{"count": 20, "status":"OK", "data":[{"pols": "[X^4, -4*(2*X+1)^2*(5*X^2+5*X+2), 256*(2*X+1)*(X+1)^2*(2*X+3)]", "text": "Hadamard product $I \\ast \\alpha$\nA-Incarnation: diagonal subfamily of 1,1,1,1-intersection in $P^1 \\times P^1 \\times P^1 \\times \\P^1$\nB-Incarnations:\nFibre products: 62211- x 632--1, S62211\n", "degz": 2, "h3": "48", "sol": "1 8 168 5120 190120 7939008 357713664 16993726464 839358285480 42714450658880", "n_discr_factors": "2", "c3": "-128", "operator": "4 2 0 0 0 0 1 -8 -52 -132 -160 -80 768 3584 5888 4096 1024", "new_number": "2.52", "id": 47, "operator_tex": "\\theta^4-2^{2} x(2\\theta+1)^2(5\\theta^2+5\\theta+2)+2^{8} x^{2}(2\\theta+1)(\\theta+1)^2(2\\theta+3)", "superseek": "4 644/3", "discriminant": "2 1 -80 1024", "aesz": "16", "n_sing_complex": "0", "inst_int": "", "c2h": "96", "hash": "05af0662662bfbec63e3186c4f363313", "dim_h": "16", "inst": " 4 20 644/3 3072 52512 1027868 22083628 507552272 36850292240/3 309706589472", "cleanlist": "True", "n_sing_real": "3", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "3", "laurent": null, "discriminant_tex": "(64z-1)(16z-1)", "discr_factors": "1024, z-1/64, z-1/16", "dm_basis": ["-310145437/500000000*I", "12", "1", "1", "-4", "-24", "-1", "0", "0", "48", "0", "0", "-48", "0", "0", "0"], "q": "0 1 -20 222 -2704 21293 -307224 80402 -67101504 -1187407098", "yuk": "1 4 164 5800 196772 6564004 222025448 7574684408 259866960036 8954621020120", "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","48","1","0","0","0","1","1"]},{"re":"1/64","im":"0","approx_re":"0.015625","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":["1.+.620290874*I","0","32/3*lambda",".8015849e-2","4","1","1/3","-32/3*lambda","0","0","1","0","48","0","4","1.-.620290874*I"],"monodromy_dm":["1","-16","-1","-1","0","1","0","0","0","0","1","0","0","0","0","1"]},{"re":"1/16","im":"0","approx_re":"0.0625","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":["5+512*lambda","-1.-.620290874*I","1/3+128/3*lambda","-1/7*7^(5/8)*exp(-9/4)*Zeta(5)^(1/4)-64/3*lambda","16","-3","4/3","-1/3-128/3*lambda","48","-12","5","-1.-.620290874*I","192","-48","16","-3-512*lambda"],"monodromy_dm":["-7","-88","-5","-4","2","23","5/4","1","-48","-528","-29","-24","32","352","20","17"]},{"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": "[X^4, -4*(2*X+1)^2*(3*X^2+3*X+1), -16*(2*X+1)*(4*X+3)*(4*X+5)*(2*X+3)]", "text": "A-Incarnation: (1,1) and (2,2) intersection in $P^3 \\times P^3$", "degz": 2, "h3": "40", "sol": "1 4 108 3280 126700 5355504 243791856 11651694912 578075329260 29514351895600", "n_discr_factors": "2", "c3": "-128", "operator": "4 2 0 0 0 0 1 -4 -28 -76 -96 -48 -720 -3456 -5824 -4096 -1024", "new_number": "2.60", "id": 56, "operator_tex": "\\theta^4-2^{2} x(2\\theta+1)^2(3\\theta^2+3\\theta+1)-2^{4} x^{2}(2\\theta+1)(4\\theta+3)(4\\theta+5)(2\\theta+3)", "superseek": "4 364", "discriminant": "2 1 -48 -1024", "aesz": "18", "n_sing_complex": "0", "inst_int": "", "c2h": "88", "hash": "bb479f8a4185bf4a943dba2d433e13e5", "dim_h": "14", "inst": " 4 39 364 6800 662416/5 3162589 80141644 2204992496 63488383784 9551133342652/5", "cleanlist": "True", "n_sing_real": "3", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "3", "laurent": null, "discriminant_tex": "-(16z+1)(64z-1)", "discr_factors": "-1024, z-1/64, z+1/16", "dm_basis": ["-310145437/500000000*I", "31/3", "1", "1", "-11/3", "-20", "-1", "0", "0", "40", "0", "0", "-40", "0", "0", "0"], "q": "0 1 -12 -90 848 -14079 -313608 -8135374 -247756992 -8049920748", "yuk": "1 4 316 9832 435516 16560404 683129368 27488583896 1128956593468 46283031788368", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/16","im":"0","approx_re":"-0.0625","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":["5.3333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333+1.240581747*I","-2.1666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666667-.620290874*I",".83055555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555556+.237778168*I","-.215484184-.13439635535307517084282460136674259681093394077448747152619589977220956719817767653758542141230068337129840546697038724373576309794988610478359908883826879271070615034168564920273348519362186788154897*I","46/3","-20/3","529/180","-.83055555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555556-.237778168*I","40","-20","26/3","-2.1666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666667-.620290874*I","80","-40","46/3","-10/3-256*lambda"],"monodromy_dm":["-7","-56","-3","-2","4","29","3/2","1","-112","-784","-41","-28","88","616","33","23"]},{"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","40","1","0","0","0","1","1"]},{"re":"1/64","im":"0","approx_re":"0.015625","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":["1.+.620290874*I","0",".56859997e-1*I",".9619019e-2","11/3","1","121/360","-.56859997e-1*I","0","0","1","0","40","0","11/3","1.-.620290874*I"],"monodromy_dm":["1","-14","-1","-1","0","1","0","0","0","0","1","0","0","0","0","1"]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1/2","3/4","5/4","3/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -4*(2*X+1)^2*(5*X^2+5*X+2), 32*(2*X+1)*(2*X+3)*(7*X^2+14*X+8), -176*(2*X+1)*(2*X+3)^2*(2*X+5)]", "text": "This is operator \"3.31\" from ...", "degz": 3, "h3": null, "sol": "1 8 168 5360 210280 9269568 440263824 22027234944 1145252033640 61332823872320", "n_discr_factors": "1", "c3": null, "operator": "4 3 0 0 0 0 1 -8 -52 -132 -160 -80 768 3392 5280 3584 896 -7920 -29568 -35200 -16896 -2816", "new_number": "3.31", "id": 94, "operator_tex": "\\theta^4-2^{2} x(2\\theta+1)^2(5\\theta^2+5\\theta+2)+2^{5} x^{2}(2\\theta+1)(2\\theta+3)(7\\theta^2+14\\theta+8)-2^{4} 11 x^{3}(2\\theta+1)(2\\theta+3)^2(2\\theta+5)", "superseek": "4 284", "discriminant": "3 1 -80 896 -2816", "aesz": null, "n_sing_complex": "2", "inst_int": "", "c2h": null, "hash": "660b0951ad934fc17fda7eb9b1750649", "dim_h": null, "inst": " 4 27 284 4368 80968 1722333 40082284 998658176 26202453860 716312822310", "cleanlist": "True", "n_sing_real": "2", "sol_explicit": "", "n_sing_rational": "1", "n_sing": "4", "laurent": null, "discriminant_tex": "1-80z+896z^2-2816z^3", "discr_factors": "-2816, -1/2816+5/176*z-7/22*z^2+z^3", "dm_basis": null, "q": "0 1 -20 210 -2864 25415 -479656 595578 -139496000 -2233947465", "yuk": "1 4 220 7672 279772 10121004 372031816 13748223416 511313265884 19101588871612", "gv2": null, "gv0": null, "gv1": null}, {"pols": "[X^4, 340*X^2+288*X^3+44+196*X+144*X^4, 16*(8*X^2+16*X+11)*(48*X^2+96*X+49), 256*(4*X+7)^2*(4*X+5)^2]", "text": "Operator equivalent to AESZ 353", "degz": 3, "h3": null, "sol": "1 -44 2244 -122576 6952516 -403676400 23812437936 -1420801573056 85507689001284 -5180844331813424", "n_discr_factors": "2", "c3": null, "operator": "4 3 0 0 0 0 1 44 196 340 288 144 8624 29440 39296 24576 6144 313600 860160 876544 393216 65536", "new_number": "3.33", "id": 96, "operator_tex": "\\theta^4+2^{2} x\\left(36\\theta^4+72\\theta^3+85\\theta^2+49\\theta+11\\right)+2^{4} x^{2}(8\\theta^2+16\\theta+11)(48\\theta^2+96\\theta+49)+2^{8} x^{3}(4\\theta+7)^2(4\\theta+5)^2", "superseek": "4 1580/9", "discriminant": "3 1 144 6144 65536", "aesz": null, "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "da01a7b2dfcebe6e332be6c29ed2a8e5", "dim_h": null, "inst": " 4 -25 1580/9 -1580 17120 -1864211/9 2660236 -35601596 493759552 -7061895928", "cleanlist": "True", "n_sing_real": "3", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "3", "laurent": null, "discriminant_tex": "(16z+1)(1+64z)^2", "discr_factors": "65536, (1/64+z)^2, z+1/16", "dm_basis": null, "q": "0 1 20 174 1808 10485 97368 267922 6478144 -38096766", "yuk": "1 4 -196 4744 -101316 2140004 -44736520 912460952 -18228118468 359950718152", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/16","im":"0","approx_re":"-0.0625","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/64","im":"0","approx_re":"-0.015625","approx_im":"0.0","exponents":["0","-1/2","1","3/2"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["5/4","5/4","7/4","7/4"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -4*X*(X+1)*(2*X+1)^2, -32*(2*X+1)*(2*X+3)*(11*X^2+22*X+12), -1200*(2*X+1)*(2*X+3)^2*(2*X+5), -4864*(2*X+1)*(2*X+3)*(2*X+5)*(2*X+7)]", "text": "Sporadic Operator.", "degz": 4, "h3": null, "sol": "1 0 72 1200 44520 1451520 54164880 2075673600 82978295400 3404489088000", "n_discr_factors": "2", "c3": null, "operator": "4 4 0 0 0 0 1 0 -4 -20 -32 -16 -1152 -5184 -8224 -5632 -1408 -54000 -201600 -240000 -115200 -19200 -510720 -1712128 -1673216 -622592 -77824", "new_number": "4.37", "id": 134, "operator_tex": "\\theta^4-2^{2} x\\theta(\\theta+1)(2\\theta+1)^2-2^{5} x^{2}(2\\theta+1)(2\\theta+3)(11\\theta^2+22\\theta+12)-2^{4} 3 5^{2} x^{3}(2\\theta+1)(2\\theta+3)^2(2\\theta+5)-2^{8} 19 x^{4}(2\\theta+1)(2\\theta+3)(2\\theta+5)(2\\theta+7)", "superseek": "4 284", "discriminant": "4 1 -16 -1408 -19200 -77824", "aesz": "206", "n_sing_complex": "1", "inst_int": "", "c2h": null, "hash": "bd5dae321e1369e7fae153775f84a351", "dim_h": null, "inst": " 4 27 284 4368 80968 1722333 40082284 998658176 26202453860 716312822310", "cleanlist": "True", "n_sing_real": "2", "sol_explicit": "", "n_sing_rational": "2", "n_sing": "3", "laurent": null, "discriminant_tex": "-(16z+1)(4864z^3+896z^2+32z-1)", "discr_factors": "-77824, z^3+7/38*z^2+1/152*z-1/4864, z+1/16", "dm_basis": null, "q": "0 1 -4 -174 -1008 5703 -60552 -6912774 -195899200 -4965619785", "yuk": "1 4 220 7672 279772 10121004 372031816 13748223416 511313265884 19101588871612", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/912*(6947+627*33^(1/2))^(1/3)-41/114/(6947+627*33^(1/2))^(1/3)-7/114","im":"-1/8*3^(1/2)*(1/114*(6947+627*33^(1/2))^(1/3)-164/57/(6947+627*33^(1/2))^(1/3))","approx_re":"-0.10185","approx_im":"-0.013248","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/912*(6947+627*33^(1/2))^(1/3)-41/114/(6947+627*33^(1/2))^(1/3)-7/114","im":"1/8*3^(1/2)*(1/114*(6947+627*33^(1/2))^(1/3)-164/57/(6947+627*33^(1/2))^(1/3))","approx_re":"-0.10185","approx_im":"0.013248","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":"s_1","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"s_3","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"s_2","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/456*(6947+627*33^(1/2))^(1/3)+41/57/(6947+627*33^(1/2))^(1/3)-7/114","im":"0","approx_re":"0.019489","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","3/2","5/2","7/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -396*X^4-312*X^3-260*X^2-104*X-16, 60032*X^4+88448*X^3+81216*X^2+35456*X+5888, -4271104*X^4-8945664*X^3-8898560*X^2-4042752*X-696320, 163840*(2*X+1)*(418*X^3+951*X^2+846*X+260), -39321600*(2*X+1)*(3*X+2)*(3*X+4)*(2*X+3)]", "text": "This is operator \"5.108\" from ...", "degz": 5, "h3": "64", "sol": "1 16 720 44800 3245200 256386816 21423257856 1861674946560 166539035005200 15234386035897600", "n_discr_factors": "3", "c3": "-36", "operator": "4 5 0 0 0 0 1 -16 -104 -260 -312 -396 5888 35456 81216 88448 60032 -696320 -4042752 -8898560 -8945664 -4271104 42598400 223805440 433029120 380108800 136970240 -943718400 -4639948800 -7982284800 -5662310400 -1415577600", "new_number": "5.108", "id": 190, "operator_tex": "\\theta^4-2^{2} x\\left(99\\theta^4+78\\theta^3+65\\theta^2+26\\theta+4\\right)+2^{6} x^{2}\\left(938\\theta^4+1382\\theta^3+1269\\theta^2+554\\theta+92\\right)-2^{10} x^{3}\\left(4171\\theta^4+8736\\theta^3+8690\\theta^2+3948\\theta+680\\right)+2^{15} 5 x^{4}(2\\theta+1)(418\\theta^3+951\\theta^2+846\\theta+260)-2^{19} 3 5^{2} x^{5}(2\\theta+1)(3\\theta+2)(3\\theta+4)(2\\theta+3)", "superseek": "4 1268", "discriminant": "5 1 -396 60032 -4271104 136970240 -1415577600", "aesz": "365", "n_sing_complex": "0", "inst_int": "", "c2h": "112", "hash": "f84624e83cd4eb2cc90693bd5627efcf", "dim_h": "20", "inst": " 4 107/2 1268 89439/4 396908 15177407/2 157176420 14114736207/4 86763346976 4638040656201/2", "cleanlist": "True", "n_sing_real": "5", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "5", "laurent": null, "discriminant_tex": "-(108z-1)(2048z^2-128z+1)(-1+80z)^2", "discr_factors": "-1415577600, (-1/80+z)^2, z-1/108, z^2-1/16*z+1/2048", "dm_basis": null, "q": "0 1 -40 832 -14592 262032 -3793664 56464896 -757760000 10626762520", "yuk": "1 4 432 34240 1431456 49613504 1639194624 53911512064 1806687665952 63250479979744", "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":"1/32-1/64*2^(1/2)","im":"0","approx_re":"0.009153","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/108","im":"0","approx_re":"0.00925925925926","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/80","im":"0","approx_re":"0.0125","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"1/32+1/64*2^(1/2)","im":"0","approx_re":"0.053347","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","4/3","3/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -4*X*(22*X^3+8*X^2+5*X+1), 1088*X^4-4864*X^3-8480*X^2-5216*X-1152, 36352*X^4+153600*X^3+85760*X^2-9984*X-13824, -417792*X^4+344064*X^3+1812480*X^2+1603584*X+442368, -294912*(4*X+3)*(X+1)^2*(4*X+5)]", "text": "This is operator \"5.112\" from ...", "degz": 5, "h3": null, "sol": "1 0 72 1728 72360 3024000 138700800 6638284800 330006738600 16870582713600", "n_discr_factors": "4", "c3": null, "operator": "4 5 0 0 0 0 1 0 -4 -20 -32 -88 -1152 -5216 -8480 -4864 1088 -13824 -9984 85760 153600 36352 442368 1603584 1812480 344064 -417792 -4423680 -18284544 -28016640 -18874368 -4718592", "new_number": "5.112", "id": 195, "operator_tex": "\\theta^4-2^{2} x\\theta(22\\theta^3+8\\theta^2+5\\theta+1)+2^{5} x^{2}\\left(34\\theta^4-152\\theta^3-265\\theta^2-163\\theta-36\\right)+2^{8} x^{3}\\left(142\\theta^4+600\\theta^3+335\\theta^2-39\\theta-54\\right)-2^{11} 3 x^{4}\\left(68\\theta^4-56\\theta^3-295\\theta^2-261\\theta-72\\right)-2^{15} 3^{2} x^{5}(4\\theta+3)(\\theta+1)^2(4\\theta+5)", "superseek": "4 940", "discriminant": "5 1 -88 1088 36352 -417792 -4718592", "aesz": "395", "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "2d13c01eaf16983977dfb0325c5f376e", "dim_h": null, "inst": " 4 60 940 19091 463904 12973348 400305324 13268626837 464051654448 16924201942912", "cleanlist": "True", "n_sing_real": "5", "sol_explicit": "A_{n}=\\sum_{j,k=0}^{n}(-4)^{n-k}\\dbinom{n}{j}\\dbinom{n}{k}\\dbinom{2j}{j}\\dbinom{j}{k}\\dbinom{n+j}{n}\\dbinom{2n-2k}{n}", "n_sing_rational": "5", "n_sing": "5", "laurent": null, "discriminant_tex": "-(16z+1)(8z+1)(64z-1)(-1+24z)^2", "discr_factors": "-4718592, z+1/16, (-1/24+z)^2, z+1/8, z-1/64", "dm_basis": null, "q": "0 1 -4 -194 -2768 -45843 -1241656 -43214286 -1607604288 -61898933306", "yuk": "1 4 484 25384 1222308 57988004 2802269032 137304726136 6793538162852 338293656117976", "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":"-1/16","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":"1/64","im":"0","approx_re":"0.015625","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/24","im":"0","approx_re":"0.0416666666667","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": "[X^4, 20+96*X+180*X^2+168*X^3+276*X^4, 7824+31840*X+52976*X^2+43968*X^3+33552*X^4, 1285120+4602624*X+6724864*X^2+4929024*X^3+2365440*X^4, 113224704+369214464*X+481683456*X^2+310978560*X^3+107043840*X^4, 5938819072+18001223680*X+21321592832*X^2+12174974976*X^3+3244953600*X^4, 193460092928+552328888320*X+601901252608*X^2+306625511424*X^3+66594422784*X^4, 3928442798080+10662611779584*X+10803819577344*X^2+4961730035712*X^3+910775549952*X^4, 48183064395776+125126569885696*X+118802849202176*X^2+49666477522944*X^3+7911030915072*X^4, 385875968*(2*X+3)*(50786*X^3+284985*X^2+515497*X+282264), 20874346364928*(X+1)*(2*X+5)*(2*X+3)*(X+3)]", "text": "This is operator \"10.2\" from ...", "degz": 10, "h3": null, "sol": "1 -20 436 -9872 228292 -5360720 127776880 -3100387520 76926678340 -1960844809040", "n_discr_factors": "5", "c3": null, "operator": "4 10 0 0 0 0 1 20 96 180 168 276 7824 31840 52976 43968 33552 1285120 4602624 6724864 4929024 2365440 113224704 369214464 481683456 310978560 107043840 5938819072 18001223680 21321592832 12174974976 3244953600 193460092928 552328888320 601901252608 306625511424 66594422784 3928442798080 10662611779584 10803819577344 4961730035712 910775549952 48183064395776 125126569885696 118802849202176 49666477522944 7911030915072 326756682694656 814591500091392 727742395973632 278729016213504 39194193821696 939345586421760 2254429407412224 1899565519208448 667979083677696 83497385459712", "new_number": "10.2", "id": 318, "operator_tex": "\\theta^4+2^{2} x\\left(69\\theta^4+42\\theta^3+45\\theta^2+24\\theta+5\\right)+2^{4} x^{2}\\left(2097\\theta^4+2748\\theta^3+3311\\theta^2+1990\\theta+489\\right)+2^{8} x^{3}\\left(9240\\theta^4+19254\\theta^3+26269\\theta^2+17979\\theta+5020\\right)+2^{10} 3 x^{4}\\left(34845\\theta^4+101230\\theta^3+156798\\theta^2+120187\\theta+36857\\right)+2^{12} x^{5}\\left(792225\\theta^4+2972406\\theta^3+5205467\\theta^2+4394830\\theta+1449907\\right)+2^{14} x^{6}\\left(4064601\\theta^4+18714936\\theta^3+36737137\\theta^2+33711480\\theta+11807867\\right)+2^{18} x^{7}\\left(3474333\\theta^4+18927498\\theta^3+41213301\\theta^2+40674636\\theta+14985820\\right)+2^{20} x^{8}\\left(7544547\\theta^4+47365644\\theta^3+113299226\\theta^2+119329996\\theta+45950951\\right)+2^{24} 23 x^{9}(2\\theta+3)(50786\\theta^3+284985\\theta^2+515497\\theta+282264)+2^{28} 3 7^{2} 23^{2} x^{10}(\\theta+1)(2\\theta+5)(2\\theta+3)(\\theta+3)", "superseek": "4 2252/9", "discriminant": "10 1 276 33552 2365440 107043840 3244953600 66594422784 910775549952 7911030915072 39194193821696 83497385459712", "aesz": null, "n_sing_complex": "2", "inst_int": "", "c2h": null, "hash": "4a65f8c6ad1f8eaf4aa56879ebb94205", "dim_h": null, "inst": " 4 -31 2252/9 -11109/4 33312 -4091081/9 6559596 -399687825/4 1577400224 -25647405040", "cleanlist": "True", "n_sing_real": "6", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "8", "laurent": null, "discriminant_tex": "(24z+1)(8z+1)(784z^2+52z+1)(32z+1)^2(736z^2+64z+1)^2", "discr_factors": "83497385459712, z+1/8, z+1/24, (z+1/32)^2, (z^2+2/23*z+1/736)^2, z^2+13/196*z+1/784", "dm_basis": null, "q": "0 1 16 246 3296 45125 566688 7548010 89656192 1211420178", "yuk": "1 4 -244 6760 -177988 4164004 -98179432 2249941432 -51160219588 1149924770056", "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":"-1/23-3/184*2^(1/2)","im":"0","approx_re":"-0.066536","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/24","im":"0","approx_re":"-0.0416666666667","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-13/392","im":"-3/392*3^(1/2)","approx_re":"-0.0331632653061","approx_im":"-0.013255","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-13/392","im":"3/392*3^(1/2)","approx_re":"-0.0331632653061","approx_im":"0.013255","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/32","im":"0","approx_re":"-0.03125","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/23+3/184*2^(1/2)","im":"0","approx_re":"-0.02042","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":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1","3/2","5/2","3"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -16-84*X-180*X^2-192*X^3-192*X^4, 5952+23296*X+37760*X^2+31296*X^3+16704*X^4, -694592-2356032*X-3250880*X^2-2280192*X^3-865920*X^4, 40713984+127266816*X+158593536*X^2+98319360*X^3+29657088*X^4, -1449089024-4294181888*X-4970619904*X^2-2780086272*X^3-701853696*X^4, 34139856896+96861929472*X+105196011520*X^2+53599420416*X^3+11625332736*X^4, -543702794240-1480077656064*X-1512235352064*X^2-705261797376*X^3-132992630784*X^4, 5684261224448+14858703339520*X+14290280382464*X^2+6101819719680*X^3+1003990745088*X^4, -13107200*(2*X+3)*(171838*X^3+939735*X^2+1668155*X+905358), 2272788480000*(X+1)*(2*X+5)*(2*X+3)*(X+3)]", "text": "This is operator \"10.7\" from ...", "degz": 10, "h3": null, "sol": "1 16 292 5728 115012 2225536 37164976 345546112 -10171713212 -843836295488", "n_discr_factors": "4", "c3": null, "operator": "4 10 0 0 0 0 1 -16 -84 -180 -192 -192 5952 23296 37760 31296 16704 -694592 -2356032 -3250880 -2280192 -865920 40713984 127266816 158593536 98319360 29657088 -1449089024 -4294181888 -4970619904 -2780086272 -701853696 34139856896 96861929472 105196011520 53599420416 11625332736 -543702794240 -1480077656064 -1512235352064 -705261797376 -132992630784 5684261224448 14858703339520 14290280382464 6101819719680 1003990745088 -35600125132800 -89327940403200 -80681566208000 -31391534284800 -4504630067200 102275481600000 245461155840000 206823751680000 72729231360000 9091153920000", "new_number": "10.7", "id": 323, "operator_tex": "\\theta^4-2^{2} x\\left(48\\theta^4+48\\theta^3+45\\theta^2+21\\theta+4\\right)+2^{6} x^{2}\\left(261\\theta^4+489\\theta^3+590\\theta^2+364\\theta+93\\right)-2^{6} x^{3}\\left(13530\\theta^4+35628\\theta^3+50795\\theta^2+36813\\theta+10853\\right)+2^{8} 3 x^{4}\\left(38616\\theta^4+128020\\theta^3+206502\\theta^2+165712\\theta+53013\\right)-2^{10} x^{5}\\left(685404\\theta^4+2714928\\theta^3+4854121\\theta^2+4193537\\theta+1415126\\right)+2^{13} x^{6}\\left(1419108\\theta^4+6542898\\theta^3+12841310\\theta^2+11823966\\theta+4167463\\right)-2^{14} x^{7}\\left(8117226\\theta^4+43045764\\theta^3+92299521\\theta^2+90336771\\theta+33184985\\right)+2^{16} x^{8}\\left(15319683\\theta^4+93106380\\theta^3+218052374\\theta^2+226725820\\theta+86734943\\right)-2^{19} 5^{2} x^{9}(2\\theta+3)(171838\\theta^3+939735\\theta^2+1668155\\theta+905358)+2^{22} 3 5^{4} 17^{2} x^{10}(\\theta+1)(2\\theta+5)(2\\theta+3)(\\theta+3)", "superseek": "4 -628/9", "discriminant": "10 1 -192 16704 -865920 29657088 -701853696 11625332736 -132992630784 1003990745088 -4504630067200 9091153920000", "aesz": null, "n_sing_complex": "4", "inst_int": "", "c2h": null, "hash": "d5910f048831bb407eb8998c7c57e09f", "dim_h": null, "inst": " 4 5 -628/9 -2823/4 672 133867/9 207788 15579985/4 94033312/3 -299026336", "cleanlist": "True", "n_sing_real": "4", "sol_explicit": "", "n_sing_rational": "5", "n_sing": "8", "laurent": null, "discriminant_tex": "(12z-1)(18496z^3-2352z^2+84z-1)(16z-1)^2(400z^2-32z+1)^2", "discr_factors": "9091153920000, (z^2-2/25*z+1/400)^2, (z-1/16)^2, z^3-147/1156*z^2+21/4624*z-1/18496, z-1/12", "dm_basis": null, "q": "0 1 -20 342 -5200 78917 -1171416 17002890 -245182528 3470494482", "yuk": "1 4 44 -1880 -45124 84004 3210968 71271288 1994192956 22850092936", "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":"-21/2312*2^(1/3)-9/2312*2^(2/3)+49/1156","im":"-1/8*3^(1/2)*(21/289*2^(1/3)-9/289*2^(2/3))","approx_re":"0.024764","approx_im":"-0.009119","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-21/2312*2^(1/3)-9/2312*2^(2/3)+49/1156","im":"1/8*3^(1/2)*(21/289*2^(1/3)-9/289*2^(2/3))","approx_re":"0.024764","approx_im":"0.009119","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/25","im":"-3/100","approx_re":"0.04","approx_im":"-0.03","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"1/25","im":"3/100","approx_re":"0.04","approx_im":"0.03","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"1/16","im":"0","approx_re":"0.0625","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"21/1156*2^(1/3)+9/1156*2^(2/3)+49/1156","im":"0","approx_re":"0.077634","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/12","im":"0","approx_re":"0.0833333333333","approx_im":"0.0","exponents":["0","1","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, -280*X^3-232*X-372*X^2-152*X^4-56, 35424*X^3+26080+65888*X+68080*X^2+9744*X^4, -4622080*X^2-2852608-5691648*X-347392*X^4-1864704*X^3, 161448960*X^2+235916288*X+7628800*X^4+53571584*X^3+138162176, -107806720*X^4-3258073088*X^2-5445091328*X-924811264*X^3-3592175616, 73963536384*X+9942466560*X^3+53656485888+993067008*X^4+39721041920*X^2, -5894045696*X^4-465979834368-66580381696*X^3-596382842880*X-294001836032*X^2, 2282691231744+2766952988672*X+21609054208*X^4+1278646157312*X^2+268032802816*X^3, -44291850240*X^4-5758947164160-6736790421504*X-2975808356352*X^2-589484261376*X^3, 2415919104*(2*X+7)^4]", "text": "This is operator \"10.9\" from ...", "degz": 10, "h3": null, "sol": "1 56 2192 74112 2319376 69314944 2011806976 57308207104 1614181545232 45225611554688", "n_discr_factors": "5", "c3": null, "operator": "4 10 0 0 0 0 1 -56 -232 -372 -280 -152 26080 65888 68080 35424 9744 -2852608 -5691648 -4622080 -1864704 -347392 138162176 235916288 161448960 53571584 7628800 -3592175616 -5445091328 -3258073088 -924811264 -107806720 53656485888 73963536384 39721041920 9942466560 993067008 -465979834368 -596382842880 -294001836032 -66580381696 -5894045696 2282691231744 2766952988672 1278646157312 268032802816 21609054208 -5758947164160 -6736790421504 -2975808356352 -589484261376 -44291850240 5800621768704 6629282021376 2841120866304 541165879296 38654705664", "new_number": "10.9", "id": 325, "operator_tex": "\\theta^4-2^{2} x\\left(38\\theta^4+70\\theta^3+93\\theta^2+58\\theta+14\\right)+2^{4} x^{2}\\left(609\\theta^4+2214\\theta^3+4255\\theta^2+4118\\theta+1630\\right)-2^{8} x^{3}\\left(1357\\theta^4+7284\\theta^3+18055\\theta^2+22233\\theta+11143\\right)+2^{10} x^{4}\\left(7450\\theta^4+52316\\theta^3+157665\\theta^2+230387\\theta+134924\\right)-2^{14} x^{5}\\left(6580\\theta^4+56446\\theta^3+198857\\theta^2+332342\\theta+219249\\right)+2^{16} x^{6}\\left(15153\\theta^4+151710\\theta^3+606095\\theta^2+1128594\\theta+818733\\right)-2^{20} x^{7}\\left(5621\\theta^4+63496\\theta^3+280382\\theta^2+568755\\theta+444393\\right)+2^{22} x^{8}\\left(5152\\theta^4+63904\\theta^3+304853\\theta^2+659693\\theta+544236\\right)-2^{26} 3 x^{9}\\left(220\\theta^4+2928\\theta^3+14781\\theta^2+33462\\theta+28605\\right)+2^{28} 3^{2} x^{10}\\left((2\\theta+7)^4\\right)", "superseek": "4 116", "discriminant": "10 1 -152 9744 -347392 7628800 -107806720 993067008 -5894045696 21609054208 -44291850240 38654705664", "aesz": null, "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "dbcf215f85612454543d472ffd3bffa9", "dim_h": null, "inst": " 4 31/2 116 2477/2 16876 540035/2 4815460 184808589/2 1866374048 78289290981/2", "cleanlist": "True", "n_sing_real": "7", "sol_explicit": "", "n_sing_rational": "5", "n_sing": "7", "laurent": null, "discriminant_tex": "(1-48z+256z^2)(4z-1)^2(24z-1)^2(8z-1)^2(16z-1)^2", "discr_factors": "38654705664, (z-1/4)^2, (z-1/8)^2, (z-1/16)^2, 1/256-3/16*z+z^2, (z-1/24)^2", "dm_basis": null, "q": "0 1 -8 16 -512 -6032 -118016 -1997568 -34471936 -607775336", "yuk": "1 4 128 3136 79392 2109504 58327040 1651702784 47311078176 1360586684128", "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":"3/32-1/32*5^(1/2)","im":"0","approx_re":"0.023873","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/24","im":"0","approx_re":"0.0416666666667","approx_im":"0.0","exponents":["0","1","-2","3"],"monodromy":[],"monodromy_dm":[]},{"re":"1/16","im":"0","approx_re":"0.0625","approx_im":"0.0","exponents":["0","0","1","1"],"monodromy":[],"monodromy_dm":[]},{"re":"1/8","im":"0","approx_re":"0.125","approx_im":"0.0","exponents":["0","0","1","1"],"monodromy":[],"monodromy_dm":[]},{"re":"3/32+1/32*5^(1/2)","im":"0","approx_re":"0.163627","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","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["7/2","7/2","7/2","7/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[25*X^4, -1600*X^4-3200*X^3-3100*X^2-1500*X-300, 58880*X^4+189440*X^3+307840*X^2+236800*X+73200, -1556480*X^4-6021120*X^3-11965440*X^2-11842560*X-4561920, 32047104*X^4+131334144*X^3+266059776*X^2+289751040*X+122204160, -547356672*X^4-2283798528*X^3-4288413696*X^2-4403232768*X-1807024128, 7751073792*X^4+32916897792*X^3+58711867392*X^2+50130321408*X+16666066944, -91804925952*X^4-396210733056*X^3-746519003136*X^2-601563856896*X-168812347392, 901943132160*X^4+3917010173952*X^3+8024072650752*X^2+7528003928064*X+2663953465344, -7146825580544*X^4-30923764531200*X^3-58806692216832*X^2-51488067944448*X-16969415786496, 45079976738816*X^4+228698418577408*X^3+481311215058944*X^2+475813656920064*X+182244052303872, -175921860444160*X^4-1020346790576128*X^3-2278188092751872*X^2-2278188092751872*X-854320534781952, 17592186044416*(2*X+3)^4]", "text": "This is operator \"12.4\" from ...", "degz": 12, "h3": null, "sol": "1 12 108 688 3564 61776 1778160 33990336 430282476 3627238288", "n_discr_factors": "3", "c3": null, "operator": "4 12 0 0 0 0 25 -300 -1500 -3100 -3200 -1600 73200 236800 307840 189440 58880 -4561920 -11842560 -11965440 -6021120 -1556480 122204160 289751040 266059776 131334144 32047104 -1807024128 -4403232768 -4288413696 -2283798528 -547356672 16666066944 50130321408 58711867392 32916897792 7751073792 -168812347392 -601563856896 -746519003136 -396210733056 -91804925952 2663953465344 7528003928064 8024072650752 3917010173952 901943132160 -16969415786496 -51488067944448 -58806692216832 -30923764531200 -7146825580544 182244052303872 475813656920064 481311215058944 228698418577408 45079976738816 -854320534781952 -2278188092751872 -2278188092751872 -1020346790576128 -175921860444160 1424967069597696 3799912185593856 3799912185593856 1688849860263936 281474976710656", "new_number": "12.4", "id": 348, "operator_tex": "5^{2} \\theta^4-2^{2} 5^{2} x\\left(16\\theta^4+32\\theta^3+31\\theta^2+15\\theta+3\\right)+2^{4} 5 x^{2}\\left(736\\theta^4+2368\\theta^3+3848\\theta^2+2960\\theta+915\\right)-2^{10} 5 x^{3}\\left(304\\theta^4+1176\\theta^3+2337\\theta^2+2313\\theta+891\\right)+2^{12} 3 x^{4}\\left(2608\\theta^4+10688\\theta^3+21652\\theta^2+23580\\theta+9945\\right)-2^{16} 3 x^{5}\\left(2784\\theta^4+11616\\theta^3+21812\\theta^2+22396\\theta+9191\\right)+2^{21} 3 x^{6}\\left(1232\\theta^4+5232\\theta^3+9332\\theta^2+7968\\theta+2649\\right)-2^{25} 3^{2} x^{7}\\left(304\\theta^4+1312\\theta^3+2472\\theta^2+1992\\theta+559\\right)+2^{30} 3 x^{8}\\left(280\\theta^4+1216\\theta^3+2491\\theta^2+2337\\theta+827\\right)-2^{32} x^{9}\\left(1664\\theta^4+7200\\theta^3+13692\\theta^2+11988\\theta+3951\\right)+2^{38} x^{10}\\left(164\\theta^4+832\\theta^3+1751\\theta^2+1731\\theta+663\\right)-2^{40} x^{11}\\left(160\\theta^4+928\\theta^3+2072\\theta^2+2072\\theta+777\\right)+2^{44} x^{12}\\left((2\\theta+3)^4\\right)", "superseek": "4 -228/5", "discriminant": "12 25 -1600 58880 -1556480 32047104 -547356672 7751073792 -91804925952 901943132160 -7146825580544 45079976738816 -175921860444160 281474976710656", "aesz": null, "n_sing_complex": "4", "inst_int": "", "c2h": null, "hash": "c24070a1d4a449404cd7b46398fa6d6e", "dim_h": null, "inst": " 4 -29/5 -228/5 3724/5 -31856/5 144561/5 727676/5 -24745444/5 302409672/5 -397179636", "cleanlist": "True", "n_sing_real": "3", "sol_explicit": "", "n_sing_rational": "2", "n_sing": "7", "laurent": null, "discriminant_tex": "(16z-1)^2(256z^2-16z+1)^2(4096z^3-768z^2-5)^2", "discr_factors": "281474976710656, (z-1/16)^2, (z^2-1/16*z+1/256)^2, (z^3-3/16*z^2-5/4096)^2", "dm_basis": null, "q": "0 1 -12 166 -2224 26881 -293128 2837554 -23554240 156388628", "yuk": "1 4 -212/5 -6136/5 238124/5 -796396 31218808/5 249592888/5 -12669429204/5 220456644752/5", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/64*(28+12*5^(1/2))^(1/3)-1/16/(28+12*5^(1/2))^(1/3)+1/16","im":"-1/32*3^(1/2)*(1/2*(28+12*5^(1/2))^(1/3)-2/(28+12*5^(1/2))^(1/3))","approx_re":"-0.013312","approx_im":"-0.074322","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/64*(28+12*5^(1/2))^(1/3)-1/16/(28+12*5^(1/2))^(1/3)+1/16","im":"1/32*3^(1/2)*(1/2*(28+12*5^(1/2))^(1/3)-2/(28+12*5^(1/2))^(1/3))","approx_re":"-0.013312","approx_im":"0.074322","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":"1/32","im":"-1/32*3^(1/2)","approx_re":"0.03125","approx_im":"-0.054127","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"1/32","im":"1/32*3^(1/2)","approx_re":"0.03125","approx_im":"0.054127","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"1/16","im":"0","approx_re":"0.0625","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"1/32*(28+12*5^(1/2))^(1/3)+1/8/(28+12*5^(1/2))^(1/3)+1/16","im":"0","approx_re":"0.214124","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":["3/2","3/2","3/2","3/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, 8+32*X+44*X^2+24*X^3+96*X^4, -160+3344*X^4+32*X^3+368*X^2, 28544*X^4-155904*X^3-284800*X^2-267264*X-99328, -7036928-9865216*X^3-19801088*X^2-18862080*X-1442816*X^4, -53469184*X^4-293748736*X^3-641900544*X^2-642482176*X-249151488, -5247598592-12833783808*X-11946295296*X^2-4941938688*X^3-822607872*X^4, -46409973760*X^3-129895497728*X^2-153933053952*X-67398270976-6129975296*X^4, -1009686413312*X-491354324992-183341416448*X^3-717477642240*X^2-10099884032*X^4, -1469080141824+157840048128*X^4+496068722688*X^3-471372660736*X^2-2145336164352*X, 13258564042752*X^2+10617159155712*X+2638720532480+850403524608*X^4+6390911336448*X^3, 35596688949248*X+15427522527232+6047313952768*X^3+26938034880512*X^2-549755813888*X^4, -549755813888*(2*X+3)^4]", "text": "This is operator \"12.17\" from ...", "degz": 12, "h3": null, "sol": "1 -8 112 -1152 19216 -193664 3997440 -32147456 967568656 -3759626368", "n_discr_factors": "4", "c3": null, "operator": "4 12 0 0 0 0 1 8 32 44 24 96 -160 0 368 32 3344 -99328 -267264 -284800 -155904 28544 -7036928 -18862080 -19801088 -9865216 -1442816 -249151488 -642482176 -641900544 -293748736 -53469184 -5247598592 -12833783808 -11946295296 -4941938688 -822607872 -67398270976 -153933053952 -129895497728 -46409973760 -6129975296 -491354324992 -1009686413312 -717477642240 -183341416448 -10099884032 -1469080141824 -2145336164352 -471372660736 496068722688 157840048128 2638720532480 10617159155712 13258564042752 6390911336448 850403524608 15427522527232 35596688949248 26938034880512 6047313952768 -549755813888 -44530220924928 -118747255799808 -118747255799808 -52776558133248 -8796093022208", "new_number": "12.17", "id": 354, "operator_tex": "\\theta^4+2^{2} x\\left(24\\theta^4+6\\theta^3+11\\theta^2+8\\theta+2\\right)+2^{4} x^{2}\\left(209\\theta^4+2\\theta^3+23\\theta^2-10\\right)+2^{7} x^{3}\\left(223\\theta^4-1218\\theta^3-2225\\theta^2-2088\\theta-776\\right)-2^{10} x^{4}\\left(1409\\theta^4+9634\\theta^3+19337\\theta^2+18420\\theta+6872\\right)-2^{13} x^{5}\\left(6527\\theta^4+35858\\theta^3+78357\\theta^2+78428\\theta+30414\\right)-2^{17} x^{6}\\left(6276\\theta^4+37704\\theta^3+91143\\theta^2+97914\\theta+40036\\right)-2^{21} x^{7}\\left(2923\\theta^4+22130\\theta^3+61939\\theta^2+73401\\theta+32138\\right)-2^{24} x^{8}\\left(602\\theta^4+10928\\theta^3+42765\\theta^2+60182\\theta+29287\\right)+2^{26} x^{9}\\left(2352\\theta^4+7392\\theta^3-7024\\theta^2-31968\\theta-21891\\right)+2^{29} x^{10}\\left(1584\\theta^4+11904\\theta^3+24696\\theta^2+19776\\theta+4915\\right)-2^{35} x^{11}\\left(16\\theta^4-176\\theta^3-784\\theta^2-1036\\theta-449\\right)-2^{39} x^{12}\\left((2\\theta+3)^4\\right)", "superseek": "4 52", "discriminant": "12 1 96 3344 28544 -1442816 -53469184 -822607872 -6129975296 -10099884032 157840048128 850403524608 -549755813888 -8796093022208", "aesz": null, "n_sing_complex": "2", "inst_int": "", "c2h": null, "hash": "e65be092d4832d3740d2a3078755f447", "dim_h": null, "inst": " 4 7/2 52 500 2796 108891/2 523876 8014175 112614496 3281174301/2", "cleanlist": "True", "n_sing_real": "6", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "8", "laurent": null, "discriminant_tex": "-(8z+1)(256z^2+16z-1)(1024z^3-160z^2-28z-1)^2(16z+1)^3", "discr_factors": "-8796093022208, (z^3-5/32*z^2-7/256*z-1/1024)^2, (z+1/16)^3, z^2+1/16*z-1/256, z+1/8", "dm_basis": null, "q": "0 1 0 -64 -256 -336 -3584 -161792 -3244032 -45146984", "yuk": "1 4 32 1408 32032 349504 11761664 179689472 4103289632 82095968992", "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":"-1/32-1/32*5^(1/2)","im":"0","approx_re":"-0.101127","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","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/192*(1187+6*3165^(1/2))^(1/3)-109/192/(1187+6*3165^(1/2))^(1/3)+5/96","im":"-1/8*3^(1/2)*(1/24*(1187+6*3165^(1/2))^(1/3)-109/24/(1187+6*3165^(1/2))^(1/3))","approx_re":"-0.057187","approx_im":"-0.018391","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/192*(1187+6*3165^(1/2))^(1/3)-109/192/(1187+6*3165^(1/2))^(1/3)+5/96","im":"1/8*3^(1/2)*(1/24*(1187+6*3165^(1/2))^(1/3)-109/24/(1187+6*3165^(1/2))^(1/3))","approx_re":"-0.057187","approx_im":"0.018391","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":"-1/32+1/32*5^(1/2)","im":"0","approx_re":"0.038627","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/96*(1187+6*3165^(1/2))^(1/3)+109/96/(1187+6*3165^(1/2))^(1/3)+5/96","im":"0","approx_re":"0.270624","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":["3/2","3/2","3/2","3/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, 12+56*X+100*X^2+88*X^3+172*X^4, 12048*X^4+14784*X^3+17712*X^2+9952*X+2256, 432256*X^4+923904*X^3+1185408*X^2+737792*X+186240, 7751680*X^4+25311232*X^3+35200000*X^2+22459392*X+5437440, 33214464*X^4+188669952*X^3+212963328*X^2-3096576*X-67424256, -1147650048*X^4-4994629632*X^3-12364333056*X^2-15859777536*X-7297449984, -17323130880*X^4-99635429376*X^3-245132034048*X^2-295728316416*X-130689662976, -3737124864*X^4-44845498368*X^3-20978860032*X^2-20384317440*X-23272095744, 1353518678016*X^4+9702935101440*X^3+28091627864064*X^2+35372906053632*X+15653117362176, 48922361856*(X+1)*(109*X^3+651*X^2+1373*X+933), -1174136684544*(X+1)*(X+2)*(27*X^2+153*X+199), -169075682574336*(X+1)*(X+2)^2*(X+3)]", "text": "This is operator \"12.5\" from ...", "degz": 12, "h3": null, "sol": "1 -12 180 -2736 42948 -691632 11651184 -208526400 3997652292 -81421375536", "n_discr_factors": "5", "c3": null, "operator": "4 12 0 0 0 0 1 12 56 100 88 172 2256 9952 17712 14784 12048 186240 737792 1185408 923904 432256 5437440 22459392 35200000 25311232 7751680 -67424256 -3096576 212963328 188669952 33214464 -7297449984 -15859777536 -12364333056 -4994629632 -1147650048 -130689662976 -295728316416 -245132034048 -99635429376 -17323130880 -23272095744 -20384317440 -20978860032 -44845498368 -3737124864 15653117362176 35372906053632 28091627864064 9702935101440 1353518678016 45644563611648 112814966439936 99018860396544 37180995010560 5332537442304 -467306400448512 -1060245426143232 -835985319395328 -274747984183296 -31701690482688 -2028908190892032 -4734119112081408 -3888740699209728 -1352605460594688 -169075682574336", "new_number": "12.5", "id": 358, "operator_tex": "\\theta^4+2^{2} x\\left(43\\theta^4+22\\theta^3+25\\theta^2+14\\theta+3\\right)+2^{4} x^{2}\\left(753\\theta^4+924\\theta^3+1107\\theta^2+622\\theta+141\\right)+2^{7} x^{3}\\left(3377\\theta^4+7218\\theta^3+9261\\theta^2+5764\\theta+1455\\right)+2^{10} x^{4}\\left(7570\\theta^4+24718\\theta^3+34375\\theta^2+21933\\theta+5310\\right)+2^{12} 3^{2} x^{5}\\left(901\\theta^4+5118\\theta^3+5777\\theta^2-84\\theta-1829\\right)-2^{14} 3^{2} x^{6}\\left(7783\\theta^4+33872\\theta^3+83851\\theta^2+107556\\theta+49489\\right)-2^{17} 3^{3} x^{7}\\left(4895\\theta^4+28154\\theta^3+69267\\theta^2+83564\\theta+36929\\right)-2^{20} 3^{4} x^{8}\\left(44\\theta^4+528\\theta^3+247\\theta^2+240\\theta+274\\right)+2^{23} 3^{5} x^{9}\\left(664\\theta^4+4760\\theta^3+13781\\theta^2+17353\\theta+7679\\right)+2^{26} 3^{6} x^{10}(\\theta+1)(109\\theta^3+651\\theta^2+1373\\theta+933)-2^{29} 3^{7} x^{11}(\\theta+1)(\\theta+2)(27\\theta^2+153\\theta+199)-2^{33} 3^{9} x^{12}(\\theta+1)(\\theta+2)^2(\\theta+3)", "superseek": "4 2252/9", "discriminant": "12 1 172 12048 432256 7751680 33214464 -1147650048 -17323130880 -3737124864 1353518678016 5332537442304 -31701690482688 -169075682574336", "aesz": null, "n_sing_complex": "2", "inst_int": "", "c2h": null, "hash": "bb257a283455fdd1fa17fef9649505e3", "dim_h": null, "inst": " 4 -31 2252/9 -11109/4 33312 -4091081/9 6559596 -399687825/4 1577400224 -25647405040", "cleanlist": "True", "n_sing_real": "6", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "8", "laurent": null, "discriminant_tex": "-(16z+1)(432z^2+36z+1)(24z+1)^2(288z^2+48z+1)^2(8z-1)^3", "discr_factors": "-169075682574336, (z^2+1/6*z+1/288)^2, z^2+1/12*z+1/432, (z+1/24)^2, (z-1/8)^3, z+1/16", "dm_basis": null, "q": "0 1 8 54 -128 -2875 -72144 -100310 -7419904 102483090", "yuk": "1 4 -244 6760 -177988 4164004 -98179432 2249941432 -51160219588 1149924770056", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/12-1/24*2^(1/2)","im":"0","approx_re":"-0.142259","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":"-1/24","im":"-1/72*3^(1/2)","approx_re":"-0.0416666666667","approx_im":"-0.024056","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/24","im":"0","approx_re":"-0.0416666666667","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/24","im":"1/72*3^(1/2)","approx_re":"-0.0416666666667","approx_im":"0.024056","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/12+1/24*2^(1/2)","im":"0","approx_re":"-0.024408","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":"1/8","im":"0","approx_re":"0.125","approx_im":"0.0","exponents":["0","1/2","3/2","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, -140*X^4-152*X^3-140*X^2-64*X-12, 8736*X^4+17088*X^3+20592*X^2+12640*X+3216, -315392*X^4-824832*X^3-1141056*X^2-811072*X-236352, 7199488*X^4+22632448*X^3+33786112*X^2+25145856*X+7554816, -104279040*X^4-378722304*X^3-599851008*X^2-439520256*X-124710912, 860700672*X^4+3588636672*X^3+5853929472*X^2+3884212224*X+863797248, -1825210368*X^4-9822339072*X^3-9894887424*X^2+8154611712*X+9521528832, -34791358464*X^4-172884492288*X^3-449399881728*X^2-605350526976*X-289478541312, 286399660032*X^4+1812675428352*X^3+4617302704128*X^2+5673210347520*X+2552626151424, 12230590464*(X+1)*(X^3-105*X^2-277*X-267), -73383542784*(X+1)*(X+2)*(93*X^2+441*X+607), 7925422620672*(X+3)*(X+2)*(X+1)*(X+6), 63403380965376*(X+1)*(X+2)*(X+3)*(X+4)]", "text": "This is operator \"13.10\" from ...", "degz": 13, "h3": null, "sol": "1 12 180 2928 47556 674352 5050224 -159433920 -10791594684 -419663644368", "n_discr_factors": "5", "c3": null, "operator": "4 13 0 0 0 0 1 -12 -64 -140 -152 -140 3216 12640 20592 17088 8736 -236352 -811072 -1141056 -824832 -315392 7554816 25145856 33786112 22632448 7199488 -124710912 -439520256 -599851008 -378722304 -104279040 863797248 3884212224 5853929472 3588636672 860700672 9521528832 8154611712 -9894887424 -9822339072 -1825210368 -289478541312 -605350526976 -449399881728 -172884492288 -34791358464 2552626151424 5673210347520 4617302704128 1812675428352 286399660032 -3265567653888 -6653441212416 -4672085557248 -1271981408256 12230590464 -89087620939776 -198355716145152 -155279576530944 -52836150804480 -6824669478912 285315214344192 570630428688384 372494863171584 95105071448064 7925422620672 1521681143169024 3170169048268800 2219118333788160 634033809653760 63403380965376", "new_number": "13.10", "id": 362, "operator_tex": "\\theta^4-2^{2} x\\left(35\\theta^4+38\\theta^3+35\\theta^2+16\\theta+3\\right)+2^{4} x^{2}\\left(546\\theta^4+1068\\theta^3+1287\\theta^2+790\\theta+201\\right)-2^{6} x^{3}\\left(4928\\theta^4+12888\\theta^3+17829\\theta^2+12673\\theta+3693\\right)+2^{8} x^{4}\\left(28123\\theta^4+88408\\theta^3+131977\\theta^2+98226\\theta+29511\\right)-2^{10} 3^{2} x^{5}\\left(11315\\theta^4+41094\\theta^3+65088\\theta^2+47691\\theta+13532\\right)+2^{13} 3^{2} x^{6}\\left(11674\\theta^4+48674\\theta^3+79399\\theta^2+52683\\theta+11716\\right)-2^{15} 3^{3} x^{7}\\left(2063\\theta^4+11102\\theta^3+11184\\theta^2-9217\\theta-10762\\right)-2^{17} 3^{4} x^{8}\\left(3277\\theta^4+16284\\theta^3+42329\\theta^2+57018\\theta+27266\\right)+2^{20} 3^{5} x^{9}\\left(1124\\theta^4+7114\\theta^3+18121\\theta^2+22265\\theta+10018\\right)+2^{24} 3^{6} x^{10}(\\theta+1)(\\theta^3-105\\theta^2-277\\theta-267)-2^{25} 3^{7} x^{11}(\\theta+1)(\\theta+2)(93\\theta^2+441\\theta+607)+2^{27} 3^{10} x^{12}(\\theta+3)(\\theta+2)(\\theta+1)(\\theta+6)+2^{30} 3^{10} x^{13}(\\theta+1)(\\theta+2)(\\theta+3)(\\theta+4)", "superseek": "4 -628/9", "discriminant": "13 1 -140 8736 -315392 7199488 -104279040 860700672 -1825210368 -34791358464 286399660032 12230590464 -6824669478912 7925422620672 63403380965376", "aesz": null, "n_sing_complex": "4", "inst_int": "", "c2h": null, "hash": "2a9fda379889eb2fd218bd01f2520f7a", "dim_h": null, "inst": " 4 5 -628/9 -2823/4 672 133867/9 207788 15579985/4 94033312/3 -299026336", "cleanlist": "True", "n_sing_real": "5", "sol_explicit": "", "n_sing_rational": "6", "n_sing": "9", "laurent": null, "discriminant_tex": "(8z-1)(10368z^3-1728z^2+72z-1)(12z-1)^2(288z^2-24z+1)^2(4z+1)^3", "discr_factors": "63403380965376, z-1/8, z^3-1/6*z^2+1/144*z-1/10368, (z-1/12)^2, (z+1/4)^3, (z^2-1/12*z+1/288)^2", "dm_basis": null, "q": "0 1 -16 198 -1760 13349 -57888 -559014 17566336 -323621262", "yuk": "1 4 44 -1880 -45124 84004 3210968 71271288 1994192956 22850092936", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/4","im":"0","approx_re":"-0.25","approx_im":"0.0","exponents":["0","1/2","3/2","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":"-1/72*2^(1/3)-1/144*2^(2/3)+1/18","im":"-1/24*3^(1/2)*(1/3*2^(1/3)-1/6*2^(2/3))","approx_re":"0.027033","approx_im":"-0.011216","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/72*2^(1/3)-1/144*2^(2/3)+1/18","im":"1/24*3^(1/2)*(1/3*2^(1/3)-1/6*2^(2/3))","approx_re":"0.027033","approx_im":"0.011216","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/24","im":"-1/24","approx_re":"0.0416666666667","approx_im":"-0.0416666666667","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"1/24","im":"1/24","approx_re":"0.0416666666667","approx_im":"0.0416666666667","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"1/12","im":"0","approx_re":"0.0833333333333","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"1/36*2^(1/3)+1/72*2^(2/3)+1/18","im":"0","approx_re":"0.112601","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","3","4"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -152*X^4-200*X^3-212*X^2-112*X-24, 9872*X^4+25568*X^3+37776*X^2+28992*X+9376, -364032*X^4-1399808*X^3-2642176*X^2-2539008*X-1014016, 8529920*X^4+43130880*X^3+98770944*X^2+112343040*X+52101120, -135135232*X^4-830013440*X^3-2213789696*X^2-2879913984*X-1501495296, 1517879296*X^4+10569777152*X^3+31405178880*X^2+45223772160*X+25817448448, -12704546816*X^4-93967089664*X^3-293598134272*X^2-446554963968*X-269278511104, 83248545792*X^4+626159255552*X^3+1939722993664*X^2+2903272062976*X+1730242674688, -436207616000*X^4-3331284008960*X^3-10178669838336*X^2-14365726081024*X-7823954018304, 1791001362432*X^4+13958643712000*X^3+44105019162624*X^2+63200443760640*X+33853200662528, -5634997092352*X^4-43843026157568*X^3-140393890971648*X^2-210762635149312*X-122007135977472, 13194139533312*X^4+107752139522048*X^3+340298848796672*X^2+490931941801984*X+272060408397824, -1099511627776*(2*X+5)^4]", "text": "This is operator \"13.3\" from ...", "degz": 13, "h3": null, "sol": "1 24 464 8832 178960 4010368 100357376 2772019200 82738408720 2613822935424", "n_discr_factors": "4", "c3": null, "operator": "4 13 0 0 0 0 1 -24 -112 -212 -200 -152 9376 28992 37776 25568 9872 -1014016 -2539008 -2642176 -1399808 -364032 52101120 112343040 98770944 43130880 8529920 -1501495296 -2879913984 -2213789696 -830013440 -135135232 25817448448 45223772160 31405178880 10569777152 1517879296 -269278511104 -446554963968 -293598134272 -93967089664 -12704546816 1730242674688 2903272062976 1939722993664 626159255552 83248545792 -7823954018304 -14365726081024 -10178669838336 -3331284008960 -436207616000 33853200662528 63200443760640 44105019162624 13958643712000 1791001362432 -122007135977472 -210762635149312 -140393890971648 -43843026157568 -5634997092352 272060408397824 490931941801984 340298848796672 107752139522048 13194139533312 -687194767360000 -1099511627776000 -659706976665600 -175921860444160 -17592186044416", "new_number": "13.3", "id": 371, "operator_tex": "\\theta^4-2^{2} x\\left(38\\theta^4+50\\theta^3+53\\theta^2+28\\theta+6\\right)+2^{4} x^{2}\\left(617\\theta^4+1598\\theta^3+2361\\theta^2+1812\\theta+586\\right)-2^{8} x^{3}\\left(1422\\theta^4+5468\\theta^3+10321\\theta^2+9918\\theta+3961\\right)+2^{11} x^{4}\\left(4165\\theta^4+21060\\theta^3+48228\\theta^2+54855\\theta+25440\\right)-2^{14} x^{5}\\left(8248\\theta^4+50660\\theta^3+135119\\theta^2+175776\\theta+91644\\right)+2^{16} x^{6}\\left(23161\\theta^4+161282\\theta^3+479205\\theta^2+690060\\theta+393943\\right)-2^{20} x^{7}\\left(12116\\theta^4+89614\\theta^3+279997\\theta^2+425868\\theta+256804\\right)+2^{23} x^{8}\\left(9924\\theta^4+74644\\theta^3+231233\\theta^2+346097\\theta+206261\\right)-2^{27} x^{9}\\left(3250\\theta^4+24820\\theta^3+75837\\theta^2+107033\\theta+58293\\right)+2^{28} x^{10}\\left(6672\\theta^4+52000\\theta^3+164304\\theta^2+235440\\theta+126113\\right)-2^{32} x^{11}\\left(1312\\theta^4+10208\\theta^3+32688\\theta^2+49072\\theta+28407\\right)+2^{36} x^{12}\\left(192\\theta^4+1568\\theta^3+4952\\theta^2+7144\\theta+3959\\right)-2^{40} x^{13}\\left((2\\theta+5)^4\\right)", "superseek": "4 52", "discriminant": "13 1 -152 9872 -364032 8529920 -135135232 1517879296 -12704546816 83248545792 -436207616000 1791001362432 -5634997092352 13194139533312 -17592186044416", "aesz": null, "n_sing_complex": "2", "inst_int": "", "c2h": null, "hash": "9127ce057848ca38f220a7bb67e245a2", "dim_h": null, "inst": " 4 7/2 52 500 2796 108891/2 523876 8014175 112614496 3281174301/2", "cleanlist": "True", "n_sing_real": "6", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "8", "laurent": null, "discriminant_tex": "-(1-48z+256z^2)(8z-1)^2(512z^3-32z^2+20z-1)^2(16z-1)^3", "discr_factors": "-17592186044416, (z^3-1/16*z^2+5/128*z-1/512)^2, 1/256-3/16*z+z^2, (z-1/8)^2, (z-1/16)^3", "dm_basis": null, "q": "0 1 -16 192 -2304 24240 -254976 2316288 -22216704 157621400", "yuk": "1 4 32 1408 32032 349504 11761664 179689472 4103289632 82095968992", "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":"-1/96*(64+3*3165^(1/2))^(1/3)+29/96/(64+3*3165^(1/2))^(1/3)+1/48","im":"-1/8*3^(1/2)*(1/12*(64+3*3165^(1/2))^(1/3)+29/12/(64+3*3165^(1/2))^(1/3))","approx_re":"0.005863","approx_im":"-0.196043","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/96*(64+3*3165^(1/2))^(1/3)+29/96/(64+3*3165^(1/2))^(1/3)+1/48","im":"1/8*3^(1/2)*(1/12*(64+3*3165^(1/2))^(1/3)+29/12/(64+3*3165^(1/2))^(1/3))","approx_re":"0.005863","approx_im":"0.196043","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"3/32-1/32*5^(1/2)","im":"0","approx_re":"0.023873","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/48*(64+3*3165^(1/2))^(1/3)-29/48/(64+3*3165^(1/2))^(1/3)+1/48","im":"0","approx_re":"0.050774","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","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"1/8","im":"0","approx_re":"0.125","approx_im":"0.0","exponents":["0","0","-1","1"],"monodromy":[],"monodromy_dm":[]},{"re":"3/32+1/32*5^(1/2)","im":"0","approx_re":"0.163627","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":["5/2","5/2","5/2","5/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, 4*(X^2+X+1)*(18*X^2+18*X+5), 5792*X+5392*X^2+2496*X^3+2160+624*X^4, -923776*X^2-829056*X-277056-431616*X^3-71936*X^4, -25691904-53942784*X^2-2392320*X^4-62662656*X-19138560*X^3, -451584*(X+4)*(X+1)*(62*X^2+310*X+345), -113799168*(X+5)*(X+4)*(X+2)*(X+1)]", "text": "This is operator \"6.30\" from ...", "degz": 6, "h3": null, "sol": "1 -20 480 -11264 285712 -7049280 184611840 -4663941120 124864396560 -3189771901760", "n_discr_factors": "3", "c3": null, "operator": "4 6 0 0 0 0 1 20 92 164 144 72 2160 5792 5392 2496 624 -277056 -829056 -923776 -431616 -71936 -25691904 -62662656 -53942784 -19138560 -2392320 -623185920 -1338946560 -967744512 -279982080 -27998208 -4551966720 -8876335104 -5576159232 -1365590016 -113799168", "new_number": "6.30", "id": 415, "operator_tex": "\\theta^4+2^{2} x(\\theta^2+\\theta+1)(18\\theta^2+18\\theta+5)+2^{4} x^{2}\\left(39\\theta^4+156\\theta^3+337\\theta^2+362\\theta+135\\right)-2^{6} x^{3}\\left(1124\\theta^4+6744\\theta^3+14434\\theta^2+12954\\theta+4329\\right)-2^{8} 3 7 x^{4}\\left(445\\theta^4+3560\\theta^3+10034\\theta^2+11656\\theta+4779\\right)-2^{10} 3^{2} 7^{2} x^{5}(\\theta+4)(\\theta+1)(62\\theta^2+310\\theta+345)-2^{12} 3^{4} 7^{3} x^{6}(\\theta+5)(\\theta+4)(\\theta+2)(\\theta+1)", "superseek": "4 436", "discriminant": "6 1 72 624 -71936 -2392320 -27998208 -113799168", "aesz": null, "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "bc45bbf252bff0ad05b31f8e076f64cb", "dim_h": null, "inst": " 4 71/2 436 6728 127212 5573691/2 67561060 1758612780 48269531104 2762033837149/2", "cleanlist": "True", "n_sing_real": "4", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "4", "laurent": null, "discriminant_tex": "-(-1+36z)(12z+1)^2(28z+1)^3", "discr_factors": "-113799168, (z+1/28)^3, -1/36+z, (z+1/12)^2", "dm_basis": null, "q": "0 1 12 -16 -4416 -124112 -2325888 -34700544 -514879488 -11862404456", "yuk": "1 4 288 11776 430880 15901504 601970688 23173443584 900410174240 35188488186592", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/12","im":"0","approx_re":"-0.0833333333333","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/28","im":"0","approx_re":"-0.0357142857143","approx_im":"0.0","exponents":["0","0","-1/4","1/4"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"1/36","im":"0","approx_re":"0.0277777777778","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1","2","4","5"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -48*X^4+96*X^3+92*X^2+44*X+8, -4096*X^4-50176*X^3-61952*X^2-28544*X-5248, 126976*X^4-122880*X^3-3571712*X^2-3280896*X-888832, -27525120*X^4-11796480*X^3+261881856*X^2+190906368*X+45416448, -809500672*X^4-8346664960*X^3-7846494208*X^2-1582301184*X+278921216, 3087007744*X^4+185623117824*X^3+156564979712*X^2+45097156608*X+1275068416, -2560874250240*X^4-4992899481600*X^3-3741990256640*X^2-1245540515840*X-150323855360, -1717986918400*(X+1)^4]", "text": "This is operator \"8.66\" from ...", "degz": 8, "h3": null, "sol": "1 -8 424 -6272 859816 2204992 2994022144 96187875328 15174775326376 906671921263552", "n_discr_factors": "3", "c3": null, "operator": "4 8 0 0 0 0 1 8 44 92 96 -48 -5248 -28544 -61952 -50176 -4096 -888832 -3280896 -3571712 -122880 126976 45416448 190906368 261881856 -11796480 -27525120 278921216 -1582301184 -7846494208 -8346664960 -809500672 1275068416 45097156608 156564979712 185623117824 3087007744 -150323855360 -1245540515840 -3741990256640 -4992899481600 -2560874250240 -1717986918400 -6871947673600 -10307921510400 -6871947673600 -1717986918400", "new_number": "8.66", "id": 514, "operator_tex": "\\theta^4-2^{2} x\\left(12\\theta^4-24\\theta^3-23\\theta^2-11\\theta-2\\right)-2^{7} x^{2}\\left(32\\theta^4+392\\theta^3+484\\theta^2+223\\theta+41\\right)+2^{12} x^{3}\\left(31\\theta^4-30\\theta^3-872\\theta^2-801\\theta-217\\right)-2^{16} 3 x^{4}\\left(140\\theta^4+60\\theta^3-1332\\theta^2-971\\theta-231\\right)-2^{20} x^{5}\\left(772\\theta^4+7960\\theta^3+7483\\theta^2+1509\\theta-266\\right)+2^{26} x^{6}\\left(46\\theta^4+2766\\theta^3+2333\\theta^2+672\\theta+19\\right)-2^{30} 5 x^{7}\\left(477\\theta^4+930\\theta^3+697\\theta^2+232\\theta+28\\right)-2^{36} 5^{2} x^{8}\\left((\\theta+1)^4\\right)", "superseek": "4 12332", "discriminant": "8 1 -48 -4096 126976 -27525120 -809500672 3087007744 -2560874250240 -1717986918400", "aesz": null, "n_sing_complex": "5", "inst_int": "", "c2h": null, "hash": "d941d8e5d41f2e7285be47b4fbc81023", "dim_h": null, "inst": " 4 500 12332 358180 15491360 885685372 54935795244 3548002584068 239694499238576 16917401503904160", "cleanlist": "True", "n_sing_real": "2", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "7", "laurent": null, "discriminant_tex": "-(64z+1)(4096z^3+6144z^2+48z-1)(1-32z+2560z^2)^2", "discr_factors": "-1717986918400, z+1/64, (1/2560-1/80*z+z^2)^2, z^3+3/2*z^2+3/256*z-1/4096", "dm_basis": null, "q": "0 1 12 -930 -52496 -1340883 -28378200 -2072239982 -209770968384 -17118246818298", "yuk": "1 4 4004 332968 22927524 1936420004 191308377320 18842977768696 1816577345970340 174737289945254872", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-3/64*(-148+4*I*3^(1/2))^(1/3)-21/16/(-148+4*I*3^(1/2))^(1/3)-1/2+1/32*I*3^(1/2)*(3/2*(-148+4*I*3^(1/2))^(1/3)-42/(-148+4*I*3^(1/2))^(1/3))","im":"0","approx_re":"-1.492036","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-3/64*(-148+4*I*3^(1/2))^(1/3)-21/16/(-148+4*I*3^(1/2))^(1/3)-1/2-1/32*I*3^(1/2)*(3/2*(-148+4*I*3^(1/2))^(1/3)-42/(-148+4*I*3^(1/2))^(1/3))","im":"0","approx_re":"-0.017379","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/64","im":"0","approx_re":"-0.015625","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":"1/160","im":"-3/160","approx_re":"0.00625","approx_im":"-0.01875","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"1/160","im":"3/160","approx_re":"0.00625","approx_im":"0.01875","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"3/32*(-148+4*I*3^(1/2))^(1/3)+21/8/(-148+4*I*3^(1/2))^(1/3)-1/2","im":"0","approx_re":"0.009415","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": "[X^4, -80*X^4-136*X^3-116*X^2-48*X-8, 2000*X^4+5792*X^3+7536*X^2+4544*X+1056, -24448*X^4-77568*X^3-109440*X^2-75264*X-19712, 196608*X^4+565248*X^3+575488*X^2+274432*X+50176, -1097728*X^4-3112960*X^3-3055616*X^2-1015808*X-24576, 3997696*X^4+9830400*X^3+11337728*X^2+6094848*X+1245184, -9961472*X^4-26214400*X^3-29360128*X^2-16252928*X-3670016, 8388608*(X+1)^4]", "text": "This is operator \"8.69\" from ...", "degz": 8, "h3": null, "sol": "1 8 128 2816 74896 2247808 73109504 2514939904 90124906768 3331662028928", "n_discr_factors": "4", "c3": null, "operator": "4 8 0 0 0 0 1 -8 -48 -116 -136 -80 1056 4544 7536 5792 2000 -19712 -75264 -109440 -77568 -24448 50176 274432 575488 565248 196608 -24576 -1015808 -3055616 -3112960 -1097728 1245184 6094848 11337728 9830400 3997696 -3670016 -16252928 -29360128 -26214400 -9961472 8388608 33554432 50331648 33554432 8388608", "new_number": "8.69", "id": 517, "operator_tex": "\\theta^4-2^{2} x\\left(20\\theta^4+34\\theta^3+29\\theta^2+12\\theta+2\\right)+2^{4} x^{2}\\left(125\\theta^4+362\\theta^3+471\\theta^2+284\\theta+66\\right)-2^{7} x^{3}\\left(191\\theta^4+606\\theta^3+855\\theta^2+588\\theta+154\\right)+2^{10} x^{4}\\left(192\\theta^4+552\\theta^3+562\\theta^2+268\\theta+49\\right)-2^{13} x^{5}\\left(134\\theta^4+380\\theta^3+373\\theta^2+124\\theta+3\\right)+2^{16} x^{6}\\left(61\\theta^4+150\\theta^3+173\\theta^2+93\\theta+19\\right)-2^{19} x^{7}\\left(19\\theta^4+50\\theta^3+56\\theta^2+31\\theta+7\\right)+2^{23} x^{8}\\left((\\theta+1)^4\\right)", "superseek": "4 52", "discriminant": "8 1 -80 2000 -24448 196608 -1097728 3997696 -9961472 8388608", "aesz": null, "n_sing_complex": "2", "inst_int": "", "c2h": null, "hash": "e303d10e77a367612be2fb706f37b895", "dim_h": null, "inst": " 4 15/2 52 1563/2 7276 210627/2 1572452 97434231/4 409802336 14179335317/2", "cleanlist": "True", "n_sing_real": "5", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "7", "laurent": null, "discriminant_tex": "(16z-1)(8z-1)(64z^2-48z+1)(1-4z+32z^2)^2", "discr_factors": "8388608, z-1/8, z^2-3/4*z+1/64, z-1/16, (1/32-1/8*z+z^2)^2", "dm_basis": null, "q": "0 1 -16 160 -1536 10512 -79872 128512 -3670016 -65954024", "yuk": "1 4 64 1408 50080 909504 22749184 539351040 12471631648 298745904352", "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":"3/8-1/4*2^(1/2)","im":"0","approx_re":"0.021447","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/16","im":"-1/16*7^(1/2)","approx_re":"0.0625","approx_im":"-0.165359","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":"1/16","im":"1/16*7^(1/2)","approx_re":"0.0625","approx_im":"0.165359","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":"3/8+1/4*2^(1/2)","im":"0","approx_re":"0.728553","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": "[X^4, -4*X*(22*X^3+14*X^2+9*X+2), 1744*X^4-1184*X^3-4688*X^2-4128*X-1280, 9984*X^4+105984*X^3+172544*X^2+129024*X+36864, -414720*X^4-1198080*X^3-1352704*X^2-434176*X+106496, -16384*(X+1)*(12*X^3+558*X^2+1495*X+1255), 65536*(X+1)*(X+2)*(467*X^2+1593*X+1540), -5242880*(X+3)*(X+2)*(X+1)*(X-40), -734003200*(X+1)*(X+2)*(X+3)*(X+4)]", "text": "This is operator \"8.74\" from ...", "degz": 8, "h3": null, "sol": "1 0 80 1536 56592 2065920 82730240 3464724480 150634585360 6736953431040", "n_discr_factors": "4", "c3": null, "operator": "4 8 0 0 0 0 1 0 -8 -36 -56 -88 -1280 -4128 -4688 -1184 1744 36864 129024 172544 105984 9984 106496 -434176 -1352704 -1198080 -414720 -20561920 -45056000 -33636352 -9338880 -196608 201850880 511574016 475332608 196214784 30605312 1258291200 2275409920 1200619520 178257920 -5242880 -17616076800 -36700160000 -25690112000 -7340032000 -734003200", "new_number": "8.74", "id": 523, "operator_tex": "\\theta^4-2^{2} x\\theta(22\\theta^3+14\\theta^2+9\\theta+2)+2^{4} x^{2}\\left(109\\theta^4-74\\theta^3-293\\theta^2-258\\theta-80\\right)+2^{8} x^{3}\\left(39\\theta^4+414\\theta^3+674\\theta^2+504\\theta+144\\right)-2^{10} x^{4}\\left(405\\theta^4+1170\\theta^3+1321\\theta^2+424\\theta-104\\right)-2^{14} x^{5}(\\theta+1)(12\\theta^3+558\\theta^2+1495\\theta+1255)+2^{16} x^{6}(\\theta+1)(\\theta+2)(467\\theta^2+1593\\theta+1540)-2^{20} 5 x^{7}(\\theta+3)(\\theta+2)(\\theta+1)(\\theta-40)-2^{22} 5^{2} 7 x^{8}(\\theta+1)(\\theta+2)(\\theta+3)(\\theta+4)", "superseek": "4 436", "discriminant": "8 1 -88 1744 9984 -414720 -196608 30605312 -5242880 -734003200", "aesz": null, "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "a0fbd8561e58a032d489a1dabee1e026", "dim_h": null, "inst": " 4 71/2 436 6728 127212 5573691/2 67561060 1758612780 48269531104 2762033837149/2", "cleanlist": "True", "n_sing_real": "5", "sol_explicit": "", "n_sing_rational": "5", "n_sing": "5", "laurent": null, "discriminant_tex": "-(-1+56z)(20z-1)^2(8z-1)^2(8z+1)^3", "discr_factors": "-734003200, (z-1/8)^2, (z-1/20)^2, -1/56+z, (z+1/8)^3", "dm_basis": null, "q": "0 1 -8 -96 -256 -10192 -315648 -7842304 -224575488 -6845562216", "yuk": "1 4 288 11776 430880 15901504 601970688 23173443584 900410174240 35188488186592", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/8","im":"0","approx_re":"-0.125","approx_im":"0.0","exponents":["0","0","-1/4","1/4"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"1/56","im":"0","approx_re":"0.0178571428571","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/20","im":"0","approx_re":"0.05","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","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1","2","3","4"],"monodromy":[],"monodromy_dm":[]}]}]}