{"count": 13, "status":"OK", "data":[{"pols": "[49*X^4, -53424*X^4-105336*X^3-74718*X^2-22050*X-2352, 524448*X^4+457056*X^3-309084*X^2-247296*X-40320, -1181952*X^4+653184*X^3+722304*X^2+154224*X+6048, -15552*(3*X+1)*(2*X+1)^2*(3*X+2)]", "text": "Sporadic Operator.", "degz": 4, "h3": "7", "sol": "1 48 15840 8148000 5126536800 3619570002048 2753811350113824 2207771557753956480 1839938553689058108000 1579830078681015395520000", "n_discr_factors": "2", "c3": "-120", "operator": "4 4 0 0 0 0 49 -2352 -22050 -74718 -105336 -53424 -40320 -247296 -309084 457056 524448 6048 154224 722304 653184 -1181952 -31104 -264384 -824256 -1119744 -559872", "new_number": "4.36", "id": 133, "operator_tex": "7^{2} \\theta^4-2 3 7 x\\left(1272\\theta^4+2508\\theta^3+1779\\theta^2+525\\theta+56\\right)+2^{2} 3 x^{2}\\left(43704\\theta^4+38088\\theta^3-25757\\theta^2-20608\\theta-3360\\right)-2^{4} 3^{3} x^{3}\\left(2736\\theta^4-1512\\theta^3-1672\\theta^2-357\\theta-14\\right)-2^{6} 3^{5} 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129216 8801280 -127401984", "aesz": "232", "n_sing_complex": "0", "inst_int": "", "c2h": "52", "hash": "8d5ff690c87757ed51a092dee764eede", "dim_h": "6", "inst": " 379/5 3346 1364199/5 177727432/5 5658116533 5162925665472/5 1034132839801394/5 44368440569992104 50146684202347697994/5 2362720295938250247382", "cleanlist": "True", "n_sing_real": "4", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "4", "laurent": null, "discriminant_tex": "-(27z+1)(512z-1)(-5+96z)^2", "discr_factors": "-127401984, (-5/96+z)^2, z-1/512, z+1/27", "dm_basis": null, "q": "0 1 -114 1029 -116984 -43625010 -7822436202 -1800503860710 -431538538385184 -107734627015030629", "yuk": "1 379/5 134219/5 36833752/5 11374689867/5 3536322833504/5 1115191980709544/5 354707564051878521/5 113583207870554476107/5 36556932783511508671378/5", "gv2": null, "gv0": null, "gv1": null, 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"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, 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851613132674304 545396655633223680 363197708573488074000 249238571558094285024000", "n_discr_factors": "3", "c3": "-78", "operator": "4 4 0 0 0 0 1 -48 -432 -1456 -2048 -736 30720 195072 354816 24576 -113664 737280 7520256 25804800 31850496 2064384 28311552 240648192 750256128 1019215872 509607936", "new_number": "4.46", "id": 144, "operator_tex": "\\theta^4-2^{4} x\\left(46\\theta^4+128\\theta^3+91\\theta^2+27\\theta+3\\right)-2^{9} 3 x^{2}\\left(74\\theta^4-16\\theta^3-231\\theta^2-127\\theta-20\\right)+2^{14} 3^{2} x^{3}\\left(14\\theta^4+216\\theta^3+175\\theta^2+51\\theta+5\\right)+2^{19} 3^{3} x^{4}(3\\theta+1)(2\\theta+1)^2(3\\theta+2)", "superseek": "208 1218192", "discriminant": "4 1 -736 -113664 2064384 509607936", "aesz": "237", "n_sing_complex": "0", "inst_int": "", "c2h": "44", "hash": "52c18dd4477f6548dd3b185e97b94c20", "dim_h": "5", "inst": " 208 5874 1218192 220754467 56417503216 15951074497098 4990351864917072 1668543662657027085 588098857643537702784 215992440329420333366982", "cleanlist": "True", "n_sing_real": "4", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "4", "laurent": null, "discriminant_tex": "(864z-1)(64z-1)(1+96z)^2", "discr_factors": "509607936, z-1/864, z-1/64, (1/96+z)^2", "dm_basis": null, "q": "0 1 -240 26496 -4041728 210043824 -104028553728 -16599411155968 -8521760778977280 -3068823070013161320", "yuk": "1 208 47200 32891392 14128333088 7052187902208 3445432124311552 1711690689666555904 854294355294526200608 428724067222139018220928", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/96","im":"0","approx_re":"-0.0104166666667","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":"1/864","im":"0","approx_re":"0.00115740740741","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":["1/3","1/2","1/2","2/3"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -2432*X^4-2560*X^3-1760*X^2-480*X-48, 1314816*X^4+540672*X^3-918528*X^2-522240*X-76800, -160432128*X^4+254803968*X^3+212336640*X^2+60162048*X+5898240, -452984832*(3*X+1)*(2*X+1)^2*(3*X+2)]", "text": "Sporadic Operator.", "degz": 4, "h3": "4", "sol": "1 48 26640 21907200 22048765200 24896521698048 30291889001197824 38838210495451361280 51763875861113556426000 71081695744396302602208000", "n_discr_factors": "3", "c3": "-60", "operator": "4 4 0 0 0 0 1 -48 -480 -1760 -2560 -2432 -76800 -522240 -918528 540672 1314816 5898240 60162048 212336640 254803968 -160432128 -905969664 -7700742144 -24008196096 -32614907904 -16307453952", "new_number": "4.48", "id": 146, "operator_tex": "\\theta^4-2^{4} x\\left(152\\theta^4+160\\theta^3+110\\theta^2+30\\theta+3\\right)+2^{10} 3 x^{2}\\left(428\\theta^4+176\\theta^3-299\\theta^2-170\\theta-25\\right)-2^{17} 3^{2} x^{3}\\left(136\\theta^4-216\\theta^3-180\\theta^2-51\\theta-5\\right)-2^{24} 3^{3} x^{4}(3\\theta+1)(2\\theta+1)^2(3\\theta+2)", "superseek": "320 19748928", "discriminant": "4 1 -2432 1314816 -160432128 -16307453952", "aesz": "241", "n_sing_complex": "0", "inst_int": "", "c2h": "28", "hash": "b4d16d8dd1eb7839630ecf8e8d242023", "dim_h": "3", "inst": " 320 61084 19748928 9428973876 5618509433280 3845253330631020 2892405836819922752 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"Sporadic Operator.", "degz": 4, "h3": null, "sol": "1 18192 178183440 -132466290835200 -18938901463932265200 282304649798820482625792 544025342147050978269112721664 77358678591550894632666959343390720 -5270208916811993788352647120507759158000 -3635009303061777629147893706848630014470496000", "n_discr_factors": "2", "c3": null, "operator": "4 4 0 0 0 0 1 -18192 -298368 -2577024 -4557312 3914496 61483253760 708682186752 4366371127296 -9176113741824 3434983981056 19011157339668480 169571081282125824 511336816029204480 718183403077238784 -673764507704623104 13727836355353726943232 116686609020506679017472 363787663416873763995648 494202108792734169956352 247101054396367084978176", "new_number": "4.67", "id": 167, "operator_tex": "\\theta^4+2^{4} 3 x\\left(81552\\theta^4-94944\\theta^3-53688\\theta^2-6216\\theta-379\\right)+2^{20} 3 x^{2}\\left(1091952\\theta^4-2917008\\theta^3+1388032\\theta^2+225284\\theta+19545\\right)-2^{34} 3^{3} 7 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3^{8} x^{3}\\left(14085\\theta^4+864\\theta^3-29\\theta^2+204\\theta+44\\right)-2^{17} 3^{12} x^{4}(3\\theta+1)(2\\theta+1)^2(3\\theta+2)", "superseek": "6015 9668470011", "discriminant": "4 1 -8613 -65178432 -94629565440 -2507653251072", "aesz": null, "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "f16cc33931b60f0c5d3a1a0239a01062", "dim_h": null, "inst": " 6015 3451026 9668470011 32924097729576 144270059475420597 719319787652485401792 3944086411161197102835210 23158185018934890566297522088 143297456357348110689521077046850 924087060671515383906523935916297302", "cleanlist": "True", "n_sing_real": "4", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "4", "laurent": null, "discriminant_tex": "-(27z+1)(13824z-1)(1+2592z)^2", "discr_factors": "-2507653251072, z+1/27, z-1/13824, (1/2592+z)^2", "dm_basis": null, "q": "0 1 -3186 2615301 -7866499320 -17294023962162 -125478777327166314 -748332330474756704742 -4938290845294248979509024 -33715211837556295359772728165", "yuk": 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$P^6$.", "degz": 1, "h3": "12", "sol": "1 24 3240 672000 169785000 48057033024 14644935841536 4700530344407040 1567838026496313000 538671007365948600000", "n_discr_factors": "1", "c3": "-144", "operator": "4 1 0 0 0 0 1 -24 -204 -636 -864 -432", "new_number": "1.5", "id": 561, "operator_tex": "\\theta^4-2^{2} 3 x(3\\theta+1)(2\\theta+1)^2(3\\theta+2)", "superseek": "60 134292", "discriminant": "1 1 -432", "aesz": "5", "n_sing_complex": "0", "inst_int": null, "c2h": "60", "hash": "a6c4fb927cb2a4bb1103c1c739a252b0", "dim_h": "7", "inst": " 60 1869 134292 14016600 1806410976 266296492047 43088739232404 7465080466633896 1362691980781325904 259223846123852751912", "cleanlist": "True", "n_sing_real": "2", "sol_explicit": null, "n_sing_rational": "2", "n_sing": "2", "laurent": null, "discriminant_tex": "1-432z", "discr_factors": "-432, -1/432+z", "dm_basis": null, "q": "0 1 -108 3294 -198000 -12287187 -2488535784 -449797446126 -87255883668672 -17612292986209530", "yuk": "1 60 15012 3625944 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