Magma V2.19-8 Wed Aug 21 2013 01:05:25 on localhost [Seed = 3549809503] Type ? for help. Type -D to quit. Loading file "L14n25896__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n25896 geometric_solution 12.02019403 oriented_manifold CS_known -0.0000000000000000 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 1 0 1 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 0 0 0 0 -1 1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.647478498258 1.085431540835 0 5 6 3 0132 0132 0132 2031 1 1 1 0 0 -1 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 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.594664744458 0.679503137419 5 0 8 7 3201 0132 0132 0132 1 0 1 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 -1 0 1 0 0 -1 0 -1 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.281709122823 1.081803614328 3 1 3 0 2031 1302 1302 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.449719792485 0.360911117991 5 6 0 5 0321 1023 0132 3012 1 1 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 -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 0.462670831633 1.012386168329 4 1 4 2 0321 0132 1230 2310 1 0 0 1 0 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 0 0 0 0 1 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.409035760913 0.770667536918 4 9 10 1 1023 0132 0132 0132 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 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 0.425971698909 0.641547509683 11 10 2 12 0132 1230 0132 0132 1 0 1 1 0 0 0 0 1 0 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 0 0 -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 0.152680327881 0.550469855268 9 10 12 2 0321 1023 0132 0132 1 0 0 1 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 1 0 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.340209289445 0.877253361035 8 6 11 11 0321 0132 2031 3012 1 1 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 -1 0 1 -1 0 0 1 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.615719857556 0.990893126663 8 12 7 6 1023 3012 3012 0132 1 1 0 1 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 0 0 0 0 0 -1 1 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 0.555384263781 0.532524120907 7 12 9 9 0132 0132 1230 1302 1 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 -1 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 0.615719857556 0.990893126663 10 11 7 8 1230 0132 0132 0132 1 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 0 0 0 0 0 0 0 -1.298768158406 1.040694963617 ==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_11'], 'c_1001_12' : d['c_0101_10'], 'c_1001_5' : d['c_0011_3'], 'c_1001_4' : d['c_0101_6'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : negation(d['c_0101_11']), 'c_1001_1' : negation(d['c_0101_7']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0101_0'], 'c_1001_2' : d['c_0101_6'], 'c_1001_9' : negation(d['c_0101_7']), 'c_1001_8' : d['c_0101_10'], 'c_1010_12' : d['c_0101_10'], 'c_1010_11' : d['c_0101_10'], 'c_1010_10' : negation(d['c_0101_11']), 's_0_10' : d['1'], 's_3_10' : 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_11'], '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_11'], 'c_1100_8' : d['c_1100_12'], 'c_0011_12' : negation(d['c_0011_11']), 'c_1100_5' : negation(d['c_0011_0']), 'c_1100_4' : negation(d['c_0011_3']), 'c_1100_7' : d['c_1100_12'], 'c_1100_6' : negation(d['c_1001_0']), 'c_1100_1' : negation(d['c_1001_0']), 'c_1100_0' : negation(d['c_0011_3']), 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : d['c_1100_12'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0011_10']), 'c_1100_10' : negation(d['c_1001_0']), 's_0_11' : d['1'], 'c_1010_7' : d['c_0101_10'], 'c_1010_6' : negation(d['c_0101_7']), 'c_1010_5' : negation(d['c_0101_7']), 'c_1010_4' : d['c_0101_1'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0011_3'], 'c_1010_0' : d['c_0101_6'], 'c_1010_9' : negation(d['c_0101_11']), 'c_1010_8' : d['c_0101_6'], '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_1100_12'], '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_4']), 