{"count": 4, "status":"OK", "data":[{"pols": "[X^4, 704*X^4+1408*X^3+1156*X^2+452*X+72, 110592+528384*X+919552*X^2+655360*X^3+163840*X^4, 196608*(2*X+5)*(2*X+1)*(4*X+3)*(4*X+9)]", "text": "This is operator \"3.3\" from ...", "degz": 3, "h3": null, "sol": "1 -72 10152 -1739520 327839400 -65426139072 13570541639424 -2894582249754624 630699147970954920 -139752218040620328000", "n_discr_factors": "2", "c3": null, "operator": "4 3 0 0 0 0 1 72 452 1156 1408 704 110592 528384 919552 655360 163840 26542080 110886912 150208512 75497472 12582912", "new_number": "3.3", "id": 98, "operator_tex": "\\theta^4+2^{2} x\\left(176\\theta^4+352\\theta^3+289\\theta^2+113\\theta+18\\right)+2^{11} x^{2}\\left(80\\theta^4+320\\theta^3+449\\theta^2+258\\theta+54\\right)+2^{16} 3 x^{3}(2\\theta+5)(2\\theta+1)(4\\theta+3)(4\\theta+9)", "superseek": "-68 -18628/3", "discriminant": "3 1 704 163840 12582912", "aesz": "228", "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "b15f49e2c20021dbc50eaf05a6fd3126", "dim_h": null, "inst": " -68 -835 -18628/3 359052 23710944 780298527 6002824980 -1205741266836 -101816115056048 -4774210021942744", "cleanlist": "True", "n_sing_real": "3", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "3", "laurent": null, "discriminant_tex": "(192z+1)(1+256z)^2", "discr_factors": "12582912, (1/256+z)^2, z+1/192", "dm_basis": null, "q": "0 1 164 22494 2779984 319566125 34816835832 3640068113170 368335750627904 36296801883552006", "yuk": "1 -68 -6748 -167720 22972580 2963867932 168544307432 2058968968072 -617339505647452 -74223947876026712", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/192","im":"0","approx_re":"-0.00520833333333","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/256","im":"0","approx_re":"-0.00390625","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":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1/2","3/4","9/4","5/2"],"monodromy":[],"monodromy_dm":[]}]}, {"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":[]}]}, {"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":[]}]}]}