{"count": 2, "status":"OK", "data":[{"pols": "[X^4, -288*X^4-360*X^3-381*X^2-201*X-42, 35073*X^4+85860*X^3+118881*X^2+83214*X+23472, -2340090*X^4-8424324*X^3-14284998*X^2-11871036*X-3875040, 92352636*X^4+435545424*X^3+869227524*X^2+817972992*X+293874480, -4251528*(X+1)*(507*X^3+2439*X^2+4306*X+2704), 306110016*(X+1)*(X+2)*(90*X^2+351*X+370), -148769467776*(X+1)*(X+2)^2*(X+3)]", "text": "This is operator \"7.9\" from ...", "degz": 7, "h3": null, "sol": "1 42 1872 86712 4126716 200324232 9870518664 491971281984 24744102202764 1253607240829272", "n_discr_factors": "3", "c3": null, "operator": "4 7 0 0 0 0 1 -42 -201 -381 -360 -288 23472 83214 118881 85860 35073 -3875040 -11871036 -14284998 -8424324 -2340090 293874480 817972992 869227524 435545424 92352636 -11496131712 -29803211280 -28676556360 -12525001488 -2155524696 226521411840 554671348992 490694355648 190094319936 27549901440 -1785233613312 -4165545097728 -3421697758848 -1190155742208 -148769467776", "new_number": "7.9", "id": 452, "operator_tex": "\\theta^4-3 x\\left(96\\theta^4+120\\theta^3+127\\theta^2+67\\theta+14\\right)+3^{2} x^{2}\\left(3897\\theta^4+9540\\theta^3+13209\\theta^2+9246\\theta+2608\\right)-2 3^{4} x^{3}\\left(14445\\theta^4+52002\\theta^3+88179\\theta^2+73278\\theta+23920\\right)+2^{2} 3^{6} x^{4}\\left(31671\\theta^4+149364\\theta^3+298089\\theta^2+280512\\theta+100780\\right)-2^{3} 3^{12} x^{5}(\\theta+1)(507\\theta^3+2439\\theta^2+4306\\theta+2704)+2^{6} 3^{14} x^{6}(\\theta+1)(\\theta+2)(90\\theta^2+351\\theta+370)-2^{7} 3^{19} x^{7}(\\theta+1)(\\theta+2)^2(\\theta+3)", "superseek": "-3 -245/3", "discriminant": "7 1 -288 35073 -2340090 92352636 -2155524696 27549901440 -148769467776", "aesz": null, "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "5641c09b76662b0741e41b41b0c6f105", "dim_h": null, "inst": " -3 69/4 -245/3 879 -11829 1987219/12 -2570790 43196640 -2285716376/3 55956638451/4", "cleanlist": "True", "n_sing_real": "4", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "4", "laurent": null, "discriminant_tex": "-(36z-1)^2(27z-1)^2(54z-1)^3", "discr_factors": "-148769467776, (z-1/54)^3, (z-1/36)^2, (z-1/27)^2", "dm_basis": null, "q": "0 1 -33 954 -26687 733938 -19944846 537750017 -14419345233 385065685188", "yuk": "1 -3 135 -2208 56391 -1478628 35767872 -881780973 22116736071 -555429081576", "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":"1/54","im":"0","approx_re":"0.0185185185185","approx_im":"0.0","exponents":["0","0","-1/3","1/3"],"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":"1/27","im":"0","approx_re":"0.037037037037","approx_im":"0.0","exponents":["0","1/3","2/3","1"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1","2","2","3"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[27*X^4, -459*X^4-1494*X^3-1134*X^2-387*X-54, -25695*X^4+15204*X^3+13137*X^2-15942*X-11088, 777736*X^4+684752*X^3+8336*X^2+1008520*X+682080, 2712240*X^4-823200*X^3+57764960*X^2+35666224*X+6024864, -3458155072*X^4-244315776*X^3-1473691520*X^2-1185556800*X-337231104, 3631716928*X^4-3772622848*X^3-582420288*X^2-6849187840*X-6092600064, 33551836672*X^4+219565689856*X^3+382787585024*X^2+438011182592*X+212883123200, -918965080064*X^4-2313307324416*X^3-3304453283840*X^2-2364431278080*X-668547985408, 3758670544896*X^4-13191506558976*X^3-52432732160000*X^2-78353568235520*X-41411452239872, 58086265454592*X^4+459745756446720*X^3+1169954558181376*X^2+1386842900922368*X+633342519410688, -623072352665600*X^4-2936628439941120*X^3-5338349808123904*X^2-3980806242435072*X-818759356907520, 174180083433472*X^4-10719066113179648*X^3-57384715685986304*X^2-102870942241259520*X-62307967860473856, 22777847147921408*X^4+219142812128509952*X^3+759935863567155200*X^2+1115686941153558528*X+598052754820169728, -83054222144176128*X^4-720545978687422464*X^3-210470162908839936*X^2-2391811523434512384*X-921480198581387264, -148544398869659648*X^4-1937292999415300096*X^3-10278468789347549184*X^2-21568418680598953984*X-14903066690647490560, 833579072557678592*X^4+12229326876031582208*X^3+61835770472735703040*X^2+119611004234481270784*X+77786759284677148672, 1329611923678822400*X^4-752013176840650752*X^3-53642295996772777984*X^2-137879820251342831616*X-98794488109545291776, -1869477630474977280*X^4-3384877332433993728*X^3+32601249839279243264*X^2+70617471300052975616*X+38860167003835990016, -26039742676712030208*X^4-25397346411114135552*X^3-707433310766705410048*X^2-606105978325566488576*X-47557695405683638272, 30203953850913652736*X^4+372749430358573842432*X^3+1010117426972509339648*X^2+958751621422535147520*X+257337653032787116032, 42239260905107881984*X^4+145304138377481682944*X^3+140134006005260353536*X^2+67346828827698397184*X+82436139379203244032, 128965078929381523456*X^4+919454899923960463360*X^3+2202674548949890629632*X^2+2272876659941341921280*X+899260759194831159296, -353802786726226165760*X^4-2157404365495562403840*X^3-4973415140497786142720*X^2-5142750486486916792320*X-2015450905240844369920, 28823037615171174400*(X+2)^4]", "text": "This is operator \"24.2\" from ...", "degz": 24, "h3": null, "sol": "1 2 42 184 2282 5628 96239312/729 55855548348032/1750329 1644342801196751/1750329 18880077162689759486/546852789", "n_discr_factors": "1", "c3": null, "operator": "4 24 0 0 0 0 27 -54 -387 -1134 -1494 -459 -11088 -15942 13137 15204 -25695 682080 1008520 8336 684752 777736 6024864 35666224 57764960 -823200 2712240 -337231104 -1185556800 -1473691520 -244315776 -3458155072 -6092600064 -6849187840 -582420288 -3772622848 3631716928 212883123200 438011182592 382787585024 219565689856 33551836672 -668547985408 -2364431278080 -3304453283840 -2313307324416 -918965080064 -41411452239872 -78353568235520 -52432732160000 -13191506558976 3758670544896 633342519410688 1386842900922368 1169954558181376 459745756446720 58086265454592 -818759356907520 -3980806242435072 -5338349808123904 -2936628439941120 -623072352665600 -62307967860473856 -102870942241259520 -57384715685986304 -10719066113179648 174180083433472 598052754820169728 1115686941153558528 759935863567155200 219142812128509952 22777847147921408 -921480198581387264 -2391811523434512384 -210470162908839936 -720545978687422464 -83054222144176128 -14903066690647490560 -21568418680598953984 -10278468789347549184 -1937292999415300096 -148544398869659648 77786759284677148672 119611004234481270784 61835770472735703040 12229326876031582208 833579072557678592 -98794488109545291776 -137879820251342831616 -53642295996772777984 -752013176840650752 1329611923678822400 38860167003835990016 70617471300052975616 32601249839279243264 -3384877332433993728 -1869477630474977280 -47557695405683638272 -606105978325566488576 -707433310766705410048 -25397346411114135552 -26039742676712030208 257337653032787116032 958751621422535147520 1010117426972509339648 372749430358573842432 30203953850913652736 82436139379203244032 67346828827698397184 140134006005260353536 145304138377481682944 42239260905107881984 899260759194831159296 2272876659941341921280 2202674548949890629632 919454899923960463360 128965078929381523456 -2015450905240844369920 -5142750486486916792320 -4973415140497786142720 -2157404365495562403840 -353802786726226165760 461168601842738790400 922337203685477580800 691752902764108185600 230584300921369395200 28823037615171174400", "new_number": "24.2", "id": 594, "operator_tex": "3^{3} \\theta^4-3^{2} x\\left(51\\theta^4+166\\theta^3+126\\theta^2+43\\theta+6\\right)-3 x^{2}\\left(8565\\theta^4-5068\\theta^3-4379\\theta^2+5314\\theta+3696\\right)+2^{3} x^{3}\\left(97217\\theta^4+85594\\theta^3+1042\\theta^2+126065\\theta+85260\\right)+2^{4} x^{4}\\left(169515\\theta^4-51450\\theta^3+3610310\\theta^2+2229139\\theta+376554\\right)-2^{6} x^{5}\\left(54033673\\theta^4+3817434\\theta^3+23026430\\theta^2+18524325\\theta+5269236\\right)+2^{6} x^{6}\\left(56745577\\theta^4-58947232\\theta^3-9100317\\theta^2-107018560\\theta-95196876\\right)+2^{9} x^{7}\\left(65530931\\theta^4+428839238\\theta^3+747632002\\theta^2+855490591\\theta+415787350\\right)-2^{12} x^{8}\\left(224356709\\theta^4+564772296\\theta^3+806751290\\theta^2+577253730\\theta+163219723\\right)+2^{15} x^{9}\\left(114705522\\theta^4-402572832\\theta^3-1600120000\\theta^2-2391161140\\theta-1263777229\\right)+2^{18} x^{10}\\left(221581518\\theta^4+1753790880\\theta^3+4463022454\\theta^2+5290385822\\theta+2416009977\\right)-2^{21} x^{11}\\left(297104050\\theta^4+1400293560\\theta^3+2545523552\\theta^2+1898196336\\theta+390414885\\right)+2^{24} x^{12}\\left(10381942\\theta^4-638906128\\theta^3-3420395594\\theta^2-6131585970\\theta-3713844291\\right)+2^{27} x^{13}\\left(169708186\\theta^4+1632741184\\theta^3+5661963400\\theta^2+8312515476\\theta+4455840251\\right)-2^{30} x^{14}\\left(77350272\\theta^4+671060736\\theta^3+196015614\\theta^2+2227548066\\theta+858195311\\right)-2^{33} x^{15}\\left(17292844\\theta^4+225530588\\theta^3+1196571252\\theta^2+2510894402\\theta+1734945305\\right)+2^{36} x^{16}\\left(12130172\\theta^4+177960128\\theta^3+899828890\\theta^2+1740569194\\theta+1131946327\\right)+2^{39} x^{17}\\left(2418550\\theta^4-1367904\\theta^3-97574768\\theta^2-250801932\\theta-179706127\\right)-2^{42} x^{18}\\left(425070\\theta^4+769632\\theta^3-7412666\\theta^2-16056554\\theta-8835779\\right)-2^{45} x^{19}\\left(740094\\theta^4+721836\\theta^3+20106464\\theta^2+17226568\\theta+1351671\\right)+2^{48} x^{20}\\left(107306\\theta^4+1324272\\theta^3+3588658\\theta^2+3406170\\theta+914247\\right)+2^{51} x^{21}\\left(18758\\theta^4+64528\\theta^3+62232\\theta^2+29908\\theta+36609\\right)+2^{54} x^{22}\\left(7159\\theta^4+51040\\theta^3+122273\\theta^2+126170\\theta+49919\\right)-2^{57} 5 x^{23}\\left(491\\theta^4+2994\\theta^3+6902\\theta^2+7137\\theta+2797\\right)+2^{60} 5^{2} x^{24}\\left((\\theta+2)^4\\right)", "superseek": "14/3 13813/81", "discriminant": "24 27 -459 -25695 777736 2712240 -3458155072 3631716928 33551836672 -918965080064 3758670544896 58086265454592 -623072352665600 174180083433472 22777847147921408 -83054222144176128 -148544398869659648 833579072557678592 1329611923678822400 -1869477630474977280 -26039742676712030208 30203953850913652736 42239260905107881984 128965078929381523456 -353802786726226165760 28823037615171174400", "aesz": null, "n_sing_complex": null, "inst_int": null, "c2h": null, "hash": "41744bc2b21cfd322eaaeeef9708f32d", "dim_h": null, "inst": " 14/3 -337/18 13813/81 -928499/486 16107365/729 272283275/1458 68612702703770116/16209796869 4763134242692933069/36294822144 -153019588965410453382539/39068256951738 17224514889324844923729119/144697247969400", "cleanlist": "True", "n_sing_real": null, "sol_explicit": null, "n_sing_rational": null, "n_sing": null, "laurent": null, "discriminant_tex": "27-459z+128965078929381523456z^22-353802786726226165760z^23+28823037615171174400z^24+3631716928z^6+33551836672z^7-918965080064z^8+3758670544896z^9+58086265454592z^10+833579072557678592z^16+1329611923678822400z^17-25695z^2+777736z^3+2712240z^4-3458155072z^5-1869477630474977280z^18-623072352665600z^11+174180083433472z^12+22777847147921408z^13-83054222144176128z^14-148544398869659648z^15-26039742676712030208z^19+30203953850913652736z^20+42239260905107881984z^21", "discr_factors": "28823037615171174400, -459/28823037615171174400*z+7159/1600*z^22-491/40*z^23+z^24+56745577/450359962737049600*z^6+65530931/56294995342131200*z^7-224356709/7036874417766400*z^8+57352761/439804651110400*z^9+110790759/54975581388800*z^10+3032543/104857600*z^16+48371/1048576*z^17-5139/5764607523034234880*z^2+97217/3602879701896396800*z^3+33903/360287970189639680*z^4-54033673/450359962737049600*z^5-42507/655360*z^18-5942081/274877906944*z^11+5190971/858993459200*z^12+84854093/107374182400*z^13-604299/209715200*z^14-4323211/838860800*z^15-370047/409600*z^19+53653/51200*z^20+9379/6400*z^21+27/28823037615171174400", "dm_basis": null, "q": "0 1 -19/3 80/3 -11681/81 789211/243 -57890 -1191745606/6561 -17712191469704105/330812181 148685137693504075/147027636", "yuk": "1 14/3 -1306/9 4609 -29747230/243 2013424027/729 1089253499/27 68612702924311570/47258883 9526251129572753248/141776649 -153019588718406891941441/53591573322", "gv2": null, "gv0": null, "gv1": null}]}