Magma V2.19-8 Tue Aug 20 2013 16:18:00 on localhost [Seed = 2227509322] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2240 geometric_solution 5.67210073 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 1 0132 0132 0132 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.424854083551 1.947332065312 0 4 5 0 0132 0132 0132 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.170764995701 0.444998755118 5 0 3 3 0213 0132 1302 2031 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 1 -1 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 0.232147347154 0.470096172796 2 2 4 0 2031 1302 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 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 0.232147347154 0.470096172796 5 1 3 6 2031 0132 3120 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 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 1.055192093241 0.602754099737 2 6 4 1 0213 2310 1302 0132 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.055192093241 0.602754099737 6 6 4 5 1302 2031 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 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 1.227963457622 0.528893267769 ==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' : 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' : d['c_0011_3'], 'c_1100_5' : d['c_0101_4'], 'c_1100_4' : d['c_0011_3'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0101_4'], 'c_1100_0' : negation(d['c_0101_4']), 'c_1100_3' : negation(d['c_0101_4']), 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_6' : negation(d['c_0011_6']), 'c_0101_5' : negation(d['c_0011_0']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_3']), 'c_0101_2' : negation(d['c_0011_3']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_0'], 'c_0011_6' : d['c_0011_6'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0011_6']), 'c_1001_4' : d['c_0101_1'], 'c_1001_6' : negation(d['c_0110_6']), 'c_1001_1' : negation(d['c_0110_6']), 'c_1001_0' : d['c_0011_3'], 'c_1001_3' : negation(d['c_0101_1']), 'c_1001_2' : d['c_0101_0'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_1']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0011_6']), 'c_0110_6' : d['c_0110_6'], 'c_1010_6' : d['c_0011_6'], 'c_1010_5' : negation(d['c_0110_6']), 'c_1010_4' : negation(d['c_0110_6']), 'c_1010_3' : d['c_0011_3'], 'c_1010_2' : d['c_0011_3'], 'c_1010_1' : d['c_0101_1'], '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_3, c_0011_6, c_0101_0, c_0101_1, c_0101_4, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t + 9589726921493560469/141184134037598855984*c_0110_6^15 - 4737002181489276553/17648016754699856998*c_0110_6^14 - 1292727265294986567/141184134037598855984*c_0110_6^13 + 125596715883036482669/70592067018799427992*c_0110_6^12 - 929681092806885680025/141184134037598855984*c_0110_6^11 - 1337474872590670533711/141184134037598855984*c_0110_6^10 - 4356679787264503884487/141184134037598855984*c_0110_6^9 - 10658564035095943644745/141184134037598855984*c_0110_6^8 - 5934888714465513246685/141184134037598855984*c_0110_6^7 - 5669065358837751051653/141184134037598855984*c_0110_6^6 - 1030011982706959863575/17648016754699856998*c_0110_6^5 - 1592621008113700019901/141184134037598855984*c_0110_6^4 - 115727548484112766511/141184134037598855984*c_0110_6^3 + 109896783033161857617/141184134037598855984*c_0110_6^2 + 1669490869664947607957/70592067018799427992*c_0110_6 + 1177666618721518118861/70592067018799427992, c_0011_0 - 1, c_0011_3 - 2346939709042909718/8824008377349928499*c_0110_6^15 + 11515581299739238126/8824008377349928499*c_0110_6^14 - 3187405742463720446/8824008377349928499*c_0110_6^13 - 87524804649091268650/8824008377349928499*c_0110_6^12 + 280128818287352528225/8824008377349928499*c_0110_6^11 + 370549531485883436425/8824008377349928499*c_0110_6^10 + 80211482638247181611/8824008377349928499*c_0110_6^9 + 315620198996170689006/8824008377349928499*c_0110_6^8 + 226465762866398479170/8824008377349928499*c_0110_6^7 - 14965017600031501091/8824008377349928499*c_0110_6^6 + 37151177312127251987/8824008377349928499*c_0110_6^5 - 55939959633468433759/8824008377349928499*c_0110_6^4 - 168286792478307304558/8824008377349928499*c_0110_6^3 - 81546558348633615396/8824008377349928499*c_0110_6^2 + 8793897620990565485/8824008377349928499*c_0110_6 + 15944222501497361033/8824008377349928499, c_0011_6 + 3201203180903132885/8824008377349928499*c_0110_6^15 - 15328171127139968611/8824008377349928499*c_0110_6^14 + 2294136954896982478/8824008377349928499*c_0110_6^13 + 120770603116083827979/8824008377349928499*c_0110_6^12 - 367765572694262538827/8824008377349928499*c_0110_6^11 - 558459489196686128472/8824008377349928499*c_0110_6^10 - 148375304257004769078/8824008377349928499*c_0110_6^9 - 400968406033169491062/8824008377349928499*c_0110_6^8 - 353510920380927711318/8824008377349928499*c_0110_6^7 + 15481250350500718934/8824008377349928499*c_0110_6^6 - 5082050276067906776/8824008377349928499*c_0110_6^5 + 63970419617267262981/8824008377349928499*c_0110_6^4 + 251825983244889699786/8824008377349928499*c_0110_6^3 + 140271662878968678059/8824008377349928499*c_0110_6^2 - 25558385603581386631/8824008377349928499*c_0110_6 - 30974854836555604929/8824008377349928499, c_0101_0 + 614694977901801041/8824008377349928499*c_0110_6^15 - 2399916452989003426/8824008377349928499*c_0110_6^14 - 2844827341498568333/8824008377349928499*c_0110_6^13 + 27317780925892047933/8824008377349928499*c_0110_6^12 - 53090985206975148946/8824008377349928499*c_0110_6^11 - 193742800824108563616/8824008377349928499*c_0110_6^10 - 28171247106244595544/8824008377349928499*c_0110_6^9 - 45730483462597158140/8824008377349928499*c_0110_6^8 - 150367343680111015411/8824008377349928499*c_0110_6^7 + 31645665190687010466/8824008377349928499*c_0110_6^6 + 8330263502528831155/8824008377349928499*c_0110_6^5 - 5562383985979625944/8824008377349928499*c_0110_6^4 + 72181453346437598487/8824008377349928499*c_0110_6^3 + 41574555929225889904/8824008377349928499*c_0110_6^2 - 19560110141536491523/8824008377349928499*c_0110_6 - 13677309211417643238/8824008377349928499, c_0101_1 - 1355818368376079064/8824008377349928499*c_0110_6^15 + 5669566295374238927/8824008377349928499*c_0110_6^14 + 3442205634227953374/8824008377349928499*c_0110_6^13 - 54360794363758347115/8824008377349928499*c_0110_6^12 + 126805496495798273112/8824008377349928499*c_0110_6^11 + 348319872839813750316/8824008377349928499*c_0110_6^10 + 138504910461228966223/8824008377349928499*c_0110_6^9 + 168375378020971322977/8824008377349928499*c_0110_6^8 + 280782665676883628021/8824008377349928499*c_0110_6^7 + 16785557190551306162/8824008377349928499*c_0110_6^6 - 5892701563634269132/8824008377349928499*c_0110_6^5 + 5968346543934535126/8824008377349928499*c_0110_6^4 - 140496665608594148600/8824008377349928499*c_0110_6^3 - 107180936727275967058/8824008377349928499*c_0110_6^2 + 1560568366307535621/8824008377349928499*c_0110_6 + 18366037137136071683/8824008377349928499, c_0101_4 + 1, c_0110_6^16 - 4*c_0110_6^15 - 3*c_0110_6^14 + 38*c_0110_6^13 - 85*c_0110_6^12 - 263*c_0110_6^11 - 191*c_0110_6^10 - 169*c_0110_6^9 - 213*c_0110_6^8 - 93*c_0110_6^7 - 4*c_0110_6^6 + 15*c_0110_6^5 + 89*c_0110_6^4 + 105*c_0110_6^3 + 30*c_0110_6^2 - 14*c_0110_6 - 8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB