Magma V2.19-8 Tue Aug 20 2013 16:17:13 on localhost [Seed = 172725975] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1450 geometric_solution 5.27097603 oriented_manifold CS_known 0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 7 1 1 2 2 0132 2310 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 1.849567656337 0.851642911158 0 1 1 0 0132 3201 2310 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.684541323659 0.150029970691 0 3 4 0 3201 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 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 0.764510997114 0.491460449117 5 2 6 4 0132 0132 0132 3201 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 -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 0.240866072203 0.708089590214 6 3 5 2 1023 2310 1023 0132 0 0 0 0 0 0 0 0 1 0 -1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.240866072203 0.708089590214 3 5 4 5 0132 2310 1023 3201 0 0 0 0 0 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 1 0 -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 0.456941571118 0.924136616092 6 4 6 3 2310 1023 3201 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.430573677187 1.265785321475 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : negation(d['1']), 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : negation(d['1']), 's_2_3' : 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' : d['1'], 's_1_4' : negation(d['1']), 's_1_3' : negation(d['1']), 's_1_2' : negation(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_4']), 'c_1100_5' : negation(d['c_0011_2']), 'c_1100_4' : d['c_0011_2'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0011_2'], 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : d['c_0011_2'], 'c_0101_6' : negation(d['c_0101_3']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_3'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0101_1']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_2'], 'c_0011_4' : d['c_0011_4'], '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' : negation(d['c_0011_2']), 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : d['c_0101_3'], 'c_1001_4' : d['c_0101_5'], 'c_1001_6' : d['c_0101_3'], 'c_1001_1' : negation(d['c_0101_1']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_1']), 'c_1001_2' : negation(d['c_0101_5']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_5'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : negation(d['c_0101_1']), 'c_0110_6' : d['c_0101_3'], 'c_1010_6' : negation(d['c_0101_1']), 'c_1010_5' : negation(d['c_0101_3']), 'c_1010_4' : negation(d['c_0101_5']), 'c_1010_3' : negation(d['c_0101_5']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : d['c_0101_1'], '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_2, c_0011_4, c_0101_0, c_0101_1, c_0101_3, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 20 Groebner basis: [ t - 192885247900932208826/1453393464922354008999*c_0101_5^18 + 4023495435824669048540/1453393464922354008999*c_0101_5^16 + 139052612530248289009/7230813258320169199*c_0101_5^14 - 89310041975948870521925/1453393464922354008999*c_0101_5^12 - 463708970036726549237213/1453393464922354008999*c_0101_5^10 + 312336574520510695358987/1453393464922354008999*c_0101_5^8 - 234438641602560747719348/484464488307451336333*c_0101_5^6 + 291045270030949126892027/1453393464922354008999*c_0101_5^4 - 7770878729834667598462/44042226209768303303*c_0101_5^2 + 28046656528480822427344/1453393464922354008999, c_0011_0 - 1, c_0011_2 + 10327780762178708/657346659847288109*c_0101_5^18 - 216389326679169458/657346659847288109*c_0101_5^16 - 1476906239363570732/657346659847288109*c_0101_5^14 + 4928248855761749182/657346659847288109*c_0101_5^12 + 24423441798983979374/657346659847288109*c_0101_5^10 - 19258296757789614905/657346659847288109*c_0101_5^8 + 38652821374493488802/657346659847288109*c_0101_5^6 - 17261901000094792295/657346659847288109*c_0101_5^4 + 12852488835713874407/657346659847288109*c_0101_5^2 - 1147335082123137850/657346659847288109, c_0011_4 - 246742917719116263/44042226209768303303*c_0101_5^18 + 5096370439188297756/44042226209768303303*c_0101_5^16 + 548895477555373021/657346659847288109*c_0101_5^14 - 106230755588145949648/44042226209768303303*c_0101_5^12 - 612044853570927779546/44042226209768303303*c_0101_5^10 + 260933641497427812955/44042226209768303303*c_0101_5^8 - 896299370920424814390/44042226209768303303*c_0101_5^6 + 276459312984797705480/44042226209768303303*c_0101_5^4 - 287314038243304678181/44042226209768303303*c_0101_5^2 + 8262492122116421387/44042226209768303303, c_0101_0 + 65243025720601648/657346659847288109*c_0101_5^19 - 1367464344564723585/657346659847288109*c_0101_5^17 - 9319313963284787914/657346659847288109*c_0101_5^15 + 31189912746862289013/657346659847288109*c_0101_5^13 + 153987743766601873521/657346659847288109*c_0101_5^11 - 122513993683858514869/657346659847288109*c_0101_5^9 + 246122694752864903492/657346659847288109*c_0101_5^7 - 111813024298343643186/657346659847288109*c_0101_5^5 + 86373467815568781617/657346659847288109*c_0101_5^3 - 9837239699720147223/657346659847288109*c_0101_5, c_0101_1 - 78720820944449533/657346659847288109*c_0101_5^19 + 1654160532498929218/657346659847288109*c_0101_5^17 + 11157243355689788719/657346659847288109*c_0101_5^15 - 38254063806292026273/657346659847288109*c_0101_5^13 - 183922641499822871491/657346659847288109*c_0101_5^11 + 158208291004200710446/657346659847288109*c_0101_5^9 - 302632096026872005518/657346659847288109*c_0101_5^7 + 149029924468882908218/657346659847288109*c_0101_5^5 - 107589252300713078136/657346659847288109*c_0101_5^3 + 15268287907581893654/657346659847288109*c_0101_5, c_0101_3 - 4946711640534512781/44042226209768303303*c_0101_5^19 + 103903272986260880303/44042226209768303303*c_0101_5^17 + 10476908603578361610/657346659847288109*c_0101_5^15 - 2397119125958020303232/44042226209768303303*c_0101_5^13 - 11573245867062019849727/44042226209768303303*c_0101_5^11 + 9822542697244204127131/44042226209768303303*c_0101_5^9 - 19009014228370862919900/44042226209768303303*c_0101_5^7 + 9337465803891555048469/44042226209768303303*c_0101_5^5 - 6805833963113074563937/44042226209768303303*c_0101_5^3 + 1028886895561037563542/44042226209768303303*c_0101_5, c_0101_5^20 - 21*c_0101_5^18 - 142*c_0101_5^16 + 484*c_0101_5^14 + 2342*c_0101_5^12 - 1977*c_0101_5^10 + 3830*c_0101_5^8 - 1852*c_0101_5^6 + 1361*c_0101_5^4 - 188*c_0101_5^2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB