Magma V2.19-8 Tue Aug 20 2013 16:16:26 on localhost [Seed = 4105529371] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0716 geometric_solution 4.66877532 oriented_manifold CS_known 0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 1 0 1 0 0132 2310 1023 3201 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 -1 1 0 0 0 -1 1 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.713458593262 0.123426556000 0 2 0 2 0132 0132 1023 1023 0 0 0 0 0 0 0 0 0 0 1 -1 -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 1 -1 0 0 -1 1 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.564289377201 0.405362739188 3 1 4 1 0132 0132 0132 1023 0 0 0 0 0 0 -1 1 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 1 -1 -1 0 0 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 2.631919241454 1.693022361231 2 4 4 5 0132 3201 2310 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 1 -1 0 1 0 -1 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 -0.129258421474 0.621901821049 5 3 3 2 0132 3201 2310 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 1 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.129258421474 0.621901821049 4 6 3 6 0132 0132 0132 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2.059605467608 1.394953417738 6 5 6 5 2310 0132 3201 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.454112599511 0.440821613040 ==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' : negation(d['1']), 's_3_0' : negation(d['1']), 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : negation(d['1']), 's_2_3' : negation(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' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_0_6' : d['1'], 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : negation(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_0011_4'], 'c_1100_4' : negation(d['c_0011_0']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_0011_4'], 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_2'], 'c_0101_4' : d['c_0101_3'], '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' : negation(d['c_0011_4']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_4'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_0']), 'c_0011_2' : d['c_0011_0'], 'c_1001_5' : d['c_0101_3'], 'c_1001_4' : negation(d['c_0101_3']), 'c_1001_6' : negation(d['c_0101_6']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0101_3']), 'c_1001_2' : d['c_0101_3'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_2'], 'c_0110_2' : d['c_0101_3'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0101_2'], 'c_0110_6' : negation(d['c_0101_6']), 'c_1010_6' : d['c_0101_3'], 'c_1010_5' : negation(d['c_0101_6']), 'c_1010_4' : d['c_0101_3'], 'c_1010_3' : d['c_0101_3'], 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : d['c_0101_3'], 'c_1010_0' : negation(d['c_0101_1'])})} 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_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 20 Groebner basis: [ t - 3092849294405523857580967344839573/5550815798193342045139557532901*\ c_0101_6^19 + 702045163521348894298992674710604373/1110163159638668\ 4090279115065802*c_0101_6^17 - 180767104327712319940005491722874575\ 93/22203263192773368180558230131604*c_0101_6^15 + 457677950773135346935019140313326536795/888130527710934727222329205\ 26416*c_0101_6^13 - 302812689022184958351653328054507948421/2220326\ 3192773368180558230131604*c_0101_6^11 + 846162690542084089280760251465560593669/444065263855467363611164602\ 63208*c_0101_6^9 - 1336484035853240722085835859112699508983/8881305\ 2771093472722232920526416*c_0101_6^7 + 549416286946733289001272180585839067309/888130527710934727222329205\ 26416*c_0101_6^5 - 44066517637667557674536483747481425123/444065263\ 85546736361116460263208*c_0101_6^3 + 776035626148449533413393156280593613/888130527710934727222329205264\ 16*c_0101_6, c_0011_0 - 1, c_0011_4 + 3500438155542798121406778704/135385751175447366954623354461*\ c_0101_6^18 - 395855472771107283281776859400/1353857511754473669546\ 23354461*c_0101_6^16 + 4953836333068510761805343543012/135385751175\ 