Magma V2.19-8 Tue Aug 20 2013 16:16:09 on localhost [Seed = 4004475438] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0405 geometric_solution 4.46720470 oriented_manifold CS_known -0.0000000000000007 1 0 torus 0.000000000000 0.000000000000 7 1 2 1 2 0132 0132 2310 2310 0 0 0 0 0 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 -1 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 0 0 0 -3.921030514844 2.022903998820 0 0 3 3 0132 3201 3201 0132 0 0 0 0 0 -1 0 1 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 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 0.288442841284 0.222635946643 0 0 2 2 3201 0132 1230 3012 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 1 0 -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 0.134882373809 0.041022882395 1 4 1 5 2310 0132 0132 0132 0 0 0 0 0 1 -1 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 1 -1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.968801889820 0.786308436816 6 3 5 5 0132 0132 3012 1230 0 0 0 0 0 -1 1 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 1 -1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.240034413255 1.153079694953 4 4 3 6 3012 1230 0132 0132 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.240034413255 1.153079694953 4 6 5 6 0132 1302 0132 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.398484325790 0.604611830903 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : negation(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' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : negation(d['1']), 's_2_5' : negation(d['1']), 's_2_6' : d['1'], 's_1_6' : d['1'], 's_1_5' : negation(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_0_6' : 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_6' : negation(d['c_0011_3']), 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : d['c_0011_5'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_3']), 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : d['c_0110_2'], 'c_0101_6' : d['c_0011_5'], 'c_0101_5' : negation(d['c_0101_1']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : negation(d['c_0101_1']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_3']), 'c_0011_6' : d['c_0011_3'], '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_1001_5' : negation(d['c_0011_5']), 'c_1001_4' : negation(d['c_0011_5']), 'c_1001_6' : d['c_0101_4'], 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0101_1']), 'c_1001_2' : negation(d['c_0110_2']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_1']), 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : d['c_0011_5'], 'c_0110_4' : d['c_0011_5'], 'c_0110_6' : d['c_0101_4'], 'c_1010_6' : d['c_0011_3'], 'c_1010_5' : d['c_0101_4'], 'c_1010_4' : negation(d['c_0101_1']), 'c_1010_3' : negation(d['c_0011_5']), 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : negation(d['c_0110_2'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_5, c_0101_0, c_0101_1, c_0101_4, c_0110_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 32 Groebner basis: [ t - 16861005/116*c_0110_2^15 + 40653973/116*c_0110_2^14 + 219331795/116*c_0110_2^13 + 486042971/58*c_0110_2^12 + 254197604/29*c_0110_2^11 - 1604994508/29*c_0110_2^10 - 3080552361/58*c_0110_2^9 + 11079238263/116*c_0110_2^8 + 12639445033/116*c_0110_2^7 - 195403419/4*c_0110_2^6 - 2792785792/29*c_0110_2^5 - 520805074/29*c_0110_2^4 + 1540167231/58*c_0110_2^3 + 500863362/29*c_0110_2^2 + 474384531/116*c_0110_2 + 41018765/116, c_0011_0 - 1, c_0011_3 + 12*c_0110_2^15 - 25*c_0110_2^14 - 166*c_0110_2^13 - 742*c_0110_2^12 - 945*c_0110_2^11 + 4356*c_0110_2^10 + 5908*c_0110_2^9 - 6606*c_0110_2^8 - 11733*c_0110_2^7 + 1356*c_0110_2^6 + 9584*c_0110_2^5 + 3951*c_0110_2^4 - 1980*c_0110_2^3 - 2196*c_0110_2^2 - 729*c_0110_2 - 90, c_0011_5 + 77*c_0110_2^15 - 165*c_0110_2^14 - 1055*c_0110_2^13 - 4699*c_0110_2^12 - 5789*c_0110_2^11 + 28273*c_0110_2^10 + 36194*c_0110_2^9 - 44425*c_0110_2^8 - 72441*c_0110_2^7 + 12869*c_0110_2^6 + 60349*c_0110_2^5 + 21709*c_0110_2^4 - 13719*c_0110_2^3 - 13090*c_0110_2^2 - 3927*c_0110_2 - 428, c_0101_0 - c_0110_2^15 + 2*c_0110_2^14 + 14*c_0110_2^13 + 63*c_0110_2^12 + 84*c_0110_2^11 - 356*c_0110_2^10 - 522*c_0110_2^9 + 507*c_0110_2^8 + 1020*c_0110_2^7 - 28*c_0110_2^6 - 801*c_0110_2^5 - 396*c_0110_2^4 + 132*c_0110_2^3 + 194*c_0110_2^2 + 78*c_0110_2 + 13, c_0101_1 + 11187/2*c_0101_4*c_0110_2^15 - 13419*c_0101_4*c_0110_2^14 - 145917/2*c_0101_4*c_0110_2^13 - 323266*c_0101_4*c_0110_2^12 - 681621/2*c_0101_4*c_0110_2^11 + 4255005/2*c_0101_4*c_0110_2^10 + 2071034*c_0101_4*c_0110_2^9 - 7327857/2*c_0101_4*c_0110_2^8 - 8488373/2*c_0101_4*c_0110_2^7 + 1853148*c_0101_4*c_0110_2^6 + 3742704*c_0101_4*c_0110_2^5 + 1439015/2*c_0101_4*c_0110_2^4 - 1027214*c_0101_4*c_0110_2^3 - 1350001/2*c_0101_4*c_0110_2^2 - 321461/2*c_0101_4*c_0110_2 - 27917/2*c_0101_4, c_0101_4^2 + 1483*c_0110_2^15 - 3295*c_0110_2^14 - 20040*c_0110_2^13 - 88961*c_0110_2^12 - 104720*c_0110_2^11 + 551690*c_0110_2^10 + 652242*c_0110_2^9 - 900058*c_0110_2^8 - 1316093*c_0110_2^7 + 339792*c_0110_2^6 + 1118983*c_0110_2^5 + 335224*c_0110_2^4 - 276076*c_0110_2^3 - 226913*c_0110_2^2 - 61971*c_0110_2 - 6123, c_0110_2^16 - 2*c_0110_2^15 - 14*c_0110_2^14 - 63*c_0110_2^13 - 84*c_0110_2^12 + 356*c_0110_2^11 + 522*c_0110_2^10 - 507*c_0110_2^9 - 1020*c_0110_2^8 + 28*c_0110_2^7 + 801*c_0110_2^6 + 396*c_0110_2^5 - 132*c_0110_2^4 - 194*c_0110_2^3 - 77*c_0110_2^2 - 14*c_0110_2 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB