{"count": 9, "status":"OK", "data":[{"pols": "[X^4, -16*(4*X+1)*(4*X+3)*(3*X^2+3*X+1), 512*(4*X+1)*(4*X+3)*(4*X+5)*(4*X+7)]", "text": "Hadamard product $C\\ast d$", "degz": 2, "h3": "16", "sol": "1 48 8400 2069760 609008400 200387835648 71201249543424 26742996453888000 10470608789459504400 4232794808237739744000", "n_discr_factors": "2", "c3": "-268", "operator": "4 2 0 0 0 0 1 -48 -400 -1168 -1536 -768 53760 360448 704512 524288 131072", "new_number": "2.15", "id": 6, "operator_tex": "\\theta^4-2^{4} x(4\\theta+1)(4\\theta+3)(3\\theta^2+3\\theta+1)+2^{9} x^{2}(4\\theta+1)(4\\theta+3)(4\\theta+5)(4\\theta+7)", "superseek": "48 73328", "discriminant": "2 1 -768 131072", "aesz": "38", "n_sing_complex": "0", "inst_int": "", "c2h": "88", "hash": "9ce26bb7405c3b98d8aeae5b1102c611", "dim_h": "10", "inst": " 48 998 73328 7388135 857248528 112063100078 16141925788848 2496124778774145 406647185987371136 68996526934808894722", "cleanlist": "True", "n_sing_real": "3", "sol_explicit": "A_{n}=\\dbinom{2n}{n}\\dbinom{4n}{2n}\\sum_{k=0}^{n}\\dbinom{n}{k}\\dbinom{2k}{k}\\dbinom{2n-2k}{n-k}", "n_sing_rational": "3", "n_sing": "3", "laurent": null, "discriminant_tex": "(512z-1)(256z-1)", "discr_factors": "131072, z-1/256, z-1/512", "dm_basis": ["-268*lambda", "19/3", "1", "1", "-11/3", "-8", "-1", "0", "0", "16", "0", "0", "-16", "0", "0", "0"], "q": "0 1 -208 32000 -4613120 605381040 -78889707008 9643425928192 -1213793065402368 140184861197932696", "yuk": "1 48 8032 1979904 472848672 107156066048 24205631604736 5536680545574912 1278015887205210912 296445798584795538048", "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","16","1","0","0","0","1","1"]},{"re":"1/512","im":"0","approx_re":"0.001953125","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":["1+268*lambda","0","I*arctan(173/564)",".105419378","11/3","1","121/144","-I*arctan(173/564)","0","0","1","0","16","0","11/3","1-268*lambda"],"monodromy_dm":["1","-10","-1","-1","0","1","0","0","0","0","1","0","0","0","0","1"]},{"re":"1/256","im":"0","approx_re":"0.00390625","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":["19/6+4*I*ln(2)^(6/5)*Zeta(5)^(2/9)","-13/24-134*lambda",".49652777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777778+.595253091*I",".64137367e-1-.351740463*I","22/3+3/1000000000*I","-5/6+1/500000000*I","121/72-1/500000000*I","-.49652777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777778-.595253091*I","8+3/1000000000*I","-2+1/500000000*I","17/6-1/500000000*I","-13/24-134*lambda","32+7/500000000*I","-8+7/1000000000*I","22/3-7/1000000000*I","-7/6-4*I*ln(2)^(6/5)*Zeta(5)^(2/9)"],"monodromy_dm":["-3","-24","-5/2","-2","1","7","5/8","1/2","-8","-48","-4","-4","6","36","15/4","4"]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1/4","3/4","5/4","7/4"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -48-384*X-1136*X^2-1504*X^3-1328*X^4, 61440+436224*X+1069056*X^2+1173504*X^3+620544*X^4, -6488064-60162048*X-196411392*X^2-254803968*X^3-119734272*X^4, 226492416*(3*X+1)*(2*X+1)^2*(3*X+2)]", "text": "Sporadic Operator.", "degz": 4, "h3": "16", "sol": "1 48 9360 2553600 813027600 283184149248 104664044669184 40361741131345920 16073129967819210000 6564949660340509152000", "n_discr_factors": "3", "c3": "-72", "operator": "4 4 0 0 0 0 1 -48 -384 -1136 -1504 -1328 61440 436224 1069056 1173504 620544 -6488064 -60162048 -196411392 -254803968 -119734272 452984832 3850371072 12004098048 16307453952 8153726976", "new_number": "4.45", "id": 143, "operator_tex": "\\theta^4-2^{4} x\\left(83\\theta^4+94\\theta^3+71\\theta^2+24\\theta+3\\right)+2^{11} 3 x^{2}\\left(101\\theta^4+191\\theta^3+174\\theta^2+71\\theta+10\\right)-2^{16} 3^{2} x^{3}\\left(203\\theta^4+432\\theta^3+333\\theta^2+102\\theta+11\\right)+2^{23} 3^{3} x^{4}(3\\theta+1)(2\\theta+1)^2(3\\theta+2)", "superseek": "80 104976", "discriminant": "4 1 -1328 620544 -119734272 8153726976", "aesz": "233", "n_sing_complex": "0", "inst_int": "", "c2h": "64", "hash": "03f67459f6d678669f766c99281b1e79", "dim_h": "8", "inst": " 80 2794 104976 5367454 508265072 71026691490 10979503341520 1741443998259494 281028365633566080 46168051267005890030", "cleanlist": "True", "n_sing_real": "4", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "4", "laurent": null, "discriminant_tex": "(512z-1)(432z-1)(-1+192z)^2", "discr_factors": "8153726976, z-1/432, z-1/512, (-1/192+z)^2", "dm_basis": null, "q": "0 1 -192 20256 -1451008 76300080 -3901906944 74979753472 -15535962980352 -1686551922782568", "yuk": "1 80 22432 2834432 343539488 63533134080 15341768218624 3765969646141440 891619327452400416 204869678546872506752", "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":"1/512","im":"0","approx_re":"0.001953125","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/432","im":"0","approx_re":"0.00231481481481","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/192","im":"0","approx_re":"0.00520833333333","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1/3","1/2","1/2","2/3"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, 280*X^4+776*X^3+580*X^2+192*X+24, -6768*X^4+41184*X^3+101328*X^2+57216*X+9888, -41472*X^4+746496*X^3+5446656*X^2+4499712*X+928512, -82944*(3*X+1)*(3*X+2)*(42*X^2+258*X+223), 11943936*(3*X+1)*(3*X+2)*(3*X+4)*(3*X+5)]", "text": "This is operator \"5.101\" from ...", "degz": 5, "h3": "16", "sol": "1 -24 2160 -309120 54608400 -10824637824 2311144932096 -519918637455360 121579349447247120 -29291011307905776000", "n_discr_factors": "2", "c3": "-114", "operator": "4 5 0 0 0 0 1 24 192 580 776 280 9888 57216 101328 41184 -6768 928512 4499712 5446656 746496 -41472 -36993024 -209267712 -366031872 -223948800 -31352832 477757440 2794881024 5267275776 3869835264 967458816", "new_number": "5.101", "id": 183, "operator_tex": "\\theta^4+2^{2} x\\left(70\\theta^4+194\\theta^3+145\\theta^2+48\\theta+6\\right)-2^{4} 3 x^{2}\\left(141\\theta^4-858\\theta^3-2111\\theta^2-1192\\theta-206\\right)-2^{8} 3^{2} x^{3}\\left(18\\theta^4-324\\theta^3-2364\\theta^2-1953\\theta-403\\right)-2^{10} 3^{4} x^{4}(3\\theta+1)(3\\theta+2)(42\\theta^2+258\\theta+223)+2^{14} 3^{6} x^{5}(3\\theta+1)(3\\theta+2)(3\\theta+4)(3\\theta+5)", "superseek": "-52 -44772", "discriminant": "5 1 280 -6768 -41472 -31352832 967458816", "aesz": "348\n", "n_sing_complex": "2", "inst_int": "", "c2h": "40", "hash": "8759f016475d17d0fc88f4b98a374d3f", "dim_h": "6", "inst": " -52 461/2 -44772 3546761/2 -178670332 32517931641/2 -1653102364436 366947580015355/2 -21196688793453600 5118794506088892927/2", "cleanlist": "True", "n_sing_real": "3", "sol_explicit": "", "n_sing_rational": "2", "n_sing": "5", "laurent": null, "discriminant_tex": "(746496z^3+17280z^2+352z+1)(-1+36z)^2", "discr_factors": "967458816, z^3+5/216*z^2+11/23328*z+1/746496, (-1/36+z)^2", "dm_basis": null, "q": "0 1 96 5712 419072 25422576 2011912704 92161450240 10068708114432 59645210003352", "yuk": "1 -52 1792 -1208896 113498144 -22333791552 3511935410176 -567014111001600 93938580597429024 -15452386130428883296", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/2592*(1502+342*57^(1/2))^(1/3)+41/648/(1502+342*57^(1/2))^(1/3)-5/648","im":"-1/16*3^(1/2)*(1/162*(1502+342*57^(1/2))^(1/3)+82/81/(1502+342*57^(1/2))^(1/3))","approx_re":"-0.009925","approx_im":"-0.017537","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/2592*(1502+342*57^(1/2))^(1/3)+41/648/(1502+342*57^(1/2))^(1/3)-5/648","im":"1/16*3^(1/2)*(1/162*(1502+342*57^(1/2))^(1/3)+82/81/(1502+342*57^(1/2))^(1/3))","approx_re":"-0.009925","approx_im":"0.017537","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/1296*(1502+342*57^(1/2))^(1/3)-41/324/(1502+342*57^(1/2))^(1/3)-5/648","im":"0","approx_re":"-0.003299","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":"1/36","im":"0","approx_re":"0.0277777777778","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1/3","2/3","4/3","5/3"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -320*X^4-832*X^3-640*X^2-224*X-32, 13312*X^4+120832*X^3+212992*X^2+125952*X+26368, 917504*X^4+786432*X^3-6291456*X^2-6881280*X-1900544, -262144*(2*X+1)*(56*X^3+468*X^2+646*X+249), -16777216*(2*X+1)*(4*X+3)*(4*X+5)*(2*X+3)]", "text": "This is operator \"5.14\" from ...", "degz": 5, "h3": "16", "sol": "1 32 2448 273920 38525200 6236600832 1103685859584 207343941083136 40648001362459920 8227704225727500800", "n_discr_factors": "3", "c3": "40", "operator": "4 5 0 0 0 0 1 -32 -224 -640 -832 -320 26368 125952 212992 120832 13312 -1900544 -6881280 -6291456 786432 917504 -65273856 -299892736 -461373440 -260046848 -29360128 -754974720 -3623878656 -6106906624 -4294967296 -1073741824", "new_number": "5.14", "id": 221, "operator_tex": "\\theta^4-2^{5} x\\left(10\\theta^4+26\\theta^3+20\\theta^2+7\\theta+1\\right)+2^{8} x^{2}\\left(52\\theta^4+472\\theta^3+832\\theta^2+492\\theta+103\\right)+2^{16} x^{3}\\left(14\\theta^4+12\\theta^3-96\\theta^2-105\\theta-29\\right)-2^{18} x^{4}(2\\theta+1)(56\\theta^3+468\\theta^2+646\\theta+249)-2^{24} x^{5}(2\\theta+1)(4\\theta+3)(4\\theta+5)(2\\theta+3)", "superseek": "64 23360", "discriminant": "5 1 -320 13312 917504 -29360128 -1073741824", "aesz": "116", "n_sing_complex": "0", "inst_int": "", "c2h": "40", "hash": "0b366ad8c78b6697205c5a7fff270f5b", "dim_h": "6", "inst": " 64 12 23360 654490 53956288 3558145052 286700496448 24007522298674 2129883087617536 196912935173735108", "cleanlist": "True", "n_sing_real": "4", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "4", "laurent": null, "discriminant_tex": "-(-1+256z)(32z+1)^2(64z-1)^2", "discr_factors": "-1073741824, -1/256+z, (z+1/32)^2, (z-1/64)^2", "dm_basis": null, "q": "0 1 -96 6816 -493568 32166192 -2164343808 130369476096 -8668096954368 469785092535960", "yuk": "1 64 160 630784 41887520 6744536064 768559962112 98338270281728 12291851458808608 1552684770873814528", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/32","im":"0","approx_re":"-0.03125","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"1/256","im":"0","approx_re":"0.00390625","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":["1/2","3/4","5/4","3/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -216*X^4-264*X^3-196*X^2-64*X-8, 6672*X^4-4896*X^3-19504*X^2-12416*X-2464, 42496*X^4+491520*X^3+406784*X^2+110592*X+5888, -28672*(2*X+1)*(38*X^3+45*X^2+12*X-2), -802816*(2*X+1)*(X+1)^2*(2*X+3)]", "text": "This is operator \"5.73\" from ...", "degz": 5, "h3": "16", "sol": "1 8 528 45440 4763920 556795008 69938905344 9243039995904 1268613972671760 179279670581348480", "n_discr_factors": "3", "c3": "-72", "operator": "4 5 0 0 0 0 1 -8 -64 -196 -264 -216 -2464 -12416 -19504 -4896 6672 5888 110592 406784 491520 42496 57344 -229376 -1978368 -3670016 -2179072 -2408448 -11239424 -18464768 -12845056 -3211264", "new_number": "5.73", "id": 286, "operator_tex": "\\theta^4-2^{2} x\\left(54\\theta^4+66\\theta^3+49\\theta^2+16\\theta+2\\right)+2^{4} x^{2}\\left(417\\theta^4-306\\theta^3-1219\\theta^2-776\\theta-154\\right)+2^{8} x^{3}\\left(166\\theta^4+1920\\theta^3+1589\\theta^2+432\\theta+23\\right)-2^{12} 7 x^{4}(2\\theta+1)(38\\theta^3+45\\theta^2+12\\theta-2)-2^{14} 7^{2} x^{5}(2\\theta+1)(\\theta+1)^2(2\\theta+3)", "superseek": "20 13188", "discriminant": "5 1 -216 6672 42496 -2179072 -3211264", "aesz": "293\n", "n_sing_complex": "0", "inst_int": "", "c2h": "52", "hash": "f19eeaee48396d15d7cf7be47d7d48a7", "dim_h": "7", "inst": " 20 867/2 13188 609734 35512476 4757494887/2 174895402996 13771251674214 1142718645352032 197654872436043985/2", "cleanlist": "True", "n_sing_real": "5", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "5", "laurent": null, "discriminant_tex": "-(16z+1)(256z^2+176z-1)(-1+28z)^2", "discr_factors": "-3211264, z^2+11/16*z-1/256, z+1/16, (-1/28+z)^2", "dm_basis": null, "q": "0 1 -32 -480 -4352 -721104 -62992896 -5185868288 -452386127872 -41357676687720", "yuk": "1 20 3488 356096 39026464 4439059520 513809807360 59989123227648 7050880896224032 833041892461987424", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-11/32-5/32*5^(1/2)","im":"0","approx_re":"-0.693136","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/16","im":"0","approx_re":"-0.0625","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"-11/32+5/32*5^(1/2)","im":"0","approx_re":"0.005636","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/28","im":"0","approx_re":"0.0357142857143","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1/2","1","1","3/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -128*X^4-544*X^3-400*X^2-128*X-16, -22272*X^4-38400*X^3-8192*X^2+512*X+256, -827392*X^4-983040*X^3-864256*X^2-417792*X-77824, -196608*(2*X+1)*(22*X^3+45*X^2+38*X+12), -9437184*(2*X+1)*(X+1)^2*(2*X+3)]", "text": "This is operator \"5.89\" from ...", "degz": 5, "h3": "16", "sol": "1 16 1200 136960 19010320 2955407616 494633669376 87189633822720 15971078116216080 3013478085823279360", "n_discr_factors": "2", "c3": "-44", "operator": "4 5 0 0 0 0 1 -16 -128 -400 -544 -128 256 512 -8192 -38400 -22272 -77824 -417792 -864256 -983040 -827392 -2359296 -12189696 -23789568 -22020096 -8650752 -28311552 -132120576 -217055232 -150994944 -37748736", "new_number": "5.89", "id": 303, "operator_tex": "\\theta^4-2^{4} x\\left(8\\theta^4+34\\theta^3+25\\theta^2+8\\theta+1\\right)-2^{8} x^{2}\\left(87\\theta^4+150\\theta^3+32\\theta^2-2\\theta-1\\right)-2^{12} x^{3}\\left(202\\theta^4+240\\theta^3+211\\theta^2+102\\theta+19\\right)-2^{16} 3 x^{4}(2\\theta+1)(22\\theta^3+45\\theta^2+38\\theta+12)-2^{20} 3^{2} x^{5}(2\\theta+1)(\\theta+1)^2(2\\theta+3)", "superseek": "48 25200", "discriminant": "5 1 -128 -22272 -827392 -8650752 -37748736", "aesz": "329", "n_sing_complex": "2", "inst_int": "", "c2h": "52", "hash": "8c526b3b825d5ad6a3d0fb83ee4e6059", "dim_h": "7", "inst": " 48 270 25200 968066 80892688 5836971062 522155519152 47398217590425 4636171366134912 468150494473792826", "cleanlist": "True", "n_sing_real": "3", "sol_explicit": "", "n_sing_rational": "2", "n_sing": "5", "laurent": null, "discriminant_tex": "-(16384z^3+3072z^2+224z-1)(1+48z)^2", "discr_factors": "-37748736, (1/48+z)^2, z^3+3/16*z^2+7/512*z-1/16384", "dm_basis": null, "q": "0 1 -64 1664 -68608 820656 -171802624 -6555458560 -1123846586368 -100669089912680", "yuk": "1 48 2208 680448 61958432 