Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [390,2,Mod(67,390)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(390, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([0, 3, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("390.67");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 390 = 2 \cdot 3 \cdot 5 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 390.bn (of order \(12\), degree \(4\), 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: | \(3.11416567883\) |
Analytic rank: | \(0\) |
Dimension: | \(32\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 67.2 | ||
Character | \(\chi\) | \(=\) | 390.67 |
Dual form | 390.2.bn.c.163.2 |
$q$-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 \(\left(\mathbb{Z}/390\mathbb{Z}\right)^\times\).
\(n\) | \(131\) | \(157\) | \(301\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{4}\right)\) | \(e\left(\frac{1}{12}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.500000 | − | 0.866025i | −0.353553 | − | 0.612372i | ||||
\(3\) | −0.965926 | − | 0.258819i | −0.557678 | − | 0.149429i | ||||
\(4\) | −0.500000 | + | 0.866025i | −0.250000 | + | 0.433013i | ||||
\(5\) | 0.0142140 | − | 2.23602i | 0.00635668 | − | 0.999980i | ||||
\(6\) | 0.258819 | + | 0.965926i | 0.105662 | + | 0.394338i | ||||
\(7\) | −3.50522 | − | 2.02374i | −1.32485 | − | 0.764901i | −0.340350 | − | 0.940299i | \(-0.610545\pi\) |
−0.984498 | + | 0.175398i | \(0.943879\pi\) | |||||||
\(8\) | 1.00000 | 0.353553 | ||||||||
\(9\) | 0.866025 | + | 0.500000i | 0.288675 | + | 0.166667i | ||||
\(10\) | −1.94356 | + | 1.10570i | −0.614607 | + | 0.349654i | ||||
\(11\) | −1.40394 | + | 5.23956i | −0.423303 | + | 1.57979i | 0.344299 | + | 0.938860i | \(0.388117\pi\) |
−0.767602 | + | 0.640927i | \(0.778550\pi\) | |||||||
\(12\) | 0.707107 | − | 0.707107i | 0.204124 | − | 0.204124i | ||||
\(13\) | 2.49480 | − | 2.60307i | 0.691933 | − | 0.721962i | ||||
\(14\) | 4.04748i | 1.08173i | ||||||||
\(15\) | −0.592455 | + | 2.15615i | −0.152971 | + | 0.556716i | ||||
\(16\) | −0.500000 | − | 0.866025i | −0.125000 | − | 0.216506i | ||||
\(17\) | −0.0494978 | − | 0.184728i | −0.0120050 | − | 0.0448032i | 0.959664 | − | 0.281151i | \(-0.0907162\pi\) |
−0.971669 | + | 0.236348i | \(0.924050\pi\) | |||||||
\(18\) | − | 1.00000i | − | 0.235702i | ||||||
\(19\) | −6.09967 | + | 1.63440i | −1.39936 | + | 0.374957i | −0.878115 | − | 0.478450i | \(-0.841199\pi\) |
−0.521245 | + | 0.853407i | \(0.674532\pi\) | |||||||
\(20\) | 1.92935 | + | 1.13032i | 0.431415 | + | 0.252747i | ||||
\(21\) | 2.86200 | + | 2.86200i | 0.624539 | + | 0.624539i | ||||
\(22\) | 5.23956 | − | 1.40394i | 1.11708 | − | 0.299320i | ||||
\(23\) | −1.67663 | + | 6.25726i | −0.349601 | + | 1.30473i | 0.537543 | + | 0.843236i | \(0.319352\pi\) |
−0.887144 | + | 0.461492i | \(0.847314\pi\) | |||||||
\(24\) | −0.965926 | − | 0.258819i | −0.197169 | − | 0.0528312i | ||||
\(25\) | −4.99960 | − | 0.0635655i | −0.999919 | − | 0.0127131i | ||||
\(26\) | −3.50172 | − | 0.859025i | −0.686745 | − | 0.168469i | ||||
\(27\) | −0.707107 | − | 0.707107i | −0.136083 | − | 0.136083i | ||||
\(28\) | 3.50522 | − | 2.02374i | 0.662424 | − | 0.382450i | ||||
\(29\) | −2.98976 | + | 1.72614i | −0.555184 | + | 0.320536i | −0.751210 | − | 0.660063i | \(-0.770530\pi\) |
0.196026 | + | 0.980599i | \(0.437196\pi\) | |||||||
\(30\) | 2.16351 | − | 0.564996i | 0.395001 | − | 0.103154i | ||||
\(31\) | 3.55470 | − | 3.55470i | 0.638443 | − | 0.638443i | −0.311728 | − | 0.950171i | \(-0.600908\pi\) |
0.950171 | + | 0.311728i | \(0.100908\pi\) | |||||||
\(32\) | −0.500000 | + | 0.866025i | −0.0883883 | + | 0.153093i | ||||
\(33\) | 2.71220 | − | 4.69766i | 0.472133 | − | 0.817758i | ||||
\(34\) | −0.135230 | + | 0.135230i | −0.0231918 | + | 0.0231918i | ||||
\(35\) | −4.57495 | + | 7.80898i | −0.773307 | + | 1.31996i | ||||
\(36\) | −0.866025 | + | 0.500000i | −0.144338 | + | 0.0833333i | ||||
\(37\) | −6.84301 | + | 3.95081i | −1.12498 | + | 0.649510i | −0.942669 | − | 0.333730i | \(-0.891693\pi\) |
−0.182315 | + | 0.983240i | \(0.558359\pi\) | |||||||
\(38\) | 4.46527 | + | 4.46527i | 0.724362 | + | 0.724362i | ||||
\(39\) | −3.08352 | + | 1.86867i | −0.493758 | + | 0.299227i | ||||
\(40\) | 0.0142140 | − | 2.23602i | 0.00224743 | − | 0.353546i | ||||
\(41\) | −5.73777 | − | 1.53743i | −0.896089 | − | 0.240106i | −0.218753 | − | 0.975780i | \(-0.570199\pi\) |
−0.677336 | + | 0.735674i | \(0.736866\pi\) | |||||||
\(42\) | 1.04756 | − | 3.90956i | 0.161643 | − | 0.603258i | ||||
\(43\) | 4.93758 | − | 1.32302i | 0.752973 | − | 0.201759i | 0.138137 | − | 0.990413i | \(-0.455889\pi\) |
0.614837 | + | 0.788655i | \(0.289222\pi\) | |||||||
\(44\) | −3.83563 | − | 3.83563i | −0.578242 | − | 0.578242i | ||||
\(45\) | 1.13032 | − | 1.92935i | 0.168498 | − | 0.287610i | ||||
\(46\) | 6.25726 | − | 1.67663i | 0.922582 | − | 0.247205i | ||||
\(47\) | − | 2.11952i | − | 0.309164i | −0.987980 | − | 0.154582i | \(-0.950597\pi\) | ||
0.987980 | − | 0.154582i | \(-0.0494031\pi\) | |||||||
\(48\) | 0.258819 | + | 0.965926i | 0.0373573 | + | 0.139419i | ||||
\(49\) | 4.69103 | + | 8.12510i | 0.670147 | + | 1.16073i | ||||
\(50\) | 2.44475 | + | 4.36156i | 0.345740 | + | 0.616818i | ||||
\(51\) | 0.191245i | 0.0267796i | ||||||||
\(52\) | 1.00692 | + | 3.46210i | 0.139635 | + | 0.480106i | ||||
\(53\) | 0.255562 | − | 0.255562i | 0.0351041 | − | 0.0351041i | −0.689337 | − | 0.724441i | \(-0.742098\pi\) |
0.724441 | + | 0.689337i | \(0.242098\pi\) | |||||||
\(54\) | −0.258819 | + | 0.965926i | −0.0352208 | + | 0.131446i | ||||
\(55\) | 11.6958 | + | 3.21371i | 1.57706 | + | 0.433336i | ||||
\(56\) | −3.50522 | − | 2.02374i | −0.468404 | − | 0.270433i | ||||
\(57\) | 6.31484 | 0.836421 | ||||||||
\(58\) | 2.98976 | + | 1.72614i | 0.392574 | + | 0.226653i | ||||
\(59\) | 1.13076 | + | 4.22004i | 0.147212 | + | 0.549403i | 0.999647 | + | 0.0265695i | \(0.00845833\pi\) |
−0.852435 | + | 0.522833i | \(0.824875\pi\) | |||||||
\(60\) | −1.57106 | − | 1.59116i | −0.202822 | − | 0.205418i | ||||
\(61\) | 4.82504 | − | 8.35721i | 0.617783 | − | 1.07003i | −0.372107 | − | 0.928190i | \(-0.621364\pi\) |
0.989889 | − | 0.141841i | \(-0.0453022\pi\) | |||||||
\(62\) | −4.85581 | − | 1.30111i | −0.616689 | − | 0.165241i | ||||
\(63\) | −2.02374 | − | 3.50522i | −0.254967 | − | 0.441616i | ||||
\(64\) | 1.00000 | 0.125000 | ||||||||
\(65\) | −5.78506 | − | 5.61543i | −0.717549 | − | 0.696508i | ||||
\(66\) | −5.42439 | −0.667697 | ||||||||
\(67\) | −6.54148 | − | 11.3302i | −0.799169 | − | 1.38420i | −0.920158 | − | 0.391548i | \(-0.871940\pi\) |
0.120989 | − | 0.992654i | \(-0.461393\pi\) | |||||||
\(68\) | 0.184728 | + | 0.0494978i | 0.0224016 | + | 0.00600249i | ||||
\(69\) | 3.23899 | − | 5.61010i | 0.389929 | − | 0.675377i | ||||
\(70\) | 9.05025 | + | 0.0575307i | 1.08171 | + | 0.00687623i | ||||
\(71\) | 0.0786499 | + | 0.293526i | 0.00933403 | + | 0.0348351i | 0.970436 | − | 0.241359i | \(-0.0775933\pi\) |
−0.961102 | + | 0.276195i | \(0.910927\pi\) | |||||||
\(72\) | 0.866025 | + | 0.500000i | 0.102062 | + | 0.0589256i | ||||
\(73\) | −13.3512 | −1.56264 | −0.781320 | − | 0.624131i | \(-0.785453\pi\) | ||||
−0.781320 | + | 0.624131i | \(0.785453\pi\) | |||||||
\(74\) | 6.84301 | + | 3.95081i | 0.795484 | + | 0.459273i | ||||
\(75\) | 4.81279 | + | 1.35539i | 0.555733 | + | 0.156507i | ||||
\(76\) | 1.63440 | − | 6.09967i | 0.187479 | − | 0.699680i | ||||
\(77\) | 15.5246 | − | 15.5246i | 1.76919 | − | 1.76919i | ||||
\(78\) | 3.16007 | + | 1.73607i | 0.357808 | + | 0.196571i | ||||
\(79\) | − | 2.94298i | − | 0.331111i | −0.986200 | − | 0.165555i | \(-0.947058\pi\) | ||
0.986200 | − | 0.165555i | \(-0.0529417\pi\) | |||||||
\(80\) | −1.94356 | + | 1.10570i | −0.217297 | + | 0.123621i | ||||
\(81\) | 0.500000 | + | 0.866025i | 0.0555556 | + | 0.0962250i | ||||
\(82\) | 1.53743 | + | 5.73777i | 0.169781 | + | 0.633631i | ||||
\(83\) | − | 10.3846i | − | 1.13986i | −0.821693 | − | 0.569930i | \(-0.806970\pi\) | ||
0.821693 | − | 0.569930i | \(-0.193030\pi\) | |||||||
\(84\) | −3.90956 | + | 1.04756i | −0.426568 | + | 0.114299i | ||||
\(85\) | −0.413760 | + | 0.108052i | −0.0448786 | + | 0.0117199i | ||||
\(86\) | −3.61456 | − | 3.61456i | −0.389768 | − | 0.389768i | ||||
\(87\) | 3.33464 | − | 0.893514i | 0.357511 | − | 0.0957948i | ||||
\(88\) | −1.40394 | + | 5.23956i | −0.149660 | + | 0.558539i | ||||
\(89\) | −6.09359 | − | 1.63277i | −0.645919 | − | 0.173073i | −0.0790358 | − | 0.996872i | \(-0.525184\pi\) |
−0.566883 | + | 0.823798i | \(0.691851\pi\) | |||||||
\(90\) | −2.23602 | − | 0.0142140i | −0.235697 | − | 0.00149828i | ||||
\(91\) | −14.0127 | + | 4.07550i | −1.46893 | + | 0.427229i | ||||
\(92\) | −4.58063 | − | 4.58063i | −0.477564 | − | 0.477564i | ||||
\(93\) | −4.35360 | + | 2.51355i | −0.451448 | + | 0.260643i | ||||
\(94\) | −1.83556 | + | 1.05976i | −0.189324 | + | 0.109306i | ||||
\(95\) | 3.56786 | + | 13.6622i | 0.366055 | + | 1.40172i | ||||
\(96\) | 0.707107 | − | 0.707107i | 0.0721688 | − | 0.0721688i | ||||
\(97\) | 4.47453 | − | 7.75012i | 0.454320 | − | 0.786905i | −0.544329 | − | 0.838872i | \(-0.683216\pi\) |
0.998649 | + | 0.0519668i | \(0.0165490\pi\) | |||||||
\(98\) | 4.69103 | − | 8.12510i | 0.473865 | − | 0.820759i | ||||
\(99\) | −3.83563 | + | 3.83563i | −0.385495 | + | 0.385495i | ||||
\(100\) | 2.55485 | − | 4.29799i | 0.255485 | − | 0.429799i | ||||
\(101\) | 7.96916 | − | 4.60100i | 0.792961 | − | 0.457816i | −0.0480430 | − | 0.998845i | \(-0.515298\pi\) |
0.841004 | + | 0.541029i | \(0.181965\pi\) | |||||||
\(102\) | 0.165623 | − | 0.0956223i | 0.0163991 | − | 0.00946802i | ||||
\(103\) | −11.7362 | − | 11.7362i | −1.15640 | − | 1.15640i | −0.985243 | − | 0.171162i | \(-0.945248\pi\) |
−0.171162 | − | 0.985243i | \(-0.554752\pi\) | |||||||
\(104\) | 2.49480 | − | 2.60307i | 0.244635 | − | 0.255252i | ||||
\(105\) | 6.44017 | − | 6.35881i | 0.628496 | − | 0.620556i | ||||
\(106\) | −0.349104 | − | 0.0935422i | −0.0339080 | − | 0.00908562i | ||||
\(107\) | −0.575877 | + | 2.14920i | −0.0556722 | + | 0.207771i | −0.988159 | − | 0.153432i | \(-0.950967\pi\) |
0.932487 | + | 0.361203i | \(0.117634\pi\) | |||||||
\(108\) | 0.965926 | − | 0.258819i | 0.0929463 | − | 0.0249049i | ||||
\(109\) | 2.61160 | + | 2.61160i | 0.250145 | + | 0.250145i | 0.821030 | − | 0.570885i | \(-0.193400\pi\) |
−0.570885 | + | 0.821030i | \(0.693400\pi\) | |||||||
\(110\) | −3.06476 | − | 11.7357i | −0.292213 | − | 1.11896i | ||||
\(111\) | 7.63239 | − | 2.04509i | 0.724434 | − | 0.194112i | ||||
\(112\) | 4.04748i | 0.382450i | ||||||||
\(113\) | 3.63361 | + | 13.5608i | 0.341821 | + | 1.27569i | 0.896282 | + | 0.443484i | \(0.146258\pi\) |
−0.554462 | + | 0.832209i | \(0.687076\pi\) | |||||||
\(114\) | −3.15742 | − | 5.46881i | −0.295720 | − | 0.512201i | ||||
\(115\) | 13.9675 | + | 3.83792i | 1.30248 | + | 0.357888i | ||||
\(116\) | − | 3.45227i | − | 0.320536i | ||||||
\(117\) | 3.46210 | − | 1.00692i | 0.320071 | − | 0.0930902i | ||||
\(118\) | 3.08929 | − | 3.08929i | 0.284392 | − | 0.284392i | ||||
\(119\) | −0.200341 | + | 0.747683i | −0.0183652 | + | 0.0685400i | ||||
\(120\) | −0.592455 | + | 2.15615i | −0.0540835 | + | 0.196829i | ||||
\(121\) | −15.9557 | − | 9.21202i | −1.45052 | − | 0.837457i | ||||
\(122\) | −9.65007 | −0.873677 | ||||||||
\(123\) | 5.14435 | + | 2.97009i | 0.463850 | + | 0.267804i | ||||
\(124\) | 1.30111 | + | 4.85581i | 0.116843 | + | 0.436065i | ||||
\(125\) | −0.213198 | + | 11.1783i | −0.0190690 | + | 0.999818i | ||||
\(126\) | −2.02374 | + | 3.50522i | −0.180289 | + | 0.312269i | ||||
\(127\) | −11.4986 | − | 3.08105i | −1.02034 | − | 0.273399i | −0.290396 | − | 0.956907i | \(-0.593787\pi\) |
−0.729943 | + | 0.683508i | \(0.760454\pi\) | |||||||
\(128\) | −0.500000 | − | 0.866025i | −0.0441942 | − | 0.0765466i | ||||
\(129\) | −5.11175 | −0.450065 | ||||||||
\(130\) | −1.97057 | + | 7.81773i | −0.172831 | + | 0.685660i | ||||
\(131\) | −12.2710 | −1.07213 | −0.536063 | − | 0.844178i | \(-0.680089\pi\) | ||||
−0.536063 | + | 0.844178i | \(0.680089\pi\) | |||||||
\(132\) | 2.71220 | + | 4.69766i | 0.236066 | + | 0.408879i | ||||
\(133\) | 24.6883 | + | 6.61520i | 2.14074 | + | 0.573611i | ||||
\(134\) | −6.54148 | + | 11.3302i | −0.565098 | + | 0.978778i | ||||
\(135\) | −1.59116 | + | 1.57106i | −0.136945 | + | 0.135215i | ||||
\(136\) | −0.0494978 | − | 0.184728i | −0.00424440 | − | 0.0158403i | ||||
\(137\) | −5.28505 | − | 3.05133i | −0.451533 | − | 0.260692i | 0.256945 | − | 0.966426i | \(-0.417284\pi\) |
−0.708477 | + | 0.705734i | \(0.750618\pi\) | |||||||
\(138\) | −6.47799 | −0.551443 | ||||||||
\(139\) | 1.61309 | + | 0.931321i | 0.136821 | + | 0.0789936i | 0.566848 | − | 0.823822i | \(-0.308163\pi\) |
−0.430027 | + | 0.902816i | \(0.641496\pi\) | |||||||
\(140\) | −4.47530 | − | 7.86651i | −0.378232 | − | 0.664841i | ||||
\(141\) | −0.548573 | + | 2.04730i | −0.0461981 | + | 0.172414i | ||||
\(142\) | 0.214876 | − | 0.214876i | 0.0180320 | − | 0.0180320i | ||||
\(143\) | 10.1364 | + | 16.7262i | 0.847649 | + | 1.39872i | ||||
\(144\) | − | 1.00000i | − | 0.0833333i | ||||||
\(145\) | 3.81718 | + | 6.70970i | 0.317000 | + | 0.557210i | ||||
\(146\) | 6.67560 | + | 11.5625i | 0.552477 | + | 0.956917i | ||||
\(147\) | −2.42825 | − | 9.06237i | −0.200279 | − | 0.747452i | ||||
\(148\) | − | 7.90163i | − | 0.649510i | ||||||
\(149\) | 3.67395 | − | 0.984433i | 0.300982 | − | 0.0806479i | −0.105168 | − | 0.994455i | \(-0.533538\pi\) |
0.406149 | + | 0.913807i | \(0.366871\pi\) | |||||||
\(150\) | −1.23259 | − | 4.84569i | −0.100641 | − | 0.395649i | ||||
\(151\) | 5.59995 | + | 5.59995i | 0.455717 | + | 0.455717i | 0.897247 | − | 0.441530i | \(-0.145564\pi\) |
−0.441530 | + | 0.897247i | \(0.645564\pi\) | |||||||
\(152\) | −6.09967 | + | 1.63440i | −0.494749 | + | 0.132567i | ||||
\(153\) | 0.0494978 | − | 0.184728i | 0.00400166 | − | 0.0149344i | ||||
\(154\) | −21.2070 | − | 5.68240i | −1.70891 | − | 0.457901i | ||||
\(155\) | −7.89787 | − | 7.99892i | −0.634372 | − | 0.642489i | ||||
\(156\) | −0.0765584 | − | 3.60474i | −0.00612958 | − | 0.288610i | ||||
\(157\) | 10.3659 | + | 10.3659i | 0.827291 | + | 0.827291i | 0.987141 | − | 0.159850i | \(-0.0511012\pi\) |
−0.159850 | + | 0.987141i | \(0.551101\pi\) | |||||||
\(158\) | −2.54869 | + | 1.47149i | −0.202763 | + | 0.117065i | ||||
\(159\) | −0.312998 | + | 0.180710i | −0.0248224 | + | 0.0143312i | ||||
\(160\) | 1.92935 | + | 1.13032i | 0.152528 | + | 0.0893597i | ||||
\(161\) | 18.5400 | − | 18.5400i | 1.46116 | − | 1.46116i | ||||
\(162\) | 0.500000 | − | 0.866025i | 0.0392837 | − | 0.0680414i | ||||
\(163\) | −3.30721 | + | 5.72825i | −0.259041 | + | 0.448672i | −0.965985 | − | 0.258597i | \(-0.916740\pi\) |
0.706945 | + | 0.707269i | \(0.250073\pi\) | |||||||
\(164\) | 4.20034 | − | 4.20034i | 0.327991 | − | 0.327991i | ||||
\(165\) | −10.4655 | − | 6.13131i | −0.814740 | − | 0.477322i | ||||
\(166\) | −8.99334 | + | 5.19231i | −0.698019 | + | 0.403001i | ||||
\(167\) | 15.6131 | − | 9.01425i | 1.20818 | − | 0.697543i | 0.245819 | − | 0.969316i | \(-0.420943\pi\) |
0.962362 | + | 0.271772i | \(0.0876098\pi\) | |||||||
\(168\) | 2.86200 | + | 2.86200i | 0.220808 | + | 0.220808i | ||||
\(169\) | −0.551946 | − | 12.9883i | −0.0424574 | − | 0.999098i | ||||
\(170\) | 0.300456 | + | 0.304300i | 0.0230439 | + | 0.0233388i | ||||
\(171\) | −6.09967 | − | 1.63440i | −0.466453 | − | 0.124986i | ||||
\(172\) | −1.32302 | + | 4.93758i | −0.100879 | + | 0.376487i | ||||
\(173\) | −10.2059 | + | 2.73466i | −0.775939 | + | 0.207912i | −0.624993 | − | 0.780630i | \(-0.714898\pi\) |
−0.150945 | + | 0.988542i | \(0.548232\pi\) | |||||||
\(174\) | −2.44113 | − | 2.44113i | −0.185061 | − | 0.185061i | ||||
\(175\) | 17.3960 | + | 10.3407i | 1.31502 | + | 0.781682i | ||||
\(176\) | 5.23956 | − | 1.40394i | 0.394947 | − | 0.105826i | ||||
\(177\) | − | 4.36891i | − | 0.328387i | ||||||
\(178\) | 1.63277 | + | 6.09359i | 0.122381 | + | 0.456734i | ||||
\(179\) | 8.52320 | + | 14.7626i | 0.637054 | + | 1.10341i | 0.986076 | + | 0.166295i | \(0.0531805\pi\) |
−0.349022 | + | 0.937115i | \(0.613486\pi\) | |||||||
\(180\) | 1.10570 | + | 1.94356i | 0.0824141 | + | 0.144864i | ||||
\(181\) | 16.2382i | 1.20698i | 0.797371 | + | 0.603489i | \(0.206223\pi\) | ||||
−0.797371 | + | 0.603489i | \(0.793777\pi\) | |||||||
\(182\) | 10.5359 | + | 10.0976i | 0.780970 | + | 0.748487i | ||||
\(183\) | −6.82363 | + | 6.82363i | −0.504417 | + | 0.504417i | ||||
\(184\) | −1.67663 | + | 6.25726i | −0.123603 | + | 0.461291i | ||||
\(185\) | 8.73684 | + | 15.3573i | 0.642346 | + | 1.12909i | ||||
\(186\) | 4.35360 | + | 2.51355i | 0.319222 | + | 0.184303i | ||||
\(187\) | 1.03739 | 0.0758612 | ||||||||
\(188\) | 1.83556 | + | 1.05976i | 0.133872 | + | 0.0772910i | ||||
\(189\) | 1.04756 | + | 3.90956i | 0.0761990 | + | 0.284379i | ||||
\(190\) | 10.0479 | − | 9.92097i | 0.728952 | − | 0.719743i | ||||
\(191\) | 2.66551 | − | 4.61680i | 0.192869 | − | 0.334060i | −0.753331 | − | 0.657642i | \(-0.771554\pi\) |
0.946200 | + | 0.323582i | \(0.104887\pi\) | |||||||
\(192\) | −0.965926 | − | 0.258819i | −0.0697097 | − | 0.0186787i | ||||
\(193\) | −10.6343 | − | 18.4192i | −0.765476 | − | 1.32584i | −0.939994 | − | 0.341190i | \(-0.889170\pi\) |
0.174518 | − | 0.984654i | \(-0.444163\pi\) | |||||||
\(194\) | −8.94906 | −0.642505 | ||||||||
\(195\) | 4.13456 | + | 6.92137i | 0.296082 | + | 0.495650i | ||||
\(196\) | −9.38206 | −0.670147 | ||||||||
\(197\) | 1.53503 | + | 2.65874i | 0.109366 | + | 0.189428i | 0.915514 | − | 0.402287i | \(-0.131785\pi\) |
−0.806148 | + | 0.591715i | \(0.798451\pi\) | |||||||
\(198\) | 5.23956 | + | 1.40394i | 0.372359 | + | 0.0997734i | ||||
\(199\) | −1.64001 | + | 2.84058i | −0.116257 | + | 0.201363i | −0.918282 | − | 0.395928i | \(-0.870423\pi\) |
0.802024 | + | 0.597291i | \(0.203756\pi\) | |||||||
\(200\) | −4.99960 | − | 0.0635655i | −0.353525 | − | 0.00449476i | ||||
\(201\) | 3.38612 | + | 12.6372i | 0.238838 | + | 0.891357i | ||||
\(202\) | −7.96916 | − | 4.60100i | −0.560708 | − | 0.323725i | ||||
\(203\) | 13.9730 | 0.980712 | ||||||||
\(204\) | −0.165623 | − | 0.0956223i | −0.0115959 | − | 0.00669490i | ||||
\(205\) | −3.51929 | + | 12.8079i | −0.245798 | + | 0.894545i | ||||
\(206\) | −4.29576 | + | 16.0320i | −0.299300 | + | 1.11700i | ||||
\(207\) | −4.58063 | + | 4.58063i | −0.318376 | + | 0.318376i | ||||
\(208\) | −3.50172 | − | 0.859025i | −0.242801 | − | 0.0595627i | ||||
\(209\) | − | 34.2542i | − | 2.36941i | ||||||
\(210\) | −8.72698 | − | 2.39795i | −0.602219 | − | 0.165474i | ||||
\(211\) | 7.85506 | + | 13.6054i | 0.540765 | + | 0.936632i | 0.998860 | + | 0.0477292i | \(0.0151985\pi\) |
−0.458095 | + | 0.888903i | \(0.651468\pi\) | |||||||
\(212\) | 0.0935422 | + | 0.349104i | 0.00642450 | + | 0.0239766i | ||||
\(213\) | − | 0.303880i | − | 0.0208215i | ||||||
\(214\) | 2.14920 | − | 0.575877i | 0.146917 | − | 0.0393662i | ||||
\(215\) | −2.88812 | − | 11.0593i | −0.196968 | − | 0.754241i | ||||
\(216\) | −0.707107 | − | 0.707107i | −0.0481125 | − | 0.0481125i | ||||
\(217\) | −19.6538 | + | 5.26622i | −1.33419 | + | 0.357494i | ||||
\(218\) | 0.955910 | − | 3.56751i | 0.0647424 | − | 0.241622i | ||||
\(219\) | 12.8963 | + | 3.45554i | 0.871449 | + | 0.233504i | ||||
\(220\) | −8.63107 | + | 8.52203i | −0.581906 | + | 0.574555i | ||||
\(221\) | −0.604347 | − | 0.332014i | −0.0406528 | − | 0.0223337i | ||||
\(222\) | −5.58729 | − | 5.58729i | −0.374995 | − | 0.374995i | ||||
\(223\) | −20.5563 | + | 11.8682i | −1.37655 | + | 0.794752i | −0.991743 | − | 0.128245i | \(-0.959066\pi\) |
−0.384808 | + | 0.922997i | \(0.625732\pi\) | |||||||
\(224\) | 3.50522 | − | 2.02374i | 0.234202 | − | 0.135217i | ||||
\(225\) | −4.29799 | − | 2.55485i | −0.286533 | − | 0.170323i | ||||
\(226\) | 9.92720 | − | 9.92720i | 0.660347 | − | 0.660347i | ||||
\(227\) | −12.0786 | + | 20.9208i | −0.801687 | + | 1.38856i | 0.116818 | + | 0.993153i | \(0.462731\pi\) |
−0.918505 | + | 0.395410i | \(0.870603\pi\) | |||||||
\(228\) | −3.15742 | + | 5.46881i | −0.209105 | + | 0.362181i | ||||
\(229\) | −4.88588 | + | 4.88588i | −0.322868 | + | 0.322868i | −0.849866 | − | 0.526998i | \(-0.823317\pi\) |
0.526998 | + | 0.849866i | \(0.323317\pi\) | |||||||
\(230\) | −3.66004 | − | 14.0152i | −0.241336 | − | 0.924135i | ||||
\(231\) | −19.0137 | + | 10.9775i | −1.25101 | + | 0.722270i | ||||
\(232\) | −2.98976 | + | 1.72614i | −0.196287 | + | 0.113326i | ||||
\(233\) | 1.90223 | + | 1.90223i | 0.124619 | + | 0.124619i | 0.766666 | − | 0.642047i | \(-0.221914\pi\) |
−0.642047 | + | 0.766666i | \(0.721914\pi\) | |||||||
\(234\) | −2.60307 | − | 2.49480i | −0.170168 | − | 0.163090i | ||||
\(235\) | −4.73930 | − | 0.0301268i | −0.309158 | − | 0.00196526i | ||||
\(236\) | −4.22004 | − | 1.13076i | −0.274701 | − | 0.0736060i | ||||
\(237\) | −0.761699 | + | 2.84270i | −0.0494776 | + | 0.184653i | ||||
\(238\) | 0.747683 | − | 0.200341i | 0.0484651 | − | 0.0129862i | ||||
\(239\) | −17.1352 | − | 17.1352i | −1.10838 | − | 1.10838i | −0.993363 | − | 0.115020i | \(-0.963307\pi\) |
−0.115020 | − | 0.993363i | \(-0.536693\pi\) | |||||||
\(240\) | 2.16351 | − | 0.564996i | 0.139654 | − | 0.0364703i | ||||
\(241\) | 7.77282 | − | 2.08272i | 0.500691 | − | 0.134160i | 0.000370473 | − | 1.00000i | \(-0.499882\pi\) |
0.500321 | + | 0.865840i | \(0.333215\pi\) | |||||||
\(242\) | 18.4240i | 1.18434i | ||||||||
\(243\) | −0.258819 | − | 0.965926i | −0.0166032 | − | 0.0619642i | ||||
\(244\) | 4.82504 | + | 8.35721i | 0.308891 | + | 0.535016i | ||||
\(245\) | 18.2346 | − | 10.3738i | 1.16496 | − | 0.662755i | ||||
\(246\) | − | 5.94018i | − | 0.378732i | ||||||
\(247\) | −10.9630 | + | 19.9554i | −0.697559 | + | 1.26973i | ||||
\(248\) | 3.55470 | − | 3.55470i | 0.225724 | − | 0.225724i | ||||
\(249\) | −2.68774 | + | 10.0308i | −0.170328 | + | 0.635674i | ||||
\(250\) | 9.78730 | − | 5.40452i | 0.619003 | − | 0.341812i | ||||
\(251\) | −11.2743 | − | 6.50919i | −0.711625 | − | 0.410857i | 0.100038 | − | 0.994984i | \(-0.468104\pi\) |
−0.811662 | + | 0.584127i | \(0.801437\pi\) | |||||||
\(252\) | 4.04748 | 0.254967 | ||||||||
\(253\) | −30.4314 | − | 17.5696i | −1.91321 | − | 1.10459i | ||||
\(254\) | 3.08105 | + | 11.4986i | 0.193322 | + | 0.721489i | ||||
\(255\) | 0.427627 | + | 0.00271834i | 0.0267791 | + | 0.000170229i | ||||
\(256\) | −0.500000 | + | 0.866025i | −0.0312500 | + | 0.0541266i | ||||
\(257\) | −5.40791 | − | 1.44905i | −0.337336 | − | 0.0903890i | 0.0861745 | − | 0.996280i | \(-0.472536\pi\) |
−0.423511 | + | 0.905891i | \(0.639202\pi\) | |||||||
\(258\) | 2.55588 | + | 4.42691i | 0.159122 | + | 0.275607i | ||||
\(259\) | 31.9816 | 1.98724 | ||||||||
\(260\) | 7.75564 | − | 2.20230i | 0.480984 | − | 0.136581i | ||||
\(261\) | −3.45227 | −0.213690 | ||||||||
\(262\) | 6.13552 | + | 10.6270i | 0.379054 | + | 0.656540i | ||||
\(263\) | −27.5672 | − | 7.38660i | −1.69986 | − | 0.455477i | −0.726958 | − | 0.686681i | \(-0.759067\pi\) |
−0.972905 | + | 0.231204i | \(0.925733\pi\) | |||||||
\(264\) | 2.71220 | − | 4.69766i | 0.166924 | − | 0.289121i | ||||
\(265\) | −0.567810 | − | 0.575075i | −0.0348803 | − | 0.0353266i | ||||
\(266\) | −6.61520 | − | 24.6883i | −0.405604 | − | 1.51373i | ||||
\(267\) | 5.46336 | + | 3.15427i | 0.334352 | + | 0.193038i | ||||
\(268\) | 13.0830 | 0.799169 | ||||||||
\(269\) | −2.39259 | − | 1.38136i | −0.145879 | − | 0.0842232i | 0.425284 | − | 0.905060i | \(-0.360174\pi\) |
−0.571163 | + | 0.820837i | \(0.693508\pi\) | |||||||
\(270\) | 2.15615 | + | 0.592455i | 0.131219 | + | 0.0360557i | ||||
\(271\) | 2.91877 | − | 10.8930i | 0.177302 | − | 0.661701i | −0.818846 | − | 0.574014i | \(-0.805386\pi\) |
0.996148 | − | 0.0876877i | \(-0.0279477\pi\) | |||||||
\(272\) | −0.135230 | + | 0.135230i | −0.00819955 | + | 0.00819955i | ||||
\(273\) | 14.5901 | − | 0.309868i | 0.883032 | − | 0.0187541i | ||||
\(274\) | 6.10265i | 0.368675i | ||||||||
\(275\) | 7.35217 | − | 26.1064i | 0.443353 | − | 1.57428i | ||||
\(276\) | 3.23899 | + | 5.61010i | 0.194965 | + | 0.337689i | ||||
\(277\) | −0.606728 | − | 2.26434i | −0.0364548 | − | 0.136051i | 0.945300 | − | 0.326202i | \(-0.105769\pi\) |
−0.981755 | + | 0.190151i | \(0.939102\pi\) | |||||||
\(278\) | − | 1.86264i | − | 0.111714i | ||||||
\(279\) | 4.85581 | − | 1.30111i | 0.290710 | − | 0.0778955i | ||||
\(280\) | −4.57495 | + | 7.80898i | −0.273405 | + | 0.466676i | ||||
\(281\) | 16.1274 | + | 16.1274i | 0.962081 | + | 0.962081i | 0.999307 | − | 0.0372258i | \(-0.0118521\pi\) |
−0.0372258 | + | 0.999307i | \(0.511852\pi\) | |||||||
\(282\) | 2.04730 | − | 0.548573i | 0.121915 | − | 0.0326670i | ||||
\(283\) | 5.83670 | − | 21.7829i | 0.346956 | − | 1.29486i | −0.543355 | − | 0.839503i | \(-0.682846\pi\) |
0.890311 | − | 0.455353i | \(-0.150487\pi\) | |||||||
\(284\) | −0.293526 | − | 0.0786499i | −0.0174175 | − | 0.00466702i | ||||
\(285\) | 0.0897589 | − | 14.1201i | 0.00531686 | − | 0.836404i | ||||
\(286\) | 9.41711 | − | 17.1415i | 0.556846 | − | 1.01360i | ||||
\(287\) | 17.0008 | + | 17.0008i | 1.00352 | + | 1.00352i | ||||
\(288\) | −0.866025 | + | 0.500000i | −0.0510310 | + | 0.0294628i | ||||
\(289\) | 14.6908 | − | 8.48171i | 0.864162 | − | 0.498924i | ||||
\(290\) | 3.90218 | − | 6.66063i | 0.229144 | − | 0.391126i | ||||
\(291\) | −6.32794 | + | 6.32794i | −0.370951 | + | 0.370951i | ||||
\(292\) | 6.67560 | − | 11.5625i | 0.390660 | − | 0.676643i | ||||
\(293\) | 8.52875 | − | 14.7722i | 0.498255 | − | 0.863003i | −0.501743 | − | 0.865017i | \(-0.667308\pi\) |
0.999998 | + | 0.00201373i | \(0.000640990\pi\) | |||||||
\(294\) | −6.63412 | + | 6.63412i | −0.386909 | + | 0.386909i | ||||
\(295\) | 9.45219 | − | 2.46842i | 0.550328 | − | 0.143717i | ||||
\(296\) | −6.84301 | + | 3.95081i | −0.397742 | + | 0.229636i | ||||
\(297\) | 4.69766 | − | 2.71220i | 0.272586 | − | 0.157378i | ||||
\(298\) | −2.68952 | − | 2.68952i | −0.155800 | − | 0.155800i | ||||
\(299\) | 12.1052 | + | 19.9750i | 0.700064 | + | 1.15518i | ||||
\(300\) | −3.58020 | + | 3.49030i | −0.206703 | + | 0.201513i | ||||
\(301\) | −19.9847 | − | 5.35489i | −1.15190 | − | 0.308651i | ||||
\(302\) | 2.04972 | − | 7.64967i | 0.117948 | − | 0.440189i | ||||
\(303\) | −8.88844 | + | 2.38165i | −0.510628 | + | 0.136822i | ||||
\(304\) | 4.46527 | + | 4.46527i | 0.256101 | + | 0.256101i | ||||
\(305\) | −18.6183 | − | 10.9077i | −1.06608 | − | 0.624572i | ||||
\(306\) | −0.184728 | + | 0.0494978i | −0.0105602 | + | 0.00282960i | ||||
\(307\) | 1.24867i | 0.0712656i | 0.999365 | + | 0.0356328i | \(0.0113447\pi\) | ||||
−0.999365 | + | 0.0356328i | \(0.988655\pi\) | |||||||
\(308\) | 5.68240 | + | 21.2070i | 0.323785 | + | 1.20838i | ||||
\(309\) | 8.29877 | + | 14.3739i | 0.472100 | + | 0.817702i | ||||
\(310\) | −2.97833 | + | 10.8392i | −0.169158 | + | 0.615626i | ||||
\(311\) | − | 18.1794i | − | 1.03086i | −0.856932 | − | 0.515429i | \(-0.827633\pi\) | ||
0.856932 | − | 0.515429i | \(-0.172367\pi\) | |||||||
\(312\) | −3.08352 | + | 1.86867i | −0.174570 | + | 0.105793i | ||||
\(313\) | −16.4742 | + | 16.4742i | −0.931180 | + | 0.931180i | −0.997780 | − | 0.0666002i | \(-0.978785\pi\) |
0.0666002 | + | 0.997780i | \(0.478785\pi\) | |||||||
\(314\) | 3.79419 | − | 14.1601i | 0.214119 | − | 0.799102i | ||||
\(315\) | −7.86651 | + | 4.47530i | −0.443228 | + | 0.252155i | ||||
\(316\) | 2.54869 | + | 1.47149i | 0.143375 | + | 0.0827777i | ||||
\(317\) | 24.3400 | 1.36707 | 0.683535 | − | 0.729917i | \(-0.260441\pi\) | ||||
0.683535 | + | 0.729917i | \(0.260441\pi\) | |||||||
\(318\) | 0.312998 | + | 0.180710i | 0.0175521 | + | 0.0101337i | ||||
\(319\) | −4.84677 | − | 18.0884i | −0.271367 | − | 1.01276i | ||||
\(320\) | 0.0142140 | − | 2.23602i | 0.000794585 | − | 0.124997i | ||||
\(321\) | 1.11251 | − | 1.92692i | 0.0620942 | − | 0.107550i | ||||
\(322\) | −25.3261 | − | 6.78611i | −1.41137 | − | 0.378175i | ||||
\(323\) | 0.603840 | + | 1.04588i | 0.0335986 | + | 0.0581944i | ||||
\(324\) | −1.00000 | −0.0555556 | ||||||||
\(325\) | −12.6385 | + | 12.8557i | −0.701055 | + | 0.713107i | ||||
\(326\) | 6.61442 | 0.366339 | ||||||||
\(327\) | −1.84668 | − | 3.19854i | −0.102121 | − | 0.176880i | ||||
\(328\) | −5.73777 | − | 1.53743i | −0.316815 | − | 0.0848904i | ||||
\(329\) | −4.28936 | + | 7.42938i | −0.236480 | + | 0.409595i | ||||
\(330\) | −0.0771021 | + | 12.1291i | −0.00424433 | + | 0.667683i | ||||
\(331\) | −1.38659 | − | 5.17481i | −0.0762137 | − | 0.284434i | 0.917292 | − | 0.398215i | \(-0.130370\pi\) |
−0.993506 | + | 0.113782i | \(0.963704\pi\) | |||||||
\(332\) | 8.99334 | + | 5.19231i | 0.493574 | + | 0.284965i | ||||
\(333\) | −7.90163 | −0.433007 | ||||||||
\(334\) | −15.6131 | − | 9.01425i | −0.854313 | − | 0.493238i | ||||
\(335\) | −25.4275 | + | 14.4659i | −1.38925 | + | 0.790354i | ||||
\(336\) | 1.04756 | − | 3.90956i | 0.0571493 | − | 0.213284i | ||||
\(337\) | 4.73224 | − | 4.73224i | 0.257781 | − | 0.257781i | −0.566370 | − | 0.824151i | \(-0.691653\pi\) |
0.824151 | + | 0.566370i | \(0.191653\pi\) | |||||||
\(338\) | −10.9722 | + | 6.97214i | −0.596809 | + | 0.379234i | ||||
\(339\) | − | 14.0392i | − | 0.762503i | ||||||
\(340\) | 0.113304 | − | 0.412353i | 0.00614476 | − | 0.0223630i | ||||
\(341\) | 13.6345 | + | 23.6157i | 0.738350 | + | 1.27886i | ||||
\(342\) | 1.63440 | + | 6.09967i | 0.0883783 | + | 0.329832i | ||||
\(343\) | − | 9.64131i | − | 0.520582i | ||||||
\(344\) | 4.93758 | − | 1.32302i | 0.266216 | − | 0.0713324i | ||||
\(345\) | −12.4983 | − | 7.32221i | −0.672885 | − | 0.394214i | ||||
\(346\) | 7.47122 | + | 7.47122i | 0.401655 | + | 0.401655i | ||||
\(347\) | 22.1429 | − | 5.93317i | 1.18869 | − | 0.318509i | 0.390324 | − | 0.920677i | \(-0.372363\pi\) |
0.798369 | + | 0.602168i | \(0.205696\pi\) | |||||||
\(348\) | −0.893514 | + | 3.33464i | −0.0478974 | + | 0.178755i | ||||
\(349\) | 16.4469 | + | 4.40694i | 0.880383 | + | 0.235898i | 0.670573 | − | 0.741844i | \(-0.266049\pi\) |
0.209811 | + | 0.977742i | \(0.432715\pi\) | |||||||
\(350\) | 0.257280 | − | 20.2357i | 0.0137522 | − | 1.08165i | ||||
\(351\) | −3.60474 | + | 0.0765584i | −0.192407 | + | 0.00408639i | ||||
\(352\) | −3.83563 | − | 3.83563i | −0.204440 | − | 0.204440i | ||||
\(353\) | 10.0175 | − | 5.78360i | 0.533177 | − | 0.307830i | −0.209132 | − | 0.977887i | \(-0.567064\pi\) |
0.742309 | + | 0.670057i | \(0.233731\pi\) | |||||||
\(354\) | −3.78359 | + | 2.18446i | −0.201095 | + | 0.116102i | ||||
\(355\) | 0.657448 | − | 0.171691i | 0.0348937 | − | 0.00911241i | ||||
\(356\) | 4.46081 | − | 4.46081i | 0.236423 | − | 0.236423i | ||||
\(357\) | 0.387029 | − | 0.670354i | 0.0204837 | − | 0.0354789i | ||||
\(358\) | 8.52320 | − | 14.7626i | 0.450465 | − | 0.780229i | ||||
\(359\) | 16.2123 | − | 16.2123i | 0.855651 | − | 0.855651i | −0.135171 | − | 0.990822i | \(-0.543158\pi\) |
0.990822 | + | 0.135171i | \(0.0431584\pi\) | |||||||
\(360\) | 1.13032 | − | 1.92935i | 0.0595732 | − | 0.101685i | ||||
\(361\) | 18.0802 | − | 10.4386i | 0.951590 | − | 0.549401i | ||||
\(362\) | 14.0627 | − | 8.11912i | 0.739121 | − | 0.426732i | ||||
\(363\) | 13.0278 | + | 13.0278i | 0.683780 | + | 0.683780i | ||||
\(364\) | 3.47688 | − | 14.1731i | 0.182238 | − | 0.742875i | ||||
\(365\) | −0.189773 | + | 29.8536i | −0.00993320 | + | 1.56261i | ||||
\(366\) | 9.32126 | + | 2.49762i | 0.487230 | + | 0.130553i | ||||
\(367\) | −0.915524 | + | 3.41678i | −0.0477900 | + | 0.178355i | −0.985695 | − | 0.168536i | \(-0.946096\pi\) |
0.937905 | + | 0.346891i | \(0.112763\pi\) | |||||||
\(368\) | 6.25726 | − | 1.67663i | 0.326182 | − | 0.0874002i | ||||
\(369\) | −4.20034 | − | 4.20034i | −0.218661 | − | 0.218661i | ||||
\(370\) | 8.93138 | − | 15.2450i | 0.464320 | − | 0.792548i | ||||
\(371\) | −1.41299 | + | 0.378610i | −0.0733588 | + | 0.0196564i | ||||
\(372\) | − | 5.02711i | − | 0.260643i | ||||||
\(373\) | 4.97018 | + | 18.5490i | 0.257346 | + | 0.960429i | 0.966770 | + | 0.255647i | \(0.0822886\pi\) |
−0.709424 | + | 0.704782i | \(0.751045\pi\) | |||||||
\(374\) | −0.518693 | − | 0.898403i | −0.0268210 | − | 0.0464553i | ||||
\(375\) | 3.09909 | − | 10.7422i | 0.160036 | − | 0.554727i | ||||
\(376\) | − | 2.11952i | − | 0.109306i | ||||||
\(377\) | −2.96559 | + | 12.0889i | −0.152736 | + | 0.622611i | ||||
\(378\) | 2.86200 | − | 2.86200i | 0.147205 | − | 0.147205i | ||||
\(379\) | 6.74069 | − | 25.1566i | 0.346246 | − | 1.29221i | −0.544903 | − | 0.838499i | \(-0.683434\pi\) |
0.891150 | − | 0.453709i | \(-0.149900\pi\) | |||||||
\(380\) | −13.6158 | − | 3.74126i | −0.698474 | − | 0.191923i | ||||
\(381\) | 10.3094 | + | 5.95213i | 0.528166 | + | 0.304937i | ||||
\(382\) | −5.33102 | −0.272759 | ||||||||
\(383\) | −19.1720 | − | 11.0690i | −0.979644 | − | 0.565598i | −0.0774812 | − | 0.996994i | \(-0.524688\pi\) |
−0.902163 | + | 0.431396i | \(0.858021\pi\) | |||||||
\(384\) | 0.258819 | + | 0.965926i | 0.0132078 | + | 0.0492922i | ||||
\(385\) | −34.4927 | − | 34.9340i | −1.75791 | − | 1.78040i | ||||
\(386\) | −10.6343 | + | 18.4192i | −0.541274 | + | 0.937513i | ||||
\(387\) | 4.93758 | + | 1.32302i | 0.250991 | + | 0.0672529i | ||||
\(388\) | 4.47453 | + | 7.75012i | 0.227160 | + | 0.393452i | ||||
\(389\) | −17.6059 | −0.892653 | −0.446327 | − | 0.894870i | \(-0.647268\pi\) | ||||
−0.446327 | + | 0.894870i | \(0.647268\pi\) | |||||||
\(390\) | 3.92680 | − | 7.04132i | 0.198841 | − | 0.356551i | ||||
\(391\) | 1.23888 | 0.0626529 | ||||||||
\(392\) | 4.69103 | + | 8.12510i | 0.236933 | + | 0.410379i | ||||
\(393\) | 11.8529 | + | 3.17598i | 0.597900 | + | 0.160207i | ||||
\(394\) | 1.53503 | − | 2.65874i | 0.0773335 | − | 0.133946i | ||||
\(395\) | −6.58057 | − | 0.0418314i | −0.331104 | − | 0.00210477i | ||||
\(396\) | −1.40394 | − | 5.23956i | −0.0705505 | − | 0.263298i | ||||
\(397\) | 21.9503 | + | 12.6730i | 1.10165 | + | 0.636039i | 0.936654 | − | 0.350255i | \(-0.113905\pi\) |
0.164997 | + | 0.986294i | \(0.447238\pi\) | |||||||
\(398\) | 3.28002 | 0.164412 | ||||||||
\(399\) | −22.1349 | − | 12.7796i | −1.10813 | − | 0.639779i | ||||
\(400\) | 2.44475 | + | 4.36156i | 0.122237 | + | 0.218078i | ||||
\(401\) | −5.34321 | + | 19.9411i | −0.266827 | + | 0.995813i | 0.694295 | + | 0.719690i | \(0.255716\pi\) |
−0.961122 | + | 0.276122i | \(0.910950\pi\) | |||||||
\(402\) | 9.25105 | − | 9.25105i | 0.461400 | − | 0.461400i | ||||
\(403\) | −0.384867 | − | 18.1214i | −0.0191716 | − | 0.902692i | ||||
\(404\) | 9.20199i | 0.457816i | ||||||||
\(405\) | 1.94356 | − | 1.10570i | 0.0965762 | − | 0.0549428i | ||||
\(406\) | −6.98649 | − | 12.1010i | −0.346734 | − | 0.600561i | ||||
\(407\) | −11.0934 | − | 41.4011i | −0.549879 | − | 2.05217i | ||||
\(408\) | 0.191245i | 0.00946802i | ||||||||
\(409\) | 5.68835 | − | 1.52419i | 0.281271 | − | 0.0753662i | −0.115426 | − | 0.993316i | \(-0.536823\pi\) |
0.396696 | + | 0.917950i | \(0.370157\pi\) | |||||||
\(410\) | 12.8516 | − | 3.35618i | 0.634697 | − | 0.165750i | ||||
\(411\) | 4.31523 | + | 4.31523i | 0.212855 | + | 0.212855i | ||||
\(412\) | 16.0320 | − | 4.29576i | 0.789839 | − | 0.211637i | ||||
\(413\) | 4.57671 | − | 17.0805i | 0.225205 | − | 0.840477i | ||||
\(414\) | 6.25726 | + | 1.67663i | 0.307527 | + | 0.0824017i | ||||
\(415\) | −23.2202 | − | 0.147607i | −1.13984 | − | 0.00724572i | ||||
\(416\) | 1.00692 | + | 3.46210i | 0.0493685 | + | 0.169743i | ||||
\(417\) | −1.31709 | − | 1.31709i | −0.0644980 | − | 0.0644980i | ||||
\(418\) | −29.6650 | + | 17.1271i | −1.45096 | + | 0.837714i | ||||
\(419\) | −13.2160 | + | 7.63025i | −0.645643 | + | 0.372762i | −0.786785 | − | 0.617227i | \(-0.788256\pi\) |
0.141142 | + | 0.989989i | \(0.454923\pi\) | |||||||
\(420\) | 2.28681 | + | 8.75676i | 0.111585 | + | 0.427286i | ||||
\(421\) | −2.19096 | + | 2.19096i | −0.106781 | + | 0.106781i | −0.758479 | − | 0.651698i | \(-0.774057\pi\) |
0.651698 | + | 0.758479i | \(0.274057\pi\) | |||||||
\(422\) | 7.85506 | − | 13.6054i | 0.382379 | − | 0.662299i | ||||
\(423\) | 1.05976 | − | 1.83556i | 0.0515273 | − | 0.0892480i | ||||
\(424\) | 0.255562 | − | 0.255562i | 0.0124112 | − | 0.0124112i | ||||
\(425\) | 0.235726 | + | 0.926713i | 0.0114344 | + | 0.0449522i | ||||
\(426\) | −0.263168 | + | 0.151940i | −0.0127505 | + | 0.00736152i | ||||
\(427\) | −33.8256 | + | 19.5292i | −1.63694 | + | 0.945085i | ||||
\(428\) | −1.57333 | − | 1.57333i | −0.0760496 | − | 0.0760496i | ||||
\(429\) | −5.46196 | − | 18.7798i | −0.263706 | − | 0.906696i | ||||
\(430\) | −8.13361 | + | 8.03085i | −0.392237 | + | 0.387282i | ||||
\(431\) | −10.5621 | − | 2.83012i | −0.508761 | − | 0.136322i | −0.00469777 | − | 0.999989i | \(-0.501495\pi\) |
−0.504063 | + | 0.863667i | \(0.668162\pi\) | |||||||
\(432\) | −0.258819 | + | 0.965926i | −0.0124524 | + | 0.0464731i | ||||
\(433\) | 32.1258 | − | 8.60807i | 1.54387 | − | 0.413677i | 0.616353 | − | 0.787470i | \(-0.288609\pi\) |
0.927512 | + | 0.373793i | \(0.121943\pi\) | |||||||
\(434\) | 14.3876 | + | 14.3876i | 0.690625 | + | 0.690625i | ||||
\(435\) | −1.95052 | − | 7.46903i | −0.0935202 | − | 0.358113i | ||||
\(436\) | −3.56751 | + | 0.955910i | −0.170853 | + | 0.0457798i | ||||
\(437\) | − | 40.9075i | − | 1.95687i | ||||||
\(438\) | −3.45554 | − | 12.8963i | −0.165112 | − | 0.616208i | ||||
\(439\) | 6.66616 | + | 11.5461i | 0.318158 | + | 0.551067i | 0.980104 | − | 0.198486i | \(-0.0636023\pi\) |
−0.661945 | + | 0.749552i | \(0.730269\pi\) | |||||||
\(440\) | 11.6958 | + | 3.21371i | 0.557577 | + | 0.153208i | ||||
\(441\) | 9.38206i | 0.446765i | ||||||||
\(442\) | 0.0146414 | + | 0.689387i | 0.000696420 | + | 0.0327908i | ||||
\(443\) | 4.80640 | − | 4.80640i | 0.228359 | − | 0.228359i | −0.583648 | − | 0.812007i | \(-0.698375\pi\) |
0.812007 | + | 0.583648i | \(0.198375\pi\) | |||||||
\(444\) | −2.04509 | + | 7.63239i | −0.0970558 | + | 0.362217i | ||||
\(445\) | −3.73753 | + | 13.6022i | −0.177176 | + | 0.644806i | ||||
\(446\) | 20.5563 | + | 11.8682i | 0.973368 | + | 0.561975i | ||||
\(447\) | −3.80356 | −0.179902 | ||||||||
\(448\) | −3.50522 | − | 2.02374i | −0.165606 | − | 0.0956126i | ||||
\(449\) | −7.48614 | − | 27.9387i | −0.353293 | − | 1.31851i | −0.882619 | − | 0.470088i | \(-0.844222\pi\) |
0.529326 | − | 0.848418i | \(-0.322445\pi\) | |||||||
\(450\) | −0.0635655 | + | 4.99960i | −0.00299651 | + | 0.235683i | ||||
\(451\) | 16.1109 | − | 27.9050i | 0.758634 | − | 1.31399i | ||||
\(452\) | −13.5608 | − | 3.63361i | −0.637846 | − | 0.170910i | ||||
\(453\) | −3.95976 | − | 6.85851i | −0.186046 | − | 0.322241i | ||||
\(454\) | 24.1573 | 1.13376 | ||||||||
\(455\) | 8.91374 | + | 31.3907i | 0.417883 | + | 1.47162i | ||||
\(456\) | 6.31484 | 0.295720 | ||||||||
\(457\) | −4.52778 | − | 7.84234i | −0.211801 | − | 0.366849i | 0.740478 | − | 0.672081i | \(-0.234599\pi\) |
−0.952278 | + | 0.305232i | \(0.901266\pi\) | |||||||
\(458\) | 6.67424 | + | 1.78836i | 0.311867 | + | 0.0835645i | ||||
\(459\) | −0.0956223 | + | 0.165623i | −0.00446327 | + | 0.00773061i | ||||
\(460\) | −10.3075 | + | 10.1773i | −0.480590 | + | 0.474518i | ||||
\(461\) | 5.56197 | + | 20.7576i | 0.259047 | + | 0.966776i | 0.965794 | + | 0.259310i | \(0.0834951\pi\) |
−0.706747 | + | 0.707466i | \(0.749838\pi\) | |||||||
\(462\) | 19.0137 | + | 10.9775i | 0.884596 | + | 0.510722i | ||||
\(463\) | 29.8973 | 1.38945 | 0.694723 | − | 0.719277i | \(-0.255527\pi\) | ||||
0.694723 | + | 0.719277i | \(0.255527\pi\) | |||||||
\(464\) | 2.98976 | + | 1.72614i | 0.138796 | + | 0.0801339i | ||||
\(465\) | 5.55848 | + | 9.77048i | 0.257768 | + | 0.453095i | ||||
\(466\) | 0.696264 | − | 2.59849i | 0.0322538 | − | 0.120373i | ||||
\(467\) | −25.6198 | + | 25.6198i | −1.18554 | + | 1.18554i | −0.207257 | + | 0.978287i | \(0.566454\pi\) |
−0.978287 | + | 0.207257i | \(0.933546\pi\) | |||||||
\(468\) | −0.859025 | + | 3.50172i | −0.0397085 | + | 0.161867i | ||||
\(469\) | 52.9530i | 2.44514i | ||||||||
\(470\) | 2.34356 | + | 4.11942i | 0.108100 | + | 0.190015i | ||||
\(471\) | −7.32981 | − | 12.6956i | −0.337740 | − | 0.584983i | ||||
\(472\) | 1.13076 | + | 4.22004i | 0.0520473 | + | 0.194243i | ||||
\(473\) | 27.7282i | 1.27494i | ||||||||
\(474\) | 2.84270 | − | 0.761699i | 0.130569 | − | 0.0349860i | ||||
\(475\) | 30.5998 | − | 7.78362i | 1.40401 | − | 0.357137i | ||||
\(476\) | −0.547342 | − | 0.547342i | −0.0250874 | − | 0.0250874i | ||||
\(477\) | 0.349104 | − | 0.0935422i | 0.0159844 | − | 0.00428300i | ||||
\(478\) | −6.27192 | + | 23.4071i | −0.286871 | + | 1.07062i | ||||
\(479\) | 13.0654 | + | 3.50087i | 0.596974 | + | 0.159959i | 0.544638 | − | 0.838671i | \(-0.316667\pi\) |
0.0523353 | + | 0.998630i | \(0.483334\pi\) | |||||||
\(480\) | −1.57106 | − | 1.59116i | −0.0717086 | − | 0.0726261i | ||||
\(481\) | −6.78770 | + | 27.6693i | −0.309492 | + | 1.26161i | ||||
\(482\) | −5.69010 | − | 5.69010i | −0.259177 | − | 0.259177i | ||||
\(483\) | −22.7068 | + | 13.1098i | −1.03319 | + | 0.596514i | ||||
\(484\) | 15.9557 | − | 9.21202i | 0.725259 | − | 0.418728i | ||||
\(485\) | −17.2658 | − | 10.1153i | −0.784001 | − | 0.459313i | ||||
\(486\) | −0.707107 | + | 0.707107i | −0.0320750 | + | 0.0320750i | ||||
\(487\) | −11.3404 | + | 19.6421i | −0.513882 | + | 0.890069i | 0.485989 | + | 0.873965i | \(0.338460\pi\) |
−0.999870 | + | 0.0161039i | \(0.994874\pi\) | |||||||
\(488\) | 4.82504 | − | 8.35721i | 0.218419 | − | 0.378313i | ||||
\(489\) | 4.67710 | − | 4.67710i | 0.211506 | − | 0.211506i | ||||
\(490\) | −18.1012 | − | 10.6047i | −0.817730 | − | 0.479073i | ||||
\(491\) | 31.8367 | − | 18.3809i | 1.43677 | − | 0.829520i | 0.439146 | − | 0.898416i | \(-0.355281\pi\) |
0.997624 | + | 0.0688962i | \(0.0219477\pi\) | |||||||
\(492\) | −5.14435 | + | 2.97009i | −0.231925 | + | 0.133902i | ||||
\(493\) | 0.466852 | + | 0.466852i | 0.0210260 | + | 0.0210260i | ||||
\(494\) | 22.7634 | − | 0.483454i | 1.02417 | − | 0.0217516i | ||||
\(495\) | 8.52203 | + | 8.63107i | 0.383037 | + | 0.387938i | ||||
\(496\) | −4.85581 | − | 1.30111i | −0.218032 | − | 0.0584216i | ||||
\(497\) | 0.318334 | − | 1.18804i | 0.0142792 | − | 0.0532908i | ||||
\(498\) | 10.0308 | − | 2.68774i | 0.449490 | − | 0.120440i | ||||
\(499\) | 20.9091 | + | 20.9091i | 0.936020 | + | 0.936020i | 0.998073 | − | 0.0620524i | \(-0.0197646\pi\) |
−0.0620524 | + | 0.998073i | \(0.519765\pi\) | |||||||
\(500\) | −9.57410 | − | 5.77379i | −0.428167 | − | 0.258212i | ||||
\(501\) | −17.4142 | + | 4.66612i | −0.778008 | + | 0.208467i | ||||
\(502\) | 13.0184i | 0.581039i | ||||||||
\(503\) | 2.23473 | + | 8.34011i | 0.0996415 | + | 0.371867i | 0.997682 | − | 0.0680452i | \(-0.0216762\pi\) |
−0.898041 | + | 0.439912i | \(0.855010\pi\) | |||||||
\(504\) | −2.02374 | − | 3.50522i | −0.0901444 | − | 0.156135i | ||||
\(505\) | −10.1747 | − | 17.8846i | −0.452766 | − | 0.795855i | ||||
\(506\) | 35.1392i | 1.56213i | ||||||||
\(507\) | −2.82847 | + | 12.6886i | −0.125617 | + | 0.563519i | ||||
\(508\) | 8.41759 | − | 8.41759i | 0.373470 | − | 0.373470i | ||||
\(509\) | 1.27084 | − | 4.74284i | 0.0563290 | − | 0.210223i | −0.932025 | − | 0.362393i | \(-0.881960\pi\) |
0.988354 | + | 0.152171i | \(0.0486264\pi\) | |||||||
\(510\) | −0.211460 | − | 0.371695i | −0.00936359 | − | 0.0164589i | ||||
\(511\) | 46.7988 | + | 27.0193i | 2.07026 | + | 1.19526i | ||||
\(512\) | 1.00000 | 0.0441942 | ||||||||
\(513\) | 5.46881 | + | 3.15742i | 0.241454 | + | 0.139404i | ||||
\(514\) | 1.44905 | + | 5.40791i | 0.0639147 | + | 0.238533i | ||||
\(515\) | −26.4093 | + | 26.0757i | −1.16373 | + | 1.14903i | ||||
\(516\) | 2.55588 | − | 4.42691i | 0.112516 | − | 0.194884i | ||||
\(517\) | 11.1054 | + | 2.97567i | 0.488413 | + | 0.130870i | ||||
\(518\) | −15.9908 | − | 27.6969i | −0.702596 | − | 1.21693i | ||||
\(519\) | 10.5659 | 0.463792 | ||||||||
\(520\) | −5.78506 | − | 5.61543i | −0.253692 | − | 0.246253i | ||||
\(521\) | −28.5387 | −1.25030 | −0.625151 | − | 0.780503i | \(-0.714963\pi\) | ||||
−0.625151 | + | 0.780503i | \(0.714963\pi\) | |||||||
\(522\) | 1.72614 | + | 2.98976i | 0.0755509 | + | 0.130858i | ||||
\(523\) | −10.1391 | − | 2.71677i | −0.443354 | − | 0.118796i | 0.0302342 | − | 0.999543i | \(-0.490375\pi\) |
−0.473588 | + | 0.880747i | \(0.657041\pi\) | |||||||
\(524\) | 6.13552 | − | 10.6270i | 0.268031 | − | 0.464244i | ||||
\(525\) | −14.1269 | − | 14.4908i | −0.616549 | − | 0.632428i | ||||
\(526\) | 7.38660 | + | 27.5672i | 0.322071 | + | 1.20199i | ||||
\(527\) | −0.832603 | − | 0.480704i | −0.0362688 | − | 0.0209398i | ||||
\(528\) | −5.42439 | −0.236066 | ||||||||
\(529\) | −16.4236 | − | 9.48217i | −0.714070 | − | 0.412268i | ||||
\(530\) | −0.214125 | + | 0.779275i | −0.00930098 | + | 0.0338496i | ||||
\(531\) | −1.13076 | + | 4.22004i | −0.0490707 | + | 0.183134i | ||||
\(532\) | −18.0731 | + | 18.0731i | −0.783567 | + | 0.783567i | ||||
\(533\) | −18.3166 | + | 11.1002i | −0.793382 | + | 0.480805i | ||||
\(534\) | − | 6.30854i | − | 0.272997i | ||||||
\(535\) | 4.79748 | + | 1.31822i | 0.207413 | + | 0.0569918i | ||||
\(536\) | −6.54148 | − | 11.3302i | −0.282549 | − | 0.489389i | ||||
\(537\) | −4.41193 | − | 16.4656i | −0.190389 | − | 0.710541i | ||||
\(538\) | 2.76273i | 0.119110i | ||||||||
\(539\) | −49.1579 | + | 13.1718i | −2.11738 | + | 0.567350i | ||||
\(540\) | −0.564996 | − | 2.16351i | −0.0243135 | − | 0.0931027i | ||||
\(541\) | 0.105018 | + | 0.105018i | 0.00451507 | + | 0.00451507i | 0.709361 | − | 0.704846i | \(-0.248984\pi\) |
−0.704846 | + | 0.709361i | \(0.748984\pi\) | |||||||
\(542\) | −10.8930 | + | 2.91877i | −0.467894 | + | 0.125372i | ||||
\(543\) | 4.20277 | − | 15.6849i | 0.180358 | − | 0.673105i | ||||
\(544\) | 0.184728 | + | 0.0494978i | 0.00792016 | + | 0.00212220i | ||||
\(545\) | 5.87671 | − | 5.80247i | 0.251731 | − | 0.248550i | ||||
\(546\) | −7.56340 | − | 12.4805i | −0.323684 | − | 0.534114i | ||||
\(547\) | 8.37204 | + | 8.37204i | 0.357962 | + | 0.357962i | 0.863061 | − | 0.505099i | \(-0.168544\pi\) |
−0.505099 | + | 0.863061i | \(0.668544\pi\) | |||||||
\(548\) | 5.28505 | − | 3.05133i | 0.225766 | − | 0.130346i | ||||
\(549\) | 8.35721 | − | 4.82504i | 0.356677 | − | 0.205928i | ||||
\(550\) | −26.2849 | + | 6.68606i | −1.12079 | + | 0.285095i | ||||
\(551\) | 15.4153 | − | 15.4153i | 0.656715 | − | 0.656715i | ||||
\(552\) | 3.23899 | − | 5.61010i | 0.137861 | − | 0.238782i | ||||
\(553\) | −5.95581 | + | 10.3158i | −0.253267 | + | 0.438671i | ||||
\(554\) | −1.65761 | + | 1.65761i | −0.0704252 | + | 0.0704252i | ||||
\(555\) | −4.46439 | − | 17.0953i | −0.189503 | − | 0.725653i | ||||
\(556\) | −1.61309 | + | 0.931321i | −0.0684105 | + | 0.0394968i | ||||
\(557\) | −22.5857 | + | 13.0399i | −0.956987 | + | 0.552517i | −0.895244 | − | 0.445575i | \(-0.852999\pi\) |
−0.0617426 | + | 0.998092i | \(0.519666\pi\) | |||||||
\(558\) | −3.55470 | − | 3.55470i | −0.150483 | − | 0.150483i | ||||
\(559\) | 8.87435 | − | 16.1535i | 0.375345 | − | 0.683221i | ||||
\(560\) | 9.05025 | + | 0.0575307i | 0.382443 | + | 0.00243111i | ||||
\(561\) | −1.00204 | − | 0.268495i | −0.0423061 | − | 0.0113359i | ||||
\(562\) | 5.90304 | − | 22.0305i | 0.249005 | − | 0.929299i | ||||
\(563\) | −6.40965 | + | 1.71746i | −0.270135 | + | 0.0723824i | −0.391344 | − | 0.920245i | \(-0.627990\pi\) |
0.121209 | + | 0.992627i | \(0.461323\pi\) | |||||||
\(564\) | −1.49873 | − | 1.49873i | −0.0631078 | − | 0.0631078i | ||||
\(565\) | 30.3739 | − | 7.93207i | 1.27784 | − | 0.333705i | ||||
\(566\) | −21.7829 | + | 5.83670i | −0.915602 | + | 0.245335i | ||||
\(567\) | − | 4.04748i | − | 0.169978i | ||||||
\(568\) | 0.0786499 | + | 0.293526i | 0.00330008 | + | 0.0123161i | ||||
\(569\) | −16.3447 | − | 28.3099i | −0.685207 | − | 1.18681i | −0.973372 | − | 0.229232i | \(-0.926379\pi\) |
0.288165 | − | 0.957581i | \(-0.406955\pi\) | |||||||
\(570\) | −12.2733 | + | 6.98233i | −0.514071 | + | 0.292458i | ||||
\(571\) | − | 43.9760i | − | 1.84034i | −0.391522 | − | 0.920169i | \(-0.628051\pi\) | ||
0.391522 | − | 0.920169i | \(-0.371949\pi\) | |||||||
\(572\) | −19.5535 | + | 0.415283i | −0.817574 | + | 0.0173639i | ||||
\(573\) | −3.76960 | + | 3.76960i | −0.157477 | + | 0.157477i | ||||
\(574\) | 6.22272 | − | 23.2235i | 0.259731 | − | 0.969330i | ||||
\(575\) | 8.78020 | − | 31.1772i | 0.366160 | − | 1.30018i | ||||
\(576\) | 0.866025 | + | 0.500000i | 0.0360844 | + | 0.0208333i | ||||
\(577\) | −28.7300 | −1.19605 | −0.598023 | − | 0.801479i | \(-0.704047\pi\) | ||||
−0.598023 | + | 0.801479i | \(0.704047\pi\) | |||||||
\(578\) | −14.6908 | − | 8.48171i | −0.611055 | − | 0.352793i | ||||
\(579\) | 5.50474 | + | 20.5440i | 0.228769 | + | 0.853778i | ||||
\(580\) | −7.71936 | − | 0.0490705i | −0.320529 | − | 0.00203754i | ||||
\(581\) | −21.0157 | + | 36.4003i | −0.871880 | + | 1.51014i | ||||
\(582\) | 8.64413 | + | 2.31619i | 0.358311 | + | 0.0960091i | ||||
\(583\) | 0.980240 | + | 1.69783i | 0.0405974 | + | 0.0703168i | ||||
\(584\) | −13.3512 | −0.552477 | ||||||||
\(585\) | −2.20230 | − | 7.75564i | −0.0910538 | − | 0.320656i | ||||
\(586\) | −17.0575 | −0.704639 | ||||||||
\(587\) | 10.4009 | + | 18.0149i | 0.429291 | + | 0.743553i | 0.996810 | − | 0.0798064i | \(-0.0254302\pi\) |
−0.567520 | + | 0.823360i | \(0.692097\pi\) | |||||||
\(588\) | 9.06237 | + | 2.42825i | 0.373726 | + | 0.100140i | ||||
\(589\) | −15.8727 | + | 27.4923i | −0.654023 | + | 1.13280i | ||||
\(590\) | −6.86380 | − | 6.95163i | −0.282578 | − | 0.286194i | ||||
\(591\) | −0.794588 | − | 2.96544i | −0.0326850 | − | 0.121982i | ||||
\(592\) | 6.84301 | + | 3.95081i | 0.281246 | + | 0.162377i | ||||
\(593\) | 19.4278 | 0.797802 | 0.398901 | − | 0.916994i | \(-0.369392\pi\) | ||||
0.398901 | + | 0.916994i | \(0.369392\pi\) | |||||||
\(594\) | −4.69766 | − | 2.71220i | −0.192747 | − | 0.111283i | ||||
\(595\) | 1.66899 | + | 0.458595i | 0.0684218 | + | 0.0188005i | ||||
\(596\) | −0.984433 | + | 3.67395i | −0.0403239 | + | 0.150491i | ||||
\(597\) | 2.31932 | − | 2.31932i | 0.0949235 | − | 0.0949235i | ||||
\(598\) | 11.2462 | − | 20.4709i | 0.459892 | − | 0.837119i | ||||
\(599\) | − | 22.2731i | − | 0.910054i | −0.890478 | − | 0.455027i | \(-0.849630\pi\) | ||
0.890478 | − | 0.455027i | \(-0.150370\pi\) | |||||||
\(600\) | 4.81279 | + | 1.35539i | 0.196481 | + | 0.0553336i | ||||
\(601\) | −6.36361 | − | 11.0221i | −0.259577 | − | 0.449601i | 0.706552 | − | 0.707662i | \(-0.250250\pi\) |
−0.966129 | + | 0.258061i | \(0.916917\pi\) | |||||||
\(602\) | 5.35489 | + | 19.9847i | 0.218249 | + | 0.814516i | ||||
\(603\) | − | 13.0830i | − | 0.532779i | ||||||
\(604\) | −7.64967 | + | 2.04972i | −0.311261 | + | 0.0834020i | ||||
\(605\) | −20.8251 | + | 35.5463i | −0.846660 | + | 1.44516i | ||||
\(606\) | 6.50679 | + | 6.50679i | 0.264320 | + | 0.264320i | ||||
\(607\) | 2.87328 | − | 0.769893i | 0.116623 | − | 0.0312490i | −0.200036 | − | 0.979789i | \(-0.564106\pi\) |
0.316658 | + | 0.948540i | \(0.397439\pi\) | |||||||
\(608\) | 1.63440 | − | 6.09967i | 0.0662837 | − | 0.247374i | ||||
\(609\) | −13.4969 | − | 3.61648i | −0.546921 | − | 0.146547i | ||||
\(610\) | −0.137166 | + | 21.5778i | −0.00555368 | + | 0.873659i | ||||
\(611\) | −5.51726 | − | 5.28778i | −0.223205 | − | 0.213921i | ||||
\(612\) | 0.135230 | + | 0.135230i | 0.00546637 | + | 0.00546637i | ||||
\(613\) | −25.6459 | + | 14.8067i | −1.03583 | + | 0.598036i | −0.918649 | − | 0.395075i | \(-0.870719\pi\) |
−0.117180 | + | 0.993111i | \(0.537385\pi\) | |||||||
\(614\) | 1.08138 | − | 0.624337i | 0.0436411 | − | 0.0251962i | ||||
\(615\) | 6.71431 | − | 11.4607i | 0.270747 | − | 0.462138i | ||||
\(616\) | 15.5246 | − | 15.5246i | 0.625504 | − | 0.625504i | ||||
\(617\) | −2.95213 | + | 5.11323i | −0.118848 | + | 0.205851i | −0.919311 | − | 0.393531i | \(-0.871254\pi\) |
0.800463 | + | 0.599382i | \(0.204587\pi\) | |||||||
\(618\) | 8.29877 | − | 14.3739i | 0.333825 | − | 0.578202i | ||||
\(619\) | 17.1516 | − | 17.1516i | 0.689381 | − | 0.689381i | −0.272714 | − | 0.962095i | \(-0.587921\pi\) |
0.962095 | + | 0.272714i | \(0.0879213\pi\) | |||||||
\(620\) | 10.8762 | − | 2.84029i | 0.436799 | − | 0.114069i | ||||
\(621\) | 5.61010 | − | 3.23899i | 0.225126 | − | 0.129976i | ||||
\(622\) | −15.7438 | + | 9.08969i | −0.631269 | + | 0.364463i | ||||
\(623\) | 18.0550 | + | 18.0550i | 0.723360 | + | 0.723360i | ||||
\(624\) | 3.16007 | + | 1.73607i | 0.126504 | + | 0.0694983i | ||||
\(625\) | 24.9919 | + | 0.635604i | 0.999677 | + | 0.0254241i | ||||
\(626\) | 22.5042 | + | 6.02999i | 0.899450 | + | 0.241007i | ||||
\(627\) | −8.86564 | + | 33.0870i | −0.354059 | + | 1.32137i | ||||
\(628\) | −14.1601 | + | 3.79419i | −0.565050 | + | 0.151405i | ||||
\(629\) | 1.06854 | + | 1.06854i | 0.0426055 | + | 0.0426055i | ||||
\(630\) | 7.80898 | + | 4.57495i | 0.311117 | + | 0.182270i | ||||
\(631\) | −22.1142 | + | 5.92547i | −0.880351 | + | 0.235889i | −0.670559 | − | 0.741857i | \(-0.733946\pi\) |
−0.209793 | + | 0.977746i | \(0.567279\pi\) | |||||||
\(632\) | − | 2.94298i | − | 0.117065i | ||||||
\(633\) | −4.06608 | − | 15.1748i | −0.161612 | − | 0.603145i | ||||
\(634\) | −12.1700 | − | 21.0791i | −0.483333 | − | 0.837156i | ||||
\(635\) | −7.05274 | + | 25.6674i | −0.279879 | + | 1.01858i | ||||
\(636\) | − | 0.361419i | − | 0.0143312i | ||||||
\(637\) | 32.8534 | + | 8.05942i | 1.30170 | + | 0.319326i | ||||
\(638\) | −13.2416 | + | 13.2416i | −0.524241 | + | 0.524241i | ||||
\(639\) | −0.0786499 | + | 0.293526i | −0.00311134 | + | 0.0116117i | ||||
\(640\) | −1.94356 | + | 1.10570i | −0.0768259 | + | 0.0437067i | ||||
\(641\) | −27.4399 | − | 15.8424i | −1.08381 | − | 0.625738i | −0.151889 | − | 0.988398i | \(-0.548536\pi\) |
−0.931922 | + | 0.362659i | \(0.881869\pi\) | |||||||
\(642\) | −2.22502 | −0.0878145 | ||||||||
\(643\) | 11.9009 | + | 6.87099i | 0.469326 | + | 0.270965i | 0.715957 | − | 0.698144i | \(-0.245990\pi\) |
−0.246632 | + | 0.969109i | \(0.579324\pi\) | |||||||
\(644\) | 6.78611 | + | 25.3261i | 0.267410 | + | 0.997988i | ||||
\(645\) | −0.0726583 | + | 11.4300i | −0.00286092 | + | 0.450056i | ||||
\(646\) | 0.603840 | − | 1.04588i | 0.0237578 | − | 0.0411497i | ||||
\(647\) | −8.86339 | − | 2.37494i | −0.348456 | − | 0.0933685i | 0.0803460 | − | 0.996767i | \(-0.474397\pi\) |
−0.428802 | + | 0.903399i | \(0.641064\pi\) | |||||||
\(648\) | 0.500000 | + | 0.866025i | 0.0196419 | + | 0.0340207i | ||||
\(649\) | −23.6987 | −0.930255 | ||||||||
\(650\) | 17.4526 | + | 4.51737i | 0.684547 | + | 0.177186i | ||||
\(651\) | 20.3471 | 0.797466 | ||||||||
\(652\) | −3.30721 | − | 5.72825i | −0.129520 | − | 0.224336i | ||||
\(653\) | −15.1390 | − | 4.05649i | −0.592435 | − | 0.158743i | −0.0498693 | − | 0.998756i | \(-0.515880\pi\) |
−0.542566 | + | 0.840013i | \(0.682547\pi\) | |||||||
\(654\) | −1.84668 | + | 3.19854i | −0.0722108 | + | 0.125073i | ||||
\(655\) | −0.174420 | + | 27.4383i | −0.00681516 | + | 1.07210i | ||||
\(656\) | 1.53743 | + | 5.73777i | 0.0600266 | + | 0.224022i | ||||
\(657\) | −11.5625 | − | 6.67560i | −0.451095 | − | 0.260440i | ||||
\(658\) | 8.57871 | 0.334433 | ||||||||
\(659\) | 12.4891 | + | 7.21057i | 0.486505 | + | 0.280884i | 0.723124 | − | 0.690719i | \(-0.242706\pi\) |
−0.236618 | + | 0.971603i | \(0.576039\pi\) | |||||||
\(660\) | 10.5426 | − | 5.99776i | 0.410371 | − | 0.233463i | ||||
\(661\) | 8.43403 | − | 31.4762i | 0.328046 | − | 1.22428i | −0.583169 | − | 0.812351i | \(-0.698187\pi\) |
0.911214 | − | 0.411932i | \(-0.135146\pi\) | |||||||
\(662\) | −3.78823 | + | 3.78823i | −0.147234 | + | 0.147234i | ||||
\(663\) | 0.497823 | + | 0.477117i | 0.0193339 | + | 0.0185297i | ||||
\(664\) | − | 10.3846i | − | 0.403001i | ||||||
\(665\) | 15.1427 | − | 55.1095i | 0.587207 | − | 2.13705i | ||||
\(666\) | 3.95081 | + | 6.84301i | 0.153091 | + | 0.265161i | ||||
\(667\) | −5.78817 | − | 21.6018i | −0.224119 | − | 0.836424i | ||||
\(668\) | 18.0285i | 0.697543i | ||||||||
\(669\) | 22.9276 | − | 6.14342i | 0.886431 | − | 0.237518i | ||||
\(670\) | 25.2416 | + | 14.7879i | 0.975166 | + | 0.571308i | ||||
\(671\) | 37.0141 | + | 37.0141i | 1.42891 | + | 1.42891i | ||||
\(672\) | −3.90956 | + | 1.04756i | −0.150815 | + | 0.0404106i | ||||
\(673\) | −7.76610 | + | 28.9835i | −0.299361 | + | 1.11723i | 0.638330 | + | 0.769762i | \(0.279625\pi\) |
−0.937692 | + | 0.347469i | \(0.887041\pi\) | |||||||
\(674\) | −6.46436 | − | 1.73212i | −0.248998 | − | 0.0667187i | ||||
\(675\) | 3.49030 | + | 3.58020i | 0.134342 | + | 0.137802i | ||||
\(676\) | 11.5242 | + | 6.01614i | 0.443237 | + | 0.231390i | ||||
\(677\) | 2.95656 | + | 2.95656i | 0.113630 | + | 0.113630i | 0.761635 | − | 0.648006i | \(-0.224397\pi\) |
−0.648006 | + | 0.761635i | \(0.724397\pi\) | |||||||
\(678\) | −12.1583 | + | 7.01959i | −0.466936 | + | 0.269586i | ||||
\(679\) | −31.3684 | + | 18.1106i | −1.20381 | + | 0.695019i | ||||
\(680\) | −0.413760 | + | 0.108052i | −0.0158670 | + | 0.00414362i | ||||
\(681\) | 17.0818 | − | 17.0818i | 0.654575 | − | 0.654575i | ||||
\(682\) | 13.6345 | − | 23.6157i | 0.522092 | − | 0.904290i | ||||
\(683\) | −19.6927 | + | 34.1087i | −0.753519 | + | 1.30513i | 0.192588 | + | 0.981280i | \(0.438312\pi\) |
−0.946107 | + | 0.323854i | \(0.895021\pi\) | |||||||
\(684\) | 4.46527 | − | 4.46527i | 0.170734 | − | 0.170734i | ||||
\(685\) | −6.89796 | + | 11.7741i | −0.263557 | + | 0.449866i | ||||
\(686\) | −8.34962 | + | 4.82066i | −0.318790 | + | 0.184054i | ||||
\(687\) | 5.98396 | − | 3.45484i | 0.228302 | − | 0.131810i | ||||
\(688\) | −3.61456 | − | 3.61456i | −0.137804 | − | 0.137804i | ||||
\(689\) | −0.0276697 | − | 1.30282i | −0.00105413 | − | 0.0496336i | ||||
\(690\) | −0.0920779 | + | 14.4849i | −0.00350535 | + | 0.551432i | ||||
\(691\) | −11.6332 | − | 3.11712i | −0.442550 | − | 0.118581i | 0.0306616 | − | 0.999530i | \(-0.490239\pi\) |
−0.473211 | + | 0.880949i | \(0.656905\pi\) | |||||||
\(692\) | 2.73466 | − | 10.2059i | 0.103956 | − | 0.387969i | ||||
\(693\) | 21.2070 | − | 5.68240i | 0.805587 | − | 0.215856i | ||||
\(694\) | −16.2097 | − | 16.2097i | −0.615313 | − | 0.615313i | ||||
\(695\) | 2.10538 | − | 3.59368i | 0.0798617 | − | 0.136316i | ||||
\(696\) | 3.33464 | − | 0.893514i | 0.126399 | − | 0.0338686i | ||||
\(697\) | 1.13603i | 0.0430301i | ||||||||
\(698\) | −4.40694 | − | 16.4469i | −0.166805 | − | 0.622525i | ||||
\(699\) | −1.34508 | − | 2.32974i | −0.0508755 | − | 0.0881190i | ||||
\(700\) | −17.6533 | + | 9.89506i | −0.667232 | + | 0.373998i | ||||
\(701\) | 20.1190i | 0.759884i | 0.925010 | + | 0.379942i | \(0.124056\pi\) | ||||
−0.925010 | + | 0.379942i | \(0.875944\pi\) | |||||||
\(702\) | 1.86867 | + | 3.08352i | 0.0705284 | + | 0.116380i | ||||
\(703\) | 35.2829 | − | 35.2829i | 1.33072 | − | 1.33072i | ||||
\(704\) | −1.40394 | + | 5.23956i | −0.0529128 | + | 0.197473i | ||||
\(705\) | 4.57001 | + | 1.25572i | 0.172117 | + | 0.0472932i | ||||
\(706\) | −10.0175 | − | 5.78360i | −0.377013 | − | 0.217669i | ||||
