{"count": 6, "status":"OK", "data":[{"pols": "[X^4, -2560*(X+1/2)^4-2296*(X+1/2)^2-70, 2162688*(X+1)^4+1824768*(X+1)^2+157968, -2097152*(X+3/2)^2*(320*(X+3/2)^2+237), 1073741824*(2*X+3)*(2*X+5)*(4*X+7)*(4*X+9)]", "text": "YY-Operator equivalent to AESZ 37$=C \\ast \\alpha ~tilde c \\ast i$", "degz": 4, "h3": null, "sol": "1 804 655260 563879792 505573095132 465896958146928 437354371109864208 415950446183712897600 399419538832058760105948 386388886442070524565149168", "n_discr_factors": "2", "c3": null, "operator": "4 4 0 0 0 0 1 -804 -3576 -6136 -5120 -2560 4145424 12300288 14800896 8650752 2162688 -4515692544 -10550771712 -9556721664 -4026531840 -671088640 1014686023680 2113123909632 1627792605184 549755813888 68719476736", "new_number": "4.13", "id": 108, "operator_tex": "\\theta^4-2^{2} x\\left(640\\theta^4+1280\\theta^3+1534\\theta^2+894\\theta+201\\right)+2^{4} 3 x^{2}\\left(45056\\theta^4+180224\\theta^3+308352\\theta^2+256256\\theta+86363\\right)-2^{19} x^{3}(320\\theta^2+960\\theta+957)(2\\theta+3)^2+2^{30} x^{4}(2\\theta+3)(2\\theta+5)(4\\theta+7)(4\\theta+9)", "superseek": "-128 -1546624/3", "discriminant": "4 1 -2560 2162688 -671088640 68719476736", "aesz": "~37", "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "c03e4e4ca58f9f1f76c98c8616bc2cbd", "dim_h": null, "inst": " -128 -5232 -1546624/3 -64705008 -7960717440 -1089730087792 -162852262064256 -25631728909937136 -12497550359574176128/3 -696752685957410152304", "cleanlist": "True", "n_sing_real": "3", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "3", "laurent": null, "discriminant_tex": "(1024z-1)^2(256z-1)^2", "discr_factors": "68719476736, (z-1/1024)^2, (z-1/256)^2", "dm_basis": null, "q": "0 1 -360 70956 -14059968 2347124430 -366393345504 54715249671864 -7875068403264000 1076803003734521061", "yuk": "1 -128 -41984 -13919744 -4141162496 -995089680128 -235381712924672 -55858325888039936 -13123445206028976128 -3036904737376538718848", "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":"1/1024","im":"0","approx_re":"0.0009765625","approx_im":"0.0","exponents":["0","-1/2","1","3/2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/256","im":"0","approx_re":"0.00390625","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","7/4","9/4","5/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -4352*(X+1/2)^4-3788*(X+1/2)^2-101, 4743168*(X+1)^4-16128*(X+1)^2+5760, -16384*(X+3/2)^2*(1088*(X+3/2)^2+777), 262144*(2*X+3)*(2*X+5)*(4*X+7)*(4*X+9)]", "text": "YY-Operator equivalent to AESZ 52 $=C \\ast \\gamma \\tilde g \\ast i$", "degz": 4, "h3": null, "sol": "1 1320 2233320 4108451200 7880762169000 15500666950276032 31002086442385793280 62750084039647601541120 128151536375757747156690600 263545260900330847296670945600", "n_discr_factors": "1", "c3": null, "operator": "4 4 0 0 0 0 1 -1320 -5964 -10316 -8704 -4352 4732800 18940416 28442880 18972672 4743168 -118886400 -278839296 -253378560 -106954752 -17825792 247726080 515899392 397410304 134217728 16777216", "new_number": "4.14", "id": 109, "operator_tex": "\\theta^4-2^{2} x\\left(1088\\theta^4+2176\\theta^3+2579\\theta^2+1491\\theta+330\\right)+2^{7} 3 x^{2}\\left(12352\\theta^4+49408\\theta^3+74070\\theta^2+49324\\theta+12325\\right)-2^{12} x^{3}(1088\\theta^2+3264\\theta+3225)(2\\theta+3)^2+2^{18} x^{4}(2\\theta+3)(2\\theta+5)(4\\theta+7)(4\\theta+9)", "superseek": "-340 -15174100/3", "discriminant": "4 1 -4352 4743168 -17825792 16777216", "aesz": null, "n_sing_complex": "1", "inst_int": "", "c2h": null, "hash": "a961869d91c2f73091913e8f8c4b5fa0", "dim_h": null, "inst": " -340 -31985 -15174100/3 -1036481610 -246612212640 -193707689567825/3 -18075181026722460 -5315792147784226530 -4871206859483840096080/3 -511100579616840965458760", "cleanlist": "True", "n_sing_real": "1", "sol_explicit": "", "n_sing_rational": "1", "n_sing": "2", "laurent": null, "discriminant_tex": "(1-2176z+4096z^2)^2", "discr_factors": "16777216, (1/4096-17/32*z+z^2)^2", "dm_basis": null, "q": "0 1 -684 159966 -18790896 1346499885 -101313680232 1393122481170 -2524801413772992 -640923118711447290", "yuk": "1 -340 -256220 -136567240 -66335079260 -30826526580340 -13946953785706520 -6199787092165804120 -2721685579731859062620 -1183703266854573279914680", "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":"17/64-3/16*2^(1/2)","im":"0","approx_re":"0.00046","approx_im":"0.0","exponents":["0","-1/2","1","3/2"],"monodromy":[],"monodromy_dm":[]},{"re":"17/64+3/16*2^(1/2)","im":"0","approx_re":"0.53079","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","7/4","9/4","5/2"],"monodromy":[],"monodromy_dm":[]}]}, {"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, -3072*(X+1/2)^4-2704*(X+1/2)^2-76, 2490368*(X+1)^4+462848*(X+1)^2+41472, -1048576*(X+3/2)^2*(192*(X+3/2)^2+139), 67108864*(2*X+3)*(2*X+5)*(4*X+7)*(4*X+9)]", "text": "YY-Operator equivalent to $C \\ast \\epsilon ~d \\ast i$", "degz": 4, "h3": null, "sol": "1 944 1093840 1379945728 1816122981136 2451227225468672 3364375797938504960 4673256047979115089920 6549780543792076135009552 9243985820818857390612566784", "n_discr_factors": "1", "c3": null, "operator": "4 4 0 0 0 0 1 -944 -4240 -7312 -6144 -3072 2994688 10887168 15405056 9961472 2490368 -1347158016 -3155165184 -2863661056 -1207959552 -201326592 63417876480 132070244352 101737037824 34359738368 4294967296", "new_number": "4.16", "id": 111, "operator_tex": "\\theta^4-2^{4} x\\left(192\\theta^4+384\\theta^3+457\\theta^2+265\\theta+59\\right)+2^{9} x^{2}\\left(4864\\theta^4+19456\\theta^3+30088\\theta^2+21264\\theta+5849\\right)-2^{18} x^{3}(192\\theta^2+576\\theta+571)(2\\theta+3)^2+2^{26} x^{4}(2\\theta+3)(2\\theta+5)(4\\theta+7)(4\\theta+9)", "superseek": "-208 -1863312", "discriminant": "4 1 -3072 2490368 -201326592 4294967296", "aesz": null, "n_sing_complex": "1", "inst_int": "", "c2h": null, "hash": "ff22b96c1af3d06292a97d4dee085628", "dim_h": null, "inst": " -208 -15098 -1863312 -284211001 -50414626800 -9859373378738 -2058387737996368 -451368681647582495 -102784607370050148224 -24115956485115626688670", "cleanlist": "True", "n_sing_real": "1", "sol_explicit": "", "n_sing_rational": "1", "n_sing": "2", "laurent": null, "discriminant_tex": "(1-1536z+65536z^2)^2", "discr_factors": "4294967296, (1/65536-3/128*z+z^2)^2", "dm_basis": null, "q": "0 1 -464 73984 -8463360 1129673136 -149983806976 14521322394624 -2003739846541312 96130548058708120", "yuk": "1 -208 -120992 -50309632 -18189625056 -6301828350208 -2129624700237824 -706026994132754432 -231100765021751862496 -74929978772766608364928", "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":"3/256-1/128*2^(1/2)","im":"0","approx_re":"0.00067","approx_im":"0.0","exponents":["0","-1/2","1","3/2"],"monodromy":[],"monodromy_dm":[]},{"re":"3/256+1/128*2^(1/2)","im":"0","approx_re":"0.022767","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","7/4","9/4","5/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -2304*(X+1/2)^4-2028*(X+1/2)^2-57, 1105920*(X+1)^4-725760*(X+1)^2-62928, 1327104*(X+3/2)^2*(192*(X+3/2)^2+139), 191102976*(2*X+3)*(2*X+5)*(4*X+7)*(4*X+9)]", "text": "YY-Operator equivalent to $C \\ast \\zeta ~tilde f \\ast i$", "degz": 4, "h3": null, "sol": "1 708 700740 738956400 811309522500 912383013204432 1042806404789628336 1205821890196940427840 1406588787702335655346500 1652031692435448147788250000", "n_discr_factors": "1", "c3": null, "operator": "4 4 0 0 0 0 1 -708 -3180 -5484 -4608 -2304 317232 2972160 5909760 4423680 1105920 1704996864 3993255936 3624321024 1528823808 254803968 180592312320 376090656768 289712111616 97844723712 12230590464", "new_number": "4.17", "id": 112, "operator_tex": "\\theta^4-2^{2} 3 x\\left(192\\theta^4+384\\theta^3+457\\theta^2+265\\theta+59\\right)+2^{4} 3^{2} x^{2}\\left(7680\\theta^4+30720\\theta^3+41040\\theta^2+20640\\theta+2203\\right)+2^{12} 3^{4} x^{3}(192\\theta^2+576\\theta+571)(2\\theta+3)^2+2^{18} 3^{6} x^{4}(2\\theta+3)(2\\theta+5)(4\\theta+7)(4\\theta+9)", "superseek": "-156 -1229332", "discriminant": "4 1 -2304 1105920 254803968 12230590464", "aesz": null, "n_sing_complex": "1", "inst_int": "", "c2h": null, "hash": "245e2566c8da93abbfc4296923ccba12", "dim_h": null, "inst": " -156 -12549 -1229332 -175559052 -27542017056 -4847609100799 -903993545346132 -177568890996902412 -108530823268261557056/3 -7596937360026971320344", "cleanlist": "True", "n_sing_real": "1", "sol_explicit": "", "n_sing_rational": "1", "n_sing": "2", "laurent": null, "discriminant_tex": "(-1+1152z+110592z^2)^2", "discr_factors": "12230590464, (-1/110592+1/96*z+z^2)^2", "dm_basis": null, "q": "0 1 -348 15534 5476048 -832252683 6797095992 8198150318738 -1105289746060224 -45282071782478718", "yuk": "1 -156 -100548 -33192120 -11235879876 -3442752132156 -1047083599065096 -310069786053723432 -90915272201649914820 -26372990054187591556728", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/192-1/288*3^(1/2)","im":"0","approx_re":"-0.011222","approx_im":"0.0","exponents":["0","-1/2","1","3/2"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"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":"-1/192+1/288*3^(1/2)","im":"0","approx_re":"0.000806","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","7/4","9/4","5/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -2816*(X+1/2)^4-2564*(X+1/2)^2-83, 3006464*(X+1)^4+3564800*(X+1)^2+308336, -2048000*(X+3/2)^2*(704*(X+3/2)^2+531), 4096000000*(2*X+3)*(2*X+5)*(4*X+7)*(4*X+9)]", "text": "YY-Operator equivalent to $C \\ast \\eta ~b \\ast i$", "degz": 4, "h3": null, "sol": "1 900 701100 515510800 365497137900 251698064854896 168714604297656560 110000961860877172800 69543595786149130545900 42370884564129031005009200", "n_discr_factors": "1", "c3": null, "operator": "4 4 0 0 0 0 1 -900 -3972 -6788 -5632 -2816 6879600 19155456 21603584 12025856 3006464 -9745920000 -22726656000 -20551680000 -8650752000 -1441792000 3870720000000 8060928000000 6209536000000 2097152000000 262144000000", "new_number": "4.18", "id": 113, "operator_tex": "\\theta^4-2^{2} x\\left(704\\theta^4+1408\\theta^3+1697\\theta^2+993\\theta+225\\right)+2^{4} x^{2}\\left(187904\\theta^4+751616\\theta^3+1350224\\theta^2+1197216\\theta+429975\\right)-2^{12} 5^{3} x^{3}(704\\theta^2+2112\\theta+2115)(2\\theta+3)^2+2^{18} 5^{6} x^{4}(2\\theta+3)(2\\theta+5)(4\\theta+7)(4\\theta+9)", "superseek": "-100 126580", "discriminant": "4 1 -2816 3006464 -1441792000 262144000000", "aesz": null, "n_sing_complex": "1", "inst_int": "", "c2h": null, "hash": "3ab4956c5da76dad5e104e338e7c0128", "dim_h": null, "inst": " -100 -1260 126580 12033300 1211646512 95291744220 6051006366100 25532819388820 -62676985866252520 -11991679685845617392", "cleanlist": "True", "n_sing_real": "1", "sol_explicit": "", "n_sing_rational": "1", "n_sing": "2", "laurent": null, "discriminant_tex": "(512000z^2-1408z+1)^2", "discr_factors": "262144000000, (z^2-11/4000*z+1/512000)^2", "dm_basis": null, "q": "0 1 -372 103206 -23318608 4800264705 -906363458040 163308814938546 -28110319795940160 4692035680985357844", "yuk": "1 -100 -10180 3417560 770121020 151455813900 20583020159000 2075495183572200 13072804297196860 -45691522696494669520", "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":"11/8000","im":"-1/4000","approx_re":"0.001375","approx_im":"-0.00025","exponents":["0","-1/2","1","3/2"],"monodromy":[],"monodromy_dm":[]},{"re":"11/8000","im":"1/4000","approx_re":"0.001375","approx_im":"0.00025","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":[]}]}]}