Magma V2.19-8 Tue Aug 20 2013 23:53:22 on localhost [Seed = 3246893616] Type ? for help. Type -D to quit. Loading file "L13n5887__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n5887 geometric_solution 10.78666130 oriented_manifold CS_known 0.0000000000000004 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 0 2 0 0132 1302 0132 2031 0 0 0 0 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 0 0 0 1 1 -2 1 0 0 -1 -1 2 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.552660782940 0.859213324174 0 2 4 3 0132 3201 0132 0132 1 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 -1 0 0 1 0 -1 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.025242889447 0.963073079886 5 6 1 0 0132 0132 2310 0132 0 0 0 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 1 -1 0 0 0 0 -1 0 0 1 5 -4 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.025242889447 0.963073079886 7 8 1 7 0132 0132 0132 0321 1 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 -1 1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.345357621094 1.442720588328 9 8 10 1 0132 0321 0132 0132 1 0 0 1 0 0 0 0 0 0 0 0 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 -1 1 0 0 0 0 0 -1 0 1 0 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.146185135704 0.645554006558 2 8 7 6 0132 0213 0132 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 -5 5 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.286656749381 0.788522884307 11 2 9 5 0132 0132 1023 1023 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 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 -0.146185135704 0.645554006558 3 3 10 5 0132 0321 0321 0132 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.845452069868 0.840301362859 11 3 5 4 1302 0132 0213 0321 1 1 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 0 0 0 0 -5 5 0 -1 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.499960247785 0.319475134941 4 11 6 10 0132 1230 1023 0321 1 0 1 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 -1 0 1 0 0 0 0 0 4 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.032285443549 1.511585183453 11 9 7 4 3012 0321 0321 0132 1 0 1 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 -1 0 1 0 0 0 0 1 4 0 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.501053644127 0.989459697520 6 8 9 10 0132 2031 3012 1230 0 1 0 1 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 1 -1 0 0 0 0 4 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.501053644127 0.989459697520 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_4'], 'c_1001_10' : d['c_1001_10'], 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : d['c_0101_11'], 'c_1001_7' : d['c_1001_7'], 'c_1001_6' : d['c_0101_1'], 'c_1001_1' : negation(d['c_0101_2']), 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : d['c_0101_2'], 'c_1001_9' : d['c_0011_10'], 'c_1001_8' : d['c_1001_5'], 'c_1010_11' : negation(d['c_0011_3']), 'c_1010_10' : d['c_0101_11'], 's_0_10' : 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' : negation(d['c_0011_3']), '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_10'], 'c_1100_8' : d['c_0101_11'], 'c_1100_5' : d['c_1001_10'], 'c_1100_4' : d['c_1001_7'], 'c_1100_7' : d['c_1001_10'], 'c_1100_6' : negation(d['c_1001_10']), 'c_1100_1' : d['c_1001_7'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_1001_7'], 'c_1100_2' : negation(d['c_0011_0']), 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0011_10']), 'c_1100_10' : d['c_1001_7'], 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_5'], 'c_1010_6' : d['c_0101_2'], 'c_1010_5' : d['c_0101_11'], 'c_1010_4' : negation(d['c_0101_2']), 'c_1010_3' : d['c_1001_5'], 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : negation(d['c_0101_2']), 'c_1010_0' : d['c_0011_0'], 'c_1010_9' : d['c_0101_11'], 'c_1010_8' : negation(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'], '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_4']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : negation(d['c_0011_11']), 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_3']), '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_3'], 'c_0011_2' : d['c_0011_11'], 'c_0110_11' : d['c_0011_10'], 'c_0110_10' : negation(d['c_0011_10']), 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : d['c_0011_3'], 'c_0101_6' : d['c_0011_10'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : negation(d['c_0011_10']), 'c_0101_3' : d['c_0101_0'], '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_0101_1'], 'c_0101_8' : negation(d['c_0011_11']), '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' : negation(d['c_0011_4']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_3'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_1'], 'c_0110_7' : d['c_0101_0'], '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_3, c_0011_4, c_0101_0, c_0101_1, c_0101_11, c_0101_2, c_1001_10, c_1001_5, c_1001_7 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 17 Groebner basis: [ t - 151760044710753617/2680380405098656*c_1001_7^16 + 362361861001298013/1340190202549328*c_1001_7^15 - 69555428320395631/206183108084512*c_1001_7^14 + 1909235953525147203/2680380405098656*c_1001_7^13 - 4924459658888429007/2680380405098656*c_1001_7^12 + 971661089494008867/2680380405098656*c_1001_7^11 - 9257994330661555255/2680380405098656*c_1001_7^10 - 7757965450140001/670095101274664*c_1001_7^9 + 1649438477328500479/2680380405098656*c_1001_7^8 + 8362962850102829687/2680380405098656*c_1001_7^7 + 17576717878448502619/2680380405098656*c_1001_7^6 + 872404746017969493/670095101274664*c_1001_7^5 - 70299112917467149/103091554042256*c_1001_7^4 - 3750189084608467693/1340190202549328*c_1001_7^3 - 6469250186207152107/2680380405098656*c_1001_7^2 - 851693167754022533/2680380405098656*c_1001_7 - 77562197608985227/2680380405098656, c_0011_0 - 1, c_0011_10 + 194465572725/1982529885428*c_1001_7^16 - 514815228491/991264942714*c_1001_7^15 + 801867773807/991264942714*c_1001_7^14 - 2864000199861/1982529885428*c_1001_7^13 + 7191167712571/1982529885428*c_1001_7^12 - 1672746875519/991264942714*c_1001_7^11 + 2555677977397/495632471357*c_1001_7^10 - 860358984421/495632471357*c_1001_7^9 - 9530002270037/1982529885428*c_1001_7^8 - 6665650246663/1982529885428*c_1001_7^7 - 13654476092857/991264942714*c_1001_7^6 + 10782368747003/1982529885428*c_1001_7^5 + 2061837733311/991264942714*c_1001_7^4 + 14212949809353/1982529885428*c_1001_7^3 + 13190092842509/1982529885428*c_1001_7^2 - 290272860023/991264942714*c_1001_7 + 833352246731/991264942714, c_0011_11 + c_1001_7, c_0011_3 - 2531195872069/7930119541712*c_1001_7^16 + 1611409580899/991264942714*c_1001_7^15 - 18870724010795/7930119541712*c_1001_7^14 + 36876266133071/7930119541712*c_1001_7^13 - 94329568379473/7930119541712*c_1001_7^12 + 45641920367369/7930119541712*c_1001_7^11 - 167596251424035/7930119541712*c_1001_7^10 + 4283311024411/495632471357*c_1001_7^9 + 16296397578747/7930119541712*c_1001_7^8 + 180474652061805/7930119541712*c_1001_7^7 + 238337649873805/7930119541712*c_1001_7^6 + 263259157081/1982529885428*c_1001_7^5 - 19125321984183/1982529885428*c_1001_7^4 - 76482026046895/3965059770856*c_1001_7^3 - 98040461866597/7930119541712*c_1001_7^2 - 24423975564187/7930119541712*c_1001_7 - 10286283766895/7930119541712, c_0011_4 + 147950224408/495632471357*c_1001_7^16 - 3012393170475/1982529885428*c_1001_7^15 + 1122644386941/495632471357*c_1001_7^14 - 2272783581657/495632471357*c_1001_7^13 + 22752973154231/1982529885428*c_1001_7^12 - 11496852863811/1982529885428*c_1001_7^11 + 20902165622751/991264942714*c_1001_7^10 - 8338016059955/991264942714*c_1001_7^9 - 649470532883/495632471357*c_1001_7^8 - 43268557993565/1982529885428*c_1001_7^7 - 65282130644173/1982529885428*c_1001_7^6 - 