{"count": 10, "status":"OK", "data":[{"pols": "[9*X^4, -318*X^4-438*X^3-345*X^2-126*X-18, -4511*X^4-24314*X^3-37829*X^2-23598*X-5286, 41828*X^4+128736*X^3+97796*X^2+14508*X-5268, -70224*X^4-89760*X^3+4444*X^2+47740*X+16984, -1936*(4*X+3)*(X+1)^2*(4*X+5)]", "text": "This is operator \"5.49\" from ...", "degz": 5, "h3": "48", "sol": "1 2 54 1028 29110 840252 26776764 886326408 30553518006 1082050391180", "n_discr_factors": "3", "c3": "-92", "operator": "4 5 0 0 0 0 9 -18 -126 -345 -438 -318 -5286 -23598 -37829 -24314 -4511 -5268 14508 97796 128736 41828 16984 47740 4444 -89760 -70224 -29040 -120032 -183920 -123904 -30976", "new_number": "5.49", "id": 259, "operator_tex": "3^{2} \\theta^4-3 x\\left(106\\theta^4+146\\theta^3+115\\theta^2+42\\theta+6\\right)-x^{2}\\left(4511\\theta^4+24314\\theta^3+37829\\theta^2+23598\\theta+5286\\right)+2^{2} x^{3}\\left(10457\\theta^4+32184\\theta^3+24449\\theta^2+3627\\theta-1317\\right)-2^{2} 11 x^{4}\\left(1596\\theta^4+2040\\theta^3-101\\theta^2-1085\\theta-386\\right)-2^{4} 11^{2} x^{5}(4\\theta+3)(\\theta+1)^2(4\\theta+5)", "superseek": "7/3 148", "discriminant": "5 9 -318 -4511 41828 -70224 -30976", "aesz": "248", "n_sing_complex": "0", "inst_int": "", "c2h": "84", "hash": "0c9ccff1cb4f5096e455a9026799ed5a", "dim_h": "15", "inst": " 7/3 551/24 148 8241/4 86854/3 3122483/6 9677518 1187963639/6 12624388525/3 1126077833419/12", "cleanlist": "True", "n_sing_real": "5", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "5", "laurent": null, "discriminant_tex": "-(16z+1)(16z^2+44z-1)(-3+11z)^2", "discr_factors": "-30976, z+1/16, (-3/11+z)^2, z^2+11/4*z-1/16", "dm_basis": null, "q": "0 1 -6 -89 116 -1681 -75674 -1706035 -35395000 -846481600", "yuk": "1 7/3 186 11995/3 132042 3618919 112413570 9958166029/3 304119087710/3 9203179246720/3", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-11/8-5/8*5^(1/2)","im":"0","approx_re":"-2.772542","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/16","im":"0","approx_re":"-0.0625","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":"-11/8+5/8*5^(1/2)","im":"0","approx_re":"0.022542","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"3/11","im":"0","approx_re":"0.272727272727","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":["3/4","1","1","5/4"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[49*X^4, -1085*X^4-2002*X^3-1638*X^2-637*X-98, -16105*X^4-68044*X^3-102261*X^2-66094*X-15736, 21000*X^4+68712*X^3+72568*X^2+30072*X+3808, -7440*X^4-20256*X^3-23024*X^2-12896*X-2944, 512*(X+1)^4]", "text": "There is a second MUM-point at infinity, corresponding to Operator AESZ 118/5.16\nA-Incarnation: five (1,1) sections in ${\\bf P}^4 \\times {\\bf P}^4$.Quotient by ${\\bf Z}/2$ of this: \nthe Reye congruence Calabi-Yau threefold.", "degz": 5, "h3": "140", "sol": "1 2 34 488 9826 206252 4734304 113245568 2816649826 72001228052", "n_discr_factors": "3", "c3": "-200", "operator": "4 5 0 0 0 0 49 -98 -637 -1638 -2002 -1085 -15736 -66094 -102261 -68044 -16105 3808 30072 72568 68712 21000 -2944 -12896 -23024 -20256 -7440 512 2048 3072 2048 512", "new_number": "5.5", "id": 271, "operator_tex": "7^{2} \\theta^4-7 x\\left(155\\theta^4+286\\theta^3+234\\theta^2+91\\theta+14\\right)-x^{2}\\left(16105\\theta^4+68044\\theta^3+102261\\theta^2+66094\\theta+15736\\right)+2^{3} x^{3}\\left(2625\\theta^4+8589\\theta^3+9071\\theta^2+3759\\theta+476\\right)-2^{4} x^{4}\\left(465\\theta^4+1266\\theta^3+1439\\theta^2+806\\theta+184\\right)+2^{9} x^{5}\\left((\\theta+1)^4\\right)", "superseek": "10/7 295/7", "discriminant": "5 49 -1085 -16105 21000 -7440 512", "aesz": "22", "n_sing_complex": "0", "inst_int": "", "c2h": "-40", "hash": "5b96eae0872756be1130d4b12ffe60a6", "dim_h": "20", "inst": " 10/7 65/7 295/7 3065/7 4245 377115/7 694590 69723305/7 1031662155/7 2296011250", "cleanlist": "True", "n_sing_real": "5", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "5", "laurent": null, "discriminant_tex": "(32z-1)(z^2-11z-1)(4z-7)^2", "discr_factors": "512, z-1/32, (z-7/4)^2, z^2-11*z-1", "dm_basis": null, "q": "0 1 -5 -40 115 -645 -12846 -177350 -2574585 -44198680", "yuk": "1 10/7 530/7 7975/7 196690/7 3714385/7 11637905 1667710600/7 35698528850/7 752081718970/7", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"11/2-5/2*5^(1/2)","im":"0","approx_re":"-0.09017","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","im":"0","approx_re":"0.03125","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"7/4","im":"0","approx_re":"1.75","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"11/2+5/2*5^(1/2)","im":"0","approx_re":"11.09017","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","1","1","1"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[49*X^4, -98-588*X-1407*X^2-1638*X^3-273*X^4, -15512-68656*X-114922*X^2-86444*X^3-24146*X^4, 128128+323904*X+133572*X^2-193704*X^3-115692*X^4, 428896+1641536*X+2163720*X^2+1018160*X^3+37336*X^4, 16224*(X+1)^2*(6*X+5)*(6*X+7)]", "text": "This is operator \"5.81\" from ...", "degz": 5, "h3": "84", "sol": "1 2 30 308 5950 96252 1973244 38397480 823170366 17515057340", "n_discr_factors": "4", "c3": "-108", "operator": "4 5 0 0 0 0 49 -98 -588 -1407 -1638 -273 -15512 -68656 -114922 -86444 -24146 128128 323904 133572 -193704 -115692 428896 1641536 2163720 1018160 37336 567840 2303808 3488160 2336256 584064", "new_number": "5.81", "id": 295, "operator_tex": "7^{2} \\theta^4-7 x\\left(39\\theta^4+234\\theta^3+201\\theta^2+84\\theta+14\\right)-2 x^{2}\\left(12073\\theta^4+43222\\theta^3+57461\\theta^2+34328\\theta+7756\\right)-2^{2} x^{3}\\left(28923\\theta^4+48426\\theta^3-33393\\theta^2-80976\\theta-32032\\right)+2^{3} 13 x^{4}\\left(359\\theta^4+9790\\theta^3+20805\\theta^2+15784\\theta+4124\\right)+2^{5} 3 13^{2} x^{5}(\\theta+1)^2(6\\theta+5)(6\\theta+7)", "superseek": "5/7 48/7", "discriminant": "5 49 -273 -24146 -115692 37336 584064", "aesz": "312", "n_sing_complex": "0", "inst_int": "", "c2h": "108", "hash": "767262575f8b1458839c1e9a8beacf0a", "dim_h": "23", "inst": " 5/7 239/28 48/7 4451/14 5888/7 177307/7 124308 21455179/7 21345700 3274689851/7", "cleanlist": "True", "n_sing_real": "5", "sol_explicit": "", "n_sing_rational": "5", "n_sing": "5", "laurent": null, "discriminant_tex": "(16z+1)(2z-1)(27z-1)(7+26z)^2", "discr_factors": "584064, z-1/2, z-1/27, (7/26+z)^2, z+1/16", "dm_basis": null, "q": "0 1 -4 -40 248 -1488 -864 -90452 -266448 -17360416", "yuk": "1 5/7 69 1301/7 142915/7 736005/7 38300091/7 298463513/7 1569313509 108927108401/7", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-7/26","im":"0","approx_re":"-0.269230769231","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/16","im":"0","approx_re":"-0.0625","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":"1/27","im":"0","approx_re":"0.037037037037","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","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["5/6","1","1","7/6"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -13*X^4-14*X^3-16*X^2-9*X-2, 33*X^4-88*X^3-265*X^2-324*X-148, 217*X^4+2362*X^3+6403*X^2+8178*X+4160, -1354*X^4-8268*X^3-16178*X^2-12420*X-720, 1812*X^4-15192*X^3-139320*X^2-347460*X-301320, 7580*X^4+149208*X^3+707964*X^2+1423392*X+1075344, -38540*X^4-356680*X^3-743540*X^2+429576*X+2089856, 47256*X^4-85088*X^3-3329000*X^2-13330608*X-16415360, 94304*X^4+2569088*X^3+16637888*X^2+42511200*X+38564800, -391808*X^4-5430528*X^3-25443520*X^2-46255680*X-22811520, 433728*X^4+2572416*X^3-8937408*X^2-87598848*X-152957952, 1152*(X+4)*(371*X^3+8580*X^2+53325*X+101564), -27648*(X+4)*(X+5)*(51*X^2+519*X+1330), 829440*(X+4)*(X+5)^2*(X+6)]", "text": "This is operator \"14.1\" from ...", "degz": 14, "h3": null, "sol": "1 2 16 48 264 1008 5008 21824 106792 500496", "n_discr_factors": "9", "c3": null, "operator": "4 14 0 0 0 0 1 -2 -9 -16 -14 -13 -148 -324 -265 -88 33 4160 8178 6403 2362 217 -720 -12420 -16178 -8268 -1354 -301320 -347460 -139320 -15192 1812 1075344 1423392 707964 149208 7580 2089856 429576 -743540 -356680 -38540 -16415360 -13330608 -3329000 -85088 47256 38564800 42511200 16637888 2569088 94304 -22811520 -46255680 -25443520 -5430528 -391808 -152957952 -87598848 -8937408 2572416 433728 468006912 362723328 100967040 11593728 427392 -735436800 -617932800 -194116608 -27039744 -1410048 497664000 406425600 123586560 16588800 829440", "new_number": "14.1", "id": 380, "operator_tex": "\\theta^4-x\\left(13\\theta^4+14\\theta^3+16\\theta^2+9\\theta+2\\right)+x^{2}\\left(33\\theta^4-88\\theta^3-265\\theta^2-324\\theta-148\\right)+x^{3}\\left(217\\theta^4+2362\\theta^3+6403\\theta^2+8178\\theta+4160\\right)-2 x^{4}\\left(677\\theta^4+4134\\theta^3+8089\\theta^2+6210\\theta+360\\right)+2^{2} 3 x^{5}\\left(151\\theta^4-1266\\theta^3-11610\\theta^2-28955\\theta-25110\\right)+2^{2} x^{6}\\left(1895\\theta^4+37302\\theta^3+176991\\theta^2+355848\\theta+268836\\right)-2^{2} x^{7}\\left(9635\\theta^4+89170\\theta^3+185885\\theta^2-107394\\theta-522464\\right)+2^{3} x^{8}\\left(5907\\theta^4-10636\\theta^3-416125\\theta^2-1666326\\theta-2051920\\right)+2^{5} x^{9}\\left(2947\\theta^4+80284\\theta^3+519934\\theta^2+1328475\\theta+1205150\\right)-2^{6} x^{10}\\left(6122\\theta^4+84852\\theta^3+397555\\theta^2+722745\\theta+356430\\right)+2^{6} 3 x^{11}\\left(2259\\theta^4+13398\\theta^3-46549\\theta^2-456244\\theta-796656\\right)+2^{7} 3^{2} x^{12}(\\theta+4)(371\\theta^3+8580\\theta^2+53325\\theta+101564)-2^{10} 3^{3} x^{13}(\\theta+4)(\\theta+5)(51\\theta^2+519\\theta+1330)+2^{11} 3^{4} 5 x^{14}(\\theta+4)(\\theta+5)^2(\\theta+6)", "superseek": "0 