Magma V2.19-8 Tue Aug 20 2013 16:18:49 on localhost [Seed = 4038159757] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2982 geometric_solution 6.16104618 oriented_manifold CS_known -0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 1 0132 0132 0132 3012 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 0 0 1 -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 0.683134126060 1.133281769933 0 4 0 5 0132 0132 1230 0132 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 -1 0 1 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 0.589338793929 0.346194694317 6 0 6 5 0132 0132 1023 2103 0 0 0 0 0 1 -1 0 1 0 -1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.159453861645 0.964185388880 5 5 4 0 0132 3120 1302 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 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 0.377595330546 0.458362465484 3 1 4 4 2031 0132 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 0.738494429982 0.741044946796 3 3 1 2 0132 3120 0132 2103 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.895148804779 0.862859959129 2 6 2 6 0132 2310 1023 3201 0 0 0 0 0 0 1 -1 -1 0 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.630834617656 0.340440243694 ==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' : 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' : 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_0']), 'c_1100_5' : d['c_0101_1'], 'c_1100_4' : d['c_0110_4'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0101_1'], 'c_1100_0' : d['c_0101_4'], 'c_1100_3' : d['c_0101_4'], 'c_1100_2' : d['c_0011_0'], 'c_0101_6' : negation(d['c_0101_1']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_0']), '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_3']), 'c_0011_4' : d['c_0011_0'], '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_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0110_4']), 'c_1001_4' : negation(d['c_0110_4']), 'c_1001_6' : d['c_0101_2'], 'c_1001_1' : negation(d['c_0101_4']), 'c_1001_0' : d['c_0011_3'], 'c_1001_3' : d['c_0110_4'], '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' : negation(d['c_0101_1']), 'c_0110_5' : negation(d['c_0011_0']), 'c_0110_4' : d['c_0110_4'], 'c_0110_6' : d['c_0101_2'], 'c_1010_6' : negation(d['c_0101_2']), 'c_1010_5' : negation(d['c_0011_3']), 'c_1010_4' : negation(d['c_0101_4']), 'c_1010_3' : d['c_0011_3'], 'c_1010_2' : d['c_0011_3'], 'c_1010_1' : negation(d['c_0110_4']), 'c_1010_0' : negation(d['c_0101_1'])})} 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_0101_0, c_0101_1, c_0101_2, c_0101_4, c_0110_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 20 Groebner basis: [ t - 473404/19909*c_0110_4^9 - 413840/19909*c_0110_4^8 + 1973251/19909*c_0110_4^7 + 522661/19909*c_0110_4^6 - 466977/19909*c_0110_4^5 - 2598300/19909*c_0110_4^4 + 100983/19909*c_0110_4^3 + 957626/19909*c_0110_4^2 + 115934/19909*c_0110_4 + 248382/19909, c_0011_0 - 1, c_0011_3 - 36744/19909*c_0101_2*c_0110_4^9 - 35928/19909*c_0101_2*c_0110_4^8 + 137454/19909*c_0101_2*c_0110_4^7 + 45676/19909*c_0101_2*c_0110_4^6 + 20611/19909*c_0101_2*c_0110_4^5 - 197845/19909*c_0101_2*c_0110_4^4 - 24665/19909*c_0101_2*c_0110_4^3 + 53409/19909*c_0101_2*c_0110_4^2 + 9316/19909*c_0101_2*c_0110_4 + 23658/19909*c_0101_2, c_0101_0 - 24744/19909*c_0101_2*c_0110_4^9 - 15924/19909*c_0101_2*c_0110_4^8 + 126634/19909*c_0101_2*c_0110_4^7 + 27599/19909*c_0101_2*c_0110_4^6 - 94885/19909*c_0101_2*c_0110_4^5 - 163089/19909*c_0101_2*c_0110_4^4 + 45796/19909*c_0101_2*c_0110_4^3 + 97423/19909*c_0101_2*c_0110_4^2 + 1150/19909*c_0101_2*c_0110_4 + 10366/19909*c_0101_2, c_0101_1 - 36816/19909*c_0101_2*c_0110_4^9 - 41304/19909*c_0101_2*c_0110_4^8 + 139908/19909*c_0101_2*c_0110_4^7 + 67326/19909*c_0101_2*c_0110_4^6 - 23770/19909*c_0101_2*c_0110_4^5 - 195983/19909*c_0101_2*c_0110_4^4 + 6249/19909*c_0101_2*c_0110_4^3 + 54658/19909*c_0101_2*c_0110_4^2 + 8489/19909*c_0101_2*c_0110_4 + 9244/19909*c_0101_2, c_0101_2^2 - 58216/19909*c_0110_4^9 - 72996/19909*c_0110_4^8 + 205658/19909*c_0110_4^7 + 129095/19909*c_0110_4^6 + 13635/19909*c_0110_4^5 - 295128/19909*c_0110_4^4 - 58684/19909*c_0110_4^3 + 56466/19909*c_0110_4^2 + 17079/19909*c_0110_4 - 12179/19909, c_0101_4 - 21052/19909*c_0110_4^9 - 5708/19909*c_0110_4^8 + 93707/19909*c_0110_4^7 - 29600/19909*c_0110_4^6 - 10222/19909*c_0110_4^5 - 114781/19909*c_0110_4^4 + 77648/19909*c_0110_4^3 + 12362/19909*c_0110_4^2 - 10640/19909*c_0110_4 + 15063/19909, c_0110_4^10 + c_0110_4^9 - 17/4*c_0110_4^8 - 2*c_0110_4^7 + 5/4*c_0110_4^6 + 25/4*c_0110_4^5 + c_0110_4^4 - 5/2*c_0110_4^3 - c_0110_4^2 - 3/4*c_0110_4 - 1/4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB