{"count": 16, "status":"OK", "data":[{"pols": "[X^4, -12*(3*X+1)*(3*X+2)*(8*X^2+8*X+3), 2304*(3*X+1)*(3*X+2)*(3*X+4)*(3*X+5)]", "text": "", "degz": 2, "h3": null, "sol": "1 72 14760 3951360 1198751400 391176257472 133901221918464 47411323466158080 17215474536402765480 6374166727892926248000", "n_discr_factors": "1", "c3": null, "operator": "4 2 0 0 0 0 1 -72 -516 -1380 -1728 -864 92160 539136 1016064 746496 186624", "new_number": "2.18", "id": 9, "operator_tex": "\\theta^4-2^{2} 3 x(3\\theta+1)(3\\theta+2)(8\\theta^2+8\\theta+3)+2^{8} 3^{2} x^{2}(3\\theta+1)(3\\theta+2)(3\\theta+4)(3\\theta+5)", "superseek": "36 8076", "discriminant": "2 1 -864 186624", "aesz": "110", "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "5060b638cac581d5f0f9dd7f40d90e6c", "dim_h": null, "inst": " 36 -144 8076 -57996 6960672 -12143856 10041274764 98875091268 19944340019760 482716439753472", "cleanlist": "True", "n_sing_real": "2", "sol_explicit": 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165110467068518400 75269439109043922600 35089980080429298024000", "n_discr_factors": "2", "c3": "-344", "operator": "4 2 0 0 0 0 1 -72 -588 -1676 -2176 -1088 120960 811008 1585152 1179648 294912", "new_number": "2.26", "id": 18, "operator_tex": "\\theta^4-2^{2} x(4\\theta+1)(4\\theta+3)(17\\theta^2+17\\theta+6)+2^{7} 3^{2} x^{2}(4\\theta+1)(4\\theta+3)(4\\theta+5)(4\\theta+7)", "superseek": "44 22500", "discriminant": "2 1 -1088 294912", "aesz": "139", "n_sing_complex": "0", "inst_int": "", "c2h": "120", "hash": "f5d9215987323abcff6ed8709927af5d", "dim_h": "14", "inst": " 44 607 22500 1444678 128626784 13469917781 1522820820452 179595469620910 21853624667881360 2736519633179452216", "cleanlist": "True", "n_sing_real": "3", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "3", "laurent": null, "discriminant_tex": "(576z-1)(512z-1)", "discr_factors": "294912, z-1/512, z-1/576", "dm_basis": ["-344*lambda", "9", "1", "1", "-5", "-12", "-1", "0", "0", "24", "0", "0", "-24", "0", "0", "0"], "q": "0 1 -300 70878 -15057904 3009908013 -579157118568 108444942299154 -19911945230728896 3600324639279134982", "yuk": "1 44 4900 607544 92464292 16078348044 2909502853096 522327541415080 91952880538370212 15931292382886118984", "gv2": null, "gv0": null, "gv1": null, 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{"pols": "[X^4, -4*X*(X+1)*(2*X+1)^2, -32*(2*X+1)*(2*X+3)*(11*X^2+22*X+12), -1200*(2*X+1)*(2*X+3)^2*(2*X+5), -4864*(2*X+1)*(2*X+3)*(2*X+5)*(2*X+7)]", "text": "Sporadic Operator.", "degz": 4, "h3": null, "sol": "1 0 72 1200 44520 1451520 54164880 2075673600 82978295400 3404489088000", "n_discr_factors": "2", "c3": null, "operator": "4 4 0 0 0 0 1 0 -4 -20 -32 -16 -1152 -5184 -8224 -5632 -1408 -54000 -201600 -240000 -115200 -19200 -510720 -1712128 -1673216 -622592 -77824", "new_number": "4.37", "id": 134, "operator_tex": "\\theta^4-2^{2} x\\theta(\\theta+1)(2\\theta+1)^2-2^{5} x^{2}(2\\theta+1)(2\\theta+3)(11\\theta^2+22\\theta+12)-2^{4} 3 5^{2} x^{3}(2\\theta+1)(2\\theta+3)^2(2\\theta+5)-2^{8} 19 x^{4}(2\\theta+1)(2\\theta+3)(2\\theta+5)(2\\theta+7)", "superseek": "4 284", "discriminant": "4 1 -16 -1408 -19200 -77824", "aesz": "206", "n_sing_complex": "1", "inst_int": "", "c2h": null, "hash": "bd5dae321e1369e7fae153775f84a351", "dim_h": null, "inst": " 4 27 284 4368 80968 1722333 40082284 998658176 26202453860 716312822310", "cleanlist": "True", "n_sing_real": "2", "sol_explicit": "", "n_sing_rational": "2", "n_sing": "3", "laurent": null, "discriminant_tex": "-(16z+1)(4864z^3+896z^2+32z-1)", "discr_factors": "-77824, z^3+7/38*z^2+1/152*z-1/4864, z+1/16", "dm_basis": null, "q": "0 1 -4 -174 -1008 5703 -60552 -6912774 -195899200 -4965619785", "yuk": "1 4 220 7672 279772 10121004 372031816 13748223416 511313265884 19101588871612", "gv2": null, "gv0": null, "gv1": null, 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{"pols": "[X^4, -72-600*X-1923*X^2-2646*X^3-837*X^4, 143856+905904*X+1781190*X^2+831060*X^3-34992*X^4, 7243344+72275976*X+242652024*X^2+306110016*X^3+71567388*X^4, 229582512*(3*X+1)*(2*X+1)^2*(3*X+2)]", "text": "Sporadic Operator.", "degz": 4, "h3": null, "sol": "1 72 18360 6552000 2767980600 1299283457472 656117126368704 349624543068852480 194103929303224083000 111279944461816742040000", "n_discr_factors": "3", "c3": null, "operator": "4 4 0 0 0 0 1 -72 -600 -1923 -2646 -837 143856 905904 1781190 831060 -34992 7243344 72275976 242652024 306110016 71567388 459165024 3902902704 12167873136 16529940864 8264970432", "new_number": "4.57", "id": 156, "operator_tex": "\\theta^4-3 x\\left(279\\theta^4+882\\theta^3+641\\theta^2+200\\theta+24\\right)-2 3^{5} x^{2}\\left(72\\theta^4-1710\\theta^3-3665\\theta^2-1864\\theta-296\\right)+2^{2} 3^{9} x^{3}\\left(909\\theta^4+3888\\theta^3+3082\\theta^2+918\\theta+92\\right)+2^{4} 3^{15} x^{4}(3\\theta+1)(2\\theta+1)^2(3\\theta+2)", "superseek": "243 513936", "discriminant": "4 1 -837 -34992 71567388 8264970432", "aesz": "278", "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "b30f6ac0da69cf91ab39089e6bf1ac8c", "dim_h": null, "inst": " 243 -3402 513936 2470824 6888345300 521184197574 177276531680712 27272307827975184 7090947333466041546 1462038119518392451530", "cleanlist": "True", "n_sing_real": "4", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "4", "laurent": null, "discriminant_tex": "(729z-1)(432z-1)(1+162z)^2", "discr_factors": "8264970432, (1/162+z)^2, z-1/729, z-1/432", "dm_basis": null, "q": "0 1 -312 72504 -15282248 2942883132 -551629499184 98423117795516 -17576968135443600 2995643349545507766", "yuk": "1 243 -26973 13876515 158105763 861043162743 112575800525283 60805850366484459 13963421608081399971 5169300606096758163549", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/162","im":"0","approx_re":"-0.00617283950617","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","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":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1/3","1/2","1/2","2/3"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[25*X^4, -52245*X^4-91530*X^3-63615*X^2-17850*X-1800, 9051264*X^4+10240992*X^3+69984*X^2-1244160*X-213120, -458535168*X^4-302330880*X^3-186437376*X^2-67184640*X-8709120, 53747712*(3*X+1)^2*(3*X+2)^2]", "text": "Sporadic Operator.", "degz": 4, "h3": null, "sol": "1 72 41400 37396800 41397463800 51465849507072 68974101299847744 97431256231311974400 143088412046096191217400 216526904351285764733640000", "n_discr_factors": "2", "c3": null, "operator": "4 4 0 0 0 0 25 -1800 -17850 -63615 -91530 -52245 -213120 -1244160 69984 10240992 9051264 -8709120 -67184640 -186437376 -302330880 -458535168 214990848 1934917632 6288482304 8707129344 4353564672", "new_number": "4.68", "id": 168, "operator_tex": "5^{2} \\theta^4-3 5 x\\left(3483\\theta^4+6102\\theta^3+4241\\theta^2+1190\\theta+120\\right)+2^{5} 3^{2} x^{2}\\left(31428\\theta^4+35559\\theta^3+243\\theta^2-4320\\theta-740\\right)-2^{8} 3^{5} x^{3}\\left(7371\\theta^4+4860\\theta^3+2997\\theta^2+1080\\theta+140\\right)+2^{13} 3^{8} x^{4}(3\\theta+1)^2(3\\theta+2)^2", "superseek": "2043/5 88982631/5", "discriminant": "4 25 -52245 9051264 -458535168 4353564672", "aesz": "337", "n_sing_complex": "1", "inst_int": "", "c2h": null, "hash": "dc26e94a7c1daba6f627be36c42019b7", "dim_h": null, "inst": " 2043/5 279018/5 88982631/5 8604708876 25774859896713/5 17683308060957072/5 13325172014008420146/5 10754726369310113746644/5 1829462967322461406625346 8108517336265913904915653934/5", "cleanlist": "True", "n_sing_real": "2", "sol_explicit": "", "n_sing_rational": "2", "n_sing": "3", "laurent": null, "discriminant_tex": "(23328z^2-1917z+1)(-5+432z)^2", "discr_factors": "4353564672, (-5/432+z)^2, z^2-71/864*z+1/23328", "dm_basis": null, "q": "0 1 -426 27621 -13241608 -7686485202 -6081843427074 -5184549890041414 -4670074254201955296 -4386070348249547118789", "yuk": "1 2043/5 2234187/5 480506616 2753509074507/5 3221857487091168/5 3819594543571492776/5 4570534000804888112121/5 1101283980217906349471247 1333678503178074365910383850", "gv2": null, "gv0": null, "gv1": null, 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1088*X^4-4864*X^3-8480*X^2-5216*X-1152, 36352*X^4+153600*X^3+85760*X^2-9984*X-13824, -417792*X^4+344064*X^3+1812480*X^2+1603584*X+442368, -294912*(4*X+3)*(X+1)^2*(4*X+5)]", "text": "This is operator \"5.112\" from ...", "degz": 5, "h3": null, "sol": "1 0 72 1728 72360 3024000 138700800 6638284800 330006738600 16870582713600", "n_discr_factors": "4", "c3": null, "operator": "4 5 0 0 0 0 1 0 -4 -20 -32 -88 -1152 -5216 -8480 -4864 1088 -13824 -9984 85760 153600 36352 442368 1603584 1812480 344064 -417792 -4423680 -18284544 -28016640 -18874368 -4718592", "new_number": "5.112", "id": 195, "operator_tex": "\\theta^4-2^{2} x\\theta(22\\theta^3+8\\theta^2+5\\theta+1)+2^{5} x^{2}\\left(34\\theta^4-152\\theta^3-265\\theta^2-163\\theta-36\\right)+2^{8} x^{3}\\left(142\\theta^4+600\\theta^3+335\\theta^2-39\\theta-54\\right)-2^{11} 3 x^{4}\\left(68\\theta^4-56\\theta^3-295\\theta^2-261\\theta-72\\right)-2^{15} 3^{2} x^{5}(4\\theta+3)(\\theta+1)^2(4\\theta+5)", "superseek": "4 940", "discriminant": "5 1 -88 1088 36352 -417792 -4718592", "aesz": "395", "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "2d13c01eaf16983977dfb0325c5f376e", "dim_h": null, "inst": " 4 60 940 19091 463904 12973348 400305324 13268626837 464051654448 16924201942912", "cleanlist": "True", "n_sing_real": "5", "sol_explicit": "A_{n}=\\sum_{j,k=0}^{n}(-4)^{n-k}\\dbinom{n}{j}\\dbinom{n}{k}\\dbinom{2j}{j}\\dbinom{j}{k}\\dbinom{n+j}{n}\\dbinom{2n-2k}{n}", "n_sing_rational": "5", "n_sing": "5", "laurent": null, "discriminant_tex": "-(16z+1)(8z+1)(64z-1)(-1+24z)^2", "discr_factors": "-4718592, z+1/16, (-1/24+z)^2, z+1/8, z-1/64", "dm_basis": null, "q": "0 1 -4 -194 -2768 -45843 -1241656 -43214286 -1607604288 -61898933306", "yuk": "1 4 484 25384 1222308 57988004 2802269032 137304726136 6793538162852 338293656117976", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/8","im":"0","approx_re":"-0.125","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/16","im":"0","approx_re":"-0.0625","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"1/64","im":"0","approx_re":"0.015625","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/24","im":"0","approx_re":"0.0416666666667","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["3/4","1","1","5/4"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, 368*X^4-2720*X^3-1924*X^2-564*X-72, -442368*X^4-1050624*X^3+1184256*X^2+744192*X+154368, -116785152*X^4+414056448*X^3+329121792*X^2+99532800*X+6635520, 2293235712*(2*X+1)*(8*X^3+8*X^2+X-1), -440301256704*(2*X+1)*(X+1)^2*(2*X+3)]", "text": "B-Incarnation as fibre product 62211- x 236--1\n", "degz": 5, "h3": null, "sol": "1 72 12456 3202560 1030375080 378700443072 151437179545344 64137527097126912 28316586564291528360 12902016464015671586880", "n_discr_factors": "4", "c3": null, "operator": "4 5 0 0 0 0 1 -72 -564 -1924 -2720 368 154368 744192 1184256 -1050624 -442368 6635520 99532800 329121792 414056448 -116785152 -2293235712 -2293235712 22932357120 55037657088 36691771392 -1320903770112 -6164217593856 -10126928904192 -7044820107264 -1761205026816", "new_number": "5.132", "id": 217, "operator_tex": "\\theta^4+2^{2} x\\left(92\\theta^4-680\\theta^3-481\\theta^2-141\\theta-18\\right)-2^{8} 3^{2} x^{2}\\left(192\\theta^4+456\\theta^3-514\\theta^2-323\\theta-67\\right)-2^{14} 3^{4} x^{3}\\left(88\\theta^4-312\\theta^3-248\\theta^2-75\\theta-5\\right)+2^{20} 3^{7} x^{4}(2\\theta+1)(8\\theta^3+8\\theta^2+\\theta-1)-2^{26} 3^{8} x^{5}(2\\theta+1)(\\theta+1)^2(2\\theta+3)", "superseek": "388 3446444", "discriminant": "5 1 368 -442368 -116785152 36691771392 -1761205026816", "aesz": null, "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "55a5cb23b8c035363ff67bcc0d5fd556", "dim_h": null, "inst": " 388 -23196 3446444 -571523888 119779121440 -26337851952244 6379158138230956 -1594340792909831456 418770245751785729712 -112521837302387810648160", "cleanlist": "True", "n_sing_real": "5", "sol_explicit": "", "n_sing_rational": "5", "n_sing": "5", "laurent": null, "discriminant_tex": "-(144z-1)(576z-1)(64z-1)(1+576z)^2", "discr_factors": "-1761205026816, z-1/144, (1/576+z)^2, z-1/64, z-1/576", "dm_basis": null, "q": "0 1 -276 70878 -19526288 5528415021 -1613217289752 479461257684498 -144994232477942592 44399616209674334982", "yuk": "1 388 -185180 93054376 -36577714012 14972390180388 -5688975928815896 2188051241413218296 -816302486006411419484 305283509153051890014424", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/576","im":"0","approx_re":"-0.00173611111111","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":"1/576","im":"0","approx_re":"0.00173611111111","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/144","im":"0","approx_re":"0.00694444444444","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":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1/2","1","1","3/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[49*X^4, 7*X*(-14-73*X-118*X^2+13*X^3), -56448-267792*X-452856*X^2-322704*X^3-81072*X^4, -2325456-9761472*X-13680576*X^2-7741440*X^3-1567296*X^4, -6912*(2*X+1)*(572*X^3+2370*X^2+2896*X+1095), -82944*(2*X+1)*(6*X+5)*(6*X+7)*(2*X+3)]", "text": "This is operator \"5.34\" from ...", "degz": 5, "h3": "42", "sol": "1 0 72 720 37800 907200 36867600 1210809600 47562114600 1773634262400", "n_discr_factors": "4", "c3": "-112", "operator": "4 5 0 0 0 0 49 0 -98 -511 -826 91 -56448 -267792 -452856 -322704 -81072 -2325456 -9761472 -13680576 -7741440 -1567296 -7568640 -35154432 -56415744 -36716544 -7907328 -8709120 -41140224 -68345856 -47775744 -11943936", "new_number": "5.34", "id": 243, "operator_tex": "7^{2} \\theta^4+7 x\\theta(-14-73\\theta-118\\theta^2+13\\theta^3)-2^{3} 3 x^{2}\\left(3378\\theta^4+13446\\theta^3+18869\\theta^2+11158\\theta+2352\\right)-2^{4} 3^{3} x^{3}\\left(3628\\theta^4+17920\\theta^3+31668\\theta^2+22596\\theta+5383\\right)-2^{8} 3^{3} x^{4}(2\\theta+1)(572\\theta^3+2370\\theta^2+2896\\theta+1095)-2^{10} 