Magma V2.19-8 Wed Aug 21 2013 01:02:37 on localhost [Seed = 1831564947] Type ? for help. Type -D to quit. Loading file "L14n15458__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n15458 geometric_solution 12.28998717 oriented_manifold CS_known 0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 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 0 0 1 1 -2 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 0.466584420745 0.653706678095 0 5 6 4 0132 0132 0132 2103 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 -1 -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 0.918460848570 1.143402176323 7 0 8 7 0132 0132 0132 2103 0 1 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 -1 1 0 -2 0 -1 3 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.377956161476 0.814609933170 9 8 10 0 0132 3120 0132 0132 0 1 0 0 0 0 1 -1 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 1 -1 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 0.749321680516 0.918301987504 6 9 0 1 0132 2103 0132 2103 0 1 1 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 2 -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 1.141341710609 0.709828628295 11 1 12 12 0132 0132 0132 3120 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 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 0.435645409312 0.813005983518 4 10 12 1 0132 1023 3120 0132 1 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 0 0 0 0 1 0 -1 0 0 1 -1 -1 1 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.601928125552 0.423590999480 2 11 10 2 0132 0132 2310 2103 0 1 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 -1 0 1 2 0 1 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.377956161476 0.814609933170 11 3 11 2 2103 3120 0132 0132 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 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 0.592125016584 0.775429142313 3 4 10 12 0132 2103 3120 0321 1 1 0 0 0 0 0 0 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 0 0 0 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 0.052110358923 1.013474544212 6 7 9 3 1023 3201 3120 0132 0 1 0 1 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 1 -1 -1 0 0 1 -1 0 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.289336338177 0.680256585605 5 7 8 8 0132 0132 2103 0132 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 1 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 0 0 0 0.531327728990 1.010130608470 5 9 6 5 3120 0321 3120 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 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 0.576180797628 0.830042749344 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_8'], 'c_1001_10' : d['c_0011_10'], 'c_1001_12' : negation(d['c_0101_10']), 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : negation(d['c_0011_3']), 'c_1001_7' : negation(d['c_1001_3']), 'c_1001_6' : d['c_0101_10'], 'c_1001_1' : negation(d['c_0011_12']), 'c_1001_0' : negation(d['c_0011_8']), 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : negation(d['c_0011_3']), 'c_1001_9' : negation(d['c_0011_10']), 'c_1001_8' : negation(d['c_1001_3']), 'c_1010_12' : d['c_1001_5'], 'c_1010_11' : negation(d['c_1001_3']), 'c_1010_10' : d['c_1001_3'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : 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_10'], '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_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' : 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_1100_9' : negation(d['c_0101_10']), 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0101_12']), 'c_1100_4' : negation(d['c_0101_0']), 'c_1100_7' : d['c_0011_10'], 'c_1100_6' : negation(d['c_0101_12']), 'c_1100_1' : negation(d['c_0101_12']), 'c_1100_0' : negation(d['c_0101_0']), 'c_1100_3' : negation(d['c_0101_0']), 'c_1100_2' : negation(d['c_0101_2']), 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0101_2']), 'c_1100_10' : negation(d['c_0101_0']), 's_0_11' : d['1'], 'c_1010_7' : d['c_0011_8'], 'c_1010_6' : negation(d['c_0011_12']), 'c_1010_5' : negation(d['c_0011_12']), 'c_1010_4' : negation(d['c_1001_5']), 'c_1010_3' : negation(d['c_0011_8']), 'c_1010_2' : negation(d['c_0011_8']), 'c_1010_1' : d['c_1001_5'], 'c_1010_0' : negation(d['c_0011_3']), 'c_1010_9' : d['c_1001_5'], 'c_1010_8' : negation(d['c_0011_3']), 'c_1100_8' : negation(d['c_0101_2']), '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'], 'c_1100_12' : negation(d['c_0101_12']), '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_3']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : 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_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_11'], 'c_0110_10' : negation(d['c_0011_12']), 'c_0110_12' : d['c_0101_11'], 'c_0101_12' : d['c_0101_12'], 'c_0011_11' : negation(d['c_0011_0']), 'c_0101_7' : negation(d['c_0011_10']), 'c_0101_6' : d['c_0101_12'], 'c_0101_5' : d['c_0101_11'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_12']), '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_0'], 'c_0101_8' : d['c_0101_11'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_12']), 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_10']), 'c_0110_5' : d['c_0101_11'], 'c_0110_4' : d['c_0101_12'], 'c_0110_7' : d['c_0101_2'], '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_3, c_0011_8, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_12, c_0101_2, c_1001_3, c_1001_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 81501/2125*c_1001_5^5 - 5856/125*c_1001_5^4 + 21027/2125*c_1001_5^3 - 818637/2125*c_1001_5^2 + 1160249/2125*c_1001_5 - 407951/2125, c_0011_0 - 1, c_0011_10 + 20*c_1001_5^5 - 6*c_1001_5^4 - 4*c_1001_5^3 - 203*c_1001_5^2 + 98*c_1001_5 + 28, c_0011_12 - 42*c_1001_5^5 + 13*c_1001_5^4 + 9*c_1001_5^3 + 426*c_1001_5^2 - 209*c_1001_5 - 60, c_0011_3 + 312/25*c_1001_5^5 - 93/25*c_1001_5^4 - 66/25*c_1001_5^3 - 3162/25*c_1001_5^2 + 61*c_1001_5 + 451/25, c_0011_8 - 128/25*c_1001_5^5 + 42/25*c_1001_5^4 + 29/25*c_1001_5^3 + 1303/25*c_1001_5^2 - 26*c_1001_5 - 169/25, c_0101_0 - 1, c_0101_1 - 56*c_1001_5^5 + 17*c_1001_5^4 + 12*c_1001_5^3 + 568*c_1001_5^2 - 276*c_1001_5 - 82, c_0101_10 + 86*c_1001_5^5 - 26*c_1001_5^4 - 18*c_1001_5^3 - 873*c_1001_5^2 + 423*c_1001_5 + 124, c_0101_11 - 13*c_1001_5^5 + 4*c_1001_5^4 + 3*c_1001_5^3 + 132*c_1001_5^2 - 65*c_1001_5 - 20, c_0101_12 - 81*c_1001_5^5 + 25*c_1001_5^4 + 17*c_1001_5^3 + 822*c_1001_5^2 - 403*c_1001_5 - 116, c_0101_2 - 33*c_1001_5^5 + 10*c_1001_5^4 + 7*c_1001_5^3 + 335*c_1001_5^2 - 163*c_1001_5 - 48, c_1001_3 + 568/25*c_1001_5^5 - 177/25*c_1001_5^4 - 124/25*c_1001_5^3 - 5768/25*c_1001_5^2 + 113*c_1001_5 + 814/25, c_1001_5^6 - c_1001_5^5 - 10*c_1001_5^3 + 12*c_1001_5^2 - 2*c_1001_5 - 1 ], 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_3, c_0011_8, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_12, c_0101_2, c_1001_3, c_1001_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t - 14703702537/194815108*c_1001_5^10 + 60720161171/389630216*c_1001_5^9 + 1800784077/194815108*c_1001_5^8 - 609782714965/1558520864*c_1001_5^7 + 234342610355/779260432*c_1001_5^6 + 335816412981/779260432*c_1001_5^5 - 1117699958745/1558520864*c_1001_5^4 + 332583501181/1558520864*c_1001_5^3 + 56819087729/1558520864*c_1001_5^2 - 42743524409/1558520864*c_1001_5 - 57737987815/1558520864, c_0011_0 - 1, c_0011_10 - 19397688/48703777*c_1001_5^10 + 47089076/48703777*c_1001_5^9 + 18631288/48703777*c_1001_5^8 - 145322859/48703777*c_1001_5^7 + 83552226/48703777*c_1001_5^6 + 211666034/48703777*c_1001_5^5 - 249534449/48703777*c_1001_5^4 - 48018484/48703777*c_1001_5^3 + 111707905/48703777*c_1001_5^2 - 15387184/48703777*c_1001_5 + 33721906/48703777, c_0011_12 + 102047128/48703777*c_1001_5^10 - 250208980/48703777*c_1001_5^9 + 57761880/48703777*c_1001_5^8 + 545573715/48703777*c_1001_5^7 - 582220548/48703777*c_1001_5^6 - 479571227/48703777*c_1001_5^5 + 1168527227/48703777*c_1001_5^4 - 541304733/48703777*c_1001_5^3 + 64143186/48703777*c_1001_5^2 - 26056313/48703777*c_1001_5 + 33350404/48703777, c_0011_3 + 199838992/48703777*c_1001_5^10 - 419613456/48703777*c_1001_5^9 - 39454228/48703777*c_1001_5^8 + 1071801694/48703777*c_1001_5^7 - 757805291/48703777*c_1001_5^6 - 1248134921/48703777*c_1001_5^5 + 1887703665/48703777*c_1001_5^4 - 353066748/48703777*c_1001_5^3 - 103245853/48703777*c_1001_5^2 - 91336853/48703777*c_1001_5 + 21627023/48703777, c_0011_8 + 150660184/48703777*c_1001_5^10 - 330910500/48703777*c_1001_5^9 - 36383456/48703777*c_1001_5^8 + 870832091/48703777*c_1001_5^7 - 636972610/48703777*c_1001_5^6 - 1040491695/48703777*c_1001_5^5 + 1605457939/48703777*c_1001_5^4 - 214934265/48703777*c_1001_5^3 - 308792804/48703777*c_1001_5^2 + 20395299/48703777*c_1001_5 + 88825928/48703777, c_0101_0 - 1, c_0101_1 - 102047128/48703777*c_1001_5^10 + 250208980/48703777*c_1001_5^9 - 57761880/48703777*c_1001_5^8 - 545573715/48703777*c_1001_5^7 + 582220548/48703777*c_1001_5^6 + 479571227/48703777*c_1001_5^5 - 1168527227/48703777*c_1001_5^4 + 541304733/48703777*c_1001_5^3 - 64143186/48703777*c_1001_5^2 + 26056313/48703777*c_1001_5 - 33350404/48703777, c_0101_10 + 115130832/48703777*c_1001_5^10 - 275706240/48703777*c_1001_5^9 + 31361108/48703777*c_1001_5^8 + 643181054/48703777*c_1001_5^7 - 612120797/48703777*c_1001_5^6 - 636780543/48703777*c_1001_5^5 + 1304123845/48703777*c_1001_5^4 - 506443938/48703777*c_1001_5^3 - 36895590/48703777*c_1001_5^2 + 20063577/48703777*c_1001_5 - 15552104/48703777, c_0101_11 + 19397688/48703777*c_1001_5^10 - 47089076/48703777*c_1001_5^9 - 18631288/48703777*c_1001_5^8 + 145322859/48703777*c_1001_5^7 - 83552226/48703777*c_1001_5^6 - 211666034/48703777*c_1001_5^5 + 249534449/48703777*c_1001_5^4 + 48018484/48703777*c_1001_5^3 - 111707905/48703777*c_1001_5^2 + 15387184/48703777*c_1001_5 - 33721906/48703777, c_0101_12 + 97138288/48703777*c_1001_5^10 - 256947296/48703777*c_1001_5^9 + 86203260/48703777*c_1001_5^8 + 528267386/48703777*c_1001_5^7 - 638396743/48703777*c_1001_5^6 - 410777027/48703777*c_1001_5^5 + 1199596320/48703777*c_1001_5^4 - 656471483/48703777*c_1001_5^3 + 90199499/48703777*c_1001_5^2 - 33894935/48703777*c_1001_5 + 20594513/48703777, c_0101_2 - 96745360/48703777*c_1001_5^10 + 186961376/48703777*c_1001_5^9 + 61792620/48703777*c_1001_5^8 - 542375110/48703777*c_1001_5^7 + 301370437/48703777*c_1001_5^6 + 730779787/48703777*c_1001_5^5 - 900425573/48703777*c_1001_5^4 - 1426848/48703777*c_1001_5^3 + 254205640/48703777*c_1001_5^2 - 28360703/48703777*c_1001_5 - 34244250/48703777, c_1001_3 - 1, c_1001_5^11 - 5/2*c_1001_5^10 + 1/2*c_1001_5^9 + 45/8*c_1001_5^8 - 47/8*c_1001_5^7 - 21/4*c_1001_5^6 + 97/8*c_1001_5^5 - 5*c_1001_5^4 - 1/2*c_1001_5^3 + 1/4*c_1001_5 - 1/8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.170 Total time: 0.380 seconds, Total memory usage: 32.09MB