{"count": 9, "status":"OK", "data":[{"pols": "[X^4, -65*X^4-130*X^3-105*X^2-40*X-6, 4*(4*X+3)*(X+1)^2*(4*X+5)]", "text": "A-incarnation: $X(1, 1, 1, 1, 1, 1) \\subset  Grass(3, 6)$", "degz": 2, "h3": "42", "sol": "1 6 126 3948 149310 6300756 285675516 13625781336 674863457598 34412622769140", "n_discr_factors": "2", "c3": "-96", "operator": "4 2 0 0 0 0 1 -6 -40 -105 -130 -65 60 248 380 256 64", "new_number": "2.62", "id": 58, "operator_tex": "\\theta^4-x\\left(65\\theta^4+130\\theta^3+105\\theta^2+40\\theta+6\\right)+2^{2} x^{2}(4\\theta+3)(\\theta+1)^2(4\\theta+5)", "superseek": "5 312", "discriminant": "2 1 -65 64", "aesz": "28", "n_sing_complex": "0", "inst_int": "", "c2h": "84", "hash": "06dd455cafc5097e4f671d385984c1a2", "dim_h": "14", "inst": " 5 28 312 4808 91048 1965908 325780668/7 1178954560 31456810796 874502186004", "cleanlist": "True", "n_sing_real": "3", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "3", "laurent": null, "discriminant_tex": "(64z-1)(z-1)", "discr_factors": "64, z-1/64, z-1", "dm_basis": ["-96*lambda", "21/2", "1", "1", "-7/2", "-21", "-1", "0", "0", "42", "0", "0", "-42", "0", "0", "0"], "q": "0 1 -16 64 -552 -5632 -165472 -4342772 -123146768 -3627953792", "yuk": "1 5 229 8429 307941 11381005 424644781 15963252737 603625042661 22932015078713", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":["1","-1","1/2","-1/6","0","1","-1","1/2","0","0","1","-1","0","0","0","1"],"monodromy_dm":["1","0","0","0","1","1","0","0","0","42","1","0","0","0","1","1"]},{"re":"1/64","im":"0","approx_re":"0.015625","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":["1+96*lambda","0","8*lambda",".5153046e-2","7/2","1","7/24","-8*lambda","0","0","1","0","42","0","7/2","1-96*lambda"],"monodromy_dm":["1","-14","-1","-1","0","1","0","0","0","0","1","0","0","0","0","1"]},{"re":"1","im":"0","approx_re":"1.0","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":["16.+8.373926794*I","-5-576*lambda","5/4+144*lambda","-.204864220-.332298682*I","63","-20","21/4","-5/4-144*lambda","252","-84","22","-5-576*lambda","756+1/500000000*I","-252","63","-14.-8.373926794*I"],"monodromy_dm":["-35","-378","-24","-18","12","127","8","6","-252","-2646","-167","-126","156","1638","104","79"]},{"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, -59*X^4-118*X^3-105*X^2-46*X-8, 96*(X+1)^2*(3*X+2)*(3*X+4)]", "text": "This is operator \"2.69\" from ...", "degz": 2, "h3": "160", "sol": "1 8 120 2240 46840 1051008 24757824 604538880 15179095800 389772468800", "n_discr_factors": "2", "c3": "-128", "operator": "4 2 0 0 0 0 1 -8 -46 -105 -118 -59 768 3264 5088 3456 864", "new_number": "2.69", "id": 65, "operator_tex": "\\theta^4-x\\left(59\\theta^4+118\\theta^3+105\\theta^2+46\\theta+8\\right)+2^{5} 3 x^{2}(\\theta+1)^2(3\\theta+2)(3\\theta+4)", "superseek": "1 5", "discriminant": "2 1 -59 864", "aesz": "205", "n_sing_complex": "0", "inst_int": "", "c2h": "160", "hash": "4fb2e7002e630237d0458c3985cd6a18", "dim_h": "40", "inst": " 1 7/4 5 24 759/5 4475/4 8822 72536 615358 107517313/20", "cleanlist": "True", "n_sing_real": "3", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "3", "laurent": null, "discriminant_tex": "(32z-1)(27z-1)", "discr_factors": "864, z-1/27, z-1/32", "dm_basis": ["-310145437/500000000*I", "100/3", "1", "1", "-20/3", "-80", "-1", "0", "0", "160", "0", "0", "-160", "0", "0", "0"], "q": "0 1 -14 133 -1032 6990 -43798 253594 -1428704 7475227", "yuk": "1 1 15 136 1551 18976 241800 3025947 37139983 448596118", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":["1","-1","1/2","-1/6","0","1","-1","1/2","0","0","1","-1","0","0","0","1"],"monodromy_dm":["1","0","0","0","1","1","0","0","0","160","1","0","0","0","1","1"]},{"re":"1/32","im":"0","approx_re":"0.03125","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":["1.+.620290874*I","0","16/3*lambda",".2404755e-2","20/3","1","5/18","-16/3*lambda","0","0","1","0","160","0","20/3","1.-.620290874*I"],"monodromy_dm":["1","-40","-1","-1","0","1","0","0","0","0","1","0","0","0","0","1"]},{"re":"1/27","im":"0","approx_re":"0.037037037037","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":["3.333327178+1.235680918*I","-.293785798-.155290034*I",".97173439e-1+.52174089e-1*I","-.12126753e-1-.18089273e-1*I","13.327492354-.18865422e-1*I","-.677351606+.3680160e-2*I",".556724039+.2392839e-2*I","-.96900942e-1-.51907518e-1*I","39.969803488-.74697659e-1*I","-5.030457990+.13317419e-1*I","2.669647034+1/243*I*Pi^(1/6)*Zeta(5)^7","-.290681436-.15554156171284634760705289672544080604534005037783375314861460957178841309823677581863979848866498740554156171284634760705289672544080604534005037783375314861460957178841309823677581863979848866498741*I","319.859816505-.452770130*I","-40.256438534+.88323845e-1*I","13.361376945+.57428145e-1*I","-1.325622606-1.245780435*I"],"monodromy_dm":["-3001219/1000000-1031/500000*I","-50063529/500000+81061/1000000*I","-2250727/1000000+1691/500000*I","-499781/250000+283/100000*I","249997/500000+31/1000000*I","6755959/500000-15801/1000000*I","70313/250000-11/20000*I","249811/1000000-467/1000000*I","-39999541/1000000-2481/1000000*I","-500476737/500000+1264109/1000000*I","-21500131/1000000+5501/125000*I","-9992451/500000+37349/1000000*I","27999679/1000000+1737/1000000*I","87583429/125000-221219/250000*I","3937523/250000-6161/200000*I","14989431/1000000-817/31250*I"]},{"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, 15*X^4+30*X^3+35*X^2+20*X+4, -32*(X+1)^2*(66*X^2+132*X+53), -12544*(X+1)*(X+2)*(2*X+1)*(2*X+5)]", "text": "Operator equivalent to AESZ 100= $ a \\ast a$", "degz": 3, "h3": "36", "sol": "1 -4 132 -1120 72100 -265104 59047296 350118912 63064312740 1096066914800", "n_discr_factors": "2", "c3": "-72", "operator": "4 3 0 0 0 0 1 4 20 35 30 15 -1696 -7616 -12256 -8448 -2112 -125440 -489216 -614656 -301056 -50176", "new_number": "3.8", "id": 103, "operator_tex": "\\theta^4+x\\left(15\\theta^4+30\\theta^3+35\\theta^2+20\\theta+4\\right)-2^{5} x^{2}(\\theta+1)^2(66\\theta^2+132\\theta+53)-2^{8} 7^{2} x^{3}(\\theta+1)(\\theta+2)(2\\theta+1)(2\\theta+5)", "superseek": "5 454", "discriminant": "3 1 15 -2112 -50176", "aesz": "~100", "n_sing_complex": "0", "inst_int": "", "c2h": "72", "hash": "82a1ac6ac6fb9ab2e4d6b5d5790d1d9b", "dim_h": "12", "inst": " 5 42 454 7498 154351 3652254 94572705 2621325434 76541504257 2329054186336", "cleanlist": "True", "n_sing_real": "3", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "3", "laurent": null, "discriminant_tex": "-(49z-1)(1+32z)^2", "discr_factors": "-50176, (1/32+z)^2, z-1/49", "dm_basis": null, "q": "0 1 4 -258 -4616 -15963 203304 -9506154 -568626864 -17941215870", "yuk": "1 5 341 12263 480213 19293880 788899463 32438437820 1342119102421 55798756615616", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/32","im":"0","approx_re":"-0.03125","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"1/49","im":"0","approx_re":"0.0204081632653","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, 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, -16-84*X-180*X^2-192*X^3-192*X^4, 5952+23296*X+37760*X^2+31296*X^3+16704*X^4, -694592-2356032*X-3250880*X^2-2280192*X^3-865920*X^4, 40713984+127266816*X+158593536*X^2+98319360*X^3+29657088*X^4, -1449089024-4294181888*X-4970619904*X^2-2780086272*X^3-701853696*X^4, 34139856896+96861929472*X+105196011520*X^2+53599420416*X^3+11625332736*X^4, -543702794240-1480077656064*X-1512235352064*X^2-705261797376*X^3-132992630784*X^4, 5684261224448+14858703339520*X+14290280382464*X^2+6101819719680*X^3+1003990745088*X^4, -13107200*(2*X+3)*(171838*X^3+939735*X^2+1668155*X+905358), 2272788480000*(X+1)*(2*X+5)*(2*X+3)*(X+3)]", "text": "This is operator \"10.7\" from ...", "degz": 10, "h3": null, "sol": "1 16 292 5728 115012 2225536 37164976 345546112 -10171713212 -843836295488", "n_discr_factors": "4", "c3": null, "operator": "4 10 0 0 0 0 1 -16 -84 -180 -192 -192 5952 23296 37760 31296 16704 -694592 -2356032 -3250880 -2280192 -865920 40713984 127266816 158593536 98319360 29657088 -1449089024 -4294181888 -4970619904 -2780086272 -701853696 34139856896 96861929472 105196011520 53599420416 11625332736 -543702794240 -1480077656064 -1512235352064 -705261797376 -132992630784 5684261224448 14858703339520 14290280382464 6101819719680 1003990745088 -35600125132800 -89327940403200 -80681566208000 -31391534284800 -4504630067200 102275481600000 245461155840000 206823751680000 72729231360000 9091153920000", "new_number": "10.7", "id": 323, "operator_tex": "\\theta^4-2^{2} x\\left(48\\theta^4+48\\theta^3+45\\theta^2+21\\theta+4\\right)+2^{6} x^{2}\\left(261\\theta^4+489\\theta^3+590\\theta^2+364\\theta+93\\right)-2^{6} x^{3}\\left(13530\\theta^4+35628\\theta^3+50795\\theta^2+36813\\theta+10853\\right)+2^{8} 3 x^{4}\\left(38616\\theta^4+128020\\theta^3+206502\\theta^2+165712\\theta+53013\\right)-2^{10} x^{5}\\left(685404\\theta^4+2714928\\theta^3+4854121\\theta^2+4193537\\theta+1415126\\right)+2^{13} x^{6}\\left(1419108\\theta^4+6542898\\theta^3+12841310\\theta^2+11823966\\theta+4167463\\right)-2^{14} x^{7}\\left(8117226\\theta^4+43045764\\theta^3+92299521\\theta^2+90336771\\theta+33184985\\right)+2^{16} x^{8}\\left(15319683\\theta^4+93106380\\theta^3+218052374\\theta^2+226725820\\theta+86734943\\right)-2^{19} 5^{2} x^{9}(2\\theta+3)(171838\\theta^3+939735\\theta^2+1668155\\theta+905358)+2^{22} 3 5^{4} 17^{2} x^{10}(\\theta+1)(2\\theta+5)(2\\theta+3)(\\theta+3)", "superseek": "4 -628/9", "discriminant": "10 1 -192 16704 -865920 29657088 -701853696 11625332736 -132992630784 1003990745088 -4504630067200 9091153920000", "aesz": null, "n_sing_complex": "4", "inst_int": "", "c2h": null, "hash": "d5910f048831bb407eb8998c7c57e09f", "dim_h": null, "inst": " 4 5 -628/9 -2823/4 672 133867/9 207788 15579985/4 94033312/3 -299026336", "cleanlist": "True", "n_sing_real": "4", "sol_explicit": "", "n_sing_rational": "5", "n_sing": "8", "laurent": null, "discriminant_tex": "(12z-1)(18496z^3-2352z^2+84z-1)(16z-1)^2(400z^2-32z+1)^2", "discr_factors": "9091153920000, (z^2-2/25*z+1/400)^2, (z-1/16)^2, z^3-147/1156*z^2+21/4624*z-1/18496, z-1/12", "dm_basis": null, "q": "0 1 -20 342 -5200 78917 -1171416 17002890 -245182528 3470494482", "yuk": "1 4 44 -1880 -45124 84004 3210968 71271288 1994192956 22850092936", "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":"-21/2312*2^(1/3)-9/2312*2^(2/3)+49/1156","im":"-1/8*3^(1/2)*(21/289*2^(1/3)-9/289*2^(2/3))","approx_re":"0.024764","approx_im":"-0.009119","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-21/2312*2^(1/3)-9/2312*2^(2/3)+49/1156","im":"1/8*3^(1/2)*(21/289*2^(1/3)-9/289*2^(2/3))","approx_re":"0.024764","approx_im":"0.009119","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/25","im":"-3/100","approx_re":"0.04","approx_im":"-0.03","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"1/25","im":"3/100","approx_re":"0.04","approx_im":"0.03","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"1/16","im":"0","approx_re":"0.0625","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"21/1156*2^(1/3)+9/1156*2^(2/3)+49/1156","im":"0","approx_re":"0.077634","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/12","im":"0","approx_re":"0.0833333333333","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1","3/2","5/2","3"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -X*(5*X^3+46*X^2+29*X+6), -1548*X^4-6228*X^3-8322*X^2-4908*X-1152, -41148*X^4-179712*X^3-302832*X^2-229608*X-67392, -531792*X^4-2560464*X^3-4760208*X^2-4002912*X-1296000, -3396816*X^4-21682080*X^3-50633424*X^2-45542736*X-15225408, -1166400*X^4-87619968*X^3-354274560*X^2-390767328*X-145846656, 143327232*X^4+111974400*X^3-1187348544*X^2-1909303488*X-854924544, 965219328*X^4+3699634176*X^3+586185984*X^2-3934220544*X-2512705536, 994332672*X^4+19026690048*X^3+25382356992*X^2+9231169536*X-1088391168, -12576964608*X^4+7739670528*X^3+60466176000*X^2+61917364224*X+18865446912, -2902376448*(X+1)*(16*X^3+40*X^2+31*X+6), -11609505792*(X+2)*(X+1)*(2*X+3)^2]", "text": "This is operator \"12.6\" from ...", "degz": 12, "h3": null, "sol": "1 0 72 1344 48600 1658880 63303840 2503872000 103054858200 4358669750400", "n_discr_factors": "5", "c3": null, "operator": "4 12 0 0 0 0 1 0 -6 -29 -46 -5 -1152 -4908 -8322 -6228 -1548 -67392 -229608 -302832 -179712 -41148 -1296000 -4002912 -4760208 -2560464 -531792 -15225408 -45542736 -50633424 -21682080 -3396816 -145846656 -390767328 -354274560 -87619968 -1166400 -854924544 -1909303488 -1187348544 111974400 143327232 -2512705536 -3934220544 586185984 3699634176 965219328 -1088391168 9231169536 25382356992 19026690048 994332672 18865446912 61917364224 60466176000 7739670528 -12576964608 -17414258688 -107387928576 -206068727808 -162533081088 -46438023168 -208971104256 -592084795392 -615303806976 -278628139008 -46438023168", "new_number": "12.6", "id": 359, "operator_tex": "\\theta^4-x\\theta(5\\theta^3+46\\theta^2+29\\theta+6)-2 3 x^{2}\\left(258\\theta^4+1038\\theta^3+1387\\theta^2+818\\theta+192\\right)-2^{2} 3^{3} x^{3}\\left(381\\theta^4+1664\\theta^3+2804\\theta^2+2126\\theta+624\\right)-2^{4} 3^{3} x^{4}\\left(1231\\theta^4+5927\\theta^3+11019\\theta^2+9266\\theta+3000\\right)-2^{4} 3^{4} x^{5}\\left(2621\\theta^4+16730\\theta^3+39069\\theta^2+35141\\theta+11748\\right)-2^{5} 3^{5} x^{6}\\left(150\\theta^4+11268\\theta^3+45560\\theta^2+50253\\theta+18756\\right)+2^{6} 3^{7} x^{7}\\left(1024\\theta^4+800\\theta^3-8483\\theta^2-13641\\theta-6108\\right)+2^{8} 3^{7} x^{8}\\left(1724\\theta^4+6608\\theta^3+1047\\theta^2-7027\\theta-4488\\right)+2^{11} 3^{8} x^{9}\\left(74\\theta^4+1416\\theta^3+1889\\theta^2+687\\theta-81\\right)-2^{13} 3^{10} x^{10}\\left(26\\theta^4-16\\theta^3-125\\theta^2-128\\theta-39\\right)-2^{14} 3^{11} x^{11}(\\theta+1)(16\\theta^3+40\\theta^2+31\\theta+6)-2^{16} 3^{11} x^{12}(\\theta+2)(\\theta+1)(2\\theta+3)^2", "superseek": "5 953/3", "discriminant": "12 1 -5 -1548 -41148 -531792 -3396816 -1166400 143327232 965219328 994332672 -12576964608 -46438023168 -46438023168", "aesz": null, "n_sing_complex": "5", "inst_int": "", "c2h": null, "hash": "4ea78627bfc56ef9555d9b6b3c949e7a", "dim_h": null, "inst": " 5 83/2 953/3 5319 97812 6190120/3 48394460 1210203868 286835832886/9 875125075614", "cleanlist": "True", "n_sing_real": "5", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "10", "laurent": null, "discriminant_tex": "-(4z+1)(12z+1)(3z+1)(1728z^3+864z^2+36z-1)(-1-6z-36z^2+432z^3)^2", "discr_factors": "-46438023168, z+1/3, (-1/432-1/72*z-1/12*z^2+z^3)^2, z+1/4, z+1/12, z^3+1/2*z^2+1/48*z-1/1728", "dm_basis": null, "q": "0 1 -6 -141 -276 -1431 -226962 -6457073 -170709960 -4917046797", "yuk": "1 5 337 8582 340753 12226505 445697554 16599299785 619624721169 23233702472348", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/48*(-36+12*I*3^(1/2))^(1/3)-1/4/(-36+12*I*3^(1/2))^(1/3)-1/6+1/24*I*3^(1/2)*(1/2*(-36+12*I*3^(1/2))^(1/3)-6/(-36+12*I*3^(1/2))^(1/3))","im":"0","approx_re":"-0.450956","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/3","im":"0","approx_re":"-0.333333333333","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/4","im":"0","approx_re":"-0.25","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/12","im":"0","approx_re":"-0.0833333333333","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/48*(-36+12*I*3^(1/2))^(1/3)-1/4/(-36+12*I*3^(1/2))^(1/3)-1/6-1/24*I*3^(1/2)*(1/2*(-36+12*I*3^(1/2))^(1/3)-6/(-36+12*I*3^(1/2))^(1/3))","im":"0","approx_re":"-0.067934","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/72*(64+3*417^(1/2))^(1/3)-7/72/(64+3*417^(1/2))^(1/3)+1/36","im":"-1/12*3^(1/2)*(1/6*(64+3*417^(1/2))^(1/3)-7/6/(64+3*417^(1/2))^(1/3))","approx_re":"-0.061146","approx_im":"-0.08671","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/72*(64+3*417^(1/2))^(1/3)-7/72/(64+3*417^(1/2))^(1/3)+1/36","im":"1/12*3^(1/2)*(1/6*(64+3*417^(1/2))^(1/3)-7/6/(64+3*417^(1/2))^(1/3))","approx_re":"-0.061146","approx_im":"0.08671","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":"1/24*(-36+12*I*3^(1/2))^(1/3)+1/2/(-36+12*I*3^(1/2))^(1/3)-1/6","im":"0","approx_re":"0.01889","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/36*(64+3*417^(1/2))^(1/3)+7/36/(64+3*417^(1/2))^(1/3)+1/36","im":"0","approx_re":"0.205625","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1","3/2","3/2","2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -140*X^4-152*X^3-140*X^2-64*X-12, 8736*X^4+17088*X^3+20592*X^2+12640*X+3216, -315392*X^4-824832*X^3-1141056*X^2-811072*X-236352, 7199488*X^4+22632448*X^3+33786112*X^2+25145856*X+7554816, -104279040*X^4-378722304*X^3-599851008*X^2-439520256*X-124710912, 860700672*X^4+3588636672*X^3+5853929472*X^2+3884212224*X+863797248, -1825210368*X^4-9822339072*X^3-9894887424*X^2+8154611712*X+9521528832, -34791358464*X^4-172884492288*X^3-449399881728*X^2-605350526976*X-289478541312, 286399660032*X^4+1812675428352*X^3+4617302704128*X^2+5673210347520*X+2552626151424, 12230590464*(X+1)*(X^3-105*X^2-277*X-267), -73383542784*(X+1)*(X+2)*(93*X^2+441*X+607), 7925422620672*(X+3)*(X+2)*(X+1)*(X+6), 63403380965376*(X+1)*(X+2)*(X+3)*(X+4)]", "text": "This is operator \"13.10\" from ...", "degz": 13, "h3": null, "sol": "1 12 180 2928 47556 674352 5050224 -159433920 -10791594684 -419663644368", "n_discr_factors": "5", "c3": null, "operator": "4 13 0 0 0 0 1 -12 -64 -140 -152 -140 3216 12640 20592 17088 8736 -236352 -811072 -1141056 -824832 -315392 7554816 25145856 33786112 22632448 7199488 -124710912 -439520256 -599851008 -378722304 -104279040 863797248 3884212224 5853929472 3588636672 860700672 9521528832 8154611712 -9894887424 -9822339072 -1825210368 -289478541312 -605350526976 -449399881728 -172884492288 -34791358464 2552626151424 5673210347520 4617302704128 1812675428352 286399660032 -3265567653888 -6653441212416 -4672085557248 -1271981408256 12230590464 -89087620939776 -198355716145152 -155279576530944 -52836150804480 -6824669478912 285315214344192 570630428688384 372494863171584 95105071448064 7925422620672 1521681143169024 3170169048268800 2219118333788160 634033809653760 63403380965376", "new_number": "13.10", "id": 362, "operator_tex": "\\theta^4-2^{2} x\\left(35\\theta^4+38\\theta^3+35\\theta^2+16\\theta+3\\right)+2^{4} x^{2}\\left(546\\theta^4+1068\\theta^3+1287\\theta^2+790\\theta+201\\right)-2^{6} x^{3}\\left(4928\\theta^4+12888\\theta^3+17829\\theta^2+12673\\theta+3693\\right)+2^{8} x^{4}\\left(28123\\theta^4+88408\\theta^3+131977\\theta^2+98226\\theta+29511\\right)-2^{10} 3^{2} x^{5}\\left(11315\\theta^4+41094\\theta^3+65088\\theta^2+47691\\theta+13532\\right)+2^{13} 3^{2} x^{6}\\left(11674\\theta^4+48674\\theta^3+79399\\theta^2+52683\\theta+11716\\right)-2^{15} 3^{3} x^{7}\\left(2063\\theta^4+11102\\theta^3+11184\\theta^2-9217\\theta-10762\\right)-2^{17} 3^{4} x^{8}\\left(3277\\theta^4+16284\\theta^3+42329\\theta^2+57018\\theta+27266\\right)+2^{20} 3^{5} x^{9}\\left(1124\\theta^4+7114\\theta^3+18121\\theta^2+22265\\theta+10018\\right)+2^{24} 3^{6} x^{10}(\\theta+1)(\\theta^3-105\\theta^2-277\\theta-267)-2^{25} 3^{7} x^{11}(\\theta+1)(\\theta+2)(93\\theta^2+441\\theta+607)+2^{27} 3^{10} x^{12}(\\theta+3)(\\theta+2)(\\theta+1)(\\theta+6)+2^{30} 3^{10} x^{13}(\\theta+1)(\\theta+2)(\\theta+3)(\\theta+4)", "superseek": "4 -628/9", "discriminant": "13 1 -140 8736 -315392 7199488 -104279040 860700672 -1825210368 -34791358464 286399660032 12230590464 -6824669478912 7925422620672 63403380965376", "aesz": null, "n_sing_complex": "4", "inst_int": "", "c2h": null, "hash": "2a9fda379889eb2fd218bd01f2520f7a", "dim_h": null, "inst": " 4 5 -628/9 -2823/4 672 133867/9 207788 15579985/4 94033312/3 -299026336", "cleanlist": "True", "n_sing_real": "5", "sol_explicit": "", "n_sing_rational": "6", "n_sing": "9", "laurent": null, "discriminant_tex": "(8z-1)(10368z^3-1728z^2+72z-1)(12z-1)^2(288z^2-24z+1)^2(4z+1)^3", "discr_factors": "63403380965376, z-1/8, z^3-1/6*z^2+1/144*z-1/10368, (z-1/12)^2, (z+1/4)^3, (z^2-1/12*z+1/288)^2", "dm_basis": null, "q": "0 1 -16 198 -1760 13349 -57888 -559014 17566336 -323621262", "yuk": "1 4 44 -1880 -45124 84004 3210968 71271288 1994192956 22850092936", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/4","im":"0","approx_re":"-0.25","approx_im":"0.0","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":"-1/72*2^(1/3)-1/144*2^(2/3)+1/18","im":"-1/24*3^(1/2)*(1/3*2^(1/3)-1/6*2^(2/3))","approx_re":"0.027033","approx_im":"-0.011216","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/72*2^(1/3)-1/144*2^(2/3)+1/18","im":"1/24*3^(1/2)*(1/3*2^(1/3)-1/6*2^(2/3))","approx_re":"0.027033","approx_im":"0.011216","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/24","im":"-1/24","approx_re":"0.0416666666667","approx_im":"-0.0416666666667","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"1/24","im":"1/24","approx_re":"0.0416666666667","approx_im":"0.0416666666667","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"1/12","im":"0","approx_re":"0.0833333333333","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"1/36*2^(1/3)+1/72*2^(2/3)+1/18","im":"0","approx_re":"0.112601","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/8","im":"0","approx_re":"0.125","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","3","4"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -106*X^4-140*X^3-125*X^2-55*X-10, 2472+4265*X^4+12596*X^3+15925*X^2+9718*X, -195296-467544*X^3-74768*X^4-840944*X^2-642984*X, 83856*X^4+8318688*X^3+23431824*X^2+22106112*X+7771200, -176547456+20897472*X^4-38021568*X^3-352505664*X^2-431668032*X, 2270502912-1313616384*X^3-391995648*X^4+2036996352*X^2+4467165696*X, 2628943872*X^4+28598661120*X^3+19941605376*X^2-10287378432*X-12628795392, -50065072128+14254089216*X^4-235057170432*X^3-431131579392*X^2-284714698752*X, 967588577280+175444328448*X^3-463201460224*X^4+2064314425344*X^2+2573642760192*X, 4632867045376*X^4+14014241964032*X^3+16620846841856*X^2+7969362608128*X+989774086144, -38273024*(X+1)*(680053*X^3+2794143*X^2+4238129*X+2311527), 22351446016*(X+2)*(X+1)*(3707*X^2+13713*X+13693), -117479200260096*(X+1)*(X+2)^2*(X+3)]", "text": "This is operator \"13.16\" from ...", "degz": 13, "h3": null, "sol": "1 10 118 1864 38566 940420 25106320 709108480 20845048870 631743322060", "n_discr_factors": "5", "c3": null, "operator": "4 13 0 0 0 0 1 -10 -55 -125 -140 -106 2472 9718 15925 12596 4265 -195296 -642984 -840944 -467544 -74768 7771200 22106112 23431824 8318688 83856 -176547456 -431668032 -352505664 -38021568 20897472 2270502912 4467165696 2036996352 -1313616384 -391995648 -12628795392 -10287378432 19941605376 28598661120 2628943872 -50065072128 -284714698752 -431131579392 -235057170432 14254089216 967588577280 2573642760192 2064314425344 175444328448 -463201460224 989774086144 7969362608128 16620846841856 14014241964032 4632867045376 -88469128347648 -250675141279744 -269146315030528 -132967986888704 -26027684790272 612116700594176 1531185809326080 1391288108711936 555075810361344 82856810381312 -1409750403121152 -3289417607282688 -2702021605982208 -939833602080768 -117479200260096", "new_number": "13.16", "id": 368, "operator_tex": "\\theta^4-x\\left(106\\theta^4+140\\theta^3+125\\theta^2+55\\theta+10\\right)+x^{2}\\left(2472+4265\\theta^4+12596\\theta^3+15925\\theta^2+9718\\theta\\right)-2^{3} x^{3}\\left(9346\\theta^4+58443\\theta^3+105118\\theta^2+80373\\theta+24412\\right)+2^{4} 3 x^{4}\\left(1747\\theta^4+173306\\theta^3+488163\\theta^2+460544\\theta+161900\\right)+2^{6} 3 x^{5}\\left(108841\\theta^4-198029\\theta^3-1835967\\theta^2-2248271\\theta-919518\\right)-2^{8} 3 x^{6}\\left(510411\\theta^4+1710438\\theta^3-2652339\\theta^2-5816622\\theta-2956384\\right)+2^{12} 3 x^{7}\\left(213944\\theta^4+2327365\\theta^3+1622852\\theta^2-837189\\theta-1027734\\right)+2^{10} 3 x^{8}\\left(4640003\\theta^4-76516006\\theta^3-140342311\\theta^2-92680566\\theta-16297224\\right)-2^{13} x^{9}\\left(56543147\\theta^4-21416544\\theta^3-251991507\\theta^2-314165376\\theta-118113840\\right)+2^{16} x^{10}\\left(70691941\\theta^4+213840362\\theta^3+253613996\\theta^2+121602823\\theta+15102754\\right)-2^{19} 73 x^{11}(\\theta+1)(680053\\theta^3+2794143\\theta^2+4238129\\theta+2311527)+2^{22} 73^{2} x^{12}(\\theta+2)(\\theta+1)(3707\\theta^2+13713\\theta+13693)-2^{25} 3^{2} 73^{3} x^{13}(\\theta+1)(\\theta+2)^2(\\theta+3)", "superseek": "5 581/3", "discriminant": "13 1 -106 4265 -74768 83856 20897472 -391995648 2628943872 14254089216 -463201460224 4632867045376 -26027684790272 82856810381312 -117479200260096", "aesz": null, "n_sing_complex": "6", "inst_int": "", "c2h": null, "hash": "2ab5512d2cfda3cde6ee0ea98a12d6fb", "dim_h": null, "inst": " 5 -53/4 581/3 -1231 19810 -733571/4 3135120 -34295069 612366711 -14786470665/2", "cleanlist": "True", "n_sing_real": "5", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "11", "laurent": null, "discriminant_tex": "-(9z-1)(8z-1)(4672z^3-840z^2+57z-1)(64z^2-8z+1)(1-12z-192z^2+2336z^3)^2", "discr_factors": "-117479200260096, z^2-1/8*z+1/64, z-1/9, (1/2336-3/584*z-6/73*z^2+z^3)^2, z-1/8, z^3-105/584*z^2+57/4672*z-1/4672", "dm_basis": null, "q": "0 1 -15 204 -3329 53781 -910080 15391345 -266886135 4620961179", "yuk": "1 5 -101 5234 -78885 2476255 -39607706 1075346165 -17559154213 446415337553", "gv2": null, "gv0": null, 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