{"count": 2, "status":"OK", "data":[{"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, -864*X^4-216*X^3-282*X^2-174*X-36, 301536*X^4+239328*X^3+293652*X^2+140400*X+26064, -55302912*X^4-88926336*X^3-105048576*X^2-58113936*X-12913344, 5816883456*X^4+14961646080*X^3+19628039232*X^2+12355488576*X+3037849920, -354869268480*X^4-1255976534016*X^3-1906906116096*X^2-1335411173376*X-352231711488, 11796547829760*X^4+50640664264704*X^3+85369210896384*X^2+63970311831552*X+17547096158208, -178322008965120*X^4-777929764110336*X^3-1224353960165376*X^2-823686696271872*X-201757731323904, 743008370688*(6*X+5)^2*(6*X+7)^2]", "text": "This is operator \"8.25\" from ...", "degz": 8, "h3": null, "sol": "1 36 1908 116496 7816500 571265136 45282874896 3849203343168 344621130915636 31900564060477200", "n_discr_factors": "3", "c3": null, "operator": "4 8 0 0 0 0 1 -36 -174 -282 -216 -864 26064 140400 293652 239328 301536 -12913344 -58113936 -105048576 -88926336 -55302912 3037849920 12355488576 19628039232 14961646080 5816883456 -352231711488 -1335411173376 -1906906116096 -1255976534016 -354869268480 17547096158208 63970311831552 85369210896384 50640664264704 11796547829760 -201757731323904 -823686696271872 -1224353960165376 -777929764110336 -178322008965120 910185254092800 3744762188267520 5724136487780352 3851755393646592 962938848411648", "new_number": "8.25", "id": 469, "operator_tex": "\\theta^4-2 3 x\\left(144\\theta^4+36\\theta^3+47\\theta^2+29\\theta+6\\right)+2^{2} 3^{2} x^{2}\\left(8376\\theta^4+6648\\theta^3+8157\\theta^2+3900\\theta+724\\right)-2^{4} 3^{4} x^{3}\\left(42672\\theta^4+68616\\theta^3+81056\\theta^2+44841\\theta+9964\\right)+2^{6} 3^{5} x^{4}\\left(374028\\theta^4+962040\\theta^3+1262091\\theta^2+794463\\theta+195335\\right)-2^{8} 3^{7} x^{5}\\left(633840\\theta^4+2243328\\theta^3+3405968\\theta^2+2385208\\theta+629129\\right)+2^{12} 3^{8} x^{6}\\left(438960\\theta^4+1884384\\theta^3+3176664\\theta^2+2380392\\theta+652943\\right)-2^{19} 3^{10} x^{7}\\left(5760\\theta^4+25128\\theta^3+39548\\theta^2+26606\\theta+6517\\right)+2^{22} 3^{11} x^{8}(6\\theta+5)^2(6\\theta+7)^2", "superseek": "-54 -197216/3", "discriminant": "8 1 -864 301536 -55302912 5816883456 -354869268480 11796547829760 -178322008965120 962938848411648", "aesz": "299", "n_sing_complex": "2", "inst_int": "", "c2h": null, "hash": "c9e3907e21d64cf5564bf2d00992459e", "dim_h": null, "inst": " -54 -1530 -197216/3 -3553920 -222887448 -46187215136/3 -1137791347128 -88358802830496 -7126833307040540 -592327036101212712", "cleanlist": "True", "n_sing_real": "4", "sol_explicit": "", "n_sing_rational": "2", "n_sing": "6", "laurent": null, "discriminant_tex": "(1-144z+6912z^2)(108z-1)^2(3456z^2-252z+1)^2", "discr_factors": "962938848411648, 1/6912-1/48*z+z^2, (z-1/108)^2, (z^2-7/96*z+1/3456)^2", "dm_basis": null, "q": "0 1 -30 1179 -7420 1565673 81731862 7825382963 675317911944 61224964477299", "yuk": "1 -54 -12294 -1774998 -227463174 -27860931054 -3325481277030 -390262432064958 -45239707276677126 -5195461480834328658", "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":"7/192-1/576*345^(1/2)","im":"0","approx_re":"0.004212","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"1/108","im":"0","approx_re":"0.00925925925926","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"1/96","im":"-1/288*3^(1/2)","approx_re":"0.0104166666667","approx_im":"-0.006014","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/96","im":"1/288*3^(1/2)","approx_re":"0.0104166666667","approx_im":"0.006014","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"7/192+1/576*345^(1/2)","im":"0","approx_re":"0.068705","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["5/6","5/6","7/6","7/6"],"monodromy":[],"monodromy_dm":[]}]}]}