{"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": "[49*X^4, -14*X*(46*X^3+52*X^2+33*X+7), -25088-106680*X-170532*X^2-115392*X^3-29328*X^4, -561568-1780464*X-1927728*X^2-716160*X^3-45760*X^4, -1561088-3332608*X-379392*X^2+3031040*X^3+1141760*X^4, 3112960+17940480*X+32292864*X^2+21626880*X^3+2850816*X^4, 3670016+11010048*X+4718592*X^2-12582912*X^3-11534336*X^4, -33554432*(X+1)^4]", "text": "This is operator \"7.1\" from ...", "degz": 7, "h3": "56", "sol": "1 0 32 288 7776 144000 3552800 82320000 2087125600 52959513600", "n_discr_factors": "4", "c3": "-64", "operator": "4 7 0 0 0 0 49 0 -98 -462 -728 -644 -25088 -106680 -170532 -115392 -29328 -561568 -1780464 -1927728 -716160 -45760 -1561088 -3332608 -379392 3031040 1141760 3112960 17940480 32292864 21626880 2850816 3670016 11010048 4718592 -12582912 -11534336 -33554432 -134217728 -201326592 -134217728 -33554432", "new_number": "7.1", "id": 442, "operator_tex": "7^{2} \\theta^4-2 7 x\\theta(46\\theta^3+52\\theta^2+33\\theta+7)-2^{2} x^{2}\\left(7332\\theta^4+28848\\theta^3+42633\\theta^2+26670\\theta+6272\\right)-2^{4} x^{3}\\left(2860\\theta^4+44760\\theta^3+120483\\theta^2+111279\\theta+35098\\right)+2^{9} x^{4}\\left(2230\\theta^4+5920\\theta^3-741\\theta^2-6509\\theta-3049\\right)+2^{14} x^{5}\\left(174\\theta^4+1320\\theta^3+1971\\theta^2+1095\\theta+190\\right)-2^{19} x^{6}\\left(22\\theta^4+24\\theta^3-9\\theta^2-21\\theta-7\\right)-2^{25} x^{7}\\left((\\theta+1)^4\\right)", "superseek": "10/7 508/7", "discriminant": "7 49 -644 -29328 -45760 1141760 2850816 -11534336 -33554432", "aesz": null, "n_sing_complex": "0", "inst_int": "", "c2h": "80", "hash": "08ab3cb496250adfa30bc3e24ac63c4f", "dim_h": "16", "inst": " 10/7 100/7 508/7 808 59910/7 855864/7 12382494/7 200115472/7 3327848026/7 58373507100/7", "cleanlist": "True", "n_sing_real": "5", "sol_explicit": "", "n_sing_rational": "5", "n_sing": "5", "laurent": null, "discriminant_tex": "-(16z+1)(32z-1)(32z-7)^2(4z+1)^3", "discr_factors": "-33554432, (z+1/4)^3, z-1/32, z+1/16, (z-7/32)^2", "dm_basis": null, "q": "0 1 -2 -71 -236 -580 -16018 -462550 -8253320 -151220156", "yuk": "1 10/7 810/7 13726/7 362794/7 7488760/7 184881150/7 4247195452/7 102459484458/7 2426001224680/7", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/4","im":"0","approx_re":"-0.25","approx_im":"0.0","exponents":["0","1/2","3/2","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":"1/32","im":"0","approx_re":"0.03125","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"7/32","im":"0","approx_re":"0.21875","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","1","1","1"],"monodromy":[],"monodromy_dm":[]}]}]}