Magma V2.19-8 Tue Aug 20 2013 16:14:28 on localhost [Seed = 3414841295] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s450 geometric_solution 4.76850986 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 6 1 2 3 4 0132 0132 0132 0132 0 0 0 0 0 0 1 -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 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 1.284956911288 1.340336640820 0 3 2 4 0132 1230 0321 0321 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 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 -0.151758264710 0.713817263878 3 0 1 5 1230 0132 0321 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 -1 0 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.309839032327 0.580788227087 4 2 1 0 0321 3012 3012 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 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 0.469387564741 0.134120877185 3 1 0 5 0321 0321 0132 3201 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 0 1 0 -1 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 0.309839032327 0.580788227087 5 4 2 5 3012 2310 0132 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.067272085614 0.955049041013 ==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' : negation(d['1']), 's_2_2' : negation(d['1']), 's_2_3' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : negation(d['1']), 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_5' : d['c_0011_5'], 'c_1100_4' : negation(d['c_0011_5']), 'c_1100_1' : d['c_1001_2'], 'c_1100_0' : negation(d['c_0011_5']), 'c_1100_3' : negation(d['c_0011_5']), 'c_1100_2' : d['c_0011_5'], 'c_0101_5' : d['c_0011_3'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0101_1']), 'c_0101_2' : negation(d['c_0101_1']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_4']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], '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_1'], 'c_1001_4' : d['c_1001_2'], 'c_1001_1' : d['c_0011_5'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_0011_0'], 'c_1001_2' : d['c_1001_2'], 'c_0110_1' : negation(d['c_0011_4']), 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0011_4']), 'c_0110_2' : d['c_0011_3'], 'c_0110_5' : d['c_0011_5'], 'c_0110_4' : negation(d['c_0011_3']), 'c_1010_5' : d['c_0011_3'], 'c_1010_4' : negation(d['c_0101_1']), 'c_1010_3' : d['c_0101_1'], 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : d['c_1001_2']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_4, c_0011_5, c_0101_1, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 1550441/35025280*c_1001_2^9 - 1470567/7005056*c_1001_2^8 - 33455629/35025280*c_1001_2^7 + 7530519/7005056*c_1001_2^6 + 52704627/8756320*c_1001_2^5 - 2288467/547270*c_1001_2^4 - 8769/109454*c_1001_2^3 + 736605/109454*c_1001_2^2 - 2185731/273635*c_1001_2 + 2249321/547270, c_0011_0 - 1, c_0011_3 - 47405/3502528*c_1001_2^9 + 312533/3502528*c_1001_2^8 + 552459/3502528*c_1001_2^7 - 2739385/3502528*c_1001_2^6 - 1722943/1751264*c_1001_2^5 + 3669245/875632*c_1001_2^4 - 1711149/437816*c_1001_2^3 - 77369/218908*c_1001_2^2 + 195208/54727*c_1001_2 - 134635/54727, c_0011_4 + 1, c_0011_5 - 9651/3502528*c_1001_2^9 + 62907/3502528*c_1001_2^8 + 123565/3502528*c_1001_2^7 - 585223/3502528*c_1001_2^6 - 407585/1751264*c_1001_2^5 + 753911/875632*c_1001_2^4 - 157197/218908*c_1001_2^3 - 36229/218908*c_1001_2^2 + 157117/109454*c_1001_2 - 47405/54727, c_0101_1 + 2529/218908*c_1001_2^9 - 100319/1751264*c_1001_2^8 - 415869/1751264*c_1001_2^7 + 573161/1751264*c_1001_2^6 + 2731013/1751264*c_1001_2^5 - 1184493/875632*c_1001_2^4 - 9481/54727*c_1001_2^3 + 209109/218908*c_1001_2^2 - 40939/54727*c_1001_2 + 11269/54727, c_1001_2^10 - 7*c_1001_2^9 - 9*c_1001_2^8 + 63*c_1001_2^7 + 48*c_1001_2^6 - 344*c_1001_2^5 + 416*c_1001_2^4 - 80*c_1001_2^3 - 288*c_1001_2^2 + 320*c_1001_2 - 128 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.000 Total time: 0.200 seconds, Total memory usage: 32.09MB