Magma V2.19-8 Wed Aug 21 2013 00:05:07 on localhost [Seed = 3516383148] Type ? for help. Type -D to quit. Loading file "L9a26__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L9a26 geometric_solution 10.75904664 oriented_manifold CS_known 0.0000000000000004 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 1 2 3 0132 1230 0132 0132 1 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 0 0 -1 1 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 1.111489427829 1.226375040997 0 2 0 4 0132 2103 3012 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 -1 1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.594258740486 0.447679430242 4 1 5 0 0132 2103 0132 0132 1 1 1 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 -1 0 1 0 0 0 0 0 0 0 0 1 1 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.517230687343 0.778695610755 6 7 0 8 0132 0132 0132 0132 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 0 0 1 -1 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 0.198214530254 1.076125369256 2 5 1 8 0132 3120 0132 2031 1 1 0 1 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 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 1.158765373434 0.626508710212 9 4 8 2 0132 3120 0132 0132 1 1 0 1 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 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 -0.047275945605 0.599866330785 3 10 11 7 0132 0132 0132 1023 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 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 -0.571542297832 0.995908717900 10 3 9 6 0132 0132 1023 1023 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 0 0 -1 1 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 0.083819563020 1.163322284436 9 4 3 5 1023 1302 0132 0132 1 1 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 0 0 0 0 0 0 0 -1 1 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.141528407118 0.971345888605 5 8 7 11 0132 1023 1023 0132 1 1 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 0 0 0 0 0 -1 1 0 1 0 -1 2 -1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.198214530254 1.076125369256 7 6 11 11 0132 0132 3012 3120 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 0 0 0 0 0 0 -1 -3 4 0 0 1 -1 1 0 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.179987429202 0.658218674598 10 10 9 6 3120 1230 0132 0132 1 1 0 1 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 0 1 1 0 -1 0 1 -1 0 0 -4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.179987429202 0.658218674598 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_11'], 'c_1001_10' : negation(d['c_0011_11']), 'c_1001_5' : d['c_1001_0'], 'c_1001_4' : negation(d['c_1001_0']), 'c_1001_7' : d['c_0101_2'], 'c_1001_6' : negation(d['c_0011_11']), 'c_1001_1' : negation(d['c_0011_0']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : negation(d['c_0011_0']), 'c_1001_9' : d['c_0101_6'], 'c_1001_8' : d['c_0101_2'], 'c_1010_11' : negation(d['c_0011_11']), 'c_1010_10' : negation(d['c_0011_11']), 's_3_11' : 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_11']), '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_0011_11' : d['c_0011_11'], 'c_1100_8' : d['c_1100_0'], 'c_1100_5' : d['c_1100_0'], 'c_1100_4' : negation(d['c_1001_0']), 'c_1100_7' : negation(d['c_1100_11']), 'c_1100_6' : d['c_1100_11'], 'c_1100_1' : negation(d['c_1001_0']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_1100_0'], 's_0_10' : d['1'], 'c_1100_9' : d['c_1100_11'], 'c_1100_11' : d['c_1100_11'], 'c_1100_10' : negation(d['c_0101_11']), 's_0_11' : d['1'], 'c_1010_7' : d['c_0101_1'], 'c_1010_6' : negation(d['c_0011_11']), 'c_1010_5' : negation(d['c_0011_0']), 'c_1010_4' : negation(d['c_0011_5']), 'c_1010_3' : d['c_0101_2'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_1001_0']), 'c_1010_0' : d['c_0101_1'], 'c_1010_9' : d['c_0101_11'], 'c_1010_8' : d['c_1001_0'], '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_5']), 'c_0011_8' : negation(d['c_0011_5']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_10']), 'c_0011_6' : negation(d['c_0011_10']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_10'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_6'], 'c_0110_10' : d['c_0101_6'], 'c_0101_7' : d['c_0101_6'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_11'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_1'], '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_0101_6'], 