Magma V2.19-8 Wed Aug 21 2013 00:54:31 on localhost [Seed = 1259163922] Type ? for help. Type -D to quit. Loading file "L12n352__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n352 geometric_solution 12.48143691 oriented_manifold CS_known 0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 3 0132 0132 0132 0321 0 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 0 -1 -1 0 1 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.338739069141 1.028266559069 0 4 6 5 0132 0132 0132 0132 1 1 1 1 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 1 0 -1 0 0 0 0 0 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.190568060873 0.682104066273 7 0 5 5 0132 0132 2103 2031 0 1 1 1 0 0 -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 -1 0 1 0 0 0 0 -1 0 0 1 4 -3 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.338739069141 1.028266559069 7 0 5 0 3120 0321 2031 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 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 0.710992299042 0.877303450595 7 1 8 9 1023 0132 0132 0132 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 -1 1 0 0 0 0 0 -4 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.645850583381 1.573609856184 2 2 1 3 2103 1302 0132 1302 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 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 0.338739069141 1.028266559069 10 11 7 1 0132 0132 1023 0132 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 -1 0 0 1 -3 0 0 3 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.645850583381 1.573609856184 2 4 6 3 0132 1023 1023 3120 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 0 0 0 0 0 0 0 -4 4 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.190568060873 0.682104066273 10 12 11 4 3120 0132 2103 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 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 0.237243725499 0.550672456782 10 11 4 12 2103 0213 0132 3120 1 1 1 1 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 1 0 -1 4 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.404016522732 0.817408829333 6 12 9 8 0132 1302 2103 3120 1 1 1 1 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 1 0 0 -1 0 0 0 0 3 1 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.404016522732 0.817408829333 8 6 9 12 2103 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 0 0 0 1 0 -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 0.237243725499 0.550672456782 9 8 11 10 3120 0132 0132 2031 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 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.858720286694 1.452241649998 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_1'], 'c_1001_10' : d['c_0011_9'], 'c_1001_12' : d['c_0101_7'], 'c_1001_5' : d['c_0101_7'], 'c_1001_4' : d['c_0101_7'], 'c_1001_7' : d['c_0101_4'], 'c_1001_6' : d['c_0101_7'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0011_5'], 'c_1001_3' : negation(d['c_0110_5']), 'c_1001_2' : d['c_0011_5'], 'c_1001_9' : d['c_1001_1'], 'c_1001_8' : d['c_0011_10'], 'c_1010_12' : d['c_0011_10'], 'c_1010_11' : d['c_0101_7'], 'c_1010_10' : d['c_0011_12'], 's_3_11' : 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_0011_9'], 'c_0101_10' : negation(d['c_0011_3']), 's_2_0' : negation(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' : 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' : d['c_0011_10'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0101_3'], 'c_1100_4' : negation(d['c_0101_12']), 'c_1100_7' : negation(d['c_0101_3']), 'c_1100_6' : d['c_0101_3'], 'c_1100_1' : d['c_0101_3'], 'c_1100_0' : negation(d['c_0110_5']), 'c_1100_3' : negation(d['c_0110_5']), 'c_1100_2' : negation(d['c_0110_5']), 's_0_10' : d['1'], 'c_1100_9' : negation(d['c_0101_12']), 'c_1100_11' : negation(d['c_0011_12']), 'c_1100_10' : negation(d['c_0011_9']), 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_3']), 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : d['c_0110_5'], 'c_1010_4' : d['c_1001_1'], 'c_1010_3' : d['c_0011_5'], 'c_1010_2' : d['c_0011_5'], 'c_1010_1' : d['c_0101_7'], 'c_1010_0' : d['c_0011_5'], 'c_1010_9' : negation(d['c_0011_12']), 'c_1010_8' : d['c_0101_7'], 'c_1100_8' : negation(d['c_0101_12']), 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(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_0011_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' : 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' : d['c_0011_9'], 'c_0011_8' : negation(d['c_0011_12']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_0'], '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_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_12'], 'c_0110_10' : d['c_0101_4'], 'c_0110_12' : d['c_0011_9'], 'c_0101_12' : d['c_0101_12'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_4'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : negation(d['c_0011_3']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_3']), 'c_0101_8' : d['c_0011_9'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_9'], 'c_0110_8' : d['c_0101_4'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_3']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : negation(d['c_0011_3']), 'c_0110_7' : d['c_0101_0'], 'c_0110_6' : negation(d['c_0011_3'])})} 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_5, c_0011_9, c_0101_0, c_0101_12, c_0101_3, c_0101_4, c_0101_7, c_0110_5, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 4112730946827252/112176066833075*c_1001_1^7 + 19881140293096049/64100609618900*c_1001_1^6 - 443502419878812051/448704267332300*c_1001_1^5 + 748819380484854877/448704267332300*c_1001_1^4 - 57664576943989887/32050304809450*c_1001_1^3 + 22159195107765008/16025152404725*c_1001_1^2 - 13590925727823173/17948170693292*c_1001_1 + 103401662470245421/448704267332300, c_0011_0 - 1, c_0011_10 + 3316100628/2669269883*c_1001_1^7 - 2248988788/381324269*c_1001_1^6 + 31078400084/2669269883*c_1001_1^5 - 38055113492/2669269883*c_1001_1^4 + 4482298060/381324269*c_1001_1^3 - 2328828691/381324269*c_1001_1^2 + 6505969108/2669269883*c_1001_1 - 1075098987/2669269883, c_0011_12 + 12365768059/2669269883*c_1001_1^7 - 6775446359/381324269*c_1001_1^6 + 74740522805/2669269883*c_1001_1^5 - 74790158132/2669269883*c_1001_1^4 + 7716600117/381324269*c_1001_1^3 - 4429490955/381324269*c_1001_1^2 + 11862779329/2669269883*c_1001_1 - 3428641444/2669269883, c_0011_3 - 6666803110/2669269883*c_1001_1^7 + 4431785956/381324269*c_1001_1^6 - 62706172614/2669269883*c_1001_1^5 + 79243492476/2669269883*c_1001_1^4 - 9893288394/381324269*c_1001_1^3 + 6568156410/381324269*c_1001_1^2 - 22490965060/2669269883*c_1001_1 + 6898149329/2669269883, c_0011_5 - 1, c_0011_9 - 5759990029/2669269883*c_1001_1^7 + 3439173526/381324269*c_1001_1^6 - 48592464709/2669269883*c_1001_1^5 + 65404049765/2669269883*c_1001_1^4 - 8080620806/381324269*c_1001_1^3 + 5105188263/381324269*c_1001_1^2 - 15605682427/2669269883*c_1001_1 + 5304520331/2669269883, c_0101_0 - 6666803110/2669269883*c_1001_1^7 + 4431785956/381324269*c_1001_1^6 - 62706172614/2669269883*c_1001_1^5 + 79243492476/2669269883*c_1001_1^4 - 9893288394/381324269*c_1001_1^3 + 6568156410/381324269*c_1001_1^2 - 22490965060/2669269883*c_1001_1 + 9567419212/2669269883, c_0101_12 - 3316100628/2669269883*c_1001_1^7 + 2248988788/381324269*c_1001_1^6 - 31078400084/2669269883*c_1001_1^5 + 38055113492/2669269883*c_1001_1^4 - 4482298060/381324269*c_1001_1^3 + 2328828691/381324269*c_1001_1^2 - 6505969108/2669269883*c_1001_1 + 1075098987/2669269883, c_0101_3 + 1, c_0101_4 + c_1001_1, c_0101_7 - 6666803110/2669269883*c_1001_1^7 + 4431785956/381324269*c_1001_1^6 - 62706172614/2669269883*c_1001_1^5 + 79243492476/2669269883*c_1001_1^4 - 9893288394/381324269*c_1001_1^3 + 6568156410/381324269*c_1001_1^2 - 22490965060/2669269883*c_1001_1 + 6898149329/2669269883, c_0110_5 - 1, c_1001_1^8 - 376/73*c_1001_1^7 + 859/73*c_1001_1^6 - 1208/73*c_1001_1^5 + 1175/73*c_1001_1^4 - 847/73*c_1001_1^3 + 454/73*c_1001_1^2 - 176/73*c_1001_1 + 41/73 ], 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_5, c_0011_9, c_0101_0, c_0101_12, c_0101_3, c_0101_4, c_0101_7, c_0110_5, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 1562504465983/874974400*c_1001_1^9 + 468274726129/174994880*c_1001_1^8 + 5360127886877/874974400*c_1001_1^7 + 7612203935487/874974400*c_1001_1^6 + 8652579031689/874974400*c_1001_1^5 + 4510736382377/437487200*c_1001_1^4 + 275627254711/34998976*c_1001_1^3 + 2081615643147/437487200*c_1001_1^2 + 77857079759/34998976*c_1001_1 + 292376996493/874974400, c_0011_0 - 1, c_0011_10 - 731139/546859*c_1001_1^9 - 1224144/546859*c_1001_1^8 - 1891573/546859*c_1001_1^7 - 2845380/546859*c_1001_1^6 - 2351385/546859*c_1001_1^5 - 2765255/546859*c_1001_1^4 - 1845230/546859*c_1001_1^3 - 780005/546859*c_1001_1^2 - 353615/546859*c_1001_1 + 92989/546859, c_0011_12 + 300713/1093718*c_1001_1^9 - 1200021/1093718*c_1001_1^8 - 2792671/1093718*c_1001_1^7 - 3453777/1093718*c_1001_1^6 - 8258167/1093718*c_1001_1^5 - 4071137/546859*c_1001_1^4 - 8909321/1093718*c_1001_1^3 - 3477512/546859*c_1001_1^2 - 3420733/1093718*c_1001_1 - 1227349/1093718, c_0011_3 - 1724706/546859*c_1001_1^9 - 2899821/546859*c_1001_1^8 - 6582420/546859*c_1001_1^7 - 10453691/546859*c_1001_1^6 - 12767748/546859*c_1001_1^5 - 14623353/546859*c_1001_1^4 - 12212455/546859*c_1001_1^3 - 8775328/546859*c_1001_1^2 - 4573446/546859*c_1001_1 - 1278102/546859, c_0011_5 - 1, c_0011_9 + 7270559/2187436*c_1001_1^9 + 7294235/2187436*c_1001_1^8 + 22203601/2187436*c_1001_1^7 + 26192089/2187436*c_1001_1^6 + 29046301/2187436*c_1001_1^5 + 7428250/546859*c_1001_1^4 + 21445533/2187436*c_1001_1^3 + 6546579/1093718*c_1001_1^2 + 6000851/2187436*c_1001_1 + 1383079/2187436, c_0101_0 - 1724706/546859*c_1001_1^9 - 2899821/546859*c_1001_1^8 - 6582420/546859*c_1001_1^7 - 10453691/546859*c_1001_1^6 - 12767748/546859*c_1001_1^5 - 14623353/546859*c_1001_1^4 - 12212455/546859*c_1001_1^3 - 8775328/546859*c_1001_1^2 - 4573446/546859*c_1001_1 - 1824961/546859, c_0101_12 + 731139/546859*c_1001_1^9 + 1224144/546859*c_1001_1^8 + 1891573/546859*c_1001_1^7 + 2845380/546859*c_1001_1^6 + 2351385/546859*c_1001_1^5 + 2765255/546859*c_1001_1^4 + 1845230/546859*c_1001_1^3 + 780005/546859*c_1001_1^2 + 353615/546859*c_1001_1 - 92989/546859, c_0101_3 + 1, c_0101_4 + c_1001_1, c_0101_7 - 1724706/546859*c_1001_1^9 - 2899821/546859*c_1001_1^8 - 6582420/546859*c_1001_1^7 - 10453691/546859*c_1001_1^6 - 12767748/546859*c_1001_1^5 - 14623353/546859*c_1001_1^4 - 12212455/546859*c_1001_1^3 - 8775328/546859*c_1001_1^2 - 4573446/546859*c_1001_1 - 1278102/546859, c_0110_5 + 1, c_1001_1^10 + 40/19*c_1001_1^9 + 86/19*c_1001_1^8 + 136/19*c_1001_1^7 + 172/19*c_1001_1^6 + 187/19*c_1001_1^5 + 165/19*c_1001_1^4 + 117/19*c_1001_1^3 + 65/19*c_1001_1^2 + 24/19*c_1001_1 + 5/19 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.540 Total time: 0.740 seconds, Total memory usage: 32.09MB