{"count": 9, "status":"OK", "data":[{"pols": "[X^4, -6*(2*X+1)^2*(9*X^2+9*X+5), 2916*(2*X+1)*(X+1)^2*(2*X+3)]", "text": "Hadamard product $I \\ast \\iota$", "degz": 2, "h3": null, "sol": "1 30 1782 129900 10463670 894351780 79506157500 7268449719960 678536243277750 64381774028157300", "n_discr_factors": "1", "c3": null, "operator": "4 2 0 0 0 0 1 -30 -174 -390 -432 -216 8748 40824 67068 46656 11664", "new_number": "2.58", "id": 53, "operator_tex": "\\theta^4-2 3 x(2\\theta+1)^2(9\\theta^2+9\\theta+5)+2^{2} 3^{6} x^{2}(2\\theta+1)(\\theta+1)^2(2\\theta+3)", "superseek": "-6 -104", "discriminant": "2 1 -216 11664", "aesz": "46", "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "2226ec115674e71c483ba2c0350e8adf", "dim_h": null, "inst": " -6 -6 -104 36 -4812 37984 -444900 7911900 -81187538 1584490908", "cleanlist": "True", "n_sing_real": "2", "sol_explicit": "", "n_sing_rational": "2", "n_sing": "2", "laurent": null, "discriminant_tex": "(108z-1)^2", "discr_factors": "11664, (z-1/108)^2", "dm_basis": ["1/2-36*lambda", "-3", "5/6", "1", "0", "12", "-1", "0", "6", "-36", "0", "0", "36", "0", "0", "0"], "q": "0 1 -54 2079 -67356 1981287 -54730890 1447035885 -37047063960 925398152064", "yuk": "1 -6 -54 -2814 2250 -601506 8201682 -152600706 4050895050 -59185718016", "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":["1","-1","1/2","-1/6","0","1","-1","1/2","0","0","1","-1","0","0","0","1"],"monodromy_dm":["1","0","0","0","1","1","0","0","0","-36","1","0","0","0","1","1"]},{"re":"1/108","im":"0","approx_re":"0.00925925925926","approx_im":"0.0","exponents":["0","1/6","5/6","1"],"monodromy":["1/2+36*lambda","1/4+6*lambda","0",".19987912e-1","0","1","0","0","-6","3","1","1/4-6*lambda","-36","-6","0","1/2-36*lambda"],"monodromy_dm":["0","1","-666667/1000000","-1","-333333/1000000","-333333/1000000","111111/1000000","0","-4","-16","2333333/1000000","0","3333333/1000000","13333333/1000000","-1111111/1000000","1"]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1/2","1","1","3/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -216*X^4-396*X^3-366*X^2-168*X-30, 36*(3*X+2)^2*(6*X+7)^2]", "text": "This is operator \"2.67\" from ...", "degz": 2, "h3": null, "sol": "1 30 1764 127776 10248750 873280548 77450342760 7067309298912 658756010890548 62425680018101400", "n_discr_factors": "1", "c3": null, "operator": "4 2 0 0 0 0 1 -30 -168 -366 -396 -216 7056 33264 57348 42768 11664", "new_number": "2.67", "id": 63, "operator_tex": "\\theta^4-2 3 x\\left(36\\theta^4+66\\theta^3+61\\theta^2+28\\theta+5\\right)+2^{2} 3^{2} x^{2}(3\\theta+2)^2(6\\theta+7)^2", "superseek": "-6 -170", "discriminant": "2 1 -216 11664", "aesz": "245", "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "0ef0bca0dbecbedad92696fd7c0f9e42", "dim_h": null, "inst": " -6 -33 -170 -1029 -3246 39781 1237170 21512571 301031416 3536912187", "cleanlist": "True", "n_sing_real": "2", "sol_explicit": "", "n_sing_rational": "2", "n_sing": "2", "laurent": null, "discriminant_tex": "(108z-1)^2", "discr_factors": "11664, (z-1/108)^2", "dm_basis": ["-6521007/125000000-90357723/1000000000*I", "-3+4511615154067544842086723740124334848694351954431101272196462779644508392806538050844596873167533211/2604782223680891931509451724762066519358428478691519147090699072692122550847025398588836869330367971*I", "1/2-3081490456277555159153769728602633601692409347626414678367139999430219011336903561652776870289659281/3558198688874218386798087732443200684026390216561310209643580926168315471826781724716716871248950591*I", "1", "-3/2+1/2*I*3^(1/2)", "27/2-5941739851857534525019677751646036095696294561235787866025785559858797774276172540036416876045407141/762325578427705482137746574067229488156369299800529597635468373844463859062368874404292289563613477*I", "-1/2+3081490456277555159153769728602633601692409347626414678367139999430219011336903561652776870289659281/3558198688874218386798087732443200684026390216561310209643580926168315471826781724716716871248950591*I", "0", "0", "-27+11883479703715069050039355503292072191392589122471575732051571119717595548552345080072833752090814282/762325578427705482137746574067229488156369299800529597635468373844463859062368874404292289563613477*I", "0", "0", "27-11883479703715069050039355503292072191392589122471575732051571119717595548552345080072833752090814282/762325578427705482137746574067229488156369299800529597635468373844463859062368874404292289563613477*I", "0", "0", "0"], "q": "0 1 -48 1440 -32848 637872 -11009952 174295160 -2581422144 36123632856", "yuk": "1 -6 -270 -4596 -66126 -405756 8587836 424349304 11014370226 219451897668", "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":["1","-1","1/2","-1/6","0","1","-1","1/2","0","0","1","-1","0","0","0","1"],"monodromy_dm":["1","0","0","0","1","1","0","0","0","-27-15588457/1000000*I","1","0","0","0","1/2-34641/40000*I","1"]},{"re":"1/108","im":"0","approx_re":"0.00925925925926","approx_im":"0.0","exponents":["0","1/6","1","7/6"],"monodromy":["1.052168056+.90357723e-1*I","1/4-1/12*I*3^(1/2)","-3*3^(1/6)/Pi^(9/2)/Zeta(5)^6-6*lambda",".10688274e-1-1/5*I*5^(4/7)*ln(2)^12","3/2-1/2*I*3^(1/2)","3/4-1/4*I*3^(1/2)","-1/8+1/24*I*3^(1/2)","3*3^(1/6)/Pi^(9/2)/Zeta(5)^6+6*lambda","0","9/2-3/2*I*3^(1/2)","3/4-1/4*I*3^(1/2)","1/4-1/12*I*3^(1/2)","-27+9*I*3^(1/2)","0","3/2-1/2*I*3^(1/2)",".447831944-.956383127*I"],"monodromy_dm":["1/2-34641/40000*I","3/2-34641/40000*I","-1/2+34641/40000*I","-1","0","-3/2+34641/40000*I","83333/1000000-72169/500000*I","0","0","-42","3-1732051/1000000*I","0","0","18-6581793/200000*I","1/2+2309401/1000000*I","1"]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["2/3","2/3","7/6","7/6"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -850*X^4-800*X^3-625*X^2-225*X-30, 271875*X^4+457500*X^3+414375*X^2+172500*X+25500, -39965625*X^4-89606250*X^3-85865625*X^2-35775000*X-5287500, 8437500*(3*X+1)*(3*X+2)*(34*X^2+61*X+36), -632812500*(3*X+1)*(3*X+2)*(3*X+4)*(3*X+5)]", "text": "This is operator \"5.103\" from ...", "degz": 5, "h3": null, "sol": "1 30 3150 462000 78828750 14647012380 2873579108400 585270426312000 122482539114828750 26160228836854612500", "n_discr_factors": "2", "c3": null, "operator": "4 5 0 0 0 0 1 -30 -225 -625 -800 -850 25500 172500 414375 457500 271875 -5287500 -35775000 -85865625 -89606250 -39965625 607500000 3763125000 7939687500 7214062500 2581875000 -25312500000 -148078125000 -279070312500 -205031250000 -51257812500", "new_number": "5.103", "id": 185, "operator_tex": "\\theta^4-5 x\\left(170\\theta^4+160\\theta^3+125\\theta^2+45\\theta+6\\right)+3 5^{3} x^{2}\\left(725\\theta^4+1220\\theta^3+1105\\theta^2+460\\theta+68\\right)-3^{2} 5^{5} x^{3}\\left(1421\\theta^4+3186\\theta^3+3053\\theta^2+1272\\theta+188\\right)+2^{2} 3^{3} 5^{7} x^{4}(3\\theta+1)(3\\theta+2)(34\\theta^2+61\\theta+36)-2^{2} 3^{4} 5^{9} x^{5}(3\\theta+1)(3\\theta+2)(3\\theta+4)(3\\theta+5)", "superseek": "25 17175", "discriminant": "5 1 -850 271875 -39965625 2581875000 -51257812500", "aesz": "354", "n_sing_complex": "2", "inst_int": "", "c2h": null, "hash": "0d4263e8c85dceb5c51f8614f7c1bc79", "dim_h": null, "inst": " 25 2175/4 17175 351250 23000351/5 -946341375/4 -42917772675 -4583010161250 -428541128373750 -754410019566902943/20", "cleanlist": "True", "n_sing_real": "3", "sol_explicit": "", "n_sing_rational": "2", "n_sing": "5", "laurent": null, "discriminant_tex": "-(2278125z^3-84375z^2+550z-1)(-1+150z)^2", "discr_factors": "-51257812500, z^3-1/27*z^2+22/91125*z-1/2278125, (-1/150+z)^2", "dm_basis": null, "q": "0 1 -105 6525 -326375 16119375 -735922971 33796037660 -1307023044825 64970570937375", "yuk": "1 25 4375 463750 22484375 575008800 -51101966150 -14720796027500 -2346501180075625 -312406482584000000", "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":"-1/8100*(40580+420*21^(1/2))^(1/3)-59/405/(40580+420*21^(1/2))^(1/3)+1/81","im":"-1/10*3^(1/2)*(1/810*(40580+420*21^(1/2))^(1/3)-118/81/(40580+420*21^(1/2))^(1/3))","approx_re":"0.003863","approx_im":"-0.000232","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/8100*(40580+420*21^(1/2))^(1/3)-59/405/(40580+420*21^(1/2))^(1/3)+1/81","im":"1/10*3^(1/2)*(1/810*(40580+420*21^(1/2))^(1/3)-118/81/(40580+420*21^(1/2))^(1/3))","approx_re":"0.003863","approx_im":"0.000232","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/150","im":"0","approx_re":"0.00666666666667","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"1/4050*(40580+420*21^(1/2))^(1/3)+118/405/(40580+420*21^(1/2))^(1/3)+1/81","im":"0","approx_re":"0.029311","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":["1/3","2/3","4/3","5/3"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[289*X^4, -8670-67337*X-236521*X^2-338368*X^3+180574*X^4, 12195324+57229956*X+95227623*X^2-97392996*X^3+14372019*X^4, -348606828+2405332584*X+12773408967*X^2+19715057046*X^3-1329790041*X^4, -435928166496-1588855377528*X-1485056132244*X^2+526315468068*X^3+1059950177784*X^4, -171432237780*(5*X+3)*(5*X+4)*(5*X+6)*(5*X+7)]", "text": "This is operator \"5.106\" from ...", "degz": 5, "h3": "68", "sol": "1 30 414 -73680 -4205250 662070780 102624757200 -1397015959680 -1568094618197250 -88599206760593100", "n_discr_factors": "2", "c3": "880", "operator": "4 5 0 0 0 0 289 -8670 -67337 -236521 -338368 180574 12195324 57229956 95227623 -97392996 14372019 -348606828 2405332584 12773408967 19715057046 -1329790041 -435928166496 -1588855377528 -1485056132244 526315468068 1059950177784 -86401847841120 -385722535005000 -621441861952500 -428580594450000 -107145148612500", "new_number": "5.106", "id": 188, "operator_tex": "17^{2} \\theta^4+17 x\\left(10622\\theta^4-19904\\theta^3-13913\\theta^2-3961\\theta-510\\right)+3^{2} x^{2}\\left(1596891\\theta^4-10821444\\theta^3+10580847\\theta^2+6358884\\theta+1355036\\right)-3^{5} x^{3}\\left(5472387\\theta^4-81131922\\theta^3-52565469\\theta^2-9898488\\theta+1434596\\right)+2^{2} 3^{8} 127 x^{4}\\left(318018\\theta^4+157911\\theta^3-445563\\theta^2-476706\\theta-130792\\right)-2^{2} 3^{12} 5 127^{2} x^{5}(5\\theta+3)(5\\theta+4)(5\\theta+6)(5\\theta+7)", "superseek": "3169/17 16293835/17", "discriminant": "5 289 180574 14372019 -1329790041 1059950177784 -107145148612500", "aesz": "360", "n_sing_complex": "2", "inst_int": "", "c2h": "20", "hash": "502b9ea354d34405e6925ab32d7f1cd2", "dim_h": "13", "inst": " 3169/17 -723497/68 16293835/17 -1870341966/17 251152956621/17 -149619526234291/68 5972572133461281/17 -1002102181825583618/17 174592809018036539989/17 -125381724314894019177405/68", "cleanlist": "True", "n_sing_real": "3", "sol_explicit": "", "n_sing_rational": "2", "n_sing": "5", "laurent": null, "discriminant_tex": "-(2278125z^3-33831z^2+182z-1)(17+6858z)^2", "discr_factors": "-107145148612500, (17/6858+z)^2, z^3-1253/84375*z^2+182/2278125*z-1/2278125", "dm_basis": null, "q": "0 1 -113 18849 -3369671 623742093 -118893275751 23213306920158 -4619950416402225 933631696850596452", "yuk": "1 3169/17 -1443825/17 439936714/17 -119703329649/17 31394119580794/17 -8079453978161994/17 2048592241777222552/17 -513076317214402142065/17 127278157774149077588695/17", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-17/6858","im":"0","approx_re":"-0.00247885680957","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":"-1/1012500*(18559157716+1778062500*109^(1/2))^(1/3)+136241/253125/(18559157716+1778062500*109^(1/2))^(1/3)+1253/253125","im":"-1/2*3^(1/2)*(1/506250*(18559157716+1778062500*109^(1/2))^(1/3)+272482/253125/(18559157716+1778062500*109^(1/2))^(1/3))","approx_re":"0.001817","approx_im":"-0.005986","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/1012500*(18559157716+1778062500*109^(1/2))^(1/3)+136241/253125/(18559157716+1778062500*109^(1/2))^(1/3)+1253/253125","im":"1/2*3^(1/2)*(1/506250*(18559157716+1778062500*109^(1/2))^(1/3)+272482/253125/(18559157716+1778062500*109^(1/2))^(1/3))","approx_re":"0.001817","approx_im":"0.005986","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/506250*(18559157716+1778062500*109^(1/2))^(1/3)-272482/253125/(18559157716+1778062500*109^(1/2))^(1/3)+1253/253125","im":"0","approx_re":"0.011217","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":["3/5","4/5","6/5","7/5"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -252*X^4-1224*X^3-870*X^2-258*X-30, -107728*X^4-163072*X^3+27772*X^2+33928*X+6540, -8032320*X^4-2770560*X^3-1279440*X^2-648720*X-129600, -86400*(2*X+1)*(304*X^3+356*X^2+97*X-15), 86400000*(2*X+1)*(X+1)^2*(2*X+3)]", "text": "This is operator \"5.119\" from ...", "degz": 5, "h3": null, "sol": "1 30 4530 1074900 312527250 102033732780 35906547161100 13317330982527000 5134910691028511250 2040019718806659661500", "n_discr_factors": "4", "c3": null, "operator": "4 5 0 0 0 0 1 -30 -258 -870 -1224 -252 6540 33928 27772 -163072 -107728 -129600 -648720 -1279440 -2770560 -8032320 1296000 -5788800 -47520000 -87782400 -52531200 259200000 1209600000 1987200000 1382400000 345600000", "new_number": "5.119", "id": 202, "operator_tex": "\\theta^4-2 3 x\\left(42\\theta^4+204\\theta^3+145\\theta^2+43\\theta+5\\right)-2^{2} x^{2}\\left(26932\\theta^4+40768\\theta^3-6943\\theta^2-8482\\theta-1635\\right)-2^{4} 3^{2} 5 x^{3}\\left(11156\\theta^4+3848\\theta^3+1777\\theta^2+901\\theta+180\\right)-2^{7} 3^{3} 5^{2} x^{4}(2\\theta+1)(304\\theta^3+356\\theta^2+97\\theta-15)+2^{10} 3^{3} 5^{5} x^{5}(2\\theta+1)(\\theta+1)^2(2\\theta+3)", "superseek": "138 278872", "discriminant": "5 1 -252 -107728 -8032320 -52531200 345600000", "aesz": null, "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "61d7a82df3cf3c429b6286bc39ccb426", "dim_h": null, "inst": " 138 1139 278872 21493934 3832908140 579012503372 108834867317748 20766243538432990 4266742650765644330 905578914257005697330", "cleanlist": "True", "n_sing_real": "5", "sol_explicit": "", "n_sing_rational": "5", "n_sing": "5", "laurent": null, "discriminant_tex": "(4z-1)(500z-1)(12z+1)(1+120z)^2", "discr_factors": "345600000, z-1/4, z+1/12, (1/120+z)^2, z-1/500", "dm_basis": null, "q": "0 1 -138 8647 -801124 31426915 -8221373958 -454530197791 -208804715653736 -37126365593596418", "yuk": "1 138 9250 7529682 1375621026 479113517638 125066708267146 37330359489987702 10632316693053311906 3110455392408162246252", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/12","im":"0","approx_re":"-0.0833333333333","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/120","im":"0","approx_re":"-0.00833333333333","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":"1/500","im":"0","approx_re":"0.002","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/4","im":"0","approx_re":"0.25","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","1","3/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -881*X^4-1222*X^3-878*X^2-267*X-30, 151803*X^4+180072*X^3+51567*X^2+840*X-1020, -8814015*X^4-9353070*X^3-6422355*X^2-2208060*X-284220, 8100*(3*X+1)*(3*X+2)*(1902*X^2+1767*X+386), 1822500*(3*X+1)*(3*X+2)*(3*X+4)*(3*X+5)]", "text": "Operator London 18.\nB-Incarnation: Laurent-polynomial.", "degz": 5, "h3": null, "sol": "1 30 6210 2004240 789638850 348792624180 165939866492400 83169520555492800 43324855975160352450 23249936277240621019500", "n_discr_factors": "4", "c3": null, "operator": "4 5 0 0 0 0 1 -30 -267 -878 -1222 -881 -1020 840 51567 180072 151803 -284220 -2208060 -6422355 -9353070 -8814015 6253200 56764800 187766100 267470100 138655800 72900000 426465000 803722500 590490000 147622500", "new_number": "5.126", "id": 210, "operator_tex": "\\theta^4-x\\left(881\\theta^4+1222\\theta^3+878\\theta^2+267\\theta+30\\right)+3 x^{2}\\left(50601\\theta^4+60024\\theta^3+17189\\theta^2+280\\theta-340\\right)-3^{2} 5 x^{3}\\left(195867\\theta^4+207846\\theta^3+142719\\theta^2+49068\\theta+6316\\right)+2^{2} 3^{4} 5^{2} x^{4}(3\\theta+1)(3\\theta+2)(1902\\theta^2+1767\\theta+386)+2^{2} 3^{6} 5^{4} x^{5}(3\\theta+1)(3\\theta+2)(3\\theta+4)(3\\theta+5)", "superseek": "110 729096", "discriminant": "5 1 -881 151803 -8814015 138655800 147622500", "aesz": null, "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "511069e41e6328e47a1ea996049096b4", "dim_h": null, "inst": " 110 12935/2 729096 247828991/2 26419290920 12904638745359/2 1730214446831596 496934881243129784 150410691423145616280 94896624752821217876805/2", "cleanlist": "True", "n_sing_real": "5", "sol_explicit": "", "n_sing_rational": "5", "n_sing": "5", "laurent": null, "discriminant_tex": "(675z-1)(27z-1)(z+1)(-1+90z)^2", "discr_factors": "147622500, z-1/27, z-1/675, z+1, (-1/90+z)^2", "dm_basis": null, "q": "0 1 -147 1905 -523039 -125727555 -35718030747 -10803707045489 -3459885219238779 -1155873774613811283", "yuk": "1 110 51850 19685702 7930579562 3302411365110 1393701004236214 593463555263237538 254430659204413028970 109649394047473173953822", "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":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"1/675","im":"0","approx_re":"0.00148148148148","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/90","im":"0","approx_re":"0.0111111111111","approx_im":"0.0","exponents":["0","1","3","4"],"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":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1/3","2/3","4/3","5/3"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[100*X^4, -54360*X^4-115740*X^3-83970*X^2-26100*X-3000, -881091*X^4+373842*X^3+2790609*X^2+1687170*X+287100, 1691037*X^4+26389800*X^3+18282780*X^2+2822850*X-170100, 15795*(3*X+1)*(3*X+2)*(308*X^2-16*X-231), -1108809*(3*X+1)*(3*X+2)*(3*X+4)*(3*X+5)]", "text": "Operator London 9.\nB-Incarnation as Laurent-polynomial.", "degz": 5, "h3": null, "sol": "1 30 5130 1369200 446603850 163387404180 64392443715600 26737363539057600 11539382918216546250 5130634046649163981500", "n_discr_factors": "2", "c3": null, "operator": "4 5 0 0 0 0 100 -3000 -26100 -83970 -115740 -54360 287100 1687170 2790609 373842 -881091 -170100 2822850 18282780 26389800 1691037 -7297290 -33343245 -25382565 41509260 43783740 -44352360 -259461306 -488984769 -359254116 -89813529", "new_number": "5.127", "id": 211, "operator_tex": "2^{2} 5^{2} \\theta^4-2 3 5 x\\left(1812\\theta^4+3858\\theta^3+2799\\theta^2+870\\theta+100\\right)-3 x^{2}\\left(293697\\theta^4-124614\\theta^3-930203\\theta^2-562390\\theta-95700\\right)+3^{3} x^{3}\\left(62631\\theta^4+977400\\theta^3+677140\\theta^2+104550\\theta-6300\\right)+3^{5} 5 13 x^{4}(3\\theta+1)(3\\theta+2)(308\\theta^2-16\\theta-231)-3^{8} 13^{2} x^{5}(3\\theta+1)(3\\theta+2)(3\\theta+4)(3\\theta+5)", "superseek": "957/10 1581774/5", "discriminant": "5 100 -54360 -881091 1691037 43783740 -89813529", "aesz": null, "n_sing_complex": "3", "inst_int": "", "c2h": null, "hash": "8b1c933faa73767af598d82d1e214624", "dim_h": null, "inst": " 957/10 32493/10 1581774/5 423123141/10 14142369903/2 2699813190345/2 1414792093266129/5 635092306724554077/10 75099101687538986787/5 7403690401192943211969/2", "cleanlist": "True", "n_sing_real": "2", "sol_explicit": "", "n_sing_rational": "2", "n_sing": "5", "laurent": null, "discriminant_tex": "-(6561z^3-4320z^2+567z-1)(10+117z)^2", "discr_factors": "-89813529, (10/117+z)^2, z^3-160/243*z^2+7/81*z-1/6561", "dm_basis": null, "q": "0 1 -141 6186 -527789 -27099930 -9533981088 -2108418624030 -536115030021393 -139918639966848990", "yuk": "1 957/10 260901/10 85416753/10 5416028385/2 4419490595166/5 2915798331249297/10 970547375980565451/10 325167261070051829349/10 109494490260431928152199/10", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-10/117","im":"0","approx_re":"-0.0854700854701","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":"-1/2916*(3610916+728028*I*107^(1/2))^(1/3)-10291/729/(3610916+728028*I*107^(1/2))^(1/3)+160/729+1/6*I*3^(1/2)*(1/486*(3610916+728028*I*107^(1/2))^(1/3)-20582/243/(3610916+728028*I*107^(1/2))^(1/3))","im":"0","approx_re":"0.001788","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/2916*(3610916+728028*I*107^(1/2))^(1/3)-10291/729/(3610916+728028*I*107^(1/2))^(1/3)+160/729-1/6*I*3^(1/2)*(1/486*(3610916+728028*I*107^(1/2))^(1/3)-20582/243/(3610916+728028*I*107^(1/2))^(1/3))","im":"0","approx_re":"0.178154","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/1458*(3610916+728028*I*107^(1/2))^(1/3)+20582/729/(3610916+728028*I*107^(1/2))^(1/3)+160/729","im":"0","approx_re":"0.478494","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":["1/3","2/3","4/3","5/3"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[49*X^4, -98-588*X-1407*X^2-1638*X^3-273*X^4, -15512-68656*X-114922*X^2-86444*X^3-24146*X^4, 128128+323904*X+133572*X^2-193704*X^3-115692*X^4, 428896+1641536*X+2163720*X^2+1018160*X^3+37336*X^4, 16224*(X+1)^2*(6*X+5)*(6*X+7)]", "text": "This is operator \"5.81\" from ...", "degz": 5, "h3": "84", "sol": "1 2 30 308 5950 96252 1973244 38397480 823170366 17515057340", "n_discr_factors": "4", "c3": "-108", "operator": "4 5 0 0 0 0 49 -98 -588 -1407 -1638 -273 -15512 -68656 -114922 -86444 -24146 128128 323904 133572 -193704 -115692 428896 1641536 2163720 1018160 37336 567840 2303808 3488160 2336256 584064", "new_number": "5.81", "id": 295, "operator_tex": "7^{2} \\theta^4-7 x\\left(39\\theta^4+234\\theta^3+201\\theta^2+84\\theta+14\\right)-2 x^{2}\\left(12073\\theta^4+43222\\theta^3+57461\\theta^2+34328\\theta+7756\\right)-2^{2} x^{3}\\left(28923\\theta^4+48426\\theta^3-33393\\theta^2-80976\\theta-32032\\right)+2^{3} 13 x^{4}\\left(359\\theta^4+9790\\theta^3+20805\\theta^2+15784\\theta+4124\\right)+2^{5} 3 13^{2} x^{5}(\\theta+1)^2(6\\theta+5)(6\\theta+7)", "superseek": "5/7 48/7", "discriminant": "5 49 -273 -24146 -115692 37336 584064", "aesz": "312", "n_sing_complex": "0", "inst_int": "", "c2h": "108", "hash": "767262575f8b1458839c1e9a8beacf0a", "dim_h": "23", "inst": " 5/7 239/28 48/7 4451/14 5888/7 177307/7 124308 21455179/7 21345700 3274689851/7", "cleanlist": "True", "n_sing_real": "5", "sol_explicit": "", "n_sing_rational": "5", "n_sing": "5", "laurent": null, "discriminant_tex": "(16z+1)(2z-1)(27z-1)(7+26z)^2", "discr_factors": "584064, z-1/2, z-1/27, (7/26+z)^2, z+1/16", "dm_basis": null, "q": "0 1 -4 -40 248 -1488 -864 -90452 -266448 -17360416", "yuk": "1 5/7 69 1301/7 142915/7 736005/7 38300091/7 298463513/7 1569313509 108927108401/7", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-7/26","im":"0","approx_re":"-0.269230769231","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/16","im":"0","approx_re":"-0.0625","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":"1/27","im":"0","approx_re":"0.037037037037","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/2","im":"0","approx_re":"0.5","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":["5/6","1","1","7/6"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[25*X^4, -995*X^4-1030*X^3-840*X^2-325*X-50, 3919*X^4-12068*X^3-29761*X^2-21850*X-5520, 60320*X^4+176736*X^3+116616*X^2+7560*X-11040, -304816*X^4-1029728*X^3-3095136*X^2-3265328*X-1123744, 587840*X^4+10946432*X^3+27045376*X^2+25031872*X+7990272, -2691648*X^4-9676800*X^3-31082688*X^2-37269504*X-14167296, -23970816*X^4-119605248*X^3-200102400*X^2-140299776*X-35582976, -26873856*(X+1)^4]", "text": "This is operator \"8.63\" from ...", "degz": 8, "h3": null, "sol": "1 2 30 488 9934 219252 5201904 129402240 3338871246 88609731788", "n_discr_factors": "3", "c3": null, "operator": "4 8 0 0 0 0 25 -50 -325 -840 -1030 -995 -5520 -21850 -29761 -12068 3919 -11040 7560 116616 176736 60320 -1123744 -3265328 -3095136 -1029728 -304816 7990272 25031872 27045376 10946432 587840 -14167296 -37269504 -31082688 -9676800 -2691648 -35582976 -140299776 -200102400 -119605248 -23970816 -26873856 -107495424 -161243136 -107495424 -26873856", "new_number": "8.63", "id": 511, "operator_tex": "5^{2} \\theta^4-5 x\\left(199\\theta^4+206\\theta^3+168\\theta^2+65\\theta+10\\right)+x^{2}\\left(3919\\theta^4-12068\\theta^3-29761\\theta^2-21850\\theta-5520\\right)+2^{3} x^{3}\\left(7540\\theta^4+22092\\theta^3+14577\\theta^2+945\\theta-1380\\right)-2^{4} x^{4}\\left(19051\\theta^4+64358\\theta^3+193446\\theta^2+204083\\theta+70234\\right)+2^{6} x^{5}\\left(9185\\theta^4+171038\\theta^3+422584\\theta^2+391123\\theta+124848\\right)-2^{6} 3^{2} x^{6}\\left(4673\\theta^4+16800\\theta^3+53963\\theta^2+64704\\theta+24596\\right)-2^{9} 3^{4} x^{7}\\left(578\\theta^4+2884\\theta^3+4825\\theta^2+3383\\theta+858\\right)-2^{12} 3^{8} x^{8}\\left((\\theta+1)^4\\right)", "superseek": "8/5 67", "discriminant": "8 25 -995 3919 60320 -304816 587840 -2691648 -23970816 -26873856", "aesz": null, "n_sing_complex": "2", "inst_int": "", "c2h": null, "hash": "2c5f91dca73abc39f5d6eb00b9c4ea16", "dim_h": null, "inst": " 8/5 101/10 67 6197/10 32978/5 5114699/60 6004279/5 181646353/10 288778475 23931403561/5", "cleanlist": "True", "n_sing_real": "5", "sol_explicit": "", "n_sing_rational": "2", "n_sing": "7", "laurent": null, "discriminant_tex": "-(8z+1)(648z^3-79z^2+35z-1)(-5+32z+72z^2)^2", "discr_factors": "-26873856, z^3-79/648*z^2+35/648*z-1/648, z+1/8, (-5/72+4/9*z+z^2)^2", "dm_basis": null, "q": "0 1 -5 -33 -71 -1110 -13629 -270585 -4687185 -81808146", "yuk": "1 8/5 412/5 9053/5 198716/5 4122258/5 92074039/5 411893541 46501665084/5 1052597550428/5", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-2/9-1/36*154^(1/2)","im":"0","approx_re":"-0.566935","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/8","im":"0","approx_re":"-0.125","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":"-1/1944*(1900997+2916*28181793^(1/2))^(1/3)+61799/1944/(1900997+2916*28181793^(1/2))^(1/3)+79/1944","im":"0","approx_re":"0.030113","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/3888*(1900997+2916*28181793^(1/2))^(1/3)-61799/3888/(1900997+2916*28181793^(1/2))^(1/3)+79/1944","im":"1/2*3^(1/2)*(-1/1944*(1900997+2916*28181793^(1/2))^(1/3)-61799/1944/(1900997+2916*28181793^(1/2))^(1/3))","approx_re":"0.0459","approx_im":"-0.221678","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/3888*(1900997+2916*28181793^(1/2))^(1/3)-61799/3888/(1900997+2916*28181793^(1/2))^(1/3)+79/1944","im":"-1/2*3^(1/2)*(-1/1944*(1900997+2916*28181793^(1/2))^(1/3)-61799/1944/(1900997+2916*28181793^(1/2))^(1/3))","approx_re":"0.0459","approx_im":"0.221678","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-2/9+1/36*154^(1/2)","im":"0","approx_re":"0.122491","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":["1","1","1","1"],"monodromy":[],"monodromy_dm":[]}]}]}