Magma V2.19-8 Tue Aug 20 2013 23:55:46 on localhost [Seed = 947802124] Type ? for help. Type -D to quit. Loading file "L14n13113__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n13113 geometric_solution 9.43679642 oriented_manifold CS_known 0.0000000000000004 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 1 2 0132 0132 2310 2310 1 1 1 1 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 0 1 0 0 0 0 0 0 0 0 0 -12 12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1.105207421361 1.935988466926 0 0 3 3 0132 3201 3201 0132 1 1 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 0 0 0 0 0 0 0 0 -12 0 12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.389939203650 0.203173151918 0 0 5 4 3201 0132 0132 0132 1 1 1 1 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 0 0 0 0 -1 12 0 -11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.024245357687 0.457006285126 1 6 1 7 2310 0132 0132 0132 1 1 1 1 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 12 -12 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 0.512201446445 0.566710223160 8 9 2 9 0132 0132 0132 1230 1 1 0 1 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 -1 1 0 0 0 0 0 -1 -1 0 2 -11 0 11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.138056108307 0.830384908657 6 8 9 2 3012 2310 1230 0132 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 1.150950754620 2.860822217326 10 3 7 5 0132 0132 1302 1230 1 1 1 1 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 0 0 0 0 0 -12 12 0 11 0 -11 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 -0.392589721400 0.979482386301 6 10 3 10 2031 1302 0132 3201 1 1 1 1 0 0 0 0 1 0 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 -12 0 0 12 -1 1 0 0 11 -12 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.889614968161 1.703584937453 4 11 11 5 0132 0132 1302 3201 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 11 -11 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.037875907006 0.584543244605 4 4 11 5 3012 0132 0132 3012 1 1 1 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 1 -1 0 0 0 0 0 0 0 0 0 -2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.573411555506 0.418390884831 6 7 11 7 0132 2310 0321 2031 1 1 1 1 0 0 0 0 1 0 -1 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 1 -1 -11 0 11 0 0 -12 0 12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.889614968161 1.703584937453 8 8 10 9 2031 0132 0321 0132 1 1 0 1 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 -1 1 0 0 0 0 1 0 0 -1 0 11 -11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.889614968161 1.703584937453 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_10'], 'c_1001_10' : d['c_1001_10'], 'c_1001_5' : negation(d['c_1001_10']), 'c_1001_4' : negation(d['c_0101_5']), 'c_1001_7' : negation(d['c_0011_7']), 'c_1001_6' : negation(d['c_0011_7']), 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : negation(d['c_0101_5']), 'c_1001_3' : d['c_0101_5'], 'c_1001_2' : negation(d['c_0101_4']), 'c_1001_9' : d['c_0101_9'], 'c_1001_8' : d['c_0101_9'], 'c_1010_11' : d['c_0101_9'], 'c_1010_10' : d['c_0011_7'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0011_5']), 'c_0101_10' : d['c_0011_5'], '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_2_7' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : 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_9' : d['c_1001_10'], 'c_1100_8' : negation(d['c_0011_5']), 'c_1100_5' : d['c_0110_9'], 'c_1100_4' : d['c_0110_9'], 'c_1100_7' : negation(d['c_0011_10']), 'c_1100_6' : negation(d['c_0101_1']), 'c_1100_1' : negation(d['c_0011_10']), 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0011_10']), 'c_1100_2' : d['c_0110_9'], 's_3_11' : d['1'], 'c_1100_11' : d['c_1001_10'], 'c_1100_10' : d['c_1001_10'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_1001_10']), 'c_1010_6' : d['c_0101_5'], 'c_1010_5' : negation(d['c_0101_4']), 'c_1010_4' : d['c_0101_9'], 'c_1010_3' : negation(d['c_0011_7']), 'c_1010_2' : negation(d['c_0101_5']), 'c_1010_1' : d['c_0101_5'], 'c_1010_0' : negation(d['c_0101_4']), 