{"count": 4, "status":"OK", "data":[{"pols": "[X^4, 1024*(X+1/2)^4+1076*(X+1/2)^2+43, 393216*(X+1)^4+545792*(X+1)^2+52864, 67108864*(X+3/2)^4+67895296*(X+3/2)^2+2011136, 4194304*(4*X+7)*(4*X+9)*(8*X+15)*(8*X+17)]", "text": "Sporadic YY-Operator.\nCan be reduced to 2.70, so not primary operator.", "degz": 4, "h3": null, "sol": "1 -376 117736 -34499456 9771980456 -2711775741248 742308658737408 -201222249192972288 54149431992142702248 -14489353573673061517248", "n_discr_factors": "1", "c3": null, "operator": "4 4 0 0 0 0 1 376 1588 2612 2048 1024 991872 2664448 2905088 1572864 393216 494514176 1109655552 973864960 402653184 67108864 67381493760 136096776192 102743670784 34359738368 4294967296", "new_number": "4.29", "id": 125, "operator_tex": "\\theta^4+2^{2} x\\left(256\\theta^4+512\\theta^3+653\\theta^2+397\\theta+94\\right)+2^{7} x^{2}\\left(3072\\theta^4+12288\\theta^3+22696\\theta^2+20816\\theta+7749\\right)+2^{12} x^{3}\\left(16384\\theta^4+98304\\theta^3+237760\\theta^2+270912\\theta+120731\\right)+2^{22} x^{4}(4\\theta+7)(4\\theta+9)(8\\theta+15)(8\\theta+17)", "superseek": "-20 -28820/3", "discriminant": "4 1 1024 393216 67108864 4294967296", "aesz": "255", "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "86173b300ea0aef95c3f2b60ce5ecf91", "dim_h": null, "inst": " -20 295 -28820/3 454190 -26517920 5315675335/3 -130052490460 10228035566870 -2544287074153040/3 73327006759699320", "cleanlist": "True", "n_sing_real": "2", "sol_explicit": "", "n_sing_rational": "2", "n_sing": "2", "laurent": null, "discriminant_tex": "(256z+1)^4", "discr_factors": "4294967296, (z+1/256)^4", "dm_basis": null, "q": "0 1 84 3294 104464 2008365 80464536 -1641557998 248229425472 -21222256770810", "yuk": "1 -20 2340 -259400 29070500 -3314740020 382728367080 -44608004227800 5236754239307940 -618261759019448120", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/256","im":"0","approx_re":"-0.00390625","approx_im":"0.0","exponents":["-3/8","3/8","-5/8","-11/8"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["7/4","15/8","17/8","9/4"],"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": "[25*X^4, 380*X^4+1720*X^3+1460*X^2+600*X+100, 11344*X^4+68032*X^3+117424*X^2+77280*X+18640, -107520*X^4-29184*X^3+843264*X^2+1013760*X+339200, -971776*X^4-6944768*X^3-11622400*X^2-7904256*X-1934336, 5386240*X^4+17539072*X^3+29487104*X^2+23527424*X+6926336, 10043392*X^4+25559040*X^3+15941632*X^2-3538944*X-4079616, -2883584-10223616*X-10485760*X^2-524288*X^3+2883584*X^4, -1048576*(X+1)^4]", "text": "This is operator \"8.45\" from ...", "degz": 8, "h3": null, "sol": "1 -4 -4 464 -4244 -64304 2188976 -10994624 -630978836 14385797456", "n_discr_factors": "3", "c3": null, "operator": "4 8 0 0 0 0 25 100 600 1460 1720 380 18640 77280 117424 68032 11344 339200 1013760 843264 -29184 -107520 -1934336 -7904256 -11622400 -6944768 -971776 6926336 23527424 29487104 17539072 5386240 -4079616 -3538944 15941632 25559040 10043392 -2883584 -10223616 -10485760 -524288 2883584 -1048576 -4194304 -6291456 -4194304 -1048576", "new_number": "8.45", "id": 491, "operator_tex": "5^{2} \\theta^4+2^{2} 5 x\\left(19\\theta^4+86\\theta^3+73\\theta^2+30\\theta+5\\right)+2^{4} x^{2}\\left(709\\theta^4+4252\\theta^3+7339\\theta^2+4830\\theta+1165\\right)-2^{8} x^{3}\\left(420\\theta^4+114\\theta^3-3294\\theta^2-3960\\theta-1325\\right)-2^{10} x^{4}\\left(949\\theta^4+6782\\theta^3+11350\\theta^2+7719\\theta+1889\\right)+2^{12} x^{5}\\left(1315\\theta^4+4282\\theta^3+7199\\theta^2+5744\\theta+1691\\right)+2^{14} x^{6}\\left(613\\theta^4+1560\\theta^3+973\\theta^2-216\\theta-249\\right)+2^{18} x^{7}\\left(11\\theta^4-2\\theta^3-40\\theta^2-39\\theta-11\\right)-2^{20} x^{8}\\left((\\theta+1)^4\\right)", "superseek": "-12/5 -20", "discriminant": "8 25 380 11344 -107520 -971776 5386240 10043392 2883584 -1048576", "aesz": null, "n_sing_complex": "2", "inst_int": "", "c2h": null, "hash": "52e4f6959f297529016ddef66a399c12", "dim_h": null, "inst": " -12/5 -83/5 -20 3941/20 -13872/5 -197789/5 173580 57625509/20 -244692056/5 -480447172", "cleanlist": "True", "n_sing_real": "5", "sol_explicit": "", "n_sing_rational": "2", "n_sing": "7", "laurent": null, "discriminant_tex": "-(8z+1)(128z^3-624z^2-20z-1)(-5+32z+32z^2)^2", "discr_factors": "-1048576, z^3-39/8*z^2-5/32*z-1/128, z+1/8, (-5/32+z+z^2)^2", "dm_basis": null, "q": "0 1 8 126 1280 12209 135664 1558810 14866944 131815364", "yuk": "1 -12/5 -676/5 -2712/5 12476 -1734012/5 -8545160 297689688/5 7376127532/5 -178380511536/5", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/2-1/8*26^(1/2)","im":"0","approx_re":"-1.137377","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":"-1/48*(61128+177*177^(1/2))^(1/3)-517/16/(61128+177*177^(1/2))^(1/3)+13/8","im":"-1/8*3^(1/2)*(1/6*(61128+177*177^(1/2))^(1/3)-517/2/(61128+177*177^(1/2))^(1/3))","approx_re":"-0.016083","approx_im":"-0.036516","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/48*(61128+177*177^(1/2))^(1/3)-517/16/(61128+177*177^(1/2))^(1/3)+13/8","im":"1/8*3^(1/2)*(1/6*(61128+177*177^(1/2))^(1/3)-517/2/(61128+177*177^(1/2))^(1/3))","approx_re":"-0.016083","approx_im":"0.036516","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":"-1/2+1/8*26^(1/2)","im":"0","approx_re":"0.137377","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"1/24*(61128+177*177^(1/2))^(1/3)+517/8/(61128+177*177^(1/2))^(1/3)+13/8","im":"0","approx_re":"4.907166","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","1","1","1"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -256*X^4-512*X^3-448*X^2-192*X-32, 256*(2*X+1)*(4*X+3)*(4*X+5)*(2*X+3)]", "text": "This is operator is equivalent to [2.33]. Transformation:.....", "degz": 2, "h3": null, "sol": "1 32 2160 181760 17021200 1698181632 176677611264 18937576120320 2075622689471760 231465995770380800", "n_discr_factors": "1", "c3": null, "operator": "4 2 0 0 0 0 1 -32 -192 -448 -512 -256 11520 55296 93184 65536 16384", "new_number": "2.71", "id": 614, "operator_tex": "\\theta^4-2^{5} x(2\\theta+1)^2(2\\theta^2+2\\theta+1)+2^{8} x^{2}(2\\theta+1)(4\\theta+3)(4\\theta+5)(2\\theta+3)", "superseek": "0 0", "discriminant": "2 1 -256 16384", "aesz": null, "n_sing_complex": "0", "inst_int": null, "c2h": null, "hash": "757b011780c5986bd45a5bf434c76c28", "dim_h": null, "inst": " 0 -20 0 -865 0 -67460 0 -6821070 0 -800369820", "cleanlist": "False", "n_sing_real": "2", "sol_explicit": null, "n_sing_rational": "2", "n_sing": "2", "laurent": null, "discriminant_tex": "(-1+128z)^2", "discr_factors": "16384, (-1/128+z)^2", "dm_basis": null, "q": "0 1 -64 2912 -110592 3772720 -119642112 3598125568 -103922663424 2907171436184", "yuk": "1 0 -160 0 -55520 0 -14571520 0 -3492443360 0", "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":"1/128","im":"0","approx_re":"0.0078125","approx_im":"0.0","exponents":["0","1/4","3/4","1"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1/2","3/4","5/4","3/2"],"monodromy":[],"monodromy_dm":[]}]}]}