10111586048 1260786432000 179099343069184 24267887468256032 3379768925913031296", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/192*(189+33*33^(1/2))^(1/3)+1/32/(189+33*33^(1/2))^(1/3)-1/16","im":"-1/32*3^(1/2)*(1/6*(189+33*33^(1/2))^(1/3)+1/(189+33*33^(1/2))^(1/3))","approx_re":"-0.095858","approx_im":"-0.072741","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/192*(189+33*33^(1/2))^(1/3)+1/32/(189+33*33^(1/2))^(1/3)-1/16","im":"1/32*3^(1/2)*(1/6*(189+33*33^(1/2))^(1/3)+1/(189+33*33^(1/2))^(1/3))","approx_re":"-0.095858","approx_im":"0.072741","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/48","im":"0","approx_re":"-0.0208333333333","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":"1/96*(189+33*33^(1/2))^(1/3)-1/16/(189+33*33^(1/2))^(1/3)-1/16","im":"0","approx_re":"0.004215","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1/2","1","1","3/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, 1792*X^4-1024*X^3-512*X^2+16, 917504*X^4-1048576*X^3+49152*X^2-163840*X-65536, 33554432*X^4-402653184*X^3-457179136*X^2-276824064*X-57671680, -1610612736*(2*X+1)*(10*X+7)*(2*X^2+4*X+3), -2473901162496*(2*X+1)*(X+1)^2*(2*X+3)]", "text": "B-Incarnation as double octic D.O.20\n", "degz": 5, "h3": "16", "sol": "1 -16 4368 -344320 107445520 -12148367616 3860075847936 -516712812515328 164039018022182160 -24277289247356104960", "n_discr_factors": "3", "c3": "320", "operator": "4 5 0 0 0 0 1 16 0 -512 -1024 1792 -65536 -163840 49152 -1048576 917504 -57671680 -276824064 -457179136 -402653184 33554432 -33822867456 -161061273600 -273804165120 -206158430208 -64424509440 -7421703487488 -34634616274944 -56899726737408 -39582418599936 -9895604649984", "new_number": "5.90", "id": 305, "operator_tex": "\\theta^4+2^{4} x\\left(112\\theta^4-64\\theta^3-32\\theta^2+1\\right)+2^{14} x^{2}\\left(56\\theta^4-64\\theta^3+3\\theta^2-10\\theta-4\\right)+2^{20} x^{3}\\left(32\\theta^4-384\\theta^3-436\\theta^2-264\\theta-55\\right)-2^{29} 3 x^{4}(2\\theta+1)(10\\theta+7)(2\\theta^2+4\\theta+3)-2^{38} 3^{2} x^{5}(2\\theta+1)(\\theta+1)^2(2\\theta+3)", "superseek": "352 3284448", "discriminant": "5 1 1792 917504 33554432 -64424509440 -9895604649984", "aesz": "330", "n_sing_complex": "0", "inst_int": "", "c2h": "16", "hash": "ba5b66d5fe92237e6416a117563571e9", "dim_h": "4", "inst": " 352 -23368 3284448 -578330224 120252731680 -27415759432616 6701726151914080 -1720803298688523376 459238567520109337856 -126317379213699482253720", "cleanlist": "True", "n_sing_real": "4", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "4", "laurent": null, "discriminant_tex": "-(-1+256z)(256z+1)^2(768z+1)^2", "discr_factors": "-9895604649984, (z+1/256)^2, (z+1/768)^2, -1/256+z", "dm_basis": null, "q": "0 1 -64 1632 -436224 141710896 -43304871936 12756718699008 -3828584306835456 1163560985061276312", "yuk": "1 352 -186592 88680448 -37013320928 15031591460352 -5921803948951552 2298692070106529792 -881051288965537289440 334784915722159795977472", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/256","im":"0","approx_re":"-0.00390625","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/768","im":"0","approx_re":"-0.00130208333333","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","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1/2","1","1","3/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, 288*X^4-768*X^3-528*X^2-144*X-16, -44032*X^4-262144*X^3-64000*X^2-23040*X-5120, -18644992*X^4-33423360*X^3-30851072*X^2-14401536*X-2572288, -3670016*(2*X+1)*(186*X^3+375*X^2+317*X+100), -6576668672*(2*X+1)*(X+1)^2*(2*X+3)]", "text": "This is operator \"5.91\" from ...", "degz": 5, "h3": "16", "sol": "1 16 1488 183040 27611920 4644009216 840155264256 159984411045888 31647762945461520 6447385477360072960", "n_discr_factors": "4", "c3": "68", "operator": "4 5 0 0 0 0 1 -16 -144 -528 -768 288 -5120 -23040 -64000 -262144 -44032 -2572288 -14401536 -30851072 -33423360 -18644992 -367001600 -1897398272 -3703046144 -3435134976 -1365245952 -19730006016 -92073361408 -151263379456 -105226698752 -26306674688", "new_number": "5.91", "id": 306, "operator_tex": "\\theta^4+2^{4} x\\left(18\\theta^4-48\\theta^3-33\\theta^2-9\\theta-1\\right)-2^{9} x^{2}\\left(86\\theta^4+512\\theta^3+125\\theta^2+45\\theta+10\\right)-2^{14} x^{3}\\left(1138\\theta^4+2040\\theta^3+1883\\theta^2+879\\theta+157\\right)-2^{19} 7 x^{4}(2\\theta+1)(186\\theta^3+375\\theta^2+317\\theta+100)-2^{27} 7^{2} x^{5}(2\\theta+1)(\\theta+1)^2(2\\theta+3)", "superseek": "112 186800", "discriminant": "5 1 288 -44032 -18644992 -1365245952 -26306674688", "aesz": "331", "n_sing_complex": "0", "inst_int": "", "c2h": "40", "hash": "a30093d8c1ab2f66122cef8935b79efb", "dim_h": "6", "inst": " 112 -2242 186800 -11675813 1250599376 -109453519578 12996262564592 -1335165142501083 167689997418831488 -18917764674198834614", "cleanlist": "True", "n_sing_real": "5", "sol_explicit": "", "n_sing_rational": "5", "n_sing": "5", "laurent": null, "discriminant_tex": "-(32z+1)(256z-1)(64z+1)(1+224z)^2", "discr_factors": "-26306674688, z-1/256, (1/224+z)^2, z+1/64, z+1/32", "dm_basis": null, "q": "0 1 -80 4224 -353280 32901040 -3889583616 442866134016 -57164706250752 7080975365853336", "yuk": "1 112 -17824 5043712 -747269856 156324922112 -23641955203072 4457718059655168 -683604553707824352 122246008118333198464", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/32","im":"0","approx_re":"-0.03125","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/64","im":"0","approx_re":"-0.015625","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/224","im":"0","approx_re":"-0.00446428571429","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","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1/2","1","1","3/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -16*(2*X+1)^4]", "text": "A-incarnation: X(2,2,2,2) in P^7.", "degz": 1, "h3": "16", "sol": "1 16 1296 160000 24010000 4032758016 728933458176 138735983333376 27435582641610000 5588044012339360000", "n_discr_factors": "1", "c3": "-128", "operator": "4 1 0 0 0 0 1 -16 -128 -384 -512 -256", "new_number": "1.3", "id": 559, "operator_tex": "\\theta^4-2^{4} x\\left((2\\theta+1)^4\\right)", "superseek": "32 26016", "discriminant": "1 1 -256", "aesz": "3", "n_sing_complex": "0", "inst_int": null, "c2h": "64", "hash": "e7a9c334fb603aceccc0517dab63e7d4", "dim_h": "8", "inst": " 32 608 26016 1606496 122373984 10658495200 1018772173600 104253943524192 11240359754020608 1262906123993222176", "cleanlist": "True", "n_sing_real": "2", "sol_explicit": "A_{n}=\\dbinom{2n}{n}^4", "n_sing_rational": "2", "n_sing": "2", "laurent": null, "discriminant_tex": "1-256z", "discr_factors": "-256, -1/256+z", "dm_basis": null, "q": "0 1 -64 1120 -38912 -1536464 -177833984 -19069001216 -2183489257472 -260277863245160", "yuk": "1 32 4896 702464 102820640 15296748032 2302235670528 349438855544832 53378019187206944 8194222260681725696", "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":"1/256","im":"0","approx_re":"0.00390625","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","1/2","1/2"],"monodromy":[],"monodromy_dm":[]}]}]}