{"count": 6, "status":"OK", "data":[{"pols": "[X^4, -1296*(X+1/2)^4-1152*(X+1/2)^2-33, 443232*(X+1)^4+90072*(X+1)^2+7308, -3779136*(X+3/2)^2*(4*(X+3/2)^2+3), 944784*(2*X+3)*(2*X+5)*(6*X+11)*(6*X+13)]", "text": "YY-Operator equivalent to AESZ 170=$d \\ast h \\tilde B \\ast \\epsilon$", "degz": 4, "h3": null, "sol": "1 402 197010 104962956 58311249066 33214816772676 19237340237054940 11275171083526676040 6667676790890365989882 3970438396828869620358132", "n_discr_factors": "1", "c3": null, "operator": "4 4 0 0 0 0 1 -402 -1800 -3096 -2592 -1296 540612 1953072 2749464 1772928 443232 -102036672 -238085568 -215410752 -90699264 -15116544 2026561680 4202399232 3227382144 1088391168 136048896", "new_number": "4.10", "id": 105, "operator_tex": "\\theta^4-2 3 x\\left(216\\theta^4+432\\theta^3+516\\theta^2+300\\theta+67\\right)+2^{2} 3^{2} x^{2}\\left(12312\\theta^4+49248\\theta^3+76374\\theta^2+54252\\theta+15017\\right)-2^{6} 3^{10} x^{3}(\\theta^2+3\\theta+3)(2\\theta+3)^2+2^{4} 3^{10} x^{4}(2\\theta+3)(2\\theta+5)(6\\theta+11)(6\\theta+13)", "superseek": "-84 -148820", "discriminant": "4 1 -1296 443232 -15116544 136048896", "aesz": null, "n_sing_complex": "1", "inst_int": "", "c2h": null, "hash": "fc2837f1001e57a5cc53749a08d4f2bf", "dim_h": null, "inst": " -84 -5271/2 -148820 -41373213/4 -836813460 -149029320727/2 -7085845912404 -2830424545606623/4 -73374371515541012 -15677869461132014535/2", "cleanlist": "True", "n_sing_real": "1", "sol_explicit": "", "n_sing_rational": "1", "n_sing": "2", "laurent": null, "discriminant_tex": "(1-648z+11664z^2)^2", "discr_factors": "136048896, (1/11664-1/18*z+z^2)^2", "dm_basis": null, "q": "0 1 -192 11916 -559360 30385806 -1707803136 54439705208 -4825641228288 -74261173085595", "yuk": "1 -84 -21168 -4018224 -661992576 -104601682584 -16095170677824 -2430445147954656 -362294342499640320 -53489916834833415972", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"s_1","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["-1/2","0","1","3/2"],"monodromy":[],"monodromy_dm":[]},{"re":"s_2","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["-1/2","0","1","3/2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/36-1/54*2^(1/2)","im":"0","approx_re":"0.001589","approx_im":"0.0","exponents":["0","-1/2","1","3/2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/36+1/54*2^(1/2)","im":"0","approx_re":"0.053967","approx_im":"0.0","exponents":["0","-1/2","1","3/2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["3/2","11/6","13/6","5/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -972*(X+1/2)^4-864*(X+1/2)^2-99/4, 196830*(X+1)^4-251505/2*(X+1)^2-46413/4, 4782969*(X+3/2)^2*(4*(X+3/2)^2+3), 43046721/16*(2*X+3)*(2*X+5)*(6*X+11)*(6*X+13)]", "text": "This is operator \"4.11\" from ...", "degz": 4, "h3": null, "sol": "1 603/2 1008855/8 898513875/16 3331190162475/128 3161945411895501/256 6099993792665917011/1024 5952504034504427078115/2048 46875561168026465063658675/32768 46457746073264645346945105225/65536", "n_discr_factors": "1", "c3": null, "operator": "4 4 0 0 0 0 1 -603/2 -1350 -2322 -1944 -972 237897/4 535815 2110455/2 787320 196830 129140163 301327047 272629233 114791256 19131876 92335216545/16 11966988438 18380949867/2 3099363912 387420489", "new_number": "4.11", "id": 106, "operator_tex": "\\theta^4-x\\left(972\\theta^4+1944\\theta^3+2322\\theta^2+1350\\theta+603/2\\right)+x^{2}\\left(196830\\theta^4+787320\\theta^3+2110455/2\\theta^2+535815\\theta+237897/4\\right)+3^{14} x^{3}(\\theta^2+3\\theta+3)(2\\theta+3)^2+x^{4}43046721/16(2\\theta+3)(2\\theta+5)(6\\theta+11)(6\\theta+13)", "superseek": "-63 -96866", "discriminant": "4 1 -972 196830 19131876 387420489", "aesz": null, "n_sing_complex": "1", "inst_int": "", "c2h": null, "hash": "39ed55f37672c58e7ce182c4c33d4a66", "dim_h": null, "inst": " -63 -8757/4 -96866 -6253821 -446217723 -71032541839/2 -3003468049764 -267200854617627 -24665476255290500 -9385209703933096257/4", "cleanlist": "True", "n_sing_real": "1", "sol_explicit": "", "n_sing_rational": "1", "n_sing": "2", "laurent": null, "discriminant_tex": "(-1+486z+19683z^2)^2", "discr_factors": "387420489, (-1/19683+2/81*z+z^2)^2", "dm_basis": null, "q": "0 1 -144 2106 395286 -22796343 -78199830 35931296835 -2490116826726 -108328486058532", "yuk": "1 -63 -17577 -2615445 -400262121 -55777215438 -7671517151571 -1030189541069115 -136806837964487145 -17981132190109389945", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/81-2/243*3^(1/2)","im":"0","approx_re":"-0.026601","approx_im":"0.0","exponents":["0","-1/2","1","3/2"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"s_1","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["-1/2","0","1","3/2"],"monodromy":[],"monodromy_dm":[]},{"re":"s_2","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["-1/2","0","1","3/2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/81+2/243*3^(1/2)","im":"0","approx_re":"0.00191","approx_im":"0.0","exponents":["0","-1/2","1","3/2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["3/2","11/6","13/6","5/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -1188*(X+1/2)^4-1092*(X+1/2)^2-141/4, 535086*(X+1)^4+1287495/2*(X+1)^2+223011/4, -820125*(X+3/2)^2*(132*(X+3/2)^2+103), 922640625/16*(2*X+3)*(2*X+5)*(6*X+11)*(6*X+13)]", "text": "YY-operator equivalent to AESZ $=b \\ast h ~B \\ast \\eta$", "degz": 4, "h3": null, "sol": "1 765/2 1009575/8 627988725/16 1505754528075/128 876427978866363/256 992952700080876675/1024 547116035902478345925/2048 2338776827733813875961075/32768 1204708667299330204097718975/65536", "n_discr_factors": "1", "c3": null, "operator": "4 4 0 0 0 0 1 -765/2 -1686 -2874 -2376 -1188 4938345/4 3427839 7708527/2 2140344 535086 -738112500 -1714881375 -1545935625 -649539000 -108256500 1979064140625/16 256494093750 393967546875/2 66430125000 8303765625", "new_number": "4.12", "id": 107, "operator_tex": "\\theta^4-x\\left(1188\\theta^4+2376\\theta^3+2874\\theta^2+1686\\theta+765/2\\right)+x^{2}\\left(535086\\theta^4+2140344\\theta^3+7708527/2\\theta^2+3427839\\theta+4938345/4\\right)-3^{8} 5^{3} x^{3}(33\\theta^2+99\\theta+100)(2\\theta+3)^2+x^{4}922640625/16(2\\theta+3)(2\\theta+5)(6\\theta+11)(6\\theta+13)", "superseek": "-45 7080", "discriminant": "4 1 -1188 535086 -108256500 8303765625", "aesz": null, "n_sing_complex": "1", "inst_int": "", "c2h": null, "hash": "6c95cb50a57e8a1c96a5a4e3e353cb85", "dim_h": null, "inst": " -45 -135 7080 406035 17168436 631199430 17671792905 115936332615 -29577913105800 -2692376094481614", "cleanlist": "True", "n_sing_real": "1", "sol_explicit": "", "n_sing_rational": "1", "n_sing": "2", "laurent": null, "discriminant_tex": "(1-594z+91125z^2)^2", "discr_factors": "8303765625, (1/91125-22/3375*z+z^2)^2", "dm_basis": null, "q": "0 1 -156 18144 -1724866 150548730 -12113124102 936247114643 -69434363509134 5017792372971057", "yuk": "1 -45 -1125 191115 25985115 2146054455 136339266915 6061424966370 59359428283995 -21562298653937085", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"s_1","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["-1/2","0","1","3/2"],"monodromy":[],"monodromy_dm":[]},{"re":"s_2","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["-1/2","0","1","3/2"],"monodromy":[],"monodromy_dm":[]},{"re":"11/3375","im":"-2/3375","approx_re":"0.00325925925926","approx_im":"-0.000592592592593","exponents":["0","-1/2","1","3/2"],"monodromy":[],"monodromy_dm":[]},{"re":"11/3375","im":"2/3375","approx_re":"0.00325925925926","approx_im":"0.000592592592593","exponents":["0","-1/2","1","3/2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["3/2","11/6","13/6","5/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -1080*(X+1/2)^4-978*(X+1/2)^2-30, 384912*(X+1)^4+331452*(X+1)^2+28512, -1679616*(X+3/2)^2*(30*(X+3/2)^2+23), 15116544*(2*X+3)*(2*X+5)*(6*X+11)*(6*X+13)]", "text": "YY-operator equivalent to (:AESZ 50), $\\tilde B \\ast \\alpha$", "degz": 4, "h3": null, "sol": "1 342 117990 42901884 16240501782 6316625715444 2502293810634972 1004195277488806200 406869404168584931958 166067564374448102903364", "n_discr_factors": "2", "c3": null, "operator": "4 4 0 0 0 0 1 -342 -1518 -2598 -2160 -1080 744876 2202552 2640924 1539648 384912 -342011808 -796137984 -718875648 -302330880 -50388480 32424986880 67238387712 51638114304 17414258688 2176782336", "new_number": "4.7", "id": 179, "operator_tex": "\\theta^4-2 3 x\\left(180\\theta^4+360\\theta^3+433\\theta^2+253\\theta+57\\right)+2^{2} 3^{4} 11 x^{2}\\left(108\\theta^4+432\\theta^3+741\\theta^2+618\\theta+209\\right)-2^{5} 3^{8} x^{3}(60\\theta^2+180\\theta+181)(2\\theta+3)^2+2^{8} 3^{10} x^{4}(2\\theta+3)(2\\theta+5)(6\\theta+11)(6\\theta+13)", "superseek": "-54 -40552", "discriminant": "4 1 -1080 384912 -50388480 2176782336", "aesz": null, "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "ee8508b4e5567367ca11f74e074e8099", "dim_h": null, "inst": " -54 -864 -40552 -2192400 -123334380 -7606782112 -510067786500 -35999557094448 -2629631770323490 -197665963831332576", "cleanlist": "True", "n_sing_real": "3", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "3", "laurent": null, "discriminant_tex": "(432z-1)^2(108z-1)^2", "discr_factors": "2176782336, (z-1/108)^2, (z-1/432)^2", "dm_basis": null, "q": "0 1 -150 12159 -1012316 69674055 -4599819306 286902654701 -17623474911768 1008452921121792", "yuk": "1 -54 -6966 -1094958 -140320566 -15416797554 -1643066038062 -174953250769554 -18431773372677942 -1917001560566919168", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"1/432","im":"0","approx_re":"0.00231481481481","approx_im":"0.0","exponents":["0","-1/2","1","3/2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/108","im":"0","approx_re":"0.00925925925926","approx_im":"0.0","exponents":["0","-1/2","1","3/2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["3/2","11/6","13/6","5/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -1836*(X+1/2)^4-1614*(X+1/2)^2-177/4, 844182*(X+1)^4+23571/2*(X+1)^2+2835/4, -6561*(X+3/2)^2*(204*(X+3/2)^2+151), 59049/16*(2*X+3)*(2*X+5)*(6*X+11)*(6*X+13)]", "text": "YY-Operator equivalent to AESZ 53 =$B \\ast \\gamma \\tilde g \\ast h$", "degz": 4, "h3": null, "sol": "1 1125/2 3219615/8 5002535925/16 32404173968475/128 53796434927016771/256 181612568805465855915/1024 310214532003511738962645/2048 4276965511967012944282192275/32768 7422128578198801501629900794775/65536", "n_discr_factors": "1", "c3": null, "operator": "4 4 0 0 0 0 1 -1125/2 -2532 -4368 -3672 -1836 3426705/4 3400299 10153755/2 3376728 844182 -18009945/2 -21041127 -19059705 -8030664 -1338444 126660105/16 16415622 25213923/2 4251528 531441", "new_number": "4.8", "id": 180, "operator_tex": "\\theta^4-x\\left(1836\\theta^4+3672\\theta^3+4368\\theta^2+2532\\theta+1125/2\\right)+x^{2}\\left(844182\\theta^4+3376728\\theta^3+10153755/2\\theta^2+3400299\\theta+3426705/4\\right)-x^{3}6561/2(2\\theta+3)^2(102\\theta^2+306\\theta+305)+x^{4}59049/16(2\\theta+3)(2\\theta+5)(6\\theta+11)(6\\theta+13)", "superseek": "-135 -417685", "discriminant": "4 1 -1836 844182 -1338444 531441", "aesz": null, "n_sing_complex": "1", "inst_int": "", "c2h": null, "hash": "f5702d0b3fd53e9b80a42c76a335b648", "dim_h": null, "inst": " -135 -22815/4 -417685 -78983235/2 -4331084310 -2089942400125/4 -67374991615680 -18252405254369835/2 -1283816640590794765 -372187037770688515995/2", "cleanlist": "True", "n_sing_real": "1", "sol_explicit": "", "n_sing_rational": "1", "n_sing": "2", "laurent": null, "discriminant_tex": "(1-918z+729z^2)^2", "discr_factors": "531441, (1/729-34/27*z+z^2)^2", "dm_basis": null, "q": "0 1 -282 25119 -1071652 25356255 -1131124770 -48836642899 -12516628400052 -1895689264678308", "yuk": "1 -135 -45765 -11277630 -2527509285 -541385538885 -112856900930010 -23109622124178375 -4672615747646187045 -935902330990700661315", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"s_1","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["-1/2","0","1","3/2"],"monodromy":[],"monodromy_dm":[]},{"re":"s_2","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["-1/2","0","1","3/2"],"monodromy":[],"monodromy_dm":[]},{"re":"17/27-4/9*2^(1/2)","im":"0","approx_re":"0.00109","approx_im":"0.0","exponents":["0","-1/2","1","3/2"],"monodromy":[],"monodromy_dm":[]},{"re":"17/27+4/9*2^(1/2)","im":"0","approx_re":"1.258169","approx_im":"0.0","exponents":["0","-1/2","1","3/2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["3/2","11/6","13/6","5/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -756*(X+1/2)^4-690*(X+1/2)^2-87/4, 260982*(X+1)^4+815427/2*(X+1)^2+142947/4, -531441*(X+3/2)^2*(84*(X+3/2)^2+65), 387420489/16*(2*X+3)*(2*X+5)*(6*X+11)*(6*X+13)]", "text": "YY-operator equivalent to AESZ 151=$B \\ast \\delta$", "degz": 4, "h3": null, "sol": "1 483/2 300015/8 32162403/16 -132658029189/128 -115627249605483/256 -108197209270259109/1024 -29009247623259989085/2048 15099017488656585094611/32768 59767409101296884745991233/65536", "n_discr_factors": "1", "c3": null, "operator": "4 4 0 0 0 0 1 -483/2 -1068 -1824 -1512 -756 2817729/4 1859355 3947211/2 1043928 260982 -607437063/2 -706285089 -637197759 -267846264 -44641044 831016948905/16 107702895942 165428548803/2 27894275208 3486784401", "new_number": "4.9", "id": 181, "operator_tex": "\\theta^4-x\\left(756\\theta^4+1512\\theta^3+1824\\theta^2+1068\\theta+483/2\\right)+x^{2}\\left(260982\\theta^4+1043928\\theta^3+3947211/2\\theta^2+1859355\\theta+2817729/4\\right)-x^{3}531441/2(2\\theta+3)^2(42\\theta^2+126\\theta+127)+x^{4}387420489/16(2\\theta+3)(2\\theta+5)(6\\theta+11)(6\\theta+13)", "superseek": "-33 29693", "discriminant": "4 1 -756 260982 -44641044 3486784401", "aesz": null, "n_sing_complex": "1", "inst_int": "", "c2h": null, "hash": "c444fb1a912bd488ee5947b8bc1e2c53", "dim_h": null, "inst": " -33 1095/2 29693 1241103/2 -16117818 -3980319827/2 -68679466944 2495037536247/2 260588508312917 11634569245959975", "cleanlist": "True", "n_sing_real": "1", "sol_explicit": "", "n_sing_rational": "1", "n_sing": "2", "laurent": null, "discriminant_tex": "(1-378z+59049z^2)^2", "discr_factors": "3486784401, (1/59049-14/2187*z+z^2)^2", "dm_basis": null, "q": "0 1 -102 11727 -799756 63350367 -3980423214 261400863725 -15763834861404 952935785688204", "yuk": "1 -33 4347 801678 39719643 -2014727283 -429873735258 -23557057161825 638729648998875 189969022560918171", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"s_1","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["-1/2","0","1","3/2"],"monodromy":[],"monodromy_dm":[]},{"re":"s_2","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["-1/2","0","1","3/2"],"monodromy":[],"monodromy_dm":[]},{"re":"7/2187","im":"-4/2187*2^(1/2)","approx_re":"0.00320073159579","approx_im":"-0.002587","exponents":["0","-1/2","1","3/2"],"monodromy":[],"monodromy_dm":[]},{"re":"7/2187","im":"4/2187*2^(1/2)","approx_re":"0.00320073159579","approx_im":"0.002587","exponents":["0","-1/2","1","3/2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["3/2","11/6","13/6","5/2"],"monodromy":[],"monodromy_dm":[]}]}]}