{"count": 2, "status":"OK", "data":[{"pols": "[8281*X^4, -149058*X-358540*X^2-24843-418964*X^3-202111*X^4, -2334422*X^2-1508962*X-381836-551550*X^4-1700064*X^3, 27353*X^4-6829166*X^2-6586125*X-2489994*X^3-2242968, -46728731*X-12063734*X^3-18386820-508804*X^4-40173426*X^2, -2006931+958242*X^3+100350*X^4-2299608*X^2-4654581*X, 2892684+47526449*X^2+4076796*X^4+26519901*X+28614978*X^3, -5850690-12822522*X-9083012*X^2-192542*X^4-2272522*X^3, -13*(X+1)*(257369*X^3+699321*X^2+523184*X+25156), 3380*(X+2)*(X+1)*(227*X^2+762*X+681), -219700*(X+1)*(X+2)^2*(X+3)]", "text": "This is operator \"10.1\" from ...", "degz": 10, "h3": null, "sol": "1 3 29 393 6333 113163 2166599 43569627 908948749 19510486719", "n_discr_factors": "2", "c3": null, "operator": "4 10 0 0 0 0 8281 -24843 -149058 -358540 -418964 -202111 -381836 -1508962 -2334422 -1700064 -551550 -2242968 -6586125 -6829166 -2489994 27353 -18386820 -46728731 -40173426 -12063734 -508804 -2006931 -4654581 -2299608 958242 100350 2892684 26519901 47526449 28614978 4076796 -5850690 -12822522 -9083012 -2272522 -192542 -327028 -7128420 -15892565 -12436970 -3345797 4603560 12056460 11562980 4877340 767260 -2636400 -6151600 -5053100 -1757600 -219700", "new_number": "10.1", "id": 317, "operator_tex": "7^{2} 13^{2} \\theta^4-7 13 x\\left(2221\\theta^4+4604\\theta^3+3940\\theta^2+1638\\theta+273\\right)-2 x^{2}\\left(275775\\theta^4+850032\\theta^3+1167211\\theta^2+754481\\theta+190918\\right)+x^{3}\\left(27353\\theta^4-6829166\\theta^2-6586125\\theta-2489994\\theta^3-2242968\\right)-x^{4}\\left(46728731\\theta+12063734\\theta^3+18386820+508804\\theta^4+40173426\\theta^2\\right)+3 x^{5}\\left(33450\\theta^4+319414\\theta^3-766536\\theta^2-1551527\\theta-668977\\right)+x^{6}\\left(2892684+47526449\\theta^2+4076796\\theta^4+26519901\\theta+28614978\\theta^3\\right)-2 x^{7}\\left(96271\\theta^4+1136261\\theta^3+4541506\\theta^2+6411261\\theta+2925345\\right)-13 x^{8}(\\theta+1)(257369\\theta^3+699321\\theta^2+523184\\theta+25156)+2^{2} 5 13^{2} x^{9}(\\theta+2)(\\theta+1)(227\\theta^2+762\\theta+681)-2^{2} 5^{2} 13^{3} x^{10}(\\theta+1)(\\theta+2)^2(\\theta+3)", "superseek": "118/91 268/13", "discriminant": "10 8281 -202111 -551550 27353 -508804 100350 4076796 -192542 -3345797 767260 -219700", "aesz": null, "n_sing_complex": "4", "inst_int": "", "c2h": null, "hash": "9708eba070b10afbba48d1f539423c22", "dim_h": null, "inst": " 118/91 373/91 268/13 12732/91 105020/91 141027/13 10132651/91 15899010/13 183821689/13 15497571885/91", "cleanlist": "True", "n_sing_real": "5", "sol_explicit": "", "n_sing_rational": "1", "n_sing": "9", "laurent": null, "discriminant_tex": "-(-1+25z+49z^2+36z^3+199z^4-40z^5+13z^6)(-91-27z+130z^2)^2", "discr_factors": "-219700, -1/13+25/13*z+49/13*z^2+36/13*z^3+199/13*z^4-40/13*z^5+z^6, (-7/10-27/130*z+z^2)^2", "dm_basis": null, "q": "0 1 -6 0 -9 -257 -2665 -31979 -379639 -4878923", "yuk": "1 118/91 3102/91 50770/91 116850/13 1875374/13 213286578/91 3475499411/91 8140409970/13 938042129737/91", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"27/260-1/260*48049^(1/2)","im":"0","approx_re":"-0.739234","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":"27/260+1/260*48049^(1/2)","im":"0","approx_re":"0.946926","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"#ND","im":"#ND","approx_re":"#ND","approx_im":"#ND","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1","2","2","3"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[8281*X^4, 91*X*(782*X^3-1874*X^2-1210*X-273), -2515785*X^4-11622522*X^3-15227939*X^2-9962953*X-2649920, -59827597*X^4-258678126*X^3-432607868*X^2-348819198*X-110445426, -612043042*X^4-2998881218*X^3-5901995820*X^2-5439732380*X-1915723890, -3762840342*X^4-21226829058*X^3-47503242813*X^2-48522700563*X-18479595006, -15265487382*X^4-98210309094*X^3-244753624741*X^2-271941545379*X-110147546634, -42103272002*X^4-304487632282*X^3-831965057114*X^2-991829482602*X-422269162452, -2*(X+1)*(39253400626*X^3+275108963001*X^2+654332416678*X+521254338620), -(X+1)*(X+2)*(94987355417*X^2+545340710193*X+799002779040), -1540*(X+3)*(X+2)*(X+1)*(43765159*X+149264765), -21292817700*(X+1)*(X+2)*(X+3)*(X+4)]", "text": "This is operator \"11.3\" from ...", "degz": 11, "h3": null, "sol": "1 0 20 186 2940 46680 803990 14453460 269264380 5154560880", "n_discr_factors": "3", "c3": null, "operator": "4 11 0 0 0 0 8281 0 -24843 -110110 -170534 71162 -2649920 -9962953 -15227939 -11622522 -2515785 -110445426 -348819198 -432607868 -258678126 -59827597 -1915723890 -5439732380 -5901995820 -2998881218 -612043042 -18479595006 -48522700563 -47503242813 -21226829058 -3762840342 -110147546634 -271941545379 -244753624741 -98210309094 -15265487382 -422269162452 -991829482602 -831965057114 -304487632282 -42103272002 -1042508677240 -2351173510596 -1858882759358 -628724727254 -78506801252 -1598005558080 -3487689757506 -2624999620453 -830302776444 -94987355417 -1379206428600 -2932935188260 -2120588222060 -634257807260 -67398344860 -511027624800 -1064640885000 -745248619500 -212928177000 -21292817700", "new_number": "11.3", "id": 340, "operator_tex": "7^{2} 13^{2} \\theta^4+7 13 x\\theta(782\\theta^3-1874\\theta^2-1210\\theta-273)-x^{2}\\left(2515785\\theta^4+11622522\\theta^3+15227939\\theta^2+9962953\\theta+2649920\\right)-x^{3}\\left(59827597\\theta^4+258678126\\theta^3+432607868\\theta^2+348819198\\theta+110445426\\right)-2 x^{4}\\left(306021521\\theta^4+1499440609\\theta^3+2950997910\\theta^2+2719866190\\theta+957861945\\right)-3 x^{5}\\left(1254280114\\theta^4+7075609686\\theta^3+15834414271\\theta^2+16174233521\\theta+6159865002\\right)-x^{6}\\left(15265487382\\theta^4+98210309094\\theta^3+244753624741\\theta^2+271941545379\\theta+110147546634\\right)-2 x^{7}\\left(21051636001\\theta^4+152243816141\\theta^3+415982528557\\theta^2+495914741301\\theta+211134581226\\right)-2 x^{8}(\\theta+1)(39253400626\\theta^3+275108963001\\theta^2+654332416678\\theta+521254338620)-x^{9}(\\theta+1)(\\theta+2)(94987355417\\theta^2+545340710193\\theta+799002779040)-2^{2} 5 7 11 x^{10}(\\theta+3)(\\theta+2)(\\theta+1)(43765159\\theta+149264765)-2^{2} 3 5^{2} 7^{2} 11^{2} 11971 x^{11}(\\theta+1)(\\theta+2)(\\theta+3)(\\theta+4)", "superseek": "118/91 268/13", "discriminant": "11 8281 71162 -2515785 -59827597 -612043042 -3762840342 -15265487382 -42103272002 -78506801252 -94987355417 -67398344860 -21292817700", "aesz": null, "n_sing_complex": "4", "inst_int": "", "c2h": null, "hash": "082df0c6e37c18b98ea10260e3e1c195", "dim_h": null, "inst": " 118/91 373/91 268/13 12732/91 105020/91 141027/13 10132651/91 15899010/13 183821689/13 15497571885/91", "cleanlist": "True", "n_sing_real": "6", "sol_explicit": "", "n_sing_rational": "2", "n_sing": "10", "laurent": null, "discriminant_tex": "-(3z+1)(11971z^6+16085z^5+8704z^4+2334z^3+289z^2+7z-1)(91+573z+770z^2)^2", "discr_factors": "-21292817700, z^6+16085/11971*z^5+8704/11971*z^4+2334/11971*z^3+289/11971*z^2+7/11971*z-1/11971, (13/110+573/770*z+z^2)^2, z+1/3", "dm_basis": null, "q": "0 1 -3 -27 -36 94 -2425 -45899 -523849 -6234311", "yuk": "1 118/91 3102/91 50770/91 116850/13 1875374/13 213286578/91 3475499411/91 8140409970/13 938042129737/91", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-573/1540-1/1540*48049^(1/2)","im":"0","approx_re":"-0.514416","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/3","im":"0","approx_re":"-0.333333333333","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-573/1540+1/1540*48049^(1/2)","im":"0","approx_re":"-0.22974","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":"#ND","im":"#ND","approx_re":"#ND","approx_im":"#ND","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":[]}]}]}