{"count": 2, "status":"OK", "data":[{"pols": "[X^4, 6+27*X+47*X^2+40*X^3+20*X^4, -(143*X^2+286*X+120)*(X+1)^2, -18*(X+2)*(X+1)*(291*X^2+873*X+766), -540*(X+3)*(X+1)*(41*X^2+164*X+196), 5400*(X+4)*(X+1)*(29*X^2+145*X+150), 972000*(X+5)*(X+4)*(X+2)*(X+1)]", "text": "This is operator \"6.21\" from ...", "degz": 6, "h3": null, "sol": "1 -6 60 -480 5040 -42336 468456 -3906720 46352160 -367896000", "n_discr_factors": "5", "c3": null, "operator": "4 6 0 0 0 0 1 6 27 47 40 20 -120 -526 -835 -572 -143 -27576 -72792 -71406 -31428 -5238 -317520 -689040 -526500 -177120 -22140 3240000 7182000 5351400 1566000 156600 38880000 75816000 47628000 11664000 972000", "new_number": "6.21", "id": 405, "operator_tex": "\\theta^4+x\\left(6+27\\theta+47\\theta^2+40\\theta^3+20\\theta^4\\right)-x^{2}(143\\theta^2+286\\theta+120)(\\theta+1)^2-2 3^{2} x^{3}(\\theta+2)(\\theta+1)(291\\theta^2+873\\theta+766)-2^{2} 3^{3} 5 x^{4}(\\theta+3)(\\theta+1)(41\\theta^2+164\\theta+196)+2^{3} 3^{3} 5^{2} x^{5}(\\theta+4)(\\theta+1)(29\\theta^2+145\\theta+150)+2^{5} 3^{5} 5^{3} x^{6}(\\theta+5)(\\theta+4)(\\theta+2)(\\theta+1)", "superseek": "1 11", "discriminant": "6 1 20 -143 -5238 -22140 156600 972000", "aesz": null, "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "319d6b2f1541de5252840442cc6f8dcd", "dim_h": null, "inst": " 1 13/4 11 50 1674/5 11339/4 25332 231810 2188747 214734129/10", "cleanlist": "True", "n_sing_real": "6", "sol_explicit": "", "n_sing_rational": "6", "n_sing": "6", "laurent": null, "discriminant_tex": "(6z-1)(15z-1)(9z+1)(12z+1)(10z+1)^2", "discr_factors": "972000, z+1/12, z+1/9, z-1/6, (z+1/10)^2, z-1/15", "dm_basis": null, "q": "0 1 3 -28 -339 -995 8208 79253 -114261 -6614045", "yuk": "1 1 27 298 3227 41851 612630 8688877 118689947 1595596861", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/9","im":"0","approx_re":"-0.111111111111","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/10","im":"0","approx_re":"-0.1","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/12","im":"0","approx_re":"-0.0833333333333","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":"1/15","im":"0","approx_re":"0.0666666666667","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/6","im":"0","approx_re":"0.166666666667","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": "[X^4, -76*X^4-80*X^3-73*X^2-33*X-6, 2209*X^4+4228*X^3+4745*X^2+2726*X+648, -31230*X^4-83628*X^3-109782*X^2-73296*X-20232, 225180*X^4+797904*X^3+1263060*X^2+987120*X+307152, -216*(X+1)*(3707*X^3+14055*X^2+20242*X+10704), 15552*(X+1)*(X+2)*(86*X^2+285*X+262), -839808*(X+1)*(X+2)^2*(X+3)]", "text": "This is operator \"7.10\" from ...", "degz": 7, "h3": null, "sol": "1 6 60 816 13104 232416 4408296 87822720 1816916256 38731107264", "n_discr_factors": "5", "c3": null, "operator": "4 7 0 0 0 0 1 -6 -33 -73 -80 -76 648 2726 4745 4228 2209 -20232 -73296 -109782 -83628 -31230 307152 987120 1263060 797904 225180 -2312064 -6684336 -7408152 -3836592 -800712 8149248 21088512 20046528 8444736 1337472 -10077696 -23514624 -19315584 -6718464 -839808", "new_number": "7.10", "id": 432, "operator_tex": "\\theta^4-x\\left(76\\theta^4+80\\theta^3+73\\theta^2+33\\theta+6\\right)+x^{2}\\left(2209\\theta^4+4228\\theta^3+4745\\theta^2+2726\\theta+648\\right)-2 3^{2} x^{3}\\left(1735\\theta^4+4646\\theta^3+6099\\theta^2+4072\\theta+1124\\right)+2^{2} 3^{3} x^{4}\\left(2085\\theta^4+7388\\theta^3+11695\\theta^2+9140\\theta+2844\\right)-2^{3} 3^{3} x^{5}(\\theta+1)(3707\\theta^3+14055\\theta^2+20242\\theta+10704)+2^{6} 3^{5} x^{6}(\\theta+1)(\\theta+2)(86\\theta^2+285\\theta+262)-2^{7} 3^{8} x^{7}(\\theta+1)(\\theta+2)^2(\\theta+3)", "superseek": "1 11", "discriminant": "7 1 -76 2209 -31230 225180 -800712 1337472 -839808", "aesz": null, "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "b1c277f62ba740f9f7e0371ba53e4194", "dim_h": null, "inst": " 1 13/4 11 50 1674/5 11339/4 25332 231810 2188747 214734129/10", "cleanlist": "True", "n_sing_real": "6", "sol_explicit": "", "n_sing_rational": "6", "n_sing": "6", "laurent": null, "discriminant_tex": "-(3z-1)(18z-1)(27z-1)(12z-1)^2(-1+2z)^2", "discr_factors": "-839808, z-1/18, z-1/27, (-1/2+z)^2, (z-1/12)^2, z-1/3", "dm_basis": null, "q": "0 1 -9 44 -207 949 -5616 15965 -166089 -97109", "yuk": "1 1 27 298 3227 41851 612630 8688877 118689947 1595596861", "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":[],"monodromy_dm":[]},{"re":"1/27","im":"0","approx_re":"0.037037037037","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/18","im":"0","approx_re":"0.0555555555556","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/12","im":"0","approx_re":"0.0833333333333","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":"1/2","im":"0","approx_re":"0.5","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1","2","2","3"],"monodromy":[],"monodromy_dm":[]}]}]}