Magma V2.19-8 Wed Aug 21 2013 00:57:49 on localhost [Seed = 795424144] Type ? for help. Type -D to quit. Loading file "L13n4515__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n4515 geometric_solution 12.36938611 oriented_manifold CS_known 0.0000000000000000 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 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 0 0 0 0 -1 1 2 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 0.670497489597 0.860697166369 0 5 7 6 0132 0132 0132 0132 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 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.318344820724 0.871177588090 3 0 6 8 0132 0132 2103 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.165295152848 0.941033986072 2 9 10 0 0132 0132 0132 0132 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 0 0 0 -1 0 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 0.782196769560 0.751924325790 5 9 0 6 0132 1023 0132 2103 1 0 1 1 0 0 0 0 1 0 -1 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 -1 0 -1 0 1 0 0 3 0 -3 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.469614275421 0.659018521731 4 1 7 11 0132 0132 3120 0132 1 0 1 1 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 1 2 -3 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 0.823335606145 0.693641807642 2 12 1 4 2103 0132 0132 2103 1 0 1 1 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 -3 0 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 0 0 0 0.675193471992 0.921642969786 11 10 5 1 0132 2103 3120 0132 1 0 1 1 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 1 0 -1 1 0 1 -2 0 0 0 0 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.041837362571 0.644791422174 12 9 2 10 0132 0213 0132 0132 1 0 1 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 0 0 0 0 0 0 0 0 -3 0 3 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.935006552296 0.888054093187 4 3 8 11 1023 0132 0213 3201 1 1 1 1 0 0 0 0 0 0 1 -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 1 0 -1 -1 0 3 -2 -3 0 0 3 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.343053534631 0.607840576935 12 7 8 3 3120 2103 0132 0132 1 0 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 1 -1 0 0 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.201173354974 0.599017001465 7 9 5 12 0132 2310 0132 0132 1 0 1 1 0 -1 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 0 0 0 0 -3 3 0 -1 0 0 1 -2 2 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.705238056764 1.031475649743 8 6 11 10 0132 0132 0132 3120 1 0 1 1 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 3 0 -3 0 0 -1 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 0.683895720452 0.487056262978 ==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' : negation(d['c_0011_11']), 'c_1001_12' : negation(d['c_0110_9']), 'c_1001_5' : negation(d['c_0011_10']), 'c_1001_4' : negation(d['c_0011_12']), 'c_1001_7' : d['c_0011_10'], 'c_1001_6' : negation(d['c_0011_10']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_1001_1']), 'c_1001_2' : negation(d['c_0011_12']), 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : d['c_1001_0'], 'c_1010_12' : negation(d['c_0011_10']), 'c_1010_11' : negation(d['c_0110_9']), 'c_1010_10' : negation(d['c_1001_1']), '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_0101_1'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : negation(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' : negation(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' : negation(d['c_0110_6']), 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0101_10']), 'c_1100_4' : negation(d['c_0110_6']), 'c_1100_7' : negation(d['c_0101_5']), 'c_1100_6' : negation(d['c_0101_5']), 'c_1100_1' : negation(d['c_0101_5']), 'c_1100_0' : negation(d['c_0110_6']), 'c_1100_3' : negation(d['c_0110_6']), 'c_1100_2' : negation(d['c_0110_6']), 's_0_10' : d['1'], 'c_1100_11' : negation(d['c_0101_10']), 'c_1100_10' : negation(d['c_0110_6']), 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_1'], 'c_1010_6' : negation(d['c_0110_9']), 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_0110_9'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0011_10']), 'c_1010_0' : negation(d['c_0011_12']), 'c_1010_9' : negation(d['c_1001_1']), 'c_1010_8' : negation(d['c_0011_11']), 's_3_1' : d['1'], 's_3_0' : negation(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' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : negation(d['c_0101_10']), 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(d['1']), 's_1_3' : negation(d['1']), 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : d['1'], 's_1_9' : negation(d['1']), 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_0']), 'c_0011_8' : negation(d['c_0011_12']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_0']), 'c_0011_7' : negation(d['c_0011_11']), 'c_0110_6' : d['c_0110_6'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_10'], 'c_0110_10' : d['c_0101_3'], 'c_0110_12' : d['c_0101_3'], 'c_0101_12' : d['c_0101_10'], 'c_0110_0' : d['c_0101_1'], 'c_0011_6' : negation(d['c_0011_12']), 'c_0101_7' : d['c_0101_10'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_12']), 'c_0101_8' : d['c_0101_3'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0110_9'], 'c_0110_8' : d['c_0101_10'], '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' : d['c_0101_3'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_5'], 'c_0110_7' : d['c_0101_1'], 'c_0011_10' : d['c_0011_10']})} 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_11, c_0011_12, c_0101_0, c_0101_1, c_0101_10, c_0101_3, c_0101_5, c_0110_6, c_0110_9, c_1001_0, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 210245/15548*c_1001_1^7 - 5966/169*c_1001_1^6 - 149965/15548*c_1001_1^5 + 123284/3887*c_1001_1^4 + 175531/7774*c_1001_1^3 + 166971/15548*c_1001_1^2 + 7621/7774*c_1001_1 + 20139/15548, c_0011_0 - 1, c_0011_10 + 460/169*c_1001_1^7 + 1051/169*c_1001_1^6 - 175/169*c_1001_1^5 - 1691/169*c_1001_1^4 - 657/169*c_1001_1^3 + 717/169*c_1001_1^2 + 677/169*c_1001_1 - 17/169, c_0011_11 + 205/338*c_1001_1^7 + 89/169*c_1001_1^6 - 597/338*c_1001_1^5 - 157/169*c_1001_1^4 + 409/169*c_1001_1^3 + 511/338*c_1001_1^2 - 233/169*c_1001_1 - 281/338, c_0011_12 + 355/338*c_1001_1^7 + 319/169*c_1001_1^6 - 465/338*c_1001_1^5 - 614/169*c_1001_1^4 - 112/169*c_1001_1^3 + 753/338*c_1001_1^2 + 289/169*c_1001_1 - 297/338, c_0101_0 - 1, c_0101_1 + 495/338*c_1001_1^7 + 1427/338*c_1001_1^6 + 119/169*c_1001_1^5 - 1174/169*c_1001_1^4 - 769/169*c_1001_1^3 + 1173/338*c_1001_1^2 + 1373/338*c_1001_1 - 3/169, c_0101_10 + 545/338*c_1001_1^7 + 606/169*c_1001_1^6 - 719/338*c_1001_1^5 - 1322/169*c_1001_1^4 - 102/169*c_1001_1^3 + 1739/338*c_1001_1^2 + 256/169*c_1001_1 - 683/338, c_0101_3 - 35/13*c_1001_1^7 - 187/26*c_1001_1^6 - 17/26*c_1001_1^5 + 138/13*c_1001_1^4 + 61/13*c_1001_1^3 - 62/13*c_1001_1^2 - 85/26*c_1001_1 + 31/26, c_0101_5 + 60/169*c_1001_1^7 - 113/338*c_1001_1^6 - 1301/338*c_1001_1^5 - 519/169*c_1001_1^4 + 683/169*c_1001_1^3 + 869/169*c_1001_1^2 + 167/338*c_1001_1 - 707/338, c_0110_6 - 30/13*c_1001_1^7 - 151/26*c_1001_1^6 - 9/26*c_1001_1^5 + 109/13*c_1001_1^4 + 69/13*c_1001_1^3 - 29/13*c_1001_1^2 - 97/26*c_1001_1 - 5/26, c_0110_9 - 385/169*c_1001_1^7 - 1146/169*c_1001_1^6 - 344/169*c_1001_1^5 + 1520/169*c_1001_1^4 + 1033/169*c_1001_1^3 - 466/169*c_1001_1^2 - 675/169*c_1001_1 - 17/169, c_1001_0 + 140/169*c_1001_1^7 + 464/169*c_1001_1^6 + 118/169*c_1001_1^5 - 834/169*c_1001_1^4 - 417/169*c_1001_1^3 + 550/169*c_1001_1^2 + 275/169*c_1001_1 - 73/169, c_1001_1^8 + 13/5*c_1001_1^7 + 1/5*c_1001_1^6 - 19/5*c_1001_1^5 - 2*c_1001_1^4 + 7/5*c_1001_1^3 + 7/5*c_1001_1^2 - 1/5*c_1001_1 + 1/5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.210 Total time: 0.420 seconds, Total memory usage: 32.09MB