{"count": 3, "status":"OK", "data":[{"pols": "[X^4, -108*X^4-216*X^3-54*X^2+54*X+18, -2916*(X+1)^2*(20*X^2+40*X+17), -944784*(X+1)*(X+2)*(2*X+1)*(2*X+5)]", "text": "Operator equivalent to AESZ 73", "degz": 3, "h3": "9", "sol": "1 -18 2754 37620 43789410 6088103532 1715335241004 385807115999448 99807709568908770 25528366039107763260", "n_discr_factors": "2", "c3": "12", "operator": "4 3 0 0 0 0 1 18 54 -54 -216 -108 -49572 -215784 -341172 -233280 -58320 -9447840 -36846576 -46294416 -22674816 -3779136", "new_number": "3.7", "id": 102, "operator_tex": "\\theta^4-2 3^{2} x\\left(6\\theta^4+12\\theta^3+3\\theta^2-3\\theta-1\\right)-2^{2} 3^{6} x^{2}(\\theta+1)^2(20\\theta^2+40\\theta+17)-2^{4} 3^{10} x^{3}(\\theta+1)(\\theta+2)(2\\theta+1)(2\\theta+5)", "superseek": "90 151648", "discriminant": "3 1 -108 -58320 -3779136", "aesz": "~73", "n_sing_complex": "0", "inst_int": "", "c2h": "30", "hash": "9f672e1168859bdcc8ddc7a201c57968", "dim_h": "4", "inst": " 90 2196 151648 14813388 1820806056 256288477264 39613204229256 6558770323351260 1144477326915177220 208148451286833099936", "cleanlist": "True", "n_sing_real": "3", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "3", "laurent": null, "discriminant_tex": "-(324z-1)(1+108z)^2", "discr_factors": "-3779136, z-1/324, (1/108+z)^2", "dm_basis": null, "q": "0 1 -18 -6885 -284964 -3892887 -2544634278 -635787930573 -114092490856392 -21147227686705293", "yuk": "1 90 17658 4094586 948074490 227600757090 55358315201178 13587329050634898 3358090406503919610 834323971321168287966", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/108","im":"0","approx_re":"-0.00925925925926","approx_im":"0.0","exponents":["0","0","1","1"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"1/324","im":"0","approx_re":"0.00308641975309","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","1","2","5/2"],"monodromy":[],"monodromy_dm":[]}]}, {"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, 18+84*X+147*X^2+126*X^3+279*X^4, 5724+24840*X+43308*X^2+35424*X^3+33156*X^4, 905904+3426300*X+5290596*X^2+4012416*X^3+2204496*X^4, 75827664+258870816*X+354993840*X^2+240744960*X^3+90559296*X^4, 3593958336+11356303680*X+14067203904*X^2+8432512128*X^3+2389673664*X^4, 97501708800+290600441856*X+331460460288*X^2+177407760384*X^3+40587920640*X^4, 1442390395392+4144729616640*X+4464716620032*X^2+2187666247680*X^3+427737729024*X^4, 14693280768*(X+1)*(172*X^3+804*X^2+1295*X+699), 1586874322944*(X+2)*(X+1)*(2*X+3)^2]", "text": "This is operator \"9.7\" from ...", "degz": 9, "h3": null, "sol": "1 -18 378 -8676 213354 -5558868 151939044 -4315623624 126334972458 -3786769942452", "n_discr_factors": "4", "c3": null, "operator": "4 9 0 0 0 0 1 18 84 147 126 279 5724 24840 43308 35424 33156 905904 3426300 5290596 4012416 2204496 75827664 258870816 354993840 240744960 90559296 3593958336 11356303680 14067203904 8432512128 2389673664 97501708800 290600441856 331460460288 177407760384 40587920640 1442390395392 4144729616640 4464716620032 2187666247680 427737729024 10270603256832 29298401851392 30841196332032 14340642029568 2527244292096 28563737812992 80930590470144 84104339116032 38084983750656 6347497291776", "new_number": "9.7", "id": 546, "operator_tex": "\\theta^4+3 x\\left(93\\theta^4+42\\theta^3+49\\theta^2+28\\theta+6\\right)+2^{2} 3^{3} x^{2}\\left(307\\theta^4+328\\theta^3+401\\theta^2+230\\theta+53\\right)+2^{2} 3^{5} x^{3}\\left(2268\\theta^4+4128\\theta^3+5443\\theta^2+3525\\theta+932\\right)+2^{4} 3^{7} x^{4}\\left(2588\\theta^4+6880\\theta^3+10145\\theta^2+7398\\theta+2167\\right)+2^{6} 3^{9} x^{5}\\left(1897\\theta^4+6694\\theta^3+11167\\theta^2+9015\\theta+2853\\right)+2^{8} 3^{11} x^{6}\\left(895\\theta^4+3912\\theta^3+7309\\theta^2+6408\\theta+2150\\right)+2^{8} 3^{13} x^{7}\\left(1048\\theta^4+5360\\theta^3+10939\\theta^2+10155\\theta+3534\\right)+2^{10} 3^{15} x^{8}(\\theta+1)(172\\theta^3+804\\theta^2+1295\\theta+699)+2^{12} 3^{18} x^{9}(\\theta+2)(\\theta+1)(2\\theta+3)^2", "superseek": "9 2564/3", "discriminant": "9 1 279 33156 2204496 90559296 2389673664 40587920640 427737729024 2527244292096 6347497291776", "aesz": null, "n_sing_complex": "2", "inst_int": "", "c2h": null, "hash": "9bb7a7f3a3d5f66018396173696c194c", "dim_h": null, "inst": " 9 -72 2564/3 -12924 228024 -13237444/3 91058778 -1971474678 132890850544/3 -1025101573128", "cleanlist": "True", "n_sing_real": "5", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "7", "laurent": null, "discriminant_tex": "(27z+1)(432z^2+36z+1)(36z+1)^2(648z^2+72z+1)^2", "discr_factors": "6347497291776, z^2+1/12*z+1/432, (z+1/36)^2, (z^2+1/9*z+1/648)^2, z+1/27", "dm_basis": null, "q": "0 1 12 144 1156 15108 9504 2842754 -45948936 1357161642", "yuk": "1 9 -567 23085 -827703 28503009 -953073459 31233160863 -1009395862839 32292476705277", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/18-1/36*2^(1/2)","im":"0","approx_re":"-0.094839","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/24","im":"-1/72*3^(1/2)","approx_re":"-0.0416666666667","approx_im":"-0.024056","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/24","im":"1/72*3^(1/2)","approx_re":"-0.0416666666667","approx_im":"0.024056","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":"-1/36","im":"0","approx_re":"-0.0277777777778","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/18+1/36*2^(1/2)","im":"0","approx_re":"-0.016272","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":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1","3/2","3/2","2"],"monodromy":[],"monodromy_dm":[]}]}]}