{"count": 2, "status":"OK", "data":[{"pols": "[X^4, -17280*(X+1/2)^4-15288*(X+1/2)^2-462, 98537472*(X+1)^4+80745984*(X+1)^2+7061904, -859963392*(X+3/2)^2*(240*(X+3/2)^2+169), 3962711310336*(2*X+3)*(2*X+5)*(3*X+5)*(3*X+7)]", "text": "YY-Operator equivalent to $AESZ 66 =$D \\ast \\alpha \\tilde c \\ast j$", "degz": 4, "h3": null, "sol": "1 5364 29367900 170217457200 1029027458497500 6396798260167351344 40516714072724617533456 260029813122930776438433600 1685090543488031316816654990300 11001488991531550865698731563674800", "n_discr_factors": "2", "c3": null, "operator": "4 4 0 0 0 0 1 -5364 -23928 -41208 -34560 -17280 186345360 555641856 671970816 394149888 98537472 -1371856601088 -3222282829824 -2931615203328 -1238347284480 -206391214080 2080423437926400 4358982441369600 3372267325095936 1141260857376768 142657607172096", "new_number": "4.19", "id": 114, "operator_tex": "\\theta^4-2^{2} 3 x\\left(1440\\theta^4+2880\\theta^3+3434\\theta^2+1994\\theta+447\\right)+2^{4} 3^{4} x^{2}\\left(76032\\theta^4+304128\\theta^3+518496\\theta^2+428736\\theta+143785\\right)-2^{15} 3^{8} x^{3}(240\\theta^2+720\\theta+709)(2\\theta+3)^2+2^{26} 3^{10} x^{4}(2\\theta+3)(2\\theta+5)(3\\theta+5)(3\\theta+7)", "superseek": "-864 -147560800", "discriminant": "4 1 -17280 98537472 -206391214080 142657607172096", "aesz": "~66", "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "b9b85f803521c6af3b5f7572d309f89a", "dim_h": null, "inst": " -864 -261684 -147560800 -120568926924 -88009904955744 -72338406331651444 -66286324404529432416 -63605775313297935288396 -62789590294133700641856352 -63763261933532396671270263924", "cleanlist": "True", "n_sing_real": "3", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "3", "laurent": null, "discriminant_tex": "(6912z-1)^2(1728z-1)^2", "discr_factors": "142657607172096, (z-1/6912)^2, (z-1/1728)^2", "dm_basis": null, "q": "0 1 -2472 3404844 -4591592384 5333736689358 -5645526028060896 5755473275519706296 -5570409363132277922304 5163552434107359999841509", "yuk": "1 -864 -2094336 -3984142464 -7716413417472 -11001238119468864 -15625095771622947840 -22736209270753595319552 -32566156960416259281076224 -45773611324423467771897423072", "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":"1/6912","im":"0","approx_re":"0.000144675925926","approx_im":"0.0","exponents":["0","-1/2","1","3/2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/1728","im":"0","approx_re":"0.000578703703704","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","5/3","7/3","5/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -1080*(X+1/2)^4-978*(X+1/2)^2-30, 384912*(X+1)^4+331452*(X+1)^2+28512, -1679616*(X+3/2)^2*(30*(X+3/2)^2+23), 15116544*(2*X+3)*(2*X+5)*(6*X+11)*(6*X+13)]", "text": "YY-operator equivalent to (:AESZ 50), $\\tilde B \\ast \\alpha$", "degz": 4, "h3": null, "sol": "1 342 117990 42901884 16240501782 6316625715444 2502293810634972 1004195277488806200 406869404168584931958 166067564374448102903364", "n_discr_factors": "2", "c3": null, "operator": "4 4 0 0 0 0 1 -342 -1518 -2598 -2160 -1080 744876 2202552 2640924 1539648 384912 -342011808 -796137984 -718875648 -302330880 -50388480 32424986880 67238387712 51638114304 17414258688 2176782336", "new_number": "4.7", "id": 179, "operator_tex": "\\theta^4-2 3 x\\left(180\\theta^4+360\\theta^3+433\\theta^2+253\\theta+57\\right)+2^{2} 3^{4} 11 x^{2}\\left(108\\theta^4+432\\theta^3+741\\theta^2+618\\theta+209\\right)-2^{5} 3^{8} x^{3}(60\\theta^2+180\\theta+181)(2\\theta+3)^2+2^{8} 3^{10} x^{4}(2\\theta+3)(2\\theta+5)(6\\theta+11)(6\\theta+13)", "superseek": "-54 -40552", "discriminant": "4 1 -1080 384912 -50388480 2176782336", "aesz": null, "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "ee8508b4e5567367ca11f74e074e8099", "dim_h": null, "inst": " -54 -864 -40552 -2192400 -123334380 -7606782112 -510067786500 -35999557094448 -2629631770323490 -197665963831332576", "cleanlist": "True", "n_sing_real": "3", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "3", "laurent": null, "discriminant_tex": "(432z-1)^2(108z-1)^2", "discr_factors": "2176782336, (z-1/108)^2, (z-1/432)^2", "dm_basis": null, "q": "0 1 -150 12159 -1012316 69674055 -4599819306 286902654701 -17623474911768 1008452921121792", "yuk": "1 -54 -6966 -1094958 -140320566 -15416797554 -1643066038062 -174953250769554 -18431773372677942 -1917001560566919168", "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":"1/432","im":"0","approx_re":"0.00231481481481","approx_im":"0.0","exponents":["0","-1/2","1","3/2"],"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":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["3/2","11/6","13/6","5/2"],"monodromy":[],"monodromy_dm":[]}]}]}