{"count": 2, "status":"OK", "data":[{"pols": "[X^4, -1792*(X+1/2)^4-1620*(X+1/2)^2-51, 1466368*(X+1)^4+2265344*(X+1)^2+196992, -1327104*(X+3/2)^2*(448*(X+3/2)^2+335), 1719926784*(2*X+3)*(2*X+5)*(4*X+7)*(4*X+9)]", "text": "YY-Operator equivalent to AESZ 152 $=C \\ast \\delta ~tilde \\alpha \\ast i$", "degz": 4, "h3": null, "sol": "1 568 207720 25669504 -32774007128 -33531981809856 -18504054035460864 -5834315674341826560 490963612772074612392 2144977565489285442014656", "n_discr_factors": "1", "c3": null, "operator": "4 4 0 0 0 0 1 -568 -2516 -4308 -3584 -1792 3928704 10396160 11063552 5865472 1466368 -4010176512 -9360064512 -8470904832 -3567255552 -594542592 1625330810880 3384815910912 2607409004544 880602513408 110075314176", "new_number": "4.15", "id": 110, "operator_tex": "\\theta^4-2^{2} x\\left(448\\theta^4+896\\theta^3+1077\\theta^2+629\\theta+142\\right)+2^{7} x^{2}\\left(11456\\theta^4+45824\\theta^3+86434\\theta^2+81220\\theta+30693\\right)-2^{12} 3^{4} x^{3}(448\\theta^2+1344\\theta+1343)(2\\theta+3)^2+2^{18} 3^{8} x^{4}(2\\theta+3)(2\\theta+5)(4\\theta+7)(4\\theta+9)", "superseek": "-76 415420", "discriminant": "4 1 -1792 1466368 -594542592 110075314176", "aesz": null, "n_sing_complex": "1", "inst_int": "", "c2h": null, "hash": "d8c866a60b2b4edb0c88e03315fa2a7b", "dim_h": null, "inst": " -76 2958 415420 17891650 -1211214176 -318737280294 -23481434881860 1222575736557290 489910761382234864 45969766146854950768", "cleanlist": "True", "n_sing_real": "1", "sol_explicit": "", "n_sing_rational": "1", "n_sing": "2", "laurent": null, "discriminant_tex": "(331776z^2-896z+1)^2", "discr_factors": "110075314176, (z^2-7/2592*z+1/331776)^2", "dm_basis": null, "q": "0 1 -244 67038 -11065488 2080590637 -311558771544 48546840405778 -6877593269132096 978116260390106886", "yuk": "1 -76 23588 11216264 1145089188 -151401772076 -68847241303576 -8054132164478056 625958778262421668 357144945047660432120", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"s_1","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["-1/2","0","1","3/2"],"monodromy":[],"monodromy_dm":[]},{"re":"s_2","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["-1/2","0","1","3/2"],"monodromy":[],"monodromy_dm":[]},{"re":"7/5184","im":"-1/1296*2^(1/2)","approx_re":"0.00135030864198","approx_im":"-0.001091","exponents":["0","-1/2","1","3/2"],"monodromy":[],"monodromy_dm":[]},{"re":"7/5184","im":"1/1296*2^(1/2)","approx_re":"0.00135030864198","approx_im":"0.001091","exponents":["0","-1/2","1","3/2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["3/2","7/4","9/4","5/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -1088*(X+1/2)^4-964*(X+1/2)^2-27, 296448*(X+1)^4+8256*(X+1)^2+192, -1024*(X+3/2)^2*(272*(X+3/2)^2+207), 16384*(X+2)^2*(2*X+3)*(2*X+5)]", "text": "YY-Operator equivalent to AESZ 44=$ A \\ast \\gamma$", "degz": 4, "h3": null, "sol": "1 336 142728 65762368 31568339880 15533012968704 7770174392268288 3933113259549247488 2008605043302914864808 1032883937290818939314560", "n_discr_factors": "1", "c3": null, "operator": "4 4 0 0 0 0 1 -336 -1508 -2596 -2176 -1088 304896 1202304 1786944 1185792 296448 -1886976 -4396032 -3972096 -1671168 -278528 983040 2031616 1556480 524288 65536", "new_number": "4.2", "id": 126, "operator_tex": "\\theta^4-2^{2} x\\left(272\\theta^4+544\\theta^3+649\\theta^2+377\\theta+84\\right)+2^{6} 3 x^{2}\\left(1544\\theta^4+6176\\theta^3+9307\\theta^2+6262\\theta+1588\\right)-2^{8} x^{3}(272\\theta^2+816\\theta+819)(2\\theta+3)^2+2^{14} x^{4}(\\theta+2)^2(2\\theta+3)(2\\theta+5)", "superseek": "-76 -92996", "discriminant": "4 1 -1088 296448 -278528 65536", "aesz": "~44", "n_sing_complex": "1", "inst_int": "", "c2h": null, "hash": "79f5f70bb79e740c1cd7e835ff99a64c", "dim_h": null, "inst": " -76 -2002 -92996 -5555506 -384650592 -87851559442/3 -2382567781700 -203597635374810 -18066930122752784 -1651905878787792656", "cleanlist": "True", "n_sing_real": "1", "sol_explicit": "", "n_sing_rational": "1", "n_sing": "2", "laurent": null, "discriminant_tex": "(1-544z+256z^2)^2", "discr_factors": "65536, (1/256-17/8*z+z^2)^2", "dm_basis": null, "q": "0 1 -164 7902 -175312 1770797 -88925688 -5015603694 -588849979456 -58902911500026", "yuk": "1 -76 -16092 -2510968 -355568476 -48081324076 -6325314806808 -817220749123176 -104241989667471196 -13170792059489290504", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"s_1","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["-1/2","0","1","3/2"],"monodromy":[],"monodromy_dm":[]},{"re":"s_2","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["-1/2","0","1","3/2"],"monodromy":[],"monodromy_dm":[]},{"re":"17/16-3/4*2^(1/2)","im":"0","approx_re":"0.00184","approx_im":"0.0","exponents":["0","-1/2","1","3/2"],"monodromy":[],"monodromy_dm":[]},{"re":"17/16+3/4*2^(1/2)","im":"0","approx_re":"2.12316","approx_im":"0.0","exponents":["0","-1/2","1","3/2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["3/2","2","2","5/2"],"monodromy":[],"monodromy_dm":[]}]}]}