Magma V2.19-8 Tue Aug 20 2013 23:26:32 on localhost [Seed = 711740168] Type ? for help. Type -D to quit. Loading file "K12n582__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K12n582 geometric_solution 5.85424272 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 2 1 0132 0132 3201 3201 0 0 0 0 0 0 -1 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 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 0.006968172435 0.595046953652 0 0 4 3 0132 2310 0132 0132 0 0 0 0 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 -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 0.068511737678 2.247132954061 0 0 6 5 2310 0132 0132 0132 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 -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 -0.067666618322 1.254227508717 6 5 1 6 1230 0132 0132 3120 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 -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 -0.478727453162 0.464354214666 5 5 6 1 3201 3012 3120 0132 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 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 0.216048724412 0.481115422447 4 3 2 4 1230 0132 0132 2310 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 1 0 -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 0.253949238490 1.104061389536 3 3 4 2 3120 3012 3120 0132 0 0 0 0 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 -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 0.730264791283 0.743351439498 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(d['1']), 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : d['1'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : negation(d['1']), 's_2_3' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : 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' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_0_6' : negation(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_1100_6' : d['c_0011_4'], 'c_1100_5' : d['c_0011_4'], 'c_1100_4' : negation(d['c_0101_6']), 's_3_6' : negation(d['1']), 'c_1100_1' : negation(d['c_0101_6']), 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : negation(d['c_0101_6']), 'c_1100_2' : d['c_0011_4'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0101_0']), 'c_0101_4' : negation(d['c_0011_4']), 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : d['c_0011_6'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_4'], '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_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0011_6']), 'c_1001_4' : d['c_0011_3'], 'c_1001_6' : negation(d['c_0011_3']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_6']), 'c_1001_3' : negation(d['c_0101_1']), 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_6'], 'c_0110_2' : negation(d['c_0101_0']), 'c_0110_5' : d['c_0011_4'], 'c_0110_4' : d['c_0101_1'], 'c_0110_6' : d['c_0011_6'], 'c_1010_6' : negation(d['c_0101_0']), 'c_1010_5' : negation(d['c_0101_1']), 'c_1010_4' : d['c_0101_0'], 'c_1010_3' : negation(d['c_0011_6']), 'c_1010_2' : negation(d['c_0011_6']), 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : negation(d['c_0101_0'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_4, c_0011_6, c_0101_0, c_0101_1, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t - 431170106407119/6779745458957312*c_0101_6^8 + 1992618682197429/3389872729478656*c_0101_6^7 - 866228672549463/847468182369664*c_0101_6^6 - 288772073191533/105933522796208*c_0101_6^5 + 29104249466821545/6779745458957312*c_0101_6^4 + 83464257630537831/27118981835829248*c_0101_6^3 + 17505087279215845/13559490917914624*c_0101_6^2 - 290871963884833297/27118981835829248*c_0101_6 + 4440669657046005/1694936364739328, c_0011_0 - 1, c_0011_3 + 2987525557/499686428284*c_0101_6^8 - 11568877529/249843214142*c_0101_6^7 + 2849260479/124921607071*c_0101_6^6 + 42801181921/124921607071*c_0101_6^5 - 31912447327/499686428284*c_0101_6^4 - 933378687197/1998745713136*c_0101_6^3 - 82730221797/999372856568*c_0101_6^2 + 1334425584871/1998745713136*c_0101_6 - 6728935918/124921607071, c_0011_4 - 6178949683/999372856568*c_0101_6^8 + 27130996929/499686428284*c_0101_6^7 - 11785477531/124921607071*c_0101_6^6 - 19459913700/124921607071*c_0101_6^5 + 276847010725/999372856568*c_0101_6^4 - 2785518474645/3997491426272*c_0101_6^3 - 424001830095/1998745713136*c_0101_6^2 + 1331316072563/3997491426272*c_0101_6 + 578369194701/249843214142, c_0011_6 - 4058095939/249843214142*c_0101_6^8 + 15129087323/124921607071*c_0101_6^7 - 2228126174/124921607071*c_0101_6^6 - 120953973510/124921607071*c_0101_6^5 - 71250658487/249843214142*c_0101_6^4 + 1599053608027/999372856568*c_0101_6^3 + 889200861607/499686428284*c_0101_6^2 - 1427412906641/999372856568*c_0101_6 - 260737170242/124921607071, c_0101_0 - 1774803913/999372856568*c_0101_6^8 + 10711209311/499686428284*c_0101_6^7 - 8354917412/124921607071*c_0101_6^6 - 7703105695/124921607071*c_0101_6^5 + 410877303783/999372856568*c_0101_6^4 + 528386923825/3997491426272*c_0101_6^3 - 1197640076681/1998745713136*c_0101_6^2 - 4810829460351/3997491426272*c_0101_6 + 98124604843/249843214142, c_0101_1 + 20142514181/999372856568*c_0101_6^8 - 70992371855/499686428284*c_0101_6^7 - 7398809393/124921607071*c_0101_6^6 + 168772443562/124921607071*c_0101_6^5 + 816597864237/999372856568*c_0101_6^4 - 10846198853773/3997491426272*c_0101_6^3 - 6310123396559/1998745713136*c_0101_6^2 + 3678439073451/3997491426272*c_0101_6 + 991613878913/249843214142, c_0101_6^9 - 7*c_0101_6^8 - 2*c_0101_6^7 + 56*c_0101_6^6 + 57*c_0101_6^5 - 269/4*c_0101_6^4 - 925/4*c_0101_6^3 - 203/4*c_0101_6^2 + 641/4*c_0101_6 + 212 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB