Magma V2.19-8 Wed Aug 21 2013 01:10:20 on localhost [Seed = 1613134316] Type ? for help. Type -D to quit. Loading file "L14n533__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n533 geometric_solution 12.07406134 oriented_manifold CS_known 0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 1 0132 0132 0132 2031 1 0 1 1 0 0 0 0 -1 0 -1 2 0 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 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 0.555268733379 1.045581828126 0 0 5 4 0132 1302 0132 0132 0 0 1 1 0 -2 0 2 1 0 1 -2 0 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 -1 0 0 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 0.603822268607 0.746010376150 4 0 7 6 0132 0132 0132 0132 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 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 0.690242273123 1.017613688101 6 8 7 0 0132 0132 0321 0132 1 0 1 0 0 0 0 0 -1 0 0 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 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 0.367508877415 0.537008624224 2 7 1 9 0132 3120 0132 0132 0 0 1 1 0 0 -2 2 0 0 2 -2 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 -1 1 0 -5 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.618888053165 0.469330123536 10 10 11 1 0132 1230 0132 0132 0 0 1 0 0 0 0 0 0 0 1 -1 0 0 0 0 2 0 -2 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.478790094996 0.670389829843 3 12 2 8 0132 0132 0132 0213 1 0 0 1 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 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 -0.082086704166 0.908924476288 9 4 3 2 0132 3120 0321 0132 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 -6 5 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.330697885511 0.484410322081 11 3 12 6 0213 0132 0132 0213 1 0 0 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 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.702737824826 0.784824479958 7 11 4 10 0132 2103 0132 0213 0 0 0 1 0 2 -2 0 0 0 2 -2 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 1 0 0 0 -1 1 0 0 0 0 6 -1 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.294509259323 0.987810363125 5 12 5 9 0132 1230 3012 0213 0 0 0 1 0 0 0 0 0 0 0 0 -2 0 0 2 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.294509259323 0.987810363125 8 9 12 5 0213 2103 1302 0132 0 0 0 1 0 0 0 0 0 0 1 -1 0 -2 0 2 0 0 0 0 0 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.294509259323 0.987810363125 11 6 10 8 2031 0132 3012 0132 1 0 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 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 0.957580189991 1.340779659686 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_11'], 'c_1001_10' : d['c_0011_10'], 'c_1001_12' : negation(d['c_0011_10']), 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : negation(d['c_1001_4']), 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : d['c_0101_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : negation(d['c_0011_0']), 'c_1001_9' : d['c_0011_11'], 'c_1001_8' : d['c_1001_0'], 'c_1010_12' : d['c_1001_0'], 'c_1010_11' : d['c_1001_5'], 'c_1010_10' : d['c_0101_12'], 's_0_10' : d['1'], 's_0_11' : d['1'], 's_0_12' : negation(d['1']), 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0011_12']), 'c_0101_10' : d['c_0101_1'], 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : negation(d['1']), 's_2_6' : negation(d['1']), 's_2_7' : d['1'], 's_2_12' : d['1'], 's_2_10' : d['1'], 's_2_11' : negation(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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_11' : d['c_0011_11'], 'c_1100_8' : negation(d['c_0011_10']), 