{"count": 3, "status":"OK", "data":[{"pols": "[X^4, -472*(X+1/2)^4-446*(X+1/2)^2-15, 83344*(X+1)^4+102060*(X+1)^2+9252, -6524928*(X+3/2)^4-5576448*(X+3/2)^2-69888, 9216*(12*X+19)*(12*X+23)*(12*X+25)*(12*X+29)]", "text": "Sporadic YY-Operator.", "degz": 4, "h3": null, "sol": "1 156 21062 2714208 342489420 42745344432 5302680749912 655600683760704 80913588850087846 9978933506757141000", "n_discr_factors": "2", "c3": null, "operator": "4 4 0 0 0 0 1 -156 -682 -1154 -944 -472 194656 537496 602124 333376 83344 -45649344 -104815872 -93662976 -39149568 -6524928 2919859200 5977276416 4551966720 1528823808 191102976", "new_number": "4.32", "id": 129, "operator_tex": "\\theta^4-2 x\\left(236\\theta^4+472\\theta^3+577\\theta^2+341\\theta+78\\right)+2^{2} x^{2}\\left(20836\\theta^4+83344\\theta^3+150531\\theta^2+134374\\theta+48664\\right)-2^{6} 3 x^{3}\\left(33984\\theta^4+203904\\theta^3+487828\\theta^2+545916\\theta+237757\\right)+2^{10} 3^{2} x^{4}(12\\theta+19)(12\\theta+23)(12\\theta+25)(12\\theta+29)", "superseek": "-14 -196", "discriminant": "4 1 -472 83344 -6524928 191102976", "aesz": "356\n", "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "e73c971c3ed3a4fd581234510642c285", "dim_h": null, "inst": " -14 -42 -196 -1218 -208446/5 -1249164 -31158358 -665413042 -13244743400 -255577395122", "cleanlist": "True", "n_sing_real": "3", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "3", "laurent": null, "discriminant_tex": "(128z-1)^2(108z-1)^2", "discr_factors": "191102976, (z-1/128)^2, (z-1/108)^2", "dm_basis": null, "q": "0 1 -58 2285 -73180 2053050 -53567538 1306009292 -30756537128 694691706071", "yuk": "1 -14 -350 -5306 -78302 -5211164 -269825066 -10687316808 -340691555806 -9655417943906", "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":"1/128","im":"0","approx_re":"0.0078125","approx_im":"0.0","exponents":["0","-1/2","1","3/2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/108","im":"0","approx_re":"0.00925925925926","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":["19/12","23/12","25/12","29/12"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[9*X^4, -816*X^4-1020*X^3-1041*X^2-531*X-108, 31273*X^4+76540*X^3+103783*X^2+71112*X+19728, -656438*X^4-2362320*X^3-3955914*X^2-3240072*X-1044576, 8147996*X^4+38411008*X^3+76088452*X^2+70904768*X+25237632, -136*(X+1)*(439669*X^3+2114103*X^2+3708554*X+2306280), 499392*(X+1)*(X+2)*(481*X^2+1875*X+1962), -407503872*(X+1)*(X+2)^2*(X+3)]", "text": "This is operator \"7.8\" from ...", "degz": 7, "h3": null, "sol": "1 12 156 2136 30348 443232 6612024 100296432 1541950092 23968741296", "n_discr_factors": "6", "c3": null, "operator": "4 7 0 0 0 0 9 -108 -531 -1041 -1020 -816 19728 71112 103783 76540 31273 -1044576 -3240072 -3955914 -2362320 -656438 25237632 70904768 76088452 38411008 8147996 -313654080 -818017424 -791881352 -347312992 -59794984 1959614208 4812141312 4269302208 1656982656 240207552 -4890046464 -11410108416 -9372589056 -3260030976 -407503872", "new_number": "7.8", "id": 451, "operator_tex": "3^{2} \\theta^4-3 x\\left(272\\theta^4+340\\theta^3+347\\theta^2+177\\theta+36\\right)+x^{2}\\left(31273\\theta^4+76540\\theta^3+103783\\theta^2+71112\\theta+19728\\right)-2 x^{3}\\left(328219\\theta^4+1181160\\theta^3+1977957\\theta^2+1620036\\theta+522288\\right)+2^{2} x^{4}\\left(2036999\\theta^4+9602752\\theta^3+19022113\\theta^2+17726192\\theta+6309408\\right)-2^{3} 17 x^{5}(\\theta+1)(439669\\theta^3+2114103\\theta^2+3708554\\theta+2306280)+2^{6} 3^{3} 17^{2} x^{6}(\\theta+1)(\\theta+2)(481\\theta^2+1875\\theta+1962)-2^{10} 3^{4} 17^{3} x^{7}(\\theta+1)(\\theta+2)^2(\\theta+3)", "superseek": "-1/3 -5/3", "discriminant": "7 9 -816 31273 -656438 8147996 -59794984 240207552 -407503872", "aesz": null, "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "d5b8cfd5049e5d8670dac5bb5499d46a", "dim_h": null, "inst": " -1/3 11/12 -5/3 19/3 -29 1691/12 -702 11624/3 -67528/3 544423/4", "cleanlist": "True", "n_sing_real": "7", "sol_explicit": "", "n_sing_rational": "7", "n_sing": "7", "laurent": null, "discriminant_tex": "-(17z-1)(9z-1)(8z-1)(18z-1)(16z-1)(-3+34z)^2", "discr_factors": "-407503872, z-1/18, z-1/8, z-1/9, (-3/34+z)^2, z-1/17, z-1/16", "dm_basis": null, "q": "0 1 -11 106 -981 8906 -79826 709113 -6259755 55003180", "yuk": "1 -1/3 7 -136/3 1237/3 -10876/3 30400 -722359/3 5952725/3 -49228048/3", "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":"1/18","im":"0","approx_re":"0.0555555555556","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/17","im":"0","approx_re":"0.0588235294118","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/16","im":"0","approx_re":"0.0625","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"3/34","im":"0","approx_re":"0.0882352941176","approx_im":"0.0","exponents":["0","1","3","4"],"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":"1/8","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","2","3"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[1225*X^4, -7350-51450*X-141225*X^2-179550*X^3-88725*X^4, -247800-944300*X-1429790*X^2-1012540*X^3-290680*X^4, -698040-2128350*X-2505165*X^2-1430250*X^3-361135*X^4, -1362600-5368940*X-6845926*X^2-1558804*X^3+573496*X^4, -7490076-19892278*X-15897011*X^2+984006*X^3+2224575*X^4, -10379376-21193956*X-10487858*X^2+3075756*X^3+2219246*X^4, -6481008-15183836*X-6972508*X^2+7310984*X^3-949784*X^4, -6251184-8696232*X+5388408*X^2+11708496*X^3-4200768*X^4, 2020752+11790432*X+16683948*X^2+5755464*X^3-2798676*X^4, 3729888+9670752*X+8492472*X^2+2639952*X^3+155736*X^4, -864*(X+1)*(657*X^3+1363*X^2+689*X-222), -11232*(X+2)*(X+1)*(115*X^2+339*X+270), -292032*(X+1)*(X+2)^2*(X+3)]", "text": "This is operator \"13.17\" from ...", "degz": 13, "h3": null, "sol": "1 6 156 5796 259296 12934296 693043356 39060776376 2285942985936 137729018824416", "n_discr_factors": null, "c3": null, "operator": "4 13 0 0 0 0 1225 -7350 -51450 -141225 -179550 -88725 -247800 -944300 -1429790 -1012540 -290680 -698040 -2128350 -2505165 -1430250 -361135 -1362600 -5368940 -6845926 -1558804 573496 -7490076 -19892278 -15897011 984006 2224575 -10379376 -21193956 -10487858 3075756 2219246 -6481008 -15183836 -6972508 7310984 -949784 -6251184 -8696232 5388408 11708496 -4200768 2020752 11790432 16683948 5755464 -2798676 3729888 9670752 8492472 2639952 155736 191808 -403488 -1772928 -1745280 -567648 -6065280 -16713216 -17038944 -7682688 -1291680 -3504384 -8176896 -6716736 -2336256 -292032", "new_number": "13.17", "id": 558, "operator_tex": "5^{2} 7^{2} \\theta^4-3 5^{2} 7 x\\left(169\\theta^4+342\\theta^3+269\\theta^2+98\\theta+14\\right)-2 5 x^{2}\\left(29068\\theta^4+101254\\theta^3+142979\\theta^2+94430\\theta+24780\\right)-5 x^{3}\\left(72227\\theta^4+286050\\theta^3+501033\\theta^2+425670\\theta+139608\\right)+2 x^{4}\\left(286748\\theta^4-779402\\theta^3-3422963\\theta^2-2684470\\theta-681300\\right)-x^{5}\\left(7490076+19892278\\theta+15897011\\theta^2-984006\\theta^3-2224575\\theta^4\\right)+2 x^{6}\\left(1109623\\theta^4+1537878\\theta^3-5243929\\theta^2-10596978\\theta-5189688\\right)-2^{2} x^{7}\\left(237446\\theta^4-1827746\\theta^3+1743127\\theta^2+3795959\\theta+1620252\\right)-2^{3} 3^{2} x^{8}\\left(58344\\theta^4-162618\\theta^3-74839\\theta^2+120781\\theta+86822\\right)-2^{2} 3^{2} x^{9}\\left(77741\\theta^4-159874\\theta^3-463443\\theta^2-327512\\theta-56132\\right)+2^{3} 3^{3} x^{10}\\left(721\\theta^4+12222\\theta^3+39317\\theta^2+44772\\theta+17268\\right)-2^{5} 3^{3} x^{11}(\\theta+1)(657\\theta^3+1363\\theta^2+689\\theta-222)-2^{5} 3^{3} 13 x^{12}(\\theta+2)(\\theta+1)(115\\theta^2+339\\theta+270)-2^{6} 3^{3} 13^{2} x^{13}(\\theta+1)(\\theta+2)^2(\\theta+3)", "superseek": "51/7 4071/7", "discriminant": null, "aesz": null, "n_sing_complex": null, "inst_int": null, "c2h": null, "hash": "1eb2bb810b4c7f191a26886aee350e18", "dim_h": null, "inst": " 51/7 1552/35 4071/7 378248/35 1721920/7 223809048/35 182271582 194623757576/35 6254523809013/35 41886987515942/7", "cleanlist": "True", "n_sing_real": null, "sol_explicit": null, "n_sing_rational": null, "n_sing": null, "laurent": null, "discriminant_tex": null, "discr_factors": null, "dm_basis": null, "q": "0 1 -18 52 -490 -15970 -423102 -13887327 -472801828 -16777481291", "yuk": "1 51/7 12671/35 109968/7 24220543/35 215240051/7 48343316624/35 437634068433/7 2847068231413 4559547857320317/35", "gv2": null, "gv0": null, "gv1": null}]}