Magma V2.19-8 Wed Aug 21 2013 01:05:02 on localhost [Seed = 2513669619] Type ? for help. Type -D to quit. Loading file "L14n24993__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n24993 geometric_solution 11.64785529 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 0 1 1 1 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 -3 2 1 0 0 -1 1 0 0 0 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.511019187213 0.250854341262 0 2 6 5 0132 0213 0132 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 3 0 -3 0 0 0 0 -3 0 0 3 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.792013906789 0.847944609950 7 0 1 8 0132 0132 0213 0132 0 1 1 1 0 -1 1 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 0 0 0 0 0 3 -3 0 4 0 0 -4 -3 3 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.767859658841 0.600617015121 7 9 10 0 2310 0132 0132 0132 0 1 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 2 0 -2 -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 -0.205440966294 1.258263490999 11 9 0 5 0132 0321 0132 0213 0 1 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 -2 -1 3 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 0.386959768477 1.038668859214 8 10 1 4 0321 0213 0132 0213 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 0 3 -3 0 0 0 0 1 0 0 -1 4 -1 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.739999595242 0.753754806738 11 8 10 1 3120 0321 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 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 0.481487672376 0.826120136880 2 11 3 12 0132 2103 3201 0132 1 1 1 1 0 0 0 0 1 0 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 -4 0 0 4 -1 0 0 1 3 -4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.191981052894 1.118882156647 5 9 2 6 0321 0213 0132 0321 0 1 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 0 0 0 -4 0 4 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 0.182301326038 0.770080442988 12 3 8 4 3201 0132 0213 0321 0 1 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 -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 0 0 0.704187092856 0.862287951780 12 6 5 3 1023 0213 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 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 -0.069922629511 0.988679483060 4 7 12 6 0132 2103 3201 3120 1 1 1 1 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 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.319677117069 1.553083852034 11 10 7 9 2310 1023 0132 2310 1 1 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 0 0 0 4 0 -4 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 -0.396427039202 0.477500464124 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_0'], 'c_1001_10' : d['c_1001_10'], 'c_1001_12' : d['c_0011_5'], 'c_1001_5' : d['c_1001_10'], 'c_1001_4' : d['c_1001_1'], 'c_1001_7' : d['c_0011_11'], 'c_1001_6' : d['c_1001_10'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_1001_1'], 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : d['c_1001_0'], 'c_1010_12' : negation(d['c_0011_11']), 'c_1010_11' : negation(d['c_0011_5']), 'c_1010_10' : d['c_1001_3'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : negation(d['1']), 's_3_12' : d['1'], 's_2_8' : d['1'], 'c_0101_12' : negation(d['c_0011_0']), 'c_0101_11' : d['c_0011_8'], 'c_0101_10' : d['c_0011_5'], 's_2_0' : 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' : negation(d['1']), 's_2_10' : d['1'], 's_2_11' : negation(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' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : d['c_1001_1'], 'c_1100_8' : d['c_1001_10'], 'c_0011_12' : d['c_0011_10'], 'c_1100_5' : d['c_1001_3'], 'c_1100_4' : d['c_1010_5'], 'c_1100_7' : negation(d['c_0011_3']), 'c_1100_6' : d['c_1001_3'], 'c_1100_1' : d['c_1001_3'], 'c_1100_0' : d['c_1010_5'], 'c_1100_3' : d['c_1010_5'], 'c_1100_2' : d['c_1001_10'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0011_10']), 'c_1100_10' : d['c_1010_5'], 's_0_11' : negation(d['1']), 'c_1010_7' : d['c_0011_5'], 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : d['c_1010_5'], 'c_1010_4' : d['c_1001_3'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_10'], 'c_1010_0' : d['c_1001_1'], 'c_1010_9' : d['c_1001_3'], 'c_1010_8' : d['c_1001_1'], 's_3_1' : d['1'], 's_3_0' : negation(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' : 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_3']), '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' : negation(d['c_0011_3']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_11']), 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : d['c_0011_5'], '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_1'], 'c_0110_10' : negation(d['c_0011_11']), 'c_0110_12' : negation(d['c_0011_8']), 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : negation(d['c_0101_0']), 'c_0101_6' : d['c_0011_10'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_11']), 'c_0101_2' : negation(d['c_0011_0']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_8'], 'c_0101_8' : negation(d['c_0101_0']), 'c_0011_10' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_11'], 'c_0110_8' : negation(d['c_0011_5']), '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_0101_0']), 'c_0110_5' : negation(d['c_0011_8']), 'c_0110_4' : d['c_0011_8'], 'c_0110_7' : negation(d['c_0011_0']), 'c_0110_6' : d['c_0101_1'], 's_2_9' : d['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_11, c_0011_3, c_0011_5, c_0011_8, c_0101_0, c_0101_1, c_1001_0, c_1001_1, c_1001_10, c_1001_3, c_1010_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 302330053/266862685*c_1010_5^9 + 13505806347/1334313425*c_1010_5^8 + 2446559530/53372537*c_1010_5^7 + 96533157477/1334313425*c_1010_5^6 + 5012708826/78489025*c_1010_5^5 + 8974326031/266862685*c_1010_5^4 + 1711505637/78489025*c_1010_5^3 + 452821886/25175725*c_1010_5^2 + 11312382509/1334313425*c_1010_5 + 900932543/1334313425, c_0011_0 - 1, c_0011_10 - 4324/296185*c_1010_5^9 - 172038/296185*c_1010_5^8 - 1257518/296185*c_1010_5^7 - 959445/59237*c_1010_5^6 - 5135776/296185*c_1010_5^5 - 3911533/296185*c_1010_5^4 - 893858/296185*c_1010_5^3 - 1309643/296185*c_1010_5^2 - 167820/59237*c_1010_5 - 59767/59237, c_0011_11 + 99927/296185*c_1010_5^9 + 932191/296185*c_1010_5^8 + 4505784/296185*c_1010_5^7 + 8903364/296185*c_1010_5^6 + 2425302/59237*c_1010_5^5 + 10154473/296185*c_1010_5^4 + 1383309/59237*c_1010_5^3 + 4010116/296185*c_1010_5^2 + 533405/59237*c_1010_5 + 282815/59237, c_0011_3 + 430704/296185*c_1010_5^9 + 4026368/296185*c_1010_5^8 + 19304888/296185*c_1010_5^7 + 7418480/59237*c_1010_5^6 + 45748856/296185*c_1010_5^5 + 34812193/296185*c_1010_5^4 + 21886693/296185*c_1010_5^3 + 12947098/296185*c_1010_5^2 + 1698254/59237*c_1010_5 + 642477/59237, c_0011_5 + 152422/296185*c_1010_5^9 + 276186/59237*c_1010_5^8 + 6492564/296185*c_1010_5^7 + 11746502/296185*c_1010_5^6 + 14914934/296185*c_1010_5^5 + 10676246/296185*c_1010_5^4 + 7037902/296185*c_1010_5^3 + 749171/59237*c_1010_5^2 + 538662/59237*c_1010_5 + 164227/59237, c_0011_8 - 76013/296185*c_1010_5^9 - 946496/296185*c_1010_5^8 - 5527766/296185*c_1010_5^7 - 3244721/59237*c_1010_5^6 - 23802682/296185*c_1010_5^5 - 20851856/296185*c_1010_5^4 - 12291401/296185*c_1010_5^3 - 7260241/296185*c_1010_5^2 - 1076662/59237*c_1010_5 - 438525/59237, c_0101_0 - 68836/296185*c_1010_5^9 - 659001/296185*c_1010_5^8 - 3190787/296185*c_1010_5^7 - 6290883/296185*c_1010_5^6 - 7187153/296185*c_1010_5^5 - 1034180/59237*c_1010_5^4 - 2487109/296185*c_1010_5^3 - 2030426/296185*c_1010_5^2 - 271611/59237*c_1010_5 - 125103/59237, c_0101_1 - 117184/296185*c_1010_5^9 - 1023654/296185*c_1010_5^8 - 4618008/296185*c_1010_5^7 - 7233177/296185*c_1010_5^6 - 8001962/296185*c_1010_5^5 - 1045412/59237*c_1010_5^4 - 3398956/296185*c_1010_5^3 - 1860924/296185*c_1010_5^2 - 142166/59237*c_1010_5 - 28885/59237, c_1001_0 - 1, c_1001_1 + 9132/296185*c_1010_5^9 + 99972/296185*c_1010_5^8 + 558114/296185*c_1010_5^7 + 1511806/296185*c_1010_5^6 + 2423036/296185*c_1010_5^5 + 372452/59237*c_1010_5^4 + 1333593/296185*c_1010_5^3 + 494707/296185*c_1010_5^2 + 93201/59237*c_1010_5 + 11805/59237, c_1001_10 + 117184/296185*c_1010_5^9 + 1023654/296185*c_1010_5^8 + 4618008/296185*c_1010_5^7 + 7233177/296185*c_1010_5^6 + 8001962/296185*c_1010_5^5 + 1045412/59237*c_1010_5^4 + 3398956/296185*c_1010_5^3 + 1860924/296185*c_1010_5^2 + 201403/59237*c_1010_5 + 88122/59237, c_1001_3 - 48786/296185*c_1010_5^9 - 527076/296185*c_1010_5^8 - 2752767/296185*c_1010_5^7 - 6528283/296185*c_1010_5^6 - 7480178/296185*c_1010_5^5 - 1161449/59237*c_1010_5^4 - 3267644/296185*c_1010_5^3 - 2602986/296185*c_1010_5^2 - 306926/59237*c_1010_5 - 90972/59237, c_1010_5^10 + 10*c_1010_5^9 + 51*c_1010_5^8 + 116*c_1010_5^7 + 165*c_1010_5^6 + 152*c_1010_5^5 + 104*c_1010_5^4 + 62*c_1010_5^3 + 39*c_1010_5^2 + 20*c_1010_5 + 5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.130 Total time: 0.340 seconds, Total memory usage: 32.09MB