{"count": 11, "status":"OK", "data":[{"pols": "[X^4, -2*(2*X+1)^2*(17*X^2+17*X+5), 4*(2*X+1)*(X+1)^2*(2*X+3)]", "text": "Hadamard product $I \\ast \\gamma$", "degz": 2, "h3": "24", "sol": "1 10 438 28900 2310070 206389260 19829802300 2005342876680 210655032909750 22787749078623100", "n_discr_factors": "1", "c3": "-116", "operator": "4 2 0 0 0 0 1 -10 -74 -210 -272 -136 12 56 92 64 16", "new_number": "2.53", "id": 48, "operator_tex": "\\theta^4-2 x(2\\theta+1)^2(17\\theta^2+17\\theta+5)+2^{2} x^{2}(2\\theta+1)(\\theta+1)^2(2\\theta+3)", "superseek": "14 10424/3", "discriminant": "2 1 -136 16", "aesz": "29", "n_sing_complex": "0", "inst_int": "", "c2h": "72", "hash": "92e8a038051b3fb8e0cc6ad6a52b8bfb", "dim_h": "10", "inst": " 14 303/2 10424/3 113664 4579068 632241922/3 10640861204 575106521678 98235955748510/3 1942800973152771", "cleanlist": "True", "n_sing_real": "3", "sol_explicit": "", "n_sing_rational": "1", "n_sing": "3", "laurent": null, "discriminant_tex": "1-136z+16z^2", "discr_factors": "16, 1/16-17/2*z+z^2", "dm_basis": ["-116*lambda", "7", "1", "1", "-3", "-12", "-1", "0", "0", "24", "0", "0", "-24", "0", "0", "0"], "q": "0 1 -34 303 -5396 -122185 -7247646 -411600019 -24878258760 -1565584028352", "yuk": "1 14 1226 93830 7275722 572383514 45521513426 3649815392986 294454546374858 23871337246981760", "gv2": null, "gv0": "336 3636 83392 2727936 109897632 5057935376 255380668896 13802556520272 785887645988080 46627223355666504", "gv1": "0 0 0 66 121056 29099400 4233172704 496392888006 51960605375840 5085222689866104 476714409804578496 43409205232304770480 3872757884182127506368 340410931084603171622976 29592091293200835428214720 2550862857452554085533481862 218456411713150420229553031392 18613027853364203337165477519080 1579429134513012615638126828947296", "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","24","1","0","0","0","1","1"]},{"re":"17/4-3*2^(1/2)","im":"0","approx_re":"0.007359","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":["1+116*lambda","0","29/2*lambda","79/6000","3","1","3/8","-29/2*lambda","0","0","1","0","24","0","3","1-116*lambda"],"monodromy_dm":["1","-10","-1","-1","0","1","0","0","0","0","1","0","0","0","0","1"]},{"re":"17/4+3*2^(1/2)","im":"0","approx_re":"8.492641","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":["21.+14.053465106*I","-8.-5.621386042*I","5/2+725/2*lambda","-.337500198-580/3*lambda","75","-29","75/8","-5/2-725/2*lambda","240","-96","31","-8.-5.621386042*I","600+1/1000000000*I","-240","75","-19.-14.053465106*I"],"monodromy_dm":["-49","-370","-35","-25","20","149","14","10","-240","-1776","-167","-120","140","1036","98","71"]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1/2","1","1","3/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -2*(2*X+1)^2*(11*X^2+11*X+5), 500*(2*X+1)*(X+1)^2*(2*X+3)]", "text": "Hadamard product $I \\ast \\eta$", "degz": 2, "h3": null, "sol": "1 10 210 5500 159250 4852260 151466700 4755808200 147797471250 4462410452500", "n_discr_factors": "1", "c3": null, "operator": "4 2 0 0 0 0 1 -10 -62 -150 -176 -88 1500 7000 11500 8000 2000", "new_number": "2.57", "id": 52, "operator_tex": "\\theta^4-2 x(2\\theta+1)^2(11\\theta^2+11\\theta+5)+2^{2} 5^{3} x^{2}(2\\theta+1)(\\theta+1)^2(2\\theta+3)", "superseek": "2 -8", "discriminant": "2 1 -88 2000", "aesz": "184\n", "n_sing_complex": "2", "inst_int": "", "c2h": null, "hash": "ee8bb517b329e58eeb4352dc3cdc3f81", "dim_h": null, "inst": " 2 4 -8 -194 -2820 -30344 -270492 -1455330 8797602 438054080", "cleanlist": "True", "n_sing_real": "1", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "3", "laurent": null, "discriminant_tex": "1-88z+2000z^2", "discr_factors": "2000, 1/2000-11/250*z+z^2", "dm_basis": ["5/6-96920449/100000000*I", "85/3", "11/10", "1", "-20/3", "-60", "-1", "0", "10", "100", "0", "0", "-100", "0", "0", "0"], "q": "0 1 -22 359 -4892 61955 -725338 8256993 -90306968 961834366", "yuk": "1 2 34 -214 -12382 -352498 -6554486 -92778754 -745141342 6413451644", "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","100","1","0","0","0","1","1"]},{"re":"11/500","im":"-1/250","approx_re":"0.022","approx_im":"-0.004","exponents":["0","1","1","2"],"monodromy":[".16666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666667+.969204490*I","-1/12+20*lambda","-1/18+40/3*lambda",".2449129e-2+10/3*lambda","20/3","5/3","4/9","1/18-40/3*lambda","-10","-1","1/3","-1/12+20*lambda","100","10","20/3","1.8333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333-.969204490*I"],"monodromy_dm":["1","-29","-1","-1","0","1","0","0","0","0","1","0","0","0","0","1"]},{"re":"11/500","im":"1/250","approx_re":"0.022","approx_im":"0.004","exponents":["0","1","1","2"],"monodromy":["1.8333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333+.969204490*I","-1/12-20*lambda","1/18+40/3*lambda",".2449129e-2-10/3*lambda","20/3","1/3","4/9","-1/18-40/3*lambda","10","-1","5/3","-1/12-20*lambda","100","-10","20/3",".16666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666667-.969204490*I"],"monodromy_dm":["-2","-41","-6/5","-1","3/5","46/5","6/25","1/5","-36","-492","-67/5","-12","138/5","1886/5","276/25","51/5"]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1/2","1","1","3/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[441*X^4, -69069*X^4-128058*X^3-97545*X^2-33516*X-4410, 