{"count": 2, "status":"OK", "data":[{"pols": "[X^4, -3072*X^4-5632*X^3-6272*X^2-3456*X-784, 5373952*X^4+11927552*X^3+21823488*X^2+20348928*X+7278592, -6996099072*X^4-15435038720*X^3-25694306304*X^2-29444014080*X-13147045888, 6979321856000*X^4+16492674416640*X^3+24829205938176*X^2+21264383082496*X+8229962645504, -5455776697024512*X^4-13521793998389248*X^3-23943514962264064*X^2-16901142986358784*X-4160826877411328, 3410350817826308096*X^4+8879409615314354176*X^3+17519565500424650752*X^2+14384637947309719552*X+4272156827770159104, -1668925935512448925696*X^4-5067666473499395883008*X^3-9953135320473890979840*X^2-9330737851971288432640*X-3496202937522871861248, 608594980479825526915072*X^4+2347901585701751729684480*X^3+4756972574751924332527616*X^2+4828914876639391583830016*X+2016063106559790605664256, -157349251209216578520350720*X^4-777868207058287959600005120*X^3-1755416958478235997415931904*X^2-1954020803281801796523130880*X-882527654234886471648542720, 27505480247872042982914916352*X^4+169288300372275752592455237632*X^3+437843917644747935978383998976*X^2+542314451272565730739792904192*X+266575396779943420797760045056, -3055236016956318518451038584832*X^4-22639447438451034467355183808512*X^3-66915610883531945379397260804096*X^2-92068076601732301804797666787328*X-49245564247782248680555886411776, 192682891234690869027498887217152*X^4+1673298792301262809975648231096320*X^3+5592874448206948119403454542118912*X^2+8490723720328680531224918069608448*X+4920385804785872421909453491666944, -324518553658426726783156020576256*(2*X+5)^4]", "text": "This is operator \"13.2\" from ...", "degz": 13, "h3": null, "sol": "1 784 486672 279216384 154637278480 84104418128128 45287388189122816 24247515487328931840 12941812444649337986320 6897257090155353175236864", "n_discr_factors": "4", "c3": null, "operator": "4 13 0 0 0 0 1 -784 -3456 -6272 -5632 -3072 7278592 20348928 21823488 11927552 5373952 -13147045888 -29444014080 -25694306304 -15435038720 -6996099072 8229962645504 21264383082496 24829205938176 16492674416640 6979321856000 -4160826877411328 -16901142986358784 -23943514962264064 -13521793998389248 -5455776697024512 4272156827770159104 14384637947309719552 17519565500424650752 8879409615314354176 3410350817826308096 -3496202937522871861248 -9330737851971288432640 -9953135320473890979840 -5067666473499395883008 -1668925935512448925696 2016063106559790605664256 4828914876639391583830016 4756972574751924332527616 2347901585701751729684480 608594980479825526915072 -882527654234886471648542720 -1954020803281801796523130880 -1755416958478235997415931904 -777868207058287959600005120 -157349251209216578520350720 266575396779943420797760045056 542314451272565730739792904192 437843917644747935978383998976 169288300372275752592455237632 27505480247872042982914916352 -49245564247782248680555886411776 -92068076601732301804797666787328 -66915610883531945379397260804096 -22639447438451034467355183808512 -3055236016956318518451038584832 4920385804785872421909453491666944 8490723720328680531224918069608448 5592874448206948119403454542118912 1673298792301262809975648231096320 192682891234690869027498887217152 -202824096036516704239472512860160000 -324518553658426726783156020576256000 -194711132195056036069893612345753600 -51922968585348276285304963292200960 -5192296858534827628530496329220096", "new_number": "13.2", "id": 370, "operator_tex": "\\theta^4-2^{4} x\\left(192\\theta^4+352\\theta^3+392\\theta^2+216\\theta+49\\right)+2^{12} x^{2}\\left(1312\\theta^4+2912\\theta^3+5328\\theta^2+4968\\theta+1777\\right)-2^{21} x^{3}\\left(3336\\theta^4+7360\\theta^3+12252\\theta^2+14040\\theta+6269\\right)+2^{28} x^{4}\\left(26000\\theta^4+61440\\theta^3+92496\\theta^2+79216\\theta+30659\\right)-2^{38} x^{5}\\left(19848\\theta^4+49192\\theta^3+87106\\theta^2+61486\\theta+15137\\right)+2^{46} x^{6}\\left(48464\\theta^4+126184\\theta^3+248968\\theta^2+204418\\theta+60711\\right)-2^{52} x^{7}\\left(370576\\theta^4+1125248\\theta^3+2210040\\theta^2+2071840\\theta+776313\\right)+2^{64} x^{8}\\left(32992\\theta^4+127280\\theta^3+257876\\theta^2+261776\\theta+109291\\right)-2^{71} x^{9}\\left(66640\\theta^4+329440\\theta^3+743448\\theta^2+827560\\theta+373765\\right)+2^{81} x^{10}\\left(11376\\theta^4+70016\\theta^3+181088\\theta^2+224296\\theta+110253\\right)-2^{88} x^{11}\\left(9872\\theta^4+73152\\theta^3+216216\\theta^2+297488\\theta+159121\\right)+2^{99} x^{12}\\left(304\\theta^4+2640\\theta^3+8824\\theta^2+13396\\theta+7763\\right)-2^{108} x^{13}\\left((2\\theta+5)^4\\right)", "superseek": "288 -8252768", "discriminant": "13 1 -3072 5373952 -6996099072 6979321856000 -5455776697024512 3410350817826308096 -1668925935512448925696 608594980479825526915072 -157349251209216578520350720 27505480247872042982914916352 -3055236016956318518451038584832 192682891234690869027498887217152 -5192296858534827628530496329220096", "aesz": null, "n_sing_complex": "2", "inst_int": "", "c2h": null, "hash": "ad47c122958add1c452a9858793ef177", "dim_h": null, "inst": " 288 59200 -8252768 -1223488576 585571467872 7905205372480 -47910168596100064 6257751239427259328 3753960547531267469056 -1241265050509255966110784", "cleanlist": "True", "n_sing_real": "6", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "8", "laurent": null, "discriminant_tex": "-(1-768z+65536z^2)(512z-1)^2(134217728z^3-655360z^2+256z-1)^2(256z-1)^3", "discr_factors": "-5192296858534827628530496329220096, (z-1/512)^2, (z^3-5/1024*z^2+1/524288*z-1/134217728)^2, (z-1/256)^3, 1/65536-3/256*z+z^2", "dm_basis": null, "q": "0 1 -320 51296 3893248 -3585597904 128640522240 345118236566016 -68798552075272192 -30088208380065850728", "yuk": "1 288 473888 -222824448 -78302794976 73196433484288 1707524138104832 -16433187828462321664 3203968634508453980960 2736637239150293762117376", "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":"-1/6144*(188+3*3165^(1/2))^(1/3)-19/6144/(188+3*3165^(1/2))^(1/3)+5/3072","im":"-1/512*3^(1/2)*(1/12*(188+3*3165^(1/2))^(1/3)-19/12/(188+3*3165^(1/2))^(1/3))","approx_re":"3.7e-05","approx_im":"-0.001244","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/6144*(188+3*3165^(1/2))^(1/3)-19/6144/(188+3*3165^(1/2))^(1/3)+5/3072","im":"1/512*3^(1/2)*(1/12*(188+3*3165^(1/2))^(1/3)-19/12/(188+3*3165^(1/2))^(1/3))","approx_re":"3.7e-05","approx_im":"0.001244","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"3/512-1/512*5^(1/2)","im":"0","approx_re":"0.001492","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/512","im":"0","approx_re":"0.001953125","approx_im":"0.0","exponents":["0","0","-1","1"],"monodromy":[],"monodromy_dm":[]},{"re":"1/256","im":"0","approx_re":"0.00390625","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"1/3072*(188+3*3165^(1/2))^(1/3)+19/3072/(188+3*3165^(1/2))^(1/3)+5/3072","im":"0","approx_re":"0.004808","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"3/512+1/512*5^(1/2)","im":"0","approx_re":"0.010227","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":["5/2","5/2","5/2","5/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -152*X^4-200*X^3-212*X^2-112*X-24, 9872*X^4+25568*X^3+37776*X^2+28992*X+9376, -364032*X^4-1399808*X^3-2642176*X^2-2539008*X-1014016, 8529920*X^4+43130880*X^3+98770944*X^2+112343040*X+52101120, -135135232*X^4-830013440*X^3-2213789696*X^2-2879913984*X-1501495296, 1517879296*X^4+10569777152*X^3+31405178880*X^2+45223772160*X+25817448448, -12704546816*X^4-93967089664*X^3-293598134272*X^2-446554963968*X-269278511104, 83248545792*X^4+626159255552*X^3+1939722993664*X^2+2903272062976*X+1730242674688, -436207616000*X^4-3331284008960*X^3-10178669838336*X^2-14365726081024*X-7823954018304, 1791001362432*X^4+13958643712000*X^3+44105019162624*X^2+63200443760640*X+33853200662528, -5634997092352*X^4-43843026157568*X^3-140393890971648*X^2-210762635149312*X-122007135977472, 13194139533312*X^4+107752139522048*X^3+340298848796672*X^2+490931941801984*X+272060408397824, -1099511627776*(2*X+5)^4]", "text": "This is operator \"13.3\" from ...", "degz": 13, "h3": null, "sol": "1 24 464 8832 178960 4010368 100357376 2772019200 82738408720 2613822935424", "n_discr_factors": "4", "c3": null, "operator": "4 13 0 0 0 0 1 -24 -112 -212 -200 -152 9376 28992 37776 25568 9872 -1014016 -2539008 -2642176 -1399808 -364032 52101120 112343040 98770944 43130880 8529920 -1501495296 -2879913984 -2213789696 -830013440 -135135232 25817448448 45223772160 31405178880 10569777152 1517879296 -269278511104 -446554963968 -293598134272 -93967089664 -12704546816 1730242674688 2903272062976 1939722993664 626159255552 83248545792 -7823954018304 -14365726081024 -10178669838336 -3331284008960 -436207616000 33853200662528 63200443760640 44105019162624 13958643712000 1791001362432 -122007135977472 -210762635149312 -140393890971648 -43843026157568 -5634997092352 272060408397824 490931941801984 340298848796672 107752139522048 13194139533312 -687194767360000 -1099511627776000 -659706976665600 -175921860444160 -17592186044416", "new_number": "13.3", "id": 371, "operator_tex": "\\theta^4-2^{2} x\\left(38\\theta^4+50\\theta^3+53\\theta^2+28\\theta+6\\right)+2^{4} x^{2}\\left(617\\theta^4+1598\\theta^3+2361\\theta^2+1812\\theta+586\\right)-2^{8} x^{3}\\left(1422\\theta^4+5468\\theta^3+10321\\theta^2+9918\\theta+3961\\right)+2^{11} x^{4}\\left(4165\\theta^4+21060\\theta^3+48228\\theta^2+54855\\theta+25440\\right)-2^{14} x^{5}\\left(8248\\theta^4+50660\\theta^3+135119\\theta^2+175776\\theta+91644\\right)+2^{16} x^{6}\\left(23161\\theta^4+161282\\theta^3+479205\\theta^2+690060\\theta+393943\\right)-2^{20} x^{7}\\left(12116\\theta^4+89614\\theta^3+279997\\theta^2+425868\\theta+256804\\right)+2^{23} x^{8}\\left(9924\\theta^4+74644\\theta^3+231233\\theta^2+346097\\theta+206261\\right)-2^{27} x^{9}\\left(3250\\theta^4+24820\\theta^3+75837\\theta^2+107033\\theta+58293\\right)+2^{28} x^{10}\\left(6672\\theta^4+52000\\theta^3+164304\\theta^2+235440\\theta+126113\\right)-2^{32} x^{11}\\left(1312\\theta^4+10208\\theta^3+32688\\theta^2+49072\\theta+28407\\right)+2^{36} x^{12}\\left(192\\theta^4+1568\\theta^3+4952\\theta^2+7144\\theta+3959\\right)-2^{40} x^{13}\\left((2\\theta+5)^4\\right)", "superseek": "4 52", "discriminant": "13 1 -152 9872 -364032 8529920 -135135232 1517879296 -12704546816 83248545792 -436207616000 1791001362432 -5634997092352 13194139533312 -17592186044416", "aesz": null, "n_sing_complex": "2", "inst_int": "", "c2h": null, "hash": "9127ce057848ca38f220a7bb67e245a2", "dim_h": null, "inst": " 4 7/2 52 500 2796 108891/2 523876 8014175 112614496 3281174301/2", "cleanlist": "True", "n_sing_real": "6", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "8", "laurent": null, "discriminant_tex": "-(1-48z+256z^2)(8z-1)^2(512z^3-32z^2+20z-1)^2(16z-1)^3", "discr_factors": "-17592186044416, (z^3-1/16*z^2+5/128*z-1/512)^2, 1/256-3/16*z+z^2, (z-1/8)^2, (z-1/16)^3", "dm_basis": null, "q": "0 1 -16 192 -2304 24240 -254976 2316288 -22216704 157621400", "yuk": "1 4 32 1408 32032 349504 11761664 179689472 4103289632 82095968992", "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":"-1/96*(64+3*3165^(1/2))^(1/3)+29/96/(64+3*3165^(1/2))^(1/3)+1/48","im":"-1/8*3^(1/2)*(1/12*(64+3*3165^(1/2))^(1/3)+29/12/(64+3*3165^(1/2))^(1/3))","approx_re":"0.005863","approx_im":"-0.196043","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/96*(64+3*3165^(1/2))^(1/3)+29/96/(64+3*3165^(1/2))^(1/3)+1/48","im":"1/8*3^(1/2)*(1/12*(64+3*3165^(1/2))^(1/3)+29/12/(64+3*3165^(1/2))^(1/3))","approx_re":"0.005863","approx_im":"0.196043","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"3/32-1/32*5^(1/2)","im":"0","approx_re":"0.023873","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/48*(64+3*3165^(1/2))^(1/3)-29/48/(64+3*3165^(1/2))^(1/3)+1/48","im":"0","approx_re":"0.050774","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","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"1/8","im":"0","approx_re":"0.125","approx_im":"0.0","exponents":["0","0","-1","1"],"monodromy":[],"monodromy_dm":[]},{"re":"3/32+1/32*5^(1/2)","im":"0","approx_re":"0.163627","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":["5/2","5/2","5/2","5/2"],"monodromy":[],"monodromy_dm":[]}]}]}