Magma V2.19-8 Tue Aug 20 2013 16:16:46 on localhost [Seed = 930524159] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1056 geometric_solution 4.93040561 oriented_manifold CS_known -0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 1 2 2 1 0132 0132 1023 3201 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 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 1.217841549323 0.197937846075 0 0 1 1 0132 2310 1230 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1.468276239921 0.138832614352 3 0 0 4 0132 0132 1023 0132 0 0 0 0 0 -1 0 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 1 0 -1 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 1.008101334442 0.639303946924 2 5 4 4 0132 0132 3201 2031 0 0 0 0 0 0 -1 1 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 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 0.315874005945 0.645229662672 3 3 2 5 2310 1302 0132 1023 0 0 0 0 0 0 -1 1 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 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 0.315874005945 0.645229662672 6 3 6 4 0132 0132 2310 1023 0 0 0 0 0 0 0 0 0 0 1 -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 0 0 0 0 -1 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 0.661088957250 0.980883000540 5 5 6 6 0132 3201 1230 3012 0 0 0 0 0 1 0 -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 0 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 0.369076986290 0.226156328458 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(d['1']), 's_3_3' : 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' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : negation(d['1']), 's_2_4' : negation(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' : d['1'], 's_1_1' : d['1'], 's_1_0' : d['1'], 's_0_6' : d['1'], 's_0_4' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : d['c_0101_5'], 'c_1100_5' : d['c_0011_0'], 'c_1100_4' : negation(d['c_0011_0']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0101_0'], 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_6' : d['c_0011_4'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_3'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_0']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_0'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : d['c_0011_4'], 'c_1001_4' : d['c_0101_2'], 'c_1001_6' : negation(d['c_0101_5']), 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : d['c_0101_2'], 'c_1001_3' : negation(d['c_0101_3']), 'c_1001_2' : d['c_0101_0'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_2'], 'c_0110_2' : d['c_0101_3'], 'c_0110_5' : d['c_0011_4'], 'c_0110_4' : negation(d['c_0101_3']), 'c_0110_6' : d['c_0101_5'], 'c_1010_6' : negation(d['c_0011_4']), 'c_1010_5' : negation(d['c_0101_3']), 'c_1010_4' : d['c_0011_4'], 'c_1010_3' : d['c_0011_4'], 'c_1010_2' : d['c_0101_2'], '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_4, c_0101_0, c_0101_1, c_0101_2, c_0101_3, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 