{"count": 31, "status":"OK", "data":[{"pols": "[X^4, -128*X^4-256*X^3-252*X^2-124*X-24, 256*(4*X+3)*(X+1)^2*(4*X+5)]", "text": "This is operator \"2.63\" from ...", "degz": 2, "h3": null, "sol": "1 24 936 43008 2145960 112521024 6098593536 338463166464 19121128195752 1095276775623360", "n_discr_factors": "1", "c3": null, "operator": "4 2 0 0 0 0 1 -24 -124 -252 -256 -128 3840 15872 24320 16384 4096", "new_number": "2.63", "id": 59, "operator_tex": "\\theta^4-2^{2} x\\left(32\\theta^4+64\\theta^3+63\\theta^2+31\\theta+6\\right)+2^{8} x^{2}(4\\theta+3)(\\theta+1)^2(4\\theta+5)", "superseek": "-4 -44", "discriminant": "2 1 -128 4096", "aesz": "84", "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "908b978c0c447d3643c3018c40e7f5d1", "dim_h": null, "inst": " -4 -11 -44 -156 -288 3207 55764 578820 4717904 29814248", "cleanlist": "True", "n_sing_real": "2", "sol_explicit": "", "n_sing_rational": "2", "n_sing": "2", "laurent": null, "discriminant_tex": "(64z-1)^2", "discr_factors": "4096, (z-1/64)^2", "dm_basis": ["-96*lambda", "-6", "1", "1", "-2", "24", "-1", "0", "0", "-48", "0", "0", "48", "0", "0", "0"], "q": "0 1 -28 478 -6064 64813 -610696 5253394 -42301888 320357638", "yuk": "1 -4 -92 -1192 -10076 -36004 691432 19127048 296345764 3439350824", "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","0","1","1"],"monodromy":["1+96*lambda","1/4","-4*lambda",".5907751e-2","2","1","-1/12","4*lambda","0","6","1","1/4","-48","0","2","1-96*lambda"],"monodromy_dm":["1","4","-1","-1","0","-2","1/8","0","0","-72","4","0","0","60","-5/2","1"]},{"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, -12*(6*X+1)*(6*X+5)*(2*X^2+2*X+1), 144*(6*X+1)*(6*X+5)*(6*X+7)*(6*X+11)]", "text": "This is operator \"2.66\" from ...", "degz": 2, "h3": null, "sol": "1 60 13860 4084080 1338557220 465817912560 168470811709200 62588625639883200 23717177328413240100 9124964373613212524400", "n_discr_factors": "1", "c3": null, "operator": "4 2 0 0 0 0 1 -60 -552 -1416 -1728 -864 55440 476928 984960 746496 186624", "new_number": "2.66", "id": 62, "operator_tex": "\\theta^4-2^{2} 3 x(6\\theta+1)(6\\theta+5)(2\\theta^2+2\\theta+1)+2^{4} 3^{2} x^{2}(6\\theta+1)(6\\theta+5)(6\\theta+7)(6\\theta+11)", "superseek": "-192 -229568", "discriminant": "2 1 -864 186624", "aesz": null, "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "0fb32be57a9fcd1b243f9e1341b39d45", "dim_h": null, "inst": " -192 4182 -229568 19136058 -2006581440 243300073558 -32605941989568 4701237108506682 -716718972661760192 114174194786921304150", "cleanlist": "True", "n_sing_real": "2", "sol_explicit": "", "n_sing_rational": "2", "n_sing": "2", "laurent": null, "discriminant_tex": "(432z-1)^2", "discr_factors": "186624, (z-1/432)^2", "dm_basis": ["cy[DM_basis]"], "q": "0 1 -312 87084 -23067968 5930898126 -1495818530208 372227721831608 -91714975889456640 22426994284202015973", "yuk": "1 -192 33264 -6198528 1224740976 -250822680192 52552809723456 -11183838102422016 2407033400780162160 -522488131070429378496", "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":["cy[T_DM][1]"]},{"re":"1/432","im":"0","approx_re":"0.00231481481481","approx_im":"0.0","exponents":["0","0","1","1"],"monodromy":["1","0","58*lambda","0","1","1","5/6","-58*lambda","0","0","1","0","0","0","1","1"],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1/6","5/6","7/6","11/6"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -844*X^4-1688*X^3-1502*X^2-658*X-114, 324*(X+1)^2*(716*X^2+1432*X+579), -5143824*(X+1)*(X+2)*(2*X+1)*(2*X+5)]", "text": "", "degz": 3, "h3": null, "sol": "1 114 22518 5236980 1321024950 350026955964 95868151291836 26890684926709032 7679600418083446710 2224185601133574206700", "n_discr_factors": "2", "c3": null, "operator": "4 3 0 0 0 0 1 -114 -658 -1502 -1688 -844 187596 839160 1347516 927936 231984 -51438240 -200609136 -252047376 -123451776 -20575296", "new_number": "3.16", "id": 76, "operator_tex": "\\theta^4-2 x\\left(422\\theta^4+844\\theta^3+751\\theta^2+329\\theta+57\\right)+2^{2} 3^{4} x^{2}(\\theta+1)^2(716\\theta^2+1432\\theta+579)-2^{4} 3^{8} 7^{2} x^{3}(\\theta+1)(\\theta+2)(2\\theta+1)(2\\theta+5)", "superseek": "10 18328", "discriminant": "3 1 -844 231984 -20575296", "aesz": "386", "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "7d032616d3bd41272e22a4d23747d7a0", "dim_h": null, "inst": " 10 -872 18328 -432528 13706388 -713627232 41053701756 -1949477020672 79616564147614 -3586640630165072", "cleanlist": "True", "n_sing_real": "3", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "3", "laurent": null, "discriminant_tex": "-(196z-1)(-1+324z)^2", "discr_factors": "-20575296, (-1/324+z)^2, z-1/196", "dm_basis": ["-144*lambda", "-3/2", "1", "1", "-3/2", "9", "-1", "0", "0", "-18", "0", "0", "18", "0", "0", "0"], "q": "0 1 -202 34815 -5589412 858881991 -128034048246 18671714040813 -2678181565222632 379186080156493056", "yuk": "1 10 -6966 494866 -27688758 1713298510 -154142994222 14081419702318 -998132262272822 58040475264105472", "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":"1/324","im":"0","approx_re":"0.00308641975309","approx_im":"0.0","exponents":["0","0","1","1"],"monodromy":[],"monodromy_dm":[]},{"re":"1/196","im":"0","approx_re":"0.00510204081633","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","2","5/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -912*X^4-1824*X^3-1540*X^2-628*X-104, 2048*(X+1)^2*(132*X^2+264*X+109), -6553600*(X+1)*(X+2)*(2*X+1)*(2*X+5)]", "text": "This is operator \"3.17\" from ...", "degz": 3, "h3": "12", "sol": "1 104 18600 3925760 906368680 222749440704 57562268096256 15541087025418240 4366013175750231720 1272142436194984228160", "n_discr_factors": "2", "c3": "80", "operator": "4 3 0 0 0 0 1 -104 -628 -1540 -1824 -912 223232 987136 1574912 1081344 270336 -65536000 -255590400 -321126400 -157286400 -26214400", "new_number": "3.17", "id": 77, "operator_tex": "\\theta^4-2^{2} x\\left(228\\theta^4+456\\theta^3+385\\theta^2+157\\theta+26\\right)+2^{11} x^{2}(\\theta+1)^2(132\\theta^2+264\\theta+109)-2^{18} 5^{2} x^{3}(\\theta+1)(\\theta+2)(2\\theta+1)(2\\theta+5)", "superseek": "68 125636/3", "discriminant": "3 1 -912 270336 -26214400", "aesz": "387", "n_sing_complex": "0", "inst_int": "", "c2h": "24", "hash": "06864aab02693f4b84eb494138bb3428", "dim_h": "4", "inst": " 68 204 125636/3 841384 123715360 6684183300 733643578092 60209440521080 18981546511013648/3 622264120727284960", "cleanlist": "True", "n_sing_real": "3", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "3", "laurent": null, "discriminant_tex": "-(400z-1)(-1+256z)^2", "discr_factors": "-26214400, z-1/400, (-1/256+z)^2", "dm_basis": ["80*lambda", "3", "1", "1", "-1", "-6", "-1", "0", "0", "12", "0", "0", "-12", "0", "0", "0"], "q": "0 1 -212 38622 -6606224 1078429485 -171109302936 26547238818834 -4053702590226240 610863748603039494", "yuk": "1 68 1700 1130792 53850276 15464420068 1443784725224 251639747285624 30827233600643236 4612515802177447256", "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":"1/400","im":"0","approx_re":"0.0025","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/256","im":"0","approx_re":"0.00390625","approx_im":"0.0","exponents":["0","0","1","1"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1/2","1","2","5/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -1164*X^4-2328*X^3-1630*X^2-466*X-50, 4*(X+1)^2*(2316*X^2+4632*X+1907), -4624*(X+1)*(X+2)*(2*X+1)*(2*X+5)]", "text": "This is operator \"3.18\" from ...", "degz": 3, "h3": "6", "sol": "1 50 17142 9383540 6301530550 4753716061500 3866146815507900 3314249802229852200 2953892031977184333750 2712752476588987111093100", "n_discr_factors": "2", "c3": "-64", "operator": "4 3 0 0 0 0 1 -50 -466 -1630 -2328 -1164 7628 33784 53948 37056 9264 -46240 -180336 -226576 -110976 -18496", "new_number": "3.18", "id": 78, "operator_tex": "\\theta^4-2 x\\left(582\\theta^4+1164\\theta^3+815\\theta^2+233\\theta+25\\right)+2^{2} x^{2}(\\theta+1)^2(2316\\theta^2+4632\\theta+1907)-2^{4} 17^{2} x^{3}(\\theta+1)(\\theta+2)(2\\theta+1)(2\\theta+5)", "superseek": "266 11433160/3", "discriminant": "3 1 -1164 9264 -18496", "aesz": "388", "n_sing_complex": "0", "inst_int": "", "c2h": "36", "hash": "7e11db69c1b7bd8781e54a5eadb0e307", "dim_h": "4", "inst": " 266 19320 11433160/3 1106069392 397606861972 163708396964448 74029950842252412 35855597962756080032 54903164177222802846682/3 9735374577114117165638320", "cleanlist": "True", "n_sing_real": "3", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "3", "laurent": null, "discriminant_tex": "-(1156z-1)(4z-1)^2", "discr_factors": "-18496, (z-1/4)^2, z-1/1156", "dm_basis": ["-64*lambda", "5/2", "1", "1", "-3/2", "-3", "-1", "0", "0", "6", "0", "0", "-6", "0", "0", "0"], "q": "0 1 -266 14079 -3405860 -924112185 -466501974198 -237121195584531 -128307385503252456 -72331818578975524608", "yuk": "1 266 154826 102898706 70788595914 49700857746766 35361013847374034 25392273138892577582 18358066157001901572298 13341468895065141194642432", "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":"1/1156","im":"0","approx_re":"0.000865051903114","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","0","1","1"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1/2","1","2","5/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -1484*X^4-2968*X^3-2590*X^2-1106*X-190, 500*(X+1)^2*(1468*X^2+2936*X+1211), -30250000*(X+1)*(X+2)*(2*X+1)*(2*X+5)]", "text": "This is operator \"3.19\" from ...", "degz": 3, "h3": null, "sol": "1 190 61170 22892500 9212271250 3869786552940 1672479780348300 737623556493509400 330295807744478111250 149658514064364940277500", "n_discr_factors": "2", "c3": null, "operator": "4 3 0 0 0 0 1 -190 -1106 -2590 -2968 -1484 605500 2679000 4275500 2936000 734000 -302500000 -1179750000 -1482250000 -726000000 -121000000", "new_number": "3.19", "id": 83, "operator_tex": "\\theta^4-2 x\\left(742\\theta^4+1484\\theta^3+1295\\theta^2+553\\theta+95\\right)+2^{2} 5^{3} x^{2}(\\theta+1)^2(1468\\theta^2+2936\\theta+1211)-2^{4} 5^{6} 11^{2} x^{3}(\\theta+1)(\\theta+2)(2\\theta+1)(2\\theta+5)", "superseek": "66 69048", "discriminant": "3 1 -1484 734000 -121000000", "aesz": "389", "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "c5cca5b7bfc61c4e8b38fab025244078", "dim_h": null, "inst": " 66 -1780 69048 -3847892 244783420 -17023150656 1268866383332 -99335201453300 8072788047334050 -676052937380714920", "cleanlist": "True", "n_sing_real": "3", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "3", "laurent": null, "discriminant_tex": "-(484z-1)(-1+500z)^2", "discr_factors": "-121000000, z-1/484, (-1/500+z)^2", "dm_basis": null, "q": "0 1 -346 103911 -28978564 7722398595 -1995619017654 504388443319777 -125361402226128296 30750752988318147966", "yuk": "1 66 -14174 1864362 -246279262 30597927566 -3676998691574 435221169482942 -50859623390368862 5885062486508386812", "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":"1/500","im":"0","approx_re":"0.002","approx_im":"0.0","exponents":["0","0","1","1"],"monodromy":[],"monodromy_dm":[]},{"re":"1/484","im":"0","approx_re":"0.00206611570248","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","2","5/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -108*X^4-216*X^3-54*X^2+54*X+18, -2916*(X+1)^2*(20*X^2+40*X+17), -944784*(X+1)*(X+2)*(2*X+1)*(2*X+5)]", "text": "Operator equivalent to AESZ 73", "degz": 3, "h3": "9", "sol": "1 -18 2754 37620 43789410 6088103532 1715335241004 385807115999448 99807709568908770 25528366039107763260", "n_discr_factors": "2", "c3": "12", "operator": "4 3 0 0 0 0 1 18 54 -54 -216 -108 -49572 -215784 -341172 -233280 -58320 -9447840 -36846576 -46294416 -22674816 -3779136", "new_number": "3.7", "id": 102, "operator_tex": "\\theta^4-2 3^{2} x\\left(6\\theta^4+12\\theta^3+3\\theta^2-3\\theta-1\\right)-2^{2} 3^{6} x^{2}(\\theta+1)^2(20\\theta^2+40\\theta+17)-2^{4} 3^{10} x^{3}(\\theta+1)(\\theta+2)(2\\theta+1)(2\\theta+5)", "superseek": "90 151648", "discriminant": "3 1 -108 -58320 -3779136", "aesz": "~73", "n_sing_complex": "0", "inst_int": "", "c2h": "30", "hash": "9f672e1168859bdcc8ddc7a201c57968", "dim_h": "4", "inst": " 90 2196 151648 14813388 1820806056 256288477264 39613204229256 6558770323351260 1144477326915177220 208148451286833099936", "cleanlist": "True", "n_sing_real": "3", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "3", "laurent": null, "discriminant_tex": "-(324z-1)(1+108z)^2", "discr_factors": "-3779136, z-1/324, (1/108+z)^2", "dm_basis": null, "q": "0 1 -18 -6885 -284964 -3892887 -2544634278 -635787930573 -114092490856392 -21147227686705293", "yuk": "1 90 17658 4094586 948074490 227600757090 55358315201178 13587329050634898 3358090406503919610 834323971321168287966", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/108","im":"0","approx_re":"-0.00925925925926","approx_im":"0.0","exponents":["0","0","1","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":"1/324","im":"0","approx_re":"0.00308641975309","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","2","5/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[25*X^4, 2720*X^4+4480*X^3+3940*X^2+1700*X+300, 89344*X^4+259072*X^3+350784*X^2+236800*X+63280, 1245184*X^4+4669440*X^3+7458816*X^2+5621760*X+1597440, 7602176*X^4+30932992*X^3+48431104*X^2+32964608*X+8208384, 16777216*(X+1)^4]", "text": "There is a second MUM-point at infinity,\ncorresponding to the Operator AESZ 263/5.57", "degz": 5, "h3": null, "sol": "1 -12 236 -6384 217836 -8674512 381058544 -17846749632 873802015468 -44205033911952", "n_discr_factors": "3", "c3": null, "operator": "4 5 0 0 0 0 25 300 1700 3940 4480 2720 63280 236800 350784 259072 89344 1597440 5621760 7458816 4669440 1245184 8208384 32964608 48431104 30932992 7602176 16777216 67108864 100663296 67108864 16777216", "new_number": "5.56", "id": 267, "operator_tex": "5^{2} \\theta^4+2^{2} 5 x\\left(136\\theta^4+224\\theta^3+197\\theta^2+85\\theta+15\\right)+2^{4} x^{2}\\left(5584\\theta^4+16192\\theta^3+21924\\theta^2+14800\\theta+3955\\right)+2^{11} x^{3}\\left(608\\theta^4+2280\\theta^3+3642\\theta^2+2745\\theta+780\\right)+2^{14} x^{4}\\left(464\\theta^4+1888\\theta^3+2956\\theta^2+2012\\theta+501\\right)+2^{24} x^{5}\\left((\\theta+1)^4\\right)", "superseek": "-28/5 -1268/5", "discriminant": "5 25 2720 89344 1245184 7602176 16777216", "aesz": "262", "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "4899f97226a5ec3b1ded2994470e9fdc", "dim_h": null, "inst": " -28/5 153/5 -1268/5 18598/5 -320048/5 6328003/5 -137296404/5 3185758982/5 -77892222744/5 1984455155124/5", "cleanlist": "True", "n_sing_real": "4", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "4", "laurent": null, "discriminant_tex": "(1+64z)(32z+5)^2(16z+1)^2", "discr_factors": "16777216, (z+1/16)^2, 1/64+z, (z+5/32)^2", "dm_basis": null, "q": "0 1 20 230 2896 22145 310968 -432142 67997504 -1435072876", "yuk": "1 -28/5 1196/5 -34264/5 1191468/5 -40006028/5 1366815608/5 -9418533320 1631109790252/5 -11356686082928", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-5/32","im":"0","approx_re":"-0.15625","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","1","1"],"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":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1","1","1","1"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, 7424*X^4-512*X^3+1216*X^2+1472*X+336, 19922944*X^4+4980736*X^3+14745600*X^2+4292608*X+163840, 23420993536*X^4+25769803776*X^3+28739371008*X^2+11777605632*X+1975517184, 11682311045120*X^4+27487790694400*X^3+29291676958720*X^2+15547781611520*X+3350074490880, 1759218604441600*(X+1)^4]", "text": "There is a second MUM-point at infinity,\ncorresponding to Operator AESZ 262/5.56", "degz": 5, "h3": null, "sol": "1 -336 198416 -142318848 112152177936 -93351842555136 80529573836308736 -71239576786325262336 64211432766884647771408 -58719439168904679249536256", "n_discr_factors": "3", "c3": null, "operator": "4 5 0 0 0 0 1 336 1472 1216 -512 7424 163840 4292608 14745600 4980736 19922944 1975517184 11777605632 28739371008 25769803776 23420993536 3350074490880 15547781611520 29291676958720 27487790694400 11682311045120 1759218604441600 7036874417766400 10555311626649600 7036874417766400 1759218604441600", "new_number": "5.57", "id": 268, "operator_tex": "\\theta^4+2^{4} x\\left(464\\theta^4-32\\theta^3+76\\theta^2+92\\theta+21\\right)+2^{15} x^{2}\\left(608\\theta^4+152\\theta^3+450\\theta^2+131\\theta+5\\right)+2^{22} x^{3}\\left(5584\\theta^4+6144\\theta^3+6852\\theta^2+2808\\theta+471\\right)+2^{34} 5 x^{4}\\left(136\\theta^4+320\\theta^3+341\\theta^2+181\\theta+39\\right)+2^{46} 5^{2} x^{5}\\left((\\theta+1)^4\\right)", "superseek": "1312 58156704", "discriminant": "5 1 7424 19922944 23420993536 11682311045120 1759218604441600", "aesz": "263", "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "2157fe92de97f7b684b3cbd7b8bdf280", "dim_h": null, "inst": " 1312 -211968 58156704 -19819112104 7519377878624 -3012318999683072 1232376137934942240 -500667031433854121000 195372771916305547947776 -69064326912662753956586496", "cleanlist": "True", "n_sing_real": "4", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "4", "laurent": null, "discriminant_tex": "(1+256z)(1024z+1)^2(2560z+1)^2", "discr_factors": "1759218604441600, (z+1/2560)^2, (z+1/1024)^2, 1/256+z", "dm_basis": null, "q": "0 1 128 -20128 10958848 -5555650000 2838355329024 -1438773593984512 715220103942373376 -343517369577114490216", "yuk": "1 1312 -1694432 1570232320 -1268424869088 939922234829312 -650660902363006976 422705015311685189632 -256341520095401734821088 142426750726986746024161024", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/256","im":"0","approx_re":"-0.00390625","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/1024","im":"0","approx_re":"-0.0009765625","approx_im":"0.0","exponents":["0","0","1","1"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/2560","im":"0","approx_re":"-0.000390625","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","1","1","1"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[25*X^4, -405*X^4-1620*X^3-1860*X^2-1050*X-225, -24786*X^4-81648*X^3-117126*X^2-80190*X-21960, 275562*X^4+2361960*X^3+5629338*X^2+5183190*X+1674270, 4782969*X^4+25509168*X^3+43341966*X^2+30587382*X+7768224, 14348907*(X+1)^4]", "text": "There is a second MUM-point at infinity, corresponding to\nOperator AESZ 267/5.59", "degz": 5, "h3": null, "sol": "1 9 171 3087 69579 1469259 35132301 794840769 19583956683 460583978931", "n_discr_factors": "3", "c3": null, "operator": "4 5 0 0 0 0 25 -225 -1050 -1860 -1620 -405 -21960 -80190 -117126 -81648 -24786 1674270 5183190 5629338 2361960 275562 7768224 30587382 43341966 25509168 4782969 14348907 57395628 86093442 57395628 14348907", "new_number": "5.58", "id": 269, "operator_tex": "5^{2} \\theta^4-3 5 x\\left(27\\theta^4+108\\theta^3+124\\theta^2+70\\theta+15\\right)-2 3^{2} x^{2}\\left(1377\\theta^4+4536\\theta^3+6507\\theta^2+4455\\theta+1220\\right)+2 3^{5} x^{3}\\left(567\\theta^4+4860\\theta^3+11583\\theta^2+10665\\theta+3445\\right)+3^{8} x^{4}\\left(729\\theta^4+3888\\theta^3+6606\\theta^2+4662\\theta+1184\\right)+3^{15} x^{5}\\left((\\theta+1)^4\\right)", "superseek": "-18/5 -642/5", "discriminant": "5 25 -405 -24786 275562 4782969 14348907", "aesz": "266\n", "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "5d46913a13c5fa5fa6a547d8b5646133", "dim_h": null, "inst": " -18/5 117/10 -642/5 1197 -76788/5 2203593/10 -17643978/5 303594291/5 -1101609276 104184958419/5", "cleanlist": "True", "n_sing_real": "4", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "4", "laurent": null, "discriminant_tex": "(1+27z)(27z+5)^2(27z-1)^2", "discr_factors": "14348907, (z-1/27)^2, 1/27+z, (z+5/27)^2", "dm_basis": null, "q": "0 1 -6 -81 1510 -10263 44064 -698494 20872590 -484387938", "yuk": "1 -18/5 90 -17352/5 76698 -9598518/5 47594232 -6051884472/5 155440660482/5 -4015365828372/5", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-5/27","im":"0","approx_re":"-0.185185185185","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/27","im":"0","approx_re":"-0.037037037037","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"1/27","im":"0","approx_re":"0.037037037037","approx_im":"0.0","exponents":["0","0","1","1"],"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, 6561*X^4-8748*X^3-6156*X^2-1782*X-279, 7440174*X^4-34012224*X^3+5314410*X^2+2480058*X+918540, -13172296626*X^4-9298091736*X^3-11106054018*X^2-4390765542*X-1080950994, -4236443047215*X^4+5962401325710*X^2+5962401325710*X+1882863576540, 5147278302366225*(X+1)^4]", "text": "There is a second MUM-point at infinity, corresponding to\nOperator AESZ 266/5.58", "degz": 5, "h3": null, "sol": "1 279 124011 64869777 36848978379 21998516212629 13576417815818061 8580116213203618719 5520066684174606599883 3600982100772644288927661", "n_discr_factors": "3", "c3": null, "operator": "4 5 0 0 0 0 1 -279 -1782 -6156 -8748 6561 918540 2480058 5314410 -34012224 7440174 -1080950994 -4390765542 -11106054018 -9298091736 -13172296626 1882863576540 5962401325710 5962401325710 0 -4236443047215 5147278302366225 20589113209464900 30883669814197350 20589113209464900 5147278302366225", "new_number": "5.59", "id": 270, "operator_tex": "\\theta^4+3^{2} x\\left(729\\theta^4-972\\theta^3-684\\theta^2-198\\theta-31\\right)+2 3^{8} x^{2}\\left(567\\theta^4-2592\\theta^3+405\\theta^2+189\\theta+70\\right)-2 3^{14} x^{3}\\left(1377\\theta^4+972\\theta^3+1161\\theta^2+459\\theta+113\\right)-3^{22} 5 x^{4}\\left(27\\theta^4-38\\theta^2-38\\theta-12\\right)+3^{30} 5^{2} x^{5}\\left((\\theta+1)^4\\right)", "superseek": "1818 467810538", "discriminant": "5 1 6561 7440174 -13172296626 -4236443047215 5147278302366225", "aesz": "267", "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "924287a9ba8517571071ec73d860af7e", "dim_h": null, "inst": " 1818 -681336 467810538 -422903176767 446062311232740 -519402409798743174 647892884549133772434 -850164640719377212142649 1159772332620656681302786044 -1631505517025864921717367507570", "cleanlist": "True", "n_sing_real": "4", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "4", "laurent": null, "discriminant_tex": "(1+729z)(3645z+1)^2(729z-1)^2", "discr_factors": "5147278302366225, 1/729+z, (z+1/3645)^2, (z-1/729)^2", "dm_basis": null, "q": "0 1 -666 575343 -616165062 752261852457 -996972190760160 1396191940153465410 -2033717234011998737454 3050702206815313433430558", "yuk": "1 1818 -5448870 12630886344 -27065808761958 55757788904094318 -112190920503903089928 222227259400352883946680 -435284296048348198425798246 845474030480458720682361912420", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/729","im":"0","approx_re":"-0.00137174211248","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/3645","im":"0","approx_re":"-0.000274348422497","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":"1/729","im":"0","approx_re":"0.00137174211248","approx_im":"0.0","exponents":["0","0","1","1"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1","1","1","1"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[25*X^4, -11840*X^4-31360*X^3-28380*X^2-12700*X-2300, 1048576*X^4+8224768*X^3+14445056*X^2+9574400*X+2315760, 109051904*X^4+125829120*X^3-609091584*X^2-813957120*X-271426560, -4294967296*X^4-40802189312*X^3-76403441664*X^2-53485764608*X-12859211776, -67108864*(8*X+5)*(8*X+7)*(8*X+9)*(8*X+11)]", "text": "This is