{"count": 3, "status":"OK", "data":[{"pols": "[X^4, -272-2560*X^4-3584*X^3-3200*X^2-1408*X, 4849664*X^3+4063232*X^4+5603328*X+1634304+6815744*X^2, -4630511616*X^3-4915724288*X^4-2273312768*X^2-1388314624-3825205248*X, 1451698946048*X^2-201863462912*X-490968449024+4054449127424*X^3+4462471020544*X^4, 588376159813632-151182848819200*X-3170991534505984*X^4-2306775395074048*X^3-3263900267053056*X^2, 1204149950368186368*X^3+1786803152159244288*X^4+20266198323167232+2563955562857365504*X^2+927600785749966848*X, -1301756465092187127808*X^2-721368573913696567296*X-166781805000411578368-754082721606915850240*X^4-791768843288752160768*X^3, 103354801201985404010496+222504627017084611592192*X^4+557774200556755712212992*X^2+398154524086946962079744*X^3+366057189398692342267904*X, -43426882176469257385148416*X^4-174737004599142612197179392*X^2-118323614594781830474366976*X^3-128183915811013649680564224*X-38830838997016375180918784, 5270916573519783201718927360*X^4+33226117226288468237624541184*X^2+8782241616590473639653015552+27070266952810776480020692992*X+19768355002338416264795389952*X^3, -3025525456013469391853459603456*X-356526731314189519170947776512*X^4-3347389866227668263327231901696*X^2-1723212534685249342659580919808*X^3-1057200793549714754763852087296, 633825300114114700748351602688*(2*X+3)^4]", "text": "This is operator \"12.16\" from ...", "degz": 12, "h3": null, "sol": "1 272 85264 30040320 11678489872 4930131546368 2225926107521280 1060372734498050048 527084515136924884240 271049118494892126241024", "n_discr_factors": "4", "c3": null, "operator": "4 12 0 0 0 0 1 -272 -1408 -3200 -3584 -2560 1634304 5603328 6815744 4849664 4063232 -1388314624 -3825205248 -2273312768 -4630511616 -4915724288 -490968449024 -201863462912 1451698946048 4054449127424 4462471020544 588376159813632 -151182848819200 -3263900267053056 -2306775395074048 -3170991534505984 20266198323167232 927600785749966848 2563955562857365504 1204149950368186368 1786803152159244288 -166781805000411578368 -721368573913696567296 -1301756465092187127808 -791768843288752160768 -754082721606915850240 103354801201985404010496 366057189398692342267904 557774200556755712212992 398154524086946962079744 222504627017084611592192 -38830838997016375180918784 -128183915811013649680564224 -174737004599142612197179392 -118323614594781830474366976 -43426882176469257385148416 8782241616590473639653015552 27070266952810776480020692992 33226117226288468237624541184 19768355002338416264795389952 5270916573519783201718927360 -1057200793549714754763852087296 -3025525456013469391853459603456 -3347389866227668263327231901696 -1723212534685249342659580919808 -356526731314189519170947776512 51339849309243290760616479817728 136906264824648775361643946180608 136906264824648775361643946180608 60847228810955011271841753858048 10141204801825835211973625643008", "new_number": "12.16", "id": 353, "operator_tex": "\\theta^4-2^{4} x\\left(160\\theta^4+224\\theta^3+200\\theta^2+88\\theta+17\\right)+2^{12} x^{2}\\left(992\\theta^4+1184\\theta^3+1664\\theta^2+1368\\theta+399\\right)-2^{22} x^{3}\\left(1172\\theta^4+1104\\theta^3+542\\theta^2+912\\theta+331\\right)+2^{28} x^{4}\\left(16624\\theta^4+15104\\theta^3+5408\\theta^2-752\\theta-1829\\right)-2^{37} x^{5}\\left(23072\\theta^4+16784\\theta^3+23748\\theta^2+1100\\theta-4281\\right)+2^{47} x^{6}\\left(12696\\theta^4+8556\\theta^3+18218\\theta^2+6591\\theta+144\\right)-2^{52} x^{7}\\left(167440\\theta^4+175808\\theta^3+289048\\theta^2+160176\\theta+37033\\right)+2^{61} x^{8}\\left(96496\\theta^4+172672\\theta^3+241896\\theta^2+158752\\theta+44823\\right)-2^{70} x^{9}\\left(36784\\theta^4+100224\\theta^3+148008\\theta^2+108576\\theta+32891\\right)+2^{79} x^{10}\\left(8720\\theta^4+32704\\theta^3+54968\\theta^2+44784\\theta+14529\\right)-2^{91} x^{11}\\left(144\\theta^4+696\\theta^3+1352\\theta^2+1222\\theta+427\\right)+2^{99} x^{12}\\left((2\\theta+3)^4\\right)", "superseek": "288 -8252768", "discriminant": "12 1 -2560 4063232 -4915724288 4462471020544 -3170991534505984 1786803152159244288 -754082721606915850240 222504627017084611592192 -43426882176469257385148416 5270916573519783201718927360 -356526731314189519170947776512 10141204801825835211973625643008", "aesz": null, "n_sing_complex": "2", "inst_int": "", "c2h": null, "hash": "e5412f8624ff9afc10459abda2d297d0", "dim_h": null, "inst": " 288 59200 -8252768 -1223488576 585571467872 7905205372480 -47910168596100064 6257751239427259328 3753960547531267469056 -1241265050509255966110784", "cleanlist": "True", "n_sing_real": "6", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "8", "laurent": null, "discriminant_tex": "(512z-1)(65536z^2-768z+1)(134217728z^3-655360z^2+256z-1)^2(256z-1)^3", "discr_factors": "10141204801825835211973625643008, z^2-3/256*z+1/65536, (z^3-5/1024*z^2+1/524288*z-1/134217728)^2, (z-1/256)^3, z-1/512", "dm_basis": null, "q": "0 1 -320 51296 3893248 -3585597904 128640522240 345118236566016 -68798552075272192 -30088208380065850728", "yuk": "1 288 473888 -222824448 -78302794976 73196433484288 1707524138104832 -16433187828462321664 3203968634508453980960 2736637239150293762117376", "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":"-1/6144*(188+3*3165^(1/2))^(1/3)-19/6144/(188+3*3165^(1/2))^(1/3)+5/3072","im":"-1/512*3^(1/2)*(1/12*(188+3*3165^(1/2))^(1/3)-19/12/(188+3*3165^(1/2))^(1/3))","approx_re":"3.7e-05","approx_im":"-0.001244","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/6144*(188+3*3165^(1/2))^(1/3)-19/6144/(188+3*3165^(1/2))^(1/3)+5/3072","im":"1/512*3^(1/2)*(1/12*(188+3*3165^(1/2))^(1/3)-19/12/(188+3*3165^(1/2))^(1/3))","approx_re":"3.7e-05","approx_im":"0.001244","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"3/512-1/512*5^(1/2)","im":"0","approx_re":"0.001492","approx_im":"0.0","exponents":["0","1","1","2"],"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":"1/256","im":"0","approx_re":"0.00390625","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"1/3072*(188+3*3165^(1/2))^(1/3)+19/3072/(188+3*3165^(1/2))^(1/3)+5/3072","im":"0","approx_re":"0.004808","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"3/512+1/512*5^(1/2)","im":"0","approx_re":"0.010227","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, 240+1152*X+1920*X^2+1536*X^3+5376*X^4, 1351680+6422528*X+13074432*X^2+10747904*X^3+11534336*X^4, 4680843264+18685624320*X+32602324992*X^2+26273120256*X^3+12431917056*X^4, 8585371189248+30062623588352*X+44328357462016*X^2+29807073034240*X^3+6567004995584*X^4, 8918413690798080+27747275438555136*X+34585138251694080*X^2+16189209207373824*X^3+712483534798848*X^4, 5349643038618550272+14475976577252327424*X+14449517929441525760*X^2+2567051787601182720*X^3-1022317115413102592*X^4, 1733165280597261680640+3722927653563584741376*X+2185939172734581866496*X^2-1478621829658281246720*X^3-524002823843811950592*X^4, 216989050539045455659008+141449633557204841791488*X-476147358030590946312192*X^2-780961357104567577214976*X^3-63751947518740210384896*X^4, -18870576465547102273929216-118833630174931752157446144*X-186042349959132542838767616*X^2-102003116029984336615833600*X^3+21987338344241068114968576*X^4, -3231458715829903783989608448-6441156766906744242834505728*X+2611279770367599017365340160*X^2+12882313533813488485669011456*X^3+8530180583200823456726777856*X^4, 267395048485642139378210832384*(4*X^2+8*X+5)*(X+1)^2, 11408855402054064613470328848384*(X+2)*(X+1)*(2*X+3)^2]", "text": "This is operator \"12.8\" from ...", "degz": 12, "h3": null, "sol": "1 -240 68880 -22281984 7875829008 -2976620302080 1183491503120640 -488985507436032000 208051568598734937360 -90553516446640666648320", "n_discr_factors": "4", "c3": null, "operator": "4 12 0 0 0 0 1 240 1152 1920 1536 5376 1351680 6422528 13074432 10747904 11534336 4680843264 18685624320 32602324992 26273120256 12431917056 8585371189248 30062623588352 44328357462016 29807073034240 6567004995584 8918413690798080 27747275438555136 34585138251694080 16189209207373824 712483534798848 5349643038618550272 14475976577252327424 14449517929441525760 2567051787601182720 -1022317115413102592 1733165280597261680640 3722927653563584741376 2185939172734581866496 -1478621829658281246720 -524002823843811950592 216989050539045455659008 141449633557204841791488 -476147358030590946312192 -780961357104567577214976 -63751947518740210384896 -18870576465547102273929216 -118833630174931752157446144 -186042349959132542838767616 -102003116029984336615833600 21987338344241068114968576 -3231458715829903783989608448 -6441156766906744242834505728 2611279770367599017365340160 12882313533813488485669011456 8530180583200823456726777856 1336975242428210696891054161920 4813110872741558508807794982912 6684876212141053484455270809600 4278320775770274230051373318144 1069580193942568557512843329536 205359397236973163042465919270912 581851625504757295286986771267584 604669336308865424513927428964352 273812529649297550723287892361216 45635421608216258453881315393536", "new_number": "12.8", "id": 360, "operator_tex": "\\theta^4+2^{4} 3 x\\left(112\\theta^4+32\\theta^3+40\\theta^2+24\\theta+5\\right)+2^{13} x^{2}\\left(1408\\theta^4+1312\\theta^3+1596\\theta^2+784\\theta+165\\right)+2^{22} 3 x^{3}\\left(988\\theta^4+2088\\theta^3+2591\\theta^2+1485\\theta+372\\right)+2^{28} x^{4}\\left(24464\\theta^4+111040\\theta^3+165136\\theta^2+111992\\theta+31983\\right)+2^{38} 3^{2} x^{5}\\left(288\\theta^4+6544\\theta^3+13980\\theta^2+11216\\theta+3605\\right)-2^{46} x^{6}\\left(14528\\theta^4-36480\\theta^3-205340\\theta^2-205716\\theta-76023\\right)-2^{55} 3 x^{7}\\left(4848\\theta^4+13680\\theta^3-20224\\theta^2-34444\\theta-16035\\right)-2^{64} 3^{2} x^{8}\\left(384\\theta^4+4704\\theta^3+2868\\theta^2-852\\theta-1307\\right)+2^{74} 3 x^{9}\\left(388\\theta^4-1800\\theta^3-3283\\theta^2-2097\\theta-333\\right)+2^{80} 3^{2} x^{10}\\left(784\\theta^4+1184\\theta^3+240\\theta^2-592\\theta-297\\right)+2^{93} 3^{3} x^{11}(4\\theta^2+8\\theta+5)(\\theta+1)^2+2^{100} 3^{2} x^{12}(\\theta+2)(\\theta+1)(2\\theta+3)^2", "superseek": "288 12718752", "discriminant": "12 1 5376 11534336 12431917056 6567004995584 712483534798848 -1022317115413102592 -524002823843811950592 -63751947518740210384896 21987338344241068114968576 8530180583200823456726777856 1069580193942568557512843329536 45635421608216258453881315393536", "aesz": null, "n_sing_complex": "3", "inst_int": "", "c2h": null, "hash": "3373bbe821cc39369e8ba8c46ec88532", "dim_h": null, "inst": " 288 -71872 12718752 -4499223616 1510063178336 -613603380869568 255458414844660768 -114105705094996919360 52474211351785220042496 -24986192330547118925460544", "cleanlist": "True", "n_sing_real": "5", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "8", "laurent": null, "discriminant_tex": "(1+768z+65536z^2)(256z+1)^2(512z+1)^2(201326592z^3-1536z-1)^2", "discr_factors": "45635421608216258453881315393536, (z^3-1/131072*z-1/201326592)^2, (z+1/512)^2, (z+1/256)^2, 1/65536+3/256*z+z^2", "dm_basis": null, "q": "0 1 192 51296 8185856 3551010352 100668758016 396243551740416 -88674484154925056 74550062959638239896", "yuk": "1 288 -574688 343406592 -287950886112 188757897292288 -132538329924995072 87622236291718643712 -58422121008926373598432 38253700075451425754386176", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-3/512-1/512*5^(1/2)","im":"0","approx_re":"-0.010227","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","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/3072*(9+3*I*15^(1/2))^(1/3)-1/512/(9+3*I*15^(1/2))^(1/3)+1/512*I*3^(1/2)*(1/6*(9+3*I*15^(1/2))^(1/3)-1/(9+3*I*15^(1/2))^(1/3))","im":"0","approx_re":"-0.002348","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/512","im":"0","approx_re":"-0.001953125","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"-3/512+1/512*5^(1/2)","im":"0","approx_re":"-0.001492","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/3072*(9+3*I*15^(1/2))^(1/3)-1/512/(9+3*I*15^(1/2))^(1/3)-1/512*I*3^(1/2)*(1/6*(9+3*I*15^(1/2))^(1/3)-1/(9+3*I*15^(1/2))^(1/3))","im":"0","approx_re":"-0.000695","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":"1/1536*(9+3*I*15^(1/2))^(1/3)+1/256/(9+3*I*15^(1/2))^(1/3)","im":"0","approx_re":"0.003043","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, -3072*X^4-5632*X^3-6272*X^2-3456*X-784, 5373952*X^4+11927552*X^3+21823488*X^2+20348928*X+7278592, -6996099072*X^4-15435038720*X^3-25694306304*X^2-29444014080*X-13147045888, 6979321856000*X^4+16492674416640*X^3+24829205938176*X^2+21264383082496*X+8229962645504, -5455776697024512*X^4-13521793998389248*X^3-23943514962264064*X^2-16901142986358784*X-4160826877411328, 3410350817826308096*X^4+8879409615314354176*X^3+17519565500424650752*X^2+14384637947309719552*X+4272156827770159104, -1668925935512448925696*X^4-5067666473499395883008*X^3-9953135320473890979840*X^2-9330737851971288432640*X-3496202937522871861248, 608594980479825526915072*X^4+2347901585701751729684480*X^3+4756972574751924332527616*X^2+4828914876639391583830016*X+2016063106559790605664256, -157349251209216578520350720*X^4-777868207058287959600005120*X^3-1755416958478235997415931904*X^2-1954020803281801796523130880*X-882527654234886471648542720, 27505480247872042982914916352*X^4+169288300372275752592455237632*X^3+437843917644747935978383998976*X^2+542314451272565730739792904192*X+266575396779943420797760045056, -3055236016956318518451038584832*X^4-22639447438451034467355183808512*X^3-66915610883531945379397260804096*X^2-92068076601732301804797666787328*X-49245564247782248680555886411776, 192682891234690869027498887217152*X^4+1673298792301262809975648231096320*X^3+5592874448206948119403454542118912*X^2+8490723720328680531224918069608448*X+4920385804785872421909453491666944, -324518553658426726783156020576256*(2*X+5)^4]", "text": "This is operator \"13.2\" from ...", "degz": 13, "h3": null, "sol": "1 784 486672 279216384 154637278480 84104418128128 45287388189122816 24247515487328931840 12941812444649337986320 6897257090155353175236864", "n_discr_factors": "4", "c3": null, "operator": "4 13 0 0 0 0 1 -784 -3456 -6272 -5632 -3072 7278592 20348928 21823488 11927552 5373952 -13147045888 -29444014080 -25694306304 -15435038720 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4920385804785872421909453491666944 8490723720328680531224918069608448 5592874448206948119403454542118912 1673298792301262809975648231096320 192682891234690869027498887217152 -202824096036516704239472512860160000 -324518553658426726783156020576256000 -194711132195056036069893612345753600 -51922968585348276285304963292200960 -5192296858534827628530496329220096", "new_number": "13.2", "id": 370, "operator_tex": "\\theta^4-2^{4} x\\left(192\\theta^4+352\\theta^3+392\\theta^2+216\\theta+49\\right)+2^{12} x^{2}\\left(1312\\theta^4+2912\\theta^3+5328\\theta^2+4968\\theta+1777\\right)-2^{21} x^{3}\\left(3336\\theta^4+7360\\theta^3+12252\\theta^2+14040\\theta+6269\\right)+2^{28} x^{4}\\left(26000\\theta^4+61440\\theta^3+92496\\theta^2+79216\\theta+30659\\right)-2^{38} x^{5}\\left(19848\\theta^4+49192\\theta^3+87106\\theta^2+61486\\theta+15137\\right)+2^{46} x^{6}\\left(48464\\theta^4+126184\\theta^3+248968\\theta^2+204418\\theta+60711\\right)-2^{52} 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