{"count": 9, "status":"OK", "data":[{"pols": "[X^4, -43*X^4-86*X^3-77*X^2-34*X-6, 12*(X+1)^2*(6*X+5)*(6*X+7)]", "text": "This is operator \"2.64\" from ...", "degz": 2, "h3": "132", "sol": "1 6 66 924 14850 261756 4933236 97806456 2017042434 42917560620", "n_discr_factors": "2", "c3": "-96", "operator": "4 2 0 0 0 0 1 -6 -34 -77 -86 -43 420 1704 2580 1728 432", "new_number": "2.64", "id": 60, "operator_tex": "\\theta^4-x\\left(43\\theta^4+86\\theta^3+77\\theta^2+34\\theta+6\\right)+2^{2} 3 x^{2}(\\theta+1)^2(6\\theta+5)(6\\theta+7)", "superseek": "1 7", "discriminant": "2 1 -43 432", "aesz": "182", "n_sing_complex": "0", "inst_int": "", "c2h": "132", "hash": "89ba4729efa82413b33fe6928ff8d2c9", "dim_h": "33", "inst": " 1 7/4 7 40 270 7913/4 15618 131512 1168395 21654889/2", "cleanlist": "True", "n_sing_real": "3", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "3", "laurent": null, "discriminant_tex": "(27z-1)(16z-1)", "discr_factors": "432, z-1/16, z-1/27", "dm_basis": ["-96*lambda", "55/2", "1", "1", "-11/2", "-66", "-1", "0", "0", "132", "0", "0", "-132", "0", "0", "0"], "q": "0 1 -10 63 -336 1399 -6150 17483 -103744 -85626", "yuk": "1 1 15 190 2575 33751 427506 5356975 67336719 851760145", "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","132","1","0","0","0","1","1"]},{"re":"1/27","im":"0","approx_re":"0.037037037037","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":["1+96*lambda","0","4*lambda",".1639606e-2","11/2","1","11/48","-4*lambda","0","0","1","0","132","0","11/2","1-96*lambda"],"monodromy_dm":["1","-33","-1","-1","0","1","0","0","0","0","1","0","0","0","0","1"]},{"re":"1/16","im":"0","approx_re":"0.0625","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":["17/4+288*lambda","-13/24-48*lambda","13/96+12*lambda","-.21754163e-1-52/11*lambda","33/2","-7/4","11/16","-13/96-12*lambda","66","-11","15/4","-13/24-48*lambda","396","-66","33/2","-9/4-288*lambda"],"monodromy_dm":["-5","-132","-7/2","-3","1","23","583333/1000000","1/2","-66","-1452","-75/2","-33","45","990","105/4","47/2"]},{"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, -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, -35*X^4-70*X^3-63*X^2-28*X-5, (X+1)^2*(259*X^2+518*X+285), -225*(X+1)^2*(X+2)^2]", "text": "", "degz": 3, "h3": "120", "sol": "1 5 45 545 7885 127905 2241225 41467725 798562125 15855173825", "n_discr_factors": "3", "c3": "-80", "operator": "4 3 0 0 0 0 1 -5 -28 -63 -70 -35 285 1088 1580 1036 259 -900 -2700 -2925 -1350 -225", "new_number": "3.1", "id": 79, "operator_tex": "\\theta^4-x\\left(35\\theta^4+70\\theta^3+63\\theta^2+28\\theta+5\\right)+x^{2}(\\theta+1)^2(259\\theta^2+518\\theta+285)-3^{2} 5^{2} x^{3}(\\theta+1)^2(\\theta+2)^2", "superseek": "1 28/3", "discriminant": "3 1 -35 259 -225", "aesz": "34", "n_sing_complex": "0", "inst_int": "", "c2h": "120", "hash": "e5461c5f5ae4d929328f66b8955a31f5", "dim_h": "30", "inst": " 1 2 28/3 52 350 7852/3 21514 189154 5252815/3 16877300", "cleanlist": "True", "n_sing_real": "4", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "4", "laurent": null, "discriminant_tex": "-(z-1)(25z-1)(9z-1)", "discr_factors": "-225, z-1/25, z-1/9, z-1", "dm_basis": ["-80*lambda", "25", "1", "1", "-5", "-60", "-1", "0", "0", "120", "0", "0", "-120", "0", "0", "0"], "q": "0 1 -8 36 -168 514 -2760 1676 -83336 -498969", "yuk": "1 1 17 253 3345 43751 565613 7379303 96850193 1276434298", "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":"1/25","im":"0","approx_re":"0.04","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","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1","im":"0","approx_re":"1.0","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","2","2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -16-80*X-161*X^2-162*X^3-81*X^4, 3520+11840*X+15616*X^2+9696*X^3+2424*X^4, -64*(124*X^2+372*X+263)*(2*X+3)^2, 38400*(X+1)*(2*X+5)*(2*X+3)*(X+3)]", "text": "Sporadic Operator.\nB-Incarnation: SII4411\n", "degz": 4, "h3": null, "sol": "1 16 280 5152 98200 1924096 38567776 788141440 16375619992 345184309120", "n_discr_factors": "3", "c3": null, "operator": "4 4 0 0 0 0 1 -16 -80 -161 -162 -81 3520 11840 15616 9696 2424 -151488 -416256 -424448 -190464 -31744 1728000 4147200 3494400 1228800 153600", "new_number": "4.77", "id": 178, "operator_tex": "\\theta^4-x\\left(16+80\\theta+161\\theta^2+162\\theta^3+81\\theta^4\\right)+2^{3} x^{2}\\left(303\\theta^4+1212\\theta^3+1952\\theta^2+1480\\theta+440\\right)-2^{6} x^{3}(124\\theta^2+372\\theta+263)(2\\theta+3)^2+2^{9} 3 5^{2} x^{4}(\\theta+1)(2\\theta+5)(2\\theta+3)(\\theta+3)", "superseek": "1 68/9", "discriminant": "4 1 -81 2424 -31744 153600", "aesz": null, "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "f9623221ffe8be4c1e31a6e6ce195a37", "dim_h": null, "inst": " 1 -2 68/9 -30 150 -778 4374 -25438 463459/3 -960634", "cleanlist": "True", "n_sing_real": "4", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "4", "laurent": null, "discriminant_tex": "(25z-1)(24z-1)(-1+16z)^2", "discr_factors": "153600, z-1/25, (-1/16+z)^2, z-1/24", "dm_basis": null, "q": "0 1 -16 228 -3088 40434 -516960 6493584 -80458272 986088855", "yuk": "1 1 -15 205 -1935 18751 -167859 1500283 -13026191 112620742", "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":"1/25","im":"0","approx_re":"0.04","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":"1/16","im":"0","approx_re":"0.0625","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","3/2","5/2","3"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -70*X^4-86*X^3-77*X^2-34*X-6, 2025*X^4+4806*X^3+5799*X^2+3390*X+774, -29268*X^4-95904*X^3-135972*X^2-89748*X-22356, 206064*X^4+785376*X^3+1155708*X^2+751356*X+180792, -34992*(4*X+3)*(X+1)^2*(4*X+5)]", "text": "This is operator \"5.102\" from ...", "degz": 5, "h3": "288", "sol": "1 6 54 492 3510 756 -656964 -17079336 -299659338 -3854724060", "n_discr_factors": "3", "c3": "-216", "operator": "4 5 0 0 0 0 1 -6 -34 -77 -86 -70 774 3390 5799 4806 2025 -22356 -89748 -135972 -95904 -29268 180792 751356 1155708 785376 206064 -524880 -2169504 -3324240 -2239488 -559872", "new_number": "5.102", "id": 184, "operator_tex": "\\theta^4-x\\left(70\\theta^4+86\\theta^3+77\\theta^2+34\\theta+6\\right)+3 x^{2}\\left(675\\theta^4+1602\\theta^3+1933\\theta^2+1130\\theta+258\\right)-2^{2} 3^{3} x^{3}\\left(271\\theta^4+888\\theta^3+1259\\theta^2+831\\theta+207\\right)+2^{2} 3^{5} x^{4}\\left(212\\theta^4+808\\theta^3+1189\\theta^2+773\\theta+186\\right)-2^{4} 3^{7} x^{5}(4\\theta+3)(\\theta+1)^2(4\\theta+5)", "superseek": "1 -12", "discriminant": "5 1 -70 2025 -29268 206064 -559872", "aesz": "352", "n_sing_complex": "2", "inst_int": "", "c2h": "216", "hash": "fc8b141522720827b1dd2cd28a232c1b", "dim_h": "66", "inst": " 1 -7/8 -12 -131/4 90 3513/2 10694 -1111/2 -639429 -23067635/4", "cleanlist": "True", "n_sing_real": "3", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "5", "laurent": null, "discriminant_tex": "-(16z-1)(432z^2-36z+1)(-1+9z)^2", "discr_factors": "-559872, (-1/9+z)^2, z^2-1/12*z+1/432, z-1/16", "dm_basis": null, "q": "0 1 -10 87 -564 3295 -18198 81229 -391496 2030976", "yuk": "1 1 -6 -323 -2102 11251 379074 3668043 -286518 -466144064", "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":"1/24","im":"-1/72*3^(1/2)","approx_re":"0.0416666666667","approx_im":"-0.024056","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/24","im":"1/72*3^(1/2)","approx_re":"0.0416666666667","approx_im":"0.024056","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":"1/9","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":["3/4","1","1","5/4"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, X^2*(71*X^2-2*X-1), 3696*X^4+8016*X^3+11064*X^2+5952*X+1152, 576*(5*X+3)*(31*X^3+39*X^2-25*X-21), 41472*(2*X+1)*(2*X^3-33*X^2-56*X-24), -2985984*(2*X+1)*(X+1)^2*(2*X+3)]", "text": "This is operator \"5.93\" from ...", "degz": 5, "h3": "144", "sol": "1 0 -72 1440 22680 -1814400 17186400 1816214400 -68448580200 -837073036800", "n_discr_factors": "3", "c3": "-400", "operator": "4 5 0 0 0 0 1 0 0 -1 -2 71 1152 5952 11064 8016 3696 -36288 -103680 -4608 165888 89280 -995328 -4313088 -6013440 -2654208 165888 -8957952 -41803776 -68677632 -47775744 -11943936", "new_number": "5.93", "id": 308, "operator_tex": "\\theta^4+x\\theta^2(71\\theta^2-2\\theta-1)+2^{3} 3 x^{2}\\left(154\\theta^4+334\\theta^3+461\\theta^2+248\\theta+48\\right)+2^{6} 3^{2} x^{3}(5\\theta+3)(31\\theta^3+39\\theta^2-25\\theta-21)+2^{9} 3^{4} x^{4}(2\\theta+1)(2\\theta^3-33\\theta^2-56\\theta-24)-2^{12} 3^{6} x^{5}(2\\theta+1)(\\theta+1)^2(2\\theta+3)", "superseek": "1 2668/3", "discriminant": "5 1 71 3696 89280 165888 -11943936", "aesz": "333", "n_sing_complex": "2", "inst_int": "", "c2h": "192", "hash": "dc274781605ee4262d8745e3fa3a8057", "dim_h": "40", "inst": " 1 -66 2668/3 -2774 -167786 9867394/3 35718934 -2860043462 114038086499/3 1286730194502", "cleanlist": "True", "n_sing_real": "3", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "5", "laurent": null, "discriminant_tex": "-(9z-1)(2304z^2+32z+1)(1+24z)^2", "discr_factors": "-11943936, (1/24+z)^2, z-1/9, z^2+1/72*z+1/2304", "dm_basis": null, "q": "0 1 0 228 -4496 59634 -468000 1166736 -336121632 19409925015", "yuk": "1 1 -527 24013 -178063 -20973249 710475853 12251594363 -1464342430607 27711255043270", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/24","im":"0","approx_re":"-0.0416666666667","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/144","im":"-1/72*2^(1/2)","approx_re":"-0.00694444444444","approx_im":"-0.019642","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/144","im":"1/72*2^(1/2)","approx_re":"-0.00694444444444","approx_im":"0.019642","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":"1/9","im":"0","approx_re":"0.111111111111","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","1","3/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, 6+27*X+47*X^2+40*X^3+20*X^4, -(143*X^2+286*X+120)*(X+1)^2, -18*(X+2)*(X+1)*(291*X^2+873*X+766), -540*(X+3)*(X+1)*(41*X^2+164*X+196), 5400*(X+4)*(X+1)*(29*X^2+145*X+150), 972000*(X+5)*(X+4)*(X+2)*(X+1)]", "text": "This is operator \"6.21\" from ...", "degz": 6, "h3": null, "sol": "1 -6 60 -480 5040 -42336 468456 -3906720 46352160 -367896000", "n_discr_factors": "5", "c3": null, "operator": "4 6 0 0 0 0 1 6 27 47 40 20 -120 -526 -835 -572 -143 -27576 -72792 -71406 -31428 -5238 -317520 -689040 -526500 -177120 -22140 3240000 7182000 5351400 1566000 156600 38880000 75816000 47628000 11664000 972000", "new_number": "6.21", "id": 405, "operator_tex": "\\theta^4+x\\left(6+27\\theta+47\\theta^2+40\\theta^3+20\\theta^4\\right)-x^{2}(143\\theta^2+286\\theta+120)(\\theta+1)^2-2 3^{2} x^{3}(\\theta+2)(\\theta+1)(291\\theta^2+873\\theta+766)-2^{2} 3^{3} 5 x^{4}(\\theta+3)(\\theta+1)(41\\theta^2+164\\theta+196)+2^{3} 3^{3} 5^{2} x^{5}(\\theta+4)(\\theta+1)(29\\theta^2+145\\theta+150)+2^{5} 3^{5} 5^{3} x^{6}(\\theta+5)(\\theta+4)(\\theta+2)(\\theta+1)", "superseek": "1 11", "discriminant": "6 1 20 -143 -5238 -22140 156600 972000", "aesz": null, "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "319d6b2f1541de5252840442cc6f8dcd", "dim_h": null, "inst": " 1 13/4 11 50 1674/5 11339/4 25332 231810 2188747 214734129/10", "cleanlist": "True", "n_sing_real": "6", "sol_explicit": "", "n_sing_rational": "6", "n_sing": "6", "laurent": null, "discriminant_tex": "(6z-1)(15z-1)(9z+1)(12z+1)(10z+1)^2", "discr_factors": "972000, z+1/12, z+1/9, z-1/6, (z+1/10)^2, z-1/15", "dm_basis": null, "q": "0 1 3 -28 -339 -995 8208 79253 -114261 -6614045", "yuk": "1 1 27 298 3227 41851 612630 8688877 118689947 1595596861", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/9","im":"0","approx_re":"-0.111111111111","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/10","im":"0","approx_re":"-0.1","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"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":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"1/15","im":"0","approx_re":"0.0666666666667","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/6","im":"0","approx_re":"0.166666666667","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","4","5"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -76*X^4-80*X^3-73*X^2-33*X-6, 2209*X^4+4228*X^3+4745*X^2+2726*X+648, -31230*X^4-83628*X^3-109782*X^2-73296*X-20232, 225180*X^4+797904*X^3+1263060*X^2+987120*X+307152, -216*(X+1)*(3707*X^3+14055*X^2+20242*X+10704), 15552*(X+1)*(X+2)*(86*X^2+285*X+262), -839808*(X+1)*(X+2)^2*(X+3)]", "text": "This is operator \"7.10\" from ...", "degz": 7, "h3": null, "sol": "1 6 60 816 13104 232416 4408296 87822720 1816916256 38731107264", "n_discr_factors": "5", "c3": null, "operator": "4 7 0 0 0 0 1 -6 -33 -73 -80 -76 648 2726 4745 4228 2209 -20232 -73296 -109782 -83628 -31230 307152 987120 1263060 797904 225180 -2312064 -6684336 -7408152 -3836592 -800712 8149248 21088512 20046528 8444736 1337472 -10077696 -23514624 -19315584 -6718464 -839808", "new_number": "7.10", "id": 432, "operator_tex": "\\theta^4-x\\left(76\\theta^4+80\\theta^3+73\\theta^2+33\\theta+6\\right)+x^{2}\\left(2209\\theta^4+4228\\theta^3+4745\\theta^2+2726\\theta+648\\right)-2 3^{2} x^{3}\\left(1735\\theta^4+4646\\theta^3+6099\\theta^2+4072\\theta+1124\\right)+2^{2} 3^{3} x^{4}\\left(2085\\theta^4+7388\\theta^3+11695\\theta^2+9140\\theta+2844\\right)-2^{3} 3^{3} x^{5}(\\theta+1)(3707\\theta^3+14055\\theta^2+20242\\theta+10704)+2^{6} 3^{5} x^{6}(\\theta+1)(\\theta+2)(86\\theta^2+285\\theta+262)-2^{7} 3^{8} x^{7}(\\theta+1)(\\theta+2)^2(\\theta+3)", "superseek": "1 11", "discriminant": "7 1 -76 2209 -31230 225180 -800712 1337472 -839808", "aesz": null, "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "b1c277f62ba740f9f7e0371ba53e4194", "dim_h": null, "inst": " 1 13/4 11 50 1674/5 11339/4 25332 231810 2188747 214734129/10", "cleanlist": "True", "n_sing_real": "6", "sol_explicit": "", "n_sing_rational": "6", "n_sing": "6", "laurent": null, "discriminant_tex": "-(3z-1)(18z-1)(27z-1)(12z-1)^2(-1+2z)^2", "discr_factors": "-839808, z-1/18, z-1/27, (-1/2+z)^2, (z-1/12)^2, z-1/3", "dm_basis": null, "q": "0 1 -9 44 -207 949 -5616 15965 -166089 -97109", "yuk": "1 1 27 298 3227 41851 612630 8688877 118689947 1595596861", "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":"1/27","im":"0","approx_re":"0.037037037037","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/18","im":"0","approx_re":"0.0555555555556","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","3","4"],"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":"1/2","im":"0","approx_re":"0.5","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","2","3"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -33*X^4-98*X^3-105*X^2-56*X-12, 272*X^4+2208*X^3+4872*X^2+4656*X+1728, 528*X^4-8160*X^3-45168*X^2-72960*X-40608, -1152*(2*X^2+6*X+5)*(4*X^2+12*X-31), 8448*X^4+231936*X^3+908544*X^2+1268736*X+557568, 69632*X^4+270336*X^3-79872*X^2-1449984*X-1529856, -135168*X^4-1220608*X^3-4116480*X^2-6111232*X-3342336, 65536*(X+3)^4]", "text": "This is operator \"8.55\" from ...", "degz": 8, "h3": null, "sol": "1 12 120 1216 13080 149664 1801312 22528512 290011032 3816913696", "n_discr_factors": "5", "c3": null, "operator": "4 8 0 0 0 0 1 -12 -56 -105 -98 -33 1728 4656 4872 2208 272 -40608 -72960 -45168 -8160 528 178560 145152 -34560 -55296 -9216 557568 1268736 908544 231936 8448 -1529856 -1449984 -79872 270336 69632 -3342336 -6111232 -4116480 -1220608 -135168 5308416 7077888 3538944 786432 65536", "new_number": "8.55", "id": 502, "operator_tex": "\\theta^4-x\\left(33\\theta^4+98\\theta^3+105\\theta^2+56\\theta+12\\right)+2^{3} x^{2}\\left(34\\theta^4+276\\theta^3+609\\theta^2+582\\theta+216\\right)+2^{4} 3 x^{3}\\left(11\\theta^4-170\\theta^3-941\\theta^2-1520\\theta-846\\right)-2^{7} 3^{2} x^{4}(2\\theta^2+6\\theta+5)(4\\theta^2+12\\theta-31)+2^{8} 3 x^{5}\\left(11\\theta^4+302\\theta^3+1183\\theta^2+1652\\theta+726\\right)+2^{11} x^{6}\\left(34\\theta^4+132\\theta^3-39\\theta^2-708\\theta-747\\right)-2^{12} x^{7}\\left(33\\theta^4+298\\theta^3+1005\\theta^2+1492\\theta+816\\right)+2^{16} x^{8}\\left((\\theta+3)^4\\right)", "superseek": "1 68/9", "discriminant": "8 1 -33 272 528 -9216 8448 69632 -135168 65536", "aesz": null, "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "39ed8ce7572bc79a333f77c892033bcf", "dim_h": null, "inst": " 1 -2 68/9 -30 150 -778 4374 -25438 463459/3 -960634", "cleanlist": "True", "n_sing_real": "7", "sol_explicit": "", "n_sing_rational": "5", "n_sing": "7", "laurent": null, "discriminant_tex": "(z-1)(16z-1)(16z^2-16z+1)(4z-1)^2(4z+1)^2", "discr_factors": "65536, (z-1/4)^2, (z+1/4)^2, z-1, z-1/16, z^2-z+1/16", "dm_basis": null, "q": "0 1 -8 52 -336 2226 -15040 103280 -719520 5072791", "yuk": "1 1 -15 205 -1935 18751 -167859 1500283 -13026191 112620742", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/4","im":"0","approx_re":"-0.25","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":"1/16","im":"0","approx_re":"0.0625","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/2-1/4*3^(1/2)","im":"0","approx_re":"0.066987","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","0","-1","1"],"monodromy":[],"monodromy_dm":[]},{"re":"1/2+1/4*3^(1/2)","im":"0","approx_re":"0.933013","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1","im":"0","approx_re":"1.0","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":["3","3","3","3"],"monodromy":[],"monodromy_dm":[]}]}]}