Magma V2.19-8 Tue Aug 20 2013 16:14:25 on localhost [Seed = 1916006000] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s418 geometric_solution 4.68904872 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 6 1 2 1 3 0132 0132 0213 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 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 0.661958020359 0.627962472896 0 0 3 2 0132 0213 1230 2103 0 0 0 0 0 1 0 -1 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.664639861332 1.234665858218 4 0 4 1 0132 0132 1023 2103 0 0 0 0 0 0 0 0 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 1 -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 0.653661271372 0.786894411965 5 5 0 1 0132 3201 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 -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 0.916499043211 1.420350859544 2 4 2 4 0132 1302 1023 2031 0 0 0 0 0 0 0 0 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 1 0 -1 0 0 1 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.520548752921 0.148455417563 3 5 3 5 0132 1302 2310 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.841525932621 0.671945316909 ==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_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_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_5' : d['c_0011_3'], 'c_1100_4' : negation(d['c_0011_0']), 'c_1100_1' : negation(d['c_0101_4']), 'c_1100_0' : negation(d['c_1001_0']), 'c_1100_3' : negation(d['c_1001_0']), 'c_1100_2' : d['c_0011_0'], 'c_0101_5' : negation(d['c_0101_4']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_1'], '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' : negation(d['c_0011_3']), 'c_0011_4' : 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' : d['c_0101_1'], 'c_1001_4' : d['c_0101_2'], 'c_1001_1' : d['c_1001_0'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0101_4'], 'c_1001_2' : d['c_0101_4'], 'c_0110_1' : negation(d['c_0011_0']), 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_4']), 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_2'], 'c_1010_5' : negation(d['c_0011_3']), 'c_1010_4' : d['c_0011_0'], 'c_1010_3' : negation(d['c_0101_1']), 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_1001_0']), 'c_1010_0' : d['c_0101_4']})} 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_0101_1, c_0101_2, c_0101_4, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 3 Groebner basis: [ t - 16/3*c_1001_0^2 - 37/3*c_1001_0 + 26/3, c_0011_0 - 1, c_0011_3 - 1, c_0101_1 + c_1001_0 + 1, c_0101_2 - c_1001_0 - 1, c_0101_4 - c_1001_0^2 - 2*c_1001_0, c_1001_0^3 + 3*c_1001_0^2 - 1 ], Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0101_1, c_0101_2, c_0101_4, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 143714/5069*c_1001_0^11 + 223150/5069*c_1001_0^10 + 114125/5069*c_1001_0^9 + 1059880/5069*c_1001_0^8 + 1158283/5069*c_1001_0^7 - 1294374/5069*c_1001_0^6 - 2477979/5069*c_1001_0^5 - 1841488/5069*c_1001_0^4 + 809742/5069*c_1001_0^3 + 2088218/5069*c_1001_0^2 + 59559/5069*c_1001_0 - 342460/5069, c_0011_0 - 1, c_0011_3 + 3030/5069*c_1001_0^11 + 4290/5069*c_1001_0^10 - 73/5069*c_1001_0^9 + 19674/5069*c_1001_0^8 + 18896/5069*c_1001_0^7 - 46137/5069*c_1001_0^6 - 60966/5069*c_1001_0^5 - 26481/5069*c_1001_0^4 + 37594/5069*c_1001_0^3 + 67332/5069*c_1001_0^2 - 9070/5069*c_1001_0 - 10183/5069, c_0101_1 - 2910/5069*c_1001_0^11 - 6228/5069*c_1001_0^10 - 3694/5069*c_1001_0^9 - 22408/5069*c_1001_0^8 - 36918/5069*c_1001_0^7 + 20621/5069*c_1001_0^6 + 63219/5069*c_1001_0^5 + 45909/5069*c_1001_0^4 - 5390/5069*c_1001_0^3 - 53624/5069*c_1001_0^2 - 4840/5069*c_1001_0 + 12791/5069, c_0101_2 + 1681/5069*c_1001_0^11 + 5040/5069*c_1001_0^10 + 4806/5069*c_1001_0^9 + 16024/5069*c_1001_0^8 + 33011/5069*c_1001_0^7 + 4321/5069*c_1001_0^6 - 36744/5069*c_1001_0^5 - 52769/5069*c_1001_0^4 - 28572/5069*c_1001_0^3 + 25932/5069*c_1001_0^2 + 15930/5069*c_1001_0 - 301/5069, c_0101_4 + 3318/5069*c_1001_0^11 + 3694/5069*c_1001_0^10 + 2038/5069*c_1001_0^9 + 25278/5069*c_1001_0^8 + 17209/5069*c_1001_0^7 - 28299/5069*c_1001_0^6 - 34269/5069*c_1001_0^5 - 29530/5069*c_1001_0^4 + 21614/5069*c_1001_0^3 + 25210/5069*c_1001_0^2 - 12040/5069*c_1001_0 - 2910/5069, c_1001_0^12 + c_1001_0^11 + 7*c_1001_0^9 + 4*c_1001_0^8 - 13*c_1001_0^7 - 12*c_1001_0^6 - 4*c_1001_0^5 + 12*c_1001_0^4 + 11*c_1001_0^3 - 7*c_1001_0^2 - 2*c_1001_0 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.220 seconds, Total memory usage: 32.09MB