{"count": 2, "status":"OK", "data":[{"pols": "[25*X^4, -960*X^4-3840*X^3-5020*X^2-3100*X-700, -139264*X^4-458752*X^3-698624*X^2-508160*X-148240, 3670016*X^4+31457280*X^3+74235904*X^2+68075520*X+22108160, 150994944*X^4+805306368*X^3+1364197376*X^2+961544192*X+243728384, 1073741824*(X+1)^4]", "text": "There is a second MUM-point at infinity, \ncorresponding to Operator AESZ 271/ 5.63", "degz": 5, "h3": null, "sol": "1 28 1324 63856 3489004 188608528 10840129264 615372248512 36295765586668 2117009706332752", "n_discr_factors": "3", "c3": null, "operator": "4 5 0 0 0 0 25 -700 -3100 -5020 -3840 -960 -148240 -508160 -698624 -458752 -139264 22108160 68075520 74235904 31457280 3670016 243728384 961544192 1364197376 805306368 150994944 1073741824 4294967296 6442450944 4294967296 1073741824", "new_number": "5.62", "id": 274, "operator_tex": "5^{2} \\theta^4-2^{2} 5 x\\left(48\\theta^4+192\\theta^3+251\\theta^2+155\\theta+35\\right)-2^{4} x^{2}\\left(8704\\theta^4+28672\\theta^3+43664\\theta^2+31760\\theta+9265\\right)+2^{11} x^{3}\\left(1792\\theta^4+15360\\theta^3+36248\\theta^2+33240\\theta+10795\\right)+2^{16} x^{4}\\left(2304\\theta^4+12288\\theta^3+20816\\theta^2+14672\\theta+3719\\right)+2^{30} x^{5}\\left((\\theta+1)^4\\right)", "superseek": "-76/5 -2100", "discriminant": "5 25 -960 -139264 3670016 150994944 1073741824", "aesz": "270", "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "256e3b3a92e3fd332be8b01f71853ea4", "dim_h": null, "inst": " -76/5 367/5 -2100 43436 -6582256/5 221180469/5 -1648544084 330479016412/5 -13945393057272/5 614000624977324/5", "cleanlist": "True", "n_sing_real": "4", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "4", "laurent": null, "discriminant_tex": "(1+64z)(64z+5)^2(64z-1)^2", "discr_factors": "1073741824, 1/64+z, (z+5/64)^2, (z-1/64)^2", "dm_basis": null, "q": "0 1 -12 -474 15440 -185343 2784504 -152938830 8375024448 -401371946988", "yuk": "1 -76/5 572 -283576/5 2780476 -822782076/5 47774700664/5 -2827253104136/5 169205270305324/5 -10166191539034864/5", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-5/64","im":"0","approx_re":"-0.078125","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/64","im":"0","approx_re":"-0.015625","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"1/64","im":"0","approx_re":"0.015625","approx_im":"0.0","exponents":["0","-1/4","1","5/4"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1","1","1","1"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, 36864*X^4-49152*X^3-35584*X^2-11008*X-1936, 234881024*X^4-1073741824*X^3+120586240*X^2+45088768*X+30801920, -2336462209024*X^4-1649267441664*X^3-2649994821632*X^2-1172526071808*X-322390982656, -4222124650659840*X^4+3254554418216960*X^2+3254554418216960*X+1143492092887040, 28823037615171174400*(X+1)^4]", "text": "There is a second MUM-point at infinity, \ncorresponding to Operator AESZ 270 /5.62", "degz": 5, "h3": null, "sol": "1 1936 5433616 17299986688 58672579116304 206669099292334336 746575590027267318016 2745949421061368330162176 10236991103358250791812996368 38566284406834450611369673402624", "n_discr_factors": "3", "c3": null, "operator": "4 5 0 0 0 0 1 -1936 -11008 -35584 -49152 36864 30801920 45088768 120586240 -1073741824 234881024 -322390982656 -1172526071808 -2649994821632 -1649267441664 -2336462209024 1143492092887040 3254554418216960 3254554418216960 0 -4222124650659840 28823037615171174400 115292150460684697600 172938225691027046400 115292150460684697600 28823037615171174400", "new_number": "5.63", "id": 275, "operator_tex": "\\theta^4+2^{4} x\\left(2304\\theta^4-3072\\theta^3-2224\\theta^2-688\\theta-121\\right)+2^{17} x^{2}\\left(1792\\theta^4-8192\\theta^3+920\\theta^2+344\\theta+235\\right)-2^{28} x^{3}\\left(8704\\theta^4+6144\\theta^3+9872\\theta^2+4368\\theta+1201\\right)-2^{44} 5 x^{4}\\left(48\\theta^4-37\\theta^2-37\\theta-13\\right)+2^{60} 5^{2} x^{5}\\left((\\theta+1)^4\\right)", "superseek": "10912 71557619232", "discriminant": "5 1 36864 234881024 -2336462209024 -4222124650659840 28823037615171174400", "aesz": "271", "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "c20fda7ad02ecc06f9b3f74bf4327d05", "dim_h": null, "inst": " 10912 -20731504 71557619232 -326717237089712 1743820693922321120 -10286426285031347485104 65046725007339572898273696 -432911472352501135094316776368 2996380229369184777213698461434624 -21392301510610273389194136435773058000", "cleanlist": "True", "n_sing_real": "4", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "4", "laurent": null, "discriminant_tex": "(1+4096z)(20480z+1)^2(4096z-1)^2", "discr_factors": "28823037615171174400, (z+1/20480)^2, (z-1/4096)^2, 1/4096+z", "dm_basis": null, "q": "0 1 -3264 13635168 -72297617408 442113725658672 -2950154620733945856 20858990544340177535488 -153651119276899169695825920 1166825950518608865433631799960", "yuk": "1 10912 -165841120 1932055730176 -20909903339582688 217977586740290150912 -2221868077564839166904320 22311026677517473504107888640 -221650673844480602078193529083104 2184361187210135702588788110441571072", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/4096","im":"0","approx_re":"-0.000244140625","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/20480","im":"0","approx_re":"-4.8828125e-05","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":"1/4096","im":"0","approx_re":"0.000244140625","approx_im":"0.0","exponents":["0","-1/4","1","5/4"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1","1","1","1"],"monodromy":[],"monodromy_dm":[]}]}]}