Magma V2.19-8 Tue Aug 20 2013 16:17:07 on localhost [Seed = 189437912] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1360 geometric_solution 5.22551557 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 0 0 1 0132 1230 3012 3201 0 0 0 0 0 -1 0 1 -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 0 0 0 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 -0.267022321213 0.101245524539 0 0 2 2 0132 2310 2310 0132 0 0 0 0 0 -1 1 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 -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 2.490030993848 1.178823120783 3 1 1 4 0132 3201 0132 0132 0 0 0 0 0 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 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 0.699191143269 0.821697692203 2 5 4 6 0132 0132 3201 0132 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 0 0.006310452758 0.776679623985 3 6 2 5 2310 1023 0132 2310 0 0 0 0 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 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 0.006310452758 0.776679623985 4 3 5 5 3201 0132 2031 1302 0 0 0 0 0 -1 0 1 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 1 0 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 0.286139386607 0.430461938689 4 6 3 6 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.826364167126 0.998781879814 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : 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_2_6' : d['1'], 's_1_6' : negation(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_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_4']), 'c_1100_5' : d['c_0101_3'], 'c_1100_4' : d['c_0011_2'], 's_3_6' : negation(d['1']), 'c_1100_1' : d['c_0011_2'], 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : d['c_0011_2'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_3'], 'c_0101_4' : d['c_0101_3'], '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_0011_5' : d['c_0011_2'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_4'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_2']), 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0110_5']), 'c_1001_4' : d['c_0101_0'], 'c_1001_6' : negation(d['c_0110_5']), 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0101_3']), 'c_1001_2' : negation(d['c_0101_1']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_3'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : negation(d['c_0101_3']), 'c_0110_6' : negation(d['c_0110_5']), 'c_1010_6' : d['c_0011_4'], 'c_1010_5' : negation(d['c_0101_3']), 'c_1010_4' : negation(d['c_0110_5']), 'c_1010_3' : negation(d['c_0110_5']), 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : d['c_0101_0']})} 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_2, c_0011_4, c_0101_0, c_0101_1, c_0101_3, c_0110_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 26 Groebner basis: [ t - 1349595621701/34144256*c_0110_5^25 + 122334787433117/85360640*c_0110_5^23 + 380794462776831/34144256*c_0110_5^21 + 1925502191121795/17072128*c_0110_5^19 - 10802636095124263/10670080*c_0110_5^17 + 235439242771408617/170721280*c_0110_5^15 + 534895067707795569/170721280*c_0110_5^13 - 1096569778849280967/170721280*c_0110_5^11 - 54617510795889081/10670080*c_0110_5^9 + 33571546295162761/2134016*c_0110_5^7 - 3899903442310331/666880*c_0110_5^5 - 385820495219801/166720*c_0110_5^3 - 7748007387573/41680*c_0110_5, c_0011_0 - 1, c_0011_2 + 3465/32*c_0110_5^24 - 125137/32*c_0110_5^22 - 994781/32*c_0110_5^20 - 10059591/32*c_0110_5^18 + 43505143/16*c_0110_5^16 - 111399551/32*c_0110_5^14 - 137144039/16*c_0110_5^12 + 262151903/16*c_0110_5^10 + 457169133/32*c_0110_5^8 - 649402649/16*c_0110_5^6 + 232283787/16*c_0110_5^4 + 23326139/4*c_0110_5^2 + 470111, c_0011_4 + 118920652877/1067008*c_0110_5^25 - 2154484367073/533504*c_0110_5^23 - 33653336056551/1067008*c_0110_5^21 - 170161593220331/533504*c_0110_5^19 + 94876572075809/33344*c_0110_5^17 - 4093084527459645/1067008*c_0110_5^15 - 9427555892846149/1067008*c_0110_5^13 + 19094860306191267/1067008*c_0110_5^11 + 483139350483265/33344*c_0110_5^9 - 732055396647517/16672*c_0110_5^7 + 135141956143935/8336*c_0110_5^5 + 26809141569723/4168*c_0110_5^3 + 538714258015/1042*c_0110_5, c_0101_0 + 118920661213/533504*c_0110_5^25 - 2154484517121/266752*c_0110_5^23 - 33653338482327/533504*c_0110_5^21 - 170161605490923/266752*c_0110_5^19 + 94876578509117/16672*c_0110_5^17 - 4093084778481613/533504*c_0110_5^15 - 9427556549047733/533504*c_0110_5^13 + 19094861499347955/533504*c_0110_5^11 + 120784846263555/4168*c_0110_5^9 - 366027721648147/4168*c_0110_5^7 + 67570982139675/2084*c_0110_5^5 + 13404571609865/1042*c_0110_5^3 + 1077428584281/1042*c_0110_5, c_0101_1 - 45/64*c_0110_5^24 + 811/32*c_0110_5^22 + 13027/64*c_0110_5^20 + 65881/32*c_0110_5^18 - 279661/16*c_0110_5^16 + 1389829/64*c_0110_5^14 + 3551617/64*c_0110_5^12 - 6579899/64*c_0110_5^10 - 745439/8*c_0110_5^8 + 4099739/16*c_0110_5^6 - 360819/4*c_0110_5^4 - 145863/4*c_0110_5^2 - 2945, c_0101_3 - 1069929/256*c_0110_5^24 + 19347525/128*c_0110_5^22 + 305283303/256*c_0110_5^20 + 1543496019/128*c_0110_5^18 - 6765467553/64*c_0110_5^16 + 35425987457/256*c_0110_5^14 + 84796487153/256*c_0110_5^12 - 166070625987/256*c_0110_5^10 - 35109691923/64*c_0110_5^8 + 102410327337/64*c_0110_5^6 - 9276868573/16*c_0110_5^4 - 463437317/2*c_0110_5^2 - 18657473, c_0110_5^26 - 38*c_0110_5^24 - 219*c_0110_5^22 - 2362*c_0110_5^20 + 30584*c_0110_5^18 - 79505*c_0110_5^16 - 18493*c_0110_5^14 + 300571*c_0110_5^12 - 153556*c_0110_5^10 - 623568*c_0110_5^8 + 841216*c_0110_5^6 - 199168*c_0110_5^4 - 97280*c_0110_5^2 - 8192 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB