Magma V2.19-8 Tue Aug 20 2013 16:14:46 on localhost [Seed = 2067457821] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s756 geometric_solution 5.29365272 oriented_manifold CS_known -0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 6 0 0 1 1 1230 3012 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 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 1.599289810978 0.511992974909 0 2 3 0 3201 0132 0132 0132 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 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 0.757558371653 0.514831083783 4 1 3 5 0132 0132 1302 0132 0 0 0 0 0 1 0 -1 -1 0 0 1 -1 0 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 -1 0 0 1 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.537431946872 0.557982369663 2 5 4 1 2031 2310 1023 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 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 0.537431946872 0.557982369663 2 4 3 4 0132 1302 1023 2031 0 0 0 0 0 0 0 0 1 0 -1 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 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 0.583231700283 0.930309967118 5 5 2 3 1230 3012 0132 3201 0 0 0 0 0 -1 1 0 0 0 -1 1 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 -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 0.586286336183 0.829125670273 ==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' : negation(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' : negation(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' : negation(d['c_0011_3']), 'c_1100_4' : negation(d['c_0011_1']), 'c_1100_1' : d['c_0011_1'], 'c_1100_0' : d['c_0011_1'], 'c_1100_3' : d['c_0011_1'], 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_5' : d['c_0101_4'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_3']), 'c_0101_2' : negation(d['c_0011_3']), 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_1'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : negation(d['c_0011_5']), 'c_1001_4' : negation(d['c_0011_3']), 'c_1001_1' : negation(d['c_0011_5']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0101_4'], 'c_1001_2' : negation(d['c_0011_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : negation(d['c_0011_0']), 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : d['c_0011_5'], 'c_0110_4' : negation(d['c_0011_3']), 'c_1010_5' : negation(d['c_0101_4']), 'c_1010_4' : d['c_0011_1'], 'c_1010_3' : negation(d['c_0011_5']), 'c_1010_2' : negation(d['c_0011_5']), 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(d['c_0101_0'])})} 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_1, c_0011_3, c_0011_5, c_0101_0, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 19 Groebner basis: [ t + 4025090880928229/8336010082216*c_0101_4^18 + 50242311935412051/8336010082216*c_0101_4^17 + 257686226272280691/8336010082216*c_0101_4^16 + 550932477472378759/8336010082216*c_0101_4^15 + 120740436776091021/8336010082216*c_0101_4^14 - 139175450975049917/1042001260277*c_0101_4^13 - 1000641631342675599/8336010082216*c_0101_4^12 - 61883345015456682/1042001260277*c_0101_4^11 - 2391035435678490467/8336010082216*c_0101_4^10 - 1336934745463390431/8336010082216*c_0101_4^9 + 1205683431220362879/4168005041108*c_0101_4^8 + 550747709390626585/8336010082216*c_0101_4^7 - 1140450871178898815/8336010082216*c_0101_4^6 + 865088417328117887/8336010082216*c_0101_4^5 + 529658740887446361/8336010082216*c_0101_4^4 - 140148790490764219/2084002520554*c_0101_4^3 - 59228561602684437/4168005041108*c_0101_4^2 + 83166549802953701/8336010082216*c_0101_4 + 8263367028205643/8336010082216, c_0011_0 - 1, c_0011_1 - 20169151453389/16672020164432*c_0101_4^18 - 