Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [287,3,Mod(124,287)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(287, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([5, 0]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("287.124");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 287 = 7 \cdot 41 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 287.k (of order \(6\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(7.82018358714\) |
Analytic rank: | \(0\) |
Dimension: | \(108\) |
Relative dimension: | \(54\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 124.11 | ||
Character | \(\chi\) | \(=\) | 287.124 |
Dual form | 287.3.k.a.206.11 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/287\mathbb{Z}\right)^\times\).
\(n\) | \(206\) | \(211\) |
\(\chi(n)\) | \(e\left(\frac{5}{6}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.31543 | + | 2.27839i | −0.657713 | + | 1.13919i | 0.323493 | + | 0.946231i | \(0.395143\pi\) |
−0.981206 | + | 0.192962i | \(0.938191\pi\) | |||||||
\(3\) | −0.740318 | + | 0.427423i | −0.246773 | + | 0.142474i | −0.618286 | − | 0.785954i | \(-0.712172\pi\) |
0.371513 | + | 0.928428i | \(0.378839\pi\) | |||||||
\(4\) | −1.46069 | − | 2.52999i | −0.365173 | − | 0.632499i | ||||
\(5\) | −2.81050 | − | 1.62264i | −0.562100 | − | 0.324529i | 0.191888 | − | 0.981417i | \(-0.438539\pi\) |
−0.753988 | + | 0.656888i | \(0.771872\pi\) | |||||||
\(6\) | − | 2.24897i | − | 0.374829i | ||||||
\(7\) | −0.616116 | + | 6.97283i | −0.0880165 | + | 0.996119i | ||||
\(8\) | −2.83768 | −0.354709 | ||||||||
\(9\) | −4.13462 | + | 7.16137i | −0.459402 | + | 0.795708i | ||||
\(10\) | 7.39401 | − | 4.26893i | 0.739401 | − | 0.426893i | ||||
\(11\) | 5.33528 | + | 9.24098i | 0.485026 | + | 0.840089i | 0.999852 | − | 0.0172056i | \(-0.00547697\pi\) |
−0.514826 | + | 0.857294i | \(0.672144\pi\) | |||||||
\(12\) | 2.16275 | + | 1.24867i | 0.180230 | + | 0.104056i | ||||
\(13\) | − | 8.63725i | − | 0.664404i | −0.943208 | − | 0.332202i | \(-0.892208\pi\) | ||
0.943208 | − | 0.332202i | \(-0.107792\pi\) | |||||||
\(14\) | −15.0763 | − | 10.5760i | −1.07688 | − | 0.755428i | ||||
\(15\) | 2.77422 | 0.184948 | ||||||||
\(16\) | 9.57552 | − | 16.5853i | 0.598470 | − | 1.03658i | ||||
\(17\) | 2.92114 | − | 1.68652i | 0.171832 | − | 0.0992070i | −0.411618 | − | 0.911357i | \(-0.635036\pi\) |
0.583449 | + | 0.812150i | \(0.301703\pi\) | |||||||
\(18\) | −10.8776 | − | 18.8405i | −0.604310 | − | 1.04670i | ||||
\(19\) | −21.5923 | − | 12.4663i | −1.13643 | − | 0.656121i | −0.190889 | − | 0.981612i | \(-0.561137\pi\) |
−0.945545 | + | 0.325491i | \(0.894471\pi\) | |||||||
\(20\) | 9.48073i | 0.474037i | ||||||||
\(21\) | −2.52423 | − | 5.42546i | −0.120201 | − | 0.258355i | ||||
\(22\) | −28.0727 | −1.27603 | ||||||||
\(23\) | 5.18948 | − | 8.98844i | 0.225630 | − | 0.390802i | −0.730879 | − | 0.682508i | \(-0.760889\pi\) |
0.956508 | + | 0.291706i | \(0.0942228\pi\) | |||||||
\(24\) | 2.10078 | − | 1.21289i | 0.0875326 | − | 0.0505370i | ||||
\(25\) | −7.23406 | − | 12.5298i | −0.289362 | − | 0.501190i | ||||
\(26\) | 19.6790 | + | 11.3617i | 0.756884 | + | 0.436987i | ||||
\(27\) | − | 14.7625i | − | 0.546760i | ||||||
\(28\) | 18.5412 | − | 8.62640i | 0.662185 | − | 0.308086i | ||||
\(29\) | −34.4810 | −1.18900 | −0.594501 | − | 0.804095i | \(-0.702650\pi\) | ||||
−0.594501 | + | 0.804095i | \(0.702650\pi\) | |||||||
\(30\) | −3.64928 | + | 6.32074i | −0.121643 | + | 0.210691i | ||||
\(31\) | 44.0915 | − | 25.4563i | 1.42231 | − | 0.821170i | 0.425811 | − | 0.904812i | \(-0.359989\pi\) |
0.996496 | + | 0.0836424i | \(0.0266553\pi\) | |||||||
\(32\) | 19.5164 | + | 33.8035i | 0.609889 | + | 1.05636i | ||||
\(33\) | −7.89961 | − | 4.56084i | −0.239382 | − | 0.138207i | ||||
\(34\) | 8.87396i | 0.260999i | ||||||||
\(35\) | 13.0460 | − | 18.5974i | 0.372743 | − | 0.531355i | ||||
\(36\) | 24.1576 | 0.671045 | ||||||||
\(37\) | −2.14020 | + | 3.70694i | −0.0578433 | + | 0.100188i | −0.893497 | − | 0.449069i | \(-0.851756\pi\) |
0.835654 | + | 0.549257i | \(0.185089\pi\) | |||||||
\(38\) | 56.8060 | − | 32.7970i | 1.49490 | − | 0.863079i | ||||
\(39\) | 3.69176 | + | 6.39431i | 0.0946605 | + | 0.163957i | ||||
\(40\) | 7.97529 | + | 4.60453i | 0.199382 | + | 0.115113i | ||||
\(41\) | 6.40312i | 0.156174i | ||||||||
\(42\) | 15.6817 | + | 1.38563i | 0.373374 | + | 0.0329911i | ||||
\(43\) | −6.38866 | −0.148574 | −0.0742868 | − | 0.997237i | \(-0.523668\pi\) | ||||
−0.0742868 | + | 0.997237i | \(0.523668\pi\) | |||||||
\(44\) | 15.5864 | − | 26.9965i | 0.354237 | − | 0.613556i | ||||
\(45\) | 23.2407 | − | 13.4180i | 0.516460 | − | 0.298178i | ||||
\(46\) | 13.6528 | + | 23.6473i | 0.296799 | + | 0.514071i | ||||
\(47\) | −26.2931 | − | 15.1803i | −0.559427 | − | 0.322985i | 0.193489 | − | 0.981103i | \(-0.438020\pi\) |
−0.752915 | + | 0.658117i | \(0.771353\pi\) | |||||||
\(48\) | 16.3712i | 0.341066i | ||||||||
\(49\) | −48.2408 | − | 8.59214i | −0.984506 | − | 0.175350i | ||||
\(50\) | 38.0635 | 0.761270 | ||||||||
\(51\) | −1.44171 | + | 2.49712i | −0.0282689 | + | 0.0489631i | ||||
\(52\) | −21.8522 | + | 12.6164i | −0.420234 | + | 0.242622i | ||||
\(53\) | 33.9460 | + | 58.7962i | 0.640491 | + | 1.10936i | 0.985323 | + | 0.170698i | \(0.0546023\pi\) |
−0.344833 | + | 0.938664i | \(0.612064\pi\) | |||||||
\(54\) | 33.6347 | + | 19.4190i | 0.622865 | + | 0.359612i | ||||
\(55\) | − | 34.6290i | − | 0.629619i | ||||||
\(56\) | 1.74834 | − | 19.7866i | 0.0312203 | − | 0.353333i | ||||
\(57\) | 21.3135 | 0.373921 | ||||||||
\(58\) | 45.3573 | − | 78.5611i | 0.782022 | − | 1.35450i | ||||
\(59\) | 2.95415 | − | 1.70558i | 0.0500703 | − | 0.0289081i | −0.474756 | − | 0.880118i | \(-0.657464\pi\) |
0.524826 | + | 0.851209i | \(0.324130\pi\) | |||||||
\(60\) | −4.05228 | − | 7.01876i | −0.0675380 | − | 0.116979i | ||||
\(61\) | −30.3606 | − | 17.5287i | −0.497715 | − | 0.287356i | 0.230055 | − | 0.973178i | \(-0.426110\pi\) |
−0.727769 | + | 0.685822i | \(0.759443\pi\) | |||||||
\(62\) | 133.943i | 2.16038i | ||||||||
\(63\) | −47.3876 | − | 33.2422i | −0.752185 | − | 0.527655i | ||||
\(64\) | −26.0856 | −0.407587 | ||||||||
\(65\) | −14.0152 | + | 24.2750i | −0.215618 | + | 0.373461i | ||||
\(66\) | 20.7827 | − | 11.9989i | 0.314889 | − | 0.181802i | ||||
\(67\) | 12.5915 | + | 21.8090i | 0.187932 | + | 0.325508i | 0.944561 | − | 0.328337i | \(-0.106488\pi\) |
−0.756628 | + | 0.653845i | \(0.773155\pi\) | |||||||
\(68\) | −8.53376 | − | 4.92697i | −0.125497 | − | 0.0724554i | ||||
\(69\) | 8.87241i | 0.128586i | ||||||||
\(70\) | 25.2110 | + | 54.1874i | 0.360157 | + | 0.774105i | ||||
\(71\) | −111.814 | −1.57484 | −0.787421 | − | 0.616415i | \(-0.788584\pi\) | ||||
−0.787421 | + | 0.616415i | \(0.788584\pi\) | |||||||
\(72\) | 11.7327 | − | 20.3216i | 0.162954 | − | 0.282245i | ||||
\(73\) | −41.8375 | + | 24.1549i | −0.573117 | + | 0.330889i | −0.758393 | − | 0.651797i | \(-0.774015\pi\) |
0.185277 | + | 0.982686i | \(0.440682\pi\) | |||||||
\(74\) | −5.63056 | − | 9.75241i | −0.0760886 | − | 0.131789i | ||||
\(75\) | 10.7110 | + | 6.18400i | 0.142813 | + | 0.0824534i | ||||
\(76\) | 72.8377i | 0.958391i | ||||||||
\(77\) | −67.7229 | + | 31.5085i | −0.879519 | + | 0.409201i | ||||
\(78\) | −19.4249 | −0.249038 | ||||||||
\(79\) | 38.0116 | − | 65.8380i | 0.481160 | − | 0.833393i | −0.518607 | − | 0.855013i | \(-0.673549\pi\) |
0.999766 | + | 0.0216200i | \(0.00688239\pi\) | |||||||
\(80\) | −53.8240 | + | 31.0753i | −0.672800 | + | 0.388441i | ||||
\(81\) | −30.9017 | − | 53.5234i | −0.381503 | − | 0.660782i | ||||
\(82\) | −14.5888 | − | 8.42284i | −0.177912 | − | 0.102718i | ||||
\(83\) | 96.9071i | 1.16756i | 0.811913 | + | 0.583778i | \(0.198426\pi\) | ||||
−0.811913 | + | 0.583778i | \(0.801574\pi\) | |||||||
\(84\) | −10.0393 | + | 14.3112i | −0.119515 | + | 0.170371i | ||||
\(85\) | −10.9465 | −0.128782 | ||||||||
\(86\) | 8.40382 | − | 14.5558i | 0.0977188 | − | 0.169254i | ||||
\(87\) | 25.5269 | − | 14.7380i | 0.293413 | − | 0.169402i | ||||
\(88\) | −15.1398 | − | 26.2229i | −0.172043 | − | 0.297987i | ||||
\(89\) | −98.9342 | − | 57.1197i | −1.11162 | − | 0.641794i | −0.172372 | − | 0.985032i | \(-0.555143\pi\) |
−0.939249 | + | 0.343238i | \(0.888476\pi\) | |||||||
\(90\) | 70.6017i | 0.784463i | ||||||||
\(91\) | 60.2261 | + | 5.32155i | 0.661825 | + | 0.0584785i | ||||
\(92\) | −30.3209 | −0.329575 | ||||||||
\(93\) | −21.7612 | + | 37.6914i | −0.233991 | + | 0.405284i | ||||
\(94\) | 69.1731 | − | 39.9371i | 0.735885 | − | 0.424863i | ||||
\(95\) | 40.4567 | + | 70.0731i | 0.425860 | + | 0.737611i | ||||
\(96\) | −28.8967 | − | 16.6835i | −0.301008 | − | 0.173787i | ||||
\(97\) | − | 17.9041i | − | 0.184578i | −0.995732 | − | 0.0922890i | \(-0.970582\pi\) | ||
0.995732 | − | 0.0922890i | \(-0.0294184\pi\) | |||||||
\(98\) | 83.0334 | − | 98.6088i | 0.847280 | − | 1.00621i | ||||
\(99\) | −88.2374 | −0.891287 | ||||||||
\(100\) | −21.1335 | + | 36.6043i | −0.211335 | + | 0.366043i | ||||
\(101\) | −10.7587 | + | 6.21151i | −0.106521 | + | 0.0615001i | −0.552314 | − | 0.833636i | \(-0.686255\pi\) |
0.445793 | + | 0.895136i | \(0.352922\pi\) | |||||||
\(102\) | −3.79293 | − | 6.56955i | −0.0371856 | − | 0.0644074i | ||||
\(103\) | 10.0055 | + | 5.77666i | 0.0971405 | + | 0.0560841i | 0.547783 | − | 0.836620i | \(-0.315472\pi\) |
−0.450643 | + | 0.892704i | \(0.648805\pi\) | |||||||
\(104\) | 24.5097i | 0.235670i | ||||||||
\(105\) | −1.70924 | + | 19.3442i | −0.0162785 | + | 0.184230i | ||||
\(106\) | −178.614 | −1.68504 | ||||||||
\(107\) | −90.8985 | + | 157.441i | −0.849519 | + | 1.47141i | 0.0321194 | + | 0.999484i | \(0.489774\pi\) |
−0.881638 | + | 0.471926i | \(0.843559\pi\) | |||||||
