Magma V2.19-8 Wed Aug 21 2013 00:57:18 on localhost [Seed = 1064904162] Type ? for help. Type -D to quit. Loading file "L13n4204__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n4204 geometric_solution 12.32611840 oriented_manifold CS_known 0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 1 2 3 0132 1302 0132 0132 1 1 1 0 0 -1 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 0 5 0 -5 0 0 0 0 5 -5 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.416568160921 0.827684201704 0 4 5 0 0132 0132 0132 2031 1 1 0 1 0 0 1 -1 0 0 -1 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 -5 5 0 0 5 -5 1 -1 0 0 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.568949875096 0.807139397675 4 4 6 0 0132 1230 0132 0132 1 1 0 1 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 0 0 0 0 0 0 2 -1 0 -1 -6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.636076002542 0.698587634633 6 7 0 8 1302 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 -6 5 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 -0.301389460915 1.614456650462 2 1 2 7 0132 0132 3012 2310 1 1 1 0 0 0 1 -1 0 0 0 0 -1 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 -6 6 0 0 0 0 6 -5 0 -1 -2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.287403507929 0.782628327203 9 10 11 1 0132 0132 0132 0132 1 1 1 1 0 1 0 -1 -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 -5 0 5 5 0 0 -5 0 0 0 0 -6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.093898705082 0.711412007381 9 3 8 2 2031 2031 0132 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 0.223113242097 0.954309665669 4 3 12 11 3201 0132 0132 1302 1 1 1 1 0 -1 0 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 6 0 -6 1 0 0 -1 -6 0 0 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.387984231216 1.005664162440 12 10 3 6 2031 1023 0132 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 0.223787139469 0.673474235407 5 12 6 11 0132 2031 1302 3201 1 1 1 1 0 0 0 0 1 0 0 -1 -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 -5 0 0 5 6 0 0 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.403780008100 0.682431018637 8 5 12 11 1023 0132 3012 2310 1 1 1 1 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 5 0 -5 -1 0 0 1 0 -6 0 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.034022102448 1.194797817362 10 9 7 5 3201 2310 2031 0132 1 1 1 1 0 -1 1 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 0 0 0 0 0 6 -6 0 -6 0 6 0 5 -5 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.210624962417 1.315666132054 9 10 8 7 1302 1230 1302 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 1.082024633452 0.632765489209 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_12']), 'c_1001_10' : negation(d['c_0011_12']), 'c_1001_12' : negation(d['c_0011_11']), 'c_1001_5' : negation(d['c_0101_5']), 'c_1001_4' : d['c_0011_0'], 'c_1001_7' : d['c_0101_10'], 'c_1001_6' : negation(d['c_0101_11']), 'c_1001_1' : negation(d['c_0011_12']), 'c_1001_0' : d['c_0101_0'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_0011_3'], 'c_1001_9' : d['c_0101_2'], 'c_1001_8' : d['c_0101_10'], 'c_1010_12' : d['c_0101_10'], 'c_1010_11' : negation(d['c_0101_5']), 'c_1010_10' : negation(d['c_0101_5']), 's_3_11' : 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' : 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_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_1001_3']), 'c_1100_4' : negation(d['c_0011_3']), 'c_1100_7' : d['c_0101_11'], 'c_1100_6' : d['c_1100_0'], 'c_1100_1' : negation(d['c_1001_3']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_1100_0'], 's_0_10' : d['1'], 'c_1100_11' : negation(d['c_1001_3']), 'c_1100_10' : d['c_0011_11'], 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_3'], 'c_1010_6' : d['c_0011_3'], 'c_1010_5' : negation(d['c_0011_12']), 'c_1010_4' : negation(d['c_0011_12']), 'c_1010_3' : d['c_0101_10'], 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : d['c_0011_0'], 'c_1010_0' : d['c_1001_3'], 'c_1010_9' : d['c_0011_12'], 'c_1010_8' : negation(d['c_0101_11']), 'c_1100_8' : d['c_1100_0'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : negation(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' : d['c_0101_11'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_10'], 'c_0011_8' : d['c_0011_10'], 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_3']), '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_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_5'], 'c_0110_10' : negation(d['c_0101_11']), 'c_0110_12' : negation(d['c_0101_2']), 'c_0101_12' : negation(d['c_0011_10']), 'c_0110_0' : negation(d['c_0011_6']), 'c_0101_7' : negation(d['c_0101_2']), 'c_0101_6' : negation(d['c_0011_11']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : negation(d['c_0011_6']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_6']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_6']), 'c_0101_8' : d['c_0101_11'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_5'], 'c_0110_8' : negation(d['c_0011_11']), 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0011_11']), 'c_0110_3' : d['c_0101_11'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : negation(d['c_0011_6']), 'c_0110_4' : d['c_0101_2'], 'c_0110_7' : d['c_0011_12'], 'c_0110_6' : d['c_0101_2']})} 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_10, c_0011_11, c_0011_12, c_0011_3, c_0011_6, c_0101_0, c_0101_10, c_0101_11, c_0101_2, c_0101_5, c_1001_3, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t - 2021791929164052639570976017/236907510534503062422896*c_1100_0^10 - 23238704184927429582406239/2603379236642890795856*c_1100_0^9 + 10060360274017524801641774735/118453755267251531211448*c_1100_0^8 + 882997194983622639320372997/4230491259544697543266*c_1100_0^7 - 1981206159806740535774300471/4230491259544697543266*c_1100_0^6 + 33314352500923583616332168691/236907510534503062422896*c_1100_0^5 - 1957584953564774644313571008029/236907510534503062422896*c_1100_0^4 + 6240251559662579840027115775087/236907510534503062422896*c_1100_0\ ^3 - 5262987540741751032567596077797/236907510534503062422896*c_110\ 0_0^2 - 90283839541755057927750832593/236907510534503062422896*c_11\ 00_0 - 43986317590292807649066850867/29613438816812882802862, c_0011_0 - 1, c_0011_10 + 1572414464165041/338276927838213461*c_1100_0^10 + 981609225557312/338276927838213461*c_1100_0^9 - 17724695294786000/338276927838213461*c_1100_0^8 - 34545421555730714/338276927838213461*c_1100_0^7 + 114427798555528548/338276927838213461*c_1100_0^6 - 15291967033417633/338276927838213461*c_1100_0^5 + 1499422083043481496/338276927838213461*c_1100_0^4 - 5530154126603566572/338276927838213461*c_1100_0^3 + 4701561912880063444/338276927838213461*c_1100_0^2 + 1201474764260103988/338276927838213461*c_1100_0 - 338815738754521787/338276927838213461, c_0011_11 + 1601720337469893/676553855676426922*c_1100_0^10 - 412526721092007/676553855676426922*c_1100_0^9 - 10705200829454394/338276927838213461*c_1100_0^8 - 13985295484419958/338276927838213461*c_1100_0^7 + 77842877653734139/338276927838213461*c_1100_0^6 - 22666894412554261/676553855676426922*c_1100_0^5 + 1615325205882978033/676553855676426922*c_1100_0^4 - 6922597346999117033/676553855676426922*c_1100_0^3 + 7505052149659658367/676553855676426922*c_1100_0^2 - 1191277324270453419/676553855676426922*c_1100_0 + 172740955110303977/338276927838213461, c_0011_12 + 385591907997691/676553855676426922*c_1100_0^10 + 1797203840777785/676553855676426922*c_1100_0^9 - 44360063064556/338276927838213461*c_1100_0^8 - 7570606544869727/338276927838213461*c_1100_0^7 - 8813159879316409/338276927838213461*c_1100_0^6 - 9720685076941831/676553855676426922*c_1100_0^5 + 264905649901079233/676553855676426922*c_1100_0^4 - 15632070518095503/676553855676426922*c_1100_0^3 - 1263499128871912323/676553855676426922*c_1100_0^2 + 1953327951151124093/676553855676426922*c_1100_0 - 212122209383419530/338276927838213461, c_0011_3 - 2696547479581753/676553855676426922*c_1100_0^10 - 3006791041635259/676553855676426922*c_1100_0^9 + 13960482567341605/338276927838213461*c_1100_0^8 + 36571775906454684/338276927838213461*c_1100_0^7 - 70346608092799493/338276927838213461*c_1100_0^6 - 1908326004402393/676553855676426922*c_1100_0^5 - 2677329776998300011/676553855676426922*c_1100_0^4 + 7967013057692664907/676553855676426922*c_1100_0^3 - 5503993569808877065/676553855676426922*c_1100_0^2 - 1537437831337206099/676553855676426922*c_1100_0 + 59442889534082753/338276927838213461, c_0011_6 + 1, c_0101_0 - 191785782032981/676553855676426922*c_1100_0^10 - 946959290657901/676553855676426922*c_1100_0^9 - 377714995514211/338276927838213461*c_1100_0^8 + 3923288935172834/338276927838213461*c_1100_0^7 + 11733897868472233/338276927838213461*c_1100_0^6 + 35406218238877665/676553855676426922*c_1100_0^5 - 183256324033471051/676553855676426922*c_1100_0^4 - 153136455606910857/676553855676426922*c_1100_0^3 - 64479736385170179/676553855676426922*c_1100_0^2 + 1326167255553135585/676553855676426922*c_1100_0 + 72335827722833242/338276927838213461, c_0101_10 - 296328440156139/676553855676426922*c_1100_0^10 - 898863679707087/676553855676426922*c_1100_0^9 + 1307005516823048/338276927838213461*c_1100_0^8 + 8300346894239413/338276927838213461*c_1100_0^7 + 4713088695374145/338276927838213461*c_1100_0^6 - 22528448817825261/676553855676426922*c_1100_0^5 - 337990976615053221/676553855676426922*c_1100_0^4 + 118394575115958955/676553855676426922*c_1100_0^3 + 710088182209184307/676553855676426922*c_1100_0^2 - 613168128977573873/676553855676426922*c_1100_0 + 76904334803960829/338276927838213461, c_0101_11 + 1333329892788907/676553855676426922*c_1100_0^10 + 3335644438121279/676553855676426922*c_1100_0^9 - 4456862525938166/338276927838213461*c_1100_0^8 - 22802593003590643/338276927838213461*c_1100_0^7 + 5397972426558913/338276927838213461*c_1100_0^6 - 6335921645136861/676553855676426922*c_1100_0^5 + 1237574018399172719/676553855676426922*c_1100_0^4 - 2218435991082579191/676553855676426922*c_1100_0^3 - 171824046063695839/676553855676426922*c_1100_0^2 + 1742012404108178355/676553855676426922*c_1100_0 - 113640029890344579/338276927838213461, c_0101_2 + 1806635184269629/676553855676426922*c_1100_0^10 + 2450887448604839/676553855676426922*c_1100_0^9 - 9653404833240088/338276927838213461*c_1100_0^8 - 29424023760417264/338276927838213461*c_1100_0^7 + 38528145104056467/338276927838213461*c_1100_0^6 + 51963153452516199/676553855676426922*c_1100_0^5 + 1867082937831409005/676553855676426922*c_1100_0^4 - 4708583431855108857/676553855676426922*c_1100_0^3 + 1872995771004390811/676553855676426922*c_1100_0^2 + 1995516547504353029/676553855676426922*c_1100_0 - 15096290746947223/338276927838213461, c_0101_5 + 7756340944363039/676553855676426922*c_1100_0^10 + 8028388886456585/676553855676426922*c_1100_0^9 - 37350157089630317/338276927838213461*c_1100_0^8 - 91112262428578947/338276927838213461*c_1100_0^7 + 205189225376884139/338276927838213461*c_1100_0^6 - 232251954282637127/676553855676426922*c_1100_0^5 + 7488514419020137125/676553855676426922*c_1100_0^4 - 24024919602350504697/676553855676426922*c_1100_0^3 + 23127432982203008071/676553855676426922*c_1100_0^2 - 3606976443677128399/676553855676426922*c_1100_0 + 523433065601422749/338276927838213461, c_1001_3 + 444956147656062/338276927838213461*c_1100_0^10 + 277951796515210/338276927838213461*c_1100_0^9 - 4307077734101517/338276927838213461*c_1100_0^8 - 7147752146037420/338276927838213461*c_1100_0^7 + 31818462988743026/338276927838213461*c_1100_0^6 - 25027413724056903/338276927838213461*c_1100_0^5 + 405123419583445503/338276927838213461*c_1100_0^4 - 1629214812918778025/338276927838213461*c_1100_0^3 + 1815498899402243127/338276927838213461*c_1100_0^2 - 229039358083573465/338276927838213461*c_1100_0 + 293930329051077931/338276927838213461, c_1100_0^11 + c_1100_0^10 - 10*c_1100_0^9 - 24*c_1100_0^8 + 56*c_1100_0^7 - 19*c_1100_0^6 + 969*c_1100_0^5 - 3131*c_1100_0^4 + 2745*c_1100_0^3 - 75*c_1100_0^2 + 172*c_1100_0 - 8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.960 Total time: 1.169 seconds, Total memory usage: 32.09MB