{"count": 5, "status":"OK", "data":[{"pols": "[X^4, -4*(2*X+1)*(46*X^3+53*X^2+45*X+11), -16*(8*X+7)*(64*X^3+312*X^2+440*X+135), 2304*(8*X+3)*(8*X+7)*(8*X+15)*(8*X+19)]", "text": "This is operator \"3.27\" from ...", "degz": 3, "h3": null, "sol": "1 44 6060 972720 182017260 35791099344 7419040168176 1580039635711680 345165714522202860 76690218752572190480", "n_discr_factors": "2", "c3": null, "operator": "4 3 0 0 0 0 1 -44 -268 -572 -608 -368 -15120 -66560 -91264 -47104 -8192 13789440 65691648 95256576 51904512 9437184", "new_number": "3.27", "id": 89, "operator_tex": "\\theta^4-2^{2} x(2\\theta+1)(46\\theta^3+53\\theta^2+45\\theta+11)-2^{4} x^{2}(8\\theta+7)(64\\theta^3+312\\theta^2+440\\theta+135)+2^{8} 3^{2} x^{3}(8\\theta+3)(8\\theta+7)(8\\theta+15)(8\\theta+19)", "superseek": "-60 -61780", "discriminant": "3 1 -368 -8192 9437184", "aesz": "408", "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "32ab77c73baf49023973ad11e5d0852e", "dim_h": null, "inst": " -60 975 -61780 4166460 -1853578608/5 37867183125 -4257618836340 513227769651180 -65192640792060760 43160826739499864412/5", "cleanlist": "True", "n_sing_real": "3", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "3", "laurent": null, "discriminant_tex": "(144z+1)(-1+256z)^2", "discr_factors": "9437184, z+1/144, (-1/256+z)^2", "dm_basis": null, "q": "0 1 -92 1062 638096 -83158015 5949214488 -288733450062 17312990080064 -3005815073484780", "yuk": "1 -60 7740 -1668120 266661180 -46339465260 8179309894680 -1460363260864680 262772618328065340 -47525435137413962160", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/144","im":"0","approx_re":"-0.00694444444444","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":"1/256","im":"0","approx_re":"0.00390625","approx_im":"0.0","exponents":["0","1/4","1","5/4"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["3/8","7/8","15/8","19/8"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -1217*X^4-2050*X^3-1437*X^2-412*X-44, 32*(X+1)*(4550*X^3-186*X^2-899*X-171), -4731904*X^4-817152*X^3-257280*X^2-283392*X-66048, 16384*(2*X+1)*(268*X^3+414*X^2+267*X+65), -1048576*(2*X+1)*(X+1)^2*(2*X+3)]", "text": "B-Incarnation as fibre product 62211- x 362--1\n", "degz": 5, "h3": null, "sol": "1 44 14532 7508960 4749338020 3372027818544 2580301861501056 2080837650475803648 1744473005099559898020 1506842695662878604670640", "n_discr_factors": "3", "c3": null, "operator": "4 5 0 0 0 0 1 -44 -412 -1437 -2050 -1217 -5472 -34240 -34720 139648 145600 -66048 -283392 -257280 -817152 -4731904 1064960 6504448 15532032 17956864 8781824 -3145728 -14680064 -24117248 -16777216 -4194304", "new_number": "5.125", "id": 209, "operator_tex": "\\theta^4-x\\left(1217\\theta^4+2050\\theta^3+1437\\theta^2+412\\theta+44\\right)+2^{5} x^{2}(\\theta+1)(4550\\theta^3-186\\theta^2-899\\theta-171)-2^{8} x^{3}\\left(18484\\theta^4+3192\\theta^3+1005\\theta^2+1107\\theta+258\\right)+2^{14} x^{4}(2\\theta+1)(268\\theta^3+414\\theta^2+267\\theta+65)-2^{20} x^{5}(2\\theta+1)(\\theta+1)^2(2\\theta+3)", "superseek": "229 10128562/3", "discriminant": "5 1 -1217 145600 -4731904 8781824 -4194304", "aesz": null, "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "ce147b64cc67dee1204a2d16f6ac4210", "dim_h": null, "inst": " 229 18542 10128562/3 938391582 323686899951 127878842671770 55493410166184001 25794339813773150174 37906338983979727956355/3 6450913999506829214624928", "cleanlist": "True", "n_sing_real": "5", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "5", "laurent": null, "discriminant_tex": "-(z-1)(1024z^2-1088z+1)(-1+64z)^2", "discr_factors": "-4194304, (-1/64+z)^2, z-1, z^2-17/16*z+1/1024", "dm_basis": null, "q": "0 1 -236 5406 -2250184 -884920987 -397301960952 -194837807831818 -101013994096704816 -54612782667485069886", "yuk": "1 229 148565 91157287 60057209813 40460862494104 27621830108407943 19034239687001112572 13206701984711910098901 9211240373107073984551552", "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":"17/32-3/8*2^(1/2)","im":"0","approx_re":"0.00092","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/64","im":"0","approx_re":"0.015625","approx_im":"0.0","exponents":["0","1","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":"17/32+3/8*2^(1/2)","im":"0","approx_re":"1.06158","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": "[25*X^4, -240*X^4-960*X^3-980*X^2-500*X-100, -8704*X^4-28672*X^3-39104*X^2-25280*X-6480, 57344*X^4+491520*X^3+1180672*X^2+1090560*X+350720, 589824*X^4+3145728*X^3+5357568*X^2+3784704*X+962560, 1048576*(X+1)^4]", "text": "There is a second MUM-point at infinity,\ncorresponding to Operator AESZ 247/5.48", "degz": 5, "h3": null, "sol": "1 4 44 400 5356 59504 851696 10373696 153465580 1971364144", "n_discr_factors": "3", "c3": null, "operator": "4 5 0 0 0 0 25 -100 -500 -980 -960 -240 -6480 -25280 -39104 -28672 -8704 350720 1090560 1180672 491520 57344 962560 3784704 5357568 3145728 589824 1048576 4194304 6291456 4194304 1048576", "new_number": "5.47", "id": 257, "operator_tex": "5^{2} \\theta^4-2^{2} 5 x\\left(12\\theta^4+48\\theta^3+49\\theta^2+25\\theta+5\\right)-2^{4} x^{2}\\left(544\\theta^4+1792\\theta^3+2444\\theta^2+1580\\theta+405\\right)+2^{9} x^{3}\\left(112\\theta^4+960\\theta^3+2306\\theta^2+2130\\theta+685\\right)+2^{12} x^{4}\\left(144\\theta^4+768\\theta^3+1308\\theta^2+924\\theta+235\\right)+2^{20} x^{5}\\left((\\theta+1)^4\\right)", "superseek": "-4/5 -108/5", "discriminant": "5 25 -240 -8704 57344 589824 1048576", "aesz": "246", "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "f51a0c39f9179dc6a561b9afb6f9d85f", "dim_h": null, "inst": " -4/5 22/5 -108/5 694/5 -1040 45234/5 -435788/5 4527046/5 -49614888/5 566774264/5", "cleanlist": "True", "n_sing_real": "4", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "4", "laurent": null, "discriminant_tex": "(1+16z)(16z+5)^2(16z-1)^2", "discr_factors": "1048576, (z-1/16)^2, (z+5/16)^2, 1/16+z", "dm_basis": null, "q": "0 1 -4 -26 368 -1919 5544 -26382 512960 -8419180", "yuk": "1 -4/5 172/5 -584 44588/5 -650004/5 1953560 -149475288/5 463578428 -36169256272/5", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-5/16","im":"0","approx_re":"-0.3125","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/16","im":"0","approx_re":"-0.0625","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"1/16","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","1","1","1"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[25*X^4, -720*X^4-1680*X^3-1440*X^2-600*X-100, -2896*X^4-4288*X^3-1136*X^2+1120*X+560, 256*(X+1)*(37*X^3+248*X^2+375*X+165), 39936*X^4+202752*X^3+338944*X^2+237568*X+60416, 32768*(X+1)^4]", "text": "There is a second MUM-point at infinity, corresponding to\nOperator AESZ 71/5.11\n\nA-Incarnation: (2,0),(02),(1,1),(1,1),(1,1) intersection in $P^4 \\times P^4$", "degz": 5, "h3": "80", "sol": "1 4 44 688 13036 275504 6254576 149329856 3701367532 94438711984", "n_discr_factors": "4", "c3": "-88", "operator": "4 5 0 0 0 0 25 -100 -600 -1440 -1680 -720 560 1120 -1136 -4288 -2896 42240 138240 159488 72960 9472 60416 237568 338944 202752 39936 32768 131072 196608 131072 32768", "new_number": "5.4", "id": 260, "operator_tex": "5^{2} \\theta^4-2^{2} 5 x\\left(36\\theta^4+84\\theta^3+72\\theta^2+30\\theta+5\\right)-2^{4} x^{2}\\left(181\\theta^4+268\\theta^3+71\\theta^2-70\\theta-35\\right)+2^{8} x^{3}(\\theta+1)(37\\theta^3+248\\theta^2+375\\theta+165)+2^{10} x^{4}\\left(39\\theta^4+198\\theta^3+331\\theta^2+232\\theta+59\\right)+2^{15} x^{5}\\left((\\theta+1)^4\\right)", "superseek": "8/5 152/5", "discriminant": "5 25 -720 -2896 9472 39936 32768", "aesz": "21", "n_sing_complex": "0", "inst_int": "", "c2h": "104", "hash": "42a2bc0f0ee2a405ede956176c95721f", "dim_h": "22", "inst": " 8/5 57/10 152/5 253 11552/5 251603/10 294136 37079957/10 245240208/5 3383879274/5", "cleanlist": "True", "n_sing_real": "5", "sol_explicit": "", "n_sing_rational": "5", "n_sing": "5", "laurent": null, "discriminant_tex": "(4z+1)(32z-1)(4z-1)(8z+5)^2", "discr_factors": "32768, z-1/32, z-1/4, (z+5/8)^2, z+1/4", "dm_basis": null, "q": "0 1 -8 14 -32 -719 -2480 -75638 -856192 -13365820", "yuk": "1 8/5 236/5 4112/5 81196/5 1444008/5 27177464/5 504443248/5 9492550188/5 178780115744/5", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-5/8","im":"0","approx_re":"-0.625","approx_im":"0.0","exponents":["0","1","3","4"],"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":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"1/32","im":"0","approx_re":"0.03125","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/4","im":"0","approx_re":"0.25","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": "[25*X^4, -300-1100*X-1660*X^2-1120*X^3-10480*X^4, 680960*X+1964544*X^4+632832*X^3+969344*X^2+158320, -37018880-144348160*X-209849344*X^2-139444224*X^3-217964544*X^4, 15973089280*X^4+17656250368*X+5061877760+16775118848*X^3+25085739008*X^2, -450117763072-1433513492480*X-1922996109312*X^2-1260052807680*X^3-817352409088*X^4, 101136447045632*X^2+63277149192192*X^3+81033617735680*X+30113106231296*X^4+27403069947904, -1172226564947968-3250626939060224*X-3763978341711872*X^2-2205773333528576*X^3-811916054233088*X^4, 54428574353981440*X^3+16123384538595328*X^4+93195756621529088*X+100329190494044160*X^2+35629414452559872, -769799426687369216-1907350033615814656*X-1916083179597332480*X^2-957108379304591360*X^3-235396918291726336*X^4, 2501498904353177600*X^4+11941558294763536384*X^3+27594548875410538496*X+25978776955975106560*X^2+11710476134977110016, -122831035499414552576-276522424495432007680*X-245184900544560365568*X^2-104031884754863259648*X^3-18970780111600615424*X^4, 1852920498288670539776*X+856593656325123080192+613444312443390001152*X^3+99284105585196269568*X^4+1556901146581421522944*X^2, -3736042135678487625728-7821275372064774029312*X-6275928210327371513856*X^2-2315642842002852151296*X^3-338526576790185443328*X^4, 14379237005456595484672*X^2+673306158690398633984*X^4+18603541398336082804736*X+5017514388048998039552*X^3+9112691572412518498304, -590295810358705651712*(X+2)^4]", "text": "This is operator \"15.4\" from ...", "degz": 15, "h3": null, "sol": "1 12 44 -3792 -207124 -8325552 -309616912 -11277235008 -410187134228 -15004164993648", "n_discr_factors": "5", "c3": null, "operator": "4 15 0 0 0 0 25 -300 -1100 -1660 -1120 -10480 158320 680960 969344 632832 1964544 -37018880 -144348160 -209849344 -139444224 -217964544 5061877760 17656250368 25085739008 16775118848 15973089280 -450117763072 -1433513492480 -1922996109312 -1260052807680 -817352409088 27403069947904 81033617735680 101136447045632 63277149192192 30113106231296 -1172226564947968 -3250626939060224 -3763978341711872 -2205773333528576 -811916054233088 35629414452559872 93195756621529088 100329190494044160 54428574353981440 16123384538595328 -769799426687369216 -1907350033615814656 -1916083179597332480 -957108379304591360 -235396918291726336 11710476134977110016 27594548875410538496 25978776955975106560 11941558294763536384 2501498904353177600 -122831035499414552576 -276522424495432007680 -245184900544560365568 -104031884754863259648 -18970780111600615424 856593656325123080192 1852920498288670539776 1556901146581421522944 613444312443390001152 99284105585196269568 -3736042135678487625728 -7821275372064774029312 -6275928210327371513856 -2315642842002852151296 -338526576790185443328 9112691572412518498304 18603541398336082804736 14379237005456595484672 5017514388048998039552 673306158690398633984 -9444732965739290427392 -18889465931478580854784 -14167099448608935641088 -4722366482869645213696 -590295810358705651712", "new_number": "15.4", "id": 392, "operator_tex": "5^{2} \\theta^4-2^{2} 5 x\\left(524\\theta^4+56\\theta^3+83\\theta^2+55\\theta+15\\right)+2^{4} x^{2}\\left(122784\\theta^4+39552\\theta^3+60584\\theta^2+42560\\theta+9895\\right)-2^{8} x^{3}\\left(851424\\theta^4+544704\\theta^3+819724\\theta^2+563860\\theta+144605\\right)+2^{13} x^{4}\\left(1949840\\theta^4+2047744\\theta^3+3062224\\theta^2+2155304\\theta+617905\\right)-2^{18} x^{5}\\left(3117952\\theta^4+4806720\\theta^3+7335648\\theta^2+5468420\\theta+1717063\\right)+2^{22} x^{6}\\left(7179524\\theta^4+15086448\\theta^3+24112808\\theta^2+19319920\\theta+6533401\\right)-2^{26} x^{7}\\left(12098492\\theta^4+32868584\\theta^3+56087648\\theta^2+48438116\\theta+17467537\\right)+2^{31} x^{8}\\left(7508036\\theta^4+25345280\\theta^3+46719420\\theta^2+43397656\\theta+16591239\\right)-2^{38} x^{9}\\left(856369\\theta^4+3481940\\theta^3+6970670\\theta^2+6938899\\theta+2800514\\right)+2^{42} x^{10}\\left(568775\\theta^4+2715196\\theta^3+5906890\\theta^2+6274274\\theta+2662654\\right)-2^{46} x^{11}\\left(269591\\theta^4+1478382\\theta^3+3484287\\theta^2+3929620\\theta+1745534\\right)+2^{51} x^{12}\\left(44091\\theta^4+272424\\theta^3+691403\\theta^2+822862\\theta+380404\\right)-2^{57} x^{13}\\left(2349\\theta^4+16068\\theta^3+43548\\theta^2+54271\\theta+25924\\right)+2^{63} x^{14}\\left(73\\theta^4+544\\theta^3+1559\\theta^2+2017\\theta+988\\right)-2^{69} x^{15}\\left((\\theta+2)^4\\right)", "superseek": "52/5 13436/5", "discriminant": "15 25 -10480 1964544 -217964544 15973089280 -817352409088 30113106231296 -811916054233088 16123384538595328 -235396918291726336 2501498904353177600 -18970780111600615424 99284105585196269568 -338526576790185443328 673306158690398633984 -590295810358705651712", "aesz": null, "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "2306e85a3af0a97d616dedf03cc93f69", "dim_h": null, "inst": " 52/5 115 13436/5 89632 18465296/5 871619621/5 45240257244/5 503650715312 147905271435016/5 9063969995240684/5", "cleanlist": "True", "n_sing_real": "8", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "8", "laurent": null, "discriminant_tex": "-(-1+32z)(256z^2-48z+1)^2(512z^2-128z+5)^2(64z-1)^3(16z-1)^3", "discr_factors": "-590295810358705651712, (z-1/16)^3, (z^2-1/4*z+5/512)^2, -1/32+z, (z-1/64)^3, (z^2-3/16*z+1/256)^2", "dm_basis": null, "q": "0 1 4 422 23056 1452289 97060696 6773971762 487971107392 36012102833428", "yuk": "1 52/5 4652/5 362824/5 28686892/5 2308162052/5 37654041112 15517408234744/5 1289345859885612/5 107822942876489488/5", "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":"1/64","im":"0","approx_re":"0.015625","approx_im":"0.0","exponents":["0","2","3","5"],"monodromy":[],"monodromy_dm":[]},{"re":"3/32-1/32*5^(1/2)","im":"0","approx_re":"0.023873","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"1/32","im":"0","approx_re":"0.03125","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/8-1/32*6^(1/2)","im":"0","approx_re":"0.048453","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"1/16","im":"0","approx_re":"0.0625","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"3/32+1/32*5^(1/2)","im":"0","approx_re":"0.163627","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"1/8+1/32*6^(1/2)","im":"0","approx_re":"0.201547","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":[]}]}]}