{"count": 10, "status":"OK", "data":[{"pols": "[X^4, -48*(2*X+1)^2*(72*X^2+72*X+31), 2985984*(2*X+1)^2*(2*X+3)^2]", "text": "This is operator \"2.35\" from ...", "degz": 2, "h3": null, "sol": "1 1488 5351184 24363091200 123873273392400 671561521382239488 3796768014550755197184 22110081696434046350610432 131617782475227850481749040400 796918690081998991182851955436800", "n_discr_factors": "1", "c3": null, "operator": "4 2 0 0 0 0 1 -1488 -9408 -23232 -27648 -13824 26873856 143327232 262766592 191102976 47775744", "new_number": "2.35", "id": 28, "operator_tex": "\\theta^4-2^{4} 3 x(2\\theta+1)^2(72\\theta^2+72\\theta+31)+2^{12} 3^{6} x^{2}(2\\theta+1)^2(2\\theta+3)^2", "superseek": "480 -16034720", "discriminant": "2 1 -13824 47775744", "aesz": "~67", "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "f06ee3928cd6d738db065f3f83d12160", "dim_h": null, "inst": " 480 -226968 -16034720 10943202744 -4352645747040 1804668614705992 1190742780994879200 -616531891444505560008 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{"pols": "[X^4, -36*(3*X+1)*(3*X+2)*(72*X^2+72*X+31), 1679616*(3*X+1)*(3*X+2)*(3*X+4)*(3*X+5)]", "text": "This is operator \"2.36\" from ...", "degz": 2, "h3": null, "sol": "1 2232 13377960 102324983040 875961004703400 8002774796471687232 76280521019610627143424 749114306428132549431521280 7521450046218982317145489393320 76820617845404461576523449527768000", "n_discr_factors": "1", "c3": null, "operator": "4 2 0 0 0 0 1 -2232 -15228 -38556 -46656 -23328 67184640 393030144 740710656 544195584 136048896", "new_number": "2.36", "id": 29, "operator_tex": "\\theta^4-2^{2} 3^{2} x(3\\theta+1)(3\\theta+2)(72\\theta^2+72\\theta+31)+2^{8} 3^{8} x^{2}(3\\theta+1)(3\\theta+2)(3\\theta+4)(3\\theta+5)", "superseek": "-36 128217204", "discriminant": "2 1 -23328 136048896", "aesz": null, "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "4dbde07f1392f8d49d0e10858d3a17f1", "dim_h": null, "inst": " -36 -486279 128217204 -74772628524 63925611915744 -35440459840753677 33665089643078712948 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"spectrum":[{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":["1","-1","1/2","-1/6","0","1","-1","1/2","0","0","1","-1","0","0","0","1"],"monodromy_dm":["1","0","0","0","1","1","0","0","0","-3","1","0","0","0","1","1"]},{"re":"1/11664","im":"0","approx_re":"8.57338820302e-05","approx_im":"0.0","exponents":["0","1/6","5/6","1"],"monodromy":["1/16+342*lambda","45/32+171*lambda",".27343750000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000-.483390739*I","-.36685353e-1","7/8","23/16","-49/192",".27343750000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000+.483390739*I","-3/2","9/4","23/16","45/32-171*lambda","-3","-3/2","7/8","1/16-342*lambda"],"monodromy_dm":["0","-2","0","-1","-1","1","1","0","0","0","1","0","3","0","-3","1"]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1/3","2/3","4/3","5/3"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -48*(4*X+1)*(4*X+3)*(72*X^2+72*X+31), 2985984*(4*X+1)*(4*X+3)*(4*X+5)*(4*X+7)]", "text": "Hadamard product $B\\ast c$.", "degz": 2, "h3": null, "sol": "1 4464 62430480 1125574813440 22774986122288400 492361192240067614464 11111529228523281353892096 258444435717705729553874841600 6147075992318968275557995422358800 148748353261886238984942174731767392000", "n_discr_factors": "1", "c3": null, "operator": "4 2 0 0 0 0 1 -4464 -34176 -89472 -110592 -55296 313528320 2102132736 4108713984 3057647616 764411904", "new_number": "2.37", "id": 30, "operator_tex": "\\theta^4-2^{4} 3 x(4\\theta+1)(4\\theta+3)(72\\theta^2+72\\theta+31)+2^{12} 3^{6} x^{2}(4\\theta+1)(4\\theta+3)(4\\theta+5)(4\\theta+7)", "superseek": "-2592 81451104", "discriminant": "2 1 -55296 764411904", "aesz": null, "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "fb56d2f39692cfb98f66d467355b3c99", "dim_h": null, "inst": " -2592 -307800 81451104 144135316512 98667659422368 19581239950274184 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"spectrum":[{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":["1","-1","1/2","-1/6","0","1","-1","1/2","0","0","1","-1","0","0","0","1"],"monodromy_dm":["1","0","0","0","1","1","0","0","0","-2","1","0","0","0","1","1"]},{"re":"1/27648","im":"0","approx_re":"3.61689814815e-05","approx_im":"0.0","exponents":["0","1/6","5/6","1"],"monodromy":["7/24+885/878*I","17/16+104*lambda","85/576-130/3*lambda",".244599715","5/12","29/24","-25/288","85/576+130/3*lambda","-1","3/2","29/24","17/16-104*lambda","-2","-1","5/12","7/24-885/878*I"],"monodromy_dm":["0","-1","0","-1","-1","1","1","0","0","0","1","0","2","0","-2","1"]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1/4","3/4","5/4","7/4"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -144*(6*X+1)*(6*X+5)*(72*X^2+72*X+31), 26873856*(6*X+1)*(6*X+5)*(6*X+7)*(6*X+11)]", "text": "This is operator \"2.38\" from ...", "degz": 2, "h3": null, "sol": "1 22320 2060205840 248752033770240 33839074380496104720 4926073728361876482712320 749194858233182245286174572800 117487375958799957656057364367257600 18846055960583055120397409171606683491600 3076205051128442319770710298722602167292076800", "n_discr_factors": "1", "c3": null, "operator": "4 2 0 0 0 0 1 -22320 -212544 -585792 -746496 -373248 10346434560 89006211072 183817175040 139314069504 34828517376", "new_number": "2.38", "id": 31, "operator_tex": "\\theta^4-2^{4} 3^{2} x(6\\theta+1)(6\\theta+5)(72\\theta^2+72\\theta+31)+2^{12} 3^{8} x^{2}(6\\theta+1)(6\\theta+5)(6\\theta+7)(6\\theta+11)", "superseek": "-41184 -5124430612320", "discriminant": "2 1 -373248 34828517376", "aesz": "61", "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "191cd9ad5f43862072f3be6811803748", "dim_h": null, "inst": " -41184 251271360 -5124430612320 160031225395327320 -6251395923736354968480 281719052768887766413067712 -14011445466133465751932493202912 749010431161713344489247392127781848 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"spectrum":[{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":["1","-1","1/2","-1/6","0","1","-1","1/2","0","0","1","-1","0","0","0","1"],"monodromy_dm":["1","0","0","0","1","1","0","0","0","-1","1","0","0","0","1","1"]},{"re":"1/186624","im":"0","approx_re":"5.35836762689e-06","approx_im":"0.0","exponents":["0","1/6","5/6","1"],"monodromy":["25/48+62*lambda","23/32+31*lambda","-23/1152+31/12*lambda",".598529843","-1/24","47/48","-1/576","-23/1152-31/12*lambda","-1/2","3/4","47/48","23/32-31*lambda","-1","-1/2","-1/24","25/48-62*lambda"],"monodromy_dm":["0","0","0","-1","-1","1","1","0","0","0","1","0","1","0","-1","1"]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1/6","5/6","7/6","11/6"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -6*(2*X+1)^2*(9*X^2+9*X+5), 2916*(2*X+1)*(X+1)^2*(2*X+3)]", "text": "Hadamard product $I \\ast \\iota$", "degz": 2, "h3": null, "sol": "1 30 1782 129900 10463670 894351780 79506157500 7268449719960 678536243277750 64381774028157300", "n_discr_factors": "1", "c3": null, "operator": "4 2 0 0 0 0 1 -30 -174 -390 -432 -216 8748 40824 67068 46656 11664", "new_number": "2.58", "id": 53, "operator_tex": "\\theta^4-2 3 x(2\\theta+1)^2(9\\theta^2+9\\theta+5)+2^{2} 3^{6} x^{2}(2\\theta+1)(\\theta+1)^2(2\\theta+3)", "superseek": "-6 -104", "discriminant": "2 1 -216 11664", "aesz": "46", "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "2226ec115674e71c483ba2c0350e8adf", "dim_h": null, "inst": " -6 -6 -104 36 -4812 37984 -444900 7911900 -81187538 1584490908", "cleanlist": "True", "n_sing_real": "2", "sol_explicit": "", "n_sing_rational": "2", "n_sing": "2", "laurent": null, "discriminant_tex": "(108z-1)^2", "discr_factors": "11664, (z-1/108)^2", "dm_basis": ["1/2-36*lambda", "-3", "5/6", "1", "0", "12", "-1", "0", "6", "-36", "0", "0", "36", "0", "0", "0"], "q": "0 1 -54 2079 -67356 1981287 -54730890 1447035885 -37047063960 925398152064", "yuk": "1 -6 -54 -2814 2250 -601506 8201682 -152600706 4050895050 -59185718016", "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":["1","-1","1/2","-1/6","0","1","-1","1/2","0","0","1","-1","0","0","0","1"],"monodromy_dm":["1","0","0","0","1","1","0","0","0","-36","1","0","0","0","1","1"]},{"re":"1/108","im":"0","approx_re":"0.00925925925926","approx_im":"0.0","exponents":["0","1/6","5/6","1"],"monodromy":["1/2+36*lambda","1/4+6*lambda","0",".19987912e-1","0","1","0","0","-6","3","1","1/4-6*lambda","-36","-6","0","1/2-36*lambda"],"monodromy_dm":["0","1","-666667/1000000","-1","-333333/1000000","-333333/1000000","111111/1000000","0","-4","-16","2333333/1000000","0","3333333/1000000","13333333/1000000","-1111111/1000000","1"]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1/2","1","1","3/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, 168*X^4+336*X^3+240*X^2+72*X+8, -64*(X+1)^2*(96*X^2+192*X+77), 12800*(X+1)*(X+2)*(2*X+1)*(2*X+5)]", "text": "Operator equivalent to AESZ 328", "degz": 3, "h3": null, "sol": "1 -8 720 -68480 8123920 -1070471808 151600990464 -22585925007360 3494359788725520 -556633716248804480", "n_discr_factors": "2", "c3": null, "operator": "4 3 0 0 0 0 1 8 72 240 336 168 -4928 -22144 -35648 -24576 -6144 128000 499200 627200 307200 51200", "new_number": "3.15", "id": 75, "operator_tex": "\\theta^4+2^{3} x\\left(21\\theta^4+42\\theta^3+30\\theta^2+9\\theta+1\\right)-2^{6} x^{2}(\\theta+1)^2(96\\theta^2+192\\theta+77)+2^{9} 5^{2} x^{3}(\\theta+1)(\\theta+2)(2\\theta+1)(2\\theta+5)", "superseek": "-32 -16288", "discriminant": "3 1 168 -6144 51200", "aesz": null, "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "e21c92d8f9a2222be40fdc71ea51ee35", "dim_h": null, "inst": " -32 468 -16288 1681645/2 -53608288 3907375492 -312636871456 53569620608583/2 -2417943264831744 227473709385640668", "cleanlist": "True", "n_sing_real": "3", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "3", "laurent": null, "discriminant_tex": "(200z+1)(-1+16z)^2", "discr_factors": "51200, (-1/16+z)^2, z+1/200", "dm_basis": ["-17/12-58*lambda", "17/6", "1/2", "1", "-25/6", "0", "-1", "0", "-8", "16", "0", "0", "-16", "0", "0", "0"], "q": "0 1 40 -400 -5888 -1120272 92443392 -7633773824 738647261184 -73820785132648", "yuk": "1 -32 3712 -439808 53816352 -6701036032 843992670208 -107234446909440 13713822929613600 -1762680640062781184", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/200","im":"0","approx_re":"-0.005","approx_im":"0.0","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":"1/16","im":"0","approx_re":"0.0625","approx_im":"0.0","exponents":["0","1/6","5/6","1"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1/2","1","2","5/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -561*X^4-1122*X^3-975*X^2-414*X-70, 196*(X+1)^2*(534*X^2+1068*X+433), -1623076*(X+1)*(X+2)*(2*X+1)*(2*X+5)]", "text": "This is operator \"3.20\" from ...", "degz": 3, "h3": null, "sol": "1 70 8442 1192660 182057050 29111212620 4802304206700 810231412830840 139054209690245850 24188007840075979900", "n_discr_factors": "2", "c3": null, "operator": "4 3 0 0 0 0 1 -70 -414 -975 -1122 -561 84868 379064 608188 418656 104664 -16230760 -63299964 -79530724 -38953824 -6492304", "new_number": "3.20", "id": 80, "operator_tex": "\\theta^4-x\\left(561\\theta^4+1122\\theta^3+975\\theta^2+414\\theta+70\\right)+2^{2} 7^{2} x^{2}(\\theta+1)^2(534\\theta^2+1068\\theta+433)-2^{2} 7^{4} 13^{2} x^{3}(\\theta+1)(\\theta+2)(2\\theta+1)(2\\theta+5)", "superseek": "19 4455", "discriminant": "3 1 -561 104664 -6492304", "aesz": "390", "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "cd8ca8746f3610e70893770a090533f9", "dim_h": null, "inst": " 19 -276 4455 -104648 2969383 -91292032 2962144568 -101226583168 3602464445771 -131972682107892", "cleanlist": "True", "n_sing_real": "3", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "3", "laurent": null, "discriminant_tex": "-(169z-1)(-1+196z)^2", "discr_factors": "-6492304, (-1/196+z)^2, z-1/169", "dm_basis": ["7/12-224*lambda", "-49/12", "6/7", "1", "-7/12", "35/2", "-1", "0", "7", "-49", "0", "0", "49", "0", "0", "0"], "q": "0 1 -134 15689 -1713180 179137540 -18186519462 1807220516934 -176688885536264 17055257369318012", "yuk": "1 19 -2189 120304 -6699661 371172894 -19718960816 1016015586843 -51828017281677 2626196581087363", "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":"1/196","im":"0","approx_re":"0.00510204081633","approx_im":"0.0","exponents":["0","1/6","5/6","1"],"monodromy":[],"monodromy_dm":[]},{"re":"1/169","im":"0","approx_re":"0.00591715976331","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":["1/2","1","2","5/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[25*X^4, -4995*X^4-13230*X^3-11715*X^2-5100*X-900, 186624*X^4+1463832*X^3+2585844*X^2+1717200*X+415440, 8188128*X^4+9447840*X^3-45585828*X^2-61279740*X-20664720, -136048896*X^4-1292464512*X^3-2424315744*X^2-1707224688*X-415285056, -11337408*(3*X+2)*(3*X+4)*(6*X+5)*(6*X+7)]", "text": "This is operator \"5.65\" from ...", "degz": 5, "h3": null, "sol": "1 36 2196 161280 13032900 1115973936 99328836096 9088750224576 849053816612100 80605604422371600", "n_discr_factors": "3", "c3": null, "operator": "4 5 0 0 0 0 25 -900 -5100 -11715 -13230 -4995 415440 1717200 2585844 1463832 186624 -20664720 -61279740 -45585828 9447840 8188128 -415285056 -1707224688 -2424315744 -1292464512 -136048896 -3174474240 -13672914048 -21529737792 -14693280768 -3673320192", "new_number": "5.65", "id": 277, "operator_tex": "5^{2} \\theta^4-3 5 x\\left(333\\theta^4+882\\theta^3+781\\theta^2+340\\theta+60\\right)+2^{2} 3^{2} x^{2}\\left(5184\\theta^4+40662\\theta^3+71829\\theta^2+47700\\theta+11540\\right)+2^{2} 3^{5} x^{3}\\left(8424\\theta^4+9720\\theta^3-46899\\theta^2-63045\\theta-21260\\right)-2^{4} 3^{8} x^{4}\\left(1296\\theta^4+12312\\theta^3+23094\\theta^2+16263\\theta+3956\\right)-2^{6} 3^{11} x^{5}(3\\theta+2)(3\\theta+4)(6\\theta+5)(6\\theta+7)", "superseek": "63/5 14016/5", "discriminant": "5 25 -4995 186624 8188128 -136048896 -3673320192", "aesz": "273", "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "cf49bc645cb0404ce7bc9ca1d41d3152", "dim_h": null, "inst": " 63/5 -747/4 14016/5 -55584 6071598/5 -29280858 3789513648/5 -103572330372/5 2946639866493/5 -172753730633619/10", "cleanlist": "True", "n_sing_real": "4", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "4", "laurent": null, "discriminant_tex": "-(-1+27z)(108z+5)^2(108z-1)^2", "discr_factors": "-3673320192, (z+5/108)^2, (z-1/108)^2, -1/27+z", "dm_basis": null, "q": "0 1 -60 2916 -132140 5799354 -248943456 10506838262 -437619310824 18036699887331", "yuk": "1 63/5 -7407/5 75699 -17794287/5 758949813/5 -6324591123 1299803181327/5 -53029050944751/5 2148100463051892/5", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-5/108","im":"0","approx_re":"-0.0462962962963","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":"1/108","im":"0","approx_re":"0.00925925925926","approx_im":"0.0","exponents":["0","1/6","5/6","1"],"monodromy":[],"monodromy_dm":[]},{"re":"1/27","im":"0","approx_re":"0.037037037037","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":["2/3","5/6","7/6","4/3"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -2304*X^4-2880*X^3-2292*X^2-852*X-120, 2011392*X^4+4561920*X^3+4980096*X^2+2588544*X+455040, -842047488*X^4-2579890176*X^3-3289559040*X^2-1872211968*X-341729280, 170272751616*X^4+619173642240*X^3+840184233984*X^2+468680048640*X+83607552000, -1486016741376*(X+1)^2*(3*X+1)*(3*X+5)]", "text": "This is operator \"5.8\" from ...", "degz": 5, "h3": null, "sol": "1 120 34920 13157760 5790070440 2866877133120 1562496801465600 920528890348953600 576774234149057029800 379043061747351173515200", "n_discr_factors": "3", "c3": null, "operator": "4 5 0 0 0 0 1 -120 -852 -2292 -2880 -2304 455040 2588544 4980096 4561920 2011392 -341729280 -1872211968 -3289559040 -2579890176 -842047488 83607552000 468680048640 840184233984 619173642240 170272751616 -7430083706880 -41608468758528 -74300837068800 -53496602689536 -13374150672384", "new_number": "5.8", "id": 304, "operator_tex": "\\theta^4-2^{2} 3 x\\left(192\\theta^4+240\\theta^3+191\\theta^2+71\\theta+10\\right)+2^{7} 3^{2} x^{2}\\left(1746\\theta^4+3960\\theta^3+4323\\theta^2+2247\\theta+395\\right)-2^{12} 3^{4} x^{3}\\left(2538\\theta^4+7776\\theta^3+9915\\theta^2+5643\\theta+1030\\right)+2^{17} 3^{6} x^{4}\\left(1782\\theta^4+6480\\theta^3+8793\\theta^2+4905\\theta+875\\right)-2^{23} 3^{11} x^{5}(\\theta+1)^2(3\\theta+1)(3\\theta+5)", "superseek": "84 1522388/3", "discriminant": "5 1 -2304 2011392 -842047488 170272751616 -13374150672384", "aesz": "", "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "f4b2a154823e983e64682b48f6254a15", "dim_h": null, "inst": " 84 9210 1522388/3 120348978 19186016160 14337645775418/3 1105086275262876 300135253167886218 244741945783423164752/3 23794866517166874380880", "cleanlist": "True", "n_sing_real": "4", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "4", "laurent": null, "discriminant_tex": "-(-1+864z)(432z-1)^2(288z-1)^2", "discr_factors": "-13374150672384, (z-1/288)^2, -1/864+z, (z-1/432)^2", "dm_basis": null, "q": "0 1 -372 112734 -32614288 8813239341 -2352202637400 603766372001426 -155516566454839104 38705915538575348742", "yuk": "1 84 73764 13701576 7702408356 2398252020084 1032310509605352 379044592415166552 153669249629660151972 59472292825371842736312", "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":"1/864","im":"0","approx_re":"0.00115740740741","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/432","im":"0","approx_re":"0.00231481481481","approx_im":"0.0","exponents":["0","1/6","5/6","1"],"monodromy":[],"monodromy_dm":[]},{"re":"1/288","im":"0","approx_re":"0.00347222222222","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":["1/3","1","1","5/3"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, 