'c_1010_9' : negation(d['c_0101_5']), 'c_1010_8' : d['c_1001_10'], '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_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 's_1_7' : 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_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_11']), 'c_0011_8' : negation(d['c_0011_11']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_11'], 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : negation(d['c_0011_10']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_10'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_9'], 'c_0110_10' : negation(d['c_0011_7']), 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : negation(d['c_0101_1']), 'c_0101_6' : negation(d['c_0011_7']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : negation(d['c_0101_1']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : negation(d['c_0011_11']), 'c_0011_10' : d['c_0011_10'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0110_9'], 'c_0110_8' : d['c_0101_4'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : negation(d['c_0101_1']), 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : negation(d['c_0101_1']), 'c_0110_4' : negation(d['c_0011_11']), 'c_0110_7' : negation(d['c_0011_7']), 'c_0110_6' : d['c_0011_5']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_5, c_0011_7, c_0101_0, c_0101_1, c_0101_4, c_0101_5, c_0101_9, c_0110_9, c_1001_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 2620451518725773827533906925/10079863269602514032969632*c_1001_10^1\ 1 + 1191613764302263859760183465/1259982908700314254121204*c_1001_1\ 0^10 - 15454763383039664356573856181/5039931634801257016484816*c_10\ 01_10^9 + 3441535936302855883668079147/5039931634801257016484816*c_\ 1001_10^8 + 7164232086737476632837932183/1259982908700314254121204*\ c_1001_10^7 + 17511390546416012224136920339/10079863269602514032969\ 632*c_1001_10^6 - 2489634955865263786614790815/12599829087003142541\ 21204*c_1001_10^5 - 5760802448989145317895374853/503993163480125701\ 6484816*c_1001_10^4 - 352111907663027996939688631/22908780158187531\ 8931128*c_1001_10^3 - 688300161179928244523524001/35999511677151835\ 8320344*c_1001_10^2 - 360316566668663619406757825/12599829087003142\ 54121204*c_1001_10 + 302571489091228919383294731/125998290870031425\ 4121204, c_0011_0 - 1, c_0011_10 - 1995553314736525/139940173509322808*c_1001_10^11 - 5142178166156365/34985043377330702*c_1001_10^10 + 7980663429160083/69970086754661404*c_1001_10^9 + 134388808931069539/69970086754661404*c_1001_10^8 - 80919927934316239/17492521688665351*c_1001_10^7 + 251013639508031141/139940173509322808*c_1001_10^6 + 86509265717879563/34985043377330702*c_1001_10^5 + 68779041545503403/69970086754661404*c_1001_10^4 - 32031917864166768/17492521688665351*c_1001_10^3 + 13106981071059451/34985043377330702*c_1001_10^2 - 2110327825656539/17492521688665351*c_1001_10 - 8559863445940147/17492521688665351, c_0011_11 - 1, c_0011_5 - 229508847633455375/279880347018645616*c_1001_10^11 - 32395183617205975/17492521688665351*c_1001_10^10 + 906180501494589365/69970086754661404*c_1001_10^9 - 2501728731399097081/139940173509322808*c_1001_10^8 - 109405190514446287/34985043377330702*c_1001_10^7 + 2203751054069791955/279880347018645616*c_1001_10^6 + 121391871631698399/34985043377330702*c_1001_10^5 - 18560160894430609/17492521688665351*c_1001_10^4 + 267100914012853215/69970086754661404*c_1001_10^3 - 53740754578226213/69970086754661404*c_1001_10^2 - 34769436459608070/17492521688665351*c_1001_10 + 36824125114989603/34985043377330702, c_0011_7 + 127475197576878325/279880347018645616*c_1001_10^11 + 62393777247941845/69970086754661404*c_1001_10^10 - 133929498836290028/17492521688665351*c_1001_10^9 + 1639033417095756243/139940173509322808*c_1001_10^8 + 18978154719329010/17492521688665351*c_1001_10^7 - 2214451941597541897/279880347018645616*c_1001_10^6 - 120645606957529927/69970086754661404*c_1001_10^5 + 234123076925561181/69970086754661404*c_1001_10^4 - 209631020394850713/69970086754661404*c_1001_10^3 + 14084369694641299/69970086754661404*c_1001_10^2 + 