Magma V2.19-8 Tue Aug 20 2013 16:19:10 on localhost [Seed = 1427425324] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3295 geometric_solution 6.42391206 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 1 0132 0132 0132 0321 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 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 0.492538533022 0.518582290661 0 0 2 4 0132 0321 1302 0132 0 0 0 0 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 1 -2 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 1.665158889469 1.305393246953 1 0 3 5 2031 0132 3120 0132 0 0 0 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 2 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 0.318165102496 0.899743427272 6 4 2 0 0132 3120 3120 0132 0 0 0 0 0 0 1 -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 0 1 -1 0 0 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 0.812040253283 0.760637103391 5 3 1 5 1230 3120 0132 3120 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.356187629433 0.575124850074 4 4 2 6 3120 3012 0132 0321 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.364083107136 0.527834543411 3 5 6 6 0132 0321 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 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 0.424126214994 0.601128658284 ==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' : negation(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_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_0_6' : d['1'], 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : d['c_0101_0'], 'c_1100_5' : negation(d['c_0101_3']), 'c_1100_4' : d['c_0101_2'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0101_2'], 'c_1100_0' : negation(d['c_0101_2']), 'c_1100_3' : negation(d['c_0101_2']), 'c_1100_2' : negation(d['c_0101_3']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0101_2']), 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_0'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_3'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(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_4']), 'c_1001_4' : d['c_1001_2'], 'c_1001_6' : negation(d['c_0101_3']), 'c_1001_1' : negation(d['c_0101_2']), 'c_1001_0' : negation(d['c_0011_4']), 'c_1001_3' : negation(d['c_1001_2']), 'c_1001_2' : d['c_1001_2'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_2']), 'c_0110_5' : d['c_0011_3'], 'c_0110_4' : d['c_0011_3'], 'c_0110_6' : d['c_0101_3'], 'c_1010_6' : negation(d['c_0101_0']), 'c_1010_5' : negation(d['c_0101_0']), 'c_1010_4' : negation(d['c_0011_3']), 'c_1010_3' : negation(d['c_0011_4']), 'c_1010_2' : negation(d['c_0011_4']), 'c_1010_1' : d['c_1001_2'], 'c_1010_0' : d['c_1001_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_4, c_0101_0, c_0101_2, c_0101_3, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t - 2706963746343/200711165380*c_1001_2^14 + 1192597623007/100355582690*c_1001_2^13 + 6762407578152/50177791345*c_1001_2^12 + 4199012260403/50177791345*c_1001_2^11 - 43558335796137/100355582690*c_1001_2^10 - 49571340976527/200711165380*c_1001_2^9 + 8345730457313/20071116538*c_1001_2^8 - 4260618948669/50177791345*c_1001_2^7 + 8244574475704/50177791345*c_1001_2^6 + 3871218419455/20071116538*c_1001_2^5 - 36947213574933/200711165380*c_1001_2^4 + 55223311106903/100355582690*c_1001_2^3 - 4316778307271/50177791345*c_1001_2^2 - 24539014517227/50177791345*c_1001_2 - 27424296117787/200711165380, c_0011_0 - 1, c_0011_3 + 195322955/912323479*c_1001_2^14 - 24692699/912323479*c_1001_2^13 - 1893878099/912323479*c_1001_2^12 - 2655231916/912323479*c_1001_2^11 + 3695594966/912323479*c_1001_2^10 + 5186239697/912323479*c_1001_2^9 - 1835382681/912323479*c_1001_2^8 + 942829493/912323479*c_1001_2^7 + 492987841/912323479*c_1001_2^6 - 1988749127/912323479*c_1001_2^5 + 1693602914/912323479*c_1001_2^4 - 4912716863/912323479*c_1001_2^3 - 4753984460/912323479*c_1001_2^2 + 4012589055/912323479*c_1001_2 + 1146927382/912323479, c_0011_4 - 1109580672/912323479*c_1001_2^14 + 594912864/912323479*c_1001_2^13 + 11301180636/912323479*c_1001_2^12 + 10377369914/912323479*c_1001_2^11 - 32012522275/912323479*c_1001_2^10 - 27815663826/912323479*c_1001_2^9 + 29005366783/912323479*c_1001_2^8 - 4109165450/912323479*c_1001_2^7 + 6269261260/912323479*c_1001_2^6 + 20479710992/912323479*c_1001_2^5 - 15134260054/912323479*c_1001_2^4 + 41816650846/912323479*c_1001_2^3 + 7039183563/912323479*c_1001_2^2 - 38505851303/912323479*c_1001_2 - 13152768510/912323479, c_0101_0 + 400992995/912323479*c_1001_2^14 - 147508556/912323479*c_1001_2^13 - 3923135829/912323479*c_1001_2^12 - 4503756618/912323479*c_1001_2^11 + 9205107801/912323479*c_1001_2^10 + 9622507602/912323479*c_1001_2^9 - 6080947934/912323479*c_1001_2^8 + 2496849989/912323479*c_1001_2^7 - 1660092454/912323479*c_1001_2^6 - 4249981380/912323479*c_1001_2^5 + 3074708579/912323479*c_1001_2^4 - 12797119076/912323479*c_1001_2^3 - 4818613244/912323479*c_1001_2^2 + 8542548027/912323479*c_1001_2 + 4168248602/912323479, c_0101_2 - 455103238/912323479*c_1001_2^14 + 280713990/912323479*c_1001_2^13 + 4792459043/912323479*c_1001_2^12 + 3943750910/912323479*c_1001_2^11 - 15172140763/912323479*c_1001_2^10 - 13445969015/912323479*c_1001_2^9 + 14660510982/912323479*c_1001_2^8 + 2250601996/912323479*c_1001_2^7 + 2821265870/912323479*c_1001_2^6 + 11123636726/912323479*c_1001_2^5 - 5475771410/912323479*c_1001_2^4 + 16547394857/912323479*c_1001_2^3 + 3952934735/912323479*c_1001_2^2 - 22307812851/912323479*c_1001_2 - 8741845565/912323479, c_0101_3 + 579231402/912323479*c_1001_2^14 - 517396603/912323479*c_1001_2^13 - 5768730648/912323479*c_1001_2^12 - 3479373668/912323479*c_1001_2^11 + 18491979395/912323479*c_1001_2^10 + 9769274887/912323479*c_1001_2^9 - 17852958117/912323479*c_1001_2^8 + 5816454368/912323479*c_1001_2^7 - 6640126488/912323479*c_1001_2^6 - 9014453426/912323479*c_1001_2^5 + 8643294074/912323479*c_1001_2^4 - 24554890850/912323479*c_1001_2^3 + 4142617132/912323479*c_1001_2^2 + 19670445709/912323479*c_1001_2 + 3761860307/912323479, c_1001_2^15 - 2*c_1001_2^14 - 9*c_1001_2^13 + 5*c_1001_2^12 + 39*c_1001_2^11 - 18*c_1001_2^10 - 51*c_1001_2^9 + 42*c_1001_2^8 - 20*c_1001_2^7 - 2*c_1001_2^6 + 31*c_1001_2^5 - 56*c_1001_2^4 + 51*c_1001_2^3 + 29*c_1001_2^2 - 30*c_1001_2 - 11 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB