{"count": 12, "status":"OK", "data":[{"pols": "[X^4, -2*(2*X+1)^2*(13*X^2+13*X+4), -12*(2*X+1)*(3*X+2)*(3*X+4)*(2*X+3)]", "text": "A-incarnation: $X(1,1,1,1,2) \\subset  Grass(2,6)$", "degz": 2, "h3": "28", "sol": "1 8 288 15200 968800 68923008 5269660704 423919926144 35416227132000 3046522120928000", "n_discr_factors": "2", "c3": "-116", "operator": "4 2 0 0 0 0 1 -8 -58 -162 -208 -104 -288 -1416 -2436 -1728 -432", "new_number": "2.61", "id": 57, "operator_tex": "\\theta^4-2 x(2\\theta+1)^2(13\\theta^2+13\\theta+4)-2^{2} 3 x^{2}(2\\theta+1)(3\\theta+2)(3\\theta+4)(2\\theta+3)", "superseek": "10 1724", "discriminant": "2 1 -104 -432", "aesz": "26", "n_sing_complex": "0", "inst_int": "", "c2h": "76", "hash": "f3fc09474973b19b8bdb783e3322eb65", "dim_h": "11", "inst": " 10 191/2 1724 45680 1478214 54700117 15538355858/7 96420345432 4412026389850 420731987451785/2", "cleanlist": "True", "n_sing_real": "3", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "3", "laurent": null, "discriminant_tex": "-(4z+1)(108z-1)", "discr_factors": "-432, z-1/108, z+1/4", "dm_basis": ["-116*lambda", "47/6", "1", "1", "-19/6", "-14", "-1", "0", "0", "28", "0", "0", "-28", "0", "0", "0"], "q": "0 1 -26 121 -1372 -68612 -2386858 -114302870 -5530073512 -279569669756", "yuk": "1 10 774 46558 2924294 184776760 11815272594 761379437052 49367219785478 3216367238247208", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/4","im":"0","approx_re":"-0.25","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":["20/3+464*lambda","-17/6-232*lambda","1.0456349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349+.414911827*I","-.241563519-.227532292*I","62/3","-28/3","961/252","-1.0456349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349-.414911827*I","56","-28","34/3","-17/6-232*lambda","112","-56","62/3","-14/3-464*lambda"],"monodromy_dm":["-11","-80","-6","-4","6","41","3","2","-108","-720","-53","-36","78","520","39","27"]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":["1","-1","1/2","-1/6","0","1","-1","1/2","0","0","1","-1","0","0","0","1"],"monodromy_dm":["1","0","0","0","1","1","0","0","0","28","1","0","0","0","1","1"]},{"re":"1/108","im":"0","approx_re":"0.00925925925926","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":["1+116*lambda","0",".63575199e-1*I","79/7000","19/6","1","361/1008","-.63575199e-1*I","0","0","1","0","28","0","19/6","1-116*lambda"],"monodromy_dm":["1","-11","-1","-1","0","1","0","0","0","0","1","0","0","0","0","1"]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1/2","2/3","4/3","3/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -172*X^4-344*X^3-286*X^2-114*X-18, 36*(X+1)^2*(236*X^2+472*X+187), -32400*(X+1)*(X+2)*(2*X+1)*(2*X+5)]", "text": "Operator equivalent to AESZ 103 =$c \\ast c$.", "degz": 3, "h3": "36", "sol": "1 18 630 28980 1593270 99340668 6771183804 491734025640 37390439327670 2942412630737580", "n_discr_factors": "2", "c3": "-48", "operator": "4 3 0 0 0 0 1 -18 -114 -286 -344 -172 6732 30456 49212 33984 8496 -324000 -1263600 -1587600 -777600 -129600", "new_number": "3.10", "id": 71, "operator_tex": "\\theta^4-2 x\\left(86\\theta^4+172\\theta^3+143\\theta^2+57\\theta+9\\right)+2^{2} 3^{2} x^{2}(\\theta+1)^2(236\\theta^2+472\\theta+187)-2^{4} 3^{4} 5^{2} x^{3}(\\theta+1)(\\theta+2)(2\\theta+1)(2\\theta+5)", "superseek": "10 664", "discriminant": "3 1 -172 8496 -129600", "aesz": "~103", "n_sing_complex": "0", "inst_int": "", "c2h": "72", "hash": "9239615e8ac132ca232c13367a39ae3b", "dim_h": "12", "inst": " 10 24 664 9088 234388 5667648 162977404 4849452496 154029465758 5070777681360", "cleanlist": "True", "n_sing_real": "3", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "3", "laurent": null, "discriminant_tex": "-(100z-1)(-1+36z)^2", "discr_factors": "-129600, z-1/100, (-1/36+z)^2", "dm_basis": ["-48*lambda", "9", "1", "1", "-3", "-18", "-1", "0", "0", "36", "0", "0", "-36", "0", "0", "0"], "q": "0 1 -42 1407 -46436 1436487 -44122518 1303343085 -38697997416 1108968963840", "yuk": "1 10 202 17938 581834 29298510 1224230098 55901249582 2482920259786 112287480555520", "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","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/36","im":"0","approx_re":"0.0277777777778","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1/2","1","2","5/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -844*X^4-1688*X^3-1502*X^2-658*X-114, 324*(X+1)^2*(716*X^2+1432*X+579), -5143824*(X+1)*(X+2)*(2*X+1)*(2*X+5)]", "text": "", "degz": 3, "h3": null, "sol": "1 114 22518 5236980 1321024950 350026955964 95868151291836 26890684926709032 7679600418083446710 2224185601133574206700", "n_discr_factors": "2", "c3": null, "operator": "4 3 0 0 0 0 1 -114 -658 -1502 -1688 -844 187596 839160 1347516 927936 231984 -51438240 -200609136 -252047376 -123451776 -20575296", "new_number": "3.16", "id": 76, "operator_tex": "\\theta^4-2 x\\left(422\\theta^4+844\\theta^3+751\\theta^2+329\\theta+57\\right)+2^{2} 3^{4} x^{2}(\\theta+1)^2(716\\theta^2+1432\\theta+579)-2^{4} 3^{8} 7^{2} x^{3}(\\theta+1)(\\theta+2)(2\\theta+1)(2\\theta+5)", "superseek": "10 18328", "discriminant": "3 1 -844 231984 -20575296", "aesz": "386", "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "7d032616d3bd41272e22a4d23747d7a0", "dim_h": null, "inst": " 10 -872 18328 -432528 13706388 -713627232 41053701756 -1949477020672 79616564147614 -3586640630165072", "cleanlist": "True", "n_sing_real": "3", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "3", "laurent": null, "discriminant_tex": "-(196z-1)(-1+324z)^2", "discr_factors": "-20575296, (-1/324+z)^2, z-1/196", "dm_basis": ["-144*lambda", "-3/2", "1", "1", "-3/2", "9", "-1", "0", "0", "-18", "0", "0", "18", "0", "0", "0"], "q": "0 1 -202 34815 -5589412 858881991 -128034048246 18671714040813 -2678181565222632 379186080156493056", "yuk": "1 10 -6966 494866 -27688758 1713298510 -154142994222 14081419702318 -998132262272822 58040475264105472", "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":"1/324","im":"0","approx_re":"0.00308641975309","approx_im":"0.0","exponents":["0","0","1","1"],"monodromy":[],"monodromy_dm":[]},{"re":"1/196","im":"0","approx_re":"0.00510204081633","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1/2","1","2","5/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, 208*(X+1/2)^4+192*(X+1/2)^2+6, 9952*(X+1)^4-1978*(X+1)^2-309, -89856*(X+3/2)^4-82320*(X+3/2)^2-2484, 9*(12*X+23)^2*(12*X+25)^2]", "text": "Sporadic YY-Operator", "degz": 4, "h3": null, "sol": "1 -67 11529/2 -1062425/2 406816235/8 -39863964525/8 7936975166253/16 -799185510570033/16 649330423536226995/128 -66391663951923938705/128", "n_discr_factors": "2", "c3": null, "operator": "4 4 0 0 0 0 1 67 296 504 416 208 7665 35852 57734 39808 9952 -642600 -1460016 -1295376 -539136 -89856 2975625 5961600 4476384 1492992 186624", "new_number": "4.28", "id": 124, "operator_tex": "\\theta^4+x\\left(208\\theta^4+416\\theta^3+504\\theta^2+296\\theta+67\\right)+x^{2}\\left(9952\\theta^4+39808\\theta^3+57734\\theta^2+35852\\theta+7665\\right)-2^{3} 3 x^{3}\\left(3744\\theta^4+22464\\theta^3+53974\\theta^2+60834\\theta+26775\\right)+3^{2} x^{4}(12\\theta+23)^2(12\\theta+25)^2", "superseek": "10 1018", "discriminant": "4 1 208 9952 -89856 186624", "aesz": "244", "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "6bf8549841e32615ff2b7798191c0de3", "dim_h": null, "inst": " 10 -167/2 1018 -16457 304664 -12377287/2 134069538 -3047708881 71895701066 -1746715486050", "cleanlist": "True", "n_sing_real": "3", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "3", "laurent": null, "discriminant_tex": "(108z+1)^2(4z-1)^2", "discr_factors": "186624, (z+1/108)^2, (z-1/4)^2", "dm_basis": null, "q": "0 1 28 42 -1008 -14525 182616 -4407494 118650368 -3117539943", "yuk": "1 10 -658 27496 -1053906 38083010 -1336720168 45985851544 -1560428000978 52411966104610", "gv2": null, "gv0": null, "gv1": null}, {"pols": "[289*X^4, 4862*X^4+12478*X^3+11152*X^2+4913*X+867, 36990*X^4+198666*X^3+334881*X^2+236385*X+61200, -369603*X^4-1784592*X^3-3143448*X^2-2416635*X-685746, 807003*X^4+3621672*X^3+5767119*X^2+3956283*X+997272, -531441*(X+1)^4]", "text": "There is a second MUM-point at infinity,\ncorresponding to Operator AESZ 280/5.69", "degz": 5, "h3": "153", "sol": "1 -3 9 51 -1431 16497 -93141 -675027 25911657 -366207267", "n_discr_factors": "2", "c3": "-126", "operator": "4 5 0 0 0 0 289 867 4913 11152 12478 4862 61200 236385 334881 198666 36990 -685746 -2416635 -3143448 -1784592 -369603 997272 3956283 5767119 3621672 807003 -531441 -2125764 -3188646 -2125764 -531441", "new_number": "5.68", "id": 280, "operator_tex": "17^{2} \\theta^4+17 x\\left(286\\theta^4+734\\theta^3+656\\theta^2+289\\theta+51\\right)+3^{2} x^{2}\\left(4110\\theta^4+22074\\theta^3+37209\\theta^2+26265\\theta+6800\\right)-3^{5} x^{3}\\left(1521\\theta^4+7344\\theta^3+12936\\theta^2+9945\\theta+2822\\right)+3^{8} x^{4}\\left(123\\theta^4+552\\theta^3+879\\theta^2+603\\theta+152\\right)-3^{12} x^{5}\\left((\\theta+1)^4\\right)", "superseek": "-10/17 10", "discriminant": "5 289 4862 36990 -369603 807003 -531441", "aesz": "279", "n_sing_complex": "2", "inst_int": "", "c2h": "90", "hash": "06f80606fbeb2b0cc9559df633f1f59d", "dim_h": "33", "inst": " -10/17 -19/17 10 -369/17 -1413/17 23517/17 -94575/17 -353339/17 8025851/17 -43298322/17", "cleanlist": "True", "n_sing_real": "3", "sol_explicit": "", "n_sing_rational": "2", "n_sing": "5", "laurent": null, "discriminant_tex": "-(729z^3-189z^2-20z-1)(-17+27z)^2", "discr_factors": "-531441, z^3-7/27*z^2-20/729*z-1/729, (-17/27+z)^2", "dm_basis": null, "q": "0 1 5 30 44 108 39 -9936 -18201 148149", "yuk": "1 -10/17 -162/17 4580/17 -23778/17 -176635/17 5084100/17 -32439235/17 -10643138 5850849959/17", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/324*(10700+1044*29^(1/2))^(1/3)-109/81/(10700+1044*29^(1/2))^(1/3)+7/81","im":"-1/2*3^(1/2)*(1/162*(10700+1044*29^(1/2))^(1/3)-218/81/(10700+1044*29^(1/2))^(1/3))","approx_re":"-0.044921","approx_im":"-0.04372","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/324*(10700+1044*29^(1/2))^(1/3)-109/81/(10700+1044*29^(1/2))^(1/3)+7/81","im":"1/2*3^(1/2)*(1/162*(10700+1044*29^(1/2))^(1/3)-218/81/(10700+1044*29^(1/2))^(1/3))","approx_re":"-0.044921","approx_im":"0.04372","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":"1/162*(10700+1044*29^(1/2))^(1/3)+218/81/(10700+1044*29^(1/2))^(1/3)+7/81","im":"0","approx_re":"0.349102","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"17/27","im":"0","approx_re":"0.62962962963","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1","1","1","1"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, 14+63*X+102*X^2+78*X^3+231*X^4, 2832+13390*X+24563*X^2+19308*X^3+21987*X^4, 352672+1419720*X+2324296*X^2+1805664*X^3+1125600*X^4, 23999328+84832080*X+121146528*X^2+84946080*X^3+34238160*X^4, 1011937792+3163755712*X+3898985600*X^2+2317524096*X^3+658987200*X^4, 29930864384+82679261184*X+86846564416*X^2+42229069824*X^3+8773650624*X^4, 636308921344+1594777115136*X+1456912535040*X^2+585238996992*X^3+91840361472*X^4, 8156255989760+19399756595200*X+16303641829376*X^2+5801678782464*X^3+757052485632*X^4, 3080192*(2*X+3)*(622034*X^3+4130865*X^2+8390461*X+4891218), 2008235900928*(X+1)*(2*X+5)*(2*X+3)*(X+3)]", "text": "This is operator \"10.4\" from ...", "degz": 10, "h3": null, "sol": "1 -14 250 -5192 116266 -2739044 67228336 -1704859520 44385556138 -1180977725564", "n_discr_factors": "4", "c3": null, "operator": "4 10 0 0 0 0 1 14 63 102 78 231 2832 13390 24563 19308 21987 352672 1419720 2324296 1805664 1125600 23999328 84832080 121146528 84946080 34238160 1011937792 3163755712 3898985600 2317524096 658987200 29930864384 82679261184 86846564416 42229069824 8773650624 636308921344 1594777115136 1456912535040 585238996992 91840361472 8156255989760 19399756595200 16303641829376 5801678782464 757052485632 45197671661568 107664473653248 89860033675264 31195667103744 3831968301056 90370615541760 216889477300224 182749466984448 64263548829696 8032943603712", "new_number": "10.4", "id": 320, "operator_tex": "\\theta^4+x\\left(14+63\\theta+102\\theta^2+78\\theta^3+231\\theta^4\\right)+x^{2}\\left(2832+13390\\theta+24563\\theta^2+19308\\theta^3+21987\\theta^4\\right)+2^{3} x^{3}\\left(140700\\theta^4+225708\\theta^3+290537\\theta^2+177465\\theta+44084\\right)+2^{4} 3 x^{4}\\left(713295\\theta^4+1769710\\theta^3+2523886\\theta^2+1767335\\theta+499986\\right)+2^{6} x^{5}\\left(10296675\\theta^4+36211314\\theta^3+60921650\\theta^2+49433683\\theta+15811528\\right)+2^{6} x^{6}\\left(137088291\\theta^4+659829216\\theta^3+1356977569\\theta^2+1291863456\\theta+467669756\\right)+2^{9} x^{7}\\left(179375706\\theta^4+1143044916\\theta^3+2845532295\\theta^2+3114799053\\theta+1242790862\\right)+2^{12} x^{8}\\left(184827267\\theta^4+1416425484\\theta^3+3980381306\\theta^2+4736268700\\theta+1991273435\\right)+2^{16} 47 x^{9}(2\\theta+3)(622034\\theta^3+4130865\\theta^2+8390461\\theta+4891218)+2^{20} 3 17^{2} 47^{2} x^{10}(\\theta+1)(2\\theta+5)(2\\theta+3)(\\theta+3)", "superseek": "10 7709/9", "discriminant": "10 1 231 21987 1125600 34238160 658987200 8773650624 91840361472 757052485632 3831968301056 8032943603712", "aesz": null, "n_sing_complex": "2", "inst_int": "", "c2h": null, "hash": "6162ae56594cb4ca6830174a8ed00300", "dim_h": null, "inst": " 10 -149/2 7709/9 -27333/2 242829 -85405225/18 99122532 -4339920081/2 147931798999/3 -1154124338493", "cleanlist": "True", "n_sing_real": "6", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "8", "laurent": null, "discriminant_tex": "(24z+1)(2312z^3+75z^2+15z+1)(32z+1)^2(376z^2+64z+1)^2", "discr_factors": "8032943603712, (z^2+8/47*z+1/376)^2, z^3+75/2312*z^2+15/2312*z+1/2312, (z+1/32)^2, z+1/24", "dm_basis": null, "q": "0 