Magma V2.19-8 Tue Aug 20 2013 23:54:21 on localhost [Seed = 2799750401] Type ? for help. Type -D to quit. Loading file "K12n514__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K12n514 geometric_solution 11.80672048 oriented_manifold CS_known -0.0000000000000004 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 0 0 0 0 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 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.297976454466 1.325134712417 0 5 2 4 0132 0132 1023 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.473821263669 0.354038501675 6 0 1 7 0132 0132 1023 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 0 0 0 0 -5 1 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.763228154669 1.207418424731 8 9 7 0 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 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.204780466114 0.503613065817 8 8 0 1 3120 1230 0132 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.352577857758 0.904867979998 10 1 11 12 0132 0132 0132 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 0 0 0 0 5 -1 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.679742436009 0.597332073337 2 10 9 12 0132 0132 3201 2031 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 5 0 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.285702980397 0.642893588287 11 10 2 3 1023 1302 0132 0132 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 -1 0 0 1 0 0 0 0 4 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.024798940693 1.293881089010 3 12 4 4 0132 1302 3012 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 1 0 -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 0.352577857758 0.904867979998 6 3 11 10 2310 0132 1302 1302 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 -1 1 0 5 0 0 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.573940678108 1.739095836493 5 6 9 7 0132 0132 2031 2031 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 -5 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.217524987333 1.351448398385 9 7 12 5 2031 1023 2103 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 1 -1 0 -1 0 1 0 0 0 0 0 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.470753437139 1.177846568432 11 6 5 8 2103 1302 0132 2031 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 -1 0 0 1 1 0 0 -1 -4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.291142056206 0.821133304646 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_12'], 'c_1001_10' : d['c_0011_12'], 'c_1001_12' : d['c_0101_2'], 'c_1001_5' : d['c_0101_3'], 'c_1001_4' : d['c_0101_1'], 'c_1001_7' : d['c_0101_5'], 'c_1001_6' : d['c_0011_11'], 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : d['c_0101_5'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_0101_1'], 'c_1001_9' : d['c_0101_5'], 'c_1001_8' : negation(d['c_0011_4']), 'c_1010_12' : negation(d['c_0011_3']), 'c_1010_11' : d['c_0101_3'], 'c_1010_10' : d['c_0011_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_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_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' : negation(d['c_0101_1']), 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0011_4'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_1100_0'], 'c_1100_6' : d['c_0011_3'], 'c_1100_1' : negation(d['c_1100_0']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_1100_0'], 's_3_11' : d['1'], 'c_1100_9' : d['c_0101_10'], 'c_1100_11' : d['c_0011_4'], 'c_1100_10' : negation(d['c_1001_3']), 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_3'], 'c_1010_6' : d['c_0011_12'], 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : d['c_0101_0'], 'c_1010_3' : d['c_0101_5'], 'c_1010_2' : d['c_0101_5'], 'c_1010_1' : d['c_0101_3'], 'c_1010_0' : d['c_0101_1'], 'c_1010_9' : d['c_1001_3'], 'c_1010_8' : negation(d['c_0011_4']), '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_0011_4'], '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_3']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_11'], 'c_0011_6' : d['c_0011_0'], '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_5'], 'c_0110_10' : d['c_0101_5'], 'c_0110_12' : negation(d['c_0011_4']), 'c_0101_12' : d['c_0101_10'], 'c_0101_7' : d['c_0011_12'], 'c_0101_6' : d['c_0011_12'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_11']), 'c_0101_8' : d['c_0101_0'], 'c_0011_10' : negation(d['c_0011_0']), 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_12']), 'c_0110_8' : d['c_0101_3'], '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_0011_12'], 'c_0110_5' : d['c_0101_10'], 'c_0110_4' : d['c_0101_3'], 'c_0110_7' : d['c_0101_3'], 'c_0110_6' : d['c_0101_2']})} 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_11, c_0011_12, c_0011_3, c_0011_4, c_0101_0, c_0101_1, c_0101_10, c_0101_2, c_0101_3, c_0101_5, c_1001_3, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t - 595791501393609487/172052029058936400*c_1100_0^12 - 1341892784629161791/57350676352978800*c_1100_0^11 + 920882805049611887/43013007264734100*c_1100_0^10 - 12939717596090115913/86026014529468200*c_1100_0^9 - 20416341757956156251/172052029058936400*c_1100_0^8 + 28641944145346005883/86026014529468200*c_1100_0^7 + 126606298536942941/800241995622960*c_1100_0^6 - 15833643893895594059/57350676352978800*c_1100_0^5 - 21943683938024953/118493132960700*c_1100_0^4 + 4972856699995109473/28675338176489400*c_1100_0^3 + 8904407638890178369/172052029058936400*c_1100_0^2 - 19215342776160618721/172052029058936400*c_1100_0 + 5564636060297622611/172052029058936400, c_0011_0 - 1, c_0011_11 - 153997975503/823294234180*c_1100_0^12 - 1147667112869/823294234180*c_1100_0^11 + 10241829063/41164711709*c_1100_0^10 - 619230522935/82329423418*c_1100_0^9 - 9820968791067/823294234180*c_1100_0^8 + 5123983198701/411647117090*c_1100_0^7 + 16234000603207/823294234180*c_1100_0^6 - 4765660152229/823294234180*c_1100_0^5 - 29605685612/1701021145*c_1100_0^4 + 334849026269/411647117090*c_1100_0^3 + 5361337035721/823294234180*c_1100_0^2 - 423690986405/164658846836*c_1100_0 - 40208600409/823294234180, c_0011_12 - 63718643079/823294234180*c_1100_0^12 - 50588372005/164658846836*c_1100_0^11 + 402994511703/205823558545*c_1100_0^10 - 1855783979287/411647117090*c_1100_0^9 + 5594814340997/823294234180*c_1100_0^8 + 6281030295479/411647117090*c_1100_0^7 - 11556543095881/823294234180*c_1100_0^6 - 16153511115041/823294234180*c_1100_0^5 + 3446147123/340204229*c_1100_0^4 + 8248514535169/411647117090*c_1100\ _0^3 - 5016212920867/823294234180*c_1100_0^2 - 6163188090489/823294234180*c_1100_0 + 4099229401051/823294234180, c_0011_3 + 22569833106/205823558545*c_1100_0^12 + 223681313211/205823558545*c_1100_0^11 + 351785366388/205823558545*c_1100_0^10 + 620184317694/205823558545*c_1100_0^9 + 3853945783016/205823558545*c_1100_0^8 + 578523548389/205823558545*c_1100_0^7 - 6947635924772/205823558545*c_1100_0^6 - 2846962740703/205823558545*c_1100_0^5 + 46836421227/1701021145*c_1100_0^4 + 791366550890/41164711709*c_1100_0^3 - 2594387489147/205823558545*c_1100_0^2 - 1011183289616/205823558545*c_1100_0 + 248136611782/41164711709, c_0011_4 + 32547881441/823294234180*c_1100_0^12 + 355039760671/823294234180*c_1100_0^11 + 181086752167/205823558545*c_1100_0^10 + 346169519277/411647117090*c_1100_0^9 + 7086000840121/823294234180*c_1100_0^8 + 902313812517/411647117090*c_1100_0^7 - 12479567762257/823294234180*c_1100_0^6 - 4813463556893/823294234180*c_1100_0^5 + 21751653018/1701021145*c_1100_0^4 + 665785583021/82329423418*c_1100_0^3 - 6335017167607/823294234180*c_1100_0^2 - 1626872696941/823294234180*c_1100_0 + 612636340175/164658846836, c_0101_0 - 7205132214/205823558545*c_1100_0^12 - 27454108688/205823558545*c_1100_0^11 + 184661521944/205823558545*c_1100_0^10 - 470140551468/205823558545*c_1100_0^9 + 133418073137/41164711709*c_1100_0^8 + 251698024090/41164711709*c_1100_0^7 - 1926679520408/205823558545*c_1100_0^6 - 316197978141/41164711709*c_1100_0^5 + 13819003814/1701021145*c_1100_0^4 + 2087122810657/205823558545*c_1100_0^3 - 964129567457/205823558545*c_1100_0^2 - 837692467203/205823558545*c_1100_0 + 612871932544/205823558545, c_0101_1 + 141115877097/823294234180*c_1100_0^12 + 933116057987/823294234180*c_1100_0^11 - 254126181086/205823558545*c_1100_0^10 + 3093891620439/411647117090*c_1100_0^9 + 3823878639297/823294234180*c_1100_0^8 - 7178323690621/411647117090*c_1100_0^7 - 5861793155969/823294234180*c_1100_0^6 + 12295138751959/823294234180*c_1100_0^5 + 17500883846/1701021145*c_1100_0^4 - 750109859359/82329423418*c_1100_0^3 - 2314807081779/823294234180*c_1100_0^2 + 4275862614803/823294234180*c_1100_0 - 247642371633/164658846836, c_0101_10 - 20983265389/411647117090*c_1100_0^12 - 100138251743/411647117090*c_1100_0^11 + 213569084252/205823558545*c_1100_0^10 - 523251298459/205823558545*c_1100_0^9 + 217595529447/82329423418*c_1100_0^8 + 407981156982/41164711709*c_1100_0^7 - 1821541437593/411647117090*c_1100_0^6 - 913059741829/82329423418*c_1100_0^5 + 2865934602/1701021145*c_1100_0^4 + 2107651853086/205823558545*c_1100_0^3 - 287076764847/411647117090*c_1100_0^2 - 1554316951993/411647117090*c_1100_0 + 904003486079/411647117090, c_0101_2 + 68387056901/205823558545*c_1100_0^12 + 443169916499/205823558545*c_1100_0^11 - 555658267079/205823558545*c_1100_0^10 + 3050668558573/205823558545*c_1100_0^9 + 1540431713738/205823558545*c_1100_0^8 - 7399758468253/205823558545*c_1100_0^7 - 324964336077/41164711709*c_1100_0^6 + 6962225086771/205823558545*c_1100_0^5 + 21886591948/1701021145*c_1100_0^4 - 4849765774984/205823558545*c_1100_0^3 - 462193015467/205823558545*c_1100_0^2 + 2694338040078/205823558545*c_1100_0 - 1035449002743/205823558545, c_0101_3 - 20428912269/41164711709*c_1100_0^12 - 674225211108/205823558545*c_1100_0^11 + 738138548342/205823558545*c_1100_0^10 - 4540904253349/205823558545*c_1100_0^9 - 2796237821482/205823558545*c_1100_0^8 + 10226728580192/205823558545*c_1100_0^7 + 3313402557023/205823558545*c_1100_0^6 - 9279706570279/205823558545*c_1100_0^5 - 36225953481/1701021145*c_1100_0^4 + 6869880698309/205823558545*c_1100_0^3 + 225872462401/41164711709*c_1100_0^2 - 3804060874754/205823558545*c_1100_0 + 1057127903743/205823558545, c_0101_5 + 293799932567/823294234180*c_1100_0^12 + 1958338684293/823294234180*c_1100_0^11 - 492653844967/205823558545*c_1100_0^10 + 6522166260653/411647117090*c_1100_0^9 + 8360631994731/823294234180*c_1100_0^8 - 13574290337403/411647117090*c_1100_0^7 - 2718622238427/164658846836*c_1100_0^6 + 24010111168217/823294234180*c_1100_0^5 + 35956306859/1701021145*c_1100_0^4 - 7346611013499/411647117090*c_1100_0^3 - 4462766626369/823294234180*c_1100_0^2 + 8084360839481/823294234180*c_1100_0 - 1370877489851/823294234180, c_1001_3 + 9660592979/41164711709*c_1100_0^12 + 54218876807/41164711709*c_1100_0^11 - 136670926650/41164711709*c_1100_0^10 + 469920526981/41164711709*c_1100_0^9 - 152682844126/41164711709*c_1100_0^8 - 1371480753330/41164711709*c_1100_0^7 + 387662002787/41164711709*c_1100_0^6 + 1542133506148/41164711709*c_1100_0^5 - 262476267/340204229*c_1100_0^4 - 1255959466414/41164711709*c_1100_0\ ^3 + 166119334274/41164711709*c_1100_0^2 + 527529858047/41164711709*c_1100_0 - 285185421013/41164711709, c_1100_0^13 + 6*c_1100_0^12 - 11*c_1100_0^11 + 50*c_1100_0^10 - c_1100_0^9 - 107*c_1100_0^8 + 29*c_1100_0^7 + 96*c_1100_0^6 - 15*c_1100_0^5 - 78*c_1100_0^4 + 35*c_1100_0^3 + 34*c_1100_0^2 - 32*c_1100_0 + 9 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 4.900 Total time: 5.099 seconds, Total memory usage: 121.34MB