{"count": 2, "status":"OK", "data":[{"pols": "[X^4, -88*X^3+4-71*X^4-42*X^2+2*X, -10462*X-13294*X^2-875*X^4-6848*X^3-3132, 3357*X^4-208620-403812*X-276444*X^2-57240*X^3, 679104*X^3-1214676*X-1229580+262116*X^2+149283*X^4, 22661694*X^2+492075*X^4+7820712+23317794*X+8345592*X^3, -4782969*X^4+73338858*X^2+162620946*X+103453848, -43046721*(X+2)^4]", "text": "This is operator \"7.20\" from ...", "degz": 7, "h3": null, "sol": "1 -4 147 4496 223111 12256428 709357485 43160215488 2720187059895 176274536441396", "n_discr_factors": "3", "c3": null, "operator": "4 7 0 0 0 0 1 4 2 -42 -88 -71 -3132 -10462 -13294 -6848 -875 -208620 -403812 -276444 -57240 3357 -1229580 -1214676 262116 679104 149283 7820712 23317794 22661694 8345592 492075 103453848 162620946 73338858 0 -4782969 -688747536 -1377495072 -1033121304 -344373768 -43046721", "new_number": "7.20", "id": 443, "operator_tex": "\\theta^4-x\\left(88\\theta^3-4+71\\theta^4+42\\theta^2-2\\theta\\right)-x^{2}\\left(10462\\theta+13294\\theta^2+875\\theta^4+6848\\theta^3+3132\\right)+3^{2} x^{3}\\left(373\\theta^4-6360\\theta^3-30716\\theta^2-44868\\theta-23180\\right)+3^{4} x^{4}\\left(1843\\theta^4+8384\\theta^3+3236\\theta^2-14996\\theta-15180\\right)+3^{8} x^{5}\\left(75\\theta^4+1272\\theta^3+3454\\theta^2+3554\\theta+1192\\right)-3^{11} x^{6}\\left(27\\theta^4-414\\theta^2-918\\theta-584\\right)-3^{16} x^{7}\\left((\\theta+2)^4\\right)", "superseek": "10 3394/3", "discriminant": "7 1 -71 -875 3357 149283 492075 -4782969 -43046721", "aesz": null, "n_sing_complex": "2", "inst_int": "", "c2h": null, "hash": "9d5791eaabb9d0e9cb4b5cd0b2158b12", "dim_h": null, "inst": " 10 77 3394/3 24029 640402 58912007/3 659800738 23733455789 2698636083688/3 35532268316211", "cleanlist": "True", "n_sing_real": "3", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "5", "laurent": null, "discriminant_tex": "-(-1+81z)(9z-1)^2(81z^2+14z+1)^2", "discr_factors": "-43046721, -1/81+z, (z-1/9)^2, (z^2+14/81*z+1/81)^2", "dm_basis": null, "q": "0 1 -14 -135 -458 -22038 -1292652 -48153487 -1891905026 -78912224514", "yuk": "1 10 626 30556 1538482 80050260 4241695676 226311653144 12151530902450 655768568366740", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-7/81","im":"-4/81*2^(1/2)","approx_re":"-0.0864197530864","approx_im":"-0.069838","exponents":["0","-1/2","1","3/2"],"monodromy":[],"monodromy_dm":[]},{"re":"-7/81","im":"4/81*2^(1/2)","approx_re":"-0.0864197530864","approx_im":"0.069838","exponents":["0","-1/2","1","3/2"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"1/81","im":"0","approx_re":"0.0123456790123","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/9","im":"0","approx_re":"0.111111111111","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":["2","2","2","2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -57*X^4-116*X^3-84*X^2-26*X-3, -1788*X^4-6416*X^3-9142*X^2-5542*X-1302, -14644*X^4-112736*X^3-249566*X^2-202198*X-59514, 125406*X^4-487440*X^3-2519838*X^2-2493126*X-815346, 2853954*X^4+7949016*X^3-5063310*X^2-12942666*X-5601636, 14198004*X^4+109699920*X^3+104542974*X^2+18882558*X-10143306, -70150212*X^4+306110016*X^3+547384230*X^2+322053246*X+54915570, -990074583*X^4-2066242608*X^3-1807962282*X^2-774840978*X-143489070, -3486784401*(X+1)^4]", "text": "This is operator \"9.3\" from ...", "degz": 9, "h3": null, "sol": "1 3 135 5349 258039 13868253 798329169 48299457195 3032418099447 195934418454837", "n_discr_factors": "3", "c3": null, "operator": "4 9 0 0 0 0 1 -3 -26 -84 -116 -57 -1302 -5542 -9142 -6416 -1788 -59514 -202198 -249566 -112736 -14644 -815346 -2493126 -2519838 -487440 125406 -5601636 -12942666 -5063310 7949016 2853954 -10143306 18882558 104542974 109699920 14198004 54915570 322053246 547384230 306110016 -70150212 -143489070 -774840978 -1807962282 -2066242608 -990074583 -3486784401 -13947137604 -20920706406 -13947137604 -3486784401", "new_number": "9.3", "id": 542, "operator_tex": "\\theta^4-x\\left(57\\theta^4+116\\theta^3+84\\theta^2+26\\theta+3\\right)-2 x^{2}\\left(894\\theta^4+3208\\theta^3+4571\\theta^2+2771\\theta+651\\right)-2 x^{3}\\left(7322\\theta^4+56368\\theta^3+124783\\theta^2+101099\\theta+29757\\right)+2 3^{2} x^{4}\\left(6967\\theta^4-27080\\theta^3-139991\\theta^2-138507\\theta-45297\\right)+2 3^{4} x^{5}\\left(17617\\theta^4+49068\\theta^3-31255\\theta^2-79893\\theta-34578\\right)+2 3^{8} x^{6}\\left(1082\\theta^4+8360\\theta^3+7967\\theta^2+1439\\theta-773\\right)-2 3^{11} x^{7}\\left(198\\theta^4-864\\theta^3-1545\\theta^2-909\\theta-155\\right)-3^{15} x^{8}\\left(69\\theta^4+144\\theta^3+126\\theta^2+54\\theta+10\\right)-3^{20} x^{9}\\left((\\theta+1)^4\\right)", "superseek": "10 3394/3", "discriminant": "9 1 -57 -1788 -14644 125406 2853954 14198004 -70150212 -990074583 -3486784401", "aesz": null, "n_sing_complex": "2", "inst_int": "", "c2h": null, "hash": "40e3715abcc5c4cb07e700ca79f80abf", "dim_h": null, "inst": " 10 77 3394/3 24029 640402 58912007/3 659800738 23733455789 2698636083688/3 35532268316211", "cleanlist": "True", "n_sing_real": "3", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "5", "laurent": null, "discriminant_tex": "-(-1+81z)(-1+9z)^2(81z^2+14z+1)^3", "discr_factors": "-3486784401, -1/81+z, (-1/9+z)^2, (z^2+14/81*z+1/81)^3", "dm_basis": null, "q": "0 1 -14 -135 -458 -22038 -1292652 -48153487 -1891905026 -78912224514", "yuk": "1 10 626 30556 1538482 80050260 4241695676 226311653144 12151530902450 655768568366740", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-7/81","im":"-4/81*2^(1/2)","approx_re":"-0.0864197530864","approx_im":"-0.069838","exponents":["0","1/2","3/2","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-7/81","im":"4/81*2^(1/2)","approx_re":"-0.0864197530864","approx_im":"0.069838","exponents":["0","1/2","3/2","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":"1/81","im":"0","approx_re":"0.0123456790123","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/9","im":"0","approx_re":"0.111111111111","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","1","1","1"],"monodromy":[],"monodromy_dm":[]}]}]}