1 7 48 167 8969 -74274 2936074 -67129997 1764498447", "yuk": "1 10 -586 23137 -875242 30353635 -1024840159 33999028486 -1111020415978 35947427179894", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-4/47-9/188*2^(1/2)","im":"0","approx_re":"-0.152808","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"-81/2312*3^(2/3)+45/2312*3^(1/3)-25/2312","im":"0","approx_re":"-0.055617","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/24","im":"0","approx_re":"-0.0416666666667","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/32","im":"0","approx_re":"-0.03125","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"-4/47+9/188*2^(1/2)","im":"0","approx_re":"-0.017405","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":"81/4624*3^(2/3)-45/4624*3^(1/3)-25/2312","im":"1/2*3^(1/2)*(-81/2312*3^(2/3)-45/2312*3^(1/3))","approx_re":"0.011589","approx_im":"-0.087422","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"81/4624*3^(2/3)-45/4624*3^(1/3)-25/2312","im":"-1/2*3^(1/2)*(-81/2312*3^(2/3)-45/2312*3^(1/3))","approx_re":"0.011589","approx_im":"0.087422","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1","3/2","5/2","3"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[729*X^4, -80919*X^4-131220*X^3-102060*X^2-36450*X-5103, 861975*X^4+309960*X^3-1146582*X^2-922914*X-204120, 131679*X^4+10007388*X^3+11054610*X^2+5385852*X+1142019, -20696678*X^4-53080096*X^3-84018776*X^2-59911056*X-15760116, 19663130*X^4+134877848*X^3+287380608*X^2+233423852*X+67198286, -112801028-317294820*X-258432404*X^2-11794896*X^3+29081774*X^4, 34539050+18687880*X-142675476*X^2-187765160*X^3-41895970*X^4, 1325117*X^4+114002144*X^3+209338120*X^2+141064960*X+32960772, 20650221*X^4+38200572*X^3+36049212*X^2+24370470*X+8218017, -10635381*X^4-38158776*X^3-54626886*X^2-35547498*X-8739252, 1594323*(X+1)^4]", "text": "This is operator \"11.14\" from ...", "degz": 11, "h3": null, "sol": "1 7 231 11185 654199 42703257 2995533969 221082941247 16945109109495 1337245467114193", "n_discr_factors": "3", "c3": null, "operator": "4 11 0 0 0 0 729 -5103 -36450 -102060 -131220 -80919 -204120 -922914 -1146582 309960 861975 1142019 5385852 11054610 10007388 131679 -15760116 -59911056 -84018776 -53080096 -20696678 67198286 233423852 287380608 134877848 19663130 -112801028 -317294820 -258432404 -11794896 29081774 34539050 18687880 -142675476 -187765160 -41895970 32960772 141064960 209338120 114002144 1325117 8218017 24370470 36049212 38200572 20650221 -8739252 -35547498 -54626886 -38158776 -10635381 1594323 6377292 9565938 6377292 1594323", "new_number": "11.14", "id": 330, "operator_tex": "3^{6} \\theta^4-3^{6} x\\left(111\\theta^4+180\\theta^3+140\\theta^2+50\\theta+7\\right)+3^{3} x^{2}\\left(31925\\theta^4+11480\\theta^3-42466\\theta^2-34182\\theta-7560\\right)+3^{3} x^{3}\\left(4877\\theta^4+370644\\theta^3+409430\\theta^2+199476\\theta+42297\\right)-2 x^{4}\\left(10348339\\theta^4+26540048\\theta^3+42009388\\theta^2+29955528\\theta+7880058\\right)+2 x^{5}\\left(9831565\\theta^4+67438924\\theta^3+143690304\\theta^2+116711926\\theta+33599143\\right)+2 x^{6}\\left(14540887\\theta^4-5897448\\theta^3-129216202\\theta^2-158647410\\theta-56400514\\right)-2 x^{7}\\left(20947985\\theta^4+93882580\\theta^3+71337738\\theta^2-9343940\\theta-17269525\\right)+x^{8}\\left(1325117\\theta^4+114002144\\theta^3+209338120\\theta^2+141064960\\theta+32960772\\right)+3^{4} x^{9}\\left(254941\\theta^4+471612\\theta^3+445052\\theta^2+300870\\theta+101457\\right)-3^{8} x^{10}\\left(1621\\theta^4+5816\\theta^3+8326\\theta^2+5418\\theta+1332\\right)+3^{13} x^{11}\\left((\\theta+1)^4\\right)", "superseek": "10 13958/9", "discriminant": "11 729 -80919 861975 131679 -20696678 19663130 29081774 -41895970 1325117 20650221 -10635381 1594323", "aesz": null, "n_sing_complex": "5", "inst_int": "", "c2h": null, "hash": "0a4e6572e1bb29d996fd62dc404c2446", "dim_h": null, "inst": " 10 2591/27 13958/9 1037839/27 3535478/3 371146237/9 42727053718/27 1755397540159/27 25327325460920/9 3427241102571305/27", "cleanlist": "True", "n_sing_real": "4", "sol_explicit": "", "n_sing_rational": "2", "n_sing": "9", "laurent": null, "discriminant_tex": "(z-1)(243z^4-520z^3+310z^2+96z-1)(27-189z-143z^2+81z^3)^2", "discr_factors": "1594323, z-1, z^4-520/243*z^3+310/243*z^2+32/81*z-1/243, (1/3-7/3*z-143/81*z^2+z^3)^2", "dm_basis": null, "q": "0 1 -22 17 -626 -55126 -2048572 -88461351 -4055850218 -193869600674", "yuk": "1 10 20998/27 41884 66442694/27 441934780/3 240503913172/27 14655379425544/27 898763607004102/27 2051513362376404", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/243*(1298008+4374*I*150770^(1/2))^(1/3)-16594/243/(1298008+4374*I*150770^(1/2))^(1/3)+143/243+1/2*I*3^(1/2)*(2/243*(1298008+4374*I*150770^(1/2))^(1/3)-33188/243/(1298008+4374*I*150770^(1/2))^(1/3))","im":"0","approx_re":"-0.97581","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":"-1/243*(1298008+4374*I*150770^(1/2))^(1/3)-16594/243/(1298008+4374*I*150770^(1/2))^(1/3)+143/243-1/2*I*3^(1/2)*(2/243*(1298008+4374*I*150770^(1/2))^(1/3)-33188/243/(1298008+4374*I*150770^(1/2))^(1/3))","im":"0","approx_re":"0.130861","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"1","im":"0","approx_re":"1.0","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"2/243*(1298008+4374*I*150770^(1/2))^(1/3)+33188/243/(1298008+4374*I*150770^(1/2))^(1/3)+143/243","im":"0","approx_re":"2.610381","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"#ND","im":"#ND","approx_re":"#ND","approx_im":"#ND","exponents":["0","1","1","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, 127*X^4-2*X^3+22*X^2+23*X+6, 4803*X^4+1644*X^3+3459*X^2+430*X-384, 20056*X^4+64944*X^3-19584*X^2-57016*X-23520, -1506800*X^4-1413728*X^3-2134688*X^2-1784112*X-622368, 4290624*X^4+37959552*X^3+150483072*X^2+171473472*X+69110784, 500582592*X^4+2717687808*X^3+6429575232*X^2+6772792320*X+2640096000, -3400496640*X^4-18498917376*X^3-47206361088*X^2-61076740608*X-29078811648, -77713219584*X^4-719080685568*X^3-2326537064448*X^2-3124173348864*X-1451769163776, 17464017125376*X+7548312748032+5122993029120*X^3+14459018379264*X^2+646835798016*X^4, 191102976*(X+1)*(15879*X^3+214401*X^2+816191*X+896789), -4586471424*(X+1)*(X+2)*(8037*X^2+71103*X+151546), 2641807540224*(X+3)*(X+2)*(X+1)*(31*X+152), -52836150804480*(X+1)*(X+2)*(X+3)*(X+4)]", "text": "This is operator \"13.7\" from ...", "degz": 13, "h3": null, "sol": "1 -6 90 -1368 21546 -385236 7073136 -133747200 2639185578 -52865736876", "n_discr_factors": "5", "c3": null, "operator": "4 13 0 0 0 0 1 6 23 22 -2 127 -384 430 3459 1644 4803 -23520 -57016 -19584 64944 20056 -622368 -1784112 -2134688 -1413728 -1506800 69110784 171473472 150483072 37959552 4290624 2640096000 6772792320 6429575232 2717687808 500582592 -29078811648 -61076740608 -47206361088 -18498917376 -3400496640 -1451769163776 -3124173348864 -2326537064448 -719080685568 -77713219584 7548312748032 17464017125376 14459018379264 5122993029120 646835798016 171379046744064 327355575828480 196949198241792 44007193313280 3034524155904 -1390122796843008 -2737407950585856 -1747119973072896 -436696290164736 -36861470834688 2409328476684288 4908478409736192 3310184847900672 892930948595712 81896033746944 -1268067619307520 -2641807540224000 -1849265278156800 -528361508044800 -52836150804480", "new_number": "13.7", "id": 375, "operator_tex": "\\theta^4+x\\left(127\\theta^4-2\\theta^3+22\\theta^2+23\\theta+6\\right)+x^{2}\\left(4803\\theta^4+1644\\theta^3+3459\\theta^2+430\\theta-384\\right)+2^{3} x^{3}\\left(2507\\theta^4+8118\\theta^3-2448\\theta^2-7127\\theta-2940\\right)-2^{4} x^{4}\\left(94175\\theta^4+88358\\theta^3+133418\\theta^2+111507\\theta+38898\\right)+2^{6} 3 x^{5}\\left(22347\\theta^4+197706\\theta^3+783766\\theta^2+893091\\theta+359952\\right)+2^{6} 3^{2} x^{6}\\left(869067\\theta^4+4718208\\theta^3+11162457\\theta^2+11758320\\theta+4583500\\right)-2^{9} 3^{3} x^{7}\\left(245985\\theta^4+1338174\\theta^3+3414812\\theta^2+4418167\\theta+2103502\\right)-2^{12} 3^{4} x^{8}\\left(234234\\theta^4+2167368\\theta^3+7012373\\theta^2+9416514\\theta+4375751\\right)+2^{15} 3^{5} x^{9}\\left(81234\\theta^4+643380\\theta^3+1815861\\theta^2+2193249\\theta+947968\\right)+2^{18} 3^{6} x^{10}(\\theta+1)(15879\\theta^3+214401\\theta^2+816191\\theta+896789)-2^{21} 3^{7} x^{11}(\\theta+1)(\\theta+2)(8037\\theta^2+71103\\theta+151546)+2^{27} 3^{9} x^{12}(\\theta+3)(\\theta+2)(\\theta+1)(31\\theta+152)-2^{29} 3^{9} 5 x^{13}(\\theta+1)(\\theta+2)(\\theta+3)(\\theta+4)", "superseek": "10 7709/9", "discriminant": "13 1 127 4803 20056 -1506800 4290624 500582592 -3400496640 -77713219584 646835798016 3034524155904 -36861470834688 81896033746944 -52836150804480", "aesz": null, "n_sing_complex": "2", "inst_int": "", "c2h": null, "hash": "47093f7f3b7ab4544ef6b418bdae778b", "dim_h": null, "inst": " 10 -149/2 7709/9 -27333/2 242829 -85405225/18 99122532 -4339920081/2 147931798999/3 -1154124338493", "cleanlist": "True", "n_sing_real": "7", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "9", "laurent": null, "discriminant_tex": "-(16z+1)(2160z^3+27z^2-9z+1)(24z+1)^2(72z^2-48z-1)^2(8z-1)^3", "discr_factors": "-52836150804480, z+1/16, z^3+1/80*z^2-1/240*z+1/2160, (z-1/8)^3, (z^2-2/3*z-1/72)^2, (z+1/24)^2", "dm_basis": null, "q": "0 1 -1 0 -161 9305 -210114 4823674 -121393813 3105856143", "yuk": "1 10 -586 23137 -875242 30353635 -1024840159 33999028486 -1111020415978 35947427179894", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-3/80*3^(2/3)-1/80*3^(1/3)-1/240","im":"0","approx_re":"-0.100198","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/16","im":"0","approx_re":"-0.0625","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/24","im":"0","approx_re":"-0.0416666666667","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"1/3-1/4*2^(1/2)","im":"0","approx_re":"-0.02022","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":"3/160*3^(2/3)+1/160*3^(1/3)-1/240","im":"1/6*3^(1/2)*(-9/80*3^(2/3)+3/80*3^(1/3))","approx_re":"0.043849","approx_im":"-0.05194","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"3/160*3^(2/3)+1/160*3^(1/3)-1/240","im":"-1/6*3^(1/2)*(-9/80*3^(2/3)+3/80*3^(1/3))","approx_re":"0.043849","approx_im":"0.05194","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/8","im":"0","approx_re":"0.125","approx_im":"0.0","exponents":["0","1/2","3/2","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/3+1/4*2^(1/2)","im":"0","approx_re":"0.686887","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1","2","3","4"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[729*X^4, -729*X*(15+70*X+110*X^2+13*X^3), -2122848-8730504*X-14644017*X^2-11733120*X^3-3251043*X^4, -229040136-761874012*X-1000145475*X^2-610919982*X^3-145717731*X^4, -10154502576-29838294432*X-33559038410*X^2-17076321436*X^3-3408842978*X^4, -251605244736-50415346404*X^4-675911472792*X-675627867372*X^2-297573337320*X^3, -3917238396768-505234553704*X^4-3458231468112*X^3-9798487743600*X-8880683375416*X^2, -40316153504256-3513338623008*X^4-27542862515520*X^3-78978329685408*X^2-94945861781952*X, -277974242907776-150075688072320*X^3-16839810938304*X^4-477172222938560*X^2-620569376095360*X, -1258186943869440-540131627746560*X^3-53284587704960*X^4-2671767533018880*X-1903596853875840*X^2, -3478774169556480-98425168350720*X^4-4601619275072000*X^2-1160808918566400*X^3-7014777892505600*X, -147200*(X+1)*(421574469*X^3+6597293181*X^2+28022760832*X+32033938840), 47398400*(X+2)*(X+1)*(2012137*X^2+10160979*X-151326), 76311424000*(1525*X+10484)*(X+3)*(X+2)*(X+1), -73716835584000*(X+1)*(X+2)*(X+3)*(X+4)]", "text": "This is operator \"14.4\" from ...", "degz": 14, "h3": null, "sol": "1 0 182 7020 401730 24561840 1613835560 111253111200 7954237438210 585024047128080", "n_discr_factors": "4", "c3": null, "operator": "4 14 0 0 0 0 729 0 -10935 -51030 -80190 -9477 -2122848 -8730504 -14644017 -11733120 -3251043 -229040136 -761874012 -1000145475 -610919982 -145717731 -10154502576 -29838294432 -33559038410 -17076321436 -3408842978 -251605244736 -675911472792 -675627867372 -297573337320 -50415346404 -3917238396768 -9798487743600 -8880683375416 -3458231468112 -505234553704 -40316153504256 -94945861781952 -78978329685408 -27542862515520 -3513338623008 -277974242907776 -620569376095360 -477172222938560 -150075688072320 -16839810938304 -1258186943869440 -2671767533018880 -1903596853875840 -540131627746560 -53284587704960 -3478774169556480 -7014777892505600 -4601619275072000 -1160808918566400 -98425168350720 -4715395797248000 -8840346191718400 -5096071950713600 -1033177318080000 -62055761836800 -14345220556800 941710463232000 1628413979584000 767730370176000 95372074380800 4800293815296000 9498788190976000 6080417952896000 1498298498816000 116374921600000 -1769204054016000 -3685841779200000 -2580089245440000 -737168355840000 -73716835584000", "new_number": "14.4", "id": 383, "operator_tex": "3^{6} \\theta^4-3^{6} x\\theta(15+70\\theta+110\\theta^2+13\\theta^3)-3^{3} x^{2}\\left(120409\\theta^4+434560\\theta^3+542371\\theta^2+323352\\theta+78624\\right)-3^{3} x^{3}\\left(5396953\\theta^4+22626666\\theta^3+37042425\\theta^2+28217556\\theta+8482968\\right)-2 x^{4}\\left(1704421489\\theta^4+8538160718\\theta^3+16779519205\\theta^2+14919147216\\theta+5077251288\\right)-2^{2} 3 x^{5}\\left(4201278867\\theta^4+24797778110\\theta^3+56302322281\\theta^2+56325956066\\theta+20967103728\\right)-2^{3} x^{6}\\left(63154319213\\theta^4+432278933514\\theta^3+1110085421927\\theta^2+1224810967950\\theta+489654799596\\right)-2^{5} 3 