Magma V2.19-8 Tue Aug 20 2013 16:17:35 on localhost [Seed = 2867541619] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1823 geometric_solution 5.48162025 oriented_manifold CS_known -0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 1 1 2 2 0132 3201 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 -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 0.434271065238 0.238934493114 0 3 0 3 0132 0132 2310 2310 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.767621332849 0.972539367664 4 0 5 0 0132 2310 0132 0132 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 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 0.798107601912 0.733604874550 1 1 4 5 3201 0132 3012 3012 0 0 0 0 0 1 -1 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 1 -1 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 0.348729687888 1.267159146942 2 3 4 4 0132 1230 1230 3012 0 0 0 0 0 0 -1 1 -1 0 0 1 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 -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 1.085789082612 1.139701058224 6 6 3 2 0132 3201 1230 0132 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 0.143032305249 1.866944709356 5 6 5 6 0132 1302 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.527598230737 0.801912659474 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(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' : negation(d['1']), 's_1_2' : d['1'], 's_1_1' : negation(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' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : d['c_0011_5'], 'c_1100_5' : negation(d['c_0011_2']), 'c_1100_4' : d['c_0101_2'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : negation(d['c_0011_2']), 'c_1100_3' : d['c_0101_2'], 'c_1100_2' : negation(d['c_0011_2']), 'c_0101_6' : d['c_0101_2'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : negation(d['c_0101_0']), '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_5'], 'c_0011_4' : negation(d['c_0011_2']), 'c_0011_6' : negation(d['c_0011_5']), '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' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0101_2']), 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_6' : d['c_0101_5'], 'c_1001_1' : negation(d['c_0101_5']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : d['c_0011_2'], 'c_1001_2' : negation(d['c_0101_5']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0011_2']), 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_2'], 'c_0110_6' : d['c_0101_5'], 'c_1010_6' : negation(d['c_0011_5']), 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : negation(d['c_0101_0']), 'c_1010_3' : negation(d['c_0101_5']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : d['c_0011_2'], 'c_1010_0' : d['c_0101_5']})} 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_2, c_0011_5, c_0101_0, c_0101_1, c_0101_2, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 28 Groebner basis: [ t + 8294898725894395811678693271/2710131287524235315939453992*c_0101_5^\ 26 - 108472169600145290878227702517/2710131287524235315939453992*c_\ 0101_5^24 - 315045135795346262266097462305/271013128752423531593945\ 3992*c_0101_5^22 + 177052607818503716790124341887/33876641094052941\ 4492431749*c_0101_5^20 + 3111991261097473360049752141611/1355065643\ 762117657969726996*c_0101_5^18 - 410253836664369534224851863935/338\ 766410940529414492431749*c_0101_5^16 - 36833932607157725218267209338403/2710131287524235315939453992*c_010\ 1_5^14 - 14222966361178856910305823997739/1355065643762117657969726\ 996*c_0101_5^12 + 30603517767502608874607646263611/1355065643762117\ 657969726996*c_0101_5^10 + 7161474301532733709195791758925/67753282\ 1881058828984863498*c_0101_5^8 - 3838244106244911350092537574293/27\ 10131287524235315939453992*c_0101_5^6 - 6454128418501674719466385238301/1355065643762117657969726996*c_0101\ _5^4 - 34306860771312826692777810625/36623395777354531296479108*c_0\ 101_5^2 - 987260752664717657849882750/338766410940529414492431749, c_0011_0 - 1, c_0011_2 + 1529898694445886387966413/61593892898278075362260318*c_0101_\ 5^26 - 10087567322342294818595474/30796946449139037681130159*c_0101\ _5^24 - 