{"count": 10, "status":"OK", "data":[{"pols": "[X^4, -2*(2*X+1)^2*(13*X^2+13*X+4), -12*(2*X+1)*(3*X+2)*(3*X+4)*(2*X+3)]", "text": "A-incarnation: $X(1,1,1,1,2) \\subset  Grass(2,6)$", "degz": 2, "h3": "28", "sol": "1 8 288 15200 968800 68923008 5269660704 423919926144 35416227132000 3046522120928000", "n_discr_factors": "2", "c3": "-116", "operator": "4 2 0 0 0 0 1 -8 -58 -162 -208 -104 -288 -1416 -2436 -1728 -432", "new_number": "2.61", "id": 57, "operator_tex": "\\theta^4-2 x(2\\theta+1)^2(13\\theta^2+13\\theta+4)-2^{2} 3 x^{2}(2\\theta+1)(3\\theta+2)(3\\theta+4)(2\\theta+3)", "superseek": "10 1724", "discriminant": "2 1 -104 -432", "aesz": "26", "n_sing_complex": "0", "inst_int": "", "c2h": "76", "hash": "f3fc09474973b19b8bdb783e3322eb65", "dim_h": "11", "inst": " 10 191/2 1724 45680 1478214 54700117 15538355858/7 96420345432 4412026389850 420731987451785/2", "cleanlist": "True", "n_sing_real": "3", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "3", "laurent": null, "discriminant_tex": "-(4z+1)(108z-1)", "discr_factors": "-432, z-1/108, z+1/4", "dm_basis": ["-116*lambda", "47/6", "1", "1", "-19/6", "-14", "-1", "0", "0", "28", "0", "0", "-28", "0", "0", "0"], "q": "0 1 -26 121 -1372 -68612 -2386858 -114302870 -5530073512 -279569669756", "yuk": "1 10 774 46558 2924294 184776760 11815272594 761379437052 49367219785478 3216367238247208", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/4","im":"0","approx_re":"-0.25","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":["20/3+464*lambda","-17/6-232*lambda","1.0456349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349+.414911827*I","-.241563519-.227532292*I","62/3","-28/3","961/252","-1.0456349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349-.414911827*I","56","-28","34/3","-17/6-232*lambda","112","-56","62/3","-14/3-464*lambda"],"monodromy_dm":["-11","-80","-6","-4","6","41","3","2","-108","-720","-53","-36","78","520","39","27"]},{"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","28","1","0","0","0","1","1"]},{"re":"1/108","im":"0","approx_re":"0.00925925925926","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":["1+116*lambda","0",".63575199e-1*I","79/7000","19/6","1","361/1008","-.63575199e-1*I","0","0","1","0","28","0","19/6","1-116*lambda"],"monodromy_dm":["1","-11","-1","-1","0","1","0","0","0","0","1","0","0","0","0","1"]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1/2","2/3","4/3","3/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -396*X^4-312*X^3-260*X^2-104*X-16, 60032*X^4+88448*X^3+81216*X^2+35456*X+5888, -4271104*X^4-8945664*X^3-8898560*X^2-4042752*X-696320, 163840*(2*X+1)*(418*X^3+951*X^2+846*X+260), -39321600*(2*X+1)*(3*X+2)*(3*X+4)*(2*X+3)]", "text": "This is operator \"5.108\" from ...", "degz": 5, "h3": "64", "sol": "1 16 720 44800 3245200 256386816 21423257856 1861674946560 166539035005200 15234386035897600", "n_discr_factors": "3", "c3": "-36", "operator": "4 5 0 0 0 0 1 -16 -104 -260 -312 -396 5888 35456 81216 88448 60032 -696320 -4042752 -8898560 -8945664 -4271104 42598400 223805440 433029120 380108800 136970240 -943718400 -4639948800 -7982284800 -5662310400 -1415577600", "new_number": "5.108", "id": 190, "operator_tex": "\\theta^4-2^{2} x\\left(99\\theta^4+78\\theta^3+65\\theta^2+26\\theta+4\\right)+2^{6} x^{2}\\left(938\\theta^4+1382\\theta^3+1269\\theta^2+554\\theta+92\\right)-2^{10} x^{3}\\left(4171\\theta^4+8736\\theta^3+8690\\theta^2+3948\\theta+680\\right)+2^{15} 5 x^{4}(2\\theta+1)(418\\theta^3+951\\theta^2+846\\theta+260)-2^{19} 3 5^{2} x^{5}(2\\theta+1)(3\\theta+2)(3\\theta+4)(2\\theta+3)", "superseek": "4 1268", "discriminant": "5 1 -396 60032 -4271104 136970240 -1415577600", "aesz": "365", "n_sing_complex": "0", "inst_int": "", "c2h": "112", "hash": "f84624e83cd4eb2cc90693bd5627efcf", "dim_h": "20", "inst": " 4 107/2 1268 89439/4 396908 15177407/2 157176420 14114736207/4 86763346976 4638040656201/2", "cleanlist": "True", "n_sing_real": "5", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "5", "laurent": null, "discriminant_tex": "-(108z-1)(2048z^2-128z+1)(-1+80z)^2", "discr_factors": "-1415577600, (-1/80+z)^2, z-1/108, z^2-1/16*z+1/2048", "dm_basis": null, "q": "0 1 -40 832 -14592 262032 -3793664 56464896 -757760000 10626762520", "yuk": "1 4 432 34240 1431456 49613504 1639194624 53911512064 1806687665952 63250479979744", "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":"1/32-1/64*2^(1/2)","im":"0","approx_re":"0.009153","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","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/80","im":"0","approx_re":"0.0125","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"1/32+1/64*2^(1/2)","im":"0","approx_re":"0.053347","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","2/3","4/3","3/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[25*X^4, 200+2435*X^4+4390*X^3+3545*X^2+1350*X, 8960+32416*X^4+84448*X^3+94176*X^2+48640*X, -1341440-555264*X^4-3809280*X^3-7881984*X^2-5744640*X, -4096*(2*X+1)*(518*X^3+2397*X^2+2940*X+1048), -196608*(2*X+1)*(3*X+2)*(3*X+4)*(2*X+3)]", "text": "This is operator \"5.113\" from ...", "degz": 5, "h3": "40", "sol": "1 -8 216 -8000 359800 -18119808 984481344 -56406924288 3361129457400 -206391102632000", "n_discr_factors": "3", "c3": "-116", "operator": "4 5 0 0 0 0 25 200 1350 3545 4390 2435 8960 48640 94176 84448 32416 -1341440 -5744640 -7881984 -3809280 -555264 -4292608 -20627456 -33902592 -21757952 -4243456 -4718592 -23199744 -39911424 -28311552 -7077888", "new_number": "5.113", "id": 196, "operator_tex": "5^{2} \\theta^4+5 x\\left(487\\theta^4+878\\theta^3+709\\theta^2+270\\theta+40\\right)+2^{5} x^{2}\\left(1013\\theta^4+2639\\theta^3+2943\\theta^2+1520\\theta+280\\right)-2^{8} x^{3}\\left(2169\\theta^4+14880\\theta^3+30789\\theta^2+22440\\theta+5240\\right)-2^{12} x^{4}(2\\theta+1)(518\\theta^3+2397\\theta^2+2940\\theta+1048)-2^{16} 3 x^{5}(2\\theta+1)(3\\theta+2)(3\\theta+4)(2\\theta+3)", "superseek": "-29/5 -1481/5", "discriminant": "5 25 2435 32416 -555264 -4243456 -7077888", "aesz": "403\n", "n_sing_complex": "0", "inst_int": "", "c2h": "64", "hash": "492c8a69e87d470c87b9557834f0fc5b", "dim_h": "12", "inst": " -29/5 229/5 -1481/5 43173/5 -155267 20755686/5 -522832342/5 3084982763 -456385490902/5 2890433835829", "cleanlist": "True", "n_sing_real": "5", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "5", "laurent": null, "discriminant_tex": "-(27z+1)(1024z^2-64z-1)(5+16z)^2", "discr_factors": "-7077888, z+1/27, (5/16+z)^2, z^2-1/16*z-1/1024", "dm_basis": null, "q": "0 1 22 173 88 -50970 -542658 -16846494 153347488 -8771135821", "yuk": "1 -29/5 1803/5 -40016/5 552975 -97041904/5 4483189992/5 -35866298667 1579511727631 -332705022907574/5", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-5/16","im":"0","approx_re":"-0.3125","approx_im":"0.0","exponents":["0","1","3","4"],"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":"1/32-1/32*2^(1/2)","im":"0","approx_re":"-0.012944","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":"1/32+1/32*2^(1/2)","im":"0","approx_re":"0.075444","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","2/3","4/3","3/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -25515*X^4+1458*X^3-2349*X^2-3078*X-612, 238085568*X^4+72275976*X^3+155653164*X^2+47711592*X+5038848, -1004193907488*X^4-1227348109152*X^3-1228897791108*X^2-531540910908*X-90225927216, 13556617751088*(2*X+1)*(72*X^3+144*X^2+121*X+36), -39531097362172608*(2*X+1)*(3*X+2)*(3*X+4)*(2*X+3)]", "text": "This is operator \"5.115\" from ...", "degz": 5, "h3": null, "sol": "1 612 836244 1455469200 2860801391700 6059421423960912 13508588989452254544 31266101362632688176768 74474712760002295678809300 181468924393263390531729853200", "n_discr_factors": "3", "c3": null, "operator": "4 5 0 0 0 0 1 -612 -3078 -2349 1458 -25515 5038848 47711592 155653164 72275976 238085568 -90225927216 -531540910908 -1228897791108 -1227348109152 -1004193907488 488038239039168 2616427225959984 5232854451919968 4880382390391680 1952152956156672 -948746336692142592 -4664669488736367744 -8024812764521039424 -5692478020152855552 -1423119505038213888", "new_number": "5.115", "id": 198, "operator_tex": "\\theta^4-3^{2} x\\left(2835\\theta^4-162\\theta^3+261\\theta^2+342\\theta+68\\right)+2^{2} 3^{9} x^{2}\\left(3024\\theta^4+918\\theta^3+1977\\theta^2+606\\theta+64\\right)-2^{2} 3^{16} x^{3}\\left(5832\\theta^4+7128\\theta^3+7137\\theta^2+3087\\theta+524\\right)+2^{4} 3^{25} x^{4}(2\\theta+1)(72\\theta^3+144\\theta^2+121\\theta+36)-2^{6} 3^{31} x^{5}(2\\theta+1)(3\\theta+2)(3\\theta+4)(2\\theta+3)", "superseek": "-3843 -2715123387", "discriminant": "5 1 -25515 238085568 -1004193907488 1952152956156672 -1423119505038213888", "aesz": "413", "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "2cc16ba9e49744872ae72bfd6b36d064", "dim_h": null, "inst": " -3843 -9668061/4 -2715123387 -3984527414448 -6798579266503881 -51123042830089032933/4 -25706383183809995205276 -54343845169575769245295944 -119359400309804811454246198794 -1080842876017895839905897842260215/4", "cleanlist": "True", "n_sing_real": "4", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "4", "laurent": null, "discriminant_tex": "-(-1+2187z)(8748z-1)^2(2916z-1)^2", "discr_factors": "-1423119505038213888, -1/2187+z, (z-1/2916)^2, (z-1/8748)^2", "dm_basis": null, "q": "0 1 -630 416421 126112308 548463737790 1170888390400770 2799731368218348252 6801167133946470946392 16882302608144936756393337", "yuk": "1 -3843 -19339965 -73308335292 -255009773864637 -849822408312988968 -2760644312898135449796 -8817289432046828355413511 -27824048726823048863365387965 -87013002825847707550218787256118", "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":"1/8748","im":"0","approx_re":"0.000114311842707","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"1/2916","im":"0","approx_re":"0.000342935528121","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"1/2187","im":"0","approx_re":"0.000457247370828","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","2/3","4/3","3/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -3*X*(2+11*X+18*X^2+27*X^3), -3456-17820*X-32562*X^2-22356*X^3-3888*X^4, -178848-688176*X-699840*X^2+90396*X^4, 17496*(2*X+1)*(54*X^3+405*X^2+544*X+200), -944784*(2*X+1)*(3*X+2)*(3*X+4)*(2*X+3)]", "text": "This is operator \"5.33\" from ...", "degz": 5, "h3": "18", "sol": "1 0 216 7200 567000 38102400 2992096800 239740300800 20126947440600 1733218043356800", "n_discr_factors": "4", "c3": "-52", "operator": "4 5 0 0 0 0 1 0 -6 -33 -54 -81 -3456 -17820 -32562 -22356 -3888 -178848 -688176 -699840 0 90396 3499200 16516224 26121528 15116544 1889568 -22674816 -111484512 -191791152 -136048896 -34012224", "new_number": "5.33", "id": 242, "operator_tex": "\\theta^4-3 x\\theta(2+11\\theta+18\\theta^2+27\\theta^3)-2 3^{3} x^{2}\\left(72\\theta^4+414\\theta^3+603\\theta^2+330\\theta+64\\right)+2^{2} 3^{5} x^{3}\\left(93\\theta^4-720\\theta^2-708\\theta-184\\right)+2^{3} 3^{7} x^{4}(2\\theta+1)(54\\theta^3+405\\theta^2+544\\theta+200)-2^{4} 3^{10} x^{5}(2\\theta+1)(3\\theta+2)(3\\theta+4)(2\\theta+3)", "superseek": "9 14201/3", "discriminant": "5 1 -81 -3888 90396 1889568 -34012224", "aesz": "216", "n_sing_complex": "0", "inst_int": "", "c2h": "48", "hash": "af7027bf24acce4fd0ed5b09e575e2a5", "dim_h": "7", "inst": " 9 225 14201/3 154800 6298596 891120368/3 15388571196 854854622028 150149352094538/3 3054637162639620", "cleanlist": "True", "n_sing_real": "5", "sol_explicit": "", "n_sing_rational": "5", "n_sing": "5", "laurent": null, "discriminant_tex": "-(27z+1)(108z-1)(36z+1)(-1+18z)^2", "discr_factors": "-34012224, z+1/36, (-1/18+z)^2, z+1/27, z-1/108", "dm_basis": null, "q": "0 1 -6 -693 -12452 -197823 -12446514 -891867937 -56452162728 -3600417678813", "yuk": "1 9 1809 127818 9909009 787324509 64160796114 5278279920237 437685576387345 36486292559100552", "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":"-1/36","im":"0","approx_re":"-0.0277777777778","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":"1/108","im":"0","approx_re":"0.00925925925926","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/18","im":"0","approx_re":"0.0555555555556","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":["1/2","2/3","4/3","3/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[49*X^4, -588-4410*X-12726*X^2-16632*X^3-8064*X^4, 29232+145824*X+245172*X^2+140832*X^3+14256*X^4, -111888-413532*X-373140*X^2+54432*X^3+57456*X^4, -1296*(2*X+1)*(36*X^3+306*X^2+421*X+156), -5184*(2*X+1)*(3*X+2)*(3*X+4)*(2*X+3)]", "text": "This is operator \"5.35\" from ...", "degz": 5, "h3": "21", "sol": "1 12 612 48000 4580100 489171312 56221460064 6803598694464 855427705575300 110773656896588400", "n_discr_factors": "2", "c3": "-100", "operator": "4 5 0 0 0 0 49 -588 -4410 -12726 -16632 -8064 29232 145824 245172 140832 14256 -111888 -413532 -373140 54432 57456 -202176 -949968 -1487808 -839808 -93312 -124416 -611712 -1052352 -746496 -186624", "new_number": "5.35", "id": 244, "operator_tex": "7^{2} \\theta^4-2 3 7 x\\left(192\\theta^4+396\\theta^3+303\\theta^2+105\\theta+14\\right)+2^{2} 3 x^{2}\\left(1188\\theta^4+11736\\theta^3+20431\\theta^2+12152\\theta+2436\\right)+2^{2} 3^{3} x^{3}\\left(532\\theta^4+504\\theta^3-3455\\theta^2-3829\\theta-1036\\right)-2^{4} 3^{4} x^{4}(2\\theta+1)(36\\theta^3+306\\theta^2+421\\theta+156)-2^{6} 3^{4} x^{5}(2\\theta+1)(3\\theta+2)(3\\theta+4)(2\\theta+3)", "superseek": "138/7 42984/7", "discriminant": "5 49 -8064 14256 57456 -93312 -186624", "aesz": "218", "n_sing_complex": "2", "inst_int": "", "c2h": "66", "hash": "a76111af659715caf2c4344eedd9d678", "dim_h": "9", "inst": " 138/7 1506/7 42984/7 235596 78950334/7 4311467320/7 258386346378/7 16576489470036/7 3361119367433372/21 78908087793620790/7", "cleanlist": "True", "n_sing_real": "3", "sol_explicit": "", "n_sing_rational": "2", "n_sing": "5", "laurent": null, "discriminant_tex": "-(1296z^3-864z^2+168z-1)(7+12z)^2", "discr_factors": "-186624, (7/12+z)^2, z^3-2/3*z^2+7/54*z-1/1296", "dm_basis": null, "q": "0 1 -42 573 -13784 -136254 -18358578 -1105132514 -81272201832 -6045671622591", "yuk": "1 138/7 12186/7 1160706/7 105559194/7 9868791888/7 931278113874/7 88626516807792/7 8487162714217626/7 816752006287470102/7", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-7/12","im":"0","approx_re":"-0.583333333333","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*(142+34*17^(1/2))^(1/3)-2/9/(142+34*17^(1/2))^(1/3)+2/9","im":"0","approx_re":"0.006145","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/72*(142+34*17^(1/2))^(1/3)+1/9/(142+34*17^(1/2))^(1/3)+2/9","im":"1/12*3^(1/2)*(-1/6*(142+34*17^(1/2))^(1/3)+4/3/(142+34*17^(1/2))^(1/3))","approx_re":"0.330261","approx_im":"-0.128447","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/72*(142+34*17^(1/2))^(1/3)+1/9/(142+34*17^(1/2))^(1/3)+2/9","im":"-1/12*3^(1/2)*(-1/6*(142+34*17^(1/2))^(1/3)+4/3/(142+34*17^(1/2))^(1/3))","approx_re":"0.330261","approx_im":"0.128447","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1/2","2/3","4/3","3/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[25*X^4, -3785*X^4-6490*X^3-5245*X^2-2000*X-300, 196416*X^4+629928*X^3+796356*X^2+429840*X+84240, -4901472*X^4-22044960*X^3-36343404*X^2-23925780*X-5307120, 104976*(2*X+1)*(216*X^3+864*X^2+1015*X+356), -3779136*(2*X+1)*(3*X+2)*(3*X+4)*(2*X+3)]", "text": "This is operator \"5.66\" from ...", "degz": 5, "h3": null, "sol": "1 12 324 12000 548100 28767312 1645769664 99394371648 6230457476100 401731786513200", "n_discr_factors": "3", "c3": null, "operator": "4 5 0 0 0 0 25 -300 -2000 -5245 -6490 -3785 84240 429840 796356 629928 196416 -5307120 -23925780 -36343404 -22044960 -4901472 37371456 181293552 303800544 204073344 45349632 -90699264 -445938048 -767164608 -544195584 -136048896", "new_number": "5.66", "id": 278, "operator_tex": "5^{2} \\theta^4-5 x\\left(757\\theta^4+1298\\theta^3+1049\\theta^2+400\\theta+60\\right)+2^{2} 3^{2} x^{2}\\left(5456\\theta^4+17498\\theta^3+22121\\theta^2+11940\\theta+2340\\right)-2^{2} 3^{4} x^{3}\\left(15128\\theta^4+68040\\theta^3+112171\\theta^2+73845\\theta+16380\\right)+2^{4} 3^{8} x^{4}(2\\theta+1)(216\\theta^3+864\\theta^2+1015\\theta+356)-2^{6} 3^{10} x^{5}(2\\theta+1)(3\\theta+2)(3\\theta+4)(2\\theta+3)", "superseek": "49/5 6032/15", "discriminant": "5 25 -3785 196416 -4901472 45349632 -136048896", "aesz": "274", "n_sing_complex": "2", "inst_int": "", "c2h": null, "hash": "729d44a3b7b561b49603f26a25d26069", "dim_h": null, "inst": " 49/5 -68/5 6032/15 36276/5 350082/5 26161264/15 274004448/5 6603998596/5 97583032357/3 4784860673996/5", "cleanlist": "True", "n_sing_real": "3", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "5", "laurent": null, "discriminant_tex": "-(81z-1)(1296z^2-56z+1)(-5+36z)^2", "discr_factors": "-136048896, z-1/81, z^2-7/162*z+1/1296, (-5/36+z)^2", "dm_basis": null, "q": "0 1 -32 804 -20180 436314 -9036624 170450550 -3377965032 57874309731", "yuk": "1 49/5 -99 54337/5 2321169/5 43760299/5 1883664801/5 93983525713/5 3381249602321/5 118563384368092/5", "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":"1/81","im":"0","approx_re":"0.0123456790123","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"7/324","im":"-1/81*2^(1/2)","approx_re":"0.0216049382716","approx_im":"-0.017459","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"7/324","im":"1/81*2^(1/2)","approx_re":"0.0216049382716","approx_im":"0.017459","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"5/36","im":"0","approx_re":"0.138888888889","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":["1/2","2/3","4/3","3/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -40*X^4-200*X^3-156*X^2-56*X-8, 2832*X^4+18528*X^3+32112*X^2+18528*X+3680, 137984*X^4+344064*X^3-76800*X^2-273408*X-87040, 5120*(2*X+1)*(4*X^3-642*X^2-1002*X-385), -614400*(2*X+1)*(3*X+2)*(3*X+4)*(2*X+3)]", "text": "This is operator \"5.96\" from ...", "degz": 5, "h3": "128", "sol": "1 8 0 -6400 -249200 1185408 625895424 28703600640 -241931804400 -99245049904000", "n_discr_factors": "2", "c3": "-296", "operator": "4 5 0 0 0 0 1 -8 -56 -156 -200 -40 3680 18528 32112 18528 2832 -87040 -273408 -76800 344064 137984 -1971200 -9072640 -13547520 -6553600 40960 -14745600 -72499200 -124723200 -88473600 -22118400", "new_number": "5.96", "id": 311, "operator_tex": "\\theta^4-2^{2} x\\left(10\\theta^4+50\\theta^3+39\\theta^2+14\\theta+2\\right)+2^{4} x^{2}\\left(177\\theta^4+1158\\theta^3+2007\\theta^2+1158\\theta+230\\right)+2^{8} x^{3}\\left(539\\theta^4+1344\\theta^3-300\\theta^2-1068\\theta-340\\right)+2^{10} 5 x^{4}(2\\theta+1)(4\\theta^3-642\\theta^2-1002\\theta-385)-2^{13} 3 5^{2} x^{5}(2\\theta+1)(3\\theta+2)(3\\theta+4)(2\\theta+3)", "superseek": "12 28", "discriminant": "5 1 -40 2832 137984 40960 -22118400", "aesz": "339", "n_sing_complex": "2", "inst_int": "", "c2h": "176", "hash": "41593acc689cf76c174442db98218947", "dim_h": "36", "inst": " 12 -339/2 28 27639/2 634692 -22363927/2 -507858132 10054325355/4 625707488416 8830606337727/2", "cleanlist": "True", "n_sing_real": "3", "sol_explicit": "", "n_sing_rational": "2", "n_sing": "5", "laurent": null, "discriminant_tex": "-(55296z^3-5632z^2+80z-1)(1+20z)^2", "discr_factors": "-22118400, z^3-11/108*z^2+5/3456*z-1/55296, (1/20+z)^2", "dm_basis": null, "q": "0 1 -24 960 -25088 629904 -18382080 525048832 -11477385216 269713716504", "yuk": "1 12 -1344 768 883104 79336512 -2415304704 -174195339264 1286954528544 456140759056032", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/20","im":"0","approx_re":"-0.05","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":"-1/2592*(51407+4617*57^(1/2))^(1/3)-563/1296/(51407+4617*57^(1/2))^(1/3)+11/324","im":"-1/16*3^(1/2)*(1/162*(51407+4617*57^(1/2))^(1/3)-563/81/(51407+4617*57^(1/2))^(1/3))","approx_re":"0.007072","approx_im":"-0.012497","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/2592*(51407+4617*57^(1/2))^(1/3)-563/1296/(51407+4617*57^(1/2))^(1/3)+11/324","im":"1/16*3^(1/2)*(1/162*(51407+4617*57^(1/2))^(1/3)-563/81/(51407+4617*57^(1/2))^(1/3))","approx_re":"0.007072","approx_im":"0.012497","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/1296*(51407+4617*57^(1/2))^(1/3)+563/648/(51407+4617*57^(1/2))^(1/3)+11/324","im":"0","approx_re":"0.087707","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","2/3","4/3","3/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[9*X^4, -1488*X^4-12768*X^3-9228*X^2-2844*X-360, -1035776*X^4-748544*X^3+2838400*X^2+1775232*X+352128, -22167552*X^4+378372096*X^3+276926464*X^2+63959040*X+393216, 2228224*(2*X+1)*(2242*X^3+1419*X^2-1047*X-733), -7272923136*(2*X+1)*(3*X+2)*(3*X+4)*(2*X+3)]", "text": "This is operator \"5.97\" from ...", "degz": 5, "h3": null, "sol": "1 40 4968 976000 240389800 67148706240 20301830841600 6481911462174720 2153831766691948200 737890250899739080000", "n_discr_factors": "4", "c3": null, "operator": "4 5 0 0 0 0 9 -360 -2844 -9228 -12768 -1488 352128 1775232 2838400 -748544 -1035776 393216 63959040 276926464 378372096 -22167552 -1633288192 -5599526912 -1504051200 11319377920 9991356416 -174550155264 -858204930048 -1476403396608 -1047300931584 -261825232896", "new_number": "5.97", "id": 312, "operator_tex": "3^{2} \\theta^4-2^{2} 3 x\\left(124\\theta^4+1064\\theta^3+769\\theta^2+237\\theta+30\\right)-2^{7} x^{2}\\left(8092\\theta^4+5848\\theta^3-22175\\theta^2-13869\\theta-2751\\right)-2^{12} x^{3}\\left(5412\\theta^4-92376\\theta^3-67609\\theta^2-15615\\theta-96\\right)+2^{17} 17 x^{4}(2\\theta+1)(2242\\theta^3+1419\\theta^2-1047\\theta-733)-2^{23} 3 17^{2} x^{5}(2\\theta+1)(3\\theta+2)(3\\theta+4)(2\\theta+3)", "superseek": "484/3 819404/3", "discriminant": "5 9 -1488 -1035776 -22167552 9991356416 -261825232896", "aesz": "340", "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "2775f87d96d6e9710faad170157dd033", "dim_h": null, "inst": " 484/3 -2053 819404/3 -14598094/3 5541353504/3 56514106075/3 67362931959500/3 1327385409465790 403696236338416400 43951663480396291480", "cleanlist": "True", "n_sing_real": "5", "sol_explicit": "", "n_sing_rational": "5", "n_sing": "5", "laurent": null, "discriminant_tex": "-(432z-1)(64z-1)(32z-1)(3+544z)^2", "discr_factors": "-261825232896, z-1/32, z-1/64, z-1/432, (3/544+z)^2", "dm_basis": null, "q": "0 1 -156 17886 -2257456 267596589 -34408587144 4080266552082 -542300537850816 62701101236389638", "yuk": "1 484/3 -48788/3 22124392/3 -311442268 692669188484/3 12207068987320/3 7701828554036328 679621329335042212 882883668872138791192/3", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-3/544","im":"0","approx_re":"-0.00551470588235","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":"1/432","im":"0","approx_re":"0.00231481481481","approx_im":"0.0","exponents":["0","1","1","2"],"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":"1/32","im":"0","approx_re":"0.03125","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","2/3","4/3","3/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[169*X^4, -15821*X^4-19162*X^3-14651*X^2-5070*X-676, -82144*X^4-1343296*X^3-2272384*X^2-1337856*X-265200, 9119488*X^4+36162048*X^3+38695360*X^2+17269824*X+2820480, -10240*(2*X+1)*(4324*X^3+10698*X^2+9903*X+3110), 4915200*(2*X+1)*(3*X+2)*(3*X+4)*(2*X+3)]", "text": "This is operator \"5.98\" from ...", "degz": 5, "h3": null, "sol": "1 4 180 7600 433300 26523504 1760408496 122456917440 8849508138900 658069964266000", "n_discr_factors": "3", "c3": null, "operator": "4 5 0 0 0 0 169 -676 -5070 -14651 -19162 -15821 -265200 -1337856 -2272384 -1343296 -82144 2820480 17269824 38695360 36162048 9119488 -31846400 -165099520 -312360960 -263372800 -88555520 117964800 579993600 997785600 707788800 176947200", "new_number": "5.98", "id": 313, "operator_tex": "13^{2} \\theta^4-13 x\\left(1217\\theta^4+1474\\theta^3+1127\\theta^2+390\\theta+52\\right)-2^{4} x^{2}\\left(5134\\theta^4+83956\\theta^3+142024\\theta^2+83616\\theta+16575\\right)+2^{6} x^{3}\\left(142492\\theta^4+565032\\theta^3+604615\\theta^2+269841\\theta+44070\\right)-2^{11} 5 x^{4}(2\\theta+1)(4324\\theta^3+10698\\theta^2+9903\\theta+3110)+2^{16} 3 5^{2} x^{5}(2\\theta+1)(3\\theta+2)(3\\theta+4)(2\\theta+3)", "superseek": "87/13 21589/13", "discriminant": "5 169 -15821 -82144 9119488 -88555520 176947200", "aesz": "341", "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "eed12a307d671fcf681b9d108c5e4c9e", "dim_h": null, "inst": " 87/13 1532/13 21589/13 589110/13 17749920/13 652121660/13 25606888578/13 1088305023982/13 48500571351604/13 2257264405232620/13", "cleanlist": "True", "n_sing_real": "5", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "5", "laurent": null, "discriminant_tex": "(27z+1)(256z^2-96z+1)(-13+160z)^2", "discr_factors": "176947200, z+1/27, z^2-3/8*z+1/256, (-13/160+z)^2", "dm_basis": null, "q": "0 1 -14 -301 736 -52635 -3014442 -134862035 -6142738464 -304565522449", "yuk": "1 87/13 12343/13 582990/13 37715383/13 2218740087/13 140858873806/13 8783162782341/13 42862477691859 2719762808915562", "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":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"3/16-1/8*2^(1/2)","im":"0","approx_re":"0.010723","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"13/160","im":"0","approx_re":"0.08125","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"3/16+1/8*2^(1/2)","im":"0","approx_re":"0.364277","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","2/3","4/3","3/2"],"monodromy":[],"monodromy_dm":[]}]}]}