{"count": 6, "status":"OK", "data":[{"pols": "[4*X^4, 36+132*X+154*X^2+44*X^3+148*X^4, 5778+15750*X+20115*X^2+10854*X^3+873*X^4, 303750+695628*X+594621*X^2+316710*X^3+10206*X^4, 15910425+27497151*X+19225188*X^2+4430862*X^3+606528*X^4, 517190508+761646807*X+411072894*X^2+82301184*X^3+2899962*X^4, 9761153994+11368644921*X+4347718821*X^2+302685174*X^3-60938568*X^4, 75991811472+44252029188*X-12655735974*X^2-12475046034*X^3-1522047024*X^4, -475924547376-1055849972688*X-698213031651*X^2-169422327918*X^3-8948934999*X^4, -12571020027072-14198186080872*X-5253680111166*X^2-540839002644*X^3+39000329226*X^4, 9298091736*(X+3)*(86*X^3+414*X^2+181*X-936), 251048476872*(X+4)*(X+3)*(21*X^2+137*X+224), 4518872583696*(X+3)*(X+5)*(X+4)^2]", "text": "This is operator \"12.14\" from ...", "degz": 12, "h3": null, "sol": "1 -9 -18 747 -5751 7452 706383 -5781699 -46465002 48980637", "n_discr_factors": "5", "c3": null, "operator": "4 12 0 0 0 0 4 36 132 154 44 148 5778 15750 20115 10854 873 303750 695628 594621 316710 10206 15910425 27497151 19225188 4430862 606528 517190508 761646807 411072894 82301184 2899962 9761153994 11368644921 4347718821 302685174 -60938568 75991811472 44252029188 -12655735974 -12475046034 -1522047024 -475924547376 -1055849972688 -698213031651 -169422327918 -8948934999 -12571020027072 -14198186080872 -5253680111166 -540839002644 39000329226 -26109041594688 -3654150052248 13231184540328 6248317646592 799635889296 674818305831936 806367707712864 360254564311320 71297767431648 5272018014312 1084529420087040 1120680400756608 429292895451120 72301961339136 4518872583696", "new_number": "12.14", "id": 351, "operator_tex": "2^{2} \\theta^4+2 x\\left(74\\theta^4+22\\theta^3+77\\theta^2+66\\theta+18\\right)+3^{2} x^{2}\\left(97\\theta^4+1206\\theta^3+2235\\theta^2+1750\\theta+642\\right)+3^{4} x^{3}\\left(126\\theta^4+3910\\theta^3+7341\\theta^2+8588\\theta+3750\\right)+3^{6} x^{4}\\left(832\\theta^4+6078\\theta^3+26372\\theta^2+37719\\theta+21825\\right)+3^{8} x^{5}\\left(442\\theta^4+12544\\theta^3+62654\\theta^2+116087\\theta+78828\\right)-3^{10} x^{6}\\left(1032\\theta^4-5126\\theta^3-73629\\theta^2-192529\\theta-165306\\right)-2 3^{12} x^{7}\\left(1432\\theta^4+11737\\theta^3+11907\\theta^2-41634\\theta-71496\\right)-3^{14} x^{8}\\left(1871\\theta^4+35422\\theta^3+145979\\theta^2+220752\\theta+99504\\right)+2 3^{17} x^{9}\\left(151\\theta^4-2094\\theta^3-20341\\theta^2-54972\\theta-48672\\right)+2^{3} 3^{19} x^{10}(\\theta+3)(86\\theta^3+414\\theta^2+181\\theta-936)+2^{3} 3^{22} x^{11}(\\theta+4)(\\theta+3)(21\\theta^2+137\\theta+224)+2^{4} 3^{24} x^{12}(\\theta+3)(\\theta+5)(\\theta+4)^2", "superseek": "7/2 237/2", "discriminant": "12 4 148 873 10206 606528 2899962 -60938568 -1522047024 -8948934999 39000329226 799635889296 5272018014312 4518872583696", "aesz": null, "n_sing_complex": "4", "inst_int": "", "c2h": null, "hash": "614b95fc4275078df0800c7546870e7f", "dim_h": null, "inst": " 7/2 -193/8 237/2 -6119/4 16307 -1535413/8 5120029/2 -140398331/4 489886511 -28867222625/4", "cleanlist": "True", "n_sing_real": "5", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "9", "laurent": null, "discriminant_tex": "(9z+1)(z+1)(324z^2-18z+1)(81z^2+9z+1)^2(486z^2-27z-2)^2", "discr_factors": "4518872583696, z+1/9, z^2-1/18*z+1/324, (z^2-1/18*z-1/243)^2, (z^2+1/9*z+1/81)^2, z+1", "dm_basis": null, "q": "0 1 -3 57 -301 7197 -82503 1304292 -19182963 306007974", "yuk": "1 7/2 -379/2 3203 -196187/2 4076757/2 -41453141 878084977 -35942168923/2 357127269722", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1","im":"0","approx_re":"-1.0","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/9","im":"0","approx_re":"-0.111111111111","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/18","im":"-1/18*3^(1/2)","approx_re":"-0.0555555555556","approx_im":"-0.096225","exponents":["0","0","-1","1"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/18","im":"1/18*3^(1/2)","approx_re":"-0.0555555555556","approx_im":"0.096225","exponents":["0","0","-1","1"],"monodromy":[],"monodromy_dm":[]},{"re":"1/36-1/108*57^(1/2)","im":"0","approx_re":"-0.042128","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"1/36","im":"-1/36*3^(1/2)","approx_re":"0.0277777777778","approx_im":"-0.048113","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/36","im":"1/36*3^(1/2)","approx_re":"0.0277777777778","approx_im":"0.048113","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/36+1/108*57^(1/2)","im":"0","approx_re":"0.097684","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["3","4","4","5"],"monodromy":[],"monodromy_dm":[]}]}, {"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":[]}]}, {"pols": "[X^4, -13*X^4-14*X^3-16*X^2-9*X-2, 33*X^4-88*X^3-265*X^2-324*X-148, 217*X^4+2362*X^3+6403*X^2+8178*X+4160, -1354*X^4-8268*X^3-16178*X^2-12420*X-720, 1812*X^4-15192*X^3-139320*X^2-347460*X-301320, 7580*X^4+149208*X^3+707964*X^2+1423392*X+1075344, -38540*X^4-356680*X^3-743540*X^2+429576*X+2089856, 47256*X^4-85088*X^3-3329000*X^2-13330608*X-16415360, 94304*X^4+2569088*X^3+16637888*X^2+42511200*X+38564800, -391808*X^4-5430528*X^3-25443520*X^2-46255680*X-22811520, 433728*X^4+2572416*X^3-8937408*X^2-87598848*X-152957952, 1152*(X+4)*(371*X^3+8580*X^2+53325*X+101564), -27648*(X+4)*(X+5)*(51*X^2+519*X+1330), 829440*(X+4)*(X+5)^2*(X+6)]", "text": "This is operator \"14.1\" from ...", "degz": 14, "h3": null, "sol": "1 2 16 48 264 1008 5008 21824 106792 500496", "n_discr_factors": "9", "c3": null, "operator": "4 14 0 0 0 0 1 -2 -9 -16 -14 -13 -148 -324 -265 -88 33 4160 8178 6403 2362 217 -720 -12420 -16178 -8268 -1354 -301320 -347460 -139320 -15192 1812 1075344 1423392 707964 149208 7580 2089856 429576 -743540 -356680 -38540 -16415360 -13330608 -3329000 -85088 47256 38564800 42511200 16637888 2569088 94304 -22811520 -46255680 -25443520 -5430528 -391808 -152957952 -87598848 -8937408 2572416 433728 468006912 362723328 100967040 11593728 427392 -735436800 -617932800 -194116608 -27039744 -1410048 497664000 406425600 123586560 16588800 829440", "new_number": "14.1", "id": 380, "operator_tex": "\\theta^4-x\\left(13\\theta^4+14\\theta^3+16\\theta^2+9\\theta+2\\right)+x^{2}\\left(33\\theta^4-88\\theta^3-265\\theta^2-324\\theta-148\\right)+x^{3}\\left(217\\theta^4+2362\\theta^3+6403\\theta^2+8178\\theta+4160\\right)-2 x^{4}\\left(677\\theta^4+4134\\theta^3+8089\\theta^2+6210\\theta+360\\right)+2^{2} 3 x^{5}\\left(151\\theta^4-1266\\theta^3-11610\\theta^2-28955\\theta-25110\\right)+2^{2} x^{6}\\left(1895\\theta^4+37302\\theta^3+176991\\theta^2+355848\\theta+268836\\right)-2^{2} x^{7}\\left(9635\\theta^4+89170\\theta^3+185885\\theta^2-107394\\theta-522464\\right)+2^{3} x^{8}\\left(5907\\theta^4-10636\\theta^3-416125\\theta^2-1666326\\theta-2051920\\right)+2^{5} x^{9}\\left(2947\\theta^4+80284\\theta^3+519934\\theta^2+1328475\\theta+1205150\\right)-2^{6} x^{10}\\left(6122\\theta^4+84852\\theta^3+397555\\theta^2+722745\\theta+356430\\right)+2^{6} 3 x^{11}\\left(2259\\theta^4+13398\\theta^3-46549\\theta^2-456244\\theta-796656\\right)+2^{7} 3^{2} x^{12}(\\theta+4)(371\\theta^3+8580\\theta^2+53325\\theta+101564)-2^{10} 3^{3} x^{13}(\\theta+4)(\\theta+5)(51\\theta^2+519\\theta+1330)+2^{11} 3^{4} 5 x^{14}(\\theta+4)(\\theta+5)^2(\\theta+6)", "superseek": "0 0", "discriminant": "14 1 -13 33 217 -1354 1812 7580 -38540 47256 94304 -391808 433728 427392 -1410048 829440", "aesz": null, "n_sing_complex": "2", "inst_int": "", "c2h": null, "hash": "a8cf56492aecc07971e82c9104785180", "dim_h": null, "inst": " 0 1/4 0 -1/2 0 28/9 0 -14 0 2223/20", "cleanlist": "True", "n_sing_real": "9", "sol_explicit": "", "n_sing_rational": "9", "n_sing": "11", "laurent": null, "discriminant_tex": "(z-1)(6z-1)(4z-1)(3z+1)(4z+1)(5z-1)(2z+1)^2(2z-1)^2(6z^2-2z+1)^2", "discr_factors": "829440, z+1/4, z-1/4, z-1/6, (z-1/2)^2, (z^2-1/3*z+1/6)^2, z-1, (z+1/2)^2, z-1/5, z+1/3", "dm_basis": null, "q": "0 1 -1 -5 11 26 -99 -146 871 717", "yuk": "1 0 2 0 -30 0 674 0 -7198 0", "gv2": null, "gv0": null, "gv1": null, 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{"pols": "[3725290298461914062500*X^4, -271201133728027343750000*X^4-820010900497436523437500*X^3-1034066081047058105468750*X^2-624060630798339843750000*X-147521495819091796875000, 57775586843490600585937500+138381493091583251953125000*X+132307295501232147216796875*X^2+59465995430946350097656250*X^3+7219769060611724853515625*X^4, -32552460730075836181640625*X^4-1560341991662979125976562500*X^3-6244380227923393249511718750*X^2-9688938114166259765625000000*X-5670173034667968750000000000, 249175568417215347290039062500+307008565436439514160156250000*X+126307810587580204010009765625*X^2+8702320760693550109863281250*X^3-2747233932173252105712890625*X^4, 70193999073301219940185546875*X^4+439797021564710426330566406250*X^3-410272161013678264617919921875*X^2-4252484563881255340576171875000*X-5409649464893723487854003906250, 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-103462072908712895032500011677734375*X^4-1693658630880384697425038088803906250*X^3-10394123460458412842816913824670703125*X^2-28257771400427489792633420229077343750*X-28592640097610067306386243705953125000, 52955538090187500*(X+5)*(6822457746356194860*X^3+105594221828043028718*X^2+542119266560031019991*X+926555809752183305931), -19063993712467500*(X+5)*(X+6)*(15337273149232082245*X^2+289665397258229241319*X+1092956642701689252996), -835757730647052465218400*(X+5)*(X+6)*(X+7)*(4612345059685*X+22748051972446), 12088617153564748846415097038724329472*(X+5)*(X+6)*(X+7)*(X+8)]", "text": "This is operator \"15.1\" from ...", "degz": 15, "h3": null, "sol": "1 198/5 119412/125 59226669/3125 27037427724/78125 59328379285218/9765625 5107498908802263/48828125 2186436079800455202/1220703125 937198783642987430694/30517578125 400944225491063258547159/762939453125", "n_discr_factors": "7", "c3": null, "operator": "4 15 0 0 0 0 3725290298461914062500 -147521495819091796875000 -624060630798339843750000 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5^{22} x^{4}\\left(526873995\\theta^4-1668961078\\theta^3-24223747379\\theta^2-58879161136\\theta-47787749580\\right)+3^{8} 5^{20} x^{5}\\left(112183726219\\theta^4+702881575498\\theta^3-655695079267\\theta^2-6796301255992\\theta-8645676874410\\right)-3^{10} 5^{18} x^{6}\\left(2728176480430\\theta^4+50098509218682\\theta^3+140700841079393\\theta^2+45277394357802\\theta-187513884611415\\right)-3^{12} 5^{16} x^{7}\\left(34762414267630\\theta^4-1334642903889766\\theta^3-8286651788306957\\theta^2-15990739837380612\\theta-8287376192342010\\right)+3^{15} 5^{14} x^{8}\\left(1629579653924345\\theta^4+954388085050194\\theta^3-55618872802839705\\theta^2-207693840516161754\\theta-214442659712419520\\right)-3^{17} 5^{12} x^{9}\\left(65369060331963795\\theta^4+512595644471686042\\theta^3+992825405643594911\\theta^2-1201538784520100286\\theta-4009291166039086080\\right)+3^{20} 5^{10} x^{10}\\left(534261782717034863\\theta^4+6643553399420804992\\theta^3+30007608488826895812\\theta^2+55818610344670779952\\theta+32009410686899411085\\right)-3^{22} 5^{8} x^{11}\\left(8440215529571954655\\theta^4+138165063547130806682\\theta^3+847930452008770373373\\theta^2+2305208800672476166582\\theta+2332526675705017692360\\right)+2^{2} 3^{25} 5^{6} x^{12}(\\theta+5)(6822457746356194860\\theta^3+105594221828043028718\\theta^2+542119266560031019991\\theta+926555809752183305931)-2^{2} 3^{27} 5^{4} x^{13}(\\theta+5)(\\theta+6)(15337273149232082245\\theta^2+289665397258229241319\\theta+1092956642701689252996)-2^{5} 3^{30} 5^{2} 7 163 4447 x^{14}(\\theta+5)(\\theta+6)(\\theta+7)(4612345059685\\theta+22748051972446)+2^{12} 3^{33} 7^{2} 17 163^{2} 1213 4447^{2} x^{15}(\\theta+5)(\\theta+6)(\\theta+7)(\\theta+8)", "superseek": "7/2 237/2", "discriminant": "15 3725290298461914062500 -271201133728027343750000 7219769060611724853515625 -32552460730075836181640625 -2747233932173252105712890625 70193999073301219940185546875 -614532825442928581237792968750 -2818934967163628361511230468750 142716594868485177251678466796875 -2060979274029941063573873291015625 18191949707306724192202852177734375 -103462072908712895032500011677734375 361286921055860246443634003936250000 -292389678883357028744612841889537500 -3854803040043479356357087534560204000 12088617153564748846415097038724329472", "aesz": null, "n_sing_complex": "4", "inst_int": "", "c2h": null, "hash": "df146e1b37d7a257f905c6707b923620", "dim_h": null, "inst": " 7/2 -193/8 237/2 -6119/4 16307 -1535413/8 5120029/2 -140398331/4 489886511 -28867222625/4", "cleanlist": "True", "n_sing_real": "7", "sol_explicit": "", "n_sing_rational": "5", "n_sing": "11", "laurent": null, "discriminant_tex": "(128z-25)(72z+25)(153z-25)(294759z^2-18900z+625)(378z-25)^2(39609z^2-2025z+625)^2(360207z^2-1575z-1250)^2", "discr_factors": "12088617153564748846415097038724329472, (z^2-175/40023*z-1250/360207)^2, (z^2-25/489*z+625/39609)^2, z^2-700/10917*z+625/294759, (z-25/378)^2, z-25/128, z+25/72, z-25/153", "dm_basis": null, "q": "0 1 -228/25 81984/625 -25313602/15625 9587396256/390625 -3604099625118/9765625 1398183577941279/244140625 -554924800284557862/6103515625 224200628657466750036/152587890625", "yuk": "1 7/2 -379/2 3203 -196187/2 4076757/2 -41453141 878084977 -35942168923/2 357127269722", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-25/72","im":"0","approx_re":"-0.347222222222","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"175/80046-625/80046*57^(1/2)","im":"0","approx_re":"-0.056763","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"25/978","im":"-625/8802*3^(1/2)","approx_re":"0.0255623721881","approx_im":"-0.122987","exponents":["0","0","-1","1"],"monodromy":[],"monodromy_dm":[]},{"re":"25/978","im":"625/8802*3^(1/2)","approx_re":"0.0255623721881","approx_im":"0.122987","exponents":["0","0","-1","1"],"monodromy":[],"monodromy_dm":[]},{"re":"350/10917","im":"-625/32751*3^(1/2)","approx_re":"0.0320600897683","approx_im":"-0.033053","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"350/10917","im":"625/32751*3^(1/2)","approx_re":"0.0320600897683","approx_im":"0.033053","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"175/80046+625/80046*57^(1/2)","im":"0","approx_re":"0.061135","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"25/378","im":"0","approx_re":"0.0661375661376","approx_im":"0.0","exponents":["0","-1","1","-2"],"monodromy":[],"monodromy_dm":[]},{"re":"25/153","im":"0","approx_re":"0.16339869281","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"25/128","im":"0","approx_re":"0.1953125","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["5","6","7","8"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -33*X^4-98*X^3-105*X^2-56*X-12, 272*X^4+2208*X^3+4872*X^2+4656*X+1728, 528*X^4-8160*X^3-45168*X^2-72960*X-40608, -1152*(2*X^2+6*X+5)*(4*X^2+12*X-31), 8448*X^4+231936*X^3+908544*X^2+1268736*X+557568, 69632*X^4+270336*X^3-79872*X^2-1449984*X-1529856, -135168*X^4-1220608*X^3-4116480*X^2-6111232*X-3342336, 65536*(X+3)^4]", "text": "This is operator \"8.55\" from ...", "degz": 8, "h3": null, "sol": "1 12 120 1216 13080 149664 1801312 22528512 290011032 3816913696", "n_discr_factors": "5", "c3": null, "operator": "4 8 0 0 0 0 1 -12 -56 -105 -98 -33 1728 4656 4872 2208 272 -40608 -72960 -45168 -8160 528 178560 145152 -34560 -55296 -9216 557568 1268736 908544 231936 8448 -1529856 -1449984 -79872 270336 69632 -3342336 -6111232 -4116480 -1220608 -135168 5308416 7077888 3538944 786432 65536", "new_number": "8.55", "id": 502, "operator_tex": "\\theta^4-x\\left(33\\theta^4+98\\theta^3+105\\theta^2+56\\theta+12\\right)+2^{3} x^{2}\\left(34\\theta^4+276\\theta^3+609\\theta^2+582\\theta+216\\right)+2^{4} 3 x^{3}\\left(11\\theta^4-170\\theta^3-941\\theta^2-1520\\theta-846\\right)-2^{7} 3^{2} x^{4}(2\\theta^2+6\\theta+5)(4\\theta^2+12\\theta-31)+2^{8} 3 x^{5}\\left(11\\theta^4+302\\theta^3+1183\\theta^2+1652\\theta+726\\right)+2^{11} x^{6}\\left(34\\theta^4+132\\theta^3-39\\theta^2-708\\theta-747\\right)-2^{12} x^{7}\\left(33\\theta^4+298\\theta^3+1005\\theta^2+1492\\theta+816\\right)+2^{16} x^{8}\\left((\\theta+3)^4\\right)", "superseek": "1 68/9", "discriminant": "8 1 -33 272 528 -9216 8448 69632 -135168 65536", "aesz": null, "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "39ed8ce7572bc79a333f77c892033bcf", "dim_h": null, "inst": " 1 -2 68/9 -30 150 -778 4374 -25438 463459/3 -960634", "cleanlist": "True", "n_sing_real": "7", "sol_explicit": "", "n_sing_rational": "5", "n_sing": "7", "laurent": null, "discriminant_tex": "(z-1)(16z-1)(16z^2-16z+1)(4z-1)^2(4z+1)^2", "discr_factors": "65536, (z-1/4)^2, (z+1/4)^2, z-1, z-1/16, z^2-z+1/16", "dm_basis": null, "q": "0 1 -8 52 -336 2226 -15040 103280 -719520 5072791", "yuk": "1 1 -15 205 -1935 18751 -167859 1500283 -13026191 112620742", "gv2": null, "gv0": null, "gv1": null, 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