36853615071093462/17492521688665351*c_1001_10 - 20262289908678877/34985043377330702, c_0101_0 + 52637120712249225/69970086754661404*c_1001_10^11 + 161211825608095615/69970086754661404*c_1001_10^10 - 179650876017692476/17492521688665351*c_1001_10^9 + 263911421995906071/34985043377330702*c_1001_10^8 + 223564255297968601/17492521688665351*c_1001_10^7 - 82419506690782877/69970086754661404*c_1001_10^6 - 574260002482234359/69970086754661404*c_1001_10^5 - 77950659320787/17492521688665351*c_1001_10^4 - 43615714838963320/17492521688665351*c_1001_10^3 - 101056611779738879/34985043377330702*c_1001_10^2 + 20934855611364189/17492521688665351*c_1001_10 + 11603024858641063/17492521688665351, c_0101_1 - 18849024747044225/34985043377330702*c_1001_10^11 - 18359133617003470/17492521688665351*c_1001_10^10 + 157251299347542562/17492521688665351*c_1001_10^9 - 247186736238822637/17492521688665351*c_1001_10^8 + 172038846396504/17492521688665351*c_1001_10^7 + 265969948480366477/34985043377330702*c_1001_10^6 + 25147836969392603/17492521688665351*c_1001_10^5 - 33035309030847548/17492521688665351*c_1001_10^4 + 36736177091117540/17492521688665351*c_1001_10^3 - 44809954358418106/17492521688665351*c_1001_10^2 - 43610675650348465/17492521688665351*c_1001_10 + 14390748419759941/17492521688665351, c_0101_4 - 410111760250046275/279880347018645616*c_1001_10^11 - 141140972610819295/34985043377330702*c_1001_10^10 + 1464189962743245639/69970086754661404*c_1001_10^9 - 3115282625529458341/139940173509322808*c_1001_10^8 - 481405783929692095/34985043377330702*c_1001_10^7 + 1273708497599069911/279880347018645616*c_1001_10^6 + 125413236871364343/17492521688665351*c_1001_10^5 - 14829607919960059/34985043377330702*c_1001_10^4 + 460780192598589003/69970086754661404*c_1001_10^3 + 233669993856078187/69970086754661404*c_1001_10^2 - 8788756444813177/17492521688665351*c_1001_10 + 29094522458687103/34985043377330702, c_0101_5 - 136475657183248775/139940173509322808*c_1001_10^11 - 85555351042984865/34985043377330702*c_1001_10^10 + 257899112515972002/17492521688665351*c_1001_10^9 - 1243265713206267919/69970086754661404*c_1001_10^8 - 131338325303457618/17492521688665351*c_1001_10^7 + 1049314467027538331/139940173509322808*c_1001_10^6 + 141959424603808651/34985043377330702*c_1001_10^5 + 9520861640116629/34985043377330702*c_1001_10^4 + 97983904250344419/17492521688665351*c_1001_10^3 + 26483536450558119/34985043377330702*c_1001_10^2 - 64267886918637884/17492521688665351*c_1001_10 + 8012579685755848/17492521688665351, c_0101_9 + 2274279543706528825/1959162429130519312*c_1001_10^11 + 426996900214194230/122447651820657457*c_1001_10^10 - 7745419147127345107/489790607282629828*c_1001_10^9 + 13040656004750949291/979581214565259656*c_1001_10^8 + 3816369890185838211/244895303641314914*c_1001_10^7 - 1826975182565172421/1959162429130519312*c_1001_10^6 - 1673452122355920037/244895303641314914*c_1001_10^5 - 205246103794937771/122447651820657457*c_1001_10^4 - 3195728992249597795/489790607282629828*c_1001_10^3 - 364761375653389623/69970086754661404*c_1001_10^2 + 25557166254750141/122447651820657457*c_1001_10 + 32902284741796781/244895303641314914, c_0110_9 + 502460161999952925/279880347018645616*c_1001_10^11 + 150345718277396815/34985043377330702*c_1001_10^10 - 1937776951558477373/69970086754661404*c_1001_10^9 + 4988260157811632919/139940173509322808*c_1001_10^8 + 372081841121361523/34985043377330702*c_1001_10^7 - 4302379988124868617/279880347018645616*c_1001_10^6 - 131675648117753525/17492521688665351*c_1001_10^5 + 27599460148744589/34985043377330702*c_1001_10^4 - 659036531014230891/69970086754661404*c_1001_10^3 + 773681677109975/69970086754661404*c_1001_10^2 + 116529845066911305/17492521688665351*c_1001_10 - 52849284486501299/34985043377330702, c_1001_10^12 + 17/5*c_1001_10^11 - 316/25*c_1001_10^10 + 138/25*c_1001_10^9 + 526/25*c_1001_10^8 + 7/5*c_1001_10^7 - 217/25*c_1001_10^6 - 56/25*c_1001_10^5 - 124/25*c_1001_10^4 - 152/25*c_1001_10^3 + 12/25*c_1001_10^2 + 24/25*c_1001_10 - 8/25 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.240 Total time: 0.450 seconds, Total memory usage: 32.09MB