-
lfunc_lfunctions • Show schema
Hide schema
{'Lhash': '214278058452243778774016181297,451520774713460951965851204480,689066959299771449217981964306,969890272051416624809323820669,1522639650593269975830500427312,2000159316334155749995540843455', 'a10': 0, 'a2': 0, 'a3': 0, 'a4': -3, 'a5': 0, 'a6': 0, 'a7': -6, 'a8': 0, 'a9': 0, 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 353450046.49110633, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [1, 0, 3, 0, 3, 0, 1]], [3, [1]], [5, [1, 0, 3, 0, 3, 0, 1]], [37, [1, 2, 31, 116, 1147, 2738, 50653]]], 'bad_primes': [2, 3, 5, 37], 'central_character': '3330.1', 'coefficient_field': '1.1.1.1', 'conductor': 1363532208525369000000, 'conductor_radical': 1110, 'degree': 12, 'euler_factors': [[1, 0, 3, 0, 3, 0, 1], [1], [1, 0, 3, 0, 3, 0, 1], [1, 6, 31, 118, 431, 1328, 3938, 9296, 21119, 40474, 74431, 100842, 117649], [1, 6, 55, 254, 1383, 4912, 19842, 54032, 167343, 338074, 805255, 966306, 1771561], [1, 0, -25, 0, 119, 0, 1026, 0, 20111, 0, -714025, 0, 4826809], [1, 0, 19, 0, 771, 0, 8674, 0, 222819, 0, 1586899, 0, 24137569], [1, 0, -61, 0, 1727, 0, -35238, 0, 623447, 0, -7949581, 0, 47045881], [1, 0, -25, 0, 419, 0, -774, 0, 221651, 0, -6996025, 0, 148035889], [1, 0, -162, 0, 11271, 0, -429948, 0, 9478911, 0, -114579522, 0, 594823321], [1, 0, -66, 0, 2111, 0, -63356, 0, 2028671, 0, -60952386, 0, 887503681], [1, 2, 31, 116, 1147, 2738, 50653], [1, -12, 306, -2620, 35295, -221592, 2003324, -9085272, 59330895, -180573020, 864682866, -1390274412, 4750104241], [1, 0, -94, 0, 6055, 0, -331108, 0, 11195695, 0, -321367294, 0, 6321363049], [1, -24, 418, -5192, 54495, -468400, 3514428, -22014800, 120379455, -539049016, 2039706658, -5504280168, 10779215329], [1, 6, 307, 1514, 39855, 156616, 2797722, 8300648, 111952695, 225399778, 2422377667, 2509172958, 22164361129], [1, 0, -170, 0, 15207, 0, -990668, 0, 52935567, 0, -2059951370, 0, 42180533641], [1, 0, -354, 0, 52935, 0, -4277500, 0, 196971135, 0, -4901427714, 0, 51520374361], [1, 0, -14, -512, -889, 3584, 673628, 240128, -3990721, -153990656, -282115694, 0, 90458382169], [1, -20, 142, 516, -5937, -110984, 2005668, -7879864, -29928417, 184682076, 3608458702, -36084587020, 128100283921], [1, 26, 551, 7858, 101963, 1053444, 9996378, 76901412, 543360827, 3056895586, 15647430791, 53899861418, 151334226289], [1, 0, -226, 0, 28063, 0, -2568124, 0, 175141183, 0, -8802718306, 0, 243087455521], [1, 14, 411, 4154, 74147, 599988, 7913122, 49799004, 510798683, 2375203198, 19505369931, 55146569002, 326940373369], [1, 0, -225, 0, 27615, 0, -2438334, 0, 218738415, 0, -14117004225, 0, 496981290961], [1, 0, -430, 0, 84863, 0, -10184484, 0, 798475967, 0, -38067590830, 0, 832972004929], [1, 8, 358, 1416, 63975, 227984, 8294292, 23026384, 652608975, 1458906216, 37253623558, 84080804008, 1061520150601], [1, 0, -138, 0, 2591, 0, 225268, 0, 27487919, 0, -15532021578, 0, 1194052296529], [1, 50, 1059, 13262, 153827, 2256804, 28292818, 241478028, 1761165323, 16246520266, 138813297459, 701275865350, 1500730351849], [1, 0, -181, 0, 25963, 0, -3019774, 0, 308466403, 0, -25549627141, 0, 1677100110841], [1, 0, -666, 0, 186159, 0, -27949356, 0, 2377064271, 0, -108589542426, 0, 2081951752609]], 'euler_factors_factorization': [[[[1, 0, 1], 3]], [1], [[[1, 0, 1], 3]], [[[1, 3, 11, 26, 77, 147, 343], 2]], [[[1, 3, 23, 58, 253, 363, 1331], 2]], [[[1, 0, -25, 0, 119, 0, 1026, 0, 20111, 0, -714025, 0, 4826809], 1]], [[[1, 0, 19, 0, 771, 0, 8674, 0, 222819, 0, 1586899, 0, 24137569], 1]], [[[1, 0, -61, 0, 1727, 0, -35238, 0, 623447, 0, -7949581, 0, 47045881], 1]], [[[1, 0, -25, 0, 419, 0, -774, 0, 221651, 0, -6996025, 0, 148035889], 1]], [[[1, 0, -54, 0, 841], 3]], [[[1, 0, -66, 0, 2111, 0, -63356, 0, 2028671, 0, -60952386, 0, 887503681], 1]], [[[1, 2, 31, 116, 1147, 2738, 50653], 1]], [[[1, -2, 41], 6]], [[[1, 0, -94, 0, 6055, 0, -331108, 0, 11195695, 0, -321367294, 0, 6321363049], 1]], [[[1, -12, 137, -952, 6439, -26508, 103823], 2]], [[[1, 3, 149, 310, 7897, 8427, 148877], 2]], [[[1, 0, -170, 0, 15207, 0, -990668, 0, 52935567, 0, -2059951370, 0, 42180533641], 1]], [[[1, 0, -118, 0, 3721], 3]], [[[1, 0, -7, -256, -469, 0, 300763], 2]], [[[1, -10, 21, 468, 1491, -50410, 357911], 2]], [[[1, 13, 191, 1446, 13943, 69277, 389017], 2]], [[[1, 0, -226, 0, 28063, 0, -2568124, 0, 175141183, 0, -8802718306, 0, 243087455521], 1]], [[[1, 7, 181, 810, 15023, 48223, 571787], 2]], [[[1, 0, -225, 0, 27615, 0, -2438334, 0, 218738415, 0, -14117004225, 0, 496981290961], 1]], [[[1, 0, -430, 0, 84863, 0, -10184484, 0, 798475967, 0, -38067590830, 0, 832972004929], 1]], [[[1, 4, 171, 24, 17271, 40804, 1030301], 2]], [[[1, 0, -138, 0, 2591, 0, 225268, 0, 27487919, 0, -15532021578, 0, 1194052296529], 1]], [[[1, 25, 217, 1206, 23219, 286225, 1225043], 2]], [[[1, 0, -181, 0, 25963, 0, -3019774, 0, 308466403, 0, -25549627141, 0, 1677100110841], 1]], [[[1, 0, -222, 0, 12769], 3]]], 'gamma_factors': [[], [0, 0, 0, 0, 0, 0]], 'group': 'GL2', 'index': 1, 'label': '12-3330e6-1.1-c1e6-0-1', 'leading_term': '0.50347412236760348751794659833747273098658832117803965096631935037327637410189390425592739', 'load_key': 'CMFs-workshop', 'motivic_weight': 1, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [1, 1, 1, 1, 1, 1], 'order_of_vanishing': 0, 'origin': 'ModularForm/GL2/Q/holomorphic/3330/2/h/m', 'plot_delta': {'__RealLiteral__': 0, 'data': '0.009765625', 'prec': 37}, 'plot_values': [0.5034741223676035, 0.5006101584214921, 0.493454687709385, 0.4819721301013268, 0.46617933765020525, 0.44615855930254755, 0.4220776638908659, 0.3942457381767144, 0.3630614488951502, 0.32896530436848437, 0.2924289753595894, 0.2539468506939524, 0.2140266157484046, 0.1731927860107947, 0.1319866000153059, 0.09096220557154547, 0.05068037904127556, 0.01169966546717858, -0.025434298834235248, -0.060196641027439234, -0.09209101982797789, -0.1206572569599749, -0.14547765054049996, -0.16618246137663664, -0.18245811515718902, -0.19405359402216546, -0.2007857425987544, -0.20254469640901654, -0.19929897249486872, -0.1910987318410094, -0.17807800469534385, -0.16045591555757424, -0.1385368145821277, -0.11270992459006797, -0.08344700369649298, -0.051298423351356245, -0.016888046189104035, 0.019093192471065785, 0.055894210235945534, 0.09271325576088794, 0.12870935641485998, 0.16301434241254092, 0.19474599291447994, 0.2230217928005326, 0.24697440802968937, 0.26576874954884433, 0.27861878035907284, 0.28480461286405534, 0.2836899098192998, 0.274739929080215, 0.25753890981149496, 0.23180622756264208, 0.19741156166202092, 0.15438927005558606, 0.10295266843664719, 0.043503945624922685, -0.023358167573896655, -0.09683319373864846, -0.17591597327431077, -0.2593943891862893, -0.34585423477425153, -0.43368812244282684, -0.5211078760132349, -0.6061595756749174, -0.6867400410550487, -0.7606203708490907, -0.8254746465947339, -0.8789111767493962, -0.9185097673334698, -0.9418562338455418, -0.9465814341288971, -0.9304048578105418, -0.8911780242057765, -0.8269307910132221, -0.7359234258508638, -0.6166871919130065, -0.46806614214430486, -0.28925787674957476, -0.07985132942779632, 0.1601356967648401, 0.4302157882199718, 0.7294171039879024, 1.0562698486087156, 1.4087965366138815, 1.7845102482229482, 2.180420129566434, 2.5930335797147355, 3.018393032326966, 3.452115024632803, 3.8894346606546186, 4.325268724827259, 4.754276458675809, 5.170911235036866, 5.569513873976714, 5.94440337431209, 6.289983517313754, 6.600849315601703, 6.87186657856414, 7.098259107124913, 7.275721288660313, 7.400534862304003, 7.4696851585833395, 7.480919347005977, 7.432815187098983, 7.324841281520346, 7.157431869160235, 6.932064726015243, 6.6512507051981125, 6.318526843828351, 5.938442418142545, 5.516532224251059, 5.059304302261835, 4.5741407154993965, 4.069184589914702, 3.55322878008364, 3.0355896603464587, 2.5259855030397884, 2.034360632138191, 1.5706895860375467, 1.14479544804988, 0.7661634222471764, 0.4437574400448017, 0.18582191400335485, -0.0003193032868152994, -0.10843891589683347, -0.13356843559640025, -0.07214735866837434, 0.07784017056941318, 0.3167625490648268, 0.6432686021872233, 1.0542445533588216, 1.5447993278880563, 2.108276407882185, 2.7363207777555107, 3.418982905945441, 4.144849903282718, 4.901209448148407, 5.674249107996666, 6.449289511647203, 7.211043634306337, 7.943911555799243, 8.632269925897186, 9.260796757612038, 9.814787564143092, 10.280452460328203, 10.645228060435423, 10.898103418330825, 11.029905583547814, 11.033547592530093, 10.904196202778335, 10.639436398822998, 10.239410241625874, 9.706966561862108, 9.04767747229211, 8.2697318978314, 7.383836997948042, 6.403075186931621, 5.3427334747264945, 4.2201146946284975, 3.054138810736235, 1.8649708296648413, 0.6736420645484467, -0.498357088302459, -1.629512871567692, -2.6987358755370097, -3.6858479018521426, -4.57202839119556, -5.34023499740586, -5.975645515971297, -6.466025740865662, -6.8019958748478455, -6.977295451377323, -6.988973998147168, -6.837563607742631, -6.527147019397673, -6.065252982094615, -5.462730753830895, -4.7335585645343405, -3.894608722372159, -2.965335954027964, -1.9672888231243446, -0.9236304045039175, 0.14137526902615918, 1.2029069122208784, 2.236158448007125, 3.216977220534303, 4.122456569598763, 4.931500318108429, 5.625367008740399, 6.188203066390121, 6.607483867431277, 6.874358961032522, 6.98392639120128, 6.935428948829245, 6.732431841970952, 6.382803098411487, 5.898543301804056, 5.295565487077483, 4.593383142373165, 3.8147663801276335, 2.9852645384259966, 2.1325429086242695, 1.2857403236836484, 0.47479105714306086, -0.2702591424541171, -0.9199671969577995, -1.446293194822944, -1.8233172646850533, -2.0279028296937893, -2.0403009718756175, -1.8446898335187218, -1.4296638811262588, -0.788597816449759, 0.08011576167636081, 1.1729385941430417, 2.481180798704259, 3.9911048504899727, 5.684154804826446, 7.5373227386882276, 9.523607275786087, 11.612610004029182, 13.771181638644496, 15.964093263685712, 18.154797472730866, 20.306272123902367, 22.381893785952027, 24.346274997649864, 26.16591931736618, 27.809919792985895, 29.25063079581179, 30.464437753973662, 31.43232397243857, 32.14000842961755, 32.578155254471625, 32.74250158999664, 32.6339770726313, 32.25891171788222, 31.628471013142047, 30.7581995220136, 29.667581167935325, 28.379558244861332, 26.920185603348525, 25.31784596936242, 23.60235528543387, 21.804244114288977, 19.95408299647479, 18.081961463274492, 16.216766324285068, 14.38548862834158, 12.61267841405647, 10.920022638055555, 9.326085083794052, 7.846047537575301, 6.491476668509854, 5.270303779758067, 4.18689270876617, 3.24222156936674, 2.4341277712036993, 1.757581707791195, 1.2050697954111003, 0.7670222825377032, 0.4322800143942136, 0.188565463750792, 0.022944152237111676, -0.07771939395372535, -0.12633794777368315, -0.13522253135837675, -0.11574830704696974, -0.07808682335650927, -0.031008006374888472, 0.018247296594690484, 0.06402549132425794, 0.1022568426671455, 0.13038400691204236, 0.14722927288032997, 0.1528182685542449, 0.1481686792503409, 0.1350582370815341, 0.11577628442130751, 0.09286704040031166, 0.0688904147241128, 0.04620577765033682, 0.026787202497072733, 0.012075543710374741, 0.0028731474083650253, -0.0007110180180187624, 0.0007330788824384476, 0.005957925764253982, 0.013143377477705751, 0.020020812130694374, 0.024028355224785674, 0.0224873952768808, 0.012790895288207762, -0.00740653529721894, -0.04000816882042516, -0.08631440309312645, -0.1468916125944499, -0.22147737016848204, -0.3089316884387679, -0.407235796626436, -0.513536066240378, -0.624238344109929, -0.735152888234199, -0.8416837228734659, -0.9390517905973538, -1.0225227822188039, -1.0876548566467235, -1.1305513554548223, -1.1481232245271698, -1.1383183145579254, -1.1002724169932683, -1.0344336537493708, -0.942636204819296, -0.8281239572983314, -0.6955251510879976, -0.5506847046204161, -0.40045544953053896, -0.2524400946923039, -0.1146818920508777, 0.004679539316902746, 0.09782522495706392, 0.15768113997769345, 0.17832594169611252, 0.1553809046579754, 0.086366358174269, -0.028981413630341936, -0.1884690839069374, -0.3872975245548961, -0.6180033573535955, -0.8704998574057045, -1.1322222796344343, -1.3883834274170652, -1.622349113263504, -1.8160914019824959, -1.9507289820598022, -2.0071401132145037, -1.966603801011821, -1.811484354408877, -1.5259445651977146, -1.0966031262247706, -0.513151269024762, 0.2311234503275726, 1.138883794630387, 2.2083877289095755, 3.4332658059202585, 4.802496733361094, 6.300501472672073, 7.90734556663943, 9.599085442338351, 11.348276027185703, 13.124798856199162, 14.896597991775838, 16.630387730220818, 18.292497453421063, 19.84975449801062, 21.27061759068876, 22.526318348538066, 23.59133496571012, 24.444026298319468, 25.067221881127494, 25.44887217341224, 25.582680604564576, 25.468099383987497, 25.11007067120822, 24.518785898854624, 23.709465018866695, 22.702189840300846, 21.520999159748495, 20.193183414723748, 18.74830101942905, 17.217322426108886, 15.631998829320871, 14.023760106505106, 12.422766058863921, 10.85720441444814, 9.352510968680246, 7.930898485612636, 6.6108278949406065, 5.406600539831354, 4.3282337603718535, 3.381485056580896, 2.567986041104956, 1.885492475475527, 1.3282346161820455, 0.8874242506964686, 0.5518341576363545, 0.30842118400176716, 0.14296238941252645, 0.04069652298023791, -0.013054373093867712, -0.0323177217373215, -0.029977086714042065, -0.017365351196226154, -0.003953772891496128, 0.002845930228583797, -0.0022306037549870896, -0.022317543033854824, -0.058533609747511324, -0.11019040684713984, -0.1750724964866024, -0.2497671152845796, -0.33002645913512946, -0.4111486233760338, -0.4883542307160303, -0.5571404063043128, -0.6135735942671042, -0.6545275705396019, -0.6778685994913513, -0.6825626556145278, -0.6686934176209555, -0.6374263138122177, -0.5908785504108651, -0.5319503123975796, -0.4641157595695988, -0.3911612188464229, -0.3169305930312564, -0.24508116025930407, -0.17884551637227325, -0.12083962510985011, -0.07290903442538037, -0.03604401912736735, -0.010361057156607793, 0.004852554112621687, 0.011037062591173456, 0.010201002469474574, 0.004714341359110404, -0.0029269761855219485, -0.010347498183837182, -0.015530604059179517, -0.017034125953948726, -0.014162604799383215, -0.007076641400993695, 0.003172897698139232, 0.014696419675742532, 0.024907211929934833, 0.03075322547917034, 0.029035185541121684, 0.01679918711584406, -0.00821241860246401, -0.04707402831044102, -0.0991800183565914, -0.1617661427434101, -0.2294769023987847, -0.294011045553041, -0.34387684948348024, -0.3642732703312248, -0.33714556462538836, -0.24139562240734375, -0.05327164383157017, 0.25306291995216584, 0.7048072044473354, 1.329624066493379, 2.1545540937005807, 3.2048930999175065, 4.503061179060028, 6.06745075792253, 7.911240672478927, 10.041276672815396, 12.457035750809496, 15.150030563831907, 18.103452045813718, 21.29173874023381, 24.680515736970843, 28.226837384813003, 31.880052447320747, 35.58319928728712, 39.273798921304724, 42.8851573630305, 46.34793959364389, 49.59223598918367, 52.55057459521235, 55.15910684432713, 57.35913939100008, 59.09886129287699, 60.33509882036813, 61.03594479140292, 61.18156791542851, 60.76409509468925, 59.787863457062116, 58.26949535626286, 56.238502188396886, 53.73636744123924, 50.81488715060996, 47.53434196661908, 43.96172410766348, 40.1694006548591, 36.23311601753646, 32.22919811198552, 28.232572203384265, 24.31449135216674, 20.540819722595927, 16.970519560631995, 13.653879968891754, 10.631496944044983, 7.933656869388905, 5.579929497028858, 3.579213003878536, 1.9300923425002843, 0.6216153263407528, -0.36563978445138284, -1.058300930707552, -1.4888250483046734, -1.6938375934996077, -1.7124416674861347, -1.5846003532680029, -1.3496152787179863, -1.044786361388233, -0.7041445809928686, -0.3574296309688743, -0.02938605484436763, 0.2606703490874563, 0.4990100268188355, 0.6774050484746336, 0.7927990096508197, 0.8467470416757776, 0.8446921464106588, 0.7951169026503643, 0.7086145647951749, 0.5969599382526157, 0.47220280545096605, 0.3458381650293093, 0.22808190415774163, 0.12727545236487528, 0.04950843108302207, -0.0015924424475303306, -0.024907238580475034, -0.021701911243138777, 0.004649135837730409, 0.049099559078698195, 0.10543786819447391, 0.16683893573781516, 0.22643041588648274, 0.27787880099412615, 0.31590114286463306, 0.3366435705375614, 0.3379628495984519, 0.3195861088621596, 0.2831691969850677, 0.23218624980806057, 0.17161733916487107, 0.10757699145727695, 0.04686664826358489, -0.0035135551043462485, -0.03690203984504753, -0.047547379820962306, -0.031079519360726747, 0.015107988604862229, 0.091576139108714, 0.1966552940402468, 0.32643084742001904, 0.4748945759033245, 0.6342334414159259, 0.7952357376263836, 0.9477664149283532, 1.0813932346763329, 1.1860507253914994, 1.252686082246481, 1.2738656607067176, 1.2442853480964624, 1.16121788433246, 1.0248310755295902, 0.838307458411078, 0.6077916154414619, 0.34214889765121936, 0.05256467819132435, -0.24799525795499294, -0.5454711930739048, -0.8254885609878782, -1.074204072896219, -1.27916687200305, -1.4300910627826766, -1.519557130387558, -1.5435692448427898, -1.5019787907162594, -1.3987331159911833, -1.2418248045671856, -1.0430436681595294, -0.8175086452739011, -0.5829740603580243, -0.3590465737077003, -0.16619543587384458, -0.02468250341343192, 0.0465312826232516, 0.03086898755094301, -0.08486772466234763, -0.3096864069889208, -0.6477522191037336, -1.0979390379221325, -1.6536186347844093, -2.302746782134738, -3.0283757724584217, -3.809258103377447, -4.620647175886589, -5.435302918865445, -6.224677651338283, -6.96031871940466, -7.6153867591161175, -8.165701973796473, -8.590765910603883, -8.874738167778514, -9.007313834252466, -8.984162736941235, -8.807326231574221, -8.484829237853592, -8.0301978152797, -7.461932242877367, -6.802452579890549, -6.076958228126349, -5.312337509303172, -4.535670391513372, -3.7729727022168547, -3.047911694182429, -2.380662953199353, -1.7870969924670765, -1.2782318639538837, -0.8598673628210233, -0.5325456867253633, -0.29183470176914456, -0.12895342670003165, -0.03165104682242042, 0.014714532934725721, 0.025977966682803603, 0.017873189473388684, 0.004736159345638997, -0.0017056573994192101, 0.006615453071004083, 0.033285097157491415, 0.0768717242053009, 0.13071056707790998, 0.1830299970431945, 0.2174266262531956, 0.21369210005293246, 0.1489417360898984, -0.001053539828030786, -0.26035980370431816, -0.6512711047695475, -1.1926562209994265, -1.898424286175537, -2.7762864155423626, -3.8267101138571538, -5.042165985245449, -6.406737148711574, -7.896162453286819, -9.478412288805174, -11.114944577501328, -12.76189091049576, -14.371619362085234, -15.894658547333687, -17.28169581292011, -18.485832508284926, -19.46523629806908, -20.18470311050852, -20.61727255442191, -20.745423256881246, -20.561932786105395, -20.070526752170803, -19.28642204577204, -18.23530825898917, -16.951994862957644, -15.47887912965444, -13.864157592598412, -12.159904337242699, -10.42013619590441, -8.697964630263561, -7.0432020423864365, -5.500343696054732, -4.106828903323545, -2.891655023717048, -1.8744204099230162, -1.0647113295761368, -0.4621365746994583, -0.05688607795260083, 0.16928444685326544, 0.2416541330314221, 0.19076862513091203, 0.05049278079975273, -0.14404832160887823, -0.35852275723259036, -0.5613572544516408, -0.7254555024879124, -0.8295819534482287, -0.8593229048393157, -0.8076181925480591, -0.6748566775489714, -0.4684408464275059, -0.20192986500836724, 0.10618516806707531, 0.4340308329271513, 0.7580915548452921, 1.0550435434922727, 1.3035235533601701, 1.4857728894337683, 1.589090124922215, 1.6069044060424886, 1.53941379053575, 1.3937029934438931, 1.1834434682902009, 0.9281609759962672, 0.6521093847569234, 0.38266782189680304, 0.1484672393907963, -0.02255979663776584, -0.10515412889552413, -0.0786256341768042, 0.07144171364684229, 0.3518614293988594, 0.7609698721271968, 1.2882375687838894, 1.9144099785199047, 2.6122558837496244, 3.3479738288749963, 4.082960549075884, 4.775942276111426, 5.385401493683607, 5.872264031036505, 6.202615730930191, 6.350402478961247, 6.299416723245174, 6.0449294659117, 5.594943388831682, 4.970745781244385, 4.206718403279461, 3.349685082186608, 2.456951830210498, 1.593934553308711, 0.8313115589793902, 0.24170832835335943, -0.10378860437168162, -0.139280883664645, 0.19214072347154104, 0.935100293155008, 2.1191547981133163, 3.756588424250971, 5.840863126910722, 8.345770364241282, 11.226007146740423, 14.418383462569766, 17.843690849093136, 21.40939385955944, 25.013002327529225, 28.546738795469608, 31.901953958061966, 34.972956086719094, 37.661177403783036, 39.87911819676691, 41.55485644586013, 42.63563769404992, 43.08861999882206, 42.90183382328249, 42.08445100292317, 40.666836953003425, 38.69989336800089, 36.25171874711295, 33.403902154887454, 30.247881577856514, 26.88141915161831, 23.405245452660886, 19.918109550633822, 16.512988039359907, 13.27341379864455, 10.270757131752443, 7.5624335800669735, 5.190100718120594, 3.1789836073523463, 1.538172191243788, 0.26149890795378, -0.670834483527688, -1.2901773669753838, -1.6368458003750306, -1.7572773822979235, -1.7011638099259951, -1.518659010758733, -1.2577661180029305, -0.9619921066802377, -0.6685360833845063, -0.4070195568056818, -0.19878854418326447, -0.05672827693386446, 0.014423911856543709, 0.017234761721726725, -0.03965481723802797, -0.1430299527765034, -0.27674758391169396, -0.42342893936585885, -0.5660856477870737, -0.6895609905753006, -0.7816961496861015, -0.8341449430810598, -0.8428612972788403, -0.8081653911053122, -0.7344432936647746, -0.6295253210029003, -0.5037813106713643, -0.36907265019123997, -0.2376241942941612, -0.12085192012369697, -0.028303396395189872, 0.033218079140763315, 0.060256597355281674, 0.05302338207494304, 0.015420739774244076, -0.04526073222457852, -0.11896276763306197, -0.1937510053699755, -0.2568156150055704, -0.2955867020015966, -0.2988938525988087, -0.25804692504924737, -0.16775389549607778, -0.02672162150840238, 0.16200081649836426, 0.3909800896562975, 0.6486968804185588, 0.9202840582921796, 1.188532094913903, 1.4350688426524187, 1.641694690309951, 1.7917986954580218, 1.8718733169265112, 1.8727667608767353, 1.7906046593143246, 1.6274552139931024, 1.3916268145785842, 1.0975931484531232, 0.7654590215640207, 0.41987574337322353, 0.08866507668365145, -0.19883232865868822, -0.4136402661755193, -0.5291239970181639, -0.5228843184074694, -0.37851271720783897, -0.0870585690566112, 0.35188173442043547, 0.9296556801189867, 1.628582086134884, 2.422328543437963, 3.276989113323361, 4.152690736658541, 5.006015642612048, 5.792324237388313, 6.468057615005823, 6.993180467518278, 7.333718244543827, 7.464670456171252, 7.371759393925325, 7.052128644058052, 6.514912771584026, 5.781216317142319, 4.884000661643235, 3.866754231196396, 2.7806006391423366, 1.681680493914849, 0.6282546429713501, -0.3221220284014321, -1.1156414852486298, -1.7060679603949802, -2.0575314711050416, -2.1467270536924135, -1.9644323517971571, -1.5162833024549514, -0.823248735151834, 0.07907932883086868, 1.1420741971656163, 2.3063822040032407, 3.504931622029569, 4.666217126993012, 5.717933146354598, 6.590754877626766, 7.222014490583381, 7.5591792085396, 7.5627259701939655, 7.208377954141247, 6.488515582838831, 5.412788861181769, 4.0078760349253955, 2.31630374808633, 0.3945090791381771, -1.6897858471985334, -3.8608127443752642, -6.03845857024003, -8.142266569711017, -10.094970139343177, -11.82600479511786, -13.274811506841033, -14.393557735800268, -15.1494448436777, -15.525439374599985, -15.520496731784723, -15.149204090737872, -14.440823648254604, -13.437564138999614, -12.191723748126709, -10.762688424027862, -9.213921623402562, -7.6099085696114255, -6.013142685555625, -4.481064741897099, -3.063652869797702, -1.801628867850488, -0.725217693577273, 0.14665880324592445, 0.8065137400898198, 1.257531760205323, 1.5124174078631645, 1.5918569337588588, 1.5227756821146565, 1.3363643829788592, 1.065739406571805, 0.7438939053737802, 0.4018803680585553, 0.06728463644103948, -0.2369854032721764, -0.49359182528675866, -0.6911204306145289, -0.8240145846125552, -0.8921655117718689, -0.9002481338737527, -0.856734673004322, -0.77272810497655, -0.6607487753199517, -0.5336134917735564, -0.40344165777407814, -0.2807563952424562, -0.17380355959171176, -0.08815956363478927, -0.026609482247228512, 0.010693392665235174, 0.025897931941745448, 0.02296163291031644, 0.007030416164470549, -0.016237899796336754, -0.04135806648780013, -0.06358258100927605, -0.07934083445642451, -0.08652430404626588, -0.08459293083840135, -0.0745045642913744, -0.05847308431432221, -0.039531298173649844, -0.021016521610059354, -0.006015224814804876, 0.00318906248638247, 0.00561383621305558, 0.0019752539085859722, -0.005081737440701525, -0.010944005614002574, -0.009185755629933658, 0.008082867950644763, 0.04969154525891727, 0.12473172825791749, 0.2417809276613496, 0.4080960040782833, 0.628846207986305, 0.906444411809449, 1.2399950500709012, 1.6249502426109028, 2.0530063269085965, 2.5122907456853287, 2.9878529886937977, 3.4622434271567366, 3.9163570558593106, 4.330545687091741, 4.685723961163605, 4.964629874264928, 5.152731794505636, 5.2390772657426705, 5.217077227878797, 5.085243741564134, 4.847396509222516, 4.512317122923249, 4.093211467202059, 3.6070195864808112, 3.073583329332758, 2.5148199387170904, 1.9531822860932397, 1.4102590180355603, 0.9056245882694365, 0.4558337947153067, 0.07364890469494159, -0.23249935297563099, -0.4589466771643882, -0.6067572552950267, -0.6813482002038562, -0.6918590911937775, -0.6502975412932008, -0.5704916550484184, -0.46700924043157727, -0.3540448712762658, -0.24438215811765746, -0.14850934909028551, -0.07395800098553941, -0.024918035541004482, -0.0021460095841004984, -0.0031701167766005236, -0.022782650440275058, -0.053781300573273384, -0.08788122516563097, -0.11673119829226841, -0.1329534965794747, -0.13113836319696032, -0.10867104211226049, -0.06631849534171763, -0.00855037748523181, 0.05645505027628456, 0.11713716841946972, 0.15921603797116674, 0.16663673537419116, 0.12272384139538549, 0.011486956580716485, -0.18101120649155153, -0.4653491035490156, -0.8476094789153358, -1.3284594771339822, -1.9025267313480598, -2.5581706281806174, -3.277820350235226, -4.0385735162492775, -4.813140038208994, -5.571127447218445, -6.2806191969363505, -6.910214761740102, -7.430932702840015, -7.817722252244051, -8.050925878723843, -8.117534876484651, -8.012374214322604, -7.73852807399821, -7.307230338825146, -6.7371474810131655, -6.05334869718378, -5.2861191516048756, -4.469253187863731, -3.6379497234383034, -2.8269358683597097, -2.0684332976394546, -1.390430346894642, -0.8152075205914083, -0.358154388567545, -0.027162942657542873, 0.1775050339305184, 0.2628968164062218, 0.24257882355545402, 0.13542291214043314, -0.035915649825268584, -0.24670473606692797, -0.47193482268561543, -0.6881096794618046, -0.8748132590666541, -1.0159711962035973, -1.1007613899719106, -1.1241285998998989, -1.0869321966171652, -0.9954918904425039, -0.8607172464112379, -0.6969729069703129, -0.5207160218539684, -0.3490233655589919, -0.19807039012133273, -0.08167123387467545, -0.010109300918023704, 0.010713277242425273, -0.020245053743038692, -0.09910711653716424, -0.21744339252551212, -0.3630251980326465, -0.5208969028374673, -0.6746939355726206, -0.8081402540895143, -0.9064830089804428, -0.9578318375028539, -0.9542473325780083, -0.8925270125502739, -0.774664507816071, -0.6077517993232201, -0.4034693571922771, -0.17721448048650618, 0.05314912261912214, 0.26875433337759774, 0.45135260867278193, 0.5848911840695898, 0.6569346658332373, 0.6598788188598887, 0.5917519747753732, 0.4565224781201308, 0.2638676104079578, 0.028484636373792924, -0.23101521748939047, -0.49355767373281534, -0.7375027374253409, -0.9425816286967771, -1.0917276679256323, -1.1726900172874186, -1.1792970308971866, -1.1122650219367358, -0.9793190371305968, -0.7946335612976154, -0.5776240873751154, -0.35113508779675906, -0.13910522848468415, 0.03618151205442618, 0.15696104280487885, 0.21277403198575295, 0.20295861594133946, 0.13865484066562164, 0.044016376729790155, -0.043529383141484024, -0.07401726181832664, 0.013257649331109463, 0.2868921646196574, 0.8195570804451192, 1.6834357205254808, 2.9451792069773304, 4.66063501516395, 6.869759937347993, 9.592195005168053, 12.823414397136194, 16.532006141462354, 20.658479117818406, 25.11571524045715, 29.792036493715198, 34.55432865415482, 39.25271474090704, 43.72684586358177, 47.8139582313487, 51.358959908728565, 54.22132777520418, 56.28140797403879, 57.44695828273389, 57.65896403070389, 56.89893717354415, 55.18948417006763, 52.59138277427678, 49.20101486508462, 45.146043064578194, 40.581204775086945, 35.68074812340773, 30.626340053033477, 25.597535378461604, 20.76274108676991, 16.2713906056328, 12.24669473087507, 8.778266951038619, 5.918433950085669, 3.6812220891743426, 2.043793579967884, 0.9500942232632195, 0.3163640763827293, 0.03906296087523236, 0.004221278110887903, 0.09746253260413935, 0.21415056251137787, 0.2690716405721185, 0.20489588270797987, -0.0012337960955512474, -0.33348054759822165, -0.7356585893332623, -1.1125460385905783, -1.3342016811925157, -1.2429986361962129, -0.6630554068432516, 0.5885874554601035, 2.689456872066714, 5.798615243505508, 10.04389311079879, 15.510225474311486, 22.23051635408079, 30.17893904259525, 39.26658044292937, 49.34043080242978, 60.18578321870524, 71.53312176393632, 83.0716227554455, 94.4597214575628, 105.33822125807605, 115.34556688171045, 124.13431462047899, 131.3917928544001, 136.85651686602034, 140.32629463343247, 141.6666451339033, 140.81744744598282, 137.79993588017726, 132.71545968985575, 125.74077487429435, 117.11628830558783, 107.13391908190607, 96.12628734772193, 84.45127798203593, 72.47335020155346, 60.550115566581404, 49.01494015848174, 38.16405511281411, 28.24595741272926, 19.451543336410925, 11.910185405094257, 5.689665666423858, 0.7968034252520461, -2.8181514336624005, -5.254253151260352, -6.64992863195133, -7.171627015556173, -7.001891646834245, -6.328610574759769, -5.334003796791612, -4.184765628554057, -3.024216645647746, -1.966609304948039, -1.0938170396411315, -0.4545407762949355, -0.06559674897589755, 0.0847521663902807, 0.03183992400606141, -0.17150487738797796, -0.4617603095910006, -0.7716980510109458, -1.0369204406181154, -1.2016047868142967, -1.2230291437143768, -1.0745889651682243, -0.747511029953901, -0.2508050388025643, 0.39018825067162677, 1.1365961668148954, 1.9401424334794704, 2.747248256355078, 3.5036190872463195, 4.158673518786945, 4.6695620058165686, 5.004898853831564, 5.146612265693863, 5.090778954258621, 4.847702617358113, 4.440544124067794, 3.9033070293345027, 3.2775806227444506, 2.6087579898520725, 1.9423980913564416, 1.3206821207597887, 0.7790548336815811, 0.3435092367986809, 0.028839583053111146, -0.1620586677794505, -0.2379180796913069, -0.2179429436965233, -0.12975580136347736, -0.006489326305635214, 0.11646363027203847, 0.20483759564986395, 0.2287758500443464, 0.1657937040135071, 0.0031354354215425754, -0.26073421056330476, -0.6155647073287965, -1.0397259894243822, -1.501583831359303, -1.961721112954342, -2.375874932990272, -2.6983469407688068, -2.8856543322934876, -2.9001388743872507, -2.7131835853674713, -2.3079063001027404, -1.6810974559189469, -0.8443023266237594, 0.1763197422744556, 1.3412733930323426, 2.599500524791722, 3.8910936798835905, 5.150618480348332, 6.311253165944068, 7.3094410473413465, 8.08806293559529, 8.599723747743326, 8.809685966559504, 8.698160685645247, 8.262327737509384, 7.515605794254436, 6.486560326570002, 5.217303762574717, 3.761253615882893, 2.180392727290685, 0.5411894854394979, -1.0892510970804412, -2.646603931531198, -4.072480660220701, -5.317447425138027, -6.343361986924191, -7.124583835995611, -7.648442133683142, -7.9149884829266615, -7.936470363659075, -7.735950178537439, -7.34466316428438, -6.799551719073395, -6.140752628063192, -5.409324186907619, -4.645069535313249, -3.884047448371501, -3.156959521911026, -2.488124360640478, -1.8950038841639356, -1.3882242739050439, -0.9717678710179977, -0.6437553751194705, -0.3975811346657681, -0.22318860567186088, -0.1083855772101822, -0.04009877213674903, -0.005511080695824569, 0.007007595657724293, 0.007230013960529227, 0.002681818997137147, -0.0014843640036531036, -0.002381711264738039, 0.000915311026494594, 0.007820383364044869, 0.01676210772956933, 0.02572324971780091, 0.032711878703985994, 0.036127445458172654, 0.03500516573293823, 0.029129053796986642, 0.019040167204447955, 0.005963378165396273, -0.008392281446753542, -0.022113596197184383, -0.03344277830722443, -0.04125319809146642, -0.04511641390448189, -0.045196931272861694, -0.04209680645605174], 'positive_zeros': ['0.16903558315963790716294049668758', '0.35618708706655334385026727382057', '0.54357798527110780444767136925151', '0.76510851797553392525648481286058', '1.20115089309241207821207885068429', '1.23588283155390227869120259849345', '1.57784748886960220896653656684128', '1.77605053565689213495043046845725', '1.98851913494677918516264586812919', '2.07927365534876293991610865485043', '2.57015074008354329430528773611210', '2.63307335500337638059311192293789', '2.77953127010587209090532147899401', '2.79068267126582215474939434479739', '2.85834565546965752520392073895537', '3.11481221499821211685596745131434', '3.17170236955181322779549761859878', '3.32726519410233554423272152097047', '3.79564800919907901034906476791092', '3.84191628996425138598798106389728', '3.85537860899494952358593414632777', '4.11722507872913479241489191305449', '4.15653786900666020914678084547474', '4.21594424297062005361230934067832', '4.27466768848111523994091600263710', '4.37703866835810480092881128896292', '4.86906173607985333338579141798143', '4.97162906455190267155951724629583', '5.11677433029320057041542865024713', '5.14519216174186025164541392810259', '5.29218376590276322630207137104382', '5.32946103628406630970720755728941', '5.50953314357145202158056834662184', '5.67622544107701968304139562045764', '5.69700045044607079584507267548219', '6.05048519024268534738842772656559', '6.08897962645012952337648654632075', '6.09829433452542619384380031505309', '6.18158977351152143742208782552529', '6.55461846839316557573632389781006', '6.59453053249528340199618894445114', '6.69595871306119300560412062936722', '6.84410541771061295283992573816823', '6.87133353601978709938833528510651', '7.09572592324136605552705436621003', '7.11490054215402817911564506022241', '7.47311733751355557569427970529903', '7.59464253810657816849378016858473', '7.61151200920662697442673833122021', '7.77729842621794679443693799801271', '7.81529707268305564567150710005295', '7.901930343678904531479005146944412', '8.069221660996721451417729563257856', '8.127223085551192063591751930413158', '8.336377778688631919024575615120317', '8.417184315549201249539245463533347', '8.566350234328246034271097515544420', '8.797005116680725972819551458775677', '9.085203680721936783488252622501177', '9.194975301818258551153369681972979'], 'prelabel': '12-3330e6-1.1-c1e6-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 5.15656706279346, 'root_angle': 0.0, 'root_number': '1', 'self_dual': True, 'sign_arg': 0, 'spectral_label': 'c1e6-0', 'trace_hash': 1533148952713656931, 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '0.16903558315963790716294049669', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '0.35618708706655334385026727382', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '0.54357798527110780444767136925', 'prec': 103}}
-
lfunc_search • Show schema
Hide schema
{'algebraic': True, 'analytic_conductor': 353450046.49110633, 'bad_primes': [2, 3, 5, 37], 'central_character': '1.1', 'conductor': 1363532208525369000000, 'conductor_radical': 1110, 'degree': 12, 'dirichlet_coefficients': [1, 0, 0, -3, 0, 0, -6, 0, 0, 0, -6, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, -3, 0, 0, 18, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 12, 0, 0, 18, 0, 0, 24, 0, 5, 0, 0, 0, -6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -10, 0, 0, 0, 0, 0, 0, 20, 0, -26, 0, 0, 0, 36, 0, 0, 0, 0, 0, -14, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9], 'euler11': [1, 6, 55, 254, 1383, 4912, 19842, 54032, 167343, 338074, 805255, 966306, 1771561], 'euler13': [1, 0, -25, 0, 119, 0, 1026, 0, 20111, 0, -714025, 0, 4826809], 'euler17': [1, 0, 19, 0, 771, 0, 8674, 0, 222819, 0, 1586899, 0, 24137569], 'euler19': [1, 0, -61, 0, 1727, 0, -35238, 0, 623447, 0, -7949581, 0, 47045881], 'euler2': [1, 0, 3, 0, 3, 0, 1, 0, 0, 0, 0, 0, 0], 'euler23': [1, 0, -25, 0, 419, 0, -774, 0, 221651, 0, -6996025, 0, 148035889], 'euler29': [1, 0, -162, 0, 11271, 0, -429948, 0, 9478911, 0, -114579522, 0, 594823321], 'euler3': [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'euler31': [1, 0, -66, 0, 2111, 0, -63356, 0, 2028671, 0, -60952386, 0, 887503681], 'euler37': [1, 2, 31, 116, 1147, 2738, 50653, 0, 0, 0, 0, 0, 0], 'euler41': [1, -12, 306, -2620, 35295, -221592, 2003324, -9085272, 59330895, -180573020, 864682866, -1390274412, 4750104241], 'euler43': [1, 0, -94, 0, 6055, 0, -331108, 0, 11195695, 0, -321367294, 0, 6321363049], 'euler47': [1, -24, 418, -5192, 54495, -468400, 3514428, -22014800, 120379455, -539049016, 2039706658, -5504280168, 10779215329], 'euler5': [1, 0, 3, 0, 3, 0, 1, 0, 0, 0, 0, 0, 0], 'euler53': [1, 6, 307, 1514, 39855, 156616, 2797722, 8300648, 111952695, 225399778, 2422377667, 2509172958, 22164361129], 'euler59': [1, 0, -170, 0, 15207, 0, -990668, 0, 52935567, 0, -2059951370, 0, 42180533641], 'euler61': [1, 0, -354, 0, 52935, 0, -4277500, 0, 196971135, 0, -4901427714, 0, 51520374361], 'euler67': [1, 0, -14, -512, -889, 3584, 673628, 240128, -3990721, -153990656, -282115694, 0, 90458382169], 'euler7': [1, 6, 31, 118, 431, 1328, 3938, 9296, 21119, 40474, 74431, 100842, 117649], 'euler71': [1, -20, 142, 516, -5937, -110984, 2005668, -7879864, -29928417, 184682076, 3608458702, -36084587020, 128100283921], 'euler73': [1, 26, 551, 7858, 101963, 1053444, 9996378, 76901412, 543360827, 3056895586, 15647430791, 53899861418, 151334226289], 'euler79': [1, 0, -226, 0, 28063, 0, -2568124, 0, 175141183, 0, -8802718306, 0, 243087455521], 'euler83': [1, 14, 411, 4154, 74147, 599988, 7913122, 49799004, 510798683, 2375203198, 19505369931, 55146569002, 326940373369], 'euler89': [1, 0, -225, 0, 27615, 0, -2438334, 0, 218738415, 0, -14117004225, 0, 496981290961], 'euler97': [1, 0, -430, 0, 84863, 0, -10184484, 0, 798475967, 0, -38067590830, 0, 832972004929], 'euler_factors': [[1, 0, 3, 0, 3, 0, 1, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 3, 0, 3, 0, 1, 0, 0, 0, 0, 0, 0], [1, 6, 31, 118, 431, 1328, 3938, 9296, 21119, 40474, 74431, 100842, 117649], [1, 6, 55, 254, 1383, 4912, 19842, 54032, 167343, 338074, 805255, 966306, 1771561], [1, 0, -25, 0, 119, 0, 1026, 0, 20111, 0, -714025, 0, 4826809], [1, 0, 19, 0, 771, 0, 8674, 0, 222819, 0, 1586899, 0, 24137569], [1, 0, -61, 0, 1727, 0, -35238, 0, 623447, 0, -7949581, 0, 47045881], [1, 0, -25, 0, 419, 0, -774, 0, 221651, 0, -6996025, 0, 148035889], [1, 0, -162, 0, 11271, 0, -429948, 0, 9478911, 0, -114579522, 0, 594823321], [1, 0, -66, 0, 2111, 0, -63356, 0, 2028671, 0, -60952386, 0, 887503681], [1, 2, 31, 116, 1147, 2738, 50653, 0, 0, 0, 0, 0, 0], [1, -12, 306, -2620, 35295, -221592, 2003324, -9085272, 59330895, -180573020, 864682866, -1390274412, 4750104241], [1, 0, -94, 0, 6055, 0, -331108, 0, 11195695, 0, -321367294, 0, 6321363049], [1, -24, 418, -5192, 54495, -468400, 3514428, -22014800, 120379455, -539049016, 2039706658, -5504280168, 10779215329], [1, 6, 307, 1514, 39855, 156616, 2797722, 8300648, 111952695, 225399778, 2422377667, 2509172958, 22164361129], [1, 0, -170, 0, 15207, 0, -990668, 0, 52935567, 0, -2059951370, 0, 42180533641], [1, 0, -354, 0, 52935, 0, -4277500, 0, 196971135, 0, -4901427714, 0, 51520374361], [1, 0, -14, -512, -889, 3584, 673628, 240128, -3990721, -153990656, -282115694, 0, 90458382169], [1, -20, 142, 516, -5937, -110984, 2005668, -7879864, -29928417, 184682076, 3608458702, -36084587020, 128100283921], [1, 26, 551, 7858, 101963, 1053444, 9996378, 76901412, 543360827, 3056895586, 15647430791, 53899861418, 151334226289], [1, 0, -226, 0, 28063, 0, -2568124, 0, 175141183, 0, -8802718306, 0, 243087455521], [1, 14, 411, 4154, 74147, 599988, 7913122, 49799004, 510798683, 2375203198, 19505369931, 55146569002, 326940373369], [1, 0, -225, 0, 27615, 0, -2438334, 0, 218738415, 0, -14117004225, 0, 496981290961], [1, 0, -430, 0, 84863, 0, -10184484, 0, 798475967, 0, -38067590830, 0, 832972004929]], 'index': 1, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/3330/2/h/m'], 'is_instance_Artin': False, 'is_instance_BMF': False, 'is_instance_CMF': True, 'is_instance_DIR': False, 'is_instance_ECNF': False, 'is_instance_ECQ': False, 'is_instance_G2Q': False, 'is_instance_HMF': False, 'is_instance_MaassGL3': False, 'is_instance_MaassGL4': False, 'is_instance_MaassGSp4': False, 'is_instance_NF': False, 'label': '12-3330e6-1.1-c1e6-0-1', 'motivic_weight': 1, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [1, 1, 1, 1, 1, 1], 'order_of_vanishing': 0, 'prelabel': '12-3330e6-1.1-c1e6-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 5.15656706279346, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c1e6-0', 'trace_hash': 1533148952713656931, 'z1': {'__RealLiteral__': 0, 'data': '0.16903558315963790716294049669', 'prec': 103}}
-
lfunc_instances • Show schema
Hide schema
{'Lhash': '214278058452243778774016181297,451520774713460951965851204480,689066959299771449217981964306,969890272051416624809323820669,1522639650593269975830500427312,2000159316334155749995540843455', 'Lhash_array': ['214278058452243778774016181297', '451520774713460951965851204480', '689066959299771449217981964306', '969890272051416624809323820669', '1522639650593269975830500427312', '2000159316334155749995540843455'], 'label': '12-3330e6-1.1-c1e6-0-1', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/3330/2/h/m'}