Magma V2.19-8 Tue Aug 20 2013 17:58:03 on localhost [Seed = 2311601600] Type ? for help. Type -D to quit. Loading file "10^2_115__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation 10^2_115 geometric_solution 11.78058065 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 0 0 0 1 0 0 0 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 0 -1 1 0 0 1 -1 5 0 0 -5 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.317877296559 0.246170998723 0 5 7 6 0132 0132 0132 0132 1 0 1 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 0 0 0 0 0 0 0 -1 2 0 -1 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.091530123232 1.913313166105 8 0 4 9 0132 0132 0132 0132 0 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 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.794281720352 0.835884878164 6 9 6 0 1230 0132 2103 0132 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 0 0 0 0 -1 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 0.299711507433 1.666218024334 8 10 0 2 3012 0132 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 1 -1 0 -1 0 1 0 0 1 0 -1 -5 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.227930532405 1.003910271459 7 1 11 12 1023 0132 0132 0132 1 1 0 1 0 0 0 0 0 0 0 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 0 0 0 1 0 -1 0 6 -5 0 -1 1 -2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.002632837295 1.198115804543 3 3 1 9 2103 3012 0132 2103 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 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.214372728269 0.510063648851 8 5 11 1 1023 1023 0321 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 -1 1 0 0 0 0 0 6 -6 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.562888674306 0.854504257936 2 7 10 4 0132 1023 3201 1230 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 -1 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 1 -6 0 5 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.737953419906 0.546940439275 11 3 2 6 1302 0132 0132 2103 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 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 0.568394251427 0.459766926490 8 4 12 12 2310 0132 3012 3120 0 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 -1 1 0 1 0 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 0.850142240230 0.730307749248 12 9 7 5 3012 2031 0321 0132 1 1 1 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 -1 0 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 0.404282358002 1.084866185261 10 10 5 11 3120 1230 0132 1230 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 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 0.850142240230 0.730307749248 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0110_9']), 'c_1001_10' : negation(d['c_0011_12']), 'c_1001_12' : d['c_0101_12'], 'c_1001_5' : negation(d['c_0011_3']), 'c_1001_4' : negation(d['c_0011_12']), 'c_1001_7' : d['c_0101_5'], 'c_1001_6' : negation(d['c_0011_3']), 'c_1001_1' : d['c_0101_12'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0011_6'], 'c_1001_2' : negation(d['c_0011_12']), 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : negation(d['c_0101_10']), 'c_1010_12' : d['c_0101_10'], 'c_1010_11' : negation(d['c_0011_3']), 'c_1010_10' : negation(d['c_0011_12']), 's_3_11' : d['1'], 's_0_11' : 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_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_1100_9' : negation(d['c_0110_6']), 'c_1100_8' : negation(d['c_0011_10']), 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0101_5'], 'c_1100_4' : negation(d['c_0110_6']), 'c_1100_7' : negation(d['c_0110_9']), 'c_1100_6' : negation(d['c_0110_9']), 'c_1100_1' : negation(d['c_0110_9']), 'c_1100_0' : negation(d['c_0110_6']), 'c_1100_3' : negation(d['c_0110_6']), 'c_1100_2' : negation(d['c_0110_6']), 's_0_10' : d['1'], 