Magma V2.19-8 Tue Aug 20 2013 16:16:00 on localhost [Seed = 3785391398] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0254 geometric_solution 4.29115021 oriented_manifold CS_known -0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 0 1 2 0 3012 0132 0132 1230 0 0 0 0 0 -1 0 1 -1 0 0 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 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 1.384643836326 0.588947510654 3 0 2 4 0132 0132 1302 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 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 0.163563339563 1.372092215029 1 4 3 0 2031 2103 3120 0132 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 -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 0.922791842776 0.425396955620 1 5 2 4 0132 0132 3120 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 -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 0.615259972146 0.626679802959 5 2 1 3 3120 2103 0132 1023 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 0 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 0 0 0 0 -0.313269842878 0.169679984229 6 3 6 4 0132 0132 2310 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 0 0 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 0.930653302591 0.106311243998 5 5 6 6 0132 3201 1230 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.720908069915 0.122130520650 ==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' : d['1'], 's_3_4' : d['1'], 's_3_0' : negation(d['1']), '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_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_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' : negation(d['1']), 's_0_1' : d['1'], 'c_1100_6' : d['c_0101_5'], 'c_1100_5' : d['c_0011_0'], 'c_1100_4' : d['c_0101_2'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0101_2'], 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : negation(d['c_0101_2']), 'c_1100_2' : d['c_0011_0'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_0']), 'c_0101_3' : negation(d['c_0011_0']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_2']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_0']), 'c_0011_4' : d['c_0011_4'], '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_0'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : d['c_0101_6'], 'c_1001_4' : d['c_0011_2'], 'c_1001_6' : negation(d['c_0101_5']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_0011_2'], 'c_1001_3' : negation(d['c_0011_4']), 'c_1001_2' : d['c_0011_4'], 'c_0110_1' : negation(d['c_0011_0']), 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : negation(d['c_0011_2']), 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_6'], 'c_0110_4' : d['c_0101_6'], 'c_0110_6' : d['c_0101_5'], 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : negation(d['c_0011_4']), 'c_1010_4' : negation(d['c_0011_2']), 'c_1010_3' : d['c_0101_6'], 'c_1010_2' : d['c_0011_2'], 'c_1010_1' : d['c_0011_2'], 'c_1010_0' : 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_2, c_0101_5, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 17 Groebner basis: [ t + 7656972163125052/294736661212961*c_0101_6^16 + 12922878350223699/53588483856902*c_0101_6^15 + 173743607370196179/294736661212961*c_0101_6^14 - 518315649232711241/589473322425922*c_0101_6^13 - 3216303420047583395/589473322425922*c_0101_6^12 - 752625503298136359/294736661212961*c_0101_6^11 + 389376843261730431/26794241928451*c_0101_6^10 + 3156618710543386261/294736661212961*c_0101_6^9 - 12282511131396784231/589473322425922*c_0101_6^8 - 5204817240860227179/589473322425922*c_0101_6^7 + 424963000574459333/26794241928451*c_0101_6^6 + 566411510001478241/589473322425922*c_0101_6^5 - 3550141424260172787/589473322425922*c_0101_6^4 + 758469391481955827/589473322425922*c_0101_6^3 + 295072660370965589/294736661212961*c_0101_6^2 - 8610561203126000/26794241928451*c_0101_6 - 14114319382451945/589473322425922, c_0011_0 - 1, c_0011_2 + 174999275163947/26794241928451*c_0101_6^16 + 1621965078916538/26794241928451*c_0101_6^15 + 3884627733086349/26794241928451*c_0101_6^14 - 6554429692047464/26794241928451*c_0101_6^13 - 38016811800069627/26794241928451*c_0101_6^12 - 14488971774176940/26794241928451*c_0101_6^11 + 110477724136103580/26794241928451*c_0101_6^10 + 75343653553927710/26794241928451*c_0101_6^9 - 172993040663941950/26794241928451*c_0101_6^8 - 75492328713921856/26794241928451*c_0101_6^7 + 150039112286221431/26794241928451*c_0101_6^6 + 11322857934980409/26794241928451*c_0101_6^5 - 64419724683549996/26794241928451*c_0101_6^4 + 13415424763564795/26794241928451*c_0101_6^3 + 11543673606237981/26794241928451*c_0101_6^2 - 4337932069266858/26794241928451*c_0101_6 - 482128946298195/26794241928451, c_0011_4 + 7989489729011/26794241928451*c_0101_6^16 + 79218942763201/26794241928451*c_0101_6^15 + 226587948842948/26794241928451*c_0101_6^14 - 170616211306981/26794241928451*c_0101_6^13 - 1884708632860628/26794241928451*c_0101_6^12 - 1794264203178739/26794241928451*c_0101_6^11 + 4283189128260233/26794241928451*c_0101_6^10 + 6241766055533051/26794241928451*c_0101_6^9 - 5084407006397042/26794241928451*c_0101_6^8 - 7110533920333994/26794241928451*c_0101_6^7 + 4253584135249424/26794241928451*c_0101_6^6 + 3226211912160100/26794241928451*c_0101_6^5 - 2456996060672822/26794241928451*c_0101_6^4 - 328320665680243/26794241928451*c_0101_6^3 + 742426061090281/26794241928451*c_0101_6^2 - 86972584610890/26794241928451*c_0101_6 - 41403284689985/26794241928451, c_0101_0 - 287650697339029/26794241928451*c_0101_6^16 - 2683205361800095/26794241928451*c_0101_6^15 - 6544315362597837/26794241928451*c_0101_6^14 + 10381550755151606/26794241928451*c_0101_6^13 + 63033820791296331/26794241928451*c_0101_6^12 + 27306953071617458/26794241928451*c_0101_6^11 - 179858466404357131/26794241928451*c_0101_6^10 - 132611128857274054/26794241928451*c_0101_6^9 + 278147496561813935/26794241928451*c_0101_6^8 + 136188646611797227/26794241928451*c_0101_6^7 - 243168423180568806/26794241928451*c_0101_6^6 - 27074445235529972/26794241928451*c_0101_6^5 + 107093474427964500/26794241928451*c_0101_6^4 - 20017206524579441/26794241928451*c_0101_6^3 - 19766506796943371/26794241928451*c_0101_6^2 + 7082888330690805/26794241928451*c_0101_6 + 793161896358308/26794241928451, c_0101_2 - 233474710680740/26794241928451*c_0101_6^16 - 2167879362284094/26794241928451*c_0101_6^15 - 5220695711986266/26794241928451*c_0101_6^14 + 8641600374888311/26794241928451*c_0101_6^13 + 50818667227334239/26794241928451*c_0101_6^12 + 20193505123913417/26794241928451*c_0101_6^11 - 146736423881789310/26794241928451*c_0101_6^10 - 102553111799342539/26794241928451*c_0101_6^9 + 228633138280113196/26794241928451*c_0101_6^8 + 103535411466585060/26794241928451*c_0101_6^7 - 198136345337323479/26794241928451*c_0101_6^6 - 17633793066400878/26794241928451*c_0101_6^5 + 85323953154895857/26794241928451*c_0101_6^4 - 16750628442372683/26794241928451*c_0101_6^3 - 15436417798470675/26794241928451*c_0101_6^2 + 5573398822530619/26794241928451*c_0101_6 + 671133703646641/26794241928451, c_0101_5 + 1794788390619/26794241928451*c_0101_6^16 + 18180569758644/26794241928451*c_0101_6^15 + 54518218272391/26794241928451*c_0101_6^14 - 29527851005800/26794241928451*c_0101_6^13 - 438828367893146/26794241928451*c_0101_6^12 - 494901396210501/26794241928451*c_0101_6^11 + 923154938775311/26794241928451*c_0101_6^10 + 1691097170626728/26794241928451*c_0101_6^9 - 892162318623182/26794241928451*c_0101_6^8 - 2057672296904903/26794241928451*c_0101_6^7 + 574600072768884/26794241928451*c_0101_6^6 + 1123378430679252/26794241928451*c_0101_6^5 - 331862347957429/26794241928451*c_0101_6^4 - 249002095026530/26794241928451*c_0101_6^3 + 163590919866170/26794241928451*c_0101_6^2 + 10703182750160/26794241928451*c_0101_6 - 27680779277361/26794241928451, c_0101_6^17 + 10*c_0101_6^16 + 29*c_0101_6^15 - 21*c_0101_6^14 - 244*c_0101_6^13 - 242*c_0101_6^12 + 566*c_0101_6^11 + 887*c_0101_6^10 - 665*c_0101_6^9 - 1140*c_0101_6^8 + 533*c_0101_6^7 + 679*c_0101_6^6 - 313*c_0101_6^5 - 188*c_0101_6^4 + 118*c_0101_6^3 + 23*c_0101_6^2 - 20*c_0101_6 - 2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.210 seconds, Total memory usage: 32.09MB