Magma V2.19-8 Tue Aug 20 2013 23:38:37 on localhost [Seed = 711740953] Type ? for help. Type -D to quit. Loading file "K11n97__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K11n97 geometric_solution 10.18300955 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 11 1 2 3 4 0132 0132 0132 0132 0 0 0 0 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 1 1 -2 0 0 0 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 0.449549625790 1.356177926194 0 5 7 6 0132 0132 0132 0132 0 0 0 0 0 -1 1 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 -2 2 0 0 0 0 0 -2 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.234362944754 0.749552417864 8 0 6 7 0132 0132 1302 1302 0 0 0 0 0 0 0 0 -1 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 -1 0 1 -1 0 0 1 0 2 0 -2 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.336492554087 0.468080449407 7 9 8 0 0132 0132 1230 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 -1 0 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 0.267250962833 0.888061858780 10 6 0 9 0132 1302 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 2 -2 0 0 0 0 0 1 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.451832635518 0.183075392108 10 1 8 9 2310 0132 0321 2310 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 2 -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 0.558846030718 0.875404875278 2 9 1 4 2031 2310 0132 2031 0 0 0 0 0 1 0 -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 0 0 0 0 -1 0 0 1 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.622173870769 0.817038402621 3 10 2 1 0132 3120 2031 0132 0 0 0 0 0 0 1 -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 0 0 2 -2 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 0.557867299958 0.594775209060 2 10 5 3 0132 2310 0321 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 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 0.712769226209 0.982880638393 5 3 4 6 3201 0132 0132 3201 0 0 0 0 0 0 1 -1 0 0 0 0 1 0 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 -2 0 0 0 0 1 0 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.875850998451 1.157220074830 4 7 5 8 0132 3120 3201 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 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 0.789451660956 0.938052380237 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : negation(d['c_0101_5']), 'c_1001_5' : negation(d['c_1001_3']), 'c_1001_4' : d['c_0110_6'], 'c_1001_7' : d['c_0101_5'], 'c_1001_6' : negation(d['c_1001_3']), 'c_1001_1' : negation(d['c_0011_10']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_0110_6'], 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : negation(d['c_0011_3']), 'c_1010_10' : d['c_0011_3'], 's_0_10' : negation(d['1']), 's_3_10' : negation(d['1']), 's_2_8' : d['1'], 's_2_9' : d['1'], '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' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_10' : d['1'], 's_0_8' : negation(d['1']), 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : d['1'], 's_0_4' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : negation(d['c_0011_6']), 'c_1100_8' : negation(d['c_1001_3']), 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : negation(d['c_0011_6']), 'c_1100_7' : negation(d['c_1001_0']), 'c_1100_6' : negation(d['c_1001_0']), 'c_1100_1' : negation(d['c_1001_0']), 'c_1100_0' : negation(d['c_0011_6']), 'c_1100_3' : negation(d['c_0011_6']), 'c_1100_2' : d['c_0101_0'], 'c_1100_10' : negation(d['c_0011_0']), 'c_1010_7' : negation(d['c_0011_10']), 'c_1010_6' : negation(d['c_0011_10']), 'c_1010_5' : negation(d['c_0011_10']), 'c_1010_4' : d['c_1001_0'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_1001_3']), 'c_1010_0' : d['c_0110_6'], 'c_1010_9' : d['c_1001_3'], 'c_1010_8' : negation(d['c_0101_1']), 's_3_1' : d['1'], 's_3_0' : negation(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' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : negation(d['1']), 'c_0011_9' : negation(d['c_0011_3']), 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : negation(d['c_0011_3']), 'c_0110_6' : d['c_0110_6'], '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_0110_10' : d['c_0101_1'], 'c_0011_6' : d['c_0011_6'], 'c_0101_7' : d['c_0101_0'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : negation(d['c_0011_6']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_10'], 'c_0101_8' : negation(d['c_0101_5']), 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_10'], 'c_0110_8' : negation(d['c_0011_6']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_5']), 'c_0110_5' : negation(d['c_0101_10']), 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_1'], 'c_0011_10' : d['c_0011_10']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_6, c_0101_0, c_0101_1, c_0101_10, c_0101_5, c_0110_6, c_1001_0, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 282182682338789696/324163818378081*c_1001_3^11 - 7914459914604128/29469438034371*c_1001_3^10 - 375718945427243972/324163818378081*c_1001_3^9 - 171747700021228858/324163818378081*c_1001_3^8 + 3691924094946546/2118717767177*c_1001_3^7 + 15447592500152996/36018202042009*c_1001_3^6 - 432022573376519627/324163818378081*c_1001_3^5 - 480243675111193561/648327636756162*c_1001_3^4 + 201446360820525967/324163818378081*c_1001_3^3 + 24886281792936167/39292584045828*c_1001_3^2 + 192522250570154861/1296655273512324*c_1001_3 - 23089474257098477/432218424504108, c_0011_0 - 1, c_0011_10 - 4613054624/4995666729*c_1001_3^11 + 6145881064/4995666729*c_1001_3^10 - 5925290884/4995666729*c_1001_3^9 + 8112001348/4995666729*c_1001_3^8 - 1918973512/1665222243*c_1001_3^7 + 2747650034/1665222243*c_1001_3^6 - 8878728385/4995666729*c_1001_3^5 + 2926662668/4995666729*c_1001_3^4 + 10731006391/9991333458*c_1001_3^3 + 511984591/3330444486*c_1001_3^2 - 5206207879/9991333458*c_1001_3 - 649708526/1665222243, c_0011_3 + 14215322176/4995666729*c_1001_3^11 - 10857501584/4995666729*c_1001_3^10 - 16883501176/4995666729*c_1001_3^9 - 4137348632/4995666729*c_1001_3^8 + 3608149184/555074081*c_1001_3^7 - 353930412/555074081*c_1001_3^6 - 17633448094/4995666729*c_1001_3^5 - 6911032132/4995666729*c_1001_3^4 + 15573706871/4995666729*c_1001_3^3 + 577240573/555074081*c_1001_3^2 + 1185860146/4995666729*c_1001_3 - 1051112147/1665222243, c_0011_6 + 3854556512/1665222243*c_1001_3^11 - 136699336/555074081*c_1001_3^10 - 1594979036/555074081*c_1001_3^9 - 1074362316/555074081*c_1001_3^8 + 6922529912/1665222243*c_1001_3^7 + 3219078206/1665222243*c_1001_3^6 - 1749456331/555074081*c_1001_3^5 - 3621806338/1665222243*c_1001_3^4 + 1269790967/3330444486*c_1001_3^3 + 8342939395/3330444486*c_1001_3^2 + 132046871/3330444486*c_1001_3 - 305919592/555074081, c_0101_0 + 14215322176/4995666729*c_1001_3^11 - 10857501584/4995666729*c_1001_3^10 - 16883501176/4995666729*c_1001_3^9 - 4137348632/4995666729*c_1001_3^8 + 3608149184/555074081*c_1001_3^7 - 353930412/555074081*c_1001_3^6 - 17633448094/4995666729*c_1001_3^5 - 6911032132/4995666729*c_1001_3^4 + 15573706871/4995666729*c_1001_3^3 + 577240573/555074081*c_1001_3^2 + 1185860146/4995666729*c_1001_3 - 1051112147/1665222243, c_0101_1 - 14865040544/4995666729*c_1001_3^11 + 3085629832/4995666729*c_1001_3^10 + 27458032148/4995666729*c_1001_3^9 + 5034892936/4995666729*c_1001_3^8 - 11254283860/1665222243*c_1001_3^7 - 3714074230/1665222243*c_1001_3^6 + 33554033465/4995666729*c_1001_3^5 + 9110492717/4995666729*c_1001_3^4 - 22103368157/9991333458*c_1001_3^3 - 4104176857/1665222243*c_1001_3^2 - 971799500/4995666729*c_1001_3 + 1634955023/3330444486, c_0101_10 + 10913951168/4995666729*c_1001_3^11 - 9002165776/4995666729*c_1001_3^10 - 3780280352/4995666729*c_1001_3^9 - 8771716540/4995666729*c_1001_3^8 + 6492693604/1665222243*c_1001_3^7 - 1556787260/1665222243*c_1001_3^6 + 175478392/4995666729*c_1001_3^5 - 8665958429/4995666729*c_1001_3^4 + 6426709243/4995666729*c_1001_3^3 + 3598029119/3330444486*c_1001_3^2 + 824261905/9991333458*c_1001_3 + 1027657663/3330444486, c_0101_5 + 11091633376/4995666729*c_1001_3^11 - 20984992376/4995666729*c_1001_3^10 + 376124972/4995666729*c_1001_3^9 + 404060452/4995666729*c_1001_3^8 + 10845886672/1665222243*c_1001_3^7 - 6749230574/1665222243*c_1001_3^6 - 7341623449/4995666729*c_1001_3^5 - 3283443208/4995666729*c_1001_3^4 + 27075784363/9991333458*c_1001_3^3 + 2727559631/3330444486*c_1001_3^2 - 8788212703/9991333458*c_1001_3 - 967685885/1665222243, c_0110_6 + 16756143808/4995666729*c_1001_3^11 - 15538150160/4995666729*c_1001_3^10 - 17311291984/4995666729*c_1001_3^9 + 567549004/4995666729*c_1001_3^8 + 11231057900/1665222243*c_1001_3^7 - 1057752916/1665222243*c_1001_3^6 - 29600189572/4995666729*c_1001_3^5 - 2095801267/4995666729*c_1001_3^4 + 15723559403/4995666729*c_1001_3^3 + 9040506565/3330444486*c_1001_3^2 - 6343910707/9991333458*c_1001_3 - 1987255345/3330444486, c_1001_0 + 20142862976/4995666729*c_1001_3^11 - 17610290272/4995666729*c_1001_3^10 - 15300190016/4995666729*c_1001_3^9 - 8278827016/4995666729*c_1001_3^8 + 4599526344/555074081*c_1001_3^7 - 954090280/555074081*c_1001_3^6 - 19138103924/4995666729*c_1001_3^5 - 17257466294/4995666729*c_1001_3^4 + 13812821176/4995666729*c_1001_3^3 + 1412521955/555074081*c_1001_3^2 + 3241790852/4995666729*c_1001_3 - 1719878347/1665222243, c_1001_3^12 - 5/4*c_1001_3^11 - 5/8*c_1001_3^10 + 1/4*c_1001_3^9 + 9/4*c_1001_3^8 - 21/16*c_1001_3^7 - 41/32*c_1001_3^6 + 7/32*c_1001_3^5 + 71/64*c_1001_3^4 + 3/16*c_1001_3^3 - 23/64*c_1001_3^2 - 3/16*c_1001_3 + 9/64 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.180 Total time: 0.390 seconds, Total memory usage: 32.09MB