Magma V2.19-8 Tue Aug 20 2013 23:26:32 on localhost [Seed = 509116220] Type ? for help. Type -D to quit. Loading file "K12n475__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K12n475 geometric_solution 6.45137056 oriented_manifold CS_known 0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 4 0132 0132 0132 0132 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 -1 -4 5 0 0 -1 1 -4 4 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.618792282683 0.768765419613 0 3 4 2 0132 3012 1230 1230 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 -1 1 0 0 4 1 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.517720457738 1.044064867670 1 0 6 5 3012 0132 0132 0132 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 -1 0 0 0 0 0 0 0 0 0 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.432066033511 0.429127590267 1 6 5 0 1230 1023 2310 0132 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 -4 4 -1 0 0 1 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.384866263219 0.526472729072 6 5 0 1 2031 1302 0132 3012 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 -5 5 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 0.325902581785 0.864960884570 6 3 2 4 1023 3201 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 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.232198000117 1.045786208776 3 5 4 2 1023 1023 1302 0132 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 -1 1 0 0 0 0 0 4 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.232198000116 1.045786208776 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : negation(d['1']), 's_3_0' : negation(d['1']), 's_2_0' : negation(d['1']), 's_2_1' : negation(d['1']), 's_2_2' : negation(d['1']), 's_2_3' : 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' : negation(d['1']), 's_1_2' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_0_6' : negation(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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : d['c_0101_1'], 'c_1100_5' : d['c_0101_1'], 'c_1100_4' : d['c_0011_3'], 's_3_6' : negation(d['1']), 'c_1100_1' : d['c_0101_5'], 'c_1100_0' : d['c_0011_3'], 'c_1100_3' : d['c_0011_3'], 'c_1100_2' : d['c_0101_1'], 'c_0101_6' : negation(d['c_0011_4']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0101_2']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_0']), 'c_0011_5' : d['c_0011_3'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : 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' : d['c_0101_2'], 'c_1001_4' : d['c_0110_5'], 'c_1001_6' : d['c_0101_5'], 'c_1001_1' : negation(d['c_0011_3']), 'c_1001_0' : d['c_0101_2'], 'c_1001_3' : negation(d['c_0011_4']), 'c_1001_2' : d['c_0110_5'], 'c_0110_1' : negation(d['c_0011_0']), 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0011_0']), 'c_0110_2' : d['c_0101_5'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0101_5'], 'c_0110_6' : d['c_0101_2'], 'c_1010_6' : d['c_0110_5'], 'c_1010_5' : d['c_0011_4'], 'c_1010_4' : negation(d['c_0101_1']), 'c_1010_3' : d['c_0101_2'], 'c_1010_2' : d['c_0101_2'], 'c_1010_1' : d['c_0101_2'], 'c_1010_0' : d['c_0110_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_1, c_0101_2, c_0101_5, c_0110_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t - 48237/132044*c_0110_5^8 - 793213/132044*c_0110_5^7 - 1088113/66022*c_0110_5^6 - 2874981/132044*c_0110_5^5 - 2207181/66022*c_0110_5^4 - 2317347/132044*c_0110_5^3 - 3458603/132044*c_0110_5^2 - 278628/33011*c_0110_5 - 194265/66022, c_0011_0 - 1, c_0011_3 + 849/3001*c_0110_5^8 + 5411/3001*c_0110_5^7 + 9529/3001*c_0110_5^6 + 9716/3001*c_0110_5^5 + 14627/3001*c_0110_5^4 + 2820/3001*c_0110_5^3 + 14971/3001*c_0110_5^2 - 641/3001*c_0110_5 + 1417/3001, c_0011_4 - 8580/3001*c_0110_5^8 - 21662/3001*c_0110_5^7 - 21922/3001*c_0110_5^6 - 46261/3001*c_0110_5^5 - 6360/3001*c_0110_5^4 - 46155/3001*c_0110_5^3 + 333/3001*c_0110_5^2 - 7403/3001*c_0110_5 - 1786/3001, c_0101_1 + 5382/3001*c_0110_5^8 + 11460/3001*c_0110_5^7 + 7258/3001*c_0110_5^6 + 20861/3001*c_0110_5^5 - 8833/3001*c_0110_5^4 + 23359/3001*c_0110_5^3 - 13386/3001*c_0110_5^2 + 2543/3001*c_0110_5 - 1717/3001, c_0101_2 - 3876/3001*c_0110_5^8 - 10642/3001*c_0110_5^7 - 12942/3001*c_0110_5^6 - 26489/3001*c_0110_5^5 - 13555/3001*c_0110_5^4 - 29014/3001*c_0110_5^3 - 7904/3001*c_0110_5^2 - 7084/3001*c_0110_5 - 2641/3001, c_0101_5 + c_0110_5, c_0110_5^9 + 8/3*c_0110_5^8 + 3*c_0110_5^7 + 6*c_0110_5^6 + 2*c_0110_5^5 + 19/3*c_0110_5^4 + c_0110_5^3 + 5/3*c_0110_5^2 + 1/3*c_0110_5 + 1/3 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.000 Total time: 0.220 seconds, Total memory usage: 32.09MB