Magma V2.19-8 Tue Aug 20 2013 23:40:58 on localhost [Seed = 1031494107] Type ? for help. Type -D to quit. Loading file "K12n444__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K12n444 geometric_solution 10.44200055 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 -1 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.122203544442 0.630100577657 0 2 6 5 0132 2310 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 0 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 0.465600553200 1.354530199340 7 0 8 1 0132 0132 0132 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0.866977612513 1.017710806237 6 9 8 0 0132 0132 1302 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.130024709079 0.845626457342 8 5 0 7 1302 0132 0132 3012 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 0 0 0 0 -1 1 0 -5 0 1 4 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.854591743873 1.149702147365 10 4 1 10 0132 0132 0132 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 1 -1 0 1 0 -1 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 0.198210970272 0.666838768658 3 11 10 1 0132 0132 2031 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 -1.137998275804 0.886617057966 2 8 4 9 0132 3201 1230 1023 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 5 -4 -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 0.647059654250 0.424038644856 3 4 7 2 2031 2031 2310 0132 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 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.444315882682 0.649160370999 11 3 11 7 0132 0132 3120 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.332350608601 0.836512532063 5 5 11 6 0132 1302 2031 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.590440650514 1.377875563240 9 6 9 10 0132 0132 3120 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.332350608601 0.836512532063 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_1001_0']), 'c_1001_10' : d['c_0101_10'], 'c_1001_5' : negation(d['c_0101_7']), 'c_1001_4' : d['c_0011_10'], 'c_1001_7' : negation(d['c_0101_8']), 'c_1001_6' : negation(d['c_0101_0']), 'c_1001_1' : negation(d['c_1001_0']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0101_2'], 'c_1001_2' : d['c_0011_10'], 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : negation(d['c_0101_11']), 'c_1010_11' : negation(d['c_0101_0']), 'c_1010_10' : d['c_1010_10'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_10'], '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_2_7' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : 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_9' : negation(d['c_0101_11']), 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_1010_10']), 'c_1100_4' : d['c_0101_8'], 'c_1100_7' : d['c_0101_11'], 'c_1100_6' : negation(d['c_1010_10']), 'c_1100_1' : negation(d['c_1010_10']), 'c_1100_0' : d['c_0101_8'], 'c_1100_3' : d['c_0101_8'], 'c_1100_2' : d['c_0011_0'], 's_3_11' : d['1'], 'c_1100_11' : d['c_0101_10'], 'c_1100_10' : d['c_0101_0'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0101_11'], 'c_1010_6' : negation(d['c_1001_0']), 'c_1010_5' : d['c_0011_10'], 'c_1010_4' : negation(d['c_0101_7']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0101_7']), 'c_1010_0' : d['c_0011_10'], 'c_1010_9' : d['c_0101_2'], 'c_1010_8' : d['c_0011_10'], 'c_1100_8' : d['c_0011_0'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 's_1_7' : 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_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_11']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : d['c_0011_10'], 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : negation(d['c_0011_11']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_11'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0101_10']), 'c_0110_10' : d['c_0101_0'], 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : negation(d['c_0011_8']), 'c_0101_3' : negation(d['c_0011_8']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_8']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0101_10']), 'c_0101_8' : d['c_0101_8'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_11'], 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_8']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : d['c_0101_10'], 'c_0110_4' : d['c_0101_11'], 'c_0110_7' : d['c_0101_2'], 'c_0110_6' : negation(d['c_0011_8'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_8, c_0101_0, c_0101_10, c_0101_11, c_0101_2, c_0101_7, c_0101_8, c_1001_0, c_1010_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 52211633001369275/796026723717907*c_1010_10^9 - 80967711149166225/796026723717907*c_1010_10^8 - 44913095733338683/796026723717907*c_1010_10^7 + 185083526614648643/796026723717907*c_1010_10^6 - 49499142350307988/796026723717907*c_1010_10^5 + 