0011_4'], 'c_1001_0' : negation(d['c_0011_12']), 'c_1001_3' : negation(d['c_0011_0']), 'c_1001_2' : d['c_0011_7'], 'c_1001_9' : negation(d['c_0011_12']), 'c_1001_8' : d['c_1001_12'], 'c_1010_12' : d['c_1001_5'], 'c_1010_11' : negation(d['c_0101_12']), 'c_1010_10' : negation(d['c_0011_4']), 's_3_11' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 'c_0101_12' : d['c_0101_12'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_0'], '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' : negation(d['c_0011_10']), 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0110_11'], 'c_1100_4' : negation(d['c_1001_12']), 'c_1100_7' : d['c_0110_11'], 'c_1100_6' : d['c_0110_11'], 'c_1100_1' : d['c_0110_11'], 'c_1100_0' : negation(d['c_1001_12']), 'c_1100_3' : negation(d['c_1001_12']), 'c_1100_2' : negation(d['c_0101_1']), 's_0_10' : d['1'], 'c_1100_11' : negation(d['c_1001_12']), 'c_1100_10' : negation(d['c_0101_1']), 's_0_11' : d['1'], 'c_1010_7' : d['c_0011_4'], 'c_1010_6' : d['c_1001_12'], 'c_1010_5' : d['c_0011_4'], 'c_1010_4' : negation(d['c_0011_4']), 'c_1010_3' : negation(d['c_0011_12']), 'c_1010_2' : negation(d['c_0011_12']), 'c_1010_1' : d['c_1001_5'], 'c_1010_0' : d['c_0011_7'], 'c_1010_9' : negation(d['c_0101_12']), 'c_1010_8' : d['c_0101_11'], 'c_1100_8' : d['c_0110_11'], '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_0110_11'], '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_12'], 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : negation(d['c_0011_12']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0110_11'], 'c_0110_10' : d['c_0101_11'], 'c_0110_12' : d['c_0011_12'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : negation(d['c_0011_10']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0011_12'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_11'], 'c_0101_2' : negation(d['c_0011_10']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_8'], 'c_0101_8' : d['c_0101_8'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_0'], 'c_0110_8' : negation(d['c_0011_10']), 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0101_1']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_8'], 'c_0110_5' : negation(d['c_0011_10']), 'c_0110_4' : d['c_0101_11'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0101_8'], 's_2_9' : d['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_12, c_0011_4, c_0011_7, c_0101_0, c_0101_1, c_0101_11, c_0101_12, c_0101_8, c_0110_11, c_1001_12, c_1001_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t - 50682714613131397/1297212560065593*c_1001_5^12 + 19943416757724133/144134728896177*c_1001_5^11 + 578767200190251176/1297212560065593*c_1001_5^10 - 2881777831946132968/1297212560065593*c_1001_5^9 + 59160041300253746/432404186688531*c_1001_5^8 + 3262030471724153825/432404186688531*c_1001_5^7 - 4975570822168106183/1297212560065593*c_1001_5^6 - 14193269248739434406/1297212560065593*c_1001_5^5 + 2434195313476884499/432404186688531*c_1001_5^4 + 14925291968434930820/1297212560065593*c_1001_5^3 - 2085447966504101084/1297212560065593*c_1001_5^2 - 7511917470295065977/1297212560065593*c_1001_5 - 708441333140010049/1297212560065593, c_0011_0 - 1, c_0011_10 + 106953796664/314019017203*c_1001_5^12 - 231781002639/314019017203*c_1001_5^11 - 1456289383848/314019017203*c_1001_5^10 + 3979182525114/314019017203*c_1001_5^9 + 3908571836486/314019017203*c_1001_5^8 - 13373154434049/314019017203*c_1001_5^7 - 3652792612050/314019017203*c_1001_5^6 + 19655615381438/314019017203*c_1001_5^5 + 5624023380154/314019017203*c_1001_5^4 - 16356220460952/314019017203*c_1001_5^3 - 8627587760807/314019017203*c_1001_5^2 + 2262246374781/314019017203*c_1001_5 + 663174820203/314019017203, c_0011_12 - 11221638268/314019017203*c_1001_5^12 + 8095918190/314019017203*c_1001_5^11 + 192638031202/314019017203*c_1001_5^10 - 214729511730/314019017203*c_1001_5^9 - 1057265237537/314019017203*c_1001_5^8 + 1074134649554/314019017203*c_1001_5^7 + 2274567616018/314019017203*c_1001_5^6 - 2134554390713/314019017203*c_1001_5^5 - 3061481153116/314019017203*c_1001_5^4 + 1523528872495/314019017203*c_1001_5^3 + 3022430184442/314019017203*c_1001_5^2 + 386467937708/314019017203*c_1001_5 - 301318627982/314019017203, c_0011_4 - 87151031159/314019017203*c_1001_5^12 + 188058998199/314019017203*c_1001_5^11 + 1190932068005/314019017203*c_1001_5^10 - 3237834222331/314019017203*c_1001_5^9 - 3248882032630/314019017203*c_1001_5^8 + 10976313113059/314019017203*c_1001_5^7 + 3156952478449/314019017203*c_1001_5^6 - 16401862137484/314019017203*c_1001_5^5 - 4789908059169/314019017203*c_1001_5^4 + 