{"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": "[X^4, -216*X^4-264*X^3-196*X^2-64*X-8, 6672*X^4-4896*X^3-19504*X^2-12416*X-2464, 42496*X^4+491520*X^3+406784*X^2+110592*X+5888, -28672*(2*X+1)*(38*X^3+45*X^2+12*X-2), -802816*(2*X+1)*(X+1)^2*(2*X+3)]", "text": "This is operator \"5.73\" from ...", "degz": 5, "h3": "16", "sol": "1 8 528 45440 4763920 556795008 69938905344 9243039995904 1268613972671760 179279670581348480", "n_discr_factors": "3", "c3": "-72", "operator": "4 5 0 0 0 0 1 -8 -64 -196 -264 -216 -2464 -12416 -19504 -4896 6672 5888 110592 406784 491520 42496 57344 -229376 -1978368 -3670016 -2179072 -2408448 -11239424 -18464768 -12845056 -3211264", "new_number": "5.73", "id": 286, "operator_tex": "\\theta^4-2^{2} x\\left(54\\theta^4+66\\theta^3+49\\theta^2+16\\theta+2\\right)+2^{4} x^{2}\\left(417\\theta^4-306\\theta^3-1219\\theta^2-776\\theta-154\\right)+2^{8} x^{3}\\left(166\\theta^4+1920\\theta^3+1589\\theta^2+432\\theta+23\\right)-2^{12} 7 x^{4}(2\\theta+1)(38\\theta^3+45\\theta^2+12\\theta-2)-2^{14} 7^{2} x^{5}(2\\theta+1)(\\theta+1)^2(2\\theta+3)", "superseek": "20 13188", "discriminant": "5 1 -216 6672 42496 -2179072 -3211264", "aesz": "293\n", "n_sing_complex": "0", "inst_int": "", "c2h": "52", "hash": "f19eeaee48396d15d7cf7be47d7d48a7", "dim_h": "7", "inst": " 20 867/2 13188 609734 35512476 4757494887/2 174895402996 13771251674214 1142718645352032 197654872436043985/2", "cleanlist": "True", "n_sing_real": "5", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "5", "laurent": null, "discriminant_tex": "-(16z+1)(256z^2+176z-1)(-1+28z)^2", "discr_factors": "-3211264, z^2+11/16*z-1/256, z+1/16, (-1/28+z)^2", "dm_basis": null, "q": "0 1 -32 -480 -4352 -721104 -62992896 -5185868288 -452386127872 -41357676687720", "yuk": "1 20 3488 356096 39026464 4439059520 513809807360 59989123227648 7050880896224032 833041892461987424", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-11/32-5/32*5^(1/2)","im":"0","approx_re":"-0.693136","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/16","im":"0","approx_re":"-0.0625","approx_im":"0.0","exponents":["0","1","1","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":"-11/32+5/32*5^(1/2)","im":"0","approx_re":"0.005636","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/28","im":"0","approx_re":"0.0357142857143","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":["1/2","1","1","3/2"],"monodromy":[],"monodromy_dm":[]}]}]}