Magma V2.19-8 Tue Aug 20 2013 17:58:11 on localhost [Seed = 1107555858] Type ? for help. Type -D to quit. Loading file "10^2_159__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation 10^2_159 geometric_solution 11.72202299 oriented_manifold CS_known 0.0000000000000003 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 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 1 -1 1 0 -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 0.920935565915 1.580494478558 0 5 7 6 0132 0132 0132 0132 0 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 0.433768770113 0.759917235005 6 0 7 4 3012 0132 3012 0213 0 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 -1 0 0 1 0 0 0 0 1 1 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.057286232625 0.911066281424 8 9 9 0 0132 0132 0321 0132 0 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 0 -1 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 0.180975216888 0.778308550041 10 11 0 2 0132 0132 0132 0213 0 1 0 1 0 0 0 0 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 -1 1 0 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 0.604768749439 0.566213979605 6 1 8 12 0321 0132 0321 0132 0 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 0.749887964853 0.697474273728 5 8 1 2 0321 0321 0132 1230 0 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 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 0.644312591812 0.326233060562 11 2 10 1 3120 1230 3120 0132 0 1 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 0 0 0 0 0 0 0 0 1 0 0 -1 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.118854130989 0.824971709547 3 12 5 6 0132 0132 0321 0321 0 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 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 -1.240594102798 1.517326248693 12 3 3 12 0132 0132 0321 0213 0 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 0 1 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 0.180975216888 0.778308550041 4 11 7 11 0132 0213 3120 3120 0 1 1 0 0 0 0 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 1 0 -1 0 0 0 0 -1 -1 0 2 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.681761688682 0.544257555929 10 4 10 7 3120 0132 0213 3120 0 1 1 0 0 0 0 0 0 0 0 0 1 0 0 -1 0 -1 1 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 -2 0 0 2 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.681761688682 0.544257555929 9 8 5 9 0132 0132 0132 0213 0 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 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 0.180975216888 0.778308550041 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : negation(d['c_0011_0']), 'c_1001_11' : d['c_1001_10'], 'c_1001_10' : d['c_1001_10'], 'c_1001_12' : d['c_0101_2'], 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : negation(d['c_0011_7']), 'c_1001_7' : negation(d['c_1001_10']), '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_1001_3'], 'c_1001_2' : negation(d['c_0011_7']), 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : d['c_1001_3'], 'c_1010_12' : d['c_1001_3'], 'c_1010_11' : negation(d['c_0011_7']), 'c_1010_10' : negation(d['c_0011_10']), '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_0011_10'], 'c_0101_10' : d['c_0101_10'], '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_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' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : d['c_1001_3'], 'c_1100_8' : d['c_1001_5'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_1001_3'], 'c_1100_4' : d['c_1001_0'], 'c_1100_7' : negation(d['c_0101_10']), 'c_1100_6' : negation(d['c_0101_10']), 'c_1100_1' : negation(d['c_0101_10']), 'c_1100_0' : d['c_1001_0'], 'c_1100_3' : d['c_1001_0'], 'c_1100_2' : d['c_1001_10'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0011_10']), 'c_1100_10' : negation(d['c_0011_10']), 's_0_11' : 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' : d['c_1001_10'], '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_1001_3'], 'c_1010_8' : d['c_0101_2'], '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'], 'c_1100_12' : d['c_1001_3'], '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_12']), 'c_0011_8' : negation(d['c_0011_12']), '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' : d['c_0011_12'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_1'], 'c_0110_10' : d['c_0101_1'], 'c_0110_12' : d['c_0011_6'], 'c_0101_12' : negation(d['c_0011_6']), 