'c_0011_8' : d['c_0011_10'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_11']), 'c_0011_6' : d['c_0011_4'], '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_7'], 'c_0110_10' : d['c_0101_6'], 'c_0110_12' : d['c_0011_10'], 'c_0101_12' : d['c_0101_11'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0101_1']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_3']), 'c_0101_2' : d['c_0011_4'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_10']), 'c_0101_8' : d['c_0011_10'], 'c_0011_10' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_10']), 'c_0110_8' : d['c_0011_4'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0101_10']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : negation(d['c_0011_4']), 'c_0110_4' : negation(d['c_0011_0']), 'c_0110_7' : d['c_0101_11'], '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_11, c_0011_3, c_0011_4, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_6, c_0101_7, c_1001_0, c_1100_12 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t + 2132916733970221141/1201702909243313*c_1100_12^14 + 7576944597960204814/1201702909243313*c_1100_12^13 - 20573905487606655137/1201702909243313*c_1100_12^12 - 97826297694133954984/1201702909243313*c_1100_12^11 + 153823158646824994354/1201702909243313*c_1100_12^10 + 582528959473652818612/1201702909243313*c_1100_12^9 - 159829812786678673132/1201702909243313*c_1100_12^8 - 979836552161508114616/1201702909243313*c_1100_12^7 + 67441946105906433468/1201702909243313*c_1100_12^6 + 764143489279068427432/1201702909243313*c_1100_12^5 + 46149303597878817823/1201702909243313*c_1100_12^4 - 224948940831119287106/1201702909243313*c_1100_12^3 - 30891358865796458911/1201702909243313*c_1100_12^2 - 1109636602808771520/1201702909243313*c_1100_12 - 4341423176816961269/1201702909243313, c_0011_0 - 1, c_0011_10 + 45308060767537/1201702909243313*c_1100_12^14 + 104857100505103/1201702909243313*c_1100_12^13 - 599036672923712/1201702909243313*c_1100_12^12 - 1418701821942182/1201702909243313*c_1100_12^11 + 5454649861478909/1201702909243313*c_1100_12^10 + 6822714569278500/1201702909243313*c_1100_12^9 - 15645633026637659/1201702909243313*c_1100_12^8 - 8312216751164275/1201702909243313*c_1100_12^7 + 22742805983388006/1201702909243313*c_1100_12^6 + 2842433384647053/1201702909243313*c_1100_12^5 - 14911425508845976/1201702909243313*c_1100_12^4 + 279765711505556/1201702909243313*c_1100_12^3 + 3541977603298088/1201702909243313*c_1100_12^2 + 2246257594352843/1201702909243313*c_1100_12 + 277055526371557/1201702909243313, c_0011_11 - 298457609500545/2403405818486626*c_1100_12^14 - 979121067869869/2403405818486626*c_1100_12^13 + 1505555152333035/1201702909243313*c_1100_12^12 + 6173586654493474/1201702909243313*c_1100_12^11 - 23834823355375579/2403405818486626*c_1100_12^10 - 34369988779382499/1201702909243313*c_1100_12^9 + 17083979806207091/1201702909243313*c_1100_12^8 + 45745513593500893/1201702909243313*c_1100_12^7 - 20571373728469581/1201702909243313*c_1100_12^6 - 26010966333759243/1201702909243313*c_1100_12^5 + 21055602133567867/2403405818486626*c_1100_12^4 + 2582405544405765/2403405818486626*c_1100_12^3 - 9257064584546243/2403405818486626*c_1100_12^2 - 154802888141602/1201702909243313*c_1100_12 + 593897849245515/1201702909243313, c_0011_3 - 489998404371799/2403405818486626*c_1100_12^14 - 1568925115071617/2403405818486626*c_1100_12^13 + 2625254841907329/1201702909243313*c_1100_12^12 + 10289698170121181/1201702909243313*c_1100_12^11 - 21096160365530681/1201702909243313*c_1100_12^10 - 59143110344546000/1201702909243313*c_1100_12^9 + 74844567642972577/2403405818486626*c_1100_12^8 + 97709896295135201/1201702909243313*c_1100_12^7 - 36927268074889241/1201702909243313*c_1100_12^6 - 145131656976323255/2403405818486626*c_1100_12^5 + 12307120075200167/1201702909243313*c_1100_12^4 + 40869725258412631/2403405818486626*c_1100_12^3 + 5001722992247615/2403405818486626*c_1100_12^2 - 282575713120275/2403405818486626*c_1100_12 - 621775365725552/1201702909243313, c_0011_4 + 352776492000787/1201702909243313*c_1100_12^14 + 1265817344062897/1201702909243313*c_1100_12^13 - 3261788918513672/1201702909243313*c_1100_12^12 - 15971438816705888/1201702909243313*c_1100_12^11 + 23929082742971500/1201702909243313*c_1100_12^10 + 93104405014967468/1201702909243313*c_1100_12^9 - 15765862776135816/1201702909243313*c_1100_12^8 - 139350088567146588/1201702909243313*c_1100_12^7 - 3578468081878213/1201702909243313*c_1100_12^6 + 94259993549523215/1201702909243313*c_1100_12^5 + 24073867391309107/1201702909243313*c_1100_12^4 - 17221791477036317/1201702909243313*c_1100_12^3 - 13389486019188968/1201702909243313*c_1100_12^2 - 2744946322915294/1201702909243313*c_1100_12 + 178468908040920/1201702909243313, c_0101_0 - 1, c_0101_1 + 1, c_0101_10 + 58560469129202/1201702909243313*c_1100_12^14 + 162244073533266/1201702909243313*c_1100_12^13 - 1315093536134269/2403405818486626*c_1100_12^12 - 2006983596738887/1201702909243313*c_1100_12^11 + 5653309966772426/1201702909243313*c_1100_12^10 + 19468945226236301/2403405818486626*c_1100_12^9 - 23548041927687677/2403405818486626*c_1100_12^8 - 6936648664021059/1201702909243313*c_1100_12^7 + 36092218889324839/2403405818486626*c_1100_12^6 - 4926020285403225/2403405818486626*c_1100_12^5 - 11236659102944713/1201702909243313*c_1100_12^4 + 6622141065625336/1201702909243313*c_1100_12^3 + 4094746512526423/1201702909243313*c_1100_12^2 - 344510453703461/2403405818486626*c_1100_12 - 559590805130321/2403405818486626, c_0101_11 + c_1100_12, c_0101_6 + 227851411369294/1201702909243313*c_1100_12^14 + 725633795039716/1201702909243313*c_1100_12^13 - 2429530424202837/1201702909243313*c_1100_12^12 - 9418292525287547/1201702909243313*c_1100_12^11 + 19637587032454287/1201702909243313*c_1100_12^10 + 53389871789574218/1201702909243313*c_1100_12^9 - 35046423321764911/1201702909243313*c_1100_12^8 - 82733026081170108/1201702909243313*c_1100_12^7 + 40228936596809046/1201702909243313*c_1100_12^6 + 58864622838137530/1201702909243313*c_1100_12^5 - 19455308923341859/1201702909243313*c_1100_12^4 - 16427273311119899/1201702909243313*c_1100_12^3 + 3145108655100629/1201702909243313*c_1100_12^2 + 1420957478110116/1201702909243313*c_1100_12 + 315007294344622/1201702909243313, c_0101_7 - 227851411369294/1201702909243313*c_1100_12^14 - 725633795039716/1201702909243313*c_1100_12^13 + 2429530424202837/1201702909243313*c_1100_12^12 + 9418292525287547/1201702909243313*c_1100_12^11 - 19637587032454287/1201702909243313*c_1100_12^10 - 53389871789574218/1201702909243313*c_1100_12^9 + 35046423321764911/1201702909243313*c_1100_12^8 + 82733026081170108/1201702909243313*c_1100_12^7 - 40228936596809046/1201702909243313*c_1100_12^6 - 58864622838137530/1201702909243313*c_1100_12^5 + 19455308923341859/1201702909243313*c_1100_12^4 + 16427273311119899/1201702909243313*c_1100_12^3 - 3145108655100629/1201702909243313*c_1100_12^2 - 1420957478110116/1201702909243313*c_1100_12 - 315007294344622/1201702909243313, c_1001_0 + 34295581633211/2403405818486626*c_1100_12^14 + 117657524992185/2403405818486626*c_1100_12^13 - 195724417704492/1201702909243313*c_1100_12^12 - 871405644833634/1201702909243313*c_1100_12^11 + 1458573333076394/1201702909243313*c_1100_12^10 + 5753238554971782/1201702909243313*c_1100_12^9 - 4751720999442755/2403405818486626*c_1100_12^8 - 14976870213965093/1201702909243313*c_1100_12^7 - 3301668521919805/1201702909243313*c_1100_12^6 + 27402411300048195/2403405818486626*c_1100_12^5 + 7148188848141692/1201702909243313*c_1100_12^4 - 8015178636172833/2403405818486626*c_1100_12^3 - 11291940302448873/2403405818486626*c_1100_12^2 - 2559339243099957/2403405818486626*c_1100_12 + 306768071380930/1201702909243313, c_1100_12^15 + 4*c_1100_12^14 - 8*c_1100_12^13 - 50*c_1100_12^12 + 51*c_1100_12^11 + 303*c_1100_12^10 + 52*c_1100_12^9 - 479*c_1100_12^8 - 182*c_1100_12^7 + 349*c_1100_12^6 + 190*c_1100_12^5 - 78*c_1100_12^4 - 65*c_1100_12^3 - 12*c_1100_12^2 - 2*c_1100_12 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.340 Total time: 0.550 seconds, Total memory usage: 32.09MB