Magma V2.19-8 Wed Aug 21 2013 00:05:06 on localhost [Seed = 3347163579] Type ? for help. Type -D to quit. Loading file "L9a23__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L9a23 geometric_solution 10.95665782 oriented_manifold CS_known -0.0000000000000004 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 1 1 1 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 -1 0 0 0 1 -1 5 -6 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.287185710290 0.950186460862 0 5 7 6 0132 0132 0132 0132 0 1 1 1 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 -1 -1 2 0 0 0 0 -1 0 0 1 -5 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.149078537497 0.752376937055 8 0 4 4 0132 0132 2103 0321 1 1 1 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 1 0 0 0 1 -1 0 1 0 -1 -6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.963453941022 1.431028860411 9 10 11 0 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 -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 0.149078537497 0.752376937055 2 2 0 8 2103 0321 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 1 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 0.963453941022 1.431028860411 10 1 9 9 0213 0132 0213 0132 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 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 0.925428716898 0.884257346967 10 7 1 11 3201 0132 0132 3120 0 1 1 1 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 1 -2 1 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 0.094697068021 1.122906494968 8 6 11 1 3120 0132 3120 0132 0 1 1 1 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 -1 0 1 0 0 0 0 6 -1 0 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.365396200907 0.959462488295 2 10 4 7 0132 0213 0132 3120 1 1 1 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 6 0 0 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.287185710290 0.950186460862 3 5 5 11 0132 0213 0132 3201 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 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 0.094697068021 1.122906494968 5 3 8 6 0213 0132 0213 2310 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 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 -0.365396200907 0.959462488295 6 9 7 3 3120 2310 3120 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 1 -1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.925428716898 0.884257346967 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_11'], 'c_1001_10' : d['c_1001_0'], 'c_1001_5' : d['c_1001_1'], 'c_1001_4' : d['c_0011_4'], 'c_1001_7' : negation(d['c_0011_11']), 'c_1001_6' : d['c_1001_1'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0101_3']), 'c_1001_2' : d['c_0011_4'], 'c_1001_9' : d['c_1001_1'], 'c_1001_8' : d['c_1001_0'], 'c_1010_11' : negation(d['c_0101_3']), 'c_1010_10' : negation(d['c_0101_3']), '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' : d['c_0011_0'], '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_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_0011_11']), 'c_1100_4' : negation(d['c_0101_7']), 'c_1100_7' : negation(d['c_0101_11']), 'c_1100_6' : negation(d['c_0101_11']), 'c_1100_1' : negation(d['c_0101_11']), 'c_1100_0' : negation(d['c_0101_7']), 'c_1100_3' : negation(d['c_0101_7']), 'c_1100_2' : d['c_0011_4'], 's_0_10' : d['1'], 'c_1100_11' : negation(d['c_0101_7']), 'c_1100_10' : d['c_0011_6'], 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_1'], 'c_1010_6' : negation(d['c_0011_11']), 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_1001_0'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_1'], 'c_1010_0' : d['c_0011_4'], 'c_1010_9' : negation(d['c_0011_11']), 'c_1010_8' : d['c_0011_6'], 'c_1100_8' : negation(d['c_0101_7']), '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' : d['c_0011_10'], 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_6']), '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' : d['c_0101_3'], 'c_0110_10' : negation(d['c_0101_0']), 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0011_10'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0101_8' : negation(d['c_0011_4']), 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_3'], 'c_0110_8' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0011_11']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_4']), 'c_0110_5' : d['c_0101_0'], 'c_0110_4' : negation(d['c_0011_4']), 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0101_3']})} 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_4, c_0011_6, c_0101_0, c_0101_1, c_0101_11, c_0101_3, c_0101_7, c_1001_0, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 472079056/6050601*c_1001_0^11 + 1258752290/6050601*c_1001_0^10 - 1873602578/6050601*c_1001_0^9 + 1961892394/6050601*c_1001_0^8 - 2668735393/6050601*c_1001_0^7 + 120114914/672289*c_1001_0^6 - 1008833954/6050601*c_1001_0^5 + 34941800/6050601*c_1001_0^4 - 9754110/672289*c_1001_0^3 - 955962448/6050601*c_1001_0^2 + 5295177/672289*c_1001_0 - 266737802/6050601, c_0011_0 - 1, c_0011_10 + 7569184/672289*c_1001_0^11 - 10431716/672289*c_1001_0^10 + 20935770/672289*c_1001_0^9 - 25148353/672289*c_1001_0^8 + 40975162/672289*c_1001_0^7 - 2447505/672289*c_1001_0^6 + 61516541/672289*c_1001_0^5 + 26426215/672289*c_1001_0^4 + 42575517/672289*c_1001_0^3 + 16165248/672289*c_1001_0^2 + 9567652/672289*c_1001_0 + 2288554/672289, c_0011_11 - 8235768/672289*c_1001_0^11 + 10337027/672289*c_1001_0^10 - 20648898/672289*c_1001_0^9 + 23149984/672289*c_1001_0^8 - 38639189/672289*c_1001_0^7 - 6694375/672289*c_1001_0^6 - 60488682/672289*c_1001_0^5 - 40788982/672289*c_1001_0^4 - 42145330/672289*c_1001_0^3 - 25796256/672289*c_1001_0^2 - 8872392/672289*c_1001_0 - 4877138/672289, c_0011_4 - 50096/672289*c_1001_0^11 + 602150/672289*c_1001_0^10 - 1677297/672289*c_1001_0^9 + 2500445/672289*c_1001_0^8 - 3091512/672289*c_1001_0^7 + 4236119/672289*c_1001_0^6 - 3624292/672289*c_1001_0^5 + 2741220/672289*c_1001_0^4 - 2905117/672289*c_1001_0^3 + 773996/672289*c_1001_0^2 - 350898/672289*c_1001_0 + 425860/672289, c_0011_6 + 666584/672289*c_1001_0^11 + 94689/672289*c_1001_0^10 - 286872/672289*c_1001_0^9 + 1998369/672289*c_1001_0^8 - 2335973/672289*c_1001_0^7 + 9141880/672289*c_1001_0^6 - 1027859/672289*c_1001_0^5 + 14362767/672289*c_1001_0^4 - 430187/672289*c_1001_0^3 + 9631008/672289*c_1001_0^2 - 695260/672289*c_1001_0 + 2588584/672289, c_0101_0 - 666584/672289*c_1001_0^11 - 94689/672289*c_1001_0^10 + 286872/672289*c_1001_0^9 - 1998369/672289*c_1001_0^8 + 2335973/672289*c_1001_0^7 - 9141880/672289*c_1001_0^6 + 1027859/672289*c_1001_0^5 - 14362767/672289*c_1001_0^4 + 430187/672289*c_1001_0^3 - 9631008/672289*c_1001_0^2 + 695260/672289*c_1001_0 - 2588584/672289, c_0101_1 + c_1001_0, c_0101_11 + 666584/672289*c_1001_0^11 + 94689/672289*c_1001_0^10 - 286872/672289*c_1001_0^9 + 1998369/672289*c_1001_0^8 - 2335973/672289*c_1001_0^7 + 9141880/672289*c_1001_0^6 - 1027859/672289*c_1001_0^5 + 14362767/672289*c_1001_0^4 - 430187/672289*c_1001_0^3 + 9631008/672289*c_1001_0^2 - 22971/672289*c_1001_0 + 2588584/672289, c_0101_3 + 3456976/672289*c_1001_0^11 - 609730/672289*c_1001_0^10 + 3055170/672289*c_1001_0^9 - 205454/672289*c_1001_0^8 + 5186272/672289*c_1001_0^7 + 20498755/672289*c_1001_0^6 + 26307750/672289*c_1001_0^5 + 40647957/672289*c_1001_0^4 + 26754953/672289*c_1001_0^3 + 23516435/672289*c_1001_0^2 + 6904972/672289*c_1001_0 + 3741850/672289, c_0101_7 - 1, c_1001_0^12 - 13/8*c_1001_0^11 + 7/2*c_1001_0^10 - 19/4*c_1001_0^9 + 31/4*c_1001_0^8 - 15/4*c_1001_0^7 + 91/8*c_1001_0^6 - 1/8*c_1001_0^5 + 69/8*c_1001_0^4 + 5/8*c_1001_0^3 + 3*c_1001_0^2 + 1/8*c_1001_0 + 3/8, c_1001_1 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.250 seconds, Total memory usage: 32.09MB