{"count": 9, "status":"OK", "data":[{"pols": "[X^4, 2*(2*X+1)^2*(3*X^2+3*X+1), -4*(2*X+1)*(2*X+3)*(47*X^2+94*X+51), 112*(2*X+1)*(2*X+3)^2*(2*X+5)]", "text": "This is operator $\\tilde{C_9}$", "degz": 3, "h3": "112", "sol": "1 -2 54 -980 26950 -746172 22916124 -728987688 24171520230 -822890825900", "n_discr_factors": "2", "c3": "-296", "operator": "4 3 0 0 0 0 1 2 14 38 48 24 -612 -2760 -4388 -3008 -752 5040 18816 22400 10752 1792", "new_number": "3.24", "id": 86, "operator_tex": "\\theta^4+2 x(2\\theta+1)^2(3\\theta^2+3\\theta+1)-2^{2} x^{2}(2\\theta+1)(2\\theta+3)(47\\theta^2+94\\theta+51)+2^{4} 7 x^{3}(2\\theta+1)(2\\theta+3)^2(2\\theta+5)", "superseek": "-2 -108", "discriminant": "3 1 24 -752 1792", "aesz": null, "n_sing_complex": "0", "inst_int": "", "c2h": "160", "hash": "3c89cc2017daa2eba88c016b8ae5865c", "dim_h": "32", "inst": " -2 17 -108 1498 -19630 336250 -41095626/7 113844940 -2279864466 48051301203", "cleanlist": "True", "n_sing_real": "4", "sol_explicit": "", "n_sing_rational": "2", "n_sing": "4", "laurent": null, "discriminant_tex": "(16z-1)(112z^2-40z-1)", "discr_factors": "1792, z^2-5/14*z-1/112, z-1/16", "dm_basis": null, "q": "0 1 6 -87 -252 -244 64438 -1212102 21458968 -500575276", "yuk": "1 -2 134 -2918 96006 -2453752 72627218 -2013685676 58288705286 -1662021198632", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"5/28-1/7*2^(1/2)","im":"0","approx_re":"-0.023459","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":"1/16","im":"0","approx_re":"0.0625","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"5/28+1/7*2^(1/2)","im":"0","approx_re":"0.380602","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","3/2","3/2","5/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, 2*(2*X+1)^2*(7*X^2+7*X+3), 4*(2*X+1)*(2*X+3)*(29*X^2+58*X+33), 240*(2*X+1)*(2*X+3)^2*(2*X+5)]", "text": "This is operator $\\tilde{C_17}$", "degz": 3, "h3": null, "sol": "1 -6 90 -2100 59850 -1898316 64595916 -2311503480 85882732650 -3285031935900", "n_discr_factors": "2", "c3": null, "operator": "4 3 0 0 0 0 1 6 38 94 112 56 396 1752 2732 1856 464 10800 40320 48000 23040 3840", "new_number": "3.25", "id": 87, "operator_tex": "\\theta^4+2 x(2\\theta+1)^2(7\\theta^2+7\\theta+3)+2^{2} x^{2}(2\\theta+1)(2\\theta+3)(29\\theta^2+58\\theta+33)+2^{4} 3 5 x^{3}(2\\theta+1)(2\\theta+3)^2(2\\theta+5)", "superseek": "-2 -308/3", "discriminant": "3 1 56 464 3840", "aesz": null, "n_sing_complex": "2", "inst_int": "", "c2h": null, "hash": "287da3a26b0da679d81da411b46958d1", "dim_h": null, "inst": " -2 12 -308/3 1058 -71158/5 221440 -3690230 66329026 -3765271790/3 123589511692/5", "cleanlist": "True", "n_sing_real": "2", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "4", "laurent": null, "discriminant_tex": "(48z+1)(80z^2+8z+1)", "discr_factors": "3840, z^2+1/10*z+1/80, z+1/48", "dm_basis": null, "q": "0 1 14 105 1236 10756 146526 650834 20611256 -102210048", "yuk": "1 -2 94 -2774 67806 -1778952 47828362 -1265748892 33960529118 -914961047744", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/20","im":"-1/10","approx_re":"-0.05","approx_im":"-0.1","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/20","im":"1/10","approx_re":"-0.05","approx_im":"0.1","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/48","im":"0","approx_re":"-0.0208333333333","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":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1/2","3/2","3/2","5/2"],"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, -15-88*X-200*X^2-224*X^3-265*X^4, 2808+16308*X+36066*X^2+38316*X^3+25950*X^4, -86832-673596*X-1842498*X^2-2096604*X^3-1116270*X^4, 2478600+14128020*X+33287598*X^2+38319156*X^3+18155745*X^4, -17065161*(X+1)^4]", "text": "There is a second MUM-point at infinity, corresponding to \nOperator AESZ 194/5.23.", "degz": 5, "h3": null, "sol": "1 15 567 28113 1584279 96217065 6137825625 405392060655 27477962447895 1900205271755385", "n_discr_factors": "3", "c3": null, "operator": "4 5 0 0 0 0 1 -15 -88 -200 -224 -265 2808 16308 36066 38316 25950 -86832 -673596 -1842498 -2096604 -1116270 2478600 14128020 33287598 38319156 18155745 -17065161 -68260644 -102390966 -68260644 -17065161", "new_number": "5.26", "id": 234, "operator_tex": "\\theta^4-x\\left(15+88\\theta+200\\theta^2+224\\theta^3+265\\theta^4\\right)+2 3 x^{2}\\left(4325\\theta^4+6386\\theta^3+6011\\theta^2+2718\\theta+468\\right)-2 3^{2} x^{3}\\left(62015\\theta^4+116478\\theta^3+102361\\theta^2+37422\\theta+4824\\right)+3^{6} 17 x^{4}\\left(1465\\theta^4+3092\\theta^3+2686\\theta^2+1140\\theta+200\\right)-3^{10} 17^{2} x^{5}\\left((\\theta+1)^4\\right)", "superseek": "-2 3820/9", "discriminant": "5 1 -265 25950 -1116270 18155745 -17065161", "aesz": "199", "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "f7b5c9e3ad50b0885d03c98d07a051f1", "dim_h": null, "inst": " -2 28 3820/9 3924 21606 -28252/3 -621714 36924812 13821031360/9 34301740012", "cleanlist": "True", "n_sing_real": "4", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "4", "laurent": null, "discriminant_tex": "-(z-1)(81z-1)^2(51z-1)^2", "discr_factors": "-17065161, (z-1/51)^2, (z-1/81)^2, z-1", "dm_basis": null, "q": "0 1 -28 282 -100 -909 -119796 -1068648 393948 226538829", "yuk": "1 -2 222 11458 251358 2700748 -2022462 -213247904 18905755102 1119503551618", "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":"1/81","im":"0","approx_re":"0.0123456790123","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"1/51","im":"0","approx_re":"0.0196078431373","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":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1","1","1","1"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -112*(X+1/2)^4-112*(X+1/2)^2-4, 4704*(X+1)^4+6390*(X+1)^2+675, -92416*(X+3/2)^4-130128*(X+3/2)^2-12852, 872704*(X+2)^4+995680*(X+2)^2+93337, -4608*(X+5/2)^2*(784*(X+5/2)^2+647), 1327104*(2*X+5)*(2*X+7)*(X+3)^2]", "text": "YY-pullback of AESZ:130", "degz": 6, "h3": null, "sol": "1 39 2541/2 80689/2 10329363/8 335463921/8 22102840857/16 736991939889/16 198520285467843/128 6736696134963949/128", "n_discr_factors": "3", "c3": null, "operator": "4 6 0 0 0 0 1 -39 -168 -280 -224 -112 11769 31596 34614 18816 4704 -773496 -1638000 -1377744 -554496 -92416 18039321 31909248 21940576 6981632 872704 -159753600 -240698880 -138456576 -36126720 -3612672 418037760 565346304 285327360 63700992 5308416", "new_number": "6.1", "id": 403, "operator_tex": "\\theta^4-x\\left(112\\theta^4+224\\theta^3+280\\theta^2+168\\theta+39\\right)+3 x^{2}\\left(1568\\theta^4+6272\\theta^3+11538\\theta^2+10532\\theta+3923\\right)-2^{3} x^{3}\\left(11552\\theta^4+69312\\theta^3+172218\\theta^2+204750\\theta+96687\\right)+x^{4}\\left(872704\\theta^4+6981632\\theta^3+21940576\\theta^2+31909248\\theta+18039321\\right)-2^{7} 3^{2} x^{5}(784\\theta^2+3920\\theta+5547)(2\\theta+5)^2+2^{14} 3^{4} x^{6}(2\\theta+5)(2\\theta+7)(\\theta+3)^2", "superseek": "-2 -70/3", "discriminant": "6 1 -112 4704 -92416 872704 -3612672 5308416", "aesz": null, "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "28ce9053a8969d292554c4f160bc469e", "dim_h": null, "inst": " -2 -9/2 -70/3 -145 -1060 -16257/2 -64746 -537089 -13892692/3 -41195025", "cleanlist": "True", "n_sing_real": "4", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "4", "laurent": null, "discriminant_tex": "(4z-1)^2(36z-1)^2(16z-1)^2", "discr_factors": "5308416, (z-1/16)^2, (z-1/4)^2, (z-1/36)^2", "dm_basis": null, "q": "0 1 -12 78 -544 2565 -18888 65770 -613056 639786", "yuk": "1 -2 -38 -632 -9318 -132502 -1756424 -22207880 -274998886 -3375924788", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"1/36","im":"0","approx_re":"0.0277777777778","approx_im":"0.0","exponents":["0","-1/2","1","3/2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/16","im":"0","approx_re":"0.0625","approx_im":"0.0","exponents":["0","-1/2","1","3/2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/4","im":"0","approx_re":"0.25","approx_im":"0.0","exponents":["0","-1/2","1","3/2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["5/2","3","3","7/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, 11*X+26*X^3+2+13*X^4+24*X^2, -(141*X^2+282*X+296)*(X+1)^2, -2*(X+2)*(X+1)*(407*X^2+1221*X+654), 28*(X+3)*(X+1)*(389*X^2+1556*X+1460), -1176*(X+4)*(X+1)*(29*X^2+145*X+166), 32928*(X+5)*(X+4)*(X+2)*(X+1)]", "text": "This is operator \"6.20\" from ...", "degz": 6, "h3": null, "sol": "1 -2 28 -224 2464 -26432 302344 -3527456 42147088 -511729568", "n_discr_factors": "4", "c3": null, "operator": "4 6 0 0 0 0 1 2 11 24 26 13 -296 -874 -1001 -564 -141 -2616 -8808 -10262 -4884 -814 122640 294224 247828 87136 10892 -780864 -1658160 -1184232 -341040 -34104 1317120 2568384 1613472 395136 32928", "new_number": "6.20", "id": 404, "operator_tex": "\\theta^4+x\\left(11\\theta+26\\theta^3+2+13\\theta^4+24\\theta^2\\right)-x^{2}(141\\theta^2+282\\theta+296)(\\theta+1)^2-2 x^{3}(\\theta+2)(\\theta+1)(407\\theta^2+1221\\theta+654)+2^{2} 7 x^{4}(\\theta+3)(\\theta+1)(389\\theta^2+1556\\theta+1460)-2^{3} 3 7^{2} x^{5}(\\theta+4)(\\theta+1)(29\\theta^2+145\\theta+166)+2^{5} 3 7^{3} x^{6}(\\theta+5)(\\theta+4)(\\theta+2)(\\theta+1)", "superseek": "0 -1/3", "discriminant": "6 1 13 -141 -814 10892 -34104 32928", "aesz": null, "n_sing_complex": "2", "inst_int": "", "c2h": null, "hash": "5169c67af7361bf7e6467dabea9612bd", "dim_h": null, "inst": " 0 1/2 -1/3 -1 -2 124/9 -69/7 -62 -737/3 2927/2", "cleanlist": "True", "n_sing_real": "4", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "6", "laurent": null, "discriminant_tex": "(-1+2z)(4z-1)(21z^2-9z+1)(1+14z)^2", "discr_factors": "32928, (1/14+z)^2, -1/2+z, z^2-3/7*z+1/21, z-1/4", "dm_basis": null, "q": "0 1 3 -17 -83 370 2223 -7945 -58549 168838", "yuk": "1 0 4 -9 -60 -250 2971 -3381 -31804 -179100", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/14","im":"0","approx_re":"-0.0714285714286","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":"3/14","im":"-1/42*3^(1/2)","approx_re":"0.214285714286","approx_im":"-0.041239","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"3/14","im":"1/42*3^(1/2)","approx_re":"0.214285714286","approx_im":"0.041239","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":"1/2","im":"0","approx_re":"0.5","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, 276*X^4+312*X^3+274*X^2+118*X+20, 19184*X^4+63296*X^3+66876*X^2+30440*X+5600, -470080*X^4+2305920*X^3+4675120*X^2+3126000*X+748000, -59069440*X^4-132792320*X^3+19461120*X^2+57909760*X+19246400, 739196928*X^4-2782494720*X^3-3842826240*X^2-1772298240*X-257817600, 32105299968*X^4+113897373696*X^3+156661972992*X^2+98333097984*X+23439605760, -254803968*(6*X+5)^2*(6*X+7)^2]", "text": "This is operator \"7.15\" from ...", "degz": 7, "h3": null, "sol": "1 -20 900 -55280 3962500 -310443120 25751401200 -2222681112000 197544186663300 -17956101863018000", "n_discr_factors": "3", "c3": null, "operator": "4 7 0 0 0 0 1 20 118 274 312 276 5600 30440 66876 63296 19184 748000 3126000 4675120 2305920 -470080 19246400 57909760 19461120 -132792320 -59069440 -257817600 -1772298240 -3842826240 -2782494720 739196928 23439605760 98333097984 156661972992 113897373696 32105299968 -312134860800 -1284211998720 -1963009769472 -1320903770112 -330225942528", "new_number": "7.15", "id": 437, "operator_tex": "\\theta^4+2 x\\left(138\\theta^4+156\\theta^3+137\\theta^2+59\\theta+10\\right)+2^{2} x^{2}\\left(4796\\theta^4+15824\\theta^3+16719\\theta^2+7610\\theta+1400\\right)-2^{4} 5 x^{3}\\left(5876\\theta^4-28824\\theta^3-58439\\theta^2-39075\\theta-9350\\right)-2^{6} 5 x^{4}\\left(184592\\theta^4+414976\\theta^3-60816\\theta^2-180968\\theta-60145\\right)+2^{10} 3 x^{5}\\left(240624\\theta^4-905760\\theta^3-1250920\\theta^2-576920\\theta-83925\\right)+2^{18} 3^{2} x^{6}\\left(13608\\theta^4+48276\\theta^3+66402\\theta^2+41679\\theta+9935\\right)-2^{20} 3^{5} x^{7}(6\\theta+5)^2(6\\theta+7)^2", "superseek": "-2 -952", "discriminant": "7 1 276 19184 -470080 -59069440 739196928 32105299968 -330225942528", "aesz": null, "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "d9a911258d890c112974a4ba19e93e6d", "dim_h": null, "inst": " -2 -343/2 -952 -45148 -17303644/25 -26018834 -600090980 -21048155292 -596535616354 -515471214730497/25", "cleanlist": "True", "n_sing_real": "5", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "5", "laurent": null, "discriminant_tex": "-(-1-16z+256z^2)(32z-1)^2(108z+1)^3", "discr_factors": "-330225942528, (z+1/108)^3, -1/256-1/16*z+z^2, (z-1/32)^2", "dm_basis": null, "q": "0 1 38 871 23804 626435 18458314 559674337 18113570392 599615908222", "yuk": "1 -2 -1374 -25706 -2890846 -86518222 -5620095222 -205831206142 -10776658400350 -434874464347772", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"1/32-1/32*5^(1/2)","im":"0","approx_re":"-0.038627","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/108","im":"0","approx_re":"-0.00925925925926","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":"1/32","im":"0","approx_re":"0.03125","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"1/32+1/32*5^(1/2)","im":"0","approx_re":"0.101127","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["5/6","5/6","7/6","7/6"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -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":[]}]}, {"pols": "[X^4, -X*(3*X^3-6*X^2-4*X-1), -211*X^4-856*X^3-1433*X^2-1184*X-384, 1522*X^4+6576*X^3+12954*X^2+13308*X+5400, 4*(X+1)*(2013*X^3+17379*X^2+40726*X+28548), -8*(X+1)*(15719*X^3+126105*X^2+325408*X+269508), 288*(X+1)*(X+2)*(1817*X^2+11967*X+19631), -10368*(X+3)*(X+2)*(X+1)*(89*X+350), 594432*(X+1)*(X+2)*(X+3)*(X+4)]", "text": "This is operator \"8.82\" from ...", "degz": 8, "h3": null, "sol": "1 0 24 -72 1296 -8640 103560 -932400 10135440 -102291840", "n_discr_factors": "5", "c3": null, "operator": "4 8 0 0 0 0 1 0 1 4 6 -3 -384 -1184 -1433 -856 -211 5400 13308 12954 6576 1522 114192 277096 232420 77568 8052 -2156064 -4759328 -3612104 -1134592 -125752 11307456 23854176 17039808 5016384 523296 -21772800 -45453312 -31923072 -9165312 -922752 14266368 29721600 20805120 5944320 594432", "new_number": "8.82", "id": 532, "operator_tex": "\\theta^4-x\\theta(3\\theta^3-6\\theta^2-4\\theta-1)-x^{2}\\left(211\\theta^4+856\\theta^3+1433\\theta^2+1184\\theta+384\\right)+2 x^{3}\\left(761\\theta^4+3288\\theta^3+6477\\theta^2+6654\\theta+2700\\right)+2^{2} x^{4}(\\theta+1)(2013\\theta^3+17379\\theta^2+40726\\theta+28548)-2^{3} x^{5}(\\theta+1)(15719\\theta^3+126105\\theta^2+325408\\theta+269508)+2^{5} 3^{2} x^{6}(\\theta+1)(\\theta+2)(1817\\theta^2+11967\\theta+19631)-2^{7} 3^{4} x^{7}(\\theta+3)(\\theta+2)(\\theta+1)(89\\theta+350)+2^{9} 3^{3} 43 x^{8}(\\theta+1)(\\theta+2)(\\theta+3)(\\theta+4)", "superseek": "0 -1/3", "discriminant": "8 1 -3 -211 1522 8052 -125752 523296 -922752 594432", "aesz": null, "n_sing_complex": "2", "inst_int": "", "c2h": null, "hash": "8bab1ddc8b31cb2c21f01402f27895ce", "dim_h": null, "inst": " 0 1/2 -1/3 -1 -2 124/9 -69/7 -62 -737/3 2927/2", "cleanlist": "True", "n_sing_real": "5", "sol_explicit": "", "n_sing_rational": "5", "n_sing": "7", "laurent": null, "discriminant_tex": "(6z-1)(4z-1)(43z^2-13z+1)(12z+1)^2(-1+2z)^2", "discr_factors": "594432, (z+1/12)^2, (-1/2+z)^2, z-1/6, z-1/4, z^2-13/43*z+1/43", "dm_basis": null, "q": "0 1 1 -25 -5 730 -631 -20569 40309 559198", "yuk": "1 0 4 -9 -60 -250 2971 -3381 -31804 -179100", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/12","im":"0","approx_re":"-0.0833333333333","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":"13/86","im":"-1/86*3^(1/2)","approx_re":"0.151162790698","approx_im":"-0.02014","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"13/86","im":"1/86*3^(1/2)","approx_re":"0.151162790698","approx_im":"0.02014","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":"1/4","im":"0","approx_re":"0.25","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","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":[]}]}]}