'c_1100_11' : d['c_0101_5'], 'c_1100_10' : negation(d['c_0101_12']), 's_3_10' : d['1'], 'c_1010_7' : d['c_0101_12'], 'c_1010_6' : negation(d['c_0011_6']), 'c_1010_5' : d['c_0101_12'], 'c_1010_4' : negation(d['c_0011_12']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0011_3']), 'c_1010_0' : negation(d['c_0011_12']), 'c_1010_9' : d['c_0011_6'], 'c_1010_8' : d['c_0101_1'], '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_0101_5'], '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' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_0'], '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_0101_5'], 'c_0110_10' : d['c_0011_11'], 'c_0110_12' : d['c_0011_11'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : negation(d['c_0101_10']), 'c_0101_6' : d['c_0011_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0011_6'], 'c_0101_2' : negation(d['c_0011_10']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_6'], 'c_0101_9' : negation(d['c_0011_11']), 'c_0101_8' : negation(d['c_0011_11']), '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' : d['c_0110_9'], 'c_0110_8' : negation(d['c_0011_10']), 'c_0110_1' : d['c_0011_6'], 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : d['c_0011_6'], 'c_0110_2' : negation(d['c_0011_11']), 'c_0110_5' : d['c_0101_12'], 'c_0110_4' : negation(d['c_0011_10']), 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0110_6'], '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_11, c_0011_12, c_0011_3, c_0011_6, c_0101_1, c_0101_10, c_0101_12, c_0101_5, c_0110_6, c_0110_9, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t + 205957529927711/30033534832128*c_1001_0^15 + 180250129059049/30033534832128*c_1001_0^14 + 751478758275055/15016767416064*c_1001_0^13 + 230861867403941/10011178277376*c_1001_0^12 + 2364739627186951/15016767416064*c_1001_0^11 + 491111147723353/7508383708032*c_1001_0^10 + 2253044393151703/7508383708032*c_1001_0^9 + 162529880879735/30033534832128*c_1001_0^8 + 706579621008391/1668529712896*c_1001_0^7 - 2914432159675153/15016767416064*c_1001_0^6 + 3020431481383741/7508383708032*c_1001_0^5 - 354973881807623/1877095927008*c_1001_0^4 + 1476790337295721/7508383708032*c_1001_0^3 - 3802906562595/104283107056*c_1001_0^2 + 29197187856127/1668529712896*c_1001_0 - 211453933738285/30033534832128, c_0011_0 - 1, c_0011_10 - 367222360/1112777057*c_1001_0^15 - 440225377/1112777057*c_1001_0^14 - 2891326913/1112777057*c_1001_0^13 - 2236524586/1112777057*c_1001_0^12 - 9702579802/1112777057*c_1001_0^11 - 6914004418/1112777057*c_1001_0^10 - 19994231132/1112777057*c_1001_0^9 - 7217862770/1112777057*c_1001_0^8 - 27747644307/1112777057*c_1001_0^7 + 2314765105/1112777057*c_1001_0^6 - 23574125266/1112777057*c_1001_0^5 + 7550227677/1112777057*c_1001_0^4 - 1398363031/158968151*c_1001_0^3 + 3749888066/1112777057*c_1001_0^2 - 745802324/1112777057*c_1001_0 + 1101720721/1112777057, c_0011_11 + 70407793/158968151*c_1001_0^15 + 74269935/158968151*c_1001_0^14 + 552871270/158968151*c_1001_0^13 + 385205545/158968151*c_1001_0^12 + 1914936616/158968151*c_1001_0^11 + 1291830256/158968151*c_1001_0^10 + 4086434212/158968151*c_1001_0^9 + 1572845741/158968151*c_1001_0^8 + 6255444926/158968151*c_1001_0^7 + 142111279/158968151*c_1001_0^6 + 6074633762/158968151*c_1001_0^5 - 565332675/158968151*c_1001_0^4 + 3325119258/158968151*c_1001_0^3 + 37686754/158968151*c_1001_0^2 + 711091504/158968151*c_1001_0 + 162088178/158968151, c_0011_12 + 214775987/3338331171*c_1001_0^15 + 488402029/3338331171*c_1001_0^14 + 2304203126/3338331171*c_1001_0^13 + 1188620850/1112777057*c_1001_0^12 + 9772352108/3338331171*c_1001_0^11 + 12377944804/3338331171*c_1001_0^10 + 24662804515/3338331171*c_1001_0^9 + 22956138689/3338331171*c_1001_0^8 + 12373554189/1112777057*c_1001_0^7 + 21525142564/3338331171*c_1001_0^6 + 32378944228/3338331171*c_1001_0^5 + 4979956393/3338331171*c_1001_0^4 + 2198259163/476904453*c_1001_0^3 - 557051063/1112777057*c_1001_0^2 + 1126972380/1112777057*c_1001_0 + 1508301203/3338331171, c_0011_3 + 86588067/158968151*c_1001_0^15 + 81844892/158968151*c_1001_0^14 + 703306245/158968151*c_1001_0^13 + 426220779/158968151*c_1001_0^12 + 2514883165/158968151*c_1001_0^11 + 1422891322/158968151*c_1001_0^10 + 5442608554/158968151*c_1001_0^9 + 1702525168/158968151*c_1001_0^8 + 8461640861/158968151*c_1001_0^7 - 644738808/158968151*c_1001_0^6 + 8831357582/158968151*c_1001_0^5 - 1899911047/158968151*c_1001_0^4 + 4956387838/158968151*c_1001_0^3 - 219642100/158968151*c_1001_0^2 + 1098008367/158968151*c_1001_0 + 444295362/158968151, c_0011_6 - 13853845/158968151*c_1001_0^15 + 7205541/158968151*c_1001_0^14 - 121818454/158968151*c_1001_0^13 + 51211337/158968151*c_1001_0^12 - 527817328/158968151*c_1001_0^11 + 106650901/158968151*c_1001_0^10 - 1282784084/158968151*c_1001_0^9 + 185773304/158968151*c_1001_0^8 - 2509960058/158968151*c_1001_0^7 + 991435036/158968151*c_1001_0^6 - 3619016202/158968151*c_1001_0^5 + 1619289029/158968151*c_1001_0^4 - 2595233134/158968151*c_1001_0^3 + 707451649/158968151*c_1001_0^2 - 671169080/158968151*c_1001_0 - 88207486/158968151, c_0101_1 - 1, c_0101_10 + 128412110/158968151*c_1001_0^15 + 149405010/158968151*c_1001_0^14 + 1018853320/158968151*c_1001_0^13 + 754992855/158968151*c_1001_0^12 + 3458002674/158968151*c_1001_0^11 + 2322985355/158968151*c_1001_0^10 + 7238061768/158968151*c_1001_0^9 + 2461178907/158968151*c_1001_0^8 + 10508128012/158968151*c_1001_0^7 - 699603420/158968151*c_1001_0^6 + 10030616742/158968151*c_1001_0^5 - 2105235930/158968151*c_1001_0^4 + 6032040754/158968151*c_1001_0^3 - 574631703/158968151*c_1001_0^2 + 1551568530/158968151*c_1001_0 + 38128243/158968151, c_0101_12 - 4743175/158968151*c_1001_0^15 + 10601709/158968151*c_1001_0^14 - 6719556/158968151*c_1001_0^13 + 90417289/158968151*c_1001_0^12 + 37482250/158968151*c_1001_0^11 + 247324534/158968151*c_1001_0^10 + 230528029/158968151*c_1001_0^9 + 495538697/158968151*c_1001_0^8 + 221141862/158968151*c_1001_0^7 + 518903150/158968151*c_1001_0^6 + 178202561/158968151*c_1001_0^5 - 238896182/158968151*c_1001_0^4 + 473062436/158968151*c_1001_0^3 - 619544990/158968151*c_1001_0^2 + 357707295/158968151*c_1001_0 - 332144285/158968151, c_0101_5 - 247047257/158968151*c_1001_0^15 - 279244428/158968151*c_1001_0^14 - 1967366163/158968151*c_1001_0^13 - 1442564021/158968151*c_1001_0^12 - 6761389399/158968151*c_1001_0^11 - 4588151168/158968151*c_1001_0^10 - 14274086202/158968151*c_1001_0^9 - 5248271001/158968151*c_1001_0^8 - 21048222095/158968151*c_1001_0^7 + 609437921/158968151*c_1001_0^6 - 20120551494/158968151*c_1001_0^5 + 3338204706/158968151*c_1001_0^4 - 11241753374/158968151*c_1001_0^3 + 340851214/158968151*c_1001_0^2 - 2801896744/158968151*c_1001_0 - 524542377/158968151, c_0110_6 - 32319937/3338331171*c_1001_0^15 - 811860290/3338331171*c_1001_0^14 - 1087004290/3338331171*c_1001_0^13 - 2041566741/1112777057*c_1001_0^12 - 4701664192/3338331171*c_1001_0^11 - 19877890880/3338331171*c_1001_0^10 - 12868298414/3338331171*c_1001_0^9 - 38357363647/3338331171*c_1001_0^8 - 3115658535/1112777057*c_1001_0^7 - 50051119925/3338331171*c_1001_0^6 + 15473527915/3338331171*c_1001_0^5 - 40702537364/3338331171*c_1001_0^4 + 3386698924/476904453*c_1001_0^3 - 5365331718/1112777057*c_1001_0^2 + 1905234385/1112777057*c_1001_0 - 661741762/3338331171, c_0110_9 - c_1001_0, c_1001_0^16 + c_1001_0^15 + 8*c_1001_0^14 + 5*c_1001_0^13 + 28*c_1001_0^12 + 16*c_1001_0^11 + 60*c_1001_0^10 + 17*c_1001_0^9 + 92*c_1001_0^8 - 10*c_1001_0^7 + 96*c_1001_0^6 - 24*c_1001_0^5 + 60*c_1001_0^4 - 8*c_1001_0^3 + 18*c_1001_0^2 + c_1001_0 + 2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.160 Total time: 0.370 seconds, Total memory usage: 32.09MB