Magma V2.19-8 Tue Aug 20 2013 23:57:52 on localhost [Seed = 239625900] Type ? for help. Type -D to quit. Loading file "L14n37561__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n37561 geometric_solution 11.32967464 oriented_manifold CS_known -0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 1 1 0 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 1 0 -1 0 0 1 -1 -3 4 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.413529802129 0.856238636926 0 5 7 6 0132 0132 0132 0132 1 1 1 0 0 0 0 0 0 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 1 -1 0 0 -4 4 0 0 0 0 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.746809226872 0.789952560306 8 0 7 6 0132 0132 3012 0321 1 1 1 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 -1 0 1 0 0 0 0 -1 0 0 1 1 -4 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.045550895440 0.887901136154 4 8 9 0 1023 1302 0132 0132 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 -3 0 4 -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 0.427108664828 0.574386732648 10 3 0 6 0132 1023 0132 1230 1 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 0 0 0 0 0 0 0 0 0 0 3 1 -4 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 0.987244529306 0.909496449459 8 1 7 9 1023 0132 3120 0321 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 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.031487575100 0.675995984241 4 2 1 11 3012 0321 0132 0132 1 1 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 1 0 4 0 -4 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 0.724341569282 0.873717817197 10 2 5 1 3120 1230 3120 0132 1 1 0 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 1 -1 0 0 -4 4 0 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.715026206425 0.456280998828 2 5 11 3 0132 1023 3012 2031 1 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 0 0 0 0 0 0 0 4 -4 0 0 0 0 0 -1 0 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.564671165945 1.505516402511 10 5 11 3 1023 0321 1302 0132 1 1 0 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 0 0 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.327936546258 0.705905667587 4 9 11 7 0132 1023 1230 3120 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.375647635099 1.086819397645 9 8 6 10 2031 1230 0132 3012 1 1 1 1 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 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.875826564365 0.560457853766 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_0'], 'c_1001_10' : negation(d['c_0011_11']), 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : negation(d['c_0011_7']), 'c_1001_7' : negation(d['c_1001_5']), 'c_1001_6' : d['c_1001_5'], 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0101_2'], 'c_1001_2' : negation(d['c_0011_7']), 'c_1001_9' : negation(d['c_0101_7']), 'c_1001_8' : negation(d['c_0011_11']), 'c_1010_11' : negation(d['c_0011_6']), 'c_1010_10' : negation(d['c_0011_7']), 's_0_10' : negation(d['1']), 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0011_6'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : negation(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_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : negation(d['1']), 's_0_9' : negation(d['1']), 's_0_6' : d['1'], 's_0_7' : d['1'], 's_0_4' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : d['c_0011_11'], 'c_1100_8' : negation(d['c_1001_0']), 'c_1100_5' : negation(d['c_0101_7']), 'c_1100_4' : d['c_0101_11'], 'c_1100_7' : d['c_0011_11'], 'c_1100_6' : d['c_0011_11'], 'c_1100_1' : d['c_0011_11'], 'c_1100_0' : d['c_0101_11'], 'c_1100_3' : d['c_0101_11'], 'c_1100_2' : d['c_1001_5'], 's_3_11' : d['1'], 'c_1100_11' : d['c_0011_11'], 'c_1100_10' : negation(d['c_0101_7']), 's_0_11' : d['1'], 'c_1010_7' : d['c_0101_2'], 'c_1010_6' : d['c_1001_0'], 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : d['c_0101_0'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_5'], 'c_1010_0' : negation(d['c_0011_7']), 'c_1010_9' : d['c_0101_2'], 'c_1010_8' : negation(d['c_0011_10']), 's_3_1' : d['1'], 's_3_0' : negation(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' : negation(d['1']), 's_3_8' : negation(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' : negation(d['1']), 's_1_2' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(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_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_7'], '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' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0101_7']), 'c_0110_10' : d['c_0101_1'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0011_11']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_7']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_11']), 'c_0101_8' : negation(d['c_0011_6']), 'c_0011_10' : d['c_0011_10'], 's_1_11' : d['1'], 