\(707\) | −37.2448 | −1.40074 | ||||||||
\(708\) | 3.78359 | + | 2.18446i | 0.142196 | + | 0.0820969i | ||||
\(709\) | −1.99950 | − | 7.46225i | −0.0750930 | − | 0.280251i | 0.918161 | − | 0.396207i | \(-0.129674\pi\) |
−0.993254 | + | 0.115956i | \(0.963007\pi\) | |||||||
\(710\) | −0.477413 | − | 0.483521i | −0.0179170 | − | 0.0181462i | ||||
\(711\) | 1.47149 | − | 2.54869i | 0.0551851 | − | 0.0955835i | ||||
\(712\) | −6.09359 | − | 1.63277i | −0.228367 | − | 0.0611907i | ||||
\(713\) | 16.2828 | + | 28.2026i | 0.609795 | + | 1.05620i | ||||
\(714\) | −0.774058 | −0.0289684 | ||||||||
\(715\) | 37.5443 | − | 22.4275i | 1.40408 | − | 0.838740i | ||||
\(716\) | −17.0464 | −0.637054 | ||||||||
\(717\) | 12.1164 | + | 20.9862i | 0.452496 | + | 0.783745i | ||||
\(718\) | −22.1464 | − | 5.93410i | −0.826496 | − | 0.221459i | ||||
\(719\) | −23.2534 | + | 40.2761i | −0.867207 | + | 1.50205i | −0.00236843 | + | 0.999997i | \(0.500754\pi\) |
−0.864839 | + | 0.502050i | \(0.832579\pi\) | |||||||
\(720\) | −2.23602 | − | 0.0142140i | −0.0833316 | − | 0.000529723i | ||||
\(721\) | 17.3870 | + | 64.8891i | 0.647525 | + | 2.41660i | ||||
\(722\) | −18.0802 | − | 10.4386i | −0.672876 | − | 0.388485i | ||||
\(723\) | −8.04701 | −0.299272 | ||||||||
\(724\) | −14.0627 | − | 8.11912i | −0.522637 | − | 0.301745i | ||||
\(725\) | 15.0573 | − | 8.43994i | 0.559214 | − | 0.313451i | ||||
\(726\) | 4.76849 | − | 17.7963i | 0.176975 | − | 0.660481i | ||||
\(727\) | 35.6693 | − | 35.6693i | 1.32290 | − | 1.32290i | 0.411483 | − | 0.911417i | \(-0.365011\pi\) |
0.911417 | − | 0.411483i | \(-0.134989\pi\) | |||||||
\(728\) | −14.0127 | + | 4.07550i | −0.519347 | + | 0.151048i | ||||
\(729\) | 1.00000i | 0.0370370i | ||||||||
\(730\) | 25.9489 | − | 14.7624i | 0.960410 | − | 0.546383i | ||||
\(731\) | −0.488798 | − | 0.846623i | −0.0180788 | − | 0.0313135i | ||||
\(732\) | −2.49762 | − | 9.32126i | −0.0923148 | − | 0.344524i | ||||
\(733\) | 31.4760i | 1.16259i | 0.813692 | + | 0.581296i | \(0.197454\pi\) | ||||
−0.813692 | + | 0.581296i | \(0.802546\pi\) | |||||||
\(734\) | 3.41678 | − | 0.915524i | 0.126116 | − | 0.0337926i | ||||
\(735\) | −20.2982 | + | 5.30082i | −0.748710 | + | 0.195524i | ||||
\(736\) | −4.58063 | − | 4.58063i | −0.168844 | − | 0.168844i | ||||
\(737\) | 68.5490 | − | 18.3676i | 2.52503 | − | 0.676581i | ||||
\(738\) | −1.53743 | + | 5.73777i | −0.0565936 | + | 0.211210i | ||||
\(739\) | 4.10767 | + | 1.10065i | 0.151103 | + | 0.0404880i | 0.333578 | − | 0.942723i | \(-0.391744\pi\) |
−0.182475 | + | 0.983211i | \(0.558411\pi\) | |||||||
\(740\) | −17.6682 | − | 0.112313i | −0.649497 | − | 0.00412872i | ||||
\(741\) | 15.7543 | − | 16.4380i | 0.578748 | − | 0.603864i | ||||
\(742\) | 1.03438 | + | 1.03438i | 0.0379733 | + | 0.0379733i | ||||
\(743\) | −18.5342 | + | 10.7007i | −0.679954 | + | 0.392572i | −0.799838 | − | 0.600216i | \(-0.795081\pi\) |
0.119884 | + | 0.992788i | \(0.461748\pi\) | |||||||
\(744\) | −4.35360 | + | 2.51355i | −0.159611 | + | 0.0921514i | ||||
\(745\) | −2.14899 | − | 8.22903i | −0.0787330 | − | 0.301488i | ||||
\(746\) | 13.5788 | − | 13.5788i | 0.497155 | − | 0.497155i | ||||
\(747\) | 5.19231 | − | 8.99334i | 0.189977 | − | 0.329049i | ||||
\(748\) | −0.518693 | + | 0.898403i | −0.0189653 | + | 0.0328489i | ||||
\(749\) | 6.36800 | − | 6.36800i | 0.232682 | − | 0.232682i | ||||
\(750\) | −10.8526 | + | 2.68723i | −0.396281 | + | 0.0981236i | ||||
\(751\) | 34.7913 | − | 20.0868i | 1.26955 | − | 0.732977i | 0.294650 | − | 0.955605i | \(-0.404797\pi\) |
0.974903 | + | 0.222628i | \(0.0714636\pi\) | |||||||
\(752\) | −1.83556 | + | 1.05976i | −0.0669360 | + | 0.0386455i | ||||
\(753\) | 9.20539 | + | 9.20539i | 0.335463 | + | 0.335463i | ||||
\(754\) | 11.9521 | − | 3.47618i | 0.435270 | − | 0.126595i | ||||
\(755\) | 12.6012 | − | 12.4420i | 0.458605 | − | 0.452811i | ||||
\(756\) | −3.90956 | − | 1.04756i | −0.142189 | − | 0.0380995i | ||||
\(757\) | 4.51154 | − | 16.8373i | 0.163975 | − | 0.611962i | −0.834194 | − | 0.551471i | \(-0.814067\pi\) |
0.998169 | − | 0.0604911i | \(-0.0192667\pi\) | |||||||
\(758\) | −25.1566 | + | 6.74069i | −0.913729 | + | 0.244833i | ||||
\(759\) | 24.8471 | + | 24.8471i | 0.901894 | + | 0.901894i | ||||
\(760\) | 3.56786 | + | 13.6622i | 0.129420 | + | 0.495581i | ||||
\(761\) | −33.8433 | + | 9.06830i | −1.22682 | + | 0.328725i | −0.813341 | − | 0.581788i | \(-0.802353\pi\) |
−0.413480 | + | 0.910513i | \(0.635687\pi\) | |||||||
\(762\) | − | 11.9043i | − | 0.431246i | ||||||
\(763\) | −3.86902 | − | 14.4394i | −0.140068 | − | 0.522741i | ||||
\(764\) | 2.66551 | + | 4.61680i | 0.0964347 | + | 0.167030i | ||||
\(765\) | −0.412353 | − | 0.113304i | −0.0149086 | − | 0.00409651i | ||||
\(766\) | 22.1379i | 0.799876i | ||||||||
\(767\) | 13.8061 | + | 7.58472i | 0.498509 | + | 0.273869i | ||||
\(768\) | 0.707107 | − | 0.707107i | 0.0255155 | − | 0.0255155i | ||||
\(769\) | 2.18355 | − | 8.14911i | 0.0787407 | − | 0.293864i | −0.915315 | − | 0.402739i | \(-0.868058\pi\) |
0.994055 | + | 0.108875i | \(0.0347248\pi\) | |||||||
\(770\) | −13.0074 | + | 47.3386i | −0.468754 | + | 1.70596i | ||||
\(771\) | 4.84860 | + | 2.79934i | 0.174618 | + | 0.100816i | ||||
\(772\) | 21.2687 | 0.765476 | ||||||||
\(773\) | 13.3370 | + | 7.70010i | 0.479697 | + | 0.276953i | 0.720290 | − | 0.693673i | \(-0.244009\pi\) |
−0.240593 | + | 0.970626i | \(0.577342\pi\) | |||||||
\(774\) | −1.32302 | − | 4.93758i | −0.0475550 | − | 0.177477i | ||||
\(775\) | −17.9980 | + | 17.5461i | −0.646508 | + | 0.630275i | ||||
\(776\) | 4.47453 | − | 7.75012i | 0.160626 | − | 0.278213i | ||||
\(777\) | −30.8919 | − | 8.27746i | −1.10824 | − | 0.296952i | ||||
\(778\) | 8.80294 | + | 15.2471i | 0.315601 | + | 0.546636i | ||||
\(779\) | 37.5113 | 1.34398 | ||||||||
\(780\) | −8.06137 | + | 0.119949i | −0.288643 | + | 0.00429485i | ||||
\(781\) | −1.64836 | −0.0589831 | ||||||||
\(782\) | −0.619441 | − | 1.07290i | −0.0221511 | − | 0.0383669i | ||||
\(783\) | 3.33464 | + | 0.893514i | 0.119170 | + | 0.0319316i | ||||
\(784\) | 4.69103 | − | 8.12510i | 0.167537 | − | 0.290182i | ||||
\(785\) | 23.3258 | − | 23.0311i | 0.832533 | − | 0.822015i | ||||
\(786\) | −3.17598 | − | 11.8529i | −0.113283 | − | 0.422779i | ||||
\(787\) | −25.4232 | − | 14.6781i | −0.906238 | − | 0.523217i | −0.0270193 | − | 0.999635i | \(-0.508602\pi\) |
−0.879219 | + | 0.476418i | \(0.841935\pi\) | |||||||
\(788\) | −3.07005 | −0.109366 | ||||||||
\(789\) | 24.7160 | + | 14.2698i | 0.879914 | + | 0.508019i | ||||
\(790\) | 3.25406 | + | 5.71985i | 0.115774 | + | 0.203503i | ||||
\(791\) | 14.7069 | − | 54.8870i | 0.522918 | − | 1.95156i | ||||
\(792\) | −3.83563 | + | 3.83563i | −0.136293 | + | 0.136293i | ||||
\(793\) | −9.71690 | − | 33.4095i | −0.345057 | − | 1.18641i | ||||
\(794\) | − | 25.3460i | − | 0.899495i | ||||||
\(795\) | 0.399622 | + | 0.702440i | 0.0141731 | + | 0.0249130i | ||||
\(796\) | −1.64001 | − | 2.84058i | −0.0581285 | − | 0.100682i | ||||
\(797\) | −3.28150 | − | 12.2467i | −0.116237 | − | 0.433801i | 0.883140 | − | 0.469110i | \(-0.155425\pi\) |
−0.999376 | + | 0.0353089i | \(0.988758\pi\) | |||||||
\(798\) | 25.5592i | 0.904785i | ||||||||
\(799\) | −0.391535 | + | 0.104912i | −0.0138515 | + | 0.00371151i | ||||
\(800\) | 2.55485 | − | 4.29799i | 0.0903275 | − | 0.151957i | ||||
\(801\) | −4.46081 | − | 4.46081i | −0.157615 | − | 0.157615i | ||||
\(802\) | 19.9411 | − | 5.34321i | 0.704146 | − | 0.188675i | ||||
\(803\) | 18.7442 | − | 69.9544i | 0.661470 | − | 2.46864i | ||||
\(804\) | −12.6372 | − | 3.38612i | −0.445679 | − | 0.119419i | ||||
\(805\) | −41.1923 | − | 41.7194i | −1.45184 | − | 1.47041i | ||||
\(806\) | −15.5012 | + | 9.39401i | −0.546005 | + | 0.330890i | ||||
\(807\) | 1.95354 | + | 1.95354i | 0.0687679 | + | 0.0687679i | ||||
\(808\) | 7.96916 | − | 4.60100i | 0.280354 | − | 0.161862i | ||||
\(809\) | 6.66118 | − | 3.84584i | 0.234195 | − | 0.135212i | −0.378311 | − | 0.925679i | \(-0.623495\pi\) |
0.612506 | + | 0.790466i | \(0.290162\pi\) | |||||||
\(810\) | −1.92935 | − | 1.13032i | −0.0677903 | − | 0.0397154i | ||||
\(811\) | −9.30453 | + | 9.30453i | −0.326726 | + | 0.326726i | −0.851340 | − | 0.524614i | \(-0.824210\pi\) |
0.524614 | + | 0.851340i | \(0.324210\pi\) | |||||||
\(812\) | −6.98649 | + | 12.1010i | −0.245178 | + | 0.424661i | ||||
\(813\) | −5.63862 | + | 9.76638i | −0.197755 | + | 0.342522i | ||||
\(814\) | −30.3077 | + | 30.3077i | −1.06228 | + | 1.06228i | ||||
\(815\) | 12.7615 | + | 7.47642i | 0.447016 | + | 0.261887i | ||||
\(816\) | 0.165623 | − | 0.0956223i | 0.00579796 | − | 0.00334745i | ||||
\(817\) | −27.9552 | + | 16.1400i | −0.978030 | + | 0.564666i | ||||
\(818\) | −4.16416 | − | 4.16416i | −0.145596 | − | 0.145596i | ||||
\(819\) | −14.1731 | − | 3.47688i | −0.495250 | − | 0.121492i | ||||
\(820\) | −9.33235 | − | 9.45176i | −0.325900 | − | 0.330070i | ||||
\(821\) | 23.3227 | + | 6.24931i | 0.813969 | + | 0.218102i | 0.641708 | − | 0.766949i | \(-0.278226\pi\) |
0.172261 | + | 0.985051i | \(0.444893\pi\) | |||||||
\(822\) | 1.57948 | − | 5.89471i | 0.0550908 | − | 0.205602i | ||||
\(823\) | 15.7789 | − | 4.22794i | 0.550017 | − | 0.147377i | 0.0269010 | − | 0.999638i | \(-0.491436\pi\) |
0.523116 | + | 0.852262i | \(0.324769\pi\) | |||||||
\(824\) | −11.7362 | − | 11.7362i | −0.408851 | − | 0.408851i | ||||
\(825\) | −13.8585 | + | 23.3140i | −0.482491 | + | 0.811690i | ||||
\(826\) | −17.0805 | + | 4.57671i | −0.594307 | + | 0.159244i | ||||
\(827\) | − | 19.2456i | − | 0.669235i | −0.942354 | − | 0.334617i | \(-0.891393\pi\) | ||
0.942354 | − | 0.334617i | \(-0.108607\pi\) | |||||||
\(828\) | −1.67663 | − | 6.25726i | −0.0582668 | − | 0.217455i | ||||
\(829\) | 1.64125 | + | 2.84273i | 0.0570030 | + | 0.0987322i | 0.893119 | − | 0.449821i | \(-0.148512\pi\) |
