Magma V2.19-8 Tue Aug 20 2013 16:16:01 on localhost [Seed = 2513701203] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0259 geometric_solution 4.29897598 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1230 3012 0132 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1.352113860892 0.141248391665 0 2 2 0 3201 0132 1023 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 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 1.102523314198 0.122403102728 3 1 1 3 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 1 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 1.064427732732 0.255590525015 2 4 5 2 0132 0132 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 0 0 0 0 0 -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 0.750468577072 0.299846640691 5 3 6 5 2031 0132 0132 3201 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.408431127093 0.562034918781 6 4 4 3 1023 2310 1302 0132 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 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 0.408431127093 0.562034918781 6 5 6 4 2310 1023 3201 0132 0 0 0 0 0 1 -1 0 1 0 -1 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.846139991633 1.164358419151 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : negation(d['1']), 's_3_4' : negation(d['1']), 's_3_0' : d['1'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : d['1'], 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : negation(d['1']), 's_1_3' : negation(d['1']), 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : d['1'], 's_0_6' : 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_6' : negation(d['c_0011_5']), 'c_1100_5' : d['c_0011_1'], 'c_1100_4' : negation(d['c_0011_5']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_1'], 'c_1100_0' : d['c_0011_1'], 'c_1100_3' : d['c_0011_1'], 'c_1100_2' : negation(d['c_0011_1']), 'c_0101_6' : negation(d['c_0011_1']), 'c_0101_5' : d['c_0011_1'], 'c_0101_4' : d['c_0011_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_1']), 'c_0011_6' : d['c_0011_5'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_1'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : d['c_0110_4'], 'c_1001_4' : d['c_0101_3'], 'c_1001_6' : d['c_0011_1'], 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0110_4']), 'c_1001_2' : negation(d['c_0011_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_2'], 'c_0110_2' : d['c_0101_3'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0110_4'], 'c_0110_6' : d['c_0011_1'], 'c_1010_6' : d['c_0101_3'], 'c_1010_5' : negation(d['c_0110_4']), 'c_1010_4' : negation(d['c_0110_4']), 'c_1010_3' : d['c_0101_3'], 'c_1010_2' : d['c_0101_2'], 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(d['c_0101_0'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_5, c_0101_0, c_0101_2, c_0101_3, c_0110_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 20 Groebner basis: [ t + 2015266627485634290656699811239/719184281510699225395355336512*c_01\ 10_4^18 - 5993633235214915334198564670207/7191842815106992253953553\ 36512*c_0110_4^16 - 246908856078132349389233433623907/1797960703776\ 74806348838834128*c_0110_4^14 - 23666659812273081120464540754410205\ /719184281510699225395355336512*c_0110_4^12 - 2099644166220967351449896425964587/102740611644385603627907905216*c\ _0110_4^10 - 64498722045758646891395461963301533/449490175944187015\ 87209708532*c_0110_4^8 - 128176585143089285160793085492238297/35959\ 2140755349612697677668256*c_0110_4^6 + 4912385215053474512164768499269515/359592140755349612697677668256*c\ _0110_4^4 + 1814649141120136633297850695057795/17979607037767480634\ 8838834128*c_0110_4^2 - 142914544056737572171381415331683/719184281\ 510699225395355336512, c_0011_0 - 1, c_0011_1 - 166916052832434563050952117/2712440716904576819917827239*c_0\ 110_4^18 + 496919169423751577794237483/2712440716904576819917827239\ *c_0110_4^16 + 