{"count": 2, "status":"OK", "data":[{"pols": "[169*X^4, -59397*X^4-117546*X^3-86827*X^2-28054*X-3380, 102176*X^4-28384*X^3-286368*X^2-185536*X-33904, 17152*X^4+319488*X^3+279296*X^2+79872*X+6656, -4096*(2*X+1)^4]", "text": "Sporadic Operator.\nThere is a second MUM point hidden at infinity. That is operator AESZ 207/4.38\nA-Incarnation: $5 \\times 5$-Pfaffian in P^5\n\nA-Incarnation: 5 \\times 5 Pfaffian in P^5", "degz": 4, "h3": "13", "sol": "1 20 2196 369200 75562900 17321033520 4274237444400 1110816764291520 299987146348074900 83448532078002462800", "n_discr_factors": "2", "c3": "-120", "operator": "4 4 0 0 0 0 169 -3380 -28054 -86827 -117546 -59397 -33904 -185536 -286368 -28384 102176 6656 79872 279296 319488 17152 -4096 -32768 -98304 -131072 -65536", "new_number": "4.34", "id": 131, "operator_tex": "13^{2} \\theta^4-13 x\\left(4569\\theta^4+9042\\theta^3+6679\\theta^2+2158\\theta+260\\right)+2^{4} x^{2}\\left(6386\\theta^4-1774\\theta^3-17898\\theta^2-11596\\theta-2119\\right)+2^{8} x^{3}\\left(67\\theta^4+1248\\theta^3+1091\\theta^2+312\\theta+26\\right)-2^{12} x^{4}\\left((2\\theta+1)^4\\right)", "superseek": "647/13 942613/13", "discriminant": "4 169 -59397 102176 17152 -65536", "aesz": "99", "n_sing_complex": "1", "inst_int": "", "c2h": "58", "hash": "f6c6b846edc829f336d8e4ae1dcb5618", "dim_h": "7", "inst": " 647/13 16166/13 942613/13 80218296/13 8418215008/13 1010635571652/13 133175036459554/13 18790105726249800/13 2793397258503481492/13 432766737883812461716/13", "cleanlist": "True", "n_sing_real": "2", "sol_explicit": "", "n_sing_rational": "2", "n_sing": "3", "laurent": null, "discriminant_tex": "-(256z^2+349z-1)(-13+16z)^2", "discr_factors": "-65536, (-13/16+z)^2, z^2+349/256*z-1/256", "dm_basis": null, "q": "0 1 -86 1891 -93168 -5986827 -897060226 -133756443955 -21091605379872 -3466693323446225", "yuk": "1 647/13 129975/13 25451198/13 5134100919/13 1052276876647/13 218297309057358/13 3513772115817513 9620534136973998519/13 2036386601449063458866/13", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-349/512-85/512*17^(1/2)","im":"0","approx_re":"-1.366141","approx_im":"0.0","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":"-349/512+85/512*17^(1/2)","im":"0","approx_re":"0.002859","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"13/16","im":"0","approx_re":"0.8125","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","1/2","1/2","1/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[25*X^4, -4995*X^4-13230*X^3-11715*X^2-5100*X-900, 186624*X^4+1463832*X^3+2585844*X^2+1717200*X+415440, 8188128*X^4+9447840*X^3-45585828*X^2-61279740*X-20664720, -136048896*X^4-1292464512*X^3-2424315744*X^2-1707224688*X-415285056, -11337408*(3*X+2)*(3*X+4)*(6*X+5)*(6*X+7)]", "text": "This is operator \"5.65\" from ...", "degz": 5, "h3": null, "sol": "1 36 2196 161280 13032900 1115973936 99328836096 9088750224576 849053816612100 80605604422371600", "n_discr_factors": "3", "c3": null, "operator": "4 5 0 0 0 0 25 -900 -5100 -11715 -13230 -4995 415440 1717200 2585844 1463832 186624 -20664720 -61279740 -45585828 9447840 8188128 -415285056 -1707224688 -2424315744 -1292464512 -136048896 -3174474240 -13672914048 -21529737792 -14693280768 -3673320192", "new_number": "5.65", "id": 277, "operator_tex": "5^{2} \\theta^4-3 5 x\\left(333\\theta^4+882\\theta^3+781\\theta^2+340\\theta+60\\right)+2^{2} 3^{2} x^{2}\\left(5184\\theta^4+40662\\theta^3+71829\\theta^2+47700\\theta+11540\\right)+2^{2} 3^{5} x^{3}\\left(8424\\theta^4+9720\\theta^3-46899\\theta^2-63045\\theta-21260\\right)-2^{4} 3^{8} x^{4}\\left(1296\\theta^4+12312\\theta^3+23094\\theta^2+16263\\theta+3956\\right)-2^{6} 3^{11} x^{5}(3\\theta+2)(3\\theta+4)(6\\theta+5)(6\\theta+7)", "superseek": "63/5 14016/5", "discriminant": "5 25 -4995 186624 8188128 -136048896 -3673320192", "aesz": "273", "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "cf49bc645cb0404ce7bc9ca1d41d3152", "dim_h": null, "inst": " 63/5 -747/4 14016/5 -55584 6071598/5 -29280858 3789513648/5 -103572330372/5 2946639866493/5 -172753730633619/10", "cleanlist": "True", "n_sing_real": "4", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "4", "laurent": null, "discriminant_tex": "-(-1+27z)(108z+5)^2(108z-1)^2", "discr_factors": "-3673320192, (z+5/108)^2, (z-1/108)^2, -1/27+z", "dm_basis": null, "q": "0 1 -60 2916 -132140 5799354 -248943456 10506838262 -437619310824 18036699887331", "yuk": "1 63/5 -7407/5 75699 -17794287/5 758949813/5 -6324591123 1299803181327/5 -53029050944751/5 2148100463051892/5", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-5/108","im":"0","approx_re":"-0.0462962962963","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":"1/108","im":"0","approx_re":"0.00925925925926","approx_im":"0.0","exponents":["0","1/6","5/6","1"],"monodromy":[],"monodromy_dm":[]},{"re":"1/27","im":"0","approx_re":"0.037037037037","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":["2/3","5/6","7/6","4/3"],"monodromy":[],"monodromy_dm":[]}]}]}