{"count": 2, "status":"OK", "data":[{"pols": "[X^4, -4*X*(X+1)*(2*X+1)^2, -32*(2*X+1)*(2*X+3)*(11*X^2+22*X+12), -1200*(2*X+1)*(2*X+3)^2*(2*X+5), -4864*(2*X+1)*(2*X+3)*(2*X+5)*(2*X+7)]", "text": "Sporadic Operator.", "degz": 4, "h3": null, "sol": "1 0 72 1200 44520 1451520 54164880 2075673600 82978295400 3404489088000", "n_discr_factors": "2", "c3": null, "operator": "4 4 0 0 0 0 1 0 -4 -20 -32 -16 -1152 -5184 -8224 -5632 -1408 -54000 -201600 -240000 -115200 -19200 -510720 -1712128 -1673216 -622592 -77824", "new_number": "4.37", "id": 134, "operator_tex": "\\theta^4-2^{2} x\\theta(\\theta+1)(2\\theta+1)^2-2^{5} x^{2}(2\\theta+1)(2\\theta+3)(11\\theta^2+22\\theta+12)-2^{4} 3 5^{2} x^{3}(2\\theta+1)(2\\theta+3)^2(2\\theta+5)-2^{8} 19 x^{4}(2\\theta+1)(2\\theta+3)(2\\theta+5)(2\\theta+7)", "superseek": "4 284", "discriminant": "4 1 -16 -1408 -19200 -77824", "aesz": "206", "n_sing_complex": "1", "inst_int": "", "c2h": null, "hash": "bd5dae321e1369e7fae153775f84a351", "dim_h": null, "inst": " 4 27 284 4368 80968 1722333 40082284 998658176 26202453860 716312822310", "cleanlist": "True", "n_sing_real": "2", "sol_explicit": "", "n_sing_rational": "2", "n_sing": "3", "laurent": null, "discriminant_tex": "-(16z+1)(4864z^3+896z^2+32z-1)", "discr_factors": "-77824, z^3+7/38*z^2+1/152*z-1/4864, z+1/16", "dm_basis": null, "q": "0 1 -4 -174 -1008 5703 -60552 -6912774 -195899200 -4965619785", "yuk": "1 4 220 7672 279772 10121004 372031816 13748223416 511313265884 19101588871612", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/912*(6947+627*33^(1/2))^(1/3)-41/114/(6947+627*33^(1/2))^(1/3)-7/114","im":"-1/8*3^(1/2)*(1/114*(6947+627*33^(1/2))^(1/3)-164/57/(6947+627*33^(1/2))^(1/3))","approx_re":"-0.10185","approx_im":"-0.013248","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/912*(6947+627*33^(1/2))^(1/3)-41/114/(6947+627*33^(1/2))^(1/3)-7/114","im":"1/8*3^(1/2)*(1/114*(6947+627*33^(1/2))^(1/3)-164/57/(6947+627*33^(1/2))^(1/3))","approx_re":"-0.10185","approx_im":"0.013248","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":"s_1","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"s_3","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"s_2","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/456*(6947+627*33^(1/2))^(1/3)+41/57/(6947+627*33^(1/2))^(1/3)-7/114","im":"0","approx_re":"0.019489","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":["1/2","3/2","5/2","7/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -128*X^4-544*X^3-400*X^2-128*X-16, -22272*X^4-38400*X^3-8192*X^2+512*X+256, -827392*X^4-983040*X^3-864256*X^2-417792*X-77824, -196608*(2*X+1)*(22*X^3+45*X^2+38*X+12), -9437184*(2*X+1)*(X+1)^2*(2*X+3)]", "text": "This is operator \"5.89\" from ...", "degz": 5, "h3": "16", "sol": "1 16 1200 136960 19010320 2955407616 494633669376 87189633822720 15971078116216080 3013478085823279360", "n_discr_factors": "2", "c3": "-44", "operator": "4 5 0 0 0 0 1 -16 -128 -400 -544 -128 256 512 -8192 -38400 -22272 -77824 -417792 -864256 -983040 -827392 -2359296 -12189696 -23789568 -22020096 -8650752 -28311552 -132120576 -217055232 -150994944 -37748736", "new_number": "5.89", "id": 303, "operator_tex": "\\theta^4-2^{4} x\\left(8\\theta^4+34\\theta^3+25\\theta^2+8\\theta+1\\right)-2^{8} x^{2}\\left(87\\theta^4+150\\theta^3+32\\theta^2-2\\theta-1\\right)-2^{12} x^{3}\\left(202\\theta^4+240\\theta^3+211\\theta^2+102\\theta+19\\right)-2^{16} 3 x^{4}(2\\theta+1)(22\\theta^3+45\\theta^2+38\\theta+12)-2^{20} 3^{2} x^{5}(2\\theta+1)(\\theta+1)^2(2\\theta+3)", "superseek": "48 25200", "discriminant": "5 1 -128 -22272 -827392 -8650752 -37748736", "aesz": "329", "n_sing_complex": "2", "inst_int": "", "c2h": "52", "hash": "8c526b3b825d5ad6a3d0fb83ee4e6059", "dim_h": "7", "inst": " 48 270 25200 968066 80892688 5836971062 522155519152 47398217590425 4636171366134912 468150494473792826", "cleanlist": "True", "n_sing_real": "3", "sol_explicit": "", "n_sing_rational": "2", "n_sing": "5", "laurent": null, "discriminant_tex": "-(16384z^3+3072z^2+224z-1)(1+48z)^2", "discr_factors": "-37748736, (1/48+z)^2, z^3+3/16*z^2+7/512*z-1/16384", "dm_basis": null, "q": "0 1 -64 1664 -68608 820656 -171802624 -6555458560 -1123846586368 -100669089912680", "yuk": "1 48 2208 680448 61958432 10111586048 1260786432000 179099343069184 24267887468256032 3379768925913031296", "gv2": null, "gv0": null, "gv1": null, 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