operator \"5.67\" from ...", "degz": 5, "h3": null, "sol": "1 92 14124 2572400 510577900 106698949392 23073900762864 5112820919583168 1153747673591018220 264058057845710757200", "n_discr_factors": "3", "c3": null, "operator": "4 5 0 0 0 0 25 -2300 -12700 -28380 -31360 -11840 2315760 9574400 14445056 8224768 1048576 -271426560 -813957120 -609091584 125829120 109051904 -12859211776 -53485764608 -76403441664 -40802189312 -4294967296 -232532213760 -1013612281856 -1606317768704 -1099511627776 -274877906944", "new_number": "5.67", "id": 279, "operator_tex": "5^{2} \\theta^4-2^{2} 5 x\\left(592\\theta^4+1568\\theta^3+1419\\theta^2+635\\theta+115\\right)+2^{4} x^{2}\\left(65536\\theta^4+514048\\theta^3+902816\\theta^2+598400\\theta+144735\\right)+2^{10} x^{3}\\left(106496\\theta^4+122880\\theta^3-594816\\theta^2-794880\\theta-265065\\right)-2^{19} x^{4}\\left(8192\\theta^4+77824\\theta^3+145728\\theta^2+102016\\theta+24527\\right)-2^{26} x^{5}(8\\theta+5)(8\\theta+7)(8\\theta+9)(8\\theta+11)", "superseek": "116/5 186172/5", "discriminant": "5 25 -11840 1048576 109051904 -4294967296 -274877906944", "aesz": "275", "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "f411d346afd4b8ff14b8b4c1836bae77", "dim_h": null, "inst": " 116/5 -5993/5 186172/5 -8039756/5 384321296/5 -4052885815 1165997831068/5 -71146153051852/5 4532878454152584/5 -297595933756401716/5", "cleanlist": "True", "n_sing_real": "4", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "4", "laurent": null, "discriminant_tex": "-(-1+64z)(256z+5)^2(256z-1)^2", "discr_factors": "-274877906944, -1/64+z, (z+5/256)^2, (z-1/256)^2", "dm_basis": null, "q": "0 1 -140 15654 -1622960 162641409 -15912329736 1528405518258 -144717142975680 13548270698953236", "yuk": "1 116/5 -47828/5 1005352 -514592212/5 48040162116/5 -4377111701384/5 79987451211288 -36426830877140436/5 3304468393082260496/5", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-5/256","im":"0","approx_re":"-0.01953125","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":"1/256","im":"0","approx_re":"0.00390625","approx_im":"0.0","exponents":["0","0","1","1"],"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":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["5/8","7/8","9/8","11/8"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[9*X^4, 2640*X^4+1824*X^3+2484*X^2+1572*X+372, 191856+599936*X+329728*X^4+526336*X^3+802112*X^2, 23023616*X^4+62251008*X^3+109844480*X^2+100116480*X+39077120, 9009102848*X+4105736192+3960471552*X^3+8315568128*X^2+993067008*X^4, 27598520320*X^4+149627600896*X^3+376665276416*X^2+477045456896*X+248886853632, 10463748292608*X^2+15322966917120*X+9051836514304+499961036800*X^4+3488587186176*X^3, 177435836416000*X^2+297170934693888*X+196857946963968+5828270620672*X^4+50311246905344*X^3, 433757337157632*X^3+1770866555748352*X^2+3349799612973056*X+2460402080284672+41850161332224*X^4, 2031897488130048*X^3+9460198045384704*X^2+19956136044134400*X+16058917079482368+167125767421952*X^4, 17592186044416*(2*X+7)^4]", "text": "This is operator \"10.10\" from ...", "degz": 10, "h3": null, "sol": "1 -124/3 1220 -872528/27 67351172/81 -1741892240/81 413249387056/729 -33429586158784/2187 920977093633004/2187 -232610825241955952/19683", "n_discr_factors": "5", "c3": null, "operator": "4 10 0 0 0 0 9 372 1572 2484 1824 2640 191856 599936 802112 526336 329728 39077120 100116480 109844480 62251008 23023616 4105736192 9009102848 8315568128 3960471552 993067008 248886853632 477045456896 376665276416 149627600896 27598520320 9051836514304 15322966917120 10463748292608 3488587186176 499961036800 196857946963968 297170934693888 177435836416000 50311246905344 5828270620672 2460402080284672 3349799612973056 1770866555748352 433757337157632 41850161332224 16058917079482368 19956136044134400 9460198045384704 2031897488130048 167125767421952 42238838692642816 48272958505877504 20688410788233216 3940649673949184 281474976710656", "new_number": "10.10", "id": 316, "operator_tex": "3^{2} \\theta^4+2^{2} 3 x\\left(220\\theta^4+152\\theta^3+207\\theta^2+131\\theta+31\\right)+2^{4} x^{2}\\left(20608\\theta^4+32896\\theta^3+50132\\theta^2+37496\\theta+11991\\right)+2^{8} x^{3}\\left(89936\\theta^4+243168\\theta^3+429080\\theta^2+391080\\theta+152645\\right)+2^{12} x^{4}\\left(242448\\theta^4+966912\\theta^3+2030168\\theta^2+2199488\\theta+1002377\\right)+2^{20} x^{5}\\left(26320\\theta^4+142696\\theta^3+359216\\theta^2+454946\\theta+237357\\right)+2^{23} x^{6}\\left(59600\\theta^4+415872\\theta^3+1247376\\theta^2+1826640\\theta+1079063\\right)+2^{28} x^{7}\\left(21712\\theta^4+187424\\theta^3+661000\\theta^2+1107048\\theta+733353\\right)+2^{32} x^{8}\\left(9744\\theta^4+100992\\theta^3+412312\\theta^2+779936\\theta+572857\\right)+2^{39} x^{9}\\left(304\\theta^4+3696\\theta^3+17208\\theta^2+36300\\theta+29211\\right)+2^{44} x^{10}\\left((2\\theta+7)^4\\right)", "superseek": "28/3 83612/81", "discriminant": "10 9 2640 329728 23023616 993067008 27598520320 499961036800 5828270620672 41850161332224 167125767421952 281474976710656", "aesz": null, "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "8270c1ecc701d7cbd422a656c6118587", "dim_h": null, "inst": " 28/3 -695/9 83612/81 -4447894/243 274874464/729 -2077173367/243 4081753541204/19683 -312366961703026/59049 140257666624 -18340322237430477512/4782969", "cleanlist": "True", "n_sing_real": "7", "sol_explicit": "", "n_sing_rational": "5", "n_sing": "7", "laurent": null, "discriminant_tex": "(1+48z+256z^2)(32z+1)^2(16z+1)^2(32z+3)^2(64z+1)^2", "discr_factors": "281474976710656, 1/256+3/16*z+z^2, (z+3/32)^2, (z+1/32)^2, (z+1/16)^2, (z+1/64)^2", "dm_basis": null, "q": "0 1 28/3 202/3 -2800/81 1954063/243 -199144 38163099794/6561 -3354947143744/19683 5107699714", "yuk": "1 28/3 -5476/9 27880 -284813068/243 34359314804/729 -1846349064 1400041464816680/19683 -159931953601524836/59049 102247838996776", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"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":"-3/32","im":"0","approx_re":"-0.09375","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":"-1/32","im":"0","approx_re":"-0.03125","approx_im":"0.0","exponents":["0","0","1","1"],"monodromy":[],"monodromy_dm":[]},{"re":"-3/32+1/32*5^(1/2)","im":"0","approx_re":"-0.023873","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","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":["7/2","7/2","7/2","7/2"],"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": "[961*X^4, -31*X*(790*X^3+2930*X^2+1868*X+403), -2814085*X^4-9964954*X^3-13382605*X^2-8541027*X-2183392, -77649704*X^4-350426364*X^3-626329390*X^2-517109481*X-165295596, -1130950485*X^4-6282081612*X^3-13577302372*X^2-13176194701*X-4791500140, -10174204338*X^4-66980706054*X^3-167325460826*X^2-182996671594*X-72827286420, -59691820411*X^4-451633384578*X^3-1266886011283*X^2-1521913712448*X-648339514868, -230730761372*X^4-1954510456048*X^3-6018773050236*X^2-7791703816840*X-3498781134176, -4*(X+1)*(143617960931*X^3+1184948771451*X^2+3211500965214*X+2815433689448), -32*(X+1)*(X+2)*(27089561480*X^2+184897066731*X+314481835312), -71232*(X+3)*(X+2)*(X+1)*(9822371*X+40000042), -227695652352*(X+1)*(X+2)*(X+3)*(X+4)]", "text": "This is operator \"11.11\" from ...", "degz": 11, "h3": null, "sol": "1 0 142 4632 227538 11877000 666512260 39229506960 2394385433650 150321478347600", "n_discr_factors": "5", "c3": null, "operator": "4 11 0 0 0 0 961 0 -12493 -57908 -90830 -24490 -2183392 -8541027 -13382605 -9964954 -2814085 -165295596 -517109481 -626329390 -350426364 -77649704 -4791500140 -13176194701 -13577302372 -6282081612 -1130950485 -72827286420 -182996671594 -167325460826 -66980706054 -10174204338 -648339514868 -1521913712448 -1266886011283 -451633384578 -59691820411 -3498781134176 -7791703816840 -6018773050236 -1954510456048 -230730761372 -11261734757792 -24107738618648 -17585798946660 -5314266929528 -574471843724 -20126837459968 -42023668460736 -29547269070880 -8517304037472 -866865967360 -17095697950464 -35540115695616 -24792036392256 -7047285778176 -699667131072 -5464695656448 -11384782617600 -7969347832320 -2276956523520 -227695652352", "new_number": "11.11", "id": 327, "operator_tex": "31^{2} \\theta^4-31 x\\theta(790\\theta^3+2930\\theta^2+1868\\theta+403)-x^{2}\\left(2814085\\theta^4+9964954\\theta^3+13382605\\theta^2+8541027\\theta+2183392\\right)-x^{3}\\left(77649704\\theta^4+350426364\\theta^3+626329390\\theta^2+517109481\\theta+165295596\\right)-x^{4}\\left(1130950485\\theta^4+6282081612\\theta^3+13577302372\\theta^2+13176194701\\theta+4791500140\\right)-2 x^{5}\\left(5087102169\\theta^4+33490353027\\theta^3+83662730413\\theta^2+91498335797\\theta+36413643210\\right)-x^{6}\\left(59691820411\\theta^4+451633384578\\theta^3+1266886011283\\theta^2+1521913712448\\theta+648339514868\\right)-2^{2} x^{7}\\left(57682690343\\theta^4+488627614012\\theta^3+1504693262559\\theta^2+1947925954210\\theta+874695283544\\right)-2^{2} x^{8}(\\theta+1)(143617960931\\theta^3+1184948771451\\theta^2+3211500965214\\theta+2815433689448)-2^{5} x^{9}(\\theta+1)(\\theta+2)(27089561480\\theta^2+184897066731\\theta+314481835312)-2^{6} 3 7 53 x^{10}(\\theta+3)(\\theta+2)(\\theta+1)(9822371\\theta+40000042)-2^{9} 3^{2} 7^{2} 53^{2} 359 x^{11}(\\theta+1)(\\theta+2)(\\theta+3)(\\theta+4)", "superseek": "256/31 28062/31", "discriminant": "11 961 -24490 -2814085 -77649704 -1130950485 -10174204338 -59691820411 -230730761372 -574471843724 -866865967360 -699667131072 -227695652352", "aesz": null, "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "dbd551a4eb6b44b1575c949fe3158ad8", "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": "8", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "8", "laurent": null, "discriminant_tex": "-(8z+1)(359z^2+74z-1)(7z+1)^2(6z+1)^2(212z^2+225z+31)^2", "discr_factors": "-227695652352, (z+1/6)^2, (z^2+225/212*z+31/212)^2, (z+1/7)^2, z+1/8, z^2+74/359*z-1/359", "dm_basis": null, "q": "0 1 -13 -175 209 -10537 -1140801 -40688550 -1469169385 -59454919919", "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":"-225/424-1/424*24337^(1/2)","im":"0","approx_re":"-0.898592","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"-37/359-24/359*3^(1/2)","im":"0","approx_re":"-0.218856","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/6","im":"0","approx_re":"-0.166666666667","approx_im":"0.0","exponents":["0","0","1","1"],"monodromy":[],"monodromy_dm":[]},{"re":"-225/424+1/424*24337^(1/2)","im":"0","approx_re":"-0.162728","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/7","im":"0","approx_re":"-0.142857142857","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/8","im":"0","approx_re":"-0.125","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"-37/359+24/359*3^(1/2)","im":"0","approx_re":"0.012728","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": "[289*X^4, -102*X^2*(117*X^2+2*X+1), 33900*X^4-256704*X^3-388040*X^2-254320*X-64736, 2868376*X^4+5603184*X^3+5973468*X^2+3574284*X+1016328, -7428704*X^4+18132224*X^3+26374256*X^2+19204960*X+6005376, -292523200*X^4-751934848*X^3-1329579376*X^2-1176282768*X-410967008, -520298112*X^4-1411777536*X^3-3489617856*X^2-3607239936*X-1145515776, 9879612160*X^4+60669785600*X^3+151243970240*X^2+169363710784*X+68575288704, 256*(X+1)*(119648213*X^3+399067803*X^2+77665606*X-498465144), -768*(X+1)*(X+2)*(120410834*X^2+865960638*X+1188072247), -986112*(X+3)*(X+2)*(X+1)*(218683*X-39394), 433662474240*(X+1)*(X+2)*(X+3)*(X+4)]", "text": "This is operator \"11.8\" from ...", "degz": 11, "h3": null, "sol": "1 0 14 72 1554 22560 423500 7746480 151523890 3008960640", "n_discr_factors": "5", "c3": null, "operator": "4 11 0 0 0 0 289 0 0 -102 -204 -11934 -64736 -254320 -388040 -256704 33900 1016328 3574284 5973468 5603184 2868376 6005376 19204960 26374256 18132224 -7428704 -410967008 -1176282768 -1329579376 -751934848 -292523200 -1145515776 -3607239936 -3489617856 -1411777536 -520298112 68575288704 169363710784 151243970240 60669785600 9879612160 -127607076864 -107724681728 122043752704 132791300096 30629942528 -1824878971392 -4067433997056 -3092563836672 -942484331520 -92475520512 233081376768 -866559725568 -2139023858688 -1255028686848 -215645930496 10407899381760 21683123712000 15178186598400 4336624742400 433662474240", "new_number": "11.8", "id": 345, "operator_tex": "17^{2} \\theta^4-2 3 17 x\\theta^2(117\\theta^2+2\\theta+1)+2^{2} x^{2}\\left(8475\\theta^4-64176\\theta^3-97010\\theta^2-63580\\theta-16184\\right)+2^{2} x^{3}\\left(717094\\theta^4+1400796\\theta^3+1493367\\theta^2+893571\\theta+254082\\right)-2^{4} x^{4}\\left(464294\\theta^4-1133264\\theta^3-1648391\\theta^2-1200310\\theta-375336\\right)-2^{4} x^{5}\\left(18282700\\theta^4+46995928\\theta^3+83098711\\theta^2+73517673\\theta+25685438\\right)-2^{6} 3 x^{6}\\left(2709886\\theta^4+7353008\\theta^3+18175093\\theta^2+18787708\\theta+5966228\\right)+2^{6} x^{7}\\left(154368940\\theta^4+947965400\\theta^3+2363187035\\theta^2+2646307981\\theta+1071488886\\right)+2^{8} x^{8}(\\theta+1)(119648213\\theta^3+399067803\\theta^2+77665606\\theta-498465144)-2^{8} 3 x^{9}(\\theta+1)(\\theta+2)(120410834\\theta^2+865960638\\theta+1188072247)-2^{10} 3^{2} 107 x^{10}(\\theta+3)(\\theta+2)(\\theta+1)(218683\\theta-39394)+2^{11} 3^{3} 5 107^{2} 137 x^{11}(\\theta+1)(\\theta+2)(\\theta+3)(\\theta+4)", "superseek": "6/17 688/17", "discriminant": "11 289 -11934 33900 2868376 -7428704 -292523200 -520298112 9879612160 30629942528 -92475520512 -215645930496 433662474240", "aesz": null, "n_sing_complex": "2", "inst_int": "", "c2h": null, "hash": "a0a3e346d09b91b8ad96e54854c136ad", "dim_h": null, "inst": " 6/17 83/17 688/17 7350/17 5150 1143830/17 15887970/17 233522114/17 3587858746/17 57218160425/17", "cleanlist": "True", "n_sing_real": "7", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "9", "laurent": null, "discriminant_tex": "(10z+1)(6z-1)(1096z^3+228z^2+14z-1)(2z-1)^2(1284z^2+232z-17)^2", "discr_factors": "433662474240, (z^2+58/321*z-17/1284)^2, z+1/10, (z-1/2)^2, z^3+57/274*z^2+7/548*z-1/1096, z-1/6", "dm_basis": null, "q": "0 1 0 -27 -204 -1976 -27104 -412712 -6405368 -104277878", "yuk": "1 6/17 670/17 18582/17 27710 10943756/17 247086526/17 5449573716/17 119563793438/17 2615549044416/17", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-29/321-1/642*8821^(1/2)","im":"0","approx_re":"-0.236636","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/1644*(314172+37812*69^(1/2))^(1/3)-31/137/(314172+37812*69^(1/2))^(1/3)-19/274","im":"-1/4*3^(1/2)*(1/411*(314172+37812*69^(1/2))^(1/3)-124/137/(314172+37812*69^(1/2))^(1/3))","approx_re":"-0.124082","approx_im":"-0.085658","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/1644*(314172+37812*69^(1/2))^(1/3)-31/137/(314172+37812*69^(1/2))^(1/3)-19/274","im":"1/4*3^(1/2)*(1/411*(314172+37812*69^(1/2))^(1/3)-124/137/(314172+37812*69^(1/2))^(1/3))","approx_re":"-0.124082","approx_im":"0.085658","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/10","im":"0","approx_re":"-0.1","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"1/822*(314172+37812*69^(1/2))^(1/3)+62/137/(314172+37812*69^(1/2))^(1/3)-19/274","im":"0","approx_re":"0.040135","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-29/321+1/642*8821^(1/2)","im":"0","approx_re":"0.05595","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"1/6","im":"0","approx_re":"0.166666666667","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/2","im":"0","approx_re":"0.5","approx_im":"0.0","exponents":["0","0","1","1"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1","2","3","4"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[9*X^4, -3*X*(20*X^3+196*X^2+125*X+27), -19127*X^4-69044*X^3-89705*X^2-54504*X-13248, -571598*X^4-2502840*X^3-4285266*X^2-3356496*X-1023120, -8232500*X^4-44760880*X^3-93499500*X^2-86632240*X-30226016, -68565480*X^4-456243648*X^3-1127475304*X^2-1197017168*X-462870080, -344479104*X^4-2763749952*X^3-7959090176*X^2-9534677952*X-4021733504, -1010901888*X^4-9695372544*X^3-32340933760*X^2-43423287040*X-19815752704, -1024*(X+1)*(1454893*X^3+15409953*X^2+50286726*X+48898444), -2048*(X+1)*(X+2)*(227963*X^2+3375435*X+10342960), 16384*(X+3)*(X+2)*(X+1)*(48476*X+271867), -146964480*(X+1)*(X+2)*(X+3)*(X+4)]", "text": "This is operator \"11.9\" from ...", "degz": 11, "h3": null, "sol": "1 0 92 2328 91212 3748080 166091960 7711023600 371249016460 18382200113760", "n_discr_factors": "6", "c3": null, "operator": "4 11 0 0 0 0 9 0 -81 -375 -588 -60 -13248 -54504 -89705 -69044 -19127 -1023120 -3356496 -4285266 -2502840 -571598 -30226016 -86632240 -93499500 -44760880 -8232500 -462870080 -1197017168 -1127475304 -456243648 -68565480 -4021733504 -9534677952 -7959090176 -2763749952 -344479104 -19815752704 -43423287040 -32340933760 -9695372544 -1010901888 -50072006656 -101565614080 -67273399296 -17269602304 -1489810432 -42364764160 -77372928000 -42854791168 -8313495552 -466868224 26725613568 53762342912 35462152192 9219653632 794230784 -3527147520 -7348224000 -5143756800 -1469644800 -146964480", "new_number": "11.9", "id": 346, "operator_tex": "3^{2} \\theta^4-3 x\\theta(20\\theta^3+196\\theta^2+125\\theta+27)-x^{2}\\left(19127\\theta^4+69044\\theta^3+89705\\theta^2+54504\\theta+13248\\right)-2 x^{3}\\left(285799\\theta^4+1251420\\theta^3+2142633\\theta^2+1678248\\theta+511560\\right)-2^{2} x^{4}\\left(2058125\\theta^4+11190220\\theta^3+23374875\\theta^2+21658060\\theta+7556504\\right)-2^{3} x^{5}\\left(8570685\\theta^4+57030456\\theta^3+140934413\\theta^2+149627146\\theta+57858760\\right)-2^{6} x^{6}\\left(5382486\\theta^4+43183593\\theta^3+124360784\\theta^2+148979343\\theta+62839586\\right)-2^{7} x^{7}\\left(7897671\\theta^4+75745098\\theta^3+252663545\\theta^2+339244430\\theta+154810568\\right)-2^{10} x^{8}(\\theta+1)(1454893\\theta^3+15409953\\theta^2+50286726\\theta+48898444)-2^{11} x^{9}(\\theta+1)(\\theta+2)(227963\\theta^2+3375435\\theta+10342960)+2^{14} x^{10}(\\theta+3)(\\theta+2)(\\theta+1)(48476\\theta+271867)-2^{15} 3 5 13 23 x^{11}(\\theta+1)(\\theta+2)(\\theta+3)(\\theta+4)", "superseek": "17/3 4127/9", "discriminant": "11 9 -60 -19127 -571598 -8232500 -68565480 -344479104 -1010901888 -1489810432 -466868224 794230784 -146964480", "aesz": null, "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "fa7c260e6f07cef5d727e6af380a6373", "dim_h": null, "inst": " 17/3 257/6 4127/9 23827/3 496999/3 71729629/18 104658718 2945771458 785847748280/9 16183383951883/6", "cleanlist": "True", "n_sing_real": "9", "sol_explicit": "", "n_sing_rational": "5", "n_sing": "9", "laurent": null, "discriminant_tex": "-(5z+1)(13z+1)(6z+1)(368z^2+56z-1)(4z+1)^2(8z^2-26z-3)^2", "discr_factors": "-146964480, (z^2-13/4*z-3/8)^2, z+1/5, z+1/13, z^2+7/46*z-1/368, (z+1/4)^2, z+1/6", "dm_basis": null, "q": "0 1 -9 -142 -143 -2414 -370278 -12215191 -354806113 -11395061876", "yuk": "1 17/3 1045/3 37160/3 1525973/3 62124892/3 2582304832/3 107693820839/3 4524706485461/3 190961002869200/3", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/4","im":"0","approx_re":"-0.25","approx_im":"0.0","exponents":["0","0","1","1"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/5","im":"0","approx_re":"-0.2","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-7/92-3/46*2^(1/2)","im":"0","approx_re":"-0.168318","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/6","im":"0","approx_re":"-0.166666666667","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"13/8-1/8*193^(1/2)","im":"0","approx_re":"-0.111555","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/13","im":"0","approx_re":"-0.0769230769231","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":"-7/92+3/46*2^(1/2)","im":"0","approx_re":"0.016144","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"13/8+1/8*193^(1/2)","im":"0","approx_re":"3.361555","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","3","4"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -48-256*X-592*X^2-672*X^3-432*X^4, 52736+192512*X+296448*X^2+220160*X^3+71168*X^4, -13418496-40648704*X-49020928*X^2-26836992*X^3-6045696*X^4, 1341652992+3445096448*X+3228565504*X^2+1504706560*X^3+349700096*X^4, -35399925760-72058142720*X-45164265472*X^2-51438944256*X^3-21189623808*X^4, -2660732239872-5377835925504*X-2573759152128*X^2+2966748659712*X^3+1267552223232*X^4, 168637595910144+225348344086528*X-50543175139328*X^2-167503724544000*X^3-53034256171008*X^4, -1070924325453824+2634979615965184*X+7853811557203968*X^2+3438172860055552*X^3+1774062011416576*X^4, -65917921108426752-133577468635250688*X-92869150128472064*X^2-25332747903959040*X^3-68715078689488896*X^4, 295548725546188800+408138716230451200*X+1908963292051668992*X^2+3494793310839504896*X^3+2193253018529431552*X^4, -32515989309614981120-131505109119218483200*X-200860543380724121600*X^2-138350580552821637120*X^3-36749372959343247360*X^4, 14411518807585587200*(2*X+3)^4]", "text": "This is operator \"12.12\" from ...", "degz": 12, "h3": null, "sol": "1 48 2704 179968 14147856 1298461440 135536093440 15582207209472 1918136670436624 247673397166101248", "n_discr_factors": "5", "c3": null, "operator": "4 12 0 0 0 0 1 -48 -256 -592 -672 -432 52736 192512 296448 220160 71168 -13418496 -40648704 -49020928 -26836992 -6045696 1341652992 3445096448 3228565504 1504706560 349700096 -35399925760 -72058142720 -45164265472 -51438944256 -21189623808 -2660732239872 -5377835925504 -2573759152128 2966748659712 1267552223232 168637595910144 225348344086528 -50543175139328 -167503724544000 -53034256171008 -1070924325453824 2634979615965184 7853811557203968 3438172860055552 1774062011416576 -65917921108426752 -133577468635250688 -92869150128472064 -25332747903959040 -68715078689488896 295548725546188800 408138716230451200 1908963292051668992 3494793310839504896 2193253018529431552 -32515989309614981120 -131505109119218483200 -200860543380724121600 -138350580552821637120 -36749372959343247360 1167333023414432563200 3112888062438486835200 3112888062438486835200 1383505805528216371200 230584300921369395200", "new_number": "12.12", "id": 349, "operator_tex": "\\theta^4-2^{4} x\\left(27\\theta^4+42\\theta^3+37\\theta^2+16\\theta+3\\right)+2^{9} x^{2}\\left(139\\theta^4+430\\theta^3+579\\theta^2+376\\theta+103\\right)-2^{14} x^{3}\\left(369\\theta^4+1638\\theta^3+2992\\theta^2+2481\\theta+819\\right)+2^{19} x^{4}\\left(667\\theta^4+2870\\theta^3+6158\\theta^2+6571\\theta+2559\\right)-2^{24} x^{5}\\left(1263\\theta^4+3066\\theta^3+2692\\theta^2+4295\\theta+2110\\right)+2^{29} 3 x^{6}\\left(787\\theta^4+1842\\theta^3-1598\\theta^2-3339\\theta-1652\\right)-2^{34} x^{7}\\left(3087\\theta^4+9750\\theta^3+2942\\theta^2-13117\\theta-9816\\right)+2^{39} x^{8}\\left(3227\\theta^4+6254\\theta^3+14286\\theta^2+4793\\theta-1948\\right)-2^{44} x^{9}\\left(3906\\theta^4+1440\\theta^3+5279\\theta^2+7593\\theta+3747\\right)+2^{49} x^{10}\\left(3896\\theta^4+6208\\theta^3+3391\\theta^2+725\\theta+525\\right)-2^{54} 5 x^{11}\\left(408\\theta^4+1536\\theta^3+2230\\theta^2+1460\\theta+361\\right)+2^{59} 5^{2} x^{12}\\left((2\\theta+3)^4\\right)", "superseek": "48 3184", "discriminant": "12 1 -432 71168 -6045696 349700096 -21189623808 1267552223232 -53034256171008 1774062011416576 -68715078689488896 2193253018529431552 -36749372959343247360 230584300921369395200", "aesz": null, "n_sing_complex": "2", "inst_int": "", "c2h": null, "hash": "2b1c995b5f2826ce90fc016ad86fd66f", "dim_h": null, "inst": " 48 46 3184 409910 -3351792 660929430 10619210928 859394914110 70266573485696 2358254619793562", "cleanlist": "True", "n_sing_real": "7", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "9", "laurent": null, "discriminant_tex": "(16z-1)(32z-1)(4096z^2-192z+1)(64z-1)^2(163840z^3+1024z^2+32z-1)^2", "discr_factors": "230584300921369395200, z-1/16, z-1/32, (z-1/64)^2, z^2-3/64*z+1/4096, (z^3+1/160*z^2+1/5120*z-1/163840)^2", "dm_basis": null, "q": "0 1 -64 3104 -146432 5759792 -207339520 4827303424 -50713985024 -7931377213800", "yuk": "1 48 416 86016 26234656 -418973952 142760843264 3642389348352 440010222258976 51224332071158400", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/960*(359+45*65^(1/2))^(1/3)+7/480/(359+45*65^(1/2))^(1/3)-1/480","im":"-1/64*3^(1/2)*(1/15*(359+45*65^(1/2))^(1/3)+14/15/(359+45*65^(1/2))^(1/3))","approx_re":"-0.009802","approx_im":"-0.019","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/960*(359+45*65^(1/2))^(1/3)+7/480/(359+45*65^(1/2))^(1/3)-1/480","im":"1/64*3^(1/2)*(1/15*(359+45*65^(1/2))^(1/3)+14/15/(359+45*65^(1/2))^(1/3))","approx_re":"-0.009802","approx_im":"0.019","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":"3/128-1/128*5^(1/2)","im":"0","approx_re":"0.005968","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/480*(359+45*65^(1/2))^(1/3)-7/240/(359+45*65^(1/2))^(1/3)-1/480","im":"0","approx_re":"0.013353","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"1/64","im":"0","approx_re":"0.015625","approx_im":"0.0","exponents":["0","0","1","1"],"monodromy":[],"monodromy_dm":[]},{"re":"1/32","im":"0","approx_re":"0.03125","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"3/128+1/128*5^(1/2)","im":"0","approx_re":"0.040907","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":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["3/2","3/2","3/2","3/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[25*X^4, -700-3700*X-8260*X^2-9120*X^3-4080*X^4, 373680+1288960*X+1795264*X^2+1098752*X^3+249344*X^4, -39217920-104970240*X-105533440*X^2-45047808*X^3-7999488*X^4, 1195077632+2583101440*X+1946910720*X^2+859045888*X^3+211484672*X^4, 1676279808+4603248640*X-1555038208*X^2-18396217344*X^3-6473908224*X^4, -497591255040-657129996288*X+148478361600*X^2+579820584960*X^3+158444027904*X^4, 4787412140032-292057776128*X-12767864029184*X^2-9689446219776*X^3-2712271847424*X^4, 17072495001600+105484396789760*X+154447023964160*X^2+77790447665152*X^3+45835890982912*X^4, -372322124955648-923589767331840*X-1324911511470080*X^2-1266637395197952*X^3-811439581298688*X^4, 6627856092233728+23573529299517440*X+36626931344474112*X^2+28428972647776256*X^3+9781255440695296*X^4, -128774801845125120-396316767208603648*X-478507460408115200*X^2-270215977642229760*X^3-60798594969501696*X^4, 9007199254740992*(2*X+3)^4]", "text": "This is operator \"12.13\" from ...", "degz": 12, "h3": null, "sol": "1 28 876 30512 1161964 47586960 2068054000 94374591168 4484815106796 220444629695312", "n_discr_factors": "5", "c3": null, "operator": "4 12 0 0 0 0 25 -700 -3700 -8260 -9120 -4080 373680 1288960 1795264 1098752 249344 -39217920 -104970240 -105533440 -45047808 -7999488 1195077632 2583101440 1946910720 859045888 211484672 1676279808 4603248640 -1555038208 -18396217344 -6473908224 -497591255040 -657129996288 148478361600 579820584960 158444027904 4787412140032 -292057776128 -12767864029184 -9689446219776 -2712271847424 17072495001600 105484396789760 154447023964160 77790447665152 45835890982912 -372322124955648 -923589767331840 -1324911511470080 -1266637395197952 -811439581298688 6627856092233728 23573529299517440 36626931344474112 28428972647776256 9781255440695296 -128774801845125120 -396316767208603648 -478507460408115200 -270215977642229760 -60798594969501696 729583139634020352 1945555039024054272 1945555039024054272 864691128455135232 144115188075855872", "new_number": "12.13", "id": 350, "operator_tex": "5^{2} \\theta^4-2^{2} 5 x\\left(204\\theta^4+456\\theta^3+413\\theta^2+185\\theta+35\\right)+2^{4} x^{2}\\left(15584\\theta^4+68672\\theta^3+112204\\theta^2+80560\\theta+23355\\right)-2^{8} x^{3}\\left(31248\\theta^4+175968\\theta^3+412240\\theta^2+410040\\theta+153195\\right)+2^{12} x^{4}\\left(51632\\theta^4+209728\\theta^3+475320\\theta^2+630640\\theta+291767\\right)-2^{17} x^{5}\\left(49392\\theta^4+140352\\theta^3+11864\\theta^2-35120\\theta-12789\\right)+2^{22} 3 x^{6}\\left(12592\\theta^4+46080\\theta^3+11800\\theta^2-52224\\theta-39545\\right)-2^{27} x^{7}\\left(20208\\theta^4+72192\\theta^3+95128\\theta^2+2176\\theta-35669\\right)+2^{32} x^{8}\\left(10672\\theta^4+18112\\theta^3+35960\\theta^2+24560\\theta+3975\\right)-2^{37} x^{9}\\left(5904\\theta^4+9216\\theta^3+9640\\theta^2+6720\\theta+2709\\right)+2^{42} x^{10}\\left(2224\\theta^4+6464\\theta^3+8328\\theta^2+5360\\theta+1507\\right)-2^{47} x^{11}\\left(432\\theta^4+1920\\theta^3+3400\\theta^2+2816\\theta+915\\right)+2^{53} x^{12}\\left((2\\theta+3)^4\\right)", "superseek": "92/5 -76/5", "discriminant": "12 25 -4080 249344 -7999488 211484672 -6473908224 158444027904 -2712271847424 45835890982912 -811439581298688 9781255440695296 -60798594969501696 144115188075855872", "aesz": null, "n_sing_complex": "2", "inst_int": "", "c2h": null, "hash": "dba247c75acfa39c7b95fa5054ec0315", "dim_h": null, "inst": " 92/5 -342/5 -76/5 75394/5 -2156752/5 46898574/5 -778024236/5 7887187698/5 16606513848 -7483257686776/5", "cleanlist": "True", "n_sing_real": "7", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "9", "laurent": null, "discriminant_tex": "(64z-1)(32z-1)(256z^2-48z+1)(16z-1)^2(32768z^3-1024z^2-32z-5)^2", "discr_factors": "144115188075855872, z-1/64, z-1/32, z^2-3/16*z+1/256, (z-1/16)^2, (z^3-1/32*z^2-1/1024*z-5/32768)^2", "dm_basis": null, "q": "0 1 -36 1126 -32528 864129 -20968728 453446770 -8252382784 104345470868", "yuk": "1 92/5 -2644/5 -392 4822572/5 -269593908/5 10130087288/5 -266862312856/5 4038244923948/5 12106148594800", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/192*(73+9*65^(1/2))^(1/3)-1/48/(73+9*65^(1/2))^(1/3)+1/96","im":"-1/64*3^(1/2)*(1/3*(73+9*65^(1/2))^(1/3)-4/3/(73+9*65^(1/2))^(1/3))","approx_re":"-0.020941","approx_im":"-0.040594","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/192*(73+9*65^(1/2))^(1/3)-1/48/(73+9*65^(1/2))^(1/3)+1/96","im":"1/64*3^(1/2)*(1/3*(73+9*65^(1/2))^(1/3)-4/3/(73+9*65^(1/2))^(1/3))","approx_re":"-0.020941","approx_im":"0.040594","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":"1/64","im":"0","approx_re":"0.015625","approx_im":"0.0","exponents":["0","1","1","2"],"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":"1/32","im":"0","approx_re":"0.03125","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","1","1"],"monodromy":[],"monodromy_dm":[]},{"re":"1/96*(73+9*65^(1/2))^(1/3)+1/24/(73+9*65^(1/2))^(1/3)+1/96","im":"0","approx_re":"0.073133","approx_im":"0.0","exponents":["0","1","3","4"],"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":["3/2","3/2","3/2","3/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, 32*X*(4*X^3-10*X^2-6*X-1), -23552*X^4-63488*X^3-51200*X^2-58368*X-22784, -1376256*X^4-5505024*X^3-10878976*X^2-2162688*X+835584, 247463936*X^4+343932928*X^3+2340421632*X^2+1935671296*X+672923648, -11811160064*X^4+97710505984*X^3+233337520128*X^2+255953207296*X+116836532224, -927712935936*X^4-5153960755200*X^3-2473901162496*X^2-5643587026944*X-2993592205312, 125344325566464*X^4+171523813933056*X^3-847998342922240*X^2-1536567499816960*X-849097854550016, -1548112371908608*X^4+31806672368304128*X^3+21145807625388032*X^2+2533274790395904*X-9033587533807616, -234187180623265792*X^4-2053641430080946176*X^3-2905947659560812544*X^2-1614540466412322816*X-82190693199511552, 17582052945254416384*X^4-6341068275337658368*X^3-103474705038464516096*X^2-144835764016235151360*X-59087227111100907520, -92233720368547758080*X^4+737869762948382064640*X^3+3343472363359856230400*X^2+4381101717506018508800*X+1890791267555229040640, -1844674407370955161600*(2*X+3)^4]", "text": "This is operator \"12.2\" from ...", "degz": 12, "h3": null, "sol": "1 0 1424 13312 4213008 100583424 16977541376 697797427200 85437487152400 4947452599603200", "n_discr_factors": "4", "c3": null, "operator": "4 12 0 0 0 0 1 0 -32 -192 -320 128 -22784 -58368 -51200 -63488 -23552 835584 -2162688 -10878976 -5505024 -1376256 672923648 1935671296 2340421632 343932928 247463936 116836532224 255953207296 233337520128 97710505984 -11811160064 -2993592205312 -5643587026944 -2473901162496 -5153960755200 -927712935936 -849097854550016 -1536567499816960 -847998342922240 171523813933056 125344325566464 -9033587533807616 2533274790395904 21145807625388032 31806672368304128 -1548112371908608 -82190693199511552 -1614540466412322816 -2905947659560812544 -2053641430080946176 -234187180623265792 -59087227111100907520 -144835764016235151360 -103474705038464516096 -6341068275337658368 17582052945254416384 1890791267555229040640 4381101717506018508800 3343472363359856230400 737869762948382064640 -92233720368547758080 -149418626997047368089600 -398449671992126314905600 -398449671992126314905600 -177088743107611695513600 -29514790517935282585600", "new_number": "12.2", "id": 356, "operator_tex": "\\theta^4+2^{5} x\\theta(4\\theta^3-10\\theta^2-6\\theta-1)-2^{8} x^{2}\\left(92\\theta^4+248\\theta^3+200\\theta^2+228\\theta+89\\right)-2^{14} x^{3}\\left(84\\theta^4+336\\theta^3+664\\theta^2+132\\theta-51\\right)+2^{18} x^{4}\\left(944\\theta^4+1312\\theta^3+8928\\theta^2+7384\\theta+2567\\right)-2^{26} x^{5}\\left(176\\theta^4-1456\\theta^3-3477\\theta^2-3814\\theta-1741\\right)-2^{32} x^{6}\\left(216\\theta^4+1200\\theta^3+576\\theta^2+1314\\theta+697\\right)+2^{38} x^{7}\\left(456\\theta^4+624\\theta^3-3085\\theta^2-5590\\theta-3089\\right)-2^{43} x^{8}\\left(176\\theta^4-3616\\theta^3-2404\\theta^2-288\\theta+1027\\right)-2^{50} x^{9}\\left(208\\theta^4+1824\\theta^3+2581\\theta^2+1434\\theta+73\\right)+2^{57} x^{10}\\left(122\\theta^4-44\\theta^3-718\\theta^2-1005\\theta-410\\right)-2^{62} 5 x^{11}\\left(4\\theta^4-32\\theta^3-145\\theta^2-190\\theta-82\\right)-2^{66} 5^{2} x^{12}\\left((2\\theta+3)^4\\right)", "superseek": "64 39744", "discriminant": "12 1 128 -23552 -1376256 247463936 -11811160064 -927712935936 125344325566464 -1548112371908608 -234187180623265792 17582052945254416384 -92233720368547758080 -29514790517935282585600", "aesz": null, "n_sing_complex": "2", "inst_int": "", "c2h": null, "hash": "b92032007ecbbf3af5801c4b1e4cf97a", "dim_h": null, "inst": " 64 -692 39744 -2001358 95440576 -5132789668 318422804032 -20259691862710 1306803344834048 -87030663571111804", "cleanlist": "True", "n_sing_real": "6", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "8", "laurent": null, "discriminant_tex": "-(-1+64z+4096z^2)(64z-1)^2(64z+1)^2(655360z^3-4096z^2+96z+1)^2", "discr_factors": "-29514790517935282585600, (z+1/64)^2, (z-1/64)^2, -1/4096+1/64*z+z^2, (z^3-1/160*z^2+3/20480*z+1/655360)^2", "dm_basis": null, "q": "0 1 -32 -96 34816 -330448 -52472832 1797613056 -2692546560 1991246120600", "yuk": "1 64 -5472 1073152 -128092384 11930072064 -1108681500672 109219021783040 -10372962361799904 952659638385094144", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/128-1/128*5^(1/2)","im":"0","approx_re":"-0.025282","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","0","1","1"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/960*(802+15*3165^(1/2))^(1/3)+41/960/(802+15*3165^(1/2))^(1/3)+1/480","im":"0","approx_re":"-0.006598","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":"1/1920*(802+15*3165^(1/2))^(1/3)-41/1920/(802+15*3165^(1/2))^(1/3)+1/480","im":"1/64*3^(1/2)*(-1/30*(802+15*3165^(1/2))^(1/3)-41/30/(802+15*3165^(1/2))^(1/3))","approx_re":"0.006424","approx_im":"-0.013784","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"1/1920*(802+15*3165^(1/2))^(1/3)-41/1920/(802+15*3165^(1/2))^(1/3)+1/480","im":"-1/64*3^(1/2)*(-1/30*(802+15*3165^(1/2))^(1/3)-41/30/(802+15*3165^(1/2))^(1/3))","approx_re":"0.006424","approx_im":"0.013784","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/128+1/128*5^(1/2)","im":"0","approx_re":"0.009657","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","1/2","1"],"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": "[25*X^4, 80*X^4+1120*X^3+1060*X^2+500*X+100, -15616*X^4-99328*X^3-144256*X^2-101760*X-31760, 212992*X^4-589824*X^3-2886656*X^2-3271680*X-1406720, 1441792*X^4+38273024*X^3+133070848*X^2+162693120*X+74915840, -119537664*X^4-553648128*X^3-68943872*X^2+451149824*X+378208256, 905969664*X^4+402653184*X^3-8002732032*X^2-20006830080*X-12308185088, 11811160064*X^4+168577466368*X^3+365810417664*X^2+374937223168*X+131650813952, -253403070464*X^4-1168231104512*X^3-4232690270208*X^2-6251324899328*X-3202434990080, 1443109011456*X^4+2886218022912*X^3+4913442586624*X^2+12472585027584*X+9212704849920, 25288767438848*X^4+83562883710976*X^3+89610197663744*X^2-16492674416640*X-47897475284992, -17592186044416*(2*X+3)*(4*X^3+28*X^2+51*X+28), -70368744177664*(2*X+3)^4]", "text": "This is operator \"12.3\" from ...", "degz": 12, "h3": null, "sol": "1 -4 108 -912 21484 -254064 5580272 -82631232 1766989548 -30747656496", "n_discr_factors": "4", "c3": null, "operator": "4 12 0 0 0 0 25 100 500 1060 1120 80 -31760 -101760 -144256 -99328 -15616 -1406720 -3271680 -2886656 -589824 212992 74915840 162693120 133070848 38273024 1441792 378208256 451149824 -68943872 -553648128 -119537664 -12308185088 -20006830080 -8002732032 402653184 905969664 131650813952 374937223168 365810417664 168577466368 11811160064 -3202434990080 -6251324899328 -4232690270208 -1168231104512 -253403070464 9212704849920 12472585027584 4913442586624 2886218022912 1443109011456 -47897475284992 -16492674416640 89610197663744 83562883710976 25288767438848 -1477743627730944 -3676766883282944 -3272146604261376 -1196268651020288 -140737488355328 -5699868278390784 -15199648742375424 -15199648742375424 -6755399441055744 -1125899906842624", "new_number": "12.3", "id": 357, "operator_tex": "5^{2} \\theta^4+2^{2} 5 x\\left(4\\theta^4+56\\theta^3+53\\theta^2+25\\theta+5\\right)-2^{4} x^{2}\\left(976\\theta^4+6208\\theta^3+9016\\theta^2+6360\\theta+1985\\right)+2^{8} x^{3}\\left(832\\theta^4-2304\\theta^3-11276\\theta^2-12780\\theta-5495\\right)+2^{13} x^{4}\\left(176\\theta^4+4672\\theta^3+16244\\theta^2+19860\\theta+9145\\right)-2^{16} x^{5}\\left(1824\\theta^4+8448\\theta^3+1052\\theta^2-6884\\theta-5771\\right)+2^{21} x^{6}\\left(432\\theta^4+192\\theta^3-3816\\theta^2-9540\\theta-5869\\right)+2^{24} x^{7}\\left(704\\theta^4+10048\\theta^3+21804\\theta^2+22348\\theta+7847\\right)-2^{29} x^{8}\\left(472\\theta^4+2176\\theta^3+7884\\theta^2+11644\\theta+5965\\right)+2^{32} x^{9}\\left(336\\theta^4+672\\theta^3+1144\\theta^2+2904\\theta+2145\\right)+2^{36} x^{10}\\left(368\\theta^4+1216\\theta^3+1304\\theta^2-240\\theta-697\\right)-2^{44} x^{11}(2\\theta+3)(4\\theta^3+28\\theta^2+51\\theta+28)-2^{46} x^{12}\\left((2\\theta+3)^4\\right)", "superseek": "-12/5 444/5", "discriminant": "12 25 80 -15616 212992 1441792 -119537664 905969664 11811160064 -253403070464 1443109011456 25288767438848 -140737488355328 -1125899906842624", "aesz": null, "n_sing_complex": "2", "inst_int": "", "c2h": null, "hash": "45726409a4c817f929c9e6e49b33a941", "dim_h": null, "inst": " -12/5 103/5 444/5 1148/5 -6704 -282147/5 -102292 6992044 315076744/5 41866252/5", "cleanlist": "True", "n_sing_real": "6", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "8", "laurent": null, "discriminant_tex": "-(-1-16z+256z^2)(16z+1)^2(16z-1)^2(8192z^3+768z^2-32z+5)^2", "discr_factors": "-1125899906842624, -1/256-1/16*z+z^2, (z-1/16)^2, (z+1/16)^2, (z^3+3/32*z^2-1/256*z+5/8192)^2", "dm_basis": null, "q": "0 1 4 -90 -1008 4865 179032 687410 -19539392 -279357676", "yuk": "1 -12/5 812/5 11976/5 74284/5 -4190012/5 -60930952/5 -175430792/5 17899706924/5 229690958352/5", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/96*(351+6*3165^(1/2))^(1/3)-7/32/(351+6*3165^(1/2))^(1/3)-1/32","im":"0","approx_re":"-0.148005","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","1","1"],"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":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"1/192*(351+6*3165^(1/2))^(1/3)+7/64/(351+6*3165^(1/2))^(1/3)-1/32","im":"1/32*3^(1/2)*(-1/6*(351+6*3165^(1/2))^(1/3)+7/2/(351+6*3165^(1/2))^(1/3))","approx_re":"0.027128","approx_im":"-0.058206","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"1/192*(351+6*3165^(1/2))^(1/3)+7/64/(351+6*3165^(1/2))^(1/3)-1/32","im":"-1/32*3^(1/2)*(-1/6*(351+6*3165^(1/2))^(1/3)+7/2/(351+6*3165^(1/2))^(1/3))","approx_re":"0.027128","approx_im":"0.058206","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":"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":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["3/2","3/2","3/2","3/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[729*X^4, -14094*X-90396*X^3-45198*X^4-59292*X^2-486, -7956792*X-11699964*X^2-1930392*X^4-2105028-7721568*X^3, -353999781*X^2-333452052*X-116535348-161899398*X^3-26983233*X^4, -4081333212*X^2-4776300144*X-1971384624-180453636*X^4-1443629088*X^3, -413820*(X+4)*(X+1)*(1431*X^2+7155*X+7978), -768785600*(X+5)*(X+4)*(X+2)*(X+1)]", "text": "This is operator \"6.28\" from ...", "degz": 6, "h3": null, "sol": "1 2/3 1732/9 213524/27 37218544/81 7006664192/243 1415868331204/729 300311231577464/2187 66068988584260288/6561 14953791257213925248/19683", "n_discr_factors": "4", "c3": null, "operator": "4 6 0 0 0 0 729 -486 -14094 -59292 -90396 -45198 -2105028 -7956792 -11699964 -7721568 -1930392 -116535348 -333452052 -353999781 -161899398 -26983233 -1971384624 -4776300144 -4081333212 -1443629088 -180453636 -13205823840 -28350808200 -20474572140 -5921764200 -592176420 -30751424000 -59965276800 -37670494400 -9225427200 -768785600", "new_number": "6.28", "id": 412, "operator_tex": "3^{6} \\theta^4-2 3^{5} x\\left(93\\theta^4+186\\theta^3+122\\theta^2+29\\theta+1\\right)-2^{2} 3^{4} x^{2}\\left(5958\\theta^4+23832\\theta^3+36111\\theta^2+24558\\theta+6497\\right)-3^{3} x^{3}\\left(999379\\theta^4+5996274\\theta^3+13111103\\theta^2+12350076\\theta+4316124\\right)-2^{2} 3^{2} 11 x^{4}\\left(455691\\theta^4+3645528\\theta^3+10306397\\theta^2+12061364\\theta+4978244\\right)-2^{2} 3^{2} 5 11^{2} 19 x^{5}(\\theta+4)(\\theta+1)(1431\\theta^2+7155\\theta+7978)-2^{6} 5^{2} 11^{3} 19^{2} x^{6}(\\theta+5)(\\theta+4)(\\theta+2)(\\theta+1)", "superseek": "32/3 14279/9", "discriminant": "6 729 -45198 -1930392 -26983233 -180453636 -592176420 -768785600", "aesz": null, "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "62617eacb39580484b6f6cca4374260e", "dim_h": null, "inst": " 32/3 284/3 14279/9 118940/3 1226784 43278032 5024602976/3 208173247336/3 27259746376370/9 413303388978772/3", "cleanlist": "True", "n_sing_real": "6", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "6", "laurent": null, "discriminant_tex": "-(16z+3)(19z+3)(5225z^2+795z-9)(3+22z)^2", "discr_factors": "-768785600, (3/22+z)^2, z+3/19, z^2+159/1045*z-9/5225, z+3/16", "dm_basis": null, "q": "0 1 -50/3 -1820/9 14212/27 -2695424/81 -653711312/243 -79557433478/729 -10510820013704/2187 -1526332488750920/6561", "yuk": "1 32/3 768 128543/3 7614464/3 460044032/3 9348098517 1723438820800/3 106584710250496/3 6624118369586453/3", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-3/16","im":"0","approx_re":"-0.1875","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-159/2090-81/2090*5^(1/2)","im":"0","approx_re":"-0.162738","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-3/19","im":"0","approx_re":"-0.157894736842","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","0","1","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":"-159/2090+81/2090*5^(1/2)","im":"0","approx_re":"0.010584","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": "[4826809*X^4, -269930011*X-513126926*X^4-783056937*X^2-1026253852*X^3-35644128, -12505548094*X-2991564823*X^4-18219033339*X^2-3339580608-11966259292*X^3, -85687033692*X^2-80033273892*X-27654517800-6556586192*X^4-39339517152*X^3, -73082257248-6822181184*X^4-178715601792*X-153833799392*X^2-54577449472*X^3, -4892160*(X+4)*(X+1)*(688*X^2+3440*X+3823), -632217600*(X+5)*(X+4)*(X+2)*(X+1)]", "text": "This is operator \"6.41\" from ...", "degz": 6, "h3": null, "sol": "1 96/13 49776/169 35502696/2197 30531314880/28561 29286081308736/371293 30182545572405576/4826809 32725334427012691056/62748517 36847180059107104722816/815730721 42716293180826204294438400/10604499373", "n_discr_factors": "3", "c3": null, "operator": "4 6 0 0 0 0 4826809 -35644128 -269930011 -783056937 -1026253852 -513126926 -3339580608 -12505548094 -18219033339 -11966259292 -2991564823 -27654517800 -80033273892 -85687033692 -39339517152 -6556586192 -73082257248 -178715601792 -153833799392 -54577449472 -6822181184 -74810910720 -160829760000 -116311104000 -33658060800 -3365806080 -25288704000 -49312972800 -30978662400 -7586611200 -632217600", "new_number": "6.41", "id": 413, "operator_tex": "13^{6} \\theta^4-13^{5} x\\left(1382\\theta^4+2764\\theta^3+2109\\theta^2+727\\theta+96\\right)-13^{4} x^{2}\\left(104743\\theta^4+418972\\theta^3+637899\\theta^2+437854\\theta+116928\\right)-2^{2} 13^{3} x^{3}\\left(746084\\theta^4+4476504\\theta^3+9750459\\theta^2+9107109\\theta+3146850\\right)-2^{5} 7 13^{2} x^{4}\\left(180214\\theta^4+1441712\\theta^3+4063657\\theta^2+4720932\\theta+1930533\\right)-2^{9} 3 5 7^{2} 13 x^{5}(\\theta+4)(\\theta+1)(688\\theta^2+3440\\theta+3823)-2^{13} 3^{2} 5^{2} 7^{3} x^{6}(\\theta+5)(\\theta+4)(\\theta+2)(\\theta+1)", "superseek": "161/13 26946/13", "discriminant": "6 4826809 -513126926 -2991564823 -6556586192 -6822181184 -3365806080 -632217600", "aesz": null, "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "a18253e410f284ecdac465808ec8a6e1", "dim_h": null, "inst": " 161/13 1406/13 26946/13 742982/13 25168759/13 973987380/13 41351330207/13 144558468058 89974410402897/13 4488834942620690/13", "cleanlist": "True", "n_sing_real": "5", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "5", "laurent": null, "discriminant_tex": "-(-169+18720z+22400z^2)(8z+13)^2(21z+13)^2", "discr_factors": "-632217600, (z+13/21)^2, -169/22400+117/140*z+z^2, (z+13/8)^2", "dm_basis": null, "q": "0 1 -343/13 17263/169 -2993791/2197 -2351424308/28561 -1164242338225/371293 -737964249150038/4826809 -488157663917379919/62748517 -335432257074176958656/815730721", "yuk": "1 161/13 11409/13 727703/13 47562257/13 3146095036/13 210382013031/13 14183506261162/13 962181210956305/13 65591345184439616/13", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-13/8","im":"0","approx_re":"-1.625","approx_im":"0.0","exponents":["0","0","1","1"],"monodromy":[],"monodromy_dm":[]},{"re":"-117/280-169/560*2^(1/2)","im":"0","approx_re":"-0.844647","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-13/21","im":"0","approx_re":"-0.619047619048","approx_im":"0.0","exponents":["0","0","1","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":"-117/280+169/560*2^(1/2)","im":"0","approx_re":"0.008932","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, -4928*X-1360-6464*X^2-3072*X^3-1536*X^4, -262144*X-651264+1703936*X^2+1835008*X^3+458752*X^4, 3251634176+3615490048*X^2+5410652160*X+1207959552*X^3+201326592*X^4, -1545382920192-2714419331072*X-1846835937280*X^2-584115552256*X^3-73014444032*X^4, -259759622062080*X^2-474164389478400*X-335625924378624-65970697666560*X^3-6597069766656*X^4, 