{"count": 2, "status":"OK", "data":[{"id": 406, "new_number": "6.22", "degz": 6, "operator": "4 6 0 0 0 0 4096 -13312 -78848 -187392 -217088 -108544 -36096 -60928 -11008 19456 4864 2739264 7532928 7674240 3442176 573696 2294352 4620672 3290976 1067904 133488 -13018320 -27915300 -20136060 -5821200 -582120 -11907000 -23218650 -14586075 -3572100 -297675", "operator_tex": "2^{12} \\theta^4-2^{10} x\\left(106\\theta^4+212\\theta^3+183\\theta^2+77\\theta+13\\right)+2^{8} x^{2}\\left(19\\theta^4+76\\theta^3-43\\theta^2-238\\theta-141\\right)+2^{6} 3 x^{3}\\left(2988\\theta^4+17928\\theta^3+39970\\theta^2+39234\\theta+14267\\right)+2^{4} 3^{3} x^{4}\\left(309\\theta^4+2472\\theta^3+7618\\theta^2+10696\\theta+5311\\right)-2^{2} 3^{3} 5 7^{2} x^{5}(\\theta+4)(\\theta+1)(22\\theta^2+110\\theta+123)-3^{5} 5^{2} 7^{2} x^{6}(\\theta+5)(\\theta+4)(\\theta+2)(\\theta+1)", "hash": "24fee66b67ff1a8a852f7a562f7665c1", "dm_basis": null, "cleanlist": "True", "text": "", "discriminant": "6 4096 -108544 4864 573696 133488 -582120 -297675", "discriminant_tex": "-(7z+4)(5z-4)(105z-4)(9z-4)(4+3z)^2", "n_discr_factors": "5", "discr_factors": "-297675, z-4/5, (4/3+z)^2, z-4/105, z+4/7, z-4/9", "inst": " 5/4 57/16 35/2 459/4 3615/4 97217/12 317945/4 833711 110476691/12 1694285265/16", "inst_int": "", "gv0": null, "gv1": null, "gv2": null, "n_sing": "6", "n_sing_complex": "0", "n_sing_real": "6", "n_sing_rational": "6", "c3": null, "c2h": null, "h3": null, "dim_h": null, "sol": "1 13/4 489/16 25429/64 1591057/256 110743773/1024 8268378489/4096 648768717477/16384 52825253770017/65536 4426370568340141/262144", "yuk": "1 5/4 119/4 1895/4 29495/4 112970 7001633/4 27263785 1707469623/4 6711459452", "q": "0 1 -25/4 81/16 -713/64 -73087/256 -1774713/1024 -94067023/4096 -4335269673/16384 -209855999007/65536", "sol_explicit": "", "laurent": null, "pols": "[4096*X^4, -78848*X-13312-187392*X^2-217088*X^3-108544*X^4, -11008*X^2-36096+4864*X^4-60928*X+19456*X^3, 2739264+7532928*X+7674240*X^2+573696*X^4+3442176*X^3, 2294352+3290976*X^2+133488*X^4+4620672*X+1067904*X^3, -26460*(X+4)*(X+1)*(22*X^2+110*X+123), -297675*(X+5)*(X+4)*(X+2)*(X+1)]", "aesz": "376", "superseek": "5/4 35/2", "spectrum":[{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"-4/7","im":"0","approx_re":"-0.571428571429","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"4/9","im":"0","approx_re":"0.444444444444","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":"-4/3","im":"0","approx_re":"-1.33333333333","approx_im":"0.0","exponents":["0","1/3","2/3","1"],"monodromy":[],"monodromy_dm":[]},{"re":"4/105","im":"0","approx_re":"0.0380952380952","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"4/5","im":"0","approx_re":"0.8","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]}]}, {"id": 486, "new_number": "8.40", "degz": 8, "operator": "4 8 0 0 0 0 16 0 -48 -212 -328 -8 -5120 -18308 -26199 -18410 -4895 -143808 -430092 -497452 -272424 -60679 -1478544 -3987101 -4034628 -1870838 -344527 -7492832 -18718938 -17073889 -6924292 -1076509 -20181216 -47269092 -39366058 -14167956 -1889774 -27575808 -60899072 -46538752 -14939392 -1723904 -14926080 -31096000 -21767200 -6219200 -621920", "operator_tex": "2^{4} \\theta^4-2^{2} x\\theta(2\\theta^3+82\\theta^2+53\\theta+12)-x^{2}\\left(4895\\theta^4+18410\\theta^3+26199\\theta^2+18308\\theta+5120\\right)-x^{3}\\left(60679\\theta^4+272424\\theta^3+497452\\theta^2+430092\\theta+143808\\right)-x^{4}\\left(344527\\theta^4+1870838\\theta^3+4034628\\theta^2+3987101\\theta+1478544\\right)-x^{5}(\\theta+1)(1076509\\theta^3+5847783\\theta^2+11226106\\theta+7492832)-2 x^{6}(\\theta+1)(\\theta+2)(944887\\theta^2+4249317\\theta+5045304)-2^{8} 13 x^{7}(\\theta+3)(\\theta+2)(\\theta+1)(518\\theta+1381)-2^{5} 5 13^{2} 23 x^{8}(\\theta+1)(\\theta+2)(\\theta+3)(\\theta+4)", "hash": "d3cb0fbbc65d6c5dace733d3d1ca181b", "dm_basis": null, "cleanlist": "True", "text": "This is operator \"8.40\" from ...", "discriminant": "8 16 -8 -4895 -60679 -344527 -1076509 -1889774 -1723904 -621920", "discriminant_tex": "-(23z-1)(5z+1)(2z+1)(z+1)(13z+4)^2(4z+1)^2", "n_discr_factors": "6", "discr_factors": "-621920, z+1/5, z+1/2, (z+4/13)^2, (z+1/4)^2, z-1/23, z+1", "inst": " 5/4 57/16 35/2 459/4 3615/4 97217/12 317945/4 833711 110476691/12 1694285265/16", "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 0 20 168 2652 40080 666920 11536560 207013660 3816224160", "yuk": "1 5/4 119/4 1895/4 29495/4 112970 7001633/4 27263785 1707469623/4 6711459452", "q": "0 1 -3 -25 -15 88 -2373 -34656 -361587 -4196900", "sol_explicit": "", "laurent": null, "pols": "[16*X^4, -4*X*(2*X^3+82*X^2+53*X+12), -4895*X^4-18410*X^3-26199*X^2-18308*X-5120, -60679*X^4-272424*X^3-497452*X^2-430092*X-143808, -344527*X^4-1870838*X^3-4034628*X^2-3987101*X-1478544, -(X+1)*(1076509*X^3+5847783*X^2+11226106*X+7492832), -2*(X+1)*(X+2)*(944887*X^2+4249317*X+5045304), -3328*(X+3)*(X+2)*(X+1)*(518*X+1381), -621920*(X+1)*(X+2)*(X+3)*(X+4)]", "aesz": null, "superseek": "5/4 35/2", "spectrum":[{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1","2","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"1/23","im":"0","approx_re":"0.0434782608696","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-4/13","im":"0","approx_re":"-0.307692307692","approx_im":"0.0","exponents":["0","1","3","4"],"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":"-1/5","im":"0","approx_re":"-0.2","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","1/3","2/3","1"],"monodromy":[],"monodromy_dm":[]},{"re":"-1","im":"0","approx_re":"-1.0","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]}]}]}