Magma V2.19-8 Tue Aug 20 2013 23:56:09 on localhost [Seed = 3035815065] Type ? for help. Type -D to quit. Loading file "L14n15027__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n15027 geometric_solution 11.39034869 oriented_manifold CS_known 0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 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 1 0 -1 0 0 0 0 11 0 0 -11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.528942970475 0.893423583918 0 5 7 6 0132 0132 0132 0132 0 1 1 1 0 0 -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 -1 1 0 0 0 0 -11 12 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.528942970475 0.893423583918 6 0 9 8 3012 0132 0132 0132 1 0 1 1 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 -1 0 1 -1 0 0 1 0 0 0 0 -11 0 11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.378563278342 0.696691947788 10 5 9 0 0132 1230 0321 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 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 0.740760118027 0.852065010544 8 6 0 5 3012 2103 0132 2103 1 1 0 1 0 -1 0 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 11 1 -12 0 0 0 0 -1 1 0 0 0 -11 11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.544311674927 1.022518612191 11 1 3 4 0132 0132 3012 2103 0 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 0 0 0 0 0 0 0 0 -12 0 12 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.378563278342 0.696691947788 11 4 1 2 1230 2103 0132 1230 0 1 1 1 0 0 -1 1 0 0 0 0 0 1 0 -1 1 -1 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 -11 0 11 -11 11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.544311674927 1.022518612191 8 9 10 1 1023 1023 2031 0132 0 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 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 0.288862902224 0.382443303667 10 7 2 4 1230 1023 0132 1230 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 0 0 -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 0.615076664623 1.397447610513 7 11 3 2 1023 3201 0321 0132 1 0 1 1 0 0 0 0 1 0 0 -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 11 0 -11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.666261766224 1.193134199123 3 8 11 7 0132 3012 1230 1302 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.645919985017 0.306368286847 5 6 9 10 0132 3012 2310 3012 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 11 -11 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 0.615076664623 1.397447610513 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_6']), 'c_1001_10' : negation(d['c_0011_7']), 'c_1001_5' : d['c_0011_10'], 'c_1001_4' : d['c_0011_6'], 'c_1001_7' : negation(d['c_0101_3']), 'c_1001_6' : d['c_0011_10'], 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : d['c_0101_5'], 'c_1001_3' : d['c_0110_4'], 'c_1001_2' : d['c_0011_6'], 'c_1001_9' : negation(d['c_0101_11']), 'c_1001_8' : d['c_0101_5'], 'c_1010_11' : negation(d['c_0101_0']), 'c_1010_10' : negation(d['c_0101_8']), 's_0_10' : d['1'], 's_0_11' : negation(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_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' : negation(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' : negation(d['1']), 's_0_7' : d['1'], 's_0_4' : d['1'], 's_0_5' : negation(d['1']), 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : negation(d['c_0011_0']), 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_0110_4']), 