{"count": 2, "status":"OK", "data":[{"pols": "[4826809*X^4, -269930011*X-513126926*X^4-783056937*X^2-1026253852*X^3-35644128, -12505548094*X-2991564823*X^4-18219033339*X^2-3339580608-11966259292*X^3, -85687033692*X^2-80033273892*X-27654517800-6556586192*X^4-39339517152*X^3, -73082257248-6822181184*X^4-178715601792*X-153833799392*X^2-54577449472*X^3, -4892160*(X+4)*(X+1)*(688*X^2+3440*X+3823), -632217600*(X+5)*(X+4)*(X+2)*(X+1)]", "text": "This is operator \"6.41\" from ...", "degz": 6, "h3": null, "sol": "1 96/13 49776/169 35502696/2197 30531314880/28561 29286081308736/371293 30182545572405576/4826809 32725334427012691056/62748517 36847180059107104722816/815730721 42716293180826204294438400/10604499373", "n_discr_factors": "3", "c3": null, "operator": "4 6 0 0 0 0 4826809 -35644128 -269930011 -783056937 -1026253852 -513126926 -3339580608 -12505548094 -18219033339 -11966259292 -2991564823 -27654517800 -80033273892 -85687033692 -39339517152 -6556586192 -73082257248 -178715601792 -153833799392 -54577449472 -6822181184 -74810910720 -160829760000 -116311104000 -33658060800 -3365806080 -25288704000 -49312972800 -30978662400 -7586611200 -632217600", "new_number": "6.41", "id": 413, "operator_tex": "13^{6} \\theta^4-13^{5} x\\left(1382\\theta^4+2764\\theta^3+2109\\theta^2+727\\theta+96\\right)-13^{4} x^{2}\\left(104743\\theta^4+418972\\theta^3+637899\\theta^2+437854\\theta+116928\\right)-2^{2} 13^{3} x^{3}\\left(746084\\theta^4+4476504\\theta^3+9750459\\theta^2+9107109\\theta+3146850\\right)-2^{5} 7 13^{2} x^{4}\\left(180214\\theta^4+1441712\\theta^3+4063657\\theta^2+4720932\\theta+1930533\\right)-2^{9} 3 5 7^{2} 13 x^{5}(\\theta+4)(\\theta+1)(688\\theta^2+3440\\theta+3823)-2^{13} 3^{2} 5^{2} 7^{3} x^{6}(\\theta+5)(\\theta+4)(\\theta+2)(\\theta+1)", "superseek": "161/13 26946/13", "discriminant": "6 4826809 -513126926 -2991564823 -6556586192 -6822181184 -3365806080 -632217600", "aesz": null, "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "a18253e410f284ecdac465808ec8a6e1", "dim_h": null, "inst": " 161/13 1406/13 26946/13 742982/13 25168759/13 973987380/13 41351330207/13 144558468058 89974410402897/13 4488834942620690/13", "cleanlist": "True", "n_sing_real": "5", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "5", "laurent": null, "discriminant_tex": "-(-169+18720z+22400z^2)(8z+13)^2(21z+13)^2", "discr_factors": "-632217600, (z+13/21)^2, -169/22400+117/140*z+z^2, (z+13/8)^2", "dm_basis": null, "q": "0 1 -343/13 17263/169 -2993791/2197 -2351424308/28561 -1164242338225/371293 -737964249150038/4826809 -488157663917379919/62748517 -335432257074176958656/815730721", "yuk": "1 161/13 11409/13 727703/13 47562257/13 3146095036/13 210382013031/13 14183506261162/13 962181210956305/13 65591345184439616/13", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-13/8","im":"0","approx_re":"-1.625","approx_im":"0.0","exponents":["0","0","1","1"],"monodromy":[],"monodromy_dm":[]},{"re":"-117/280-169/560*2^(1/2)","im":"0","approx_re":"-0.844647","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-13/21","im":"0","approx_re":"-0.619047619048","approx_im":"0.0","exponents":["0","0","1","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":"-117/280+169/560*2^(1/2)","im":"0","approx_re":"0.008932","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","4","5"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[169*X^4, -13*X*(614*X^3+1804*X^2+1149*X+247), -775399*X^4-2692636*X^3-3693483*X^2-2450110*X-648960, -21633680*X^4-98465952*X^3-180653148*X^2-155183652*X-51353640, -312436544*X^4-1772359168*X^3-3939130976*X^2-3970125312*X-1491218016, -1536*(X+1)*(1717504*X^3+9940776*X^2+20063523*X+13933966), -73728*(X+1)*(X+2)*(178975*X^2+874119*X+1112486), -42467328*(X+3)*(X+2)*(X+1)*(857*X+2533), -42807066624*(X+1)*(X+2)*(X+3)*(X+4)]", "text": "This is operator \"8.73\" from ...", "degz": 8, "h3": null, "sol": "1 0 240 10440 679104 47119680 3514890120 275107961520 22333393031040 1865147940472320", "n_discr_factors": "4", "c3": null, "operator": "4 8 0 0 0 0 169 0 -3211 -14937 -23452 -7982 -648960 -2450110 -3693483 -2692636 -775399 -51353640 -155183652 -180653148 -98465952 -21633680 -1491218016 -3970125312 -3939130976 -1772359168 -312436544 -21402571776 -52220143104 -46086603264 -17907118080 -2638086144 -164042735616 -374958194688 -301753442304 -104033452032 -13195468800 -645418450944 -1401634160640 -1045757952000 -325936742400 -36394500096 -1027369598976 -2140353331200 -1498247331840 -428070666240 -42807066624", "new_number": "8.73", "id": 522, "operator_tex": "13^{2} \\theta^4-13 x\\theta(614\\theta^3+1804\\theta^2+1149\\theta+247)-x^{2}\\left(775399\\theta^4+2692636\\theta^3+3693483\\theta^2+2450110\\theta+648960\\right)-2^{2} x^{3}\\left(5408420\\theta^4+24616488\\theta^3+45163287\\theta^2+38795913\\theta+12838410\\right)-2^{5} x^{4}\\left(9763642\\theta^4+55386224\\theta^3+123097843\\theta^2+124066416\\theta+46600563\\right)-2^{9} 3 x^{5}(\\theta+1)(1717504\\theta^3+9940776\\theta^2+20063523\\theta+13933966)-2^{13} 3^{2} x^{6}(\\theta+1)(\\theta+2)(178975\\theta^2+874119\\theta+1112486)-2^{19} 3^{4} x^{7}(\\theta+3)(\\theta+2)(\\theta+1)(857\\theta+2533)-2^{23} 3^{6} 7 x^{8}(\\theta+1)(\\theta+2)(\\theta+3)(\\theta+4)", "superseek": "161/13 26946/13", "discriminant": "8 169 -7982 -775399 -21633680 -312436544 -2638086144 -13195468800 -36394500096 -42807066624", "aesz": null, "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "13db5d8c98a3d4f31589970217896191", "dim_h": null, "inst": " 161/13 1406/13 26946/13 742982/13 25168759/13 973987380/13 41351330207/13 144558468058 89974410402897/13 4488834942620690/13", "cleanlist": "True", "n_sing_real": "6", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "6", "laurent": null, "discriminant_tex": "-(-1+96z+896z^2)(9z+1)^2(96z+13)^2(8z+1)^2", "discr_factors": "-42807066624, -1/896+3/28*z+z^2, (z+1/8)^2, (z+1/9)^2, (z+13/96)^2", "dm_basis": null, "q": "0 1 -19 -233 1373 -51188 -4373701 -183436934 -8881866499 -475274333888", "yuk": "1 161/13 11409/13 727703/13 47562257/13 3146095036/13 210382013031/13 14183506261162/13 962181210956305/13 65591345184439616/13", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-13/96","im":"0","approx_re":"-0.135416666667","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/8","im":"0","approx_re":"-0.125","approx_im":"0.0","exponents":["0","0","1","1"],"monodromy":[],"monodromy_dm":[]},{"re":"-3/56-5/112*2^(1/2)","im":"0","approx_re":"-0.116706","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","0","1","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":"-3/56+5/112*2^(1/2)","im":"0","approx_re":"0.009563","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","3","4"],"monodromy":[],"monodromy_dm":[]}]}]}