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0011_10'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0101_0']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_6']), '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_6'], 'c_0101_8' : d['c_0101_0'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_6']), 'c_0110_8' : negation(d['c_0011_6']), 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_10'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_10']), 'c_0110_5' : negation(d['c_0011_6']), 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_1'], 'c_0011_10' : d['c_0011_10']})} 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_12, c_0011_6, c_0011_7, c_0101_0, c_0101_1, c_0101_10, c_0101_2, c_1001_0, c_1001_10, c_1001_3, c_1001_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t + 2831437/644362*c_1001_5^12 + 21764691/644362*c_1001_5^11 + 36981226/322181*c_1001_5^10 + 96123453/644362*c_1001_5^9 - 109007173/644362*c_1001_5^8 - 229947989/322181*c_1001_5^7 - 166692649/322181*c_1001_5^6 + 145743257/322181*c_1001_5^5 + 488847249/644362*c_1001_5^4 + 189381083/644362*c_1001_5^3 + 16756607/322181*c_1001_5^2 + 5522569/644362*c_1001_5 - 1247221/644362, c_0011_0 - 1, c_0011_10 + 45197/3238*c_1001_5^12 + 147085/1619*c_1001_5^11 + 379917/1619*c_1001_5^10 + 81955/3238*c_1001_5^9 - 3690443/3238*c_1001_5^8 - 5270735/3238*c_1001_5^7 + 3923119/3238*c_1001_5^6 + 11473755/3238*c_1001_5^5 + 897893/1619*c_1001_5^4 - 7009571/3238*c_1001_5^3 - 3102865/3238*c_1001_5^2 - 142650/1619*c_1001_5 - 44290/1619, c_0011_12 - 167119/19428*c_1001_5^12 - 543475/9714*c_1001_5^11 - 1401017/9714*c_1001_5^10 - 137167/9714*c_1001_5^9 + 13687207/19428*c_1001_5^8 + 4858622/4857*c_1001_5^7 - 3689440/4857*c_1001_5^6 - 10638023/4857*c_1001_5^5 - 6258749/19428*c_1001_5^4 + 4373867/3238*c_1001_5^3 + 5627497/9714*c_1001_5^2 + 148625/3238*c_1001_5 + 360485/19428, c_0011_6 - 177355/19428*c_1001_5^12 - 575935/9714*c_1001_5^11 - 1482359/9714*c_1001_5^10 - 136843/9714*c_1001_5^9 + 14508301/19428*c_1001_5^8 + 10256809/9714*c_1001_5^7 - 7850759/9714*c_1001_5^6 - 11233478/4857*c_1001_5^5 - 6558665/19428*c_1001_5^4 + 2301676/1619*c_1001_5^3 + 2992949/4857*c_1001_5^2 + 178473/3238*c_1001_5 + 329903/19428, c_0011_7 - 15883/3238*c_1001_5^12 - 51457/1619*c_1001_5^11 - 264019/3238*c_1001_5^10 - 10407/1619*c_1001_5^9 + 649547/1619*c_1001_5^8 + 909211/1619*c_1001_5^7 - 715343/1619*c_1001_5^6 - 2001896/1619*c_1001_5^5 - 533907/3238*c_1001_5^4 + 1239701/1619*c_1001_5^3 + 1039701/3238*c_1001_5^2 + 42151/1619*c_1001_5 + 14492/1619, c_0101_0 + 349331/19428*c_1001_5^12 + 1133981/9714*c_1001_5^11 + 2917375/9714*c_1001_5^10 + 132148/4857*c_1001_5^9 - 28569497/19428*c_1001_5^8 - 20168333/9714*c_1001_5^7 + 7748387/4857*c_1001_5^6 + 22099780/4857*c_1001_5^5 + 12705703/19428*c_1001_5^4 - 4534751/1619*c_1001_5^3 - 11691107/9714*c_1001_5^2 - 166787/1619*c_1001_5 - 675817/19428, c_0101_1 - 501913/19428*c_1001_5^12 - 1629679/9714*c_1001_5^11 - 4193891/9714*c_1001_5^10 - 384247/9714*c_1001_5^9 + 41058661/19428*c_1001_5^8 + 14506352/4857*c_1001_5^7 - 11120881/4857*c_1001_5^6 - 63580321/9714*c_1001_5^5 - 18439277/19428*c_1001_5^4 + 13044057/3238*c_1001_5^3 + 16869349/9714*c_1001_5^2 + 244376/1619*c_1001_5 + 1013933/19428, c_0101_10 - 15883/3238*c_1001_5^12 - 51457/1619*c_1001_5^11 - 264019/3238*c_1001_5^10 - 10407/1619*c_1001_5^9 + 649547/1619*c_1001_5^8 + 909211/1619*c_1001_5^7 - 715343/1619*c_1001_5^6 - 2001896/1619*c_1001_5^5 - 533907/3238*c_1001_5^4 + 1239701/1619*c_1001_5^3 + 1039701/3238*c_1001_5^2 + 42151/1619*c_1001_5 + 14492/1619, c_0101_2 - 1, c_1001_0 - 1, c_1001_10 - 18697/1619*c_1001_5^12 - 121325/1619*c_1001_5^11 - 311977/1619*c_1001_5^10 - 27928/1619*c_1001_5^9 + 1527161/1619*c_1001_5^8 + 2151913/1619*c_1001_5^7 - 1660966/1619*c_1001_5^6 - 4714561/1619*c_1001_5^5 - 664956/1619*c_1001_5^4 + 2902392/1619*c_1001_5^3 + 1238592/1619*c_1001_5^2 + 106635/1619*c_1001_5 + 38137/1619, c_1001_3 - 21643/1619*c_1001_5^12 - 140465/1619*c_1001_5^11 - 722481/3238*c_1001_5^10 - 64341/3238*c_1001_5^9 + 1769865/1619*c_1001_5^8 + 4992633/3238*c_1001_5^7 - 3845945/3238*c_1001_5^6 - 10949035/3238*c_1001_5^5 - 1563871/3238*c_1001_5^4 + 6749163/3238*c_1001_5^3 + 1446571/1619*c_1001_5^2 + 120381/1619*c_1001_5 + 83077/3238, c_1001_5^13 + 7*c_1001_5^12 + 20*c_1001_5^11 + 10*c_1001_5^10 - 81*c_1001_5^9 - 157*c_1001_5^8 + 30*c_1001_5^7 + 298*c_1001_5^6 + 165*c_1001_5^5 - 137*c_1001_5^4 - 146*c_1001_5^3 - 40*c_1001_5^2 - 5*c_1001_5 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.090 Total time: 0.300 seconds, Total memory usage: 32.09MB