{"count": 2, "status":"OK", "data":[{"id": 408, "new_number": "6.24", "degz": 6, "operator": "4 6 0 0 0 0 729 486 1701 1701 0 0 -142560 -461214 -585387 -354780 -88695 -1203984 -3155436 -3076002 -1349460 -224910 21404592 49030128 39883068 13812768 1726596 75055680 156366000 109456200 31273200 3127320 -453152000 -883646400 -555111200 -135945600 -11328800", "operator_tex": "3^{6} \\theta^4+3^{5} x\\left(7\\theta^2+7\\theta+2\\right)-3^{4} x^{2}\\left(1095\\theta^4+4380\\theta^3+7227\\theta^2+5694\\theta+1760\\right)-2 3^{3} x^{3}(\\theta+2)(\\theta+1)(4165\\theta^2+12495\\theta+11148)+2^{2} 3^{2} x^{4}(47961\\theta^2+191844\\theta+148643)(\\theta+2)^2+2^{3} 3^{2} 5 7 17 73 x^{5}(\\theta+1)(\\theta+2)(\\theta+3)(\\theta+4)-2^{5} 5^{2} 7^{2} 17^{2} x^{6}(\\theta+5)(\\theta+4)(\\theta+2)(\\theta+1)", "hash": "aebe18b25bf886c4483ce54370c0fcbe", "dm_basis": null, "cleanlist": "True", "text": "This is operator \"6.24\" from ...", "discriminant": "6 729 0 -88695 -224910 1726596 3127320 -11328800", "discriminant_tex": "-(7z-3)(34z-3)(17z+3)(20z+3)(10z-3)(14z+3)", "n_discr_factors": "6", "discr_factors": "-11328800, z-3/34, z-3/10, z+3/20, z-3/7, z+3/14, z+3/17", "inst": " 1/3 5/6 5/3 19/3 29 281/2 702 11624/3 67528/3 272197/2", "inst_int": "", "gv0": null, "gv1": null, "gv2": null, "n_sing": "7", "n_sing_complex": "0", "n_sing_real": "7", "n_sing_rational": "7", "c3": null, "c2h": null, "h3": null, "dim_h": null, "sol": "1 -2/3 112/9 -8/27 29500/81 221368/243 12431944/729 206859616/2187 7276420876/6561 169125672520/19683", "yuk": "1 1/3 7 136/3 1237/3 10876/3 30400 722359/3 5952725/3 49228048/3", "q": "0 1 -1/3 -134/9 -271/27 12826/81 -14446/243 -2486591/729 -11054017/2187 95735548/6561", "sol_explicit": "", "laurent": null, "pols": "[729*X^4, 1701*X^2+486+1701*X, -461214*X-142560-354780*X^3-585387*X^2-88695*X^4, -54*(X+2)*(X+1)*(4165*X^2+12495*X+11148), 36*(47961*X^2+191844*X+148643)*(X+2)^2, 3127320*(X+1)*(X+2)*(X+3)*(X+4), -11328800*(X+5)*(X+4)*(X+2)*(X+1)]", "aesz": null, "superseek": "1/3 5/3", "spectrum":[{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"3/34","im":"0","approx_re":"0.0882352941176","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":["1","2","4","5"],"monodromy":[],"monodromy_dm":[]},{"re":"-3/14","im":"0","approx_re":"-0.214285714286","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-3/17","im":"0","approx_re":"-0.176470588235","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"3/10","im":"0","approx_re":"0.3","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-3/20","im":"0","approx_re":"-0.15","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"3/7","im":"0","approx_re":"0.428571428571","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]}]}, {"id": 449, "new_number": "7.6", "degz": 7, "operator": "4 7 0 0 0 0 9 -36 -189 -399 -420 -336 1488 6360 10903 9340 4393 1824 -16920 -54038 -55440 -23338 -210688 -476672 -328732 -41152 27196 804160 2316048 2381960 1016288 146216 413952 -37632 -1301440 -1110144 -260288 -4214784 -9834496 -8078336 -2809856 -351232", "operator_tex": "3^{2} \\theta^4-3 x\\left(112\\theta^4+140\\theta^3+133\\theta^2+63\\theta+12\\right)+x^{2}\\left(4393\\theta^4+9340\\theta^3+10903\\theta^2+6360\\theta+1488\\right)-2 x^{3}\\left(11669\\theta^4+27720\\theta^3+27019\\theta^2+8460\\theta-912\\right)+2^{2} x^{4}\\left(6799\\theta^4-10288\\theta^3-82183\\theta^2-119168\\theta-52672\\right)+2^{3} 7 x^{5}(\\theta+1)(2611\\theta^3+15537\\theta^2+26998\\theta+14360)-2^{6} 7^{2} x^{6}(\\theta+1)(\\theta+2)(83\\theta^2+105\\theta-66)-2^{10} 7^{3} x^{7}(\\theta+1)(\\theta+2)^2(\\theta+3)", "hash": "24ba77c97bc4b46c39a41c77cc1d1ef4", "dm_basis": null, "cleanlist": "True", "text": "This is operator \"7.6\" from ...", "discriminant": "7 9 -336 4393 -23338 27196 146216 -260288 -351232", "discriminant_tex": "-(2z+1)(8z-1)(7z-1)(16z-1)(z+1)(-3+14z)^2", "n_discr_factors": "6", "discr_factors": "-351232, z-1/8, z+1, z+1/2, z-1/16, z-1/7, (-3/14+z)^2", "inst": " 1/3 5/6 5/3 19/3 29 281/2 702 11624/3 67528/3 272197/2", "inst_int": "", "gv0": null, "gv1": null, "gv2": null, "n_sing": "7", "n_sing_complex": "0", "n_sing_real": "7", "n_sing_rational": "7", "c3": null, "c2h": null, "h3": null, "dim_h": null, "sol": "1 4 28 232 2188 22624 250936 2937232 35844748 451950352", "yuk": "1 1/3 7 136/3 1237/3 10876/3 30400 722359/3 5952725/3 49228048/3", "q": "0 1 -5 10 5 -150 370 -583 -4805 -2132", "sol_explicit": "", "laurent": null, "pols": "[9*X^4, -336*X^4-420*X^3-399*X^2-189*X-36, 4393*X^4+9340*X^3+10903*X^2+6360*X+1488, -23338*X^4-55440*X^3-54038*X^2-16920*X+1824, 27196*X^4-41152*X^3-328732*X^2-476672*X-210688, 56*(X+1)*(2611*X^3+15537*X^2+26998*X+14360), -3136*(X+1)*(X+2)*(83*X^2+105*X-66), -351232*(X+1)*(X+2)^2*(X+3)]", "aesz": null, "superseek": "1/3 5/3", "spectrum":[{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"1/7","im":"0","approx_re":"0.142857142857","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":["1","2","2","3"],"monodromy":[],"monodromy_dm":[]},{"re":"3/14","im":"0","approx_re":"0.214285714286","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"1/8","im":"0","approx_re":"0.125","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":"1/16","im":"0","approx_re":"0.0625","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1","im":"0","approx_re":"-1.0","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]}]}]}