\(108\) | −37.3491 | + | 21.5635i | −0.345825 | + | 0.199662i | ||||
\(109\) | 29.7295 | + | 51.4930i | 0.272748 | + | 0.472413i | 0.969564 | − | 0.244836i | \(-0.0787342\pi\) |
−0.696817 | + | 0.717249i | \(0.745401\pi\) | |||||||
\(110\) | 78.8983 | + | 45.5519i | 0.717257 | + | 0.414108i | ||||
\(111\) | − | 3.65908i | − | 0.0329647i | ||||||
\(112\) | 109.747 | + | 76.9870i | 0.979883 | + | 0.687384i | ||||
\(113\) | −78.7413 | −0.696826 | −0.348413 | − | 0.937341i | \(-0.613279\pi\) | ||||
−0.348413 | + | 0.937341i | \(0.613279\pi\) | |||||||
\(114\) | −28.0364 | + | 48.5604i | −0.245933 | + | 0.425968i | ||||
\(115\) | −29.1701 | + | 16.8413i | −0.253653 | + | 0.146447i | ||||
\(116\) | 50.3662 | + | 87.2368i | 0.434191 | + | 0.752042i | ||||
\(117\) | 61.8546 | + | 35.7117i | 0.528671 | + | 0.305229i | ||||
\(118\) | 8.97424i | 0.0760529i | ||||||||
\(119\) | 9.96005 | + | 21.4077i | 0.0836979 | + | 0.179896i | ||||
\(120\) | −7.87233 | −0.0656028 | ||||||||
\(121\) | 3.56956 | − | 6.18266i | 0.0295005 | − | 0.0510963i | ||||
\(122\) | 79.8743 | − | 46.1154i | 0.654707 | − | 0.377995i | ||||
\(123\) | −2.73684 | − | 4.74035i | −0.0222507 | − | 0.0385394i | ||||
\(124\) | −128.808 | − | 74.3675i | −1.03878 | − | 0.599738i | ||||
\(125\) | 128.085i | 1.02468i | ||||||||
\(126\) | 138.074 | − | 64.2396i | 1.09582 | − | 0.509838i | ||||
\(127\) | −184.890 | −1.45582 | −0.727912 | − | 0.685671i | \(-0.759509\pi\) | ||||
−0.727912 | + | 0.685671i | \(0.759509\pi\) | |||||||
\(128\) | −43.7521 | + | 75.7809i | −0.341813 | + | 0.592038i | ||||
\(129\) | 4.72964 | − | 2.73066i | 0.0366639 | − | 0.0211679i | ||||
\(130\) | −36.8719 | − | 63.8639i | −0.283630 | − | 0.491261i | ||||
\(131\) | 36.8304 | + | 21.2640i | 0.281148 | + | 0.162321i | 0.633943 | − | 0.773380i | \(-0.281435\pi\) |
−0.352795 | + | 0.935701i | \(0.614769\pi\) | |||||||
\(132\) | 26.6480i | 0.201878i | ||||||||
\(133\) | 100.229 | − | 142.879i | 0.753599 | − | 1.07427i | ||||
\(134\) | −66.2525 | −0.494422 | ||||||||
\(135\) | −23.9543 | + | 41.4901i | −0.177439 | + | 0.307334i | ||||
\(136\) | −8.28924 | + | 4.78579i | −0.0609503 | + | 0.0351896i | ||||
\(137\) | 35.5312 | + | 61.5418i | 0.259352 | + | 0.449210i | 0.966068 | − | 0.258286i | \(-0.0831578\pi\) |
−0.706717 | + | 0.707497i | \(0.749824\pi\) | |||||||
\(138\) | −20.2148 | − | 11.6710i | −0.146484 | − | 0.0845725i | ||||
\(139\) | − | 227.344i | − | 1.63557i | −0.575523 | − | 0.817786i | \(-0.695201\pi\) | ||
0.575523 | − | 0.817786i | \(-0.304799\pi\) | |||||||
\(140\) | −66.1076 | − | 5.84123i | −0.472197 | − | 0.0417230i | ||||
\(141\) | 25.9536 | 0.184068 | ||||||||
\(142\) | 147.083 | − | 254.755i | 1.03579 | − | 1.79405i | ||||
\(143\) | 79.8166 | − | 46.0822i | 0.558158 | − | 0.322253i | ||||
\(144\) | 79.1823 | + | 137.148i | 0.549877 | + | 0.952415i | ||||
\(145\) | 96.9090 | + | 55.9504i | 0.668338 | + | 0.385865i | ||||
\(146\) | − | 127.096i | − | 0.870520i | ||||||
\(147\) | 39.3860 | − | 14.2583i | 0.267932 | − | 0.0969952i | ||||
\(148\) | 12.5047 | 0.0844913 | ||||||||
\(149\) | −23.7000 | + | 41.0496i | −0.159060 | + | 0.275500i | −0.934530 | − | 0.355884i | \(-0.884180\pi\) |
0.775470 | + | 0.631385i | \(0.217513\pi\) | |||||||
\(150\) | −28.1791 | + | 16.2692i | −0.187861 | + | 0.108461i | ||||
\(151\) | −100.321 | − | 173.761i | −0.664378 | − | 1.15074i | −0.979453 | − | 0.201670i | \(-0.935363\pi\) |
0.315075 | − | 0.949067i | \(-0.397970\pi\) | |||||||
\(152\) | 61.2718 | + | 35.3753i | 0.403104 | + | 0.232732i | ||||
\(153\) | 27.8924i | 0.182304i | ||||||||
\(154\) | 17.2960 | − | 195.746i | 0.112312 | − | 1.27108i | ||||
\(155\) | −165.226 | −1.06597 | ||||||||
\(156\) | 10.7850 | − | 18.6803i | 0.0691349 | − | 0.119745i | ||||
\(157\) | 102.521 | − | 59.1907i | 0.653002 | − | 0.377011i | −0.136604 | − | 0.990626i | \(-0.543619\pi\) |
0.789605 | + | 0.613615i | \(0.210285\pi\) | |||||||
\(158\) | 100.003 | + | 173.210i | 0.632930 | + | 1.09627i | ||||
\(159\) | −50.2617 | − | 29.0186i | −0.316111 | − | 0.182507i | ||||
\(160\) | − | 126.673i | − | 0.791705i | ||||||
\(161\) | 59.4776 | + | 41.7233i | 0.369426 | + | 0.259151i | ||||
\(162\) | 162.596 | 1.00368 | ||||||||
\(163\) | −39.0763 | + | 67.6821i | −0.239732 | + | 0.415227i | −0.960637 | − | 0.277806i | \(-0.910393\pi\) |
0.720906 | + | 0.693033i | \(0.243726\pi\) | |||||||
\(164\) | 16.1999 | − | 9.35300i | 0.0987797 | − | 0.0570305i | ||||
\(165\) | 14.8012 | + | 25.6365i | 0.0897044 | + | 0.155373i | ||||
\(166\) | −220.792 | − | 127.474i | −1.33007 | − | 0.767917i | ||||
\(167\) | 162.093i | 0.970619i | 0.874342 | + | 0.485310i | \(0.161293\pi\) | ||||
−0.874342 | + | 0.485310i | \(0.838707\pi\) | |||||||
\(168\) | 7.16294 | + | 15.3957i | 0.0426365 | + | 0.0916410i | ||||
\(169\) | 94.3979 | 0.558567 | ||||||||
\(170\) | 14.3993 | − | 24.9403i | 0.0847016 | − | 0.146707i | ||||
\(171\) | 178.552 | − | 103.087i | 1.04416 | − | 0.602847i | ||||
\(172\) | 9.33187 | + | 16.1633i | 0.0542551 | + | 0.0939726i | ||||
\(173\) | 82.9106 | + | 47.8685i | 0.479252 | + | 0.276696i | 0.720105 | − | 0.693865i | \(-0.244094\pi\) |
−0.240853 | + | 0.970562i | \(0.577427\pi\) | |||||||
\(174\) | 77.5469i | 0.445672i | ||||||||
\(175\) | 91.8249 | − | 42.7221i | 0.524714 | − | 0.244126i | ||||
\(176\) | 204.352 | 1.16109 | ||||||||
\(177\) | −1.45801 | + | 2.52534i | −0.00823732 | + | 0.0142675i | ||||
\(178\) | 260.281 | − | 150.273i | 1.46225 | − | 0.844233i | ||||
\(179\) | −144.889 | − | 250.955i | −0.809436 | − | 1.40198i | −0.913255 | − | 0.407388i | \(-0.866440\pi\) |
0.103820 | − | 0.994596i | \(-0.466894\pi\) | |||||||
\(180\) | −67.8950 | − | 39.1992i | −0.377195 | − | 0.217773i | ||||
\(181\) | 321.597i | 1.77678i | 0.459088 | + | 0.888391i | \(0.348176\pi\) | ||||
−0.459088 | + | 0.888391i | \(0.651824\pi\) | |||||||
\(182\) | −91.3475 | + | 130.218i | −0.501910 | + | 0.715484i | ||||
\(183\) | 29.9687 | 0.163763 | ||||||||
\(184\) | −14.7261 | + | 25.5063i | −0.0800329 | + | 0.138621i | ||||
\(185\) | 12.0301 | − | 6.94557i | 0.0650274 | − | 0.0375436i | ||||
\(186\) | −57.2504 | − | 99.1606i | −0.307798 | − | 0.533122i | ||||
\(187\) | 31.1702 | + | 17.9961i | 0.166685 | + | 0.0962358i | ||||
\(188\) | 88.6950i | 0.471782i | ||||||||
\(189\) | 102.937 | + | 9.09543i | 0.544638 | + | 0.0481240i | ||||
\(190\) | −212.871 | −1.12037 | ||||||||
\(191\) | 105.692 | − | 183.063i | 0.553360 | − | 0.958447i | −0.444669 | − | 0.895695i | \(-0.646679\pi\) |
0.998029 | − | 0.0627526i | \(-0.0199879\pi\) | |||||||
\(192\) | 19.3116 | − | 11.1496i | 0.100581 | − | 0.0580707i | ||||
\(193\) | −90.5625 | − | 156.859i | −0.469236 | − | 0.812740i | 0.530146 | − | 0.847907i | \(-0.322137\pi\) |
−0.999381 | + | 0.0351662i | \(0.988804\pi\) | |||||||
\(194\) | 40.7924 | + | 23.5515i | 0.210270 | + | 0.121399i | ||||
\(195\) | − | 23.9616i | − | 0.122880i | ||||||
\(196\) | 48.7269 | + | 134.599i | 0.248607 | + | 0.686732i | ||||
\(197\) | 72.3346 | 0.367181 | 0.183590 | − | 0.983003i | \(-0.441228\pi\) | ||||
0.183590 | + | 0.983003i | \(0.441228\pi\) | |||||||
\(198\) | 116.070 | − | 201.039i | 0.586211 | − | 1.01535i | ||||
\(199\) | −204.816 | + | 118.251i | −1.02923 | + | 0.594225i | −0.916763 | − | 0.399431i | \(-0.869208\pi\) |
−0.112464 | + | 0.993656i | \(0.535874\pi\) | |||||||
\(200\) | 20.5279 | + | 35.5554i | 0.102640 | + | 0.177777i | ||||
\(201\) | −18.6434 | − | 10.7638i | −0.0927531 | − | 0.0535510i | ||||
\(202\) | − | 32.6831i | − | 0.161798i | ||||||
\(203\) | 21.2443 | − | 240.431i | 0.104652 | − | 1.18439i | ||||
\(204\) | 8.42360 | 0.0412921 | ||||||||
\(205\) | 10.3900 | − | 17.9960i | 0.0506829 | − | 0.0877853i | ||||
\(206\) | −26.3229 | + | 15.1975i | −0.127781 | + | 0.0737745i | ||||
\(207\) | 42.9131 | + | 74.3276i | 0.207309 | + | 0.359070i | ||||
\(208\) | −143.251 | − | 82.7062i | −0.688708 | − | 0.397626i | ||||
\(209\) | − | 266.045i | − | 1.27294i | ||||||
\(210\) | −41.8251 | − | 29.3401i | −0.199167 | − | 0.139715i | ||||
\(211\) | −211.016 | −1.00007 | −0.500037 | − | 0.866004i | \(-0.666680\pi\) | ||||
−0.500037 | + | 0.866004i | \(0.666680\pi\) | |||||||
\(212\) | 99.1694 | − | 171.766i | 0.467780 | − | 0.810219i | ||||
\(213\) | 82.7778 | − | 47.7918i | 0.388628 | − | 0.224375i | ||||
\(214\) | −239.141 | − | 414.204i | −1.11748 | − | 1.93553i | ||||
\(215\) | 17.9553 | + | 10.3665i | 0.0835132 | + | 0.0482164i | ||||
\(216\) | 41.8913i | 0.193941i | ||||||||
\(217\) | 150.337 | + | 323.127i | 0.692796 | + | 1.48906i | ||||
\(218\) | −156.428 | −0.717560 | ||||||||
\(219\) | 20.6487 | − | 35.7646i | 0.0942863 | − | 0.163309i | ||||
\(220\) | −87.6112 | + | 50.5824i | −0.398233 | + | 0.229920i | ||||
\(221\) | −14.5669 | − | 25.2306i | −0.0659135 | − | 0.114166i | ||||
\(222\) | 8.33681 | + | 4.81326i | 0.0375532 | + | 0.0216813i | ||||
\(223\) | 179.692i | 0.805794i | 0.915245 | + | 0.402897i | \(0.131997\pi\) | ||||
−0.915245 | + | 0.402897i | \(0.868003\pi\) | |||||||
\(224\) | −247.730 | + | 115.258i | −1.10594 | + | 0.514545i | ||||
\(225\) | 119.640 | 0.531735 | ||||||||
\(226\) | 103.578 | − | 179.403i | 0.458312 | − | 0.793819i | ||||
\(227\) | 237.200 | − | 136.948i | 1.04494 | − | 0.603294i | 0.123709 | − | 0.992319i | \(-0.460521\pi\) |
0.921227 | + | 0.389025i | \(0.127188\pi\) | |||||||
\(228\) | −31.1325 | − | 53.9231i | −0.136546 | − | 0.236505i | ||||
\(229\) | 311.597 | + | 179.900i | 1.36068 | + | 0.785591i | 0.989715 | − | 0.143054i | \(-0.0456923\pi\) |
0.370969 | + | 0.928645i | \(0.379026\pi\) | |||||||
\(230\) | − | 88.6142i | − | 0.385279i | ||||||
\(231\) | 36.6691 | − | 52.2726i | 0.158741 | − | 0.226289i | ||||
\(232\) | 97.8460 | 0.421750 | ||||||||
\(233\) | −178.266 | + | 308.766i | −0.765091 | + | 1.32518i | 0.175108 | + | 0.984549i | \(0.443973\pi\) |
−0.940199 | + | 0.340627i | \(0.889361\pi\) | |||||||
\(234\) | −162.730 | + | 93.9523i | −0.695428 | + | 0.401506i | ||||
\(235\) | 49.2644 | + | 85.3285i | 0.209636 | + | 0.363100i | ||||
\(236\) | −8.63020 | − | 4.98265i | −0.0365686 | − | 0.0211129i | ||||
\(237\) | 64.9881i | 0.274211i | ||||||||
\(238\) | −61.8767 | − | 5.46739i | −0.259986 | − | 0.0229722i | ||||
\(239\) | −198.688 | −0.831330 | −0.415665 | − | 0.909518i | \(-0.636451\pi\) | ||||
−0.415665 | + | 0.909518i | \(0.636451\pi\) | |||||||
\(240\) | 26.5646 | − | 46.0112i | 0.110686 | − | 0.191713i | ||||
\(241\) | −73.4752 | + | 42.4209i | −0.304876 | + | 0.176020i | −0.644631 | − | 0.764493i | \(-0.722989\pi\) |
0.339755 | + | 0.940514i | \(0.389656\pi\) | |||||||
\(242\) | 9.39098 | + | 16.2657i | 0.0388057 | + | 0.0672135i | ||||
\(243\) | 160.817 | + | 92.8476i | 0.661797 | + | 0.382089i | ||||
\(244\) | 102.416i | 0.419738i | ||||||||
\(245\) | 121.639 | + | 102.426i | 0.496485 | + | 0.418065i | ||||
\(246\) | 14.4005 | 0.0585384 | ||||||||
\(247\) | −107.675 | + | 186.498i | −0.435929 | + | 0.755052i | ||||
\(248\) | −125.117 | + | 72.2366i | −0.504506 | + | 0.291277i | ||||
\(249\) | −41.4203 | − | 71.7421i | −0.166347 | − | 0.288121i | ||||
\(250\) | −291.828 | − | 168.487i | −1.16731 | − | 0.673947i | ||||
\(251\) | − | 108.607i | − | 0.432698i | −0.976316 | − | 0.216349i | \(-0.930585\pi\) | ||
0.976316 | − | 0.216349i | \(-0.0694148\pi\) | |||||||
\(252\) | −14.8839 | + | 168.447i | −0.0590631 | + | 0.668441i | ||||
\(253\) | 110.749 | 0.437744 | ||||||||
\(254\) | 243.209 | − | 421.250i | 0.957514 | − | 1.65846i | ||||
\(255\) | 8.10387 | − | 4.67877i | 0.0317799 | − | 0.0183481i | ||||
\(256\) | −167.277 | − | 289.731i | −0.653424 | − | 1.13176i | ||||
\(257\) | −156.396 | − | 90.2955i | −0.608546 | − | 0.351344i | 0.163850 | − | 0.986485i | \(-0.447609\pi\) |
−0.772396 | + | 0.635141i | \(0.780942\pi\) | |||||||
\(258\) | 14.3679i | 0.0556897i | ||||||||
\(259\) | −24.5293 | − | 17.2072i | −0.0947076 | − | 0.0664370i | ||||
\(260\) | 81.8875 | 0.314952 | ||||||||
\(261\) | 142.566 | − | 246.931i | 0.546230 | − | 0.946098i | ||||
\(262\) | −96.8953 | + | 55.9425i | −0.369829 | + | 0.213521i | ||||
\(263\) | 34.7339 | + | 60.1609i | 0.132068 | + | 0.228749i | 0.924474 | − | 0.381246i | \(-0.124505\pi\) |
−0.792406 | + | 0.609995i | \(0.791172\pi\) | |||||||
\(264\) | 22.4165 | + | 12.9422i | 0.0849111 | + | 0.0490234i | ||||
\(265\) | − | 220.329i | − | 0.831430i | ||||||
\(266\) | 193.689 | + | 416.306i | 0.728153 | + | 1.56506i | ||||
\(267\) | 97.6570 | 0.365757 | ||||||||
\(268\) | 36.7845 | − | 63.7126i | 0.137256 | − | 0.237734i | ||||
\(269\) | −290.015 | + | 167.440i | −1.07812 | + | 0.622455i | −0.930389 | − | 0.366573i | \(-0.880531\pi\) |
−0.147734 | + | 0.989027i | \(0.547198\pi\) | |||||||
\(270\) | −63.0203 | − | 109.154i | −0.233408 | − | 0.404275i | ||||
\(271\) | −259.826 | − | 150.010i | −0.958766 | − | 0.553544i | −0.0629732 | − | 0.998015i | \(-0.520058\pi\) |
−0.895793 | + | 0.444471i | \(0.853392\pi\) | |||||||
\(272\) | − | 64.5972i | − | 0.237490i | ||||||
\(273\) | −46.8610 | + | 21.8024i | −0.171652 | + | 0.0798622i | ||||
\(274\) | −186.955 | −0.682316 | ||||||||
\(275\) | 77.1915 | − | 133.700i | 0.280696 | − | 0.486180i | ||||
\(276\) | 22.4471 | − | 12.9599i | 0.0813302 | − | 0.0469560i | ||||
\(277\) | −71.7616 | − | 124.295i | −0.259067 | − | 0.448718i | 0.706925 | − | 0.707288i | \(-0.250082\pi\) |
−0.965992 | + | 0.258571i | \(0.916748\pi\) | |||||||
\(278\) | 517.978 | + | 299.055i | 1.86323 | + | 1.07574i | ||||
\(279\) | 421.008i | 1.50899i | ||||||||
\(280\) | −37.0204 | + | 52.7734i | −0.132216 | + | 0.188477i | ||||
\(281\) | −194.772 | −0.693138 | −0.346569 | − | 0.938024i | \(-0.612653\pi\) | ||||
−0.346569 | + | 0.938024i | \(0.612653\pi\) | |||||||
\(282\) | −34.1401 | + | 59.1324i | −0.121064 | + | 0.209689i | ||||
\(283\) | −333.054 | + | 192.289i | −1.17687 | + | 0.679466i | −0.955288 | − | 0.295676i | \(-0.904455\pi\) |
−0.221581 | + | 0.975142i | \(0.571122\pi\) | |||||||
\(284\) | 163.326 | + | 282.888i | 0.575090 | + | 0.996085i | ||||
\(285\) | −59.9016 | − | 34.5842i | −0.210181 | − | 0.121348i | ||||
\(286\) | 242.471i | 0.847800i | ||||||||
\(287\) | −44.6479 | − | 3.94506i | −0.155568 | − | 0.0137459i | ||||
\(288\) | −322.772 | −1.12074 | ||||||||
\(289\) | −138.811 | + | 240.428i | −0.480316 | + | 0.831932i | ||||
\(290\) | −254.953 | + | 147.197i | −0.879149 | + | 0.507577i | ||||
\(291\) | 7.65261 | + | 13.2547i | 0.0262976 | + | 0.0455488i | ||||
\(292\) | 122.223 | + | 70.5658i | 0.418574 | + | 0.241664i | ||||
\(293\) | − | 392.535i | − | 1.33971i | −0.742492 | − | 0.669855i | \(-0.766356\pi\) | ||
0.742492 | − | 0.669855i | \(-0.233644\pi\) | |||||||
\(294\) | −19.3235 | + | 108.492i | −0.0657262 | + | 0.369021i | ||||
\(295\) | −11.0702 | −0.0375260 | ||||||||
\(296\) | 6.07320 | − | 10.5191i | 0.0205176 | − | 0.0355375i | ||||
\(297\) | 136.420 | − | 78.7623i | 0.459327 | − | 0.265193i | ||||
\(298\) | −62.3512 | − | 107.995i | −0.209232 | − | 0.362401i | ||||
\(299\) | −77.6354 | − | 44.8228i | −0.259650 | − | 0.149909i | ||||
\(300\) | − | 36.1317i | − | 0.120439i | ||||||
\(301\) | 3.93616 | − | 44.5471i | 0.0130769 | − | 0.147997i | ||||
\(302\) | 527.860 | 1.74788 | ||||||||
\(303\) | 5.30988 | − | 9.19698i | 0.0175244 | − | 0.0303531i | ||||
\(304\) | −413.514 | + | 238.743i | −1.36024 | + | 0.785338i | ||||
\(305\) | 56.8856 | + | 98.5288i | 0.186510 | + | 0.323045i | ||||
\(306\) | −63.5497 | − | 36.6905i | −0.207679 | − | 0.119903i | ||||
\(307\) | 242.848i | 0.791037i | 0.918458 | + | 0.395519i | \(0.129435\pi\) | ||||
−0.918458 | + | 0.395519i | \(0.870565\pi\) | |||||||
\(308\) | 178.639 | + | 125.314i | 0.579996 | + | 0.406865i | ||||
\(309\) | −9.87630 | −0.0319621 | ||||||||
\(310\) | 217.342 | − | 376.448i | 0.701104 | − | 1.21435i | ||||
\(311\) | 428.372 | − | 247.321i | 1.37740 | − | 0.795244i | 0.385556 | − | 0.922684i | \(-0.374010\pi\) |
0.991846 | + | 0.127441i | \(0.0406763\pi\) | |||||||
\(312\) | −10.4760 | − | 18.1450i | −0.0335770 | − | 0.0581570i | ||||
\(313\) | 230.240 | + | 132.929i | 0.735590 | + | 0.424693i | 0.820464 | − | 0.571698i | \(-0.193715\pi\) |
−0.0848734 | + | 0.996392i | \(0.527049\pi\) | |||||||
\(314\) | 311.444i | 0.991859i | ||||||||
\(315\) | 79.2427 | + | 170.321i | 0.251564 | + | 0.540700i | ||||
\(316\) | −222.093 | −0.702826 | ||||||||
\(317\) | −306.001 | + | 530.009i | −0.965303 | + | 1.67195i | −0.256502 | + | 0.966544i | \(0.582570\pi\) |
−0.708800 | + | 0.705409i | \(0.750763\pi\) | |||||||
\(318\) | 132.231 | − | 76.3436i | 0.415821 | − | 0.240074i | ||||
\(319\) | −183.966 | − | 318.638i | −0.576696 | − | 0.998867i | ||||
\(320\) | 73.3135 | + | 42.3276i | 0.229105 | + | 0.132274i | ||||
\(321\) | − | 155.408i | − | 0.484138i | ||||||
\(322\) | −173.300 | + | 80.6289i | −0.538199 | + | 0.250400i | ||||
\(323\) | −84.0985 | −0.260367 | ||||||||
\(324\) | −90.2759 | + | 156.362i | −0.278629 | + | 0.482600i | ||||
\(325\) | −108.223 | + | 62.4824i | −0.332993 | + | 0.192253i | ||||
\(326\) | −102.804 | − | 178.062i | −0.315349 | − | 0.546201i | ||||
\(327\) | −44.0186 | − | 25.4142i | −0.134613 | − | 0.0777191i | ||||
\(328\) | − | 18.1700i | − | 0.0553963i | ||||||
\(329\) | 122.049 | − | 173.984i | 0.370970 | − | 0.528828i | ||||
\(330\) | −77.8797 | −0.235999 | ||||||||
\(331\) | 10.1039 | − | 17.5004i | 0.0305253 | − | 0.0528714i | −0.850359 | − | 0.526203i | \(-0.823615\pi\) |
0.880884 | + | 0.473331i | \(0.156949\pi\) | |||||||
\(332\) | 245.174 | − | 141.552i | 0.738477 | − | 0.426360i | ||||
\(333\) | −17.6978 | − | 30.6536i | −0.0531467 | − | 0.0920528i | ||||
\(334\) | −369.311 | − | 213.222i | −1.10572 | − | 0.638389i | ||||
\(335\) | − | 81.7258i | − | 0.243957i | ||||||
\(336\) | −114.154 | − | 10.0865i | −0.339743 | − | 0.0300195i | ||||
\(337\) | 318.992 | 0.946564 | 0.473282 | − | 0.880911i | \(-0.343069\pi\) | ||||
0.473282 | + | 0.880911i | \(0.343069\pi\) | |||||||
\(338\) | −124.173 | + | 215.075i | −0.367377 | + | 0.636316i | ||||
\(339\) | 58.2936 | − | 33.6558i | 0.171958 | − | 0.0992798i | ||||
\(340\) | 15.9894 | + | 27.6945i | 0.0470277 | + | 0.0814544i | ||||
\(341\) | 470.481 | + | 271.633i | 1.37971 | + | 0.796576i | ||||
\(342\) | 542.412i | 1.58600i | ||||||||
\(343\) | 89.6335 | − | 331.081i | 0.261322 | − | 0.965252i | ||||
\(344\) | 18.1290 | 0.0527005 | ||||||||
\(345\) | 14.3968 | − | 24.9359i | 0.0417297 | − | 0.0722780i | ||||
\(346\) | −218.126 | + | 125.935i | −0.630421 | + | 0.363974i | ||||
\(347\) | −131.772 | − | 228.236i | −0.379747 | − | 0.657740i | 0.611279 | − | 0.791415i | \(-0.290655\pi\) |
−0.991025 | + | 0.133675i | \(0.957322\pi\) | |||||||
\(348\) | −74.5740 | − | 43.0553i | −0.214293 | − | 0.123722i | ||||
\(349\) | − | 87.8079i | − | 0.251599i | −0.992056 | − | 0.125799i | \(-0.959850\pi\) | ||
0.992056 | − | 0.125799i | \(-0.0401495\pi\) | |||||||
\(350\) | −23.4515 | + | 265.410i | −0.0670043 | + | 0.758315i | ||||
\(351\) | −127.508 | −0.363270 | ||||||||
\(352\) | −208.251 | + | 360.702i | −0.591623 | + | 1.02472i | ||||
\(353\) | 419.174 | − | 242.010i | 1.18746 | − | 0.685582i | 0.229734 | − | 0.973253i | \(-0.426214\pi\) |
0.957729 | + | 0.287671i | \(0.0928811\pi\) | |||||||
\(354\) | −3.83580 | − | 6.64379i | −0.0108356 | − | 0.0187678i | ||||
\(355\) | 314.253 | + | 181.434i | 0.885219 | + | 0.511081i | ||||
\(356\) | 333.737i | 0.937464i | ||||||||
\(357\) | −16.5237 | − | 11.5913i | −0.0462850 | − | 0.0324687i | ||||
\(358\) | 762.363 | 2.12951 | ||||||||
\(359\) | 208.514 | − | 361.157i | 0.580819 | − | 1.00601i | −0.414563 | − | 0.910021i | \(-0.636066\pi\) |
0.995382 | − | 0.0959882i | \(-0.0306011\pi\) | |||||||
\(360\) | −65.9496 | + | 38.0760i | −0.183193 | + | 0.105767i | ||||
\(361\) | 130.317 | + | 225.716i | 0.360989 | + | 0.625251i | ||||
\(362\) | −732.723 | − | 423.038i | −2.02410 | − | 1.16861i | ||||
\(363\) | 6.10284i | 0.0168122i | ||||||||
\(364\) | −74.5084 | − | 160.145i | −0.204693 | − | 0.439958i | ||||
\(365\) | 156.779 | 0.429532 | ||||||||
\(366\) | −39.4216 | + | 68.2802i | −0.107709 | + | 0.186558i | ||||
\(367\) | −200.173 | + | 115.570i | −0.545429 | + | 0.314904i | −0.747276 | − | 0.664513i | \(-0.768639\pi\) |
0.201847 | + | 0.979417i | \(0.435306\pi\) | |||||||
\(368\) | −99.3840 | − | 172.138i | −0.270065 | − | 0.467767i | ||||
\(369\) | −45.8551 | − | 26.4745i | −0.124269 | − | 0.0717466i | ||||
\(370\) | 36.5455i | 0.0987717i | ||||||||
\(371\) | −430.891 | + | 200.475i | −1.16143 | + | 0.540363i | ||||
\(372\) | 127.146 | 0.341789 | ||||||||
\(373\) | −86.3786 | + | 149.612i | −0.231578 | + | 0.401105i | −0.958273 | − | 0.285856i | \(-0.907722\pi\) |
0.726695 | + | 0.686961i | \(0.241055\pi\) | |||||||
\(374\) | −82.0041 | + | 47.3451i | −0.219262 | + | 0.126591i | ||||
\(375\) | −54.7466 | − | 94.8239i | −0.145991 | − | 0.252864i | ||||
\(376\) | 74.6112 | + | 43.0768i | 0.198434 | + | 0.114566i | ||||
\(377\) | 297.821i | 0.789977i | ||||||||
\(378\) | −156.128 | + | 222.565i | −0.413038 | + | 0.588796i | ||||
\(379\) | 565.822 | 1.49293 | 0.746467 | − | 0.665423i | \(-0.231749\pi\) | ||||
0.746467 | + | 0.665423i | \(0.231749\pi\) | |||||||
\(380\) | 118.190 | − | 204.710i | 0.311025 | − | 0.538712i | ||||
\(381\) | 136.877 | − | 79.0260i | 0.359257 | − | 0.207417i | ||||
\(382\) | 278.059 | + | 481.613i | 0.727904 | + | 1.26077i | ||||
\(383\) | −277.603 | − | 160.274i | −0.724812 | − | 0.418470i | 0.0917092 | − | 0.995786i | \(-0.470767\pi\) |
−0.816521 | + | 0.577315i | \(0.804100\pi\) | |||||||
\(384\) | − | 74.8026i | − | 0.194798i | ||||||
\(385\) | 241.462 | + | 21.3355i | 0.627175 | + | 0.0554168i | ||||
\(386\) | 476.513 | 1.23449 | ||||||||
\(387\) | 26.4147 | − | 45.7516i | 0.0682550 | − | 0.118221i | ||||
\(388\) | −45.2972 | + | 26.1523i | −0.116745 | + | 0.0674030i | ||||
\(389\) | 103.496 | + | 179.260i | 0.266057 | + | 0.460824i | 0.967840 | − | 0.251567i | \(-0.0809459\pi\) |
−0.701783 | + | 0.712390i | \(0.747613\pi\) | |||||||
\(390\) | 54.5938 | + | 31.5197i | 0.139984 | + | 0.0808199i | ||||
\(391\) | − | 35.0086i | − | 0.0895361i | ||||||
\(392\) | 136.892 | + | 24.3817i | 0.349214 | + | 0.0621983i | ||||
\(393\) | −36.3549 | −0.0925061 | ||||||||
\(394\) | −95.1508 | + | 164.806i | −0.241499 | + | 0.418289i | ||||
\(395\) | −213.663 | + | 123.359i | −0.540920 | + | 0.312300i | ||||
\(396\) | 128.888 | + | 223.240i | 0.325474 | + | 0.563738i | ||||
\(397\) | 352.446 | + | 203.485i | 0.887773 | + | 0.512556i | 0.873214 | − | 0.487338i | \(-0.162032\pi\) |
0.0145598 | + | 0.999894i | \(0.495365\pi\) | |||||||
\(398\) | − | 622.201i | − | 1.56332i | ||||||
\(399\) | −13.1316 | + | 148.616i | −0.0329113 | + | 0.372470i | ||||
\(400\) | −277.080 | −0.692699 | ||||||||
\(401\) | 291.875 | − | 505.542i | 0.727867 | − | 1.26070i | −0.229916 | − | 0.973210i | \(-0.573845\pi\) |
0.957783 | − | 0.287492i | \(-0.0928215\pi\) | |||||||
\(402\) | 49.0479 | − | 28.3178i | 0.122010 | − | 0.0704424i | ||||
\(403\) | −219.872 | − | 380.830i | −0.545588 | − | 0.944987i | ||||
\(404\) | 31.4302 | + | 18.1462i | 0.0777974 | + | 0.0449164i | ||||
\(405\) | 200.570i | 0.495234i | ||||||||
\(406\) | 519.848 | + | 364.671i | 1.28041 | + | 0.898205i | ||||
\(407\) | −45.6743 | −0.112222 | ||||||||
\(408\) | 4.09111 | − | 7.08602i | 0.0100272 | − | 0.0173677i | ||||
\(409\) | −369.314 | + | 213.224i | −0.902968 | + | 0.521329i | −0.878162 | − | 0.478363i | \(-0.841230\pi\) |
−0.0248063 | + | 0.999692i | \(0.507897\pi\) | |||||||
\(410\) | 27.3345 | + | 47.3448i | 0.0666696 | + | 0.115475i | ||||
\(411\) | −52.6087 | − | 30.3737i | −0.128002 | − | 0.0739019i | ||||
\(412\) | − | 33.7517i | − | 0.0819216i | ||||||
\(413\) | 10.0726 | + | 21.6496i | 0.0243889 | + | 0.0524203i | ||||
\(414\) | −225.796 | −0.545401 | ||||||||
\(415\) | 157.246 | − | 272.358i | 0.378905 | − | 0.656283i | ||||
\(416\) | 291.969 | − | 168.568i | 0.701849 | − | 0.405213i | ||||
\(417\) | 97.1722 | + | 168.307i | 0.233027 | + | 0.403614i | ||||
\(418\) | 606.152 | + | 349.962i | 1.45013 | + | 0.837230i | ||||
\(419\) | − | 766.420i | − | 1.82916i | −0.404400 | − | 0.914582i | \(-0.632520\pi\) | ||
0.404400 | − | 0.914582i | \(-0.367480\pi\) | |||||||
\(420\) | 51.4373 | − | 23.9315i | 0.122470 | − | 0.0569798i | ||||
\(421\) | −138.782 | −0.329649 | −0.164825 | − | 0.986323i | \(-0.552706\pi\) | ||||
−0.164825 | + | 0.986323i | \(0.552706\pi\) | |||||||
\(422\) | 277.575 | − | 480.775i | 0.657762 | − | 1.13928i | ||||
\(423\) | 217.424 | − | 125.530i | 0.514004 | − | 0.296760i | ||||
\(424\) | −96.3278 | − | 166.845i | −0.227188 | − | 0.393501i | ||||
\(425\) | −42.2633 | − | 24.4007i | −0.0994431 | − | 0.0574135i | ||||
\(426\) | 251.466i | 0.590296i | ||||||||
\(427\) | 140.930 | − | 200.900i | 0.330048 | − | 0.470491i | ||||
\(428\) | 531.099 | 1.24089 | ||||||||
\(429\) | −39.3931 | + | 68.2309i | −0.0918255 | + | 0.159046i | ||||
\(430\) | −47.2379 | + | 27.2728i | −0.109855 | + | 0.0634251i | ||||
\(431\) | 393.063 | + | 680.805i | 0.911979 | + | 1.57959i | 0.811265 | + | 0.584678i | \(0.198779\pi\) |
0.100714 | + | 0.994915i | \(0.467887\pi\) | |||||||
\(432\) | −244.841 | − | 141.359i | −0.566761 | − | 0.327220i | ||||
\(433\) | − | 571.792i | − | 1.32054i | −0.751030 | − | 0.660268i | \(-0.770443\pi\) | ||
0.751030 | − | 0.660268i | \(-0.229557\pi\) | |||||||
\(434\) | −933.964 | − | 82.5246i | −2.15199 | − | 0.190149i | ||||
\(435\) | −95.6579 | −0.219903 | ||||||||
\(436\) | 86.8514 | − | 150.431i | 0.199200 | − | 0.345025i | ||||
\(437\) | −224.105 | + | 129.387i | −0.512827 | + | 0.296081i | ||||
\(438\) | 54.3237 | + | 94.0914i | 0.124027 | + | 0.214821i | ||||
\(439\) | −518.777 | − | 299.516i | −1.18172 | − | 0.682269i | −0.225311 | − | 0.974287i | \(-0.572340\pi\) |
−0.956413 | + | 0.292018i | \(0.905673\pi\) | |||||||
\(440\) | 98.2659i | 0.223332i | ||||||||
\(441\) | 260.989 | − | 309.945i | 0.591812 | − | 0.702823i | ||||
\(442\) | 76.6466 | 0.173409 | ||||||||
\(443\) | −142.116 | + | 246.151i | −0.320802 | + | 0.555646i | −0.980654 | − | 0.195750i | \(-0.937286\pi\) |
0.659851 | + | 0.751396i | \(0.270619\pi\) | |||||||
\(444\) | −9.25746 | + | 5.34480i | −0.0208501 | + | 0.0120378i | ||||
\(445\) | 185.370 | + | 321.070i | 0.416561 | + | 0.721505i | ||||
\(446\) | −409.408 | − | 236.372i | −0.917955 | − | 0.529982i | ||||
\(447\) | − | 40.5197i | − | 0.0906480i | ||||||
\(448\) | 16.0717 | − | 181.890i | 0.0358744 | − | 0.406005i | ||||
\(449\) | −170.899 | −0.380622 | −0.190311 | − | 0.981724i | \(-0.560950\pi\) | ||||
−0.190311 | + | 0.981724i | \(0.560950\pi\) | |||||||
\(450\) | −157.378 | + | 272.587i | −0.349729 | + | 0.605748i | ||||
\(451\) | −59.1711 | + | 34.1625i | −0.131200 | + | 0.0757483i | ||||
\(452\) | 115.017 | + | 199.215i | 0.254462 | + | 0.440741i | ||||
\(453\) | 148.539 | + | 85.7591i | 0.327901 | + | 0.189314i | ||||
\(454\) | 720.579i | 1.58718i | ||||||||
\(455\) | −160.631 | − | 112.682i | −0.353034 | − | 0.247652i | ||||
\(456\) | −60.4808 | −0.132633 | ||||||||
\(457\) | 356.186 | − | 616.932i | 0.779401 | − | 1.34996i | −0.152887 | − | 0.988244i | \(-0.548857\pi\) |
0.932288 | − | 0.361718i | \(-0.117810\pi\) | |||||||
\(458\) | −819.765 | + | 473.291i | −1.78988 | + | 1.03339i | ||||
\(459\) | −24.8973 | − | 43.1234i | −0.0542424 | − | 0.0939507i | ||||
\(460\) | 85.2170 | + | 49.2001i | 0.185254 | + | 0.106957i | ||||
\(461\) | − | 172.115i | − | 0.373352i | −0.982422 | − | 0.186676i | \(-0.940228\pi\) | ||
0.982422 | − | 0.186676i | \(-0.0597715\pi\) | |||||||
\(462\) | 70.8618 | + | 152.307i | 0.153380 | + | 0.329669i | ||||
\(463\) | −151.835 | −0.327937 | −0.163968 | − | 0.986466i | \(-0.552429\pi\) | ||||
−0.163968 | + | 0.986466i | \(0.552429\pi\) | |||||||
\(464\) | −330.174 | + | 571.878i | −0.711582 | + | 1.23250i | ||||
\(465\) | 122.320 | − | 70.6212i | 0.263053 | − | 0.151874i | ||||
\(466\) | −468.992 | − | 812.318i | −1.00642 | − | 1.74317i | ||||
\(467\) | −429.229 | − | 247.815i | −0.919119 | − | 0.530654i | −0.0357654 | − | 0.999360i | \(-0.511387\pi\) |
−0.883354 | + | 0.468706i | \(0.844720\pi\) | |||||||
\(468\) | − | 208.656i | − | 0.445845i | ||||||
\(469\) | −159.829 | + | 74.3612i | −0.340786 | + | 0.158553i | ||||
\(470\) | −259.215 | −0.551521 | ||||||||
\(471\) | −50.5989 | + | 87.6398i | −0.107429 | + | 0.186072i | ||||
\(472\) | −8.38291 | + | 4.83988i | −0.0177604 | + | 0.0102540i | ||||
\(473\) | −34.0853 | − | 59.0375i | −0.0720620 | − | 0.124815i | ||||
\(474\) | −148.068 | − | 85.4871i | −0.312380 | − | 0.180352i | ||||
\(475\) | 360.728i | 0.759427i | ||||||||
\(476\) | 39.6127 | − | 56.4689i | 0.0832200 | − | 0.118632i | ||||
\(477\) | −561.415 | −1.17697 | ||||||||
\(478\) | 261.359 | − | 452.688i | 0.546777 | − | 0.947045i | ||||
\(479\) | −580.212 | + | 334.986i | −1.21130 | + | 0.699344i | −0.963042 | − | 0.269350i | \(-0.913191\pi\) |
−0.248257 | + | 0.968694i | \(0.579858\pi\) | |||||||
\(480\) | 54.1429 | + | 93.7782i | 0.112798 | + | 0.195371i | ||||
\(481\) | 32.0178 | + | 18.4855i | 0.0665650 | + | 0.0384313i | ||||
\(482\) | − | 223.206i | − | 0.463084i | ||||||
\(483\) | −61.8658 | − | 5.46643i | −0.128087 | − | 0.0113177i | ||||
\(484\) | −20.8561 | −0.0430911 | ||||||||
\(485\) | −29.0519 | + | 50.3194i | −0.0599009 | + | 0.103751i | ||||
\(486\) | −423.085 | + | 244.268i | −0.870546 | + | 0.502610i | ||||
\(487\) | −406.384 | − | 703.877i | −0.834463 | − | 1.44533i | −0.894467 | − | 0.447135i | \(-0.852444\pi\) |
0.0600030 | − | 0.998198i | \(-0.480889\pi\) | |||||||
\(488\) | 86.1535 | + | 49.7408i | 0.176544 | + | 0.101928i | ||||
\(489\) | − | 66.8083i | − | 0.136622i | ||||||
\(490\) | −393.372 | + | 142.406i | −0.802801 | + | 0.290625i | ||||
\(491\) | 436.038 | 0.888062 | 0.444031 | − | 0.896011i | \(-0.353548\pi\) | ||||
0.444031 | + | 0.896011i | \(0.353548\pi\) | |||||||
\(492\) | −7.99537 | + | 13.8484i | −0.0162507 | + | 0.0281471i | ||||
\(493\) | −100.724 | + | 58.1529i | −0.204308 | + | 0.117957i | ||||
\(494\) | −283.276 | − | 490.648i | −0.573433 | − | 0.993215i | ||||
\(495\) | 247.991 | + | 143.178i | 0.500993 | + | 0.289248i | ||||
\(496\) | − | 975.028i | − | 1.96578i | ||||||
\(497\) | 68.8902 | − | 779.659i | 0.138612 | − | 1.56873i | ||||
\(498\) | 217.942 | 0.437634 | ||||||||
\(499\) | −100.403 | + | 173.903i | −0.201208 | + | 0.348503i | −0.948918 | − | 0.315523i | \(-0.897820\pi\) |
0.747710 | + | 0.664026i | \(0.231153\pi\) | |||||||
\(500\) | 324.055 | − | 187.093i | 0.648110 | − | 0.374187i | ||||
\(501\) | −69.2824 | − | 120.001i | −0.138288 | − | 0.239522i | ||||
\(502\) | 247.449 | + | 142.865i | 0.492926 | + | 0.284591i | ||||
\(503\) | − | 290.866i | − | 0.578261i | −0.957290 | − | 0.289131i | \(-0.906634\pi\) | ||
0.957290 | − | 0.289131i | \(-0.0933662\pi\) | |||||||
\(504\) | 134.471 | + | 94.3307i | 0.266807 | + | 0.187164i | ||||
\(505\) | 40.3163 | 0.0798342 | ||||||||
\(506\) | −145.683 | + | 252.330i | −0.287910 | + | 0.498675i | ||||
\(507\) | −69.8845 | + | 40.3478i | −0.137839 | + | 0.0795815i | ||||
\(508\) | 270.067 | + | 467.770i | 0.531628 | + | 0.920806i | ||||
\(509\) | 275.851 | + | 159.263i | 0.541948 | + | 0.312894i | 0.745868 | − | 0.666094i | \(-0.232035\pi\) |
−0.203920 | + | 0.978988i | \(0.565368\pi\) | |||||||
\(510\) | 24.6183i | 0.0482712i | ||||||||
\(511\) | −142.651 | − | 306.608i | −0.279161 | − | 0.600016i | ||||
\(512\) | 530.143 | 1.03544 | ||||||||
\(513\) | −184.034 | + | 318.756i | −0.358741 | + | 0.621358i | ||||
\(514\) | 411.456 | − | 237.554i | 0.800498 | − | 0.462168i | ||||
\(515\) | −18.7469 | − | 32.4706i | −0.0364018 | − | 0.0630497i | ||||
\(516\) | −13.8171 | − | 7.97731i | −0.0267773 | − | 0.0154599i | ||||
\(517\) | − | 323.965i | − | 0.626624i | ||||||
\(518\) | 71.4710 | − | 33.2523i | 0.137975 | − | 0.0641937i | ||||
\(519\) | −81.8403 | −0.157688 | ||||||||
\(520\) | 39.7705 | − | 68.8846i | 0.0764818 | − | 0.132470i | ||||
\(521\) | −475.647 | + | 274.615i | −0.912950 | + | 0.527092i | −0.881379 | − | 0.472410i | \(-0.843384\pi\) |
−0.0315708 | + | 0.999502i | \(0.510051\pi\) | |||||||
\(522\) | 375.070 | + | 649.640i | 0.718525 | + | 1.24452i | ||||
\(523\) | 66.5620 | + | 38.4296i | 0.127270 | + | 0.0734792i | 0.562283 | − | 0.826945i | \(-0.309923\pi\) |
−0.435014 | + | 0.900424i | \(0.643256\pi\) | |||||||
\(524\) | − | 124.241i | − | 0.237101i | ||||||
\(525\) | −49.7192 | + | 70.8760i | −0.0947033 | + | 0.135002i | ||||
\(526\) | −182.760 | −0.347452 | ||||||||
\(527\) | 85.8649 | − | 148.722i | 0.162931 | − | 0.282206i | ||||
\(528\) | −151.286 | + | 87.3449i | −0.286526 | + | 0.165426i | ||||
\(529\) | 210.639 | + | 364.837i | 0.398183 | + | 0.689672i | ||||
\(530\) | 501.994 | + | 289.827i | 0.947159 | + | 0.546843i | ||||
\(531\) | 28.2077i | 0.0531218i | ||||||||
\(532\) | −507.885 | − | 44.8765i | −0.954671 | − | 0.0843542i | ||||
\(533\) | 55.3054 | 0.103762 | ||||||||
\(534\) | −128.461 | + | 222.500i | −0.240563 | + | 0.416667i | ||||
\(535\) | 510.941 | − | 294.992i | 0.955029 | − | 0.551386i | ||||
\(536\) | −35.7305 | − | 61.8870i | −0.0666613 | − | 0.115461i | ||||
\(537\) | 214.528 | + | 123.858i | 0.399493 | + | 0.230648i | ||||
\(538\) | − | 881.022i | − | 1.63759i | ||||||
\(539\) | −177.978 | − | 491.634i | −0.330201 | − | 0.912122i | ||||
\(540\) | 139.960 | 0.259184 | ||||||||
\(541\) | −473.959 | + | 820.922i | −0.876080 | + | 1.51742i | −0.0204724 | + | 0.999790i | \(0.506517\pi\) |
−0.855608 | + | 0.517625i | \(0.826816\pi\) | |||||||
\(542\) | 683.563 | − | 394.655i | 1.26119 | − | 0.728146i | ||||
\(543\) | −137.458 | − | 238.084i | −0.253146 | − | 0.438461i | ||||
\(544\) | 114.020 | + | 65.8297i | 0.209596 | + | 0.121010i | ||||
\(545\) | − | 192.962i | − | 0.354058i | ||||||
\(546\) | 11.9680 | − | 135.447i | 0.0219194 | − | 0.248071i | ||||
\(547\) | −124.560 | −0.227714 | −0.113857 | − | 0.993497i | \(-0.536321\pi\) | ||||
−0.113857 | + | 0.993497i | \(0.536321\pi\) | |||||||
\(548\) | 103.800 | − | 179.787i | 0.189416 | − | 0.328079i | ||||
\(549\) | 251.059 | − | 144.949i | 0.457302 | − | 0.264024i | ||||
\(550\) | 203.079 | + | 351.744i | 0.369235 | + | 0.639534i | ||||
\(551\) | 744.523 | + | 429.851i | 1.35122 | + | 0.780128i | ||||
\(552\) | − | 25.1770i | − | 0.0456105i | ||||||
\(553\) | 435.658 | + | 305.612i | 0.787809 | + | 0.552645i | ||||
\(554\) | 377.589 | 0.681568 | ||||||||
\(555\) | −5.93739 | + | 10.2839i | −0.0106980 | + | 0.0185295i | ||||
\(556\) | −575.180 | + | 332.080i | −1.03450 | + | 0.597267i | ||||
\(557\) | 30.1591 | + | 52.2371i | 0.0541456 | + | 0.0937829i | 0.891828 | − | 0.452375i | \(-0.149423\pi\) |
−0.837682 | + | 0.546158i | \(0.816090\pi\) | |||||||
\(558\) | −959.218 | − | 553.805i | −1.71903 | − | 0.992481i | ||||
\(559\) | 55.1805i | 0.0987129i | ||||||||
\(560\) | −183.521 | − | 394.452i | −0.327716 | − | 0.704378i | ||||
\(561\) | −30.7678 | −0.0548445 | ||||||||
\(562\) | 256.208 | − | 443.765i | 0.455886 | − | 0.789618i | ||||
\(563\) | 175.101 | − | 101.094i | 0.311014 | − | 0.179564i | −0.336366 | − | 0.941731i | \(-0.609198\pi\) |
0.647380 | + | 0.762167i | \(0.275865\pi\) | |||||||
\(564\) | −37.9103 | − | 65.6625i | −0.0672168 | − | 0.116423i | ||||
\(565\) | 221.303 | + | 127.769i | 0.391686 | + | 0.226140i | ||||
\(566\) | − | 1011.77i | − | 1.78757i | ||||||
\(567\) | 392.249 | − | 182.496i | 0.691796 | − | 0.321863i | ||||
\(568\) | 317.291 | 0.558611 | ||||||||
\(569\) | −96.8566 | + | 167.760i | −0.170222 | + | 0.294834i | −0.938498 | − | 0.345286i | \(-0.887782\pi\) |
0.768275 | + | 0.640120i | \(0.221115\pi\) | |||||||
\(570\) | 157.592 | − | 90.9860i | 0.276478 | − | 0.159625i | ||||
\(571\) | 340.375 | + | 589.547i | 0.596104 | + | 1.03248i | 0.993390 | + | 0.114787i | \(0.0366187\pi\) |
−0.397286 | + | 0.917695i | \(0.630048\pi\) | |||||||
\(572\) | −233.175 | − | 134.624i | −0.407649 | − | 0.235356i | ||||
\(573\) | 180.700i | 0.315358i | ||||||||
\(574\) | 67.7194 | − | 96.5357i | 0.117978 | − | 0.168181i | ||||
\(575\) | −150.164 | −0.261155 | ||||||||
\(576\) | 107.854 | − | 186.808i | 0.187246 | − | 0.324320i | ||||
\(577\) | 636.220 | − | 367.322i | 1.10263 | − | 0.636606i | 0.165723 | − | 0.986172i | \(-0.447004\pi\) |
0.936912 | + | 0.349566i | \(0.113671\pi\) | |||||||
\(578\) | −365.192 | − | 632.531i | −0.631820 | − | 1.09434i | ||||
\(579\) | 134.090 | + | 77.4170i | 0.231589 | + | 0.133708i | ||||
\(580\) | − | 326.905i | − | 0.563630i | ||||||
\(581\) | −675.717 | − | 59.7060i | −1.16302 | − | 0.102764i | ||||
\(582\) | −40.2658 | −0.0691852 | ||||||||
\(583\) | −362.223 | + | 627.389i | −0.621309 | + | 1.07614i | ||||
\(584\) | 118.721 | − | 68.5438i | 0.203290 | − | 0.117369i | ||||
\(585\) | −115.895 | − | 200.736i | −0.198111 | − | 0.343138i | ||||
\(586\) | 894.345 | + | 516.351i | 1.52619 | + | 0.881144i | ||||
\(587\) | 462.339i | 0.787631i | 0.919190 | + | 0.393815i | \(0.128845\pi\) | ||||
−0.919190 | + | 0.393815i | \(0.871155\pi\) | |||||||
\(588\) | −93.6043 | − | 78.8194i | −0.159191 | − | 0.134047i | ||||
\(589\) | −1269.38 | −2.15515 | ||||||||
\(590\) | 14.5620 | − | 25.2221i | 0.0246813 | − | 0.0427493i | ||||
\(591\) | −53.5506 | + | 30.9174i | −0.0906101 | + | 0.0523138i | ||||
\(592\) | 40.9871 | + | 70.9918i | 0.0692350 | + | 0.119919i | ||||
\(593\) | −44.0297 | − | 25.4206i | −0.0742491 | − | 0.0428677i | 0.462416 | − | 0.886663i | \(-0.346983\pi\) |
−0.536665 | + | 0.843795i | \(0.680316\pi\) | |||||||
\(594\) | 414.424i | 0.697683i | ||||||||
\(595\) | 6.74429 | − | 76.3279i | 0.0113349 | − | 0.128282i | ||||
\(596\) | 138.474 | 0.232338 | ||||||||
\(597\) | 101.086 | − | 175.086i | 0.169324 | − | 0.293277i | ||||
\(598\) | 204.247 | − | 117.922i | 0.341551 | − | 0.197194i | ||||
\(599\) | 232.893 | + | 403.383i | 0.388803 | + | 0.673427i | 0.992289 | − | 0.123947i | \(-0.0395552\pi\) |
−0.603485 | + | 0.797374i | \(0.706222\pi\) | |||||||
\(600\) | −30.3944 | − | 17.5482i | −0.0506573 | − | 0.0292470i | ||||
\(601\) | 764.479i | 1.27201i | 0.771684 | + | 0.636006i | \(0.219415\pi\) | ||||
−0.771684 | + | 0.636006i | \(0.780585\pi\) | |||||||
\(602\) | 96.3177 | + | 67.5665i | 0.159996 | + | 0.112237i | ||||
\(603\) | −208.244 | −0.345346 | ||||||||
\(604\) | −293.077 | + | 507.624i | −0.485226 | + | 0.840437i | ||||
\(605\) | −20.0645 | + | 11.5842i | −0.0331644 | + | 0.0191475i | ||||
\(606\) | 13.9695 | + | 24.1959i | 0.0230520 | + | 0.0399272i | ||||
\(607\) | −536.851 | − | 309.951i | −0.884433 | − | 0.510628i | −0.0123157 | − | 0.999924i | \(-0.503920\pi\) |
−0.872118 | + | 0.489296i | \(0.837254\pi\) | |||||||
\(608\) | − | 973.191i | − | 1.60064i | ||||||
\(609\) | 87.0379 | + | 187.075i | 0.142919 | + | 0.307184i | ||||
\(610\) | −299.315 | −0.490681 | ||||||||
\(611\) | −131.116 | + | 227.100i | −0.214593 | + | 0.371685i | ||||
\(612\) | 70.5677 | − | 40.7423i | 0.115307 | − | 0.0665724i | ||||
\(613\) | 428.807 | + | 742.715i | 0.699522 | + | 1.21161i | 0.968632 | + | 0.248498i | \(0.0799369\pi\) |
−0.269111 | + | 0.963109i | \(0.586730\pi\) | |||||||
\(614\) | −553.302 | − | 319.449i | −0.901144 | − | 0.520275i | ||||
\(615\) | 17.7637i | 0.0288840i | ||||||||
\(616\) | 192.176 | − | 89.4109i | 0.311974 | − | 0.145148i | ||||
\(617\) | 272.951 | 0.442384 | 0.221192 | − | 0.975230i | \(-0.429005\pi\) | ||||
0.221192 | + | 0.975230i | \(0.429005\pi\) | |||||||
\(618\) | 12.9916 | − | 22.5020i | 0.0210219 | − | 0.0364110i | ||||
\(619\) | 405.926 | − | 234.362i | 0.655778 | − | 0.378613i | −0.134889 | − | 0.990861i | \(-0.543068\pi\) |
0.790666 | + | 0.612247i | \(0.209734\pi\) | |||||||
\(620\) | 241.344 | + | 418.020i | 0.389264 | + | 0.674226i | ||||
\(621\) | −132.692 | − | 76.6099i | −0.213675 | − | 0.123365i | ||||
\(622\) | 1301.33i | 2.09217i | ||||||||
\(623\) | 459.241 | − | 654.659i | 0.737144 | − | 1.05082i | ||||
\(624\) | 141.402 | 0.226606 | ||||||||
\(625\) | 26.9853 | − | 46.7399i | 0.0431764 | − | 0.0747838i | ||||
\(626\) | −605.727 | + | 349.717i | −0.967615 | + | 0.558653i | ||||
\(627\) | 113.714 | + | 196.958i | 0.181361 | + | 0.314127i | ||||
\(628\) | −299.504 | − | 172.919i | −0.476917 | − | 0.275348i | ||||
\(629\) | 14.4380i | 0.0229538i | ||||||||
\(630\) | −492.294 | − | 43.4988i | −0.781419 | − | 0.0690457i | ||||
\(631\) | 817.942 | 1.29626 | 0.648132 | − | 0.761528i | \(-0.275551\pi\) | ||||
0.648132 | + | 0.761528i | \(0.275551\pi\) | |||||||
\(632\) | −107.865 | + | 186.827i | −0.170672 | + | 0.295612i | ||||
\(633\) | 156.219 | − | 90.1929i | 0.246791 | − | 0.142485i | ||||
\(634\) | −805.043 | − | 1394.38i | −1.26978 | − | 2.19933i | ||||
\(635\) | 519.632 | + | 300.010i | 0.818318 | + | 0.472456i | ||||
\(636\) | 169.549i | 0.266586i | ||||||||
\(637\) | −74.2125 | + | 416.668i | −0.116503 | + | 0.654110i | ||||
\(638\) | 967.975 | 1.51720 | ||||||||
\(639\) | 462.308 | − | 800.740i | 0.723486 | − | 1.25311i | ||||
\(640\) | 245.931 | − | 141.988i | 0.384267 | − | 0.221856i | ||||
\(641\) | 246.502 | + | 426.954i | 0.384559 | + | 0.666075i | 0.991708 | − | 0.128513i | \(-0.0410203\pi\) |
−0.607149 | + | 0.794588i | \(0.707687\pi\) | |||||||
\(642\) | 354.080 | + | 204.428i | 0.551527 | + | 0.318424i | ||||
\(643\) | 13.7996i | 0.0214613i | 0.999942 | + | 0.0107307i | \(0.00341574\pi\) | ||||
−0.999942 | + | 0.0107307i | \(0.996584\pi\) | |||||||
\(644\) | 18.6812 | − | 211.423i | 0.0290081 | − | 0.328296i | ||||
\(645\) | −17.7235 | −0.0274784 | ||||||||
\(646\) | 110.625 | − | 191.609i | 0.171247 | − | 0.296608i | ||||
\(647\) | 523.870 | − | 302.456i | 0.809691 | − | 0.467475i | −0.0371577 | − | 0.999309i | \(-0.511830\pi\) |
0.846848 | + | 0.531834i | \(0.178497\pi\) | |||||||
\(648\) | 87.6891 | + | 151.882i | 0.135323 | + | 0.234386i | ||||
\(649\) | 31.5224 | + | 18.1995i | 0.0485707 | + | 0.0280423i | ||||
\(650\) | − | 328.764i | − | 0.505791i | ||||||
\(651\) | −249.409 | − | 174.959i | −0.383116 | − | 0.268755i | ||||
\(652\) | 228.314 | 0.350174 | ||||||||
\(653\) | −204.388 | + | 354.010i | −0.312999 | + | 0.542129i | −0.979010 | − | 0.203812i | \(-0.934667\pi\) |
0.666012 | + | 0.745941i | \(0.268000\pi\) | |||||||
\(654\) | 115.806 | − | 66.8609i | 0.177074 | − | 0.102234i | ||||
\(655\) | −69.0078 | − | 119.525i | −0.105355 | − | 0.182481i | ||||
\(656\) | 106.198 | + | 61.3133i | 0.161887 | + | 0.0934654i | ||||
\(657\) | − | 399.485i | − | 0.608045i | ||||||
\(658\) | 235.856 | + | 506.939i | 0.358444 | + | 0.770424i | ||||
\(659\) | −427.176 | −0.648219 | −0.324110 | − | 0.946020i | \(-0.605065\pi\) | ||||
−0.324110 | + | 0.946020i | \(0.605065\pi\) | |||||||
\(660\) | 43.2401 | − | 74.8941i | 0.0655153 | − | 0.113476i | ||||
\(661\) | 533.521 | − | 308.028i | 0.807142 | − | 0.466003i | −0.0388207 | − | 0.999246i | \(-0.512360\pi\) |
0.845962 | + | 0.533243i | \(0.179027\pi\) | |||||||
\(662\) | 26.5818 | + | 46.0411i | 0.0401538 | + | 0.0695485i | ||||
\(663\) | 21.5682 | + | 12.4524i | 0.0325313 | + | 0.0187820i | ||||
\(664\) | − | 274.991i | − | 0.414143i | ||||||
\(665\) | −513.534 | + | 238.925i | −0.772231 | + | 0.359285i | ||||
\(666\) | 93.1208 | 0.139821 | ||||||||
\(667\) | −178.939 | + | 309.931i | −0.268274 | + | 0.464664i | ||||
\(668\) | 410.095 | − | 236.769i | 0.613915 | − | 0.354444i | ||||
\(669\) | −76.8045 | − | 133.029i | −0.114805 | − | 0.198848i | ||||
\(670\) | 186.203 | + | 107.504i | 0.277915 | + | 0.160454i | ||||
\(671\) | − | 374.082i | − | 0.557499i | ||||||
\(672\) | 134.135 | − | 191.213i | 0.199606 | − | 0.284543i | ||||
\(673\) | −383.624 | −0.570021 | −0.285011 | − | 0.958524i | \(-0.591997\pi\) | ||||
−0.285011 | + | 0.958524i | \(0.591997\pi\) | |||||||
\(674\) | −419.610 | + | 726.787i | −0.622567 | + | 1.07832i | ||||
\(675\) | −184.971 | + | 106.793i | −0.274031 | + | 0.158212i | ||||
\(676\) | −137.886 | − | 238.826i | −0.203974 | − | 0.353293i | ||||
\(677\) | 977.315 | + | 564.253i | 1.44360 | + | 0.833461i | 0.998088 | − | 0.0618160i | \(-0.0196892\pi\) |
0.445510 | + | 0.895277i | \(0.353023\pi\) | |||||||
\(678\) | 177.087i | 0.261190i | ||||||||
\(679\) | 124.842 | + | 11.0310i | 0.183862 | + | 0.0162459i | ||||
\(680\) | 31.0625 | 0.0456802 | ||||||||
\(681\) | −117.069 | + | 202.770i | −0.171908 | + | 0.297753i | ||||
\(682\) | −1237.77 | + | 714.625i | −1.81491 | + | 1.04784i | ||||
\(683\) | 363.784 | + | 630.092i | 0.532626 | + | 0.922535i | 0.999274 | + | 0.0380923i | \(0.0121281\pi\) |
−0.466648 | + | 0.884443i | \(0.654539\pi\) | |||||||
\(684\) | −521.618 | − | 301.156i | −0.762599 | − | 0.440287i | ||||
\(685\) | − | 230.618i | − | 0.336668i | ||||||
\(686\) | 636.425 | + | 639.733i | 0.927733 | + | 0.932555i | ||||
\(687\) | −307.574 | −0.447706 | ||||||||
\(688\) | −61.1748 | + | 105.958i | −0.0889169 | + | 0.154009i | ||||
\(689\) | 507.838 | − | 293.200i | 0.737065 | − | 0.425544i | ||||
\(690\) | 37.8757 | + | 65.6027i | 0.0548924 | + | 0.0950764i | ||||
\(691\) | −19.5488 | − | 11.2865i | −0.0282906 | − | 0.0163336i | 0.485788 | − | 0.874077i | \(-0.338533\pi\) |
−0.514079 | + | 0.857743i | \(0.671866\pi\) | |||||||
\(692\) | − | 279.684i | − | 0.404168i | ||||||
\(693\) | 54.3645 | − | 615.265i | 0.0784480 | − | 0.887828i | ||||
\(694\) | 693.346 | 0.999057 | ||||||||
\(695\) | −368.899 | + | 638.952i | −0.530790 | + | 0.919355i | ||||
\(696\) | −72.4372 | + | 41.8216i | −0.104076 | + | 0.0600885i | ||||
\(697\) | 10.7990 | + | 18.7044i | 0.0154935 | + | 0.0268356i | ||||
\(698\) | 200.060 | + | 115.505i | 0.286619 | + | 0.165480i | ||||
\(699\) | − | 304.780i | − | 0.436023i | ||||||
\(700\) | −242.215 | − | 169.913i | −0.346021 | − | 0.242732i | ||||
\(701\) | −226.918 | −0.323707 | −0.161853 | − | 0.986815i | \(-0.551747\pi\) | ||||
−0.161853 | + | 0.986815i | \(0.551747\pi\) | |||||||
\(702\) | 167.727 | − | 290.512i | 0.238927 | − | 0.413834i | ||||
\(703\) | 92.4236 | − | 53.3608i | 0.131470 | − | 0.0759044i | ||||
\(704\) | −139.174 | − | 241.056i | −0.197690 | − | 0.342409i | ||||
\(705\) | −72.9427 | − | 42.1135i | −0.103465 | − | 0.0597354i | ||||
\(706\) | 1273.39i | 1.80367i | ||||||||
\(707\) | −36.6832 | − | 78.8453i | −0.0518858 | − | 0.111521i | ||||
\(708\) | 8.51879 | 0.0120322 | ||||||||
\(709\) | −528.978 | + | 916.217i | −0.746090 | + | 1.29227i | 0.203593 | + | 0.979056i | \(0.434738\pi\) |
−0.949684 | + | 0.313211i | \(0.898595\pi\) | |||||||
\(710\) | −826.753 | + | 477.326i | −1.16444 | + | 0.672290i | ||||
\(711\) | 314.327 | + | 544.431i | 0.442092 | + | 0.765725i | ||||
\(712\) | 280.743 | + | 162.087i | 0.394302 | + | 0.227650i | ||||
\(713\) | − | 528.419i | − | 0.741121i | ||||||
\(714\) | 48.1453 | − | 22.3999i | 0.0674304 | − | 0.0313724i | ||||
\(715\) | −299.100 | −0.418321 | ||||||||
\(716\) | −423.277 | + | 733.137i | −0.591168 | + | 1.02393i | ||||
\(717\) | 147.092 | − | 84.9238i | 0.205150 | − | 0.118443i | ||||
\(718\) | 548.570 | + | 950.151i | 0.764025 | + | 1.32333i | ||||
\(719\) | −955.001 | − | 551.370i | −1.32823 | − | 0.766857i | −0.343208 | − | 0.939259i | \(-0.611514\pi\) |
−0.985027 | + | 0.172403i | \(0.944847\pi\) | |||||||
\(720\) | − | 513.938i | − | 0.713803i | ||||||
\(721\) | −46.4442 | + | 66.2074i | −0.0644164 | + | 0.0918271i | ||||
\(722\) | −685.690 | −0.949709 | ||||||||
\(723\) | 36.2633 | − | 62.8100i | 0.0501568 | − | 0.0868741i | ||||
\(724\) | 813.640 | − | 469.755i | 1.12381 | − | 0.648833i | ||||
\(725\) | 249.438 | + | 432.039i | 0.344052 | + | 0.595916i | ||||
\(726\) | −13.9046 | − | 8.02784i | −0.0191524 | − | 0.0110576i | ||||
\(727\) | 323.401i | 0.444843i | 0.974951 | + | 0.222422i | \(0.0713961\pi\) | ||||
−0.974951 | + | 0.222422i | \(0.928604\pi\) | |||||||
\(728\) | −170.902 | − | 15.1008i | −0.234756 | − | 0.0207429i | ||||
\(729\) | 397.490 | 0.545254 | ||||||||
\(730\) | −206.231 | + | 357.203i | −0.282509 | + | 0.489319i | ||||
\(731\) | −18.6622 | + | 10.7746i | −0.0255296 | + | 0.0147395i | ||||
\(732\) | −43.7750 | − | 75.8205i | −0.0598019 | − | 0.103580i | ||||
\(733\) | 726.564 | + | 419.482i | 0.991220 | + | 0.572281i | 0.905639 | − | 0.424050i | \(-0.139392\pi\) |
0.0855813 | + | 0.996331i | \(0.472725\pi\) | |||||||
\(734\) | − | 608.094i | − | 0.828465i | ||||||
\(735\) | −133.831 | − | 23.8365i | −0.182082 | − | 0.0324306i | ||||
\(736\) | 405.121 | 0.550436 | ||||||||
\(737\) | −134.358 | + | 232.715i | −0.182304 | + | 0.315759i | ||||
\(738\) | 120.638 | − | 69.6505i | 0.163466 | − | 0.0943773i | ||||
\(739\) | 148.154 | + | 256.611i | 0.200479 | + | 0.347240i | 0.948683 | − | 0.316229i | \(-0.102417\pi\) |
−0.748204 | + | 0.663469i | \(0.769083\pi\) | |||||||
\(740\) | −35.1445 | − | 20.2907i | −0.0474926 | − | 0.0274198i | ||||
\(741\) | − | 184.090i | − | 0.248435i | ||||||
\(742\) | 110.047 | − | 1245.44i | 0.148311 | − | 1.67850i | ||||
\(743\) | 419.334 | 0.564379 | 0.282190 | − | 0.959359i | \(-0.408939\pi\) | ||||
0.282190 | + | 0.959359i | \(0.408939\pi\) | |||||||
\(744\) | 61.7511 | − | 106.956i | 0.0829988 | − | 0.143758i | ||||
\(745\) | 133.218 | − | 76.9132i | 0.178816 | − | 0.103239i | ||||
\(746\) | −227.249 | − | 393.607i | −0.304624 | − | 0.527624i | ||||
\(747\) | −693.988 | − | 400.674i | −0.929033 | − | 0.536378i | ||||
\(748\) | − | 105.147i | − | 0.140571i | ||||||
\(749\) | −1041.80 | − | 730.822i | −1.39093 | − | 0.975730i | ||||
\(750\) | 288.060 | 0.384081 | ||||||||
\(751\) | −683.529 | + | 1183.91i | −0.910158 | + | 1.57644i | −0.0963185 | + | 0.995351i | \(0.530707\pi\) |
−0.813840 | + | 0.581090i | \(0.802627\pi\) | |||||||
\(752\) | −503.540 | + | 290.719i | −0.669600 | + | 0.386594i | ||||
\(753\) | 46.4211 | + | 80.4038i | 0.0616483 | + | 0.106778i | ||||
\(754\) | −678.552 | − | 391.762i | −0.899936 | − | 0.519578i | ||||
\(755\) | 651.142i | 0.862439i | ||||||||
\(756\) | −127.347 | − | 273.715i | −0.168449 | − | 0.362057i | ||||
\(757\) | −850.445 | −1.12344 | −0.561720 | − | 0.827327i | \(-0.689860\pi\) | ||||
−0.561720 | + | 0.827327i | \(0.689860\pi\) | |||||||
\(758\) | −744.297 | + | 1289.16i | −0.981922 | + | 1.70074i | ||||
\(759\) | −81.9897 | + | 47.3368i | −0.108023 | + | 0.0623673i | ||||
\(760\) | −114.803 | − | 198.845i | −0.151057 | − | 0.261638i | ||||
\(761\) | −1303.98 | − | 752.856i | −1.71351 | − | 0.989298i | −0.929712 | − | 0.368286i | \(-0.879945\pi\) |
−0.783801 | − | 0.621011i | \(-0.786722\pi\) | |||||||
\(762\) | 415.812i | 0.545685i | ||||||||
\(763\) | −377.369 | + | 175.573i | −0.494586 | + | 0.230109i | ||||
\(764\) | −617.533 | −0.808289 | ||||||||
\(765\) | 45.2595 | − | 78.3917i | 0.0591627 | − | 0.102473i | ||||
\(766\) | 730.333 | − | 421.658i | 0.953437 | − | 0.550467i | ||||
\(767\) | −14.7315 | − | 25.5157i | −0.0192066 | − | 0.0332669i | ||||
\(768\) | 247.676 | + | 142.996i | 0.322494 | + | 0.186192i | ||||
\(769\) | 240.121i | 0.312251i | 0.987737 | + | 0.156126i | \(0.0499004\pi\) | ||||
−0.987737 | + | 0.156126i | \(0.950100\pi\) | |||||||
\(770\) | −366.236 | + | 522.079i | −0.475632 | + | 0.678025i | ||||
\(771\) | 154.377 | 0.200230 | ||||||||
\(772\) | −264.568 | + | 458.245i | −0.342705 | + | 0.593582i | ||||
\(773\) | −351.926 | + | 203.184i | −0.455273 | + | 0.262852i | −0.710054 | − | 0.704147i | \(-0.751330\pi\) |
0.254782 | + | 0.966999i | \(0.417996\pi\) | |||||||
\(774\) | 69.4932 | + | 120.366i | 0.0897844 | + | 0.155511i | ||||
\(775\) | −637.921 | − | 368.304i | −0.823124 | − | 0.475231i | ||||
\(776\) | 50.8059i | 0.0654716i | ||||||||
\(777\) | 25.5142 | + | 2.25442i | 0.0328368 | + | 0.00290144i | ||||
\(778\) | −544.566 | −0.699956 | ||||||||
\(779\) | 79.8232 | − | 138.258i | 0.102469 | − | 0.177481i | ||||
\(780\) | −60.6228 | + | 35.0006i | −0.0777215 | + | 0.0448725i | ||||
\(781\) | −596.558 | − | 1033.27i | −0.763839 | − | 1.32301i | ||||
\(782\) | 79.7631 | + | 46.0513i | 0.101999 | + | 0.0588891i | ||||
\(783\) | 509.027i | 0.650099i | ||||||||
\(784\) | −604.434 | + | 717.814i | −0.770962 | + | 0.915579i | ||||
\(785\) | −384.181 | −0.489403 | ||||||||
\(786\) | 47.8222 | − | 82.8305i | 0.0608425 | − | 0.105382i | ||||
\(787\) | 396.123 | − | 228.702i | 0.503333 | − | 0.290600i | −0.226756 | − | 0.973952i | \(-0.572812\pi\) |
0.730089 | + | 0.683352i | \(0.239479\pi\) | |||||||
\(788\) | −105.659 | − | 183.006i | −0.134084 | − | 0.232241i | ||||
\(789\) | −51.4283 | − | 29.6921i | −0.0651816 | − | 0.0376326i | ||||
\(790\) | − | 649.076i | − | 0.821616i | ||||||
\(791\) | 48.5138 | − | 549.050i | 0.0613322 | − | 0.694122i | ||||
\(792\) | 250.389 | 0.316148 | ||||||||
\(793\) | −151.400 | + | 262.232i | −0.190920 | + | 0.330684i | ||||
\(794\) | −927.234 | + | 535.339i | −1.16780 | + | 0.674230i | ||||
\(795\) | 94.1736 | + | 163.114i | 0.118457 | + | 0.205174i | ||||
\(796\) | 598.347 | + | 345.456i | 0.751693 | + | 0.433990i | ||||
\(797\) | 980.899i | 1.23074i | 0.788239 | + | 0.615369i | \(0.210993\pi\) | ||||
−0.788239 | + | 0.615369i | \(0.789007\pi\) | |||||||
\(798\) | −321.330 | − | 225.412i | −0.402669 | − | 0.282471i | ||||
\(799\) | −102.407 | −0.128170 | ||||||||
\(800\) | 282.366 | − | 489.073i | 0.352958 | − | 0.611341i | ||||
\(801\) | 818.110 | − | 472.336i | 1.02136 | − | 0.589683i | ||||
\(802\) | 767.879 | + | 1330.01i | 0.957455 | + | 1.65836i | ||||
\(803\) | −446.430 | − | 257.746i | −0.555952 | − | 0.320979i | ||||
\(804\) | 62.8901i | 0.0782216i | ||||||||
\(805\) | −99.4598 | − | 213.774i | −0.123553 | − | 0.265558i | ||||
\(806\) | 1156.90 | 1.43536 | ||||||||
\(807\) | 143.136 | − | 247.918i | 0.177368 | − | 0.307210i | ||||
\(808\) | 30.5296 | − | 17.6263i | 0.0377841 | − | 0.0218147i | ||||
\(809\) | 687.444 | + | 1190.69i | 0.849746 | + | 1.47180i | 0.881435 | + | 0.472305i | \(0.156578\pi\) |
−0.0316893 | + | 0.999498i | \(0.510089\pi\) | |||||||
\(810\) | −456.976 | − | 263.835i | −0.564167 | − | 0.325722i | ||||
\(811\) | 224.419i | 0.276718i | 0.990382 | + | 0.138359i | \(0.0441828\pi\) | ||||
−0.990382 | + | 0.138359i | \(0.955817\pi\) | |||||||
\(812\) | −639.319 | + | 297.447i | −0.787339 | + | 0.366314i | ||||
\(813\) | 256.471 | 0.315463 | ||||||||
\(814\) | 60.0812 | − | 104.064i | 0.0738098 | − | 0.127842i | ||||
\(815\) | 219.648 | − | 126.814i | 0.269506 | − | 0.155600i | ||||
\(816\) | 27.6103 | + | 47.8225i | 0.0338362 | + | 0.0586060i | ||||
\(817\) | 137.946 | + | 79.6430i | 0.168844 | + | 0.0974822i | ||||
\(818\) | − | 1121.92i | − | 1.37154i | ||||||
\(819\) | −287.122 | + | 409.299i | −0.350576 | + | 0.499755i | ||||
\(820\) | −60.7063 | −0.0740321 | ||||||||
\(821\) | −247.168 | + | 428.107i | −0.301057 | + | 0.521446i | −0.976376 | − | 0.216080i | \(-0.930673\pi\) |
0.675319 | + | 0.737526i | \(0.264006\pi\) | |||||||
\(822\) | 138.406 | − | 79.9086i | 0.168377 | − | 0.0972124i | ||||
\(823\) | 586.983 | + | 1016.68i | 0.713223 | + | 1.23534i | 0.963641 | + | 0.267201i | \(0.0860988\pi\) |
−0.250417 | + | 0.968138i | \(0.580568\pi\) | |||||||
\(824\) | −28.3923 | − | 16.3923i | −0.0344566 | − | 0.0198936i | ||||
\(825\) | 131.974i | 0.159968i | ||||||||
\(826\) | −62.5759 | − | 5.52917i | −0.0757578 | − | 0.00669391i | ||||
\(827\) | −444.014 | −0.536898 | −0.268449 | − | 0.963294i | \(-0.586511\pi\) | ||||
−0.268449 | + | 0.963294i | \(0.586511\pi\) | |||||||
\(828\) | 125.366 | − | 217.140i | 0.151408 | − | 0.262246i | ||||
\(829\) | 251.653 | − | 145.292i | 0.303563 | − | 0.175262i | −0.340480 | − | 0.940252i | \(-0.610589\pi\) |
0.644042 | + | 0.764990i | \(0.277256\pi\) | |||||||
\(830\) | 413.690 | + | 716.533i | 0.498422 | + | 0.863292i | ||||
\(831\) | 106.253 | + | 61.3451i | 0.127861 | + | 0.0738208i | ||||
\(832\) | 225.308i | 0.270802i | ||||||||
\(833\) | −155.409 | + | 56.2602i | −0.186565 | + | 0.0675392i | ||||
\(834\) | −511.291 | −0.613059 | ||||||||
\(835\) | 263.020 | − | 455.564i | 0.314994 | − | 0.545585i | ||||
\(836\) | −673.092 | + | 388.610i | −0.805134 | + | 0.464844i | ||||
\(837\) | −375.799 | − | 650.903i | −0.448983 | − | 0.777661i | ||||
\(838\) | 1746.20 | + | 1008.17i | 2.08377 | + | 1.20307i | ||||
\(839\) | 52.3089i | 0.0623467i | 0.999514 | + | 0.0311733i | \(0.00992439\pi\) | ||||
−0.999514 | + | 0.0311733i | \(0.990076\pi\) | |||||||
\(840\) | 4.85027 | − | 54.8925i | 0.00577413 | − | 0.0653482i | ||||
\(841\) | 347.942 | 0.413724 | ||||||||
\(842\) | 182.558 | − | 316.200i | 0.216815 | − | 0.375534i | ||||
\(843\) | 144.193 | − | 83.2499i | 0.171048 | − | 0.0987543i | ||||
\(844\) | 308.229 | + | 533.868i | 0.365200 | + | 0.632545i | ||||
\(845\) | −265.305 | − | 153.174i | −0.313971 | − | 0.181271i | ||||
\(846\) | 660.499i | 0.780732i | ||||||||
\(847\) | 40.9114 | + | 28.6992i | 0.0483015 | + | 0.0338833i | ||||
\(848\) | 1300.20 | 1.53326 | ||||||||
\(849\) | 164.377 | − | 284.710i | 0.193613 | − | 0.335347i | ||||
\(850\) | 111.189 | − | 64.1948i | 0.130810 | − | 0.0755233i | ||||
\(851\) | 22.2131 | + | 38.4742i | 0.0261023 | + | 0.0452105i | ||||
\(852\) | −241.826 | − | 139.618i | −0.283833 | − | 0.163871i | ||||
\(853\) | 992.792i | 1.16388i | 0.813231 | + | 0.581941i | \(0.197707\pi\) | ||||
−0.813231 | + | 0.581941i | \(0.802293\pi\) | |||||||
\(854\) | 272.343 | + | 585.362i | 0.318903 | + | 0.685436i | ||||
\(855\) | −669.092 | −0.782564 | ||||||||
\(856\) | 257.941 | − | 446.766i | 0.301332 | − | 0.521923i | ||||
\(857\) | −342.250 | + | 197.598i | −0.399358 | + | 0.230570i | −0.686207 | − | 0.727406i | \(-0.740726\pi\) |
0.286849 | + | 0.957976i | \(0.407392\pi\) | |||||||
\(858\) | −103.638 | − | 179.505i | −0.120790 | − | 0.209214i | ||||
\(859\) | −736.922 | − | 425.462i | −0.857884 | − | 0.495300i | 0.00541904 | − | 0.999985i | \(-0.498275\pi\) |
−0.863303 | + | 0.504686i | \(0.831608\pi\) | |||||||
\(860\) | − | 60.5692i | − | 0.0704293i | ||||||
\(861\) | 34.7399 | − | 16.1629i | 0.0403483 | − | 0.0187723i | ||||
\(862\) | −2068.18 | −2.39928 | ||||||||
\(863\) | −166.810 | + | 288.924i | −0.193291 | + | 0.334790i | −0.946339 | − | 0.323176i | \(-0.895249\pi\) |
0.753048 | + | 0.657966i | \(0.228583\pi\) | |||||||
\(864\) | 499.025 | − | 288.112i | 0.577575 | − | 0.333463i | ||||
\(865\) | −155.347 | − | 269.069i | −0.179592 | − | 0.311062i | ||||
\(866\) | 1302.76 | + | 752.150i | 1.50434 | + | 0.868533i | ||||
\(867\) | − | 237.324i | − | 0.273731i | ||||||
\(868\) | 597.913 | − | 852.340i | 0.688840 | − | 0.981959i | ||||
\(869\) | 811.211 | 0.933499 | ||||||||
\(870\) | 125.831 | − | 217.946i | 0.144633 | − | 0.250512i | ||||
\(871\) | 188.370 | − | 108.756i | 0.216269 | − | 0.124863i | ||||
\(872\) | −84.3627 | − | 146.121i | −0.0967463 | − | 0.167569i | ||||
\(873\) | 128.218 | + | 74.0265i | 0.146870 | + | 0.0847956i | ||||
\(874\) | − | 680.797i | − | 0.778944i | ||||||
\(875\) | −893.118 | − | 78.9154i | −1.02071 | − | 0.0901890i | ||||
\(876\) | −120.646 | −0.137723 | ||||||||
\(877\) | 563.918 | − | 976.734i | 0.643008 | − | 1.11372i | −0.341750 | − | 0.939791i | \(-0.611020\pi\) |
0.984758 | − | 0.173931i | \(-0.0556471\pi\) | |||||||
\(878\) | 1364.83 | − | 787.982i | 1.55447 | − | 0.897474i | ||||
\(879\) | 167.778 | + | 290.601i | 0.190874 | + | 0.330604i | ||||
\(880\) | −574.333 | − | 331.591i | −0.652651 | − | 0.376808i | ||||
\(881\) | − | 1303.89i | − | 1.48002i | −0.672598 | − | 0.740008i | \(-0.734822\pi\) | ||
0.672598 | − | 0.740008i | \(-0.265178\pi\) | |||||||
\(882\) | 362.863 | + | 1002.34i | 0.411409 | + | 1.13644i | ||||
\(883\) | 692.546 | 0.784310 | 0.392155 | − | 0.919899i | \(-0.371730\pi\) | ||||
0.392155 | + | 0.919899i | \(0.371730\pi\) | |||||||
\(884\) | −42.5555 | + | 73.7083i | −0.0481397 | + | 0.0833804i | ||||
\(885\) | 8.19545 | − | 4.73164i | 0.00926039 | − | 0.00534649i | ||||
\(886\) | −373.885 | − | 647.588i | −0.421992 | − | 0.730912i | ||||
\(887\) | −786.305 | − | 453.973i | −0.886477 | − | 0.511808i | −0.0136885 | − | 0.999906i | \(-0.504357\pi\) |
−0.872789 | + | 0.488099i | \(0.837691\pi\) | |||||||
\(888\) | 10.3833i | 0.0116929i | ||||||||
\(889\) | 113.913 | − | 1289.20i | 0.128137 | − | 1.45017i | ||||
\(890\) | −975.361 | −1.09591 | ||||||||
\(891\) | 329.739 | − | 571.124i | 0.370077 | − | 0.640993i | ||||
\(892\) | 454.620 | − | 262.475i | 0.509664 | − | 0.294255i | ||||
\(893\) | 378.484 | + | 655.554i | 0.423835 | + | 0.734103i | ||||
\(894\) | 92.3194 | + | 53.3006i | 0.103266 | + | 0.0596204i | ||||
\(895\) | 940.412i | 1.05074i | ||||||||
\(896\) | −501.451 | − | 351.766i | −0.559655 | − | 0.392596i | ||||
\(897\) | 76.6332 | 0.0854328 | ||||||||
\(898\) | 224.805 | − | 389.374i | 0.250340 | − | 0.433602i | ||||
\(899\) | −1520.32 | + | 877.758i | −1.69113 | + | 0.976372i | ||||
\(900\) | −174.758 | − | 302.689i | −0.194175 | − | 0.336321i | ||||
\(901\) | 198.322 | + | 114.501i | 0.220113 | + | 0.127082i | ||||
\(902\) | − | 179.753i | − | 0.199283i | ||||||
\(903\) | 16.1264 | + | 34.6614i | 0.0178587 | + | 0.0383847i | ||||
\(904\) | 223.442 | 0.247171 | ||||||||
\(905\) | 521.838 | − | 903.850i | 0.576616 | − | 0.998729i | ||||
\(906\) | −390.784 | + | 225.620i | −0.431329 | + | 0.249028i | ||||
\(907\) | −594.166 | − | 1029.13i | −0.655090 | − | 1.13465i | −0.981871 | − | 0.189549i | \(-0.939297\pi\) |
0.326782 | − | 0.945100i | \(-0.394036\pi\) | |||||||
\(908\) | −692.954 | − | 400.077i | −0.763165 | − | 0.440614i | ||||
\(909\) | − | 102.729i | − | 0.113013i | ||||||
\(910\) | 468.030 | − | 217.754i | 0.514319 | − | 0.239290i | ||||
\(911\) | 1096.66 | 1.20379 | 0.601897 | − | 0.798574i | \(-0.294412\pi\) | ||||
0.601897 | + | 0.798574i | \(0.294412\pi\) | |||||||
\(912\) | 204.088 | − | 353.491i | 0.223781 | − | 0.387600i | ||||
\(913\) | −895.517 | + | 517.027i | −0.980851 | + | 0.566294i | ||||
\(914\) | 937.073 | + | 1623.06i | 1.02524 | + | 1.77577i | ||||
\(915\) | −84.2269 | − | 48.6284i | −0.0920513 | − | 0.0531458i | ||||
\(916\) | − | 1051.12i | − | 1.14751i | ||||||
\(917\) | −170.962 | + | 243.711i | −0.186436 | + | 0.265770i | ||||
\(918\) | 131.002 | 0.142704 | ||||||||
\(919\) | −371.006 | + | 642.601i | −0.403706 | + | 0.699240i | −0.994170 | − | 0.107825i | \(-0.965612\pi\) |
0.590464 | + | 0.807064i | \(0.298945\pi\) | |||||||
\(920\) | 82.7752 | − | 47.7903i | 0.0899730 | − | 0.0519460i | ||||
\(921\) | −103.799 | − | 179.785i | −0.112702 | − | 0.195206i | ||||
\(922\) | 392.145 | + | 226.405i | 0.425320 | + | 0.245559i | ||||
\(923\) | 965.764i | 1.04633i | ||||||||
\(924\) | −185.812 | − | 16.4182i | −0.201095 | − | 0.0177686i | ||||
\(925\) | 61.9294 | 0.0669507 | ||||||||
\(926\) | 199.727 | − | 345.938i | 0.215688 | − | 0.373583i | ||||
\(927\) | −82.7376 | + | 47.7686i | −0.0892531 | + | 0.0515303i | ||||
\(928\) | −672.947 | − | 1165.58i | −0.725159 | − | 1.25601i | ||||
\(929\) | −616.054 | − | 355.679i | −0.663136 | − | 0.382862i | 0.130335 | − | 0.991470i | \(-0.458395\pi\) |
−0.793471 | + | 0.608608i | \(0.791728\pi\) | |||||||
\(930\) | 371.588i | 0.399557i | ||||||||
\(931\) | 934.516 | + | 786.908i | 1.00378 | + | 0.845229i | ||||
\(932\) | 1041.57 | 1.11756 | ||||||||
\(933\) | −211.421 | + | 366.192i | −0.226603 | + | 0.392489i | ||||
\(934\) | 1129.24 | − | 651.966i | 1.20903 | − | 0.698036i | ||||
\(935\) | −58.4025 | − | 101.156i | −0.0624626 | − | 0.108188i | ||||
\(936\) | −175.523 | − | 101.338i | −0.187525 | − | 0.108267i | ||||
\(937\) | 71.4737i | 0.0762793i | 0.999272 | + | 0.0381397i | \(0.0121432\pi\) | ||||
−0.999272 | + | 0.0381397i | \(0.987857\pi\) | |||||||
\(938\) | 40.8192 | − | 461.968i | 0.0435173 | − | 0.492503i | ||||
\(939\) | −227.268 | −0.242031 | ||||||||
\(940\) | 143.920 | − | 249.277i | 0.153107 | − | 0.265189i | ||||
\(941\) | 8.28924 | − | 4.78580i | 0.00880897 | − | 0.00508586i | −0.495589 | − | 0.868557i | \(-0.665048\pi\) |
0.504398 | + | 0.863471i | \(0.331714\pi\) | |||||||
\(942\) | −133.118 | − | 230.568i | −0.141314 | − | 0.244764i | ||||
\(943\) | 57.5541 | + | 33.2289i | 0.0610330 | + | 0.0352374i | ||||
\(944\) | − | 65.3272i | − | 0.0692025i | ||||||
\(945\) | −274.545 | − | 192.592i | −0.290524 | − | 0.203801i | ||||
\(946\) | 179.347 | 0.189584 | ||||||||
\(947\) | −99.0022 | + | 171.477i | −0.104543 | + | 0.181074i | −0.913551 | − | 0.406723i | \(-0.866671\pi\) |
0.809008 | + | 0.587797i | \(0.200005\pi\) | |||||||
\(948\) | 164.420 | − | 94.9277i | 0.173438 | − | 0.100135i | ||||
\(949\) | 208.632 | + | 361.361i | 0.219844 | + | 0.380781i | ||||
\(950\) | −821.877 | − | 474.511i | −0.865133 | − | 0.499485i | ||||
\(951\) | − | 523.167i | − | 0.550123i | ||||||
\(952\) | −28.2634 | − | 60.7481i | −0.0296884 | − | 0.0638110i | ||||
\(953\) | −255.788 | −0.268403 | −0.134201 | − | 0.990954i | \(-0.542847\pi\) | ||||
−0.134201 | + | 0.990954i | \(0.542847\pi\) | |||||||
\(954\) | 738.500 | − | 1279.12i | 0.774109 | − | 1.34080i | ||||
\(955\) | −594.093 | + | 343.000i | −0.622087 | + | 0.359162i | ||||
\(956\) | 290.222 | + | 502.679i | 0.303580 | + | 0.525815i | ||||
\(957\) | 272.387 | + | 157.263i | 0.284626 | + | 0.164329i | ||||
\(958\) | − | 1762.60i | − | 1.83987i | ||||||
\(959\) | −451.012 | + | 209.836i | −0.470294 | + | 0.218807i | ||||
\(960\) | −72.3671 | −0.0753824 | ||||||||
\(961\) | 815.542 | − | 1412.56i | 0.848639 | − | 1.46989i | ||||
\(962\) | −84.2340 | + | 48.6325i | −0.0875613 | + | 0.0505536i | ||||
\(963\) | −751.662 | − | 1301.92i | −0.780542 | − | 1.35194i | ||||
\(964\) | 214.649 | + | 123.928i | 0.222665 | + | 0.128556i | ||||
\(965\) | 587.803i | 0.609122i | ||||||||
\(966\) | 93.8346 | − | 133.763i | 0.0971372 | − | 0.138472i | ||||
\(967\) | 1114.91 | 1.15296 | 0.576479 | − | 0.817112i | \(-0.304426\pi\) | ||||
0.576479 | + | 0.817112i | \(0.304426\pi\) | |||||||
\(968\) | −10.1293 | + | 17.5444i | −0.0104641 | + | 0.0181244i | ||||
\(969\) | 62.2597 | − | 35.9456i | 0.0642515 | − | 0.0370956i | ||||
\(970\) | −76.4313 | − | 132.383i | −0.0787952 | − | 0.136477i | ||||
\(971\) | 75.7157 | + | 43.7145i | 0.0779771 | + | 0.0450201i | 0.538482 | − | 0.842637i | \(-0.318998\pi\) |
−0.460505 | + | 0.887657i | \(0.652331\pi\) | |||||||
\(972\) | − | 542.487i | − | 0.558115i | ||||||
\(973\) | 1585.23 | + | 140.070i | 1.62922 | + | 0.143957i | ||||
\(974\) | 2138.27 | 2.19535 | ||||||||
\(975\) | 53.4128 | − | 92.5137i | 0.0547823 | − | 0.0948858i | ||||
\(976\) | −581.437 | + | 335.693i | −0.595735 | + | 0.343948i | ||||
\(977\) | −375.495 | − | 650.376i | −0.384334 | − | 0.665687i | 0.607342 | − | 0.794440i | \(-0.292236\pi\) |
−0.991677 | + | 0.128754i | \(0.958902\pi\) | |||||||
\(978\) | 152.215 | + | 87.8814i | 0.155639 | + | 0.0898583i | ||||
\(979\) | − | 1219.00i | − | 1.24515i | ||||||
\(980\) | 81.4598 | − | 457.358i | 0.0831222 | − | 0.466692i | ||||
\(981\) | −491.681 | −0.501204 | ||||||||
\(982\) | −573.576 | + | 993.463i | −0.584090 | + | 1.01167i | ||||
\(983\) | 1418.51 | − | 818.974i | 1.44304 | − | 0.833138i | 0.444986 | − | 0.895538i | \(-0.353209\pi\) |
0.998051 | + | 0.0623999i | \(0.0198754\pi\) | |||||||
\(984\) | 7.76627 | + | 13.4516i | 0.00789255 | + | 0.0136703i | ||||
\(985\) | −203.296 | − | 117.373i | −0.206392 | − | 0.119161i | ||||
\(986\) | − | 305.983i | − | 0.310328i | ||||||
\(987\) | −15.9904 | + | 180.970i | −0.0162010 | + | 0.183354i | ||||
\(988\) | 629.118 | 0.636759 | ||||||||
\(989\) | −33.1538 | + | 57.4241i | −0.0335226 | + | 0.0580628i | ||||
\(990\) | −652.429 | + | 376.680i | −0.659019 | + | 0.380485i | ||||
\(991\) | −703.430 | − | 1218.38i | −0.709819 | − | 1.22944i | −0.964924 | − | 0.262529i | \(-0.915444\pi\) |
0.255106 | − | 0.966913i | \(-0.417890\pi\) | |||||||
\(992\) | 1721.02 | + | 993.631i | 1.73490 | + | 1.00164i | ||||
\(993\) | 17.2745i | 0.0173963i | ||||||||
\(994\) | 1685.74 | + | 1182.54i | 1.69592 | + | 1.18968i | ||||
\(995\) | 767.515 | 0.771372 | ||||||||
\(996\) | −121.005 | + | 209.586i | −0.121491 | + | 0.210428i | ||||
\(997\) | 529.811 | − | 305.887i | 0.531406 | − | 0.306807i | −0.210183 | − | 0.977662i | \(-0.567406\pi\) |
0.741589 | + | 0.670855i | \(0.234073\pi\) | |||||||
\(998\) | −264.145 | − | 457.513i | −0.264674 | − | 0.458430i | ||||
\(999\) | 54.7238 | + | 31.5948i | 0.0547786 | + | 0.0316264i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 287.3.k.a.124.11 | ✓ | 108 | |
7.3 | odd | 6 | inner | 287.3.k.a.206.11 | yes | 108 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
287.3.k.a.124.11 | ✓ | 108 | 1.1 | even | 1 | trivial | |
287.3.k.a.206.11 | yes | 108 | 7.3 | odd | 6 | inner |