{"count": 2, "status":"OK", "data":[{"pols": "[25*X^4, -11840*X^4-31360*X^3-28380*X^2-12700*X-2300, 1048576*X^4+8224768*X^3+14445056*X^2+9574400*X+2315760, 109051904*X^4+125829120*X^3-609091584*X^2-813957120*X-271426560, -4294967296*X^4-40802189312*X^3-76403441664*X^2-53485764608*X-12859211776, -67108864*(8*X+5)*(8*X+7)*(8*X+9)*(8*X+11)]", "text": "This is operator \"5.67\" from ...", "degz": 5, "h3": null, "sol": "1 92 14124 2572400 510577900 106698949392 23073900762864 5112820919583168 1153747673591018220 264058057845710757200", "n_discr_factors": "3", "c3": null, "operator": "4 5 0 0 0 0 25 -2300 -12700 -28380 -31360 -11840 2315760 9574400 14445056 8224768 1048576 -271426560 -813957120 -609091584 125829120 109051904 -12859211776 -53485764608 -76403441664 -40802189312 -4294967296 -232532213760 -1013612281856 -1606317768704 -1099511627776 -274877906944", "new_number": "5.67", "id": 279, "operator_tex": "5^{2} \\theta^4-2^{2} 5 x\\left(592\\theta^4+1568\\theta^3+1419\\theta^2+635\\theta+115\\right)+2^{4} x^{2}\\left(65536\\theta^4+514048\\theta^3+902816\\theta^2+598400\\theta+144735\\right)+2^{10} x^{3}\\left(106496\\theta^4+122880\\theta^3-594816\\theta^2-794880\\theta-265065\\right)-2^{19} x^{4}\\left(8192\\theta^4+77824\\theta^3+145728\\theta^2+102016\\theta+24527\\right)-2^{26} x^{5}(8\\theta+5)(8\\theta+7)(8\\theta+9)(8\\theta+11)", "superseek": "116/5 186172/5", "discriminant": "5 25 -11840 1048576 109051904 -4294967296 -274877906944", "aesz": "275", "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "f411d346afd4b8ff14b8b4c1836bae77", "dim_h": null, "inst": " 116/5 -5993/5 186172/5 -8039756/5 384321296/5 -4052885815 1165997831068/5 -71146153051852/5 4532878454152584/5 -297595933756401716/5", "cleanlist": "True", "n_sing_real": "4", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "4", "laurent": null, "discriminant_tex": "-(-1+64z)(256z+5)^2(256z-1)^2", "discr_factors": "-274877906944, -1/64+z, (z+5/256)^2, (z-1/256)^2", "dm_basis": null, "q": "0 1 -140 15654 -1622960 162641409 -15912329736 1528405518258 -144717142975680 13548270698953236", "yuk": "1 116/5 -47828/5 1005352 -514592212/5 48040162116/5 -4377111701384/5 79987451211288 -36426830877140436/5 3304468393082260496/5", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-5/256","im":"0","approx_re":"-0.01953125","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":"1/256","im":"0","approx_re":"0.00390625","approx_im":"0.0","exponents":["0","0","1","1"],"monodromy":[],"monodromy_dm":[]},{"re":"1/64","im":"0","approx_re":"0.015625","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":["5/8","7/8","9/8","11/8"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[25*X^4, -3940*X^4-8360*X^3-6380*X^2-2200*X-300, 2896*X^4+81088*X^3+164656*X^2+108000*X+25360, -110528*X^4+304512*X^3+727360*X^2+291840*X+22080, 1203712*X^4+2330624*X^3-5696000*X^2-6426624*X-1962496, -2158592*X^4-5931008*X^3-65536*X^2+7417856*X+3633152, 16154624*X^4-50036736*X^3-25853952*X^2-11894784*X-3801088, -102236160*X^4+36962304*X^3-113377280*X^2-191234048*X-73793536, 158334976*X^4-109051904*X^3-305135616*X^2-250609664*X-68157440, -96468992*X^4-100663296*X^3-356515840*X^2-553648128*X-230686720, 33554432*(X+1)*(7*X^3+31*X^2+35*X+12), -268435456*(X+1)^4]", "text": "This is operator \"11.4\" from ...", "degz": 11, "h3": null, "sol": "1 12 572 42960 3944556 405927312 44976624944 5248589511744 636470775893740 79500376972668432", "n_discr_factors": "3", "c3": null, "operator": "4 11 0 0 0 0 25 -300 -2200 -6380 -8360 -3940 25360 108000 164656 81088 2896 22080 291840 727360 304512 -110528 -1962496 -6426624 -5696000 2330624 1203712 3633152 7417856 -65536 -5931008 -2158592 -3801088 -11894784 -25853952 -50036736 16154624 -73793536 -191234048 -113377280 36962304 -102236160 -68157440 -250609664 -305135616 -109051904 158334976 -230686720 -553648128 -356515840 -100663296 -96468992 402653184 1577058304 2214592512 1275068416 234881024 -268435456 -1073741824 -1610612736 -1073741824 -268435456", "new_number": "11.4", "id": 341, "operator_tex": "5^{2} \\theta^4-2^{2} 5 x\\left(197\\theta^4+418\\theta^3+319\\theta^2+110\\theta+15\\right)+2^{4} x^{2}\\left(181\\theta^4+5068\\theta^3+10291\\theta^2+6750\\theta+1585\\right)-2^{6} x^{3}\\left(1727\\theta^4-4758\\theta^3-11365\\theta^2-4560\\theta-345\\right)+2^{9} x^{4}\\left(2351\\theta^4+4552\\theta^3-11125\\theta^2-12552\\theta-3833\\right)-2^{12} x^{5}\\left(527\\theta^4+1448\\theta^3+16\\theta^2-1811\\theta-887\\right)+2^{15} x^{6}\\left(493\\theta^4-1527\\theta^3-789\\theta^2-363\\theta-116\\right)-2^{17} x^{7}\\left(780\\theta^4-282\\theta^3+865\\theta^2+1459\\theta+563\\right)+2^{20} x^{8}\\left(151\\theta^4-104\\theta^3-291\\theta^2-239\\theta-65\\right)-2^{22} x^{9}\\left(23\\theta^4+24\\theta^3+85\\theta^2+132\\theta+55\\right)+2^{25} x^{10}(\\theta+1)(7\\theta^3+31\\theta^2+35\\theta+12)-2^{28} x^{11}\\left((\\theta+1)^4\\right)", "superseek": "116/5 29628/5", "discriminant": "11 25 -3940 2896 -110528 1203712 -2158592 16154624 -102236160 158334976 -96468992 234881024 -268435456", "aesz": null, "n_sing_complex": "4", "inst_int": "", "c2h": null, "hash": "4222cdacde3dbaf06ed32adadb70f0d6", "dim_h": null, "inst": " 116/5 1059/5 29628/5 2227181/10 51562768/5 2740127457/5 159563395868/5 19902142099427/10 130761042201704 44764725674950396/5", "cleanlist": "True", "n_sing_real": "4", "sol_explicit": "", "n_sing_rational": "2", "n_sing": "8", "laurent": null, "discriminant_tex": "-(-1+156z+160z^2+256z^3)(4z-1)^2(256z^3-128z^2-16z-5)^2", "discr_factors": "-268435456, (z^3-1/2*z^2-1/16*z-5/256)^2, -1/256+39/64*z+5/8*z^2+z^3, (z-1/4)^2", "dm_basis": null, "q": "0 1 -40 502 -12096 -142623 -15843632 -963478046 -67896513280 -4927396898828", "yuk": "1 116/5 8588/5 800072/5 14255676 6445346116/5 591868339256/5 10946048956568 5094948448731692/5 476623998826011152/5", "gv2": null, "gv0": null, "gv1": null, 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