Magma V2.19-8 Tue Aug 20 2013 16:14:21 on localhost [Seed = 1966401876] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s337 geometric_solution 4.53087234 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 6 0 0 1 1 1230 3012 0132 2310 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 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 1.669007856131 0.280407763570 0 2 2 0 3201 0132 1023 0132 0 0 0 0 0 0 1 -1 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 1 -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 1.170791188163 0.696084722407 3 1 1 4 0132 0132 1023 0132 0 0 0 0 0 0 0 0 1 0 -1 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 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 0.333783384998 0.284200575610 2 5 4 4 0132 0132 1302 3201 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 -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 0.248985384209 0.841275709691 3 3 2 5 2031 2310 0132 2310 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.248985384209 0.841275709691 4 3 5 5 3201 0132 2031 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.039023283860 1.885624678836 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : d['1'], '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_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_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_5' : d['c_0101_5'], 'c_1100_4' : negation(d['c_0011_1']), 'c_1100_1' : d['c_0011_1'], 'c_1100_0' : d['c_0011_1'], 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : negation(d['c_0011_1']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_4']), 'c_0101_3' : negation(d['c_0011_4']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_1']), 'c_0011_4' : d['c_0011_4'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_1'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : negation(d['c_0101_2']), 'c_1001_4' : d['c_0101_2'], 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0101_5']), 'c_1001_2' : negation(d['c_0011_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_2'], 'c_0110_2' : negation(d['c_0011_4']), 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : negation(d['c_0101_5']), 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : negation(d['c_0101_2']), 'c_1010_3' : negation(d['c_0101_2']), 'c_1010_2' : d['c_0101_2'], 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(d['c_0101_0'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_4, c_0101_0, c_0101_2, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t - 115141872857445/8427460225712*c_0101_5^14 - 62102356167878/526716264107*c_0101_5^13 + 178038629731161/1053432528214*c_0101_5^12 + 12522261275131017/8427460225712*c_0101_5^11 - 148202112185290/47883296737*c_0101_5^10 - 16244400790474519/8427460225712*c_0101_5^9 + 2013618990688651/191533186948*c_0101_5^8 - 15978912906427965/2106865056428*c_0101_5^7 - 30014743584263865/4213730112856*c_0101_5^6 + 11914837969837423/1053432528214*c_0101_5^5 - 498415451650779/2106865056428*c_0101_5^4 - 9071944088213813/2106865056428*c_0101_5^3 + 2597868509412155/4213730112856*c_0101_5^2 + 1843519344619861/8427460225712*c_0101_5 - 884132494493379/8427460225712, c_0011_0 - 1, c_0011_1 - 3517334169109/1053432528214*c_0101_5^14 - 35943924877715/1053432528214*c_0101_5^13 - 15540917910231/1053432528214*c_0101_5^12 + 337712125183971/1053432528214*c_0101_5^11 - 24883289582883/95766593474*c_0101_5^10 - 751694778183843/1053432528214*c_0101_5^9 + 127883074095815/95766593474*c_0101_5^8 - 70204750911358/526716264107*c_0101_5^7 - 703404585466118/526716264107*c_0101_5^6 + 735765939461503/1053432528214*c_0101_5^5 + 205113226902410/526716264107*c_0101_5^4 - 244746399960053/1053432528214*c_0101_5^3 + 4780828073475/1053432528214*c_0101_5^2 + 8855560107655/526716264107*c_0101_5 - 1218604144001/526716264107, c_0011_4 - 137324059251/1053432528214*c_0101_5^14 - 1394669995959/1053432528214*c_0101_5^13 - 252865532564/526716264107*c_0101_5^12 + 6693205648664/526716264107*c_0101_5^11 - 504342188724/47883296737*c_0101_5^10 - 14802176845243/526716264107*c_0101_5^9 + 2479623366881/47883296737*c_0101_5^8 - 4624502013413/1053432528214*c_0101_5^7 - 52349817371309/1053432528214*c_0101_5^6 + 22156395112265/1053432528214*c_0101_5^5 + 9207877789533/526716264107*c_0101_5^4 - 1868676302963/526716264107*c_0101_5^3 - 3326061742991/1053432528214*c_0101_5^2 - 535522056183/1053432528214*c_0101_5 + 493288623059/1053432528214, c_0101_0 + 1477690792473/526716264107*c_0101_5^14 + 29036522739495/1053432528214*c_0101_5^13 + 851743299633/1053432528214*c_0101_5^12 - 292085339732511/1053432528214*c_0101_5^11 + 30873973532259/95766593474*c_0101_5^10 + 569346353968123/1053432528214*c_0101_5^9 - 131553674024743/95766593474*c_0101_5^8 + 515858221887759/1053432528214*c_0101_5^7 + 619156259621423/526716264107*c_0101_5^6 - 535584880835935/526716264107*c_0101_5^5 - 215359603940237/1053432528214*c_0101_5^4 + 186546336244471/526716264107*c_0101_5^3 - 42832846158557/1053432528214*c_0101_5^2 - 21201418139993/1053432528214*c_0101_5 + 2499200149346/526716264107, c_0101_2 - 2597667630275/1053432528214*c_0101_5^14 - 13432596644396/526716264107*c_0101_5^13 - 14890261904775/1053432528214*c_0101_5^12 + 246463138238431/1053432528214*c_0101_5^11 - 15666409799885/95766593474*c_0101_5^10 - 565908262974861/1053432528214*c_0101_5^9 + 87334868693283/95766593474*c_0101_5^8 - 4300418026939/526716264107*c_0101_5^7 - 996605898742401/1053432528214*c_0101_5^6 + 415588583512511/1053432528214*c_0101_5^5 + 312563876196633/1053432528214*c_0101_5^4 - 59626035944273/526716264107*c_0101_5^3 - 311824224223/526716264107*c_0101_5^2 + 3371446955790/526716264107*c_0101_5 - 862382430751/1053432528214, c_0101_5^15 + 9*c_0101_5^14 - 8*c_0101_5^13 - 101*c_0101_5^12 + 195*c_0101_5^11 + 115*c_0101_5^10 - 657*c_0101_5^9 + 536*c_0101_5^8 + 334*c_0101_5^7 - 694*c_0101_5^6 + 156*c_0101_5^5 + 200*c_0101_5^4 - 90*c_0101_5^3 + c_0101_5^2 + 6*c_0101_5 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB