Magma V2.19-8 Wed Aug 21 2013 00:05:20 on localhost [Seed = 1208886980] Type ? for help. Type -D to quit. Loading file "L9a6__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L9a6 geometric_solution 11.29496914 oriented_manifold CS_known -0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 1 2 3 0132 1230 0132 0132 0 0 1 1 0 0 1 -1 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 1 0 -1 -1 0 0 1 0 1 0 -1 0 -6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.453487024088 0.937872700339 0 4 0 5 0132 0132 3012 0132 1 0 1 1 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 -6 6 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 0.582138079378 0.864195152332 6 4 7 0 0132 1230 0132 0132 0 0 1 1 0 1 0 -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 -1 0 0 0 0 0 -1 7 0 -6 0 6 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.592051482148 1.006161812373 6 8 0 9 3120 0132 0132 0132 0 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 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 -1 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 0.450498495469 1.191840545907 10 1 2 10 0132 0132 3012 2031 1 0 1 1 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 6 -6 0 1 0 -1 0 0 -1 0 1 7 0 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.463822026698 0.795966492708 8 6 1 9 2031 2103 0132 2031 1 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 0 0 0.633180783210 0.221836082139 2 5 8 3 0132 2103 2031 3120 1 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.909950514481 0.835436660554 11 11 10 2 0132 1302 1023 0132 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 0 0 0 -1 0 1 0 0 0 0 1 -7 0 6 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.456475552708 0.683904854771 11 3 5 6 1230 0132 1302 1302 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 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.134156560399 0.436207133089 11 5 3 10 2103 1302 0132 1023 0 0 1 1 0 0 1 -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 0 1 -1 1 0 -1 0 7 0 0 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.518491843502 0.546584623480 4 4 7 9 0132 1302 1023 1023 0 0 1 1 0 0 0 0 -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 0 0 0 -1 0 0 1 -7 0 0 7 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.453487024088 0.937872700339 7 8 9 7 0132 3012 2103 2031 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 0 0 0 0 0 0 0 0 0 0 0 0 -7 7 0 0 -1 1 0 1 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.712216785318 0.896166712565 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_3'], 'c_1001_10' : d['c_0101_10'], 'c_1001_5' : negation(d['c_0011_2']), 'c_1001_4' : negation(d['c_0011_2']), 'c_1001_7' : d['c_0101_10'], 'c_1001_6' : negation(d['c_0011_11']), 'c_1001_1' : negation(d['c_0011_0']), 'c_1001_0' : d['c_0101_4'], 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : d['c_0110_9'], 'c_1001_9' : d['c_0110_5'], 'c_1001_8' : d['c_0110_5'], 'c_1010_11' : negation(d['c_0011_11']), 'c_1010_10' : d['c_0110_9'], 's_0_10' : d['1'], 's_0_11' : 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_0011_11' : d['c_0011_11'], 'c_0011_10' : negation(d['c_0011_0']), 'c_1100_5' : negation(d['c_0101_4']), 'c_1100_4' : negation(d['c_0110_9']), 'c_1100_7' : d['c_1100_0'], 'c_1100_6' : negation(d['c_0101_1']), 'c_1100_1' : negation(d['c_0101_4']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_1100_0'], 's_3_11' : d['1'], 'c_1100_9' : d['c_1100_0'], 'c_1100_11' : negation(d['c_0110_9']), 'c_1100_10' : negation(d['c_1100_0']), 's_3_10' : d['1'], 'c_1010_7' : d['c_0110_9'], 'c_1010_6' : negation(d['c_0011_3']), 'c_1010_5' : d['c_0011_3'], 'c_1010_4' : negation(d['c_0011_0']), 'c_1010_3' : d['c_0110_5'], 'c_1010_2' : d['c_0101_4'], 'c_1010_1' : negation(d['c_0011_2']), 'c_1010_0' : d['c_0101_1'], 'c_1010_9' : d['c_0101_4'], 'c_1010_8' : d['c_0101_1'], 'c_1100_8' : d['c_0101_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' : d['c_0011_3'], 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : negation(d['c_0011_11']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_11']), 'c_0011_6' : negation(d['c_0011_2']), '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' : d['c_0011_2'], 'c_0110_11' : d['c_0101_10'], 'c_0110_10' : d['c_0101_4'], 'c_0101_7' : d['c_0101_10'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_11'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_11'], 'c_0101_8' : d['c_0011_11'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0110_9'], 'c_0110_8' : d['c_0011_11'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_11'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_11'], 'c_0110_6' : d['c_0101_11']})} 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_11, c_0011_2, c_0011_3, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_4, c_0110_5, c_0110_9, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 14105792931675429642/49849967814222565*c_1100_0^9 + 849188855304137259313/49849967814222565*c_1100_0^8 - 12795383445714976855583/49849967814222565*c_1100_0^7 - 21140558231636005464507/19939987125689026*c_1100_0^6 - 2267348586029145945948/1718964407386985*c_1100_0^5 - 21910301497841358405622/49849967814222565*c_1100_0^4 - 28876096705746880871969/99699935628445130*c_1100_0^3 - 11205826113417954377391/99699935628445130*c_1100_0^2 - 837764928204919088906/49849967814222565*c_1100_0 - 18105633669465843841/19939987125689026, c_0011_0 - 1, c_0011_11 - 615344716127562/586470209579089*c_1100_0^9 + 36988147208172976/586470209579089*c_1100_0^8 - 554784863891540223/586470209579089*c_1100_0^7 - 2356484844413409164/586470209579089*c_1100_0^6 - 3084945729833243114/586470209579089*c_1100_0^5 - 1234927272370440790/586470209579089*c_1100_0^4 - 727995998511071313/586470209579089*c_1100_0^3 - 295723103101599864/586470209579089*c_1100_0^2 - 62665858573413386/586470209579089*c_1100_0 - 4561948705029662/586470209579089, c_0011_2 + 801645701523589/2932351047895445*c_1100_0^9 - 48111763775604686/2932351047895445*c_1100_0^8 + 718242402384528851/2932351047895445*c_1100_0^7 + 21640796935783908/20223110675141*c_1100_0^6 + 4298589912762928859/2932351047895445*c_1100_0^5 + 1948645471889624604/2932351047895445*c_1100_0^4 + 1044108040986831564/2932351047895445*c_1100_0^3 + 447875430469472266/2932351047895445*c_1100_0^2 + 112754950091016147/2932351047895445*c_1100_0 + 1790516297335158/586470209579089, c_0011_3 - 3301853299346018/2932351047895445*c_1100_0^9 + 198412232712927302/2932351047895445*c_1100_0^8 - 102525282546730413/101115553375705*c_1100_0^7 - 2539903234264870594/586470209579089*c_1100_0^6 - 16787004159486516768/2932351047895445*c_1100_0^5 - 6936496441716136028/2932351047895445*c_1100_0^4 - 4043458507458983708/2932351047895445*c_1100_0^3 - 1674762450980716732/2932351047895445*c_1100_0^2 - 365028198041700899/2932351047895445*c_1100_0 - 5395277256807578/586470209579089, c_0101_0 - 1, c_0101_1 - 565645231401212/2932351047895445*c_1100_0^9 + 34052945833349634/2932351047895445*c_1100_0^8 - 513134091129481242/2932351047895445*c_1100_0^7 - 2117948985343832451/2932351047895445*c_1100_0^6 - 2653009989743870202/2932351047895445*c_1100_0^5 - 940991508065997186/2932351047895445*c_1100_0^4 - 643073761423516051/2932351047895445*c_1100_0^3 - 232756152890629287/2932351047895445*c_1100_0^2 - 1778047547867033/101115553375705*c_1100_0 - 3238849775423847/2932351047895445, c_0101_10 - 18569766560388/586470209579089*c_1100_0^9 + 5666262652548557/2932351047895445*c_1100_0^8 - 88843365651924458/2932351047895445*c_1100_0^7 - 277964219185055202/2932351047895445*c_1100_0^6 - 30364711108324240/586470209579089*c_1100_0^5 + 186865413490232712/2932351047895445*c_1100_0^4 - 8248576519480673/2932351047895445*c_1100_0^3 + 31922966748718137/2932351047895445*c_1100_0^2 + 20168087583391848/2932351047895445*c_1100_0 + 3023718922889091/2932351047895445, c_0101_11 + 902612726738221/2932351047895445*c_1100_0^9 - 54357124557227161/2932351047895445*c_1100_0^8 + 819883279590604957/2932351047895445*c_1100_0^7 + 3364744146277550617/2932351047895445*c_1100_0^6 + 4143185819408566616/2932351047895445*c_1100_0^5 + 1328733765103054839/2932351047895445*c_1100_0^4 + 895400972827803194/2932351047895445*c_1100_0^3 + 324330245608984737/2932351047895445*c_1100_0^2 + 11013372844982106/586470209579089*c_1100_0 - 421390963629741/2932351047895445, c_0101_4 + 31405848360329/586470209579089*c_1100_0^9 - 9448582632220148/2932351047895445*c_1100_0^8 + 142162277719589877/2932351047895445*c_1100_0^7 + 592109923025615608/2932351047895445*c_1100_0^6 + 5235853886665536/20223110675141*c_1100_0^5 + 299947269453966762/2932351047895445*c_1100_0^4 + 199082852689327062/2932351047895445*c_1100_0^3 + 63113527757204497/2932351047895445*c_1100_0^2 + 17142971605014698/2932351047895445*c_1100_0 - 724837160492924/2932351047895445, c_0110_5 - 225129718708208/2932351047895445*c_1100_0^9 + 13471496672062422/2932351047895445*c_1100_0^8 - 199308874397480862/2932351047895445*c_1100_0^7 - 183418389851461430/586470209579089*c_1100_0^6 - 1362275510320301198/2932351047895445*c_1100_0^5 - 761860079863932078/2932351047895445*c_1100_0^4 - 403478514903627143/2932351047895445*c_1100_0^3 - 196146935472717412/2932351047895445*c_1100_0^2 - 51698905174633969/2932351047895445*c_1100_0 - 1419798761357005/586470209579089, c_0110_9 + 88068563028656/266577367990495*c_1100_0^9 - 1059751435790872/53315473598099*c_1100_0^8 + 79702012498324973/266577367990495*c_1100_0^7 + 332704494327192616/266577367990495*c_1100_0^6 + 423333441458681511/266577367990495*c_1100_0^5 + 31067668560624964/53315473598099*c_1100_0^4 + 19660600821176724/53315473598099*c_1100_0^3 + 37276238997569288/266577367990495*c_1100_0^2 + 7600604596513744/266577367990495*c_1100_0 + 302686751293392/266577367990495, c_1100_0^10 - 60*c_1100_0^9 + 895*c_1100_0^8 + 3928*c_1100_0^7 + 5439*c_1100_0^6 + 2580*c_1100_0^5 + 1432*c_1100_0^4 + 620*c_1100_0^3 + 161*c_1100_0^2 + 20*c_1100_0 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.250 seconds, Total memory usage: 32.09MB