'c_0011_10' : d['c_0011_10'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_11'], 'c_0110_8' : d['c_0101_11'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_6'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_2'], 'c_0110_7' : negation(d['c_0011_11']), 'c_0110_6' : d['c_0101_1']})} 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_5, c_0101_0, c_0101_1, c_0101_11, c_0101_2, c_0101_6, c_1001_0, c_1100_0, c_1100_11 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t + 413204136473/21808923003*c_1100_11^10 - 773677479752/21808923003*c_1100_11^9 + 3613830323686/21808923003*c_1100_11^8 - 865390045147/2423213667*c_1100_11^7 + 10520854386851/21808923003*c_1100_11^6 + 17662458280/53063073*c_1100_11^5 - 13289020336061/21808923003*c_1100_11^4 + 6428900264861/21808923003*c_1100_11^3 + 1501909200787/7269641001*c_1100_11^2 - 1084675895699/7269641001*c_1100_11 + 2296242257633/21808923003, c_0011_0 - 1, c_0011_10 - 13627715/38463709*c_1100_11^10 + 25917384/38463709*c_1100_11^9 - 112439960/38463709*c_1100_11^8 + 251806762/38463709*c_1100_11^7 - 295973151/38463709*c_1100_11^6 - 2413340/280757*c_1100_11^5 + 562841300/38463709*c_1100_11^4 - 32855701/38463709*c_1100_11^3 - 180001815/38463709*c_1100_11^2 + 67082537/38463709*c_1100_11 - 7694850/38463709, c_0011_11 - 6022635/38463709*c_1100_11^10 + 7663480/38463709*c_1100_11^9 - 45823384/38463709*c_1100_11^8 + 80298893/38463709*c_1100_11^7 - 82594906/38463709*c_1100_11^6 - 1550488/280757*c_1100_11^5 + 155268613/38463709*c_1100_11^4 - 13274787/38463709*c_1100_11^3 - 141184692/38463709*c_1100_11^2 + 18341041/38463709*c_1100_11 - 23794194/38463709, c_0011_5 - 13444098/38463709*c_1100_11^10 + 23021646/38463709*c_1100_11^9 - 112836254/38463709*c_1100_11^8 + 236902914/38463709*c_1100_11^7 - 301093124/38463709*c_1100_11^6 - 1994613/280757*c_1100_11^5 + 352480515/38463709*c_1100_11^4 - 43614538/38463709*c_1100_11^3 - 129530145/38463709*c_1100_11^2 + 35857552/38463709*c_1100_11 - 30339002/38463709, c_0101_0 - 1, c_0101_1 + 13444098/38463709*c_1100_11^10 - 23021646/38463709*c_1100_11^9 + 112836254/38463709*c_1100_11^8 - 236902914/38463709*c_1100_11^7 + 301093124/38463709*c_1100_11^6 + 1994613/280757*c_1100_11^5 - 352480515/38463709*c_1100_11^4 + 43614538/38463709*c_1100_11^3 + 129530145/38463709*c_1100_11^2 - 35857552/38463709*c_1100_11 + 30339002/38463709, c_0101_11 - 11074689/38463709*c_1100_11^10 + 19706278/38463709*c_1100_11^9 - 95789185/38463709*c_1100_11^8 + 199434374/38463709*c_1100_11^7 - 266627566/38463709*c_1100_11^6 - 1608560/280757*c_1100_11^5 + 352089447/38463709*c_1100_11^4 - 196481856/38463709*c_1100_11^3 - 130826332/38463709*c_1100_11^2 + 110919732/38463709*c_1100_11 - 73386921/38463709, c_0101_2 - 2369409/38463709*c_1100_11^10 + 3315368/38463709*c_1100_11^9 - 17047069/38463709*c_1100_11^8 + 37468540/38463709*c_1100_11^7 - 34465558/38463709*c_1100_11^6 - 386053/280757*c_1100_11^5 + 391068/38463709*c_1100_11^4 + 152867318/38463709*c_1100_11^3 + 1296187/38463709*c_1100_11^2 - 75062180/38463709*c_1100_11 + 43047919/38463709, c_0101_6 + 549103/38463709*c_1100_11^10 - 3559069/38463709*c_1100_11^9 + 7443915/38463709*c_1100_11^8 - 26798183/38463709*c_1100_11^7 + 41534429/38463709*c_1100_11^6 + 6269/280757*c_1100_11^5 - 141429174/38463709*c_1100_11^4 + 99557783/38463709*c_1100_11^3 + 33208561/38463709*c_1100_11^2 - 32029364/38463709*c_1100_11 + 31825139/38463709, c_1001_0 - 27660744/38463709*c_1100_11^10 + 49726381/38463709*c_1100_11^9 - 238463312/38463709*c_1100_11^8 + 505402116/38463709*c_1100_11^7 - 670983148/38463709*c_1100_11^6 - 3798047/280757*c_1100_11^5 + 821853162/38463709*c_1100_11^4 - 342592628/38463709*c_1100_11^3 - 288767669/38463709*c_1100_11^2 + 175196447/38463709*c_1100_11 - 161662415/38463709, c_1100_0 - 14216646/38463709*c_1100_11^10 + 26704735/38463709*c_1100_11^9 - 125627058/38463709*c_1100_11^8 + 268499202/38463709*c_1100_11^7 - 369890024/38463709*c_1100_11^6 - 1803434/280757*c_1100_11^5 + 469372647/38463709*c_1100_11^4 - 298978090/38463709*c_1100_11^3 - 159237524/38463709*c_1100_11^2 + 139338895/38463709*c_1100_11 - 92859704/38463709, c_1100_11^11 - 2*c_1100_11^10 + 9*c_1100_11^9 - 20*c_1100_11^8 + 28*c_1100_11^7 + 14*c_1100_11^6 - 34*c_1100_11^5 + 20*c_1100_11^4 + 8*c_1100_11^3 - 9*c_1100_11^2 + 7*c_1100_11 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.050 Total time: 0.260 seconds, Total memory usage: 32.09MB