{"count": 3, "status":"OK", "data":[{"pols": "[289*X^4, -4046-31790*X-94826*X^2-126072*X^3-64668*X^4, -22644-96424*X-40116*X^2+274304*X^3+249632*X^4, -19176-71196*X-83140*X^2-132192*X^3-264720*X^4, 128*(2*X+1)*(196*X^3+498*X^2+487*X+169), -4096*(2*X+1)*(X+1)^2*(2*X+3)]", "text": "This is operator \"5.30\" from ...", "degz": 5, "h3": "17", "sol": "1 14 978 103820 13387570 1931770764 299940008676 49034333980632 8328608725527090 1456980085586365340", "n_discr_factors": "2", "c3": "-108", "operator": "4 5 0 0 0 0 289 -4046 -31790 -94826 -126072 -64668 -22644 -96424 -40116 274304 249632 -19176 -71196 -83140 -132192 -264720 21632 105600 188416 152576 50176 -12288 -57344 -94208 -65536 -16384", "new_number": "5.30", "id": 239, "operator_tex": "17^{2} \\theta^4-2 17 x\\left(1902\\theta^4+3708\\theta^3+2789\\theta^2+935\\theta+119\\right)+2^{2} x^{2}\\left(62408\\theta^4+68576\\theta^3-10029\\theta^2-24106\\theta-5661\\right)-2^{2} x^{3}\\left(66180\\theta^4+33048\\theta^3+20785\\theta^2+17799\\theta+4794\\right)+2^{7} x^{4}(2\\theta+1)(196\\theta^3+498\\theta^2+487\\theta+169)-2^{12} x^{5}(2\\theta+1)(\\theta+1)^2(2\\theta+3)", "superseek": "478/17 285760/17", "discriminant": "5 289 -64668 249632 -264720 50176 -16384", "aesz": "209\n", "n_sing_complex": "2", "inst_int": "", "c2h": "62", "hash": "a03a0a18a8b2a4926d11e4e42b958f98", "dim_h": "8", "inst": " 478/17 7784/17 285760/17 15280156/17 1006004774/17 75737241572/17 6257539142106/17 553524504129196/17 51587780940385410/17 5010295894830256372/17", "cleanlist": "True", "n_sing_real": "3", "sol_explicit": "", "n_sing_rational": "2", "n_sing": "5", "laurent": null, "discriminant_tex": "-(16z^3-32z^2+220z-1)(-17+32z)^2", "discr_factors": "-16384, z^3-2*z^2+55/4*z-1/16, (-17/32+z)^2", "dm_basis": null, "q": "0 1 -54 713 -21520 -949212 -86515990 -8111414908 -801691231400 -82590394513602", "yuk": "1 478/17 62750/17 7715998/17 977992734/17 125750597228/17 16359251957822/17 2146335925742836/17 283404547092141086/17 37607492305548679888/17", "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":"-1/12*(7354+2838*33^(1/2))^(1/3)+149/3/(7354+2838*33^(1/2))^(1/3)+2/3","im":"0","approx_re":"0.004548","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"17/32","im":"0","approx_re":"0.53125","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"1/24*(7354+2838*33^(1/2))^(1/3)-149/6/(7354+2838*33^(1/2))^(1/3)+2/3","im":"1/4*3^(1/2)*(-1/6*(7354+2838*33^(1/2))^(1/3)-298/3/(7354+2838*33^(1/2))^(1/3))","approx_re":"0.997726","approx_im":"-3.570079","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/24*(7354+2838*33^(1/2))^(1/3)-149/6/(7354+2838*33^(1/2))^(1/3)+2/3","im":"-1/4*3^(1/2)*(-1/6*(7354+2838*33^(1/2))^(1/3)-298/3/(7354+2838*33^(1/2))^(1/3))","approx_re":"0.997726","approx_im":"3.570079","exponents":["0","1","1","2"],"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":[]}]}, {"pols": "[121*X^4, -11913*X^4-17490*X^3-13827*X^2-5082*X-726, 188032*X^4+183616*X^3-13004*X^2-68376*X-19404, -1508928*X^4-4169088*X^3-7697424*X^2-5862384*X-1454112, 4608*(2*X+1)*(1252*X^3+5442*X^2+6767*X+2625), -11943936*(2*X+1)*(X+1)^2*(2*X+3)]", "text": "This is operator \"5.77\" from ...", "degz": 5, "h3": "33", "sol": "1 6 162 6540 314370 16821756 966410676 58383231192 3661694291970 236408314316460", "n_discr_factors": "3", "c3": "-108", "operator": "4 5 0 0 0 0 121 -726 -5082 -13827 -17490 -11913 -19404 -68376 -13004 183616 188032 -1454112 -5862384 -7697424 -4169088 -1508928 12096000 55374336 87441408 55922688 11538432 -35831808 -167215104 -274710528 -191102976 -47775744", "new_number": "5.77", "id": 290, "operator_tex": "11^{2} \\theta^4-3 11 x\\left(361\\theta^4+530\\theta^3+419\\theta^2+154\\theta+22\\right)+2^{2} x^{2}\\left(47008\\theta^4+45904\\theta^3-3251\\theta^2-17094\\theta-4851\\right)-2^{4} 3 x^{3}\\left(31436\\theta^4+86856\\theta^3+160363\\theta^2+122133\\theta+30294\\right)+2^{9} 3^{2} x^{4}(2\\theta+1)(1252\\theta^3+5442\\theta^2+6767\\theta+2625)-2^{14} 3^{6} x^{5}(2\\theta+1)(\\theta+1)^2(2\\theta+3)", "superseek": "69/11 8883/11", "discriminant": "5 121 -11913 188032 -1508928 11538432 -47775744", "aesz": "307", "n_sing_complex": "2", "inst_int": "", "c2h": "78", "hash": "3a2dcd4c59d8fa5b7c57250efeecba62", "dim_h": "12", "inst": " 69/11 620/11 8883/11 171916/11 4334406/11 11275740 3882344490/11 130168148228/11 4597374907287/11 169191991110988/11", "cleanlist": "True", "n_sing_real": "3", "sol_explicit": "", "n_sing_rational": "5", "n_sing": "5", "laurent": null, "discriminant_tex": "-(81z-1)(64z^2+1)(-11+96z)^2", "discr_factors": "-47775744, z^2+1/64, z-1/81, (-11/96+z)^2", "dm_basis": null, "q": "0 1 -18 15 -744 -14937 -806238 -26117077 -969966144 -37931377338", "yuk": "1 69/11 5029/11 21810 11007653/11 541800819/11 26791403110/11 1331644160139/11 66646102900389/11 3351486307652133/11", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"0","im":"-1/8","approx_re":"0.0","approx_im":"-0.125","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":"0","im":"1/8","approx_re":"0.0","approx_im":"0.125","exponents":["0","1","1","2"],"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":"11/96","im":"0","approx_re":"0.114583333333","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":[]}]}, {"pols": "[49*X^4, -98-588*X-1407*X^2-1638*X^3-273*X^4, -15512-68656*X-114922*X^2-86444*X^3-24146*X^4, 128128+323904*X+133572*X^2-193704*X^3-115692*X^4, 428896+1641536*X+2163720*X^2+1018160*X^3+37336*X^4, 16224*(X+1)^2*(6*X+5)*(6*X+7)]", "text": "This is operator \"5.81\" from ...", "degz": 5, "h3": "84", "sol": "1 2 30 308 5950 96252 1973244 38397480 823170366 17515057340", "n_discr_factors": "4", "c3": "-108", "operator": "4 5 0 0 0 0 49 -98 -588 -1407 -1638 -273 -15512 -68656 -114922 -86444 -24146 128128 323904 133572 -193704 -115692 428896 1641536 2163720 1018160 37336 567840 2303808 3488160 2336256 584064", "new_number": "5.81", "id": 295, "operator_tex": "7^{2} \\theta^4-7 x\\left(39\\theta^4+234\\theta^3+201\\theta^2+84\\theta+14\\right)-2 x^{2}\\left(12073\\theta^4+43222\\theta^3+57461\\theta^2+34328\\theta+7756\\right)-2^{2} x^{3}\\left(28923\\theta^4+48426\\theta^3-33393\\theta^2-80976\\theta-32032\\right)+2^{3} 13 x^{4}\\left(359\\theta^4+9790\\theta^3+20805\\theta^2+15784\\theta+4124\\right)+2^{5} 3 13^{2} x^{5}(\\theta+1)^2(6\\theta+5)(6\\theta+7)", "superseek": "5/7 48/7", "discriminant": "5 49 -273 -24146 -115692 37336 584064", "aesz": "312", "n_sing_complex": "0", "inst_int": "", "c2h": "108", "hash": "767262575f8b1458839c1e9a8beacf0a", "dim_h": "23", "inst": " 5/7 239/28 48/7 4451/14 5888/7 177307/7 124308 21455179/7 21345700 3274689851/7", "cleanlist": "True", "n_sing_real": "5", "sol_explicit": "", "n_sing_rational": "5", "n_sing": "5", "laurent": null, "discriminant_tex": "(16z+1)(2z-1)(27z-1)(7+26z)^2", "discr_factors": "584064, z-1/2, z-1/27, (7/26+z)^2, z+1/16", "dm_basis": null, "q": "0 1 -4 -40 248 -1488 -864 -90452 -266448 -17360416", "yuk": "1 5/7 69 1301/7 142915/7 736005/7 38300091/7 298463513/7 1569313509 108927108401/7", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-7/26","im":"0","approx_re":"-0.269230769231","approx_im":"0.0","exponents":["0","1","3","4"],"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":"1/27","im":"0","approx_re":"0.037037037037","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/2","im":"0","approx_re":"0.5","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":["5/6","1","1","7/6"],"monodromy":[],"monodromy_dm":[]}]}]}