2533274790395904*(X+3)^4]", "text": "This is operator \"6.33\" from ...", "degz": 6, "h3": null, "sol": "1 1360 1516304 1522167040 1444349938960 1320519296632064 1176435721504129280 1028122237568411488256 885307276490857727434000 753420342756902018230969600", "n_discr_factors": "3", "c3": null, "operator": "4 6 0 0 0 0 1 -1360 -4928 -6464 -3072 -1536 -651264 -262144 1703936 1835008 458752 3251634176 5410652160 3615490048 1207959552 201326592 -1545382920192 -2714419331072 -1846835937280 -584115552256 -73014444032 -335625924378624 -474164389478400 -259759622062080 -65970697666560 -6597069766656 205195258022068224 273593677362757632 136796838681378816 30399297484750848 2533274790395904", "new_number": "6.33", "id": 418, "operator_tex": "\\theta^4-2^{4} x\\left(96\\theta^4+192\\theta^3+404\\theta^2+308\\theta+85\\right)+2^{12} x^{2}\\left(112\\theta^4+448\\theta^3+416\\theta^2-64\\theta-159\\right)+2^{20} x^{3}\\left(192\\theta^4+1152\\theta^3+3448\\theta^2+5160\\theta+3101\\right)-2^{28} x^{4}\\left(272\\theta^4+2176\\theta^3+6880\\theta^2+10112\\theta+5757\\right)-2^{38} 3 x^{5}\\left(8\\theta^4+80\\theta^3+315\\theta^2+575\\theta+407\\right)+2^{48} 3^{2} x^{6}\\left((\\theta+3)^4\\right)", "superseek": "352 26115552", "discriminant": "6 1 -1536 458752 201326592 -73014444032 -6597069766656 2533274790395904", "aesz": null, "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "0677bb20f37d2fa88bafbc665d5157c1", "dim_h": null, "inst": " 352 60664 26115552 16623590600 13165993300256 11986704764296088 12020218264693813856 12940227600404919292744 14708343012850857454009600 17451325510266418328472861992", "cleanlist": "True", "n_sing_real": "4", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "4", "laurent": null, "discriminant_tex": "(256z-1)^2(768z-1)^2(256z+1)^2", "discr_factors": "2533274790395904, (z-1/768)^2, (z-1/256)^2, (z+1/256)^2", "dm_basis": null, "q": "0 1 512 445280 480479232 578735581744 745583606296576 1005278122520203776 1400774260891946319872 2001101029745058591951512", "yuk": "1 352 485664 705120256 1063910284064 1645749162532352 2589128229793560576 4122934864789978152960 6625396531408382588168992 10722382056368275084678118656", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/256","im":"0","approx_re":"-0.00390625","approx_im":"0.0","exponents":["0","0","1","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":"1/768","im":"0","approx_re":"0.00130208333333","approx_im":"0.0","exponents":["0","1","-2","3"],"monodromy":[],"monodromy_dm":[]},{"re":"1/256","im":"0","approx_re":"0.00390625","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":["3","3","3","3"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[9*X^4, -324*X^2-60-192*X^3-96*X^4-228*X, -17408*X^3-9936-31744*X^2-4352*X^4-28672*X, 793856+882688*X^2+49152*X^4+1320960*X+294912*X^3, 10485760*X+9961472*X^2+458752*X^4+3670016*X^3+3084288, -478412800*X-62914560*X^3-252968960*X^2-6291456*X^4-353173504, 16777216*(X+3)^4]", "text": "This is operator \"6.34\" from ...", "degz": 6, "h3": null, "sol": "1 20/3 332/3 13360/27 966020/81 253744/9 1234573360/729 1826462528/2187 652178380780/2187 -4552695203120/19683", "n_discr_factors": "3", "c3": null, "operator": "4 6 0 0 0 0 9 -60 -228 -324 -192 -96 -9936 -28672 -31744 -17408 -4352 793856 1320960 882688 294912 49152 3084288 10485760 9961472 3670016 458752 -353173504 -478412800 -252968960 -62914560 -6291456 1358954496 1811939328 905969664 201326592 16777216", "new_number": "6.34", "id": 419, "operator_tex": "3^{2} \\theta^4-2^{2} 3 x\\left(8\\theta^4+16\\theta^3+27\\theta^2+19\\theta+5\\right)-2^{4} x^{2}\\left(272\\theta^4+1088\\theta^3+1984\\theta^2+1792\\theta+621\\right)+2^{8} x^{3}\\left(192\\theta^4+1152\\theta^3+3448\\theta^2+5160\\theta+3101\\right)+2^{12} x^{4}\\left(112\\theta^4+896\\theta^3+2432\\theta^2+2560\\theta+753\\right)-2^{16} x^{5}\\left(96\\theta^4+960\\theta^3+3860\\theta^2+7300\\theta+5389\\right)+2^{24} x^{6}\\left((\\theta+3)^4\\right)", "superseek": "4/3 -124/81", "discriminant": "6 9 -96 -4352 49152 458752 -6291456 16777216", "aesz": null, "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "1153f8807d42d96ede28f7a8d06c144b", "dim_h": null, "inst": " 4/3 -14/9 -124/81 -4498/243 37024/729 165074/243 80629772/19683 122791610/59049 -1576000/9 -7208283828944/4782969", "cleanlist": "True", "n_sing_real": "4", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "4", "laurent": null, "discriminant_tex": "(16z-1)^2(16z-3)^2(16z+1)^2", "discr_factors": "16777216, (z-3/16)^2, (z+1/16)^2, (z-1/16)^2", "dm_basis": null, "q": "0 1 4/3 -182/3 -24976/81 544783/243 96632/3 559420178/6561 -29268772288/19683 -18960126", "yuk": "1 4/3 -100/9 -40 -290572/243 4628972/729 146680 27656038040/19683 62798695324/59049 -127656040", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/16","im":"0","approx_re":"-0.0625","approx_im":"0.0","exponents":["0","0","1","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":"1/16","im":"0","approx_re":"0.0625","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"3/16","im":"0","approx_re":"0.1875","approx_im":"0.0","exponents":["0","1","-2","3"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["3","3","3","3"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[25*X^4, -10*X*(15+71*X+112*X^2+38*X^3), -24000-77440*X-98716*X^2-63488*X^3-17456*X^4, 118800+126720*X-74160*X^2-161280*X^3-66240*X^4, 8475840+20583936*X+17368704*X^2+6045696*X^3+707328*X^4, 41472*(X+1)*(38*X^3+74*X^2-304*X-495), -82944*(2*X+13)*(2*X+3)*(17*X+39)*(X+1), -2985984*(X+1)*(2*X+5)*(2*X+3)*(X+3)]", "text": "This is operator \"7.16\" from ...", "degz": 7, "h3": null, "sol": "1 0 60 480 16524 332640 9211920 241315200 6825804300 195543163200", "n_discr_factors": "4", "c3": null, "operator": "4 7 0 0 0 0 25 0 -150 -710 -1120 -380 -24000 -77440 -98716 -63488 -17456 118800 126720 -74160 -161280 -66240 8475840 20583936 17368704 6045696 707328 -20528640 -33136128 -9538560 4644864 1575936 -126157824 -284663808 -216566784 -63700992 -5640192 -134369280 -322486272 -271724544 -95551488 -11943936", "new_number": "7.16", "id": 438, "operator_tex": "5^{2} \\theta^4-2 5 x\\theta(15+71\\theta+112\\theta^2+38\\theta^3)-2^{2} x^{2}\\left(4364\\theta^4+15872\\theta^3+24679\\theta^2+19360\\theta+6000\\right)-2^{4} 3^{2} 5 x^{3}\\left(92\\theta^4+224\\theta^3+103\\theta^2-176\\theta-165\\right)+2^{6} 3^{2} x^{4}\\left(1228\\theta^4+10496\\theta^3+30154\\theta^2+35736\\theta+14715\\right)+2^{9} 3^{4} x^{5}(\\theta+1)(38\\theta^3+74\\theta^2-304\\theta-495)-2^{10} 3^{4} x^{6}(2\\theta+13)(2\\theta+3)(17\\theta+39)(\\theta+1)-2^{12} 3^{6} x^{7}(\\theta+1)(2\\theta+5)(2\\theta+3)(\\theta+3)", "superseek": "22/5 68", "discriminant": "7 25 -380 -17456 -66240 707328 1575936 -5640192 -11943936", "aesz": null, "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "660211ce6175f36772066594bfc33cbb", "dim_h": null, "inst": " 22/5 8 68 3292/5 38826/5 1517408/15 7418706/5 115188852/5 1132445042/3 32217796776/5", "cleanlist": "True", "n_sing_real": "5", "sol_explicit": "", "n_sing_rational": "5", "n_sing": "5", "laurent": null, "discriminant_tex": "-(-1+36z)(12z+5)^2(12z+1)^2(4z-1)^2", "discr_factors": "-11943936, (z+5/12)^2, (z-1/4)^2, (z+1/12)^2, -1/36+z", "dm_basis": null, "q": "0 1 -6 -55 444 -2012 -40662 -48142 -5216472 -98264672", "yuk": "1 22/5 342/5 9202/5 42206 4853272/5 109262898/5 508923236 58976903254/5 1375920735232/5", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-5/12","im":"0","approx_re":"-0.416666666667","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/12","im":"0","approx_re":"-0.0833333333333","approx_im":"0.0","exponents":["0","0","1","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":"1/36","im":"0","approx_re":"0.0277777777778","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","1/2","1/2","1"],"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, 2752*X^2+1216*X+176+3072*X^3-2304*X^4, -409600*X^2+2539520*X+589824-5242880*X^3+1638400*X^4, 203423744+377487360*X-1317011456*X^2+2617245696*X^3-150994944*X^4, 15032385536*X^2-92341796864*X-16106127360-274877906944*X^3-227633266688*X^4, -68444598829056*X^2-78340203479040*X-24532853194752-65970697666560*X^3+49478023249920*X^4, 10766417859182592+42432352739131392*X+62698551062298624*X^2+40532396646334464*X^3+7599824371187712*X^4, -1945555039024054272*(X+1)^4]", "text": "This is operator \"7.18\" from ...", "degz": 7, "h3": null, "sol": "1 -176 17168 -4715264 653856016 -191557409536 30340274422016 -9057045220569088 1542586229229919504 -463281504713458547456", "n_discr_factors": "3", "c3": null, "operator": "4 7 0 0 0 0 1 176 1216 2752 3072 -2304 589824 2539520 -409600 -5242880 1638400 203423744 377487360 -1317011456 2617245696 -150994944 -16106127360 -92341796864 15032385536 -274877906944 -227633266688 -24532853194752 -78340203479040 -68444598829056 -65970697666560 49478023249920 10766417859182592 42432352739131392 62698551062298624 40532396646334464 7599824371187712 -1945555039024054272 -7782220156096217088 -11673330234144325632 -7782220156096217088 -1945555039024054272", "new_number": "7.18", "id": 440, "operator_tex": "\\theta^4-2^{4} x\\left(144\\theta^4-192\\theta^3-172\\theta^2-76\\theta-11\\right)+2^{14} x^{2}\\left(100\\theta^4-320\\theta^3-25\\theta^2+155\\theta+36\\right)-2^{21} x^{3}\\left(72\\theta^4-1248\\theta^3+628\\theta^2-180\\theta-97\\right)-2^{30} x^{4}\\left(212\\theta^4+256\\theta^3-14\\theta^2+86\\theta+15\\right)+2^{36} 3 x^{5}\\left(240\\theta^4-320\\theta^3-332\\theta^2-380\\theta-119\\right)+2^{46} 3^{2} x^{6}\\left(12\\theta^4+64\\theta^3+99\\theta^2+67\\theta+17\\right)-2^{56} 3^{3} x^{7}\\left((\\theta+1)^4\\right)", "superseek": "352 26115552", "discriminant": "7 1 -2304 1638400 -150994944 -227633266688 49478023249920 7599824371187712 -1945555039024054272", "aesz": null, "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "df2c3b4e6a3366531b24bb05809eb1a4", "dim_h": null, "inst": " 352 60664 26115552 16623590600 13165993300256 11986704764296088 12020218264693813856 12940227600404919292744 14708343012850857454009600 17451325510266418328472861992", "cleanlist": "True", "n_sing_real": "4", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "4", "laurent": null, "discriminant_tex": "-(256z-1)^2(256z+1)^2(768z-1)^3", "discr_factors": "-1945555039024054272, (z-1/768)^3, (z-1/256)^2, (z+1/256)^2", "dm_basis": null, "q": "0 1 512 445280 480479232 578735581744 745583606296576 1005278122520203776 1400774260891946319872 2001101029745058591951512", "yuk": "1 352 485664 705120256 1063910284064 1645749162532352 2589128229793560576 4122934864789978152960 6625396531408382588168992 10722382056368275084678118656", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/256","im":"0","approx_re":"-0.00390625","approx_im":"0.0","exponents":["0","0","1","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":"1/768","im":"0","approx_re":"0.00130208333333","approx_im":"0.0","exponents":["0","2","3","5"],"monodromy":[],"monodromy_dm":[]},{"re":"1/256","im":"0","approx_re":"0.00390625","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","1","1","1"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[27*X^4, 108-432*X^4+468*X+756*X^2+576*X^3, -99264*X^2-11520*X^4-23472-78528*X-61440*X^3, 501760*X^2-132096-34816*X+606208*X^3+217088*X^4, 16637952+589824*X^4+44793856*X+39354368*X^2+12582912*X^3, -402391040*X^2-26214400*X^4-72351744-302776320*X-188743680*X^3, 1329594368*X^2+240123904+926941184*X+805306368*X^3+150994944*X^4, -268435456*(X+1)^4]", "text": "This is operator \"7.19\" from ...", "degz": 7, "h3": null, "sol": "1 -4 68 -496 9796 -84944 1732016 -16427072 337469764 -3388418704", "n_discr_factors": "3", "c3": null, "operator": "4 7 0 0 0 0 27 108 468 756 576 -432 -23472 -78528 -99264 -61440 -11520 -132096 -34816 501760 606208 217088 16637952 44793856 39354368 12582912 589824 -72351744 -302776320 -402391040 -188743680 -26214400 240123904 926941184 1329594368 805306368 150994944 -268435456 -1073741824 -1610612736 -1073741824 -268435456", "new_number": "7.19", "id": 441, "operator_tex": "3^{3} \\theta^4-2^{2} 3^{2} x\\left(12\\theta^4-16\\theta^3-21\\theta^2-13\\theta-3\\right)-2^{4} 3 x^{2}\\left(240\\theta^4+1280\\theta^3+2068\\theta^2+1636\\theta+489\\right)+2^{10} x^{3}\\left(212\\theta^4+592\\theta^3+490\\theta^2-34\\theta-129\\right)+2^{13} x^{4}\\left(72\\theta^4+1536\\theta^3+4804\\theta^2+5468\\theta+2031\\right)-2^{18} x^{5}\\left(100\\theta^4+720\\theta^3+1535\\theta^2+1155\\theta+276\\right)+2^{20} x^{6}\\left(144\\theta^4+768\\theta^3+1268\\theta^2+884\\theta+229\\right)-2^{28} x^{7}\\left((\\theta+1)^4\\right)", "superseek": "4/3 -124/81", "discriminant": "7 27 -432 -11520 217088 589824 -26214400 150994944 -268435456", "aesz": null, "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "f7f0f5d883101c38ed22cb74c80c8f5c", "dim_h": null, "inst": " 4/3 -14/9 -124/81 -4498/243 37024/729 165074/243 80629772/19683 122791610/59049 -1576000/9 -7208283828944/4782969", "cleanlist": "True", "n_sing_real": "4", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "4", "laurent": null, "discriminant_tex": "-(16z-1)^2(16z+1)^2(16z-3)^3", "discr_factors": "-268435456, (z+1/16)^2, (z-3/16)^3, (z-1/16)^2", "dm_basis": null, "q": "0 1 4/3 -182/3 -24976/81 544783/243 96632/3 559420178/6561 -29268772288/19683 -18960126", "yuk": "1 4/3 -100/9 -40 -290572/243 4628972/729 146680 27656038040/19683 62798695324/59049 -127656040", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/16","im":"0","approx_re":"-0.0625","approx_im":"0.0","exponents":["0","0","1","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":"1/16","im":"0","approx_re":"0.0625","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"3/16","im":"0","approx_re":"0.1875","approx_im":"0.0","exponents":["0","2","3","5"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1","1","1","1"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[9*X^4, -6*X*(85*X^3+176*X^2+112*X+24), -26324*X^4-103232*X^3-154688*X^2-104736*X-27648, -433513*X^4-2497158*X^3-5333997*X^2-4967532*X-1724868, -3502786*X^4-26357516*X^3-71606042*X^2-81967576*X-33397896, -4*(X+1)*(3719315*X^3+30248511*X^2+79801768*X+66666732), -216*(X+1)*(X+2)*(144041*X^2+1060683*X+1963346), -10368*(X+3)*(X+2)*(X+1)*(2449*X+10862), -6870528*(X+1)*(X+2)*(X+3)*(X+4)]", "text": "This is operator \"8.72\" from ...", "degz": 8, "h3": null, "sol": "1 0 192 7524 438912 27336960 1829887140 128517298560 9361299870720 701460996445440", "n_discr_factors": "5", "c3": null, "operator": "4 8 0 0 0 0 9 0 -144 -672 -1056 -510 -27648 -104736 -154688 -103232 -26324 -1724868 -4967532 -5333997 -2497158 -433513 -33397896 -81967576 -71606042 -26357516 -3502786 -266666928 -585874000 -440201116 -135871304 -14877260 -848165472 -1730463264 -1173631032 -322446096 -31112856 -675703296 -1391136768 -955006848 -264964608 -25391232 -164892672 -343526400 -240468480 -68705280 -6870528", "new_number": "8.72", "id": 521, "operator_tex": "3^{2} \\theta^4-2 3 x\\theta(85\\theta^3+176\\theta^2+112\\theta+24)-2^{2} x^{2}\\left(6581\\theta^4+25808\\theta^3+38672\\theta^2+26184\\theta+6912\\right)-x^{3}\\left(433513\\theta^4+2497158\\theta^3+5333997\\theta^2+4967532\\theta+1724868\\right)-2 x^{4}\\left(1751393\\theta^4+13178758\\theta^3+35803021\\theta^2+40983788\\theta+16698948\\right)-2^{2} x^{5}(\\theta+1)(3719315\\theta^3+30248511\\theta^2+79801768\\theta+66666732)-2^{3} 3^{3} x^{6}(\\theta+1)(\\theta+2)(144041\\theta^2+1060683\\theta+1963346)-2^{7} 3^{4} x^{7}(\\theta+3)(\\theta+2)(\\theta+1)(2449\\theta+10862)-2^{9} 3^{3} 7 71 x^{8}(\\theta+1)(\\theta+2)(\\theta+3)(\\theta+4)", "superseek": "32/3 14279/9", "discriminant": "8 9 -510 -26324 -433513 -3502786 -14877260 -31112856 -25391232 -6870528", "aesz": null, "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "d1b06e21c273cae807016268cd540d98", "dim_h": null, "inst": " 32/3 284/3 14279/9 118940/3 1226784 43278032 5024602976/3 208173247336/3 27259746376370/9 413303388978772/3", "cleanlist": "True", "n_sing_real": "7", "sol_explicit": "", "n_sing_rational": "5", "n_sing": "7", "laurent": null, "discriminant_tex": "-(7z+1)(6z+1)(639z^2+87z-1)(2z+3)^2(8z+1)^2", "discr_factors": "-6870528, (z+3/2)^2, z+1/7, z^2+29/213*z-1/639, (z+1/8)^2, z+1/6", "dm_basis": null, "q": "0 1 -16 -224 420 -28000 -2711104 -112202294 -4885891136 -235939607360", "yuk": "1 32/3 768 128543/3 7614464/3 460044032/3 9348098517 1723438820800/3 106584710250496/3 6624118369586453/3", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-3/2","im":"0","approx_re":"-1.5","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/6","im":"0","approx_re":"-0.166666666667","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-29/426-5/142*5^(1/2)","im":"0","approx_re":"-0.14681","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/7","im":"0","approx_re":"-0.142857142857","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","0","1","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":"-29/426+5/142*5^(1/2)","im":"0","approx_re":"0.01066","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": "[169*X^4, -13*X*(614*X^3+1804*X^2+1149*X+247), -775399*X^4-2692636*X^3-3693483*X^2-2450110*X-648960, -21633680*X^4-98465952*X^3-180653148*X^2-155183652*X-51353640, -312436544*X^4-1772359168*X^3-3939130976*X^2-3970125312*X-1491218016, -1536*(X+1)*(1717504*X^3+9940776*X^2+20063523*X+13933966), -73728*(X+1)*(X+2)*(178975*X^2+874119*X+1112486), -42467328*(X+3)*(X+2)*(X+1)*(857*X+2533), -42807066624*(X+1)*(X+2)*(X+3)*(X+4)]", "text": "This is operator \"8.73\" from ...", "degz": 8, "h3": null, "sol": "1 0 240 10440 679104 47119680 3514890120 275107961520 22333393031040 1865147940472320", "n_discr_factors": "4", "c3": null, "operator": "4 8 0 0 0 0 169 0 -3211 -14937 -23452 -7982 -648960 -2450110 -3693483 -2692636 -775399 -51353640 -155183652 -180653148 -98465952 -21633680 -1491218016 -3970125312 -3939130976 -1772359168 -312436544 -21402571776 -52220143104 -46086603264 -17907118080 -2638086144 -164042735616 -374958194688 -301753442304 -104033452032 -13195468800 -645418450944 -1401634160640 -1045757952000 -325936742400 -36394500096 -1027369598976 -2140353331200 -1498247331840 -428070666240 -42807066624", "new_number": "8.73", "id": 522, "operator_tex": "13^{2} \\theta^4-13 x\\theta(614\\theta^3+1804\\theta^2+1149\\theta+247)-x^{2}\\left(775399\\theta^4+2692636\\theta^3+3693483\\theta^2+2450110\\theta+648960\\right)-2^{2} x^{3}\\left(5408420\\theta^4+24616488\\theta^3+45163287\\theta^2+38795913\\theta+12838410\\right)-2^{5} x^{4}\\left(9763642\\theta^4+55386224\\theta^3+123097843\\theta^2+124066416\\theta+46600563\\right)-2^{9} 3 x^{5}(\\theta+1)(1717504\\theta^3+9940776\\theta^2+20063523\\theta+13933966)-2^{13} 3^{2} x^{6}(\\theta+1)(\\theta+2)(178975\\theta^2+874119\\theta+1112486)-2^{19} 3^{4} x^{7}(\\theta+3)(\\theta+2)(\\theta+1)(857\\theta+2533)-2^{23} 3^{6} 7 x^{8}(\\theta+1)(\\theta+2)(\\theta+3)(\\theta+4)", "superseek": "161/13 26946/13", "discriminant": "8 169 -7982 -775399 -21633680 -312436544 -2638086144 -13195468800 -36394500096 -42807066624", "aesz": null, "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "13db5d8c98a3d4f31589970217896191", "dim_h": null, "inst": " 161/13 1406/13 26946/13 742982/13 25168759/13 973987380/13 41351330207/13 144558468058 89974410402897/13 4488834942620690/13", "cleanlist": "True", "n_sing_real": "6", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "6", "laurent": null, "discriminant_tex": "-(-1+96z+896z^2)(9z+1)^2(96z+13)^2(8z+1)^2", "discr_factors": "-42807066624, -1/896+3/28*z+z^2, (z+1/8)^2, (z+1/9)^2, (z+13/96)^2", "dm_basis": null, "q": "0 1 -19 -233 1373 -51188 -4373701 -183436934 -8881866499 -475274333888", "yuk": "1 161/13 11409/13 727703/13 47562257/13 3146095036/13 210382013031/13 14183506261162/13 962181210956305/13 65591345184439616/13", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-13/96","im":"0","approx_re":"-0.135416666667","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","0","1","1"],"monodromy":[],"monodromy_dm":[]},{"re":"-3/56-5/112*2^(1/2)","im":"0","approx_re":"-0.116706","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","0","1","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":"-3/56+5/112*2^(1/2)","im":"0","approx_re":"0.009563","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": "[9*X^4, 7104*X^4+11904*X^3+10956*X^2+5004*X+936, 2301952*X^4+6307840*X^3+8641024*X^2+5549568*X+1359744, 441450496*X^4+1277165568*X^3+1851326464*X^2+1393754112*X+379748352, 61337501696*X^4+166161547264*X^3+171387650048*X^2+91477770240*X+18041798656, 6184752906240*X^4+17111149707264*X^3+17944373362688*X^2+5589899935744*X-132070244352, 439804651110400*X^4+1108307720798208*X^3+1459051930058752*X^2+829581523156992*X+173585398235136, 22517998136852480*X^4+58546795155816448*X^3+65583669573582848*X^2+35888059530608640*X+7881299347898368, 36028797018963968*(4*X+3)*(X+1)^2*(4*X+5)]", "text": "This is operator \"8.75\" from ...", "degz": 8, "h3": null, "sol": "1 -104 16488 -3037568 605558440 -126766739904 27432378844416 -6080200735260672 1372174011174250152 -314057497740075256640", "n_discr_factors": "4", "c3": null, "operator": "4 8 0 0 0 0 9 936 5004 10956 11904 7104 1359744 5549568 8641024 6307840 2301952 379748352 1393754112 1851326464 1277165568 441450496 18041798656 91477770240 171387650048 166161547264 61337501696 -132070244352 5589899935744 17944373362688 17111149707264 6184752906240 173585398235136 829581523156992 1459051930058752 1108307720798208 439804651110400 7881299347898368 35888059530608640 65583669573582848 58546795155816448 22517998136852480 540431955284459520 2233785415175766016 3422735716801576960 2305843009213693952 576460752303423488", "new_number": "8.75", "id": 524, "operator_tex": "3^{2} \\theta^4+2^{2} 3 x\\left(592\\theta^4+992\\theta^3+913\\theta^2+417\\theta+78\\right)+2^{7} x^{2}\\left(17984\\theta^4+49280\\theta^3+67508\\theta^2+43356\\theta+10623\\right)+2^{15} x^{3}\\left(13472\\theta^4+38976\\theta^3+56498\\theta^2+42534\\theta+11589\\right)+2^{21} x^{4}\\left(29248\\theta^4+79232\\theta^3+81724\\theta^2+43620\\theta+8603\\right)+2^{30} x^{5}\\left(5760\\theta^4+15936\\theta^3+16712\\theta^2+5206\\theta-123\\right)+2^{37} x^{6}\\left(3200\\theta^4+8064\\theta^3+10616\\theta^2+6036\\theta+1263\\right)+2^{47} x^{7}\\left(160\\theta^4+416\\theta^3+466\\theta^2+255\\theta+56\\right)+2^{55} x^{8}(4\\theta+3)(\\theta+1)^2(4\\theta+5)", "superseek": "-100/3 66364", "discriminant": "8 9 7104 2301952 441450496 61337501696 6184752906240 439804651110400 22517998136852480 576460752303423488", "aesz": null, "n_sing_complex": "2", "inst_int": "", "c2h": null, "hash": "76a0af78cc3434c7a78f3edc406baa61", "dim_h": null, "inst": " -100/3 538/3 66364 9836374/3 67135456/3 -32724671906/3 -966495408836 -25876882055654 9140866616260304/3 1274200874423817680/3", "cleanlist": "True", "n_sing_real": "4", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "6", "laurent": null, "discriminant_tex": "(64z+1)(128z+1)(256z+1)^2(32768z^2+128z+3)^2", "discr_factors": "576460752303423488, z+1/64, (z^2+1/256*z+3/32768)^2, (z+1/256)^2, z+1/128", "dm_basis": null, "q": "0 1 140 14814 1293680 92922669 5226525096 199702434578 2302853700800 -208306231537914", "yuk": "1 -100/3 4204/3 5375384/3 629532140/3 8391931900/3 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