Magma V2.19-8 Wed Aug 21 2013 00:58:22 on localhost [Seed = 2732898363] Type ? for help. Type -D to quit. Loading file "L13n5249__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n5249 geometric_solution 12.57952659 oriented_manifold CS_known 0.0000000000000000 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 3 0132 0132 0132 3120 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 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 0 0 0 0 0 0 0 0.429167952712 0.594679221138 0 4 5 5 0132 0132 2103 0132 1 0 1 1 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 -1 0 3 -2 0 1 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.400629231782 0.839518892871 6 0 5 7 0132 0132 0213 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 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 0.667631596748 0.828130754879 0 8 9 0 3120 0132 0132 0132 1 0 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 0 0 0 0 -1 1 0 0 0 0 -1 3 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.840085742488 0.875181303161 10 1 8 6 0132 0132 2103 1023 1 1 1 1 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 0 0 0 0 -3 1 0 2 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.003416131441 0.830284543162 1 2 1 11 2103 0213 0132 0132 1 0 1 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 1 0 -1 -3 0 2 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 0.537003122385 0.970210347283 2 12 10 4 0132 0132 3120 1023 1 1 1 1 0 -1 1 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 -3 3 0 0 0 0 0 0 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.778233419622 0.517649990701 9 8 2 12 1023 0213 0132 2103 1 1 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 0 0 0 0 0 0 0 0 0 0 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.528354940986 0.543548954684 4 3 7 12 2103 0132 0213 1302 1 1 1 1 0 0 0 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 0 0 0 0 0 2 -2 0 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.908052800645 1.001579951914 11 7 11 3 3120 1023 2103 0132 1 0 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 0 0 0 0 0 -1 1 0 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.825725424484 0.710559668796 4 12 6 11 0132 1023 3120 3201 1 1 1 1 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 -1 0 0 1 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.579266590144 0.900941549408 9 10 5 9 2103 2310 0132 3120 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 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 0 0 0 0 0.304193785905 0.598760578726 10 6 8 7 1023 0132 2031 2103 1 1 1 1 0 1 -1 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 3 -3 0 0 0 0 0 0 0 0 0 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.533134333177 0.912584826007 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0110_12']), 'c_1001_10' : d['c_0101_12'], 'c_1001_12' : d['c_0101_10'], 'c_1001_5' : negation(d['c_0011_3']), 'c_1001_4' : negation(d['c_0011_3']), 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : negation(d['c_0101_12']), 'c_1001_1' : d['c_0011_5'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0110_7'], 'c_1001_2' : negation(d['c_0011_3']), 'c_1001_9' : d['c_0011_11'], 'c_1001_8' : d['c_1001_0'], 'c_1010_12' : negation(d['c_0101_12']), 'c_1010_11' : negation(d['c_0011_7']), 'c_1010_10' : d['c_0110_12'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : negation(d['1']), 's_2_1' : 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_2_7' : d['1'], 's_2_12' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : negation(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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_11' : d['c_0011_11'], 'c_1100_8' : d['c_0101_12'], 'c_0011_12' : negation(d['c_0011_0']), 'c_1100_5' : negation(d['c_0101_11']), 'c_1100_4' : d['c_0101_10'], 'c_1100_7' : negation(d['c_0110_12']), 'c_1100_6' : negation(d['c_0101_10']), 'c_1100_1' : negation(d['c_0101_11']), 'c_1100_0' : negation(d['c_0101_3']), 'c_1100_3' : negation(d['c_0101_3']), 'c_1100_2' : negation(d['c_0110_12']), 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0101_11']), 'c_1100_10' : negation(d['c_0011_11']), 's_0_11' : d['1'], 'c_1010_7' : d['c_0101_12'], 'c_1010_6' : d['c_0101_10'], 'c_1010_5' : negation(d['c_0110_12']), 'c_1010_4' : d['c_0011_5'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0011_3']), 'c_1010_0' : negation(d['c_0011_3']), 'c_1010_9' : d['c_0110_7'], 'c_1010_8' : d['c_0110_7'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(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'], 'c_1100_12' : negation(d['c_0110_7']), 