{"count": 3, "status":"OK", "data":[{"pols": "[X^4, -9*(3*X+1)*(3*X+2)*(18*X^2+18*X+7), 6561*(3*X+1)*(3*X+2)*(3*X+4)*(3*X+5)]", "text": "Hadamard product $A \\ast$", "degz": 2, "h3": null, "sol": "1 126 44550 20447280 10600093350 5898285669276 3437708031693936 2070249438202545600 1277465155274881042470 803250121997487963298500", "n_discr_factors": "1", "c3": null, "operator": "4 2 0 0 0 0 1 -126 -891 -2349 -2916 -1458 262440 1535274 2893401 2125764 531441", "new_number": "2.29", "id": 21, "operator_tex": "\\theta^4-3^{2} x(3\\theta+1)(3\\theta+2)(18\\theta^2+18\\theta+7)+3^{8} x^{2}(3\\theta+1)(3\\theta+2)(3\\theta+4)(3\\theta+5)", "superseek": "45 27735", "discriminant": "2 1 -1458 531441", "aesz": "142", "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "85c2c2d8111a859d4cc03e8892c56af9", "dim_h": null, "inst": " 45 -3465/4 27735 -1156005 55721970 -11805992355/4 167012393760 -9923605211925 612225582446895 -77826861839635245/2", "cleanlist": "True", "n_sing_real": "2", 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3948 149310 6300756 285675516 13625781336 674863457598 34412622769140", "n_discr_factors": "2", "c3": "-96", "operator": "4 2 0 0 0 0 1 -6 -40 -105 -130 -65 60 248 380 256 64", "new_number": "2.62", "id": 58, "operator_tex": "\\theta^4-x\\left(65\\theta^4+130\\theta^3+105\\theta^2+40\\theta+6\\right)+2^{2} x^{2}(4\\theta+3)(\\theta+1)^2(4\\theta+5)", "superseek": "5 312", "discriminant": "2 1 -65 64", "aesz": "28", "n_sing_complex": "0", "inst_int": "", "c2h": "84", "hash": "06dd455cafc5097e4f671d385984c1a2", "dim_h": "14", "inst": " 5 28 312 4808 91048 1965908 325780668/7 1178954560 31456810796 874502186004", "cleanlist": "True", "n_sing_real": "3", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "3", "laurent": null, "discriminant_tex": "(64z-1)(z-1)", "discr_factors": "64, z-1/64, z-1", "dm_basis": ["-96*lambda", "21/2", "1", "1", "-7/2", "-21", "-1", "0", "0", "42", "0", "0", "-42", "0", "0", "0"], "q": "0 1 -16 64 -552 -5632 -165472 -4342772 -123146768 -3627953792", "yuk": 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{"pols": "[169*X^4, -15418*X^4-22100*X^3-17810*X^2-6760*X-1014, 37908+209248*X+487096*X^2+580712*X^3+324908*X^4, -3180153*X^4-8754414*X^3-11733109*X^2-7260552*X-1687608, 18242234*X^4+77647504*X^3+123871092*X^2+83490832*X+20385528, -58945060*X^4-325439824*X^3-608035160*X^2-450086684*X-116707308, 43928784*X^4+439619832*X^3+1126215684*X^2+965430000*X+271755432, 162182412*X^4+532716840*X^3+227690748*X^2-179503416*X-105854472, -184700952*X^4-842442768*X^3-578731176*X^2+133833168*X+143181216, -109737072*X^4-172159776*X^3-152362512*X^2-88569504*X-23302080, 126241632*X^4+247008960*X^3+171442656*X^2+48109248*X+4333824, 418176*(4*X+3)*(X+1)^2*(4*X+5)]", "text": "This is operator \"11.13\" from ...", "degz": 11, "h3": null, "sol": "1 6 126 4092 160110 6981156 326953116 16106882616 823919474862 43390556965140", "n_discr_factors": "3", "c3": null, "operator": "4 11 0 0 0 0 169 -1014 -6760 -17810 -22100 -15418 37908 209248 487096 580712 324908 -1687608 -7260552 -11733109 -8754414 -3180153 20385528 83490832 123871092 77647504 18242234 -116707308 -450086684 -608035160 -325439824 -58945060 271755432 965430000 1126215684 439619832 43928784 -105854472 -179503416 227690748 532716840 162182412 143181216 133833168 -578731176 -842442768 -184700952 -23302080 -88569504 -152362512 -172159776 -109737072 4333824 48109248 171442656 247008960 126241632 6272640 25926912 39726720 26763264 6690816", "new_number": "11.13", "id": 329, "operator_tex": "13^{2} \\theta^4-2 13 x\\left(593\\theta^4+850\\theta^3+685\\theta^2+260\\theta+39\\right)+2^{2} x^{2}\\left(81227\\theta^4+145178\\theta^3+121774\\theta^2+52312\\theta+9477\\right)-x^{3}\\left(3180153\\theta^4+8754414\\theta^3+11733109\\theta^2+7260552\\theta+1687608\\right)+2 x^{4}\\left(9121117\\theta^4+38823752\\theta^3+61935546\\theta^2+41745416\\theta+10192764\\right)-2^{2} x^{5}\\left(14736265\\theta^4+81359956\\theta^3+152008790\\theta^2+112521671\\theta+29176827\\right)+2^{2} 3^{2} 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