{"count": 2, "status":"OK", "data":[{"pols": "[X^4, -3456*X^4-6912*X^3-8184*X^2-4728*X-1044, 144*(12*X+11)^2*(12*X+13)^2]", "text": "Operator equivalent to $\\hat{5}$", "degz": 2, "h3": null, "sol": "1 1044 1403100 2051002800 3126485684700 4887212870620080 7768487563666517520 12496882936840430356800 20284188614096186012967900 33154202899295778036714519600", "n_discr_factors": "1", "c3": null, "operator": "4 2 0 0 0 0 1 -1044 -4728 -8184 -6912 -3456 2944656 11860992 17874432 11943936 2985984", "new_number": "2.42", "id": 36, "operator_tex": "\\theta^4-2^{2} 3 x\\left(288\\theta^4+576\\theta^3+682\\theta^2+394\\theta+87\\right)+2^{4} 3^{2} x^{2}(12\\theta+11)^2(12\\theta+13)^2", "superseek": "-288 -2339616", "discriminant": "2 1 -3456 2985984", "aesz": "~98", "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "acfee9d4b5fefd1a945cfa6b1bc61373", "dim_h": null, "inst": " -288 -19260 -2339616 -369882612 -67925445408 -13734698150652 -2970077356698912 -674863643068399476 -159284190765874022688 -38744013465690133817340", "cleanlist": "True", "n_sing_real": "2", "sol_explicit": "", "n_sing_rational": "2", "n_sing": "2", "laurent": null, "discriminant_tex": "(1728z-1)^2", "discr_factors": "2985984, (z-1/1728)^2", "dm_basis": ["cy[DM_basis]"], "q": "0 1 -552 110124 -11982784 856080078 -51663236832 1031263062200 -385043380763136 -82129565005671195", "yuk": "1 -288 -154368 -63169920 -23672641536 -8490680676288 -2966694863864832 -1018736533347727104 -345530185274693173248 -116118175068322225709472", "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":["1","-1","1/2","-1/6","0","1","-1","1/2","0","0","1","-1","0","0","0","1"],"monodromy_dm":["cy[T_DM][1]"]},{"re":"1/1728","im":"0","approx_re":"0.000578703703704","approx_im":"0.0","exponents":["0","-1/2","1","3/2"],"monodromy":["1/2*3^(1/2)","-.470039198*I","1/24*3^(1/2)","0","0","-1/2*3^(1/2)","0","1/24*3^(1/2)","2*3^(1/2)","0","-1/2*3^(1/2)",".470039198*I","0","2*3^(1/2)","0","1/2*3^(1/2)"],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["11/12","11/12","13/12","13/12"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -55*X^4-142*X^3-112*X^2-41*X-6, 456*X^4+4668*X^3+7455*X^2+3958*X+696, 35078*X^4+127188*X^3+175671*X^2+133507*X+41718, 82753*X^4+664768*X^3+2450839*X^2+2316756*X+736812, -2655315*X^4-4028814*X^3+2649993*X^2+8119728*X+4050684, -6219018*X^4-60015708*X^3-89450730*X^2-53365392*X-11353464, -175541148*X^2-256801536*X+49673412*X^4+29231928*X^3-103999248, 1325353104*X+906483312*X^3+407584224+1655573904*X^2+145904976*X^4, -132584688*X^4+131663232*X^3+1842270480*X^2+2895494688*X+1361857536, -23328*(X+1)*(20847*X^3+146325*X^2+303230*X+217616), 139968*(X+1)*(X+2)*(1791*X^2-1173*X-14800), 10077696*(X+3)*(X+2)*(X+1)*(52*X+257), -342641664*(X+1)*(X+2)*(X+3)*(X+4)]", "text": "This is operator \"13.8\" from ...", "degz": 13, "h3": null, "sol": "1 6 90 1044 -5670 -1072764 -51455844 -1769263560 -45316195686 -614757875220", "n_discr_factors": "6", "c3": null, "operator": "4 13 0 0 0 0 1 -6 -41 -112 -142 -55 696 3958 7455 4668 456 41718 133507 175671 127188 35078 736812 2316756 2450839 664768 82753 4050684 8119728 2649993 -4028814 -2655315 -11353464 -53365392 -89450730 -60015708 -6219018 -103999248 -256801536 -175541148 29231928 49673412 407584224 1325353104 1655573904 906483312 145904976 1361857536 2895494688 