{"count": 3, "status":"OK", "data":[{"pols": "[X^4, -512*X^4-896*X^3-788*X^2-340*X-56, 128*(2*X+1)*(4*X+5)*(8*X+5)*(8*X+9)]", "text": "This is operator \"2.68\" from ...", "degz": 2, "h3": null, "sol": "1 56 7272 1200000 222009000 43921717056 9081017922816 1937046075973632 422903091123513000 94005817066113867200", "n_discr_factors": "1", "c3": null, "operator": "4 2 0 0 0 0 1 -56 -340 -788 -896 -512 28800 152320 287744 229376 65536", "new_number": "2.68", "id": 64, "operator_tex": "\\theta^4-2^{2} x\\left(128\\theta^4+224\\theta^3+197\\theta^2+85\\theta+14\\right)+2^{7} x^{2}(2\\theta+1)(4\\theta+5)(8\\theta+5)(8\\theta+9)", "superseek": "-12 -1668", "discriminant": "2 1 -512 65536", "aesz": "406", "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "d3a5c69671a7189e15cf1394437380a2", "dim_h": null, "inst": " -12 -186 -1668 -25974 -243552 671682 177300348 8359166898 303112795632 9856817477424", "cleanlist": "True", "n_sing_real": "2", "sol_explicit": "", "n_sing_rational": "2", "n_sing": "2", "laurent": null, "discriminant_tex": "(256z-1)^2", "discr_factors": "65536, (z-1/256)^2", "dm_basis": ["-934817/40000000-934817/40000000*I", "-1+I", "-I", "1", "-1+I", "6-6*I", "I", "0", "0", "-12+12*I", "0", "0", "12-12*I", "0", "0", "0"], "q": "0 1 -116 8670 -507024 25668397 -1171976280 49631564562 -1982182861632 75496123082502", "yuk": "1 -12 -1500 -45048 -1663836 -30444012 145036776 60814019352 4279891787940 220969227970680", "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":["1","-1","1/2","-1/6","0","1","-1","1/2","0","0","1","-1","0","0","0","1"],"monodromy_dm":["1","0","0","0","1","1","0","0","0","-12-12*I","1","0","0","0","-I","1"]},{"re":"1/256","im":"0","approx_re":"0.00390625","approx_im":"0.0","exponents":["0","1/4","1","5/4"],"monodromy":["1.023370425+.23370425e-1*I","1/4-1/4*I","9*I*lambda-9*lambda",".18840283e-1-.18840283e-1*I","1-I","1/2-1/2*I","-1/6+1/6*I","-9*I*lambda+9*lambda","0","3-3*I","1/2-1/2*I","1/4-1/4*I","-12+12*I","0","1-I","-.23370425e-1-1.023370425*I"],"monodromy_dm":["-I","0","I","-1","0","-1+I","-1/4*I","0","0","-20","2-2*I","0","0","-20*I","2+I","1"]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1/2","5/8","9/8","5/4"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -4*(2*X+1)*(46*X^3+53*X^2+45*X+11), -16*(8*X+7)*(64*X^3+312*X^2+440*X+135), 2304*(8*X+3)*(8*X+7)*(8*X+15)*(8*X+19)]", "text": "This is operator \"3.27\" from ...", "degz": 3, "h3": null, "sol": "1 44 6060 972720 182017260 35791099344 7419040168176 1580039635711680 345165714522202860 76690218752572190480", "n_discr_factors": "2", "c3": null, "operator": "4 3 0 0 0 0 1 -44 -268 -572 -608 -368 -15120 -66560 -91264 -47104 -8192 13789440 65691648 95256576 51904512 9437184", "new_number": "3.27", "id": 89, "operator_tex": "\\theta^4-2^{2} x(2\\theta+1)(46\\theta^3+53\\theta^2+45\\theta+11)-2^{4} x^{2}(8\\theta+7)(64\\theta^3+312\\theta^2+440\\theta+135)+2^{8} 3^{2} x^{3}(8\\theta+3)(8\\theta+7)(8\\theta+15)(8\\theta+19)", "superseek": "-60 -61780", "discriminant": "3 1 -368 -8192 9437184", "aesz": "408", "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "32ab77c73baf49023973ad11e5d0852e", "dim_h": null, "inst": " -60 975 -61780 4166460 -1853578608/5 37867183125 -4257618836340 513227769651180 -65192640792060760 43160826739499864412/5", "cleanlist": "True", "n_sing_real": "3", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "3", "laurent": null, "discriminant_tex": "(144z+1)(-1+256z)^2", "discr_factors": "9437184, z+1/144, (-1/256+z)^2", "dm_basis": null, "q": "0 1 -92 1062 638096 -83158015 5949214488 -288733450062 17312990080064 -3005815073484780", "yuk": "1 -60 7740 -1668120 266661180 -46339465260 8179309894680 -1460363260864680 262772618328065340 -47525435137413962160", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/144","im":"0","approx_re":"-0.00694444444444","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":"1/256","im":"0","approx_re":"0.00390625","approx_im":"0.0","exponents":["0","1/4","1","5/4"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["3/8","7/8","15/8","19/8"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -16-98*X-235*X^2-274*X^3-145*X^4, 8*(2*X+1)*(4*X+5)*(97*X^2+190*X+120), -1296*(4*X+5)*(2*X+3)*(2*X+1)*(4*X+9)]", "text": "This is operator \"3.29\" from ...", "degz": 3, "h3": null, "sol": "1 16 468 17520 774060 38648736 2112034176 123284386368 7552913142060 479729676849280", "n_discr_factors": "2", "c3": null, "operator": "4 3 0 0 0 0 1 -16 -98 -235 -274 -145 4800 21040 32840 23024 6208 -174960 -684288 -876096 -456192 -82944", "new_number": "3.29", "id": 91, "operator_tex": "\\theta^4-x\\left(16+98\\theta+235\\theta^2+274\\theta^3+145\\theta^4\\right)+2^{3} x^{2}(2\\theta+1)(4\\theta+5)(97\\theta^2+190\\theta+120)-2^{4} 3^{4} x^{3}(4\\theta+5)(2\\theta+3)(2\\theta+1)(4\\theta+9)", "superseek": "3 237", "discriminant": "3 1 -145 6208 -82944", "aesz": "411", "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "767c4e8d5a7bc53fbbd0d49797e65358", "dim_h": null, "inst": " 3 36 237 4638 72330 1663524 250626066/7 906864822 22842286617 620661630876", "cleanlist": "True", "n_sing_real": "3", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "3", "laurent": null, "discriminant_tex": "-(81z-1)(-1+32z)^2", "discr_factors": "-82944, z-1/81, (-1/32+z)^2", "dm_basis": null, "q": "0 1 -34 927 -25016 636071 -16172766 397813539 -9879941312 238196736342", "yuk": "1 3 291 6402 297123 9041253 359327874 12280677237 464315085987 16652026950195", "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":"1/81","im":"0","approx_re":"0.0123456790123","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/32","im":"0","approx_re":"0.03125","approx_im":"0.0","exponents":["0","1/4","1","5/4"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1/2","5/4","3/2","9/4"],"monodromy":[],"monodromy_dm":[]}]}]}