{"count": 6, "status":"OK", "data":[{"pols": "[X^4, -912*X^4-1824*X^3-1540*X^2-628*X-104, 2048*(X+1)^2*(132*X^2+264*X+109), -6553600*(X+1)*(X+2)*(2*X+1)*(2*X+5)]", "text": "This is operator \"3.17\" from ...", "degz": 3, "h3": "12", "sol": "1 104 18600 3925760 906368680 222749440704 57562268096256 15541087025418240 4366013175750231720 1272142436194984228160", "n_discr_factors": "2", "c3": "80", "operator": "4 3 0 0 0 0 1 -104 -628 -1540 -1824 -912 223232 987136 1574912 1081344 270336 -65536000 -255590400 -321126400 -157286400 -26214400", "new_number": "3.17", "id": 77, "operator_tex": "\\theta^4-2^{2} x\\left(228\\theta^4+456\\theta^3+385\\theta^2+157\\theta+26\\right)+2^{11} x^{2}(\\theta+1)^2(132\\theta^2+264\\theta+109)-2^{18} 5^{2} x^{3}(\\theta+1)(\\theta+2)(2\\theta+1)(2\\theta+5)", "superseek": "68 125636/3", "discriminant": "3 1 -912 270336 -26214400", "aesz": "387", "n_sing_complex": "0", "inst_int": "", "c2h": "24", "hash": "06864aab02693f4b84eb494138bb3428", "dim_h": "4", "inst": " 68 204 125636/3 841384 123715360 6684183300 733643578092 60209440521080 18981546511013648/3 622264120727284960", "cleanlist": "True", "n_sing_real": "3", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "3", "laurent": null, "discriminant_tex": "-(400z-1)(-1+256z)^2", "discr_factors": "-26214400, z-1/400, (-1/256+z)^2", "dm_basis": ["80*lambda", "3", "1", "1", "-1", "-6", "-1", "0", "0", "12", "0", "0", "-12", "0", "0", "0"], "q": "0 1 -212 38622 -6606224 1078429485 -171109302936 26547238818834 -4053702590226240 610863748603039494", "yuk": "1 68 1700 1130792 53850276 15464420068 1443784725224 251639747285624 30827233600643236 4612515802177447256", "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":"1/400","im":"0","approx_re":"0.0025","approx_im":"0.0","exponents":["0","1","1","2"],"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":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1/2","1","2","5/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -12-64*X-125*X^2-122*X^3-61*X^4, -576-4176*X-8264*X^2-6176*X^3-1544*X^4, 622080+2414592*X+2823168*X^2+1345536*X^3+224256*X^4, -51609600-174735360*X-164007936*X^2-60162048*X^3-7520256*X^4, 1769472*(16*X^2+80*X+35)*(2*X+5)^2, -42467328*(2*X+11)*(2*X+7)*(2*X+5)*(2*X+1)]", "text": "This is operator \"6.5\" from ...", "degz": 6, "h3": null, "sol": "1 12 324 5760 215460 2549232 200116224 -782825472 277853698980 -7114516952400", "n_discr_factors": "3", "c3": null, "operator": "4 6 0 0 0 0 1 -12 -64 -125 -122 -61 -576 -4176 -8264 -6176 -1544 622080 2414592 2823168 1345536 224256 -51609600 -174735360 -164007936 -60162048 -7520256 1548288000 4777574400 3786670080 1132462080 113246208 -16349921280 -46883930112 -32275169280 -8153726976 -679477248", "new_number": "6.5", "id": 427, "operator_tex": "\\theta^4-x\\left(12+64\\theta+125\\theta^2+122\\theta^3+61\\theta^4\\right)-2^{3} x^{2}\\left(193\\theta^4+772\\theta^3+1033\\theta^2+522\\theta+72\\right)+2^{9} 3 x^{3}\\left(146\\theta^4+876\\theta^3+1838\\theta^2+1572\\theta+405\\right)-2^{12} 3^{2} x^{4}\\left(204\\theta^4+1632\\theta^3+4449\\theta^2+4740\\theta+1400\\right)+2^{16} 3^{3} x^{5}(16\\theta^2+80\\theta+35)(2\\theta+5)^2-2^{19} 3^{4} x^{6}(2\\theta+11)(2\\theta+7)(2\\theta+5)(2\\theta+1)", "superseek": "-11 -3422/3", "discriminant": "6 1 -61 -1544 224256 -7520256 113246208 -679477248", "aesz": null, "n_sing_complex": "2", "inst_int": "", "c2h": null, "hash": "6a4aeb5833b7673c962d5598842d3f2c", "dim_h": null, "inst": " -11 68 -3422/3 30735 -1014993 37434552 -1486568559 62556815721 -8291619038429/3 127231570499928", "cleanlist": "True", "n_sing_real": "4", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "6", "laurent": null, "discriminant_tex": "-(24z-1)(27648z^3-1728z^2+27z+1)(-1+32z)^2", "discr_factors": "-679477248, z-1/24, (-1/32+z)^2, z^3-1/16*z^2+1/1024*z+1/27648", "dm_basis": null, "q": "0 1 -16 -114 20776 -936859 27143952 -486221306 1441150448 149478220674", "yuk": "1 -11 533 -30809 1967573 -126874136 8085832967 -509893015748 32029091616725 -2014863426369056", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/96*(17+12*2^(1/2))^(1/3)-1/96/(17+12*2^(1/2))^(1/3)+1/48","im":"0","approx_re":"-0.016119","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","im":"0","approx_re":"0.03125","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"1/192*(17+12*2^(1/2))^(1/3)+1/192/(17+12*2^(1/2))^(1/3)+1/48","im":"1/6*3^(1/2)*(-1/32*(17+12*2^(1/2))^(1/3)+1/32/(17+12*2^(1/2))^(1/3))","approx_re":"0.03931","approx_im":"-0.026431","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/192*(17+12*2^(1/2))^(1/3)+1/192/(17+12*2^(1/2))^(1/3)+1/48","im":"-1/6*3^(1/2)*(-1/32*(17+12*2^(1/2))^(1/3)+1/32/(17+12*2^(1/2))^(1/3))","approx_re":"0.03931","approx_im":"0.026431","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/24","im":"0","approx_re":"0.0416666666667","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","5/2","7/2","11/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[25*X^4, -10*X*(15+71*X+112*X^2+38*X^3), -24000-77440*X-98716*X^2-63488*X^3-17456*X^4, 118800+126720*X-74160*X^2-161280*X^3-66240*X^4, 8475840+20583936*X+17368704*X^2+6045696*X^3+707328*X^4, 41472*(X+1)*(38*X^3+74*X^2-304*X-495), -82944*(2*X+13)*(2*X+3)*(17*X+39)*(X+1), -2985984*(X+1)*(2*X+5)*(2*X+3)*(X+3)]", "text": "This is operator \"7.16\" from ...", "degz": 7, "h3": null, "sol": "1 0 60 480 16524 332640 9211920 241315200 6825804300 195543163200", "n_discr_factors": "4", "c3": null, "operator": "4 7 0 0 0 0 25 0 -150 -710 -1120 -380 -24000 -77440 -98716 -63488 -17456 118800 126720 -74160 -161280 -66240 8475840 20583936 17368704 6045696 707328 -20528640 -33136128 -9538560 4644864 1575936 -126157824 -284663808 -216566784 -63700992 -5640192 -134369280 -322486272 -271724544 -95551488 -11943936", "new_number": "7.16", "id": 438, "operator_tex": "5^{2} \\theta^4-2 5 x\\theta(15+71\\theta+112\\theta^2+38\\theta^3)-2^{2} x^{2}\\left(4364\\theta^4+15872\\theta^3+24679\\theta^2+19360\\theta+6000\\right)-2^{4} 3^{2} 5 x^{3}\\left(92\\theta^4+224\\theta^3+103\\theta^2-176\\theta-165\\right)+2^{6} 3^{2} x^{4}\\left(1228\\theta^4+10496\\theta^3+30154\\theta^2+35736\\theta+14715\\right)+2^{9} 3^{4} x^{5}(\\theta+1)(38\\theta^3+74\\theta^2-304\\theta-495)-2^{10} 3^{4} x^{6}(2\\theta+13)(2\\theta+3)(17\\theta+39)(\\theta+1)-2^{12} 3^{6} x^{7}(\\theta+1)(2\\theta+5)(2\\theta+3)(\\theta+3)", "superseek": "22/5 68", "discriminant": "7 25 -380 -17456 -66240 707328 1575936 -5640192 -11943936", "aesz": null, "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "660211ce6175f36772066594bfc33cbb", "dim_h": null, "inst": " 22/5 8 68 3292/5 38826/5 1517408/15 7418706/5 115188852/5 1132445042/3 32217796776/5", "cleanlist": "True", "n_sing_real": "5", "sol_explicit": "", "n_sing_rational": "5", "n_sing": "5", "laurent": null, "discriminant_tex": "-(-1+36z)(12z+5)^2(12z+1)^2(4z-1)^2", "discr_factors": "-11943936, (z+5/12)^2, (z-1/4)^2, (z+1/12)^2, -1/36+z", "dm_basis": null, "q": "0 1 -6 -55 444 -2012 -40662 -48142 -5216472 -98264672", "yuk": "1 22/5 342/5 9202/5 42206 4853272/5 109262898/5 508923236 58976903254/5 1375920735232/5", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-5/12","im":"0","approx_re":"-0.416666666667","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/12","im":"0","approx_re":"-0.0833333333333","approx_im":"0.0","exponents":["0","0","1","1"],"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":"0","approx_re":"0.0277777777778","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/4","im":"0","approx_re":"0.25","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1","3/2","5/2","3"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[25*X^4, -3380*X^4-4120*X^3-3710*X^2-1650*X-300, 185584*X^4+413632*X^3+501164*X^2+305480*X+76320, -5544384*X^4-17179008*X^3-25159152*X^2-18009840*X-5113440, 99910656*X^4+385357824*X^3+644136192*X^2+508886784*X+154972224, -1120960512*X^4-5065998336*X^3-9322573824*X^2-7852363776*X-2491250688, 7686586368*X^4+39154876416*X^3+77370163200*X^2+67974266880*X+22084337664, -509607936*(X+1)^2*(58*X^2+208*X+201), 48922361856*(X+1)^2*(X+2)^2]", "text": "This is operator \"8.79\" from ...", "degz": 8, "h3": null, "sol": "1 12 204 4368 112140 3300912 107091024 3718116288 135443387916 5110962695760", "n_discr_factors": "4", "c3": null, "operator": "4 8 0 0 0 0 25 -300 -1650 -3710 -4120 -3380 76320 305480 501164 413632 185584 -5113440 -18009840 -25159152 -17179008 -5544384 154972224 508886784 644136192 385357824 99910656 -2491250688 -7852363776 -9322573824 -5065998336 -1120960512 22084337664 67974266880 77370163200 39154876416 7686586368 -102431195136 -310860840960 -343985356800 -165112971264 -29557260288 195689447424 587068342272 635990704128 293534171136 48922361856", "new_number": "8.79", "id": 528, "operator_tex": "5^{2} \\theta^4-2 5 x\\left(338\\theta^4+412\\theta^3+371\\theta^2+165\\theta+30\\right)+2^{2} x^{2}\\left(46396\\theta^4+103408\\theta^3+125291\\theta^2+76370\\theta+19080\\right)-2^{4} 3 x^{3}\\left(115508\\theta^4+357896\\theta^3+524149\\theta^2+375205\\theta+106530\\right)+2^{6} 3^{2} x^{4}\\left(173456\\theta^4+669024\\theta^3+1118292\\theta^2+883484\\theta+269049\\right)-2^{11} 3^{3} x^{5}\\left(20272\\theta^4+91616\\theta^3+168594\\theta^2+142006\\theta+45053\\right)+2^{14} 3^{4} x^{6}\\left(5792\\theta^4+29504\\theta^3+58300\\theta^2+51220\\theta+16641\\right)-2^{21} 3^{5} x^{7}(\\theta+1)^2(58\\theta^2+208\\theta+201)+2^{26} 3^{6} x^{8}(\\theta+1)^2(\\theta+2)^2", "superseek": "22/5 68", "discriminant": "8 25 -3380 185584 -5544384 99910656 -1120960512 7686586368 -29557260288 48922361856", "aesz": null, "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "064e5b590dd8b6a4daa1e905fbe693c2", "dim_h": null, "inst": " 22/5 8 68 3292/5 38826/5 1517408/15 7418706/5 115188852/5 1132445042/3 32217796776/5", "cleanlist": "True", "n_sing_real": "5", "sol_explicit": "", "n_sing_rational": "5", "n_sing": "5", "laurent": null, "discriminant_tex": "(-1+48z)(16z-1)^2(48z-5)^2(12z-1)^3", "discr_factors": "48922361856, (z-1/12)^3, (z-1/16)^2, -1/48+z, (z-5/48)^2", "dm_basis": null, "q": "0 1 -18 233 -2988 33412 -382914 3792338 -42902088 352614016", "yuk": "1 22/5 342/5 9202/5 42206 4853272/5 109262898/5 508923236 58976903254/5 1375920735232/5", "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":"1/48","im":"0","approx_re":"0.0208333333333","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/16","im":"0","approx_re":"0.0625","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"1/12","im":"0","approx_re":"0.0833333333333","approx_im":"0.0","exponents":["0","1/2","3/2","2"],"monodromy":[],"monodromy_dm":[]},{"re":"5/48","im":"0","approx_re":"0.104166666667","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","1","2","2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -1380*X^2-1108*X-312+16*X^4-544*X^3, -702464*X^2-340608-25600*X^4-222208*X^3-798080*X, -93548544*X-16834560*X^3-83443712*X^2-36016128-7180288*X^4, 2766667776*X^2-461635584*X^4+3910926336*X^3+8635613184+6569656320*X, 1278700683264*X^3+74327261184*X^4+1558315008000*X^2+1274019840000+1552029843456*X, -72280071733248+165426436767744*X^3-54175173967872*X+115345037721600*X^2+21483560632320*X^4, -29318193013063680-12224328401682432*X^2-42512793181618176*X+2303656175075328*X^4+9221060708794368*X^3, -462947309290782720*X^3+93274114004877312*X^4-4622103341344751616-8108285277115514880*X-4381161448475197440*X^2, -129042167888628154368*X^3-540429982760599289856*X^2-852975847454344740864*X-452955707380089225216-6247055633116299264*X^4, -44702094752994595700736*X-35572820926754099036160*X^2-16568029419661349093376-1128847512798737989632*X^4-11264946071734182739968*X^3, -640964323578374069944320*X^2+667189919115658565517312*X-60015509066294514155520*X^4+1762908794303572321763328-408840881455553788772352*X^3, 120664739884340255460950016*X^2+346494932087975169736310784*X+13948602376741864429584384*X^3-85728937239555927441408*X^4+337011010815891134314708992, 30142132961310707277241516032*X+26821316676884624270476443648+143298440035248307892649984*X^4+2250172801634574780692692992*X^3+12525138931301633208952553472*X^2, 1300979426564337043082903027712*X+7188159586632996201317793792*X^4+103112909932390566198213869568*X^3+550436418691071094890134765568*X^2+1150976943293926172461545553920, 148720543171717162785885388800*X^4+2105882891311515025048137105408*X^3+11157015148742221552197121867776*X^2+26225380582900604485663029460992*X+23084774512471867300532094763008, 71385860722424238137224986624*(2*X+7)^4]", "text": "This is operator \"16.3\" from ...", "degz": 16, "h3": null, "sol": "1 312 86184 21412224 5052550824 1150537746240 255556167098112 55719803602649088 11975621465925502632 2544577967890365916608", "n_discr_factors": null, "c3": null, "operator": "4 16 0 0 0 0 1 -312 -1108 -1380 -544 16 -340608 -798080 -702464 -222208 -25600 -36016128 -93548544 -83443712 -16834560 -7180288 8635613184 6569656320 2766667776 3910926336 -461635584 1274019840000 1552029843456 1558315008000 1278700683264 74327261184 -72280071733248 -54175173967872 115345037721600 165426436767744 21483560632320 -29318193013063680 -42512793181618176 -12224328401682432 9221060708794368 2303656175075328 -4622103341344751616 -8108285277115514880 -4381161448475197440 -462947309290782720 93274114004877312 -452955707380089225216 -852975847454344740864 -540429982760599289856 -129042167888628154368 -6247055633116299264 -16568029419661349093376 -44702094752994595700736 -35572820926754099036160 -11264946071734182739968 -1128847512798737989632 1762908794303572321763328 667189919115658565517312 -640964323578374069944320 -408840881455553788772352 -60015509066294514155520 337011010815891134314708992 346494932087975169736310784 120664739884340255460950016 13948602376741864429584384 -85728937239555927441408 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