Magma V2.19-8 Tue Aug 20 2013 16:16:11 on localhost [Seed = 2000087987] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0442 geometric_solution 4.48840907 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1230 3012 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 0.489174425083 0.056697104611 2 0 2 0 0132 2310 1023 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 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.493662855876 0.177099430603 1 3 1 3 0132 0132 1023 2310 0 0 0 0 0 0 0 0 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 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 -0.651017121973 3.599467067924 2 2 5 4 3201 0132 0132 0132 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 1 0 -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 -0.219253768071 0.506318358401 5 5 3 6 1230 3012 0132 0132 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 -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 0 0 0 0 0 0 1.276324160863 1.170210904310 4 4 6 3 1230 3012 3201 0132 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 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 1.276324160863 1.170210904310 5 6 4 6 2310 1302 0132 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.382270208562 0.618145227820 ==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_6']), 'c_1100_5' : negation(d['c_0011_6']), 'c_1100_4' : negation(d['c_0011_6']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_1']), 'c_1100_0' : negation(d['c_0011_1']), 'c_1100_3' : negation(d['c_0011_6']), 'c_1100_2' : d['c_0011_1'], 'c_0101_6' : d['c_0011_4'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0011_4'], 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : negation(d['c_0011_4']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_4'], 'c_0011_4' : d['c_0011_4'], '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_0011_4']), 'c_1001_4' : negation(d['c_0011_4']), 'c_1001_6' : negation(d['c_0101_5']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0101_4']), 'c_1001_2' : negation(d['c_0011_4']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_4'], 'c_0110_2' : negation(d['c_0011_4']), 'c_0110_5' : d['c_0011_4'], 'c_0110_4' : d['c_0011_4'], 'c_0110_6' : negation(d['c_0101_5']), 'c_1010_6' : d['c_0011_6'], 'c_1010_5' : negation(d['c_0101_4']), 'c_1010_4' : negation(d['c_0101_5']), 'c_1010_3' : negation(d['c_0011_4']), 'c_1010_2' : negation(d['c_0101_4']), '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_0011_6, c_0101_0, c_0101_4, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 22 Groebner basis: [ t + 391577112783380325594907/1117811159879650478729*c_0101_5^21 - 320717155669603145426911/18324773112781155389*c_0101_5^19 - 142897642611241366453197567/1117811159879650478729*c_0101_5^17 - 1039655173490458901642058472/1117811159879650478729*c_0101_5^15 - 104621007762015559271010995/1117811159879650478729*c_0101_5^13 + 2141393590611517801312290420/1117811159879650478729*c_0101_5^11 + 1678192526238922260181912803/1117811159879650478729*c_0101_5^9 + 4564148060486865709371111/1117811159879650478729*c_0101_5^7 - 217182500835334294200546190/1117811159879650478729*c_0101_5^5 - 17780606886457484065429511/1117811159879650478729*c_0101_5^3 + 9191213420248220717264248/1117811159879650478729*c_0101_5, c_0011_0 - 1, c_0011_1 - 134460957922659687690/1117811159879650478729*c_0101_5^20 + 109545576389129455326/18324773112781155389*c_0101_5^18 + 50832538421645871802303/1117811159879650478729*c_0101_5^16 + 370669052106986520031718/1117811159879650478729*c_0101_5^14 + 135351926570320343221923/1117811159879650478729*c_0101_5^12 - 689582516499315101101524/1117811159879650478729*c_0101_5^10 - 768227918141612134486909/1117811159879650478729*c_0101_5^8 - 223316485078545033726778/1117811159879650478729*c_0101_5^6 + 17882166110839264949561/1117811159879650478729*c_0101_5^4 + 16037265879443444407426/1117811159879650478729*c_0101_5^2 - 128121014398174206075/1117811159879650478729, c_0011_4 + 220041696699791957827/1117811159879650478729*c_0101_5^20 - 179515654986249624492/18324773112781155389*c_0101_5^18 - 82445272745629785286510/1117811159879650478729*c_0101_5^16 - 600434723451430216136325/1117811159879650478729*c_0101_5^14 - 177029637497244896555372/1117811159879650478729*c_0101_5^12 + 1164894200149058439126561/1117811159879650478729*c_0101_5^10 + 1164497194747412517339041/1117811159879650478729*c_0101_5^8 + 239439704256306619301216/1117811159879650478729*c_0101_5^6 - 57704773395450452277270/1117811159879650478729*c_0101_5^4 - 16610339584030677878018/1117811159879650478729*c_0101_5^2 + 578384693963701979928/1117811159879650478729, c_0011_6 - 239143399204007612921/1117811159879650478729*c_0101_5^20 + 194917551186902149422/18324773112781155389*c_0101_5^18 + 90157224051422672527611/1117811159879650478729*c_0101_5^16 + 656556741436927390643872/1117811159879650478729*c_0101_5^14 + 221421757845254286722206/1117811159879650478729*c_0101_5^12 - 1265968983542029864191765/1117811159879650478729*c_0101_5^10 - 1328931137122861590557100/1117811159879650478729*c_0101_5^8 - 298694274199274102623296/1117811159879650478729*c_0101_5^6 + 70405360984287238281149/1117811159879650478729*c_0101_5^4 + 22622581387345503856485/1117811159879650478729*c_0101_5^2 - 1234384583782485422055/1117811159879650478729, c_0101_0 - 311332399410036520776/1117811159879650478729*c_0101_5^21 + 255354436515912809157/18324773112781155389*c_0101_5^19 + 112492098391223310043725/1117811159879650478729*c_0101_5^17 + 819678010212346371334121/1117811159879650478729*c_0101_5^15 + 32626375487891603010295/1117811159879650478729*c_0101_5^13 - 1650892475291530942541280/1117811159879650478729*c_0101_5^11 - 1216876580987081847633740/1117811159879650478729*c_0101_5^9 - 25043635067244859061946/1117811159879650478729*c_0101_5^7 + 97227182424713012618807/1117811159879650478729*c_0101_5^5 + 4431142555793003465043/1117811159879650478729*c_0101_5^3 - 4074967526477368905979/1117811159879650478729*c_0101_5, c_0101_4 - 156254451616286864851/1117811159879650478729*c_0101_5^21 + 128368974549976696146/18324773112781155389*c_0101_5^19 + 55823940554167222817207/1117811159879650478729*c_0101_5^17 + 406574728271661855949741/1117811159879650478729*c_0101_5^15 - 18758513621795767210141/1117811159879650478729*c_0101_5^13 - 840978279553451182763926/1117811159879650478729*c_0101_5^11 - 546837802756158492487550/1117811159879650478729*c_0101_5^9 + 59385330888453244626649/1117811159879650478729*c_0101_5^7 + 70540039260229912081647/1117811159879650478729*c_0101_5^5 + 2970213813677246697240/1117811159879650478729*c_0101_5^3 - 2043802438379697623743/1117811159879650478729*c_0101_5, c_0101_5^22 - 50*c_0101_5^20 - 363*c_0101_5^18 - 2641*c_0101_5^16 - 165*c_0101_5^14 + 5477*c_0101_5^12 + 4074*c_0101_5^10 - 150*c_0101_5^8 - 551*c_0101_5^6 - 23*c_0101_5^4 + 25*c_0101_5^2 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB