-
lfunc_lfunctions • Show schema
Hide schema
{'Lhash': 'dirichlet_L_287.199', 'a10': [-0.6691306063588582, 0.7431448254773942], 'a2': [0.9945218953682733, -0.10452846326765347], 'a3': [0.9659258262890683, 0.25881904510252074], 'a4': [0.9781476007338057, -0.20791169081775934], 'a5': [-0.7431448254773942, 0.6691306063588582], 'a6': [0.9876883405951378, 0.15643446504023087], 'a7': [1.0, -2.8163065144692913e-30], 'a8': [0.9510565162951535, -0.30901699437494745], 'a9': [0.8660254037844386, 0.5], 'algebraic': True, 'analytic_conductor': 1.3328223966973418, 'analytic_normalization': 0, 'bad_lfactors': [[7, [1]], [41, [1]]], 'bad_primes': [7, 41], 'central_character': '287.199', 'coeff_info': ['x^120 - 1', '0.998629534754574 + 0.0523359562429438*I', '\\\\zeta_{120}'], 'conductor': 287, 'conductor_radical': 287, 'conjugate': 'dirichlet_L_287.75', 'degree': 1, 'dirichlet_coefficients': ['a^0', 'a^118', 'a^5', 'a^116', 'a^46', 'a^3', 0, 'a^114', 'a^10', 'a^44', 'a^29', 'a^1', 'a^93', 0, 'a^51', 'a^112', 'a^59', 'a^8', 'a^67', 'a^42', 0, 'a^27', 'a^28', 'a^119', 'a^92', 'a^91', 'a^15', 0, 'a^81', 'a^49', 'a^104', 'a^110', 'a^34', 'a^57', 0, 'a^6', 'a^16', 'a^65', 'a^98', 'a^40', 0, 0, 'a^78', 'a^25', 'a^56', 'a^26', 'a^43', 'a^117', 0, 'a^90', 'a^64', 'a^89', 'a^101', 'a^13', 'a^75', 0, 'a^72', 'a^79', 'a^68', 'a^47', 'a^82', 'a^102', 0, 'a^108', 'a^19', 'a^32', 'a^71', 'a^55', 'a^33', 0, 'a^9', 'a^4', 'a^50', 'a^14', 'a^97', 'a^63', 0, 'a^96', 'a^85', 'a^38', 'a^20', 0, 'a^60', 0, 'a^105', 'a^76', 'a^86', 'a^23', 'a^37', 'a^54', 0, 'a^24', 'a^109', 'a^41', 'a^113', 'a^115', 'a^111', 0, 'a^39', 'a^88'], 'euler_factors': [[1, 'a^118'], [1, 'a^5'], [1, 'a^46'], [0], [1, 'a^29'], [1, 'a^93'], [1, 'a^59'], [1, 'a^67'], [1, 'a^28'], [1, 'a^81'], [1, 'a^104'], [1, 'a^16'], [0], [1, 'a^78'], [1, 'a^43'], [1, 'a^101'], [1, 'a^68'], [1, 'a^82'], [1, 'a^71'], [1, 'a^9'], [1, 'a^50'], [1, 'a^85'], [1, 'a^60'], [1, 'a^37'], [1, 'a^111'], [1, 'a^107']], 'gamma_factors': [[0], []], 'index': 0, 'label': '1-287-287.199-r0-0-0', 'leading_term': '2.73729367544283720272435442865+0.625101151341138739324264331139*I', 'load_key': 'dirichlet', 'motivic_weight': 0, 'mu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'mu_real': [0], 'nu_imag': [], 'nu_real_doubled': [], 'order_of_vanishing': 0, 'origin': 'Character/Dirichlet/287/199', 'plot_delta': {'__RealLiteral__': 0, 'data': '0.3125', 'prec': 20}, 'plot_values': [2.8077621186680632, 3.3324076592897716, 4.0548570658075, 4.232834042825282, 3.555094503628696, 2.184484840658812, 0.635774617193141, -0.48054877167528365, -0.7807965043375696, -0.33197073421245205, 0.3784723855862436, 0.7483580597542591, 0.47533851577370345, -0.197804536978044, -0.6140163846277011, -0.17239596286731532, 1.1648657559245406, 2.717225713541511, 3.467364049720811, 2.7752975419821118, 0.920301069255674, -0.9848636221850243, -1.737732298527229, -0.9558645446766121, 0.5477358146308943, 1.2937817257138664, 0.25926075905741053, -2.239525899773632, -4.642222079568004, -5.242525812067162, -3.4981969805370148, -0.516400125271058, 1.730955241801181, 1.8965337655816805, 0.2749035627574677, -1.4899857416405673, -1.781272301146554, -0.3279141752009564, 1.6417726633759488, 2.523828158760371, 1.7396645311157033, 0.1758764695658606, -0.7016211172646117, -0.21126621617849414, 0.9821944080046792, 1.6129015406663485, 1.103179069197651, 0.09270241189542279, -0.34506044690889265, 0.00010249343570695971, 0.07096985049136212, -1.387769808962014, -4.239579930085901, -6.513944355332554, -5.837278977025591, -1.635267625293379, 3.943298646558655, 7.4459477275191706, 6.812202676302099, 2.998682047418539, -0.9351499859408365, -2.4494533165734107, -1.4672314937534243, 0.04912723512083925, 0.2863104607604656, -0.7043846782789721, -1.3860249960404887, -0.628064743284751, 0.9875260547087983, 1.8274737244716117, 1.0552783300976105, -0.4041576640321695, -0.878379791035005, 0.16122711823697325, 1.448259024531236, 1.3027544796167576, -0.43102740689700625, -2.0716123178585946, -1.8662026182819136, 0.04611108809669583, 1.6928315568018515, 1.4072655761661506, -0.2556893991991819, -1.0317851988362232, 0.5189492608872845, 3.198205111679914, 4.215084456217792, 2.1719859854612356, -1.1774972716717187, -2.443805426483482, 0.01001258917837192, 4.2988842400687215, 6.759848854222092, 5.445689224795939, 1.7999708031051134, -1.0671678515519658, -1.4927404488312221, -0.4677268244483732, 0.04565638858684973, -0.5327481258716534, -1.084263162049966, -0.598996936614426, 0.34063732846383366, 0.30691660918630076, -0.9785594036553437, -2.046364798225139, -1.4403625571891594, 0.24017635271681262, 0.7127949991852269, -1.3023418177700263, -4.173763193131601, -4.767233081135026, -1.9429061153701388, 1.773884974540314, 2.520256382702711, -0.8623989225420684, -5.4693725130787785, -7.238270369725231, -5.009545950494379, -1.3828345430814093, 0.3570986859275873, -0.3713584261444428, -1.4531373067487028, -1.0681256589985741, 0.13550921188613668, 0.21537956583091006, -1.246386031869743, -2.359244283539125, -1.218486714113915, 1.5941505903817788, 3.485459017077936, 2.799491368051349, 0.6538841401024582, -0.5446680483688915, 0.012325142977994816, 0.8549378879308691, 0.4865257251597438, -0.5031049752340292, -0.3421774572601363, 1.1519617422604003, 1.7773862237450957, -0.36324766309510464, -3.829812358885685, -4.601452267079621, -0.4006127210667611, 6.246987035894016, 10.070372312820963, 8.290186650344944, 3.2840325806434603, -0.2274911092299815, -0.14949501316868574, 1.4414683212613548, 1.4756031888977819, -0.4021166315959345, -1.9306838942103286, -1.4641394830586607, 0.04664207076662252, 0.6463637826636099, 0.062150951406965554, -0.2087397791877032, 0.6606888657873268, 1.451881919149727, 0.66642825650289, -0.9901600450152052, -1.1052840982792866, 1.200671573452208, 3.5390401359432504, 2.751626377361309, -1.1051047282001136, -4.37791706434401, -3.902859212163588, -0.7270878770540956, 1.1792259242040013, -0.27300853160815597, -2.900015048573631, -3.2015979388587557, -0.8682213309643385, 0.8826320917885003, -0.4945877987118429, -3.555576682199355, -4.652939803804957, -2.4810432814625623, 0.4209217268078026, 0.9772858761686636, -0.6927845902532813, -1.8188571604272408, -0.7738631231594315, 0.9968622828112743, 1.234700652094452, -0.04045704227253776, -0.8382262629004289, -0.23536051317757226, 0.3091017636936255, -0.7513071592266891, -2.5132777761847818, -2.680730542068885, -0.9019821864167205, 0.4916395721628806, -0.13423009129011537, -0.7082688943004278, 2.496991121458189, 9.647372877622244, 15.684706118098791, 15.1288389572596, 8.119578494556958, 0.46997368672450796, -2.4475829546808265, -0.8009040207878397, 1.2292441790964075, 0.9411327672936609, -0.42714698044518973, -0.5540044126094659, 0.4807254445662158, 0.8157456814414915, 0.01496472661806517, -0.18081905189219005, 1.3176468091046978, 2.859501587439871, 2.071143597697395, -0.6721987098346065, -2.3614053081497155, -1.208495580226032, 0.9925975825375519, 1.360054397454798, -0.12670694863977264, -0.7854551138596458, 0.6573103424644066, 1.887395723070341, 0.15213424631926076, -3.4306917694929826, -4.639953103709222, -1.4962245787787856, 2.8418962541954893, 3.785050580595696, 1.012670375946274, -1.2853313510988222, 0.05731599712902824, 3.175070163011367, 3.8551327276995186, 1.1361050438261906, -1.6271136544910176, -1.3384683982814896, 0.9953578560022889, 2.078760633166884, 0.8247100339662216, -0.6988684176151158, -0.6351441256768284, 0.2144465200025027, 0.18132810478917172, -0.4440969279178654, -0.08338578873517825, 1.1168737527291797, 1.0165368586884524, -1.03427594830926, -2.1679301994348807, 0.6796706877191891, 5.98060922132119, 8.338265563652891, 4.795664421091098, -1.1628481024910426, -3.482752990578141, -0.6718588549790154, 2.8406483689823454, 2.6326123413766496, -0.4138457079189032, -2.072882517365587, -0.6884385844853874, 1.126853218596273, 0.7314493603521106, -0.8678155936928519, -0.9701894463702816, 0.5826989403923803, 1.2791788014952419, -0.09908372590326282, -1.5519697749460641, -0.922108646691242, 0.6926866165421852, 0.4248759875026378, -2.0479405716105212, -3.7811988798131138, -2.652280948713756, -0.3279233953659839, 0.24671232114805303, -0.9178326161078696, -1.2475120697779405, 0.007750203922042026, 0.26914171754802974, -2.2318343154918816, -4.702028214031828, -2.7102940089342433, 3.4143327345951455, 7.715808778906105, 5.401373267014028, -1.1728113964026161, -5.21956662422777, -3.4872638394075786, 0.681712161683243, 2.4321095248894817, 1.1921547833712016, -0.11749701996559189, -0.01920522551254615, -0.02003530571411183, -1.2912078751613603, -2.36556620912513, -1.5043721298130721, 0.2944971616057349, 0.6749155056429896, -0.37891460020929346, -0.5066066920240918, 1.069464502167835, 1.840104193676918, -0.25189240007019703, -3.026697913125287, -2.49882346232993, 1.253520709463308, 3.3694068229179113, 0.484112167363136, -4.371669350703012, -5.346240384894779, -1.2780580485811026, 2.997063564641483, 3.1236738752878463, 0.4325664275852389, -0.8924779163261352, 0.09439038505007821, 0.5957430379981544, -0.8057899051738034, -1.6061417097839326, 0.6992671547846876, 4.336589431692253, 5.27533967282408, 2.705583201201496, -0.02051364985925869, -0.1674025431470025, 1.024999446373159, 0.982187942770691, -0.13471853928178815, -0.19281050543701445, 1.019584121194855, 1.3718720017639379, 0.1830569129277941, -0.22070827307148508, 1.6516323946568399, 3.0873974017628445, 0.4262732623605574, -4.940676334652445, -7.030038206124406, -2.8341961240484577, 3.1032710410789948, 3.985634672839182, -0.7283876143596236, -4.96714916419144, -4.079768971221186, -0.23383539758061528, 1.5272626892605285, 0.1463150778349368, -1.164735145455835, -0.37083202891570255, 0.8604834750014432, 0.596771150517209, -0.20799339922910728, 0.2141323796048359, 1.1243830351342212, 0.5775458614145159, -0.7491964208393321, 0.07150485151831977, 3.515775906976373, 5.950906916232208, 4.352588035069837, 0.7505559242347082, -0.5031162052823506, 1.0806485289698622, 1.6968491033272546, -0.7236629953998269, -3.215955060966253, -2.4101154691598508, -0.0870872745750233, -0.8842709434986065, -5.171043126768724, -7.795830784308743, -5.026513008397285, 0.19386787606682093, 2.281979386714845, 0.4605298024330292, -0.9655660279273696, 0.6992836006273986, 2.9963707761150293, 2.6163768960364733, 0.4127545243874614, -0.34719139754740114, 0.8557962500839548, 1.4114380148754928, 0.09233262141161709, -1.0718041458511003, -0.3570855842438692, 0.8168840578225668, 0.4971853196860215, -0.30119835429568637, 0.6038662097690873, 2.305536289023986, 1.7668691204985503, -0.5401279831744772, 0.4813611457839417, 7.6535715146382435, 15.866336757457185, 16.868570792326928, 9.258345334686261, 0.31938093430679254, -2.8529560842774258, -0.9498777448150866, 0.6748821671422992, -0.032664962997965806, -0.4912670109366574, 0.9248226957086242, 2.0715488832364413, 0.9638789146550271, -0.70931322080798, -0.42226221172577055, 0.8479293224991571, 0.14260616664728687, -2.4344042905046055, -3.4516217430053877, -1.359406891738942, 1.0649180827518598, 0.9846131045346133, -0.32442513007170753, -0.04698436469257512, 1.1826085348767612, 0.25106132916354895, -2.8653079520091476, -4.215151471416496, -1.785417214307459, 0.9586510979138874, 0.06966951126852412, -2.6227548130763503, -1.9857203730601178, 2.3806104348145696, 4.782846961353167, 1.3963156571875974, -3.97513953910319, -4.943742307307045, -1.121800052375472, 1.9895424957250483, 0.9790380505650695, -1.513631239214168, -1.7110528686171333, -0.07842184727504482, 0.5503321870500538, -0.18077920021543836, -0.35504943417218915, 0.2684037499265469, -0.0580153386792503, -1.340071540109979, -1.1697692392882642, 0.9765550913097892, 1.8051059484712504, -1.0390201832627701, -4.565495755869255, -4.17548410100488, -0.726053619371062, 0.16188961255253598, -3.6030557305788173, -6.98175283574223, -4.814358776633157, 0.6408513793525721, 2.8445784569973673, 0.1283744759065004, -2.5787574437553813, -1.3997106358056173, 1.3364489665936456, 1.5716047492211112, -0.23423545991710404, -0.7073657657549693, 0.5143966680248999, 0.5282791586520909, -1.4063015545376347, -2.2027366906302763, -0.016186370528026572, 2.3536242302868655, 1.5477242134597182, -1.2095756803361892, -2.1155264556507287, -0.5777895444516743, 0.478810498494031, -0.2227156022358903, -0.5728784964291208, 0.5780516235407848, 1.006850787854944, -0.6040541650610738, -1.0637898665376653, 2.793964169315049, 7.582984473571557, 6.166392822851022, -2.4069597779330016, -10.147059617205612, -9.642001371702655, -3.0703049524836583, 1.5949820544370488, 1.1108085746243352, -0.6192821953117874, 0.049702141572804025, 1.550813405924077, 1.1082209671735923, -0.2988440917733165, -0.09479677861374823, 1.1870648360022447, 0.9777904765560733, -0.647834659239867, -1.0445808492256505, 0.3260827619112787, 0.9645631182375006, 0.004159294559846545, 0.20476092806408996, 3.0958167727397496, 5.217236996607809, 2.694145111292197, -2.3086661297507085, -3.959658281087788, -1.200711099127342, 0.6969652603091363, -1.7662150685885691, -4.946940000014955, -3.7443572106960117, 0.5841671066556906, 2.5859883429937516, 0.9886727038012124, -0.04347347972474192, 1.6747396198995999, 2.586980424719557, -0.6281927218993235, -5.145193445342221, -5.7685423682499275, -2.441977024752811, 0.15194200591284981, -0.3044773045162889, -1.291422448179674, -0.5625231976338821, 0.36109007770849, -0.3399057706971692, -1.2051482406840226, -0.2509825877058146, 1.1185172231978933, 0.41637721619308704, -1.2517104119282678, -0.8171218215818395, 0.9835420845621292, 0.050723246287262345, -3.844969299812632, -4.931431973137317, 0.4237604805791526, 7.030953836478508, 6.91529054577847, 0.3102419326775716, -4.4890132055325225, -2.3671560489752332, 2.5358569431881732, 3.8138731410988527, 1.405696524689386, -0.29424125366494763, 0.1723744742383792, 0.4594560418997301, -0.31146113245092644, -0.22297321176962537, 1.0571126097916341, 0.9058519191835671, -1.582568023486774, -3.220430059294041, -1.5910401103677658, 0.6550386206965382, -0.27511677848234917, -3.1770303990526694, -3.6601089976975256, -1.0989069895332149, 0.6974494479731059, 0.010702424312683265, -0.3126742353281852, 1.2763657325261324, 1.1967316164047899, -3.537168815187582, -8.982253222698857, -8.675700315511317, -3.0866834406667305, 0.6608502302357481, -1.0411999406828627, -3.595644740645622, -1.8482603987134, 2.1790821872235706, 3.130654892616099, 0.7851472737054586, -0.30410869961314163, 1.5477555155289335, 2.9874612468468165, 1.6474045352001583, -0.2588798361467565, -0.20657500593375597, 0.5710127522305894, -0.026334785886239484, -0.9982852856712934, -0.46393944055038727, 0.42033004015561287, -0.36060758359206363, -1.1242232400975598, 1.2212383754760907, 4.641739789571053, 3.036151018283733, -4.495069028294795, -10.334695750241611, -7.810351660356084, -0.35593310749590873, 3.3618767978155755, 1.1695229196547872, -1.2226590657669183, 0.07557377935077851, 2.0501773544318436, 1.100352354216823, -0.8804035591679351, -0.38864807474599034, 1.4287794679940835, 0.9774318549778586, -1.3917735032581147, -2.04281122102159, -0.4302477981449183, 0.021128347371925177, -1.9960865510091812, -3.289158044729392, -1.6443791883817171, 0.38002896316299517, -0.07156260599093199, -1.2707069317134347, -0.17765854721707808, 1.9288046905058454, 1.551975124719335, -0.7093294999720245, -0.9502407828641951, 1.0955057638744976, 1.2954877419929236, -1.269129945070149, -1.3848646879007078, 4.063151326225431, 9.354704930404523, 6.776422293371219], 'positive_zeros': ['2.02869266521898457107562592482', '2.95586306522584012968412434477', '3.973605443146439357507384154854', '4.74001969428407156303433789350', '6.38875723655144207319327471498', '7.38471099737186479094268554137', '8.16465163560512190107130037261', '9.7439383767131795983777881965', '10.66746383652493975153989959380', '11.61282873055875934231546405030', '12.85210062028917019800951269460', '13.49695412411857827574173621429', '14.72239255969435480263113977964', '15.312429903471033615133623053564', '15.65921161977423049758486097481', '17.27859702225407654456474159731', '18.66205861702241076410655820781', '19.67332837374904176707785809417', '20.114543986506470199116729679757', '21.06213707192202798952184031619', '22.09371637427213327408289017946', '22.778023262732720771571869622283', '23.68418394195364268852201399482', '24.68087380615618303261983685025', '25.57763339565980076064428464718', '26.18164433858772452084417373376', '27.38408501387617685893089678855', '28.124206543908502911977681554698', '29.54215974351522113779346933530', '30.510626519960441604821708450437', '30.68611866829950004250135858821', '31.74792077024186152134447828307', '32.28439865530920948295953421958', '33.389600615088448442843297307402', '33.90382785129470279682576295405', '35.15112102511526720811053003819', '35.87858062891023510296002972700', '37.373878538336873148729247379360', '37.72052980755493257672457305627', '38.70776216822446287498040036144', '39.1280989469890831884511474722', '40.143033376602427358885709539651', '41.36546163850230027467873481748', '41.871325020744521302826938686143', '42.64300249319843618432004760610', '43.21163578323097418077647804192', '44.02780308823669192741260728229', '45.019823997469105847742429629933', '46.525362329598727454957980559934', '46.90626959363712039871509306956', '47.75462415885552869222402422317', '48.738993818566483710468026040311', '49.40296033060659975449572056659', '49.80094493458479236447258937850', '50.74682692140437839849029026087', '51.42803023635598240095547684510', '52.42039825270646119902714277625', '53.51343966011813709436600251992', '54.02980431417531641230701955628', '55.10851350523752031825626368770', '55.565237879918084738050901124675', '56.81732716066869656663849110637', '57.388739943317822700225031377563', '58.25040261907509530674115939818', '59.05342579623450506345976713710', '59.76837281546118763534608580132', '60.15319777091107378731236283278', '61.40317901094497501428538581803', '61.8409314330539109379799211738', '62.31460518038016102130145683927', '64.088898742334485546940520927345', '64.785720903984312434072874810634', '65.51574310960206339317061780129', '66.11283711130629720391209443384', '66.88049479174808586261476989481', '67.250923100543157241468906073612', '68.36428951455136256262497402601', '69.2226116986401306081309529865', '69.97511737168231271326463986660', '70.516151607535566420202344515889', '71.26443980602005935190860882391', '72.28650829319012563923481250933', '73.224193977679583408618349833477', '73.74385018765649117364619037074', '74.79218654110531478119368216767', '75.4959137679832825966481477401', '76.3924234778576766560678504044', '77.09461952366397496565531210219', '77.585983161530640864048033173734', '78.14902072067725798138218037465', '78.92380366678242124492064349513', '79.64110708284171711486285801006', '80.86975520260608007852304334048', '81.6126258978757817826854493840', '82.4585178628060852278989810656', '83.221423693870921147592646114366', '83.88766352457530668691672107445', '84.57987975513052308407627617734', '85.29636709408271455876434715630', '86.102135528828167811142985174272', '86.63120712466586867587770816511', '87.87830457852545207741027454060', '88.212611279997283684217399254755', '89.06066652426835764396815026340', '89.432337639894728972121591087596', '90.46236343728621579063948068336', '91.507116867889499767411831678725', '92.44330846362543394667157525340', '93.38465068888193239434289758253', '93.76450585104604038524984359357', '94.052723771767226196536310556395', '95.2524516696625000915993730370', '95.83256712561350714444328161577', '96.37389812890819177433098008512', '97.16213769431446349562714753153', '98.028562546428119572303689941962', '98.78043058925337960760753754513', '99.76482285101592866521930713054', '100.68088196548781630770411888230', '101.227451165672322068914411630684', '101.728317750762030638643554710293', '102.436678958642230912662519113235', '103.745971066972548799929483232142', '104.109603067817217626847089898007', '104.95691150261596776266559947282', '105.37489747528288526531156875861', '106.2967232385120163286902018425', '106.62581494016404291507381094292', '107.52696126026398455767242384383', '108.57374944692188726885472672175', '109.33510151214276399632238464805', '110.33409379830025230926925622542', '110.960750122466251119882476450014', '111.63929389682062577130612832954', '112.38734561188931103040657196938', '112.74077299833035557215488523032', '113.55903686263219466107979977183', '114.05325451859966191206263529126', '115.40479589109321202401985741619', '115.75810218129029569024255163553', '116.49142886932176933739195984429', '117.521518909112399444991467676043', '117.685400191529883653284935559549', '119.04887149682288819555743490137', '119.74829522902260336940232600872', '120.226493331462934178518315175484', '121.32608852786060322408989253927', '121.683680597438344616539821739536', '122.51681030893004262784962381708', '123.20344496273856696634581749971', '123.90279276898972837485739727217', '124.249762893954437254107051064151', '125.22842648399961755210342795042', '125.58548554533745339546063645586', '127.2028145287967505909284541456', '127.93992316441765914584288582465', '128.428648121926347827405436460282', '128.89574960132609538557327913434', '129.842377223742207034581069892529', '130.40645912044030407058788090464', '130.95839709261267001441065420854', '132.02375859902217123496266923161', '132.71759552370396285293085755909', '133.13668993248023686027921447446', '133.780240226621950853108176890456', '134.85641899280173867328207591926', '135.320695895720924857079542354669', '136.09301513177188132685391901964', '136.95080016883011275684913112321', '137.89401123132911093816279852120', '138.55009680605574407931141677753', '139.3916231877245628734555814110', '139.93069883785988880549034499971', '140.48668486318951803539144647315', '140.920388304385926815794529314415', '141.745106775692780018819129317780', '142.41676348116618365928266596256', '143.52368389247376113160166998444', '143.775548662828302496405584584415', '144.959957272386187032578643841799', '145.63567349090813017676605804386', '146.39728068922727281658849847629', '147.144781266350429077623347338230', '147.68921370700855713992199520157', '148.22852677514498914646699830541', '149.06417024344816681833289715480', '149.86079771706694932460137205159', '150.734859563128958086725349466372', '151.1811307706709737720412657607', '151.74292765592447746533272925920', '152.40239968324311867833307838563', '152.93964380145988706409989562979', '153.98637642595046185330032017984', '155.16224894592812152244169484471', '155.79191577043580665086669604260', '156.24072056864268547295990874616', '157.10310343821198644037639329990', '157.524516875079485931665928318932', '158.31407646589602016984991249073', '158.9964068897622660522780314044', '159.68884607700042995005265949993', '159.95696565442374883801538078631', '161.10105906072563571820126187979', '161.999576504115130396900527750630', '162.33567497482108718552803504687', '163.39347631776609633453408312058', '164.2594291795419370089034135754', '164.3965234647308378470798001245', '165.27072701323535628627907377358', '166.52283428268910359575960275151', '166.79860200822342621242023572666', '167.64149326599160375397595794301', '168.03505909090162452259750823329', '168.79604105624686657623900019866', '169.44606929740524814879739085646', '170.130988847764251626828261875830', '170.63021868225097612004747638214', '171.5447027424091283428554935374', '172.51348629110595711300249098783', '173.26807974995438421144803959729', '174.26851502269300428039091155091', '174.62334461900549629566736399101', '175.19515786694660421479065653754', '175.68819818275550654290908898177', '176.384770138039616909521558801142', '177.37603649869639708397855750674', '177.77770845922239138662771935559', '178.88578637447583720314423901783', '179.377947311398886342718534373194', '179.77218942288546185471291034863', '180.42373245658504369700991998602', '181.76853170352272018032977845476', '182.079814564653492410264956824845', '182.950362253907037336988492710408', '183.8680446290684898659880372148', '184.14960784726742152389567007744', '185.24972680343198276082827648015', '185.692969754830123491703161339441', '186.24312400541461783194515311530', '186.998712509889952094092809887063', '187.41497445232721136190527274307', '188.01318511713596120120414669424', '188.89316466321679136366551823656', '190.0166429238296294617991433390', '190.73558347050368059194739997533', '191.24057096092904479560875541687', '192.02529750265554989838308136897', '192.5633647761478977962655645387', '193.25775370807920519353105350198', '194.1604854757926266379601281636', '194.381269554474026077207298990127', '195.53580771924783684389685756583', '195.92197829677949748368014310090', '196.58695718532061070399291207862', '197.39638660939461179747075001243', '197.966832684818142593936682445715', '198.60693648255098355825260806773', '199.17185489233163264484984099467'], 'prelabel': '1-287-287.199-r0-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.3328223966973418, 'root_angle': 0.14293047261491884, 'root_number': '0.900868889231668468491792675111+0.434091285808065775428195797109*I', 'self_dual': False, 'sign_arg': {'__RealLiteral__': 0, 'data': '0.0714652363075', 'prec': 50}, 'spectral_label': 'r0-0', 'st_group': 'mu(120)', 'symmetry_type': 'unitary', 'types': ['DIR'], 'values': [[1, '2.20987579314816746694227025068+0.286716004749521694947121732114*I']], 'z1': {'__RealLiteral__': 0, 'data': '2.02869266522', 'prec': 44}, 'z2': {'__RealLiteral__': 0, 'data': '2.95586306523', 'prec': 44}, 'z3': {'__RealLiteral__': 0, 'data': '3.97360544315', 'prec': 44}}
-
lfunc_search • Show schema
Hide schema
{'algebraic': True, 'analytic_conductor': 1.3328223966973418, 'bad_primes': [7, 41], 'central_character': '287.199', 'conductor': 287, 'conductor_radical': 287, 'degree': 1, 'index': 0, 'instance_types': ['DIR'], 'instance_urls': ['Character/Dirichlet/287/199'], 'is_instance_Artin': False, 'is_instance_BMF': False, 'is_instance_CMF': False, 'is_instance_DIR': True, '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': '1-287-287.199-r0-0-0', 'motivic_weight': 0, 'mu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'mu_real': [0], 'nu_imag': [], 'nu_real_doubled': [], 'order_of_vanishing': 0, 'prelabel': '1-287-287.199-r0-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.3328223966973418, 'root_angle': 0.07146523630745942, 'self_dual': False, 'spectral_label': 'r0-0', 'z1': {'__RealLiteral__': 0, 'data': '2.02869266522', 'prec': 44}}
-
lfunc_instances • Show schema
Hide schema
{'Lhash': 'dirichlet_L_287.199', 'Lhash_array': ['dirichlet_L_287.199'], 'label': '1-287-287.199-r0-0-0', 'type': 'DIR', 'url': 'Character/Dirichlet/287/199'}