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(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_1_9' : d['1'], 's_1_8' : negation(d['1']), 'c_0011_9' : d['c_0011_7'], '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_7'], 'c_0011_6' : d['c_0011_0'], '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_0']), 'c_0110_11' : d['c_0101_3'], 'c_0110_10' : d['c_0011_7'], 'c_0110_12' : d['c_0110_12'], 'c_0101_12' : d['c_0101_12'], 'c_0110_0' : d['c_0101_0'], 'c_0101_7' : d['c_0011_11'], 'c_0101_6' : d['c_0011_11'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0011_7'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_5'], 'c_0101_1' : d['c_0101_0'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_11'], 'c_0101_8' : d['c_0011_7'], 'c_0011_10' : negation(d['c_0011_0']), 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_3'], 'c_0110_8' : negation(d['c_0101_10']), 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0101_3']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_11'], 'c_0110_5' : d['c_0101_11'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0110_7'], 'c_0110_6' : d['c_0011_5']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_11, c_0011_3, c_0011_5, c_0011_7, c_0101_0, c_0101_10, c_0101_11, c_0101_12, c_0101_3, c_0110_12, c_0110_7, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 10490604163778191359905021704/13125114198695652861479868609765*c_10\ 01_0^11 - 148181600414686016455310835463/13125114198695652861479868\ 609765*c_1001_0^10 + 87509628613233041716110386724/4375038066231884\ 287159956203255*c_1001_0^9 + 424300184724359980125244837996/1312511\ 4198695652861479868609765*c_1001_0^8 - 409440403016344433741777201176/2625022839739130572295973721953*c_10\ 01_0^7 + 209534761731862938435952219384/625005438033126326737136600\ 465*c_1001_0^6 - 9032216812427230794529814013979/131251141986956528\ 61479868609765*c_1001_0^5 + 17377440766873441095754914317149/131251\ 14198695652861479868609765*c_1001_0^4 - 7525305487321263828470537983376/4375038066231884287159956203255*c_1\ 001_0^3 + 347874869642620197200429576482/26785947344276842574448711\ 4485*c_1001_0^2 - 9964858100732349722900055079336/13125114198695652\ 861479868609765*c_1001_0 + 10337573386507752270999157110877/1312511\ 4198695652861479868609765, c_0011_0 - 1, c_0011_11 + 227975422633909552/260683258277524467601*c_1001_0^11 - 3008041022426162022/260683258277524467601*c_1001_0^10 + 4037854712644552738/260683258277524467601*c_1001_0^9 - 6032608753008944793/260683258277524467601*c_1001_0^8 + 28657558131155726014/260683258277524467601*c_1001_0^7 - 40230516108218201372/260683258277524467601*c_1001_0^6 + 15863594881775745350/260683258277524467601*c_1001_0^5 - 25244926183274154336/260683258277524467601*c_1001_0^4 + 102009440626568713473/260683258277524467601*c_1001_0^3 + 13386075456987808377/260683258277524467601*c_1001_0^2 - 283985542622761412740/260683258277524467601*c_1001_0 - 17594234687180945821/260683258277524467601, c_0011_3 - 154560249197555546/260683258277524467601*c_1001_0^11 + 2791825067850710918/260683258277524467601*c_1001_0^10 - 13475342587310862537/260683258277524467601*c_1001_0^9 + 27341376468545504956/260683258277524467601*c_1001_0^8 - 38591660803709812142/260683258277524467601*c_1001_0^7 + 57635572293965072635/260683258277524467601*c_1001_0^6 - 82587903670731339258/260683258277524467601*c_1001_0^5 + 59507023740941844541/260683258277524467601*c_1001_0^4 + 31873314709031245582/260683258277524467601*c_1001_0^3 - 126458660712142558331/260683258277524467601*c_1001_0^2 - 264683820429637176612/260683258277524467601*c_1001_0 + 174090259227198082457/260683258277524467601, c_0011_5 + 64651819222934530/260683258277524467601*c_1001_0^11 - 1519841190482624293/260683258277524467601*c_1001_0^10 + 11128386034953942498/260683258277524467601*c_1001_0^9 - 28492792558753483663/260683258277524467601*c_1001_0^8 + 32601992363494837558/260683258277524467601*c_1001_0^7 - 37031508237315613783/260683258277524467601*c_1001_0^6 + 76197652873041876799/260683258277524467601*c_1001_0^5 - 95046185404156067851/260683258277524467601*c_1001_0^4 - 66527669952599140102/260683258277524467601*c_1001_0^3 + 154357524220383846069/260683258277524467601*c_1001_0^2 + 350722100750514711756/260683258277524467601*c_1001_0 - 202956605822291295946/260683258277524467601, c_0011_7 + 36208836525740497/260683258277524467601*c_1001_0^11 - 711554209497179785/260683258277524467601*c_1001_0^10 + 4603682698428011597/260683258277524467601*c_1001_0^9 - 17889634369058437688/260683258277524467601*c_1001_0^8 + 39954959333483380452/260683258277524467601*c_1001_0^7 - 43901718983216052414/260683258277524467601*c_1001_0^6 + 