{"count": 22, "status":"OK", "data":[{"pols": "[X^4, -2*(2*X+1)^2*(7*X^2+7*X+3), 324*(2*X+1)*(X+1)^2*(2*X+3)]", "text": "Hadamard product $I \\ast \\delta$", "degz": 2, "h3": null, "sol": "1 6 54 60 -19530 -755244 -17954244 -226007496 3762274230 350186668260", "n_discr_factors": "1", "c3": null, "operator": "4 2 0 0 0 0 1 -6 -38 -94 -112 -56 972 4536 7452 5184 1296", "new_number": "2.54", "id": 49, "operator_tex": "\\theta^4-2 x(2\\theta+1)^2(7\\theta^2+7\\theta+3)+2^{2} 3^{4} x^{2}(2\\theta+1)(\\theta+1)^2(2\\theta+3)", "superseek": "2 -104", "discriminant": "2 1 -56 1296", "aesz": "41", "n_sing_complex": "2", "inst_int": "", "c2h": null, "hash": "a9ddeed4299f59fb9ac9f6f248383b8f", "dim_h": null, "inst": " 2 -7 -104 -588 3300 128384 1336396 -5019718 -393656474 -5619028410", "cleanlist": "True", "n_sing_real": "1", "sol_explicit": "", "n_sing_rational": "1", "n_sing": "3", "laurent": null, "discriminant_tex": "1-56z+1296z^2", "discr_factors": "1296, 1/1296-7/162*z+z^2", "dm_basis": 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{"pols": "[X^4, -6*(2*X+1)^2*(3*X^2+3*X+1), -108*(2*X+1)*(X+1)^2*(2*X+3)]", "text": "Hadamard product $I \\ast \\zeta$", "degz": 2, "h3": "36", "sol": "1 6 162 6180 284130 14553756 800506476 46305405432 2780921118690 171927372671340", "n_discr_factors": "1", "c3": "-120", "operator": "4 2 0 0 0 0 1 -6 -42 -114 -144 -72 -324 -1512 -2484 -1728 -432", "new_number": "2.56", "id": 51, "operator_tex": "\\theta^4-2 3 x(2\\theta+1)^2(3\\theta^2+3\\theta+1)-2^{2} 3^{3} x^{2}(2\\theta+1)(\\theta+1)^2(2\\theta+3)", "superseek": "6 608", "discriminant": "2 1 -72 -432", "aesz": "185\n", "n_sing_complex": "0", "inst_int": "", "c2h": "84", "hash": "80506439e4d4fdc41f5b16e246a69fbf", "dim_h": "13", "inst": " 6 93/2 608 11754 275352 7385808 217059960 6828131178 678725472244/3 7810724839074", "cleanlist": "True", "n_sing_real": "3", "sol_explicit": "", "n_sing_rational": "1", "n_sing": "3", "laurent": null, "discriminant_tex": "1-72z-432z^2", "discr_factors": "-432, -1/432+1/6*z+z^2", "dm_basis": ["-120*lambda", "19/2", "1", "1", "-7/2", "-18", "-1", "0", "0", "36", "0", "0", "-36", "0", "0", "0"], "q": "0 1 -18 27 -36 -22167 -482598 -16710093 -589136328 -21533578893", "yuk": "1 6 378 16422 752634 34419006 1595351322 74451566286 3496003915770 164930289771714", "gv2": null, "gv0": "216 1674 21888 423144 9912672 265889088 7814158560 245812722408 8144705666928 281186094206664", "gv1": "0 0 0 0 432 374244 47016720 3817401912 257168084992 15642903869352 894095532071136 49057031338312056 2616721485814811088 136776743210373105060 7042999506203371710528 358568495069148149096088 18095776638485891677952544 906965529519461742959059708 45208728659669539002191355600", "spectrum":[{"re":"-1/12-1/18*3^(1/2)","im":"0","approx_re":"-0.179558","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":["8+480*lambda","-7/2-240*lambda","91/72+260/3*lambda","-.302703484-140/3*lambda","26","-12","169/36","-91/72-260/3*lambda","72","-36","14","-7/2-240*lambda","144","-72","26","-6-480*lambda"],"monodromy_dm":["-13","-100","-6","-4","7","51","3","2","-168","-1200","-71","-48","126","900","54","37"]},{"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","36","1","0","0","0","1","1"]},{"re":"-1/12+1/18*3^(1/2)","im":"0","approx_re":"0.012892","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":["1+120*lambda","0","35/3*lambda",".9393573e-2","7/2","1","49/144","-35/3*lambda","0","0","1","0","36","0","7/2","1-120*lambda"],"monodromy_dm":["1","-13","-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","1","1","3/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -65*X^4-130*X^3-105*X^2-40*X-6, 4*(4*X+3)*(X+1)^2*(4*X+5)]", "text": "A-incarnation: $X(1, 1, 1, 1, 1, 1) \\subset  Grass(3, 6)$", "degz": 2, "h3": "42", "sol": "1 6 126 3948 149310 6300756 285675516 13625781336 674863457598 34412622769140", "n_discr_factors": "2", "c3": "-96", "operator": "4 2 0 0 0 0 1 -6 -40 -105 -130 -65 60 248 380 256 64", "new_number": "2.62", "id": 58, "operator_tex": "\\theta^4-x\\left(65\\theta^4+130\\theta^3+105\\theta^2+40\\theta+6\\right)+2^{2} x^{2}(4\\theta+3)(\\theta+1)^2(4\\theta+5)", "superseek": "5 312", "discriminant": "2 1 -65 64", "aesz": "28", "n_sing_complex": "0", "inst_int": "", "c2h": "84", "hash": "06dd455cafc5097e4f671d385984c1a2", "dim_h": "14", "inst": " 5 28 312 4808 91048 1965908 325780668/7 1178954560 31456810796 874502186004", "cleanlist": "True", "n_sing_real": "3", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "3", "laurent": null, "discriminant_tex": "(64z-1)(z-1)", "discr_factors": "64, z-1/64, z-1", "dm_basis": ["-96*lambda", "21/2", "1", "1", "-7/2", "-21", "-1", "0", "0", "42", "0", "0", "-42", "0", "0", "0"], "q": "0 1 -16 64 -552 -5632 -165472 -4342772 -123146768 -3627953792", "yuk": "1 5 229 8429 307941 11381005 424644781 15963252737 603625042661 22932015078713", "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","42","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+96*lambda","0","8*lambda",".5153046e-2","7/2","1","7/24","-8*lambda","0","0","1","0","42","0","7/2","1-96*lambda"],"monodromy_dm":["1","-14","-1","-1","0","1","0","0","0","0","1","0","0","0","0","1"]},{"re":"1","im":"0","approx_re":"1.0","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":["16.+8.373926794*I","-5-576*lambda","5/4+144*lambda","-.204864220-.332298682*I","63","-20","21/4","-5/4-144*lambda","252","-84","22","-5-576*lambda","756+1/500000000*I","-252","63","-14.-8.373926794*I"],"monodromy_dm":["-35","-378","-24","-18","12","127","8","6","-252","-2646","-167","-126","156","1638","104","79"]},{"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, -43*X^4-86*X^3-77*X^2-34*X-6, 12*(X+1)^2*(6*X+5)*(6*X+7)]", "text": "This is operator \"2.64\" from ...", "degz": 2, "h3": "132", "sol": "1 6 66 924 14850 261756 4933236 97806456 2017042434 42917560620", "n_discr_factors": "2", "c3": "-96", "operator": "4 2 0 0 0 0 1 -6 -34 -77 -86 -43 420 1704 2580 1728 432", "new_number": "2.64", "id": 60, "operator_tex": "\\theta^4-x\\left(43\\theta^4+86\\theta^3+77\\theta^2+34\\theta+6\\right)+2^{2} 3 x^{2}(\\theta+1)^2(6\\theta+5)(6\\theta+7)", "superseek": "1 7", "discriminant": "2 1 -43 432", "aesz": "182", "n_sing_complex": "0", "inst_int": "", "c2h": "132", "hash": "89ba4729efa82413b33fe6928ff8d2c9", "dim_h": "33", "inst": " 1 7/4 7 40 270 7913/4 15618 131512 1168395 21654889/2", "cleanlist": "True", "n_sing_real": "3", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "3", "laurent": null, "discriminant_tex": "(27z-1)(16z-1)", "discr_factors": "432, z-1/16, z-1/27", "dm_basis": ["-96*lambda", "55/2", "1", "1", "-11/2", "-66", "-1", "0", "0", "132", "0", "0", "-132", "0", "0", "0"], "q": "0 1 -10 63 -336 1399 -6150 17483 -103744 -85626", "yuk": "1 1 15 190 2575 33751 427506 5356975 67336719 851760145", "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","132","1","0","0","0","1","1"]},{"re":"1/27","im":"0","approx_re":"0.037037037037","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":["1+96*lambda","0","4*lambda",".1639606e-2","11/2","1","11/48","-4*lambda","0","0","1","0","132","0","11/2","1-96*lambda"],"monodromy_dm":["1","-33","-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":["17/4+288*lambda","-13/24-48*lambda","13/96+12*lambda","-.21754163e-1-52/11*lambda","33/2","-7/4","11/16","-13/96-12*lambda","66","-11","15/4","-13/24-48*lambda","396","-66","33/2","-9/4-288*lambda"],"monodromy_dm":["-5","-132","-7/2","-3","1","23","583333/1000000","1/2","-66","-1452","-75/2","-33","45","990","105/4","47/2"]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["5/6","1","1","7/6"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -70*X^4-86*X^3-77*X^2-34*X-6, 2025*X^4+4806*X^3+5799*X^2+3390*X+774, -29268*X^4-95904*X^3-135972*X^2-89748*X-22356, 206064*X^4+785376*X^3+1155708*X^2+751356*X+180792, -34992*(4*X+3)*(X+1)^2*(4*X+5)]", "text": "This is operator \"5.102\" from ...", "degz": 5, "h3": "288", "sol": "1 6 54 492 3510 756 -656964 -17079336 -299659338 -3854724060", "n_discr_factors": "3", "c3": "-216", "operator": "4 5 0 0 0 0 1 -6 -34 -77 -86 -70 774 3390 5799 4806 2025 -22356 -89748 -135972 -95904 -29268 180792 751356 1155708 785376 206064 -524880 -2169504 -3324240 -2239488 -559872", "new_number": "5.102", "id": 184, "operator_tex": "\\theta^4-x\\left(70\\theta^4+86\\theta^3+77\\theta^2+34\\theta+6\\right)+3 x^{2}\\left(675\\theta^4+1602\\theta^3+1933\\theta^2+1130\\theta+258\\right)-2^{2} 3^{3} x^{3}\\left(271\\theta^4+888\\theta^3+1259\\theta^2+831\\theta+207\\right)+2^{2} 3^{5} x^{4}\\left(212\\theta^4+808\\theta^3+1189\\theta^2+773\\theta+186\\right)-2^{4} 3^{7} x^{5}(4\\theta+3)(\\theta+1)^2(4\\theta+5)", "superseek": "1 -12", "discriminant": "5 1 -70 2025 -29268 206064 -559872", "aesz": "352", "n_sing_complex": "2", "inst_int": "", "c2h": "216", "hash": "fc8b141522720827b1dd2cd28a232c1b", "dim_h": "66", "inst": " 1 -7/8 -12 -131/4 90 3513/2 10694 -1111/2 -639429 -23067635/4", "cleanlist": "True", "n_sing_real": "3", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "5", "laurent": null, "discriminant_tex": "-(16z-1)(432z^2-36z+1)(-1+9z)^2", "discr_factors": "-559872, (-1/9+z)^2, z^2-1/12*z+1/432, z-1/16", "dm_basis": null, "q": "0 1 -10 87 -564 3295 -18198 81229 -391496 2030976", "yuk": "1 1 -6 -323 -2102 11251 379074 3668043 -286518 -466144064", "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":"1/24","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":"1/72*3^(1/2)","approx_re":"0.0416666666667","approx_im":"0.024056","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":"1/9","im":"0","approx_re":"0.111111111111","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, -120*X^4-180*X^3-136*X^2-46*X-6, 1252*X^4-1592*X^3-5668*X^2-4132*X-1008, 5232*X^4+40512*X^3+28592*X^2+1032*X-3240, -50240*X^4+3200*X^3+135920*X^2+132880*X+38400, -4800*(X+1)^2*(6*X+5)*(6*X+7)]", "text": "This is operator \"5.111\" from ...", "degz": 5, "h3": null, "sol": "1 6 246 13020 832950 59364756 4543863996 365802101496 30576859664310 2631271897080420", "n_discr_factors": "3", "c3": null, "operator": "4 5 0 0 0 0 1 -6 -46 -136 -180 -120 -1008 -4132 -5668 -1592 1252 -3240 1032 28592 40512 5232 38400 132880 135920 3200 -50240 -168000 -681600 -1032000 -691200 -172800", "new_number": "5.111", "id": 194, "operator_tex": "\\theta^4-2 x\\left(60\\theta^4+90\\theta^3+68\\theta^2+23\\theta+3\\right)+2^{2} x^{2}\\left(313\\theta^4-398\\theta^3-1417\\theta^2-1033\\theta-252\\right)+2^{3} x^{3}\\left(654\\theta^4+5064\\theta^3+3574\\theta^2+129\\theta-405\\right)-2^{4} 5 x^{4}\\left(628\\theta^4-40\\theta^3-1699\\theta^2-1661\\theta-480\\right)-2^{6} 3 5^{2} x^{5}(\\theta+1)^2(6\\theta+5)(6\\theta+7)", "superseek": "12 2320", "discriminant": "5 1 -120 1252 5232 -50240 -172800", "aesz": "380", "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "85214e3836a67470a05358a4d38fb124", "dim_h": null, "inst": " 12 511/4 2320 63507 2180312 85468145 3674561480 169146821452 8204014122468 829356661449007/2", "cleanlist": "True", "n_sing_real": "4", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "4", "laurent": null, "discriminant_tex": "-(108z-1)(4z+1)^2(10z-1)^2", "discr_factors": "-172800, (z+1/4)^2, (z-1/10)^2, z-1/108", "dm_basis": null, "q": "0 1 -22 -81 -316 -83913 -3983850 -187254163 -9590018392 -513687167424", "yuk": "1 12 1034 62652 4065482 272539012 18461182994 1260374587652 86603176648906 5980726295341824", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/4","im":"0","approx_re":"-0.25","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"1/108","im":"0","approx_re":"0.00925925925926","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/10","im":"0","approx_re":"0.1","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":["5/6","1","1","7/6"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, 119*X^4-194*X^3-143*X^2-46*X-6, -1656*X^4-26928*X^3-13644*X^2-5400*X-972, -701136*X^4-2029536*X^3-2404404*X^2-1338444*X-274104, -209952*(2*X+1)*(76*X^3+222*X^2+235*X+85), -136048896*(2*X+1)*(X+1)^2*(2*X+3)]", "text": "B-Incarnation as fibre product 62211- 623--1\n\n", "degz": 5, "h3": null, "sol": "1 6 162 7620 334530 18636156 1065953196 64285927992 4049248499010 261172198741740", "n_discr_factors": "3", "c3": null, "operator": "4 5 0 0 0 0 1 -6 -46 -143 -194 119 -972 -5400 -13644 -26928 -1656 -274104 -1338444 -2404404 -2029536 -701136 -17845920 -85030560 -145286784 -109175040 -31912704 -408146688 -1904684544 -3129124608 -2176782336 -544195584", "new_number": "5.122", "id": 206, "operator_tex": "\\theta^4+x\\left(119\\theta^4-194\\theta^3-143\\theta^2-46\\theta-6\\right)-2^{2} 3^{2} x^{2}\\left(46\\theta^4+748\\theta^3+379\\theta^2+150\\theta+27\\right)-2^{2} 3^{4} x^{3}\\left(2164\\theta^4+6264\\theta^3+7421\\theta^2+4131\\theta+846\\right)-2^{5} 3^{8} x^{4}(2\\theta+1)(76\\theta^3+222\\theta^2+235\\theta+85)-2^{8} 3^{12} x^{5}(2\\theta+1)(\\theta+1)^2(2\\theta+3)", "superseek": "19 18641/3", "discriminant": "5 1 119 -1656 -701136 -31912704 -544195584", "aesz": null, "n_sing_complex": "2", "inst_int": "", "c2h": null, "hash": "7cc1a0411f21ffd93f1a9f6468627432", "dim_h": null, "inst": " 19 -170 18641/3 -163734 6446745 -222665252 9253153452 -357793119238 46200606662654/3 -633845739042746", "cleanlist": "True", "n_sing_real": "3", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "5", "laurent": null, "discriminant_tex": "-(81z-1)(1296z^2+56z+1)(1+72z)^2", "discr_factors": "-544195584, (1/72+z)^2, z^2+7/162*z+1/1296, z-1/81", "dm_basis": null, "q": "0 1 -22 309 -14524 682734 -34157886 1607083116 -79509106920 3840673182921", "yuk": "1 19 -1341 167788 -10480317 805843144 -48095528004 3173831634055 -183190087530173 11226747419192710", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-7/324","im":"-1/81*2^(1/2)","approx_re":"-0.0216049382716","approx_im":"-0.017459","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-7/324","im":"1/81*2^(1/2)","approx_re":"-0.0216049382716","approx_im":"0.017459","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/72","im":"0","approx_re":"-0.0138888888889","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":"1/81","im":"0","approx_re":"0.0123456790123","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","1","1","3/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[121*X^4, -11913*X^4-17490*X^3-13827*X^2-5082*X-726, 188032*X^4+183616*X^3-13004*X^2-68376*X-19404, -1508928*X^4-4169088*X^3-7697424*X^2-5862384*X-1454112, 4608*(2*X+1)*(1252*X^3+5442*X^2+6767*X+2625), -11943936*(2*X+1)*(X+1)^2*(2*X+3)]", "text": "This is operator \"5.77\" from ...", "degz": 5, "h3": "33", "sol": "1 6 162 6540 314370 16821756 966410676 58383231192 3661694291970 236408314316460", "n_discr_factors": "3", "c3": "-108", "operator": "4 5 0 0 0 0 121 -726 -5082 -13827 -17490 -11913 -19404 -68376 -13004 183616 188032 -1454112 -5862384 -7697424 -4169088 -1508928 12096000 55374336 87441408 55922688 11538432 -35831808 -167215104 -274710528 -191102976 -47775744", "new_number": "5.77", "id": 290, "operator_tex": "11^{2} \\theta^4-3 11 x\\left(361\\theta^4+530\\theta^3+419\\theta^2+154\\theta+22\\right)+2^{2} x^{2}\\left(47008\\theta^4+45904\\theta^3-3251\\theta^2-17094\\theta-4851\\right)-2^{4} 3 x^{3}\\left(31436\\theta^4+86856\\theta^3+160363\\theta^2+122133\\theta+30294\\right)+2^{9} 3^{2} x^{4}(2\\theta+1)(1252\\theta^3+5442\\theta^2+6767\\theta+2625)-2^{14} 3^{6} x^{5}(2\\theta+1)(\\theta+1)^2(2\\theta+3)", "superseek": "69/11 8883/11", "discriminant": "5 121 -11913 188032 -1508928 11538432 -47775744", "aesz": "307", "n_sing_complex": "2", "inst_int": "", "c2h": "78", "hash": "3a2dcd4c59d8fa5b7c57250efeecba62", "dim_h": "12", "inst": " 69/11 620/11 8883/11 171916/11 4334406/11 11275740 3882344490/11 130168148228/11 4597374907287/11 169191991110988/11", "cleanlist": "True", "n_sing_real": "3", "sol_explicit": "", "n_sing_rational": "5", "n_sing": "5", "laurent": null, "discriminant_tex": "-(81z-1)(64z^2+1)(-11+96z)^2", "discr_factors": "-47775744, z^2+1/64, z-1/81, (-11/96+z)^2", "dm_basis": null, "q": "0 1 -18 15 -744 -14937 -806238 -26117077 -969966144 -37931377338", "yuk": "1 69/11 5029/11 21810 11007653/11 541800819/11 26791403110/11 1331644160139/11 66646102900389/11 3351486307652133/11", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"0","im":"-1/8","approx_re":"0.0","approx_im":"-0.125","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":"0","im":"1/8","approx_re":"0.0","approx_im":"0.125","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/81","im":"0","approx_re":"0.0123456790123","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"11/96","im":"0","approx_re":"0.114583333333","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": "[841*X^4, -76444*X^4-135488*X^3-104748*X^2-37004*X-5046, -363984*X^4-2977536*X^3-5070104*X^2-3166336*X-673380, 3417200*X^4+7725600*X^3-4670100*X^2-11040300*X-3654000, 10000*(2*X+1)*(68*X^3+1842*X^2+2899*X+1215), -5000000*(2*X+1)*(X+1)^2*(2*X+3)]", "text": "This is operator \"5.78\" from ...", "degz": 5, "h3": "29", "sol": "1 6 210 9780 551250 34587756 2330225436 165091881240 12143185630290 919460248406700", "n_discr_factors": "2", "c3": "-104", "operator": "4 5 0 0 0 0 841 -5046 -37004 -104748 -135488 -76444 -673380 -3166336 -5070104 -2977536 -363984 -3654000 -11040300 -4670100 7725600 3417200 12150000 53290000 76400000 37520000 1360000 -15000000 -70000000 -115000000 -80000000 -20000000", "new_number": "5.78", "id": 291, "operator_tex": "29^{2} \\theta^4-2 29 x\\left(1318\\theta^4+2336\\theta^3+1806\\theta^2+638\\theta+87\\right)-2^{2} x^{2}\\left(90996\\theta^4+744384\\theta^3+1267526\\theta^2+791584\\theta+168345\\right)+2^{2} 5^{2} x^{3}\\left(34172\\theta^4+77256\\theta^3-46701\\theta^2-110403\\theta-36540\\right)+2^{4} 5^{4} x^{4}(2\\theta+1)(68\\theta^3+1842\\theta^2+2899\\theta+1215)-2^{6} 5^{7} x^{5}(2\\theta+1)(\\theta+1)^2(2\\theta+3)", "superseek": "248/29 38708/29", "discriminant": "5 841 -76444 -363984 3417200 1360000 -20000000", "aesz": "308", "n_sing_complex": "3", "inst_int": "", "c2h": "74", "hash": "94e96c5d238b2d22a633f4e05ec1ae9f", "dim_h": "11", "inst": " 248/29 2476/29 38708/29 940480/29 27926248/29 947385848/29 35235085432/29 1402989415192/29 58850157860196/29 2572297729204788/29", "cleanlist": "True", "n_sing_real": "2", "sol_explicit": "", "n_sing_rational": "2", "n_sing": "5", "laurent": null, "discriminant_tex": "-(2000z^3+1024z^2+84z-1)(-29+100z)^2", "discr_factors": "-20000000, (-29/100+z)^2, z^3+64/125*z^2+21/500*z-1/2000", "dm_basis": null, "q": "0 1 -20 -56 564 -52084 -1877024 -73710174 -3304023696 -153370033730", "yuk": "1 248/29 20056/29 1045364/29 60210776/29 3490781248/29 204636408340/29 12085634303424/29 718330640789080/29 42901765081128248/29", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/3000*(-3837466+471750*I*111^(1/2))^(1/3)-8509/750/(-3837466+471750*I*111^(1/2))^(1/3)-64/375+1/4*I*3^(1/2)*(1/750*(-3837466+471750*I*111^(1/2))^(1/3)-17018/375/(-3837466+471750*I*111^(1/2))^(1/3))","im":"0","approx_re":"-0.40534","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/3000*(-3837466+471750*I*111^(1/2))^(1/3)-8509/750/(-3837466+471750*I*111^(1/2))^(1/3)-64/375-1/4*I*3^(1/2)*(1/750*(-3837466+471750*I*111^(1/2))^(1/3)-17018/375/(-3837466+471750*I*111^(1/2))^(1/3))","im":"0","approx_re":"-0.117186","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":"1/1500*(-3837466+471750*I*111^(1/2))^(1/3)+8509/375/(-3837466+471750*I*111^(1/2))^(1/3)-64/375","im":"0","approx_re":"0.010526","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"29/100","im":"0","approx_re":"0.29","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": "[9*X^4, -498*X^4-960*X^3-813*X^2-333*X-54, 11155*X^4+42652*X^3+60463*X^2+36876*X+8172, -42345*X^4-210762*X^3-379953*X^2-280368*X-71388, 42168*X^4+196836*X^3+306972*X^2+197304*X+44928, -20*(5*X+3)*(5*X+4)*(5*X+6)*(5*X+7)]", "text": "This is operator \"5.94\" from ...", "degz": 5, "h3": null, "sol": "1 6 54 240 -9450 -415044 -10435824 -171870336 -635559210 82047837300", "n_discr_factors": "2", "c3": null, "operator": "4 5 0 0 0 0 9 -54 -333 -813 -960 -498 8172 36876 60463 42652 11155 -71388 -280368 -379953 -210762 -42345 44928 197304 306972 196836 42168 -10080 -45000 -72500 -50000 -12500", "new_number": "5.94", "id": 309, "operator_tex": "3^{2} \\theta^4-3 x\\left(166\\theta^4+320\\theta^3+271\\theta^2+111\\theta+18\\right)+x^{2}\\left(11155\\theta^4+42652\\theta^3+60463\\theta^2+36876\\theta+8172\\right)-3^{2} x^{3}\\left(4705\\theta^4+23418\\theta^3+42217\\theta^2+31152\\theta+7932\\right)+2^{2} 3 x^{4}\\left(3514\\theta^4+16403\\theta^3+25581\\theta^2+16442\\theta+3744\\right)-2^{2} 5 x^{5}(5\\theta+3)(5\\theta+4)(5\\theta+6)(5\\theta+7)", "superseek": "7/3 -4843/81", "discriminant": "5 9 -498 11155 -42345 42168 -12500", "aesz": "334", "n_sing_complex": "2", "inst_int": "", "c2h": null, "hash": "1ab1dce2847b14dd89a8f8f48ddc7214", "dim_h": null, "inst": " 7/3 -79/12 -4843/81 -1058/3 3620/3 15985411/324 1492751/3 -438602 -2468083204/27 -1326423285", "cleanlist": "True", "n_sing_real": "3", "sol_explicit": "", "n_sing_rational": "2", "n_sing": "5", "laurent": null, "discriminant_tex": "-(3125z^3-1167z^2+54z-1)(2z-3)^2", "discr_factors": "-12500, (z-3/2)^2, z^3-1167/3125*z^2+54/3125*z-1/3125", "dm_basis": null, "q": "0 1 -13 171 -1495 14538 -135333 925799 -9220405 91492092", "yuk": "1 7/3 -151/3 -1612 -22621 452507/3 10655276 170671200 -224586845 -66638248120", "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":"-1/12500*(247398452+9487500*69^(1/2))^(1/3)-95071/3125/(247398452+9487500*69^(1/2))^(1/3)+389/3125","im":"-1/2*3^(1/2)*(1/6250*(247398452+9487500*69^(1/2))^(1/3)-190142/3125/(247398452+9487500*69^(1/2))^(1/3))","approx_re":"0.025215","approx_im":"-0.018839","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/12500*(247398452+9487500*69^(1/2))^(1/3)-95071/3125/(247398452+9487500*69^(1/2))^(1/3)+389/3125","im":"1/2*3^(1/2)*(1/6250*(247398452+9487500*69^(1/2))^(1/3)-190142/3125/(247398452+9487500*69^(1/2))^(1/3))","approx_re":"0.025215","approx_im":"0.018839","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/6250*(247398452+9487500*69^(1/2))^(1/3)+190142/3125/(247398452+9487500*69^(1/2))^(1/3)+389/3125","im":"0","approx_re":"0.32301","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"3/2","im":"0","approx_re":"1.5","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":["3/5","4/5","6/5","7/5"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[169*X^4, -15418*X^4-22100*X^3-17810*X^2-6760*X-1014, 37908+209248*X+487096*X^2+580712*X^3+324908*X^4, -3180153*X^4-8754414*X^3-11733109*X^2-7260552*X-1687608, 18242234*X^4+77647504*X^3+123871092*X^2+83490832*X+20385528, -58945060*X^4-325439824*X^3-608035160*X^2-450086684*X-116707308, 43928784*X^4+439619832*X^3+1126215684*X^2+965430000*X+271755432, 162182412*X^4+532716840*X^3+227690748*X^2-179503416*X-105854472, -184700952*X^4-842442768*X^3-578731176*X^2+133833168*X+143181216, -109737072*X^4-172159776*X^3-152362512*X^2-88569504*X-23302080, 126241632*X^4+247008960*X^3+171442656*X^2+48109248*X+4333824, 418176*(4*X+3)*(X+1)^2*(4*X+5)]", "text": "This is operator \"11.13\" from ...", "degz": 11, "h3": null, "sol": "1 6 126 4092 160110 6981156 326953116 16106882616 823919474862 43390556965140", "n_discr_factors": "3", "c3": null, "operator": "4 11 0 0 0 0 169 -1014 -6760 -17810 -22100 -15418 37908 209248 487096 580712 324908 -1687608 -7260552 -11733109 -8754414 -3180153 20385528 83490832 123871092 77647504 18242234 -116707308 -450086684 -608035160 -325439824 -58945060 271755432 965430000 1126215684 439619832 43928784 -105854472 -179503416 227690748 532716840 162182412 143181216 133833168 -578731176 -842442768 -184700952 -23302080 -88569504 -152362512 -172159776 -109737072 4333824 48109248 171442656 247008960 126241632 6272640 25926912 39726720 26763264 6690816", "new_number": "11.13", "id": 329, "operator_tex": "13^{2} \\theta^4-2 13 x\\left(593\\theta^4+850\\theta^3+685\\theta^2+260\\theta+39\\right)+2^{2} x^{2}\\left(81227\\theta^4+145178\\theta^3+121774\\theta^2+52312\\theta+9477\\right)-x^{3}\\left(3180153\\theta^4+8754414\\theta^3+11733109\\theta^2+7260552\\theta+1687608\\right)+2 x^{4}\\left(9121117\\theta^4+38823752\\theta^3+61935546\\theta^2+41745416\\theta+10192764\\right)-2^{2} x^{5}\\left(14736265\\theta^4+81359956\\theta^3+152008790\\theta^2+112521671\\theta+29176827\\right)+2^{2} 3^{2} x^{6}\\left(1220244\\theta^4+12211662\\theta^3+31283769\\theta^2+26817500\\theta+7548762\\right)+2^{2} 3^{2} x^{7}\\left(4505067\\theta^4+14797690\\theta^3+6324743\\theta^2-4986206\\theta-2940402\\right)-2^{3} 3^{3} x^{8}\\left(855097\\theta^4+3900198\\theta^3+2679311\\theta^2-619598\\theta-662876\\right)-2^{4} 3^{3} x^{9}\\left(254021\\theta^4+398518\\theta^3+352691\\theta^2+205022\\theta+53940\\right)+2^{5} 3^{3} 11 x^{10}\\left(13283\\theta^4+25990\\theta^3+18039\\theta^2+5062\\theta+456\\right)+2^{7} 3^{3} 11^{2} x^{11}(4\\theta+3)(\\theta+1)^2(4\\theta+5)", "superseek": "70/13 15323/39", "discriminant": "11 169 -15418 324908 -3180153 18242234 -58945060 43928784 162182412 -184700952 -109737072 126241632 6690816", "aesz": null, "n_sing_complex": "5", "inst_int": "", "c2h": null, "hash": "89df09ff1ec0d5dfcae0791579c9095e", "dim_h": null, "inst": " 70/13 420/13 15323/39 78225/13 1564284/13 106611124/39 882780787/13 23479011382/13 1973556192430/39 19205237477692/13", "cleanlist": "True", "n_sing_real": "4", "sol_explicit": "", "n_sing_rational": "1", "n_sing": "9", "laurent": null, "discriminant_tex": "(192z^2-69z+1)(2z^3+39z^2-5z+1)(13-112z-18z^2+132z^3)^2", "discr_factors": "6690816, z^3+39/2*z^2-5/2*z+1/2, (13/132-28/33*z-3/22*z^2+z^3)^2, z^2-23/64*z+1/192", "dm_basis": null, "q": "0 1 -16 58 -792 -3613 -250588 -5973466 -182013880 -5605185911", "yuk": "1 70/13 3430/13 137977/13 5009830/13 195535570/13 7676142265/13 302793810011/13 12021258837414/13 479574154898467/13", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/6*(61128+177*177^(1/2))^(1/3)-517/2/(61128+177*177^(1/2))^(1/3)-13/2","im":"0","approx_re":"-19.628663","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/132*(-8586+55*I*607445^(1/2))^(1/3)-1241/132/(-8586+55*I*607445^(1/2))^(1/3)+1/22+1/2*I*3^(1/2)*(1/66*(-8586+55*I*607445^(1/2))^(1/3)-1241/66/(-8586+55*I*607445^(1/2))^(1/3))","im":"0","approx_re":"-0.912176","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":"23/128-11/384*33^(1/2)","im":"0","approx_re":"0.01513","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/12*(61128+177*177^(1/2))^(1/3)+517/4/(61128+177*177^(1/2))^(1/3)-13/2","im":"1/2*3^(1/2)*(-1/6*(61128+177*177^(1/2))^(1/3)+517/2/(61128+177*177^(1/2))^(1/3))","approx_re":"0.064331","approx_im":"-0.146063","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/12*(61128+177*177^(1/2))^(1/3)+517/4/(61128+177*177^(1/2))^(1/3)-13/2","im":"-1/2*3^(1/2)*(-1/6*(61128+177*177^(1/2))^(1/3)+517/2/(61128+177*177^(1/2))^(1/3))","approx_re":"0.064331","approx_im":"0.146063","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/132*(-8586+55*I*607445^(1/2))^(1/3)-1241/132/(-8586+55*I*607445^(1/2))^(1/3)+1/22-1/2*I*3^(1/2)*(1/66*(-8586+55*I*607445^(1/2))^(1/3)-1241/66/(-8586+55*I*607445^(1/2))^(1/3))","im":"0","approx_re":"0.115746","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"23/128+11/384*33^(1/2)","im":"0","approx_re":"0.344245","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/66*(-8586+55*I*607445^(1/2))^(1/3)+1241/66/(-8586+55*I*607445^(1/2))^(1/3)+1/22","im":"0","approx_re":"0.932793","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, -55*X^4-142*X^3-112*X^2-41*X-6, 456*X^4+4668*X^3+7455*X^2+3958*X+696, 35078*X^4+127188*X^3+175671*X^2+133507*X+41718, 82753*X^4+664768*X^3+2450839*X^2+2316756*X+736812, -2655315*X^4-4028814*X^3+2649993*X^2+8119728*X+4050684, -6219018*X^4-60015708*X^3-89450730*X^2-53365392*X-11353464, -175541148*X^2-256801536*X+49673412*X^4+29231928*X^3-103999248, 1325353104*X+906483312*X^3+407584224+1655573904*X^2+145904976*X^4, -132584688*X^4+131663232*X^3+1842270480*X^2+2895494688*X+1361857536, -23328*(X+1)*(20847*X^3+146325*X^2+303230*X+217616), 139968*(X+1)*(X+2)*(1791*X^2-1173*X-14800), 10077696*(X+3)*(X+2)*(X+1)*(52*X+257), -342641664*(X+1)*(X+2)*(X+3)*(X+4)]", "text": "This is operator \"13.8\" from ...", "degz": 13, "h3": null, "sol": "1 6 90 1044 -5670 -1072764 -51455844 -1769263560 -45316195686 -614757875220", "n_discr_factors": "6", "c3": null, "operator": "4 13 0 0 0 0 1 -6 -41 -112 -142 -55 696 3958 7455 4668 456 41718 133507 175671 127188 35078 736812 2316756 2450839 664768 82753 4050684 8119728 2649993 -4028814 -2655315 -11353464 -53365392 -89450730 -60015708 -6219018 -103999248 -256801536 -175541148 29231928 49673412 407584224 1325353104 1655573904 906483312 145904976 1361857536 2895494688 1842270480 131663232 -132584688 -5076546048 -12150295488 -10487219040 -3899788416 -486318816 -4143052800 -6542944128 -2062708416 587865600 250682688 15539807232 31633887744 21304249344 5734209024 524040192 -8223399936 -17132083200 -11992458240 -3426416640 -342641664", "new_number": "13.8", "id": 376, "operator_tex": "\\theta^4-x\\left(55\\theta^4+142\\theta^3+112\\theta^2+41\\theta+6\\right)+x^{2}\\left(456\\theta^4+4668\\theta^3+7455\\theta^2+3958\\theta+696\\right)+x^{3}\\left(35078\\theta^4+127188\\theta^3+175671\\theta^2+133507\\theta+41718\\right)+x^{4}\\left(82753\\theta^4+664768\\theta^3+2450839\\theta^2+2316756\\theta+736812\\right)-3 x^{5}\\left(885105\\theta^4+1342938\\theta^3-883331\\theta^2-2706576\\theta-1350228\\right)-2 3^{2} x^{6}\\left(345501\\theta^4+3334206\\theta^3+4969485\\theta^2+2964744\\theta+630748\\right)+2^{2} 3^{3} x^{7}\\left(459939\\theta^4+270666\\theta^3-1625381\\theta^2-2377792\\theta-962956\\right)+2^{4} 3^{4} x^{8}\\left(112581\\theta^4+699447\\theta^3+1277449\\theta^2+1022649\\theta+314494\\right)-2^{4} 3^{5} x^{9}\\left(34101\\theta^4-33864\\theta^3-473835\\theta^2-744726\\theta-350272\\right)-2^{5} 3^{6} x^{10}(\\theta+1)(20847\\theta^3+146325\\theta^2+303230\\theta+217616)+2^{6} 3^{7} x^{11}(\\theta+1)(\\theta+2)(1791\\theta^2-1173\\theta-14800)+2^{9} 3^{9} x^{12}(\\theta+3)(\\theta+2)(\\theta+1)(52\\theta+257)-2^{10} 3^{9} 17 x^{13}(\\theta+1)(\\theta+2)(\\theta+3)(\\theta+4)", "superseek": "8 -830/9", "discriminant": "13 1 -55 456 35078 82753 -2655315 -6219018 49673412 145904976 -132584688 -486318816 250682688 524040192 -342641664", "aesz": null, "n_sing_complex": "2", "inst_int": "", "c2h": null, "hash": "bcea3fff557004b4da26e9aa34caac6c", "dim_h": null, "inst": " 8 -45/2 -830/9 -5301/2 2790 787217/6 7180248 115903851/2 -289645460/3 -32500367598", "cleanlist": "True", "n_sing_real": "7", "sol_explicit": "", "n_sing_rational": "6", "n_sing": "9", "laurent": null, "discriminant_tex": "-(2z+1)(3672z^3+1728z^2-72z+1)(6z-1)^2(12z+1)^2(3z+1)^2(z-1)^3", "discr_factors": "-342641664, (z-1/6)^2, (z-1)^3, z^3+8/17*z^2-1/51*z+1/3672, (z+1/12)^2, (z+1/3)^2, z+1/2", "dm_basis": null, "q": "0 1 -17 243 -1855 16442 -120123 -129899 -24681317 160305642", "yuk": "1 8 -172 -2482 -169804 348758 28337150 2462825072 29671216052 -70383849262", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-3/34*3^(2/3)-2/17*3^(1/3)-8/51","im":"0","approx_re":"-0.510076","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":"-1/3","im":"0","approx_re":"-0.333333333333","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/12","im":"0","approx_re":"-0.0833333333333","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":"3/68*3^(2/3)+1/17*3^(1/3)-8/51","im":"1/12*3^(1/2)*(-9/17*3^(2/3)+12/17*3^(1/3))","approx_re":"0.019744","approx_im":"-0.012003","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"3/68*3^(2/3)+1/17*3^(1/3)-8/51","im":"-1/12*3^(1/2)*(-9/17*3^(2/3)+12/17*3^(1/3))","approx_re":"0.019744","approx_im":"0.012003","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/6","im":"0","approx_re":"0.166666666667","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"1","im":"0","approx_re":"1.0","approx_im":"0.0","exponents":["0","1/2","3/2","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, -76*X^4-80*X^3-73*X^2-33*X-6, 2209*X^4+4228*X^3+4745*X^2+2726*X+648, -31230*X^4-83628*X^3-109782*X^2-73296*X-20232, 225180*X^4+797904*X^3+1263060*X^2+987120*X+307152, -216*(X+1)*(3707*X^3+14055*X^2+20242*X+10704), 15552*(X+1)*(X+2)*(86*X^2+285*X+262), -839808*(X+1)*(X+2)^2*(X+3)]", "text": "This is operator \"7.10\" from ...", "degz": 7, "h3": null, "sol": "1 6 60 816 13104 232416 4408296 87822720 1816916256 38731107264", "n_discr_factors": "5", "c3": null, "operator": "4 7 0 0 0 0 1 -6 -33 -73 -80 -76 648 2726 4745 4228 2209 -20232 -73296 -109782 -83628 -31230 307152 987120 1263060 797904 225180 -2312064 -6684336 -7408152 -3836592 -800712 8149248 21088512 20046528 8444736 1337472 -10077696 -23514624 -19315584 -6718464 -839808", "new_number": "7.10", "id": 432, "operator_tex": "\\theta^4-x\\left(76\\theta^4+80\\theta^3+73\\theta^2+33\\theta+6\\right)+x^{2}\\left(2209\\theta^4+4228\\theta^3+4745\\theta^2+2726\\theta+648\\right)-2 3^{2} x^{3}\\left(1735\\theta^4+4646\\theta^3+6099\\theta^2+4072\\theta+1124\\right)+2^{2} 3^{3} x^{4}\\left(2085\\theta^4+7388\\theta^3+11695\\theta^2+9140\\theta+2844\\right)-2^{3} 3^{3} x^{5}(\\theta+1)(3707\\theta^3+14055\\theta^2+20242\\theta+10704)+2^{6} 3^{5} x^{6}(\\theta+1)(\\theta+2)(86\\theta^2+285\\theta+262)-2^{7} 3^{8} x^{7}(\\theta+1)(\\theta+2)^2(\\theta+3)", "superseek": "1 11", "discriminant": "7 1 -76 2209 -31230 225180 -800712 1337472 -839808", "aesz": null, "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "b1c277f62ba740f9f7e0371ba53e4194", "dim_h": null, "inst": " 1 13/4 11 50 1674/5 11339/4 25332 231810 2188747 214734129/10", "cleanlist": "True", "n_sing_real": "6", "sol_explicit": "", "n_sing_rational": "6", "n_sing": "6", "laurent": null, "discriminant_tex": "-(3z-1)(18z-1)(27z-1)(12z-1)^2(-1+2z)^2", "discr_factors": "-839808, z-1/18, z-1/27, (-1/2+z)^2, (z-1/12)^2, z-1/3", "dm_basis": null, "q": "0 1 -9 44 -207 949 -5616 15965 -166089 -97109", "yuk": "1 1 27 298 3227 41851 612630 8688877 118689947 1595596861", "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":"1/27","im":"0","approx_re":"0.037037037037","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/18","im":"0","approx_re":"0.0555555555556","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","3","4"],"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","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1","2","2","3"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[9*X^4, -528*X^4-660*X^3-618*X^2-288*X-54, 11692*X^4+26440*X^3+32164*X^2+19632*X+4824, -123365*X^4-374814*X^3-519741*X^2-346176*X-89676, 619314*X^4+2205876*X^3+3182314*X^2+2065840*X+499480, -88*(X+1)*(12897*X^3+35469*X^2+31181*X+8042), -968*(X+1)*(X+2)*(355*X^2+1047*X+806), -21296*(X+1)*(X+2)^2*(X+3)]", "text": "This is operator \"7.7\" from ...", "degz": 7, "h3": null, "sol": "1 6 56 636 8196 115896 1760276 28269576 474290356 8236197816", "n_discr_factors": "4", "c3": null, "operator": "4 7 0 0 0 0 9 -54 -288 -618 -660 -528 4824 19632 32164 26440 11692 -89676 -346176 -519741 -374814 -123365 499480 2065840 3182314 2205876 619314 -707696 -3451624 -5865200 -4256208 -1134936 -1560416 -4367616 -4507976 -2044416 -343640 -255552 -596288 -489808 -170368 -21296", "new_number": "7.7", "id": 450, "operator_tex": "3^{2} \\theta^4-2 3 x\\left(88\\theta^4+110\\theta^3+103\\theta^2+48\\theta+9\\right)+2^{2} x^{2}\\left(2923\\theta^4+6610\\theta^3+8041\\theta^2+4908\\theta+1206\\right)-x^{3}\\left(123365\\theta^4+374814\\theta^3+519741\\theta^2+346176\\theta+89676\\right)+2 x^{4}\\left(309657\\theta^4+1102938\\theta^3+1591157\\theta^2+1032920\\theta+249740\\right)-2^{3} 11 x^{5}(\\theta+1)(12897\\theta^3+35469\\theta^2+31181\\theta+8042)-2^{3} 11^{2} x^{6}(\\theta+1)(\\theta+2)(355\\theta^2+1047\\theta+806)-2^{4} 11^{3} x^{7}(\\theta+1)(\\theta+2)^2(\\theta+3)", "superseek": "2/3 13/3", "discriminant": "7 9 -528 11692 -123365 619314 -1134936 -343640 -21296", "aesz": null, "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "c7abb9c42d46f14955f0f23351082bef", "dim_h": null, "inst": " 2/3 5/3 13/3 59/3 119 2168/3 14128/3 100529/3 756002/3 5897236/3", "cleanlist": "True", "n_sing_real": "7", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "7", "laurent": null, "discriminant_tex": "-(11z-1)(4z^2+22z-1)(z^2+11z-1)(-3+22z)^2", "discr_factors": "-21296, (-3/22+z)^2, z^2+11*z-1, z^2+11/2*z-1/4, z-1/11", "dm_basis": null, "q": "0 1 -8 39 -152 361 -836 -1083 -7528 -101565", "yuk": "1 2/3 14 353/3 3818/3 44627/3 156227 1615302 17158222 551125811/3", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-11/2-5/2*5^(1/2)","im":"0","approx_re":"-11.09017","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-11/4-5/4*5^(1/2)","im":"0","approx_re":"-5.545085","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"-11/4+5/4*5^(1/2)","im":"0","approx_re":"0.045085","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-11/2+5/2*5^(1/2)","im":"0","approx_re":"0.09017","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/11","im":"0","approx_re":"0.0909090909091","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"3/22","im":"0","approx_re":"0.136363636364","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","2","3"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -(7*X^2+7*X+2)*(11*X^2+11*X+3), -1049*X^4-4100*X^3-5689*X^2-3178*X-640, 616*X^4-3696*X^3-11360*X^2-8424*X-2016, 16656*X^4+33312*X^3-22496*X^2-39152*X-11936, 4928*X^4+49280*X^3+27392*X^2-5952*X-5120, -67136*X^4-6144*X^3+20288*X^2-6144*X-6400, -512*(7*X^2+7*X+2)*(11*X^2+11*X+3), 4096*(X+1)^4]", "text": "Hadamard product $a \\ast b$. The operator has a second MUM-point at infinity with the same instanton numbers. In fact, there is a symmetry in the operator. It can be reduced to an operator with a single MUM point of degree 4, defined over $Q(\\sqrt{2})$.", "degz": 8, "h3": "240", "sol": "1 6 190 8232 432846 25341756 1593697456 105412062720 7239272059342 511821344117796", "n_discr_factors": "3", "c3": "-720", "operator": "4 8 0 0 0 0 1 -6 -43 -120 -154 -77 -640 -3178 -5689 -4100 -1049 -2016 -8424 -11360 -3696 616 -11936 -39152 -22496 33312 16656 -5120 -5952 27392 49280 4928 -6400 -6144 20288 -6144 -67136 -3072 -22016 -61440 -78848 -39424 4096 16384 24576 16384 4096", "new_number": "8.1", "id": 463, "operator_tex": "\\theta^4-x(7\\theta^2+7\\theta+2)(11\\theta^2+11\\theta+3)-x^{2}\\left(1049\\theta^4+4100\\theta^3+5689\\theta^2+3178\\theta+640\\right)+2^{3} x^{3}\\left(77\\theta^4-462\\theta^3-1420\\theta^2-1053\\theta-252\\right)+2^{4} x^{4}\\left(1041\\theta^4+2082\\theta^3-1406\\theta^2-2447\\theta-746\\right)+2^{6} x^{5}\\left(77\\theta^4+770\\theta^3+428\\theta^2-93\\theta-80\\right)-2^{6} x^{6}\\left(1049\\theta^4+96\\theta^3-317\\theta^2+96\\theta+100\\right)-2^{9} x^{7}(7\\theta^2+7\\theta+2)(11\\theta^2+11\\theta+3)+2^{12} x^{8}\\left((\\theta+1)^4\\right)", "superseek": "8 1053", "discriminant": "8 1 -77 -1049 616 16656 4928 -67136 -39424 4096", "aesz": "102", "n_sing_complex": "0", "inst_int": "", "c2h": "-96", "hash": "e928905653beb9d844e6a942f50d94ac", "dim_h": "32", "inst": " 8 153/2 1053 49101/2 670214 21215430 732865525 54287309225/2 1058581265221 86051614150163/2", "cleanlist": "True", "n_sing_real": "7", "sol_explicit": "", "n_sing_rational": "1", "n_sing": "7", "laurent": null, "discriminant_tex": "(64z^2+88z-1)(z^2-11z-1)(-1+8z^2)^2", "discr_factors": "4096, z^2-11*z-1, (-1/8+z^2)^2, z^2+11/8*z-1/64", "dm_basis": null, "q": "0 1 -19 -33 415 -44038 -1204843 -47847225 -1972984423 -85146953458", "yuk": "1 8 620 28439 1571852 83776758 4582561931 251372875083 13897552733452 771705742374548", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-11/16-5/16*5^(1/2)","im":"0","approx_re":"-1.386271","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/4*2^(1/2)","im":"0","approx_re":"-0.353553","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"11/2-5/2*5^(1/2)","im":"0","approx_re":"-0.09017","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"-11/16+5/16*5^(1/2)","im":"0","approx_re":"0.011271","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/4*2^(1/2)","im":"0","approx_re":"0.353553","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"11/2+5/2*5^(1/2)","im":"0","approx_re":"11.09017","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1","1","1","1"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[289*X^4, -1734-12138*X-33218*X^2-42160*X^3-21998*X^4, -81600-368492*X-590936*X^2-359008*X^3-57748*X^4, -209304-673812*X-503748*X^2+308160*X^3+258456*X^4, -634896-1736136*X-665192*X^2+1331072*X^3+415360*X^4, 167808+1054320*X+2103024*X^2+1285632*X^3-449280*X^4, 42048+516960*X+1011360*X^2+9216*X^3-975360*X^4, -338688-1476864*X-2492928*X^2-1990656*X^3-663552*X^4, -18432*(4*X+3)*(X+1)^2*(4*X+5)]", "text": "", "degz": 8, "h3": "34", "sol": "1 6 162 6252 290610 15057756 837966276 49048143192 2980860478002 186501421576140", "n_discr_factors": "3", "c3": "-90", "operator": "4 8 0 0 0 0 289 -1734 -12138 -33218 -42160 -21998 -81600 -368492 -590936 -359008 -57748 -209304 -673812 -503748 308160 258456 -634896 -1736136 -665192 1331072 415360 167808 1054320 2103024 1285632 -449280 42048 516960 1011360 9216 -975360 -338688 -1476864 -2492928 -1990656 -663552 -276480 -1142784 -1751040 -1179648 -294912", "new_number": "8.20", "id": 464, "operator_tex": "17^{2} \\theta^4-2 17 x\\left(647\\theta^4+1240\\theta^3+977\\theta^2+357\\theta+51\\right)-2^{2} x^{2}\\left(14437\\theta^4+89752\\theta^3+147734\\theta^2+92123\\theta+20400\\right)+2^{2} 3 x^{3}\\left(21538\\theta^4+25680\\theta^3-41979\\theta^2-56151\\theta-17442\\right)+2^{3} x^{4}\\left(51920\\theta^4+166384\\theta^3-83149\\theta^2-217017\\theta-79362\\right)-2^{4} 3 x^{5}\\left(9360\\theta^4-26784\\theta^3-43813\\theta^2-21965\\theta-3496\\right)-2^{5} 3 x^{6}\\left(10160\\theta^4-96\\theta^3-10535\\theta^2-5385\\theta-438\\right)-2^{8} 3^{2} x^{7}\\left(288\\theta^4+864\\theta^3+1082\\theta^2+641\\theta+147\\right)-2^{11} 3^{2} x^{8}(4\\theta+3)(\\theta+1)^2(4\\theta+5)", "superseek": "118/17 672", "discriminant": "8 289 -21998 -57748 258456 415360 -449280 -975360 -663552 -294912", "aesz": "213", "n_sing_complex": "2", "inst_int": "", "c2h": "76", "hash": "d430b37f4ca641af0b82cbef83547c51", "dim_h": "12", "inst": " 118/17 873/17 672 447987/34 5358846/17 146392320/17 4385052354/17 140593718677/17 4748423946666/17 167107094317077/17", "cleanlist": "True", "n_sing_real": "5", "sol_explicit": "", "n_sing_rational": "2", "n_sing": "7", "laurent": null, "discriminant_tex": "-(4z+1)(32z^3+40z^2+78z-1)(-17+18z+48z^2)^2", "discr_factors": "-294912, (-17/48+3/8*z+z^2)^2, z+1/4, z^3+5/4*z^2+39/16*z-1/32", "dm_basis": null, "q": "0 1 -18 25 -216 -21452 -562194 -19145004 -687292104 -25629759794", "yuk": "1 118/17 7102/17 308566/17 14342686/17 669855868/17 31621056670/17 1504072957540/17 71983998305310/17 3461601057428080/17", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-3/16-1/48*897^(1/2)","im":"0","approx_re":"-0.811457","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/48*(6236+708*177^(1/2))^(1/3)+23/3/(6236+708*177^(1/2))^(1/3)-5/12","im":"-1/4*3^(1/2)*(1/12*(6236+708*177^(1/2))^(1/3)+92/3/(6236+708*177^(1/2))^(1/3))","approx_re":"-0.631368","approx_im":"-1.433512","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/48*(6236+708*177^(1/2))^(1/3)+23/3/(6236+708*177^(1/2))^(1/3)-5/12","im":"1/4*3^(1/2)*(1/12*(6236+708*177^(1/2))^(1/3)+92/3/(6236+708*177^(1/2))^(1/3))","approx_re":"-0.631368","approx_im":"1.433512","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/4","im":"0","approx_re":"-0.25","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"1/24*(6236+708*177^(1/2))^(1/3)-46/3/(6236+708*177^(1/2))^(1/3)-5/12","im":"0","approx_re":"0.012736","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-3/16+1/48*897^(1/2)","im":"0","approx_re":"0.436457","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, -(10*X^2+10*X+3)*(7*X^2+7*X+2), -71*X^4-1148*X^3-1591*X^2-886*X-192, -5040*X^4+30240*X^3+92808*X^2+69336*X+17280, -20592*X^4-41184*X^3+163872*X^2+184464*X+59616, 362880*X^4+3628800*X^3+2026944*X^2-388800*X-393984, -368064*X^4+4478976*X^3+7397568*X^2+4478976*X+933120, 373248*(10*X^2+10*X+3)*(7*X^2+7*X+2), 26873856*(X+1)^4]", "text": "Hadamard product $a \\ast c$. This operator has a second MUM-point at infinity with the same instanton point. \nIt is reducible to an operator of degree 4 with a single MUM-point defined over $Q(\\sqrt{-2})$", "degz": 8, "h3": "36", "sol": "1 6 150 5208 221094 10478556 534006096 28636761600 1594933457958 91464881448084", "n_discr_factors": "5", "c3": "-60", "operator": "4 8 0 0 0 0 1 -6 -41 -111 -140 -70 -192 -886 -1591 -1148 -71 17280 69336 92808 30240 -5040 59616 184464 163872 -41184 -20592 -393984 -388800 2026944 3628800 362880 933120 4478976 7397568 4478976 -368064 2239488 15303168 41430528 52254720 26127360 26873856 107495424 161243136 107495424 26873856", "new_number": "8.2", "id": 474, "operator_tex": "\\theta^4-x(10\\theta^2+10\\theta+3)(7\\theta^2+7\\theta+2)-x^{2}\\left(71\\theta^4+1148\\theta^3+1591\\theta^2+886\\theta+192\\right)-2^{3} 3^{2} x^{3}\\left(70\\theta^4-420\\theta^3-1289\\theta^2-963\\theta-240\\right)-2^{4} 3^{2} x^{4}\\left(143\\theta^4+286\\theta^3-1138\\theta^2-1281\\theta-414\\right)+2^{6} 3^{4} x^{5}\\left(70\\theta^4+700\\theta^3+391\\theta^2-75\\theta-76\\right)-2^{6} 3^{4} x^{6}\\left(71\\theta^4-864\\theta^3-1427\\theta^2-864\\theta-180\\right)+2^{9} 3^{6} x^{7}(10\\theta^2+10\\theta+3)(7\\theta^2+7\\theta+2)+2^{12} 3^{8} x^{8}\\left((\\theta+1)^4\\right)", "superseek": "7 1271/3", "discriminant": "8 1 -70 -71 -5040 -20592 362880 -368064 26127360 26873856", "aesz": "104", "n_sing_complex": "2", "inst_int": "", "c2h": "72", "hash": "d6bd0d1524954c8ce0a6421d295e9795", "dim_h": "12", "inst": " 7 93/2 1271/3 18507/2 190710 9428013/2 128027760 7423428159/2 339968018663/3 3607055297185", "cleanlist": "True", "n_sing_real": "5", "sol_explicit": "", "n_sing_rational": "5", "n_sing": "7", "laurent": null, "discriminant_tex": "(9z+1)(8z-1)(72z-1)(z+1)(1+72z^2)^2", "discr_factors": "26873856, z+1/9, z-1/8, z-1/72, z+1, (1/72+z^2)^2", "dm_basis": null, "q": "0 1 -17 28 337 -25739 -225296 -10088399 -338161817 -10983844277", "yuk": "1 7 379 11446 592603 23838757 1018237222 43913521687 1900398201307 82612228546555", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1","im":"0","approx_re":"-1.0","approx_im":"0.0","exponents":["0","1","1","2"],"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":"0","im":"-1/12*2^(1/2)","approx_re":"0.0","approx_im":"-0.117851","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":"0","im":"1/12*2^(1/2)","approx_re":"0.0","approx_im":"0.117851","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"1/72","im":"0","approx_re":"0.0138888888889","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","1","1","1"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -3*(3*X^2+3*X+1)*(7*X^2+7*X+2), 1539*X^4+3564*X^3+4995*X^2+2862*X+576, -13608*X^4+81648*X^3+250128*X^2+188568*X+49248, 571536*X^4+1143072*X^3+396576*X^2-174960*X-54432, 2939328*X^4+29393280*X^3+16516224*X^2-2659392*X-3359232, 71803584*X^4+120932352*X^3+165022272*X^2+120932352*X+31912704, 30233088*(3*X^2+3*X+1)*(7*X^2+7*X+2), 2176782336*(X+1)^4]", "text": "Hadamard product $a \\ast f$. This operator has a second MUM-point at infinity with the same instanton numbers.\nIt can be reduced to an operator of degree 4 with a single MUM-point defined over$Q(\\sqrt{6})$.", "degz": 8, "h3": null, "sol": "1 6 90 1176 3114 -668844 -36760464 -1357447680 -38737262934 -767282453076", "n_discr_factors": "3", "c3": null, "operator": "4 8 0 0 0 0 1 -6 -39 -102 -126 -63 576 2862 4995 3564 1539 49248 188568 250128 81648 -13608 -54432 -174960 396576 1143072 571536 -3359232 -2659392 16516224 29393280 2939328 31912704 120932352 165022272 120932352 71803584 60466176 393030144 1027924992 1269789696 634894848 2176782336 8707129344 13060694016 8707129344 2176782336", "new_number": "8.4", "id": 496, "operator_tex": "\\theta^4-3 x(3\\theta^2+3\\theta+1)(7\\theta^2+7\\theta+2)+3^{2} x^{2}\\left(171\\theta^4+396\\theta^3+555\\theta^2+318\\theta+64\\right)-2^{3} 3^{4} x^{3}\\left(21\\theta^4-126\\theta^3-386\\theta^2-291\\theta-76\\right)+2^{4} 3^{5} x^{4}\\left(147\\theta^4+294\\theta^3+102\\theta^2-45\\theta-14\\right)+2^{6} 3^{7} x^{5}\\left(21\\theta^4+210\\theta^3+118\\theta^2-19\\theta-24\\right)+2^{6} 3^{8} x^{6}\\left(171\\theta^4+288\\theta^3+393\\theta^2+288\\theta+76\\right)+2^{9} 3^{10} x^{7}(3\\theta^2+3\\theta+1)(7\\theta^2+7\\theta+2)+2^{12} 3^{12} x^{8}\\left((\\theta+1)^4\\right)", "superseek": "6 -325", "discriminant": "8 1 -63 1539 -13608 571536 2939328 71803584 634894848 2176782336", "aesz": "160", "n_sing_complex": "6", "inst_int": "", "c2h": null, "hash": "8ce8667fe6e49ce6625fafe044b1641b", "dim_h": null, "inst": " 6 6 -325 -1977/2 -5421 234971/4 6144684 150590955/2 175485337/3 -76710752151/4", "cleanlist": "True", "n_sing_real": "1", "sol_explicit": "", "n_sing_rational": "1", "n_sing": "7", "laurent": null, "discriminant_tex": "(27z^2+9z+1)(1728z^2-72z+1)(1+216z^2)^2", "discr_factors": "2176782336, z^2+1/3*z+1/27, z^2-1/24*z+1/1728, (1/216+z^2)^2", "dm_basis": null, "q": "0 1 -15 144 529 -20487 229986 -760582 -56200827 533023983", "yuk": "1 6 54 -8769 -63210 -677619 12679713 2107626618 38551221270 42642928122", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/6","im":"-1/18*3^(1/2)","approx_re":"-0.166666666667","approx_im":"-0.096225","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/6","im":"1/18*3^(1/2)","approx_re":"-0.166666666667","approx_im":"0.096225","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"-1/36*6^(1/2)","approx_re":"0.0","approx_im":"-0.068041","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":"0","im":"1/36*6^(1/2)","approx_re":"0.0","approx_im":"0.068041","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"1/48","im":"-1/144*3^(1/2)","approx_re":"0.0208333333333","approx_im":"-0.012028","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/48","im":"1/144*3^(1/2)","approx_re":"0.0208333333333","approx_im":"0.012028","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, 578*X^4-572*X^3-359*X^2-73*X-6, 42057*X^4+17028*X^3+284409*X^2+103626*X+15552, -5951880*X^4+87025104*X^3+22952160*X^2+14469192*X+3592512, 1999897776*X^4+1243545696*X^3+12038437728*X^2+6922012464*X+1500107040, -256452168960*X^4-274410623232*X^3+219684954816*X^2+268934655168*X+78228115200, -10796806374336*X^4-76434446555136*X^3-82531239743808*X^2-39142899965952*X-7041754808064, 1776307445245440*X^4+5266439159270400*X^3+6641069041520640*X^2+4007849461885440*X+946173815055360, -28920784535654400*(X+1)^4]", "text": "This is operator \"8.62\" from ...", "degz": 8, "h3": null, "sol": "1 6 -810 -47784 3354534 538267356 -10663408944 -6600029299200 -174404179684314 79255303462908564", "n_discr_factors": "3", "c3": null, "operator": "4 8 0 0 0 0 1 -6 -73 -359 -572 578 15552 103626 284409 17028 42057 3592512 14469192 22952160 87025104 -5951880 1500107040 6922012464 12038437728 1243545696 1999897776 78228115200 268934655168 219684954816 -274410623232 -256452168960 -7041754808064 -39142899965952 -82531239743808 -76434446555136 -10796806374336 946173815055360 4007849461885440 6641069041520640 5266439159270400 1776307445245440 -28920784535654400 -115683138142617600 -173524707213926400 -115683138142617600 -28920784535654400", "new_number": "8.62", "id": 510, "operator_tex": "\\theta^4+x\\left(578\\theta^4-572\\theta^3-359\\theta^2-73\\theta-6\\right)+3^{2} x^{2}\\left(4673\\theta^4+1892\\theta^3+31601\\theta^2+11514\\theta+1728\\right)-2^{3} 3^{4} x^{3}\\left(9185\\theta^4-134298\\theta^3-35420\\theta^2-22329\\theta-5544\\right)+2^{4} 3^{8} x^{4}\\left(19051\\theta^4+11846\\theta^3+114678\\theta^2+65939\\theta+14290\\right)-2^{6} 3^{12} x^{5}\\left(7540\\theta^4+8068\\theta^3-6459\\theta^2-7907\\theta-2300\\right)-2^{6} 3^{16} x^{6}\\left(3919\\theta^4+27744\\theta^3+29957\\theta^2+14208\\theta+2556\\right)+2^{9} 3^{20} 5 x^{7}\\left(199\\theta^4+590\\theta^3+744\\theta^2+449\\theta+106\\right)-2^{12} 3^{24} 5^{2} x^{8}\\left((\\theta+1)^4\\right)", "superseek": "127 1566863/3", "discriminant": "8 1 578 42057 -5951880 1999897776 -256452168960 -10796806374336 1776307445245440 -28920784535654400", "aesz": null, "n_sing_complex": "2", "inst_int": "", "c2h": null, "hash": "4165325308c2b65daacebc1d19717e13", "dim_h": null, "inst": " 127 -14353/2 1566863/3 -106847355/2 6507370854 -1747126569829/2 124896327270384 -37542752696166551/2 8802495080253830111/3 -472867804119236671997", "cleanlist": "True", "n_sing_real": "5", "sol_explicit": "", "n_sing_rational": "2", "n_sing": "7", "laurent": null, "discriminant_tex": "-(81z+1)(419904z^3-22680z^2+79z-1)(-1-288z+29160z^2)^2", "discr_factors": "-28920784535654400, z^3-35/648*z^2+79/419904*z-1/419904, (-1/29160-4/405*z+z^2)^2, z+1/81", "dm_basis": null, "q": "0 1 -49 7356 -883951 126439797 -19431562416 3153811031025 -529587874041177 91384585610935851", "yuk": "1 127 -57285 14101894 -3419172645 813421356877 -188689655497050 42839440253741839 -9610944693637809701 2139006304501694818867", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/81","im":"0","approx_re":"-0.0123456790123","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"2/405-1/1620*154^(1/2)","im":"0","approx_re":"-0.002722","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":"-1/7776*(313444+36*28181793^(1/2))^(1/3)-247/486/(313444+36*28181793^(1/2))^(1/3)+35/1944","im":"-1/2*3^(1/2)*(1/3888*(313444+36*28181793^(1/2))^(1/3)-247/243/(313444+36*28181793^(1/2))^(1/3))","approx_re":"0.001382","approx_im":"-0.006675","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/7776*(313444+36*28181793^(1/2))^(1/3)-247/486/(313444+36*28181793^(1/2))^(1/3)+35/1944","im":"1/2*3^(1/2)*(1/3888*(313444+36*28181793^(1/2))^(1/3)-247/243/(313444+36*28181793^(1/2))^(1/3))","approx_re":"0.001382","approx_im":"0.006675","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"2/405+1/1620*154^(1/2)","im":"0","approx_re":"0.012599","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"1/3888*(313444+36*28181793^(1/2))^(1/3)+247/243/(313444+36*28181793^(1/2))^(1/3)+35/1944","im":"0","approx_re":"0.051248","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": "[1225*X^4, -7350-50225*X-135310*X^2-170170*X^3-112805*X^4, -6440+193270*X+1217171*X^2+2477628*X^3+1818051*X^4, -1075200-5053440*X-11478624*X^2-16097136*X^3-11951280*X^4, 11346176+45483520*X+75485376*X^2+70855552*X^3+39597248*X^4, -55123968-207126528*X-299452416*X^2-213430272*X^3-79276032*X^4, 128319488+476774400*X+659849216*X^2+411893760*X^3+108888064*X^4, -1048576*(X+1)*(99+295*X+286*X^2+88*X^3), 33554432*(X+1)^4]", "text": "This is operator \"8.86\" from ...", "degz": 8, "h3": null, "sol": "1 6 146 5280 229986 11172756 583080896 32009360256 1824641280610 107082373667676", "n_discr_factors": "3", "c3": null, "operator": "4 8 0 0 0 0 1225 -7350 -50225 -135310 -170170 -112805 -6440 193270 1217171 2477628 1818051 -1075200 -5053440 -11478624 -16097136 -11951280 11346176 45483520 75485376 70855552 39597248 -55123968 -207126528 -299452416 -213430272 -79276032 128319488 476774400 659849216 411893760 108888064 -103809024 -413138944 -609222656 -392167424 -92274688 33554432 134217728 201326592 134217728 33554432", "new_number": "8.86", "id": 536, "operator_tex": "5^{2} 7^{2} \\theta^4-5 7 x\\left(3223\\theta^4+4862\\theta^3+3866\\theta^2+1435\\theta+210\\right)-x^{2}\\left(6440-193270\\theta-1217171\\theta^2-2477628\\theta^3-1818051\\theta^4\\right)-2^{4} 3 x^{3}\\left(248985\\theta^4+335357\\theta^3+239138\\theta^2+105280\\theta+22400\\right)+2^{6} x^{4}\\left(618707\\theta^4+1107118\\theta^3+1179459\\theta^2+710680\\theta+177284\\right)-2^{11} 3 x^{5}\\left(12903\\theta^4+34738\\theta^3+48739\\theta^2+33712\\theta+8972\\right)+2^{15} x^{6}\\left(3323\\theta^4+12570\\theta^3+20137\\theta^2+14550\\theta+3916\\right)-2^{20} x^{7}(\\theta+1)(99+295\\theta+286\\theta^2+88\\theta^3)+2^{25} x^{8}\\left((\\theta+1)^4\\right)", "superseek": "226/35 3959/7", "discriminant": "8 1225 -112805 1818051 -11951280 39597248 -79276032 108888064 -92274688 