27944223203092119069298984/30796946449139037681130159*c_010\ 1_5^22 + 267492954116629186465034931/61593892898278075362260318*c_0\ 101_5^20 + 559331488349126911885904282/30796946449139037681130159*c\ _0101_5^18 - 364919960150694915535631321/30796946449139037681130159\ *c_0101_5^16 - 6717746149683458369433557491/61593892898278075362260\ 318*c_0101_5^14 - 4501998561864850219061226469/61593892898278075362\ 260318*c_0101_5^12 + 5907998505650723504292063495/30796946449139037\ 681130159*c_0101_5^10 + 2000424752936664717140745232/30796946449139\ 037681130159*c_0101_5^8 - 1223683744534929693060857139/615938928982\ 78075362260318*c_0101_5^6 - 2321797786781001022834146983/6159389289\ 8278075362260318*c_0101_5^4 - 2709315492730452099087482/83234990403\ 0784802192707*c_0101_5^2 + 39538210302849945836273218/3079694644913\ 9037681130159, c_0011_5 - 888715851477052371249476/30796946449139037681130159*c_0101_5\ ^26 + 23528967749251641346770871/61593892898278075362260318*c_0101_\ 5^24 + 63775237990204683642372937/61593892898278075362260318*c_0101\ _5^22 - 314377904576002208241259559/61593892898278075362260318*c_01\ 01_5^20 - 642442026188047070928999879/30796946449139037681130159*c_\ 0101_5^18 + 458810536060565819573100636/30796946449139037681130159*\ c_0101_5^16 + 3889436840952807212500418125/307969464491390376811301\ 59*c_0101_5^14 + 4826248151129059848953175645/615938928982780753622\ 60318*c_0101_5^12 - 7041160446183725553539355608/307969464491390376\ 81130159*c_0101_5^10 - 2006047991589379105508182552/307969464491390\ 37681130159*c_0101_5^8 + 881834128113467333567345585/30796946449139\ 037681130159*c_0101_5^6 + 2554442132268345847386904363/615938928982\ 78075362260318*c_0101_5^4 + 2662343786861871627219274/8323499040307\ 84802192707*c_0101_5^2 - 19894791351890882441989628/307969464491390\ 37681130159, c_0101_0 + 8741263853710908155143059/123187785796556150724520636*c_0101\ _5^27 - 116696227487133578792792593/123187785796556150724520636*c_0\ 101_5^25 - 300559021005356238776197405/123187785796556150724520636*\ c_0101_5^23 + 395077305058950261585307462/3079694644913903768113015\ 9*c_0101_5^21 + 3071669838000937728799613607/6159389289827807536226\ 0318*c_0101_5^19 - 1302338915914554105073064297/3079694644913903768\ 1130159*c_0101_5^17 - 37709923487875799781053522095/123187785796556\ 150724520636*c_0101_5^15 - 9750794950707892594855965665/61593892898\ 278075362260318*c_0101_5^13 + 35848170741272166863404236043/6159389\ 2898278075362260318*c_0101_5^11 + 2999349361280691905798713626/3079\ 6946449139037681130159*c_0101_5^9 - 10440511626932002243847894389/123187785796556150724520636*c_0101_5^\ 7 - 5979117670922858626777023477/61593892898278075362260318*c_0101_\ 5^5 + 11721210658903915170898547/1664699808061569604385414*c_0101_5\ ^3 + 82762145523604911355950716/30796946449139037681130159*c_0101_5\ , c_0101_1 + 1, c_0101_2 + 3695794577766222144130211/61593892898278075362260318*c_0101_\ 5^26 - 24377929901382720314650062/30796946449139037681130159*c_0101\ _5^24 - 67384625306029559056211876/30796946449139037681130159*c_010\ 1_5^22 + 646894665098755917581701199/61593892898278075362260318*c_0\ 101_5^20 + 1349732909789238738787360263/30796946449139037681130159*\ c_0101_5^18 - 888584314798482389003157205/3079694644913903768113015\ 9*c_0101_5^16 - 16224940628365759807855004033/615938928982780753622\ 60318*c_0101_5^14 - 10798340778204717823331193975/61593892898278075\ 362260318*c_0101_5^12 + 14314380953038581647446254522/3079694644913\ 9037681130159*c_0101_5^10 + 4787611639925111356131067282/3079694644\ 9139037681130159*c_0101_5^8 - 3000412917004866514795871015/61593892\ 898278075362260318*c_0101_5^6 - 5599411378808192578216574809/615938\ 92898278075362260318*c_0101_5^4 - 6345065397750394796062066/8323499\ 04030784802192707*c_0101_5^2 + 48938081828733535472336028/307969464\ 49139037681130159, c_0101_5^28 - 13*c_0101_5^26 - 39*c_0101_5^24 + 168*c_0101_5^22 + 764*c_0101_5^20 - 340*c_0101_5^18 - 4481*c_0101_5^16 - 3768*c_0101_5^14 + 7172*c_0101_5^12 + 4076*c_0101_5^10 - 279*c_0101_5^8 - 1648*c_0101_5^6 - 432*c_0101_5^4 - 8*c_0101_5^2 + 4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.220 seconds, Total memory usage: 32.09MB