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0101_12'], 'c_1100_4' : d['c_0101_12'], 'c_1100_7' : d['c_1001_3'], 'c_1100_6' : d['c_1001_3'], 'c_1100_1' : d['c_0101_12'], 'c_1100_0' : negation(d['c_1001_4']), 'c_1100_3' : negation(d['c_1001_4']), 'c_1100_2' : d['c_1001_3'], 's_3_11' : negation(d['1']), 'c_1100_9' : d['c_0101_12'], 'c_1100_11' : d['c_0101_12'], 'c_1100_10' : negation(d['c_1001_5']), 's_3_10' : d['1'], 'c_1010_7' : negation(d['c_0011_0']), 'c_1010_6' : negation(d['c_0011_10']), 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : d['c_0011_11'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_4'], 'c_1010_0' : negation(d['c_0011_0']), 'c_1010_9' : negation(d['c_1001_5']), 'c_1010_8' : d['c_1001_3'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : negation(d['1']), 's_3_5' : negation(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' : negation(d['c_0011_10']), 's_1_7' : d['1'], 's_1_6' : negation(d['1']), 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : 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_11'], 'c_0011_8' : negation(d['c_0011_12']), 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_11']), 'c_0110_6' : d['c_0101_3'], '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_3'], 'c_0110_10' : d['c_0101_3'], 'c_0110_12' : d['c_0011_11'], 'c_0101_12' : d['c_0101_12'], 'c_0011_6' : negation(d['c_0011_12']), 'c_0101_7' : negation(d['c_0101_3']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_3'], 'c_0101_4' : d['c_0101_0'], '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' : d['c_0101_2'], 'c_0101_8' : d['c_0011_11'], 's_1_12' : negation(d['1']), 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0101_3']), 'c_0110_8' : negation(d['c_0101_3']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_2'], 'c_0110_7' : d['c_0101_2'], '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_11, c_0011_12, c_0101_0, c_0101_1, c_0101_12, c_0101_2, c_0101_3, c_1001_0, c_1001_3, c_1001_4, c_1001_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t + 813773974373903210135/1919879476167370080256*c_1001_5^8 + 848607866018968851167/959939738083685040128*c_1001_5^7 + 6938773347363896800013/1919879476167370080256*c_1001_5^6 + 17813613503343839704811/1919879476167370080256*c_1001_5^5 + 2470537707420285665959/479969869041842520064*c_1001_5^4 + 792039338505348224593/59996233630230315008*c_1001_5^3 + 324557210072501604615/29998116815115157504*c_1001_5^2 - 111577748819644581789/7499529203778789376*c_1001_5 - 14714054974544662471/1874882300944697344, c_0011_0 - 1, c_0011_10 - 13077299230355061/937441150472348672*c_1001_5^8 - 11268991317107301/468720575236174336*c_1001_5^7 - 108213676275911831/937441150472348672*c_1001_5^6 - 246733672190083137/937441150472348672*c_1001_5^5 - 13934168560181153/234360287618087168*c_1001_5^4 - 12583724653488073/29295035952260896*c_1001_5^3 + 1888514902888889/14647517976130448*c_1001_5^2 + 828810803186733/915469873508153*c_1001_5 - 103727114915792/915469873508153, c_0011_11 - 12526333374881131/937441150472348672*c_1001_5^8 - 160531678305775/468720575236174336*c_1001_5^7 - 45020746550091769/937441150472348672*c_1001_5^6 - 41968787264413271/937441150472348672*c_1001_5^5 + 116697644746169367/234360287618087168*c_1001_5^4 + 2460558461651959/29295035952260896*c_1001_5^3 + 8348976031591639/14647517976130448*c_1001_5^2 + 3744056557282649/3661879494032612*c_1001_5 - 203003737370307/915469873508153, c_0011_12 - 3749753211344049/468720575236174336*c_1001_5^8 - 3476338872731107/234360287618087168*c_1001_5^7 - 25488258933413091/468720575236174336*c_1001_5^6 - 82485183762023481/468720575236174336*c_1001_5^5 - 3174010412577687/58590071904521792*c_1001_5^4 - 1908678639847287/7323758988065224*c_1001_5^3 - 8562089343670987/14647517976130448*c_1001_5^2 + 2335634235415867/3661879494032612*c_1001_5 + 483606231868653/915469873508153, c_0101_0 - 1, c_0101_1 + 13077299230355061/937441150472348672*c_1001_5^8 + 11268991317107301/468720575236174336*c_1001_5^7 + 108213676275911831/937441150472348672*c_1001_5^6 + 246733672190083137/937441150472348672*c_1001_5^5 + 13934168560181153/234360287618087168*c_1001_5^4 + 12583724653488073/29295035952260896*c_1001_5^3 - 1888514902888889/14647517976130448*c_1001_5^2 - 828810803186733/915469873508153*c_1001_5 + 103727114915792/915469873508153, c_0101_12 + 400152348989315/234360287618087168*c_1001_5^8 + 5479526327512791/234360287618087168*c_1001_5^7 + 13214774892614439/234360287618087168*c_1001_5^6 + 22785877322246613/117180143809043584*c_1001_5^5 + 95259676625208581/234360287618087168*c_1001_5^4 + 5980316492050731/29295035952260896*c_1001_5^3 + 5524714023942007/14647517976130448*c_1001_5^2 - 507811373879307/1830939747016306*c_1001_5 - 289407925167656/915469873508153, c_0101_2 + 3749753211344049/468720575236174336*c_1001_5^8 + 3476338872731107/234360287618087168*c_1001_5^7 + 25488258933413091/468720575236174336*c_1001_5^6 + 82485183762023481/468720575236174336*c_1001_5^5 + 3174010412577687/58590071904521792*c_1001_5^4 + 1908678639847287/7323758988065224*c_1001_5^3 + 8562089343670987/14647517976130448*c_1001_5^2 - 2335634235415867/3661879494032612*c_1001_5 - 483606231868653/915469873508153, c_0101_3 - 400152348989315/234360287618087168*c_1001_5^8 - 5479526327512791/234360287618087168*c_1001_5^7 - 13214774892614439/234360287618087168*c_1001_5^6 - 22785877322246613/117180143809043584*c_1001_5^5 - 95259676625208581/234360287618087168*c_1001_5^4 - 5980316492050731/29295035952260896*c_1001_5^3 - 5524714023942007/14647517976130448*c_1001_5^2 - 1323128373136999/1830939747016306*c_1001_5 + 289407925167656/915469873508153, c_1001_0 + 20576805653043159/937441150472348672*c_1001_5^8 + 18221669062569515/468720575236174336*c_1001_5^7 + 159190194142738013/937441150472348672*c_1001_5^6 + 411704039714130099/937441150472348672*c_1001_5^5 + 26630210210491901/234360287618087168*c_1001_5^4 + 20218439212877221/29295035952260896*c_1001_5^3 + 3336787220391049/7323758988065224*c_1001_5^2 - 5650877448162799/3661879494032612*c_1001_5 - 379879116952861/915469873508153, c_1001_3 - 17803561341456995/937441150472348672*c_1001_5^8 - 28707253252472553/468720575236174336*c_1001_5^7 - 197832170835155913/937441150472348672*c_1001_5^6 - 571654961115383515/937441150472348672*c_1001_5^5 - 92289953943330507/117180143809043584*c_1001_5^4 - 66634484513716973/58590071904521792*c_1001_5^3 - 1581088869491258/915469873508153*c_1001_5^2 - 4943058256324569/3661879494032612*c_1001_5 - 46069270561656/915469873508153, c_1001_4 + 2005891657932227/58590071904521792*c_1001_5^8 + 8699542861017713/117180143809043584*c_1001_5^7 + 20044945724318009/58590071904521792*c_1001_5^6 + 101927156627980609/117180143809043584*c_1001_5^5 + 109085437929601003/117180143809043584*c_1001_5^4 + 125502037906926585/58590071904521792*c_1001_5^3 + 32969546614630447/14647517976130448*c_1001_5^2 + 1552676208761607/1830939747016306*c_1001_5 + 1309420131729081/915469873508153, c_1001_5^9 + 510/169*c_1001_5^8 + 1899/169*c_1001_5^7 + 5417/169*c_1001_5^6 + 7024/169*c_1001_5^5 + 11216/169*c_1001_5^4 + 15040/169*c_1001_5^3 + 7168/169*c_1001_5^2 + 2048/169*c_1001_5 + 4096/169 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.170 Total time: 0.380 seconds, Total memory usage: 32.09MB