{"count": 2, "status":"OK", "data":[{"pols": "[X^4, 24+148*X+344*X^2+392*X^3+196*X^4, 16128+73536*X+112672*X^2+75904*X^3+18976*X^4, 2903040+11114496*X+12883968*X^2+6119424*X^3+1019904*X^4, 206438400+698941440*X+656031744*X^2+240648192*X^3+30081024*X^4, 7077888*(16*X^2+80*X+35)*(2*X+5)^2, 169869312*(2*X+11)*(2*X+7)*(2*X+5)*(2*X+1)]", "text": "This is operator \"6.39\" from ...", "degz": 6, "h3": null, "sol": "1 -24 648 -11520 -123480 18518976 -428085504 -33637773312 3723542994600 -153199327469760", "n_discr_factors": "3", "c3": null, "operator": "4 6 0 0 0 0 1 24 148 344 392 196 16128 73536 112672 75904 18976 2903040 11114496 12883968 6119424 1019904 206438400 698941440 656031744 240648192 30081024 6193152000 19110297600 15146680320 4529848320 452984832 65399685120 187535720448 129100677120 32614907904 2717908992", "new_number": "6.39", "id": 417, "operator_tex": "\\theta^4+2^{2} x\\left(49\\theta^4+98\\theta^3+86\\theta^2+37\\theta+6\\right)+2^{5} x^{2}\\left(593\\theta^4+2372\\theta^3+3521\\theta^2+2298\\theta+504\\right)+2^{10} 3 x^{3}\\left(332\\theta^4+1992\\theta^3+4194\\theta^2+3618\\theta+945\\right)+2^{14} 3^{2} x^{4}\\left(204\\theta^4+1632\\theta^3+4449\\theta^2+4740\\theta+1400\\right)+2^{18} 3^{3} x^{5}(16\\theta^2+80\\theta+35)(2\\theta+5)^2+2^{21} 3^{4} x^{6}(2\\theta+11)(2\\theta+7)(2\\theta+5)(2\\theta+1)", "superseek": "8 3784/3", "discriminant": "6 1 196 18976 1019904 30081024 452984832 2717908992", "aesz": null, "n_sing_complex": "2", "inst_int": "", "c2h": null, "hash": "6429f42cbe18bee944ac13edab1fbbcc", "dim_h": null, "inst": " 8 39/2 3784/3 51036 1659840 366636055/6 2809215000 282209084769/2 7219805436704 381151634610380", "cleanlist": "True", "n_sing_real": "4", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "6", "laurent": null, "discriminant_tex": "(24z+1)(110592z^3+6912z^2+108z+1)(1+32z)^2", "discr_factors": "2717908992, z+1/24, (1/32+z)^2, z^3+1/16*z^2+1/1024*z+1/110592", "dm_basis": null, "q": "0 1 52 3414 230768 15921533 1119191448 79735039930 5734644233920 415434644622486", "yuk": "1 8 164 34064 3266468 207480008 13198932200 963560745008 72245528967332 5263238163391280", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/96*(3+2*2^(1/2))^(1/3)-1/96/(3+2*2^(1/2))^(1/3)-1/48","im":"0","approx_re":"-0.045368","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":"-1/32","im":"0","approx_re":"-0.03125","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"1/192*(3+2*2^(1/2))^(1/3)+1/192/(3+2*2^(1/2))^(1/3)-1/48","im":"1/24*3^(1/2)*(-1/8*(3+2*2^(1/2))^(1/3)+1/8/(3+2*2^(1/2))^(1/3))","approx_re":"-0.008566","approx_im":"-0.011222","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/192*(3+2*2^(1/2))^(1/3)+1/192/(3+2*2^(1/2))^(1/3)-1/48","im":"-1/24*3^(1/2)*(-1/8*(3+2*2^(1/2))^(1/3)+1/8/(3+2*2^(1/2))^(1/3))","approx_re":"-0.008566","approx_im":"0.011222","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","5/2","7/2","11/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -8-52*X-120*X^2-136*X^3+92*X^4, 3712+16576*X+18464*X^2+3456*X^3+5664*X^4, -45056+142336*X+1206272*X^2+983040*X^3+363520*X^4, 3375104+16023552*X+32669696*X^2+40239104*X^3+14778368*X^4, 87031808+429916160*X+803209216*X^2+754974720*X^3+298844160*X^4, 67108864*(2*X+1)*(20*X^3+50*X^2+49*X+17), 2147483648*(2*X+1)*(X+1)^2*(2*X+3)]", "text": "This is operator \"7.11\" from ...", "degz": 7, "h3": null, "sol": "1 8 -120 -4480 55720 6487488 9993984 -11087831040 -202076348760 19021745737280", "n_discr_factors": "3", "c3": null, "operator": "4 7 0 0 0 0 1 -8 -52 -120 -136 92 3712 16576 18464 3456 5664 -45056 142336 1206272 983040 363520 3375104 16023552 32669696 40239104 14778368 87031808 429916160 803209216 754974720 298844160 1140850688 5570035712 9932111872 8053063680 2684354560 6442450944 30064771072 49392123904 34359738368 8589934592", "new_number": "7.11", "id": 433, "operator_tex": "\\theta^4+2^{2} x\\left(23\\theta^4-34\\theta^3-30\\theta^2-13\\theta-2\\right)+2^{5} x^{2}\\left(177\\theta^4+108\\theta^3+577\\theta^2+518\\theta+116\\right)+2^{10} x^{3}\\left(355\\theta^4+960\\theta^3+1178\\theta^2+139\\theta-44\\right)+2^{15} x^{4}\\left(451\\theta^4+1228\\theta^3+997\\theta^2+489\\theta+103\\right)+2^{20} x^{5}\\left(285\\theta^4+720\\theta^3+766\\theta^2+410\\theta+83\\right)+2^{26} x^{6}(2\\theta+1)(20\\theta^3+50\\theta^2+49\\theta+17)+2^{31} x^{7}(2\\theta+1)(\\theta+1)^2(2\\theta+3)", "superseek": "-8 -3784/3", "discriminant": "7 1 92 5664 363520 14778368 298844160 2684354560 8589934592", "aesz": null, "n_sing_complex": "2", "inst_int": "", "c2h": null, "hash": "cb1bf6566f9c1a0dbfe98fb55f81944c", "dim_h": null, "inst": " -8 43/2 -3784/3 51036 -1659840 122212649/2 -2809215000 282209084769/2 -7219805436704 381151635025340", "cleanlist": "True", "n_sing_real": "4", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "6", "laurent": null, "discriminant_tex": "(8z+1)(32768z^3+3072z^2-12z+1)(32z+1)^3", "discr_factors": "8589934592, z+1/8, (z+1/32)^3, z^3+3/32*z^2-3/8192*z+1/32768", "dm_basis": null, "q": "0 1 -20 1110 -52720 2817917 -162846168 9874607290 -617177477312 39500894102166", "yuk": "1 -8 164 -34064 3266468 -207480008 13198932200 -963560745008 72245528967332 -5263238163391280", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/8","im":"0","approx_re":"-0.125","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-3/128*(4+2*2^(1/2))^(1/3)-3/64/(4+2*2^(1/2))^(1/3)-1/32","im":"0","approx_re":"-0.100423","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/32","im":"0","approx_re":"-0.03125","approx_im":"0.0","exponents":["0","2","3","5"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"3/256*(4+2*2^(1/2))^(1/3)+3/128/(4+2*2^(1/2))^(1/3)-1/32","im":"1/8*3^(1/2)*(-3/32*(4+2*2^(1/2))^(1/3)+3/16/(4+2*2^(1/2))^(1/3))","approx_re":"0.003336","approx_im":"-0.01711","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"3/256*(4+2*2^(1/2))^(1/3)+3/128/(4+2*2^(1/2))^(1/3)-1/32","im":"-1/8*3^(1/2)*(-3/32*(4+2*2^(1/2))^(1/3)+3/16/(4+2*2^(1/2))^(1/3))","approx_re":"0.003336","approx_im":"0.01711","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":[]}]}]}