Magma V2.19-8 Tue Aug 20 2013 16:16:53 on localhost [Seed = 3018993516] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1147 geometric_solution 5.02355287 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 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.492071902962 0.140965861228 0 2 2 0 3201 0132 1023 0132 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 0 1 1 -2 0 0 0 0 2 -2 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.246132251622 0.222281901064 3 1 1 4 0132 0132 1023 0132 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 -1 0 1 0 0 -1 1 -1 1 0 0 -1 2 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.918662639083 0.736208347437 2 5 4 6 0132 0132 3201 0132 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 1 -1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.090328654958 0.690659356828 3 6 2 5 2310 1023 0132 2310 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 -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 -0.090328654958 0.690659356828 4 3 5 5 3201 0132 2031 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 0 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.290215624398 0.547104050794 4 6 3 6 1023 2310 0132 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 0.186179539119 1.423542073138 ==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' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : 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' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : negation(d['c_0011_4']), 'c_1100_5' : d['c_0101_3'], '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_4']), 'c_1100_2' : negation(d['c_0011_1']), 'c_0101_6' : d['c_0101_2'], 'c_0101_5' : d['c_0101_3'], 'c_0101_4' : d['c_0101_3'], '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' : negation(d['c_0011_1']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_4'], '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_0110_5']), 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0101_3']), '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_0110_5'], 'c_0110_4' : negation(d['c_0101_3']), 'c_0110_6' : negation(d['c_0110_5']), 'c_1010_6' : d['c_0110_5'], 'c_1010_5' : negation(d['c_0101_3']), 'c_1010_4' : negation(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_4, c_0101_0, c_0101_2, c_0101_3, c_0110_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 22 Groebner basis: [ t - 31201193797768335037/2865279598075264884*c_0110_5^20 + 936926454386483137039/2865279598075264884*c_0110_5^18 - 685691628677263696699/477546599679210814*c_0110_5^16 - 8336591410192104794257/2865279598075264884*c_0110_5^14 + 45534778501979777014897/2865279598075264884*c_0110_5^12 + 35571130715643502722893/2865279598075264884*c_0110_5^10 - 33864199560751174534765/955093199358421628*c_0110_5^8 - 30724018956185457655543/2865279598075264884*c_0110_5^6 + 13553546755984592508467/2865279598075264884*c_0110_5^4 + 1405435340069058528685/477546599679210814*c_0110_5^2 + 735112169869425856885/2865279598075264884, c_0011_0 - 1, c_0011_1 + 9941411555188708/238773299839605407*c_0110_5^20 - 300745144545892310/238773299839605407*c_0110_5^18 + 1377700990284996637/238773299839605407*c_0110_5^16 + 2357540537472592053/238773299839605407*c_0110_5^14 - 15076536899269127136/238773299839605407*c_0110_5^12 - 8026215290796979882/238773299839605407*c_0110_5^10 + 34591569800694730041/238773299839605407*c_0110_5^8 + 2220653670411525165/238773299839605407*c_0110_5^6 - 5646741155605666621/238773299839605407*c_0110_5^4 - 1484063241963357656/238773299839605407*c_0110_5^2 + 32195198958224135/238773299839605407, c_0011_4 - 73365919173819425/238773299839605407*c_0110_5^21 + 2207447483496736318/238773299839605407*c_0110_5^19 - 9805464986569976775/238773299839605407*c_0110_5^17 - 19021357500768037943/238773299839605407*c_0110_5^15 + 108215490363806137022/238773299839605407*c_0110_5^13 + 77248934119403057873/238773299839605407*c_0110_5^11 - 243653567255311893153/238773299839605407*c_0110_5^9 - 58093552278186117277/238773299839605407*c_0110_5^7 + 35653503115062707055/238773299839605407*c_0110_5^5 + 18293703188722752791/238773299839605407*c_0110_5^3 + 699424299681835024/238773299839605407*c_0110_5, c_0101_0 + 394707100472208106/238773299839605407*c_0110_5^21 - 11867992360371511319/238773299839605407*c_0110_5^19 + 52512022202894456709/238773299839605407*c_0110_5^17 + 103397195850352770429/238773299839605407*c_0110_5^15 - 580108958760151985187/238773299839605407*c_0110_5^13 - 427108830493756234944/238773299839605407*c_0110_5^11 + 1302017708993183335777/238773299839605407*c_0110_5^9 + 336807518454606193300/238773299839605407*c_0110_5^7 - 184807736728652512543/238773299839605407*c_0110_5^5 - 98227111005902236257/238773299839605407*c_0110_5^3 - 5567130128455706614/238773299839605407*c_0110_5, c_0101_2 + 218066934379813696/238773299839605407*c_0110_5^21 - 6557680048778006617/238773299839605407*c_0110_5^19 + 29038697877590686530/238773299839605407*c_0110_5^17 + 56989696993950046608/238773299839605407*c_0110_5^15 - 320637898514368433162/238773299839605407*c_0110_5^13 - 234580177033065301702/238773299839605407*c_0110_5^11 + 719442606755931014839/238773299839605407*c_0110_5^9 + 182884466944887183348/238773299839605407*c_0110_5^7 - 101234412850440059290/238773299839605407*c_0110_5^5 - 53735804923300314395/238773299839605407*c_0110_5^3 - 2991852456119538366/238773299839605407*c_0110_5, c_0101_3 - 4449441944818869/238773299839605407*c_0110_5^20 + 132341122561979076/238773299839605407*c_0110_5^18 - 548204159615283084/238773299839605407*c_0110_5^16 - 1367665932927640429/238773299839605407*c_0110_5^14 + 6203903150434137569/238773299839605407*c_0110_5^12 + 7040149835804428249/238773299839605407*c_0110_5^10 - 13647206432837700417/238773299839605407*c_0110_5^8 - 8990681764672470601/238773299839605407*c_0110_5^6 + 2257358415593812411/238773299839605407*c_0110_5^4 + 2034976867410343276/238773299839605407*c_0110_5^2 + 181178339550248854/238773299839605407, c_0110_5^22 - 30*c_0110_5^20 + 131*c_0110_5^18 + 271*c_0110_5^16 - 1452*c_0110_5^14 - 1182*c_0110_5^12 + 3226*c_0110_5^10 + 1078*c_0110_5^8 - 412*c_0110_5^6 - 281*c_0110_5^4 - 31*c_0110_5^2 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.220 seconds, Total memory usage: 32.09MB