Magma V2.19-8 Tue Aug 20 2013 16:17:11 on localhost [Seed = 2850567544] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1416 geometric_solution 5.25225787 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1230 3012 0132 2310 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 0 0 0 0 0 0 0 0 0 0 1.485334315106 0.216975197367 0 2 2 0 3201 0132 1023 0132 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 0 1 -1 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 1.154484580404 0.299616182029 3 1 1 4 0132 0132 1023 0132 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 0 0 0 0 0 -1 1 -1 1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.750031670322 0.473330487552 2 5 6 5 0132 0132 0132 2310 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 -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 0.739051366915 0.614746207900 6 5 2 5 2310 3201 0132 1023 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 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 0.739051366915 0.614746207900 3 3 4 4 3201 0132 2310 1023 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 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 0.640757072172 0.312386222537 6 6 4 3 1230 3012 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.934128054348 1.004715823265 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : 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' : 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' : 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' : negation(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_1']), 'c_1100_5' : d['c_0011_1'], 'c_1100_4' : negation(d['c_0011_1']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_1'], 'c_1100_0' : d['c_0011_1'], 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : negation(d['c_0011_1']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0101_2']), 'c_0101_4' : d['c_0011_6'], 'c_0101_3' : d['c_0011_6'], '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' : negation(d['c_0011_1']), 'c_0011_4' : d['c_0011_1'], 'c_0011_6' : d['c_0011_6'], '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' : negation(d['c_0110_5']), 'c_1001_4' : d['c_0101_2'], 'c_1001_6' : negation(d['c_0011_6']), 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0101_6']), '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_0011_6'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : negation(d['c_0101_6']), 'c_0110_6' : d['c_0011_6'], 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : negation(d['c_0101_6']), 'c_1010_4' : d['c_0110_5'], 'c_1010_3' : negation(d['c_0110_5']), '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_6, c_0101_0, c_0101_2, c_0101_6, c_0110_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 30 Groebner basis: [ t + 1155882769040563/1914014057318784*c_0101_6*c_0110_5^14 - 1840279639279721/3828028114637568*c_0101_6*c_0110_5^13 - 4090284474179549/319002342886464*c_0101_6*c_0110_5^12 - 42625631107187197/3828028114637568*c_0101_6*c_0110_5^11 + 34506435502948643/212668228590976*c_0101_6*c_0110_5^10 + 787604852041762351/3828028114637568*c_0101_6*c_0110_5^9 - 794069606030128709/957007028659392*c_0101_6*c_0110_5^8 - 5159888293581592969/3828028114637568*c_0101_6*c_0110_5^7 + 341823664458520877/239251757164848*c_0101_6*c_0110_5^6 + 2197029419764257395/957007028659392*c_0101_6*c_0110_5^5 - 1013676414855289351/478503514329696*c_0101_6*c_0110_5^4 - 416188820785979285/239251757164848*c_0101_6*c_0110_5^3 + 206020548208422691/119625878582424*c_0101_6*c_0110_5^2 + 1128791060807895/6645882143468*c_0101_6*c_0110_5 - 10453656435430868/14953234822803*c_0101_6, c_0011_0 - 1, c_0011_1 + 3079753002451/212668228590976*c_0110_5^14 - 10025541390533/212668228590976*c_0110_5^13 - 47092737489011/212668228590976*c_0110_5^12 + 73832187400913/212668228590976*c_0110_5^11 + 756625773812211/212668228590976*c_0110_5^10 - 860738633967105/212668228590976*c_0110_5^9 - 3718593815552127/212668228590976*c_0110_5^8 + 2559125599702933/212668228590976*c_0110_5^7 + 2219442350390059/53167057147744*c_0110_5^6 - 1011462708672017/26583528573872*c_0110_5^5 - 878211877576753/26583528573872*c_0110_5^4 + 645500726026619/13291764286936*c_0110_5^3 - 16485102487895/3322941071734*c_0110_5^2 - 29385744138259/1661470535867*c_0110_5 + 13149495652524/1661470535867, c_0011_6 - 2418364056681/425336457181952*c_0110_5^14 + 3882500015269/212668228590976*c_0110_5^13 + 36982718768575/425336457181952*c_0110_5^12 - 13779089191755/106334114295488*c_0110_5^11 - 592005228986913/425336457181952*c_0110_5^10 + 320631712946001/212668228590976*c_0110_5^9 + 2870537950995683/425336457181952*c_0110_5^8 - 443652817477001/106334114295488*c_0110_5^7 - 1684336136199849/106334114295488*c_0110_5^6 + 363743577498155/26583528573872*c_0110_5^5 + 40374877254927/3322941071734*c_0110_5^4 - 226125449008827/13291764286936*c_0110_5^3 + 1827532615964/1661470535867*c_0110_5^2 + 9618439944118/1661470535867*c_0110_5 - 3347816870095/1661470535867, c_0101_0 + 16921906267897/1276009371545856*c_0101_6*c_0110_5^14 - 35948679160331/638004685772928*c_0101_6*c_0110_5^13 - 71308735217393/425336457181952*c_0101_6*c_0110_5^12 + 86018000722619/159501171443232*c_0101_6*c_0110_5^11 + 1307479823604743/425336457181952*c_0101_6*c_0110_5^10 - 4490765984192975/638004685772928*c_0101_6*c_0110_5^9 - 18231558655039879/1276009371545856*c_0101_6*c_0110_5^8 + 1107386234782685/39875292860808*c_0101_6*c_0110_5^7 + 5912265906243563/159501171443232*c_0101_6*c_0110_5^6 - 5815026496418681/79750585721616*c_0101_6*c_0110_5^5 - 342436220850235/19937646430404*c_0101_6*c_0110_5^4 + 3278649025600645/39875292860808*c_0101_6*c_0110_5^3 - 273185564850925/9968823215202*c_0101_6*c_0110_5^2 - 89516790711403/3322941071734*c_0101_6*c_0110_5 + 93835053115574/4984411607601*c_0101_6, c_0101_2 - 21105304298107/1276009371545856*c_0101_6*c_0110_5^14 + 9029073079229/212668228590976*c_0101_6*c_0110_5^13 + 119184676638915/425336457181952*c_0101_6*c_0110_5^12 - 63154936860157/319002342886464*c_0101_6*c_0110_5^11 - 5320330934811751/1276009371545856*c_0101_6*c_0110_5^10 + 365815395037205/212668228590976*c_0101_6*c_0110_5^9 + 26397229995232309/1276009371545856*c_0101_6*c_0110_5^8 + 90086811044051/106334114295488*c_0101_6*c_0110_5^7 - 1791841063979033/39875292860808*c_0101_6*c_0110_5^6 + 1915382494020467/159501171443232*c_0101_6*c_0110_5^5 + 3329763409569677/79750585721616*c_0101_6*c_0110_5^4 - 319350390422883/13291764286936*c_0101_6*c_0110_5^3 - 45202367913691/4984411607601*c_0101_6*c_0110_5^2 + 104537136056713/9968823215202*c_0101_6*c_0110_5 - 534009051594/1661470535867*c_0101_6, c_0101_6^2 + 731373743075/425336457181952*c_0110_5^14 - 1087807551165/212668228590976*c_0110_5^13 - 11408912463669/425336457181952*c_0110_5^12 + 414614479887/13291764286936*c_0110_5^11 + 177499818801811/425336457181952*c_0110_5^10 - 74906328860933/212668228590976*c_0110_5^9 - 836891889838337/425336457181952*c_0110_5^8 + 40114638224211/53167057147744*c_0110_5^7 + 458400501765493/106334114295488*c_0110_5^6 - 171830448150097/53167057147744*c_0110_5^5 - 6304484537710/1661470535867*c_0110_5^4 + 55674706709907/13291764286936*c_0110_5^3 + 575190861259/3322941071734*c_0110_5^2 - 4277684820035/3322941071734*c_0110_5 + 482151260233/1661470535867, c_0110_5^15 - 2*c_0110_5^14 - 19*c_0110_5^13 + 4*c_0110_5^12 + 269*c_0110_5^11 + 30*c_0110_5^10 - 1463*c_0110_5^9 - 676*c_0110_5^8 + 3464*c_0110_5^7 + 744*c_0110_5^6 - 4720*c_0110_5^5 + 608*c_0110_5^4 + 3072*c_0110_5^3 - 1408*c_0110_5^2 - 768*c_0110_5 + 512 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.230 seconds, Total memory usage: 32.09MB