{"count": 6, "status":"OK", "data":[{"pols": "[X^4, -4*(4*X+1)*(4*X+3)*(10*X^2+10*X+3), 144*(4*X+1)*(4*X+3)*(4*X+5)*(4*X+7)]", "text": "Hadamard product $C\\ast c$", "degz": 2, "h3": "12", "sol": "1 36 6300 1718640 575675100 216636756336 87874675224336 37563969509352000 16692217815436148700 7642084994921759382000", "n_discr_factors": "2", "c3": "-224", "operator": "4 2 0 0 0 0 1 -36 -312 -952 -1280 -640 15120 101376 198144 147456 36864", "new_number": "2.11", "id": 2, "operator_tex": "\\theta^4-2^{2} x(4\\theta+1)(4\\theta+3)(10\\theta^2+10\\theta+3)+2^{4} 3^{2} x^{2}(4\\theta+1)(4\\theta+3)(4\\theta+5)(4\\theta+7)", "superseek": "64 246848", "discriminant": "2 1 -640 36864", "aesz": "69", "n_sing_complex": "0", "inst_int": "", "c2h": "72", "hash": "729adc350de26d9415643078ed8d3867", "dim_h": "8", "inst": " 64 2616 246848 32024824 5160268864 951777326520 192563937712192 41708381444805880 9517654613752418368 2263204057578067144632", "cleanlist": "True", "n_sing_real": "3", "sol_explicit": "A_n=\\dbinom{2n}{n}\\dbinom{4n}{2n}\\sum_{k=0}^{n}\\dbinom{n}{k}^2\\dbinom{2k}{k}", "n_sing_rational": "3", "n_sing": "3", "laurent": null, "discriminant_tex": "(576z-1)(64z-1)", "discr_factors": "36864, z-1/576, z-1/64", "dm_basis": ["-224*lambda", "5", "1", "1", "-3", "-6", "-1", "0", "0", "12", "0", "0", "-12", "0", "0", "0"], "q": "0 1 -168 14124 -1462208 78268110 -14975497440 -813107957064 -407022651161088 -86618851756321563", "yuk": "1 64 20992 6664960 2049609728 645033608064 205583909214208 66049430635281920 21354691301790220288 6938370213425519655232", "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","12","1","0","0","0","1","1"]},{"re":"1/576","im":"0","approx_re":"0.00173611111111","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":["1+224*lambda","0","56*lambda",".98194154e-1","3","1","3/4","-56*lambda","0","0","1","0","12","0","3","1-224*lambda"],"monodromy_dm":["1","-8","-1","-1","0","1","0","0","0","0","1","0","0","0","0","1"]},{"re":"1/64","im":"0","approx_re":"0.015625","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":["4.+3.256527087*I","-1-224*lambda","3/4+168*lambda",".44582463e-1-112*lambda","9","-2","9/4","-3/4-168*lambda","12","-4","4","-1-224*lambda","36","-12","9","-2.-3.256527087*I"],"monodromy_dm":["-5","-30","-4","-3","2","11","1333333/1000000","1","-12","-60","-7","-6","8","40","5333333/1000000","5"]},{"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, -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, 32*X*(4*X^3-10*X^2-6*X-1), -23552*X^4-63488*X^3-51200*X^2-58368*X-22784, -1376256*X^4-5505024*X^3-10878976*X^2-2162688*X+835584, 247463936*X^4+343932928*X^3+2340421632*X^2+1935671296*X+672923648, -11811160064*X^4+97710505984*X^3+233337520128*X^2+255953207296*X+116836532224, -927712935936*X^4-5153960755200*X^3-2473901162496*X^2-5643587026944*X-2993592205312, 125344325566464*X^4+171523813933056*X^3-847998342922240*X^2-1536567499816960*X-849097854550016, -1548112371908608*X^4+31806672368304128*X^3+21145807625388032*X^2+2533274790395904*X-9033587533807616, -234187180623265792*X^4-2053641430080946176*X^3-2905947659560812544*X^2-1614540466412322816*X-82190693199511552, 17582052945254416384*X^4-6341068275337658368*X^3-103474705038464516096*X^2-144835764016235151360*X-59087227111100907520, -92233720368547758080*X^4+737869762948382064640*X^3+3343472363359856230400*X^2+4381101717506018508800*X+1890791267555229040640, -1844674407370955161600*(2*X+3)^4]", "text": "This is operator \"12.2\" from ...", "degz": 12, "h3": null, "sol": "1 0 1424 13312 4213008 100583424 16977541376 697797427200 85437487152400 4947452599603200", "n_discr_factors": "4", "c3": null, "operator": "4 12 0 0 0 0 1 0 -32 -192 -320 128 -22784 -58368 -51200 -63488 -23552 835584 -2162688 -10878976 -5505024 -1376256 672923648 1935671296 2340421632 343932928 247463936 116836532224 255953207296 233337520128 97710505984 -11811160064 -2993592205312 -5643587026944 -2473901162496 -5153960755200 -927712935936 -849097854550016 -1536567499816960 -847998342922240 171523813933056 125344325566464 -9033587533807616 2533274790395904 21145807625388032 31806672368304128 -1548112371908608 -82190693199511552 -1614540466412322816 -2905947659560812544 -2053641430080946176 -234187180623265792 -59087227111100907520 -144835764016235151360 -103474705038464516096 -6341068275337658368 17582052945254416384 1890791267555229040640 4381101717506018508800 3343472363359856230400 737869762948382064640 -92233720368547758080 -149418626997047368089600 -398449671992126314905600 -398449671992126314905600 -177088743107611695513600 -29514790517935282585600", "new_number": "12.2", "id": 356, "operator_tex": "\\theta^4+2^{5} x\\theta(4\\theta^3-10\\theta^2-6\\theta-1)-2^{8} x^{2}\\left(92\\theta^4+248\\theta^3+200\\theta^2+228\\theta+89\\right)-2^{14} x^{3}\\left(84\\theta^4+336\\theta^3+664\\theta^2+132\\theta-51\\right)+2^{18} x^{4}\\left(944\\theta^4+1312\\theta^3+8928\\theta^2+7384\\theta+2567\\right)-2^{26} x^{5}\\left(176\\theta^4-1456\\theta^3-3477\\theta^2-3814\\theta-1741\\right)-2^{32} x^{6}\\left(216\\theta^4+1200\\theta^3+576\\theta^2+1314\\theta+697\\right)+2^{38} x^{7}\\left(456\\theta^4+624\\theta^3-3085\\theta^2-5590\\theta-3089\\right)-2^{43} x^{8}\\left(176\\theta^4-3616\\theta^3-2404\\theta^2-288\\theta+1027\\right)-2^{50} x^{9}\\left(208\\theta^4+1824\\theta^3+2581\\theta^2+1434\\theta+73\\right)+2^{57} x^{10}\\left(122\\theta^4-44\\theta^3-718\\theta^2-1005\\theta-410\\right)-2^{62} 5 x^{11}\\left(4\\theta^4-32\\theta^3-145\\theta^2-190\\theta-82\\right)-2^{66} 5^{2} x^{12}\\left((2\\theta+3)^4\\right)", "superseek": "64 39744", "discriminant": "12 1 128 -23552 -1376256 247463936 -11811160064 -927712935936 125344325566464 -1548112371908608 -234187180623265792 17582052945254416384 -92233720368547758080 -29514790517935282585600", "aesz": null, "n_sing_complex": "2", "inst_int": "", "c2h": null, "hash": "b92032007ecbbf3af5801c4b1e4cf97a", "dim_h": null, "inst": " 64 -692 39744 -2001358 95440576 -5132789668 318422804032 -20259691862710 1306803344834048 -87030663571111804", "cleanlist": "True", "n_sing_real": "6", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "8", "laurent": null, "discriminant_tex": "-(-1+64z+4096z^2)(64z-1)^2(64z+1)^2(655360z^3-4096z^2+96z+1)^2", "discr_factors": "-29514790517935282585600, (z+1/64)^2, (z-1/64)^2, -1/4096+1/64*z+z^2, (z^3-1/160*z^2+3/20480*z+1/655360)^2", "dm_basis": null, "q": "0 1 -32 -96 34816 -330448 -52472832 1797613056 -2692546560 1991246120600", "yuk": "1 64 -5472 1073152 -128092384 11930072064 -1108681500672 109219021783040 -10372962361799904 952659638385094144", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/128-1/128*5^(1/2)","im":"0","approx_re":"-0.025282","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","0","1","1"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/960*(802+15*3165^(1/2))^(1/3)+41/960/(802+15*3165^(1/2))^(1/3)+1/480","im":"0","approx_re":"-0.006598","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":"1/1920*(802+15*3165^(1/2))^(1/3)-41/1920/(802+15*3165^(1/2))^(1/3)+1/480","im":"1/64*3^(1/2)*(-1/30*(802+15*3165^(1/2))^(1/3)-41/30/(802+15*3165^(1/2))^(1/3))","approx_re":"0.006424","approx_im":"-0.013784","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"1/1920*(802+15*3165^(1/2))^(1/3)-41/1920/(802+15*3165^(1/2))^(1/3)+1/480","im":"-1/64*3^(1/2)*(-1/30*(802+15*3165^(1/2))^(1/3)-41/30/(802+15*3165^(1/2))^(1/3))","approx_re":"0.006424","approx_im":"0.013784","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/128+1/128*5^(1/2)","im":"0","approx_re":"0.009657","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":["3/2","3/2","3/2","3/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, 48+224*X+352*X^2+256*X^3+896*X^4, 35840+178176*X+355328*X^2+278528*X^3+315392*X^4, 18087936+73924608*X+123994112*X^2+100663296*X^3+55574528*X^4, 4160749568+15166603264*X+21944598528*X^2+15569256448*X^3+5167382528*X^4, 34359738368*(7*X^2+17*X+13)*(X+1)^2, 4398046511104*(X+1)^2*(X+2)^2]", "text": "This is operator \"6.15\" from ...", "degz": 6, "h3": null, "sol": "1 -48 3088 -231168 19207440 -1725512448 164534857984 -16421904052224 1697528370486544 -180303323253277440", "n_discr_factors": "3", "c3": null, "operator": "4 6 0 0 0 0 1 48 224 352 256 896 35840 178176 355328 278528 315392 18087936 73924608 123994112 100663296 55574528 4160749568 15166603264 21944598528 15569256448 5167382528 446676598784 1477468749824 1855425871872 1065151889408 240518168576 17592186044416 52776558133248 57174604644352 26388279066624 4398046511104", "new_number": "6.15", "id": 398, "operator_tex": "\\theta^4+2^{4} x\\left(56\\theta^4+16\\theta^3+22\\theta^2+14\\theta+3\\right)+2^{10} x^{2}\\left(308\\theta^4+272\\theta^3+347\\theta^2+174\\theta+35\\right)+2^{18} x^{3}\\left(212\\theta^4+384\\theta^3+473\\theta^2+282\\theta+69\\right)+2^{26} x^{4}\\left(77\\theta^4+232\\theta^3+327\\theta^2+226\\theta+62\\right)+2^{35} x^{5}(7\\theta^2+17\\theta+13)(\\theta+1)^2+2^{42} x^{6}(\\theta+1)^2(\\theta+2)^2", "superseek": "64 76608", "discriminant": "6 1 896 315392 55574528 5167382528 240518168576 4398046511104", "aesz": null, "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "0130ee676bad42a2e117bca3367f8cf0", "dim_h": null, "inst": " 64 -1732 76608 -4429212 296488640 -21825120372 1717018912320 -141880104014716 12174942318185984 -1076499728934938412", "cleanlist": "True", "n_sing_real": "4", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "4", "laurent": null, "discriminant_tex": "(64z+1)^2(128z+1)^2(256z+1)^2", "discr_factors": "4398046511104, (z+1/64)^2, (z+1/128)^2, (z+1/256)^2", "dm_basis": null, "q": "0 1 32 992 10240 1229872 -66671616 7069121024 -658220711936 64281432183448", "yuk": "1 64 -13792 2068480 -283483360 37061080064 -4714223945728 588937486925824 -72642613539017952 8875532949959650816", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/64","im":"0","approx_re":"-0.015625","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/128","im":"0","approx_re":"-0.0078125","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/256","im":"0","approx_re":"-0.00390625","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":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1","1","2","2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -18-94*X-199*X^2-210*X^3-105*X^4, 5700+19672*X+26596*X^2+16760*X^3+4190*X^4, -387468-1074492*X-1106604*X^2-498960*X^3-83160*X^4, 9869688+23581152*X+19871352*X^2+6988032*X^3+873504*X^4, -75600*(X+4)*(X+1)*(61*X^2+305*X+345), 9525600*(X+5)*(X+4)*(X+2)*(X+1)]", "text": "This is operator \"6.18\" from ...", "degz": 6, "h3": null, "sol": "1 18 348 7320 168840 4267728 117154464 3444623424 106919286840 3460118502000", "n_discr_factors": "6", "c3": null, "operator": "4 6 0 0 0 0 1 -18 -94 -199 -210 -105 5700 19672 26596 16760 4190 -387468 -1074492 -1106604 -498960 -83160 9869688 23581152 19871352 6988032 873504 -104328000 -222642000 -159818400 -46116000 -4611600 381024000 742996800 466754400 114307200 9525600", "new_number": "6.18", "id": 401, "operator_tex": "\\theta^4-x\\left(18+94\\theta+199\\theta^2+210\\theta^3+105\\theta^4\\right)+2 x^{2}\\left(2095\\theta^4+8380\\theta^3+13298\\theta^2+9836\\theta+2850\\right)-2^{2} 3^{2} x^{3}\\left(2310\\theta^4+13860\\theta^3+30739\\theta^2+29847\\theta+10763\\right)+2^{3} 3^{3} x^{4}\\left(4044\\theta^4+32352\\theta^3+91997\\theta^2+109172\\theta+45693\\right)-2^{4} 3^{3} 5^{2} 7 x^{5}(\\theta+4)(\\theta+1)(61\\theta^2+305\\theta+345)+2^{5} 3^{5} 5^{2} 7^{2} x^{6}(\\theta+5)(\\theta+4)(\\theta+2)(\\theta+1)", "superseek": "3 64", "discriminant": "6 1 -105 4190 -83160 873504 -4611600 9525600", "aesz": null, "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "b127e33287ed87a366c178fc4678cdc4", "dim_h": null, "inst": " 3 -4 64 -253 4292 -25608 442008 -3202512 56565002 -457852636", "cleanlist": "True", "n_sing_real": "7", "sol_explicit": "", "n_sing_rational": "7", "n_sing": "7", "laurent": null, "discriminant_tex": "(6z-1)(15z-1)(14z-1)(42z-1)(18z-1)(10z-1)", "discr_factors": "9525600, z-1/18, z-1/6, z-1/10, z-1/15, z-1/14, z-1/42", "dm_basis": null, "q": "0 1 -22 452 -9472 198028 -4152896 87080620 -1827509984 38353260838", "yuk": "1 3 -29 1731 -16221 536503 -5529629 151608747 -1639702365 41235888189", "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":"1/42","im":"0","approx_re":"0.0238095238095","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/18","im":"0","approx_re":"0.0555555555556","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/15","im":"0","approx_re":"0.0666666666667","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/14","im":"0","approx_re":"0.0714285714286","approx_im":"0.0","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":"1/6","im":"0","approx_re":"0.166666666667","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","4","5"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, X*(39*X^3-30*X^2-19*X-4), 32*X^4-2140*X^3-2114*X^2-1352*X-384, -36*(3*X+2)*(171*X^3+566*X^2+600*X+316), -331776*X^4-1332288*X^3-2276640*X^2-1877472*X-606528, -1728*(X+1)*(1393*X^3+5571*X^2+8378*X+4584), -248832*(X+1)*(X+2)*(31*X^2+105*X+98), -8957952*(X+1)*(X+2)^2*(X+3)]", "text": "This is operator \"7.3\" from ...", "degz": 7, "h3": null, "sol": "1 0 24 192 3384 51840 911040 16369920 307009080 5902176000", "n_discr_factors": "6", "c3": null, "operator": "4 7 0 0 0 0 1 0 -4 -19 -30 39 -384 -1352 -2114 -2140 32 -22752 -77328 -105552 -73440 -18468 -606528 -1877472 -2276640 -1332288 -331776 -7921152 -22398336 -24103872 -12033792 -2407104 -48771072 -125411328 -118195200 -49268736 -7713792 -107495424 -250822656 -206032896 -71663616 -8957952", "new_number": "7.3", "id": 446, "operator_tex": "\\theta^4+x\\theta(39\\theta^3-30\\theta^2-19\\theta-4)+2 x^{2}\\left(16\\theta^4-1070\\theta^3-1057\\theta^2-676\\theta-192\\right)-2^{2} 3^{2} x^{3}(3\\theta+2)(171\\theta^3+566\\theta^2+600\\theta+316)-2^{5} 3^{3} x^{4}\\left(384\\theta^4+1542\\theta^3+2635\\theta^2+2173\\theta+702\\right)-2^{6} 3^{3} x^{5}(\\theta+1)(1393\\theta^3+5571\\theta^2+8378\\theta+4584)-2^{10} 3^{5} x^{6}(\\theta+1)(\\theta+2)(31\\theta^2+105\\theta+98)-2^{12} 3^{7} x^{7}(\\theta+1)(\\theta+2)^2(\\theta+3)", "superseek": "3 64", "discriminant": "7 1 39 32 -18468 -331776 -2407104 -7713792 -8957952", "aesz": null, "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "8413250555ca536f1bdccfeed506ea4e", "dim_h": null, "inst": " 3 -4 64 -253 4292 -25608 442008 -3202512 56565002 -457852636", "cleanlist": "True", "n_sing_real": "7", "sol_explicit": "", "n_sing_rational": "7", "n_sing": "7", "laurent": null, "discriminant_tex": "-(8z+1)(24z-1)(3z+1)(4z+1)(12z+1)(1+18z)^2", "discr_factors": "-8957952, z+1/4, z+1/3, z+1/8, (1/18+z)^2, z+1/12, z-1/24", "dm_basis": null, "q": "0 1 -4 -16 -40 604 -9872 56092 -1429424 10490134", "yuk": "1 3 -29 1731 -16221 536503 -5529629 151608747 -1639702365 41235888189", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"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":"-1/8","im":"0","approx_re":"-0.125","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":"-1/18","im":"0","approx_re":"-0.0555555555556","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":"1/24","im":"0","approx_re":"0.0416666666667","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","2","3"],"monodromy":[],"monodromy_dm":[]}]}]}