1842270480 131663232 -132584688 -5076546048 -12150295488 -10487219040 -3899788416 -486318816 -4143052800 -6542944128 -2062708416 587865600 250682688 15539807232 31633887744 21304249344 5734209024 524040192 -8223399936 -17132083200 -11992458240 -3426416640 -342641664", "new_number": "13.8", "id": 376, "operator_tex": "\\theta^4-x\\left(55\\theta^4+142\\theta^3+112\\theta^2+41\\theta+6\\right)+x^{2}\\left(456\\theta^4+4668\\theta^3+7455\\theta^2+3958\\theta+696\\right)+x^{3}\\left(35078\\theta^4+127188\\theta^3+175671\\theta^2+133507\\theta+41718\\right)+x^{4}\\left(82753\\theta^4+664768\\theta^3+2450839\\theta^2+2316756\\theta+736812\\right)-3 x^{5}\\left(885105\\theta^4+1342938\\theta^3-883331\\theta^2-2706576\\theta-1350228\\right)-2 3^{2} x^{6}\\left(345501\\theta^4+3334206\\theta^3+4969485\\theta^2+2964744\\theta+630748\\right)+2^{2} 3^{3} x^{7}\\left(459939\\theta^4+270666\\theta^3-1625381\\theta^2-2377792\\theta-962956\\right)+2^{4} 3^{4} x^{8}\\left(112581\\theta^4+699447\\theta^3+1277449\\theta^2+1022649\\theta+314494\\right)-2^{4} 3^{5} x^{9}\\left(34101\\theta^4-33864\\theta^3-473835\\theta^2-744726\\theta-350272\\right)-2^{5} 3^{6} x^{10}(\\theta+1)(20847\\theta^3+146325\\theta^2+303230\\theta+217616)+2^{6} 3^{7} x^{11}(\\theta+1)(\\theta+2)(1791\\theta^2-1173\\theta-14800)+2^{9} 3^{9} x^{12}(\\theta+3)(\\theta+2)(\\theta+1)(52\\theta+257)-2^{10} 3^{9} 17 x^{13}(\\theta+1)(\\theta+2)(\\theta+3)(\\theta+4)", "superseek": "8 -830/9", "discriminant": "13 1 -55 456 35078 82753 -2655315 -6219018 49673412 145904976 -132584688 -486318816 250682688 524040192 -342641664", "aesz": null, "n_sing_complex": "2", "inst_int": "", "c2h": null, "hash": "bcea3fff557004b4da26e9aa34caac6c", "dim_h": null, "inst": " 8 -45/2 -830/9 -5301/2 2790 787217/6 7180248 115903851/2 -289645460/3 -32500367598", "cleanlist": "True", "n_sing_real": "7", "sol_explicit": "", "n_sing_rational": "6", "n_sing": "9", "laurent": null, "discriminant_tex": "-(2z+1)(3672z^3+1728z^2-72z+1)(6z-1)^2(12z+1)^2(3z+1)^2(z-1)^3", "discr_factors": "-342641664, (z-1/6)^2, (z-1)^3, z^3+8/17*z^2-1/51*z+1/3672, (z+1/12)^2, (z+1/3)^2, z+1/2", "dm_basis": null, "q": "0 1 -17 243 -1855 16442 -120123 -129899 -24681317 160305642", "yuk": "1 8 -172 -2482 -169804 348758 28337150 2462825072 29671216052 -70383849262", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-3/34*3^(2/3)-2/17*3^(1/3)-8/51","im":"0","approx_re":"-0.510076","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","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/3","im":"0","approx_re":"-0.333333333333","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/12","im":"0","approx_re":"-0.0833333333333","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"3/68*3^(2/3)+1/17*3^(1/3)-8/51","im":"1/12*3^(1/2)*(-9/17*3^(2/3)+12/17*3^(1/3))","approx_re":"0.019744","approx_im":"-0.012003","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"3/68*3^(2/3)+1/17*3^(1/3)-8/51","im":"-1/12*3^(1/2)*(-9/17*3^(2/3)+12/17*3^(1/3))","approx_re":"0.019744","approx_im":"0.012003","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/6","im":"0","approx_re":"0.166666666667","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","1/2","3/2","2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1","2","3","4"],"monodromy":[],"monodromy_dm":[]}]}]}