33554432", "aesz": null, "n_sing_complex": "2", "inst_int": "", "c2h": null, "hash": "815127e123ce989d9ab793a009bb2e6a", "dim_h": null, "inst": " 226/35 1599/35 3959/7 51101/5 8052703/35 206397733/35 5799307242/35 34883328863/7 5526085914583/35 182437558747622/35", "cleanlist": "True", "n_sing_real": "5", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "7", "laurent": null, "discriminant_tex": "(1-77z+251z^2-352z^3+512z^4)(32z-5)^2(8z-7)^2", "discr_factors": "33554432, 1/512-77/512*z+251/512*z^2-11/16*z^3+z^4, (z-5/32)^2, (z-7/8)^2", "dm_basis": null, "q": "0 1 -17 32 -441 -14093 -420462 -13144910 -441450597 -15446509960", "yuk": "1 226/35 13018/35 534691/35 22906266/35 1006588101/35 44582457811/35 1989162384232/35 89301344795546/35 4028516632265698/35", "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":"5/32","im":"0","approx_re":"0.15625","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"7/8","im":"0","approx_re":"0.875","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"#ND","im":"#ND","approx_re":"#ND","approx_im":"#ND","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1","1","1","1"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[961*X^4, -115568*X^2-5766-41323*X-87916*X^4-148490*X^3, -1539241*X^2-1291677*X-342550+558095*X^4-131134*X^3, 6495560*X^2+387046*X^4+6264048*X^3+558+2100591*X, 3388169*X-7521396*X^3-5037573*X^4+2030450-2351908*X^2, -15364512-4029792*X^4-46016116*X-49387934*X^2-22094682*X^3, 37321692*X+8697364+6817193*X^4+33832842*X^3+56561513*X^2, 137367032*X+53251748*X^3+132675510*X^2+7727038*X^4+50067160, 484*(3667*X^2+17036*X+18316)*(X+1)^2, 117128*(X+1)^2*(X+2)^2]", "text": "This is operator \"9.9\" from ...", "degz": 9, "h3": null, "sol": "1 6 178 7404 370674 20685156 1239772156 78155796648 5115756781234 344734928494044", "n_discr_factors": "4", "c3": null, "operator": "4 9 0 0 0 0 961 -5766 -41323 -115568 -148490 -87916 -342550 -1291677 -1539241 -131134 558095 558 2100591 6495560 6264048 387046 2030450 3388169 -2351908 -7521396 -5037573 -15364512 -46016116 -49387934 -22094682 -4029792 8697364 37321692 56561513 33832842 6817193 50067160 137367032 132675510 53251748 7727038 8864944 25975312 27130620 11795080 1774828 468512 1405536 1522664 702768 117128", "new_number": "9.9", "id": 548, "operator_tex": "31^{2} \\theta^4-31 x\\left(2836\\theta^4+4790\\theta^3+3728\\theta^2+1333\\theta+186\\right)-x^{2}\\left(1539241\\theta^2+1291677\\theta+342550-558095\\theta^4+131134\\theta^3\\right)+x^{3}\\left(6495560\\theta^2+387046\\theta^4+6264048\\theta^3+558+2100591\\theta\\right)+x^{4}\\left(3388169\\theta-7521396\\theta^3-5037573\\theta^4+2030450-2351908\\theta^2\\right)-2 x^{5}\\left(2014896\\theta^4+11047341\\theta^3+24693967\\theta^2+23008058\\theta+7682256\\right)+x^{6}\\left(37321692\\theta+8697364+6817193\\theta^4+33832842\\theta^3+56561513\\theta^2\\right)+2 11 x^{7}\\left(351229\\theta^4+2420534\\theta^3+6030705\\theta^2+6243956\\theta+2275780\\right)+2^{2} 11^{2} x^{8}(3667\\theta^2+17036\\theta+18316)(\\theta+1)^2+2^{3} 11^{4} x^{9}(\\theta+1)^2(\\theta+2)^2", "superseek": "256/31 28062/31", "discriminant": "9 961 -87916 558095 387046 -5037573 -4029792 6817193 7727038 1774828 117128", "aesz": null, "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "924a831431fc249044fe63cfea0eb535", "dim_h": null, "inst": " 256/31 1982/31 28062/31 591475/31 15400630/31 457045532/31 14876658050/31 518347106445/31 19026808879462/31 727762687352558/31", "cleanlist": "True", "n_sing_real": "7", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "7", "laurent": null, "discriminant_tex": "(2z+1)(121z^2-86z+1)(z+1)^2(22z^2+147z-31)^2", "discr_factors": "117128, (z^2+147/22*z-31/22)^2, z^2-86/121*z+1/121, (z+1)^2, z+1/2", "dm_basis": null, "q": "0 1 -19 17 -325 -28465 -890463 -32285022 -1259241307 -51044658671", "yuk": "1 256/31 16112/31 757930/31 37870512/31 1925079006/31 98722608698/31 5102693711406/31 265393756370352/31 13870543673885728/31", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-147/44-1/44*24337^(1/2)","im":"0","approx_re":"-6.886436","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"-1","im":"0","approx_re":"-1.0","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/2","im":"0","approx_re":"-0.5","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":"43/121-24/121*3^(1/2)","im":"0","approx_re":"0.011825","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-147/44+1/44*24337^(1/2)","im":"0","approx_re":"0.204618","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"43/121+24/121*3^(1/2)","im":"0","approx_re":"0.698919","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": "[1225*X^4, -7350-51450*X-141225*X^2-179550*X^3-88725*X^4, -247800-944300*X-1429790*X^2-1012540*X^3-290680*X^4, -698040-2128350*X-2505165*X^2-1430250*X^3-361135*X^4, -1362600-5368940*X-6845926*X^2-1558804*X^3+573496*X^4, -7490076-19892278*X-15897011*X^2+984006*X^3+2224575*X^4, -10379376-21193956*X-10487858*X^2+3075756*X^3+2219246*X^4, -6481008-15183836*X-6972508*X^2+7310984*X^3-949784*X^4, -6251184-8696232*X+5388408*X^2+11708496*X^3-4200768*X^4, 2020752+11790432*X+16683948*X^2+5755464*X^3-2798676*X^4, 3729888+9670752*X+8492472*X^2+2639952*X^3+155736*X^4, -864*(X+1)*(657*X^3+1363*X^2+689*X-222), -11232*(X+2)*(X+1)*(115*X^2+339*X+270), -292032*(X+1)*(X+2)^2*(X+3)]", "text": "This is operator \"13.17\" from ...", "degz": 13, "h3": null, "sol": "1 6 156 5796 259296 12934296 693043356 39060776376 2285942985936 137729018824416", "n_discr_factors": null, "c3": null, "operator": "4 13 0 0 0 0 1225 -7350 -51450 -141225 -179550 -88725 -247800 -944300 -1429790 -1012540 -290680 -698040 -2128350 -2505165 -1430250 -361135 -1362600 -5368940 -6845926 -1558804 573496 -7490076 -19892278 -15897011 984006 2224575 -10379376 -21193956 -10487858 3075756 2219246 -6481008 -15183836 -6972508 7310984 -949784 -6251184 -8696232 5388408 11708496 -4200768 2020752 11790432 16683948 5755464 -2798676 3729888 9670752 8492472 2639952 155736 191808 -403488 -1772928 -1745280 -567648 -6065280 -16713216 -17038944 -7682688 -1291680 -3504384 -8176896 -6716736 -2336256 -292032", "new_number": "13.17", "id": 558, "operator_tex": "5^{2} 7^{2} \\theta^4-3 5^{2} 7 x\\left(169\\theta^4+342\\theta^3+269\\theta^2+98\\theta+14\\right)-2 5 x^{2}\\left(29068\\theta^4+101254\\theta^3+142979\\theta^2+94430\\theta+24780\\right)-5 x^{3}\\left(72227\\theta^4+286050\\theta^3+501033\\theta^2+425670\\theta+139608\\right)+2 x^{4}\\left(286748\\theta^4-779402\\theta^3-3422963\\theta^2-2684470\\theta-681300\\right)-x^{5}\\left(7490076+19892278\\theta+15897011\\theta^2-984006\\theta^3-2224575\\theta^4\\right)+2 x^{6}\\left(1109623\\theta^4+1537878\\theta^3-5243929\\theta^2-10596978\\theta-5189688\\right)-2^{2} x^{7}\\left(237446\\theta^4-1827746\\theta^3+1743127\\theta^2+3795959\\theta+1620252\\right)-2^{3} 3^{2} x^{8}\\left(58344\\theta^4-162618\\theta^3-74839\\theta^2+120781\\theta+86822\\right)-2^{2} 3^{2} x^{9}\\left(77741\\theta^4-159874\\theta^3-463443\\theta^2-327512\\theta-56132\\right)+2^{3} 3^{3} x^{10}\\left(721\\theta^4+12222\\theta^3+39317\\theta^2+44772\\theta+17268\\right)-2^{5} 3^{3} x^{11}(\\theta+1)(657\\theta^3+1363\\theta^2+689\\theta-222)-2^{5} 3^{3} 13 x^{12}(\\theta+2)(\\theta+1)(115\\theta^2+339\\theta+270)-2^{6} 3^{3} 13^{2} x^{13}(\\theta+1)(\\theta+2)^2(\\theta+3)", "superseek": "51/7 4071/7", "discriminant": null, "aesz": null, "n_sing_complex": null, "inst_int": null, "c2h": null, "hash": "1eb2bb810b4c7f191a26886aee350e18", "dim_h": null, "inst": " 51/7 1552/35 4071/7 378248/35 1721920/7 223809048/35 182271582 194623757576/35 6254523809013/35 41886987515942/7", "cleanlist": "True", "n_sing_real": null, "sol_explicit": null, "n_sing_rational": null, "n_sing": null, "laurent": null, "discriminant_tex": null, "discr_factors": null, "dm_basis": null, "q": "0 1 -18 52 -490 -15970 -423102 -13887327 -472801828 -16777481291", "yuk": "1 51/7 12671/35 109968/7 24220543/35 215240051/7 48343316624/35 437634068433/7 2847068231413 4559547857320317/35", "gv2": null, "gv0": null, "gv1": null}]}