x^{7}\\left(36597277323\\theta^4+286904817870\\theta^3+822690934223\\theta^2+989019393562\\theta+419959932336\\right)-2^{6} x^{8}\\left(263122045911\\theta^4+2344932626130\\theta^3+7455815983415\\theta^2+9696396501490\\theta+4343347545434\\right)-2^{7} 5 x^{9}\\left(83257168289\\theta^4+843955668354\\theta^3+2974370084181\\theta^2+4174636770342\\theta+1965917099796\\right)-2^{9} 5 x^{10}\\left(38447331387\\theta^4+453440983815\\theta^3+1797507529325\\theta^2+2740147614260\\theta+1358896159983\\right)-2^{8} 5^{2} 23 x^{11}(\\theta+1)(421574469\\theta^3+6597293181\\theta^2+28022760832\\theta+32033938840)+2^{9} 5^{2} 7 23^{2} x^{12}(\\theta+2)(\\theta+1)(2012137\\theta^2+10160979\\theta-151326)+2^{10} 5^{3} 7^{2} 23^{3} x^{13}(1525\\theta+10484)(\\theta+3)(\\theta+2)(\\theta+1)-2^{11} 3 5^{3} 7^{3} 23^{4} x^{14}(\\theta+1)(\\theta+2)(\\theta+3)(\\theta+4)", "superseek": "10 13958/9", "discriminant": "14 729 -9477 -3251043 -145717731 -3408842978 -50415346404 -505234553704 -3513338623008 -16839810938304 -53284587704960 -98425168350720 -62055761836800 95372074380800 116374921600000 -73716835584000", "aesz": null, "n_sing_complex": "5", "inst_int": "", "c2h": null, "hash": "0091fcfec3692ae6ced2f585ef96177c", "dim_h": null, "inst": " 10 2591/27 13958/9 1037839/27 3535478/3 371146237/9 42727053718/27 1755397540159/27 25327325460920/9 3427241102571305/27", "cleanlist": "True", "n_sing_real": "5", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "10", "laurent": null, "discriminant_tex": "-(6z+1)(42320z^4+16560z^3+2032z^2+68z-1)(920z^3-1180z^2-378z-27)^2(7z+1)^3", "discr_factors": "-73716835584000, (z^3-59/46*z^2-189/460*z-27/920)^2, z+1/6, z^4+9/23*z^3+127/2645*z^2+17/10580*z-1/42320, (z+1/7)^3", "dm_basis": null, "q": "0 1 -15 -242 109 -23262 -2577142 -110397356 -4745743611 -225967648782", "yuk": "1 10 20998/27 41884 66442694/27 441934780/3 240503913172/27 14655379425544/27 898763607004102/27 2051513362376404", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/6","im":"0","approx_re":"-0.166666666667","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/2*RootOf(2645*_Z^4+2070*_Z^3+508*_Z^2+34*_Z-1,index = 2)","im":"0","approx_re":"-0.157194","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/2*RootOf(2645*_Z^4+2070*_Z^3+508*_Z^2+34*_Z-1,index = 4)","im":"0","approx_re":"-0.157194","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/1380*(59346100+6210*I*150770^(1/2))^(1/3)-15223/138/(59346100+6210*I*150770^(1/2))^(1/3)+59/138+1/4*I*3^(1/2)*(1/345*(59346100+6210*I*150770^(1/2))^(1/3)-30446/69/(59346100+6210*I*150770^(1/2))^(1/3))","im":"0","approx_re":"-0.151128","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/7","im":"0","approx_re":"-0.142857142857","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/1380*(59346100+6210*I*150770^(1/2))^(1/3)-15223/138/(59346100+6210*I*150770^(1/2))^(1/3)+59/138-1/4*I*3^(1/2)*(1/345*(59346100+6210*I*150770^(1/2))^(1/3)-30446/69/(59346100+6210*I*150770^(1/2))^(1/3))","im":"0","approx_re":"-0.124614","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"1/2*RootOf(2645*_Z^4+2070*_Z^3+508*_Z^2+34*_Z-1,index = 3)","im":"0","approx_re":"-0.087777","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":"1/2*RootOf(2645*_Z^4+2070*_Z^3+508*_Z^2+34*_Z-1,index = 1)","im":"0","approx_re":"0.010861","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/690*(59346100+6210*I*150770^(1/2))^(1/3)+15223/69/(59346100+6210*I*150770^(1/2))^(1/3)+59/138","im":"0","approx_re":"1.55835","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1","2","3","4"],"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, -57*X^4-116*X^3-84*X^2-26*X-3, -1788*X^4-6416*X^3-9142*X^2-5542*X-1302, -14644*X^4-112736*X^3-249566*X^2-202198*X-59514, 125406*X^4-487440*X^3-2519838*X^2-2493126*X-815346, 2853954*X^4+7949016*X^3-5063310*X^2-12942666*X-5601636, 14198004*X^4+109699920*X^3+104542974*X^2+18882558*X-10143306, -70150212*X^4+306110016*X^3+547384230*X^2+322053246*X+54915570, -990074583*X^4-2066242608*X^3-1807962282*X^2-774840978*X-143489070, -3486784401*(X+1)^4]", "text": "This is operator \"9.3\" from ...", "degz": 9, "h3": null, "sol": "1 3 135 5349 258039 13868253 798329169 48299457195 3032418099447 195934418454837", "n_discr_factors": "3", "c3": null, "operator": "4 9 0 0 0 0 1 -3 -26 -84 -116 -57 -1302 -5542 -9142 -6416 -1788 -59514 -202198 -249566 -112736 -14644 -815346 -2493126 -2519838 -487440 125406 -5601636 -12942666 -5063310 7949016 2853954 -10143306 18882558 104542974 109699920 14198004 54915570 322053246 547384230 306110016 -70150212 -143489070 -774840978 -1807962282 -2066242608 -990074583 -3486784401 -13947137604 -20920706406 -13947137604 -3486784401", "new_number": "9.3", "id": 542, "operator_tex": "\\theta^4-x\\left(57\\theta^4+116\\theta^3+84\\theta^2+26\\theta+3\\right)-2 x^{2}\\left(894\\theta^4+3208\\theta^3+4571\\theta^2+2771\\theta+651\\right)-2 x^{3}\\left(7322\\theta^4+56368\\theta^3+124783\\theta^2+101099\\theta+29757\\right)+2 3^{2} x^{4}\\left(6967\\theta^4-27080\\theta^3-139991\\theta^2-138507\\theta-45297\\right)+2 3^{4} x^{5}\\left(17617\\theta^4+49068\\theta^3-31255\\theta^2-79893\\theta-34578\\right)+2 3^{8} x^{6}\\left(1082\\theta^4+8360\\theta^3+7967\\theta^2+1439\\theta-773\\right)-2 3^{11} x^{7}\\left(198\\theta^4-864\\theta^3-1545\\theta^2-909\\theta-155\\right)-3^{15} x^{8}\\left(69\\theta^4+144\\theta^3+126\\theta^2+54\\theta+10\\right)-3^{20} x^{9}\\left((\\theta+1)^4\\right)", "superseek": "10 3394/3", "discriminant": "9 1 -57 -1788 -14644 125406 2853954 14198004 -70150212 -990074583 -3486784401", "aesz": null, "n_sing_complex": "2", "inst_int": "", "c2h": null, "hash": "40e3715abcc5c4cb07e700ca79f80abf", "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)(-1+9z)^2(81z^2+14z+1)^3", "discr_factors": "-3486784401, -1/81+z, (-1/9+z)^2, (z^2+14/81*z+1/81)^3", "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","3/2","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","3/2","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":["1","1","1","1"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, 2*X*(-2-13*X-22*X^2+88*X^3), 1024+5224*X+9460*X^2+2888*X^3+13292*X^4, 103872+535872*X+1053264*X^2+809952*X^3+619344*X^4, 5044864+25654784*X+50251104*X^2+43766720*X^3+19798624*X^4, 107344896+557360640*X+1116636672*X^2+1014655488*X^3+382440960*X^4, 732946432+4260642816*X+9610430464*X^2+9819291648*X^3+3723368448*X^4, 4596695040+21116354560*X+39535247360*X^2+36837785600*X^3+14785576960*X^4, 10276044800*(X+1)^4]", "text": "This is operator \"8.87\" from ...", "degz": 8, "h3": null, "sol": "1 0 -64 576 22716 -619200 -8224000 610579200 -1406876975 -552144348000", "n_discr_factors": "3", "c3": null, "operator": "4 8 0 0 0 0 1 0 -4 -26 -44 176 1024 5224 9460 2888 13292 103872 535872 1053264 809952 619344 5044864 25654784 50251104 43766720 19798624 107344896 557360640 1116636672 1014655488 382440960 732946432 4260642816 9610430464 9819291648 3723368448 4596695040 21116354560 39535247360 36837785600 14785576960 10276044800 41104179200 61656268800 41104179200 10276044800", "new_number": "8.87", "id": 549, "operator_tex": "\\theta^4+2 x\\theta(-2-13\\theta-22\\theta^2+88\\theta^3)+2^{2} x^{2}\\left(3323\\theta^4+722\\theta^3+2365\\theta^2+1306\\theta+256\\right)+2^{4} 3 x^{3}\\left(12903\\theta^4+16874\\theta^3+21943\\theta^2+11164\\theta+2164\\right)+2^{5} x^{4}\\left(618707\\theta^4+1367710\\theta^3+1570347\\theta^2+801712\\theta+157652\\right)+2^{9} 3 x^{5}\\left(248985\\theta^4+660583\\theta^3+726977\\theta^2+362865\\theta+69886\\right)+2^{11} x^{6}\\left(1818051\\theta^4+4794576\\theta^3+4692593\\theta^2+2080392\\theta+357884\\right)+2^{17} 5 7 x^{7}\\left(3223\\theta^4+8030\\theta^3+8618\\theta^2+4603\\theta+1002\\right)+2^{23} 5^{2} 7^{2} x^{8}\\left((\\theta+1)^4\\right)", "superseek": "10 18994/9", "discriminant": "8 1 176 13292 619344 19798624 382440960 3723368448 14785576960 10276044800", "aesz": null, "n_sing_complex": "4", "inst_int": "", "c2h": null, "hash": "038b62cbc5b6e43ac232ededcc3b6a59", "dim_h": null, "inst": " 10 -581/4 18994/9 -274969/8 3458142/5 -632204633/36 24611861082/49 -3756728769411/256 34809504792187/81 -1289173855159147/100", "cleanlist": "True", "n_sing_real": "0", "sol_explicit": "", "n_sing_rational": "0", "n_sing": "4", "laurent": null, "discriminant_tex": "(1+44z+2008z^2+39424z^3+32768z^4)(10z+1)^2(56z+1)^2", "discr_factors": "10276044800, (z+1/10)^2, 1/32768+11/8192*z+251/4096*z^2+77/64*z^3+z^4, (z+1/56)^2", "dm_basis": null, "q": "0 1 -4 248 -5504 134228 -3444960 98469408 -3061476864 196840604563/2", "yuk": "1 10 -1152 56992 -2200904 86453560 -3793171968 172283027584 -7513459739726 313285543186675", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/10","im":"0","approx_re":"-0.1","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/56","im":"0","approx_re":"-0.0178571428571","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":"s_1","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"s_3","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"s_2","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"s_4","im":"0","approx_re":"0.0","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","1","1"],"monodromy":[],"monodromy_dm":[]}]}]}