Magma V2.19-8 Tue Aug 20 2013 23:53:33 on localhost [Seed = 4138769675] Type ? for help. Type -D to quit. Loading file "L13n6573__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n6573 geometric_solution 10.84801330 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 0 0 1 1 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 -1 1 0 0 0 0 1 -2 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.554948106307 0.674048457190 0 5 7 6 0132 0132 0132 0132 0 0 1 1 0 0 -1 1 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 2 -2 0 0 1 -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 0.842146634742 0.651879511278 3 0 9 8 1023 0132 0132 0132 0 0 1 1 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 1 0 -1 0 0 -1 0 1 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.196084507940 1.423954557368 10 2 7 0 0132 1023 3012 0132 0 0 1 1 0 0 0 0 -1 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 0 -1 0 1 2 0 -2 0 0 0 0 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.416411084892 0.271391618561 11 5 0 6 0132 0213 0132 0213 0 0 0 1 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 -1 2 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 0.720373964968 0.839866797585 10 1 4 8 1023 0132 0213 2031 0 0 1 1 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 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 0.985302396431 1.284560307662 10 9 1 4 2103 0132 0132 0213 0 0 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 0 0 0 0 0 2 -2 -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 0.766569965560 0.713525759449 11 3 9 1 3120 1230 3120 0132 0 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 0 0 0 0 0 0 0 0 2 0 -2 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 0.581956087920 0.497815401976 10 5 2 11 3012 1302 0132 0132 0 0 0 1 0 0 0 0 0 0 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 -1 1 0 0 2 -1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.083541527092 0.584087759783 11 6 7 2 1023 0132 3120 0132 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 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 0.083541527092 0.584087759783 3 5 6 8 0132 1023 2103 1230 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 -2 0 1 1 2 0 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.027949301332 0.929406940200 4 9 8 7 0132 1023 0132 3120 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.861443400445 0.972351697034 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_9'], 'c_1001_10' : negation(d['c_0011_11']), 'c_1001_5' : d['c_1001_2'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_1001_7'], 'c_1001_6' : d['c_1001_2'], 'c_1001_1' : d['c_0011_8'], 'c_1001_0' : d['c_0101_8'], 'c_1001_3' : negation(d['c_0011_7']), 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_1001_7']), 'c_1001_8' : d['c_0101_8'], 'c_1010_11' : negation(d['c_0011_7']), 'c_1010_10' : d['c_0101_8'], '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_0'], '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_1100_8' : negation(d['c_0101_7']), 'c_1100_5' : negation(d['c_0101_9']), 'c_1100_4' : negation(d['c_1001_7']), 'c_1100_7' : negation(d['c_0101_9']), 'c_1100_6' : negation(d['c_0101_9']), 'c_1100_1' : negation(d['c_0101_9']), 'c_1100_0' : negation(d['c_1001_7']), 'c_1100_3' : negation(d['c_1001_7']), 'c_1100_2' : negation(d['c_0101_7']), 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0101_7']), 'c_1100_10' : d['c_0101_11'], 's_3_10' : d['1'], 'c_1010_7' : d['c_0011_8'], 'c_1010_6' : negation(d['c_1001_7']), 'c_1010_5' : d['c_0011_8'], 'c_1010_4' : negation(d['c_0101_9']), 'c_1010_3' : d['c_0101_8'], 'c_1010_2' : d['c_0101_8'], 'c_1010_1' : d['c_1001_2'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_2'], 'c_1010_8' : d['c_0101_9'], '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_11'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_11']), 'c_0011_7' : d['c_0011_7'], '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' : negation(d['c_0011_0']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_1'], 'c_0110_10' : d['c_0011_8'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0011_11']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0011_8'], 'c_0101_2' : negation(d['c_0011_7']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0101_8'], 'c_0011_10' : d['c_0011_0'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_7']), 'c_0110_8' : d['c_0101_11'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0101_7']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_8'], 'c_0110_5' : d['c_0101_8'], 'c_0110_4' : d['c_0101_11'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : negation(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_7, c_0011_8, c_0101_0, c_0101_1, c_0101_11, c_0101_7, c_0101_8, c_0101_9, c_1001_2, c_1001_7 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t - 779740378502941438205247722050599050/469257190351758786343385891781\ *c_1001_7^8 - 4766884064942908555259801560160330081/140777157105527\ 6359030157675343*c_1001_7^7 + 4323384396697399673684058168348958206\ 7/38009832418492461693814257234261*c_1001_7^6 + 150335623064369454845160053111081717170/422331471316582907709047302\ 6029*c_1001_7^5 + 4123566682583564199323093076491951795932/38009832\ 418492461693814257234261*c_1001_7^4 + 1716219996015435212697192474404138955569/12669944139497487231271419\ 078087*c_1001_7^3 + 2819540356682713883553502084043553398710/380098\ 32418492461693814257234261*c_1001_7^2 + 602619308863095718347115749827692585915/380098324184924616938142572\ 