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\\times P^2$", "degz": 2, "h3": "18", "sol": "1 12 900 94080 11988900 1704214512 260453217024 41886697881600 6996546610936740 1203384096358158000", "n_discr_factors": "2", "c3": "-162", "operator": "4 2 0 0 0 0 1 -12 -96 -285 -378 -189 -2880 -16848 -31752 -23328 -5832", "new_number": "2.2", "id": 22, "operator_tex": "\\theta^4-3 x(3\\theta+1)(3\\theta+2)(7\\theta^2+7\\theta+2)-2^{3} 3^{2} x^{2}(3\\theta+1)(3\\theta+2)(3\\theta+4)(3\\theta+5)", "superseek": "21 15894", "discriminant": "2 1 -189 -5832", "aesz": "15", "n_sing_complex": "0", "inst_int": "", "c2h": "72", "hash": "c8053e0e9c05ef468263fafd5e3fc764", "dim_h": "9", "inst": " 21 480 15894 894075 58703151 4482271260 373469554929 33373998306933 3140252369423073 307963083118697496", "cleanlist": "True", "n_sing_real": "3", "sol_explicit": "A_{n}=\\dbinom{2n}{n}\\dbinom{3n}{n}\\sum_{k=0}^{n}\\dbinom{n}{k}^3", "n_sing_rational": "3", "n_sing": "3", "laurent": null, "discriminant_tex": "-(27z+1)(216z-1)", "discr_factors": "-5832, z-1/216, z+1/27", "dm_basis": ["-162*lambda", "6", "1", "1", "-3", "-9", "-1", "0", "0", "18", "0", "0", "-18", "0", "0", "0"], "q": "0 1 -48 -18 7976 -1697115 -90056880 -9049527514 -907472920848 -94324071435966", "yuk": "1 21 3861 429159 57224661 7337893896 968171025159 128100057340668 17087487190374357 2289243977309849376", "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":["4+324*lambda","-3/2-162*lambda","3/4+81*lambda","-222/1223-54*lambda","9","-7/2","9/4","-3/4-81*lambda","18","-9","11/2","-3/2-162*lambda","36","-18","9","-2-324*lambda"],"monodromy_dm":["-5","-30","-3","-2","3","16","3/2","1","-36","-180","-17","-12","27","135","27/2","10"]},{"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","18","1","0","0","0","1","1"]},{"re":"1/216","im":"0","approx_re":"0.00462962962963","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":["1+162*lambda","0","27*lambda",".34239575e-1","3","1","1/2","-27*lambda","0","0","1","0","18","0","3","1-162*lambda"],"monodromy_dm":["1","-9","-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":["1/3","2/3","4/3","5/3"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -12*(3*X+1)*(3*X+2)*(32*X^2+32*X+13), 36864*(3*X+1)*(3*X+2)*(3*X+4)*(3*X+5)]", "text": "This is operator \"2.32\" from ...", "degz": 2, "h3": null, "sol": "1 312 268200 297104640 370278354600 494087772290112 689377183045334784 992589121714676428800 1462960664781344542705320 2195516997392906825183832000", "n_discr_factors": "1", "c3": null, "operator": "4 2 0 0 0 0 1 -312 -2172 -5628 -6912 -3456 1474560 8626176 16257024 11943936 2985984", "new_number": "2.32", "id": 25, "operator_tex": "\\theta^4-2^{2} 3 x(3\\theta+1)(3\\theta+2)(32\\theta^2+32\\theta+13)+2^{12} 3^{2} x^{2}(3\\theta+1)(3\\theta+2)(3\\theta+4)(3\\theta+5)", "superseek": "60 307860", "discriminant": "2 1 -3456 2985984", "aesz": null, "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "c2f30268af49d0bdc6a36f8b0fce3367", "dim_h": null, "inst": " 60 -7635 307860 -44194980 3687387360 -529261811985 59851829292180 -8702630989366980 1145485558395197520 -170278663020690678360", "cleanlist": "True", "n_sing_real": "2", "sol_explicit": "", "n_sing_rational": "2", "n_sing": "2", "laurent": null, "discriminant_tex": "(1728z-1)^2", "discr_factors": "2985984, (z-1/1728)^2", "dm_basis": ["9/8-872284041/1000000000*I", "3/4", "1/2", "1", "-1/4", "0", "-1", "0", "3", "-6", "0", "0", "6", "0", "0", "0"], "q": "0 1 -924 641502 -384412592 211122136365 -109362688829064 54312562744453394 -26126834906167052736 12257965850615612177670", "yuk": "1 60 -61020 8312280 -2828539740 460923420060 -114320543137560 20529177447217800 -4455747069384433500 835058972070107304360", "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","-6","1","0","0","0","1","1"]},{"re":"1/1728","im":"0","approx_re":"0.000578703703704","approx_im":"0.0","exponents":["0","1/4","3/4","1"],"monodromy":["-.12500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000+.872284041*I","9/16+90*lambda","3/64-15/2*lambda",".84124259e-1","1/4","9/8","-1/96","3/64+15/2*lambda","-3","3/2","9/8","9/16-90*lambda","-6","-3","1/4","-.12500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000-.872284041*I"],"monodromy_dm":["-1","-1","0","-1","-1","1","1/2","0","0","0","1","0","3","0","-3/2","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, -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 -25748955537350626261980 21583486781736864344348112 -20060578878959801820103367544", "cleanlist": "True", "n_sing_real": "2", "sol_explicit": "", "n_sing_rational": "2", "n_sing": "2", "laurent": null, "discriminant_tex": "(11664z-1)^2", "discr_factors": "136048896, (z-1/11664)^2", "dm_basis": ["15/16-342*lambda", "9/8", "1/2", "1", "-7/8", "0", "-1", "0", "3/2", "-3", "0", "0", "3", "0", "0", "0"], "q": "0 1 -6300 29880414 -122158053552 457195947370029 -1612789915691502216 5451577544607735749778 -17842499871196639145029056 56938957638686830069433227782", "yuk": "1 -36 -3890268 3461864472 -4785452115804 7990701489467964 -7655139322144819992 11547125747575998541128 -13183465235128306098249564 15734361863886174110491638120", "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","-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, -3*(3*X+1)*(3*X+2)*(11*X^2+11*X+3), -9*(3*X+1)*(3*X+2)*(3*X+4)*(3*X+5)]", "text": "Hadamard product B*b\nRelated to (:case 7.19), (:case 8.18)\nThis operator corresponds to $(Grass(2,5)\\vert 1,1,3)_{-150}$ from arXiv:0802.2908", "degz": 2, "h3": "15", "sol": "1 18 1710 246960 43347150 8515775268 1800376001424 400791767238720 92704190534597070 22085208822810919500", "n_discr_factors": "1", "c3": "-150", "operator": "4 2 0 0 0 0 1 -18 -147 -444 -594 -297 -360 -2106 -3969 -2916 -729", "new_number": "2.6", "id": 66, "operator_tex": "\\theta^4-3 x(3\\theta+1)(3\\theta+2)(11\\theta^2+11\\theta+3)-3^{2} x^{2}(3\\theta+1)(3\\theta+2)(3\\theta+4)(3\\theta+5)", "superseek": "36 41421", "discriminant": "2 1 -297 -729", "aesz": "24", "n_sing_complex": "0", "inst_int": "", "c2h": "66", "hash": "5e8f8f32b5e99693a2956e1240b9fdff", "dim_h": "8", "inst": " 36 837 41421 2992851 266362506 27112272624 3028463890677 362170461839895 45632464971618513 5991507998411065245", "cleanlist": "True", "n_sing_real": "3", "sol_explicit": "A_{n}=\\dbinom{2n}{n}\\dbinom{3n}{n}\\sum_{k=0}^{n}\\dbinom{n}{k}^2\\dbinom{n+k}{n}", "n_sing_rational": "1", "n_sing": "3", "laurent": null, "discriminant_tex": "1-297z-729z^2", "discr_factors": "-729, -1/729+11/27*z+z^2", "dm_basis": ["-150*lambda", "21/4", "1", "1", "-11/4", "-15/2", "-1", "0", "0", "15", "0", "0", "-15", "0", "0", "0"], "q": "0 1 -75 1539 -60073 -2978346 -380743659 -48420276097 -6463392140319 -900815105135718", "yuk": "1 36 6732 1118403 191549196 33295313286 5856252011883 1038763114502247 185431276653575436 33266066964311014380", "gv2": null, "gv0": "540 12555 621315 44892765 3995437590 406684089360 45426958360155 5432556927598425 684486974574277695 89872619976165978675", "gv1": "0 0 -1 13095 17230617 6648808835 1831575868830 433375127634753 94416986839804040 19571240651198871015 3928385495739192861123 771467376541495393981885 149185114850267499674332737 28527921575954705632251978558 5410017459416672999118331855100 1019499107689707626552267048965731 191190228044755566196801759890402648 35719045727096113630007361726280466678 6653312019338283509139215063697202862643", "spectrum":[{"re":"-11/54-5/54*5^(1/2)","im":"0","approx_re":"-0.410747","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":["11/2+600*lambda","-9/4-300*lambda","21/20+140*lambda","-.196596398-90*lambda","14","-6","49/15","-21/20-140*lambda","30","-15","8","-9/4-300*lambda","60","-30","14","-7/2-600*lambda"],"monodromy_dm":["-9","-50","-6","-4","5","26","3","2","-45","-225","-26","-18","30","150","18","13"]},{"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","15","1","0","0","0","1","1"]},{"re":"-11/54+5/54*5^(1/2)","im":"0","approx_re":"0.00334","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":["1+150*lambda","0","55/2*lambda",".35225900e-1","11/4","1","121/240","-55/2*lambda","0","0","1","0","15","0","11/4","1-150*lambda"],"monodromy_dm":["1","-8","-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":["1/3","2/3","4/3","5/3"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, 280*X^4+776*X^3+580*X^2+192*X+24, -6768*X^4+41184*X^3+101328*X^2+57216*X+9888, -41472*X^4+746496*X^3+5446656*X^2+4499712*X+928512, -82944*(3*X+1)*(3*X+2)*(42*X^2+258*X+223), 11943936*(3*X+1)*(3*X+2)*(3*X+4)*(3*X+5)]", "text": "This is operator \"5.101\" from ...", "degz": 5, "h3": "16", "sol": "1 -24 2160 -309120 54608400 -10824637824 2311144932096 -519918637455360 121579349447247120 -29291011307905776000", "n_discr_factors": "2", "c3": "-114", "operator": "4 5 0 0 0 0 1 24 192 580 776 280 9888 57216 101328 41184 -6768 928512 4499712 5446656 746496 -41472 -36993024 -209267712 -366031872 -223948800 -31352832 477757440 2794881024 5267275776 3869835264 967458816", "new_number": "5.101", "id": 183, "operator_tex": "\\theta^4+2^{2} x\\left(70\\theta^4+194\\theta^3+145\\theta^2+48\\theta+6\\right)-2^{4} 3 x^{2}\\left(141\\theta^4-858\\theta^3-2111\\theta^2-1192\\theta-206\\right)-2^{8} 3^{2} x^{3}\\left(18\\theta^4-324\\theta^3-2364\\theta^2-1953\\theta-403\\right)-2^{10} 3^{4} x^{4}(3\\theta+1)(3\\theta+2)(42\\theta^2+258\\theta+223)+2^{14} 3^{6} x^{5}(3\\theta+1)(3\\theta+2)(3\\theta+4)(3\\theta+5)", "superseek": "-52 -44772", "discriminant": "5 1 280 -6768 -41472 -31352832 967458816", "aesz": "348\n", "n_sing_complex": "2", "inst_int": "", "c2h": "40", "hash": "8759f016475d17d0fc88f4b98a374d3f", "dim_h": "6", "inst": " -52 461/2 -44772 3546761/2 -178670332 32517931641/2 -1653102364436 366947580015355/2 -21196688793453600 5118794506088892927/2", "cleanlist": "True", "n_sing_real": "3", "sol_explicit": "", "n_sing_rational": "2", "n_sing": "5", "laurent": null, "discriminant_tex": "(746496z^3+17280z^2+352z+1)(-1+36z)^2", "discr_factors": "967458816, z^3+5/216*z^2+11/23328*z+1/746496, (-1/36+z)^2", "dm_basis": null, "q": "0 1 96 5712 419072 25422576 2011912704 92161450240 10068708114432 59645210003352", "yuk": "1 -52 1792 -1208896 113498144 -22333791552 3511935410176 -567014111001600 93938580597429024 -15452386130428883296", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/2592*(1502+342*57^(1/2))^(1/3)+41/648/(1502+342*57^(1/2))^(1/3)-5/648","im":"-1/16*3^(1/2)*(1/162*(1502+342*57^(1/2))^(1/3)+82/81/(1502+342*57^(1/2))^(1/3))","approx_re":"-0.009925","approx_im":"-0.017537","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/2592*(1502+342*57^(1/2))^(1/3)+41/648/(1502+342*57^(1/2))^(1/3)-5/648","im":"1/16*3^(1/2)*(1/162*(1502+342*57^(1/2))^(1/3)+82/81/(1502+342*57^(1/2))^(1/3))","approx_re":"-0.009925","approx_im":"0.017537","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/1296*(1502+342*57^(1/2))^(1/3)-41/324/(1502+342*57^(1/2))^(1/3)-5/648","im":"0","approx_re":"-0.003299","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":"1/36","im":"0","approx_re":"0.0277777777778","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","2/3","4/3","5/3"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -850*X^4-800*X^3-625*X^2-225*X-30, 271875*X^4+457500*X^3+414375*X^2+172500*X+25500, -39965625*X^4-89606250*X^3-85865625*X^2-35775000*X-5287500, 8437500*(3*X+1)*(3*X+2)*(34*X^2+61*X+36), -632812500*(3*X+1)*(3*X+2)*(3*X+4)*(3*X+5)]", "text": "This is operator \"5.103\" from ...", "degz": 5, "h3": null, "sol": "1 30 3150 462000 78828750 14647012380 2873579108400 585270426312000 122482539114828750 26160228836854612500", "n_discr_factors": "2", "c3": null, "operator": "4 5 0 0 0 0 1 -30 -225 -625 -800 -850 25500 172500 414375 457500 271875 -5287500 -35775000 -85865625 -89606250 -39965625 607500000 3763125000 7939687500 7214062500 2581875000 -25312500000 -148078125000 -279070312500 -205031250000 -51257812500", "new_number": "5.103", "id": 185, "operator_tex": "\\theta^4-5 x\\left(170\\theta^4+160\\theta^3+125\\theta^2+45\\theta+6\\right)+3 5^{3} x^{2}\\left(725\\theta^4+1220\\theta^3+1105\\theta^2+460\\theta+68\\right)-3^{2} 5^{5} x^{3}\\left(1421\\theta^4+3186\\theta^3+3053\\theta^2+1272\\theta+188\\right)+2^{2} 3^{3} 5^{7} x^{4}(3\\theta+1)(3\\theta+2)(34\\theta^2+61\\theta+36)-2^{2} 3^{4} 5^{9} x^{5}(3\\theta+1)(3\\theta+2)(3\\theta+4)(3\\theta+5)", "superseek": "25 17175", "discriminant": "5 1 -850 271875 -39965625 2581875000 -51257812500", "aesz": "354", "n_sing_complex": "2", "inst_int": "", "c2h": null, "hash": "0d4263e8c85dceb5c51f8614f7c1bc79", "dim_h": null, "inst": " 25 2175/4 17175 351250 23000351/5 -946341375/4 -42917772675 -4583010161250 -428541128373750 -754410019566902943/20", "cleanlist": "True", "n_sing_real": "3", "sol_explicit": "", "n_sing_rational": "2", "n_sing": "5", "laurent": null, "discriminant_tex": "-(2278125z^3-84375z^2+550z-1)(-1+150z)^2", "discr_factors": "-51257812500, z^3-1/27*z^2+22/91125*z-1/2278125, (-1/150+z)^2", "dm_basis": null, "q": "0 1 -105 6525 -326375 16119375 -735922971 33796037660 -1307023044825 64970570937375", "yuk": "1 25 4375 463750 22484375 575008800 -51101966150 -14720796027500 -2346501180075625 -312406482584000000", "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":"-1/8100*(40580+420*21^(1/2))^(1/3)-59/405/(40580+420*21^(1/2))^(1/3)+1/81","im":"-1/10*3^(1/2)*(1/810*(40580+420*21^(1/2))^(1/3)-118/81/(40580+420*21^(1/2))^(1/3))","approx_re":"0.003863","approx_im":"-0.000232","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/8100*(40580+420*21^(1/2))^(1/3)-59/405/(40580+420*21^(1/2))^(1/3)+1/81","im":"1/10*3^(1/2)*(1/810*(40580+420*21^(1/2))^(1/3)-118/81/(40580+420*21^(1/2))^(1/3))","approx_re":"0.003863","approx_im":"0.000232","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/150","im":"0","approx_re":"0.00666666666667","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"1/4050*(40580+420*21^(1/2))^(1/3)+118/405/(40580+420*21^(1/2))^(1/3)+1/81","im":"0","approx_re":"0.029311","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":["1/3","2/3","4/3","5/3"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -881*X^4-1222*X^3-878*X^2-267*X-30, 151803*X^4+180072*X^3+51567*X^2+840*X-1020, -8814015*X^4-9353070*X^3-6422355*X^2-2208060*X-284220, 8100*(3*X+1)*(3*X+2)*(1902*X^2+1767*X+386), 1822500*(3*X+1)*(3*X+2)*(3*X+4)*(3*X+5)]", "text": "Operator London 18.\nB-Incarnation: Laurent-polynomial.", "degz": 5, "h3": null, "sol": "1 30 6210 2004240 789638850 348792624180 165939866492400 83169520555492800 43324855975160352450 23249936277240621019500", "n_discr_factors": "4", "c3": null, "operator": "4 5 0 0 0 0 1 -30 -267 -878 -1222 -881 -1020 840 51567 180072 151803 -284220 -2208060 -6422355 -9353070 -8814015 6253200 56764800 187766100 267470100 138655800 72900000 426465000 803722500 590490000 147622500", "new_number": "5.126", "id": 210, "operator_tex": "\\theta^4-x\\left(881\\theta^4+1222\\theta^3+878\\theta^2+267\\theta+30\\right)+3 x^{2}\\left(50601\\theta^4+60024\\theta^3+17189\\theta^2+280\\theta-340\\right)-3^{2} 5 x^{3}\\left(195867\\theta^4+207846\\theta^3+142719\\theta^2+49068\\theta+6316\\right)+2^{2} 3^{4} 5^{2} x^{4}(3\\theta+1)(3\\theta+2)(1902\\theta^2+1767\\theta+386)+2^{2} 3^{6} 5^{4} x^{5}(3\\theta+1)(3\\theta+2)(3\\theta+4)(3\\theta+5)", "superseek": "110 729096", "discriminant": "5 1 -881 151803 -8814015 138655800 147622500", "aesz": null, "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "511069e41e6328e47a1ea996049096b4", "dim_h": null, "inst": " 110 12935/2 729096 247828991/2 26419290920 12904638745359/2 1730214446831596 496934881243129784 150410691423145616280 94896624752821217876805/2", "cleanlist": "True", "n_sing_real": "5", "sol_explicit": "", "n_sing_rational": "5", "n_sing": "5", "laurent": null, "discriminant_tex": "(675z-1)(27z-1)(z+1)(-1+90z)^2", "discr_factors": "147622500, z-1/27, z-1/675, z+1, (-1/90+z)^2", "dm_basis": null, "q": "0 1 -147 1905 -523039 -125727555 -35718030747 -10803707045489 -3459885219238779 -1155873774613811283", "yuk": "1 110 51850 19685702 7930579562 3302411365110 1393701004236214 593463555263237538 254430659204413028970 109649394047473173953822", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1","im":"0","approx_re":"-1.0","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":"1/675","im":"0","approx_re":"0.00148148148148","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/90","im":"0","approx_re":"0.0111111111111","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":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1/3","2/3","4/3","5/3"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[100*X^4, -54360*X^4-115740*X^3-83970*X^2-26100*X-3000, -881091*X^4+373842*X^3+2790609*X^2+1687170*X+287100, 1691037*X^4+26389800*X^3+18282780*X^2+2822850*X-170100, 15795*(3*X+1)*(3*X+2)*(308*X^2-16*X-231), -1108809*(3*X+1)*(3*X+2)*(3*X+4)*(3*X+5)]", "text": "Operator London 9.\nB-Incarnation as Laurent-polynomial.", "degz": 5, "h3": null, "sol": "1 30 5130 1369200 446603850 163387404180 64392443715600 26737363539057600 11539382918216546250 5130634046649163981500", "n_discr_factors": "2", "c3": null, "operator": "4 5 0 0 0 0 100 -3000 -26100 -83970 -115740 -54360 287100 1687170 2790609 373842 -881091 -170100 2822850 18282780 26389800 1691037 -7297290 -33343245 -25382565 41509260 43783740 -44352360 -259461306 -488984769 -359254116 -89813529", "new_number": "5.127", "id": 211, "operator_tex": "2^{2} 5^{2} \\theta^4-2 3 5 x\\left(1812\\theta^4+3858\\theta^3+2799\\theta^2+870\\theta+100\\right)-3 x^{2}\\left(293697\\theta^4-124614\\theta^3-930203\\theta^2-562390\\theta-95700\\right)+3^{3} x^{3}\\left(62631\\theta^4+977400\\theta^3+677140\\theta^2+104550\\theta-6300\\right)+3^{5} 5 13 x^{4}(3\\theta+1)(3\\theta+2)(308\\theta^2-16\\theta-231)-3^{8} 13^{2} x^{5}(3\\theta+1)(3\\theta+2)(3\\theta+4)(3\\theta+5)", "superseek": "957/10 1581774/5", "discriminant": "5 100 -54360 -881091 1691037 43783740 -89813529", "aesz": null, "n_sing_complex": "3", "inst_int": "", "c2h": null, "hash": "8b1c933faa73767af598d82d1e214624", "dim_h": null, "inst": " 957/10 32493/10 1581774/5 423123141/10 14142369903/2 2699813190345/2 1414792093266129/5 635092306724554077/10 75099101687538986787/5 7403690401192943211969/2", "cleanlist": "True", "n_sing_real": "2", "sol_explicit": "", "n_sing_rational": "2", "n_sing": "5", "laurent": null, "discriminant_tex": "-(6561z^3-4320z^2+567z-1)(10+117z)^2", "discr_factors": "-89813529, (10/117+z)^2, z^3-160/243*z^2+7/81*z-1/6561", "dm_basis": null, "q": "0 1 -141 6186 -527789 -27099930 -9533981088 -2108418624030 -536115030021393 -139918639966848990", "yuk": "1 957/10 260901/10 85416753/10 5416028385/2 4419490595166/5 2915798331249297/10 970547375980565451/10 325167261070051829349/10 109494490260431928152199/10", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-10/117","im":"0","approx_re":"-0.0854700854701","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":"-1/2916*(3610916+728028*I*107^(1/2))^(1/3)-10291/729/(3610916+728028*I*107^(1/2))^(1/3)+160/729+1/6*I*3^(1/2)*(1/486*(3610916+728028*I*107^(1/2))^(1/3)-20582/243/(3610916+728028*I*107^(1/2))^(1/3))","im":"0","approx_re":"0.001788","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/2916*(3610916+728028*I*107^(1/2))^(1/3)-10291/729/(3610916+728028*I*107^(1/2))^(1/3)+160/729-1/6*I*3^(1/2)*(1/486*(3610916+728028*I*107^(1/2))^(1/3)-20582/243/(3610916+728028*I*107^(1/2))^(1/3))","im":"0","approx_re":"0.178154","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/1458*(3610916+728028*I*107^(1/2))^(1/3)+20582/729/(3610916+728028*I*107^(1/2))^(1/3)+160/729","im":"0","approx_re":"0.478494","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":["1/3","2/3","4/3","5/3"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -9504*X^4-3456*X^3-3312*X^2-1584*X-240, 35085312*X^4+32845824*X^3+31394304*X^2+11653632*X+1566720, -62562336768*X^4-108355387392*X^3-104879702016*X^2-44395610112*X-6708510720, 10319560704*(3*X+1)*(3*X+2)*(576*X^2+1008*X+605), -213986410758144*(3*X+1)*(3*X+2)*(3*X+4)*(3*X+5)]", "text": "This is operator \"5.19\" from ...", "degz": 5, "h3": "8", "sol": "1 240 173520 170016000 193451504400 240628308560640 317402033358009600 436312521711394099200 618316791739397858250000 896920994123625136380000000", "n_discr_factors": "3", "c3": "258", "operator": "4 5 0 0 0 0 1 -240 -1584 -3312 -3456 -9504 1566720 11653632 31394304 32845824 35085312 -6708510720 -44395610112 -104879702016 -108355387392 -62562336768 12486668451840 76994242412544 161697196670976 147115657396224 53496602689536 -8559456430325760 -50072820117405696 -94368007144341504 -69331597085638656 -17332899271409664", "new_number": "5.19", "id": 226, "operator_tex": "\\theta^4-2^{4} 3 x\\left(198\\theta^4+72\\theta^3+69\\theta^2+33\\theta+5\\right)+2^{9} 3^{2} x^{2}\\left(7614\\theta^4+7128\\theta^3+6813\\theta^2+2529\\theta+340\\right)-2^{14} 3^{5} x^{3}\\left(15714\\theta^4+27216\\theta^3+26343\\theta^2+11151\\theta+1685\\right)+2^{19} 3^{9} x^{4}(3\\theta+1)(3\\theta+2)(576\\theta^2+1008\\theta+605)-2^{27} 3^{13} x^{5}(3\\theta+1)(3\\theta+2)(3\\theta+4)(3\\theta+5)", "superseek": "-624 -43406256", "discriminant": "5 1 -9504 35085312 -62562336768 53496602689536 -17332899271409664", "aesz": "180", "n_sing_complex": "0", "inst_int": "", "c2h": "-4", "hash": "c174fb2dfd87730e48b4ae8b57ac66df", "dim_h": "1", "inst": " -624 -137190 -43406256 -18281817141 -9083828410320 -5027390292819630 -2991932148254917872 -1876509222997066884267 -1224964425683923272806016 -825344736194521839555090690", "cleanlist": "True", "n_sing_real": "4", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "4", "laurent": null, "discriminant_tex": "-(-1+864z)(2592z-1)^2(1728z-1)^2", "discr_factors": "-17332899271409664, -1/864+z, (z-1/2592)^2, (z-1/1728)^2", "dm_basis": null, "q": "0 1 -624 254592 -98163712 30776299440 -10695691989504 2703910015437824 -1094862841462358016 125302358625851404440", "yuk": "1 -624 -1098144 -1171969536 -1170037395168 -1135478551290624 -1085916304422107136 -1026232726851436830720 -960772722175668282139872 -892999066323580067047555200", "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":"1/2592","im":"0","approx_re":"0.000385802469136","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"1/1728","im":"0","approx_re":"0.000578703703704","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"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":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1/3","2/3","4/3","5/3"],"monodromy":[],"monodromy_dm":[]}]}]}