447366954623354461*c_0101_6^14 - 30401588158852452570300960388443/1\ 35385751175447366954623354461*c_0101_6^12 + 73838687897289102651283314610306/135385751175447366954623354461*c_0\ 101_6^10 - 92827947708874526357980748573133/13538575117544736695462\ 3354461*c_0101_6^8 + 63458943021089211221813857900801/1353857511754\ 47366954623354461*c_0101_6^6 - 20280516947437579974595639385955/135\ 385751175447366954623354461*c_0101_6^4 + 1950362246471268418644975639123/135385751175447366954623354461*c_01\ 01_6^2 + 11770373954800713370098473551/1353857511754473669546233544\ 61, c_0101_0 - 126245726344381097184010950944/13538575117544736695462335446\ 1*c_0101_6^19 + 14329229495064399218947140888672/135385751175447366\ 954623354461*c_0101_6^17 - 184578437173128614618825460267120/135385\ 751175447366954623354461*c_0101_6^15 + 1169073705340178473758710612030386/135385751175447366954623354461*c\ _0101_6^13 - 3099489323232905443229572889524731/1353857511754473669\ 54623354461*c_0101_6^11 + 4343125116251343492774475046273562/135385\ 751175447366954623354461*c_0101_6^9 - 3446401194223227245495479291292299/135385751175447366954623354461*c\ _0101_6^7 + 1431216171364770594148400213466574/13538575117544736695\ 4623354461*c_0101_6^5 - 236998017070326244997202234487409/135385751\ 175447366954623354461*c_0101_6^3 + 3598620254003507182626986514085/135385751175447366954623354461*c_01\ 01_6, c_0101_1 - 383063227052254777121104805744/13538575117544736695462335446\ 1*c_0101_6^19 + 43476079833981805717785619293208/135385751175447366\ 954623354461*c_0101_6^17 - 559761041090164108077589148801468/135385\ 751175447366954623354461*c_0101_6^15 + 3543322514116029715328207315693745/135385751175447366954623354461*c\ _0101_6^13 - 9378955209486179848832857871700886/1353857511754473669\ 54623354461*c_0101_6^11 + 13105691521875680097680290852229790/13538\ 5751175447366954623354461*c_0101_6^9 - 10351361758443552310462543441235227/135385751175447366954623354461*\ c_0101_6^7 + 4256472599672602863073432001128096/1353857511754473669\ 54623354461*c_0101_6^5 - 683558094276448438319962333156652/13538575\ 1175447366954623354461*c_0101_6^3 + 6372859760038809740656296494803/135385751175447366954623354461*c_01\ 01_6, c_0101_2 - 37400189724721787415154366416/135385751175447366954623354461\ *c_0101_6^19 + 4247693899548421704939027754840/13538575117544736695\ 4623354461*c_0101_6^17 - 54982661390508506276198264854844/135385751\ 175447366954623354461*c_0101_6^15 + 350040824302719146545478687299487/135385751175447366954623354461*c_\ 0101_6^13 - 940505381695497071271248459835629/135385751175447366954\ 623354461*c_0101_6^11 + 1337674976791596627619000736942814/13538575\ 1175447366954623354461*c_0101_6^9 - 1081111213348886457029383398448955/135385751175447366954623354461*c\ _0101_6^7 + 462015556177083840345681218070187/135385751175447366954\ 623354461*c_0101_6^5 - 80893297869015578335306128962772/13538575117\ 5447366954623354461*c_0101_6^3 + 2105285446202540474693769742865/13\ 5385751175447366954623354461*c_0101_6, c_0101_3 - 4190811420605782933043078096/135385751175447366954623354461*\ c_0101_6^19 + 476722110988774380529984482248/1353857511754473669546\ 23354461*c_0101_6^17 - 6246007690202005170381623156484/135385751175\ 447366954623354461*c_0101_6^15 + 40258669031075776429361398015843/1\ 35385751175447366954623354461*c_0101_6^13 - 111549419762528575825306945887218/135385751175447366954623354461*c_\ 0101_6^11 + 163511030241851025286030279217397/135385751175447366954\ 623354461*c_0101_6^9 - 136263241788701738600778655893850/1353857511\ 75447366954623354461*c_0101_6^7 + 60635825426710297352084735624943/\ 135385751175447366954623354461*c_0101_6^5 - 11345214905968363377463307477900/135385751175447366954623354461*c_0\ 101_6^3 + 626454180348891111874920599252/13538575117544736695462335\ 4461*c_0101_6, c_0101_6^20 - 227/2*c_0101_6^18 + 5847/4*c_0101_6^16 - 148099/16*c_0101_6^14 + 392387/16*c_0101_6^12 - 274591/8*c_0101_6^10 + 434933/16*c_0101_6^8 - 44967/4*c_0101_6^6 + 29415/16*c_0101_6^4 - 399/16*c_0101_6^2 + 1/16 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB