Magma V2.19-8 Wed Aug 21 2013 00:55:26 on localhost [Seed = 2210765309] Type ? for help. Type -D to quit. Loading file "L13a6857__sl2_c7.magma" ==TRIANGULATION=BEGINS== % Triangulation L13a6857 geometric_solution 11.42000125 oriented_manifold CS_known -0.0000000000000001 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 2 2 2 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 1 -1 0 0 3 -2 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.391365860235 0.559780543082 0 5 6 5 0132 0132 0132 0213 1 2 0 2 0 1 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 4 -1 -3 0 0 0 0 -3 3 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.598962633546 0.543235261182 7 0 9 8 0132 0132 0132 0132 2 0 0 2 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 -2 2 0 0 5 1 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.594261314358 0.936807674250 10 6 4 0 0132 2031 2310 0132 2 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 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 0.391365860235 0.559780543082 4 3 0 4 3201 3201 0132 2310 2 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.838902100186 1.199903008792 10 1 8 1 2310 0132 2103 0213 1 0 2 0 0 -1 0 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 -4 1 3 0 0 0 0 0 0 0 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.598962633546 0.543235261182 3 8 8 1 1302 2103 2031 0132 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 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 0.083960000443 0.830811807852 2 11 12 12 0132 0132 0132 2031 0 0 2 0 0 -1 0 1 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 -2 0 2 0 0 0 0 -5 0 0 5 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.547979276363 1.285694063026 5 6 2 6 2103 2103 0132 1302 2 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 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 0.598962633546 0.543235261182 12 11 10 2 0132 1230 2310 0132 2 0 2 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 0 -1 -1 0 1 0 -6 0 0 6 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.480778348446 1.754636420546 3 9 5 11 0132 3201 3201 2310 0 2 2 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 3 -3 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 0.594261314358 0.936807674250 10 7 9 12 3201 0132 3012 1302 0 2 0 2 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 2 -3 1 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 1.020057715915 0.808706260193 9 7 11 7 0132 1302 2031 0132 0 0 0 2 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 0 0 0 0 1 0 -1 0 0 -2 0 2 6 -5 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.835467906631 0.868919706354 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_12'], 'c_1001_10' : negation(d['c_0101_5']), 'c_1001_12' : d['c_0101_12'], 'c_1001_5' : d['c_0011_8'], 'c_1001_4' : d['c_0101_11'], 'c_1001_7' : d['c_1001_7'], 'c_1001_6' : d['c_0011_8'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0011_6'], 'c_1001_3' : negation(d['c_0101_1']), 'c_1001_2' : d['c_0101_11'], 'c_1001_9' : negation(d['c_0101_12']), 'c_1001_8' : d['c_0011_6'], 'c_1010_12' : d['c_1001_7'], 'c_1010_11' : d['c_1001_7'], 'c_1010_10' : d['c_0101_12'], 's_3_11' : d['1'], 's_3_10' : negation(d['1']), 's_0_12' : d['1'], 's_3_12' : negation(d['1']), 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_0'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : negation(d['1']), 's_2_4' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : negation(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' : negation(d['1']), 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : negation(d['c_0011_0']), 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0011_8'], 'c_1100_4' : d['c_0011_4'], 'c_1100_7' : negation(d['c_1001_7']), 'c_1100_6' : d['c_1001_1'], 'c_1100_1' : d['c_1001_1'], 'c_1100_0' : d['c_0011_4'], 'c_1100_3' : d['c_0011_4'], 'c_1100_2' : d['c_0011_10'], 's_0_10' : negation(d['1']), 'c_1100_9' : d['c_0011_10'], 'c_1100_11' : d['c_0101_12'], 'c_1100_10' : negation(d['c_0011_0']), 's_0_11' : negation(d['1']), 'c_1010_7' : d['c_0011_12'], 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_0101_1'], 'c_1010_3' : d['c_0011_6'], 'c_1010_2' : d['c_0011_6'], 'c_1010_1' : d['c_0011_8'], 'c_1010_0' : d['c_0101_11'], 'c_1010_9' : d['c_0101_11'], 'c_1010_8' : negation(d['c_1001_1']), 'c_1100_8' : d['c_0011_10'], 's_3_1' : d['1'], 's_3_0' : negation(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' : negation(d['1']), 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : negation(d['c_1001_7']), 's_1_7' : negation(d['1']), 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(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' : negation(d['c_0011_12']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_0'], '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' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0101_12']), 'c_0110_10' : negation(d['c_0101_11']), 'c_0110_12' : d['c_0101_5'], 'c_0101_12' : d['c_0101_12'], 'c_0101_7' : d['c_0101_5'], 'c_0101_6' : d['c_0011_10'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0101_11']), 'c_0101_2' : d['c_0101_12'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_5'], 'c_0101_8' : d['c_0101_5'], 's_1_12' : negation(d['1']), 's_1_11' : negation(d['1']), 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_12'], 'c_0110_8' : negation(d['c_0011_8']), '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_5'], 'c_0110_5' : negation(d['c_0101_0']), 'c_0110_4' : negation(d['c_0101_1']), 'c_0110_7' : d['c_0101_12'], 'c_0110_6' : d['c_0101_1']})} 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_4, c_0011_6, c_0011_8, c_0101_0, c_0101_1, c_0101_11, c_0101_12, c_0101_5, c_1001_1, c_1001_7 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t + 127875721191417576000/13056275164909774043*c_1001_7^10 + 538767070768923708545/13056275164909774043*c_1001_7^9 - 69284737322641506397/13056275164909774043*c_1001_7^8 - 9033506434634259193588/13056275164909774043*c_1001_7^7 + 12712118037831790074776/13056275164909774043*c_1001_7^6 + 105810263733117953072/768016186171163179*c_1001_7^5 - 3885805063027977818309/13056275164909774043*c_1001_7^4 - 4122259357591756825566/13056275164909774043*c_1001_7^3 + 661406007634900597772/13056275164909774043*c_1001_7^2 + 1579212578083911627528/13056275164909774043*c_1001_7 + 229189380911383587080/13056275164909774043, c_0011_0 - 1, c_0011_10 + 1, c_0011_12 + 36215544335182953225/13056275164909774043*c_1001_7^10 + 212014346380334335902/13056275164909774043*c_1001_7^9 + 324746562457571888573/13056275164909774043*c_1001_7^8 - 2044176832250930707088/13056275164909774043*c_1001_7^7 + 224394961408030946699/13056275164909774043*c_1001_7^6 + 63916381655890892962/768016186171163179*c_1001_7^5 + 522644118477015729740/13056275164909774043*c_1001_7^4 - 327843583327540426482/13056275164909774043*c_1001_7^3 - 274605970904455411402/13056275164909774043*c_1001_7^2 - 28162281510599334964/13056275164909774043*c_1001_7 + 3603855930566930563/13056275164909774043, c_0011_4 - 4347995894687160850/13056275164909774043*c_1001_7^10 - 19641881581597177542/13056275164909774043*c_1001_7^9 - 3811600443227567729/13056275164909774043*c_1001_7^8 + 303660189525170986823/13056275164909774043*c_1001_7^7 - 347501646077098742287/13056275164909774043*c_1001_7^6 - 9446960737926247662/768016186171163179*c_1001_7^5 + 158679839804446219584/13056275164909774043*c_1001_7^4 + 107455974084886642770/13056275164909774043*c_1001_7^3 + 11734495908644066950/13056275164909774043*c_1001_7^2 - 47524074228249332553/13056275164909774043*c_1001_7 - 21897827232590870661/13056275164909774043, c_0011_6 + 7355350981529731400/13056275164909774043*c_1001_7^10 + 37851059965785075403/13056275164909774043*c_1001_7^9 + 40436721815056264498/13056275164909774043*c_1001_7^8 - 435376747832869409772/13056275164909774043*c_1001_7^7 + 370032838683926456399/13056275164909774043*c_1001_7^6 - 6463340281536008563/768016186171163179*c_1001_7^5 + 133829148750995592102/13056275164909774043*c_1001_7^4 - 86302011030860994584/13056275164909774043*c_1001_7^3 + 33436941455290621558/13056275164909774043*c_1001_7^2 - 13338235562726769214/13056275164909774043*c_1001_7 + 7441614372773804218/13056275164909774043, c_0011_8 - 7355350981529731400/13056275164909774043*c_1001_7^10 - 37851059965785075403/13056275164909774043*c_1001_7^9 - 40436721815056264498/13056275164909774043*c_1001_7^8 + 435376747832869409772/13056275164909774043*c_1001_7^7 - 370032838683926456399/13056275164909774043*c_1001_7^6 + 6463340281536008563/768016186171163179*c_1001_7^5 - 133829148750995592102/13056275164909774043*c_1001_7^4 + 86302011030860994584/13056275164909774043*c_1001_7^3 - 33436941455290621558/13056275164909774043*c_1001_7^2 + 13338235562726769214/13056275164909774043*c_1001_7 + 5614660792135969825/13056275164909774043, c_0101_0 - 7355350981529731400/13056275164909774043*c_1001_7^10 - 37851059965785075403/13056275164909774043*c_1001_7^9 - 40436721815056264498/13056275164909774043*c_1001_7^8 + 435376747832869409772/13056275164909774043*c_1001_7^7 - 370032838683926456399/13056275164909774043*c_1001_7^6 + 6463340281536008563/768016186171163179*c_1001_7^5 - 133829148750995592102/13056275164909774043*c_1001_7^4 + 86302011030860994584/13056275164909774043*c_1001_7^3 - 33436941455290621558/13056275164909774043*c_1001_7^2 + 13338235562726769214/13056275164909774043*c_1001_7 - 7441614372773804218/13056275164909774043, c_0101_1 - 1, c_0101_11 + 6701100803469416200/13056275164909774043*c_1001_7^10 + 16089422682996757724/13056275164909774043*c_1001_7^9 - 75286922818754079427/13056275164909774043*c_1001_7^8 - 585342429590899755636/13056275164909774043*c_1001_7^7 + 1346635833482134563013/13056275164909774043*c_1001_7^6 + 2699471008471974515/768016186171163179*c_1001_7^5 - 593531157051658201108/13056275164909774043*c_1001_7^4 - 328856017146016684350/13056275164909774043*c_1001_7^3 + 104855552343515159407/13056275164909774043*c_1001_7^2 + 152488611093966180636/13056275164909774043*c_1001_7 + 25005141128464805153/13056275164909774043, c_0101_12 - 54684798111356833800/13056275164909774043*c_1001_7^10 - 314287721824360901051/13056275164909774043*c_1001_7^9 - 461756533891331948315/13056275164909774043*c_1001_7^8 + 3108010747022398284851/13056275164909774043*c_1001_7^7 - 708638003131299637088/13056275164909774043*c_1001_7^6 - 74752693132071653404/768016186171163179*c_1001_7^5 - 762360107674968165725/13056275164909774043*c_1001_7^4 + 431428791039694550499/13056275164909774043*c_1001_7^3 + 378322508871576059560/13056275164909774043*c_1001_7^2 + 42334432158775030241/13056275164909774043*c_1001_7 - 12362556262453319266/13056275164909774043, c_0101_5 + 13018970972457906850/13056275164909774043*c_1001_7^10 + 68797519457608836212/13056275164909774043*c_1001_7^9 + 75668278486229007054/13056275164909774043*c_1001_7^8 - 788548180289306972635/13056275164909774043*c_1001_7^7 + 514937167766833683783/13056275164909774043*c_1001_7^6 + 11973651670632876367/768016186171163179*c_1001_7^5 + 36587772810529634264/13056275164909774043*c_1001_7^4 - 161023899240711959272/13056275164909774043*c_1001_7^3 - 29547842649251331613/13056275164909774043*c_1001_7^2 + 26242250032313608818/13056275164909774043*c_1001_7 + 792428928848111880/13056275164909774043, c_1001_1 - 1, c_1001_7^11 + 138/25*c_1001_7^10 + 179/25*c_1001_7^9 - 1466/25*c_1001_7^8 + 26*c_1001_7^7 + 19*c_1001_7^6 + 49/5*c_1001_7^5 - 289/25*c_1001_7^4 - 111/25*c_1001_7^3 + 9/25*c_1001_7^2 + 7/25*c_1001_7 - 1/25 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.250 seconds, Total memory usage: 32.09MB