'c_1100_4' : negation(d['c_0101_11']), 'c_1100_7' : d['c_0101_8'], 'c_1100_6' : d['c_0101_8'], 'c_1100_1' : d['c_0101_8'], 'c_1100_0' : negation(d['c_0101_11']), 'c_1100_3' : negation(d['c_0101_11']), 'c_1100_2' : d['c_0110_4'], 's_3_11' : d['1'], 'c_1100_11' : d['c_0011_7'], 'c_1100_10' : d['c_0101_5'], 's_3_10' : d['1'], 'c_1010_7' : d['c_0101_2'], 'c_1010_6' : d['c_0101_2'], 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : negation(d['c_0101_2']), 'c_1010_3' : d['c_0101_5'], 'c_1010_2' : d['c_0101_5'], 'c_1010_1' : d['c_0011_10'], 'c_1010_0' : d['c_0011_6'], 'c_1010_9' : d['c_0011_6'], 'c_1010_8' : d['c_0101_1'], 'c_1100_8' : d['c_0110_4'], 's_3_1' : negation(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' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : 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' : d['1'], 'c_0011_9' : d['c_0011_7'], 'c_0011_8' : d['c_0011_7'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : 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' : d['c_0101_5'], 'c_0110_10' : d['c_0101_3'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_5'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], '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_0101_3']), 'c_0101_8' : d['c_0101_8'], 's_1_11' : negation(d['1']), 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_2'], 'c_0110_8' : d['c_0011_10'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_0110_4'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_8'], 'c_0110_5' : d['c_0101_11'], 'c_0110_4' : d['c_0110_4'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : negation(d['c_0011_0'])})} 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_6, c_0011_7, c_0101_0, c_0101_1, c_0101_11, c_0101_2, c_0101_3, c_0101_5, c_0101_8, c_0110_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t + 555083069721600353/37872856992651660*c_0110_4^12 - 142401555511833967/1262428566421722*c_0110_4^11 + 513218550357382739/7574571398530332*c_0110_4^10 + 406123754012035277/479403253071540*c_0110_4^9 - 15687565320585330031/37872856992651660*c_0110_4^8 - 15726305338502846107/12624285664217220*c_0110_4^7 + 626765592849959239/1352602035451845*c_0110_4^6 - 27138065737818998029/37872856992651660*c_0110_4^5 + 255661403494724959/270520407090369*c_0110_4^4 + 49614062174230021571/37872856992651660*c_0110_4^3 - 44180342414711702321/37872856992651660*c_0110_4^2 + 5628420300565471781/37872856992651660*c_0110_4 - 803443642854699929/6312142832108610, c_0011_0 - 1, c_0011_10 - 283381671/305728222*c_0110_4^12 + 962946228/152864111*c_0110_4^11 + 395334437/305728222*c_0110_4^10 - 15838100621/305728222*c_0110_4^9 - 6172413363/305728222*c_0110_4^8 + 16996691265/305728222*c_0110_4^7 + 2679490466/152864111*c_0110_4^6 + 20147599577/305728222*c_0110_4^5 + 364387399/152864111*c_0110_4^4 - 22925926449/305728222*c_0110_4^3 + 2275913643/305728222*c_0110_4^2 - 2814514111/305728222*c_0110_4 - 12383156/152864111, c_0011_6 - 10495439/152864111*c_0110_4^12 + 19961895/305728222*c_0110_4^11 + 371793625/152864111*c_0110_4^10 - 309432195/305728222*c_0110_4^9 - 6470219633/305728222*c_0110_4^8 - 7127201031/305728222*c_0110_4^7 - 618838493/305728222*c_0110_4^6 + 880637751/152864111*c_0110_4^5 + 9009447947/305728222*c_0110_4^4 + 3824616680/152864111*c_0110_4^3 - 576862681/305728222*c_0110_4^2 + 1394188831/305728222*c_0110_4 - 105699317/305728222, c_0011_7 - 38212582/152864111*c_0110_4^12 + 173736929/152864111*c_0110_4^11 + 519382537/152864111*c_0110_4^10 - 1327288869/152864111*c_0110_4^9 - 4812959404/152864111*c_0110_4^8 - 5335567954/152864111*c_0110_4^7 - 2265651357/152864111*c_0110_4^6 + 3204854440/152864111*c_0110_4^5 + 7230881729/152864111*c_0110_4^4 + 6479516344/152864111*c_0110_4^3 + 2728544571/152864111*c_0110_4^2 + 511158820/152864111*c_0110_4 + 262549750/152864111, c_0101_0 - 523211783/305728222*c_0110_4^12 + 1690439678/152864111*c_0110_4^11 + 1682213711/305728222*c_0110_4^10 - 27630399069/305728222*c_0110_4^9 - 19448617649/305728222*c_0110_4^8 + 16025403667/305728222*c_0110_4^7 + 1835193303/152864111*c_0110_4^6 + 37995267647/305728222*c_0110_4^5 + 7674176429/152864111*c_0110_4^4 - 23391972671/305728222*c_0110_4^3 + 9411099627/305728222*c_0110_4^2 - 3169174623/305728222*c_0110_4 + 293821807/152864111, c_0101_1 + 366804363/305728222*c_0110_4^12 - 1099287075/152864111*c_0110_4^11 - 2152936247/305728222*c_0110_4^10 + 18031618423/305728222*c_0110_4^9 + 21725830631/305728222*c_0110_4^8 + 1842016627/305728222*c_0110_4^7 + 761312776/152864111*c_0110_4^6 - 27088015675/305728222*c_0110_4^5 - 11995031708/152864111*c_0110_4^4 + 1378762951/305728222*c_0110_4^3 - 8970183253/305728222*c_0110_4^2 + 1113798029/305728222*c_0110_4 - 316700402/152864111, c_0101_11 + 110189021/305728222*c_0110_4^12 - 686121909/305728222*c_0110_4^11 - 516360439/305728222*c_0110_4^10 + 2843554854/152864111*c_0110_4^9 + 2775204809/152864111*c_0110_4^8 - 1076508177/152864111*c_0110_4^7 - 2088406415/305728222*c_0110_4^6 - 8620567905/305728222*c_0110_4^5 - 4772253973/305728222*c_0110_4^4 + 4556829841/305728222*c_0110_4^3 + 327724857/152864111*c_0110_4^2 + 428165393/152864111*c_0110_4 + 128911813/305728222, c_0101_2 - 1, c_0101_3 + 174115974/152864111*c_0110_4^12 - 2430357701/305728222*c_0110_4^11 - 26606264/152864111*c_0110_4^10 + 19559746285/305728222*c_0110_4^9 + 3992606899/305728222*c_0110_4^8 - 22296004501/305728222*c_0110_4^7 - 2607712629/305728222*c_0110_4^6 - 11698833459/152864111*c_0110_4^5 + 3717343641/305728222*c_0110_4^4 + 14280644786/152864111*c_0110_4^3 - 8135895117/305728222*c_0110_4^2 + 3397005685/305728222*c_0110_4 - 566686405/305728222, c_0101_5 + 119915056/152864111*c_0110_4^12 - 727493450/152864111*c_0110_4^11 - 643439637/152864111*c_0110_4^10 + 5896149224/152864111*c_0110_4^9 + 6638102143/152864111*c_0110_4^8 + 485643799/152864111*c_0110_4^7 + 844297163/152864111*c_0110_4^6 - 8923834035/152864111*c_0110_4^5 - 7309789030/152864111*c_0110_4^4 + 233023111/152864111*c_0110_4^3 - 3567592992/152864111*c_0110_4^2 + 330194367/152864111*c_0110_4 - 306204963/152864111, c_0101_8 - 120804329/152864111*c_0110_4^12 + 1698665645/305728222*c_0110_4^11 + 6376466/152864111*c_0110_4^10 - 13937111033/305728222*c_0110_4^9 - 2511678987/305728222*c_0110_4^8 + 18633558457/305728222*c_0110_4^7 + 5439214467/305728222*c_0110_4^6 + 8445792588/152864111*c_0110_4^5 - 4163040677/305728222*c_0110_4^4 - 12215841885/152864111*c_0110_4^3 + 1898555029/305728222*c_0110_4^2 - 3016122893/305728222*c_0110_4 + 64431831/305728222, c_0110_4^13 - 7*c_0110_4^12 + 56*c_0110_4^10 + 11*c_0110_4^9 - 63*c_0110_4^8 - 12*c_0110_4^7 - 76*c_0110_4^6 + 11*c_0110_4^5 + 82*c_0110_4^4 - 16*c_0110_4^3 + 21*c_0110_4^2 - 2*c_0110_4 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.100 Total time: 0.310 seconds, Total memory usage: 32.09MB