{"count": 2, "status":"OK", "data":[{"pols": "[X^4, -144*X^4-180*X^3-159*X^2-69*X-12, 7857*X^4+17820*X^3+20871*X^2+12096*X+2736, -205578*X^4-629856*X^3-851958*X^2-542376*X-129600, 2598156*X^4+9447840*X^3+13568148*X^2+8608032*X+2006208, -1417176*(X+1)^2*(3*X+2)*(3*X+4)]", "text": "A-Incarnation: (3,0),(0,3),(1,1) intersection in $P^3 \\times \\P^3$.", "degz": 5, "h3": "54", "sol": "1 12 252 6600 198540 6616512 238795704 9174387024 370128617100 15513158060400", "n_discr_factors": "3", "c3": "-18", "operator": "4 5 0 0 0 0 1 -12 -69 -159 -180 -144 2736 12096 20871 17820 7857 -129600 -542376 -851958 -629856 -205578 2006208 8608032 13568148 9447840 2598156 -11337408 -48183984 -75110328 -51018336 -12754584", "new_number": "5.3", "id": 249, "operator_tex": "\\theta^4-3 x\\left(48\\theta^4+60\\theta^3+53\\theta^2+23\\theta+4\\right)+3^{2} x^{2}\\left(873\\theta^4+1980\\theta^3+2319\\theta^2+1344\\theta+304\\right)-2 3^{4} x^{3}\\left(1269\\theta^4+3888\\theta^3+5259\\theta^2+3348\\theta+800\\right)+2^{2} 3^{6} x^{4}\\left(891\\theta^4+3240\\theta^3+4653\\theta^2+2952\\theta+688\\right)-2^{3} 3^{11} x^{5}(\\theta+1)^2(3\\theta+2)(3\\theta+4)", "superseek": "3 245/3", "discriminant": "5 1 -144 7857 -205578 2598156 -12754584", "aesz": "20", "n_sing_complex": "0", "inst_int": "", "c2h": "72", "hash": "a9a698dc5c79ffda497a7897390408b0", "dim_h": "15", "inst": " 3 33/2 245/3 879 11829 993487/6 2570790 43196640 2285716376/3 27978313311/2", "cleanlist": "True", "n_sing_real": "4", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "4", "laurent": null, "discriminant_tex": "-(54z-1)(27z-1)^2(18z-1)^2", "discr_factors": "-12754584, (z-1/18)^2, z-1/54, (z-1/27)^2", "dm_basis": null, "q": "0 1 -21 306 -3931 41658 -433134 3702113 -38458437 216542484", "yuk": "1 3 135 2208 56391 1478628 35767872 881780973 22116736071 555429081576", "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":"1/54","im":"0","approx_re":"0.0185185185185","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/27","im":"0","approx_re":"0.037037037037","approx_im":"0.0","exponents":["0","1/3","2/3","1"],"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":["2/3","1","1","4/3"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -288*X^4-360*X^3-381*X^2-201*X-42, 35073*X^4+85860*X^3+118881*X^2+83214*X+23472, -2340090*X^4-8424324*X^3-14284998*X^2-11871036*X-3875040, 92352636*X^4+435545424*X^3+869227524*X^2+817972992*X+293874480, -4251528*(X+1)*(507*X^3+2439*X^2+4306*X+2704), 306110016*(X+1)*(X+2)*(90*X^2+351*X+370), -148769467776*(X+1)*(X+2)^2*(X+3)]", "text": "This is operator \"7.9\" from ...", "degz": 7, "h3": null, "sol": "1 42 1872 86712 4126716 200324232 9870518664 491971281984 24744102202764 1253607240829272", "n_discr_factors": "3", "c3": null, "operator": "4 7 0 0 0 0 1 -42 -201 -381 -360 -288 23472 83214 118881 85860 35073 -3875040 -11871036 -14284998 -8424324 -2340090 293874480 817972992 869227524 435545424 92352636 -11496131712 -29803211280 -28676556360 -12525001488 -2155524696 226521411840 554671348992 490694355648 190094319936 27549901440 -1785233613312 -4165545097728 -3421697758848 -1190155742208 -148769467776", "new_number": "7.9", "id": 452, "operator_tex": "\\theta^4-3 x\\left(96\\theta^4+120\\theta^3+127\\theta^2+67\\theta+14\\right)+3^{2} x^{2}\\left(3897\\theta^4+9540\\theta^3+13209\\theta^2+9246\\theta+2608\\right)-2 3^{4} x^{3}\\left(14445\\theta^4+52002\\theta^3+88179\\theta^2+73278\\theta+23920\\right)+2^{2} 3^{6} x^{4}\\left(31671\\theta^4+149364\\theta^3+298089\\theta^2+280512\\theta+100780\\right)-2^{3} 3^{12} x^{5}(\\theta+1)(507\\theta^3+2439\\theta^2+4306\\theta+2704)+2^{6} 3^{14} x^{6}(\\theta+1)(\\theta+2)(90\\theta^2+351\\theta+370)-2^{7} 3^{19} x^{7}(\\theta+1)(\\theta+2)^2(\\theta+3)", "superseek": "-3 -245/3", "discriminant": "7 1 -288 35073 -2340090 92352636 -2155524696 27549901440 -148769467776", "aesz": null, "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "5641c09b76662b0741e41b41b0c6f105", "dim_h": null, "inst": " -3 69/4 -245/3 879 -11829 1987219/12 -2570790 43196640 -2285716376/3 55956638451/4", "cleanlist": "True", "n_sing_real": "4", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "4", "laurent": null, "discriminant_tex": "-(36z-1)^2(27z-1)^2(54z-1)^3", "discr_factors": "-148769467776, (z-1/54)^3, (z-1/36)^2, (z-1/27)^2", "dm_basis": null, "q": "0 1 -33 954 -26687 733938 -19944846 537750017 -14419345233 385065685188", "yuk": "1 -3 135 -2208 56391 -1478628 35767872 -881780973 22116736071 -555429081576", "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":"1/54","im":"0","approx_re":"0.0185185185185","approx_im":"0.0","exponents":["0","0","-1/3","1/3"],"monodromy":[],"monodromy_dm":[]},{"re":"1/36","im":"0","approx_re":"0.0277777777778","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","1/3","2/3","1"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1","2","2","3"],"monodromy":[],"monodromy_dm":[]}]}]}