943071127577/991264942714*c_1001_7^5 + 8328066781569/1982529885428*c_1001_7^4 + 11452578310604/495632471357*c_1001_7^3 + 32516336215003/1982529885428*c_1001_7^2 + 11418086563603/1982529885428*c_1001_7 + 1934282142881/991264942714, c_0101_0 + 2303615/577828588*c_1001_7^16 - 18619617/144457147*c_1001_7^15 + 348294405/577828588*c_1001_7^14 - 581643957/577828588*c_1001_7^13 + 1152658539/577828588*c_1001_7^12 - 2515348331/577828588*c_1001_7^11 + 1808314137/577828588*c_1001_7^10 - 1172848046/144457147*c_1001_7^9 + 1544616591/577828588*c_1001_7^8 - 1301333535/577828588*c_1001_7^7 + 1673952005/577828588*c_1001_7^6 + 1136517331/144457147*c_1001_7^5 - 255783581/144457147*c_1001_7^4 + 871452581/288914294*c_1001_7^3 - 28536449/577828588*c_1001_7^2 - 162344635/577828588*c_1001_7 + 389009589/577828588, c_0101_1 + 2303615/577828588*c_1001_7^16 - 18619617/144457147*c_1001_7^15 + 348294405/577828588*c_1001_7^14 - 581643957/577828588*c_1001_7^13 + 1152658539/577828588*c_1001_7^12 - 2515348331/577828588*c_1001_7^11 + 1808314137/577828588*c_1001_7^10 - 1172848046/144457147*c_1001_7^9 + 1544616591/577828588*c_1001_7^8 - 1301333535/577828588*c_1001_7^7 + 1673952005/577828588*c_1001_7^6 + 1136517331/144457147*c_1001_7^5 - 255783581/144457147*c_1001_7^4 + 871452581/288914294*c_1001_7^3 - 28536449/577828588*c_1001_7^2 + 415483953/577828588*c_1001_7 + 389009589/577828588, c_0101_11 + 1008346628147/1982529885428*c_1001_7^16 - 1325252934488/495632471357*c_1001_7^15 + 8345662494239/1982529885428*c_1001_7^14 - 15967175041925/1982529885428*c_1001_7^13 + 40307395778767/1982529885428*c_1001_7^12 - 24114566104973/1982529885428*c_1001_7^11 + 69405232042403/1982529885428*c_1001_7^10 - 9805456685900/495632471357*c_1001_7^9 - 7575421633141/1982529885428*c_1001_7^8 - 73960889387247/1982529885428*c_1001_7^7 - 94684905291385/1982529885428*c_1001_7^6 + 9526706787801/991264942714*c_1001_7^5 + 7800628097362/495632471357*c_1001_7^4 + 17944860670854/495632471357*c_1001_7^3 + 39765650062131/1982529885428*c_1001_7^2 + 6517429276703/1982529885428*c_1001_7 + 3248140624315/1982529885428, c_0101_2 + 1, c_1001_10 - 147950224408/495632471357*c_1001_7^16 + 3012393170475/1982529885428*c_1001_7^15 - 1122644386941/495632471357*c_1001_7^14 + 2272783581657/495632471357*c_1001_7^13 - 22752973154231/1982529885428*c_1001_7^12 + 11496852863811/1982529885428*c_1001_7^11 - 20902165622751/991264942714*c_1001_7^10 + 8338016059955/991264942714*c_1001_7^9 + 649470532883/495632471357*c_1001_7^8 + 43268557993565/1982529885428*c_1001_7^7 + 65282130644173/1982529885428*c_1001_7^6 + 943071127577/991264942714*c_1001_7^5 - 8328066781569/1982529885428*c_1001_7^4 - 11452578310604/495632471357*c_1001_7^3 - 32516336215003/1982529885428*c_1001_7^2 - 11418086563603/1982529885428*c_1001_7 - 1934282142881/991264942714, c_1001_5 + 226872084971/991264942714*c_1001_7^16 - 579216638548/495632471357*c_1001_7^15 + 3454057795481/1982529885428*c_1001_7^14 - 1717729341334/495632471357*c_1001_7^13 + 8594440511743/991264942714*c_1001_7^12 - 8216541592033/1982529885428*c_1001_7^11 + 30285952718395/1982529885428*c_1001_7^10 - 2747803431687/495632471357*c_1001_7^9 - 1538344213270/495632471357*c_1001_7^8 - 14474476910165/991264942714*c_1001_7^7 - 53420792158345/1982529885428*c_1001_7^6 + 3780175433083/1982529885428*c_1001_7^5 + 1740470816521/495632471357*c_1001_7^4 + 33939750807895/1982529885428*c_1001_7^3 + 6205725718113/495632471357*c_1001_7^2 + 4238086680815/1982529885428*c_1001_7 + 2675051121609/1982529885428, c_1001_7^17 - 5*c_1001_7^16 + 7*c_1001_7^15 - 14*c_1001_7^14 + 36*c_1001_7^13 - 14*c_1001_7^12 + 64*c_1001_7^11 - 19*c_1001_7^10 - 15*c_1001_7^9 - 70*c_1001_7^8 - 116*c_1001_7^7 - 7*c_1001_7^6 + 24*c_1001_7^5 + 74*c_1001_7^4 + 59*c_1001_7^3 + 18*c_1001_7^2 + 8*c_1001_7 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.050 Total time: 0.270 seconds, Total memory usage: 32.09MB