Magma V2.19-8 Tue Aug 20 2013 23:46:07 on localhost [Seed = 2244206713] Type ? for help. Type -D to quit. Loading file "K14n13641__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K14n13641 geometric_solution 10.89071391 oriented_manifold CS_known -0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 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 -1 0 1 10 0 0 -10 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.722448117385 1.151962311319 0 5 4 6 0132 0132 1230 0132 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 -11 10 1 -10 0 10 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 0.365929887139 0.324373917728 7 0 9 8 0132 0132 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0.264187163159 0.724280022200 6 9 5 0 0132 0132 2031 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.637951652053 0.860432690281 7 10 0 1 3012 0132 0132 3012 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 -1 1 0 0 10 -10 -1 11 0 -10 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.363164828289 1.168384459664 10 1 7 3 3201 0132 0321 1302 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 11 -11 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 -0.114831287639 2.343901848634 3 11 1 8 0132 0132 0132 0213 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1.415467772983 0.987387611794 2 10 5 4 0132 3201 0321 1230 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 -11 11 0 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 0.887561611097 0.823618923382 10 11 2 6 0132 0321 0132 0213 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.690254596748 0.679435842411 11 3 11 2 0213 0132 0321 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.027615962275 1.054785770973 8 4 7 5 0132 0132 2310 2310 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 -1 1 0 -1 0 1 0 -11 11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.394616130939 0.561770139938 9 6 9 8 0213 0132 0321 0321 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.027615962275 1.054785770973 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_11'], 'c_1001_10' : negation(d['c_0101_1']), 'c_1001_5' : d['c_0110_4'], 'c_1001_4' : negation(d['c_0110_5']), 'c_1001_7' : negation(d['c_0101_10']), 'c_1001_6' : d['c_0110_4'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0110_5']), 'c_1001_2' : negation(d['c_0110_5']), 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : d['c_1001_0'], 'c_1010_11' : d['c_0110_4'], 'c_1010_10' : negation(d['c_0110_5']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0011_11']), '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_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_11'], 'c_1100_8' : d['c_1001_11'], 'c_1100_5' : negation(d['c_0101_10']), 'c_1100_4' : negation(d['c_1001_1']), 'c_1100_7' : d['c_0110_4'], 'c_1100_6' : d['c_0110_4'], 'c_1100_1' : d['c_0110_4'], 'c_1100_0' : negation(d['c_1001_1']), 'c_1100_3' : negation(d['c_1001_1']), 'c_1100_2' : d['c_1001_11'], 's_3_11' : d['1'], 'c_1100_11' : d['c_1001_0'], 'c_1100_10' : d['c_0011_0'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0101_1'], 'c_1010_6' : d['c_1001_11'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : negation(d['c_0101_1']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0110_4'], 'c_1010_0' : negation(d['c_0110_5']), 'c_1010_9' : negation(d['c_0110_5']), 'c_1010_8' : d['c_0110_4'], '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'], '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_11']), 'c_0011_8' : negation(d['c_0011_10']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : negation(d['c_0011_11']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_11'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0011_10'], 'c_0110_10' : negation(d['c_0101_5']), 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : negation(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' : negation(d['c_0101_10']), 'c_0101_2' : negation(d['c_0011_10']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_11'], 'c_0101_8' : negation(d['c_0101_5']), 'c_0011_10' : d['c_0011_10'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_10']), 'c_0110_8' : d['c_0101_10'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_5']), 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0110_4'], 'c_0110_7' : negation(d['c_0011_10']), 'c_0110_6' : negation(d['c_0101_10'])})} 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_0101_0, c_0101_1, c_0101_10, c_0101_5, c_0110_4, c_0110_5, c_1001_0, c_1001_1, c_1001_11 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 2 Groebner basis: [ t + 8/27*c_1001_11 - 16/27, c_0011_0 - 1, c_0011_10 - 1/2*c_1001_11 + 1/2, c_0011_11 - c_1001_11 + 1, c_0101_0 + 1/2*c_1001_11, c_0101_1 + 1/2*c_1001_11 + 1/2, c_0101_10 - 1, c_0101_5 - c_1001_11 - 1, c_0110_4 - 1/2*c_1001_11, c_0110_5 - 1/2*c_1001_11, c_1001_0 + c_1001_11, c_1001_1 - 1/2*c_1001_11 + 1/2, c_1001_11^2 + 2 ], Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0101_0, c_0101_1, c_0101_10, c_0101_5, c_0110_4, c_0110_5, c_1001_0, c_1001_1, c_1001_11 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t - 452/11439*c_1001_11^6 + 370211/285975*c_1001_11^5 - 5653/19065*c_1001_11^4 + 433729/57195*c_1001_11^3 + 104/1025*c_1001_11^2 + 6055262/285975*c_1001_11 - 456626/95325, c_0011_0 - 1, c_0011_10 - 19/75*c_1001_11^6 + 1/150*c_1001_11^5 - 26/15*c_1001_11^4 - 14/75*c_1001_11^3 - 151/30*c_1001_11^2 + 71/150*c_1001_11 - 64/75, c_0011_11 + 1/75*c_1001_11^6 - 2/75*c_1001_11^5 - 1/15*c_1001_11^4 - 19/75*c_1001_11^3 + 2/15*c_1001_11^2 - 67/75*c_1001_11 + 31/75, c_0101_0 + 11/50*c_1001_11^6 - 1/25*c_1001_11^5 + 6/5*c_1001_11^4 + 1/50*c_1001_11^3 + 29/10*c_1001_11^2 - 36/25*c_1001_11 - 7/25, c_0101_1 - 1/75*c_1001_11^6 - 11/150*c_1001_11^5 - 2/15*c_1001_11^4 - 41/75*c_1001_11^3 - 13/30*c_1001_11^2 - 271/150*c_1001_11 - 1/75, c_0101_10 - 1, c_0101_5 + 4/75*c_1001_11^6 + 7/75*c_1001_11^5 + 2/15*c_1001_11^4 + 44/75*c_1001_11^3 + 2/15*c_1001_11^2 + 137/75*c_1001_11 - 11/75, c_0110_4 + 11/150*c_1001_11^6 + 4/75*c_1001_11^5 + 8/15*c_1001_11^4 + 31/150*c_1001_11^3 + 11/6*c_1001_11^2 - 1/75*c_1001_11 + 73/75, c_0110_5 + 11/150*c_1001_11^6 + 4/75*c_1001_11^5 + 8/15*c_1001_11^4 + 31/150*c_1001_11^3 + 11/6*c_1001_11^2 - 1/75*c_1001_11 + 73/75, c_1001_0 + c_1001_11, c_1001_1 + 1/75*c_1001_11^6 + 11/150*c_1001_11^5 + 2/15*c_1001_11^4 + 41/75*c_1001_11^3 + 13/30*c_1001_11^2 + 271/150*c_1001_11 + 1/75, c_1001_11^7 + 6*c_1001_11^5 + c_1001_11^4 + 17*c_1001_11^3 - 2*c_1001_11^2 + 2*c_1001_11 + 2 ], Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0101_0, c_0101_1, c_0101_10, c_0101_5, c_0110_4, c_0110_5, c_1001_0, c_1001_1, c_1001_11 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 2767349040191/214985664423*c_1001_11^9 - 77619762977548/1074928322115*c_1001_11^8 + 24472862238637/214985664423*c_1001_11^7 + 30979180780253/358309440705*c_1001_11^6 - 449371709957033/1074928322115*c_1001_11^5 + 1075128801829483/1074928322115*c_1001_11^4 - 83427041622389/1074928322115*c_1001_11^3 + 92789816491429/46736014005*c_1001_11^2 + 762857736626618/1074928322115*c_1001_11 + 188962913037101/119436480235, c_0011_0 - 1, c_0011_10 + 30510376/4522840065*c_1001_11^9 - 156265772/4522840065*c_1001_11^8 + 36905194/1507613355*c_1001_11^7 + 754739887/4522840065*c_1001_11^6 - 1526246708/4522840065*c_1001_11^5 + 9449285/33502519*c_1001_11^4 + 88569097/100507557*c_1001_11^3 - 884854448/4522840065*c_1001_11^2 + 810030008/1507613355*c_1001_11 - 621289379/4522840065, c_0011_11 + 29245462/4522840065*c_1001_11^9 - 38086057/904568013*c_1001_11^8 + 151991413/1507613355*c_1001_11^7 - 322455623/4522840065*c_1001_11^6 - 763893707/4522840065*c_1001_11^5 + 441431029/502537785*c_1001_11^4 - 161938764/167512595*c_1001_11^3 + 6014880253/4522840065*c_1001_11^2 - 39438802/1507613355*c_1001_11 + 447799424/904568013, c_0101_0 + 20309159/904568013*c_1001_11^9 - 590561876/4522840065*c_1001_11^8 + 66534506/301522671*c_1001_11^7 + 645795133/4522840065*c_1001_11^6 - 3919083581/4522840065*c_1001_11^5 + 326001848/167512595*c_1001_11^4 - 74458462/502537785*c_1001_11^3 + 12670175029/4522840065*c_1001_11^2 + 1476899972/1507613355*c_1001_11 + 7805913913/4522840065, c_0101_1 + 23037002/4522840065*c_1001_11^9 - 130144912/4522840065*c_1001_11^8 + 56873783/1507613355*c_1001_11^7 + 421867793/4522840065*c_1001_11^6 - 1420734859/4522840065*c_1001_11^5 + 213025912/502537785*c_1001_11^4 + 190020824/502537785*c_1001_11^3 - 1050003184/4522840065*c_1001_11^2 + 1770913177/1507613355*c_1001_11 + 258292196/4522840065, c_0101_10 - 61481191/4522840065*c_1001_11^9 + 409705253/4522840065*c_1001_11^8 - 298810789/1507613355*c_1001_11^7 + 4655401/904568013*c_1001_11^6 + 3034014929/4522840065*c_1001_11^5 - 282333278/167512595*c_1001_11^4 + 471313567/502537785*c_1001_11^3 - 5123900401/4522840065*c_1001_11^2 - 114951637/301522671*c_1001_11 + 2778062846/4522840065, c_0101_5 + 32484652/904568013*c_1001_11^9 - 943602316/4522840065*c_1001_11^8 + 100321627/301522671*c_1001_11^7 + 1477682003/4522840065*c_1001_11^6 - 6718217371/4522840065*c_1001_11^5 + 1471549909/502537785*c_1001_11^4 + 156476348/502537785*c_1001_11^3 + 14074778759/4522840065*c_1001_11^2 + 2888561977/1507613355*c_1001_11 + 4678120538/4522840065, c_0110_4 + 53404091/4522840065*c_1001_11^9 - 65383916/904568013*c_1001_11^8 + 188904194/1507613355*c_1001_11^7 + 499014776/4522840065*c_1001_11^6 - 2693621941/4522840065*c_1001_11^5 + 564831002/502537785*c_1001_11^4 - 7296617/167512595*c_1001_11^3 + 1239454994/4522840065*c_1001_11^2 + 864931819/1507613355*c_1001_11 - 449642360/904568013, c_0110_5 - 32092442/4522840065*c_1001_11^9 + 259783864/4522840065*c_1001_11^8 - 241944593/1507613355*c_1001_11^7 + 378414286/4522840065*c_1001_11^6 + 2016761596/4522840065*c_1001_11^5 - 41042308/33502519*c_1001_11^4 + 128050687/100507557*c_1001_11^3 - 2283332774/4522840065*c_1001_11^2 + 1101814379/1507613355*c_1001_11 + 2379434518/4522840065, c_1001_0 + 95194048/4522840065*c_1001_11^9 - 570785399/4522840065*c_1001_11^8 + 332680117/1507613355*c_1001_11^7 + 142505129/904568013*c_1001_11^6 - 4322565107/4522840065*c_1001_11^5 + 959666242/502537785*c_1001_11^4 - 17792502/167512595*c_1001_11^3 + 8779604218/4522840065*c_1001_11^2 + 314248117/301522671*c_1001_11 + 3939994372/4522840065, c_1001_1 - 23037002/4522840065*c_1001_11^9 + 130144912/4522840065*c_1001_11^8 - 56873783/1507613355*c_1001_11^7 - 421867793/4522840065*c_1001_11^6 + 1420734859/4522840065*c_1001_11^5 - 213025912/502537785*c_1001_11^4 - 190020824/502537785*c_1001_11^3 + 1050003184/4522840065*c_1001_11^2 - 1770913177/1507613355*c_1001_11 - 258292196/4522840065, c_1001_11^10 - 6*c_1001_11^9 + 11*c_1001_11^8 + 4*c_1001_11^7 - 39*c_1001_11^6 + 98*c_1001_11^5 - 36*c_1001_11^4 + 130*c_1001_11^3 + 62*c_1001_11^2 + 49*c_1001_11 + 23 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 2.340 Total time: 2.540 seconds, Total memory usage: 64.12MB