81800244554667224969270053969/2712440716904576819917\ 827239*c_0110_4^14 + 1959968747477175070991251975966/27124407169045\ 76819917827239*c_0110_4^12 + 1211547218302663897082818214891/271244\ 0716904576819917827239*c_0110_4^10 + 85470688491398448580523627859135/2712440716904576819917827239*c_011\ 0_4^8 + 20980841083503878178108268385797/27124407169045768199178272\ 39*c_0110_4^6 - 126746976365780053583396738517/38749153098636811713\ 1118177*c_0110_4^4 - 594513414321731909667188578868/271244071690457\ 6819917827239*c_0110_4^2 + 15857444909871442701425084523/2712440716\ 904576819917827239, c_0011_5 + 7916428192957492166542665/2712440716904576819917827239*c_011\ 0_4^19 - 25944061273378208123601271/2712440716904576819917827239*c_\ 0110_4^17 - 3872473225058458916265746972/27124407169045768199178272\ 39*c_0110_4^15 - 91792201773140209811934964231/27124407169045768199\ 17827239*c_0110_4^13 - 29577052454696408803569608427/27124407169045\ 76819917827239*c_0110_4^11 - 4036887571777377818775388032953/271244\ 0716904576819917827239*c_0110_4^9 + 222002793639149898966470463534/2712440716904576819917827239*c_0110_\ 4^7 + 45672142577752385743401264564/387491530986368117131118177*c_0\ 110_4^5 + 33501914747339880485442012975/271244071690457681991782723\ 9*c_0110_4^3 - 6098816776197565754392706796/27124407169045768199178\ 27239*c_0110_4, c_0101_0 + 1114718396912659040587929386/2712440716904576819917827239*c_\ 0110_4^19 - 3320176894417319898577883562/27124407169045768199178272\ 39*c_0110_4^17 - 546282961429128982506666274729/2712440716904576819\ 917827239*c_0110_4^15 - 13088513873241204773923098653876/2712440716\ 904576819917827239*c_0110_4^13 - 8072540256503575514848043272165/27\ 12440716904576819917827239*c_0110_4^11 - 570792359458157989178535725076867/2712440716904576819917827239*c_01\ 10_4^9 - 139302972651746550887419697821451/271244071690457681991782\ 7239*c_0110_4^7 + 853108284965088167430831640862/387491530986368117\ 131118177*c_0110_4^5 + 3935450761544539080235998684895/271244071690\ 4576819917827239*c_0110_4^3 - 107533514722151848519478126335/271244\ 0716904576819917827239*c_0110_4, c_0101_2 - 130135506455441961278502576/2712440716904576819917827239*c_0\ 110_4^19 + 392763503845762899796059814/2712440716904576819917827239\ *c_0110_4^17 + 63759792145356289347662408126/2712440716904576819917\ 827239*c_0110_4^15 + 1525463290052622807599938310271/27124407169045\ 76819917827239*c_0110_4^13 + 881639522469718107726722119751/2712440\ 716904576819917827239*c_0110_4^11 + 66593146525408351269172972360153/2712440716904576819917827239*c_011\ 0_4^9 + 13619390165068793885430332881634/27124407169045768199178272\ 39*c_0110_4^7 - 225969241502884892538191384146/38749153098636811713\ 1118177*c_0110_4^5 - 471511360669844632055006184878/271244071690457\ 6819917827239*c_0110_4^3 + 30195082666112740754072584828/2712440716\ 904576819917827239*c_0110_4, c_0101_3 + 152219544008220859952603517/2712440716904576819917827239*c_0\ 110_4^18 - 453933658855001987531363486/2712440716904576819917827239\ *c_0110_4^16 - 74595669524607713078057341817/2712440716904576819917\ 827239*c_0110_4^14 - 1787022960983193764615025606354/27124407169045\ 76819917827239*c_0110_4^12 - 1095869196440873399320444239646/271244\ 0716904576819917827239*c_0110_4^10 - 77939665045279033773300990009475/2712440716904576819917827239*c_011\ 0_4^8 - 18740785034366523293659759256361/27124407169045768199178272\ 39*c_0110_4^6 + 129333553693398421943056332879/38749153098636811713\ 1118177*c_0110_4^4 + 540937348517004003153439450182/271244071690457\ 6819917827239*c_0110_4^2 - 14747695543317767740192095423/2712440716\ 904576819917827239, c_0110_4^20 - 3*c_0110_4^18 - 490*c_0110_4^16 - 11731*c_0110_4^14 - 6989*c_0110_4^12 - 511890*c_0110_4^10 - 113950*c_0110_4^8 + 8262*c_0110_4^6 + 3440*c_0110_4^4 - 173*c_0110_4^2 + 2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.220 seconds, Total memory usage: 32.09MB