0", "discriminant": "14 1 -13 33 217 -1354 1812 7580 -38540 47256 94304 -391808 433728 427392 -1410048 829440", "aesz": null, "n_sing_complex": "2", "inst_int": "", "c2h": null, "hash": "a8cf56492aecc07971e82c9104785180", "dim_h": null, "inst": " 0 1/4 0 -1/2 0 28/9 0 -14 0 2223/20", "cleanlist": "True", "n_sing_real": "9", "sol_explicit": "", "n_sing_rational": "9", "n_sing": "11", "laurent": null, "discriminant_tex": "(z-1)(6z-1)(4z-1)(3z+1)(4z+1)(5z-1)(2z+1)^2(2z-1)^2(6z^2-2z+1)^2", "discr_factors": "829440, z+1/4, z-1/4, z-1/6, (z-1/2)^2, (z^2-1/3*z+1/6)^2, z-1, (z+1/2)^2, z-1/5, z+1/3", "dm_basis": null, "q": "0 1 -1 -5 11 26 -99 -146 871 717", "yuk": "1 0 2 0 -30 0 674 0 -7198 0", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/2","im":"0","approx_re":"-0.5","approx_im":"0.0","exponents":["0","0","-1","1"],"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":"-1/4","im":"0","approx_re":"-0.25","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":"1/6","im":"-1/6*5^(1/2)","approx_re":"0.166666666667","approx_im":"-0.372678","exponents":["0","1","3","4"],"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":"1/6","im":"1/6*5^(1/2)","approx_re":"0.166666666667","approx_im":"0.372678","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"1/5","im":"0","approx_re":"0.2","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/4","im":"0","approx_re":"0.25","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","0","-1","1"],"monodromy":[],"monodromy_dm":[]},{"re":"1","im":"0","approx_re":"1.0","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":["4","5","5","6"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[1849*X^4, -3698-75250*X^3-61662*X^2-24037*X-35690*X^4, -1342738*X^3-368510-1383525*X-354697*X^4-2007703*X^2, -2348230-6951423*X-774028*X^4-3928308*X^3-7763518*X^2, -8994645*X-8960520*X^2-666345*X^4-3960420*X^3-3321450, -450*(X+2)*(X+1)*(533*X^2+1694*X+1290), -3375*(3*X+5)*(3*X+4)*(X+2)*(X+1)]", "text": "This is operator \"6.26\" from ...", "degz": 6, "h3": null, "sol": "1 2 26 344 5650 101692 1961504 39693712 832924978 17976759860", "n_discr_factors": "4", "c3": null, "operator": "4 6 0 0 0 0 1849 -3698 -24037 -61662 -75250 -35690 -368510 -1383525 -2007703 -1342738 -354697 -2348230 -6951423 -7763518 -3928308 -774028 -3321450 -8994645 -8960520 -3960420 -666345 -1161000 -3266100 -3347100 -1481850 -239850 -135000 -384750 -401625 -182250 -30375", "new_number": "6.26", "id": 410, "operator_tex": "43^{2} \\theta^4-43 x\\left(830\\theta^4+1750\\theta^3+1434\\theta^2+559\\theta+86\\right)-x^{2}\\left(1342738\\theta^3+368510+1383525\\theta+354697\\theta^4+2007703\\theta^2\\right)-x^{3}\\left(2348230+6951423\\theta+774028\\theta^4+3928308\\theta^3+7763518\\theta^2\\right)-3 5 x^{4}\\left(44423\\theta^4+264028\\theta^3+597368\\theta^2+599643\\theta+221430\\right)-2 3^{2} 5^{2} x^{5}(\\theta+2)(\\theta+1)(533\\theta^2+1694\\theta+1290)-3^{3} 5^{3} x^{6}(3\\theta+5)(3\\theta+4)(\\theta+2)(\\theta+1)", "superseek": "58/43 1024/43", "discriminant": "6 1849 -35690 -354697 -774028 -666345 -239850 -30375", "aesz": null, "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "38ef7a13fad0ecbb53ba25dafe26b113", "dim_h": null, "inst": " 58/43 211/43 1024/43 7544/43 64880/43 642512/43 6932348/43 80121364/43 974406940/43 12346791976/43", "cleanlist": "True", "n_sing_real": "5", "sol_explicit": "", "n_sing_rational": "5", "n_sing": "5", "laurent": null, "discriminant_tex": "-(5z+1)(27z-1)(15z+43)^2(z+1)^2", "discr_factors": "-30375, z+1/5, (z+43/15)^2, z-1/27, (z+1)^2", "dm_basis": null, "q": "0 1 -5 -16 33 -281 -4304 -47369 -595869 -8056056", "yuk": "1 58/43 1746/43 27706/43 484562/43 188606 138811986/43 2377795422/43 41022622930/43 710342686966/43", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-43/15","im":"0","approx_re":"-2.86666666667","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"-1","im":"0","approx_re":"-1.0","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/5","im":"0","approx_re":"-0.2","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":"1/27","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":["1","4/3","5/3","2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[6561*X^4, -13122-72171*X-159975*X^2-175608*X^3-99954*X^4, -428004-1521180*X-2033921*X^2-1177556*X^3-205589*X^4, 2310517*X^4+12882402*X^3+26939429*X^2+25052328*X+8683524, -32579600-84939800*X-80445300*X^2-33268700*X^3-5152600*X^4, 2500*(X+1)*(1593*X^3+8667*X^2+15104*X+8516), -250000*(X+2)*(X+1)*(2*X+3)^2]", "text": "This is operator \"6.9\" from ...", "degz": 6, "h3": "162", "sol": "1 2 14 104 1030 10852 124424 1489168 18523558 236834780", "n_discr_factors": "3", "c3": "-88", "operator": "4 6 0 0 0 0 6561 -13122 -72171 -159975 -175608 -99954 -428004 -1521180 -2033921 -1177556 -205589 8683524 25052328 26939429 12882402 2310517 -32579600 -84939800 -80445300 -33268700 -5152600 21290000 59050000 59427500 25650000 3982500 -4500000 -12750000 -13250000 -6000000 -1000000", "new_number": "6.9", "id": 431, "operator_tex": "3^{8} \\theta^4-3^{4} x\\left(1234\\theta^4+2168\\theta^3+1975\\theta^2+891\\theta+162\\right)-x^{2}\\left(428004+1521180\\theta+2033921\\theta^2+1177556\\theta^3+205589\\theta^4\\right)+x^{3}\\left(2310517\\theta^4+12882402\\theta^3+26939429\\theta^2+25052328\\theta+8683524\\right)-2^{2} 5^{2} x^{4}\\left(51526\\theta^4+332687\\theta^3+804453\\theta^2+849398\\theta+325796\\right)+2^{2} 5^{4} x^{5}(\\theta+1)(1593\\theta^3+8667\\theta^2+15104\\theta+8516)-2^{4} 5^{6} x^{6}(\\theta+2)(\\theta+1)(2\\theta+3)^2", "superseek": "31/81 29/9", "discriminant": "6 6561 -99954 -205589 2310517 -5152600 3982500 -1000000", "aesz": null, "n_sing_complex": "2", "inst_int": "", "c2h": "132", "hash": "98af5121f39c27098356e3ade277f975", "dim_h": "38", "inst": " 31/81 40/27 29/9 1532/81 6551/81 42442/81 250475/81 588796/27 12225961/81 91935268/81", "cleanlist": "True", "n_sing_real": "4", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "6", "laurent": null, "discriminant_tex": "-(16z-1)(25z^3-17z^2+2z+1)(-81+50z)^2", "discr_factors": "-1000000, z^3-17/25*z^2+2/25*z+1/25, (-81/50+z)^2, z-1/16", "dm_basis": null, "q": "0 1 -3 -7 27 -119 -173 -1634 -13683 -110258", "yuk": "1 31/81 991/81 7078/81 33013/27 818906/81 9175510/81 9545884/9 100498855/9 8912732647/81", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/150*(58796+6900*69^(1/2))^(1/3)-278/75/(58796+6900*69^(1/2))^(1/3)+17/75","im":"0","approx_re":"-0.17455","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":"1/16","im":"0","approx_re":"0.0625","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/300*(58796+6900*69^(1/2))^(1/3)+139/75/(58796+6900*69^(1/2))^(1/3)+17/75","im":"1/2*3^(1/2)*(-1/150*(58796+6900*69^(1/2))^(1/3)+278/75/(58796+6900*69^(1/2))^(1/3))","approx_re":"0.427275","approx_im":"-0.215865","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/300*(58796+6900*69^(1/2))^(1/3)+139/75/(58796+6900*69^(1/2))^(1/3)+17/75","im":"-1/2*3^(1/2)*(-1/150*(58796+6900*69^(1/2))^(1/3)+278/75/(58796+6900*69^(1/2))^(1/3))","approx_re":"0.427275","approx_im":"0.215865","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"81/50","im":"0","approx_re":"1.62","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","3/2","3/2","2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[9*X^4, -18-117*X-300*X^2-366*X^3+15*X^4, -5052-23736*X-41729*X^2-32600*X^3-8603*X^4, -46848-245880*X-489388*X^2-433188*X^3-133216*X^4, -276144-1356992*X-2552500*X^2-2190424*X^3-721604*X^4, -611584-3034560*X-5690672*X^2-4779920*X^3-1518944*X^4, -111424-1102656*X-3047248*X^2-3267456*X^3-1172656*X^4, -66816-330624*X-692736*X^2-724224*X^3-311424*X^4, -9216*(X+1)^4]", "text": "This operator has a second MUM-point at infininty corresponding to operator 8.34", "degz": 8, "h3": null, "sol": "1 2 46 632 16846 371252 10387504 276173312 8072876494 234674601932", "n_discr_factors": "2", "c3": null, "operator": "4 8 0 0 0 0 9 -18 -117 -300 -366 15 -5052 -23736 -41729 -32600 -8603 -46848 -245880 -489388 -433188 -133216 -276144 -1356992 -2552500 -2190424 -721604 -611584 -3034560 -5690672 -4779920 -1518944 -111424 -1102656 -3047248 -3267456 -1172656 -66816 -330624 -692736 -724224 -311424 -9216 -36864 -55296 -36864 -9216", "new_number": "8.33", "id": 478, "operator_tex": "3^{2} \\theta^4+3 x\\left(5\\theta^4-122\\theta^3-100\\theta^2-39\\theta-6\\right)-x^{2}\\left(5052+23736\\theta+41729\\theta^2+32600\\theta^3+8603\\theta^4\\right)-2^{2} x^{3}\\left(33304\\theta^4+108297\\theta^3+122347\\theta^2+61470\\theta+11712\\right)-2^{2} x^{4}\\left(180401\\theta^4+547606\\theta^3+638125\\theta^2+339248\\theta+69036\\right)-2^{4} x^{5}\\left(94934\\theta^4+298745\\theta^3+355667\\theta^2+189660\\theta+38224\\right)-2^{4} x^{6}\\left(73291\\theta^4+204216\\theta^3+190453\\theta^2+68916\\theta+6964\\right)-2^{7} 3 x^{7}\\left(811\\theta^4+1886\\theta^3+1804\\theta^2+861\\theta+174\\right)-2^{10} 3^{2} x^{8}\\left((\\theta+1)^4\\right)", "superseek": "4/3 95/3", "discriminant": "8 9 15 -8603 -133216 -721604 -1518944 -1172656 -311424 -9216", "aesz": "322", "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "a19da26bf1a7748e3b7e6151e803da30", "dim_h": null, "inst": " 4/3 18 95/3 14575/12 18158/3 187103 4924031/3 527352805/12 1590965963/3 39385718023/3", "cleanlist": "True", "n_sing_real": "7", "sol_explicit": "", "n_sing_rational": "1", "n_sing": "7", "laurent": null, "discriminant_tex": "-(-1+13z+827z^2+1928z^3+64z^4)(3+22z+12z^2)^2", "discr_factors": "-9216, (1/4+11/6*z+z^2)^2, -1/64+13/64*z+827/64*z^2+241/8*z^3+z^4", "dm_basis": null, "q": "0 1 -5 -77 461 -3514 -11817 -693433 -4229517 -222501606", "yuk": "1 4/3 436/3 2569/3 233636/3 2269754/3 121245745/3 562980879 67501392676/3 1159814189596/3", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-11/12-1/12*85^(1/2)","im":"0","approx_re":"-1.684962","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"-11/12+1/12*85^(1/2)","im":"0","approx_re":"-0.148371","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":"#ND","im":"#ND","approx_re":"#ND","approx_im":"#ND","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1","1","1","1"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[25*X^4, -995*X^4-1030*X^3-840*X^2-325*X-50, 3919*X^4-12068*X^3-29761*X^2-21850*X-5520, 60320*X^4+176736*X^3+116616*X^2+7560*X-11040, -304816*X^4-1029728*X^3-3095136*X^2-3265328*X-1123744, 587840*X^4+10946432*X^3+27045376*X^2+25031872*X+7990272, -2691648*X^4-9676800*X^3-31082688*X^2-37269504*X-14167296, -23970816*X^4-119605248*X^3-200102400*X^2-140299776*X-35582976, -26873856*(X+1)^4]", "text": "This is operator \"8.63\" from ...", "degz": 8, "h3": null, "sol": "1 2 30 488 9934 219252 5201904 129402240 3338871246 88609731788", "n_discr_factors": "3", "c3": null, "operator": "4 8 0 0 0 0 25 -50 -325 -840 -1030 -995 -5520 -21850 -29761 -12068 3919 -11040 7560 116616 176736 60320 -1123744 -3265328 -3095136 -1029728 -304816 7990272 25031872 27045376 10946432 587840 -14167296 -37269504 -31082688 -9676800 -2691648 -35582976 -140299776 -200102400 -119605248 -23970816 -26873856 -107495424 -161243136 -107495424 -26873856", "new_number": "8.63", "id": 511, "operator_tex": "5^{2} \\theta^4-5 x\\left(199\\theta^4+206\\theta^3+168\\theta^2+65\\theta+10\\right)+x^{2}\\left(3919\\theta^4-12068\\theta^3-29761\\theta^2-21850\\theta-5520\\right)+2^{3} x^{3}\\left(7540\\theta^4+22092\\theta^3+14577\\theta^2+945\\theta-1380\\right)-2^{4} x^{4}\\left(19051\\theta^4+64358\\theta^3+193446\\theta^2+204083\\theta+70234\\right)+2^{6} x^{5}\\left(9185\\theta^4+171038\\theta^3+422584\\theta^2+391123\\theta+124848\\right)-2^{6} 3^{2} x^{6}\\left(4673\\theta^4+16800\\theta^3+53963\\theta^2+64704\\theta+24596\\right)-2^{9} 3^{4} x^{7}\\left(578\\theta^4+2884\\theta^3+4825\\theta^2+3383\\theta+858\\right)-2^{12} 3^{8} x^{8}\\left((\\theta+1)^4\\right)", "superseek": "8/5 67", "discriminant": "8 25 -995 3919 60320 -304816 587840 -2691648 -23970816 -26873856", "aesz": null, "n_sing_complex": "2", "inst_int": "", "c2h": null, "hash": "2c5f91dca73abc39f5d6eb00b9c4ea16", "dim_h": null, "inst": " 8/5 101/10 67 6197/10 32978/5 5114699/60 6004279/5 181646353/10 288778475 23931403561/5", "cleanlist": "True", "n_sing_real": "5", "sol_explicit": "", "n_sing_rational": "2", "n_sing": "7", "laurent": null, "discriminant_tex": "-(8z+1)(648z^3-79z^2+35z-1)(-5+32z+72z^2)^2", "discr_factors": "-26873856, z^3-79/648*z^2+35/648*z-1/648, z+1/8, (-5/72+4/9*z+z^2)^2", "dm_basis": null, "q": "0 1 -5 -33 -71 -1110 -13629 -270585 -4687185 -81808146", "yuk": "1 8/5 412/5 9053/5 198716/5 4122258/5 92074039/5 411893541 46501665084/5 1052597550428/5", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-2/9-1/36*154^(1/2)","im":"0","approx_re":"-0.566935","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/8","im":"0","approx_re":"-0.125","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":"-1/1944*(1900997+2916*28181793^(1/2))^(1/3)+61799/1944/(1900997+2916*28181793^(1/2))^(1/3)+79/1944","im":"0","approx_re":"0.030113","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/3888*(1900997+2916*28181793^(1/2))^(1/3)-61799/3888/(1900997+2916*28181793^(1/2))^(1/3)+79/1944","im":"1/2*3^(1/2)*(-1/1944*(1900997+2916*28181793^(1/2))^(1/3)-61799/1944/(1900997+2916*28181793^(1/2))^(1/3))","approx_re":"0.0459","approx_im":"-0.221678","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/3888*(1900997+2916*28181793^(1/2))^(1/3)-61799/3888/(1900997+2916*28181793^(1/2))^(1/3)+79/1944","im":"-1/2*3^(1/2)*(-1/1944*(1900997+2916*28181793^(1/2))^(1/3)-61799/1944/(1900997+2916*28181793^(1/2))^(1/3))","approx_re":"0.0459","approx_im":"0.221678","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-2/9+1/36*154^(1/2)","im":"0","approx_re":"0.122491","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","1","1","1"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[27*X^4, -459*X^4-1494*X^3-1134*X^2-387*X-54, -25695*X^4+15204*X^3+13137*X^2-15942*X-11088, 777736*X^4+684752*X^3+8336*X^2+1008520*X+682080, 2712240*X^4-823200*X^3+57764960*X^2+35666224*X+6024864, -3458155072*X^4-244315776*X^3-1473691520*X^2-1185556800*X-337231104, 3631716928*X^4-3772622848*X^3-582420288*X^2-6849187840*X-6092600064, 33551836672*X^4+219565689856*X^3+382787585024*X^2+438011182592*X+212883123200, -918965080064*X^4-2313307324416*X^3-3304453283840*X^2-2364431278080*X-668547985408, 3758670544896*X^4-13191506558976*X^3-52432732160000*X^2-78353568235520*X-41411452239872, 58086265454592*X^4+459745756446720*X^3+1169954558181376*X^2+1386842900922368*X+633342519410688, -623072352665600*X^4-2936628439941120*X^3-5338349808123904*X^2-3980806242435072*X-818759356907520, 174180083433472*X^4-10719066113179648*X^3-57384715685986304*X^2-102870942241259520*X-62307967860473856, 22777847147921408*X^4+219142812128509952*X^3+759935863567155200*X^2+1115686941153558528*X+598052754820169728, -83054222144176128*X^4-720545978687422464*X^3-210470162908839936*X^2-2391811523434512384*X-921480198581387264, -148544398869659648*X^4-1937292999415300096*X^3-10278468789347549184*X^2-21568418680598953984*X-14903066690647490560, 833579072557678592*X^4+12229326876031582208*X^3+61835770472735703040*X^2+119611004234481270784*X+77786759284677148672, 1329611923678822400*X^4-752013176840650752*X^3-53642295996772777984*X^2-137879820251342831616*X-98794488109545291776, -1869477630474977280*X^4-3384877332433993728*X^3+32601249839279243264*X^2+70617471300052975616*X+38860167003835990016, -26039742676712030208*X^4-25397346411114135552*X^3-707433310766705410048*X^2-606105978325566488576*X-47557695405683638272, 30203953850913652736*X^4+372749430358573842432*X^3+1010117426972509339648*X^2+958751621422535147520*X+257337653032787116032, 42239260905107881984*X^4+145304138377481682944*X^3+140134006005260353536*X^2+67346828827698397184*X+82436139379203244032, 128965078929381523456*X^4+919454899923960463360*X^3+2202674548949890629632*X^2+2272876659941341921280*X+899260759194831159296, -353802786726226165760*X^4-2157404365495562403840*X^3-4973415140497786142720*X^2-5142750486486916792320*X-2015450905240844369920, 28823037615171174400*(X+2)^4]", "text": "This is operator \"24.2\" from ...", "degz": 24, "h3": null, "sol": "1 2 42 184 2282 5628 96239312/729 55855548348032/1750329 1644342801196751/1750329 18880077162689759486/546852789", "n_discr_factors": "1", "c3": null, "operator": "4 24 0 0 0 0 27 -54 -387 -1134 -1494 -459 -11088 -15942 13137 15204 -25695 682080 1008520 8336 684752 777736 6024864 35666224 57764960 -823200 2712240 -337231104 -1185556800 -1473691520 -244315776 -3458155072 -6092600064 -6849187840 -582420288 -3772622848 3631716928 212883123200 438011182592 382787585024 219565689856 33551836672 -668547985408 -2364431278080 -3304453283840 -2313307324416 -918965080064 -41411452239872 -78353568235520 -52432732160000 -13191506558976 3758670544896 633342519410688 1386842900922368 1169954558181376 459745756446720 58086265454592 -818759356907520 -3980806242435072 -5338349808123904 -2936628439941120 -623072352665600 -62307967860473856 -102870942241259520 -57384715685986304 -10719066113179648 174180083433472 598052754820169728 1115686941153558528 759935863567155200 219142812128509952 22777847147921408 -921480198581387264 -2391811523434512384 -210470162908839936 -720545978687422464 -83054222144176128 -14903066690647490560 -21568418680598953984 -10278468789347549184 -1937292999415300096 -148544398869659648 77786759284677148672 119611004234481270784 61835770472735703040 12229326876031582208 833579072557678592 -98794488109545291776 -137879820251342831616 -53642295996772777984 -752013176840650752 1329611923678822400 38860167003835990016 70617471300052975616 32601249839279243264 -3384877332433993728 -1869477630474977280 -47557695405683638272 -606105978325566488576 -707433310766705410048 -25397346411114135552 -26039742676712030208 257337653032787116032 958751621422535147520 1010117426972509339648 372749430358573842432 30203953850913652736 82436139379203244032 67346828827698397184 140134006005260353536 145304138377481682944 42239260905107881984 899260759194831159296 2272876659941341921280 2202674548949890629632 919454899923960463360 128965078929381523456 -2015450905240844369920 -5142750486486916792320 -4973415140497786142720 -2157404365495562403840 -353802786726226165760 461168601842738790400 922337203685477580800 691752902764108185600 230584300921369395200 28823037615171174400", "new_number": "24.2", "id": 594, "operator_tex": "3^{3} \\theta^4-3^{2} x\\left(51\\theta^4+166\\theta^3+126\\theta^2+43\\theta+6\\right)-3 x^{2}\\left(8565\\theta^4-5068\\theta^3-4379\\theta^2+5314\\theta+3696\\right)+2^{3} 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x^{12}\\left(10381942\\theta^4-638906128\\theta^3-3420395594\\theta^2-6131585970\\theta-3713844291\\right)+2^{27} x^{13}\\left(169708186\\theta^4+1632741184\\theta^3+5661963400\\theta^2+8312515476\\theta+4455840251\\right)-2^{30} x^{14}\\left(77350272\\theta^4+671060736\\theta^3+196015614\\theta^2+2227548066\\theta+858195311\\right)-2^{33} x^{15}\\left(17292844\\theta^4+225530588\\theta^3+1196571252\\theta^2+2510894402\\theta+1734945305\\right)+2^{36} x^{16}\\left(12130172\\theta^4+177960128\\theta^3+899828890\\theta^2+1740569194\\theta+1131946327\\right)+2^{39} x^{17}\\left(2418550\\theta^4-1367904\\theta^3-97574768\\theta^2-250801932\\theta-179706127\\right)-2^{42} x^{18}\\left(425070\\theta^4+769632\\theta^3-7412666\\theta^2-16056554\\theta-8835779\\right)-2^{45} x^{19}\\left(740094\\theta^4+721836\\theta^3+20106464\\theta^2+17226568\\theta+1351671\\right)+2^{48} x^{20}\\left(107306\\theta^4+1324272\\theta^3+3588658\\theta^2+3406170\\theta+914247\\right)+2^{51} x^{21}\\left(18758\\theta^4+64528\\theta^3+62232\\theta^2+29908\\theta+36609\\right)+2^{54} x^{22}\\left(7159\\theta^4+51040\\theta^3+122273\\theta^2+126170\\theta+49919\\right)-2^{57} 5 x^{23}\\left(491\\theta^4+2994\\theta^3+6902\\theta^2+7137\\theta+2797\\right)+2^{60} 5^{2} x^{24}\\left((\\theta+2)^4\\right)", "superseek": "14/3 13813/81", "discriminant": "24 27 -459 -25695 777736 2712240 -3458155072 3631716928 33551836672 -918965080064 3758670544896 58086265454592 -623072352665600 174180083433472 22777847147921408 -83054222144176128 -148544398869659648 833579072557678592 1329611923678822400 -1869477630474977280 -26039742676712030208 30203953850913652736 42239260905107881984 128965078929381523456 -353802786726226165760 28823037615171174400", "aesz": null, "n_sing_complex": null, "inst_int": null, "c2h": null, "hash": "41744bc2b21cfd322eaaeeef9708f32d", "dim_h": null, "inst": " 14/3 -337/18 13813/81 -928499/486 16107365/729 272283275/1458 68612702703770116/16209796869 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-459/28823037615171174400*z+7159/1600*z^22-491/40*z^23+z^24+56745577/450359962737049600*z^6+65530931/56294995342131200*z^7-224356709/7036874417766400*z^8+57352761/439804651110400*z^9+110790759/54975581388800*z^10+3032543/104857600*z^16+48371/1048576*z^17-5139/5764607523034234880*z^2+97217/3602879701896396800*z^3+33903/360287970189639680*z^4-54033673/450359962737049600*z^5-42507/655360*z^18-5942081/274877906944*z^11+5190971/858993459200*z^12+84854093/107374182400*z^13-604299/209715200*z^14-4323211/838860800*z^15-370047/409600*z^19+53653/51200*z^20+9379/6400*z^21+27/28823037615171174400", "dm_basis": null, "q": "0 1 -19/3 80/3 -11681/81 789211/243 -57890 -1191745606/6561 -17712191469704105/330812181 148685137693504075/147027636", "yuk": "1 14/3 -1306/9 4609 -29747230/243 2013424027/729 1089253499/27 68612702924311570/47258883 9526251129572753248/141776649 -153019588718406891941441/53591573322", "gv2": null, "gv0": null, "gv1": null}, {"pols": "[25*X^4, -2315*X^4-2710*X^3-1880*X^2-525*X-50, 38911*X^4+143068*X^3+96911*X^2-8410*X-16240, 1495240*X^4+651024*X^3+710304*X^2+2883480*X+1747040, -27268336*X^4-152661728*X^3-227702240*X^2-218717296*X-91699488, -960725568*X^4+925173120*X^3+4130417408*X^2+579332416*X-459932928, 13210153920*X^4+65304655872*X^3+50277261632*X^2+99566426112*X+60882936576, 357506946560*X^4-83634381824*X^3-675240312832*X^2-914117936640*X-626790059008, -2875356246016*X^4-23085843349504*X^3-13258715045888*X^2-21764887224320*X-12079764475904, -94234661421056*X^4-51640908644352*X^3-201171829260288*X^2-64024976818176*X+60818679562240, 322368522682368*X^4+3484948742799360*X^3+5468948413284352*X^2+5865712284860416*X+2334376228290560, 14623297287225344*X^4+37352796185427968*X^3+77268547574693888*X^2+73268605835280384*X+26169168325771264, -792921393594368*X^4-198981327658156032*X^3-541689787896037376*X^2-680752125591945216*X-317310461831806976, 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302832734993507155968*X^4+1260564291100442886144*X^3+785585963950325891072*X^2-1835560810575017541632*X-1822134735660895961088, 196073216976829284352*X^4-122515924262986973184*X^3-1650226989859606626304*X^2-2053371214103303946240*X-548774873594163363840, 844533016523024891904*X^4+3390886260236812812288*X^3+4783093020245108981760*X^2+2851210909689751535616*X+710073546048251363328, -284051035697511923712*X^4-1693929920643609919488*X^3-3813287876487146373120*X^2-3837931573648117727232*X-1456572205882675298304, 31128880624384868352*(X+2)^4]", "text": "This is operator \"24.7\" from ...", "degz": 24, "h3": null, "sol": "1 2 78 1480 50702 1771572 66301264 2557950080 101452545486 4115767093324", "n_discr_factors": "6", "c3": null, "operator": "4 24 0 0 0 0 25 -50 -525 -1880 -2710 -2315 -16240 -8410 96911 143068 38911 1747040 2883480 710304 651024 1495240 -91699488 -218717296 -227702240 -152661728 -27268336 -459932928 579332416 4130417408 925173120 -960725568 60882936576 99566426112 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4182685819482398523392 3579988014941635346432 12716025698066628608 150323049417976840192 -2263238125507978461184 -1838892902553225265152 1000224364393408757760 1235617339836437889024 229911355824705372160 -4759971715680049299456 -688346774070932537344 6836367829168889528320 4602571295731543441408 718798074057630679040 -1822134735660895961088 -1835560810575017541632 785585963950325891072 1260564291100442886144 302832734993507155968 -548774873594163363840 -2053371214103303946240 -1650226989859606626304 -122515924262986973184 196073216976829284352 710073546048251363328 2851210909689751535616 4783093020245108981760 3390886260236812812288 844533016523024891904 -1456572205882675298304 -3837931573648117727232 -3813287876487146373120 -1693929920643609919488 -284051035697511923712 498062089990157893632 996124179980315787264 747093134985236840448 249031044995078946816 31128880624384868352", "new_number": "24.7", "id": 599, "operator_tex": "5^{2} \\theta^4-5 x\\left(463\\theta^4+542\\theta^3+376\\theta^2+105\\theta+10\\right)+x^{2}\\left(38911\\theta^4+143068\\theta^3+96911\\theta^2-8410\\theta-16240\\right)+2^{3} x^{3}\\left(186905\\theta^4+81378\\theta^3+88788\\theta^2+360435\\theta+218380\\right)-2^{4} x^{4}\\left(1704271\\theta^4+9541358\\theta^3+14231390\\theta^2+13669831\\theta+5731218\\right)-2^{6} x^{5}\\left(15011337\\theta^4-14455830\\theta^3-64537772\\theta^2-9052069\\theta+7186452\\right)+2^{6} x^{6}\\left(206408655\\theta^4+1020385248\\theta^3+785582213\\theta^2+1555725408\\theta+951295884\\right)+2^{9} x^{7}\\left(698255755\\theta^4-163348402\\theta^3-1318828736\\theta^2-1785386595\\theta-1224199334\\right)-2^{12} x^{8}\\left(701991271\\theta^4+5636192224\\theta^3+3236990978\\theta^2+5313693170\\theta+2949161249\\right)-2^{15} x^{9}\\left(2875813642\\theta^4+1575955464\\theta^3+6139277016\\theta^2+1953887232\\theta-1856038805\\right)+2^{18} x^{10}\\left(1229738322\\theta^4+13294024440\\theta^3+20862382558\\theta^2+22375916614\\theta+8904938615\\right)+2^{21} x^{11}\\left(6972931522\\theta^4+17811201184\\theta^3+36844514644\\theta^2+34937193792\\theta+12478431857\\right)-2^{24} x^{12}\\left(47261798\\theta^4+11860211352\\theta^3+32287227386\\theta^2+40575988626\\theta+18913177361\\right)-2^{27} x^{13}\\left(8467877458\\theta^4+45273450632\\theta^3+105769155104\\theta^2+120015813856\\theta+53142585891\\right)-2^{30} x^{14}\\left(2826802128\\theta^4+11976425928\\theta^3+21189010304\\theta^2+18893532010\\theta+6423514809\\right)+2^{33} x^{15}\\left(3487867272\\theta^4+31470146412\\theta^3+100658721788\\theta^2+137189138370\\theta+68860829493\\right)+2^{36} x^{16}\\left(2111185276\\theta^4+19848149672\\theta^3+66367678882\\theta^2+94157446170\\theta+48413530837\\right)+2^{39} x^{17}\\left(273436034\\theta^4+23130316\\theta^3+6511960264\\theta^2+7608261184\\theta+3133380007\\right)+2^{42} x^{18}\\left(52275790\\theta^4+280946856\\theta^3+227424690\\theta^2-418115838\\theta-514600771\\right)+2^{45} x^{19}\\left(20429470\\theta^4+130812944\\theta^3+194301260\\theta^2-19563992\\theta-135286533\\right)+2^{48} x^{20}\\left(1075878\\theta^4+4478424\\theta^3+2790962\\theta^2-6521222\\theta-6473523\\right)+2^{51} x^{21}\\left(87074\\theta^4-54408\\theta^3-732848\\theta^2-911880\\theta-243705\\right)+2^{54} 3 x^{22}\\left(15627\\theta^4+62744\\theta^3+88505\\theta^2+52758\\theta+13139\\right)-2^{57} 3^{2} x^{23}\\left(219\\theta^4+1306\\theta^3+2940\\theta^2+2959\\theta+1123\\right)+2^{60} 3^{3} x^{24}\\left((\\theta+2)^4\\right)", "superseek": "56/5 559/5", "discriminant": "24 25 -2315 38911 1495240 -27268336 -960725568 13210153920 357506946560 -2875356246016 -94234661421056 322368522682368 14623297287225344 -792921393594368 -1136539273395175424 -3035255673005801472 29960551732057473024 145079547459467739136 150323049417976840192 229911355824705372160 718798074057630679040 302832734993507155968 196073216976829284352 844533016523024891904 -284051035697511923712 31128880624384868352", "aesz": null, "n_sing_complex": null, "inst_int": null, "c2h": null, "hash": "336e13908a4135ad95bf2ff2d46bb83a", "dim_h": null, "inst": " 56/5 -71/10 559/5 24361/10 11458/5 37536251/60 4625419 1604072469/10 44494410901/15 305559989371/5", "cleanlist": "True", "n_sing_real": null, "sol_explicit": null, "n_sing_rational": null, "n_sing": null, "laurent": null, "discriminant_tex": "(8z-1)(4096z^6-38912z^5+123264z^4-672z^3-1279z^2+75z-1)(64z^2+8z-1)(8z+1)^2(4096z^5+512z^4+1216z^3+1496z^2+136z+5)^2(24z-1)^3", "discr_factors": "31128880624384868352, (z^5+1/8*z^4+19/64*z^3+187/512*z^2+17/512*z+5/4096)^2, z^6-19/2*z^5+963/32*z^4-21/128*z^3-1279/4096*z^2+75/4096*z-1/4096, z-1/8, z^2+1/8*z-1/64, (z-1/24)^3, (z+1/8)^2", "dm_basis": null, "q": "0 1 -13 63 -383 -15590 207563 -4524729 21912519 -543029714", "yuk": "1 56/5 -228/5 15149/5 779324/5 1432306/5 675667383/5 7932593641/5 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