333*X^4+558*X^3+507*X^2+228*X+42, 45522*X^4+124740*X^3+170694*X^2+109728*X+27144, 3682908*X^4+10655064*X^3+15441192*X^2+11696076*X+3267216, 215883144*X^4+584821296*X^3+604346832*X^2+326737800*X+67546224, 9183300480*X^4+25407131328*X^3+26736442416*X^2+8585252208*X-178879104, 275499014400*X^4+694257516288*X^3+918176992992*X^2+529417272672*X+111866204736, 5950778711040*X^4+15472024648704*X^3+17455617552384*X^2+9670015405440*X+2165422253184, 1785233613312*(X+1)^2*(6*X+5)*(6*X+7)]", "text": "This is operator \"8.71\" from ...", "degz": 8, "h3": null, "sol": "1 -42 2682 -200436 16310250 -1400554692 124801086564 -11424723191784 1067465530790442 -101347492002866340", "n_discr_factors": "4", "c3": null, "operator": "4 8 0 0 0 0 1 42 228 507 558 333 27144 109728 170694 124740 45522 3267216 11696076 15441192 10655064 3682908 67546224 326737800 604346832 584821296 215883144 -178879104 8585252208 26736442416 25407131328 9183300480 111866204736 529417272672 918176992992 694257516288 275499014400 2165422253184 9670015405440 17455617552384 15472024648704 5950778711040 62483176465920 253503173090304 383825226862080 257073640316928 64268410079232", "new_number": "8.71", "id": 520, "operator_tex": "\\theta^4+3 x\\left(111\\theta^4+186\\theta^3+169\\theta^2+76\\theta+14\\right)+2 3^{2} x^{2}\\left(2529\\theta^4+6930\\theta^3+9483\\theta^2+6096\\theta+1508\\right)+2^{2} 3^{4} x^{3}\\left(11367\\theta^4+32886\\theta^3+47658\\theta^2+36099\\theta+10084\\right)+2^{3} 3^{6} x^{4}\\left(37017\\theta^4+100278\\theta^3+103626\\theta^2+56025\\theta+11582\\right)+2^{4} 3^{9} x^{5}\\left(29160\\theta^4+80676\\theta^3+84897\\theta^2+27261\\theta-568\\right)+2^{5} 3^{12} x^{6}\\left(16200\\theta^4+40824\\theta^3+53991\\theta^2+31131\\theta+6578\\right)+2^{7} 3^{17} x^{7}\\left(360\\theta^4+936\\theta^3+1056\\theta^2+585\\theta+131\\right)+2^{9} 3^{20} x^{8}(\\theta+1)^2(6\\theta+5)(6\\theta+7)", "superseek": "-15 14044/3", "discriminant": "8 1 333 45522 3682908 215883144 9183300480 275499014400 5950778711040 64268410079232", "aesz": null, "n_sing_complex": "2", "inst_int": "", "c2h": null, "hash": "de469dbb89801caa07ec523e3b0e4772", "dim_h": null, "inst": " -15 39 14044/3 213069/2 462576 -197919131/3 -2791067118 -39839884932 4406567889568/3 105941893357989", "cleanlist": "True", "n_sing_real": "4", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "6", "laurent": null, "discriminant_tex": "(27z+1)(54z+1)(108z+1)^2(1944z^2+18z+1)^2", "discr_factors": "64268410079232, z+1/54, (z+1/108)^2, (z^2+1/108*z+1/1944)^2, z+1/27", "dm_basis": null, "q": "0 1 60 2736 102260 3082884 68872896 803338082 -12653698056 -754545356694", "yuk": "1 -15 297 126381 6818505 57821985 -14250050739 -957336021489 -20398014266679 1070795997291405", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/27","im":"0","approx_re":"-0.037037037037","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/54","im":"0","approx_re":"-0.0185185185185","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/108","im":"0","approx_re":"-0.00925925925926","approx_im":"0.0","exponents":["0","1/6","5/6","1"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/216","im":"-1/216*23^(1/2)","approx_re":"-0.00462962962963","approx_im":"-0.022203","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/216","im":"1/216*23^(1/2)","approx_re":"-0.00462962962963","approx_im":"0.022203","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":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["5/6","1","1","7/6"],"monodromy":[],"monodromy_dm":[]}]}]}