{"count": 2, "status":"OK", "data":[{"pols": "[4*X^4, 36+132*X+154*X^2+44*X^3+148*X^4, 5778+15750*X+20115*X^2+10854*X^3+873*X^4, 303750+695628*X+594621*X^2+316710*X^3+10206*X^4, 15910425+27497151*X+19225188*X^2+4430862*X^3+606528*X^4, 517190508+761646807*X+411072894*X^2+82301184*X^3+2899962*X^4, 9761153994+11368644921*X+4347718821*X^2+302685174*X^3-60938568*X^4, 75991811472+44252029188*X-12655735974*X^2-12475046034*X^3-1522047024*X^4, -475924547376-1055849972688*X-698213031651*X^2-169422327918*X^3-8948934999*X^4, -12571020027072-14198186080872*X-5253680111166*X^2-540839002644*X^3+39000329226*X^4, 9298091736*(X+3)*(86*X^3+414*X^2+181*X-936), 251048476872*(X+4)*(X+3)*(21*X^2+137*X+224), 4518872583696*(X+3)*(X+5)*(X+4)^2]", "text": "This is operator \"12.14\" from ...", "degz": 12, "h3": null, "sol": "1 -9 -18 747 -5751 7452 706383 -5781699 -46465002 48980637", "n_discr_factors": "5", "c3": null, "operator": "4 12 0 0 0 0 4 36 132 154 44 148 5778 15750 20115 10854 873 303750 695628 594621 316710 10206 15910425 27497151 19225188 4430862 606528 517190508 761646807 411072894 82301184 2899962 9761153994 11368644921 4347718821 302685174 -60938568 75991811472 44252029188 -12655735974 -12475046034 -1522047024 -475924547376 -1055849972688 -698213031651 -169422327918 -8948934999 -12571020027072 -14198186080872 -5253680111166 -540839002644 39000329226 -26109041594688 -3654150052248 13231184540328 6248317646592 799635889296 674818305831936 806367707712864 360254564311320 71297767431648 5272018014312 1084529420087040 1120680400756608 429292895451120 72301961339136 4518872583696", "new_number": "12.14", "id": 351, "operator_tex": "2^{2} \\theta^4+2 x\\left(74\\theta^4+22\\theta^3+77\\theta^2+66\\theta+18\\right)+3^{2} x^{2}\\left(97\\theta^4+1206\\theta^3+2235\\theta^2+1750\\theta+642\\right)+3^{4} x^{3}\\left(126\\theta^4+3910\\theta^3+7341\\theta^2+8588\\theta+3750\\right)+3^{6} x^{4}\\left(832\\theta^4+6078\\theta^3+26372\\theta^2+37719\\theta+21825\\right)+3^{8} x^{5}\\left(442\\theta^4+12544\\theta^3+62654\\theta^2+116087\\theta+78828\\right)-3^{10} x^{6}\\left(1032\\theta^4-5126\\theta^3-73629\\theta^2-192529\\theta-165306\\right)-2 3^{12} x^{7}\\left(1432\\theta^4+11737\\theta^3+11907\\theta^2-41634\\theta-71496\\right)-3^{14} x^{8}\\left(1871\\theta^4+35422\\theta^3+145979\\theta^2+220752\\theta+99504\\right)+2 3^{17} x^{9}\\left(151\\theta^4-2094\\theta^3-20341\\theta^2-54972\\theta-48672\\right)+2^{3} 3^{19} x^{10}(\\theta+3)(86\\theta^3+414\\theta^2+181\\theta-936)+2^{3} 3^{22} x^{11}(\\theta+4)(\\theta+3)(21\\theta^2+137\\theta+224)+2^{4} 3^{24} x^{12}(\\theta+3)(\\theta+5)(\\theta+4)^2", "superseek": "7/2 237/2", "discriminant": "12 4 148 873 10206 606528 2899962 -60938568 -1522047024 -8948934999 39000329226 799635889296 5272018014312 4518872583696", "aesz": null, "n_sing_complex": "4", "inst_int": "", "c2h": null, "hash": "614b95fc4275078df0800c7546870e7f", "dim_h": null, "inst": " 7/2 -193/8 237/2 -6119/4 16307 -1535413/8 5120029/2 -140398331/4 489886511 -28867222625/4", "cleanlist": "True", "n_sing_real": "5", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "9", "laurent": null, "discriminant_tex": "(9z+1)(z+1)(324z^2-18z+1)(81z^2+9z+1)^2(486z^2-27z-2)^2", "discr_factors": "4518872583696, z+1/9, z^2-1/18*z+1/324, (z^2-1/18*z-1/243)^2, (z^2+1/9*z+1/81)^2, z+1", "dm_basis": null, "q": "0 1 -3 57 -301 7197 -82503 1304292 -19182963 306007974", "yuk": "1 7/2 -379/2 3203 -196187/2 4076757/2 -41453141 878084977 -35942168923/2 357127269722", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1","im":"0","approx_re":"-1.0","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/9","im":"0","approx_re":"-0.111111111111","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/18","im":"-1/18*3^(1/2)","approx_re":"-0.0555555555556","approx_im":"-0.096225","exponents":["0","0","-1","1"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/18","im":"1/18*3^(1/2)","approx_re":"-0.0555555555556","approx_im":"0.096225","exponents":["0","0","-1","1"],"monodromy":[],"monodromy_dm":[]},{"re":"1/36-1/108*57^(1/2)","im":"0","approx_re":"-0.042128","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":"1/36","im":"-1/36*3^(1/2)","approx_re":"0.0277777777778","approx_im":"-0.048113","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/36","im":"1/36*3^(1/2)","approx_re":"0.0277777777778","approx_im":"0.048113","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/36+1/108*57^(1/2)","im":"0","approx_re":"0.097684","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":["3","4","4","5"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -741*X^2-84-702*X^3-189*X^4-390*X, 84564*X^3+57672+195534*X^2+1458*X^4+171396*X, -6088608-6386040*X^2+1180980*X^4-12203460*X+2361960*X^3, -385944264*X-648121824*X^2-29760696*X^4-365631408*X^3-41570496, 16045266672*X-1836660096*X^3+8290479600*X^2-1836660096*X^4+7856823744, 1377495072*(3*X+5)*(3*X+4)*(2*X+3)^2]", "text": "This is operator \"6.35\" from ...", "degz": 6, "h3": null, "sol": "1 84 7452 692688 66448116 6513064848 648237493296 65250781987968 6624881063467092 677185739050601424", "n_discr_factors": "4", "c3": null, "operator": "4 6 0 0 0 0 1 -84 -390 -741 -702 -189 57672 171396 195534 84564 1458 -6088608 -12203460 -6386040 2361960 1180980 -41570496 -385944264 -648121824 -365631408 -29760696 7856823744 16045266672 8290479600 -1836660096 -1836660096 247949112960 665330119776 668085109920 297538935552 49589822592", "new_number": "6.35", "id": 420, "operator_tex": "\\theta^4-3 x\\left(63\\theta^4+234\\theta^3+247\\theta^2+130\\theta+28\\right)+2 3^{4} x^{2}\\left(9\\theta^4+522\\theta^3+1207\\theta^2+1058\\theta+356\\right)+2^{2} 3^{7} x^{3}\\left(135\\theta^4+270\\theta^3-730\\theta^2-1395\\theta-696\\right)-2^{3} 3^{10} x^{4}\\left(63\\theta^4+774\\theta^3+1372\\theta^2+817\\theta+88\\right)-2^{4} 3^{13} x^{5}\\left(72\\theta^4+72\\theta^3-325\\theta^2-629\\theta-308\\right)+2^{5} 3^{16} x^{6}(3\\theta+5)(3\\theta+4)(2\\theta+3)^2", "superseek": null, "discriminant": "6 1 -189 1458 1180980 -29760696 -1836660096 49589822592", "aesz": null, "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "de26083962cade55a4938b4011d0008e", "dim_h": null, "inst": " 21 -1617/4 7941 -986355/4 8179455 -1227169941/4 12151571244 -1015240586355/2 21975670374150 -3923026912252995/4", "cleanlist": "False", "n_sing_real": "5", "sol_explicit": "", "n_sing_rational": "5", "n_sing": "5", "laurent": null, "discriminant_tex": "(54z-1)(27z-1)(54z+1)^2(108z-1)^2", "discr_factors": "49589822592, (z+1/54)^2, z-1/54, (z-1/108)^2, z-1/27", "dm_basis": null, "q": "0 1 -54 2565 -125676 6195150 -310093758 15690242988 -802117062504 41365068279705", "yuk": "1 21 -3213 214428 -15784893 1022431896 -66266965620 4167988936713 -259901605891773 16020263702969778", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/54","im":"0","approx_re":"-0.0185185185185","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":"1/108","im":"0","approx_re":"0.00925925925926","approx_im":"0.0","exponents":["0","-1/2","1","3/2"],"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":"1/27","im":"0","approx_re":"0.037037037037","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":["4/3","3/2","3/2","5/3"],"monodromy":[],"monodromy_dm":[]}]}]}