154240*X^4-923360*X^3-2137700*X^2-1348200*X-272580, 1706176*X^4+7894656*X^3+6723376*X^2+1861776*X+97440, -1280*(2*X+1)*(1916*X^3+2622*X^2+1077*X+91), -102400*(2*X+1)*(X+1)^2*(2*X+3)]", "text": "This is operator \"5.70\" from ...", "degz": 5, "h3": "21", "sol": "1 10 510 38260 3473470 352297260 38418834300 4409395247400 525660485471550 64530507898499500", "n_discr_factors": "2", "c3": "-104", "operator": "4 5 0 0 0 0 441 -4410 -33516 -97545 -128058 -69069 -272580 -1348200 -2137700 -923360 154240 97440 1861776 6723376 7894656 1706176 -116480 -1611520 -6113280 -9164800 -4904960 -307200 -1433600 -2355200 -1638400 -409600", "new_number": "5.70", "id": 283, "operator_tex": "3^{2} 7^{2} \\theta^4-3 7 x\\left(3289\\theta^4+6098\\theta^3+4645\\theta^2+1596\\theta+210\\right)+2^{2} 5 x^{2}\\left(7712\\theta^4-46168\\theta^3-106885\\theta^2-67410\\theta-13629\\right)+2^{4} x^{3}\\left(106636\\theta^4+493416\\theta^3+420211\\theta^2+116361\\theta+6090\\right)-2^{8} 5 x^{4}(2\\theta+1)(1916\\theta^3+2622\\theta^2+1077\\theta+91)-2^{12} 5^{2} x^{5}(2\\theta+1)(\\theta+1)^2(2\\theta+3)", "superseek": "361/21 120472/21", "discriminant": "5 441 -69069 154240 1706176 -4904960 -409600", "aesz": "287", "n_sing_complex": "3", "inst_int": "", "c2h": "66", "hash": "97932196c46a8712f6dcb11165d698be", "dim_h": "9", "inst": " 361/21 4780/21 120472/21 1537864/7 216261320/21 551815860 227115423676/7 42888879100432/21 2844347183044252/21 28081588564888700/3", "cleanlist": "True", "n_sing_real": "2", "sol_explicit": "", "n_sing_rational": "2", "n_sing": "5", "laurent": null, "discriminant_tex": "-(64z^3+800z^2+149z-1)(-21+80z)^2", "discr_factors": "-409600, z^3+25/2*z^2+149/64*z-1/64, (-21/80+z)^2", "dm_basis": null, "q": "0 1 -36 176 -3368 -308928 -16116704 -1091407860 -76859141872 -5629218172992", "yuk": "1 361/21 12867/7 3253105/21 14062309 27032665361/21 834346677435/7 233701770962965/21 21959106394729673/21 2073529096442512813/21", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/48*(-932842+2607*I*237^(1/2))^(1/3)-9553/48/(-932842+2607*I*237^(1/2))^(1/3)-25/6+1/2*I*3^(1/2)*(1/24*(-932842+2607*I*237^(1/2))^(1/3)-9553/24/(-932842+2607*I*237^(1/2))^(1/3))","im":"0","approx_re":"-12.310784","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/48*(-932842+2607*I*237^(1/2))^(1/3)-9553/48/(-932842+2607*I*237^(1/2))^(1/3)-25/6-1/2*I*3^(1/2)*(1/24*(-932842+2607*I*237^(1/2))^(1/3)-9553/24/(-932842+2607*I*237^(1/2))^(1/3))","im":"0","approx_re":"-0.195701","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":"1/24*(-932842+2607*I*237^(1/2))^(1/3)+9553/24/(-932842+2607*I*237^(1/2))^(1/3)-25/6","im":"0","approx_re":"0.006485","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"21/80","im":"0","approx_re":"0.2625","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","1","1","3/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[121*X^4, -18403*X^4-33506*X^3-25707*X^2-8954*X-1210, 192470*X^4+282980*X^3+132850*X^2+34540*X+6600, -669988*X^4-983928*X^3-909804*X^2-461736*X-91872, 815800*X^4+2054000*X^3+2285400*X^2+1245200*X+268000, -20000*(4*X+3)*(X+1)^2*(4*X+5)]", "text": "This is operator \"5.79\" from ...", "degz": 5, "h3": "132", "sol": "1 10 450 30772 2551810 236608260 23596946100 2477211489000 270152941907970 30340326488101300", "n_discr_factors": "3", "c3": "-516", "operator": "4 5 0 0 0 0 121 -1210 -8954 -25707 -33506 -18403 6600 34540 132850 282980 192470 -91872 -461736 -909804 -983928 -669988 268000 1245200 2285400 2054000 815800 -300000 -1240000 -1900000 -1280000 -320000", "new_number": "5.79", "id": 292, "operator_tex": "11^{2} \\theta^4-11 x\\left(1673\\theta^4+3046\\theta^3+2337\\theta^2+814\\theta+110\\right)+2 5 x^{2}\\left(19247\\theta^4+28298\\theta^3+13285\\theta^2+3454\\theta+660\\right)-2^{2} x^{3}\\left(167497\\theta^4+245982\\theta^3+227451\\theta^2+115434\\theta+22968\\right)+2^{3} 5^{2} x^{4}\\left(4079\\theta^4+10270\\theta^3+11427\\theta^2+6226\\theta+1340\\right)-2^{5} 5^{4} x^{5}(4\\theta+3)(\\theta+1)^2(4\\theta+5)", "superseek": "181/11 47171/11", "discriminant": "5 121 -18403 192470 -669988 815800 -320000", "aesz": "310", "n_sing_complex": "0", "inst_int": "", "c2h": "-48", "hash": "2b9b103b1c8f0d3175cd1fb9ef5aacc2", "dim_h": "18", "inst": " 181/11 2018/11 47171/11 3261479/22 69313270/11 3365244834/11 179297422954/11 10226880863781/11 614573261709111/11 38486025659517390/11", "cleanlist": "True", "n_sing_real": "5", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "5", "laurent": null, "discriminant_tex": "-(z-1)(128z^2-142z+1)(-11+50z)^2", "discr_factors": "-320000, z^2-71/64*z+1/128, z-1, (-11/50+z)^2", "dm_basis": null, "q": "0 1 -34 239 -4824 -174473 -9827854 -593163269 -37812392672 -2510447352650", "yuk": "1 181/11 16325/11 1273798/11 9489423 8664158931/11 726894174086/11 61499016073403/11 5236163106639525/11 448023907787215717/11", "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":"71/128-17/128*17^(1/2)","im":"0","approx_re":"0.007088","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"11/50","im":"0","approx_re":"0.22","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","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"71/128+17/128*17^(1/2)","im":"0","approx_re":"1.102287","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":["3/4","1","1","5/4"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -147*X^2-10-60*X-174*X^3-111*X^4, 18380*X^2+5076*X^4+10888*X+14304*X^3+2556, -112944*X^4-369024*X^3-119984-401628*X-542564*X^2, 7969200*X^2+1990416+6155424*X+5629440*X^3+1676736*X^4, -89513152*X^2-17032896*X^4-67618112*X-60012672*X^3-20803904, 193077248+611573760*X+755942656*X^2+450177024*X^3+122568960*X^4, -4550648064*X^2-1333660160-3960000768*X-2501283840*X^3-607021056*X^4, 6398194688+18093783040*X+19412612096*X^2+9592946688*X^3+1898090496*X^4, -45056*(2*X+3)*(36502*X^3+178659*X^2+286703*X+145866), 594739200*(X+1)*(2*X+5)*(2*X+3)*(X+3)]", "text": "This is operator \"10.8\" from ...", "degz": 10, "h3": null, "sol": "1 10 154 2548 27370 -629180 -62562140 -3052891160 -114482112470 -3396152419100", "n_discr_factors": "4", "c3": null, "operator": "4 10 0 0 0 0 1 -10 -60 -147 -174 -111 2556 10888 18380 14304 5076 -119984 -401628 -542564 -369024 -112944 1990416 6155424 7969200 5629440 1676736 -20803904 -67618112 -89513152 -60012672 -17032896 193077248 611573760 755942656 450177024 122568960 -1333660160 -3960000768 -4550648064 -2501283840 -607021056 6398194688 18093783040 19412612096 9592946688 1898090496 -19716415488 -51897348096 -49984360448 -21033222144 -3289268224 26763264000 64231833600 54121267200 19031654400 2378956800", "new_number": "10.8", "id": 324, "operator_tex": "\\theta^4-x\\left(147\\theta^2+10+60\\theta+174\\theta^3+111\\theta^4\\right)+2^{2} x^{2}\\left(1269\\theta^4+3576\\theta^3+4595\\theta^2+2722\\theta+639\\right)-2^{2} x^{3}\\left(28236\\theta^4+92256\\theta^3+135641\\theta^2+100407\\theta+29996\\right)+2^{4} 3 x^{4}\\left(34932\\theta^4+117280\\theta^3+166025\\theta^2+128238\\theta+41467\\right)-2^{6} x^{5}\\left(266139\\theta^4+937698\\theta^3+1398643\\theta^2+1056533\\theta+325061\\right)+2^{8} x^{6}\\left(478785\\theta^4+1758504\\theta^3+2952901\\theta^2+2388960\\theta+754208\\right)-2^{8} x^{7}\\left(2371176\\theta^4+9770640\\theta^3+17775969\\theta^2+15468753\\theta+5209610\\right)+2^{10} x^{8}\\left(1853604\\theta^4+9368112\\theta^3+18957629\\theta^2+17669710\\theta+6248237\\right)-2^{12} 11 x^{9}(2\\theta+3)(36502\\theta^3+178659\\theta^2+286703\\theta+145866)+2^{16} 3 5^{2} 11^{2} x^{10}(\\theta+1)(2\\theta+5)(2\\theta+3)(\\theta+3)", "superseek": "7 -2044/9", "discriminant": "10 1 -111 5076 -112944 1676736 -17032896 122568960 -607021056 1898090496 -3289268224 2378956800", "aesz": null, "n_sing_complex": "4", "inst_int": "", "c2h": null, "hash": "772d055ae4c1a5d6a65a2b1f3ffa351b", "dim_h": null, "inst": " 7 -31/4 -2044/9 -1380 -8520 1625077/9 5885526 71672646 -85064144/3 -25138098376", "cleanlist": "True", "n_sing_real": "4", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "8", "laurent": null, "discriminant_tex": "(3z-1)(6400z^3-2352z^2+84z-1)(4z-1)^2(88z^2-8z+1)^2", "discr_factors": "2378956800, z-1/3, (z-1/4)^2, (z^2-1/11*z+1/88)^2, z^3-147/400*z^2+21/1600*z-1/6400", "dm_basis": null, "q": "0 1 -20 336 -3940 48068 -537504 4863106 -72753176 674265258", "yuk": "1 7 -55 -6125 -88375 -1064993 38995661 2018735425 36696306377 -20670593117", "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":"-21/800*3^(2/3)-27/800*3^(1/3)+49/400","im":"-1/8*3^(1/2)*(21/100*3^(2/3)-27/100*3^(1/3))","approx_re":"0.019222","approx_im":"-0.010265","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-21/800*3^(2/3)-27/800*3^(1/3)+49/400","im":"1/8*3^(1/2)*(21/100*3^(2/3)-27/100*3^(1/3))","approx_re":"0.019222","approx_im":"0.010265","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/22","im":"-3/44*2^(1/2)","approx_re":"0.0454545454545","approx_im":"-0.096424","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"1/22","im":"3/44*2^(1/2)","approx_re":"0.0454545454545","approx_im":"0.096424","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"1/4","im":"0","approx_re":"0.25","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"21/400*3^(2/3)+27/400*3^(1/3)+49/400","im":"0","approx_re":"0.329056","approx_im":"0.0","exponents":["0","1","1","2"],"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":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1","3/2","5/2","3"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -106*X^4-140*X^3-125*X^2-55*X-10, 2472+4265*X^4+12596*X^3+15925*X^2+9718*X, -195296-467544*X^3-74768*X^4-840944*X^2-642984*X, 83856*X^4+8318688*X^3+23431824*X^2+22106112*X+7771200, -176547456+20897472*X^4-38021568*X^3-352505664*X^2-431668032*X, 2270502912-1313616384*X^3-391995648*X^4+2036996352*X^2+4467165696*X, 2628943872*X^4+28598661120*X^3+19941605376*X^2-10287378432*X-12628795392, -50065072128+14254089216*X^4-235057170432*X^3-431131579392*X^2-284714698752*X, 967588577280+175444328448*X^3-463201460224*X^4+2064314425344*X^2+2573642760192*X, 4632867045376*X^4+14014241964032*X^3+16620846841856*X^2+7969362608128*X+989774086144, -38273024*(X+1)*(680053*X^3+2794143*X^2+4238129*X+2311527), 22351446016*(X+2)*(X+1)*(3707*X^2+13713*X+13693), -117479200260096*(X+1)*(X+2)^2*(X+3)]", "text": "This