58259650374352987509/260683258277524467601*c_1001_0^5 - 81987019464342876133/260683258277524467601*c_1001_0^4 + 42323296490903765942/260683258277524467601*c_1001_0^3 + 88952059056043059991/260683258277524467601*c_1001_0^2 - 192965041623774387986/260683258277524467601*c_1001_0 + 124570743468467107/260683258277524467601, c_0101_0 - 1, c_0101_10 + 568307899738796083/260683258277524467601*c_1001_0^11 - 8923261580531289228/260683258277524467601*c_1001_0^10 + 28540401985385296240/260683258277524467601*c_1001_0^9 - 30425313983619309886/260683258277524467601*c_1001_0^8 + 20574645690401947511/260683258277524467601*c_1001_0^7 - 54147460586582327786/260683258277524467601*c_1001_0^6 + 29668346413831120243/260683258277524467601*c_1001_0^5 + 175230231979780705990/260683258277524467601*c_1001_0^4 - 327583379526837957010/260683258277524467601*c_1001_0^3 - 14459580423311034768/260683258277524467601*c_1001_0^2 + 357200405738415349150/260683258277524467601*c_1001_0 + 109020329777646843870/260683258277524467601, c_0101_11 - 89908429974621016/260683258277524467601*c_1001_0^11 + 1271983877368086625/260683258277524467601*c_1001_0^10 - 2346956552356920039/260683258277524467601*c_1001_0^9 - 1151416090207978707/260683258277524467601*c_1001_0^8 - 5989668440214974584/260683258277524467601*c_1001_0^7 + 20604064056649458852/260683258277524467601*c_1001_0^6 - 6390250797689462459/260683258277524467601*c_1001_0^5 - 35539161663214223310/260683258277524467601*c_1001_0^4 - 34654355243567894520/260683258277524467601*c_1001_0^3 + 27898863508241287738/260683258277524467601*c_1001_0^2 + 86038280320877535144/260683258277524467601*c_1001_0 - 28866346595093213489/260683258277524467601, c_0101_12 + 126663753556071648/260683258277524467601*c_1001_0^11 - 1791247673347976881/260683258277524467601*c_1001_0^10 + 3103248254186825448/260683258277524467601*c_1001_0^9 + 5074476154670323940/260683258277524467601*c_1001_0^8 - 6445782467730893841/260683258277524467601*c_1001_0^7 - 12795579030444422998/260683258277524467601*c_1001_0^6 - 6760765953244727753/260683258277524467601*c_1001_0^5 + 34025852814730433596/260683258277524467601*c_1001_0^4 - 8998255207143331492/260683258277524467601*c_1001_0^3 - 110778319365626624906/260683258277524467601*c_1001_0^2 + 5700511556808386638/260683258277524467601*c_1001_0 + 297641851098965110672/260683258277524467601, c_0101_3 + 154560249197555546/260683258277524467601*c_1001_0^11 - 2791825067850710918/260683258277524467601*c_1001_0^10 + 13475342587310862537/260683258277524467601*c_1001_0^9 - 27341376468545504956/260683258277524467601*c_1001_0^8 + 38591660803709812142/260683258277524467601*c_1001_0^7 - 57635572293965072635/260683258277524467601*c_1001_0^6 + 82587903670731339258/260683258277524467601*c_1001_0^5 - 59507023740941844541/260683258277524467601*c_1001_0^4 - 31873314709031245582/260683258277524467601*c_1001_0^3 + 126458660712142558331/260683258277524467601*c_1001_0^2 + 4000562152112709011/260683258277524467601*c_1001_0 - 174090259227198082457/260683258277524467601, c_0110_12 + 351097880180902845/260683258277524467601*c_1001_0^11 - 4718377454425353370/260683258277524467601*c_1001_0^10 + 7047366704737589231/260683258277524467601*c_1001_0^9 - 4815378181445831329/260683258277524467601*c_1001_0^8 + 15141763940049570058/260683258277524467601*c_1001_0^7 - 36658703183356499090/260683258277524467601*c_1001_0^6 - 11018277531941569778/260683258277524467601*c_1001_0^5 + 68962783458962937009/260683258277524467601*c_1001_0^4 + 53194500991959269779/260683258277524467601*c_1001_0^3 - 54199852631051218680/260683258277524467601*c_1001_0^2 - 74843203424133608136/260683258277524467601*c_1001_0 - 141155818202459989588/260683258277524467601, c_0110_7 + 61392469391337375/260683258277524467601*c_1001_0^11 - 847884237373887267/260683258277524467601*c_1001_0^10 + 841557776654389355/260683258277524467601*c_1001_0^9 + 8335974635307699993/260683258277524467601*c_1001_0^8 - 14005145110376258429/260683258277524467601*c_1001_0^7 - 2373412042054708596/260683258277524467601*c_1001_0^6 + 11727093384487411867/260683258277524467601*c_1001_0^5 + 33066616347654776505/260683258277524467601*c_1001_0^4 - 10932773415482386374/260683258277524467601*c_1001_0^3 - 172820904616597426892/260683258277524467601*c_1001_0^2 + 81464152697684220229/260683258277524467601*c_1001_0 + 367055155684973975671/260683258277524467601, c_1001_0^12 - 15*c_1001_0^11 + 41*c_1001_0^10 - 45*c_1001_0^9 + 69*c_1001_0^8 - 144*c_1001_0^7 + 116*c_1001_0^6 + 106*c_1001_0^5 - 158*c_1001_0^4 - 246*c_1001_0^3 + 218*c_1001_0^2 + 305*c_1001_0 + 563 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.370 Total time: 0.580 seconds, Total memory usage: 32.09MB