{"count": 2, "status":"OK", "data":[{"pols": "[X^4, -528-6272*X-28032*X^2-43520*X^3-6400*X^4, 5799936+48627712*X+104333312*X^2-206045184*X^3-139984896*X^4, 2264924160+28185722880*X+116098334720*X^2+128849018880*X^3-393257943040*X^4, 1717986918400*(4*X+1)*(2*X+1)^2*(4*X+3)]", "text": "Sporadic Operator.", "degz": 4, "h3": "2", "sol": "1 528 2434320 18496262400 174225386134800 1851234419251945728 21250689818684006064384 257431429480165678405324800 3244695401066105343290660298000 42160560700757556279415471133856000", "n_discr_factors": "3", "c3": "-16", "operator": "4 4 0 0 0 0 1 -528 -6272 -28032 -43520 -6400 5799936 48627712 104333312 -206045184 -139984896 2264924160 28185722880 116098334720 128849018880 -393257943040 5153960755200 48103633715200 158054796492800 219902325555200 109951162777600", "new_number": "4.61", "id": 161, "operator_tex": "\\theta^4-2^{4} x\\left(400\\theta^4+2720\\theta^3+1752\\theta^2+392\\theta+33\\right)-2^{15} x^{2}\\left(4272\\theta^4+6288\\theta^3-3184\\theta^2-1484\\theta-177\\right)-2^{24} 5 x^{3}\\left(4688\\theta^4-1536\\theta^3-1384\\theta^2-336\\theta-27\\right)+2^{36} 5^{2} x^{4}(4\\theta+1)(2\\theta+1)^2(4\\theta+3)", "superseek": "8224 15542388128", "discriminant": "4 1 -6400 -139984896 -393257943040 109951162777600", "aesz": "289", "n_sing_complex": "0", "inst_int": "", "c2h": "20", "hash": "673413653f5554d4f0cc1a8af33e8bbe", "dim_h": "2", "inst": " 8224 3407456 15542388128 54609260446560 282477571639256928 1593403948509786474208 9996790950092404250694432 66959132321618107208146692960 472988575734717866146656912684800 3481362951036082771628823802703192096", "cleanlist": "True", "n_sing_real": "4", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "4", "laurent": null, "discriminant_tex": "(16384z-1)(256z-1)(1+5120z)^2", "discr_factors": "109951162777600, z-1/256, (1/5120+z)^2, z-1/16384", "dm_basis": null, "q": "0 1 -4160 6816864 -20920440832 -2801293291984 -274110763911579648 -1409140353520807566848 -11677853297001700102111232 -88913392568086581572177028456", "yuk": "1 8224 27267872 419644487680 3494992695847712 35309696454907124224 344175252878533550176256 3428899295881694657988198400 34283075748668474385563802643232 344808671710609324420913308991706880", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/5120","im":"0","approx_re":"-0.0001953125","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"1/16384","im":"0","approx_re":"6.103515625e-05","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/256","im":"0","approx_re":"0.00390625","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1/4","1/2","1/2","3/4"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[289*X^4, -8670-67337*X-236521*X^2-338368*X^3+180574*X^4, 12195324+57229956*X+95227623*X^2-97392996*X^3+14372019*X^4, -348606828+2405332584*X+12773408967*X^2+19715057046*X^3-1329790041*X^4, -435928166496-1588855377528*X-1485056132244*X^2+526315468068*X^3+1059950177784*X^4, -171432237780*(5*X+3)*(5*X+4)*(5*X+6)*(5*X+7)]", "text": "This is operator \"5.106\" from ...", "degz": 5, "h3": "68", "sol": "1 30 414 -73680 -4205250 662070780 102624757200 -1397015959680 -1568094618197250 -88599206760593100", "n_discr_factors": "2", "c3": "880", "operator": "4 5 0 0 0 0 289 -8670 -67337 -236521 -338368 180574 12195324 57229956 95227623 -97392996 14372019 -348606828 2405332584 12773408967 19715057046 -1329790041 -435928166496 -1588855377528 -1485056132244 526315468068 1059950177784 -86401847841120 -385722535005000 -621441861952500 -428580594450000 -107145148612500", "new_number": "5.106", "id": 188, "operator_tex": "17^{2} \\theta^4+17 x\\left(10622\\theta^4-19904\\theta^3-13913\\theta^2-3961\\theta-510\\right)+3^{2} x^{2}\\left(1596891\\theta^4-10821444\\theta^3+10580847\\theta^2+6358884\\theta+1355036\\right)-3^{5} x^{3}\\left(5472387\\theta^4-81131922\\theta^3-52565469\\theta^2-9898488\\theta+1434596\\right)+2^{2} 3^{8} 127 x^{4}\\left(318018\\theta^4+157911\\theta^3-445563\\theta^2-476706\\theta-130792\\right)-2^{2} 3^{12} 5 127^{2} x^{5}(5\\theta+3)(5\\theta+4)(5\\theta+6)(5\\theta+7)", "superseek": "3169/17 16293835/17", "discriminant": "5 289 180574 14372019 -1329790041 1059950177784 -107145148612500", "aesz": "360", "n_sing_complex": "2", "inst_int": "", "c2h": "20", "hash": "502b9ea354d34405e6925ab32d7f1cd2", "dim_h": "13", "inst": " 3169/17 -723497/68 16293835/17 -1870341966/17 251152956621/17 -149619526234291/68 5972572133461281/17 -1002102181825583618/17 174592809018036539989/17 -125381724314894019177405/68", "cleanlist": "True", "n_sing_real": "3", "sol_explicit": "", "n_sing_rational": "2", "n_sing": "5", "laurent": null, "discriminant_tex": "-(2278125z^3-33831z^2+182z-1)(17+6858z)^2", "discr_factors": "-107145148612500, (17/6858+z)^2, z^3-1253/84375*z^2+182/2278125*z-1/2278125", "dm_basis": null, "q": "0 1 -113 18849 -3369671 623742093 -118893275751 23213306920158 -4619950416402225 933631696850596452", "yuk": "1 3169/17 -1443825/17 439936714/17 -119703329649/17 31394119580794/17 -8079453978161994/17 2048592241777222552/17 -513076317214402142065/17 127278157774149077588695/17", "gv2": null, "gv0": null, "gv1": null, 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