Magma V2.19-8 Tue Aug 20 2013 16:18:29 on localhost [Seed = 947496200] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2670 geometric_solution 5.93532201 oriented_manifold CS_known -0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 0 1 0 2 2031 0132 1302 0132 0 0 0 0 0 0 0 0 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 -1 1 0 -1 0 1 0 -1 0 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.557103818665 1.173408629153 3 0 4 4 0132 0132 1230 0132 0 0 0 0 0 0 1 -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 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 0.536810533135 0.442548772620 3 4 0 5 2031 2031 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 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 0.434556244332 0.725671979727 1 5 2 6 0132 0132 1302 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.145459652412 0.407499858820 2 6 1 1 1302 2103 0132 3012 0 0 0 0 0 -1 1 0 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 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 1.140199136950 1.794593813913 5 3 2 5 3201 0132 0132 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.947401445551 0.376079936153 6 4 3 6 3012 2103 0132 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.956731636201 0.553848901647 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(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' : negation(d['1']), 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : negation(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_6'], 'c_1100_5' : negation(d['c_0011_0']), 'c_1100_4' : d['c_0110_4'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0110_4'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_0011_6'], 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_6' : d['c_0101_1'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_2']), 'c_0101_3' : negation(d['c_0011_2']), 'c_0101_2' : d['c_0011_6'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_0']), 'c_0011_5' : negation(d['c_0011_0']), 'c_0011_4' : d['c_0011_4'], '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_0'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : d['c_0011_4'], 'c_1001_4' : d['c_0011_6'], 'c_1001_6' : d['c_0011_4'], 'c_1001_1' : negation(d['c_0110_4']), 'c_1001_0' : d['c_0011_6'], 'c_1001_3' : d['c_0101_5'], 'c_1001_2' : negation(d['c_0110_4']), 'c_0110_1' : negation(d['c_0011_2']), 'c_0110_0' : d['c_0011_6'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_5'], 'c_0110_5' : negation(d['c_0101_5']), 'c_0110_4' : d['c_0110_4'], 'c_0110_6' : d['c_0011_6'], 'c_1010_6' : d['c_0101_1'], 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : negation(d['c_0101_1']), 'c_1010_3' : d['c_0011_4'], 'c_1010_2' : d['c_0011_4'], 'c_1010_1' : d['c_0011_6'], 'c_1010_0' : negation(d['c_0110_4'])})} 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_4, c_0011_6, c_0101_1, c_0101_5, c_0110_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t + 19370708120524642822469872/4837524992794016890569675*c_0110_4^12 - 70141042379097123386536601/4837524992794016890569675*c_0110_4^11 - 34797589597534667142245639/439774999344910626415425*c_0110_4^10 - 113254635230568197903836712/322501666186267792704645*c_0110_4^9 - 9614499609119777748442887922/4837524992794016890569675*c_0110_4^8 - 7500074854556836677969629386/967504998558803378113935*c_0110_4^7 - 1530695019135569181854323589/94853431231255233148425*c_0110_4^6 - 88317595617865609793666427212/4837524992794016890569675*c_0110_4^5 - 38661108191704592102657536358/4837524992794016890569675*c_0110_4^4 + 23589075618097223219111784703/4837524992794016890569675*c_0110_4^3 + 13104790411285834759061971907/1612508330931338963523225*c_0110_4^2 + 17484232796010122754662086639/4837524992794016890569675*c_0110_4 + 465714941741909669788916554/1612508330931338963523225, c_0011_0 - 1, c_0011_2 + 333818308381774613/20904337461433660198*c_0110_4^12 - 1286839311184326087/20904337461433660198*c_0110_4^11 - 6334886600265470659/20904337461433660198*c_0110_4^10 - 13808310023942150820/10452168730716830099*c_0110_4^9 - 79287050098280513694/10452168730716830099*c_0110_4^8 - 303184096239575996576/10452168730716830099*c_0110_4^7 - 593405462304922337375/10452168730716830099*c_0110_4^6 - 592245361239827886072/10452168730716830099*c_0110_4^5 - 147290608732701994056/10452168730716830099*c_0110_4^4 + 262640673468291396834/10452168730716830099*c_0110_4^3 + 251256573802998873264/10452168730716830099*c_0110_4^2 + 57732048230342847270/10452168730716830099*c_0110_4 - 10713192720333201513/20904337461433660198, c_0011_4 + 71768510292794773/41808674922867320396*c_0110_4^12 + 33406293649835205/20904337461433660198*c_0110_4^11 - 2553831022023562479/41808674922867320396*c_0110_4^10 - 13554384065827766665/41808674922867320396*c_0110_4^9 - 61850205340283187195/41808674922867320396*c_0110_4^8 - 297570446853892229937/41808674922867320396*c_0110_4^7 - 906528129962327549293/41808674922867320396*c_0110_4^6 - 1494127285297206185667/41808674922867320396*c_0110_4^5 - 1046337762829075377457/41808674922867320396*c_0110_4^4 + 188519421249126370421/41808674922867320396*c_0110_4^3 + 810881541416357422283/41808674922867320396*c_0110_4^2 + 362035617611844940617/41808674922867320396*c_0110_4 - 316070664421598874/10452168730716830099, c_0011_6 + 12842543056/490519247793*c_0110_4^12 - 42223148344/490519247793*c_0110_4^11 - 91306452238/163506415931*c_0110_4^10 - 1190879485714/490519247793*c_0110_4^9 - 6667616377510/490519247793*c_0110_4^8 - 8884511977157/163506415931*c_0110_4^7 - 58003476865529/490519247793*c_0110_4^6 - 68397691433849/490519247793*c_0110_4^5 - 32810761660516/490519247793*c_0110_4^4 + 15524227138232/490519247793*c_0110_4^3 + 29422182836080/490519247793*c_0110_4^2 + 13960377046501/490519247793*c_0110_4 + 1834271784628/490519247793, c_0101_1 - 1584150841753936087/62713012384300980594*c_0110_4^12 + 6575663588866362205/62713012384300980594*c_0110_4^11 + 9130851970547916203/20904337461433660198*c_0110_4^10 + 62899485962936060642/31356506192150490297*c_0110_4^9 + 364719543324865294172/31356506192150490297*c_0110_4^8 + 452782983029988124482/10452168730716830099*c_0110_4^7 + 2579491455674735319640/31356506192150490297*c_0110_4^6 + 2670903585856000565074/31356506192150490297*c_0110_4^5 + 1015839184854318501380/31356506192150490297*c_0110_4^4 - 751326964090717315000/31356506192150490297*c_0110_4^3 - 1170967237571890157132/31356506192150490297*c_0110_4^2 - 565716322930981475228/31356506192150490297*c_0110_4 - 129579095031764529745/62713012384300980594, c_0101_5 + 1069573641119199211/41808674922867320396*c_0110_4^12 - 2167370901729582393/20904337461433660198*c_0110_4^11 - 19251622216448291341/41808674922867320396*c_0110_4^10 - 85371344809813237011/41808674922867320396*c_0110_4^9 - 495037692463333854805/41808674922867320396*c_0110_4^8 - 1860276204100514207139/41808674922867320396*c_0110_4^7 - 3523346891228323306183/41808674922867320396*c_0110_4^6 - 3442079305031453031389/41808674922867320396*c_0110_4^5 - 914138151411246833475/41808674922867320396*c_0110_4^4 + 1350475000462566243075/41808674922867320396*c_0110_4^3 + 1480728468095117459577/41808674922867320396*c_0110_4^2 + 532890038933440870087/41808674922867320396*c_0110_4 + 5080349458488327777/10452168730716830099, c_0110_4^13 - 3*c_0110_4^12 - 22*c_0110_4^11 - 100*c_0110_4^10 - 551*c_0110_4^9 - 2245*c_0110_4^8 - 5237*c_0110_4^7 - 7081*c_0110_4^6 - 4869*c_0110_4^5 - 71*c_0110_4^4 + 2763*c_0110_4^3 + 2177*c_0110_4^2 + 656*c_0110_4 + 55 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB