Magma V2.19-8 Tue Aug 20 2013 23:42:51 on localhost [Seed = 2648438999] Type ? for help. Type -D to quit. Loading file "L13n5988__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n5988 geometric_solution 10.31729165 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 1 2 3 0132 1230 0132 0132 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 0 0 0 0 0 0 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 0 0 -0.185843781878 0.679872477527 0 4 0 5 0132 0132 3012 0132 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 -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 1.374108421625 1.368601181617 6 7 7 0 0132 0132 1023 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.269118425701 0.994356838001 8 8 0 6 0132 1302 0132 2031 1 1 1 0 0 0 0 0 0 0 0 0 1 -1 0 0 -1 1 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 -5 5 0 0 4 -5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.515542650722 0.850821697960 9 1 10 9 0132 0132 0132 2031 1 1 0 1 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 -4 0 4 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 0.321089064937 0.880317505539 10 7 1 6 2103 1302 0132 2103 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 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 0.306360090222 0.421095867629 2 3 9 5 0132 1302 2031 2103 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.281432219148 0.876404326101 10 2 2 5 1023 0132 1023 2031 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.987288840224 0.803955410238 3 9 10 3 0132 1230 3201 2031 1 1 0 1 0 -1 0 1 0 0 0 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 4 1 -5 0 0 0 0 -4 -1 0 5 5 0 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.505381937931 0.887570225098 4 4 8 6 0132 1302 3012 1302 1 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 0 0 0 0 0 0 0 0 4 0 -4 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 0.634318695672 1.002574328439 8 7 5 4 2310 1023 2103 0132 1 1 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 0 0 0 0 0 0 5 0 -1 -4 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.476681193025 0.634999080261 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : d['c_0011_5'], 'c_1001_5' : d['c_0110_7'], 'c_1001_4' : d['c_0110_7'], 'c_1001_7' : d['c_0101_2'], 'c_1001_6' : negation(d['c_0101_4']), 'c_1001_1' : negation(d['c_0011_0']), 'c_1001_0' : d['c_0101_2'], 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : d['c_0011_5'], 'c_1001_9' : d['c_0011_3'], 'c_1001_8' : negation(d['c_0101_0']), 'c_1010_10' : d['c_0110_7'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_10' : d['c_0101_0'], '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_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_0101_0'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_0101_2']), 'c_1100_4' : negation(d['c_0110_5']), 'c_1100_7' : negation(d['c_1010_5']), 'c_1100_6' : negation(d['c_0110_5']), 'c_1100_1' : negation(d['c_0101_2']), 'c_1100_0' : d['c_1010_5'], 'c_1100_3' : d['c_1010_5'], 'c_1100_2' : d['c_1010_5'], 'c_1100_10' : negation(d['c_0110_5']), 'c_1010_7' : d['c_0011_5'], 'c_1010_6' : negation(d['c_1010_5']), 'c_1010_5' : d['c_1010_5'], 'c_1010_4' : negation(d['c_0011_0']), 'c_1010_3' : d['c_0011_10'], 'c_1010_2' : d['c_0101_2'], 'c_1010_1' : d['c_0110_7'], 'c_1010_0' : d['c_0101_1'], 'c_1010_9' : d['c_0110_5'], 'c_1010_8' : d['c_0011_3'], 'c_1100_8' : negation(d['c_0011_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_0']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_10'], 'c_0011_6' : 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_3'], 'c_0011_2' : negation(d['c_0011_10']), 'c_0110_10' : d['c_0101_4'], 'c_0101_7' : d['c_0011_5'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_3'], 'c_0101_8' : negation(d['c_0101_4']), 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_4'], 'c_0110_8' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_4']), 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0011_3'], 'c_0110_7' : d['c_0110_7'], 'c_0110_6' : d['c_0101_2']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_5, c_0101_0, c_0101_1, c_0101_2, c_0101_4, c_0110_5, c_0110_7, c_1010_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 7131100027453766977/3654892444832861375*c_1010_5^11 - 340449426022744778721/14619569779331445500*c_1010_5^10 - 61812032919699832161/2923913955866289100*c_1010_5^9 + 3197509734077012212321/14619569779331445500*c_1010_5^8 - 952266815503291897482/3654892444832861375*c_1010_5^7 - 9754999139507274996933/14619569779331445500*c_1010_5^6 + 3782623692404150158479/1329051798121040500*c_1010_5^5 - 14382550051626980526877/3654892444832861375*c_1010_5^4 + 23015880802181702111513/7309784889665722750*c_1010_5^3 - 9875402559717343301579/14619569779331445500*c_1010_5^2 - 8785346737324988478073/14619569779331445500*c_1010_5 + 3615065259334462754259/7309784889665722750, c_0011_0 - 1, c_0011_10 - 31528691382566/1538902082034889*c_1010_5^11 + 1505975570210173/6155608328139556*c_1010_5^10 + 1319424585436651/6155608328139556*c_1010_5^9 - 3425822864863439/1538902082034889*c_1010_5^8 + 17485417039651307/6155608328139556*c_1010_5^7 + 38964580731652299/6155608328139556*c_1010_5^6 - 4109876240035149/139900189275899*c_1010_5^5 + 67216869279108407/1538902082034889*c_1010_5^4 - 126402472563466303/3077804164069778*c_1010_5^3 + 53065259952631837/3077804164069778*c_1010_5^2 - 15969269370028047/6155608328139556*c_1010_5 - 10685438494675097/6155608328139556, c_0011_3 - 2561155461946181/67711691609535116*c_1010_5^11 + 31333697853877669/67711691609535116*c_1010_5^10 + 18007271628118573/67711691609535116*c_1010_5^9 - 288238968165331699/67711691609535116*c_1010_5^8 + 435493887987563737/67711691609535116*c_1010_5^7 + 708608620076533323/67711691609535116*c_1010_5^6 - 89302771974123293/1538902082034889*c_1010_5^5 + 3241612542758465003/33855845804767558*c_1010_5^4 - 1620053464981018446/16927922902383779*c_1010_5^3 + 3241886864416103967/67711691609535116*c_1010_5^2 - 566534571729093635/67711691609535116*c_1010_5 - 304702585615284353/67711691609535116, c_0011_5 - 10166273716966/1538902082034889*c_1010_5^11 + 116606650217474/1538902082034889*c_1010_5^10 + 654168718308315/6155608328139556*c_1010_5^9 - 4198677834247155/6155608328139556*c_1010_5^8 + 3381001255286335/6155608328139556*c_1010_5^7 + 14661777131179517/6155608328139556*c_1010_5^6 - 4641345341807097/559600757103596*c_1010_5^5 + 15128263129326623/1538902082034889*c_1010_5^4 - 23973241041123193/3077804164069778*c_1010_5^3 + 4581014954928639/6155608328139556*c_1010_5^2 + 2085532971284159/1538902082034889*c_1010_5 - 537625667422104/1538902082034889, c_0101_0 - 1, c_0101_1 + 162956357368969/33855845804767558*c_1010_5^11 - 4054958862915065/67711691609535116*c_1010_5^10 - 776564272732635/33855845804767558*c_1010_5^9 + 9550611903052952/16927922902383779*c_1010_5^8 - 30919708166654943/33855845804767558*c_1010_5^7 - 21986506909382310/16927922902383779*c_1010_5^6 + 48038639802057265/6155608328139556*c_1010_5^5 - 450998409750313433/33855845804767558*c_1010_5^4 + 880536993952243401/67711691609535116*c_1010_5^3 - 407368981148789941/67711691609535116*c_1010_5^2 - 9893896777497517/16927922902383779*c_1010_5 + 17441709105805280/16927922902383779, c_0101_2 - 39518485252527/6155608328139556*c_1010_5^11 + 115771134192979/1538902082034889*c_1010_5^10 + 517281854872221/6155608328139556*c_1010_5^9 - 4185162458221805/6155608328139556*c_1010_5^8 + 4543677630700649/6155608328139556*c_1010_5^7 + 3329078394308431/1538902082034889*c_1010_5^6 - 4883365581485227/559600757103596*c_1010_5^5 + 71978148870757917/6155608328139556*c_1010_5^4 - 62972713725347007/6155608328139556*c_1010_5^3 + 19996261260092693/6155608328139556*c_1010_5^2 + 647025563773390/1538902082034889*c_1010_5 - 2779372054060443/3077804164069778, c_0101_4 + 37728466471451/3077804164069778*c_1010_5^11 - 883544343597549/6155608328139556*c_1010_5^10 - 1015386876492253/6155608328139556*c_1010_5^9 + 2049734451042890/1538902082034889*c_1010_5^8 - 8165517781559885/6155608328139556*c_1010_5^7 - 27401153749265305/6155608328139556*c_1010_5^6 + 4685324460712647/279800378551798*c_1010_5^5 - 31890211317657551/1538902082034889*c_1010_5^4 + 48495765712430955/3077804164069778*c_1010_5^3 - 10436374555199503/3077804164069778*c_1010_5^2 - 3596998282111733/6155608328139556*c_1010_5 + 845175296192237/6155608328139556, c_0110_5 - 37897314954069/3077804164069778*c_1010_5^11 + 459404424953543/3077804164069778*c_1010_5^10 + 642832187541977/6155608328139556*c_1010_5^9 - 4259848686461237/3077804164069778*c_1010_5^8 + 2896781852390942/1538902082034889*c_1010_5^7 + 5652279947609887/1538902082034889*c_1010_5^6 - 2543775985121326/139900189275899*c_1010_5^5 + 176110717987742367/6155608328139556*c_1010_5^4 - 43526881163695502/1538902082034889*c_1010_5^3 + 88652412864781739/6155608328139556*c_1010_5^2 - 11971935263407323/6155608328139556*c_1010_5 - 2460131955072989/1538902082034889, c_0110_7 - 3414919198428/1538902082034889*c_1010_5^11 + 118142629734359/6155608328139556*c_1010_5^10 + 654616170745067/6155608328139556*c_1010_5^9 - 727926529523805/6155608328139556*c_1010_5^8 - 635599388599745/1538902082034889*c_1010_5^7 + 4005287904825655/3077804164069778*c_1010_5^6 - 343603115727299/559600757103596*c_1010_5^5 - 26591285570272851/6155608328139556*c_1010_5^4 + 9585712248422070/1538902082034889*c_1010_5^3 - 21807386038552065/3077804164069778*c_1010_5^2 + 2583344001891997/1538902082034889*c_1010_5 + 2567077085911979/6155608328139556, c_1010_5^12 - 12*c_1010_5^11 - 10*c_1010_5^10 + 112*c_1010_5^9 - 141*c_1010_5^8 - 326*c_1010_5^7 + 1468*c_1010_5^6 - 2126*c_1010_5^5 + 1847*c_1010_5^4 - 638*c_1010_5^3 - 81*c_1010_5^2 + 146*c_1010_5 + 25 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.240 seconds, Total memory usage: 32.09MB