{"count": 3, "status":"OK", "data":[{"pols": "[X^4, -216-948*X-1652*X^2-1408*X^3-512*X^4, 128*(4*X+5)*(2*X+3)*(8*X+9)*(8*X+13)]", "text": "Operator equivalent to (:aesz 255)", "degz": 2, "h3": null, "sol": "1 216 49896 11872896 2872063656 702039514176 172843800197376 42778986061971456 10630400741354546856 2649973379832808922816", "n_discr_factors": "1", "c3": null, "operator": "4 2 0 0 0 0 1 -216 -948 -1652 -1408 -512 224640 667392 738304 360448 65536", "new_number": "2.70", "id": 67, "operator_tex": "\\theta^4-2^{2} x\\left(128\\theta^4+352\\theta^3+413\\theta^2+237\\theta+54\\right)+2^{7} x^{2}(4\\theta+5)(2\\theta+3)(8\\theta+9)(8\\theta+13)", "superseek": "20 28820/3", "discriminant": "2 1 -512 65536", "aesz": null, "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "336ddc1188eadae2f4b4c470a17f4ec1", "dim_h": null, "inst": " 20 290 28820/3 454190 26517920 5315668130/3 130052490460 10228035566870 2544287074153040/3 73327006753069840", "cleanlist": "True", "n_sing_real": "2", "sol_explicit": "", "n_sing_rational": "2", "n_sing": "2", "laurent": null, "discriminant_tex": "(256z-1)^2", "discr_factors": "65536, (z-1/256)^2", "dm_basis": ["60*I*lambda+1/2+1/2*I-60*lambda", "3-3*I", "-I", "1", "-1+I", "-6+6*I", "I", "0", "0", "12-12*I", "0", "0", "-12+12*I", "0", "0", "0"], "q": "0 1 -84 3294 -104464 2008365 -80464536 -1641557998 -248229425472 -21222256770810", "yuk": "1 20 2340 259400 29070500 3314740020 382728367080 44608004227800 5236754239307940 618261759019448120", "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":["1","0","0","0","1","1","0","0","0","12+12*I","1","0","0","0","-I","1"]},{"re":"1/256","im":"0","approx_re":"0.00390625","approx_im":"0.0","exponents":["0","1/4","-3/4","1"],"monodromy":["1/2-60*I*lambda+I*(-1/2-60*I*lambda)","1/12-1/12*I","-5*I*lambda+5*lambda","-.20732598e-1+.20732598e-1*I","1-I","1/2-1/2*I","1/3-1/3*I","5*I*lambda-5*lambda","0","-1+I","1/2-1/2*I","1/12-1/12*I","12-12*I","0","1-I","1/2+60*I*lambda+I*(-1/2+60*I*lambda)"],"monodromy_dm":["-I","-4+4*I","I","-1","0","1-I","-83333/1000000*I","0","0","-12","0","0","0","4-8*I","333333/1000000-666667/1000000*I","1"]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["9/8","5/4","3/2","13/8"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[25*X^4, 200+2435*X^4+4390*X^3+3545*X^2+1350*X, 8960+32416*X^4+84448*X^3+94176*X^2+48640*X, -1341440-555264*X^4-3809280*X^3-7881984*X^2-5744640*X, -4096*(2*X+1)*(518*X^3+2397*X^2+2940*X+1048), -196608*(2*X+1)*(3*X+2)*(3*X+4)*(2*X+3)]", "text": "This is operator \"5.113\" from ...", "degz": 5, "h3": "40", "sol": "1 -8 216 -8000 359800 -18119808 984481344 -56406924288 3361129457400 -206391102632000", "n_discr_factors": "3", "c3": "-116", "operator": "4 5 0 0 0 0 25 200 1350 3545 4390 2435 8960 48640 94176 84448 32416 -1341440 -5744640 -7881984 -3809280 -555264 -4292608 -20627456 -33902592 -21757952 -4243456 -4718592 -23199744 -39911424 -28311552 -7077888", "new_number": "5.113", "id": 196, "operator_tex": "5^{2} \\theta^4+5 x\\left(487\\theta^4+878\\theta^3+709\\theta^2+270\\theta+40\\right)+2^{5} x^{2}\\left(1013\\theta^4+2639\\theta^3+2943\\theta^2+1520\\theta+280\\right)-2^{8} x^{3}\\left(2169\\theta^4+14880\\theta^3+30789\\theta^2+22440\\theta+5240\\right)-2^{12} x^{4}(2\\theta+1)(518\\theta^3+2397\\theta^2+2940\\theta+1048)-2^{16} 3 x^{5}(2\\theta+1)(3\\theta+2)(3\\theta+4)(2\\theta+3)", "superseek": "-29/5 -1481/5", "discriminant": "5 25 2435 32416 -555264 -4243456 -7077888", "aesz": "403\n", "n_sing_complex": "0", "inst_int": "", "c2h": "64", "hash": "492c8a69e87d470c87b9557834f0fc5b", "dim_h": "12", "inst": " -29/5 229/5 -1481/5 43173/5 -155267 20755686/5 -522832342/5 3084982763 -456385490902/5 2890433835829", "cleanlist": "True", "n_sing_real": "5", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "5", "laurent": null, "discriminant_tex": "-(27z+1)(1024z^2-64z-1)(5+16z)^2", "discr_factors": "-7077888, z+1/27, (5/16+z)^2, z^2-1/16*z-1/1024", "dm_basis": null, "q": "0 1 22 173 88 -50970 -542658 -16846494 153347488 -8771135821", "yuk": "1 -29/5 1803/5 -40016/5 552975 -97041904/5 4483189992/5 -35866298667 1579511727631 -332705022907574/5", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-5/16","im":"0","approx_re":"-0.3125","approx_im":"0.0","exponents":["0","1","3","4"],"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":"1/32-1/32*2^(1/2)","im":"0","approx_re":"-0.012944","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":"1/32+1/32*2^(1/2)","im":"0","approx_re":"0.075444","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","2/3","4/3","3/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -3*X*(2+11*X+18*X^2+27*X^3), -3456-17820*X-32562*X^2-22356*X^3-3888*X^4, -178848-688176*X-699840*X^2+90396*X^4, 17496*(2*X+1)*(54*X^3+405*X^2+544*X+200), -944784*(2*X+1)*(3*X+2)*(3*X+4)*(2*X+3)]", "text": "This is operator \"5.33\" from ...", "degz": 5, "h3": "18", "sol": "1 0 216 7200 567000 38102400 2992096800 239740300800 20126947440600 1733218043356800", "n_discr_factors": "4", "c3": "-52", "operator": "4 5 0 0 0 0 1 0 -6 -33 -54 -81 -3456 -17820 -32562 -22356 -3888 -178848 -688176 -699840 0 90396 3499200 16516224 26121528 15116544 1889568 -22674816 -111484512 -191791152 -136048896 -34012224", "new_number": "5.33", "id": 242, "operator_tex": "\\theta^4-3 x\\theta(2+11\\theta+18\\theta^2+27\\theta^3)-2 3^{3} x^{2}\\left(72\\theta^4+414\\theta^3+603\\theta^2+330\\theta+64\\right)+2^{2} 3^{5} x^{3}\\left(93\\theta^4-720\\theta^2-708\\theta-184\\right)+2^{3} 3^{7} x^{4}(2\\theta+1)(54\\theta^3+405\\theta^2+544\\theta+200)-2^{4} 3^{10} x^{5}(2\\theta+1)(3\\theta+2)(3\\theta+4)(2\\theta+3)", "superseek": "9 14201/3", "discriminant": "5 1 -81 -3888 90396 1889568 -34012224", "aesz": "216", "n_sing_complex": "0", "inst_int": "", "c2h": "48", "hash": "af7027bf24acce4fd0ed5b09e575e2a5", "dim_h": "7", "inst": " 9 225 14201/3 154800 6298596 891120368/3 15388571196 854854622028 150149352094538/3 3054637162639620", "cleanlist": "True", "n_sing_real": "5", "sol_explicit": "", "n_sing_rational": "5", "n_sing": "5", "laurent": null, "discriminant_tex": "-(27z+1)(108z-1)(36z+1)(-1+18z)^2", "discr_factors": "-34012224, z+1/36, (-1/18+z)^2, z+1/27, z-1/108", "dm_basis": null, "q": "0 1 -6 -693 -12452 -197823 -12446514 -891867937 -56452162728 -3600417678813", "yuk": "1 9 1809 127818 9909009 787324509 64160796114 5278279920237 437685576387345 36486292559100552", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/27","im":"0","approx_re":"-0.037037037037","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/36","im":"0","approx_re":"-0.0277777777778","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":"1/108","im":"0","approx_re":"0.00925925925926","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/18","im":"0","approx_re":"0.0555555555556","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","2/3","4/3","3/2"],"monodromy":[],"monodromy_dm":[]}]}]}