{"count": 2, "status":"OK", "data":[{"pols": "[X^4, 72+648*X+2079*X^2+2862*X^3+2079*X^4, 194400+1492992*X+3633336*X^2+3604176*X^3+1504656*X^4, 20995200+211631616*X+730632960*X^2+967458816*X^3+399328704*X^4, 544195584*(4*X+1)*(2*X+1)^2*(4*X+3)]", "text": "Sporadic Operator.", "degz": 4, "h3": null, "sol": "1 -72 22680 -9424800 4199995800 -1795109988672 621876550879584 -53512702860988800 -199819112547934737000 286500726415890938952000", "n_discr_factors": "2", "c3": null, "operator": "4 4 0 0 0 0 1 72 648 2079 2862 2079 194400 1492992 3633336 3604176 1504656 20995200 211631616 730632960 967458816 399328704 1632586752 15237476352 50065993728 69657034752 34828517376", "new_number": "4.74", "id": 175, "operator_tex": "\\theta^4+3^{2} x\\left(231\\theta^4+318\\theta^3+231\\theta^2+72\\theta+8\\right)+2^{3} 3^{5} x^{2}\\left(774\\theta^4+1854\\theta^3+1869\\theta^2+768\\theta+100\\right)+2^{6} 3^{8} x^{3}\\left(951\\theta^4+2304\\theta^3+1740\\theta^2+504\\theta+50\\right)+2^{10} 3^{12} x^{4}(4\\theta+1)(2\\theta+1)^2(4\\theta+3)", "superseek": "-207 621972", "discriminant": "4 1 2079 1504656 399328704 34828517376", "aesz": "363", "n_sing_complex": "1", "inst_int": "", "c2h": null, "hash": "15f3be0c25c6a6ea1d78414f1cb31713", "dim_h": null, "inst": " -207 5544 621972 -241386048 59946723846 -11102975438472 729574413105222 578068512191684640 -359085841181915842191 128078952652171203999912", "cleanlist": "True", "n_sing_real": "2", "sol_explicit": "", "n_sing_rational": "2", "n_sing": "3", "laurent": null, "discriminant_tex": "(746496z^2+1647z+1)(1+216z)^2", "discr_factors": "34828517376, z^2+61/27648*z+1/746496, (1/216+z)^2", "dm_basis": null, "q": "0 1 360 87156 14045232 2327439474 244965088512 30694301605872 7556208374936160 -1751386443391367145", "yuk": "1 -207 44145 16793037 -15448662927 7493340480543 -2398242677872563 250244023695090939 295971078226693872753 -261773578221616632164202", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/216","im":"0","approx_re":"-0.00462962962963","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"-61/55296","im":"-5/55296*15^(1/2)","approx_re":"-0.00110315393519","approx_im":"-0.00035","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-61/55296","im":"5/55296*15^(1/2)","approx_re":"-0.00110315393519","approx_im":"0.00035","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":"s_1","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"s_2","im":"0","approx_re":"0.0","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":["1/4","1/2","1/2","3/4"],"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":[]}]}]}