is operator \"13.16\" from ...", "degz": 13, "h3": null, "sol": "1 10 118 1864 38566 940420 25106320 709108480 20845048870 631743322060", "n_discr_factors": "5", "c3": null, "operator": "4 13 0 0 0 0 1 -10 -55 -125 -140 -106 2472 9718 15925 12596 4265 -195296 -642984 -840944 -467544 -74768 7771200 22106112 23431824 8318688 83856 -176547456 -431668032 -352505664 -38021568 20897472 2270502912 4467165696 2036996352 -1313616384 -391995648 -12628795392 -10287378432 19941605376 28598661120 2628943872 -50065072128 -284714698752 -431131579392 -235057170432 14254089216 967588577280 2573642760192 2064314425344 175444328448 -463201460224 989774086144 7969362608128 16620846841856 14014241964032 4632867045376 -88469128347648 -250675141279744 -269146315030528 -132967986888704 -26027684790272 612116700594176 1531185809326080 1391288108711936 555075810361344 82856810381312 -1409750403121152 -3289417607282688 -2702021605982208 -939833602080768 -117479200260096", "new_number": "13.16", "id": 368, "operator_tex": "\\theta^4-x\\left(106\\theta^4+140\\theta^3+125\\theta^2+55\\theta+10\\right)+x^{2}\\left(2472+4265\\theta^4+12596\\theta^3+15925\\theta^2+9718\\theta\\right)-2^{3} x^{3}\\left(9346\\theta^4+58443\\theta^3+105118\\theta^2+80373\\theta+24412\\right)+2^{4} 3 x^{4}\\left(1747\\theta^4+173306\\theta^3+488163\\theta^2+460544\\theta+161900\\right)+2^{6} 3 x^{5}\\left(108841\\theta^4-198029\\theta^3-1835967\\theta^2-2248271\\theta-919518\\right)-2^{8} 3 x^{6}\\left(510411\\theta^4+1710438\\theta^3-2652339\\theta^2-5816622\\theta-2956384\\right)+2^{12} 3 x^{7}\\left(213944\\theta^4+2327365\\theta^3+1622852\\theta^2-837189\\theta-1027734\\right)+2^{10} 3 x^{8}\\left(4640003\\theta^4-76516006\\theta^3-140342311\\theta^2-92680566\\theta-16297224\\right)-2^{13} x^{9}\\left(56543147\\theta^4-21416544\\theta^3-251991507\\theta^2-314165376\\theta-118113840\\right)+2^{16} x^{10}\\left(70691941\\theta^4+213840362\\theta^3+253613996\\theta^2+121602823\\theta+15102754\\right)-2^{19} 73 x^{11}(\\theta+1)(680053\\theta^3+2794143\\theta^2+4238129\\theta+2311527)+2^{22} 73^{2} x^{12}(\\theta+2)(\\theta+1)(3707\\theta^2+13713\\theta+13693)-2^{25} 3^{2} 73^{3} x^{13}(\\theta+1)(\\theta+2)^2(\\theta+3)", "superseek": "5 581/3", "discriminant": "13 1 -106 4265 -74768 83856 20897472 -391995648 2628943872 14254089216 -463201460224 4632867045376 -26027684790272 82856810381312 -117479200260096", "aesz": null, "n_sing_complex": "6", "inst_int": "", "c2h": null, "hash": "2ab5512d2cfda3cde6ee0ea98a12d6fb", "dim_h": null, "inst": " 5 -53/4 581/3 -1231 19810 -733571/4 3135120 -34295069 612366711 -14786470665/2", "cleanlist": "True", "n_sing_real": "5", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "11", "laurent": null, "discriminant_tex": "-(9z-1)(8z-1)(4672z^3-840z^2+57z-1)(64z^2-8z+1)(1-12z-192z^2+2336z^3)^2", "discr_factors": "-117479200260096, z^2-1/8*z+1/64, z-1/9, (1/2336-3/584*z-6/73*z^2+z^3)^2, z-1/8, z^3-105/584*z^2+57/4672*z-1/4672", "dm_basis": null, "q": "0 1 -15 204 -3329 53781 -910080 15391345 -266886135 4620961179", "yuk": "1 5 -101 5234 -78885 2476255 -39607706 1075346165 -17559154213 446415337553", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-7/292*10^(1/3)-3/292*10^(2/3)+2/73","im":"0","approx_re":"-0.071938","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":"-9/292*3^(1/3)+3/584*3^(2/3)+35/584","im":"0","approx_re":"0.026164","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/16","im":"-1/16*3^(1/2)","approx_re":"0.0625","approx_im":"-0.108253","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/16","im":"1/16*3^(1/2)","approx_re":"0.0625","approx_im":"0.108253","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"9/584*3^(1/3)-3/1168*3^(2/3)+35/584","im":"1/2*3^(1/2)*(-9/292*3^(1/3)-3/584*3^(2/3))","approx_re":"0.076815","approx_im":"-0.047751","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"9/584*3^(1/3)-3/1168*3^(2/3)+35/584","im":"-1/2*3^(1/2)*(-9/292*3^(1/3)-3/584*3^(2/3))","approx_re":"0.076815","approx_im":"0.047751","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"7/584*10^(1/3)+3/584*10^(2/3)+2/73","im":"1/4*3^(1/2)*(-7/146*10^(1/3)+3/146*10^(2/3))","approx_re":"0.077065","approx_im":"-0.003429","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"7/584*10^(1/3)+3/584*10^(2/3)+2/73","im":"-1/4*3^(1/2)*(-7/146*10^(1/3)+3/146*10^(2/3))","approx_re":"0.077065","approx_im":"0.003429","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"1/9","im":"0","approx_re":"0.111111111111","approx_im":"0.0","exponents":["0","1","1","2"],"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":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1","2","2","3"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -33*X^4-258*X^3-199*X^2-70*X-10, -5520*X^4-9600*X^3+692*X^2+2536*X+740, -117200*X^4-42720*X^3+10688*X^2+16560*X+4640, -114816*X^4+448512*X^3+1287424*X^2+1086976*X+311680, 4096*(X+1)^2*(858*X^2+1566*X+745), -3276800*(X+1)^2*(X+2)^2]", "text": "This is operator \"6.12\" from ...", "degz": 6, "h3": null, "sol": "1 10 310 14860 869590 57014860 4024236100 299128325800 23104017380950 1838044630719100", "n_discr_factors": "5", "c3": null, "operator": "4 6 0 0 0 0 1 -10 -70 -199 -258 -33 740 2536 692 -9600 -5520 4640 16560 10688 -42720 -117200 311680 1086976 1287424 448512 -114816 3051520 12517376 19394560 13443072 3514368 -13107200 -39321600 -42598400 -19660800 -3276800", "new_number": "6.12", "id": 395, "operator_tex": "\\theta^4-x\\left(33\\theta^4+258\\theta^3+199\\theta^2+70\\theta+10\\right)-2^{2} x^{2}\\left(1380\\theta^4+2400\\theta^3-173\\theta^2-634\\theta-185\\right)-2^{4} x^{3}\\left(7325\\theta^4+2670\\theta^3-668\\theta^2-1035\\theta-290\\right)-2^{7} x^{4}\\left(897\\theta^4-3504\\theta^3-10058\\theta^2-8492\\theta-2435\\right)+2^{12} x^{5}(\\theta+1)^2(858\\theta^2+1566\\theta+745)-2^{17} 5^{2} x^{6}(\\theta+1)^2(\\theta+2)^2", "superseek": "19 2263", "discriminant": "6 1 -33 -5520 -117200 -114816 3514368 -3276800", "aesz": null, "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "86993fb7955dee498aab7e103a0f457e", "dim_h": null, "inst": " 19 -18 2263 4184 1097345 12217112 965281170 21986059456 1218464045842 39759333040770", "cleanlist": "True", "n_sing_real": "6", "sol_explicit": "", "n_sing_rational": "6", "n_sing": "6", "laurent": null, "discriminant_tex": "-(z-1)(8z+1)(100z-1)(4z-1)(1+32z)^2", "discr_factors": "-3276800, z-1/4, (1/32+z)^2, z+1/8, z-1, z-1/100", "dm_basis": null, "q": "0 1 -30 501 -11632 224526 -7132278 126434290 -5962371648 60699791931", "yuk": "1 19 -125 61120 267651 137168144 2638957168 331091441329 11256862709123 888260289479938", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/8","im":"0","approx_re":"-0.125","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/32","im":"0","approx_re":"-0.03125","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":"1/100","im":"0","approx_re":"0.01","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","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":["1","1","2","2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[121*X^4, -1210-9075*X-26323*X^2-34496*X^3-16687*X^4, -24266-106953*X-202166*X^2-207620*X^3-90362*X^4, -53130-217437*X-415082*X^2-507996*X^3-245714*X^4, -15226-183269*X-564786*X^2-785972*X^3-407863*X^4, -25160-279826*X-728323*X^2-790148*X^3-434831*X^4, -61152-303576*X-586744*X^2-562248*X^3-290888*X^4, -39040-172960*X-310160*X^2-274400*X^3-104560*X^4, -12800*(X+1)^4]", "text": "This operator has a second MUM-point at infinity corresponding to operator 8.27.", "degz": 8, "h3": "22", "sol": "1 10 466 32392 2727826 256793260 25999151200 2770767256960 306741044897170 34970581120268260", "n_discr_factors": "3", "c3": "-84", "operator": "4 8 0 0 0 0 121 -1210 -9075 -26323 -34496 -16687 -24266 -106953 -202166 -207620 -90362 -53130 -217437 -415082 -507996 -245714 -15226 -183269 -564786 -785972 -407863 -25160 -279826 -728323 -790148 -434831 -61152 -303576 -586744 -562248 -290888 -39040 -172960 -310160 -274400 -104560 -12800 -51200 -76800 -51200 -12800", "new_number": "8.26", "id": 470, "operator_tex": "11^{2} \\theta^4-11 x\\left(1517\\theta^4+3136\\theta^3+2393\\theta^2+825\\theta+110\\right)-x^{2}\\left(24266+106953\\theta+202166\\theta^2+207620\\theta^3+90362\\theta^4\\right)-x^{3}\\left(53130+217437\\theta+415082\\theta^2+507996\\theta^3+245714\\theta^4\\right)-x^{4}\\left(15226+183269\\theta+564786\\theta^2+785972\\theta^3+407863\\theta^4\\right)-x^{5}\\left(25160+279826\\theta+728323\\theta^2+790148\\theta^3+434831\\theta^4\\right)-2^{3} x^{6}\\left(36361\\theta^4+70281\\theta^3+73343\\theta^2+37947\\theta+7644\\right)-2^{4} 5 x^{7}\\left(1307\\theta^4+3430\\theta^3+3877\\theta^2+2162\\theta+488\\right)-2^{9} 5^{2} x^{8}\\left((\\theta+1)^4\\right)", "superseek": "193/11 48570/11", "discriminant": "8 121 -16687 -90362 -245714 -407863 -434831 -290888 -104560 -12800", "aesz": "301", "n_sing_complex": "2", "inst_int": "", "c2h": "64", "hash": "a91db18876a9dfbf42b88f8d64c55d85", "dim_h": "9", "inst": " 193/11 1973/11 48570/11 1689283/11 72444183/11 3550769296/11 190951621547/11 10993183799383/11 666771302469817/11 42142859324558057/11", "cleanlist": "True", "n_sing_real": "4", "sol_explicit": "", "n_sing_rational": "2", "n_sing": "6", "laurent": null, "discriminant_tex": "-(-1+143z+32z^2)(z+1)^2(20z^2+17z+11)^2", "discr_factors": "-12800, (z+1)^2, -1/32+143/32*z+z^2, (z^2+17/20*z+11/20)^2", "dm_basis": null, "q": "0 1 -35 279 -5371 -178284 -10060533 -618825298 -39747432347 -2664472529088", "yuk": "1 193/11 15977/11 1311583/11 108130089/11 9055523068/11 766967495303/11 65496406190814/11 5628510213414185/11 486076279501808176/11", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-143/64-19/64*57^(1/2)","im":"0","approx_re":"-4.475732","approx_im":"0.0","exponents":["0","1","1","2"],"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":"-17/40","im":"-1/40*591^(1/2)","approx_re":"-0.425","approx_im":"-0.607762","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"-17/40","im":"1/40*591^(1/2)","approx_re":"-0.425","approx_im":"0.607762","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":"-143/64+19/64*57^(1/2)","im":"0","approx_re":"0.006982","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": "[529*X^4, -46*X^2*(136*X^2+2*X+1), -30356*X^4-219704*X^3-359900*X^2-279312*X-84640, 573259*X^4+2342274*X^3+3791849*X^2+3070914*X+1010160, -1223510*X^4-622660*X^3+7955470*X^2+14044860*X+6697440, -600*(X+1)*(16105*X^3+133047*X^2+320040*X+245740), 18000*(X+1)*(X+2)*(3107*X^2+16911*X+22834), -810000*(X+3)*(X+2)*(X+1)*(133*X+404), 72900000*(X+1)*(X+2)*(X+3)*(X+4)]", "text": "This is operator \"8.50\" from ...", "degz": 8, "h3": null, "sol": "1 0 10 0 270 240 10900 25200 551950 2116800", "n_discr_factors": "6", "c3": null, "operator": "4 8 0 0 0 0 529 0 0 -46 -92 -6256 -84640 -279312 -359900 -219704 -30356 1010160 3070914 3791849 2342274 573259 6697440 14044860 7955470 -622660 -1223510 -147444000 -339468000 -271852200 -89491200 -9663000 822024000 1841832000 1436058000 472176000 55926000 -1963440000 -4246020000 -3148470000 -973620000 -107730000 1749600000 3645000000 2551500000 729000000 72900000", "new_number": "8.50", "id": 497, "operator_tex": "23^{2} \\theta^4-2 23 x\\theta^2(136\\theta^2+2\\theta+1)-2^{2} x^{2}\\left(7589\\theta^4+54926\\theta^3+89975\\theta^2+69828\\theta+21160\\right)+x^{3}\\left(573259\\theta^4+2342274\\theta^3+3791849\\theta^2+3070914\\theta+1010160\\right)-2 5 x^{4}\\left(122351\\theta^4+62266\\theta^3-795547\\theta^2-1404486\\theta-669744\\right)-2^{3} 3 5^{2} x^{5}(\\theta+1)(16105\\theta^3+133047\\theta^2+320040\\theta+245740)+2^{4} 3^{2} 5^{3} x^{6}(\\theta+1)(\\theta+2)(3107\\theta^2+16911\\theta+22834)-2^{4} 3^{4} 5^{4} x^{7}(\\theta+3)(\\theta+2)(\\theta+1)(133\\theta+404)+2^{5} 3^{6} 5^{5} x^{8}(\\theta+1)(\\theta+2)(\\theta+3)(\\theta+4)", "superseek": "2/23 27/23", "discriminant": "8 529 -6256 -30356 573259 -1223510 -9663000 55926000 -107730000 72900000", "aesz": null, "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "68499833fa99ef8841a3d64e042d4a6e", "dim_h": null, "inst": " 2/23 18/23 27/23 136/23 395/23 2042/23 8104/23 46008/23 222465/23 1311410/23", "cleanlist": "True", "n_sing_real": "8", "sol_explicit": "", "n_sing_rational": "6", "n_sing": "8", "laurent": null, "discriminant_tex": "(3z-1)(2z-1)(10z-1)(6z+1)(25z^2-5z-1)(-23+90z)^2", "discr_factors": "72900000, z-1/10, z-1/2, z+1/6, (-23/90+z)^2, z-1/3, z^2-1/5*z-1/25", "dm_basis": null, "q": "0 1 0 -13 -6 95 -140 -1732 -876 -2071", "yuk": "1 2/23 146/23 731/23 8850/23 49377/23 441947/23 2779674/23 23564946/23 162177716/23", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/6","im":"0","approx_re":"-0.166666666667","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/10-1/10*5^(1/2)","im":"0","approx_re":"-0.123607","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":"1/10","im":"0","approx_re":"0.1","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"23/90","im":"0","approx_re":"0.255555555556","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"1/10+1/10*5^(1/2)","im":"0","approx_re":"0.323607","approx_im":"0.0","exponents":["0","1","1","2"],"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","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1","2","3","4"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[25*X^4, -435*X^4-2790*X^3-2720*X^2-1325*X-250, -45889*X^4+29468*X^3+129151*X^2+143110*X+44000, 813880*X^4+2167536*X^3-2247536*X^2-6296280*X-2345120, 25622384*X^4-45590048*X^3-4192032*X^2+200301040*X+96978208, -628948032*X^4-138522240*X^3+1267062016*X^2-3467461312*X-2057993984, -3389853760*X^4+12054054912*X^3-41212870336*X^2+18123368448*X+20156814080, 208353200640*X^4-135627856896*X^3+635768819712*X^2+301979088384*X-18915148800, -1362240106496*X^4+1105018617856*X^3-2706785116160*X^2-4999908630528*X-1770398355456, -22148608098304*X^4-20681611542528*X^3-77124020731904*X^2-4756494876672*X+14550340829184, 409404315271168*X^4+257948804710400*X^3+1558680771756032*X^2+964644354654208*X+229051765358592, -1500990746394624*X^4+1663942338281472*X^3-7009736406859776*X^2-7533422029307904*X-3667307991662592, -23624744737701888*X^4-94742551914872832*X^3-162300299355095040*X^2-145831516365127680*X-51579847654244352, 334655049437282304*X^4+1221823844944183296*X^3+289126684286779392*X^2+3284474453186052096*X+1526704683349966848, -1526003821594017792*X^4-5462522896645619712*X^3-14028686227641729024*X^2-18469388698219708416*X-9893275790940831744, -3999309237766324224*X^4-39304719174356434944*X^3-121644025526574120960*X^2-154448118682604273664*X-72445807997145317376, 94175160760182767616*X^4+746210234294958292992*X^3+2394554128660263075840*X^2+3370634885117094395904*X+1776592416825220792320, -562485890245157978112*X^4-5040492197550539931648*X^3-17650576546192951345152*X^2-26781559264191663046656*X-14974418521571847045120, 1434411038851454730240*X^4+16640642891593908486144*X^3+68614992248278679027712*X^2+115781892440634358235136*X+69643645695271026819072, 1211934492692840448000*X^4-9464015690493830627328*X^3-102696020137255693713408*X^2-237861727513407419056128*X-168809701427300800659456, -18840618201070260191232*X^4-130558355650153216475136*X^3-249874883894309403230208*X^2-110264955022286713257984*X+63227430440113948065792, 43228895398025156886528*X^4+427974928875595606523904*X^3+1286879598342304601997312*X^2+1571368870312356693934080*X+672175343104562735087616, 9573589958277615058944*X^4-218419682011074476900352*X^3-1142802979093657530925056*X^2-1875714477010688283770880*X-1020119196665359204614144, -178707012554515481100288*X^4-1140320937252622593687552*X^3-2825272769909482844061696*X^2-3208216368240587446419456*X-1404126527214050208645120, 