34261*c_1001_7 + 6261285200493014778148915637796949241/422331471316\ 5829077090473026029, c_0011_0 - 1, c_0011_11 - 88080459249788760285225/26824180088798181753937*c_1001_7^8 - 83361301809347387037939/26824180088798181753937*c_1001_7^7 + 1333849038831768174786019/241417620799183635785433*c_1001_7^6 + 1727120799388868678862168/26824180088798181753937*c_1001_7^5 + 34873698401769814311932989/241417620799183635785433*c_1001_7^4 + 9012260683363169260702556/80472540266394545261811*c_1001_7^3 + 6256600503933416954665729/241417620799183635785433*c_1001_7^2 - 192280197523930844539808/241417620799183635785433*c_1001_7 - 10600783473251650890740/26824180088798181753937, c_0011_7 - 14823667219960763354475/26824180088798181753937*c_1001_7^8 - 27759034516203053478984/26824180088798181753937*c_1001_7^7 + 179776189435054212947384/241417620799183635785433*c_1001_7^6 + 309793124314615957332404/26824180088798181753937*c_1001_7^5 + 8175480645720302294738546/241417620799183635785433*c_1001_7^4 + 2910869740171814607146245/80472540266394545261811*c_1001_7^3 + 562371801602664619969508/34488231542740519397919*c_1001_7^2 + 1085652491017874820904712/241417620799183635785433*c_1001_7 + 2861248423401314235259/3832025726971168821991, c_0011_8 + 25797692527837586923725/3832025726971168821991*c_1001_7^8 + 344382508261949735262603/26824180088798181753937*c_1001_7^7 - 1292220534156788941812524/241417620799183635785433*c_1001_7^6 - 3828942886856210340238481/26824180088798181753937*c_1001_7^5 - 102016774539354464222368307/241417620799183635785433*c_1001_7^4 - 41167311146939665228704028/80472540266394545261811*c_1001_7^3 - 65785928105133066655815353/241417620799183635785433*c_1001_7^2 - 1913294888437591903498976/34488231542740519397919*c_1001_7 - 115225841496214347195814/26824180088798181753937, c_0101_0 - 1, c_0101_1 - 263208733461041435679375/26824180088798181753937*c_1001_7^8 - 546676989585653885904975/26824180088798181753937*c_1001_7^7 + 1412408118185637399227942/241417620799183635785433*c_1001_7^6 + 807401044123466957633150/3832025726971168821991*c_1001_7^5 + 156686321949749148563492519/241417620799183635785433*c_1001_7^4 + 66480615333806155847836456/80472540266394545261811*c_1001_7^3 + 112827494484780604371646187/241417620799183635785433*c_1001_7^2 + 25268344562458398181117637/241417620799183635785433*c_1001_7 + 239048167581549813674795/26824180088798181753937, c_0101_11 + 9100986608379264769350/3832025726971168821991*c_1001_7^8 + 160660545505851499255578/26824180088798181753937*c_1001_7^7 - 25333501901813538894614/18570586215321818137341*c_1001_7^6 - 1422967741576840903784742/26824180088798181753937*c_1001_7^5 - 42518347978777975456308893/241417620799183635785433*c_1001_7^4 - 18421708423083269477561083/80472540266394545261811*c_1001_7^3 - 28727871629345117551029083/241417620799183635785433*c_1001_7^2 - 700919587177001901783296/34488231542740519397919*c_1001_7 - 39068808519045012595494/26824180088798181753937, c_0101_7 - 21754483701741254964600/26824180088798181753937*c_1001_7^8 + 16501063129539786071286/26824180088798181753937*c_1001_7^7 + 654171465258478006669463/241417620799183635785433*c_1001_7^6 + 50883657761958847046488/3832025726971168821991*c_1001_7^5 + 2103666687944919553781258/241417620799183635785433*c_1001_7^4 - 2680666711984794154982390/80472540266394545261811*c_1001_7^3 - 8803210410461793143110876/241417620799183635785433*c_1001_7^2 - 1604193021749863455997564/241417620799183635785433*c_1001_7 - 15259719477015699508272/26824180088798181753937, c_0101_8 + 124473210650752389078150/26824180088798181753937*c_1001_7^8 + 32601814757554900829253/3832025726971168821991*c_1001_7^7 - 158856201356381735219410/34488231542740519397919*c_1001_7^6 - 2624709923458959817952255/26824180088798181753937*c_1001_7^5 - 68458853443131456929531314/241417620799183635785433*c_1001_7^4 - 3758107689992967555931736/11496077180913506465973*c_1001_7^3 - 38532709545601337686728391/241417620799183635785433*c_1001_7^2 - 7207292691188150282524438/241417620799183635785433*c_1001_7 - 58500265924147165488394/26824180088798181753937, c_0101_9 - 78343102518973588378575/26824180088798181753937*c_1001_7^8 - 103591980709221739646553/26824180088798181753937*c_1001_7^7 + 880948207210098820700302/241417620799183635785433*c_1001_7^6 + 1581664684724541309430557/26824180088798181753937*c_1001_7^5 + 36312723650433964973843074/241417620799183635785433*c_1001_7^4 + 12239519915281510537570460/80472540266394545261811*c_1001_7^3 + 16712082346281056628919651/241417620799183635785433*c_1001_7^2 + 3362146267586921964859126/241417620799183635785433*c_1001_7 + 2155098796828250747016/2063398468369090904149, c_1001_2 - 18372120489971176180050/26824180088798181753937*c_1001_7^8 - 11328667193737290969792/26824180088798181753937*c_1001_7^7 + 94704945434593568054899/80472540266394545261811*c_1001_7^6 + 346109545332310726168823/26824180088798181753937*c_1001_7^5 + 2096009190757328144752225/80472540266394545261811*c_1001_7^4 + 456231060528333573820497/26824180088798181753937*c_1001_7^3 + 428294573076260338109113/80472540266394545261811*c_1001_7^2 + 304953198250604389267063/80472540266394545261811*c_1001_7 + 22027417369456929012938/26824180088798181753937, c_1001_7^9 + 163/75*c_1001_7^8 - 827/2025*c_1001_7^7 - 4841/225*c_1001_7^6 - 138089/2025*c_1001_7^5 - 60997/675*c_1001_7^4 - 112757/2025*c_1001_7^3 - 31547/2025*c_1001_7^2 - 98/45*c_1001_7 - 3/25 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.130 Total time: 0.340 seconds, Total memory usage: 32.09MB