3^{4} x^{5}(2\\theta+1)(6\\theta+5)(6\\theta+7)(2\\theta+3)", "superseek": "17/7 5095/21", "discriminant": "5 49 91 -81072 -1567296 -7907328 -11943936", "aesz": "217", "n_sing_complex": "0", "inst_int": "", "c2h": "84", "hash": "e8743aeac19deca699ff90aaef6b8ea7", "dim_h": "14", "inst": " 17/7 254/7 5095/21 29600/7 491991/7 4555616/3 232427670/7 5701763664/7 143522855316/7 3818318314434/7", "cleanlist": "True", "n_sing_real": "5", "sol_explicit": "", "n_sing_rational": "5", "n_sing": "5", "laurent": null, "discriminant_tex": "-(16z+1)(27z+1)(48z-1)(7+24z)^2", "discr_factors": "-11943936, (7/24+z)^2, z+1/27, z+1/16, z-1/48", "dm_basis": null, "q": "0 1 -2 -195 -904 6482 -107274 -6762194 -156595136 -4062227319", "yuk": "1 17/7 2049/7 45872/7 1896449/7 8785556 2296078368/7 79722690827/7 2919304892417/7 104628161571236/7", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-7/24","im":"0","approx_re":"-0.291666666667","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/16","im":"0","approx_re":"-0.0625","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/27","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":"1/48","im":"0","approx_re":"0.0208333333333","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","5/6","7/6","3/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[9*X^4, 804*X^4+1464*X^3+1200*X^2+468*X+72, 37504*X^4+137536*X^3+186592*X^2+106080*X+21696, 773376*X^4+4073472*X^3+7504384*X^2+5356800*X+1261056, 2048*(2*X+1)*(826*X^3+3543*X^2+4321*X+1594), 65536*(2*X+1)*(4*X+3)*(4*X+5)*(2*X+3)]", "text": "This is operator \"5.92\" from ...", "degz": 5, "h3": null, "sol": "1 -8 72 640 -51800 931392 23595264 -2098077696 59919785640 95968100800", "n_discr_factors": "3", "c3": null, "operator": "4 5 0 0 0 0 9 72 468 1200 1464 804 21696 106080 186592 137536 37504 1261056 5356800 7504384 4073472 773376 3264512 15378432 24954880 16203776 3383296 2949120 14155776 23855104 16777216 4194304", "new_number": "5.92", "id": 307, "operator_tex": "3^{2} \\theta^4+2^{2} 3 x\\left(67\\theta^4+122\\theta^3+100\\theta^2+39\\theta+6\\right)+2^{5} x^{2}\\left(1172\\theta^4+4298\\theta^3+5831\\theta^2+3315\\theta+678\\right)+2^{8} x^{3}\\left(3021\\theta^4+15912\\theta^3+29314\\theta^2+20925\\theta+4926\\right)+2^{11} x^{4}(2\\theta+1)(826\\theta^3+3543\\theta^2+4321\\theta+1594)+2^{16} x^{5}(2\\theta+1)(4\\theta+3)(4\\theta+5)(2\\theta+3)", "superseek": "-16/3 208/3", "discriminant": "5 9 804 37504 773376 3383296 4194304", "aesz": "332", "n_sing_complex": "2", "inst_int": "", "c2h": null, "hash": "f788b099648b78746af9d38e85874401", "dim_h": null, "inst": " -16/3 -257/6 208/3 10444/3 -116608/3 -3766507/6 16797680 862676923/6 -8221703360 -32108836676/3", "cleanlist": "True", "n_sing_real": "3", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "5", "laurent": null, "discriminant_tex": "(32z+1)(2048z^2+52z+1)(8z+3)^2", "discr_factors": "4194304, (z+3/8)^2, z^2+13/512*z+1/2048, z+1/32", "dm_basis": null, "q": "0 1 20 502 10160 177341 3262552 59691418 942027712 13823359702", "yuk": "1 -16/3 -348 5600/3 667372/3 -4858672 -135592728 17284812704/3 220845959660/3 -17980865242720/3", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-3/8","im":"0","approx_re":"-0.375","approx_im":"0.0","exponents":["0","1","3","4"],"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":"-13/1024","im":"-7/1024*7^(1/2)","approx_re":"-0.0126953125","approx_im":"-0.018086","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-13/1024","im":"7/1024*7^(1/2)","approx_re":"-0.0126953125","approx_im":"0.018086","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":["1/2","3/4","5/4","3/2"],"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": "[X^4, -X*(5*X^3+46*X^2+29*X+6), -1548*X^4-6228*X^3-8322*X^2-4908*X-1152, -41148*X^4-179712*X^3-302832*X^2-229608*X-67392, -531792*X^4-2560464*X^3-4760208*X^2-4002912*X-1296000, -3396816*X^4-21682080*X^3-50633424*X^2-45542736*X-15225408, -1166400*X^4-87619968*X^3-354274560*X^2-390767328*X-145846656, 143327232*X^4+111974400*X^3-1187348544*X^2-1909303488*X-854924544, 965219328*X^4+3699634176*X^3+586185984*X^2-3934220544*X-2512705536, 994332672*X^4+19026690048*X^3+25382356992*X^2+9231169536*X-1088391168, -12576964608*X^4+7739670528*X^3+60466176000*X^2+61917364224*X+18865446912, -2902376448*(X+1)*(16*X^3+40*X^2+31*X+6), -11609505792*(X+2)*(X+1)*(2*X+3)^2]", "text": "This is operator \"12.6\" from ...", "degz": 12, "h3": null, "sol": "1 0 72 1344 48600 1658880 63303840 2503872000 103054858200 4358669750400", "n_discr_factors": "5", "c3": null, "operator": "4 12 0 0 0 0 1 0 -6 -29 -46 -5 -1152 -4908 -8322 -6228 -1548 -67392 -229608 -302832 -179712 -41148 -1296000 -4002912 -4760208 -2560464 -531792 -15225408 -45542736 -50633424 -21682080 -3396816 -145846656 -390767328 -354274560 -87619968 -1166400 -854924544 -1909303488 -1187348544 111974400 143327232 -2512705536 -3934220544 586185984 3699634176 965219328 -1088391168 9231169536 25382356992 19026690048 994332672 18865446912 61917364224 60466176000 7739670528 -12576964608 -17414258688 -107387928576 -206068727808 -162533081088 -46438023168 -208971104256 -592084795392 -615303806976 -278628139008 -46438023168", "new_number": "12.6", "id": 359, "operator_tex": "\\theta^4-x\\theta(5\\theta^3+46\\theta^2+29\\theta+6)-2 3 x^{2}\\left(258\\theta^4+1038\\theta^3+1387\\theta^2+818\\theta+192\\right)-2^{2} 3^{3} x^{3}\\left(381\\theta^4+1664\\theta^3+2804\\theta^2+2126\\theta+624\\right)-2^{4} 3^{3} x^{4}\\left(1231\\theta^4+5927\\theta^3+11019\\theta^2+9266\\theta+3000\\right)-2^{4} 3^{4} x^{5}\\left(2621\\theta^4+16730\\theta^3+39069\\theta^2+35141\\theta+11748\\right)-2^{5} 3^{5} x^{6}\\left(150\\theta^4+11268\\theta^3+45560\\theta^2+50253\\theta+18756\\right)+2^{6} 3^{7} x^{7}\\left(1024\\theta^4+800\\theta^3-8483\\theta^2-13641\\theta-6108\\right)+2^{8} 3^{7} x^{8}\\left(1724\\theta^4+6608\\theta^3+1047\\theta^2-7027\\theta-4488\\right)+2^{11} 3^{8} x^{9}\\left(74\\theta^4+1416\\theta^3+1889\\theta^2+687\\theta-81\\right)-2^{13} 3^{10} x^{10}\\left(26\\theta^4-16\\theta^3-125\\theta^2-128\\theta-39\\right)-2^{14} 3^{11} x^{11}(\\theta+1)(16\\theta^3+40\\theta^2+31\\theta+6)-2^{16} 3^{11} x^{12}(\\theta+2)(\\theta+1)(2\\theta+3)^2", "superseek": "5 953/3", "discriminant": "12 1 -5 -1548 -41148 -531792 -3396816 -1166400 143327232 965219328 994332672 -12576964608 -46438023168 -46438023168", "aesz": null, "n_sing_complex": "5", "inst_int": "", "c2h": null, "hash": "4ea78627bfc56ef9555d9b6b3c949e7a", "dim_h": null, "inst": " 5 83/2 953/3 5319 97812 6190120/3 48394460 1210203868 286835832886/9 875125075614", "cleanlist": "True", "n_sing_real": "5", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "10", "laurent": null, "discriminant_tex": "-(4z+1)(12z+1)(3z+1)(1728z^3+864z^2+36z-1)(-1-6z-36z^2+432z^3)^2", "discr_factors": "-46438023168, z+1/3, (-1/432-1/72*z-1/12*z^2+z^3)^2, z+1/4, z+1/12, z^3+1/2*z^2+1/48*z-1/1728", "dm_basis": null, "q": "0 1 -6 -141 -276 -1431 -226962 -6457073 -170709960 -4917046797", "yuk": "1 5 337 8582 340753 12226505 445697554 16599299785 619624721169 23233702472348", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/48*(-36+12*I*3^(1/2))^(1/3)-1/4/(-36+12*I*3^(1/2))^(1/3)-1/6+1/24*I*3^(1/2)*(1/2*(-36+12*I*3^(1/2))^(1/3)-6/(-36+12*I*3^(1/2))^(1/3))","im":"0","approx_re":"-0.450956","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/3","im":"0","approx_re":"-0.333333333333","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/4","im":"0","approx_re":"-0.25","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/12","im":"0","approx_re":"-0.0833333333333","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/48*(-36+12*I*3^(1/2))^(1/3)-1/4/(-36+12*I*3^(1/2))^(1/3)-1/6-1/24*I*3^(1/2)*(1/2*(-36+12*I*3^(1/2))^(1/3)-6/(-36+12*I*3^(1/2))^(1/3))","im":"0","approx_re":"-0.067934","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/72*(64+3*417^(1/2))^(1/3)-7/72/(64+3*417^(1/2))^(1/3)+1/36","im":"-1/12*3^(1/2)*(1/6*(64+3*417^(1/2))^(1/3)-7/6/(64+3*417^(1/2))^(1/3))","approx_re":"-0.061146","approx_im":"-0.08671","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/72*(64+3*417^(1/2))^(1/3)-7/72/(64+3*417^(1/2))^(1/3)+1/36","im":"1/12*3^(1/2)*(1/6*(64+3*417^(1/2))^(1/3)-7/6/(64+3*417^(1/2))^(1/3))","approx_re":"-0.061146","approx_im":"0.08671","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":"1/24*(-36+12*I*3^(1/2))^(1/3)+1/2/(-36+12*I*3^(1/2))^(1/3)-1/6","im":"0","approx_re":"0.01889","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/36*(64+3*417^(1/2))^(1/3)+7/36/(64+3*417^(1/2))^(1/3)+1/36","im":"0","approx_re":"0.205625","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","3/2","2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -3*X*(-2-11*X-18*X^2+27*X^3), -1152-4968*X-8532*X^2-8640*X^3-702*X^4, 225504*X^4+746496*X^3+1139832*X^2+719280*X+168480, -10295424-39937536*X-55281528*X^2-30932928*X^3-6648480*X^4, 39366000*X^4+439009632*X^3+1087866288*X^2+925468416*X+261740160, -1698091776-4500950976*X-2127653568*X^2+2040733440*X^3+878649120*X^4, -7958860416*X^4-59997563136*X^3-108090847872*X^2-75030966144*X-18139852800, -204073344*(3*X+2)*(3*X+4)*(6*X+5)*(6*X+7)]", "text": "This is operator \"8.21\" from ...", "degz": 8, "h3": null, "sol": "1 0 72 -1440 48600 -1814400 68090400 -2794176000 116735434200 -5045645404800", "n_discr_factors": "4", "c3": null, "operator": "4 8 0 0 0 0 1 0 6 33 54 -81 -1152 -4968 -8532 -8640 -702 168480 719280 1139832 746496 225504 -10295424 -39937536 -55281528 -30932928 -6648480 261740160 925468416 1087866288 439009632 39366000 -1698091776 -4500950976 -2127653568 2040733440 878649120 -18139852800 -75030966144 -108090847872 -59997563136 -7958860416 -57140536320 -246112452864 -387535280256 -264479053824 -66119763456", "new_number": "8.21", "id": 465, "operator_tex": "\\theta^4-3 x\\theta(-2-11\\theta-18\\theta^2+27\\theta^3)-2 3^{2} x^{2}\\left(39\\theta^4+480\\theta^3+474\\theta^2+276\\theta+64\\right)+2^{3} 3^{4} x^{3}\\left(348\\theta^4+1152\\theta^3+1759\\theta^2+1110\\theta+260\\right)-2^{3} 3^{5} x^{4}\\left(3420\\theta^4+15912\\theta^3+28437\\theta^2+20544\\theta+5296\\right)+2^{4} 3^{7} x^{5}\\left(1125\\theta^4+12546\\theta^3+31089\\theta^2+26448\\theta+7480\\right)+2^{5} 3^{9} x^{6}\\left(1395\\theta^4+3240\\theta^3-3378\\theta^2-7146\\theta-2696\\right)-2^{7} 3^{11} x^{7}\\left(351\\theta^4+2646\\theta^3+4767\\theta^2+3309\\theta+800\\right)-2^{7} 3^{13} x^{8}(3\\theta+2)(3\\theta+4)(6\\theta+5)(6\\theta+7)", "superseek": "-9 -3145/3", "discriminant": "8 1 -81 -702 225504 -6648480 39366000 878649120 -7958860416 -66119763456", "aesz": "251", "n_sing_complex": "2", "inst_int": "", "c2h": null, "hash": "dd2b60d18804c72129ba319fc8b50023", "dim_h": null, "inst": " -9 -27/4 -3145/3 -20907/4 -327348 -24524575/12 -161490492 -861171237 -101393558686 -315735960033", "cleanlist": "True", "n_sing_real": "5", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "7", "laurent": null, "discriminant_tex": "-(54z+1)(27z-1)(432z^2-36z+1)(-1+36z+324z^2)^2", "discr_factors": "-66119763456, z^2-1/12*z+1/432, z+1/54, z-1/27, (-1/324+1/9*z+z^2)^2", "dm_basis": null, "q": "0 1 6 -117 1652 16017 625266 2524463 500650824 624838131", "yuk": "1 -9 -63 -28314 -334575 -40918509 -441470718 -55391238765 -440920007919 -73915904310408", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/18-1/18*2^(1/2)","im":"0","approx_re":"-0.134123","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/54","im":"0","approx_re":"-0.0185185185185","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":"-1/18+1/18*2^(1/2)","im":"0","approx_re":"0.023012","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":"1/24","im":"-1/72*3^(1/2)","approx_re":"0.0416666666667","approx_im":"-0.024056","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/24","im":"1/72*3^(1/2)","approx_re":"0.0416666666667","approx_im":"0.024056","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["2/3","5/6","7/6","4/3"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[9*X^4, -36-234*X-603*X^2-738*X^3-342*X^4, -2556-12510*X-22605*X^2-17106*X^3-6135*X^4, 36288+134568*X+190200*X^2+142200*X^3+52992*X^4, -683616-2151888*X-1727864*X^2+450992*X^3+482296*X^4, -129664-3273952*X-9657264*X^2-9689728*X^3-3290416*X^4, 8114944+39123072*X+64345600*X^2+34978176*X^3-6580992*X^4, 15837184+80152064*X+166659840*X^2+171651584*X^3+74914048*X^4, -11214848*(4*X+3)*(X+1)^2*(4*X+5)]", "text": "This is operator \"8.24\" from ...", "degz": 8, "h3": "48", "sol": "1 4 72 1696 49960 1617504 56399616 2065102848 78509001384 3071712566560", "n_discr_factors": "2", "c3": "-86", "operator": "4 8 0 0 0 0 9 -36 -234 -603 -738 -342 -2556 -12510 -22605 -17106 -6135 36288 134568 190200 142200 52992 -683616 -2151888 -1727864 450992 482296 -129664 -3273952 -9657264 -9689728 -3290416 8114944 39123072 64345600 34978176 -6580992 15837184 80152064 166659840 171651584 74914048 -168222720 -695320576 -1065410560 -717750272 -179437568", "new_number": "8.24", "id": 468, "operator_tex": "3^{2} \\theta^4-3^{2} x\\left(38\\theta^4+82\\theta^3+67\\theta^2+26\\theta+4\\right)-3 x^{2}\\left(2045\\theta^4+5702\\theta^3+7535\\theta^2+4170\\theta+852\\right)+2^{3} 3 x^{3}\\left(2208\\theta^4+5925\\theta^3+7925\\theta^2+5607\\theta+1512\\right)+2^{3} x^{4}\\left(60287\\theta^4+56374\\theta^3-215983\\theta^2-268986\\theta-85452\\right)-2^{4} x^{5}\\left(205651\\theta^4+605608\\theta^3+603579\\theta^2+204622\\theta+8104\\right)-2^{7} x^{6}\\left(51414\\theta^4-273267\\theta^3-502700\\theta^2-305649\\theta-63398\\right)+2^{8} 37 x^{7}\\left(7909\\theta^4+18122\\theta^3+17595\\theta^2+8462\\theta+1672\\right)-2^{13} 37^{2} x^{8}(4\\theta+3)(\\theta+1)^2(4\\theta+5)", "superseek": "3 437/3", "discriminant": "8 9 -342 -6135 52992 482296 -3290416 -6580992 74914048 -179437568", "aesz": "286", "n_sing_complex": "2", "inst_int": "", "c2h": "84", "hash": "94afcd38a40c3a3e54fc3c57b4b85459", "dim_h": "15", "inst": " 3 539/24 437/3 18531/8 90274/3 14180887/24 10711739 2751585605/12 4879799322 1342664492735/12", "cleanlist": "True", "n_sing_real": "5", "sol_explicit": "", "n_sing_rational": "1", "n_sing": "7", "laurent": null, "discriminant_tex": "-(-1+40z+504z^2-3088z^3+8192z^4)(-3-3z+148z^2)^2", "discr_factors": "-179437568, (-3/148-3/148*z+z^2)^2, -1/8192+5/1024*z+63/1024*z^2-193/512*z^3+z^4", "dm_basis": null, "q": "0 1 -10 -28 272 -7113 -29692 -1859356 -29643712 -862582466", "yuk": "1 3 548/3 3936 445292/3 11284259/3 382896296/3 3674126480 117401134244 3557373709674", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"3/296-1/296*1785^(1/2)","im":"0","approx_re":"-0.132599","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"1/2*RootOf(512*_Z^4-386*_Z^3+126*_Z^2+20*_Z-1,index = 3)","im":"0","approx_re":"-0.070843","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":"1/2*RootOf(512*_Z^4-386*_Z^3+126*_Z^2+20*_Z-1,index = 1)","im":"0","approx_re":"0.020383","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"3/296+1/296*1785^(1/2)","im":"0","approx_re":"0.152869","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"1/2*RootOf(512*_Z^4-386*_Z^3+126*_Z^2+20*_Z-1,index = 2)","im":"0","approx_re":"0.213707","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/2*RootOf(512*_Z^4-386*_Z^3+126*_Z^2+20*_Z-1,index = 4)","im":"0","approx_re":"0.213707","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["3/4","1","1","5/4"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, X*(3*X^3-6*X^2-4*X-1), -211*X^4-856*X^3-1433*X^2-1184*X-384, -1522*X^4-6576*X^3-12954*X^2-13308*X-5400, 4*(X+1)*(2013*X^3+17379*X^2+40726*X+28548), 8*(X+1)*(15719*X^3+126105*X^2+325408*X+269508), 288*(X+1)*(X+2)*(1817*X^2+11967*X+19631), 10368*(X+3)*(X+2)*(X+1)*(89*X+350), 594432*(X+1)*(X+2)*(X+3)*(X+4)]", "text": "This is operator \"8.54\" from ...", "degz": 8, "h3": null, "sol": "1 0 24 72 1296 8640 103560 932400 10135440 102291840", "n_discr_factors": "5", "c3": null, "operator": "4 8 0 0 0 0 1 0 -1 -4 -6 3 -384 -1184 -1433 -856 -211 -5400 -13308 -12954 -6576 -1522 114192 277096 232420 77568 8052 2156064 4759328 3612104 1134592 125752 11307456 23854176 17039808 5016384 523296 21772800 45453312 31923072 9165312 922752 14266368 29721600 20805120 5944320 594432", "new_number": "8.54", "id": 501, "operator_tex": "\\theta^4+x\\theta(3\\theta^3-6\\theta^2-4\\theta-1)-x^{2}\\left(211\\theta^4+856\\theta^3+1433\\theta^2+1184\\theta+384\\right)-2 x^{3}\\left(761\\theta^4+3288\\theta^3+6477\\theta^2+6654\\theta+2700\\right)+2^{2} x^{4}(\\theta+1)(2013\\theta^3+17379\\theta^2+40726\\theta+28548)+2^{3} x^{5}(\\theta+1)(15719\\theta^3+126105\\theta^2+325408\\theta+269508)+2^{5} 3^{2} x^{6}(\\theta+1)(\\theta+2)(1817\\theta^2+11967\\theta+19631)+2^{7} 3^{4} x^{7}(\\theta+3)(\\theta+2)(\\theta+1)(89\\theta+350)+2^{9} 3^{3} 43 x^{8}(\\theta+1)(\\theta+2)(\\theta+3)(\\theta+4)", "superseek": "0 1/3", "discriminant": "8 1 3 -211 -1522 8052 125752 523296 922752 594432", "aesz": null, "n_sing_complex": "2", "inst_int": "", "c2h": null, "hash": "bb80872017d0578a4ae56172666b807c", "dim_h": null, "inst": " 0 1/2 1/3 -1 2 493/36 69/7 -62 737/3 1463", "cleanlist": "True", "n_sing_real": "5", "sol_explicit": "", "n_sing_rational": "5", "n_sing": "7", "laurent": null, "discriminant_tex": "(4z+1)(6z+1)(43z^2+13z+1)(2z+1)^2(12z-1)^2", "discr_factors": "594432, z+1/6, z^2+13/43*z+1/43, (z-1/12)^2, z+1/4, (z+1/2)^2", "dm_basis": null, "q": "0 1 -1 -25 5 730 631 -20569 -40309 559198", "yuk": "1 0 4 9 -60 250 2971 3381 -31804 179100", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/2","im":"0","approx_re":"-0.5","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/4","im":"0","approx_re":"-0.25","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/6","im":"0","approx_re":"-0.166666666667","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-13/86","im":"-1/86*3^(1/2)","approx_re":"-0.151162790698","approx_im":"-0.02014","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-13/86","im":"1/86*3^(1/2)","approx_re":"-0.151162790698","approx_im":"0.02014","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":"1/12","im":"0","approx_re":"0.0833333333333","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1","2","3","4"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[49*X^4, -7*X*(-7-32*X-50*X^2+29*X^3), 3*X*(532+1165*X+512*X^2+1235*X^3), -285768-932148*X-1106874*X^2-522720*X^3-96714*X^4, 5766768+16693560*X+17337132*X^2+7356960*X^3+1167804*X^4, -38343456-110859840*X-117297720*X^2-54657504*X^3-9025992*X^4, 140823360+456272352*X+543814560*X^2+279656064*X^3+47900160*X^4, -580214016-1802227968*X-2037187584*X^2-990600192*X^3-176173056*X^4, 4478976*(96*X^2+300*X+265)*(X+1)^2, -644972544*(X+1)^2*(X+2)^2]", "text": "This is operator \"9.1\" from ...", "degz": 9, "h3": null, "sol": "1 0 0 72 -432 0 45000 -529200 1587600 43747200", "n_discr_factors": "4", "c3": null, "operator": "4 9 0 0 0 0 49 0 49 224 350 -203 0 1596 3495 1536 3705 -285768 -932148 -1106874 -522720 -96714 5766768 16693560 17337132 7356960 1167804 -38343456 -110859840 -117297720 -54657504 -9025992 140823360 456272352 543814560 279656064 47900160 -580214016 -1802227968 -2037187584 -990600192 -176173056 1186928640 3717550080 4304295936 2203656192 429981696 -2579890176 -7739670528 -8384643072 -3869835264 -644972544", "new_number": "9.1", "id": 540, "operator_tex": "7^{2} \\theta^4-7 x\\theta(-7-32\\theta-50\\theta^2+29\\theta^3)+3 x^{2}\\theta(532+1165\\theta+512\\theta^2+1235\\theta^3)-2 3^{2} x^{3}\\left(5373\\theta^4+29040\\theta^3+61493\\theta^2+51786\\theta+15876\\right)+2^{2} 3^{3} x^{4}\\left(10813\\theta^4+68120\\theta^3+160529\\theta^2+154570\\theta+53396\\right)-2^{3} 3^{4} x^{5}\\left(13929\\theta^4+84348\\theta^3+181015\\theta^2+171080\\theta+59172\\right)+2^{5} 3^{5} x^{6}\\left(6160\\theta^4+35964\\theta^3+69935\\theta^2+58677\\theta+18110\\right)-2^{8} 3^{6} x^{7}\\left(944\\theta^4+5308\\theta^3+10916\\theta^2+9657\\theta+3109\\right)+2^{11} 3^{7} x^{8}(96\\theta^2+300\\theta+265)(\\theta+1)^2-2^{15} 3^{9} x^{9}(\\theta+1)^2(\\theta+2)^2", "superseek": "-4/7 955/63", "discriminant": "9 49 -203 3705 -96714 1167804 -9025992 47900160 -176173056 429981696 -644972544", "aesz": null, "n_sing_complex": "6", "inst_int": "", "c2h": null, "hash": "d32eab6005ac34ecc01a9db7675daa24", "dim_h": null, "inst": " -4/7 -4/7 955/63 -262/7 -1002/7 125282/63 -70725/7 -169650/7 5726111/7 -38133120/7", "cleanlist": "True", "n_sing_real": "2", "sol_explicit": "", "n_sing_rational": "2", "n_sing": "8", "laurent": null, "discriminant_tex": "-(6z-1)(27z^2-9z+1)(192z^2+16z+1)(7-18z+144z^2)^2", "discr_factors": "-644972544, z^2+1/12*z+1/192, z-1/6, z^2-1/3*z+1/27, (7/144-1/8*z+z^2)^2", "dm_basis": null, "q": "0 1 1 3 -133 254 1761 -6929 33685 150642", "yuk": "1 -4/7 -36/7 2861/7 -16804/7 -125254/7 3009597/7 -24258679/7 -86877604/7 4174337780/7", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/24","im":"-1/24*2^(1/2)","approx_re":"-0.0416666666667","approx_im":"-0.058926","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/24","im":"1/24*2^(1/2)","approx_re":"-0.0416666666667","approx_im":"0.058926","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":"1/16","im":"-1/48*103^(1/2)","approx_re":"0.0625","approx_im":"-0.211435","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"1/16","im":"1/48*103^(1/2)","approx_re":"0.0625","approx_im":"0.211435","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"1/6","im":"-1/18*3^(1/2)","approx_re":"0.166666666667","approx_im":"-0.096225","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/6","im":"0","approx_re":"0.166666666667","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/6","im":"1/18*3^(1/2)","approx_re":"0.166666666667","approx_im":"0.096225","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1","1","2","2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -12*(4*X+1)*(3*X+1)*(3*X+2)*(4*X+3)]", "text": "A-incarnation: X(4,6) in P^5(1,1,1,2,2,3)", "degz": 1, "h3": "6", "sol": "1 72 37800 31046400 31216185000 35233433307072 42859514205091584 54944433454090752000 73224296225581519161000 100545295640338958409000000", "n_discr_factors": "1", "c3": "-156", "operator": "4 1 0 0 0 0 1 -72 -708 -2436 -3456 -1728", "new_number": "1.11", "id": 551, "operator_tex": "\\theta^4-2^{2} 3 x(4\\theta+1)(3\\theta+1)(3\\theta+2)(4\\theta+3)", "superseek": "324 10792428", "discriminant": "1 1 -1728", "aesz": "11", "n_sing_complex": "0", "inst_int": null, "c2h": "48", "hash": "8ac8b98b80383c9f0ea125ccd6e6a55d", "dim_h": "5", "inst": " 324 37260 10792428 4580482284 2405245303584 1445879121199620 954356044728488940 674587783216046286540 502456327156445989706160 390024499398372047425152096", "cleanlist": "True", "n_sing_real": "2", "sol_explicit": null, "n_sing_rational": "2", "n_sing": "2", "laurent": null, "discriminant_tex": "1-1728z", "discr_factors": "-1728, -1/1728+z", "dm_basis": null, "q": "0 1 -420 47070 -12722000 -3647205075 -2905970331384 -2147653102943470 -1698813688696541760 -1398922214928684377850", "yuk": "1 324 298404 291395880 293151164580 300655662948324 312309890470811880 327344123341871706744 345388945006908849873060 366290662497049126787186520", "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":"1/1728","im":"0","approx_re":"0.000578703703704","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":["1/4","1/3","2/3","3/4"],"monodromy":[],"monodromy_dm":[]}]}]}