{"count": 3, "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 426499532397322951072000 -33372434174029897111532808", "cleanlist": "True", "n_sing_real": "2", "sol_explicit": "", "n_sing_rational": "2", "n_sing": "2", "laurent": null, "discriminant_tex": "(6912z-1)^2", "discr_factors": "47775744, (z-1/6912)^2", "dm_basis": ["7/6-10413121032779260648346948458175935308908666354681396315952835358306843793103279948239733597798534695/4552537122981102476060103483058775865936383743190033321979354230308802848949268282146611842149780696*I", "5/3", "1/2", "1", "-4/3", "0", "-1", "0", "2", "-4", "0", "0", "4", "0", "0", "0"], "q": "0 1 -3456 8336736 -16309794816 27866500108848 -43156101030912000 61938379512020464128 -83619799125612455264256 107306718787272050658929304", "yuk": "1 480 -1815264 -432936960 700363160352 -544080718379520 389808420341741568 408424773881243566080 -315664328418886483563744 310918159117648430898551040", "gv2": null, "gv0": null, "gv1": null, 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{"pols": "[X^4, 54272*X^4-149504*X^3-92224*X^2-17472*X-1488, -767557632*X^4-5976883200*X^3+3050569728*X^2+1019609088*X+127008768, -48975512076288*X^4+29222957481984*X^3+22678232629248*X^2+6899864961024*X+706052358144, 5818615534190592*(3*X+1)*(2*X+1)^2*(3*X+2)]", "text": "Sporadic Operator.", "degz": 4, "h3": null, "sol": "1 1488 11258640 139962144000 2191135140810000 38974397455048543488 751331497587692755878144 15309166093451866932684410880 324854354868556524654614201802000 7110379597953671718924752104334880000", "n_discr_factors": "3", "c3": null, "operator": "4 4 0 0 0 0 1 -1488 -17472 -92224 -149504 54272 127008768 1019609088 3050569728 -5976883200 -767557632 706052358144 6899864961024 22678232629248 29222957481984 -48975512076288 11637231068381184 98916464081240064 308386623312101376 418940318461722624 209470159230861312", "new_number": "4.53", "id": 152, "operator_tex": "\\theta^4+2^{4} x\\left(3392\\theta^4-9344\\theta^3-5764\\theta^2-1092\\theta-93\\right)-2^{17} 3 x^{2}\\left(1952\\theta^4+15200\\theta^3-7758\\theta^2-2593\\theta-323\\right)-2^{26} 3^{2} 7 x^{3}\\left(11584\\theta^4-6912\\theta^3-5364\\theta^2-1632\\theta-167\\right)+2^{42} 3^{3} 7^{2} x^{4}(3\\theta+1)(2\\theta+1)^2(3\\theta+2)", "superseek": "37216 464865119712", "discriminant": "4 1 54272 -767557632 -48975512076288 209470159230861312", "aesz": "264", "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "625990ef22ba977bc3dd247ccc791780", "dim_h": null, "inst": " 37216 -75619080 464865119712 -2749454414283384 24030314100181942560 -191383188745885984500840 1918781328189011299017081440 -17585890849315381700538391366648 189589583226526216469072379366702336 -1886080110730882688589570690078662613720", "cleanlist": "True", "n_sing_real": "4", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "4", "laurent": null, "discriminant_tex": "(27648z-1)(4096z-1)(1+43008z)^2", "discr_factors": "209470159230861312, z-1/27648, z-1/4096, (1/43008+z)^2", "dm_basis": null, "q": "0 1 -11520 113529696 -1214705154048 13157995272423984 -148726278032418975744 1697462238453740960502272 -19896484803451373102238793728 234703506604410766518669936478872", "yuk": "1 37216 -604915424 12551358269440 -175965083119052000 3003789262522742857216 -41338768769098821898864640 658141995568830875562858971136 -9003976114849475606640739498775776 138210806172137611805953777109684272384", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/43008","im":"0","approx_re":"-2.32514880952e-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":"1/27648","im":"0","approx_re":"3.61689814815e-05","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/4096","im":"0","approx_re":"0.000244140625","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","1/2","1/2","2/3"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, 288*X^4-768*X^3-528*X^2-144*X-16, -44032*X^4-262144*X^3-64000*X^2-23040*X-5120, -18644992*X^4-33423360*X^3-30851072*X^2-14401536*X-2572288, -3670016*(2*X+1)*(186*X^3+375*X^2+317*X+100), -6576668672*(2*X+1)*(X+1)^2*(2*X+3)]", "text": "This is operator \"5.91\" from ...", "degz": 5, "h3": "16", "sol": "1 16 1488 183040 27611920 4644009216 840155264256 159984411045888 31647762945461520 6447385477360072960", "n_discr_factors": "4", "c3": "68", "operator": "4 5 0 0 0 0 1 -16 -144 -528 -768 288 -5120 -23040 -64000 -262144 -44032 -2572288 -14401536 -30851072 -33423360 -18644992 -367001600 -1897398272 -3703046144 -3435134976 -1365245952 -19730006016 -92073361408 -151263379456 -105226698752 -26306674688", "new_number": "5.91", "id": 306, "operator_tex": "\\theta^4+2^{4} x\\left(18\\theta^4-48\\theta^3-33\\theta^2-9\\theta-1\\right)-2^{9} x^{2}\\left(86\\theta^4+512\\theta^3+125\\theta^2+45\\theta+10\\right)-2^{14} x^{3}\\left(1138\\theta^4+2040\\theta^3+1883\\theta^2+879\\theta+157\\right)-2^{19} 7 x^{4}(2\\theta+1)(186\\theta^3+375\\theta^2+317\\theta+100)-2^{27} 7^{2} x^{5}(2\\theta+1)(\\theta+1)^2(2\\theta+3)", "superseek": "112 186800", "discriminant": "5 1 288 -44032 -18644992 -1365245952 -26306674688", "aesz": "331", "n_sing_complex": "0", "inst_int": "", "c2h": "40", "hash": "a30093d8c1ab2f66122cef8935b79efb", "dim_h": "6", "inst": " 112 -2242 186800 -11675813 1250599376 -109453519578 12996262564592 -1335165142501083 167689997418831488 -18917764674198834614", "cleanlist": "True", "n_sing_real": "5", "sol_explicit": "", "n_sing_rational": "5", "n_sing": "5", "laurent": null, "discriminant_tex": "-(32z+1)(256z-1)(64z+1)(1+224z)^2", "discr_factors": "-26306674688, z-1/256, (1/224+z)^2, z+1/64, z+1/32", "dm_basis": null, "q": "0 1 -80 4224 -353280 32901040 -3889583616 442866134016 -57164706250752 7080975365853336", "yuk": "1 112 -17824 5043712 -747269856 156324922112 -23641955203072 4457718059655168 -683604553707824352 122246008118333198464", "gv2": null, "gv0": null, "gv1": null, 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