Magma V2.19-8 Tue Aug 20 2013 17:59:49 on localhost [Seed = 3886437142] Type ? for help. Type -D to quit. Loading file "10^2_89__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation 10^2_89 geometric_solution 13.25063959 oriented_manifold CS_known -0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 14 1 2 3 3 0132 0132 0132 3120 1 1 1 1 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 -1 0 -4 5 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.513276561954 1.493313515328 0 4 6 5 0132 0132 0132 0132 1 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 0 1 0 0 -1 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.258292912296 1.109798857475 4 0 5 3 0132 0132 0213 3012 1 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 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 -0.280872502655 0.894416143525 0 4 2 0 3120 1230 1230 0132 1 1 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 1 0 -1 -5 0 1 4 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.197302851936 0.605343799739 2 1 3 7 0132 0132 3012 0132 1 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 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 0 0 0 0 0 0.118871020308 0.580802996811 6 2 1 7 0132 0213 0132 0213 1 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 0 0 0 1 -1 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.256146879221 0.670490739494 5 8 9 1 0132 0132 0132 0132 1 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 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 0.373929437757 0.833546319546 8 9 4 5 0213 0213 0132 0213 1 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 -1 1 0 1 0 -1 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 0.551977867751 0.998710349341 7 6 11 10 0213 0132 0132 0132 1 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 0 1 0 0 -1 -1 0 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.816484551374 1.216372051688 12 13 7 6 0132 0132 0213 0132 1 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 -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 0.816484551374 1.216372051688 12 13 8 13 2103 0213 0132 2310 1 1 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 1 0 -1 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 0.388693535384 0.729049996273 12 13 12 8 3120 0321 2310 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 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 0.388693535384 0.729049996273 9 11 10 11 0132 3201 2103 3120 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 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 0.388693535384 0.729049996273 10 9 10 11 3201 0132 0213 0321 1 0 1 1 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 1 -1 0 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 0.388693535384 0.729049996273 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_0' : d['1'], 'c_1001_11' : d['c_0011_11'], 'c_1001_10' : d['c_1001_10'], 'c_1001_13' : d['c_1001_10'], 'c_1001_12' : d['c_0011_10'], 'c_1001_5' : negation(d['c_0011_3']), 'c_1001_4' : negation(d['c_0011_3']), 'c_1001_7' : d['c_1001_1'], 'c_1001_6' : d['c_1001_10'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : negation(d['c_0101_3']), 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : negation(d['c_0011_3']), 'c_1001_9' : d['c_1001_1'], 'c_1001_8' : d['c_1001_1'], 'c_1010_13' : d['c_1001_1'], 'c_1010_12' : negation(d['c_0011_11']), 'c_1010_11' : d['c_1001_1'], 'c_1010_10' : d['c_0011_11'], 's_0_10' : d['1'], 's_0_11' : d['1'], 's_0_12' : negation(d['1']), 's_0_13' : d['1'], 's_2_8' : negation(d['1']), 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0011_10']), 'c_0101_10' : d['c_0101_10'], '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_13' : d['1'], 's_2_10' : d['1'], 's_2_11' : negation(d['1']), 's_0_8' : d['1'], 's_0_9' : negation(d['1']), 's_0_6' : negation(d['1']), 's_0_7' : d['1'], 's_0_4' : d['1'], 's_0_5' : negation(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_0011_10' : d['c_0011_10'], 'c_0011_13' : d['c_0011_12'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_1010_7'], 'c_1100_4' : negation(d['c_1001_3']), 'c_1100_7' : negation(d['c_1001_3']), 'c_1100_6' : d['c_1010_7'], 'c_1100_1' : d['c_1010_7'], 'c_1100_0' : negation(d['c_0101_3']), 'c_1100_3' : negation(d['c_0101_3']), 'c_1100_2' : negation(d['c_1001_3']), 's_3_11' : negation(d['1']), 'c_1100_11' : d['c_0011_12'], 'c_1100_10' : d['c_0011_12'], 'c_1100_13' : d['c_0011_11'], 's_3_10' : d['1'], 's_3_13' : d['1'], 'c_1010_7' : d['c_1010_7'], 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : negation(d['c_1001_3']), 'c_1010_4' : d['c_1001_1'], 'c_1010_3' : negation(d['c_0101_3']), 'c_1010_2' : negation(d['c_0101_3']), 'c_1010_1' : negation(d['c_0011_3']), 'c_1010_0' : negation(d['c_0011_3']), 'c_1010_9' : d['c_1001_10'], 'c_1010_8' : d['c_1001_10'], 's_3_1' : negation(d['1']), 'c_0101_13' : d['c_0011_10'], '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' : negation(d['1']), 's_3_9' : negation(d['1']), 's_3_8' : d['1'], 'c_1100_12' : 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' : d['1'], 's_1_1' : d['1'], 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : negation(d['1']), 'c_0011_9' : negation(d['c_0011_12']), 'c_0011_8' : d['c_0011_5'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_7'], 'c_0110_6' : d['c_0101_0'], '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_0110_11' : d['c_0011_7'], 'c_0110_10' : negation(d['c_0011_10']), 'c_0110_13' : negation(d['c_0011_11']), 'c_0110_12' : d['c_0011_7'], 'c_0101_12' : d['c_0101_10'], 'c_0110_0' : d['c_0101_0'], 'c_0011_6' : negation(d['c_0011_5']), 's_3_12' : d['1'], 'c_0101_7' : d['c_0011_5'], 'c_0101_6' : d['c_0101_10'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : negation(d['c_0101_3']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_5'], 'c_0101_1' : d['c_0101_0'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_7'], 'c_0101_8' : d['c_0011_7'], 's_1_13' : d['1'], 's_1_12' : negation(d['1']), 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_10'], 'c_0110_8' : d['c_0101_10'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_1010_7'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_3']), 'c_0110_5' : d['c_0101_10'], 'c_0110_4' : d['c_0011_5'], 'c_0110_7' : negation(d['c_0101_10']), 'c_1100_8' : d['c_0011_12']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 15 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_12, c_0011_3, c_0011_5, c_0011_7, c_0101_0, c_0101_10, c_0101_3, c_1001_1, c_1001_10, c_1001_3, c_1010_7 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t + 49770214548744899/63617612642724231*c_1010_7^8 - 303701003167926961/42411741761816154*c_1010_7^7 + 5736491161200037295/127235225285448462*c_1010_7^6 - 2144100585427972645/14137247253938718*c_1010_7^5 + 4908040760441283046/21205870880908077*c_1010_7^4 - 6318990916843903679/21205870880908077*c_1010_7^3 + 34430717127013165159/127235225285448462*c_1010_7^2 - 13915879075305906728/63617612642724231*c_1010_7 + 19838118234588543899/127235225285448462, c_0011_0 - 1, c_0011_10 - 1, c_0011_11 + 1, c_0011_12 - 22550066/984539117*c_1010_7^8 + 142090570/984539117*c_1010_7^7 - 906732832/984539117*c_1010_7^6 + 1798511980/984539117*c_1010_7^5 - 1761823344/984539117*c_1010_7^4 + 2447821406/984539117*c_1010_7^3 - 975763288/984539117*c_1010_7^2 + 1794469822/984539117*c_1010_7 - 738580256/984539117, c_0011_3 + 23884140/984539117*c_1010_7^8 - 116045291/984539117*c_1010_7^7 + 804144009/984539117*c_1010_7^6 - 730982905/984539117*c_1010_7^5 + 855454338/984539117*c_1010_7^4 + 598451483/984539117*c_1010_7^3 - 316931281/984539117*c_1010_7^2 + 115281200/984539117*c_1010_7 - 944346085/984539117, c_0011_5 + c_1010_7, c_0011_7 - 11882854/984539117*c_1010_7^8 + 48305855/984539117*c_1010_7^7 - 345642960/984539117*c_1010_7^6 + 32135336/984539117*c_1010_7^5 + 64336203/984539117*c_1010_7^4 - 207282083/984539117*c_1010_7^3 + 599134418/984539117*c_1010_7^2 + 402203486/984539117*c_1010_7 - 133476906/984539117, c_0101_0 - 22720186/984539117*c_1010_7^8 + 133228436/984539117*c_1010_7^7 - 898793136/984539117*c_1010_7^6 + 1616506359/984539117*c_1010_7^5 - 2481412981/984539117*c_1010_7^4 + 2381930249/984539117*c_1010_7^3 - 1388955534/984539117*c_1010_7^2 + 1457403610/984539117*c_1010_7 + 70238991/984539117, c_0101_10 + 10667212/984539117*c_1010_7^8 - 93784715/984539117*c_1010_7^7 + 561089872/984539117*c_1010_7^6 - 1766376644/984539117*c_1010_7^5 + 1826159547/984539117*c_1010_7^4 - 2655103489/984539117*c_1010_7^3 + 1574897706/984539117*c_1010_7^2 - 1392266336/984539117*c_1010_7 + 605103350/984539117, c_0101_3 - 18039706/984539117*c_1010_7^8 + 82128786/984539117*c_1010_7^7 - 601007450/984539117*c_1010_7^6 + 500544215/984539117*c_1010_7^5 - 1320040667/984539117*c_1010_7^4 + 1136066320/984539117*c_1010_7^3 - 1464723265/984539117*c_1010_7^2 + 975008842/984539117*c_1010_7 - 300329694/984539117, c_1001_1 + 10667212/984539117*c_1010_7^8 - 93784715/984539117*c_1010_7^7 + 561089872/984539117*c_1010_7^6 - 1766376644/984539117*c_1010_7^5 + 1826159547/984539117*c_1010_7^4 - 2655103489/984539117*c_1010_7^3 + 1574897706/984539117*c_1010_7^2 - 1392266336/984539117*c_1010_7 + 605103350/984539117, c_1001_10 - 11882854/984539117*c_1010_7^8 + 48305855/984539117*c_1010_7^7 - 345642960/984539117*c_1010_7^6 + 32135336/984539117*c_1010_7^5 + 64336203/984539117*c_1010_7^4 - 207282083/984539117*c_1010_7^3 + 599134418/984539117*c_1010_7^2 + 402203486/984539117*c_1010_7 - 133476906/984539117, c_1001_3 + 22720186/984539117*c_1010_7^8 - 133228436/984539117*c_1010_7^7 + 898793136/984539117*c_1010_7^6 - 1616506359/984539117*c_1010_7^5 + 2481412981/984539117*c_1010_7^4 - 2381930249/984539117*c_1010_7^3 + 1388955534/984539117*c_1010_7^2 - 1457403610/984539117*c_1010_7 - 70238991/984539117, c_1010_7^9 - 5*c_1010_7^8 + 35*c_1010_7^7 - 40*c_1010_7^6 + 69*c_1010_7^5 - 51*c_1010_7^4 + 55*c_1010_7^3 - 42*c_1010_7^2 - 2*c_1010_7 - 13 ], Ideal of Polynomial ring of rank 15 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_12, c_0011_3, c_0011_5, c_0011_7, c_0101_0, c_0101_10, c_0101_3, c_1001_1, c_1001_10, c_1001_3, c_1010_7 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 111440180312/3197964469*c_1010_7^9 + 7838629153/65264581*c_1010_7^8 - 855251048415/6395928938*c_1010_7^7 + 349880396433/6395928938*c_1010_7^6 - 486606318433/6395928938*c_1010_7^5 + 13500908942/456852067*c_1010_7^4 + 188444528621/3197964469*c_1010_7^3 + 32986956729/6395928938*c_1010_7^2 - 10097208462/456852067*c_1010_7 - 45728069607/6395928938, c_0011_0 - 1, c_0011_10 - 1, c_0011_11 - 1, c_0011_12 + 262480/225829*c_1010_7^9 - 2133334/225829*c_1010_7^8 + 5306858/225829*c_1010_7^7 - 6394672/225829*c_1010_7^6 + 5611404/225829*c_1010_7^5 - 5404408/225829*c_1010_7^4 + 2081398/225829*c_1010_7^3 - 1079784/225829*c_1010_7^2 + 359982/225829*c_1010_7 + 472056/225829, c_0011_3 - 1011328/225829*c_1010_7^9 + 3782552/225829*c_1010_7^8 - 5216883/225829*c_1010_7^7 + 3548787/225829*c_1010_7^6 - 3147025/225829*c_1010_7^5 + 1857442/225829*c_1010_7^4 - 342469/225829*c_1010_7^3 + 264321/225829*c_1010_7^2 + 178784/225829*c_1010_7 - 138323/225829, c_0011_5 + c_1010_7, c_0011_7 - 1021136/225829*c_1010_7^9 + 2548894/225829*c_1010_7^8 - 1326363/225829*c_1010_7^7 - 838408/225829*c_1010_7^6 - 19680/225829*c_1010_7^5 - 2636301/225829*c_1010_7^4 + 1381515/225829*c_1010_7^3 - 548030/225829*c_1010_7^2 + 961330/225829*c_1010_7 + 345074/225829, c_0101_0 - 45616/225829*c_1010_7^9 + 392554/225829*c_1010_7^8 - 1012272/225829*c_1010_7^7 + 1434708/225829*c_1010_7^6 - 1728727/225829*c_1010_7^5 + 1845059/225829*c_1010_7^4 - 784101/225829*c_1010_7^3 + 497854/225829*c_1010_7^2 - 175606/225829*c_1010_7 - 47637/225829, c_0101_10 + 1283616/225829*c_1010_7^9 - 4682228/225829*c_1010_7^8 + 6633221/225829*c_1010_7^7 - 5556264/225829*c_1010_7^6 + 5631084/225829*c_1010_7^5 - 2768107/225829*c_1010_7^4 + 699883/225829*c_1010_7^3 - 531754/225829*c_1010_7^2 - 601348/225829*c_1010_7 + 126982/225829, c_0101_3 - 711824/225829*c_1010_7^9 + 2707598/225829*c_1010_7^8 - 4206286/225829*c_1010_7^7 + 3954490/225829*c_1010_7^6 - 3861389/225829*c_1010_7^5 + 2372847/225829*c_1010_7^4 - 1237052/225829*c_1010_7^3 + 483481/225829*c_1010_7^2 + 61870/225829*c_1010_7 - 59062/225829, c_1001_1 + 1283616/225829*c_1010_7^9 - 4682228/225829*c_1010_7^8 + 6633221/225829*c_1010_7^7 - 5556264/225829*c_1010_7^6 + 5631084/225829*c_1010_7^5 - 2768107/225829*c_1010_7^4 + 699883/225829*c_1010_7^3 - 531754/225829*c_1010_7^2 - 601348/225829*c_1010_7 + 126982/225829, c_1001_10 - 1021136/225829*c_1010_7^9 + 2548894/225829*c_1010_7^8 - 1326363/225829*c_1010_7^7 - 838408/225829*c_1010_7^6 - 19680/225829*c_1010_7^5 - 2636301/225829*c_1010_7^4 + 1381515/225829*c_1010_7^3 - 548030/225829*c_1010_7^2 + 961330/225829*c_1010_7 + 345074/225829, c_1001_3 + 45616/225829*c_1010_7^9 - 392554/225829*c_1010_7^8 + 1012272/225829*c_1010_7^7 - 1434708/225829*c_1010_7^6 + 1728727/225829*c_1010_7^5 - 1845059/225829*c_1010_7^4 + 784101/225829*c_1010_7^3 - 497854/225829*c_1010_7^2 + 175606/225829*c_1010_7 + 47637/225829, c_1010_7^10 - 31/8*c_1010_7^9 + 45/8*c_1010_7^8 - 33/8*c_1010_7^7 + 7/2*c_1010_7^6 - 15/8*c_1010_7^5 - 1/8*c_1010_7^4 - 1/8*c_1010_7^3 - 1/4*c_1010_7^2 + 1/4*c_1010_7 + 1/8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.280 Total time: 0.490 seconds, Total memory usage: 32.09MB