204236585776589121257472*(X+2)^4]", "text": "This is operator \"24.5\" from ...", "degz": 24, "h3": null, "sol": "1 10 78 1336 881193/40 32041872931/62500 1023202644277/84375 46005611666227952/144703125 423413628612391371893/49392000000 64894160265112632773371723/270050760000000", "n_discr_factors": "6", "c3": null, "operator": "4 24 0 0 0 0 25 -250 -1325 -2720 -2790 -435 44000 143110 129151 29468 -45889 -2345120 -6296280 -2247536 2167536 813880 96978208 200301040 -4192032 -45590048 25622384 -2057993984 -3467461312 1267062016 -138522240 -628948032 20156814080 18123368448 -41212870336 12054054912 -3389853760 -18915148800 301979088384 635768819712 -135627856896 208353200640 -1770398355456 -4999908630528 -2706785116160 1105018617856 -1362240106496 14550340829184 -4756494876672 -77124020731904 -20681611542528 -22148608098304 229051765358592 964644354654208 1558680771756032 257948804710400 409404315271168 -3667307991662592 -7533422029307904 -7009736406859776 1663942338281472 -1500990746394624 -51579847654244352 -145831516365127680 -162300299355095040 -94742551914872832 -23624744737701888 1526704683349966848 3284474453186052096 289126684286779392 1221823844944183296 334655049437282304 -9893275790940831744 -18469388698219708416 -14028686227641729024 -5462522896645619712 -1526003821594017792 -72445807997145317376 -154448118682604273664 -121644025526574120960 -39304719174356434944 -3999309237766324224 1776592416825220792320 3370634885117094395904 2394554128660263075840 746210234294958292992 94175160760182767616 -14974418521571847045120 -26781559264191663046656 -17650576546192951345152 -5040492197550539931648 -562485890245157978112 69643645695271026819072 115781892440634358235136 68614992248278679027712 16640642891593908486144 1434411038851454730240 -168809701427300800659456 -237861727513407419056128 -102696020137255693713408 -9464015690493830627328 1211934492692840448000 63227430440113948065792 -110264955022286713257984 -249874883894309403230208 -130558355650153216475136 -18840618201070260191232 672175343104562735087616 1571368870312356693934080 1286879598342304601997312 427974928875595606523904 43228895398025156886528 -1020119196665359204614144 -1875714477010688283770880 -1142802979093657530925056 -218419682011074476900352 9573589958277615058944 -1404126527214050208645120 -3208216368240587446419456 -2825272769909482844061696 -1140320937252622593687552 -178707012554515481100288 3267785372425425940119552 6535570744850851880239104 4901678058638138910179328 1633892686212712970059776 204236585776589121257472", "new_number": "24.5", "id": 597, "operator_tex": "5^{2} \\theta^4-5 x\\left(87\\theta^4+558\\theta^3+544\\theta^2+265\\theta+50\\right)-x^{2}\\left(45889\\theta^4-29468\\theta^3-129151\\theta^2-143110\\theta-44000\\right)+2^{3} x^{3}\\left(101735\\theta^4+270942\\theta^3-280942\\theta^2-787035\\theta-293140\\right)+2^{4} x^{4}\\left(1601399\\theta^4-2849378\\theta^3-262002\\theta^2+12518815\\theta+6061138\\right)-2^{6} x^{5}\\left(9827313\\theta^4+2164410\\theta^3-19797844\\theta^2+54179083\\theta+32156156\\right)-2^{6} x^{6}\\left(52966465\\theta^4-188344608\\theta^3+643951099\\theta^2-283177632\\theta-314950220\\right)+2^{9} 3 x^{7}\\left(135646615\\theta^4-88299386\\theta^3+413911992\\theta^2+196600969\\theta-12314550\\right)-2^{12} x^{8}\\left(332578151\\theta^4-269779936\\theta^3+660836210\\theta^2+1220680818\\theta+432226161\\right)-2^{15} x^{9}\\left(675921878\\theta^4+631152696\\theta^3+2353638328\\theta^2+145156704\\theta-444041163\\right)+2^{18} x^{10}\\left(1561753522\\theta^4+983996600\\theta^3+5945895278\\theta^2+3679826182\\theta+873763143\\right)-2^{21} 3 x^{11}\\left(238576054\\theta^4-264476512\\theta^3+1114167596\\theta^2+1197405184\\theta+582902907\\right)-2^{24} 3^{2} x^{12}\\left(156460502\\theta^4+627455128\\theta^3+1074872410\\theta^2+965803970\\theta+341599833\\right)+2^{27} 3^{2} x^{13}\\left(277041602\\theta^4+1011477448\\theta^3+239351296\\theta^2+2719026848\\theta+1263870699\\right)-2^{30} 3^{3} x^{14}\\left(52637104\\theta^4+188421144\\theta^3+483897488\\theta^2+637072542\\theta+341253003\\right)-2^{33} 3^{4} x^{15}\\left(5747912\\theta^4+56489772\\theta^3+174829980\\theta^2+221976882\\theta+104121013\\right)+2^{36} 3^{4} x^{16}\\left(16918876\\theta^4+134059112\\theta^3+430189490\\theta^2+605545594\\theta+319170645\\right)-2^{39} 3^{5} x^{17}\\left(4210518\\theta^4+37730872\\theta^3+132124328\\theta^2+200474784\\theta+112091805\\right)+2^{42} 3^{6} x^{18}\\left(447390\\theta^4+5190184\\theta^3+21400882\\theta^2+36112146\\theta+21721717\\right)+2^{45} 3^{7} x^{19}\\left(15750\\theta^4-122992\\theta^3-1334612\\theta^2-3091192\\theta-2193809\\right)-2^{48} 3^{7} x^{20}\\left(30606\\theta^4+212088\\theta^3+405914\\theta^2+179122\\theta-102711\\right)+2^{51} 3^{8} x^{21}\\left(2926\\theta^4+28968\\theta^3+87104\\theta^2+106360\\theta+45497\\right)+2^{54} 3^{9} x^{22}\\left(27\\theta^4-616\\theta^3-3223\\theta^2-5290\\theta-2877\\right)-2^{57} 3^{10} x^{23}\\left(21\\theta^4+134\\theta^3+332\\theta^2+377\\theta+165\\right)+2^{60} 3^{11} x^{24}\\left((\\theta+2)^4\\right)", "superseek": "-16/5 -1867567/6075", "discriminant": "24 25 -435 -45889 813880 25622384 -628948032 -3389853760 208353200640 -1362240106496 -22148608098304 409404315271168 -1500990746394624 -23624744737701888 334655049437282304 -1526003821594017792 -3999309237766324224 94175160760182767616 -562485890245157978112 1434411038851454730240 1211934492692840448000 -18840618201070260191232 43228895398025156886528 9573589958277615058944 -178707012554515481100288 204236585776589121257472", "aesz": null, "n_sing_complex": null, "inst_int": null, "c2h": null, "hash": "2b54ac5ab682fefda99613b12639de0d", "dim_h": null, "inst": " -16/5 379/10 -1867567/6075 1930939249/288000 -783587875717/5859375 47217400696797317/13668750000 -1103732498431619336123/11911961250000 30237262643549758922175047/11063808000000000 -3620313650957541876530702561179/43064657133750000000 72086742626442302625332317523679379/26583121687500000000000", "cleanlist": "True", "n_sing_real": null, "sol_explicit": null, "n_sing_rational": null, "n_sing": null, "laurent": null, "discriminant_tex": "(8z+1)(64z^2-8z-1)(331776z^6-165888z^5+31104z^4-3168z^3+81z^2+35z-1)(8z-1)^2(36864z^5-4608z^4-4416z^3+1256z^2-136z+5)^2(24z+1)^3", "discr_factors": "204236585776589121257472, (z-1/8)^2, z^6-1/2*z^5+3/32*z^4-11/1152*z^3+1/4096*z^2+35/331776*z-1/331776, (z+1/24)^3, z^2-1/8*z-1/64, z+1/8, (z^5-1/8*z^4-23/192*z^3+157/4608*z^2-17/4608*z+5/36864)^2", "dm_basis": null, "q": "0 1 -13 231 -6879 88180161/400 -4797178234073/625000 28242314881523321/101250000 -638377339134216758047/60775312500 1402082388605673465544813/3457440000000", "yuk": "1 -16/5 300 -1868287/225 1932289249/4500 -783588025717/46875 47216894427953567/63281250 -1103732498542751336123/34728750000 30237271922402732620175047/21609000000000 -3620313651448059413994152561179/59073603750000000", "gv2": null, "gv0": null, "gv1": null}, {"pols": "[27*X^4, -1971*X^4-3366*X^3-3078*X^2-1395*X-270, 26145*X^4+248484*X^3+341025*X^2+206106*X+55008, 191792*X^4-5039312*X^3-14362832*X^2-10625992*X-3338016, -83288880*X^4-81587040*X^3+307503776*X^2+285571408*X+102737760, 840236992*X^4+5431022976*X^3-443427200*X^2-579253568*X-2489094912, 23883370048*X^4-94002485248*X^3+80248998080*X^2+125243428864*X+61232868608, -864597919232*X^4+569815020544*X^3-1555103757312*X^2-2238298672640*X-1131893267968, 10906335031296*X^4-1045457043456*X^3+10396026232832*X^2+15612100730880*X+8717491261440, -31253827485696*X^4+129769323626496*X^3+297398916612096*X^2+296645742428160*X+111860388364288, -797953522925568*X^4-3453012651540480*X^3-7765674305257472*X^2-8090542823440384*X-3344623445213184, 9989775603793920*X^4+33179621193154560*X^3+67075753593798656*X^2+65530039155818496*X+25716759933747200, -28232623553773568*X^4-40271152307765248*X^3+39521257829433344*X^2+179082326859317248*X+132555943094255616, -294416618606297088*X^4-1863015001774620672*X^3-5637844903703609344*X^2-8037162584178163712*X-4387411265169915904, 2628863376377249792*X^4+15412350022682935296*X^3+45836048689816141824*X^2+67675418150389678080*X+39089584297933275136, -3246357181074767872*X^4-24594983607540383744*X^3-94376953407673991168*X^2-186208281949571645440*X-135474413913023447040, -48554163277605634048*X^4-310340402698101194752*X^3-903392936510074388480*X^2-1155035398586935279616*X-526161507735727767552, 222357584498047057920*X^4+1932612063130898399232*X^3+7290229745236498710528*X^2+12563081156741824512000*X+7896913388829356851200, 57782810496372572160*X^4-1980398967128554733568*X^3-15323711046179994206208*X^2-39305673766228501463040*X-31310367161555714310144, -2744434010593261780992*X^4-20396775972238188871680*X^3-51165853044868336582656*X^2-27967503149183413518336*X+17971963025333736701952, 5728428418377707421696*X^4+74113608865012506427392*X^3+294944487154333708713984*X^2+413869031657072775659520*X+178012122613135932653568, 10280191229013163769856*X^4+32618203006757781897216*X^3-99131379514632881307648*X^2-301552032856672925908992*X-172908468156489195847680, -5445608554228327907328*X^4-532537325281664135331840*X^3-1657564740761278394400768*X^2-2196789425100827960279040*X-1090990902849407941607424, 9980697350193398415360*X^4+286813723852926080778240*X^3+1259669065566514178949120*X^2+2034486359857843792773120*X+1141476596945802881925120, 189107949793138075238400*(X+2)^4]", "text": "This is operator \"24.8\" from ...", "degz": 24, "h3": null, "sol": "1 10 106 1096 1867871/144 48817511851/135000 7577182411613/546750 1674234580601746792/3281866875 251872192719231794632297/13442526720000 3748176653562096752050739401/4899800989440000", "n_discr_factors": "1", "c3": null, "operator": "4 24 0 0 0 0 27 -270 -1395 -3078 -3366 -1971 55008 206106 341025 248484 26145 -3338016 -10625992 -14362832 -5039312 191792 102737760 285571408 307503776 -81587040 -83288880 -2489094912 -579253568 -443427200 5431022976 840236992 61232868608 125243428864 80248998080 -94002485248 23883370048 -1131893267968 -2238298672640 -1555103757312 569815020544 -864597919232 8717491261440 15612100730880 10396026232832 -1045457043456 10906335031296 111860388364288 296645742428160 297398916612096 129769323626496 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