Magma V2.19-8 Tue Aug 20 2013 16:17:55 on localhost [Seed = 509575902] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2146 geometric_solution 5.63005948 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 4 0132 0132 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 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 0.477915200915 1.543119140457 0 4 5 3 0132 1302 0132 2031 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 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.816864037546 0.591319565538 5 0 5 4 1023 0132 3201 2031 0 0 0 0 0 0 0 0 -1 0 0 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 -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 0.376934261187 1.309057483480 6 1 6 0 0132 1302 2310 0132 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 0.492477964260 0.484186238884 5 2 0 1 2310 1302 0132 2031 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 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 -0.623065738813 1.309057483480 2 2 4 1 2310 1023 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 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 0.296437894614 0.622814287737 3 3 6 6 0132 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.545842323718 0.095620993895 ==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' : negation(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' : negation(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' : negation(d['1']), 's_0_2' : 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_0011_4']), 'c_1100_4' : negation(d['c_0011_3']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_4']), 'c_1100_0' : negation(d['c_0011_3']), 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : d['c_0011_0'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], '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' : negation(d['c_0011_0']), '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_0101_1']), 'c_1001_4' : negation(d['c_0101_5']), 'c_1001_6' : negation(d['c_0101_3']), 'c_1001_1' : negation(d['c_0101_5']), 'c_1001_0' : d['c_0011_4'], 'c_1001_3' : d['c_0101_0'], 'c_1001_2' : negation(d['c_0101_5']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_5']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0101_5']), 'c_0110_6' : d['c_0101_3'], 'c_1010_6' : negation(d['c_0101_0']), 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : negation(d['c_0011_0']), 'c_1010_3' : d['c_0011_4'], 'c_1010_2' : d['c_0011_4'], 'c_1010_1' : d['c_0011_3'], 'c_1010_0' : negation(d['c_0101_5'])})} 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_1, c_0101_3, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 7719/41*c_0101_5^5 - 50270/533*c_0101_5^4 - 41284/533*c_0101_5^3 - 503/41*c_0101_5^2 - 8601/533*c_0101_5 - 2329/533, c_0011_0 - 1, c_0011_3 + 182/41*c_0101_5^5 + 61/41*c_0101_5^4 + 149/41*c_0101_5^3 + 141/41*c_0101_5^2 + 37/41*c_0101_5 + 42/41, c_0011_4 - 182/41*c_0101_5^5 - 61/41*c_0101_5^4 - 149/41*c_0101_5^3 - 141/41*c_0101_5^2 - 37/41*c_0101_5 - 42/41, c_0101_0 + 13/41*c_0101_5^5 - 186/41*c_0101_5^4 - 45/41*c_0101_5^3 - 151/41*c_0101_5^2 - 94/41*c_0101_5 - 38/41, c_0101_1 + 182/41*c_0101_5^5 + 61/41*c_0101_5^4 + 149/41*c_0101_5^3 + 141/41*c_0101_5^2 + 37/41*c_0101_5 + 1/41, c_0101_3 - 169/41*c_0101_5^5 - 247/41*c_0101_5^4 - 194/41*c_0101_5^3 - 292/41*c_0101_5^2 - 90/41*c_0101_5 - 80/41, c_0101_5^6 - 4/13*c_0101_5^5 + 16/13*c_0101_5^4 - 2/13*c_0101_5^3 + 6/13*c_0101_5^2 - 1/13*c_0101_5 + 1/13 ], 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_1, c_0101_3, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 13/280*c_0101_5^11 + 51/560*c_0101_5^10 + 121/560*c_0101_5^9 + 5/16*c_0101_5^8 + 25/56*c_0101_5^7 + 459/560*c_0101_5^6 + 307/560*c_0101_5^5 + 31/112*c_0101_5^4 - 23/140*c_0101_5^3 + 69/140*c_0101_5 - 51/70, c_0011_0 - 1, c_0011_3 + 1/8*c_0101_5^11 + 1/8*c_0101_5^10 + 1/2*c_0101_5^9 + 3/8*c_0101_5^8 + 5/4*c_0101_5^7 + 11/8*c_0101_5^6 + 3/2*c_0101_5^5 + 5/8*c_0101_5^4 + 9/8*c_0101_5^3 + 5/2*c_0101_5^2 + 1/2*c_0101_5, c_0011_4 + c_0101_5^2 + 1, c_0101_0 - 1/8*c_0101_5^11 - 1/8*c_0101_5^10 - 3/4*c_0101_5^9 - 3/8*c_0101_5^8 - 9/4*c_0101_5^7 - 9/8*c_0101_5^6 - 17/4*c_0101_5^5 - 5/8*c_0101_5^4 - 33/8*c_0101_5^3 - 3/4*c_0101_5^2 - 7/2*c_0101_5, c_0101_1 + 1, c_0101_3 + 3/8*c_0101_5^11 + 3/8*c_0101_5^10 + 2*c_0101_5^9 + 11/8*c_0101_5^8 + 11/2*c_0101_5^7 + 35/8*c_0101_5^6 + 17/2*c_0101_5^5 + 29/8*c_0101_5^4 + 53/8*c_0101_5^3 + 17/4*c_0101_5^2 + 4*c_0101_5 + 1, c_0101_5^12 + 5*c_0101_5^10 - c_0101_5^9 + 15*c_0101_5^8 - c_0101_5^7 + 23*c_0101_5^6 - 7*c_0101_5^5 + 28*c_0101_5^4 - 3*c_0101_5^3 + 16*c_0101_5^2 - 4*c_0101_5 + 8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.220 seconds, Total memory usage: 32.09MB