236344887338477/16672020164432*c_0101_4^17 - 1090216580356887/16672020164432*c_0101_4^16 - 1660858943915749/16672020164432*c_0101_4^15 + 2127108844018255/16672020164432*c_0101_4^14 + 3803802589529741/8336010082216*c_0101_4^13 + 1975590986269517/16672020164432*c_0101_4^12 - 747559891622221/4168005041108*c_0101_4^11 + 6914694865790855/16672020164432*c_0101_4^10 - 5469446100921895/16672020164432*c_0101_4^9 - 12084846760629145/8336010082216*c_0101_4^8 - 692763194446733/16672020164432*c_0101_4^7 + 8607812309663013/16672020164432*c_0101_4^6 - 6986509302063131/16672020164432*c_0101_4^5 - 750350218720667/16672020164432*c_0101_4^4 + 1456501183271417/4168005041108*c_0101_4^3 + 97475712765143/8336010082216*c_0101_4^2 - 1006629487431657/16672020164432*c_0101_4 - 53711610791381/16672020164432, c_0011_3 - 8904590334521/16672020164432*c_0101_4^18 - 98993102600839/16672020164432*c_0101_4^17 - 410486516617183/16672020164432*c_0101_4^16 - 337369475472799/16672020164432*c_0101_4^15 + 1967484769760895/16672020164432*c_0101_4^14 + 534370776841717/2084002520554*c_0101_4^13 + 9791284114563/16672020164432*c_0101_4^12 - 853974075997693/4168005041108*c_0101_4^11 + 829541187793011/16672020164432*c_0101_4^10 - 7049046350555017/16672020164432*c_0101_4^9 - 7890168367430837/8336010082216*c_0101_4^8 - 697634908524117/16672020164432*c_0101_4^7 + 4842025504436951/16672020164432*c_0101_4^6 - 3662441536314067/16672020164432*c_0101_4^5 + 100027885222603/16672020164432*c_0101_4^4 + 930628023217741/4168005041108*c_0101_4^3 + 130222174059591/8336010082216*c_0101_4^2 - 659846106916969/16672020164432*c_0101_4 - 96661087966059/16672020164432, c_0011_5 + 6342879658497/980707068496*c_0101_4^18 + 79446391962591/980707068496*c_0101_4^17 + 409518720876923/980707068496*c_0101_4^16 + 886207616282827/980707068496*c_0101_4^15 + 230740859552633/980707068496*c_0101_4^14 - 108651738470155/61294191781*c_0101_4^13 - 1646461677455815/980707068496*c_0101_4^12 - 214600509900399/245176767124*c_0101_4^11 - 3820846177905227/980707068496*c_0101_4^10 - 2283412766516495/980707068496*c_0101_4^9 + 1839266905877311/490353534248*c_0101_4^8 + 998299285461721/980707068496*c_0101_4^7 - 1746294411572899/980707068496*c_0101_4^6 + 1310219840185691/980707068496*c_0101_4^5 + 890512866112901/980707068496*c_0101_4^4 - 105514619535469/122588383562*c_0101_4^3 - 105907414375821/490353534248*c_0101_4^2 + 122475195665741/980707068496*c_0101_4 + 14600469730719/980707068496, c_0101_0 - 187176441749289/8336010082216*c_0101_4^18 - 293571390011562/1042001260277*c_0101_4^17 - 12141547329789857/8336010082216*c_0101_4^16 - 6621097745693369/2084002520554*c_0101_4^15 - 7750445737514615/8336010082216*c_0101_4^14 + 50226930309557877/8336010082216*c_0101_4^13 + 24485041256897113/4168005041108*c_0101_4^12 + 6828081080261265/2084002520554*c_0101_4^11 + 115157976264343687/8336010082216*c_0101_4^10 + 35839396470140843/4168005041108*c_0101_4^9 - 51458428462867695/4168005041108*c_0101_4^8 - 27483826248029795/8336010082216*c_0101_4^7 + 6331232265122379/1042001260277*c_0101_4^6 - 38400546914088721/8336010082216*c_0101_4^5 - 13116210978341377/4168005041108*c_0101_4^4 + 2971249789008797/1042001260277*c_0101_4^3 + 2892248319234151/4168005041108*c_0101_4^2 - 3403974413555691/8336010082216*c_0101_4 - 165292846813777/4168005041108, c_0101_4^19 + 12*c_0101_4^18 + 58*c_0101_4^17 + 106*c_0101_4^16 - 36*c_0101_4^15 - 291*c_0101_4^14 - 115*c_0101_4^13 - 3*c_0101_4^12 - 535*c_0101_4^11 - 46*c_0101_4^10 + 759*c_0101_4^9 - 153*c_0101_4^8 - 350*c_0101_4^7 + 352*c_0101_4^6 + 28*c_0101_4^5 - 203*c_0101_4^4 + 38*c_0101_4^3 + 35*c_0101_4^2 - 8*c_0101_4 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB