Magma V2.19-8 Tue Aug 20 2013 16:17:19 on localhost [Seed = 1494795662] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1552 geometric_solution 5.34241270 oriented_manifold CS_known -0.0000000000000002 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 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 0 0 0.274003602352 1.278782253833 0 2 5 2 0132 2031 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 0.499288476549 0.621429907341 1 0 1 3 1302 0132 1230 1230 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 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -3.263150184070 0.064643715256 2 6 6 0 3012 0132 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.231467468874 0.563898248527 6 4 0 4 3201 1302 0132 2031 0 0 0 0 0 0 1 -1 0 0 0 0 0 1 0 -1 0 1 -1 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 0 1 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.322440128761 1.081314380226 5 5 6 1 1230 3012 1302 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 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 1.214293196601 0.977915031024 5 3 3 4 2031 0132 1023 2310 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 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 0.342319847115 0.450506642992 ==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_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' : d['1'], 's_1_0' : 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' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : d['c_0011_4'], 'c_1100_5' : d['c_0101_6'], 'c_1100_4' : negation(d['c_0011_4']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0101_6'], 'c_1100_0' : negation(d['c_0011_4']), 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : d['c_0101_0'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0011_3'], 'c_0101_4' : d['c_0011_5'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_0'], 'c_0101_1' : d['c_0011_5'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(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' : negation(d['c_0011_5']), 'c_1001_4' : negation(d['c_0101_6']), 'c_1001_6' : d['c_0101_3'], 'c_1001_1' : negation(d['c_0011_3']), 'c_1001_0' : d['c_0101_3'], 'c_1001_3' : d['c_0101_6'], 'c_1001_2' : negation(d['c_0101_6']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_5'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_3'], 'c_0110_5' : d['c_0011_5'], 'c_0110_4' : negation(d['c_0101_6']), 'c_0110_6' : negation(d['c_0011_5']), 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : negation(d['c_0011_3']), 'c_1010_4' : d['c_0011_4'], 'c_1010_3' : d['c_0101_3'], 'c_1010_2' : d['c_0101_3'], 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(d['c_0101_6'])})} 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_0011_5, c_0101_0, c_0101_3, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t + 4568414334876/936953142067*c_0101_6^14 - 2262381255471/936953142067*c_0101_6^13 - 61946659147267/936953142067*c_0101_6^12 - 16779322587942/936953142067*c_0101_6^11 + 202647546863262/936953142067*c_0101_6^10 + 266130956552407/936953142067*c_0101_6^9 + 69877431803682/936953142067*c_0101_6^8 - 193245292593193/936953142067*c_0101_6^7 + 37457813333902/936953142067*c_0101_6^6 + 321517750589312/936953142067*c_0101_6^5 + 69512382450710/936953142067*c_0101_6^4 - 102694904472909/936953142067*c_0101_6^3 - 107182582317790/936953142067*c_0101_6^2 - 3670158394163/936953142067*c_0101_6 + 2465126546614/936953142067, c_0011_0 - 1, c_0011_3 - 99925113702/936953142067*c_0101_6^14 + 167220046789/936953142067*c_0101_6^13 + 1234891614406/936953142067*c_0101_6^12 - 1172731881764/936953142067*c_0101_6^11 - 4029494177920/936953142067*c_0101_6^10 - 726210332479/936953142067*c_0101_6^9 + 2355741995741/936953142067*c_0101_6^8 + 3488341890409/936953142067*c_0101_6^7 - 4905493328305/936953142067*c_0101_6^6 - 2470842166382/936953142067*c_0101_6^5 + 6060800317213/936953142067*c_0101_6^4 + 1048598821485/936953142067*c_0101_6^3 + 880523447131/936953142067*c_0101_6^2 - 586828485795/936953142067*c_0101_6 + 924148516561/936953142067, c_0011_4 + 166926782571/936953142067*c_0101_6^14 - 192439193419/936953142067*c_0101_6^13 - 2108335993861/936953142067*c_0101_6^12 + 775081975499/936953142067*c_0101_6^11 + 6487513344919/936953142067*c_0101_6^10 + 5153458986779/936953142067*c_0101_6^9 + 512086144956/936953142067*c_0101_6^8 - 5107140547022/936953142067*c_0101_6^7 + 5710662129280/936953142067*c_0101_6^6 + 6729011387813/936953142067*c_0101_6^5 - 2418067896906/936953142067*c_0101_6^4 + 493752559748/936953142067*c_0101_6^3 - 2498754606447/936953142067*c_0101_6^2 + 888097483768/936953142067*c_0101_6 - 901385155397/936953142067, c_0011_5 - 117416231788/936953142067*c_0101_6^14 + 224136085830/936953142067*c_0101_6^13 + 1434164711073/936953142067*c_0101_6^12 - 1743000948038/936953142067*c_0101_6^11 - 4794654555291/936953142067*c_0101_6^10 + 246260480940/936953142067*c_0101_6^9 + 4202625082663/936953142067*c_0101_6^8 + 4969326099765/936953142067*c_0101_6^7 - 6470313624608/936953142067*c_0101_6^6 - 2722094306508/936953142067*c_0101_6^5 + 7614269632993/936953142067*c_0101_6^4 - 476993762494/936953142067*c_0101_6^3 + 1440710859084/936953142067*c_0101_6^2 - 1158063940841/936953142067*c_0101_6 + 842925666186/936953142067, c_0101_0 + 190189608607/936953142067*c_0101_6^14 - 251317203771/936953142067*c_0101_6^13 - 2385446064559/936953142067*c_0101_6^12 + 1347127567562/936953142067*c_0101_6^11 + 7445749341824/936953142067*c_0101_6^10 + 4057607097838/936953142067*c_0101_6^9 - 812672920329/936953142067*c_0101_6^8 - 4823281417996/936953142067*c_0101_6^7 + 7687527177028/936953142067*c_0101_6^6 + 6037597355404/936953142067*c_0101_6^5 - 6642839656522/936953142067*c_0101_6^4 + 1446380552326/936953142067*c_0101_6^3 - 1438103856122/936953142067*c_0101_6^2 - 677239461482/936953142067*c_0101_6 - 876877368510/936953142067, c_0101_3 - 257484541694/936953142067*c_0101_6^14 + 315452067491/936953142067*c_0101_6^13 + 3258402605217/936953142067*c_0101_6^12 - 1514488165126/936953142067*c_0101_6^11 - 10216917988915/936953142067*c_0101_6^10 - 6413349093579/936953142067*c_0101_6^9 + 621859782086/936953142067*c_0101_6^8 + 6531171107837/936953142067*c_0101_6^7 - 10512716036852/936953142067*c_0101_6^6 - 10499595853385/936953142067*c_0101_6^5 + 6393641744653/936953142067*c_0101_6^4 - 1327652862437/936953142067*c_0101_6^3 + 1825082114513/936953142067*c_0101_6^2 + 52866286027/936953142067*c_0101_6 + 976802482212/936953142067, c_0101_6^15 - c_0101_6^14 - 13*c_0101_6^13 + 3*c_0101_6^12 + 42*c_0101_6^11 + 35*c_0101_6^10 - 33*c_0101_6^8 + 32*c_0101_6^7 + 53*c_0101_6^6 - 16*c_0101_6^5 - 8*c_0101_6^4 - 10*c_0101_6^3 + 2*c_0101_6^2 - 3*c_0101_6 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB