{"count": 2, "status":"OK", "data":[{"pols": "[X^4, -6*(2*X+1)^2*(9*X^2+9*X+5), 2916*(2*X+1)*(X+1)^2*(2*X+3)]", "text": "Hadamard product $I \\ast \\iota$", "degz": 2, "h3": null, "sol": "1 30 1782 129900 10463670 894351780 79506157500 7268449719960 678536243277750 64381774028157300", "n_discr_factors": "1", "c3": null, "operator": "4 2 0 0 0 0 1 -30 -174 -390 -432 -216 8748 40824 67068 46656 11664", "new_number": "2.58", "id": 53, "operator_tex": "\\theta^4-2 3 x(2\\theta+1)^2(9\\theta^2+9\\theta+5)+2^{2} 3^{6} x^{2}(2\\theta+1)(\\theta+1)^2(2\\theta+3)", "superseek": "-6 -104", "discriminant": "2 1 -216 11664", "aesz": "46", "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "2226ec115674e71c483ba2c0350e8adf", "dim_h": null, "inst": " -6 -6 -104 36 -4812 37984 -444900 7911900 -81187538 1584490908", "cleanlist": "True", "n_sing_real": "2", "sol_explicit": "", "n_sing_rational": "2", "n_sing": "2", "laurent": null, "discriminant_tex": "(108z-1)^2", "discr_factors": "11664, (z-1/108)^2", "dm_basis": ["1/2-36*lambda", "-3", "5/6", "1", "0", "12", "-1", "0", "6", "-36", "0", "0", "36", "0", "0", "0"], "q": "0 1 -54 2079 -67356 1981287 -54730890 1447035885 -37047063960 925398152064", "yuk": "1 -6 -54 -2814 2250 -601506 8201682 -152600706 4050895050 -59185718016", "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","-36","1","0","0","0","1","1"]},{"re":"1/108","im":"0","approx_re":"0.00925925925926","approx_im":"0.0","exponents":["0","1/6","5/6","1"],"monodromy":["1/2+36*lambda","1/4+6*lambda","0",".19987912e-1","0","1","0","0","-6","3","1","1/4-6*lambda","-36","-6","0","1/2-36*lambda"],"monodromy_dm":["0","1","-666667/1000000","-1","-333333/1000000","-333333/1000000","111111/1000000","0","-4","-16","2333333/1000000","0","3333333/1000000","13333333/1000000","-1111111/1000000","1"]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1/2","1","1","3/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -380*X^4-616*X^3-454*X^2-146*X-18, 19120*X^4+25216*X^3+9580*X^2+2568*X+540, -321600*X^4-406656*X^3-365136*X^2-173520*X-31104, 1152*(2*X+1)*(760*X^3+1464*X^2+1211*X+375), -746496*(2*X+1)*(X+1)^2*(2*X+3)]", "text": "This is operator \"5.109\" from ...", "degz": 5, "h3": null, "sol": "1 18 1782 276660 52396470 11120006268 2541130506684 611646862545576 152996910629924790 39422206347956983980", "n_discr_factors": "3", "c3": null, "operator": "4 5 0 0 0 0 1 -18 -146 -454 -616 -380 540 2568 9580 25216 19120 -31104 -173520 -365136 -406656 -321600 432000 2259072 4476672 4248576 1751040 -2239488 -10450944 -17169408 -11943936 -2985984", "new_number": "5.109", "id": 191, "operator_tex": "\\theta^4-2 x\\left(190\\theta^4+308\\theta^3+227\\theta^2+73\\theta+9\\right)+2^{2} x^{2}\\left(4780\\theta^4+6304\\theta^3+2395\\theta^2+642\\theta+135\\right)-2^{4} 3 x^{3}\\left(6700\\theta^4+8472\\theta^3+7607\\theta^2+3615\\theta+648\\right)+2^{7} 3^{2} x^{4}(2\\theta+1)(760\\theta^3+1464\\theta^2+1211\\theta+375)-2^{10} 3^{6} x^{5}(2\\theta+1)(\\theta+1)^2(2\\theta+3)", "superseek": "50 68472", "discriminant": "5 1 -380 19120 -321600 1751040 -2985984", "aesz": "373", "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "8b0fbfc0016c3fb02fd42d4ff919e0f8", "dim_h": null, "inst": " 50 1299 68472 5536032 555252324 63681370020 8019074485356 1081455690635976 153688981728011670 22762847713147431542", "cleanlist": "True", "n_sing_real": "4", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "4", "laurent": null, "discriminant_tex": "-(-1+324z)(24z-1)^2(4z-1)^2", "discr_factors": "-2985984, (z-1/4)^2, (z-1/24)^2, -1/324+z", "dm_basis": null, "q": "0 1 -74 831 -59428 -5785081 -780141174 -110687328275 -16669325292008 -2616158955916800", "yuk": "1 50 10442 1848794 354316490 69406540550 13755177783506 2750542548477158 553705313959936202 112039267679722356224", "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":"1/324","im":"0","approx_re":"0.00308641975309","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/24","im":"0","approx_re":"0.0416666666667","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"1/4","im":"0","approx_re":"0.25","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"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":[]}]}]}