14087749541798/314019017203*c_1001_5^3 + 7165527020388/314019017203*c_1001_5^2 - 2286150236510/314019017203*c_1001_5 - 725942496184/314019017203, c_0011_7 - 115469462418/314019017203*c_1001_5^12 + 252734094158/314019017203*c_1001_5^11 + 1567254713175/314019017203*c_1001_5^10 - 4330319822547/314019017203*c_1001_5^9 - 4129649916016/314019017203*c_1001_5^8 + 14525025457259/314019017203*c_1001_5^7 + 3618914131731/314019017203*c_1001_5^6 - 21179570540398/314019017203*c_1001_5^5 - 5734575021586/314019017203*c_1001_5^4 + 17605733693217/314019017203*c_1001_5^3 + 9613767533846/314019017203*c_1001_5^2 - 2827090169102/314019017203*c_1001_5 - 958531178699/314019017203, c_0101_0 - 112927016/314019017203*c_1001_5^12 - 16331473842/314019017203*c_1001_5^11 + 41126347489/314019017203*c_1001_5^10 + 213620198294/314019017203*c_1001_5^9 - 666515120225/314019017203*c_1001_5^8 - 464565096446/314019017203*c_1001_5^7 + 2154152067367/314019017203*c_1001_5^6 + 219967685693/314019017203*c_1001_5^5 - 3045523219153/314019017203*c_1001_5^4 - 443938015154/314019017203*c_1001_5^3 + 2537855150649/314019017203*c_1001_5^2 + 861830753515/314019017203*c_1001_5 - 296652470219/314019017203, c_0101_1 + 22272601635/314019017203*c_1001_5^12 - 50135459740/314019017203*c_1001_5^11 - 298513461093/314019017203*c_1001_5^10 + 849749604640/314019017203*c_1001_5^9 + 739267453509/314019017203*c_1001_5^8 - 2788225258506/314019017203*c_1001_5^7 - 593647017386/314019017203*c_1001_5^6 + 3967582685988/314019017203*c_1001_5^5 + 1212797540539/314019017203*c_1001_5^4 - 3496297577049/314019017203*c_1001_5^3 - 2139366604482/314019017203*c_1001_5^2 + 884713672045/314019017203*c_1001_5 + 382507389655/314019017203, c_0101_11 + 52507756012/314019017203*c_1001_5^12 - 114207500158/314019017203*c_1001_5^11 - 710078136595/314019017203*c_1001_5^10 + 1954041113801/314019017203*c_1001_5^9 + 1841289707437/314019017203*c_1001_5^8 - 6470426468210/314019017203*c_1001_5^7 - 1482715700164/314019017203*c_1001_5^6 + 9197212357327/314019017203*c_1001_5^5 + 2455542941015/314019017203*c_1001_5^4 - 7541535141692/314019017203*c_1001_5^3 - 4230624174871/314019017203*c_1001_5^2 + 1210139787815/314019017203*c_1001_5 + 253235456718/314019017203, c_0101_12 + 84927350600/314019017203*c_1001_5^12 - 172199520039/314019017203*c_1001_5^11 - 1179856581778/314019017203*c_1001_5^10 + 2994881146426/314019017203*c_1001_5^9 + 3513110703250/314019017203*c_1001_5^8 - 10125221668816/314019017203*c_1001_5^7 - 4288558449964/314019017203*c_1001_5^6 + 15052659590641/314019017203*c_1001_5^5 + 6630744671763/314019017203*c_1001_5^4 - 12458503992387/314019017203*c_1001_5^3 - 8648891378935/314019017203*c_1001_5^2 + 1100463472894/314019017203*c_1001_5 + 815163169479/314019017203, c_0101_8 - 55407758951/314019017203*c_1001_5^12 + 134144334372/314019017203*c_1001_5^11 + 726457946876/314019017203*c_1001_5^10 - 2262400693352/314019017203*c_1001_5^9 - 1525478704057/314019017203*c_1001_5^8 + 7574857769739/314019017203*c_1001_5^7 + 78296728123/314019017203*c_1001_5^6 - 10925060553191/314019017203*c_1001_5^5 - 222034182893/314019017203*c_1001_5^4 + 9361480933263/314019017203*c_1001_5^3 + 2602638020147/314019017203*c_1001_5^2 - 2521859389739/314019017203*c_1001_5 - 235185198142/314019017203, c_0110_11 - 93922519755/314019017203*c_1001_5^12 + 197764307372/314019017203*c_1001_5^11 + 1296488554218/314019017203*c_1001_5^10 - 3433229894630/314019017203*c_1001_5^9 - 3696692389883/314019017203*c_1001_5^8 + 11797502045754/314019017203*c_1001_5^7 + 3812801185920/314019017203*c_1001_5^6 - 17742521670699/314019017203*c_1001_5^5 - 5434868768195/314019017203*c_1001_5^4 + 14943490455438/314019017203*c_1001_5^3 + 8103786739041/314019017203*c_1001_5^2 - 2420560799753/314019017203*c_1001_5 - 781463182151/314019017203, c_1001_12 + 87151031159/314019017203*c_1001_5^12 - 188058998199/314019017203*c_1001_5^11 - 1190932068005/314019017203*c_1001_5^10 + 3237834222331/314019017203*c_1001_5^9 + 3248882032630/314019017203*c_1001_5^8 - 10976313113059/314019017203*c_1001_5^7 - 3156952478449/314019017203*c_1001_5^6 + 16401862137484/314019017203*c_1001_5^5 + 4789908059169/314019017203*c_1001_5^4 - 14087749541798/314019017203*c_1001_5^3 - 7165527020388/314019017203*c_1001_5^2 + 2600169253713/314019017203*c_1001_5 + 725942496184/314019017203, c_1001_5^13 - 2*c_1001_5^12 - 14*c_1001_5^11 + 35*c_1001_5^10 + 43*c_1001_5^9 - 120*c_1001_5^8 - 55*c_1001_5^7 + 181*c_1001_5^6 + 83*c_1001_5^5 - 149*c_1001_5^4 - 108*c_1001_5^3 + 13*c_1001_5^2 + 12*c_1001_5 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 4.450 Total time: 4.669 seconds, Total memory usage: 131.84MB