2831193301606486/72366065792537*c_1010_10^4 + 567368889901673166/796026723717907*c_1010_10^3 - 381832779981875571/796026723717907*c_1010_10^2 + 21475868425136679/27449197369583*c_1010_10 - 28087067157917991/72366065792537, c_0011_0 - 1, c_0011_10 - 909884042825/72366065792537*c_1010_10^9 + 1420439616000/72366065792537*c_1010_10^8 + 356464740024/72366065792537*c_1010_10^7 - 841378403168/72366065792537*c_1010_10^6 - 5246942967206/72366065792537*c_1010_10^5 - 544305978968/6578733253867*c_1010_10^4 - 1726336802980/72366065792537*c_1010_10^3 + 22735666536280/72366065792537*c_1010_10^2 - 442192283739/2495381579053*c_1010_10 - 1848873763027/6578733253867, c_0011_11 - 4889042319175/72366065792537*c_1010_10^9 + 10486576998200/72366065792537*c_1010_10^8 - 1224095862409/72366065792537*c_1010_10^7 - 13692604267676/72366065792537*c_1010_10^6 + 12862627550615/72366065792537*c_1010_10^5 - 1472236228049/6578733253867*c_1010_10^4 - 37336060935982/72366065792537*c_1010_10^3 + 80077880728985/72366065792537*c_1010_10^2 - 2968622075461/2495381579053*c_1010_10 + 11843852430111/6578733253867, c_0011_8 + 4942379381100/72366065792537*c_1010_10^9 - 9148231107425/72366065792537*c_1010_10^8 + 3456381450688/72366065792537*c_1010_10^7 + 14004323509255/72366065792537*c_1010_10^6 - 23679799371160/72366065792537*c_1010_10^5 + 1142004923867/6578733253867*c_1010_10^4 + 71093623317555/72366065792537*c_1010_10^3 - 57316262095343/72366065792537*c_1010_10^2 + 3433560209771/2495381579053*c_1010_10 - 4161467954877/6578733253867, c_0101_0 - 2052236564650/72366065792537*c_1010_10^9 + 475308704700/72366065792537*c_1010_10^8 + 6629863497853/72366065792537*c_1010_10^7 - 3106787395730/72366065792537*c_1010_10^6 - 16189241609944/72366065792537*c_1010_10^5 + 547450926948/6578733253867*c_1010_10^4 - 16226886835736/72366065792537*c_1010_10^3 - 25520469321222/72366065792537*c_1010_10^2 - 1128003100721/2495381579053*c_1010_10 - 63062138876/6578733253867, c_0101_10 - 3210352954975/72366065792537*c_1010_10^9 - 541735156400/72366065792537*c_1010_10^8 + 9826807586302/72366065792537*c_1010_10^7 - 2904983266366/72366065792537*c_1010_10^6 - 20762977412941/72366065792537*c_1010_10^5 - 770861090089/6578733253867*c_1010_10^4 - 9421041266001/72366065792537*c_1010_10^3 - 32923348401146/72366065792537*c_1010_10^2 - 659088256544/2495381579053*c_1010_10 - 1924097983484/6578733253867, c_0101_11 - 4942379381100/72366065792537*c_1010_10^9 + 9148231107425/72366065792537*c_1010_10^8 - 3456381450688/72366065792537*c_1010_10^7 - 14004323509255/72366065792537*c_1010_10^6 + 23679799371160/72366065792537*c_1010_10^5 - 1142004923867/6578733253867*c_1010_10^4 - 71093623317555/72366065792537*c_1010_10^3 + 57316262095343/72366065792537*c_1010_10^2 - 3433560209771/2495381579053*c_1010_10 + 4161467954877/6578733253867, c_0101_2 - 2543540946525/72366065792537*c_1010_10^9 + 11728662485950/72366065792537*c_1010_10^8 - 6614002218022/72366065792537*c_1010_10^7 - 25781022764180/72366065792537*c_1010_10^6 + 26864845261230/72366065792537*c_1010_10^5 + 1373027812506/6578733253867*c_1010_10^4 - 26305857776905/72366065792537*c_1010_10^3 + 83596852373802/72366065792537*c_1010_10^2 - 1292986674715/2495381579053*c_1010_10 + 4770378388468/6578733253867, c_0101_7 - 1633656903700/72366065792537*c_1010_10^9 + 10308222869950/72366065792537*c_1010_10^8 - 6970466958046/72366065792537*c_1010_10^7 - 24939644361012/72366065792537*c_1010_10^6 + 32111788228436/72366065792537*c_1010_10^5 + 1917333791474/6578733253867*c_1010_10^4 - 24579520973925/72366065792537*c_1010_10^3 + 60861185837522/72366065792537*c_1010_10^2 - 850794390976/2495381579053*c_1010_10 + 40518897628/6578733253867, c_0101_8 + 10844489351625/72366065792537*c_1010_10^9 - 15364768068475/72366065792537*c_1010_10^8 - 4883630785370/72366065792537*c_1010_10^7 + 29647466794987/72366065792537*c_1010_10^6 - 23413427685189/72366065792537*c_1010_10^5 + 2354593324097/6578733253867*c_1010_10^4 + 146278427719062/72366065792537*c_1010_10^3 - 67102723820685/72366065792537*c_1010_10^2 + 4449882104114/2495381579053*c_1010_10 - 3526697531381/6578733253867, c_1001_0 + 332717233375/2495381579053*c_1010_10^9 - 608560167950/2495381579053*c_1010_10^8 - 29052331580/2495381579053*c_1010_10^7 + 933459950374/2495381579053*c_1010_10^6 - 811674293358/2495381579053*c_1010_10^5 + 130226949455/226852870823*c_1010_10^4 + 3380010872577/2495381579053*c_1010_10^3 - 4762775114201/2495381579053*c_1010_10^2 + 5794514731875/2495381579053*c_1010_10 - 551793228839/226852870823, c_1010_10^10 - 2*c_1010_10^9 + 2/25*c_1010_10^8 + 92/25*c_1010_10^7 - 73/25*c_1010_10^6 + 44/25*c_1010_10^5 + 54/5*c_1010_10^4 - 304/25*c_1010_10^3 + 448/25*c_1010_10^2 - 286/25*c_1010_10 + 121/25 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 1.800 Total time: 2.000 seconds, Total memory usage: 64.12MB