{"count": 2, "status":"OK", "data":[{"pols": "[9*X^4, -492*X+96*X^4-1536*X^3-1260*X^2-84, -6864+56576*X^2+10880*X-43520*X^4+1024*X^3, 1076224+4079616*X^3+344064*X^4-845824*X^2+479232*X, 187596800*X+65409024-29622272*X^3+68157440*X^4+179568640*X^2, -1499463680*X^4-5837160448*X-2370568192-5052301312*X^2-1820327936*X^3, -168944467968-283316846592*X-21424504832*X^4-216056987648*X^2-79725330432*X^3, 764504178688*X^4+7408818585600*X+2972117368832*X^3+6578010849280*X^2+3423088934912, 166010686537728+215731912310784*X+106223131164672*X^2+21440476741632*X^3+1430224109568*X^4, -3150667749261312-1090165778939904*X^3-3494471291371520*X^2-5339245644349440*X-150495654051840*X^4, -16007789788790784*X^2+70368744177664*X^4-55062786404777984-51548953400836096*X-1376588557975552*X^3, 644955928667357184*X^2+14284855068065792*X^4+1293008082078531584*X+1004008047787376640+150237268819312640*X^3, 199284283511144448*X^3+7178051710772838400+7318349394477056*X^4+5993305941611642880*X+1738389456165011456*X^2, -93691760747908956160-100458419188033126400*X-41630149055506022400*X^2-7926335344172072960*X^3-585467951558164480*X^4, -1801439850948198400*(X+4)^4]", "text": "This is operator \"14.9\" from ...", "degz": 14, "h3": null, "sol": "1 28/3 260 116240/27 7153796/81 138739856/81 25475908912/729 1578618954688/2187 33436113212396/2187 6493209532219376/19683", "n_discr_factors": "5", "c3": null, "operator": "4 14 0 0 0 0 9 -84 -492 -1260 -1536 96 -6864 10880 56576 1024 -43520 1076224 479232 -845824 4079616 344064 65409024 187596800 179568640 -29622272 68157440 -2370568192 -5837160448 -5052301312 -1820327936 -1499463680 -168944467968 -283316846592 -216056987648 -79725330432 -21424504832 3423088934912 7408818585600 6578010849280 2972117368832 764504178688 166010686537728 215731912310784 106223131164672 21440476741632 1430224109568 -3150667749261312 -5339245644349440 -3494471291371520 -1090165778939904 -150495654051840 -55062786404777984 -51548953400836096 -16007789788790784 -1376588557975552 70368744177664 1004008047787376640 1293008082078531584 644955928667357184 150237268819312640 14284855068065792 7178051710772838400 5993305941611642880 1738389456165011456 199284283511144448 7318349394477056 -93691760747908956160 -100458419188033126400 -41630149055506022400 -7926335344172072960 -585467951558164480 -461168601842738790400 -461168601842738790400 -172938225691027046400 -28823037615171174400 -1801439850948198400", "new_number": "14.9", "id": 388, "operator_tex": "3^{2} \\theta^4+2^{2} 3 x\\left(8\\theta^4-128\\theta^3-105\\theta^2-41\\theta-7\\right)-2^{4} x^{2}\\left(2720\\theta^4-64\\theta^3-3536\\theta^2-680\\theta+429\\right)+2^{10} x^{3}\\left(336\\theta^4+3984\\theta^3-826\\theta^2+468\\theta+1051\\right)+2^{12} x^{4}\\left(16640\\theta^4-7232\\theta^3+43840\\theta^2+45800\\theta+15969\\right)-2^{18} x^{5}\\left(5720\\theta^4+6944\\theta^3+19273\\theta^2+22267\\theta+9043\\right)-2^{21} x^{6}\\left(10216\\theta^4+38016\\theta^3+103024\\theta^2+135096\\theta+80559\\right)+2^{28} x^{7}\\left(2848\\theta^4+11072\\theta^3+24505\\theta^2+27600\\theta+12752\\right)+2^{29} 3 x^{8}\\left(888\\theta^4+13312\\theta^3+65952\\theta^2+133944\\theta+103073\\right)-2^{34} x^{9}\\left(8760\\theta^4+63456\\theta^3+203405\\theta^2+310785\\theta+183393\\right)+2^{36} x^{10}\\left(1024\\theta^4-20032\\theta^3-232944\\theta^2-750136\\theta-801269\\right)+2^{42} x^{11}\\left(3248\\theta^4+34160\\theta^3+146646\\theta^2+293996\\theta+228285\\right)+2^{44} x^{12}\\left(416\\theta^4+11328\\theta^3+98816\\theta^2+340680\\theta+408025\\right)-2^{50} 5 x^{13}\\left(104\\theta^4+1408\\theta^3+7395\\theta^2+17845\\theta+16643\\right)-2^{56} 5^{2} x^{14}\\left((\\theta+4)^4\\right)", "superseek": "44/3 220588/81", "discriminant": "14 9 96 -43520 344064 68157440 -1499463680 -21424504832 764504178688 1430224109568 -150495654051840 70368744177664 14284855068065792 7318349394477056 -585467951558164480 -1801439850948198400", "aesz": null, "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "32527b63e2e6c7ca027dfb5cb9afac16", "dim_h": null, "inst": " 44/3 -1421/9 220588/81 -14752264/243 1138508000/729 -10709297389/243 26132550216580/19683 -2479083315913288/59049 37209718959808/27 -222890635279564684376/4782969", "cleanlist": "True", "n_sing_real": "8", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "8", "laurent": null, "discriminant_tex": "-(1+16z)(16z+3)^2(1280z^2-32z-1)^2(256z^2+16z-1)^2(16z-1)^3", "discr_factors": "-1801439850948198400, (z^2-1/40*z-1/1280)^2, (z^2+1/16*z-1/256)^2, (z-1/16)^3, (z+3/16)^2, 1/16+z", "dm_basis": null, "q": "0 1 -52/3 1034/3 -685232/81 58632847/243 -7584520 1665120615890/6561 -174404409876800/19683 956870278022/3", "yuk": "1 44/3 -11236/9 73544 -944448268/243 142313510692/729 -9519303176 8963464724575624/19683 -1269290887248532580/59049 1004662411988360", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-3/16","im":"0","approx_re":"-0.1875","approx_im":"0.0","exponents":["0","1","-2","3"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/32-1/32*5^(1/2)","im":"0","approx_re":"-0.101127","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/16","im":"0","approx_re":"-0.0625","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/80-1/80*6^(1/2)","im":"0","approx_re":"-0.018119","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":"-1/32+1/32*5^(1/2)","im":"0","approx_re":"0.038627","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"1/80+1/80*6^(1/2)","im":"0","approx_re":"0.043119","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":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["4","4","4","4"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[27*X^4, 432*X^4-540-2628*X-5760*X^3-5508*X^2, 295872*X+306240*X^2+112464-33792*X^3-129024*X^4, -1102080+17825792*X^3+6772736*X^2+1005568*X+335872*X^4, -65896448*X+209977344*X^4-7311360-67010560*X^2-67633152*X^3, -8728018944-20230963200*X-14659092480*X^3-3407872000*X^4-20752105472*X^2, -66441969664*X^2+32568770560*X-88264933376*X^4-76369887232*X^3+50988056576, 11803408990208+10383083438080*X^3+25540291461120*X+22371679338496*X^2+1950720458752*X^4, 14018773254144*X^3+16522739187712*X^4-88707717660672-43752831844352*X^2-124506806943744*X, -11378553778077696*X-8578509978992640*X^2-428603376402432*X^4-5853482078699520-3110518394978304*X^3, 20472631631282176*X^2+44573995231608832-2308974418329600*X^3+58566861243023360*X-2196824232296448*X^4, 1383827742532829184*X^2+1060244769013235712+1993713648320643072*X+419679190275588096*X^3+43980465111040000*X^4, -3489322140979691520+790803947068588032*X^2+250512729272483840*X^4+1173187702930014208*X^3-2883851873889026048*X, -86645879130887815168*X^2-137928368087755653120*X-76746685674950754304-21527206218830970880*X^3-1639310264362860544*X^4, -454233058416588226560*X^2-640682082989726760960*X-14771806777775226880*X^4-138350580552821637120*X^3-332635868477584834560, -28823037615171174400*(X+2)^4]", "text": "This is operator \"15.3\" from ...", "degz": 15, "h3": null, "sol": "1 20 388 7344 141636 2777360 55728816 1143301440 23982011716 513499103440", "n_discr_factors": "5", "c3": null, "operator": "4 15 0 0 0 0 27 -540 -2628 -5508 -5760 432 112464 295872 306240 -33792 -129024 -1102080 1005568 6772736 17825792 335872 -7311360 -65896448 -67010560 -67633152 209977344 -8728018944 -20230963200 -20752105472 -14659092480 -3407872000 50988056576 32568770560 -66441969664 -76369887232 -88264933376 11803408990208 25540291461120 22371679338496 10383083438080 1950720458752 -88707717660672 -124506806943744 -43752831844352 14018773254144 16522739187712 -5853482078699520 -11378553778077696 -8578509978992640 -3110518394978304 -428603376402432 44573995231608832 58566861243023360 20472631631282176 -2308974418329600 -2196824232296448 1060244769013235712 1993713648320643072 1383827742532829184 419679190275588096 43980465111040000 -3489322140979691520 -2883851873889026048 790803947068588032 1173187702930014208 250512729272483840 -76746685674950754304 -137928368087755653120 -86645879130887815168 -21527206218830970880 -1639310264362860544 -332635868477584834560 -640682082989726760960 -454233058416588226560 -138350580552821637120 -14771806777775226880 -461168601842738790400 -922337203685477580800 -691752902764108185600 -230584300921369395200 -28823037615171174400", "new_number": "15.3", "id": 391, "operator_tex": "3^{3} \\theta^4+2^{2} 3^{2} x\\left(12\\theta^4-160\\theta^3-153\\theta^2-73\\theta-15\\right)-2^{4} 3 x^{2}\\left(2688\\theta^4+704\\theta^3-6380\\theta^2-6164\\theta-2343\\right)+2^{8} x^{3}\\left(1312\\theta^4+69632\\theta^3+26456\\theta^2+3928\\theta-4305\\right)+2^{12} x^{4}\\left(51264\\theta^4-16512\\theta^3-16360\\theta^2-16088\\theta-1785\\right)-2^{16} x^{5}\\left(52000\\theta^4+223680\\theta^3+316652\\theta^2+308700\\theta+133179\\right)-2^{21} x^{6}\\left(42088\\theta^4+36416\\theta^3+31682\\theta^2-15530\\theta-24313\\right)+2^{25} x^{7}\\left(58136\\theta^4+309440\\theta^3+666728\\theta^2+761160\\theta+351769\\right)+2^{29} x^{8}\\left(30776\\theta^4+26112\\theta^3-81496\\theta^2-231912\\theta-165231\\right)-2^{33} 3 x^{9}\\left(16632\\theta^4+120704\\theta^3+332890\\theta^2+441546\\theta+227145\\right)-2^{36} x^{10}\\left(31968\\theta^4+33600\\theta^3-297916\\theta^2-852260\\theta-648637\\right)+2^{40} x^{11}\\left(40000\\theta^4+381696\\theta^3+1258584\\theta^2+1813272\\theta+964287\\right)+2^{44} x^{12}\\left(14240\\theta^4+66688\\theta^3+44952\\theta^2-163928\\theta-198345\\right)-2^{48} x^{13}\\left(5824\\theta^4+76480\\theta^3+307828\\theta^2+490020\\theta+272659\\right)-2^{54} 5 x^{14}\\left(164\\theta^4+1536\\theta^3+5043\\theta^2+7113\\theta+3693\\right)-2^{60} 5^{2} x^{15}\\left((\\theta+2)^4\\right)", "superseek": "44/3 220588/81", "discriminant": "15 27 432 -129024 335872 209977344 -3407872000 -88264933376 1950720458752 16522739187712 -428603376402432 -2196824232296448 43980465111040000 250512729272483840 -1639310264362860544 -14771806777775226880 -28823037615171174400", "aesz": null, "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "ae51313cd958206bb1b7a3c8ae23e509", "dim_h": null, "inst": " 44/3 -1421/9 220588/81 -14752264/243 1138508000/729 -10709297389/243 26132550216580/19683 -2479083315913288/59049 37209718959808/27 -222890635279564684376/4782969", "cleanlist": "True", "n_sing_real": "8", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "8", "laurent": null, "discriminant_tex": "-(1+16z)(1280z^2-32z-1)^2(256z^2+16z-1)^2(16z+3)^3(16z-1)^3", "discr_factors": "-28823037615171174400, (z^2-1/40*z-1/1280)^2, (z+3/16)^3, (z^2+1/16*z-1/256)^2, 1/16+z, (z-1/16)^3", "dm_basis": null, "q": "0 1 -52/3 1034/3 -685232/81 58632847/243 -7584520 1665120615890/6561 -174404409876800/19683 956870278022/3", "yuk": "1 44/3 -11236/9 73544 -944448268/243 142313510692/729 -9519303176 8963464724575624/19683 -1269290887248532580/59049 1004662411988360", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-3/16","im":"0","approx_re":"-0.1875","approx_im":"0.0","exponents":["0","2","3","5"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/32-1/32*5^(1/2)","im":"0","approx_re":"-0.101127","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/16","im":"0","approx_re":"-0.0625","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/80-1/80*6^(1/2)","im":"0","approx_re":"-0.018119","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":"-1/32+1/32*5^(1/2)","im":"0","approx_re":"0.038627","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"1/80+1/80*6^(1/2)","im":"0","approx_re":"0.043119","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":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["2","2","2","2"],"monodromy":[],"monodromy_dm":[]}]}]}