36 Groebner basis: [ t - 153/4*c_0101_2*c_0101_5^17 + 173/2*c_0101_2*c_0101_5^16 + 1347/4*c_0101_2*c_0101_5^15 - 40719/32*c_0101_2*c_0101_5^14 + 9273/32*c_0101_2*c_0101_5^13 + 66339/16*c_0101_2*c_0101_5^12 - 47311/8*c_0101_2*c_0101_5^11 - 53953/32*c_0101_2*c_0101_5^10 + 81087/8*c_0101_2*c_0101_5^9 - 76723/16*c_0101_2*c_0101_5^8 - 232293/32*c_0101_2*c_0101_5^7 + 194519/32*c_0101_2*c_0101_5^6 + 54171/16*c_0101_2*c_0101_5^5 - 98543/32*c_0101_2*c_0101_5^4 - 48501/32*c_0101_2*c_0101_5^3 + 9881/16*c_0101_2*c_0101_5^2 + 7067/16*c_0101_2*c_0101_5 + 1981/32*c_0101_2, c_0011_0 - 1, c_0011_4 + c_0101_2*c_0101_5^17 - 9/2*c_0101_2*c_0101_5^16 + 13/4*c_0101_2*c_0101_5^15 + 65/4*c_0101_2*c_0101_5^14 - 71/2*c_0101_2*c_0101_5^13 + 15/2*c_0101_2*c_0101_5^12 + 197/4*c_0101_2*c_0101_5^11 - 85/2*c_0101_2*c_0101_5^10 - 65/2*c_0101_2*c_0101_5^9 + 201/4*c_0101_2*c_0101_5^8 + 65/4*c_0101_2*c_0101_5^7 - 63/2*c_0101_2*c_0101_5^6 - 57/4*c_0101_2*c_0101_5^5 + 41/4*c_0101_2*c_0101_5^4 + 8*c_0101_2*c_0101_5^3 + 5/2*c_0101_2*c_0101_5^2 - 3/4*c_0101_2*c_0101_5 - c_0101_2, c_0101_0 + 192*c_0101_5^17 - 964*c_0101_5^16 + 950*c_0101_5^15 + 3425*c_0101_5^14 - 9196*c_0101_5^13 + 3367*c_0101_5^12 + 14047*c_0101_5^11 - 16908*c_0101_5^10 - 6146*c_0101_5^9 + 20463*c_0101_5^8 - 1775*c_0101_5^7 - 14152*c_0101_5^6 + 1759*c_0101_5^5 + 6748*c_0101_5^4 + 580*c_0101_5^3 - 1708*c_0101_5^2 - 711*c_0101_5 - 88, c_0101_1 - 65*c_0101_2*c_0101_5^17 + 663/2*c_0101_2*c_0101_5^16 - 1635/4*c_0101_2*c_0101_5^15 - 1729/2*c_0101_2*c_0101_5^14 + 12067/4*c_0101_2*c_0101_5^13 - 2367*c_0101_2*c_0101_5^12 - 9963/4*c_0101_2*c_0101_5^11 + 22109/4*c_0101_2*c_0101_5^10 - 2779/2*c_0101_2*c_0101_5^9 - 15873/4*c_0101_2*c_0101_5^8 + 2459*c_0101_2*c_0101_5^7 + 6137/4*c_0101_2*c_0101_5^6 - 4531/4*c_0101_2*c_0101_5^5 - 919/2*c_0101_2*c_0101_5^4 + 803/4*c_0101_2*c_0101_5^3 + 65*c_0101_2*c_0101_5^2 - 53/4*c_0101_2*c_0101_5 - 15/4*c_0101_2, c_0101_2^2 + 60*c_0101_5^17 - 294*c_0101_5^16 + 247*c_0101_5^15 + 1173*c_0101_5^14 - 2822*c_0101_5^13 + 524*c_0101_5^12 + 5110*c_0101_5^11 - 5189*c_0101_5^10 - 3067*c_0101_5^9 + 7196*c_0101_5^8 + 16*c_0101_5^7 - 5234*c_0101_5^6 + 389*c_0101_5^5 + 2497*c_0101_5^4 + 284*c_0101_5^3 - 631*c_0101_5^2 - 269*c_0101_5 - 34, c_0101_3 - 4*c_0101_5^17 + 18*c_0101_5^16 - 9*c_0101_5^15 - 83*c_0101_5^14 + 155*c_0101_5^13 + 35*c_0101_5^12 - 339*c_0101_5^11 + 200*c_0101_5^10 + 327*c_0101_5^9 - 371*c_0101_5^8 - 195*c_0101_5^7 + 327*c_0101_5^6 + 122*c_0101_5^5 - 167*c_0101_5^4 - 89*c_0101_5^3 + 31*c_0101_5^2 + 36*c_0101_5 + 9, c_0101_5^18 - 9/2*c_0101_5^17 + 9/4*c_0101_5^16 + 83/4*c_0101_5^15 - 155/4*c_0101_5^14 - 35/4*c_0101_5^13 + 339/4*c_0101_5^12 - 50*c_0101_5^11 - 327/4*c_0101_5^10 + 371/4*c_0101_5^9 + 195/4*c_0101_5^8 - 327/4*c_0101_5^7 - 61/2*c_0101_5^6 + 167/4*c_0101_5^5 + 89/4*c_0101_5^4 - 31/4*c_0101_5^3 - 35/4*c_0101_5^2 - 5/2*c_0101_5 - 1/4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.230 seconds, Total memory usage: 32.09MB