's_1_10' : negation(d['1']), 'c_0110_9' : negation(d['c_0011_7']), 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_0101_11'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_6']), 'c_0110_5' : negation(d['c_0011_10']), 'c_0110_4' : d['c_0011_6'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0101_11']})} 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_6, c_0011_7, c_0101_0, c_0101_1, c_0101_11, c_0101_2, c_0101_7, c_1001_0, c_1001_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t - 12455508889425300513229/4304042843546707261*c_1001_5^8 + 1521679369078668023305/1012715963187460532*c_1001_5^7 - 1551482091851516906739/144673709026780076*c_1001_5^6 - 25442038340812669708463/4304042843546707261*c_1001_5^5 - 20661312872838699264965/2459453053455261292*c_1001_5^4 - 62453285295389321806324/4304042843546707261*c_1001_5^3 - 86950698275363798676777/8608085687093414522*c_1001_5^2 + 20327863862350422935243/17216171374186829044*c_1001_5 + 1733036143213930969214/4304042843546707261, c_0011_0 - 1, c_0011_10 + 111697196971091/7254724151378*c_1001_5^8 + 22642933061257/21764172454134*c_1001_5^7 + 1216356003656689/21764172454134*c_1001_5^6 + 692251434385904/10882086227067*c_1001_5^5 + 1668062610349813/21764172454134*c_1001_5^4 + 818989182552289/7254724151378*c_1001_5^3 + 1216352004541963/10882086227067*c_1001_5^2 + 342073371565527/7254724151378*c_1001_5 + 221371987561295/21764172454134, c_0011_11 + 5099693410025/3627362075689*c_1001_5^8 + 11808717478951/10882086227067*c_1001_5^7 + 53773339442620/10882086227067*c_1001_5^6 + 96476068916827/10882086227067*c_1001_5^5 + 106925806530151/10882086227067*c_1001_5^4 + 46561392867989/3627362075689*c_1001_5^3 + 159495109182359/10882086227067*c_1001_5^2 + 29472336266860/3627362075689*c_1001_5 + 15813192598985/10882086227067, c_0011_6 - 4906200933083/3627362075689*c_1001_5^8 - 20487030912155/10882086227067*c_1001_5^7 - 43771099695863/10882086227067*c_1001_5^6 - 127634389028279/10882086227067*c_1001_5^5 - 109121974088465/10882086227067*c_1001_5^4 - 53222328351157/3627362075689*c_1001_5^3 - 192130674652663/10882086227067*c_1001_5^2 - 34538879851196/3627362075689*c_1001_5 - 9988507005028/10882086227067, c_0011_7 - 739299199179095/10882086227067*c_1001_5^8 - 83339675655503/7254724151378*c_1001_5^7 - 1784090831386429/7254724151378*c_1001_5^6 - 1106316821835453/3627362075689*c_1001_5^5 - 3932786551738291/10882086227067*c_1001_5^4 - 11384640416549915/21764172454134*c_1001_5^3 - 11634070365330739/21764172454134*c_1001_5^2 - 5209992226907573/21764172454134*c_1001_5 - 1101806105527927/21764172454134, c_0101_0 - 1, c_0101_1 - 263166910087665/3627362075689*c_1001_5^8 - 45363872824030/3627362075689*c_1001_5^7 - 1912373459657015/7254724151378*c_1001_5^6 - 1181704703384982/3627362075689*c_1001_5^5 - 1411859502386114/3627362075689*c_1001_5^4 - 2032005535960226/3627362075689*c_1001_5^3 - 4153479875360791/7254724151378*c_1001_5^2 - 936465710960345/3627362075689*c_1001_5 - 403059829790085/7254724151378, c_0101_11 + 199426327858982/10882086227067*c_1001_5^8 + 10804585507825/3627362075689*c_1001_5^7 + 241688829342831/3627362075689*c_1001_5^6 + 297534024844916/3627362075689*c_1001_5^5 + 1065094703561926/10882086227067*c_1001_5^4 + 1541303726323204/10882086227067*c_1001_5^3 + 1566993525969932/10882086227067*c_1001_5^2 + 707861060404705/10882086227067*c_1001_5 + 148651991000360/10882086227067, c_0101_2 + 45818454726820/3627362075689*c_1001_5^8 + 56493047254727/21764172454134*c_1001_5^7 + 500433949589359/10882086227067*c_1001_5^6 + 634794500825380/10882086227067*c_1001_5^5 + 762247219122748/10882086227067*c_1001_5^4 + 720918360939867/7254724151378*c_1001_5^3 + 1127895863167244/10882086227067*c_1001_5^2 + 349464923535425/7254724151378*c_1001_5 + 111733842070190/10882086227067, c_0101_7 - 12614465209754/3627362075689*c_1001_5^8 - 5455085886509/10882086227067*c_1001_5^7 - 141850486232663/10882086227067*c_1001_5^6 - 168575526989594/10882086227067*c_1001_5^5 - 213890918173232/10882086227067*c_1001_5^4 - 101119228243442/3627362075689*c_1001_5^3 - 314152718442454/10882086227067*c_1001_5^2 - 48549895731870/3627362075689*c_1001_5 - 32134949723809/10882086227067, c_1001_0 - 29730226352324/10882086227067*c_1001_5^8 - 18359247986756/10882086227067*c_1001_5^7 - 105216001068254/10882086227067*c_1001_5^6 - 181846337576276/10882086227067*c_1001_5^5 - 65706784849036/3627362075689*c_1001_5^4 - 284557459166833/10882086227067*c_1001_5^3 - 101941339739551/3627362075689*c_1001_5^2 - 167432289244114/10882086227067*c_1001_5 - 10871890295698/3627362075689, c_1001_5^9 + 35/107*c_1001_5^8 + 391/107*c_1001_5^7 + 541/107*c_1001_5^6 + 647/107*c_1001_5^5 + 915/107*c_1001_5^4 + 972/107*c_1001_5^3 + 512/107*c_1001_5^2 + 141/107*c_1001_5 + 13/107 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.140 Total time: 0.350 seconds, Total memory usage: 32.09MB