Magma V2.19-8 Tue Aug 20 2013 16:18:48 on localhost [Seed = 2598045669] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2962 geometric_solution 6.14719163 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 1 2 0 0 0132 0132 1230 3012 0 0 0 0 0 -1 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 1 1 -2 1 0 0 -1 0 0 0 0 -1 -1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.414181413780 1.442574056589 0 3 5 4 0132 0132 0132 0132 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 -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 0 0 0.451330286540 0.739919350515 3 0 4 5 2310 0132 3201 3201 0 0 0 0 0 1 -1 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 1 0 1 0 -1 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 0.451330286540 0.739919350515 3 1 2 3 3201 0132 3201 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 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 0.092038424497 0.937291959044 2 6 1 6 2310 0132 0132 2310 0 0 0 0 0 0 -1 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 1 -1 0 0 -1 1 1 -1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.986367939297 0.465760673152 5 2 5 1 2031 2310 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 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 0.881643398670 0.911448400926 4 4 6 6 3201 0132 2031 1302 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 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 0.609195436810 0.194478935500 ==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' : negation(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' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : d['c_0101_2'], 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : negation(d['c_0011_4']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_4']), 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : negation(d['c_0011_4']), 'c_0101_6' : d['c_0101_2'], 'c_0101_5' : negation(d['c_0011_4']), 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_4'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_4']), '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' : negation(d['c_0011_0']), 'c_1001_5' : d['c_0101_1'], 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_6' : negation(d['c_0110_6']), 'c_1001_1' : d['c_0101_3'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_3']), 'c_0110_2' : negation(d['c_0101_3']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0101_2']), 'c_0110_6' : d['c_0110_6'], 'c_1010_6' : negation(d['c_0101_2']), 'c_1010_5' : d['c_0101_3'], 'c_1010_4' : negation(d['c_0110_6']), 'c_1010_3' : d['c_0101_3'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_2']), '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_4, c_0101_0, c_0101_1, c_0101_2, c_0101_3, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 32 Groebner basis: [ t - 81527547809214736449/4257865089885293954*c_0101_3*c_0110_6^15 + 145269210534768770419/4257865089885293954*c_0101_3*c_0110_6^14 + 179727849229213785405/2128932544942646977*c_0101_3*c_0110_6^13 - 237076822948404758966/2128932544942646977*c_0101_3*c_0110_6^12 + 541157676618161018076/2128932544942646977*c_0101_3*c_0110_6^11 - 485622456490395145456/2128932544942646977*c_0101_3*c_0110_6^10 + 180378737397638843911/4257865089885293954*c_0101_3*c_0110_6^9 - 291561141683649745023/2128932544942646977*c_0101_3*c_0110_6^8 - 1362612507224576403843/4257865089885293954*c_0101_3*c_0110_6^7 - 380069750981096360295/4257865089885293954*c_0101_3*c_0110_6^6 - 1423363434467576208637/4257865089885293954*c_0101_3*c_0110_6^5 - 197027187200812002989/4257865089885293954*c_0101_3*c_0110_6^4 - 540863470313725307467/4257865089885293954*c_0101_3*c_0110_6^3 - 79372865681486762899/4257865089885293954*c_0101_3*c_0110_6^2 - 34703261941905808014/2128932544942646977*c_0101_3*c_0110_6 - 8084457562416724816/2128932544942646977*c_0101_3, c_0011_0 - 1, c_0011_4 + 719167350058442791/125231326173096881*c_0101_3*c_0110_6^15 - 1244798422823906572/125231326173096881*c_0101_3*c_0110_6^14 - 3545871441268964019/125231326173096881*c_0101_3*c_0110_6^13 + 4667841615448537491/125231326173096881*c_0101_3*c_0110_6^12 - 8075554092714094346/125231326173096881*c_0101_3*c_0110_6^11 + 5701050063079917053/125231326173096881*c_0101_3*c_0110_6^10 + 3329749286354253725/125231326173096881*c_0101_3*c_0110_6^9 + 723978413512516059/125231326173096881*c_0101_3*c_0110_6^8 + 12877581362134391876/125231326173096881*c_0101_3*c_0110_6^7 + 2798214496527399939/125231326173096881*c_0101_3*c_0110_6^6 + 7825336613348352396/125231326173096881*c_0101_3*c_0110_6^5 + 2584978008137245568/125231326173096881*c_0101_3*c_0110_6^4 + 885398353375328039/125231326173096881*c_0101_3*c_0110_6^3 + 1419367943265597651/125231326173096881*c_0101_3*c_0110_6^2 - 269853426295635880/125231326173096881*c_0101_3*c_0110_6 + 109511515300335387/125231326173096881*c_0101_3, c_0101_0 - 9308995600308564072/2128932544942646977*c_0110_6^15 + 20393461608565536493/2128932544942646977*c_0110_6^14 + 40091781993220305728/2128932544942646977*c_0110_6^13 - 84214087411164028835/2128932544942646977*c_0110_6^12 + 124112380245842095857/2128932544942646977*c_0110_6^11 - 111772921546855790548/2128932544942646977*c_0110_6^10 - 25730482819860100123/2128932544942646977*c_0110_6^9 + 22196226234933030009/2128932544942646977*c_0110_6^8 - 152997285161606844411/2128932544942646977*c_0110_6^7 + 41282746287589685680/2128932544942646977*c_0110_6^6 - 56488781143289026436/2128932544942646977*c_0110_6^5 + 19932468056792164742/2128932544942646977*c_0110_6^4 + 17577261112510425772/2128932544942646977*c_0110_6^3 - 8508989259188086814/2128932544942646977*c_0110_6^2 + 12029807060796785362/2128932544942646977*c_0110_6 - 1991680198030792460/2128932544942646977, c_0101_1 + 9571642386898183416/2128932544942646977*c_0110_6^15 - 19438750468008065983/2128932544942646977*c_0110_6^14 - 42534172725556532279/2128932544942646977*c_0110_6^13 + 76067141447605308057/2128932544942646977*c_0110_6^12 - 122729061195252731922/2128932544942646977*c_0110_6^11 + 108996482401254021237/2128932544942646977*c_0110_6^10 + 16990555644204707216/2128932544942646977*c_0110_6^9 + 5650024469196210521/2128932544942646977*c_0110_6^8 + 157080970170192357782/2128932544942646977*c_0110_6^7 - 16836352885754675420/2128932544942646977*c_0110_6^6 + 91685561489131765305/2128932544942646977*c_0110_6^5 - 10903041711238373887/2128932544942646977*c_0110_6^4 + 1785607263753913488/2128932544942646977*c_0110_6^3 + 13167800587008519614/2128932544942646977*c_0110_6^2 - 9072024706340207462/2128932544942646977*c_0110_6 + 4002319495267744445/2128932544942646977, c_0101_2 + 7761911547876947472/2128932544942646977*c_0101_3*c_0110_6^15 - 11928346855344952521/2128932544942646977*c_0101_3*c_0110_6^14 - 40002715841418783653/2128932544942646977*c_0101_3*c_0110_6^13 + 41919277231313688021/2128932544942646977*c_0101_3*c_0110_6^12 - 82635108680016668155/2128932544942646977*c_0101_3*c_0110_6^11 + 47629821337566645294/2128932544942646977*c_0101_3*c_0110_6^10 + 42331892700739258474/2128932544942646977*c_0101_3*c_0110_6^9 + 18401794624850814430/2128932544942646977*c_0101_3*c_0110_6^8 + 147001937755990702202/2128932544942646977*c_0101_3*c_0110_6^7 + 62129617942058929114/2128932544942646977*c_0101_3*c_0110_6^6 + 105500302317154645083/2128932544942646977*c_0101_3*c_0110_6^5 + 51629986464423906687/2128932544942646977*c_0101_3*c_0110_6^4 + 22861829550506894982/2128932544942646977*c_0101_3*c_0110_6^3 + 21883653298165104989/2128932544942646977*c_0101_3*c_0110_6^2 - 1662911860480220364/2128932544942646977*c_0101_3*c_0110_6 + 1307658304540670233/2128932544942646977*c_0101_3, c_0101_3^2 + 8126736840302023064/2128932544942646977*c_0110_6^15 - 40479701011935002749/4257865089885293954*c_0110_6^14 - 57954482013617338757/4257865089885293954*c_0110_6^13 + 82835747639159229694/2128932544942646977*c_0110_6^12 - 133858813989531992285/2128932544942646977*c_0110_6^11 + 134014038149669718737/2128932544942646977*c_0110_6^10 - 13170066063419579071/2128932544942646977*c_0110_6^9 - 35818643969736501645/4257865089885293954*c_0110_6^8 + 139675055048690435415/2128932544942646977*c_0110_6^7 - 145573959944137962085/4257865089885293954*c_0110_6^6 + 141237512396563615115/4257865089885293954*c_0110_6^5 - 67840812464060103973/4257865089885293954*c_0110_6^4 - 12767779190194252475/4257865089885293954*c_0110_6^3 + 21672013820373291759/4257865089885293954*c_0110_6^2 - 30670171553695949259/4257865089885293954*c_0110_6 + 2958514685641711962/2128932544942646977, c_0110_6^16 - 21/11*c_0110_6^15 - 48/11*c_0110_6^14 + 76/11*c_0110_6^13 - 150/11*c_0110_6^12 + 128/11*c_0110_6^11 + 3/11*c_0110_6^10 + 28/11*c_0110_6^9 + 205/11*c_0110_6^8 + 13/11*c_0110_6^7 + 161/11*c_0110_6^6 + 25/11*c_0110_6^5 + 35/11*c_0110_6^4 + 25/11*c_0110_6^3 - 8/11*c_0110_6^2 + 6/11*c_0110_6 - 2/11 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB