{"count": 57, "status":"OK", "data":[{"pols": "[X^4, -25000*X^4-50000*X^3-58750*X^2-33750*X-7380, 62500*(5*X+4)*(5*X+6)*(10*X+9)*(10*X+11)]", "text": "Operator equivalent to $\\hat{1}$ of AESZ", "degz": 2, "h3": null, "sol": "1 7380 71382150 753157832000 8295076883047500 93726316432903124880 1077149095096618172301400 12529720486181268162877032000 147074411811887111318222704803750 1738540308895317125093331817556175000", "n_discr_factors": "1", "c3": null, "operator": "4 2 0 0 0 0 1 -7380 -33750 -58750 -50000 -25000 148500000 609375000 929687500 625000000 156250000", "new_number": "2.39", "id": 32, "operator_tex": "\\theta^4-2 5 x\\left(2500\\theta^4+5000\\theta^3+5875\\theta^2+3375\\theta+738\\right)+2^{2} 5^{6} x^{2}(5\\theta+4)(5\\theta+6)(10\\theta+9)(10\\theta+11)", "superseek": "-2450 -623291900", "discriminant": "2 1 -25000 156250000", "aesz": "~80,~81", "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "a4500006693bca99ed7ce6d889944382", "dim_h": null, "inst": " -2450 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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":["cy[T_DM][1]"]},{"re":"1/3200000","im":"0","approx_re":"3.125e-07","approx_im":"0.0","exponents":["0","-1/2","1","3/2"],"monodromy":["35/24","-580*lambda","-649/576","0","0","-35/24","0","-649/576","1","0","-35/24","580*lambda","0","1","0","35/24"],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["7/10","9/10","11/10","13/10"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -5832*X^4-11664*X^3-13770*X^2-7938*X-1746, 236196*(X+1)^2*(6*X+5)*(6*X+7)]", "text": "Operator equivalent to $\\hat{4}$", "degz": 2, "h3": null, "sol": "1 1746 3951990 9740271348 25043989159350 66042700202991996 177115354806794088636 480730042522583271956520 1316595143051828406693466038 3631103407214519008442157554220", "n_discr_factors": "1", "c3": null, "operator": "4 2 0 0 0 0 1 -1746 -7938 -13770 -11664 -5832 8266860 33539832 50782140 34012224 8503056", "new_number": "2.41", "id": 35, "operator_tex": "\\theta^4-2 3^{2} x\\left(324\\theta^4+648\\theta^3+765\\theta^2+441\\theta+97\\right)+2^{2} 3^{10} x^{2}(\\theta+1)^2(6\\theta+5)(6\\theta+7)", "superseek": "-522 -9879192", "discriminant": "2 1 -5832 8503056", "aesz": null, "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "73d9f98b2c49f1c35df531f020cf1721", "dim_h": null, "inst": " -522 -105291/2 -9879192 -2420127936 -689420749716 -216357353050266 -72634690919277180 -25626633195551666544 -9392840331059964324510 -3548231463433108407572043", "cleanlist": "True", "n_sing_real": "2", "sol_explicit": "", "n_sing_rational": "2", "n_sing": "2", "laurent": null, "discriminant_tex": "(2916z-1)^2", "discr_factors": "8503056, (z-1/2916)^2", "dm_basis": ["cy[DM_basis]"], "q": "0 1 -954 353727 -76415556 11655125127 -1450031521158 134882141008365 -18262721155776552 -1103456195305136640", "yuk": "1 -522 -421686 -266738706 -154888609590 -86177593715022 -46733188526017326 -24913698985312073262 -13120836196277341880118 -6847380601342714259306496", "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":["cy[T_DM][1]"]},{"re":"1/2916","im":"0","approx_re":"0.000342935528121","approx_im":"0.0","exponents":["0","-1/2","1","3/2"],"monodromy":["7/8","-108*lambda","5/64","0","0","-7/8","0","5/64","3","0","-7/8","108*lambda","0","3","0","7/8"],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["5/6","1","1","7/6"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -3456*X^4-6912*X^3-8184*X^2-4728*X-1044, 144*(12*X+11)^2*(12*X+13)^2]", "text": "Operator equivalent to $\\hat{5}$", "degz": 2, "h3": null, "sol": "1 1044 1403100 2051002800 3126485684700 4887212870620080 7768487563666517520 12496882936840430356800 20284188614096186012967900 33154202899295778036714519600", "n_discr_factors": "1", "c3": null, "operator": "4 2 0 0 0 0 1 -1044 -4728 -8184 -6912 -3456 2944656 11860992 17874432 11943936 2985984", "new_number": "2.42", "id": 36, "operator_tex": "\\theta^4-2^{2} 3 x\\left(288\\theta^4+576\\theta^3+682\\theta^2+394\\theta+87\\right)+2^{4} 3^{2} x^{2}(12\\theta+11)^2(12\\theta+13)^2", "superseek": "-288 -2339616", "discriminant": "2 1 -3456 2985984", "aesz": "~98", "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "acfee9d4b5fefd1a945cfa6b1bc61373", "dim_h": null, "inst": " -288 -19260 -2339616 -369882612 -67925445408 -13734698150652 -2970077356698912 -674863643068399476 -159284190765874022688 -38744013465690133817340", "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": ["cy[DM_basis]"], "q": "0 1 -552 110124 -11982784 856080078 -51663236832 1031263062200 -385043380763136 -82129565005671195", "yuk": "1 -288 -154368 -63169920 -23672641536 -8490680676288 -2966694863864832 -1018736533347727104 -345530185274693173248 -116118175068322225709472", "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":["cy[T_DM][1]"]},{"re":"1/1728","im":"0","approx_re":"0.000578703703704","approx_im":"0.0","exponents":["0","-1/2","1","3/2"],"monodromy":["1/2*3^(1/2)","-.470039198*I","1/24*3^(1/2)","0","0","-1/2*3^(1/2)","0","1/24*3^(1/2)","2*3^(1/2)","0","-1/2*3^(1/2)",".470039198*I","0","2*3^(1/2)","0","1/2*3^(1/2)"],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["11/12","11/12","13/12","13/12"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -8192*X^4-16384*X^3-19328*X^2-11136*X-2448, 4096*(8*X+7)^2*(8*X+9)^2]", "text": "Operator equivalent to $\\hat{6}$", "degz": 2, "h3": null, "sol": "1 2448 7779600 26927622400 97242114301200 360178063906003200 1356749640538778886400 5172512382206532116582400 19898163319859501951876144400 77083664438817200822729212627200", "n_discr_factors": "1", "c3": null, "operator": "4 2 0 0 0 0 1 -2448 -11136 -19328 -16384 -8192 16257024 66060288 100139008 67108864 16777216", "new_number": "2.43", "id": 37, "operator_tex": "\\theta^4-2^{4} x\\left(512\\theta^4+1024\\theta^3+1208\\theta^2+696\\theta+153\\right)+2^{12} x^{2}(8\\theta+7)^2(8\\theta+9)^2", "superseek": "-736 -26911072", "discriminant": "2 1 -8192 16777216", "aesz": "~77, ~78,~97", "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "3d2cd06eccf32145816b35cb63878900", "dim_h": null, "inst": " -736 -104512 -26911072 -9061573696 -3547993303456 -1530399290794816 -706174923240052704 -342448719852185551936 -172519195336759383650560 -89575561850786528483940032", "cleanlist": "True", "n_sing_real": "2", "sol_explicit": "", "n_sing_rational": "2", "n_sing": "2", "laurent": null, "discriminant_tex": "(4096z-1)^2", "discr_factors": "16777216, (z-1/4096)^2", "dm_basis": ["cy[DM_basis]"], "q": "0 1 -1344 706656 -215652352 46108515888 -7894967838720 1022037674254848 -174681633392295936 -10758058868434117992", "yuk": "1 -736 -836832 -726599680 -579941553376 -443499162932736 -330566247539116032 -242217998671338078208 -175333744564898944144608 -125766493400497591407857920", "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":["cy[T_DM][1]"]},{"re":"1/4096","im":"0","approx_re":"0.000244140625","approx_im":"0.0","exponents":["0","-1/2","1","3/2"],"monodromy":["2/3*2^(1/2)","-.657917825*I","1/36*2^(1/2)","0","0","-2/3*2^(1/2)","0","1/36*2^(1/2)","2*2^(1/2)","0","-2/3*2^(1/2)",".657917825*I","0","2*2^(1/2)","0","2/3*2^(1/2)"],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["7/8","7/8","9/8","9/8"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -524288*X^4-1048576*X^3-1224704*X^2-700416*X-151920, 67108864*(4*X+3)*(4*X+5)*(8*X+7)*(8*X+9)]", "text": "Operator equivalent to $\\hat{7}$", "degz": 2, "h3": null, "sol": "1 151920 30692221200 6779721385465600 1564471951791288368400 370493832457036401465800448 89258116706936665170335023571200 21767755998162599072984961685675929600 5357233967257499355463258918065806253104400 1327823893497481863487305564306244762320744441600", "n_discr_factors": "1", "c3": null, "operator": "4 2 0 0 0 0 1 -151920 -700416 -1224704 -1048576 -524288 63417876480 264140488704 406948151296 274877906944 68719476736", "new_number": "2.44", "id": 38, "operator_tex": "\\theta^4-2^{4} x\\left(32768\\theta^4+65536\\theta^3+76544\\theta^2+43776\\theta+9495\\right)+2^{26} x^{2}(4\\theta+3)(4\\theta+5)(8\\theta+7)(8\\theta+9)", "superseek": "-57760 -3869123234080", "discriminant": "2 1 -524288 68719476736", "aesz": null, "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "db68f352287fb91ca91e65eb38318ac4", "dim_h": null, "inst": " -57760 -354010600 -3869123234080 -56296618019665040 -953499788550226132960 -17813617123936487275117000 -356229909523606259341010401440 -7489549705807505315397189724146320 -163626381743508013909772817434163055360 -3685030185299576694719376172259466214804600", "cleanlist": "True", "n_sing_real": "2", "sol_explicit": "", "n_sing_rational": "2", "n_sing": "2", "laurent": null, "discriminant_tex": "(262144z-1)^2", "discr_factors": "68719476736, (z-1/262144)^2", "dm_basis": ["cy[DM_basis]"], "q": "0 1 -92736 4038056544 -117107769501696 2638127284267525680 -50014687815673718581248 836030055713573243974320640 -12703406069017803154088700542976 178838007104675528418336611065199256", "yuk": "1 -57760 -2832142560 -104466327377920 -3602983556090705120 -119187473568778266677760 -3847741298770385720584734720 -122186858966596946953966567751680 -3834649449373442725086344694853620960 -119283632291017342140224384013971194735360", "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":["cy[T_DM][1]"]},{"re":"1/262144","im":"0","approx_re":"3.81469726562e-06","approx_im":"0.0","exponents":["0","-1/2","1","3/2"],"monodromy":["1.355287997","-2.055993202*I","-.591710883","0","0","-1.355287997","0","-.591710883","2^(1/2)","0","-1.355287997","2.055993202*I","0","2^(1/2)","0","1.355287997"],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["3/4","7/8","9/8","5/4"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -93312*X^4-186624*X^3-218376*X^2-125064*X-27180, 944784*(4*X+3)*(4*X+5)*(12*X+11)*(12*X+13)]", "text": "Operator equivalent to $\\hat{8}$", "degz": 2, "h3": null, "sol": "1 27180 978471900 38487760088400 1581137831289447900 66654404951318519548752 2858362029664386414591517200 124076717229240558940488795806400 5435193332731790102697615748399911900 239776279063575461111567904104639807816400", "n_discr_factors": "1", "c3": null, "operator": "4 2 0 0 0 0 1 -27180 -125064 -218376 -186624 -93312 2026561680 8404798464 12909528576 8707129344 2176782336", "new_number": "2.45", "id": 39, "operator_tex": "\\theta^4-2^{2} 3^{2} x\\left(2592\\theta^4+5184\\theta^3+6066\\theta^2+3474\\theta+755\\right)+2^{4} 3^{10} x^{2}(4\\theta+3)(4\\theta+5)(12\\theta+11)(12\\theta+13)", "superseek": "-10080 -24400330080", "discriminant": "2 1 -93312 2176782336", "aesz": "~82", "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "11afa89027677e0616228cad62a9f990", "dim_h": null, "inst": " -10080 -11338740 -24400330080 -69157402598340 -228492096441648480 -832633261381593237300 -3247929059465910369725280 -13320222474220854131715112260 -56766484061340352943587658383200 -249381504208512964566809294280601140", "cleanlist": "True", "n_sing_real": "2", "sol_explicit": "", "n_sing_rational": "2", "n_sing": "2", "laurent": null, "discriminant_tex": "(46656z-1)^2", "discr_factors": "2176782336, (z-1/46656)^2", "dm_basis": ["cy[DM_basis]"], "q": "0 1 -16344 123097644 -614114232384 2383466617921230 -7821147556235151648 22735736283182442819768 -60473754046179889792943616 149467076765156908624259683557", "yuk": "1 -10080 -90720000 -658808922240 -4426073857013760 -28561512055206070080 -179848784459083038888960 -1114039667396807256815781120 -6819953906801081741511994490880 -41382766880717117295876061770275040", "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":["cy[T_DM][1]"]},{"re":"1/46656","im":"0","approx_re":"2.14334705075e-05","approx_im":"0.0","exponents":["0","-1/2","1","3/2"],"monodromy":["5/8*3^(1/2)","-1.175097994*I","-.99232078e-1","0","0","-1.082531755","0","-.99232078e-1","3^(1/2)","0","-1.082531755","1.175097994*I","0","3^(1/2)","0","5/8*3^(1/2)"],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["3/4","11/12","13/12","5/4"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -23887872*X^4-47775744*X^3-55655424*X^2-31767552*X-6870384, 247669456896*(4*X+3)*(4*X+5)*(6*X+5)*(6*X+7)]", "text": "Operator equivalent to $\\hat{9}$", "degz": 2, "h3": null, "sol": "1 6870384 63135105483024 634962415293388429056 6673257595142837863377354000 71986102406989118904362479364208384 790036379146606176494961726001356932587776 8777384438562999461812180295008600599747198283776 98414097772622431558079299138839064894016688506869783824 1111300209912858180998170539570061945746419238589883380386604800", "n_discr_factors": "1", "c3": null, "operator": "4 2 0 0 0 0 1 -6870384 -31767552 -55655424 -47775744 -23887872 130026464870400 544872805171200 843066831273984 570630428688384 142657607172096", "new_number": "2.46", "id": 40, "operator_tex": "\\theta^4-2^{4} 3^{2} x\\left(165888\\theta^4+331776\\theta^3+386496\\theta^2+220608\\theta+47711\\right)+2^{22} 3^{10} x^{2}(4\\theta+3)(4\\theta+5)(6\\theta+5)(6\\theta+7)", "superseek": "-2710944 -302270555492914464", "discriminant": "2 1 -23887872 142657607172096", "aesz": null, "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "a06fc8c91c1e4c766fdb1e79370bef7a", "dim_h": null, "inst": " -2710944 -717640301160 -302270555492914464 -171507700573958028578832 -113303073680022744870130144224 -82484798676055003348549397826057288 -64276183599583184977224456348855950775456 -52653757231892955937322647936733547069426386448 -44819112815414314096723796362811056454731450238085888 -39325606386718160464103280505287033132968334413548435056120", "cleanlist": "True", "n_sing_real": "2", "sol_explicit": "", "n_sing_rational": "2", "n_sing": "2", "laurent": null, "discriminant_tex": "(11943936z-1)^2", "discr_factors": "142657607172096, (z-1/11943936)^2", "dm_basis": ["cy[DM_basis]"], "q": "0 1 -4286016 8858340493920 -12317757498723035136 13311908630414139406345776 -12063485006742207889890986010624 9590471592743813721168216488308572672 -6887445644065796917157154606154236954279936 4558315147331586042474318164626583394004596685464", "yuk": "1 -2710944 -5741125120224 -8161304998311401472 -10976492836739054954165472 -14162884210002843108766270738944 -17816716514027880731447980669862184960 -22046730974657032447187988527657591118692352 -26958723702729193439909206720100412838601264026848 -32673133242437034976511647548489260163660532221876013824", "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":["cy[T_DM][1]"]},{"re":"1/11943936","im":"0","approx_re":"8.37244941701e-08","approx_im":"0.0","exponents":["0","-1/2","1","3/2"],"monodromy":["47/24","-4.710333822*I","-1633/576","0","0","-47/24","0","-1633/576","1","0","-47/24","4.710333822*I","0","1","0","47/24"],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["3/4","5/6","7/6","5/4"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -32768*X^4-65536*X^3-76800*X^2-44032*X-9584, 16777216*(4*X+3)*(X+1)^2*(4*X+5)]", "text": "Operator equivalent to $\\hat{10}$", "degz": 2, "h3": null, "sol": "1 9584 121274640 1675847866112 24182028281658640 358036114521815971584 5392260049649786475192576 82203046445619132492175994880 1264588295405567142252592792739088 19591686068092839793724643760547997440", "n_discr_factors": "1", "c3": null, "operator": "4 2 0 0 0 0 1 -9584 -44032 -76800 -65536 -32768 251658240 1040187392 1593835520 1073741824 268435456", "new_number": "2.47", "id": 41, "operator_tex": "\\theta^4-2^{4} x\\left(2048\\theta^4+4096\\theta^3+4800\\theta^2+2752\\theta+599\\right)+2^{24} x^{2}(4\\theta+3)(\\theta+1)^2(4\\theta+5)", "superseek": "-3488 -1142687008", "discriminant": "2 1 -32768 268435456", "aesz": null, "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "413005461e43cfa75125577c2d4c2fde", "dim_h": null, "inst": " -3488 -1406056 -1142687008 -1211614451216 -1500013956719584 -2047565632820782664 -2992130498601611248800 -4596931603702373647469584 -7338906778095272756256582400 -12077720378281710305501331440632", "cleanlist": "True", "n_sing_real": "2", "sol_explicit": "", "n_sing_rational": "2", "n_sing": "2", "laurent": null, "discriminant_tex": "(16384z-1)^2", "discr_factors": "268435456, (z-1/16384)^2", "dm_basis": ["cy[DM_basis]"], "q": "0 1 -5696 14731872 -25158641664 33504667231792 -37915203736676352 38163064333720814080 -35396658050856552890368 30499890168434563551328920", "yuk": "1 -3488 -11251936 -30852552704 -77543336129760 -187501744589951488 -442274176720152856576 -1026300761020352658341888 -2353628981095692850840556768 -5350063041231453839341901122304", "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":["cy[T_DM][1]"]},{"re":"1/16384","im":"0","approx_re":"6.103515625e-05","approx_im":"0.0","exponents":["0","-1/2","1","3/2"],"monodromy":["11/12","-152*lambda","23/288","0","0","-11/12","0","23/288","2","0","-11/12","152*lambda","0","2","0","11/12"],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["3/4","1","1","5/4"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -13824*X^4-27648*X^3-32520*X^2-18696*X-4092, 144*(24*X+19)*(24*X+23)*(24*X+25)*(24*X+29)]", "text": "Operator equivalent to $\\hat{11}$", "degz": 2, "h3": null, "sol": "1 4092 21900060 127808119824 778493560064220 4864445835281624592 30915154660467325392144 198862416703795769079629760 1290800054231513804581286528988 8437496176936232602005911969147280", "n_discr_factors": "1", "c3": null, "operator": "4 2 0 0 0 0 1 -4092 -18696 -32520 -27648 -13824 45622800 186789888 284497920 191102976 47775744", "new_number": "2.48", "id": 42, "operator_tex": "\\theta^4-2^{2} 3 x\\left(1152\\theta^4+2304\\theta^3+2710\\theta^2+1558\\theta+341\\right)+2^{4} 3^{2} x^{2}(24\\theta+19)(24\\theta+23)(24\\theta+25)(24\\theta+29)", "superseek": "-1344 -109320512", "discriminant": "2 1 -13824 47775744", "aesz": "~94", "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "892e497a83d12667b7f189a3d743fb7c", "dim_h": null, "inst": " -1344 -278040 -109320512 -56290146024 -33748229589312 -22302392373176216 -15771533154433137984 -11723446028913912315624 -9054198967017255005869376 -7207637261805347748730595736", "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": ["cy[DM_basis]"], "q": "0 1 -2328 2278188 -1383422528 625233942222 -233196156074016 74363982398450360 -22369416215841486336 5254730843664863999205", "yuk": "1 -1344 -2225664 -2951655168 -3602571571200 -4218528698665344 -4817316755559942144 -5409635871970566329856 -6002404366807525677170688 -6600511046955578902230430272", "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":["cy[T_DM][1]"]},{"re":"1/6912","im":"0","approx_re":"0.000144675925926","approx_im":"0.0","exponents":["0","-1/2","1","3/2"],"monodromy":[".918558654","-.664735808*I",".63788795e-1","0","0","-3/8*2^(1/2)*3^(1/2)","0",".63788795e-1","6^(1/2)","0","-3/8*2^(1/2)*3^(1/2)",".664735808*I","0","6^(1/2)","0",".918558654"],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["19/24","23/24","25/24","29/24"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -221184*X^4-442368*X^3-515712*X^2-294528*X-63600, 36864*(24*X+17)*(24*X+23)*(24*X+25)*(24*X+31)]", "text": "Operator equivalent to $\\hat{12}$", "degz": 2, "h3": null, "sol": "1 63600 5412963600 504140776339200 49063316029156400400 4900834313134236868495104 498038988869289806296472674560 51235571015156106280999811512627200 5319255578266046598386345996291701808400 556172914124215399621824817465692077732140800", "n_discr_factors": "1", "c3": null, "operator": "4 2 0 0 0 0 1 -63600 -294528 -515712 -442368 -221184 11170713600 46798995456 72321859584 48922361856 12230590464", "new_number": "2.49", "id": 43, "operator_tex": "\\theta^4-2^{4} 3 x\\left(4608\\theta^4+9216\\theta^3+10744\\theta^2+6136\\theta+1325\\right)+2^{12} 3^{2} x^{2}(24\\theta+17)(24\\theta+23)(24\\theta+25)(24\\theta+31)", "superseek": "-26400 -230398034080", "discriminant": "2 1 -221184 12230590464", "aesz": null, "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "ffdc338b55d1f4e1f989f4359b06df6c", "dim_h": null, "inst": " -26400 -52511160 -230398034080 -1287524740195200 -8504689433002312800 -61708584266076354876760 -480359168720881336785453600 -3929326831161598997422750327680 -33415396076795648446867221703540480 -292926267946968919350834362619359155560", "cleanlist": "True", "n_sing_real": "2", "sol_explicit": "", "n_sing_rational": "2", "n_sing": "2", "laurent": null, "discriminant_tex": "(110592z-1)^2", "discr_factors": "12230590464, (z-1/110592)^2", "dm_basis": ["cy[DM_basis]"], "q": "0 1 -40128 799887456 -11209830459392 127623510290284080 -1268317275250676520960 11455455573164588853879296 -96422158858235765058842787840 768678921354095883869980973128344", "yuk": "1 -26400 -420115680 -6220746946560 -82401583792608480 -1063086179125289126400 -13329054201478713820416000 -164763194871262298517410611200 -2011815337554738769082031960380640 -24359823739984027717766210842627956480", "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":["cy[T_DM][1]"]},{"re":"1/110592","im":"0","approx_re":"9.04224537037e-06","approx_im":"0.0","exponents":["0","-1/2","1","3/2"],"monodromy":["1.001734607","-1.096529708*I","-.2455232e-2","0","0","-1.001734607","0","-.2455232e-2","2^(1/2)","0","-1.001734607","1.096529708*I","0","2^(1/2)","0","1.001734607"],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["17/24","23/24","25/24","31/24"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -1492992*X^4-2985984*X^3-3462912*X^2-1969920*X-421488, 61917364224*(X+1)^2*(3*X+2)*(3*X+4)]", "text": "Operator equivalent to $\\hat{13}$ of AESZ", "degz": 2, "h3": null, "sol": "1 421488 241251334416 151434902650832640 99396938275247309913360 66982705221295861052979103488 45930793402209870606388009729630464 31886179044933974315938584958002702348288 22340825763852816148179255097826365737157270800 15765005459624533462430649410473718251082308459411200", "n_discr_factors": "1", "c3": null, "operator": "4 2 0 0 0 0 1 -421488 -1969920 -3462912 -2985984 -1492992 495338913792 2105190383616 3281620303872 2229025112064 557256278016", "new_number": "2.50", "id": 45, "operator_tex": "\\theta^4-2^{4} 3^{2} x\\left(10368\\theta^4+20736\\theta^3+24048\\theta^2+13680\\theta+2927\\right)+2^{20} 3^{10} x^{2}(\\theta+1)^2(3\\theta+2)(3\\theta+4)", "superseek": "-201888 -40177844666400", "discriminant": "2 1 -1492992 557256278016", "aesz": null, "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "5309f0b5a4362f22faafad07a0eb1bb8", "dim_h": null, "inst": " -201888 -1567499400 -40177844666400 -988883543512335600 -35724019937142805037280 -1195288040031739680397888488 -49312571274502247527094531355552 -1905860636049170652686484217667001072 -84374002677576442597036996400924744725248 -3545810526263846884467644423184211250751003480", "cleanlist": "True", "n_sing_real": "2", "sol_explicit": "", "n_sing_rational": "2", "n_sing": "2", "laurent": null, "discriminant_tex": "(746496z-1)^2", "discr_factors": "557256278016, (z-1/746496)^2", "dm_basis": ["cy[DM_basis]"], "q": "0 1 -283968 43688105568 -5012704879896576 485518167363736868400 -42145587318746541132269568 3389377748957383965350280086016 -257686932189379034887694891704516608 18767233043532518749154918865211905653400", "yuk": "1 -201888 -12540197088 -1084801806194688 -63288546797329675488 -4465502492142850629861888 -258182216646856855780290103296 -16914211947154270901793424255156224 -975800645657175374238768466242834224352 -61508647951953226653239970377358940710900480", "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":["cy[T_DM][1]"]},{"re":"1/746496","im":"0","approx_re":"1.33959190672e-06","approx_im":"0.0","exponents":["0","-1/2","1","3/2"],"monodromy":["23/24","-I*arctan(809/331)","47/576","0","0","-23/24","0","47/576","1","0","-23/24","I*arctan(809/331)","0","1","0","23/24"],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["2/3","1","1","4/3"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -55296*X^4-110592*X^3-129792*X^2-74496*X-16272, 589824*(6*X+5)^2*(6*X+7)^2]", "text": "Operator equivalent to $\\widehat{14}$\nB-Incarnations:\nDouble octics: D.O.267, D.O.275\n", "degz": 2, "h3": null, "sol": "1 16272 347859216 8115450239232 197661638029770000 4939323290720374102272 125545467132215522356011264 3229945005723515366266945769472 83854302031408839697482462668004624 2192358351404405686911606811524026476800", "n_discr_factors": "1", "c3": null, "operator": "4 2 0 0 0 0 1 -16272 -74496 -129792 -110592 -55296 722534400 2972712960 4544004096 3057647616 764411904", "new_number": "2.51", "id": 46, "operator_tex": "\\theta^4-2^{4} 3 x\\left(1152\\theta^4+2304\\theta^3+2704\\theta^2+1552\\theta+339\\right)+2^{16} 3^{2} x^{2}(6\\theta+5)^2(6\\theta+7)^2", "superseek": "-5472 -6444589536", "discriminant": "2 1 -55296 764411904", "aesz": "~88,~89", "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "02d09c6c320ab036e45834cf0d3951e7", "dim_h": null, "inst": " -5472 -4476528 -6444589536 -12228845295024 -27012506850929952 -65769234065535209904 -171356481979219041756768 -469285283914523702214769584 -1335325854497322666224363076864 -3916395562729225852578594898891728", "cleanlist": "True", "n_sing_real": "2", "sol_explicit": "", "n_sing_rational": "2", "n_sing": "2", "laurent": null, "discriminant_tex": "(27648z-1)^2", "discr_factors": "764411904, (z-1/27648)^2", "dm_basis": ["cy[DM_basis]"], "q": "0 1 -9408 38014560 -95305603072 175967420118576 -262791111112390656 332714240865107067392 -378185551721944620859392 367629071696971948082543256", "yuk": "1 -5472 -35817696 -174003922944 -782646134699232 -3376563356366249472 -14206154558329645074432 -58775273318872131322576896 -240274065364236918180096726240 -973452547928548223677734686956800", "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":["cy[T_DM][1]"]},{"re":"1/27648","im":"0","approx_re":"3.61689814815e-05","approx_im":"0.0","exponents":["0","-1/2","1","3/2"],"monodromy":["7/6","I*(-7/8-1/8*ln(2)^(1/2)-1/4/ln(2)^(1/2))","-13/72","0","0","-7/6","0","-13/72","2","0","-7/6","I*(7/8+1/8*ln(2)^(1/2)+1/4/ln(2)^(1/2))","0","2","0","7/6"],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["5/6","5/6","7/6","7/6"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, 264*X^4+528*X^3+586*X^2+322*X+70, 100*(X+1)^2*(228*X^2+456*X+335), 40000*(X+1)*(X+2)*(4*X+5)*(4*X+7)]", "text": "This is operator \"3.26\" from ...", "degz": 3, "h3": null, "sol": "1 -70 5650 -484900 43071250 -3910845820 360556161100 -33614244139000 3160609857375250 -299175771274607500", "n_discr_factors": "2", "c3": null, "operator": "4 3 0 0 0 0 1 70 322 586 528 264 33500 112600 147500 91200 22800 2800000 8040000 8440000 3840000 640000", "new_number": "3.26", "id": 88, "operator_tex": "\\theta^4+2 x\\left(132\\theta^4+264\\theta^3+293\\theta^2+161\\theta+35\\right)+2^{2} 5^{2} x^{2}(\\theta+1)^2(228\\theta^2+456\\theta+335)+2^{6} 5^{4} x^{3}(\\theta+1)(\\theta+2)(4\\theta+5)(4\\theta+7)", "superseek": "2 440", "discriminant": "3 1 264 22800 640000", "aesz": "407", "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "c46d32ba4b3738ba34fe1e6c16e6f242", "dim_h": null, "inst": " 2 -44 440 -4844 46268 -452800 5683556 -112203980 2492707170 -48960763800", "cleanlist": "True", "n_sing_real": "3", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "3", "laurent": null, "discriminant_tex": "(64z+1)(1+100z)^2", "discr_factors": "640000, z+1/64, (1/100+z)^2", "dm_basis": null, "q": "0 1 42 1191 29348 631875 12955494 248209377 4613546472 82700284542", "yuk": "1 2 -350 11882 -310366 5783502 -97793270 1949459710 -57448748126 1817183538812", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/64","im":"0","approx_re":"-0.015625","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/100","im":"0","approx_re":"-0.01","approx_im":"0.0","exponents":["0","-1/2","1","3/2"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1","5/4","7/4","2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, 1520*X^4+3040*X^3+3628*X^2+2108*X+468, 48*(8*X+7)*(8*X+9)*(184*X^2+368*X+183), -2304*(8*X+7)*(8*X+9)*(8*X+15)*(8*X+17)]", "text": "This is operator \"3.30\" from ...", "degz": 3, "h3": null, "sol": "1 -468 280260 -182276400 123566444100 -85879420467984 60687113107853232 -43397331150034255680 31311248878287843250500 -22748313393317586896936400", "n_discr_factors": "2", "c3": null, "operator": "4 3 0 0 0 0 1 468 2108 3628 3040 1520 553392 2237184 3379584 2260992 565248 -37013760 -112361472 -122388480 -56623104 -9437184", "new_number": "3.30", "id": 93, "operator_tex": "\\theta^4+2^{2} x\\left(380\\theta^4+760\\theta^3+907\\theta^2+527\\theta+117\\right)+2^{4} 3 x^{2}(8\\theta+7)(8\\theta+9)(184\\theta^2+368\\theta+183)-2^{8} 3^{2} x^{3}(8\\theta+7)(8\\theta+9)(8\\theta+15)(8\\theta+17)", "superseek": "124 2152276/9", "discriminant": "3 1 1520 565248 -9437184", "aesz": "422", "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "b37ac82ae57415849cb59beac4cd6adf", "dim_h": null, "inst": " 124 -3752 2152276/9 -18042588 1647569184 -488546716648/3 17336980726260 -1932269953838572 2016482193700422080/9 -26749904420661095360", "cleanlist": "True", "n_sing_real": "3", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "3", "laurent": null, "discriminant_tex": "-(16z-1)(1+768z)^2", "discr_factors": "-9437184, z-1/16, (1/768+z)^2", "dm_basis": null, "q": "0 1 236 17070 370928 -25496331 -2373105240 -136642687854 303716869824 -382287844111230", "yuk": "1 124 -29892 6456952 -1154755524 205946148124 -35175357171720 5946584389107304 -989322217520104388 163335057689740645432", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/768","im":"0","approx_re":"-0.00130208333333","approx_im":"0.0","exponents":["0","-1/2","1","3/2"],"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","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["7/8","9/8","15/8","17/8"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -16*(6*X^2+6*X-1)*(2*X+1)^2, -1024*(60*X^2+120*X+97)*(X+1)^2, -2097152*(X+1)^2*(X+2)^2]", "text": "Operator equivalent to AESZ 220\nB-Incarnation:\nDouble octic:D.O.244\n", "degz": 3, "h3": null, "sol": "1 -16 4624 678656 238896400 78921123584 28795404472576 10989711065624576 4357137165828119824 1777961858596677574400", "n_discr_factors": "2", "c3": null, "operator": "4 3 0 0 0 0 1 16 -32 -416 -768 -384 -99328 -321536 -406528 -245760 -61440 -8388608 -25165824 -27262976 -12582912 -2097152", "new_number": "3.32", "id": 95, "operator_tex": "\\theta^4-2^{4} x(6\\theta^2+6\\theta-1)(2\\theta+1)^2-2^{10} x^{2}(60\\theta^2+120\\theta+97)(\\theta+1)^2-2^{21} x^{3}(\\theta+1)^2(\\theta+2)^2", "superseek": "128 382592", "discriminant": "3 1 -384 -61440 -2097152", "aesz": null, "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "9b39b616939718654c472dbfb37cdd4e", "dim_h": null, "inst": " 128 4084 382592 51510860 8644861312 1659459740132 349956800171136 79045292244127852 18815837160365104128 4668098318162928620860", "cleanlist": "True", "n_sing_real": "3", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "3", "laurent": null, "discriminant_tex": "-(512z-1)(1+64z)^2", "discr_factors": "-2097152, z-1/512, (1/64+z)^2", "dm_basis": null, "q": "0 1 -96 -3360 47104 -59645904 -11999339520 -2746669569536 -697657825099776 -183142363318091112", "yuk": "1 128 32800 10330112 3296727840 1080607664128 358443314231296 120035182458699776 40471189632290188064 13716745289906171239424", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/64","im":"0","approx_re":"-0.015625","approx_im":"0.0","exponents":["0","-1/2","1","3/2"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"1/512","im":"0","approx_re":"0.001953125","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","1","2","2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, 340*X^2+288*X^3+44+196*X+144*X^4, 16*(8*X^2+16*X+11)*(48*X^2+96*X+49), 256*(4*X+7)^2*(4*X+5)^2]", "text": "Operator equivalent to AESZ 353", "degz": 3, "h3": null, "sol": "1 -44 2244 -122576 6952516 -403676400 23812437936 -1420801573056 85507689001284 -5180844331813424", "n_discr_factors": "2", "c3": null, "operator": "4 3 0 0 0 0 1 44 196 340 288 144 8624 29440 39296 24576 6144 313600 860160 876544 393216 65536", "new_number": "3.33", "id": 96, "operator_tex": "\\theta^4+2^{2} x\\left(36\\theta^4+72\\theta^3+85\\theta^2+49\\theta+11\\right)+2^{4} x^{2}(8\\theta^2+16\\theta+11)(48\\theta^2+96\\theta+49)+2^{8} x^{3}(4\\theta+7)^2(4\\theta+5)^2", "superseek": "4 1580/9", "discriminant": "3 1 144 6144 65536", "aesz": null, "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "da01a7b2dfcebe6e332be6c29ed2a8e5", "dim_h": null, "inst": " 4 -25 1580/9 -1580 17120 -1864211/9 2660236 -35601596 493759552 -7061895928", "cleanlist": "True", "n_sing_real": "3", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "3", "laurent": null, "discriminant_tex": "(16z+1)(1+64z)^2", "discr_factors": "65536, (1/64+z)^2, z+1/16", "dm_basis": null, "q": "0 1 20 174 1808 10485 97368 267922 6478144 -38096766", "yuk": "1 4 -196 4744 -101316 2140004 -44736520 912460952 -18228118468 359950718152", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/16","im":"0","approx_re":"-0.0625","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","-1/2","1","3/2"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["5/4","5/4","7/4","7/4"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -1296*(X+1/2)^4-1152*(X+1/2)^2-33, 443232*(X+1)^4+90072*(X+1)^2+7308, -3779136*(X+3/2)^2*(4*(X+3/2)^2+3), 944784*(2*X+3)*(2*X+5)*(6*X+11)*(6*X+13)]", "text": "YY-Operator equivalent to AESZ 170=$d \\ast h \\tilde B \\ast \\epsilon$", "degz": 4, "h3": null, "sol": "1 402 197010 104962956 58311249066 33214816772676 19237340237054940 11275171083526676040 6667676790890365989882 3970438396828869620358132", "n_discr_factors": "1", "c3": null, "operator": "4 4 0 0 0 0 1 -402 -1800 -3096 -2592 -1296 540612 1953072 2749464 1772928 443232 -102036672 -238085568 -215410752 -90699264 -15116544 2026561680 4202399232 3227382144 1088391168 136048896", "new_number": "4.10", "id": 105, "operator_tex": "\\theta^4-2 3 x\\left(216\\theta^4+432\\theta^3+516\\theta^2+300\\theta+67\\right)+2^{2} 3^{2} x^{2}\\left(12312\\theta^4+49248\\theta^3+76374\\theta^2+54252\\theta+15017\\right)-2^{6} 3^{10} x^{3}(\\theta^2+3\\theta+3)(2\\theta+3)^2+2^{4} 3^{10} x^{4}(2\\theta+3)(2\\theta+5)(6\\theta+11)(6\\theta+13)", "superseek": "-84 -148820", "discriminant": "4 1 -1296 443232 -15116544 136048896", "aesz": null, "n_sing_complex": "1", "inst_int": "", "c2h": null, "hash": "fc2837f1001e57a5cc53749a08d4f2bf", "dim_h": null, "inst": " -84 -5271/2 -148820 -41373213/4 -836813460 -149029320727/2 -7085845912404 -2830424545606623/4 -73374371515541012 -15677869461132014535/2", "cleanlist": "True", "n_sing_real": "1", "sol_explicit": "", "n_sing_rational": "1", "n_sing": "2", "laurent": null, "discriminant_tex": "(1-648z+11664z^2)^2", "discr_factors": "136048896, (1/11664-1/18*z+z^2)^2", "dm_basis": null, "q": "0 1 -192 11916 -559360 30385806 -1707803136 54439705208 -4825641228288 -74261173085595", "yuk": "1 -84 -21168 -4018224 -661992576 -104601682584 -16095170677824 -2430445147954656 -362294342499640320 -53489916834833415972", "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":"s_1","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["-1/2","0","1","3/2"],"monodromy":[],"monodromy_dm":[]},{"re":"s_2","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["-1/2","0","1","3/2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/36-1/54*2^(1/2)","im":"0","approx_re":"0.001589","approx_im":"0.0","exponents":["0","-1/2","1","3/2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/36+1/54*2^(1/2)","im":"0","approx_re":"0.053967","approx_im":"0.0","exponents":["0","-1/2","1","3/2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["3/2","11/6","13/6","5/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -972*(X+1/2)^4-864*(X+1/2)^2-99/4, 196830*(X+1)^4-251505/2*(X+1)^2-46413/4, 4782969*(X+3/2)^2*(4*(X+3/2)^2+3), 43046721/16*(2*X+3)*(2*X+5)*(6*X+11)*(6*X+13)]", "text": "This is operator \"4.11\" from ...", "degz": 4, "h3": null, "sol": "1 603/2 1008855/8 898513875/16 3331190162475/128 3161945411895501/256 6099993792665917011/1024 5952504034504427078115/2048 46875561168026465063658675/32768 46457746073264645346945105225/65536", "n_discr_factors": "1", "c3": null, "operator": "4 4 0 0 0 0 1 -603/2 -1350 -2322 -1944 -972 237897/4 535815 2110455/2 787320 196830 129140163 301327047 272629233 114791256 19131876 92335216545/16 11966988438 18380949867/2 3099363912 387420489", "new_number": "4.11", "id": 106, "operator_tex": "\\theta^4-x\\left(972\\theta^4+1944\\theta^3+2322\\theta^2+1350\\theta+603/2\\right)+x^{2}\\left(196830\\theta^4+787320\\theta^3+2110455/2\\theta^2+535815\\theta+237897/4\\right)+3^{14} x^{3}(\\theta^2+3\\theta+3)(2\\theta+3)^2+x^{4}43046721/16(2\\theta+3)(2\\theta+5)(6\\theta+11)(6\\theta+13)", "superseek": "-63 -96866", "discriminant": "4 1 -972 196830 19131876 387420489", "aesz": null, "n_sing_complex": "1", "inst_int": "", "c2h": null, "hash": "39ed55f37672c58e7ce182c4c33d4a66", "dim_h": null, "inst": " -63 -8757/4 -96866 -6253821 -446217723 -71032541839/2 -3003468049764 -267200854617627 -24665476255290500 -9385209703933096257/4", "cleanlist": "True", "n_sing_real": "1", "sol_explicit": "", "n_sing_rational": "1", "n_sing": "2", "laurent": null, "discriminant_tex": "(-1+486z+19683z^2)^2", "discr_factors": "387420489, (-1/19683+2/81*z+z^2)^2", "dm_basis": null, "q": "0 1 -144 2106 395286 -22796343 -78199830 35931296835 -2490116826726 -108328486058532", "yuk": "1 -63 -17577 -2615445 -400262121 -55777215438 -7671517151571 -1030189541069115 -136806837964487145 -17981132190109389945", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/81-2/243*3^(1/2)","im":"0","approx_re":"-0.026601","approx_im":"0.0","exponents":["0","-1/2","1","3/2"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"s_1","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["-1/2","0","1","3/2"],"monodromy":[],"monodromy_dm":[]},{"re":"s_2","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["-1/2","0","1","3/2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/81+2/243*3^(1/2)","im":"0","approx_re":"0.00191","approx_im":"0.0","exponents":["0","-1/2","1","3/2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["3/2","11/6","13/6","5/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -1188*(X+1/2)^4-1092*(X+1/2)^2-141/4, 535086*(X+1)^4+1287495/2*(X+1)^2+223011/4, -820125*(X+3/2)^2*(132*(X+3/2)^2+103), 922640625/16*(2*X+3)*(2*X+5)*(6*X+11)*(6*X+13)]", "text": "YY-operator equivalent to AESZ $=b \\ast h ~B \\ast \\eta$", "degz": 4, "h3": null, "sol": "1 765/2 1009575/8 627988725/16 1505754528075/128 876427978866363/256 992952700080876675/1024 547116035902478345925/2048 2338776827733813875961075/32768 1204708667299330204097718975/65536", "n_discr_factors": "1", "c3": null, "operator": "4 4 0 0 0 0 1 -765/2 -1686 -2874 -2376 -1188 4938345/4 3427839 7708527/2 2140344 535086 -738112500 -1714881375 -1545935625 -649539000 -108256500 1979064140625/16 256494093750 393967546875/2 66430125000 8303765625", "new_number": "4.12", "id": 107, "operator_tex": "\\theta^4-x\\left(1188\\theta^4+2376\\theta^3+2874\\theta^2+1686\\theta+765/2\\right)+x^{2}\\left(535086\\theta^4+2140344\\theta^3+7708527/2\\theta^2+3427839\\theta+4938345/4\\right)-3^{8} 5^{3} x^{3}(33\\theta^2+99\\theta+100)(2\\theta+3)^2+x^{4}922640625/16(2\\theta+3)(2\\theta+5)(6\\theta+11)(6\\theta+13)", "superseek": "-45 7080", "discriminant": "4 1 -1188 535086 -108256500 8303765625", "aesz": null, "n_sing_complex": "1", "inst_int": "", "c2h": null, "hash": "6c95cb50a57e8a1c96a5a4e3e353cb85", "dim_h": null, "inst": " -45 -135 7080 406035 17168436 631199430 17671792905 115936332615 -29577913105800 -2692376094481614", "cleanlist": "True", "n_sing_real": "1", "sol_explicit": "", "n_sing_rational": "1", "n_sing": "2", "laurent": null, "discriminant_tex": "(1-594z+91125z^2)^2", "discr_factors": "8303765625, (1/91125-22/3375*z+z^2)^2", "dm_basis": null, "q": "0 1 -156 18144 -1724866 150548730 -12113124102 936247114643 -69434363509134 5017792372971057", "yuk": "1 -45 -1125 191115 25985115 2146054455 136339266915 6061424966370 59359428283995 -21562298653937085", "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":"s_1","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["-1/2","0","1","3/2"],"monodromy":[],"monodromy_dm":[]},{"re":"s_2","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["-1/2","0","1","3/2"],"monodromy":[],"monodromy_dm":[]},{"re":"11/3375","im":"-2/3375","approx_re":"0.00325925925926","approx_im":"-0.000592592592593","exponents":["0","-1/2","1","3/2"],"monodromy":[],"monodromy_dm":[]},{"re":"11/3375","im":"2/3375","approx_re":"0.00325925925926","approx_im":"0.000592592592593","exponents":["0","-1/2","1","3/2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["3/2","11/6","13/6","5/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -2560*(X+1/2)^4-2296*(X+1/2)^2-70, 2162688*(X+1)^4+1824768*(X+1)^2+157968, -2097152*(X+3/2)^2*(320*(X+3/2)^2+237), 1073741824*(2*X+3)*(2*X+5)*(4*X+7)*(4*X+9)]", "text": "YY-Operator equivalent to AESZ 37$=C \\ast \\alpha ~tilde c \\ast i$", "degz": 4, "h3": null, "sol": "1 804 655260 563879792 505573095132 465896958146928 437354371109864208 415950446183712897600 399419538832058760105948 386388886442070524565149168", "n_discr_factors": "2", "c3": null, "operator": "4 4 0 0 0 0 1 -804 -3576 -6136 -5120 -2560 4145424 12300288 14800896 8650752 2162688 -4515692544 -10550771712 -9556721664 -4026531840 -671088640 1014686023680 2113123909632 1627792605184 549755813888 68719476736", "new_number": "4.13", "id": 108, "operator_tex": "\\theta^4-2^{2} x\\left(640\\theta^4+1280\\theta^3+1534\\theta^2+894\\theta+201\\right)+2^{4} 3 x^{2}\\left(45056\\theta^4+180224\\theta^3+308352\\theta^2+256256\\theta+86363\\right)-2^{19} x^{3}(320\\theta^2+960\\theta+957)(2\\theta+3)^2+2^{30} x^{4}(2\\theta+3)(2\\theta+5)(4\\theta+7)(4\\theta+9)", "superseek": "-128 -1546624/3", "discriminant": "4 1 -2560 2162688 -671088640 68719476736", "aesz": "~37", "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "c03e4e4ca58f9f1f76c98c8616bc2cbd", "dim_h": null, "inst": " -128 -5232 -1546624/3 -64705008 -7960717440 -1089730087792 -162852262064256 -25631728909937136 -12497550359574176128/3 -696752685957410152304", "cleanlist": "True", "n_sing_real": "3", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "3", "laurent": null, "discriminant_tex": "(1024z-1)^2(256z-1)^2", "discr_factors": "68719476736, (z-1/1024)^2, (z-1/256)^2", "dm_basis": null, "q": "0 1 -360 70956 -14059968 2347124430 -366393345504 54715249671864 -7875068403264000 1076803003734521061", "yuk": "1 -128 -41984 -13919744 -4141162496 -995089680128 -235381712924672 -55858325888039936 -13123445206028976128 -3036904737376538718848", "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":"1/1024","im":"0","approx_re":"0.0009765625","approx_im":"0.0","exponents":["0","-1/2","1","3/2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/256","im":"0","approx_re":"0.00390625","approx_im":"0.0","exponents":["0","-1/2","1","3/2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["3/2","7/4","9/4","5/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -4352*(X+1/2)^4-3788*(X+1/2)^2-101, 4743168*(X+1)^4-16128*(X+1)^2+5760, -16384*(X+3/2)^2*(1088*(X+3/2)^2+777), 262144*(2*X+3)*(2*X+5)*(4*X+7)*(4*X+9)]", "text": "YY-Operator equivalent to AESZ 52 $=C \\ast \\gamma \\tilde g \\ast i$", "degz": 4, "h3": null, "sol": "1 1320 2233320 4108451200 7880762169000 15500666950276032 31002086442385793280 62750084039647601541120 128151536375757747156690600 263545260900330847296670945600", "n_discr_factors": "1", "c3": null, "operator": "4 4 0 0 0 0 1 -1320 -5964 -10316 -8704 -4352 4732800 18940416 28442880 18972672 4743168 -118886400 -278839296 -253378560 -106954752 -17825792 247726080 515899392 397410304 134217728 16777216", "new_number": "4.14", "id": 109, "operator_tex": "\\theta^4-2^{2} x\\left(1088\\theta^4+2176\\theta^3+2579\\theta^2+1491\\theta+330\\right)+2^{7} 3 x^{2}\\left(12352\\theta^4+49408\\theta^3+74070\\theta^2+49324\\theta+12325\\right)-2^{12} x^{3}(1088\\theta^2+3264\\theta+3225)(2\\theta+3)^2+2^{18} x^{4}(2\\theta+3)(2\\theta+5)(4\\theta+7)(4\\theta+9)", "superseek": "-340 -15174100/3", "discriminant": "4 1 -4352 4743168 -17825792 16777216", "aesz": null, "n_sing_complex": "1", "inst_int": "", "c2h": null, "hash": "a961869d91c2f73091913e8f8c4b5fa0", "dim_h": null, "inst": " -340 -31985 -15174100/3 -1036481610 -246612212640 -193707689567825/3 -18075181026722460 -5315792147784226530 -4871206859483840096080/3 -511100579616840965458760", "cleanlist": "True", "n_sing_real": "1", "sol_explicit": "", "n_sing_rational": "1", "n_sing": "2", "laurent": null, "discriminant_tex": "(1-2176z+4096z^2)^2", "discr_factors": "16777216, (1/4096-17/32*z+z^2)^2", "dm_basis": null, "q": "0 1 -684 159966 -18790896 1346499885 -101313680232 1393122481170 -2524801413772992 -640923118711447290", "yuk": "1 -340 -256220 -136567240 -66335079260 -30826526580340 -13946953785706520 -6199787092165804120 -2721685579731859062620 -1183703266854573279914680", "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":"s_1","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["-1/2","0","1","3/2"],"monodromy":[],"monodromy_dm":[]},{"re":"s_2","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["-1/2","0","1","3/2"],"monodromy":[],"monodromy_dm":[]},{"re":"17/64-3/16*2^(1/2)","im":"0","approx_re":"0.00046","approx_im":"0.0","exponents":["0","-1/2","1","3/2"],"monodromy":[],"monodromy_dm":[]},{"re":"17/64+3/16*2^(1/2)","im":"0","approx_re":"0.53079","approx_im":"0.0","exponents":["0","-1/2","1","3/2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["3/2","7/4","9/4","5/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -1792*(X+1/2)^4-1620*(X+1/2)^2-51, 1466368*(X+1)^4+2265344*(X+1)^2+196992, -1327104*(X+3/2)^2*(448*(X+3/2)^2+335), 1719926784*(2*X+3)*(2*X+5)*(4*X+7)*(4*X+9)]", "text": "YY-Operator equivalent to AESZ 152 $=C \\ast \\delta ~tilde \\alpha \\ast i$", "degz": 4, "h3": null, "sol": "1 568 207720 25669504 -32774007128 -33531981809856 -18504054035460864 -5834315674341826560 490963612772074612392 2144977565489285442014656", "n_discr_factors": "1", "c3": null, "operator": "4 4 0 0 0 0 1 -568 -2516 -4308 -3584 -1792 3928704 10396160 11063552 5865472 1466368 -4010176512 -9360064512 -8470904832 -3567255552 -594542592 1625330810880 3384815910912 2607409004544 880602513408 110075314176", "new_number": "4.15", "id": 110, "operator_tex": "\\theta^4-2^{2} x\\left(448\\theta^4+896\\theta^3+1077\\theta^2+629\\theta+142\\right)+2^{7} x^{2}\\left(11456\\theta^4+45824\\theta^3+86434\\theta^2+81220\\theta+30693\\right)-2^{12} 3^{4} x^{3}(448\\theta^2+1344\\theta+1343)(2\\theta+3)^2+2^{18} 3^{8} x^{4}(2\\theta+3)(2\\theta+5)(4\\theta+7)(4\\theta+9)", "superseek": "-76 415420", "discriminant": "4 1 -1792 1466368 -594542592 110075314176", "aesz": null, "n_sing_complex": "1", "inst_int": "", "c2h": null, "hash": "d8c866a60b2b4edb0c88e03315fa2a7b", "dim_h": null, "inst": " -76 2958 415420 17891650 -1211214176 -318737280294 -23481434881860 1222575736557290 489910761382234864 45969766146854950768", "cleanlist": "True", "n_sing_real": "1", "sol_explicit": "", "n_sing_rational": "1", "n_sing": "2", "laurent": null, "discriminant_tex": "(331776z^2-896z+1)^2", "discr_factors": "110075314176, (z^2-7/2592*z+1/331776)^2", "dm_basis": null, "q": "0 1 -244 67038 -11065488 2080590637 -311558771544 48546840405778 -6877593269132096 978116260390106886", "yuk": "1 -76 23588 11216264 1145089188 -151401772076 -68847241303576 -8054132164478056 625958778262421668 357144945047660432120", "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":"s_1","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["-1/2","0","1","3/2"],"monodromy":[],"monodromy_dm":[]},{"re":"s_2","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["-1/2","0","1","3/2"],"monodromy":[],"monodromy_dm":[]},{"re":"7/5184","im":"-1/1296*2^(1/2)","approx_re":"0.00135030864198","approx_im":"-0.001091","exponents":["0","-1/2","1","3/2"],"monodromy":[],"monodromy_dm":[]},{"re":"7/5184","im":"1/1296*2^(1/2)","approx_re":"0.00135030864198","approx_im":"0.001091","exponents":["0","-1/2","1","3/2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["3/2","7/4","9/4","5/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -3072*(X+1/2)^4-2704*(X+1/2)^2-76, 2490368*(X+1)^4+462848*(X+1)^2+41472, -1048576*(X+3/2)^2*(192*(X+3/2)^2+139), 67108864*(2*X+3)*(2*X+5)*(4*X+7)*(4*X+9)]", "text": "YY-Operator equivalent to $C \\ast \\epsilon ~d \\ast i$", "degz": 4, "h3": null, "sol": "1 944 1093840 1379945728 1816122981136 2451227225468672 3364375797938504960 4673256047979115089920 6549780543792076135009552 9243985820818857390612566784", "n_discr_factors": "1", "c3": null, "operator": "4 4 0 0 0 0 1 -944 -4240 -7312 -6144 -3072 2994688 10887168 15405056 9961472 2490368 -1347158016 -3155165184 -2863661056 -1207959552 -201326592 63417876480 132070244352 101737037824 34359738368 4294967296", "new_number": "4.16", "id": 111, "operator_tex": "\\theta^4-2^{4} x\\left(192\\theta^4+384\\theta^3+457\\theta^2+265\\theta+59\\right)+2^{9} x^{2}\\left(4864\\theta^4+19456\\theta^3+30088\\theta^2+21264\\theta+5849\\right)-2^{18} x^{3}(192\\theta^2+576\\theta+571)(2\\theta+3)^2+2^{26} x^{4}(2\\theta+3)(2\\theta+5)(4\\theta+7)(4\\theta+9)", "superseek": "-208 -1863312", "discriminant": "4 1 -3072 2490368 -201326592 4294967296", "aesz": null, "n_sing_complex": "1", "inst_int": "", "c2h": null, "hash": "ff22b96c1af3d06292a97d4dee085628", "dim_h": null, "inst": " -208 -15098 -1863312 -284211001 -50414626800 -9859373378738 -2058387737996368 -451368681647582495 -102784607370050148224 -24115956485115626688670", "cleanlist": "True", "n_sing_real": "1", "sol_explicit": "", "n_sing_rational": "1", "n_sing": "2", "laurent": null, "discriminant_tex": "(1-1536z+65536z^2)^2", "discr_factors": "4294967296, (1/65536-3/128*z+z^2)^2", "dm_basis": null, "q": "0 1 -464 73984 -8463360 1129673136 -149983806976 14521322394624 -2003739846541312 96130548058708120", "yuk": "1 -208 -120992 -50309632 -18189625056 -6301828350208 -2129624700237824 -706026994132754432 -231100765021751862496 -74929978772766608364928", "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":"s_1","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["-1/2","0","1","3/2"],"monodromy":[],"monodromy_dm":[]},{"re":"s_2","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["-1/2","0","1","3/2"],"monodromy":[],"monodromy_dm":[]},{"re":"3/256-1/128*2^(1/2)","im":"0","approx_re":"0.00067","approx_im":"0.0","exponents":["0","-1/2","1","3/2"],"monodromy":[],"monodromy_dm":[]},{"re":"3/256+1/128*2^(1/2)","im":"0","approx_re":"0.022767","approx_im":"0.0","exponents":["0","-1/2","1","3/2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["3/2","7/4","9/4","5/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -2304*(X+1/2)^4-2028*(X+1/2)^2-57, 1105920*(X+1)^4-725760*(X+1)^2-62928, 1327104*(X+3/2)^2*(192*(X+3/2)^2+139), 191102976*(2*X+3)*(2*X+5)*(4*X+7)*(4*X+9)]", "text": "YY-Operator equivalent to $C \\ast \\zeta ~tilde f \\ast i$", "degz": 4, "h3": null, "sol": "1 708 700740 738956400 811309522500 912383013204432 1042806404789628336 1205821890196940427840 1406588787702335655346500 1652031692435448147788250000", "n_discr_factors": "1", "c3": null, "operator": "4 4 0 0 0 0 1 -708 -3180 -5484 -4608 -2304 317232 2972160 5909760 4423680 1105920 1704996864 3993255936 3624321024 1528823808 254803968 180592312320 376090656768 289712111616 97844723712 12230590464", "new_number": "4.17", "id": 112, "operator_tex": "\\theta^4-2^{2} 3 x\\left(192\\theta^4+384\\theta^3+457\\theta^2+265\\theta+59\\right)+2^{4} 3^{2} x^{2}\\left(7680\\theta^4+30720\\theta^3+41040\\theta^2+20640\\theta+2203\\right)+2^{12} 3^{4} x^{3}(192\\theta^2+576\\theta+571)(2\\theta+3)^2+2^{18} 3^{6} x^{4}(2\\theta+3)(2\\theta+5)(4\\theta+7)(4\\theta+9)", "superseek": "-156 -1229332", "discriminant": "4 1 -2304 1105920 254803968 12230590464", "aesz": null, "n_sing_complex": "1", "inst_int": "", "c2h": null, "hash": "245e2566c8da93abbfc4296923ccba12", "dim_h": null, "inst": " -156 -12549 -1229332 -175559052 -27542017056 -4847609100799 -903993545346132 -177568890996902412 -108530823268261557056/3 -7596937360026971320344", "cleanlist": "True", "n_sing_real": "1", "sol_explicit": "", "n_sing_rational": "1", "n_sing": "2", "laurent": null, "discriminant_tex": "(-1+1152z+110592z^2)^2", "discr_factors": "12230590464, (-1/110592+1/96*z+z^2)^2", "dm_basis": null, "q": "0 1 -348 15534 5476048 -832252683 6797095992 8198150318738 -1105289746060224 -45282071782478718", "yuk": "1 -156 -100548 -33192120 -11235879876 -3442752132156 -1047083599065096 -310069786053723432 -90915272201649914820 -26372990054187591556728", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/192-1/288*3^(1/2)","im":"0","approx_re":"-0.011222","approx_im":"0.0","exponents":["0","-1/2","1","3/2"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"s_1","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["-1/2","0","1","3/2"],"monodromy":[],"monodromy_dm":[]},{"re":"s_2","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["-1/2","0","1","3/2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/192+1/288*3^(1/2)","im":"0","approx_re":"0.000806","approx_im":"0.0","exponents":["0","-1/2","1","3/2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["3/2","7/4","9/4","5/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -2816*(X+1/2)^4-2564*(X+1/2)^2-83, 3006464*(X+1)^4+3564800*(X+1)^2+308336, -2048000*(X+3/2)^2*(704*(X+3/2)^2+531), 4096000000*(2*X+3)*(2*X+5)*(4*X+7)*(4*X+9)]", "text": "YY-Operator equivalent to $C \\ast \\eta ~b \\ast i$", "degz": 4, "h3": null, "sol": "1 900 701100 515510800 365497137900 251698064854896 168714604297656560 110000961860877172800 69543595786149130545900 42370884564129031005009200", "n_discr_factors": "1", "c3": null, "operator": "4 4 0 0 0 0 1 -900 -3972 -6788 -5632 -2816 6879600 19155456 21603584 12025856 3006464 -9745920000 -22726656000 -20551680000 -8650752000 -1441792000 3870720000000 8060928000000 6209536000000 2097152000000 262144000000", "new_number": "4.18", "id": 113, "operator_tex": "\\theta^4-2^{2} x\\left(704\\theta^4+1408\\theta^3+1697\\theta^2+993\\theta+225\\right)+2^{4} x^{2}\\left(187904\\theta^4+751616\\theta^3+1350224\\theta^2+1197216\\theta+429975\\right)-2^{12} 5^{3} x^{3}(704\\theta^2+2112\\theta+2115)(2\\theta+3)^2+2^{18} 5^{6} x^{4}(2\\theta+3)(2\\theta+5)(4\\theta+7)(4\\theta+9)", "superseek": "-100 126580", "discriminant": "4 1 -2816 3006464 -1441792000 262144000000", "aesz": null, "n_sing_complex": "1", "inst_int": "", "c2h": null, "hash": "3ab4956c5da76dad5e104e338e7c0128", "dim_h": null, "inst": " -100 -1260 126580 12033300 1211646512 95291744220 6051006366100 25532819388820 -62676985866252520 -11991679685845617392", "cleanlist": "True", "n_sing_real": "1", "sol_explicit": "", "n_sing_rational": "1", "n_sing": "2", "laurent": null, "discriminant_tex": "(512000z^2-1408z+1)^2", "discr_factors": "262144000000, (z^2-11/4000*z+1/512000)^2", "dm_basis": null, "q": "0 1 -372 103206 -23318608 4800264705 -906363458040 163308814938546 -28110319795940160 4692035680985357844", "yuk": "1 -100 -10180 3417560 770121020 151455813900 20583020159000 2075495183572200 13072804297196860 -45691522696494669520", "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":"s_1","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["-1/2","0","1","3/2"],"monodromy":[],"monodromy_dm":[]},{"re":"s_2","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["-1/2","0","1","3/2"],"monodromy":[],"monodromy_dm":[]},{"re":"11/8000","im":"-1/4000","approx_re":"0.001375","approx_im":"-0.00025","exponents":["0","-1/2","1","3/2"],"monodromy":[],"monodromy_dm":[]},{"re":"11/8000","im":"1/4000","approx_re":"0.001375","approx_im":"0.00025","exponents":["0","-1/2","1","3/2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["3/2","7/4","9/4","5/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -17280*(X+1/2)^4-15288*(X+1/2)^2-462, 98537472*(X+1)^4+80745984*(X+1)^2+7061904, -859963392*(X+3/2)^2*(240*(X+3/2)^2+169), 3962711310336*(2*X+3)*(2*X+5)*(3*X+5)*(3*X+7)]", "text": "YY-Operator equivalent to $AESZ 66 =$D \\ast \\alpha \\tilde c \\ast j$", "degz": 4, "h3": null, "sol": "1 5364 29367900 170217457200 1029027458497500 6396798260167351344 40516714072724617533456 260029813122930776438433600 1685090543488031316816654990300 11001488991531550865698731563674800", "n_discr_factors": "2", "c3": null, "operator": "4 4 0 0 0 0 1 -5364 -23928 -41208 -34560 -17280 186345360 555641856 671970816 394149888 98537472 -1371856601088 -3222282829824 -2931615203328 -1238347284480 -206391214080 2080423437926400 4358982441369600 3372267325095936 1141260857376768 142657607172096", "new_number": "4.19", "id": 114, "operator_tex": "\\theta^4-2^{2} 3 x\\left(1440\\theta^4+2880\\theta^3+3434\\theta^2+1994\\theta+447\\right)+2^{4} 3^{4} x^{2}\\left(76032\\theta^4+304128\\theta^3+518496\\theta^2+428736\\theta+143785\\right)-2^{15} 3^{8} x^{3}(240\\theta^2+720\\theta+709)(2\\theta+3)^2+2^{26} 3^{10} x^{4}(2\\theta+3)(2\\theta+5)(3\\theta+5)(3\\theta+7)", "superseek": "-864 -147560800", "discriminant": "4 1 -17280 98537472 -206391214080 142657607172096", "aesz": "~66", "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "b9b85f803521c6af3b5f7572d309f89a", "dim_h": null, "inst": " -864 -261684 -147560800 -120568926924 -88009904955744 -72338406331651444 -66286324404529432416 -63605775313297935288396 -62789590294133700641856352 -63763261933532396671270263924", "cleanlist": "True", "n_sing_real": "3", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "3", "laurent": null, "discriminant_tex": "(6912z-1)^2(1728z-1)^2", "discr_factors": "142657607172096, (z-1/6912)^2, (z-1/1728)^2", "dm_basis": null, "q": "0 1 -2472 3404844 -4591592384 5333736689358 -5645526028060896 5755473275519706296 -5570409363132277922304 5163552434107359999841509", "yuk": "1 -864 -2094336 -3984142464 -7716413417472 -11001238119468864 -15625095771622947840 -22736209270753595319552 -32566156960416259281076224 -45773611324423467771897423072", "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":"1/6912","im":"0","approx_re":"0.000144675925926","approx_im":"0.0","exponents":["0","-1/2","1","3/2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/1728","im":"0","approx_re":"0.000578703703704","approx_im":"0.0","exponents":["0","-1/2","1","3/2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["3/2","5/3","7/3","5/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -640*(X+1/2)^4-584*(X+1/2)^2-18, 135168*(X+1)^4+118272*(X+1)^2+10128, -131072*(X+3/2)^2*(80*(X+3/2)^2+63), 67108864*(X+2)^2*(2*X+3)*(2*X+5)]", "text": "YY-Operator equivalent to AESZ 39=$A \\ast \\alpha$.", "degz": 4, "h3": null, "sol": "1 204 41820 9022160 2025179100 466941326544 109640857502736 26078280865871040 6262163022415481820 1514784810773910635600", "n_discr_factors": "2", "c3": null, "operator": "4 4 0 0 0 0 1 -204 -904 -1544 -1280 -640 263568 777216 929280 540672 135168 -71663616 -166330368 -149815296 -62914560 -10485760 4026531840 8321499136 6375342080 2147483648 268435456", "new_number": "4.1", "id": 115, "operator_tex": "\\theta^4-2^{2} x\\left(160\\theta^4+320\\theta^3+386\\theta^2+226\\theta+51\\right)+2^{4} 3 x^{2}\\left(2816\\theta^4+11264\\theta^3+19360\\theta^2+16192\\theta+5491\\right)-2^{15} x^{3}(80\\theta^2+240\\theta+243)(2\\theta+3)^2+2^{26} x^{4}(\\theta+2)^2(2\\theta+3)(2\\theta+5)", "superseek": "-32 -8736", "discriminant": "4 1 -640 135168 -10485760 268435456", "aesz": "~39", "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "462066f711fc3742db1ea9befa2fe01b", "dim_h": null, "inst": " -32 -284 -8736 -283900 -10041888 -1152289940/3 -15976746016 -698105875068 -31627354130464 -1474104208483292", "cleanlist": "True", "n_sing_real": "3", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "3", "laurent": null, "discriminant_tex": "(256z-1)^2(64z-1)^2", "discr_factors": "268435456, (z-1/64)^2, (z-1/256)^2", "dm_basis": null, "q": "0 1 -88 4140 -203840 8154830 -320933664 11741625528 -434327971328 14542126994661", "yuk": "1 -32 -2304 -235904 -18171904 -1255236032 -82965113856 -5480023883520 -357430226206720 -23056341161344160", "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":"1/256","im":"0","approx_re":"0.00390625","approx_im":"0.0","exponents":["0","-1/2","1","3/2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/64","im":"0","approx_re":"0.015625","approx_im":"0.0","exponents":["0","-1/2","1","3/2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["3/2","2","2","5/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -29376*(X+1/2)^4-25212*(X+1/2)^2-645, 216110592*(X+1)^4-5987520*(X+1)^2+430272, -6718464*(X+3/2)^2*(816*(X+3/2)^2+553), 967458816*(2*X+3)*(2*X+5)*(3*X+5)*(3*X+7)]", "text": "YY-Operator equivalent to AESZ 149=$D \\ast \\gamma ~tilde g \\ast j$", "degz": 4, "h3": null, "sol": "1 8784 99982728 1239742123200 16039070549564328 212836312970070451200 2872358362827386137216512 39233318289531856214440015872 540734177784604434526512261576360 7505029434484718126637814782745333632", "n_discr_factors": "1", "c3": null, "operator": "4 4 0 0 0 0 1 -8784 -39900 -69276 -58752 -29376 210553344 852467328 1290676032 864442368 216110592 -36113423616 -85156531200 -77725910016 -32893599744 -5482266624 507915878400 1064204697600 823307452416 278628139008 34828517376", "new_number": "4.20", "id": 116, "operator_tex": "\\theta^4-2^{2} 3 x\\left(2448\\theta^4+4896\\theta^3+5773\\theta^2+3325\\theta+732\\right)+2^{6} 3^{4} x^{2}\\left(41688\\theta^4+166752\\theta^3+248973\\theta^2+164442\\theta+40616\\right)-2^{8} 3^{8} x^{3}(816\\theta^2+2448\\theta+2389)(2\\theta+3)^2+2^{14} 3^{10} x^{4}(2\\theta+3)(2\\theta+5)(3\\theta+5)(3\\theta+7)", "superseek": "-2484 -1327731388", "discriminant": "4 1 -29376 216110592 -5482266624 34828517376", "aesz": null, "n_sing_complex": "1", "inst_int": "", "c2h": null, "hash": "80035e90a6f24cd6da3d4c5adc98379f", "dim_h": null, "inst": " -2484 -1446309 -1327731388 -1580284433106 -2187358898922144 -3333084983275758103 -5431476536808370628796 -9299939636087488614405114 -16540355956250846925699785968 -30316727187835571138135877667944", "cleanlist": "True", "n_sing_real": "1", "sol_explicit": "", "n_sing_rational": "1", "n_sing": "2", "laurent": null, "discriminant_tex": "(1-14688z+186624z^2)^2", "discr_factors": "34828517376, (1/186624-17/216*z+z^2)^2", "dm_basis": null, "q": "0 1 -4764 8528094 -8141036080 4977670007085 -2438688593316744 1130289677354089490 -1033297716399959256000 48984521650677347996934", "yuk": "1 -2484 -11572956 -35848749960 -101138215291740 -273419862365270484 -719946356423424070680 -1862996452125271125679512 -4761569093676895308790710108 -12057919492106867408870992720632", "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":"s_1","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["-1/2","0","1","3/2"],"monodromy":[],"monodromy_dm":[]},{"re":"s_2","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["-1/2","0","1","3/2"],"monodromy":[],"monodromy_dm":[]},{"re":"17/432-1/36*2^(1/2)","im":"0","approx_re":"6.8e-05","approx_im":"0.0","exponents":["0","-1/2","1","3/2"],"monodromy":[],"monodromy_dm":[]},{"re":"17/432+1/36*2^(1/2)","im":"0","approx_re":"0.078636","approx_im":"0.0","exponents":["0","-1/2","1","3/2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["3/2","5/3","7/3","5/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -12096*(X+1/2)^4-10788*(X+1/2)^2-339, 8726976+101590848*(X+1)^2+66811392*(X+1)^4, -544195584*(X+3/2)^2*(336*(X+3/2)^2+239), 6347497291776*(2*X+3)*(2*X+5)*(3*X+5)*(3*X+7)]", "text": "This is operator \"4.21\" from ...", "degz": 4, "h3": null, "sol": "1 3792 9275400 7430606400 -68166524583000 -464596341265343232 -1718931909208528295424 -3618348072352420690483200 2300184841205997345252767400 61995153436412843743197951907200", "n_discr_factors": "1", "c3": null, "operator": "4 4 0 0 0 0 1 -3792 -16836 -28932 -24192 -12096 177129216 470427264 502459200 267245568 66811392 -1218317863680 -2858659402752 -2598533913600 -1097098297344 -182849716224 3332436078182400 6982247020953600 5401720195301376 1828079220031488 228509902503936", "new_number": "4.21", "id": 117, "operator_tex": "\\theta^4-2^{2} 3 x\\left(1008\\theta^4+2016\\theta^3+2411\\theta^2+1403\\theta+316\\right)+2^{6} 3^{2} x^{2}\\left(115992\\theta^4+463968\\theta^3+872325\\theta^2+816714\\theta+307516\\right)-2^{8} 3^{12} x^{3}(336\\theta^2+1008\\theta+995)(2\\theta+3)^2+2^{14} 3^{18} x^{4}(2\\theta+3)(2\\theta+5)(3\\theta+5)(3\\theta+7)", "superseek": "-492 136094428", "discriminant": "4 1 -12096 66811392 -182849716224 228509902503936", "aesz": null, "n_sing_complex": "1", "inst_int": "", "c2h": null, "hash": "595707be6cb20abc1dfeecf72492ae5f", "dim_h": null, "inst": " -492 128514 136094428 32416215738 -16919954920032 -25081894126382570 -10798647846388664100 4628276637816545092050 9612599272287001934026096 5072299890987974052401948304", "cleanlist": "True", "n_sing_real": "1", "sol_explicit": "", "n_sing_rational": "1", "n_sing": "2", "laurent": null, "discriminant_tex": "(15116544z^2-6048z+1)^2", "discr_factors": "228509902503936, (z^2-7/17496*z+1/15116544)^2", "dm_basis": null, "q": "0 1 -1668 3129822 -3591051856 4582578534189 -4682795317633080 4948605373685854994 -4702733898277550411328 4489208769582109560324870", "yuk": "1 -492 1027620 3674549064 2074638834852 -2114994365004492 -5417689127623057944 -3703936211311311786792 2369677638564145725964452 7007584869497224413579573048", "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":"s_1","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["-1/2","0","1","3/2"],"monodromy":[],"monodromy_dm":[]},{"re":"s_2","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["-1/2","0","1","3/2"],"monodromy":[],"monodromy_dm":[]},{"re":"7/34992","im":"-1/8748*2^(1/2)","approx_re":"0.000200045724737","approx_im":"-0.000162","exponents":["0","-1/2","1","3/2"],"monodromy":[],"monodromy_dm":[]},{"re":"7/34992","im":"1/8748*2^(1/2)","approx_re":"0.000200045724737","approx_im":"0.000162","exponents":["0","-1/2","1","3/2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["3/2","5/3","7/3","5/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -20736*(X+1/2)^4-18000*(X+1/2)^2-492, 113467392*(X+1)^4+18330624*(X+1)^2+1939968, -3869835264*(X+3/2)^2*(16*(X+3/2)^2+11), 247669456896*(2*X+3)*(2*X+5)*(3*X+5)*(3*X+7)]", "text": "YY-Operator equivalent to $D \\ast \\epsilon \\tilde d \\ast j$", "degz": 4, "h3": null, "sol": "1 6288 49006800 416705452800 3698851729136400 33681272937781480704 311932982382295022191872 2923944709736219442719846400 27656388114594756400576052989200 263429909404593083347831575185875200", "n_discr_factors": "1", "c3": null, "operator": "4 4 0 0 0 0 1 -6288 -28368 -49104 -41472 -20736 133737984 490530816 699134976 453869568 113467392 -409235079168 -963588980736 -878452604928 -371504185344 -61917364224 130026464870400 272436402585600 210766707818496 71328803586048 8916100448256", "new_number": "4.22", "id": 118, "operator_tex": "\\theta^4-2^{4} 3 x\\left(432\\theta^4+864\\theta^3+1023\\theta^2+591\\theta+131\\right)+2^{9} 3^{2} x^{2}\\left(24624\\theta^4+98496\\theta^3+151722\\theta^2+106452\\theta+29023\\right)-2^{14} 3^{10} x^{3}(16\\theta^2+48\\theta+47)(2\\theta+3)^2+2^{22} 3^{10} x^{4}(2\\theta+3)(2\\theta+5)(3\\theta+5)(3\\theta+7)", "superseek": "-1488 -517984144", "discriminant": "4 1 -20736 113467392 -61917364224 8916100448256", "aesz": null, "n_sing_complex": "1", "inst_int": "", "c2h": null, "hash": "7d70f749f0fd6381c088f4c1fac4d6df", "dim_h": null, "inst": " -1488 -704730 -517984144 -469396561641 -493072108113648 -573124059144496402 -710282017068116797776 -924822665992369737350799 -1250674565943802068474015616 -1742649598747772220671160126270", "cleanlist": "True", "n_sing_real": "1", "sol_explicit": "", "n_sing_rational": "1", "n_sing": "2", "laurent": null, "discriminant_tex": "(2985984z^2-10368z+1)^2", "discr_factors": "8916100448256, (z^2-1/288*z+1/2985984)^2", "dm_basis": null, "q": "0 1 -3216 3831552 -3121472512 2886132664752 -2689021314141696 2061211926480499712 -1595527447063571496960 1098926330327365589088408", "yuk": "1 -1488 -5639328 -13985573376 -30041385584352 -61634013514207488 -123794796789202434048 -243626731854364061638656 -473509204988123346909193440 -911741758573031707931542957440", "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":"s_1","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["-1/2","0","1","3/2"],"monodromy":[],"monodromy_dm":[]},{"re":"s_2","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["-1/2","0","1","3/2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/576-1/864*2^(1/2)","im":"0","approx_re":"9.9e-05","approx_im":"0.0","exponents":["0","-1/2","1","3/2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/576+1/864*2^(1/2)","im":"0","approx_re":"0.003373","approx_im":"0.0","exponents":["0","-1/2","1","3/2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["3/2","5/3","7/3","5/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -15552*(X+1/2)^4-13500*(X+1/2)^2-369, 50388480*(X+1)^4-34292160*(X+1)^2-2702160, 4897760256*(X+3/2)^2*(16*(X+3/2)^2+11), 705277476864*(2*X+3)*(2*X+5)*(3*X+5)*(3*X+7)]", "text": "This is operator \"4.23\" from ...", "degz": 4, "h3": null, "sol": "1 4716 31430916 223425214992 1654537886846532 12553361207715469680 96815184264340183464624 755472658494095667308730816 5947354313754393026474138585412 47142591780478152347203384002983472", "n_discr_factors": "1", "c3": null, "operator": "4 4 0 0 0 0 1 -4716 -21276 -36828 -31104 -15552 13394160 132969600 268038720 201553920 50388480 517938147072 1219542303744 1111791578112 470184984576 78364164096 370270675353600 775805224550400 600191132811264 203119913336832 25389989167104", "new_number": "4.23", "id": 119, "operator_tex": "\\theta^4-2^{2} 3^{2} x\\left(432\\theta^4+864\\theta^3+1023\\theta^2+591\\theta+131\\right)+2^{4} 3^{5} 5 x^{2}\\left(2592\\theta^4+10368\\theta^3+13788\\theta^2+6840\\theta+689\\right)+2^{8} 3^{14} x^{3}(16\\theta^2+48\\theta+47)(2\\theta+3)^2+2^{14} 3^{16} x^{4}(2\\theta+3)(2\\theta+5)(3\\theta+5)(3\\theta+7)", "superseek": "-1116 -349462868", "discriminant": "4 1 -15552 50388480 78364164096 25389989167104", "aesz": null, "n_sing_complex": "1", "inst_int": "", "c2h": null, "hash": "4cde44ecce8658b2c2ca6b3c279f4e62", "dim_h": null, "inst": " -1116 -586989 -349462868 -300569202144 -280354383814176 -296982683718981431 -330942057079152291732 -389740226852216102058576 -475399528533641734868803520 -598109644529459007164316811224", "cleanlist": "True", "n_sing_real": "1", "sol_explicit": "", "n_sing_rational": "1", "n_sing": "2", "laurent": null, "discriminant_tex": "(5038848z^2+7776z-1)^2", "discr_factors": "25389989167104, (z^2+1/648*z-1/5038848)^2", "dm_basis": null, "q": "0 1 -2412 949806 1750469136 -2111572819467 375181321827672 974436435410694930 -921111319627599911616 48784763819176278750594", "yuk": "1 -1116 -4697028 -9435498552 -19236433634244 -35044297976773116 -64148259692740183560 -113513125578149236065192 -199546996148353880687625156 -346566256301024824728793264632", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/1296-1/1944*3^(1/2)","im":"0","approx_re":"-0.001663","approx_im":"0.0","exponents":["0","-1/2","1","3/2"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"s_1","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["-1/2","0","1","3/2"],"monodromy":[],"monodromy_dm":[]},{"re":"s_2","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["-1/2","0","1","3/2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/1296+1/1944*3^(1/2)","im":"0","approx_re":"0.000119","approx_im":"0.0","exponents":["0","-1/2","1","3/2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["3/2","5/3","7/3","5/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -19008*(X+1/2)^4-17076*(X+1/2)^2-555, 136982016*(X+1)^4+159091776*(X+1)^2+13734000, -839808000*(X+3/2)^2*(528*(X+3/2)^2+379), 15116544000000*(2*X+3)*(2*X+5)*(3*X+5)*(3*X+7)]", "text": "YY-Operator equivalent to $D \\ast \\eta ~b \\ast j$", "degz": 4, "h3": null, "sol": "1 6012 31439916 155468925360 741919701370860 3440334229212106512 15530980276763547700464 68197609142431078878827712 290322230075367777254926104300 1190585994177540597112900197838800", "n_discr_factors": "1", "c3": null, "operator": "4 4 0 0 0 0 1 -6012 -26580 -45588 -38016 -19008 309807792 866111616 980983872 547928064 136982016 -2960953056000 -6941013120000 -6304438656000 -2660511744000 -443418624000 7936185600000000 16628198400000000 12864178944000000 4353564672000000 544195584000000", "new_number": "4.24", "id": 120, "operator_tex": "\\theta^4-2^{2} 3 x\\left(1584\\theta^4+3168\\theta^3+3799\\theta^2+2215\\theta+501\\right)+2^{4} 3^{2} x^{2}\\left(951264\\theta^4+3805056\\theta^3+6812388\\theta^2+6014664\\theta+2151443\\right)-2^{8} 3^{8} 5^{3} x^{3}(528\\theta^2+1584\\theta+1567)(2\\theta+3)^2+2^{14} 3^{10} 5^{6} x^{4}(2\\theta+3)(2\\theta+5)(3\\theta+5)(3\\theta+7)", "superseek": "-612 51318900", "discriminant": "4 1 -19008 136982016 -443418624000 544195584000000", "aesz": null, "n_sing_complex": "1", "inst_int": "", "c2h": null, "hash": "dc90e303db3462d0c0bd472762000ad5", "dim_h": null, "inst": " -612 -87372 51318900 24336059400 14111081636400 7632101153972412 2689453850253788052 -105216147647189676072 -1507370707788027902059752 -1598466549261264907286790000", "cleanlist": "True", "n_sing_real": "1", "sol_explicit": "", "n_sing_rational": "1", "n_sing": "2", "laurent": null, "discriminant_tex": "(23328000z^2-9504z+1)^2", "discr_factors": "544195584000000, (z^2-11/27000*z+1/23328000)^2", "dm_basis": null, "q": "0 1 -2532 4785318 -7335393424 10147405409025 -12793574387745432 15259861218545289266 -17285394597615440227392 18862018194471740749530900", "yuk": "1 -612 -699588 1385609688 1557507102012 1763885204549388 1648533850642951704 922482670637049301224 -53870667593803607046852 -1098873245977472339215949520", "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":"s_1","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["-1/2","0","1","3/2"],"monodromy":[],"monodromy_dm":[]},{"re":"s_2","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["-1/2","0","1","3/2"],"monodromy":[],"monodromy_dm":[]},{"re":"11/54000","im":"-1/27000","approx_re":"0.000203703703704","approx_im":"-3.7037037037e-05","exponents":["0","-1/2","1","3/2"],"monodromy":[],"monodromy_dm":[]},{"re":"11/54000","im":"1/27000","approx_re":"0.000203703703704","approx_im":"3.7037037037e-05","exponents":["0","-1/2","1","3/2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["3/2","5/3","7/3","5/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -540*(X+1/2)^4-486*(X+1/2)^2-57/4, 72846*(X+1)^4+6915/2*(X+1)^2+3/4, 14580*(X+3/2)^4+12717*(X+3/2)^2+324, 9/16*(6*X+11)^2*(6*X+13)^2]", "text": "Sporadic YY-Operator", "degz": 4, "h3": null, "sol": "1 339/2 287415/8 131845323/16 251852894379/128 123238332726741/256 122592505348354995/1024 61692704367754625307/2048 250561664907978069535923/32768 128080461905587807503878001/65536", "n_discr_factors": "1", "c3": null, "operator": "4 4 0 0 0 0 1 -339/2 -756 -1296 -1080 -540 305217/4 298299 881067/2 291384 72846 205497/2 234981 209547 87480 14580 184041/16 23166 34911/2 5832 729", "new_number": "4.25", "id": 121, "operator_tex": "\\theta^4-x\\left(540\\theta^4+1080\\theta^3+1296\\theta^2+756\\theta+339/2\\right)+x^{2}\\left(72846\\theta^4+291384\\theta^3+881067/2\\theta^2+298299\\theta+305217/4\\right)+x^{3}\\left(14580\\theta^4+87480\\theta^3+209547\\theta^2+234981\\theta+205497/2\\right)+x^{4}9/16(6\\theta+11)^2(6\\theta+13)^2", "superseek": "-33 -13051", "discriminant": "4 1 -540 72846 14580 729", "aesz": "32", "n_sing_complex": "1", "inst_int": "", "c2h": null, "hash": "bf53401dcbe0436fb67761f590ee3295", "dim_h": null, "inst": " -33 -1995/4 -13051 -435975 -16838124 -2857251193/4 -32366430885 -1539790563111 -76052716745077 -3869806769783889", "cleanlist": "True", "n_sing_real": "1", "sol_explicit": "", "n_sing_rational": "1", "n_sing": "2", "laurent": null, "discriminant_tex": "(-1+270z+27z^2)^2", "discr_factors": "729, (-1/27+10*z+z^2)^2", "dm_basis": null, "q": "0 1 -78 1443 -9854 -69069 -4239612 -241242846 -13365451086 -752315479929", "yuk": "1 -33 -4023 -352410 -27906423 -2104765533 -154291920822 -11101685793588 -788372796219255 -55442430507513543", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-5-26/9*3^(1/2)","im":"0","approx_re":"-10.003702","approx_im":"0.0","exponents":["0","-1/2","1","3/2"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"s_1","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["-1/2","0","1","3/2"],"monodromy":[],"monodromy_dm":[]},{"re":"s_2","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["-1/2","0","1","3/2"],"monodromy":[],"monodromy_dm":[]},{"re":"-5+26/9*3^(1/2)","im":"0","approx_re":"0.003702","approx_im":"0.0","exponents":["0","-1/2","1","3/2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["11/6","11/6","13/6","13/6"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -248*(X+1/2)^4-232*(X+1/2)^2-15/2, 18832*(X+1)^4+13806*(X+1)^2+1251, -428544*(X+3/2)^4-382296*(X+3/2)^2-9138, 9*(24*X+41)*(24*X+47)*(24*X+49)*(24*X+55)]", "text": "Sporadic YY-Operator", "degz": 4, "h3": null, "sol": "1 81 13837/2 1263327/2 480917043/8 46958960871/8 9328218834137/16 937774718213487/16 761037915101276291/128 77743160915496110811/128", "n_discr_factors": "2", "c3": null, "operator": "4 4 0 0 0 0 1 -81 -356 -604 -496 -248 33889 102940 126798 75328 18832 -3038808 -6932232 -6167640 -2571264 -428544 46739385 94514688 71404416 23887872 2985984", "new_number": "4.26", "id": 122, "operator_tex": "\\theta^4-x\\left(248\\theta^4+496\\theta^3+604\\theta^2+356\\theta+81\\right)+x^{2}\\left(18832\\theta^4+75328\\theta^3+126798\\theta^2+102940\\theta+33889\\right)-2^{3} 3 x^{3}\\left(17856\\theta^4+107136\\theta^3+256985\\theta^2+288843\\theta+126617\\right)+3^{2} x^{4}(24\\theta+41)(24\\theta+47)(24\\theta+49)(24\\theta+55)", "superseek": "-10 -870", "discriminant": "4 1 -248 18832 -428544 2985984", "aesz": "60", "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "033b6632bf7cbbfe2a70e1f1eee4bf04", "dim_h": null, "inst": " -10 -65 -870 -13905 -248910 -4882215 -102446770 -2255612945 -51514954750 -1211473161115", "cleanlist": "True", "n_sing_real": "3", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "3", "laurent": null, "discriminant_tex": "(108z-1)^2(16z-1)^2", "discr_factors": "2985984, (z-1/16)^2, (z-1/108)^2", "dm_basis": null, "q": "0 1 -32 356 -5528 43410 -599232 96364 -128087616 -2266406377", "yuk": "1 -10 -530 -23500 -890450 -31113760 -1054582460 -35139242120 -1154874718290 -37554402036250", "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":"1/108","im":"0","approx_re":"0.00925925925926","approx_im":"0.0","exponents":["0","-1/2","1","3/2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/16","im":"0","approx_re":"0.0625","approx_im":"0.0","exponents":["0","-1/2","1","3/2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["41/24","47/24","49/24","55/24"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -520*(X+1/2)^4-470*(X+1/2)^2-14, 69648*(X+1)^4+10908*(X+1)^2+724, -532480*(X+3/2)^4-439680*(X+3/2)^2-6896, 256*(8*X+13)*(8*X+15)*(8*X+17)*(8*X+19)]", "text": "Sporadic YY-Operator", "degz": 4, "h3": null, "sol": "1 164 32886 7144704 1616497596 374796008496 88334003745624 21064705760170176 5067706001455546614 1227579787297952607736", "n_discr_factors": "2", "c3": null, "operator": "4 4 0 0 0 0 1 -164 -730 -1250 -1040 -520 81280 300408 428796 278592 69648 -3691856 -8507520 -7628160 -3194880 -532480 16124160 32899072 25001984 8388608 1048576", "new_number": "4.27", "id": 123, "operator_tex": "\\theta^4-2 x\\left(260\\theta^4+520\\theta^3+625\\theta^2+365\\theta+82\\right)+2^{2} x^{2}\\left(17412\\theta^4+69648\\theta^3+107199\\theta^2+75102\\theta+20320\\right)-2^{4} x^{3}\\left(33280\\theta^4+199680\\theta^3+476760\\theta^2+531720\\theta+230741\\right)+2^{8} x^{4}(8\\theta+13)(8\\theta+15)(8\\theta+17)(8\\theta+19)", "superseek": "-30 -11360", "discriminant": "4 1 -520 69648 -532480 1048576", "aesz": "189", "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "2ce243b7535bf4eefb88252a3c164466", "dim_h": null, "inst": " -30 -885/2 -11360 -365910 -13641180 -558537880 -170942216100/7 -1120886044110 -53410511601050 -2621751030955005", "cleanlist": "True", "n_sing_real": "3", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "3", "laurent": null, "discriminant_tex": "(256z-1)^2(4z-1)^2", "discr_factors": "1048576, (z-1/256)^2, (z-1/4)^2", "dm_basis": null, "q": "0 1 -74 1359 -16564 193055 -7606134 -165889059 -11443685608 -589716597852", "yuk": "1 -30 -3570 -306750 -23421810 -1705147530 -120644492370 -8376168588930 -573893678006130 -38936262957472200", "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":"1/256","im":"0","approx_re":"0.00390625","approx_im":"0.0","exponents":["0","-1/2","1","3/2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/4","im":"0","approx_re":"0.25","approx_im":"0.0","exponents":["0","-1/2","1","3/2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["13/8","15/8","17/8","19/8"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -1088*(X+1/2)^4-964*(X+1/2)^2-27, 296448*(X+1)^4+8256*(X+1)^2+192, -1024*(X+3/2)^2*(272*(X+3/2)^2+207), 16384*(X+2)^2*(2*X+3)*(2*X+5)]", "text": "YY-Operator equivalent to AESZ 44=$ A \\ast \\gamma$", "degz": 4, "h3": null, "sol": "1 336 142728 65762368 31568339880 15533012968704 7770174392268288 3933113259549247488 2008605043302914864808 1032883937290818939314560", "n_discr_factors": "1", "c3": null, "operator": "4 4 0 0 0 0 1 -336 -1508 -2596 -2176 -1088 304896 1202304 1786944 1185792 296448 -1886976 -4396032 -3972096 -1671168 -278528 983040 2031616 1556480 524288 65536", "new_number": "4.2", "id": 126, "operator_tex": "\\theta^4-2^{2} x\\left(272\\theta^4+544\\theta^3+649\\theta^2+377\\theta+84\\right)+2^{6} 3 x^{2}\\left(1544\\theta^4+6176\\theta^3+9307\\theta^2+6262\\theta+1588\\right)-2^{8} x^{3}(272\\theta^2+816\\theta+819)(2\\theta+3)^2+2^{14} x^{4}(\\theta+2)^2(2\\theta+3)(2\\theta+5)", "superseek": "-76 -92996", "discriminant": "4 1 -1088 296448 -278528 65536", "aesz": "~44", "n_sing_complex": "1", "inst_int": "", "c2h": null, "hash": "79f5f70bb79e740c1cd7e835ff99a64c", "dim_h": null, "inst": " -76 -2002 -92996 -5555506 -384650592 -87851559442/3 -2382567781700 -203597635374810 -18066930122752784 -1651905878787792656", "cleanlist": "True", "n_sing_real": "1", "sol_explicit": "", "n_sing_rational": "1", "n_sing": "2", "laurent": null, "discriminant_tex": "(1-544z+256z^2)^2", "discr_factors": "65536, (1/256-17/8*z+z^2)^2", "dm_basis": null, "q": "0 1 -164 7902 -175312 1770797 -88925688 -5015603694 -588849979456 -58902911500026", "yuk": "1 -76 -16092 -2510968 -355568476 -48081324076 -6325314806808 -817220749123176 -104241989667471196 -13170792059489290504", "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":"s_1","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["-1/2","0","1","3/2"],"monodromy":[],"monodromy_dm":[]},{"re":"s_2","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["-1/2","0","1","3/2"],"monodromy":[],"monodromy_dm":[]},{"re":"17/16-3/4*2^(1/2)","im":"0","approx_re":"0.00184","approx_im":"0.0","exponents":["0","-1/2","1","3/2"],"monodromy":[],"monodromy_dm":[]},{"re":"17/16+3/4*2^(1/2)","im":"0","approx_re":"2.12316","approx_im":"0.0","exponents":["0","-1/2","1","3/2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["3/2","2","2","5/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, 164*(X+1/2)^4+156*(X+1/2)^2+21/4, 12974*(X+1)^4+45175/2*(X+1)^2+8835/4, 512500*(X+3/2)^4+461875*(X+3/2)^2+10840, 15625*(5*X+17/2)*(5*X+19/2)*(5*X+21/2)*(5*X+23/2)]", "text": "Sporadic YY-Operator", "degz": 4, "h3": null, "sol": "1 -109/2 13447/8 58747/16 -556301557/128 80417194613/256 -12564715223389/1024 180567391553131/2048 885175103898923123/32768 -153605363433546271247/65536", "n_discr_factors": "1", "c3": null, "operator": "4 4 0 0 0 0 1 109/2 238 402 328 164 151081/4 97071 200863/2 51896 12974 3644590 8304375 7380625 3075000 512500 2437640625/16 308593750 466796875/2 78125000 9765625", "new_number": "4.30", "id": 127, "operator_tex": "\\theta^4+x\\left(164\\theta^4+328\\theta^3+402\\theta^2+238\\theta+109/2\\right)+x^{2}\\left(12974\\theta^4+51896\\theta^3+200863/2\\theta^2+97071\\theta+151081/4\\right)+5 x^{3}\\left(102500\\theta^4+615000\\theta^3+1476125\\theta^2+1660875\\theta+728918\\right)+x^{4}15625/16(10\\theta+17)(10\\theta+19)(10\\theta+21)(10\\theta+23)", "superseek": "5 -420", "discriminant": "4 1 164 12974 512500 9765625", "aesz": "281", "n_sing_complex": "1", "inst_int": "", "c2h": null, "hash": "d24d5f19c8a8bf23ea9abd62ea9242b2", "dim_h": null, "inst": " 5 95/4 -420 2555 19930 -682645 6463805 40651055 -2112423895 50608382435/2", "cleanlist": "True", "n_sing_real": "1", "sol_explicit": "", "n_sing_rational": "1", "n_sing": "2", "laurent": null, "discriminant_tex": "(1+82z+3125z^2)^2", "discr_factors": "9765625, (1/3125+82/3125*z+z^2)^2", "dm_basis": null, "q": "0 1 20 500 4850 80620 700534 6933915 74473950 730700800", "yuk": "1 5 195 -11335 163715 2491255 -147462465 2217085120 20813503875 -1539957030790", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-41/3125","im":"-38/3125","approx_re":"-0.01312","approx_im":"-0.01216","exponents":["0","-1/2","1","3/2"],"monodromy":[],"monodromy_dm":[]},{"re":"-41/3125","im":"38/3125","approx_re":"-0.01312","approx_im":"0.01216","exponents":["0","-1/2","1","3/2"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"s_1","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["-1/2","0","1","3/2"],"monodromy":[],"monodromy_dm":[]},{"re":"s_2","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["-1/2","0","1","3/2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["17/10","19/10","21/10","23/10"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -344*(X+1/2)^4-326*(X+1/2)^2-11, 43408*(X+1)^4+51724*(X+1)^2+4816, -2377728*(X+3/2)^4-2088192*(X+3/2)^2-41328, 147456*(3*X+5)*(3*X+7)*(6*X+11)*(6*X+13)]", "text": "This is operator \"4.31\" from ...", "degz": 4, "h3": null, "sol": "1 114 11466 1123804 109952106 10822345380 1074138708940 107525860929960 10849336216894890 1102378579939296660", "n_discr_factors": "2", "c3": null, "operator": "4 4 0 0 0 0 1 -114 -498 -842 -688 -344 99948 277080 312172 173632 43408 -16777008 -38363904 -34187520 -14266368 -2377728 738017280 1502281728 1139982336 382205952 47775744", "new_number": "4.31", "id": 128, "operator_tex": "\\theta^4-2 x\\left(172\\theta^4+344\\theta^3+421\\theta^2+249\\theta+57\\right)+2^{2} x^{2}\\left(10852\\theta^4+43408\\theta^3+78043\\theta^2+69270\\theta+24987\\right)-2^{4} 3 x^{3}\\left(49536\\theta^4+297216\\theta^3+712240\\theta^2+799248\\theta+349521\\right)+2^{14} 3^{2} x^{4}(3\\theta+5)(3\\theta+7)(6\\theta+11)(6\\theta+13)", "superseek": "-10 -340", "discriminant": "4 1 -344 43408 -2377728 47775744", "aesz": null, "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "dc534a2a8e7bca49a87c29d9ed4e3ae8", "dim_h": null, "inst": " -10 -40 -340 -5820 -114610 -2195680 -41115490 -783867060 -15624406960 -326326810040", "cleanlist": "True", "n_sing_real": "3", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "3", "laurent": null, "discriminant_tex": "(108z-1)^2(64z-1)^2", "discr_factors": "47775744, (z-1/64)^2, (z-1/108)^2", "dm_basis": null, "q": "0 1 -42 1101 -24428 428490 -7494594 109149252 -1698087912 21634702887", "yuk": "1 -10 -330 -9190 -372810 -14326260 -474276390 -14102613080 -401340307530 -11390192683030", "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":"1/108","im":"0","approx_re":"0.00925925925926","approx_im":"0.0","exponents":["0","-1/2","1","3/2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/64","im":"0","approx_re":"0.015625","approx_im":"0.0","exponents":["0","-1/2","1","3/2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["5/3","11/6","13/6","7/3"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -472*(X+1/2)^4-446*(X+1/2)^2-15, 83344*(X+1)^4+102060*(X+1)^2+9252, -6524928*(X+3/2)^4-5576448*(X+3/2)^2-69888, 9216*(12*X+19)*(12*X+23)*(12*X+25)*(12*X+29)]", "text": "Sporadic YY-Operator.", "degz": 4, "h3": null, "sol": "1 156 21062 2714208 342489420 42745344432 5302680749912 655600683760704 80913588850087846 9978933506757141000", "n_discr_factors": "2", "c3": null, "operator": "4 4 0 0 0 0 1 -156 -682 -1154 -944 -472 194656 537496 602124 333376 83344 -45649344 -104815872 -93662976 -39149568 -6524928 2919859200 5977276416 4551966720 1528823808 191102976", "new_number": "4.32", "id": 129, "operator_tex": "\\theta^4-2 x\\left(236\\theta^4+472\\theta^3+577\\theta^2+341\\theta+78\\right)+2^{2} x^{2}\\left(20836\\theta^4+83344\\theta^3+150531\\theta^2+134374\\theta+48664\\right)-2^{6} 3 x^{3}\\left(33984\\theta^4+203904\\theta^3+487828\\theta^2+545916\\theta+237757\\right)+2^{10} 3^{2} x^{4}(12\\theta+19)(12\\theta+23)(12\\theta+25)(12\\theta+29)", "superseek": "-14 -196", "discriminant": "4 1 -472 83344 -6524928 191102976", "aesz": "356\n", "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "e73c971c3ed3a4fd581234510642c285", "dim_h": null, "inst": " -14 -42 -196 -1218 -208446/5 -1249164 -31158358 -665413042 -13244743400 -255577395122", "cleanlist": "True", "n_sing_real": "3", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "3", "laurent": null, "discriminant_tex": "(128z-1)^2(108z-1)^2", "discr_factors": "191102976, (z-1/128)^2, (z-1/108)^2", "dm_basis": null, "q": "0 1 -58 2285 -73180 2053050 -53567538 1306009292 -30756537128 694691706071", "yuk": "1 -14 -350 -5306 -78302 -5211164 -269825066 -10687316808 -340691555806 -9655417943906", "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":"1/128","im":"0","approx_re":"0.0078125","approx_im":"0.0","exponents":["0","-1/2","1","3/2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/108","im":"0","approx_re":"0.00925925925926","approx_im":"0.0","exponents":["0","-1/2","1","3/2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["19/12","23/12","25/12","29/12"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -448*(X+1/2)^4-412*(X+1/2)^2-13, 91648*(X+1)^4+144448*(X+1)^2+12736, -82944*(X+3/2)^2*(112*(X+3/2)^2+89), 107495424*(X+2)^2*(2*X+3)*(2*X+5)]", "text": "YY-Operator equivalent to AESZ 150=$ A \\ast \\delta $", "degz": 4, "h3": null, "sol": "1 144 13320 432320 -127603800 -33213869568 -4622348436992 -369487705466880 6608967774500520 8246344074310742400", "n_discr_factors": "1", "c3": null, "operator": "4 4 0 0 0 0 1 -144 -636 -1084 -896 -448 248832 655488 694336 366592 91648 -63638784 -147557376 -132793344 -55738368 -9289728 6449725440 13329432576 10212065280 3439853568 429981696", "new_number": "4.3", "id": 137, "operator_tex": "\\theta^4-2^{2} x\\left(112\\theta^4+224\\theta^3+271\\theta^2+159\\theta+36\\right)+2^{6} x^{2}\\left(1432\\theta^4+5728\\theta^3+10849\\theta^2+10242\\theta+3888\\right)-2^{8} 3^{4} x^{3}(112\\theta^2+336\\theta+341)(2\\theta+3)^2+2^{14} 3^{8} x^{4}(\\theta+2)^2(2\\theta+3)(2\\theta+5)", "superseek": "-20 5924", "discriminant": "4 1 -448 91648 -9289728 429981696", "aesz": null, "n_sing_complex": "1", "inst_int": "", "c2h": null, "hash": "4163e7dfeb4b46f62bda072d071020fc", "dim_h": null, "inst": " -20 199 5924 82010 -1170848 -92226419 -2051645148 18334803698 2749155476112 79788570171384", "cleanlist": "True", "n_sing_real": "1", "sol_explicit": "", "n_sing_rational": "1", "n_sing": "2", "laurent": null, "discriminant_tex": "(1-224z+20736z^2)^2", "discr_factors": "429981696, (1/20736-7/648*z+z^2)^2", "dm_basis": null, "q": "0 1 -60 4062 -161456 7582509 -281492040 10960968978 -395542087104 14279572541190", "yuk": "1 -20 1572 159928 5250212 -146356020 -19920744984 -703714285784 9387424743588 2004134342245576", "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":"s_1","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["-1/2","0","1","3/2"],"monodromy":[],"monodromy_dm":[]},{"re":"s_2","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["-1/2","0","1","3/2"],"monodromy":[],"monodromy_dm":[]},{"re":"7/1296","im":"-1/324*2^(1/2)","approx_re":"0.0054012345679","approx_im":"-0.004365","exponents":["0","-1/2","1","3/2"],"monodromy":[],"monodromy_dm":[]},{"re":"7/1296","im":"1/324*2^(1/2)","approx_re":"0.0054012345679","approx_im":"0.004365","exponents":["0","-1/2","1","3/2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["3/2","2","2","5/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -768*(X+1/2)^4-688*(X+1/2)^2-20, 155648*(X+1)^4+33792*(X+1)^2+2560, -65536*(X+3/2)^2*(48*(X+3/2)^2+37), 4194304*(X+2)^2*(2*X+3)*(2*X+5)]", "text": "YY-Operator equivalent to $d \\ast e \\tilde A \\ast \\epsilon$", "degz": 4, "h3": null, "sol": "1 240 69840 22068480 7268490000 2454176533248 842484478035200 292657474471464960 102568871255144271120 36197101681461712992000", "n_discr_factors": "1", "c3": null, "operator": "4 4 0 0 0 0 1 -240 -1072 -1840 -1536 -768 192000 690176 967680 622592 155648 -21381120 -49741824 -44892160 -18874368 -3145728 251658240 520093696 398458880 134217728 16777216", "new_number": "4.4", "id": 148, "operator_tex": "\\theta^4-2^{4} x\\left(48\\theta^4+96\\theta^3+115\\theta^2+67\\theta+15\\right)+2^{9} x^{2}\\left(304\\theta^4+1216\\theta^3+1890\\theta^2+1348\\theta+375\\right)-2^{14} x^{3}(48\\theta^2+144\\theta+145)(2\\theta+3)^2+2^{22} x^{4}(\\theta+2)^2(2\\theta+3)(2\\theta+5)", "superseek": "-48 -32368", "discriminant": "4 1 -768 155648 -3145728 16777216", "aesz": null, "n_sing_complex": "1", "inst_int": "", "c2h": null, "hash": "a0903e578f379289d79849a566639775", "dim_h": null, "inst": " -48 -910 -32368 -1409193 -71439120 -3981781302 -237026585776 -14815169111887 -961469537214592 -64284018963892410", "cleanlist": "True", "n_sing_real": "1", "sol_explicit": "", "n_sing_rational": "1", "n_sing": "2", "laurent": null, "discriminant_tex": "(1-384z+4096z^2)^2", "discr_factors": "16777216, (1/4096-3/32*z+z^2)^2", "dm_basis": null, "q": "0 1 -112 3840 -105472 3238320 -112316928 1366733824 -143396667392 -4299522787176", "yuk": "1 -48 -7328 -873984 -90195680 -8929890048 -860065642496 -81300118921216 -7585366675481824 -700911292630311552", "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":"s_1","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["-1/2","0","1","3/2"],"monodromy":[],"monodromy_dm":[]},{"re":"s_2","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["-1/2","0","1","3/2"],"monodromy":[],"monodromy_dm":[]},{"re":"3/64-1/32*2^(1/2)","im":"0","approx_re":"0.002681","approx_im":"0.0","exponents":["0","-1/2","1","3/2"],"monodromy":[],"monodromy_dm":[]},{"re":"3/64+1/32*2^(1/2)","im":"0","approx_re":"0.091069","approx_im":"0.0","exponents":["0","-1/2","1","3/2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["3/2","2","2","5/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -576*(X+1/2)^4-516*(X+1/2)^2-15, 69120*(X+1)^4-43200*(X+1)^2-4176, 82944*(X+3/2)^2*(48*(X+3/2)^2+37), 11943936*(X+2)^2*(2*X+3)*(2*X+5)]", "text": "YY-Operator equivalent to $d \\ast e \\tilde A\\st \\epsilon$", "degz": 4, "h3": null, "sol": "1 180 44676 11798640 3241596996 911927850768 260684645619888 75383026726593600 21988913736501928260 6457716149904879040080", "n_discr_factors": "1", "c3": null, "operator": "4 4 0 0 0 0 1 -180 -804 -1380 -1152 -576 21744 190080 371520 276480 69120 27060480 62954496 56816640 23887872 3981312 716636160 1481048064 1134673920 382205952 47775744", "new_number": "4.5", "id": 159, "operator_tex": "\\theta^4-2^{2} 3 x\\left(48\\theta^4+96\\theta^3+115\\theta^2+67\\theta+15\\right)+2^{4} 3^{2} x^{2}\\left(480\\theta^4+1920\\theta^3+2580\\theta^2+1320\\theta+151\\right)+2^{8} 3^{4} x^{3}(48\\theta^2+144\\theta+145)(2\\theta+3)^2+2^{14} 3^{6} x^{4}(\\theta+2)^2(2\\theta+3)(2\\theta+5)", "superseek": "-36 -62596/3", "discriminant": "4 1 -576 69120 3981312 47775744", "aesz": null, "n_sing_complex": "1", "inst_int": "", "c2h": null, "hash": "f5b4785eb6dd46eea771050179115d33", "dim_h": null, "inst": " -36 -756 -62596/3 -839088 -37432800 -5568714004/3 -97940149740 -5432676734880 -312731103096896 -18548876430404064", "cleanlist": "True", "n_sing_real": "1", "sol_explicit": "", "n_sing_rational": "1", "n_sing": "2", "laurent": null, "discriminant_tex": "(-1+288z+6912z^2)^2", "discr_factors": "47775744, (-1/6912+1/24*z+z^2)^2", "dm_basis": null, "q": "0 1 -84 558 79088 -2506251 -15199704 1128529682 -69405940032 -2821201832574", "yuk": "1 -36 -6084 -563400 -53707716 -4679100036 -400947977736 -33593471360856 -2781530541966276 -227980974158200584", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/48-1/72*3^(1/2)","im":"0","approx_re":"-0.04489","approx_im":"0.0","exponents":["0","-1/2","1","3/2"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"s_1","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["-1/2","0","1","3/2"],"monodromy":[],"monodromy_dm":[]},{"re":"s_2","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["-1/2","0","1","3/2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/48+1/72*3^(1/2)","im":"0","approx_re":"0.003223","approx_im":"0.0","exponents":["0","-1/2","1","3/2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["3/2","2","2","5/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -704*(X+1/2)^4-652*(X+1/2)^2-21, 187904*(X+1)^4+228672*(X+1)^2+19824, -128000*(X+3/2)^2*(176*(X+3/2)^2+141), 256000000*(X+2)^2*(2*X+3)*(2*X+5)]", "text": "YY-operator equivalent to AESZ 121 =$b \\ast e \\tilde A \\ast \\eta$", "degz": 4, "h3": null, "sol": "1 228 44716 8258768 1469227500 253733647728 42642370753264 6970600688094528 1105114457148006124 168933127196275073200", "n_discr_factors": "1", "c3": null, "operator": "4 4 0 0 0 0 1 -228 -1004 -1708 -1408 -704 436400 1208960 1356096 751616 187904 -154656000 -358272000 -322176000 -135168000 -22528000 15360000000 31744000000 24320000000 8192000000 1024000000", "new_number": "4.6", "id": 170, "operator_tex": "\\theta^4-2^{2} x\\left(176\\theta^4+352\\theta^3+427\\theta^2+251\\theta+57\\right)+2^{4} x^{2}\\left(11744\\theta^4+46976\\theta^3+84756\\theta^2+75560\\theta+27275\\right)-2^{8} 5^{3} x^{3}(176\\theta^2+528\\theta+537)(2\\theta+3)^2+2^{14} 5^{6} x^{4}(\\theta+2)^2(2\\theta+3)(2\\theta+5)", "superseek": "-28 1036", "discriminant": "4 1 -704 187904 -22528000 1024000000", "aesz": null, "n_sing_complex": "1", "inst_int": "", "c2h": null, "hash": "e42780ff25b428328423d5eea814a37a", "dim_h": null, "inst": " -28 -21 1036 53976 1260496 31899337 507180268 3964357416 -299161562136 -16443487872164", "cleanlist": "True", "n_sing_real": "1", "sol_explicit": "", "n_sing_rational": "1", "n_sing": "2", "laurent": null, "discriminant_tex": "(1-352z+32000z^2)^2", "discr_factors": "1024000000, (1/32000-11/1000*z+z^2)^2", "dm_basis": null, "q": "0 1 -92 6310 -354928 18451201 -887962344 41276142642 -1847354908608 80878912980756", "yuk": "1 -28 -196 27944 3454268 157561972 6890284568 173962831896 2029754451260 -218088778769200", "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":"s_1","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["-1/2","0","1","3/2"],"monodromy":[],"monodromy_dm":[]},{"re":"s_2","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["-1/2","0","1","3/2"],"monodromy":[],"monodromy_dm":[]},{"re":"11/2000","im":"-1/1000","approx_re":"0.0055","approx_im":"-0.001","exponents":["0","-1/2","1","3/2"],"monodromy":[],"monodromy_dm":[]},{"re":"11/2000","im":"1/1000","approx_re":"0.0055","approx_im":"0.001","exponents":["0","-1/2","1","3/2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["3/2","2","2","5/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -1080*(X+1/2)^4-978*(X+1/2)^2-30, 384912*(X+1)^4+331452*(X+1)^2+28512, -1679616*(X+3/2)^2*(30*(X+3/2)^2+23), 15116544*(2*X+3)*(2*X+5)*(6*X+11)*(6*X+13)]", "text": "YY-operator equivalent to (:AESZ 50), $\\tilde B \\ast \\alpha$", "degz": 4, "h3": null, "sol": "1 342 117990 42901884 16240501782 6316625715444 2502293810634972 1004195277488806200 406869404168584931958 166067564374448102903364", "n_discr_factors": "2", "c3": null, "operator": "4 4 0 0 0 0 1 -342 -1518 -2598 -2160 -1080 744876 2202552 2640924 1539648 384912 -342011808 -796137984 -718875648 -302330880 -50388480 32424986880 67238387712 51638114304 17414258688 2176782336", "new_number": "4.7", "id": 179, "operator_tex": "\\theta^4-2 3 x\\left(180\\theta^4+360\\theta^3+433\\theta^2+253\\theta+57\\right)+2^{2} 3^{4} 11 x^{2}\\left(108\\theta^4+432\\theta^3+741\\theta^2+618\\theta+209\\right)-2^{5} 3^{8} x^{3}(60\\theta^2+180\\theta+181)(2\\theta+3)^2+2^{8} 3^{10} x^{4}(2\\theta+3)(2\\theta+5)(6\\theta+11)(6\\theta+13)", "superseek": "-54 -40552", "discriminant": "4 1 -1080 384912 -50388480 2176782336", "aesz": null, "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "ee8508b4e5567367ca11f74e074e8099", "dim_h": null, "inst": " -54 -864 -40552 -2192400 -123334380 -7606782112 -510067786500 -35999557094448 -2629631770323490 -197665963831332576", "cleanlist": "True", "n_sing_real": "3", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "3", "laurent": null, "discriminant_tex": "(432z-1)^2(108z-1)^2", "discr_factors": "2176782336, (z-1/108)^2, (z-1/432)^2", "dm_basis": null, "q": "0 1 -150 12159 -1012316 69674055 -4599819306 286902654701 -17623474911768 1008452921121792", "yuk": "1 -54 -6966 -1094958 -140320566 -15416797554 -1643066038062 -174953250769554 -18431773372677942 -1917001560566919168", "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":"1/432","im":"0","approx_re":"0.00231481481481","approx_im":"0.0","exponents":["0","-1/2","1","3/2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/108","im":"0","approx_re":"0.00925925925926","approx_im":"0.0","exponents":["0","-1/2","1","3/2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["3/2","11/6","13/6","5/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -1836*(X+1/2)^4-1614*(X+1/2)^2-177/4, 844182*(X+1)^4+23571/2*(X+1)^2+2835/4, -6561*(X+3/2)^2*(204*(X+3/2)^2+151), 59049/16*(2*X+3)*(2*X+5)*(6*X+11)*(6*X+13)]", "text": "YY-Operator equivalent to AESZ 53 =$B \\ast \\gamma \\tilde g \\ast h$", "degz": 4, "h3": null, "sol": "1 1125/2 3219615/8 5002535925/16 32404173968475/128 53796434927016771/256 181612568805465855915/1024 310214532003511738962645/2048 4276965511967012944282192275/32768 7422128578198801501629900794775/65536", "n_discr_factors": "1", "c3": null, "operator": "4 4 0 0 0 0 1 -1125/2 -2532 -4368 -3672 -1836 3426705/4 3400299 10153755/2 3376728 844182 -18009945/2 -21041127 -19059705 -8030664 -1338444 126660105/16 16415622 25213923/2 4251528 531441", "new_number": "4.8", "id": 180, "operator_tex": "\\theta^4-x\\left(1836\\theta^4+3672\\theta^3+4368\\theta^2+2532\\theta+1125/2\\right)+x^{2}\\left(844182\\theta^4+3376728\\theta^3+10153755/2\\theta^2+3400299\\theta+3426705/4\\right)-x^{3}6561/2(2\\theta+3)^2(102\\theta^2+306\\theta+305)+x^{4}59049/16(2\\theta+3)(2\\theta+5)(6\\theta+11)(6\\theta+13)", "superseek": "-135 -417685", "discriminant": "4 1 -1836 844182 -1338444 531441", "aesz": null, "n_sing_complex": "1", "inst_int": "", "c2h": null, "hash": "f5702d0b3fd53e9b80a42c76a335b648", "dim_h": null, "inst": " -135 -22815/4 -417685 -78983235/2 -4331084310 -2089942400125/4 -67374991615680 -18252405254369835/2 -1283816640590794765 -372187037770688515995/2", "cleanlist": "True", "n_sing_real": "1", "sol_explicit": "", "n_sing_rational": "1", "n_sing": "2", "laurent": null, "discriminant_tex": "(1-918z+729z^2)^2", "discr_factors": "531441, (1/729-34/27*z+z^2)^2", "dm_basis": null, "q": "0 1 -282 25119 -1071652 25356255 -1131124770 -48836642899 -12516628400052 -1895689264678308", "yuk": "1 -135 -45765 -11277630 -2527509285 -541385538885 -112856900930010 -23109622124178375 -4672615747646187045 -935902330990700661315", "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":"s_1","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["-1/2","0","1","3/2"],"monodromy":[],"monodromy_dm":[]},{"re":"s_2","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["-1/2","0","1","3/2"],"monodromy":[],"monodromy_dm":[]},{"re":"17/27-4/9*2^(1/2)","im":"0","approx_re":"0.00109","approx_im":"0.0","exponents":["0","-1/2","1","3/2"],"monodromy":[],"monodromy_dm":[]},{"re":"17/27+4/9*2^(1/2)","im":"0","approx_re":"1.258169","approx_im":"0.0","exponents":["0","-1/2","1","3/2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["3/2","11/6","13/6","5/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -756*(X+1/2)^4-690*(X+1/2)^2-87/4, 260982*(X+1)^4+815427/2*(X+1)^2+142947/4, -531441*(X+3/2)^2*(84*(X+3/2)^2+65), 387420489/16*(2*X+3)*(2*X+5)*(6*X+11)*(6*X+13)]", "text": "YY-operator equivalent to AESZ 151=$B \\ast \\delta$", "degz": 4, "h3": null, "sol": "1 483/2 300015/8 32162403/16 -132658029189/128 -115627249605483/256 -108197209270259109/1024 -29009247623259989085/2048 15099017488656585094611/32768 59767409101296884745991233/65536", "n_discr_factors": "1", "c3": null, "operator": "4 4 0 0 0 0 1 -483/2 -1068 -1824 -1512 -756 2817729/4 1859355 3947211/2 1043928 260982 -607437063/2 -706285089 -637197759 -267846264 -44641044 831016948905/16 107702895942 165428548803/2 27894275208 3486784401", "new_number": "4.9", "id": 181, "operator_tex": "\\theta^4-x\\left(756\\theta^4+1512\\theta^3+1824\\theta^2+1068\\theta+483/2\\right)+x^{2}\\left(260982\\theta^4+1043928\\theta^3+3947211/2\\theta^2+1859355\\theta+2817729/4\\right)-x^{3}531441/2(2\\theta+3)^2(42\\theta^2+126\\theta+127)+x^{4}387420489/16(2\\theta+3)(2\\theta+5)(6\\theta+11)(6\\theta+13)", "superseek": "-33 29693", "discriminant": "4 1 -756 260982 -44641044 3486784401", "aesz": null, "n_sing_complex": "1", "inst_int": "", "c2h": null, "hash": "c444fb1a912bd488ee5947b8bc1e2c53", "dim_h": null, "inst": " -33 1095/2 29693 1241103/2 -16117818 -3980319827/2 -68679466944 2495037536247/2 260588508312917 11634569245959975", "cleanlist": "True", "n_sing_real": "1", "sol_explicit": "", "n_sing_rational": "1", "n_sing": "2", "laurent": null, "discriminant_tex": "(1-378z+59049z^2)^2", "discr_factors": "3486784401, (1/59049-14/2187*z+z^2)^2", "dm_basis": null, "q": "0 1 -102 11727 -799756 63350367 -3980423214 261400863725 -15763834861404 952935785688204", "yuk": "1 -33 4347 801678 39719643 -2014727283 -429873735258 -23557057161825 638729648998875 189969022560918171", "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":"s_1","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["-1/2","0","1","3/2"],"monodromy":[],"monodromy_dm":[]},{"re":"s_2","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["-1/2","0","1","3/2"],"monodromy":[],"monodromy_dm":[]},{"re":"7/2187","im":"-4/2187*2^(1/2)","approx_re":"0.00320073159579","approx_im":"-0.002587","exponents":["0","-1/2","1","3/2"],"monodromy":[],"monodromy_dm":[]},{"re":"7/2187","im":"4/2187*2^(1/2)","approx_re":"0.00320073159579","approx_im":"0.002587","exponents":["0","-1/2","1","3/2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["3/2","11/6","13/6","5/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[25*X^4, -6300-26700*X-39660*X^2-25920*X^3-6480*X^4, -8358480-26827200*X-34416576*X^2-20901888*X^3-6345216*X^4, 6714109440+20524907520*X+22513572864*X^2+9674588160*X^3+1128701952*X^4, 501439279104+1984258031616*X+2820142448640*X^2+1671768834048*X^3+313456656384*X^4, 15045919506432*(X+1)^4]", "text": "There is a second MUM-point at infinity, correspondint to\nOperator AESZ 269/5.61", "degz": 5, "h3": null, "sol": "1 252 87084 31502448 12121584876 4712866852752 1882522128613104 754669010404306368 307249546738094748396 125267668677349183660752", "n_discr_factors": "3", "c3": null, "operator": "4 5 0 0 0 0 25 -6300 -26700 -39660 -25920 -6480 -8358480 -26827200 -34416576 -20901888 -6345216 6714109440 20524907520 22513572864 9674588160 1128701952 501439279104 1984258031616 2820142448640 1671768834048 313456656384 15045919506432 60183678025728 90275517038592 60183678025728 15045919506432", "new_number": "5.60", "id": 272, "operator_tex": "5^{2} \\theta^4-2^{2} 3 5 x\\left(108\\theta^4+432\\theta^3+661\\theta^2+445\\theta+105\\right)-2^{4} 3^{2} x^{2}\\left(44064\\theta^4+145152\\theta^3+239004\\theta^2+186300\\theta+58045\\right)+2^{9} 3^{5} x^{3}\\left(9072\\theta^4+77760\\theta^3+180954\\theta^2+164970\\theta+53965\\right)+2^{12} 3^{8} x^{4}\\left(11664\\theta^4+62208\\theta^3+104940\\theta^2+73836\\theta+18659\\right)+2^{20} 3^{15} x^{5}\\left((\\theta+1)^4\\right)", "superseek": "-828/5 -4270932/5", "discriminant": "5 25 -6480 -6345216 1128701952 313456656384 15045919506432", "aesz": "268", "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "638e2881183378c7a47b7508d9acc072", "dim_h": null, "inst": " -828/5 25533/5 -4270932/5 598304142/5 -24767201520 5516686677699 -6905915218789236/5 1839719752683668766/5 -517693573962167020632/5 30345720052057395286068", "cleanlist": "True", "n_sing_real": "4", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "4", "laurent": null, "discriminant_tex": "(1+432z)(432z+5)^2(432z-1)^2", "discr_factors": "15045919506432, (z+5/432)^2, (z-1/432)^2, 1/432+z", "dm_basis": null, "q": "0 1 -60 -20250 2749840 -229230975 49927836888 -15561414895630 4667881532942400 -1428189403919231340", "yuk": "1 -828/5 203436/5 -115315992/5 38291668524/5 -15479500950828/5 5958021496803192/5 -2368728920044708776/5 941936513412330076716/5 -75479723083683974671344", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-5/432","im":"0","approx_re":"-0.0115740740741","approx_im":"0.0","exponents":["0","1","3","4"],"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":"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","-1/2","1","3/2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1","1","1","1"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -112464-565056*X-1684800*X^2-2239488*X^3+1679616*X^4, 67775864832-2902376448*X+113192681472*X^2-2229025112064*X^3+487599243264*X^4, -48452876117213184-163037583771697152*X-340699801303646208*X^2-155996093442686976*X^3-220994465710473216*X^4, 505427342754305802240-2190185151935325143040*X-2190185151935325143040*X^2-18195384339155008880640*X^4, 5659492344850773962234265600*(X+1)^4]", "text": "There is a second MUM-point at infinity,\ncorresponding to Operator AESZ 268/5.60", "degz": 5, "h3": null, "sol": "1 112464 16304096016 2572332025515264 423329707157060783376 71449611307953723990238464 12263730529723761243479626711296 2130368461612459022498783244821581824 373413841262786707002896614274115279822096 65911327617588382602056644419982035975857374464", "n_discr_factors": "3", "c3": null, "operator": "4 5 0 0 0 0 1 -112464 -565056 -1684800 -2239488 1679616 67775864832 -2902376448 113192681472 -2229025112064 487599243264 -48452876117213184 -163037583771697152 -340699801303646208 -155996093442686976 -220994465710473216 505427342754305802240 -2190185151935325143040 -2190185151935325143040 0 -18195384339155008880640 5659492344850773962234265600 22637969379403095848937062400 33956954069104643773405593600 22637969379403095848937062400 5659492344850773962234265600", "new_number": "5.61", "id": 273, "operator_tex": "\\theta^4+2^{4} 3^{2} x\\left(11664\\theta^4-15552\\theta^3-11700\\theta^2-3924\\theta-781\\right)+2^{13} 3^{8} x^{2}\\left(9072\\theta^4-41472\\theta^3+2106\\theta^2-54\\theta+1261\\right)-2^{20} 3^{14} x^{3}\\left(44064\\theta^4+31104\\theta^3+67932\\theta^2+32508\\theta+9661\\right)-2^{30} 3^{22} 5 x^{4}\\left(108\\theta^4+13\\theta^2+13\\theta-3\\right)+2^{40} 3^{30} 5^{2} x^{5}\\left((\\theta+1)^4\\right)", "superseek": "549216 5134247872650720", "discriminant": "5 1 1679616 487599243264 -220994465710473216 -18195384339155008880640 5659492344850773962234265600", "aesz": "269", "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "f6285c6dd849b8edc6913a248c74c2ac", "dim_h": null, "inst": " 549216 -39437661960 5134247872650720 -893529522332436373560 182442495912657901797814560 -41262812389744861577153158690920 10019116026820060769801991618641662560 -2563084582322256940199919288251046522481080 682423086469588020265348285068230145316728864000 -187526681844608918990817759123005226960876251407732440", "cleanlist": "True", "n_sing_real": "4", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "4", "laurent": null, "discriminant_tex": "(1+186624z)(933120z+1)^2(186624z-1)^2", "discr_factors": "5659492344850773962234265600, (z-1/186624)^2, 1/186624+z, (z+1/933120)^2", "dm_basis": null, "q": "0 1 -115200 16592726880 -3236585370777600 744468775927259638320 -188590932068932155933757440 50864734112229617807411676172800 -14333826376721778264506293828143022080 4172214184513021365268279600028021795343000", "yuk": "1 549216 -315500746464 138624692562118656 -57185889429591428654304 22805311989082237724727369216 -8912767476184889962040705216415744 3436556797199280844042083125194090807296 -1312299306148995553382415861473965410938967264 497486430036329666773438899814739914560587903974656", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/186624","im":"0","approx_re":"-5.35836762689e-06","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/933120","im":"0","approx_re":"-1.07167352538e-06","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":"1/186624","im":"0","approx_re":"5.35836762689e-06","approx_im":"0.0","exponents":["0","-1/2","1","3/2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1","1","1","1"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -112*(X+1/2)^4-112*(X+1/2)^2-4, 4704*(X+1)^4+6390*(X+1)^2+675, -92416*(X+3/2)^4-130128*(X+3/2)^2-12852, 872704*(X+2)^4+995680*(X+2)^2+93337, -4608*(X+5/2)^2*(784*(X+5/2)^2+647), 1327104*(2*X+5)*(2*X+7)*(X+3)^2]", "text": "YY-pullback of AESZ:130", "degz": 6, "h3": null, "sol": "1 39 2541/2 80689/2 10329363/8 335463921/8 22102840857/16 736991939889/16 198520285467843/128 6736696134963949/128", "n_discr_factors": "3", "c3": null, "operator": "4 6 0 0 0 0 1 -39 -168 -280 -224 -112 11769 31596 34614 18816 4704 -773496 -1638000 -1377744 -554496 -92416 18039321 31909248 21940576 6981632 872704 -159753600 -240698880 -138456576 -36126720 -3612672 418037760 565346304 285327360 63700992 5308416", "new_number": "6.1", "id": 403, "operator_tex": "\\theta^4-x\\left(112\\theta^4+224\\theta^3+280\\theta^2+168\\theta+39\\right)+3 x^{2}\\left(1568\\theta^4+6272\\theta^3+11538\\theta^2+10532\\theta+3923\\right)-2^{3} x^{3}\\left(11552\\theta^4+69312\\theta^3+172218\\theta^2+204750\\theta+96687\\right)+x^{4}\\left(872704\\theta^4+6981632\\theta^3+21940576\\theta^2+31909248\\theta+18039321\\right)-2^{7} 3^{2} x^{5}(784\\theta^2+3920\\theta+5547)(2\\theta+5)^2+2^{14} 3^{4} x^{6}(2\\theta+5)(2\\theta+7)(\\theta+3)^2", "superseek": "-2 -70/3", "discriminant": "6 1 -112 4704 -92416 872704 -3612672 5308416", "aesz": null, "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "28ce9053a8969d292554c4f160bc469e", "dim_h": null, "inst": " -2 -9/2 -70/3 -145 -1060 -16257/2 -64746 -537089 -13892692/3 -41195025", "cleanlist": "True", "n_sing_real": "4", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "4", "laurent": null, "discriminant_tex": "(4z-1)^2(36z-1)^2(16z-1)^2", "discr_factors": "5308416, (z-1/16)^2, (z-1/4)^2, (z-1/36)^2", "dm_basis": null, "q": "0 1 -12 78 -544 2565 -18888 65770 -613056 639786", "yuk": "1 -2 -38 -632 -9318 -132502 -1756424 -22207880 -274998886 -3375924788", "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":"1/36","im":"0","approx_re":"0.0277777777778","approx_im":"0.0","exponents":["0","-1/2","1","3/2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/16","im":"0","approx_re":"0.0625","approx_im":"0.0","exponents":["0","-1/2","1","3/2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/4","im":"0","approx_re":"0.25","approx_im":"0.0","exponents":["0","-1/2","1","3/2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["5/2","3","3","7/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -280*(X+1/2)^4-266*(X+1/2)^2-9, 27888*(X+1)^4+31638*(X+1)^2+3063, -1189120*(X+3/2)^4-1276704*(X+3/2)^2-75906, 21204736*(X+2)^4+11869760*(X+2)^2+941769, -1800*(4*X+9)*(4*X+11)*(4144*(X+5/2)^2+2435), 810000*(4*X+9)*(4*X+11)*(4*X+13)*(4*X+15)]", "text": "This is operator \"6.2\" from ...", "degz": 6, "h3": null, "sol": "1 93 15717/2 1345795/2 473123715/8 42544773243/8 7787361167553/16 722151543940371/16 541102909100896035/128 51071315492859914335/128", "n_discr_factors": "3", "c3": null, "operator": "4 6 0 0 0 0 1 -93 -406 -686 -560 -280 62589 174828 198966 111552 27888 -8968410 -19883232 -17329824 -7134720 -1189120 387696585 726030592 520783424 169637888 21204736 -5049297000 -7772544000 -4538188800 -1193472000 -119347200 15637050000 21617280000 11067840000 2488320000 207360000", "new_number": "6.2", "id": 414, "operator_tex": "\\theta^4-x\\left(280\\theta^4+560\\theta^3+686\\theta^2+406\\theta+93\\right)+3 x^{2}\\left(9296\\theta^4+37184\\theta^3+66322\\theta^2+58276\\theta+20863\\right)-2 x^{3}\\left(594560\\theta^4+3567360\\theta^3+8664912\\theta^2+9941616\\theta+4484205\\right)+x^{4}\\left(21204736\\theta^4+169637888\\theta^3+520783424\\theta^2+726030592\\theta+387696585\\right)-2^{3} 3^{2} 5^{2} x^{5}(4\\theta+9)(4\\theta+11)(4144\\theta^2+20720\\theta+28335)+2^{4} 3^{4} 5^{4} x^{6}(4\\theta+9)(4\\theta+11)(4\\theta+13)(4\\theta+15)", "superseek": "-8 -1552/3", "discriminant": "6 1 -280 27888 -1189120 21204736 -119347200 207360000", "aesz": null, "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "fd7b14f2d0f2a78723588771a9b1a984", "dim_h": null, "inst": " -8 -44 -1552/3 -8044 -138528 -7377560/3 -46370768 -923702508 -57511308400/3 -409728263024", "cleanlist": "True", "n_sing_real": "4", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "4", "laurent": null, "discriminant_tex": "(100z-1)^2(4z-1)^2(36z-1)^2", "discr_factors": "207360000, (z-1/36)^2, (z-1/100)^2, (z-1/4)^2", "dm_basis": null, "q": "0 1 -34 627 -12164 173165 -3028038 42010079 -741949320 9120226173", "yuk": "1 -8 -360 -13976 -515176 -17316008 -531198648 -15905173432 -472936199272 -13975247955176", "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":"1/100","im":"0","approx_re":"0.01","approx_im":"0.0","exponents":["0","-1/2","1","3/2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/36","im":"0","approx_re":"0.0277777777778","approx_im":"0.0","exponents":["0","-1/2","1","3/2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/4","im":"0","approx_re":"0.25","approx_im":"0.0","exponents":["0","-1/2","1","3/2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["9/4","11/4","13/4","15/4"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -741*X^2-84-702*X^3-189*X^4-390*X, 84564*X^3+57672+195534*X^2+1458*X^4+171396*X, -6088608-6386040*X^2+1180980*X^4-12203460*X+2361960*X^3, -385944264*X-648121824*X^2-29760696*X^4-365631408*X^3-41570496, 16045266672*X-1836660096*X^3+8290479600*X^2-1836660096*X^4+7856823744, 1377495072*(3*X+5)*(3*X+4)*(2*X+3)^2]", "text": "This is operator \"6.35\" from ...", "degz": 6, "h3": null, "sol": "1 84 7452 692688 66448116 6513064848 648237493296 65250781987968 6624881063467092 677185739050601424", "n_discr_factors": "4", "c3": null, "operator": "4 6 0 0 0 0 1 -84 -390 -741 -702 -189 57672 171396 195534 84564 1458 -6088608 -12203460 -6386040 2361960 1180980 -41570496 -385944264 -648121824 -365631408 -29760696 7856823744 16045266672 8290479600 -1836660096 -1836660096 247949112960 665330119776 668085109920 297538935552 49589822592", "new_number": "6.35", "id": 420, "operator_tex": "\\theta^4-3 x\\left(63\\theta^4+234\\theta^3+247\\theta^2+130\\theta+28\\right)+2 3^{4} x^{2}\\left(9\\theta^4+522\\theta^3+1207\\theta^2+1058\\theta+356\\right)+2^{2} 3^{7} x^{3}\\left(135\\theta^4+270\\theta^3-730\\theta^2-1395\\theta-696\\right)-2^{3} 3^{10} x^{4}\\left(63\\theta^4+774\\theta^3+1372\\theta^2+817\\theta+88\\right)-2^{4} 3^{13} x^{5}\\left(72\\theta^4+72\\theta^3-325\\theta^2-629\\theta-308\\right)+2^{5} 3^{16} x^{6}(3\\theta+5)(3\\theta+4)(2\\theta+3)^2", "superseek": null, "discriminant": "6 1 -189 1458 1180980 -29760696 -1836660096 49589822592", "aesz": null, "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "de26083962cade55a4938b4011d0008e", "dim_h": null, "inst": " 21 -1617/4 7941 -986355/4 8179455 -1227169941/4 12151571244 -1015240586355/2 21975670374150 -3923026912252995/4", "cleanlist": "False", "n_sing_real": "5", "sol_explicit": "", "n_sing_rational": "5", "n_sing": "5", "laurent": null, "discriminant_tex": "(54z-1)(27z-1)(54z+1)^2(108z-1)^2", "discr_factors": "49589822592, (z+1/54)^2, z-1/54, (z-1/108)^2, z-1/27", "dm_basis": null, "q": "0 1 -54 2565 -125676 6195150 -310093758 15690242988 -802117062504 41365068279705", "yuk": "1 21 -3213 214428 -15784893 1022431896 -66266965620 4167988936713 -259901605891773 16020263702969778", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/54","im":"0","approx_re":"-0.0185185185185","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","-1/2","1","3/2"],"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":"1/27","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":["4/3","3/2","3/2","5/3"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[49*X^4, 98-336*X^3-840*X^4+126*X^2+294*X, -31108-25968*X^4-186660*X^2-120768*X^3-123144*X, 58112*X^4-440832*X^3-1217328-2142720*X^2-2782080*X, 61952+7815168*X^2+3895296*X+5259264*X^3+909312*X^4, 17874944+42074112*X+7864320*X^3+33030144*X^2-786432*X^4, -524288*(2*X+3)^4]", "text": "This is operator \"6.36\" from ...", "degz": 6, "h3": null, "sol": "1 -2 38 204 7462 129284 3308860 75931544 1941436582 49216354516", "n_discr_factors": "4", "c3": null, "operator": "4 6 0 0 0 0 49 98 294 126 -336 -840 -31108 -123144 -186660 -120768 -25968 -1217328 -2782080 -2142720 -440832 58112 61952 3895296 7815168 5259264 909312 17874944 42074112 33030144 7864320 -786432 -42467328 -113246208 -113246208 -50331648 -8388608", "new_number": "6.36", "id": 421, "operator_tex": "7^{2} \\theta^4-2 7 x\\left(60\\theta^4+24\\theta^3-9\\theta^2-21\\theta-7\\right)-2^{2} x^{2}\\left(6492\\theta^4+30192\\theta^3+46665\\theta^2+30786\\theta+7777\\right)+2^{4} x^{3}\\left(3632\\theta^4-27552\\theta^3-133920\\theta^2-173880\\theta-76083\\right)+2^{9} x^{4}\\left(1776\\theta^4+10272\\theta^3+15264\\theta^2+7608\\theta+121\\right)-2^{14} x^{5}\\left(48\\theta^4-480\\theta^3-2016\\theta^2-2568\\theta-1091\\right)-2^{19} x^{6}\\left((2\\theta+3)^4\\right)", "superseek": "10/7 508/7", "discriminant": "6 49 -840 -25968 58112 909312 -786432 -8388608", "aesz": null, "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "b890cacbc73012eb6554263c3ea04707", "dim_h": null, "inst": " 10/7 100/7 508/7 808 59910/7 855864/7 12382494/7 200115472/7 3327848026/7 58373507100/7", "cleanlist": "True", "n_sing_real": "5", "sol_explicit": "", "n_sing_rational": "5", "n_sing": "5", "laurent": null, "discriminant_tex": "-(16z+1)(32z-1)(4z+1)^2(32z-7)^2", "discr_factors": "-8388608, z+1/16, (z+1/4)^2, z-1/32, (z-7/32)^2", "dm_basis": null, "q": "0 1 -2 -71 -236 -580 -16018 -462550 -8253320 -151220156", "yuk": "1 10/7 810/7 13726/7 362794/7 7488760/7 184881150/7 4247195452/7 102459484458/7 2426001224680/7", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/4","im":"0","approx_re":"-0.25","approx_im":"0.0","exponents":["0","-1/2","1","3/2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/16","im":"0","approx_re":"-0.0625","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","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"7/32","im":"0","approx_re":"0.21875","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":["3/2","3/2","3/2","3/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -176-816*X-1536*X^3-1584*X^2-96*X^4, 167936+446976*X^2+459264*X-24576*X^3-113664*X^4, 7438336*X^4+101056512*X^3+80068608*X^2+14598144*X-10665984, -1278214144+3403677696*X^4+4592762880*X^3-816316416*X^2-3641180160*X, -426543939584-631360192512*X^3-1302180397056*X^2-1206348939264*X-112742891520*X^4, -420906795008*(2*X+3)^4]", "text": "This is operator \"6.37\" from ...", "degz": 6, "h3": null, "sol": "1 176 35792 7805184 1768710928 410452182784 96794298848512 23091883451994112 5557157418591276304 1346475308960917484288", "n_discr_factors": "4", "c3": null, "operator": "4 6 0 0 0 0 1 -176 -816 -1584 -1536 -96 167936 459264 446976 -24576 -113664 -10665984 14598144 80068608 101056512 7438336 -1278214144 -3641180160 -816316416 4592762880 3403677696 -426543939584 -1206348939264 -1302180397056 -631360192512 -112742891520 -34093450395648 -90915867721728 -90915867721728 -40407052320768 -6734508720128", "new_number": "6.37", "id": 422, "operator_tex": "\\theta^4-2^{4} x\\left(6\\theta^4+96\\theta^3+99\\theta^2+51\\theta+11\\right)-2^{9} x^{2}\\left(222\\theta^4+48\\theta^3-873\\theta^2-897\\theta-328\\right)+2^{14} x^{3}\\left(454\\theta^4+6168\\theta^3+4887\\theta^2+891\\theta-651\\right)+2^{19} x^{4}\\left(6492\\theta^4+8760\\theta^3-1557\\theta^2-6945\\theta-2438\\right)-2^{28} 7 x^{5}\\left(60\\theta^4+336\\theta^3+693\\theta^2+642\\theta+227\\right)-2^{33} 7^{2} x^{6}\\left((2\\theta+3)^4\\right)", "superseek": "80 249872", "discriminant": "6 1 -96 -113664 7438336 3403677696 -112742891520 -6734508720128", "aesz": null, "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "0c2998041752cbd976fcc2e18f2072ad", "dim_h": null, "inst": " 80 -4222 249872 -22251117 2195810928 -242075518566 28398707449808 -3506021022953923 449382234721506176 -59370368014417899530", "cleanlist": "True", "n_sing_real": "5", "sol_explicit": "", "n_sing_rational": "5", "n_sing": "5", "laurent": null, "discriminant_tex": "-(32z+1)(64z-1)(224z+1)^2(256z-1)^2", "discr_factors": "-6734508720128, z-1/64, (z-1/256)^2, (z+1/224)^2, z+1/32", "dm_basis": null, "q": "0 1 -112 10624 -1182720 141298608 -18027074048 2404776557568 -332011071045632 47052345138815128", "yuk": "1 80 -33696 6746624 -1424105184 274476366080 -52288305297408 9740756655284224 -1795082765176513760 327599649111984748928", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/32","im":"0","approx_re":"-0.03125","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/224","im":"0","approx_re":"-0.00446428571429","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":"1/256","im":"0","approx_re":"0.00390625","approx_im":"0.0","exponents":["0","-1/2","1","3/2"],"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":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["3/2","3/2","3/2","3/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -168*X^4-598*X^2-528*X^3-334*X-74, 89772*X^2+75800*X+42560*X^3+24284+1040*X^4, 937856*X^2+2065920*X^3-1046784*X-830080+582400*X^4, -117092352*X^2-41107456+3829760*X^4-119742464*X-35471360*X^3, -3860594688*X-4028891136*X^2-1394343936-1875640320*X^3-325582848*X^4, -37748736*(3*X+5)^2*(3*X+4)^2]", "text": "This is operator \"6.38\" from ...", "degz": 6, "h3": null, "sol": "1 74 6354 585020 55958290 5480448804 545384635596 54901271764296 5574757048469010 569912441021078420", "n_discr_factors": "3", "c3": null, "operator": "4 6 0 0 0 0 1 -74 -334 -598 -528 -168 24284 75800 89772 42560 1040 -830080 -1046784 937856 2065920 582400 -41107456 -119742464 -117092352 -35471360 3829760 -1394343936 -3860594688 -4028891136 -1875640320 -325582848 -15099494400 -40768634880 -41108373504 -18345885696 -3057647616", "new_number": "6.38", "id": 423, "operator_tex": "\\theta^4-2 x\\left(84\\theta^4+264\\theta^3+299\\theta^2+167\\theta+37\\right)+2^{2} x^{2}\\left(260\\theta^4+10640\\theta^3+22443\\theta^2+18950\\theta+6071\\right)+2^{7} x^{3}\\left(4550\\theta^4+16140\\theta^3+7327\\theta^2-8178\\theta-6485\\right)+2^{12} x^{4}\\left(935\\theta^4-8660\\theta^3-28587\\theta^2-29234\\theta-10036\\right)-2^{18} 3 x^{5}\\left(414\\theta^4+2385\\theta^3+5123\\theta^2+4909\\theta+1773\\right)-2^{22} 3^{2} x^{6}(3\\theta+5)^2(3\\theta+4)^2", "superseek": "2 952", "discriminant": "6 1 -168 1040 582400 3829760 -325582848 -3057647616", "aesz": null, "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "ab13475ec61ba4278f6e59d858b5c527", "dim_h": null, "inst": " 2 -172 952 -45148 17303644/25 -26019072 600090980 -21048155292 596535616354 -515471219056408/25", "cleanlist": "True", "n_sing_real": "5", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "5", "laurent": null, "discriminant_tex": "-(-1+16z+256z^2)(32z+1)^2(108z-1)^2", "discr_factors": "-3057647616, (z-1/108)^2, (z+1/32)^2, -1/256+1/16*z+z^2", "dm_basis": null, "q": "0 1 -38 871 -23804 626435 -18458314 559674337 -18113570392 599615908222", "yuk": "1 2 -1374 25706 -2890846 86518222 -5620095222 205831206142 -10776658400350 434874464347772", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/32-1/32*5^(1/2)","im":"0","approx_re":"-0.101127","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","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","-1/2","1","3/2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/32+1/32*5^(1/2)","im":"0","approx_re":"0.038627","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":["4/3","4/3","5/3","5/3"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -88*X^3+4-71*X^4-42*X^2+2*X, -10462*X-13294*X^2-875*X^4-6848*X^3-3132, 3357*X^4-208620-403812*X-276444*X^2-57240*X^3, 679104*X^3-1214676*X-1229580+262116*X^2+149283*X^4, 22661694*X^2+492075*X^4+7820712+23317794*X+8345592*X^3, -4782969*X^4+73338858*X^2+162620946*X+103453848, -43046721*(X+2)^4]", "text": "This is operator \"7.20\" from ...", "degz": 7, "h3": null, "sol": "1 -4 147 4496 223111 12256428 709357485 43160215488 2720187059895 176274536441396", "n_discr_factors": "3", "c3": null, "operator": "4 7 0 0 0 0 1 4 2 -42 -88 -71 -3132 -10462 -13294 -6848 -875 -208620 -403812 -276444 -57240 3357 -1229580 -1214676 262116 679104 149283 7820712 23317794 22661694 8345592 492075 103453848 162620946 73338858 0 -4782969 -688747536 -1377495072 -1033121304 -344373768 -43046721", "new_number": "7.20", "id": 443, "operator_tex": "\\theta^4-x\\left(88\\theta^3-4+71\\theta^4+42\\theta^2-2\\theta\\right)-x^{2}\\left(10462\\theta+13294\\theta^2+875\\theta^4+6848\\theta^3+3132\\right)+3^{2} x^{3}\\left(373\\theta^4-6360\\theta^3-30716\\theta^2-44868\\theta-23180\\right)+3^{4} x^{4}\\left(1843\\theta^4+8384\\theta^3+3236\\theta^2-14996\\theta-15180\\right)+3^{8} x^{5}\\left(75\\theta^4+1272\\theta^3+3454\\theta^2+3554\\theta+1192\\right)-3^{11} x^{6}\\left(27\\theta^4-414\\theta^2-918\\theta-584\\right)-3^{16} x^{7}\\left((\\theta+2)^4\\right)", "superseek": "10 3394/3", "discriminant": "7 1 -71 -875 3357 149283 492075 -4782969 -43046721", "aesz": null, "n_sing_complex": "2", "inst_int": "", "c2h": null, "hash": "9d5791eaabb9d0e9cb4b5cd0b2158b12", "dim_h": null, "inst": " 10 77 3394/3 24029 640402 58912007/3 659800738 23733455789 2698636083688/3 35532268316211", "cleanlist": "True", "n_sing_real": "3", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "5", "laurent": null, "discriminant_tex": "-(-1+81z)(9z-1)^2(81z^2+14z+1)^2", "discr_factors": "-43046721, -1/81+z, (z-1/9)^2, (z^2+14/81*z+1/81)^2", "dm_basis": null, "q": "0 1 -14 -135 -458 -22038 -1292652 -48153487 -1891905026 -78912224514", "yuk": "1 10 626 30556 1538482 80050260 4241695676 226311653144 12151530902450 655768568366740", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-7/81","im":"-4/81*2^(1/2)","approx_re":"-0.0864197530864","approx_im":"-0.069838","exponents":["0","-1/2","1","3/2"],"monodromy":[],"monodromy_dm":[]},{"re":"-7/81","im":"4/81*2^(1/2)","approx_re":"-0.0864197530864","approx_im":"0.069838","exponents":["0","-1/2","1","3/2"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"1/81","im":"0","approx_re":"0.0123456790123","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/9","im":"0","approx_re":"0.111111111111","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":["2","2","2","2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -243*X^4-1944*X^3-2106*X^2-1134*X-252, 1733562*X^2+1896858*X+784404-54675*X^4+489888*X^3, 125183880*X^3-55820988*X^2-269499636*X-193444524+36275769*X^4, -1784047437*X^4-44692062336*X^3-78421559724*X^2-49073261940*X-2582803260, 13321840934754*X+6276211921800+7896404406798*X^2-1016978783625*X^4-176663742984*X^3, 1220095597597920*X^3+3095992578904722*X^2+3523026038063994*X+1525119496997400+180472473811359*X^4, 5559060566555523*(X+2)^4]", "text": "This is operator \"7.21\" from ...", "degz": 7, "h3": null, "sol": "1 252 40419 2460816 -1025424441 -470244835476 -112693574960739 -15681819552773184 291015299087501751 931928754097953071028", "n_discr_factors": "3", "c3": null, "operator": "4 7 0 0 0 0 1 -252 -1134 -2106 -1944 -243 784404 1896858 1733562 489888 -54675 -193444524 -269499636 -55820988 125183880 36275769 -2582803260 -49073261940 -78421559724 -44692062336 -1784047437 6276211921800 13321840934754 7896404406798 -176663742984 -1016978783625 1525119496997400 3523026038063994 3095992578904722 1220095597597920 180472473811359 88944969064888368 177889938129776736 133417453597332552 44472484532444184 5559060566555523", "new_number": "7.21", "id": 444, "operator_tex": "\\theta^4-3^{2} x\\left(27\\theta^4+216\\theta^3+234\\theta^2+126\\theta+28\\right)-3^{6} x^{2}\\left(75\\theta^4-672\\theta^3-2378\\theta^2-2602\\theta-1076\\right)+3^{9} x^{3}\\left(1843\\theta^4+6360\\theta^3-2836\\theta^2-13692\\theta-9828\\right)-3^{14} x^{4}\\left(373\\theta^4+9344\\theta^3+16396\\theta^2+10260\\theta+540\\right)-3^{19} x^{5}\\left(875\\theta^4+152\\theta^3-6794\\theta^2-11462\\theta-5400\\right)+3^{26} x^{6}\\left(71\\theta^4+480\\theta^3+1218\\theta^2+1386\\theta+600\\right)+3^{33} x^{7}\\left((\\theta+2)^4\\right)", "superseek": "90 413926", "discriminant": "7 1 -243 -54675 36275769 -1784047437 -1016978783625 180472473811359 5559060566555523", "aesz": null, "n_sing_complex": "2", "inst_int": "", "c2h": null, "hash": "f2cdf32038c22a3da2f5752ad59eaa27", "dim_h": null, "inst": " 90 -4365 413926 -38862153 4502063682 -580399202909 78997404823794 -11316942525045753 1684968614368188280 -258355309614492981267", "cleanlist": "True", "n_sing_real": "3", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "5", "laurent": null, "discriminant_tex": "(1+27z)(243z+1)^2(59049z^2-378z+1)^2", "discr_factors": "5559060566555523, (z+1/243)^2, (z^2-14/2187*z+1/59049)^2, 1/27+z", "dm_basis": null, "q": "0 1 -126 18873 -2482170 359156970 -54095097996 8455289580657 -1363385621250162 225172657035540990", "yuk": "1 90 -34830 11176092 -2487212622 562757960340 -125366216687172 27096109854561432 -5794274575310638158 1228342119874420432212", "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":"-1/243","im":"0","approx_re":"-0.00411522633745","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":"7/2187","im":"-4/2187*2^(1/2)","approx_re":"0.00320073159579","approx_im":"-0.002587","exponents":["0","-1/2","1","3/2"],"monodromy":[],"monodromy_dm":[]},{"re":"7/2187","im":"4/2187*2^(1/2)","approx_re":"0.00320073159579","approx_im":"0.002587","exponents":["0","-1/2","1","3/2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["2","2","2","2"],"monodromy":[],"monodromy_dm":[]}]}]}