Magma V2.19-8 Tue Aug 20 2013 16:19:03 on localhost [Seed = 2715827403] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3193 geometric_solution 6.34220828 oriented_manifold CS_known 0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 4 0132 0132 0132 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 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 0.609364261915 0.516065827817 0 5 4 2 0132 0132 1230 2103 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.932482417475 1.231895251208 6 0 6 1 0132 0132 1023 2103 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 0 0 0 0 0 0 0 0 0 0 0 0.241432783938 1.208308976851 6 5 5 0 3012 3201 1230 0132 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 -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 0.704625248135 0.610937663957 4 4 0 1 1230 3012 0132 3012 0 0 0 0 0 1 -1 0 -1 0 0 1 -1 1 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 1 0 -1 0 1 -1 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.044357462889 0.809326190973 6 1 3 3 1023 0132 2310 3012 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.189845268062 0.702435856058 2 5 2 3 0132 1023 1023 1230 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.357383185501 0.830384803799 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : negation(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' : negation(d['1']), 's_1_1' : 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' : 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_0'], 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : d['c_0101_3'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_4'], 'c_1100_0' : d['c_0101_3'], 'c_1100_3' : d['c_0101_3'], 'c_1100_2' : negation(d['c_0101_0']), 'c_0101_6' : negation(d['c_0011_4']), 'c_0101_5' : d['c_0011_3'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_3'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], '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_1001_0']), 'c_1001_4' : negation(d['c_0011_4']), 'c_1001_6' : d['c_0011_3'], 'c_1001_1' : negation(d['c_0101_3']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0011_3']), 'c_1001_2' : negation(d['c_0011_4']), '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_0011_4']), 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0011_4'], 'c_0110_6' : d['c_0011_3'], 'c_1010_6' : d['c_0101_3'], 'c_1010_5' : negation(d['c_0101_3']), 'c_1010_4' : negation(d['c_0101_1']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_1001_0']), 'c_1010_0' : negation(d['c_0011_4'])})} 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_0, c_0101_1, c_0101_3, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t - 137644177333051/388224907518969600*c_1001_0^15 - 3247574386122071/388224907518969600*c_1001_0^13 + 14528711485003517/388224907518969600*c_1001_0^11 - 35908456369943851/194112453759484800*c_1001_0^9 + 122390340371857889/388224907518969600*c_1001_0^7 - 72440178311046111/129408302506323200*c_1001_0^5 + 644835835734419329/388224907518969600*c_1001_0^3 - 35646110473748419/388224907518969600*c_1001_0, c_0011_0 - 1, c_0011_3 + 1245272573561/7279217015980680*c_1001_0^15 + 31744191052621/7279217015980680*c_1001_0^13 - 79104409407407/7279217015980680*c_1001_0^11 + 165085914587021/3639608507990340*c_1001_0^9 + 259459914293047/2426405671993560*c_1001_0^7 - 2083026057645377/7279217015980680*c_1001_0^5 + 1954730767716461/7279217015980680*c_1001_0^3 - 3138566800007671/7279217015980680*c_1001_0, c_0011_4 + 120924035894/181980425399517*c_1001_0^14 + 2771320231405/181980425399517*c_1001_0^12 - 14943576191390/181980425399517*c_1001_0^10 + 66756914902627/181980425399517*c_1001_0^8 - 33270422431237/60660141799839*c_1001_0^6 + 69188524846165/181980425399517*c_1001_0^4 - 148864546432471/181980425399517*c_1001_0^2 + 292226724358043/181980425399517, c_0101_0 + 1, c_0101_1 + 80786450023/2426405671993560*c_1001_0^15 + 2102693938843/2426405671993560*c_1001_0^13 - 1796274749201/2426405671993560*c_1001_0^11 + 11829885969561/404400945332260*c_1001_0^9 - 184837688979037/2426405671993560*c_1001_0^7 + 1050374133955369/2426405671993560*c_1001_0^5 - 932068822940077/2426405671993560*c_1001_0^3 + 19636945171927/2426405671993560*c_1001_0, c_0101_3 - 90460649267/181980425399517*c_1001_0^14 - 1894190551057/181980425399517*c_1001_0^12 + 15407719908809/181980425399517*c_1001_0^10 - 68871372081460/181980425399517*c_1001_0^8 + 18373618423372/20220047266613*c_1001_0^6 - 128314754472352/181980425399517*c_1001_0^4 + 132348194561494/181980425399517*c_1001_0^2 - 272837976352523/181980425399517, c_1001_0^16 + 21*c_1001_0^14 - 167*c_1001_0^12 + 802*c_1001_0^10 - 1939*c_1001_0^8 + 2183*c_1001_0^6 - 1779*c_1001_0^4 + 2969*c_1001_0^2 - 3200 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB