{"count": 22, "status":"OK", "data":[{"pols": "[X^4, -1296*(X+1/2)^4-1152*(X+1/2)^2-33, 443232*(X+1)^4+90072*(X+1)^2+7308, -3779136*(X+3/2)^2*(4*(X+3/2)^2+3), 944784*(2*X+3)*(2*X+5)*(6*X+11)*(6*X+13)]", "text": "YY-Operator equivalent to AESZ 170=$d \\ast h \\tilde B \\ast \\epsilon$", "degz": 4, "h3": null, "sol": "1 402 197010 104962956 58311249066 33214816772676 19237340237054940 11275171083526676040 6667676790890365989882 3970438396828869620358132", "n_discr_factors": "1", "c3": null, "operator": "4 4 0 0 0 0 1 -402 -1800 -3096 -2592 -1296 540612 1953072 2749464 1772928 443232 -102036672 -238085568 -215410752 -90699264 -15116544 2026561680 4202399232 3227382144 1088391168 136048896", "new_number": "4.10", "id": 105, "operator_tex": "\\theta^4-2 3 x\\left(216\\theta^4+432\\theta^3+516\\theta^2+300\\theta+67\\right)+2^{2} 3^{2} x^{2}\\left(12312\\theta^4+49248\\theta^3+76374\\theta^2+54252\\theta+15017\\right)-2^{6} 3^{10} x^{3}(\\theta^2+3\\theta+3)(2\\theta+3)^2+2^{4} 3^{10} x^{4}(2\\theta+3)(2\\theta+5)(6\\theta+11)(6\\theta+13)", "superseek": "-84 -148820", "discriminant": "4 1 -1296 443232 -15116544 136048896", "aesz": null, "n_sing_complex": "1", "inst_int": "", "c2h": null, "hash": "fc2837f1001e57a5cc53749a08d4f2bf", "dim_h": null, "inst": " -84 -5271/2 -148820 -41373213/4 -836813460 -149029320727/2 -7085845912404 -2830424545606623/4 -73374371515541012 -15677869461132014535/2", "cleanlist": "True", "n_sing_real": "1", "sol_explicit": "", "n_sing_rational": "1", "n_sing": "2", "laurent": null, "discriminant_tex": "(1-648z+11664z^2)^2", "discr_factors": "136048896, (1/11664-1/18*z+z^2)^2", "dm_basis": null, "q": "0 1 -192 11916 -559360 30385806 -1707803136 54439705208 -4825641228288 -74261173085595", "yuk": "1 -84 -21168 -4018224 -661992576 -104601682584 -16095170677824 -2430445147954656 -362294342499640320 -53489916834833415972", "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":"1/36-1/54*2^(1/2)","im":"0","approx_re":"0.001589","approx_im":"0.0","exponents":["0","-1/2","1","3/2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/36+1/54*2^(1/2)","im":"0","approx_re":"0.053967","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":[]}]}, {"pols": "[X^4, -972*(X+1/2)^4-864*(X+1/2)^2-99/4, 196830*(X+1)^4-251505/2*(X+1)^2-46413/4, 4782969*(X+3/2)^2*(4*(X+3/2)^2+3), 43046721/16*(2*X+3)*(2*X+5)*(6*X+11)*(6*X+13)]", "text": "This is operator \"4.11\" from ...", "degz": 4, "h3": null, "sol": "1 603/2 1008855/8 898513875/16 3331190162475/128 3161945411895501/256 6099993792665917011/1024 5952504034504427078115/2048 46875561168026465063658675/32768 46457746073264645346945105225/65536", "n_discr_factors": "1", "c3": null, "operator": "4 4 0 0 0 0 1 -603/2 -1350 -2322 -1944 -972 237897/4 535815 2110455/2 787320 196830 129140163 301327047 272629233 114791256 19131876 92335216545/16 11966988438 18380949867/2 3099363912 387420489", "new_number": "4.11", "id": 106, "operator_tex": "\\theta^4-x\\left(972\\theta^4+1944\\theta^3+2322\\theta^2+1350\\theta+603/2\\right)+x^{2}\\left(196830\\theta^4+787320\\theta^3+2110455/2\\theta^2+535815\\theta+237897/4\\right)+3^{14} x^{3}(\\theta^2+3\\theta+3)(2\\theta+3)^2+x^{4}43046721/16(2\\theta+3)(2\\theta+5)(6\\theta+11)(6\\theta+13)", "superseek": "-63 -96866", "discriminant": "4 1 -972 196830 19131876 387420489", "aesz": null, "n_sing_complex": "1", "inst_int": "", "c2h": null, "hash": "39ed55f37672c58e7ce182c4c33d4a66", "dim_h": null, "inst": " -63 -8757/4 -96866 -6253821 -446217723 -71032541839/2 -3003468049764 -267200854617627 -24665476255290500 -9385209703933096257/4", "cleanlist": "True", "n_sing_real": "1", "sol_explicit": "", "n_sing_rational": "1", "n_sing": "2", "laurent": null, "discriminant_tex": "(-1+486z+19683z^2)^2", "discr_factors": "387420489, (-1/19683+2/81*z+z^2)^2", "dm_basis": null, "q": "0 1 -144 2106 395286 -22796343 -78199830 35931296835 -2490116826726 -108328486058532", "yuk": "1 -63 -17577 -2615445 -400262121 -55777215438 -7671517151571 -1030189541069115 -136806837964487145 -17981132190109389945", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/81-2/243*3^(1/2)","im":"0","approx_re":"-0.026601","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":"-1/81+2/243*3^(1/2)","im":"0","approx_re":"0.00191","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":[]}]}, {"pols": "[X^4, -1188*(X+1/2)^4-1092*(X+1/2)^2-141/4, 535086*(X+1)^4+1287495/2*(X+1)^2+223011/4, -820125*(X+3/2)^2*(132*(X+3/2)^2+103), 922640625/16*(2*X+3)*(2*X+5)*(6*X+11)*(6*X+13)]", "text": "YY-operator equivalent to AESZ $=b \\ast h ~B \\ast \\eta$", "degz": 4, "h3": null, "sol": "1 765/2 1009575/8 627988725/16 1505754528075/128 876427978866363/256 992952700080876675/1024 547116035902478345925/2048 2338776827733813875961075/32768 1204708667299330204097718975/65536", "n_discr_factors": "1", "c3": null, "operator": "4 4 0 0 0 0 1 -765/2 -1686 -2874 -2376 -1188 4938345/4 3427839 7708527/2 2140344 535086 -738112500 -1714881375 -1545935625 -649539000 -108256500 1979064140625/16 256494093750 393967546875/2 66430125000 8303765625", "new_number": "4.12", "id": 107, "operator_tex": "\\theta^4-x\\left(1188\\theta^4+2376\\theta^3+2874\\theta^2+1686\\theta+765/2\\right)+x^{2}\\left(535086\\theta^4+2140344\\theta^3+7708527/2\\theta^2+3427839\\theta+4938345/4\\right)-3^{8} 5^{3} x^{3}(33\\theta^2+99\\theta+100)(2\\theta+3)^2+x^{4}922640625/16(2\\theta+3)(2\\theta+5)(6\\theta+11)(6\\theta+13)", "superseek": "-45 7080", "discriminant": "4 1 -1188 535086 -108256500 8303765625", "aesz": null, "n_sing_complex": "1", "inst_int": "", "c2h": null, "hash": "6c95cb50a57e8a1c96a5a4e3e353cb85", "dim_h": null, "inst": " -45 -135 7080 406035 17168436 631199430 17671792905 115936332615 -29577913105800 -2692376094481614", "cleanlist": "True", "n_sing_real": "1", "sol_explicit": "", "n_sing_rational": "1", "n_sing": "2", "laurent": null, "discriminant_tex": "(1-594z+91125z^2)^2", "discr_factors": "8303765625, (1/91125-22/3375*z+z^2)^2", "dm_basis": null, "q": "0 1 -156 18144 -1724866 150548730 -12113124102 936247114643 -69434363509134 5017792372971057", "yuk": "1 -45 -1125 191115 25985115 2146054455 136339266915 6061424966370 59359428283995 -21562298653937085", "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":"11/3375","im":"-2/3375","approx_re":"0.00325925925926","approx_im":"-0.000592592592593","exponents":["0","-1/2","1","3/2"],"monodromy":[],"monodromy_dm":[]},{"re":"11/3375","im":"2/3375","approx_re":"0.00325925925926","approx_im":"0.000592592592593","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":[]}]}, {"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":[]}]}, {"pols": "[X^4, -29376*(X+1/2)^4-25212*(X+1/2)^2-645, 216110592*(X+1)^4-5987520*(X+1)^2+430272, -6718464*(X+3/2)^2*(816*(X+3/2)^2+553), 967458816*(2*X+3)*(2*X+5)*(3*X+5)*(3*X+7)]", "text": "YY-Operator equivalent to AESZ 149=$D \\ast \\gamma ~tilde g \\ast j$", "degz": 4, "h3": null, "sol": "1 8784 99982728 1239742123200 16039070549564328 212836312970070451200 2872358362827386137216512 39233318289531856214440015872 540734177784604434526512261576360 7505029434484718126637814782745333632", "n_discr_factors": "1", "c3": null, "operator": "4 4 0 0 0 0 1 -8784 -39900 -69276 -58752 -29376 210553344 852467328 1290676032 864442368 216110592 -36113423616 -85156531200 -77725910016 -32893599744 -5482266624 507915878400 1064204697600 823307452416 278628139008 34828517376", "new_number": "4.20", "id": 116, "operator_tex": "\\theta^4-2^{2} 3 x\\left(2448\\theta^4+4896\\theta^3+5773\\theta^2+3325\\theta+732\\right)+2^{6} 3^{4} x^{2}\\left(41688\\theta^4+166752\\theta^3+248973\\theta^2+164442\\theta+40616\\right)-2^{8} 3^{8} x^{3}(816\\theta^2+2448\\theta+2389)(2\\theta+3)^2+2^{14} 3^{10} x^{4}(2\\theta+3)(2\\theta+5)(3\\theta+5)(3\\theta+7)", "superseek": "-2484 -1327731388", "discriminant": "4 1 -29376 216110592 -5482266624 34828517376", "aesz": null, "n_sing_complex": "1", "inst_int": "", "c2h": null, "hash": "80035e90a6f24cd6da3d4c5adc98379f", "dim_h": null, "inst": " -2484 -1446309 -1327731388 -1580284433106 -2187358898922144 -3333084983275758103 -5431476536808370628796 -9299939636087488614405114 -16540355956250846925699785968 -30316727187835571138135877667944", "cleanlist": "True", "n_sing_real": "1", "sol_explicit": "", "n_sing_rational": "1", "n_sing": "2", "laurent": null, "discriminant_tex": "(1-14688z+186624z^2)^2", "discr_factors": "34828517376, (1/186624-17/216*z+z^2)^2", "dm_basis": null, "q": "0 1 -4764 8528094 -8141036080 4977670007085 -2438688593316744 1130289677354089490 -1033297716399959256000 48984521650677347996934", "yuk": "1 -2484 -11572956 -35848749960 -101138215291740 -273419862365270484 -719946356423424070680 -1862996452125271125679512 -4761569093676895308790710108 -12057919492106867408870992720632", "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":"17/432-1/36*2^(1/2)","im":"0","approx_re":"6.8e-05","approx_im":"0.0","exponents":["0","-1/2","1","3/2"],"monodromy":[],"monodromy_dm":[]},{"re":"17/432+1/36*2^(1/2)","im":"0","approx_re":"0.078636","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, -12096*(X+1/2)^4-10788*(X+1/2)^2-339, 8726976+101590848*(X+1)^2+66811392*(X+1)^4, -544195584*(X+3/2)^2*(336*(X+3/2)^2+239), 6347497291776*(2*X+3)*(2*X+5)*(3*X+5)*(3*X+7)]", "text": "This is operator \"4.21\" from ...", "degz": 4, "h3": null, "sol": "1 3792 9275400 7430606400 -68166524583000 -464596341265343232 -1718931909208528295424 -3618348072352420690483200 2300184841205997345252767400 61995153436412843743197951907200", "n_discr_factors": "1", "c3": null, "operator": "4 4 0 0 0 0 1 -3792 -16836 -28932 -24192 -12096 177129216 470427264 502459200 267245568 66811392 -1218317863680 -2858659402752 -2598533913600 -1097098297344 -182849716224 3332436078182400 6982247020953600 5401720195301376 1828079220031488 228509902503936", "new_number": "4.21", "id": 117, "operator_tex": "\\theta^4-2^{2} 3 x\\left(1008\\theta^4+2016\\theta^3+2411\\theta^2+1403\\theta+316\\right)+2^{6} 3^{2} x^{2}\\left(115992\\theta^4+463968\\theta^3+872325\\theta^2+816714\\theta+307516\\right)-2^{8} 3^{12} x^{3}(336\\theta^2+1008\\theta+995)(2\\theta+3)^2+2^{14} 3^{18} x^{4}(2\\theta+3)(2\\theta+5)(3\\theta+5)(3\\theta+7)", "superseek": "-492 136094428", "discriminant": "4 1 -12096 66811392 -182849716224 228509902503936", "aesz": null, "n_sing_complex": "1", "inst_int": "", "c2h": null, "hash": "595707be6cb20abc1dfeecf72492ae5f", "dim_h": null, "inst": " -492 128514 136094428 32416215738 -16919954920032 -25081894126382570 -10798647846388664100 4628276637816545092050 9612599272287001934026096 5072299890987974052401948304", "cleanlist": "True", "n_sing_real": "1", "sol_explicit": "", "n_sing_rational": "1", "n_sing": "2", "laurent": null, "discriminant_tex": "(15116544z^2-6048z+1)^2", "discr_factors": "228509902503936, (z^2-7/17496*z+1/15116544)^2", "dm_basis": null, "q": "0 1 -1668 3129822 -3591051856 4582578534189 -4682795317633080 4948605373685854994 -4702733898277550411328 4489208769582109560324870", "yuk": "1 -492 1027620 3674549064 2074638834852 -2114994365004492 -5417689127623057944 -3703936211311311786792 2369677638564145725964452 7007584869497224413579573048", "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":"7/34992","im":"-1/8748*2^(1/2)","approx_re":"0.000200045724737","approx_im":"-0.000162","exponents":["0","-1/2","1","3/2"],"monodromy":[],"monodromy_dm":[]},{"re":"7/34992","im":"1/8748*2^(1/2)","approx_re":"0.000200045724737","approx_im":"0.000162","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, -20736*(X+1/2)^4-18000*(X+1/2)^2-492, 113467392*(X+1)^4+18330624*(X+1)^2+1939968, -3869835264*(X+3/2)^2*(16*(X+3/2)^2+11), 247669456896*(2*X+3)*(2*X+5)*(3*X+5)*(3*X+7)]", "text": "YY-Operator equivalent to $D \\ast \\epsilon \\tilde d \\ast j$", "degz": 4, "h3": null, "sol": "1 6288 49006800 416705452800 3698851729136400 33681272937781480704 311932982382295022191872 2923944709736219442719846400 27656388114594756400576052989200 263429909404593083347831575185875200", "n_discr_factors": "1", "c3": null, "operator": "4 4 0 0 0 0 1 -6288 -28368 -49104 -41472 -20736 133737984 490530816 699134976 453869568 113467392 -409235079168 -963588980736 -878452604928 -371504185344 -61917364224 130026464870400 272436402585600 210766707818496 71328803586048 8916100448256", "new_number": "4.22", "id": 118, "operator_tex": "\\theta^4-2^{4} 3 x\\left(432\\theta^4+864\\theta^3+1023\\theta^2+591\\theta+131\\right)+2^{9} 3^{2} x^{2}\\left(24624\\theta^4+98496\\theta^3+151722\\theta^2+106452\\theta+29023\\right)-2^{14} 3^{10} x^{3}(16\\theta^2+48\\theta+47)(2\\theta+3)^2+2^{22} 3^{10} x^{4}(2\\theta+3)(2\\theta+5)(3\\theta+5)(3\\theta+7)", "superseek": "-1488 -517984144", "discriminant": "4 1 -20736 113467392 -61917364224 8916100448256", "aesz": null, "n_sing_complex": "1", "inst_int": "", "c2h": null, "hash": "7d70f749f0fd6381c088f4c1fac4d6df", "dim_h": null, "inst": " -1488 -704730 -517984144 -469396561641 -493072108113648 -573124059144496402 -710282017068116797776 -924822665992369737350799 -1250674565943802068474015616 -1742649598747772220671160126270", "cleanlist": "True", "n_sing_real": "1", "sol_explicit": "", "n_sing_rational": "1", "n_sing": "2", "laurent": null, "discriminant_tex": "(2985984z^2-10368z+1)^2", "discr_factors": "8916100448256, (z^2-1/288*z+1/2985984)^2", "dm_basis": null, "q": "0 1 -3216 3831552 -3121472512 2886132664752 -2689021314141696 2061211926480499712 -1595527447063571496960 1098926330327365589088408", "yuk": "1 -1488 -5639328 -13985573376 -30041385584352 -61634013514207488 -123794796789202434048 -243626731854364061638656 -473509204988123346909193440 -911741758573031707931542957440", "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":"1/576-1/864*2^(1/2)","im":"0","approx_re":"9.9e-05","approx_im":"0.0","exponents":["0","-1/2","1","3/2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/576+1/864*2^(1/2)","im":"0","approx_re":"0.003373","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, -15552*(X+1/2)^4-13500*(X+1/2)^2-369, 50388480*(X+1)^4-34292160*(X+1)^2-2702160, 4897760256*(X+3/2)^2*(16*(X+3/2)^2+11), 705277476864*(2*X+3)*(2*X+5)*(3*X+5)*(3*X+7)]", "text": "This is operator \"4.23\" from ...", "degz": 4, "h3": null, "sol": "1 4716 31430916 223425214992 1654537886846532 12553361207715469680 96815184264340183464624 755472658494095667308730816 5947354313754393026474138585412 47142591780478152347203384002983472", "n_discr_factors": "1", "c3": null, "operator": "4 4 0 0 0 0 1 -4716 -21276 -36828 -31104 -15552 13394160 132969600 268038720 201553920 50388480 517938147072 1219542303744 1111791578112 470184984576 78364164096 370270675353600 775805224550400 600191132811264 203119913336832 25389989167104", "new_number": "4.23", "id": 119, "operator_tex": "\\theta^4-2^{2} 3^{2} x\\left(432\\theta^4+864\\theta^3+1023\\theta^2+591\\theta+131\\right)+2^{4} 3^{5} 5 x^{2}\\left(2592\\theta^4+10368\\theta^3+13788\\theta^2+6840\\theta+689\\right)+2^{8} 3^{14} x^{3}(16\\theta^2+48\\theta+47)(2\\theta+3)^2+2^{14} 3^{16} x^{4}(2\\theta+3)(2\\theta+5)(3\\theta+5)(3\\theta+7)", "superseek": "-1116 -349462868", "discriminant": "4 1 -15552 50388480 78364164096 25389989167104", "aesz": null, "n_sing_complex": "1", "inst_int": "", "c2h": null, "hash": "4cde44ecce8658b2c2ca6b3c279f4e62", "dim_h": null, "inst": " -1116 -586989 -349462868 -300569202144 -280354383814176 -296982683718981431 -330942057079152291732 -389740226852216102058576 -475399528533641734868803520 -598109644529459007164316811224", "cleanlist": "True", "n_sing_real": "1", "sol_explicit": "", "n_sing_rational": "1", "n_sing": "2", "laurent": null, "discriminant_tex": "(5038848z^2+7776z-1)^2", "discr_factors": "25389989167104, (z^2+1/648*z-1/5038848)^2", "dm_basis": null, "q": "0 1 -2412 949806 1750469136 -2111572819467 375181321827672 974436435410694930 -921111319627599911616 48784763819176278750594", "yuk": "1 -1116 -4697028 -9435498552 -19236433634244 -35044297976773116 -64148259692740183560 -113513125578149236065192 -199546996148353880687625156 -346566256301024824728793264632", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/1296-1/1944*3^(1/2)","im":"0","approx_re":"-0.001663","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":"-1/1296+1/1944*3^(1/2)","im":"0","approx_re":"0.000119","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, -19008*(X+1/2)^4-17076*(X+1/2)^2-555, 136982016*(X+1)^4+159091776*(X+1)^2+13734000, -839808000*(X+3/2)^2*(528*(X+3/2)^2+379), 15116544000000*(2*X+3)*(2*X+5)*(3*X+5)*(3*X+7)]", "text": "YY-Operator equivalent to $D \\ast \\eta ~b \\ast j$", "degz": 4, "h3": null, "sol": "1 6012 31439916 155468925360 741919701370860 3440334229212106512 15530980276763547700464 68197609142431078878827712 290322230075367777254926104300 1190585994177540597112900197838800", "n_discr_factors": "1", "c3": null, "operator": "4 4 0 0 0 0 1 -6012 -26580 -45588 -38016 -19008 309807792 866111616 980983872 547928064 136982016 -2960953056000 -6941013120000 -6304438656000 -2660511744000 -443418624000 7936185600000000 16628198400000000 12864178944000000 4353564672000000 544195584000000", "new_number": "4.24", "id": 120, "operator_tex": "\\theta^4-2^{2} 3 x\\left(1584\\theta^4+3168\\theta^3+3799\\theta^2+2215\\theta+501\\right)+2^{4} 3^{2} x^{2}\\left(951264\\theta^4+3805056\\theta^3+6812388\\theta^2+6014664\\theta+2151443\\right)-2^{8} 3^{8} 5^{3} x^{3}(528\\theta^2+1584\\theta+1567)(2\\theta+3)^2+2^{14} 3^{10} 5^{6} x^{4}(2\\theta+3)(2\\theta+5)(3\\theta+5)(3\\theta+7)", "superseek": "-612 51318900", "discriminant": "4 1 -19008 136982016 -443418624000 544195584000000", "aesz": null, "n_sing_complex": "1", "inst_int": "", "c2h": null, "hash": "dc90e303db3462d0c0bd472762000ad5", "dim_h": null, "inst": " -612 -87372 51318900 24336059400 14111081636400 7632101153972412 2689453850253788052 -105216147647189676072 -1507370707788027902059752 -1598466549261264907286790000", "cleanlist": "True", "n_sing_real": "1", "sol_explicit": "", "n_sing_rational": "1", "n_sing": "2", "laurent": null, "discriminant_tex": "(23328000z^2-9504z+1)^2", "discr_factors": "544195584000000, (z^2-11/27000*z+1/23328000)^2", "dm_basis": null, "q": "0 1 -2532 4785318 -7335393424 10147405409025 -12793574387745432 15259861218545289266 -17285394597615440227392 18862018194471740749530900", "yuk": "1 -612 -699588 1385609688 1557507102012 1763885204549388 1648533850642951704 922482670637049301224 -53870667593803607046852 -1098873245977472339215949520", "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":"11/54000","im":"-1/27000","approx_re":"0.000203703703704","approx_im":"-3.7037037037e-05","exponents":["0","-1/2","1","3/2"],"monodromy":[],"monodromy_dm":[]},{"re":"11/54000","im":"1/27000","approx_re":"0.000203703703704","approx_im":"3.7037037037e-05","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, -540*(X+1/2)^4-486*(X+1/2)^2-57/4, 72846*(X+1)^4+6915/2*(X+1)^2+3/4, 14580*(X+3/2)^4+12717*(X+3/2)^2+324, 9/16*(6*X+11)^2*(6*X+13)^2]", "text": "Sporadic YY-Operator", "degz": 4, "h3": null, "sol": "1 339/2 287415/8 131845323/16 251852894379/128 123238332726741/256 122592505348354995/1024 61692704367754625307/2048 250561664907978069535923/32768 128080461905587807503878001/65536", "n_discr_factors": "1", "c3": null, "operator": "4 4 0 0 0 0 1 -339/2 -756 -1296 -1080 -540 305217/4 298299 881067/2 291384 72846 205497/2 234981 209547 87480 14580 184041/16 23166 34911/2 5832 729", "new_number": "4.25", "id": 121, "operator_tex": "\\theta^4-x\\left(540\\theta^4+1080\\theta^3+1296\\theta^2+756\\theta+339/2\\right)+x^{2}\\left(72846\\theta^4+291384\\theta^3+881067/2\\theta^2+298299\\theta+305217/4\\right)+x^{3}\\left(14580\\theta^4+87480\\theta^3+209547\\theta^2+234981\\theta+205497/2\\right)+x^{4}9/16(6\\theta+11)^2(6\\theta+13)^2", "superseek": "-33 -13051", "discriminant": "4 1 -540 72846 14580 729", "aesz": "32", "n_sing_complex": "1", "inst_int": "", "c2h": null, "hash": "bf53401dcbe0436fb67761f590ee3295", "dim_h": null, "inst": " -33 -1995/4 -13051 -435975 -16838124 -2857251193/4 -32366430885 -1539790563111 -76052716745077 -3869806769783889", "cleanlist": "True", "n_sing_real": "1", "sol_explicit": "", "n_sing_rational": "1", "n_sing": "2", "laurent": null, "discriminant_tex": "(-1+270z+27z^2)^2", "discr_factors": "729, (-1/27+10*z+z^2)^2", "dm_basis": null, "q": "0 1 -78 1443 -9854 -69069 -4239612 -241242846 -13365451086 -752315479929", "yuk": "1 -33 -4023 -352410 -27906423 -2104765533 -154291920822 -11101685793588 -788372796219255 -55442430507513543", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-5-26/9*3^(1/2)","im":"0","approx_re":"-10.003702","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":"-5+26/9*3^(1/2)","im":"0","approx_re":"0.003702","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":["11/6","11/6","13/6","13/6"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -1088*(X+1/2)^4-964*(X+1/2)^2-27, 296448*(X+1)^4+8256*(X+1)^2+192, -1024*(X+3/2)^2*(272*(X+3/2)^2+207), 16384*(X+2)^2*(2*X+3)*(2*X+5)]", "text": "YY-Operator equivalent to AESZ 44=$ A \\ast \\gamma$", "degz": 4, "h3": null, "sol": "1 336 142728 65762368 31568339880 15533012968704 7770174392268288 3933113259549247488 2008605043302914864808 1032883937290818939314560", "n_discr_factors": "1", "c3": null, "operator": "4 4 0 0 0 0 1 -336 -1508 -2596 -2176 -1088 304896 1202304 1786944 1185792 296448 -1886976 -4396032 -3972096 -1671168 -278528 983040 2031616 1556480 524288 65536", "new_number": "4.2", "id": 126, "operator_tex": "\\theta^4-2^{2} x\\left(272\\theta^4+544\\theta^3+649\\theta^2+377\\theta+84\\right)+2^{6} 3 x^{2}\\left(1544\\theta^4+6176\\theta^3+9307\\theta^2+6262\\theta+1588\\right)-2^{8} x^{3}(272\\theta^2+816\\theta+819)(2\\theta+3)^2+2^{14} x^{4}(\\theta+2)^2(2\\theta+3)(2\\theta+5)", "superseek": "-76 -92996", "discriminant": "4 1 -1088 296448 -278528 65536", "aesz": "~44", "n_sing_complex": "1", "inst_int": "", "c2h": null, "hash": "79f5f70bb79e740c1cd7e835ff99a64c", "dim_h": null, "inst": " -76 -2002 -92996 -5555506 -384650592 -87851559442/3 -2382567781700 -203597635374810 -18066930122752784 -1651905878787792656", "cleanlist": "True", "n_sing_real": "1", "sol_explicit": "", "n_sing_rational": "1", "n_sing": "2", "laurent": null, "discriminant_tex": "(1-544z+256z^2)^2", "discr_factors": "65536, (1/256-17/8*z+z^2)^2", "dm_basis": null, "q": "0 1 -164 7902 -175312 1770797 -88925688 -5015603694 -588849979456 -58902911500026", "yuk": "1 -76 -16092 -2510968 -355568476 -48081324076 -6325314806808 -817220749123176 -104241989667471196 -13170792059489290504", "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":"17/16-3/4*2^(1/2)","im":"0","approx_re":"0.00184","approx_im":"0.0","exponents":["0","-1/2","1","3/2"],"monodromy":[],"monodromy_dm":[]},{"re":"17/16+3/4*2^(1/2)","im":"0","approx_re":"2.12316","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","2","2","5/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, 164*(X+1/2)^4+156*(X+1/2)^2+21/4, 12974*(X+1)^4+45175/2*(X+1)^2+8835/4, 512500*(X+3/2)^4+461875*(X+3/2)^2+10840, 15625*(5*X+17/2)*(5*X+19/2)*(5*X+21/2)*(5*X+23/2)]", "text": "Sporadic YY-Operator", "degz": 4, "h3": null, "sol": "1 -109/2 13447/8 58747/16 -556301557/128 80417194613/256 -12564715223389/1024 180567391553131/2048 885175103898923123/32768 -153605363433546271247/65536", "n_discr_factors": "1", "c3": null, "operator": "4 4 0 0 0 0 1 109/2 238 402 328 164 151081/4 97071 200863/2 51896 12974 3644590 8304375 7380625 3075000 512500 2437640625/16 308593750 466796875/2 78125000 9765625", "new_number": "4.30", "id": 127, "operator_tex": "\\theta^4+x\\left(164\\theta^4+328\\theta^3+402\\theta^2+238\\theta+109/2\\right)+x^{2}\\left(12974\\theta^4+51896\\theta^3+200863/2\\theta^2+97071\\theta+151081/4\\right)+5 x^{3}\\left(102500\\theta^4+615000\\theta^3+1476125\\theta^2+1660875\\theta+728918\\right)+x^{4}15625/16(10\\theta+17)(10\\theta+19)(10\\theta+21)(10\\theta+23)", "superseek": "5 -420", "discriminant": "4 1 164 12974 512500 9765625", "aesz": "281", "n_sing_complex": "1", "inst_int": "", "c2h": null, "hash": "d24d5f19c8a8bf23ea9abd62ea9242b2", "dim_h": null, "inst": " 5 95/4 -420 2555 19930 -682645 6463805 40651055 -2112423895 50608382435/2", "cleanlist": "True", "n_sing_real": "1", "sol_explicit": "", "n_sing_rational": "1", "n_sing": "2", "laurent": null, "discriminant_tex": "(1+82z+3125z^2)^2", "discr_factors": "9765625, (1/3125+82/3125*z+z^2)^2", "dm_basis": null, "q": "0 1 20 500 4850 80620 700534 6933915 74473950 730700800", "yuk": "1 5 195 -11335 163715 2491255 -147462465 2217085120 20813503875 -1539957030790", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-41/3125","im":"-38/3125","approx_re":"-0.01312","approx_im":"-0.01216","exponents":["0","-1/2","1","3/2"],"monodromy":[],"monodromy_dm":[]},{"re":"-41/3125","im":"38/3125","approx_re":"-0.01312","approx_im":"0.01216","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":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["17/10","19/10","21/10","23/10"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -448*(X+1/2)^4-412*(X+1/2)^2-13, 91648*(X+1)^4+144448*(X+1)^2+12736, -82944*(X+3/2)^2*(112*(X+3/2)^2+89), 107495424*(X+2)^2*(2*X+3)*(2*X+5)]", "text": "YY-Operator equivalent to AESZ 150=$ A \\ast \\delta $", "degz": 4, "h3": null, "sol": "1 144 13320 432320 -127603800 -33213869568 -4622348436992 -369487705466880 6608967774500520 8246344074310742400", "n_discr_factors": "1", "c3": null, "operator": "4 4 0 0 0 0 1 -144 -636 -1084 -896 -448 248832 655488 694336 366592 91648 -63638784 -147557376 -132793344 -55738368 -9289728 6449725440 13329432576 10212065280 3439853568 429981696", "new_number": "4.3", "id": 137, "operator_tex": "\\theta^4-2^{2} x\\left(112\\theta^4+224\\theta^3+271\\theta^2+159\\theta+36\\right)+2^{6} x^{2}\\left(1432\\theta^4+5728\\theta^3+10849\\theta^2+10242\\theta+3888\\right)-2^{8} 3^{4} x^{3}(112\\theta^2+336\\theta+341)(2\\theta+3)^2+2^{14} 3^{8} x^{4}(\\theta+2)^2(2\\theta+3)(2\\theta+5)", "superseek": "-20 5924", "discriminant": "4 1 -448 91648 -9289728 429981696", "aesz": null, "n_sing_complex": "1", "inst_int": "", "c2h": null, "hash": "4163e7dfeb4b46f62bda072d071020fc", "dim_h": null, "inst": " -20 199 5924 82010 -1170848 -92226419 -2051645148 18334803698 2749155476112 79788570171384", "cleanlist": "True", "n_sing_real": "1", "sol_explicit": "", "n_sing_rational": "1", "n_sing": "2", "laurent": null, "discriminant_tex": "(1-224z+20736z^2)^2", "discr_factors": "429981696, (1/20736-7/648*z+z^2)^2", "dm_basis": null, "q": "0 1 -60 4062 -161456 7582509 -281492040 10960968978 -395542087104 14279572541190", "yuk": "1 -20 1572 159928 5250212 -146356020 -19920744984 -703714285784 9387424743588 2004134342245576", "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":"7/1296","im":"-1/324*2^(1/2)","approx_re":"0.0054012345679","approx_im":"-0.004365","exponents":["0","-1/2","1","3/2"],"monodromy":[],"monodromy_dm":[]},{"re":"7/1296","im":"1/324*2^(1/2)","approx_re":"0.0054012345679","approx_im":"0.004365","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, -768*(X+1/2)^4-688*(X+1/2)^2-20, 155648*(X+1)^4+33792*(X+1)^2+2560, -65536*(X+3/2)^2*(48*(X+3/2)^2+37), 4194304*(X+2)^2*(2*X+3)*(2*X+5)]", "text": "YY-Operator equivalent to $d \\ast e \\tilde A \\ast \\epsilon$", "degz": 4, "h3": null, "sol": "1 240 69840 22068480 7268490000 2454176533248 842484478035200 292657474471464960 102568871255144271120 36197101681461712992000", "n_discr_factors": "1", "c3": null, "operator": "4 4 0 0 0 0 1 -240 -1072 -1840 -1536 -768 192000 690176 967680 622592 155648 -21381120 -49741824 -44892160 -18874368 -3145728 251658240 520093696 398458880 134217728 16777216", "new_number": "4.4", "id": 148, "operator_tex": "\\theta^4-2^{4} x\\left(48\\theta^4+96\\theta^3+115\\theta^2+67\\theta+15\\right)+2^{9} x^{2}\\left(304\\theta^4+1216\\theta^3+1890\\theta^2+1348\\theta+375\\right)-2^{14} x^{3}(48\\theta^2+144\\theta+145)(2\\theta+3)^2+2^{22} x^{4}(\\theta+2)^2(2\\theta+3)(2\\theta+5)", "superseek": "-48 -32368", "discriminant": "4 1 -768 155648 -3145728 16777216", "aesz": null, "n_sing_complex": "1", "inst_int": "", "c2h": null, "hash": "a0903e578f379289d79849a566639775", "dim_h": null, "inst": " -48 -910 -32368 -1409193 -71439120 -3981781302 -237026585776 -14815169111887 -961469537214592 -64284018963892410", "cleanlist": "True", "n_sing_real": "1", "sol_explicit": "", "n_sing_rational": "1", "n_sing": "2", "laurent": null, "discriminant_tex": "(1-384z+4096z^2)^2", "discr_factors": "16777216, (1/4096-3/32*z+z^2)^2", "dm_basis": null, "q": "0 1 -112 3840 -105472 3238320 -112316928 1366733824 -143396667392 -4299522787176", "yuk": "1 -48 -7328 -873984 -90195680 -8929890048 -860065642496 -81300118921216 -7585366675481824 -700911292630311552", "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":"3/64-1/32*2^(1/2)","im":"0","approx_re":"0.002681","approx_im":"0.0","exponents":["0","-1/2","1","3/2"],"monodromy":[],"monodromy_dm":[]},{"re":"3/64+1/32*2^(1/2)","im":"0","approx_re":"0.091069","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","2","2","5/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -576*(X+1/2)^4-516*(X+1/2)^2-15, 69120*(X+1)^4-43200*(X+1)^2-4176, 82944*(X+3/2)^2*(48*(X+3/2)^2+37), 11943936*(X+2)^2*(2*X+3)*(2*X+5)]", "text": "YY-Operator equivalent to $d \\ast e \\tilde A\\st \\epsilon$", "degz": 4, "h3": null, "sol": "1 180 44676 11798640 3241596996 911927850768 260684645619888 75383026726593600 21988913736501928260 6457716149904879040080", "n_discr_factors": "1", "c3": null, "operator": "4 4 0 0 0 0 1 -180 -804 -1380 -1152 -576 21744 190080 371520 276480 69120 27060480 62954496 56816640 23887872 3981312 716636160 1481048064 1134673920 382205952 47775744", "new_number": "4.5", "id": 159, "operator_tex": "\\theta^4-2^{2} 3 x\\left(48\\theta^4+96\\theta^3+115\\theta^2+67\\theta+15\\right)+2^{4} 3^{2} x^{2}\\left(480\\theta^4+1920\\theta^3+2580\\theta^2+1320\\theta+151\\right)+2^{8} 3^{4} x^{3}(48\\theta^2+144\\theta+145)(2\\theta+3)^2+2^{14} 3^{6} x^{4}(\\theta+2)^2(2\\theta+3)(2\\theta+5)", "superseek": "-36 -62596/3", "discriminant": "4 1 -576 69120 3981312 47775744", "aesz": null, "n_sing_complex": "1", "inst_int": "", "c2h": null, "hash": "f5b4785eb6dd46eea771050179115d33", "dim_h": null, "inst": " -36 -756 -62596/3 -839088 -37432800 -5568714004/3 -97940149740 -5432676734880 -312731103096896 -18548876430404064", "cleanlist": "True", "n_sing_real": "1", "sol_explicit": "", "n_sing_rational": "1", "n_sing": "2", "laurent": null, "discriminant_tex": "(-1+288z+6912z^2)^2", "discr_factors": "47775744, (-1/6912+1/24*z+z^2)^2", "dm_basis": null, "q": "0 1 -84 558 79088 -2506251 -15199704 1128529682 -69405940032 -2821201832574", "yuk": "1 -36 -6084 -563400 -53707716 -4679100036 -400947977736 -33593471360856 -2781530541966276 -227980974158200584", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/48-1/72*3^(1/2)","im":"0","approx_re":"-0.04489","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":"-1/48+1/72*3^(1/2)","im":"0","approx_re":"0.003223","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","2","2","5/2"],"monodromy":[],"monodromy_dm":[]}]}, {"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, -1836*(X+1/2)^4-1614*(X+1/2)^2-177/4, 844182*(X+1)^4+23571/2*(X+1)^2+2835/4, -6561*(X+3/2)^2*(204*(X+3/2)^2+151), 59049/16*(2*X+3)*(2*X+5)*(6*X+11)*(6*X+13)]", "text": "YY-Operator equivalent to AESZ 53 =$B \\ast \\gamma \\tilde g \\ast h$", "degz": 4, "h3": null, "sol": "1 1125/2 3219615/8 5002535925/16 32404173968475/128 53796434927016771/256 181612568805465855915/1024 310214532003511738962645/2048 4276965511967012944282192275/32768 7422128578198801501629900794775/65536", "n_discr_factors": "1", "c3": null, "operator": "4 4 0 0 0 0 1 -1125/2 -2532 -4368 -3672 -1836 3426705/4 3400299 10153755/2 3376728 844182 -18009945/2 -21041127 -19059705 -8030664 -1338444 126660105/16 16415622 25213923/2 4251528 531441", "new_number": "4.8", "id": 180, "operator_tex": "\\theta^4-x\\left(1836\\theta^4+3672\\theta^3+4368\\theta^2+2532\\theta+1125/2\\right)+x^{2}\\left(844182\\theta^4+3376728\\theta^3+10153755/2\\theta^2+3400299\\theta+3426705/4\\right)-x^{3}6561/2(2\\theta+3)^2(102\\theta^2+306\\theta+305)+x^{4}59049/16(2\\theta+3)(2\\theta+5)(6\\theta+11)(6\\theta+13)", "superseek": "-135 -417685", "discriminant": "4 1 -1836 844182 -1338444 531441", "aesz": null, "n_sing_complex": "1", "inst_int": "", "c2h": null, "hash": "f5702d0b3fd53e9b80a42c76a335b648", "dim_h": null, "inst": " -135 -22815/4 -417685 -78983235/2 -4331084310 -2089942400125/4 -67374991615680 -18252405254369835/2 -1283816640590794765 -372187037770688515995/2", "cleanlist": "True", "n_sing_real": "1", "sol_explicit": "", "n_sing_rational": "1", "n_sing": "2", "laurent": null, "discriminant_tex": "(1-918z+729z^2)^2", "discr_factors": "531441, (1/729-34/27*z+z^2)^2", "dm_basis": null, "q": "0 1 -282 25119 -1071652 25356255 -1131124770 -48836642899 -12516628400052 -1895689264678308", "yuk": "1 -135 -45765 -11277630 -2527509285 -541385538885 -112856900930010 -23109622124178375 -4672615747646187045 -935902330990700661315", "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":"17/27-4/9*2^(1/2)","im":"0","approx_re":"0.00109","approx_im":"0.0","exponents":["0","-1/2","1","3/2"],"monodromy":[],"monodromy_dm":[]},{"re":"17/27+4/9*2^(1/2)","im":"0","approx_re":"1.258169","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":[]}]}, {"pols": "[X^4, -756*(X+1/2)^4-690*(X+1/2)^2-87/4, 260982*(X+1)^4+815427/2*(X+1)^2+142947/4, -531441*(X+3/2)^2*(84*(X+3/2)^2+65), 387420489/16*(2*X+3)*(2*X+5)*(6*X+11)*(6*X+13)]", "text": "YY-operator equivalent to AESZ 151=$B \\ast \\delta$", "degz": 4, "h3": null, "sol": "1 483/2 300015/8 32162403/16 -132658029189/128 -115627249605483/256 -108197209270259109/1024 -29009247623259989085/2048 15099017488656585094611/32768 59767409101296884745991233/65536", "n_discr_factors": "1", "c3": null, "operator": "4 4 0 0 0 0 1 -483/2 -1068 -1824 -1512 -756 2817729/4 1859355 3947211/2 1043928 260982 -607437063/2 -706285089 -637197759 -267846264 -44641044 831016948905/16 107702895942 165428548803/2 27894275208 3486784401", "new_number": "4.9", "id": 181, "operator_tex": "\\theta^4-x\\left(756\\theta^4+1512\\theta^3+1824\\theta^2+1068\\theta+483/2\\right)+x^{2}\\left(260982\\theta^4+1043928\\theta^3+3947211/2\\theta^2+1859355\\theta+2817729/4\\right)-x^{3}531441/2(2\\theta+3)^2(42\\theta^2+126\\theta+127)+x^{4}387420489/16(2\\theta+3)(2\\theta+5)(6\\theta+11)(6\\theta+13)", "superseek": "-33 29693", "discriminant": "4 1 -756 260982 -44641044 3486784401", "aesz": null, "n_sing_complex": "1", "inst_int": "", "c2h": null, "hash": "c444fb1a912bd488ee5947b8bc1e2c53", "dim_h": null, "inst": " -33 1095/2 29693 1241103/2 -16117818 -3980319827/2 -68679466944 2495037536247/2 260588508312917 11634569245959975", "cleanlist": "True", "n_sing_real": "1", "sol_explicit": "", "n_sing_rational": "1", "n_sing": "2", "laurent": null, "discriminant_tex": "(1-378z+59049z^2)^2", "discr_factors": "3486784401, (1/59049-14/2187*z+z^2)^2", "dm_basis": null, "q": "0 1 -102 11727 -799756 63350367 -3980423214 261400863725 -15763834861404 952935785688204", "yuk": "1 -33 4347 801678 39719643 -2014727283 -429873735258 -23557057161825 638729648998875 189969022560918171", "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":"7/2187","im":"-4/2187*2^(1/2)","approx_re":"0.00320073159579","approx_im":"-0.002587","exponents":["0","-1/2","1","3/2"],"monodromy":[],"monodromy_dm":[]},{"re":"7/2187","im":"4/2187*2^(1/2)","approx_re":"0.00320073159579","approx_im":"0.002587","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":[]}]}]}