Magma V2.19-8 Tue Aug 20 2013 16:18:43 on localhost [Seed = 3187417293] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2879 geometric_solution 6.09209952 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 0 1 0 2 2031 0132 1302 0132 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 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 0 0 0 0.780576140852 0.508839428028 3 0 5 4 0132 0132 0132 0132 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 -1 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 0.293518225790 0.741850196373 4 5 0 3 3201 3201 0132 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 -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 0.293518225790 0.741850196373 1 3 2 3 0132 2310 0132 3201 0 0 0 0 0 1 -1 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 1 -1 0 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 0.706213888189 0.709936636563 4 4 1 2 1302 2031 0132 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.014481269460 0.723062147301 6 6 2 1 0132 3201 2310 0132 0 0 0 0 0 -1 0 1 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 -1 0 1 1 0 0 -1 1 0 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1.454355340440 1.613763196630 5 6 5 6 0132 1302 2310 2031 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 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.083630918186 0.779383211712 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(d['1']), 's_3_0' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : negation(d['1']), 's_2_0' : negation(d['1']), 's_2_1' : 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' : d['1'], 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : negation(d['1']), 's_0_6' : 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' : negation(d['1']), 's_0_1' : d['1'], 'c_1100_6' : d['c_0011_5'], 'c_1100_5' : d['c_0011_2'], 'c_1100_4' : d['c_0011_2'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_2'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_6' : d['c_0101_1'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_4']), 'c_0101_3' : negation(d['c_0011_4']), '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_5'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_5']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_0'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0101_1']), 'c_1001_4' : d['c_0101_2'], 'c_1001_6' : d['c_0101_5'], 'c_1001_1' : negation(d['c_0101_5']), 'c_1001_0' : d['c_0101_2'], 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : negation(d['c_0101_5']), 'c_0110_1' : negation(d['c_0011_4']), 'c_0110_0' : d['c_0101_2'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : negation(d['c_0011_4']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0101_2']), 'c_0110_6' : d['c_0101_5'], 'c_1010_6' : negation(d['c_0011_5']), 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : d['c_0011_4'], 'c_1010_3' : negation(d['c_0101_1']), 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : d['c_0101_2'], '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_2, c_0011_4, c_0011_5, c_0101_1, c_0101_2, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t - 1177591792/1009625*c_0101_5^8 + 2954939716/1009625*c_0101_5^7 - 4087993507/1009625*c_0101_5^6 + 3556119006/1009625*c_0101_5^5 + 538617573/1009625*c_0101_5^4 - 3196184174/1009625*c_0101_5^3 + 3824246783/1009625*c_0101_5^2 - 2023543821/1009625*c_0101_5 + 297054096/1009625, c_0011_0 - 1, c_0011_2 + 1980784/24625*c_0101_1*c_0101_5^8 - 4787444/24625*c_0101_1*c_0101_5^7 + 6490343/24625*c_0101_1*c_0101_5^6 - 1102523/4925*c_0101_1*c_0101_5^5 - 1298798/24625*c_0101_1*c_0101_5^4 + 5287614/24625*c_0101_1*c_0101_5^3 - 6205984/24625*c_0101_1*c_0101_5^2 + 3167197/24625*c_0101_1*c_0101_5 - 446068/24625*c_0101_1, c_0011_4 + 1817088/24625*c_0101_1*c_0101_5^8 - 4334208/24625*c_0101_1*c_0101_5^7 + 5846976/24625*c_0101_1*c_0101_5^6 - 985736/4925*c_0101_1*c_0101_5^5 - 1308286/24625*c_0101_1*c_0101_5^4 + 4781523/24625*c_0101_1*c_0101_5^3 - 5596238/24625*c_0101_1*c_0101_5^2 + 2790554/24625*c_0101_1*c_0101_5 - 338551/24625*c_0101_1, c_0011_5 + 780112/24625*c_0101_1*c_0101_5^8 - 1982492/24625*c_0101_1*c_0101_5^7 + 2740549/24625*c_0101_1*c_0101_5^6 - 468889/4925*c_0101_1*c_0101_5^5 - 404364/24625*c_0101_1*c_0101_5^4 + 2234677/24625*c_0101_1*c_0101_5^3 - 2626337/24625*c_0101_1*c_0101_5^2 + 1363171/24625*c_0101_1*c_0101_5 - 211599/24625*c_0101_1, c_0101_1^2 - 1102688/320125*c_0101_5^8 + 1894808/320125*c_0101_5^7 - 2147426/320125*c_0101_5^6 + 201811/64025*c_0101_5^5 + 2144736/320125*c_0101_5^4 - 137846/24625*c_0101_5^3 + 1750588/320125*c_0101_5^2 + 293021/320125*c_0101_5 - 258499/320125, c_0101_2 + 10544/197*c_0101_5^8 - 26020/197*c_0101_5^7 + 35931/197*c_0101_5^6 - 30909/197*c_0101_5^5 - 5941/197*c_0101_5^4 + 28924/197*c_0101_5^3 - 34722/197*c_0101_5^2 + 18052/197*c_0101_5 - 2660/197, c_0101_5^9 - 11/4*c_0101_5^8 + 65/16*c_0101_5^7 - 61/16*c_0101_5^6 + 3/16*c_0101_5^5 + 47/16*c_0101_5^4 - 4*c_0101_5^3 + 41/16*c_0101_5^2 - 11/16*c_0101_5 + 1/16 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB