{"count": 2, "status":"OK", "data":[{"pols": "[X^4, -704*(X+1/2)^4-652*(X+1/2)^2-21, 187904*(X+1)^4+228672*(X+1)^2+19824, -128000*(X+3/2)^2*(176*(X+3/2)^2+141), 256000000*(X+2)^2*(2*X+3)*(2*X+5)]", "text": "YY-operator equivalent to AESZ 121 =$b \\ast e \\tilde A \\ast \\eta$", "degz": 4, "h3": null, "sol": "1 228 44716 8258768 1469227500 253733647728 42642370753264 6970600688094528 1105114457148006124 168933127196275073200", "n_discr_factors": "1", "c3": null, "operator": "4 4 0 0 0 0 1 -228 -1004 -1708 -1408 -704 436400 1208960 1356096 751616 187904 -154656000 -358272000 -322176000 -135168000 -22528000 15360000000 31744000000 24320000000 8192000000 1024000000", "new_number": "4.6", "id": 170, "operator_tex": "\\theta^4-2^{2} x\\left(176\\theta^4+352\\theta^3+427\\theta^2+251\\theta+57\\right)+2^{4} x^{2}\\left(11744\\theta^4+46976\\theta^3+84756\\theta^2+75560\\theta+27275\\right)-2^{8} 5^{3} x^{3}(176\\theta^2+528\\theta+537)(2\\theta+3)^2+2^{14} 5^{6} x^{4}(\\theta+2)^2(2\\theta+3)(2\\theta+5)", "superseek": "-28 1036", "discriminant": "4 1 -704 187904 -22528000 1024000000", "aesz": null, "n_sing_complex": "1", "inst_int": "", "c2h": null, "hash": "e42780ff25b428328423d5eea814a37a", "dim_h": null, "inst": " -28 -21 1036 53976 1260496 31899337 507180268 3964357416 -299161562136 -16443487872164", "cleanlist": "True", "n_sing_real": "1", "sol_explicit": "", "n_sing_rational": "1", "n_sing": "2", "laurent": null, "discriminant_tex": "(1-352z+32000z^2)^2", "discr_factors": "1024000000, (1/32000-11/1000*z+z^2)^2", "dm_basis": null, "q": "0 1 -92 6310 -354928 18451201 -887962344 41276142642 -1847354908608 80878912980756", "yuk": "1 -28 -196 27944 3454268 157561972 6890284568 173962831896 2029754451260 -218088778769200", "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":"11/2000","im":"-1/1000","approx_re":"0.0055","approx_im":"-0.001","exponents":["0","-1/2","1","3/2"],"monodromy":[],"monodromy_dm":[]},{"re":"11/2000","im":"1/1000","approx_re":"0.0055","approx_im":"0.001","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":[]}]}, {"pols": "[X^4, -566*X^4-34*X^3-62*X^2-45*X-9, 118110*X^4+51906*X^3+67479*X^2+25107*X+3420, -10936935*X^4-12894552*X^3-11467098*X^2-4844205*X-838998, 404089803*X^4+873015408*X^3+818451945*X^2+381944241*X+73107036, -1977491961*(X+1)^4]", "text": "There is a second MUM-point at infinity, \ncorresponding to Operator AESZ 124/5.18", "degz": 5, "h3": null, "sol": "1 9 189 3375 -159651 -33202791 -3756442689 -360595119519 -31731126659235 -2611165899213459", "n_discr_factors": "2", "c3": null, "operator": "4 5 0 0 0 0 1 -9 -45 -62 -34 -566 3420 25107 67479 51906 118110 -838998 -4844205 -11467098 -12894552 -10936935 73107036 381944241 818451945 873015408 404089803 -1977491961 -7909967844 -11864951766 -7909967844 -1977491961", "new_number": "5.72", "id": 285, "operator_tex": "\\theta^4-x\\left(566\\theta^4+34\\theta^3+62\\theta^2+45\\theta+9\\right)+3 x^{2}\\left(39370\\theta^4+17302\\theta^3+22493\\theta^2+8369\\theta+1140\\right)-3^{2} x^{3}\\left(1215215\\theta^4+1432728\\theta^3+1274122\\theta^2+538245\\theta+93222\\right)+3^{7} 61 x^{4}\\left(3029\\theta^4+6544\\theta^3+6135\\theta^2+2863\\theta+548\\right)-3^{12} 61^{2} x^{5}\\left((\\theta+1)^4\\right)", "superseek": "-28 -37768", "discriminant": "5 1 -566 118110 -10936935 404089803 -1977491961", "aesz": "291", "n_sing_complex": "2", "inst_int": "", "c2h": null, "hash": "cbc8242a8fecc72056e6e36b4864b868", "dim_h": null, "inst": " -28 -809 -37768 -2185213 -143204777 -30489768010/3 -762199509690 -59514316974923 -4792148905304457 -395337642872739927", "cleanlist": "True", "n_sing_real": "3", "sol_explicit": "", "n_sing_rational": "2", "n_sing": "5", "laurent": null, "discriminant_tex": "-(59049z^3-11421z^2+200z-1)(-1+183z)^2", "discr_factors": "-1977491961, z^3-47/243*z^2+200/59049*z-1/59049, (-1/183+z)^2", "dm_basis": null, "q": "0 1 -9 321 22870 1995363 175451346 15725145505 1430794075599 131756626614654", "yuk": "1 -28 -6500 -1019764 -139860132 -17900597153 -2195264322956 -261434431823698 -30471330431020708 -3493476551967968917", "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":"1/183","im":"0","approx_re":"0.00546448087432","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/2916*(518428+4836*93^(1/2))^(1/3)-1609/729/(518428+4836*93^(1/2))^(1/3)+47/729","im":"-1/2*3^(1/2)*(1/1458*(518428+4836*93^(1/2))^(1/3)-3218/729/(518428+4836*93^(1/2))^(1/3))","approx_re":"0.009423","approx_im":"-0.002866","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/2916*(518428+4836*93^(1/2))^(1/3)-1609/729/(518428+4836*93^(1/2))^(1/3)+47/729","im":"1/2*3^(1/2)*(1/1458*(518428+4836*93^(1/2))^(1/3)-3218/729/(518428+4836*93^(1/2))^(1/3))","approx_re":"0.009423","approx_im":"0.002866","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/1458*(518428+4836*93^(1/2))^(1/3)+3218/729/(518428+4836*93^(1/2))^(1/3)+47/729","im":"0","approx_re":"0.174569","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","1","1","1"],"monodromy":[],"monodromy_dm":[]}]}]}