Magma V2.19-8 Tue Aug 20 2013 23:55:26 on localhost [Seed = 2732903167] Type ? for help. Type -D to quit. Loading file "L14a21800__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L14a21800 geometric_solution 10.30985262 oriented_manifold CS_known -0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 2 0132 0132 0132 1230 1 1 0 1 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 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 0.488080119599 1.252740829258 0 4 4 5 0132 0132 1302 0132 1 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 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 -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 0.729981723250 0.693047936901 0 0 6 6 3012 0132 3012 0132 1 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 0 0 0 0 -1 1 0 -1 0 0 1 1 0 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.279520507233 0.684026476470 7 8 7 0 0132 0132 2310 0132 1 1 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 0 0 0 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 0 0 0 0 0 0 0 0.642715523416 0.431893902599 1 1 9 9 2031 0132 0132 1230 1 1 0 1 0 0 -1 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 0 2 -2 -1 0 2 -1 -1 0 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.279520507233 0.684026476470 10 10 1 11 0132 3201 0132 0132 1 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 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 1.137180321576 1.374650395506 8 2 2 8 0213 1230 0132 3012 1 1 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 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 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 0.729981723250 0.693047936901 3 3 10 10 0132 3201 0132 3201 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 0.487214497011 0.152167000218 6 3 6 11 0213 0132 1230 3201 1 0 1 1 0 -1 0 1 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 2 0 -2 0 0 1 -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 0.488080119599 1.252740829258 4 11 11 4 3012 3012 0132 0132 1 1 1 0 0 -1 0 1 -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 2 0 -2 2 0 0 -2 1 0 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.729981723250 0.693047936901 5 7 5 7 0132 2310 2310 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 -0.870069979572 0.584060902817 9 8 5 9 1230 2310 0132 0132 1 1 0 1 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 -1 1 0 0 0 0 0 -1 1 0 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.729981723250 0.693047936901 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_1001_10']), 'c_1001_10' : d['c_1001_10'], 'c_1001_5' : negation(d['c_0101_10']), 'c_1001_4' : negation(d['c_0101_10']), 'c_1001_7' : negation(d['c_0101_3']), 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : d['c_0011_9'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_10'], 'c_1001_2' : negation(d['c_0011_6']), 'c_1001_9' : negation(d['c_0011_11']), 'c_1001_8' : d['c_1001_0'], 'c_1010_11' : negation(d['c_0011_11']), 'c_1010_10' : negation(d['c_0101_3']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_10'], '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_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' : negation(d['c_0011_11']), 'c_1100_5' : d['c_0101_4'], 'c_1100_4' : d['c_0101_4'], 'c_1100_7' : negation(d['c_0011_10']), 'c_1100_6' : negation(d['c_1001_0']), 'c_1100_1' : d['c_0101_4'], 'c_1100_0' : negation(d['c_0011_3']), 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : negation(d['c_1001_0']), 's_3_11' : d['1'], 'c_1100_11' : d['c_0101_4'], 'c_1100_10' : negation(d['c_0011_10']), 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_1001_10']), 'c_1010_6' : negation(d['c_0011_6']), 'c_1010_5' : negation(d['c_1001_10']), 'c_1010_4' : d['c_0011_9'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0101_10']), 'c_1010_0' : negation(d['c_0011_6']), 'c_1010_9' : negation(d['c_0101_10']), 'c_1010_8' : d['c_1001_10'], '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'], '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_9'], 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_3']), '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_11' : d['c_0011_9'], 'c_0110_10' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_0']), 'c_0101_7' : d['c_0101_0'], 'c_0101_6' : negation(d['c_0011_3']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_6']), 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_9'], 'c_0101_8' : d['c_0011_6'], 'c_0011_10' : d['c_0011_10'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_4'], 'c_0110_8' : d['c_0011_11'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_0101_4'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_3']), 'c_0110_5' : d['c_0101_10'], 'c_0110_4' : d['c_0011_9'], 'c_0110_7' : d['c_0101_3'], 'c_0110_6' : negation(d['c_0011_11'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_3, c_0011_6, c_0011_9, c_0101_0, c_0101_10, c_0101_3, c_0101_4, c_1001_0, c_1001_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t - 3016292/90425*c_1001_0^6 - 1307997/18085*c_1001_0^5 + 1617018/18085*c_1001_0^4 - 21053186/90425*c_1001_0^3 + 1656376/90425*c_1001_0^2 + 4003199/90425*c_1001_0 - 3171203/90425, c_0011_0 - 1, c_0011_10 - 10868/3617*c_1001_0^6 - 22725/3617*c_1001_0^5 + 30730/3617*c_1001_0^4 - 77417/3617*c_1001_0^3 + 15214/3617*c_1001_0^2 + 9458/3617*c_1001_0 - 5492/3617, c_0011_11 - 1, c_0011_3 - 1800/3617*c_1001_0^6 - 4914/3617*c_1001_0^5 + 2720/3617*c_1001_0^4 - 10121/3617*c_1001_0^3 - 7607/3617*c_1001_0^2 + 6122/3617*c_1001_0 - 871/3617, c_0011_6 - 1800/3617*c_1001_0^6 - 4914/3617*c_1001_0^5 + 2720/3617*c_1001_0^4 - 10121/3617*c_1001_0^3 - 7607/3617*c_1001_0^2 + 2505/3617*c_1001_0 - 871/3617, c_0011_9 + 1800/3617*c_1001_0^6 + 4914/3617*c_1001_0^5 - 2720/3617*c_1001_0^4 + 10121/3617*c_1001_0^3 + 7607/3617*c_1001_0^2 - 2505/3617*c_1001_0 + 871/3617, c_0101_0 - 1, c_0101_10 + 1800/3617*c_1001_0^6 + 4914/3617*c_1001_0^5 - 2720/3617*c_1001_0^4 + 10121/3617*c_1001_0^3 + 7607/3617*c_1001_0^2 - 6122/3617*c_1001_0 + 871/3617, c_0101_3 + 10868/3617*c_1001_0^6 + 22725/3617*c_1001_0^5 - 30730/3617*c_1001_0^4 + 77417/3617*c_1001_0^3 - 15214/3617*c_1001_0^2 - 9458/3617*c_1001_0 + 5492/3617, c_0101_4 + c_1001_0, c_1001_0^7 + 9/4*c_1001_0^6 - 5/2*c_1001_0^5 + 27/4*c_1001_0^4 - 5/4*c_1001_0^2 + 3/4*c_1001_0 + 1/4, c_1001_10 - 1 ], Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_3, c_0011_6, c_0011_9, c_0101_0, c_0101_10, c_0101_3, c_0101_4, c_1001_0, c_1001_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 167029718812436/3937881892945*c_1001_0^11 - 719528688559407/3937881892945*c_1001_0^10 + 5238742747648307/3937881892945*c_1001_0^9 - 2023417801126056/562554556135*c_1001_0^8 + 13064284472500818/3937881892945*c_1001_0^7 + 254280438279768/112510911227*c_1001_0^6 - 14871714537204457/3937881892945*c_1001_0^5 + 1855147123627/2223535795*c_1001_0^4 + 6879116812507008/3937881892945*c_1001_0^3 - 3460153343594984/3937881892945*c_1001_0^2 + 1346101374441/112510911227*c_1001_0 + 464076301005029/3937881892945, c_0011_0 - 1, c_0011_10 - 808506632/786789589*c_1001_0^11 + 3551701392/786789589*c_1001_0^10 - 25546961726/786789589*c_1001_0^9 + 70364934311/786789589*c_1001_0^8 - 66117723530/786789589*c_1001_0^7 - 43616571191/786789589*c_1001_0^6 + 76427007535/786789589*c_1001_0^5 - 533111197/34208243*c_1001_0^4 - 31461952604/786789589*c_1001_0^3 + 14070992731/786789589*c_1001_0^2 + 1416110812/786789589*c_1001_0 - 1079871386/786789589, c_0011_11 - 1, c_0011_3 - 87530540/786789589*c_1001_0^11 + 311963562/786789589*c_1001_0^10 - 2481953089/786789589*c_1001_0^9 + 5447410128/786789589*c_1001_0^8 - 1843323439/786789589*c_1001_0^7 - 8484086008/786789589*c_1001_0^6 + 3245785581/786789589*c_1001_0^5 + 142213487/34208243*c_1001_0^4 - 3941114238/786789589*c_1001_0^3 - 1796447082/786789589*c_1001_0^2 + 1676722086/786789589*c_1001_0 - 120738605/786789589, c_0011_6 - 87530540/786789589*c_1001_0^11 + 311963562/786789589*c_1001_0^10 - 2481953089/786789589*c_1001_0^9 + 5447410128/786789589*c_1001_0^8 - 1843323439/786789589*c_1001_0^7 - 8484086008/786789589*c_1001_0^6 + 3245785581/786789589*c_1001_0^5 + 142213487/34208243*c_1001_0^4 - 3941114238/786789589*c_1001_0^3 - 1796447082/786789589*c_1001_0^2 + 889932497/786789589*c_1001_0 - 120738605/786789589, c_0011_9 - 2320398878/786789589*c_1001_0^11 + 9935747974/786789589*c_1001_0^10 - 72550033340/786789589*c_1001_0^9 + 195018515147/786789589*c_1001_0^8 - 177404239659/786789589*c_1001_0^7 - 125594052782/786789589*c_1001_0^6 + 200252079172/786789589*c_1001_0^5 - 1740760987/34208243*c_1001_0^4 - 96126830366/786789589*c_1001_0^3 + 44613675169/786789589*c_1001_0^2 + 167520700/786789589*c_1001_0 - 6985218822/786789589, c_0101_0 - 1, c_0101_10 - 885498219/786789589*c_1001_0^11 + 3751873020/786789589*c_1001_0^10 - 27563277995/786789589*c_1001_0^9 + 73306913214/786789589*c_1001_0^8 - 65516863243/786789589*c_1001_0^7 - 49342225447/786789589*c_1001_0^6 + 77075884166/786789589*c_1001_0^5 - 899324180/34208243*c_1001_0^4 - 35186987775/786789589*c_1001_0^3 + 17147393410/786789589*c_1001_0^2 - 353214408/786789589*c_1001_0 - 3296361701/786789589, c_0101_3 + 611728509/786789589*c_1001_0^11 - 2523231232/786789589*c_1001_0^10 + 18639781492/786789589*c_1001_0^9 - 48114398919/786789589*c_1001_0^8 + 36439622161/786789589*c_1001_0^7 + 45974995104/786789589*c_1001_0^6 - 51730858424/786789589*c_1001_0^5 - 91863699/34208243*c_1001_0^4 + 30670461385/786789589*c_1001_0^3 - 9100421287/786789589*c_1001_0^2 - 2940872540/786789589*c_1001_0 + 1332101968/786789589, c_0101_4 - 1434900659/786789589*c_1001_0^11 + 6183874954/786789589*c_1001_0^10 - 44986755345/786789589*c_1001_0^9 + 121711601933/786789589*c_1001_0^8 - 111887376416/786789589*c_1001_0^7 - 76251827335/786789589*c_1001_0^6 + 123176195006/786789589*c_1001_0^5 - 841436807/34208243*c_1001_0^4 - 60939842591/786789589*c_1001_0^3 + 27466281759/786789589*c_1001_0^2 + 520735108/786789589*c_1001_0 - 3688857121/786789589, c_1001_0^12 - 4*c_1001_0^11 + 30*c_1001_0^10 - 75*c_1001_0^9 + 51*c_1001_0^8 + 80*c_1001_0^7 - 74*c_1001_0^6 - 11*c_1001_0^5 + 49*c_1001_0^4 - 7*c_1001_0^3 - 7*c_1001_0^2 + 3*c_1001_0 + 1, c_1001_10 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.060 Total time: 0.270 seconds, Total memory usage: 32.09MB