{"count": 2, "status":"OK", "data":[{"pols": "[49*X^4, -3598*X^4-7280*X^3-6090*X^2-2450*X-392, 53988*X^4+222144*X^3+324888*X^2+201348*X+45584, -137608*X^4-919968*X^3-1987728*X^2-1621032*X-443296, -92192*X^4-474688*X^3-770400*X^2-507856*X-118592, -96*(4*X+5)*(3*X+2)*(3*X+4)*(4*X+3)]", "text": "This is operator \"5.10\" from ...", "degz": 5, "h3": "56", "sol": "1 8 144 3680 114400 4007808 151802784 6070154112 252560008800 10831854176000", "n_discr_factors": "4", "c3": "-78", "operator": "4 5 0 0 0 0 49 -392 -2450 -6090 -7280 -3598 45584 201348 324888 222144 53988 -443296 -1621032 -1987728 -919968 -137608 -118592 -507856 -770400 -474688 -92192 -11520 -50496 -80544 -55296 -13824", "new_number": "5.10", "id": 192, "operator_tex": "7^{2} \\theta^4-2 7 x\\left(257\\theta^4+520\\theta^3+435\\theta^2+175\\theta+28\\right)+2^{2} x^{2}\\left(13497\\theta^4+55536\\theta^3+81222\\theta^2+50337\\theta+11396\\right)-2^{3} x^{3}\\left(17201\\theta^4+114996\\theta^3+248466\\theta^2+202629\\theta+55412\\right)-2^{4} x^{4}\\left(5762\\theta^4+29668\\theta^3+48150\\theta^2+31741\\theta+7412\\right)-2^{5} 3 x^{5}(4\\theta+5)(3\\theta+2)(3\\theta+4)(4\\theta+3)", "superseek": "30/7 124", "discriminant": "5 49 -3598 53988 -137608 -92192 -13824", "aesz": "59", "n_sing_complex": "0", "inst_int": "", "c2h": "92", "hash": "f47563daeb0f7328bd675f13cfb84a55", "dim_h": "17", "inst": " 30/7 129/14 124 72129/56 130434/7 2064581/7 36176970/7 1355749161/14 13366726990/7 549282494475/14", "cleanlist": "True", "n_sing_real": "5", "sol_explicit": "", "n_sing_rational": "5", "n_sing": "5", "laurent": null, "discriminant_tex": "-(4z-1)(16z-1)(54z-1)(7+2z)^2", "discr_factors": "-13824, z-1/54, z-1/4, (7/2+z)^2, z-1/16", "dm_basis": null, "q": "0 1 -18 201 -2364 21756 -253410 1628554 -30934248 -60999180", "yuk": "1 30/7 78 23466/7 577578/7 16304280/7 445973478/7 12408700740/7 347072362794/7 9744343999176/7", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-7/2","im":"0","approx_re":"-3.5","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":"1/54","im":"0","approx_re":"0.0185185185185","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":"1/4","im":"0","approx_re":"0.25","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":["2/3","3/4","5/4","4/3"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[25*X^4, -720*X^4+12720*X^3+9760*X^2+3400*X+500, -340816*X^4-434368*X^3+1390224*X^2+1009760*X+239600, 5000960*X^4-75344640*X^3-32364800*X^2+13923840*X+9153280, 663428096*X^4-1805109248*X^3-5426021376*X^2-4251594752*X-1072927744, 342196224*(4*X+5)*(3*X+2)*(3*X+4)*(4*X+3)]", "text": "This is operator \"5.52\" from ...", "degz": 5, "h3": null, "sol": "1 -20 684 -32240 1969900 -140379120 10801148400 -869448127680 72451088433900 -6214905203078000", "n_discr_factors": "3", "c3": null, "operator": "4 5 0 0 0 0 25 500 3400 9760 12720 -720 239600 1009760 1390224 -434368 -340816 9153280 13923840 -32364800 -75344640 5000960 -1072927744 -4251594752 -5426021376 -1805109248 663428096 41063546880 179995213824 287102631936 197105025024 49276256256", "new_number": "5.52", "id": 263, "operator_tex": "5^{2} \\theta^4-2^{2} 5 x\\left(36\\theta^4-636\\theta^3-488\\theta^2-170\\theta-25\\right)-2^{4} x^{2}\\left(21301\\theta^4+27148\\theta^3-86889\\theta^2-63110\\theta-14975\\right)+2^{8} 5 x^{3}\\left(3907\\theta^4-58863\\theta^3-25285\\theta^2+10878\\theta+7151\\right)+2^{10} 59 x^{4}\\left(10981\\theta^4-29878\\theta^3-89811\\theta^2-70372\\theta-17759\\right)+2^{15} 3 59^{2} x^{5}(4\\theta+5)(3\\theta+2)(3\\theta+4)(4\\theta+3)", "superseek": "-232/5 -122168/5", "discriminant": "5 25 -720 -340816 5000960 663428096 49276256256", "aesz": "252", "n_sing_complex": "2", "inst_int": "", "c2h": null, "hash": "cae57e93a6afb98313f62899d1f75e2e", "dim_h": null, "inst": " -232/5 -7499/10 -122168/5 -4503443/5 -200467616/5 -19296162041/10 -502767574136/5 -54775768970643/10 -310784583462160 -90689567211431134/5", "cleanlist": "True", "n_sing_real": "3", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "5", "laurent": null, "discriminant_tex": "(108z+1)(2048z^2+52z+1)(-5+472z)^2", "discr_factors": "49276256256, z^2+13/512*z+1/2048, z+1/108, (-5/472+z)^2", "dm_basis": null, "q": "0 1 56 3214 201824 12937265 844771024 55869094922 3739124425088 252649090928836", "yuk": "1 -232/5 -30228/5 -3298768/5 -57650116 -25058452232/5 -2083988829192/5 -34489855585776 -14022597144735188/5 -1132809806722871968/5", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-13/1024","im":"-7/1024*7^(1/2)","approx_re":"-0.0126953125","approx_im":"-0.018086","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-13/1024","im":"7/1024*7^(1/2)","approx_re":"-0.0126953125","approx_im":"0.018086","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/108","im":"0","approx_re":"-0.00925925925926","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":"5/472","im":"0","approx_re":"0.010593220339","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":["2/3","3/4","5/4","4/3"],"monodromy":[],"monodromy_dm":[]}]}]}