−0.836116 | + | 0.548553i | \(0.815179\pi\) | |||||||
\(830\) | 11.4823 | + | 20.1831i | 0.398556 | + | 0.700566i | ||||
\(831\) | 2.34422i | 0.0813200i | ||||||||
\(832\) | 2.49480 | − | 2.60307i | 0.0864916 | − | 0.0902452i | ||||
\(833\) | 1.26874 | − | 1.26874i | 0.0439592 | − | 0.0439592i | ||||
\(834\) | −0.482087 | + | 1.79917i | −0.0166933 | + | 0.0623003i | ||||
\(835\) | −19.9341 | − | 35.0394i | −0.689849 | − | 1.21259i | ||||
\(836\) | 29.6650 | + | 17.1271i | 1.02599 | + | 0.592353i | ||||
\(837\) | −5.02711 | −0.173762 | ||||||||
\(838\) | 13.2160 | + | 7.63025i | 0.456538 | + | 0.263583i | ||||
\(839\) | −0.270259 | − | 1.00862i | −0.00933039 | − | 0.0348215i | 0.961104 | − | 0.276188i | \(-0.0890712\pi\) |
−0.970434 | + | 0.241366i | \(0.922404\pi\) | |||||||
\(840\) | 6.44017 | − | 6.35881i | 0.222207 | − | 0.219400i | ||||
\(841\) | −8.54091 | + | 14.7933i | −0.294514 | + | 0.510113i | ||||
\(842\) | 2.99291 | + | 0.801948i | 0.103142 | + | 0.0276369i | ||||
\(843\) | −11.4038 | − | 19.7520i | −0.392768 | − | 0.680294i | ||||
\(844\) | −15.7101 | −0.540765 | ||||||||
\(845\) | −29.0499 | + | 1.04955i | −0.999348 | + | 0.0361056i | ||||
\(846\) | −2.11952 | −0.0728707 | ||||||||
\(847\) | 37.2854 | + | 64.5803i | 1.28114 | + | 2.21900i | ||||
\(848\) | −0.349104 | − | 0.0935422i | −0.0119883 | − | 0.00321225i | ||||
\(849\) | −11.2756 | + | 19.5300i | −0.386979 | + | 0.670267i | ||||
\(850\) | 0.684693 | − | 0.667501i | 0.0234848 | − | 0.0228951i | ||||
\(851\) | −13.2481 | − | 49.4425i | −0.454138 | − | 1.69487i | ||||
\(852\) | 0.263168 | + | 0.151940i | 0.00901598 | + | 0.00520538i | ||||
\(853\) | 16.2227 | 0.555456 | 0.277728 | − | 0.960660i | \(-0.410419\pi\) | ||||
0.277728 | + | 0.960660i | \(0.410419\pi\) | |||||||
\(854\) | 33.8256 | + | 19.5292i | 1.15749 | + | 0.668276i | ||||
\(855\) | −3.74126 | + | 13.6158i | −0.127948 | + | 0.465649i | ||||
\(856\) | −0.575877 | + | 2.14920i | −0.0196831 | + | 0.0734583i | ||||
\(857\) | 21.1256 | − | 21.1256i | 0.721638 | − | 0.721638i | −0.247301 | − | 0.968939i | \(-0.579544\pi\) |
0.968939 | + | 0.247301i | \(0.0795436\pi\) | |||||||
\(858\) | −13.5328 | + | 14.1201i | −0.462001 | + | 0.482051i | ||||
\(859\) | − | 8.87764i | − | 0.302901i | −0.988465 | − | 0.151451i | \(-0.951606\pi\) | ||
0.988465 | − | 0.151451i | \(-0.0483945\pi\) | |||||||
\(860\) | 11.0217 | + | 3.02848i | 0.375838 | + | 0.103270i | ||||
\(861\) | −12.0214 | − | 20.8216i | −0.409687 | − | 0.709599i | ||||
\(862\) | 2.83012 | + | 10.5621i | 0.0963942 | + | 0.359748i | ||||
\(863\) | 5.12570i | 0.174481i | 0.996187 | + | 0.0872404i | \(0.0278048\pi\) | ||||
−0.996187 | + | 0.0872404i | \(0.972195\pi\) | |||||||
\(864\) | 0.965926 | − | 0.258819i | 0.0328615 | − | 0.00880520i | ||||
\(865\) | 5.96969 | + | 22.8594i | 0.202976 | + | 0.777245i | ||||
\(866\) | −23.5177 | − | 23.5177i | −0.799163 | − | 0.799163i | ||||
\(867\) | −16.3854 | + | 4.39046i | −0.556478 | + | 0.149108i | ||||
\(868\) | 5.26622 | − | 19.6538i | 0.178747 | − | 0.667093i | ||||
\(869\) | 15.4199 | + | 4.13175i | 0.523085 | + | 0.140160i | ||||
\(870\) | −5.49311 | + | 5.42371i | −0.186234 | + | 0.183881i | ||||
\(871\) | −45.8129 | − | 11.2386i | −1.55231 | − | 0.380805i | ||||
\(872\) | 2.61160 | + | 2.61160i | 0.0884398 | + | 0.0884398i | ||||
\(873\) | 7.75012 | − | 4.47453i | 0.262302 | − | 0.151440i | ||||
\(874\) | −35.4269 | + | 20.4537i | −1.19833 | + | 0.691858i | ||||
\(875\) | 23.3693 | − | 38.7509i | 0.790025 | − | 1.31002i | ||||
\(876\) | −9.44072 | + | 9.44072i | −0.318972 | + | 0.318972i | ||||
\(877\) | 7.32133 | − | 12.6809i | 0.247224 | − | 0.428204i | −0.715531 | − | 0.698581i | \(-0.753815\pi\) |
0.962754 | + | 0.270377i | \(0.0871484\pi\) | |||||||
\(878\) | 6.66616 | − | 11.5461i | 0.224972 | − | 0.389663i | ||||
\(879\) | −12.0615 | + | 12.0615i | −0.406824 | + | 0.406824i | ||||
\(880\) | −3.06476 | − | 11.7357i | −0.103313 | − | 0.395612i | ||||
\(881\) | −9.96403 | + | 5.75274i | −0.335697 | + | 0.193815i | −0.658367 | − | 0.752697i | \(-0.728753\pi\) |
0.322671 | + | 0.946511i | \(0.395419\pi\) | |||||||
\(882\) | 8.12510 | − | 4.69103i | 0.273586 | − | 0.157955i | ||||
\(883\) | 11.3276 | + | 11.3276i | 0.381204 | + | 0.381204i | 0.871536 | − | 0.490332i | \(-0.163124\pi\) |
−0.490332 | + | 0.871536i | \(0.663124\pi\) | |||||||
\(884\) | 0.589706 | − | 0.357373i | 0.0198340 | − | 0.0120198i | ||||
\(885\) | −9.76898 | − | 0.0620995i | −0.328381 | − | 0.00208745i | ||||
\(886\) | −6.56567 | − | 1.75927i | −0.220578 | − | 0.0591037i | ||||
\(887\) | 1.52231 | − | 5.68132i | 0.0511140 | − | 0.190760i | −0.935648 | − | 0.352934i | \(-0.885184\pi\) |
0.986762 | + | 0.162174i | \(0.0518506\pi\) | |||||||
\(888\) | 7.63239 | − | 2.04509i | 0.256126 | − | 0.0686288i | ||||
\(889\) | 34.0700 | + | 34.0700i | 1.14267 | + | 1.14267i | ||||
\(890\) | 13.6486 | − | 3.56430i | 0.457502 | − | 0.119476i | ||||
\(891\) | −5.23956 | + | 1.40394i | −0.175532 | + | 0.0470336i | ||||
\(892\) | − | 23.7364i | − | 0.794752i | ||||||
\(893\) | 3.46415 | + | 12.9284i | 0.115923 | + | 0.432632i | ||||
\(894\) | 1.90178 | + | 3.29398i | 0.0636050 | + | 0.110167i | ||||
\(895\) | 33.1307 | − | 18.8482i | 1.10744 | − | 0.630027i | ||||
\(896\) | 4.04748i | 0.135217i | ||||||||
\(897\) | −6.52285 | − | 22.4274i | −0.217792 | − | 0.748830i | ||||
\(898\) | −20.4525 | + | 20.4525i | −0.682509 | + | 0.682509i | ||||
\(899\) | −4.49179 | + | 16.7636i | −0.149810 | + | 0.559097i | ||||
\(900\) | 4.36156 | − | 2.44475i | 0.145385 | − | 0.0814916i | ||||
\(901\) | −0.0598593 | − | 0.0345598i | −0.00199420 | − | 0.00115135i | ||||
\(902\) | −32.2219 | −1.07287 | ||||||||
\(903\) | 17.9178 | + | 10.3449i | 0.596267 | + | 0.344255i | ||||
\(904\) | 3.63361 | + | 13.5608i | 0.120852 | + | 0.451026i | ||||
\(905\) | 36.3091 | + | 0.230810i | 1.20695 | + | 0.00767238i | ||||
\(906\) | −3.95976 | + | 6.85851i | −0.131554 | + | 0.227859i | ||||
\(907\) | 10.3697 | + | 2.77855i | 0.344320 | + | 0.0922604i | 0.426835 | − | 0.904329i | \(-0.359628\pi\) |
−0.0825147 | + | 0.996590i | \(0.526295\pi\) | |||||||
\(908\) | −12.0786 | − | 20.9208i | −0.400844 | − | 0.694281i | ||||
\(909\) | 9.20199 | 0.305211 | ||||||||
\(910\) | 22.7283 | − | 23.4149i | 0.753436 | − | 0.776196i | ||||
\(911\) | −16.8449 | −0.558097 | −0.279048 | − | 0.960277i | \(-0.590019\pi\) | ||||
−0.279048 | + | 0.960277i | \(0.590019\pi\) | |||||||
\(912\) | −3.15742 | − | 5.46881i | −0.104553 | − | 0.181091i | ||||
\(913\) | 54.4108 | + | 14.5793i | 1.80074 | + | 0.482506i | ||||
\(914\) | −4.52778 | + | 7.84234i | −0.149766 | + | 0.259402i | ||||
\(915\) | 15.1608 | + | 15.3548i | 0.501201 | + | 0.507614i | ||||
\(916\) | −1.78836 | − | 6.67424i | −0.0590890 | − | 0.220523i | ||||
\(917\) | 43.0127 | + | 24.8334i | 1.42040 | + | 0.820070i | ||||
\(918\) | 0.191245 | 0.00631201 | ||||||||
\(919\) | −34.0429 | − | 19.6547i | −1.12297 | − | 0.648348i | −0.180814 | − | 0.983517i | \(-0.557873\pi\) |
−0.942158 | + | 0.335170i | \(0.891206\pi\) | |||||||
\(920\) | 13.9675 | + | 3.83792i | 0.460496 | + | 0.126532i | ||||
\(921\) | 0.323181 | − | 1.20613i | 0.0106492 | − | 0.0397432i | ||||
\(922\) | 15.1956 | − | 15.1956i | 0.500440 | − | 0.500440i | ||||
\(923\) | 0.960283 | + | 0.527556i | 0.0316081 | + | 0.0173647i | ||||
\(924\) | − | 21.9551i | − | 0.722270i | ||||||
\(925\) | 34.4634 | − | 19.3175i | 1.13315 | − | 0.635155i | ||||
\(926\) | −14.9487 | − | 25.8918i | −0.491243 | − | 0.850859i | ||||
\(927\) | −4.29576 | − | 16.0320i | −0.141091 | − | 0.526559i | ||||
\(928\) | − | 3.45227i | − | 0.113326i | ||||||
\(929\) | −43.8009 | + | 11.7364i | −1.43706 | + | 0.385059i | −0.891503 | − | 0.453015i | \(-0.850348\pi\) |
−0.545557 | + | 0.838074i | \(0.683682\pi\) | |||||||
\(930\) | 5.68225 | − | 9.69903i | 0.186328 | − | 0.318044i | ||||
\(931\) | −41.8934 | − | 41.8934i | −1.37300 | − | 1.37300i | ||||
\(932\) | −2.59849 | + | 0.696264i | −0.0851164 | + | 0.0228069i | ||||
\(933\) | −4.70517 | + | 17.5599i | −0.154040 | + | 0.574886i | ||||
\(934\) | 34.9973 | + | 9.37750i | 1.14515 | + | 0.306841i | ||||
\(935\) | 0.0147454 | − | 2.31962i | 0.000482225 | − | 0.0758597i | ||||
\(936\) | 3.46210 | − | 1.00692i | 0.113162 | − | 0.0329124i | ||||
\(937\) | −10.6838 | − | 10.6838i | −0.349026 | − | 0.349026i | 0.510721 | − | 0.859747i | \(-0.329379\pi\) |
−0.859747 | + | 0.510721i | \(0.829379\pi\) | |||||||
\(938\) | 45.8586 | − | 26.4765i | 1.49734 | − | 0.864488i | ||||
\(939\) | 20.1767 | − | 11.6491i | 0.658443 | − | 0.380152i | ||||
\(940\) | 2.39574 | − | 4.08929i | 0.0781404 | − | 0.133378i | ||||
\(941\) | −20.2840 | + | 20.2840i | −0.661240 | + | 0.661240i | −0.955672 | − | 0.294433i | \(-0.904869\pi\) |
0.294433 | + | 0.955672i | \(0.404869\pi\) | |||||||
\(942\) | −7.32981 | + | 12.6956i | −0.238818 | + | 0.413645i | ||||
\(943\) | 19.2402 | − | 33.3250i | 0.626547 | − | 1.08521i | ||||
\(944\) | 3.08929 | − | 3.08929i | 0.100548 | − | 0.100548i | ||||
\(945\) | 8.75676 | − | 2.28681i | 0.284857 | − | 0.0743898i | ||||
\(946\) | 24.0133 | − | 13.8641i | 0.780740 | − | 0.450760i | ||||
\(947\) | −10.0834 | + | 5.82164i | −0.327666 | + | 0.189178i | −0.654804 | − | 0.755798i | \(-0.727249\pi\) |
0.327139 | + | 0.944976i | \(0.393916\pi\) | |||||||
\(948\) | −2.08100 | − | 2.08100i | −0.0675877 | − | 0.0675877i | ||||
\(949\) | −33.3086 | + | 34.7541i | −1.08124 | + | 1.12817i | ||||
\(950\) | −22.0407 | − | 22.6084i | −0.715095 | − | 0.733512i | ||||
\(951\) | −23.5106 | − | 6.29966i | −0.762385 | − | 0.204280i | ||||
\(952\) | −0.200341 | + | 0.747683i | −0.00649309 | + | 0.0242325i | ||||
\(953\) | −20.2141 | + | 5.41636i | −0.654800 | + | 0.175453i | −0.570898 | − | 0.821021i | \(-0.693405\pi\) |
−0.0839019 | + | 0.996474i | \(0.526738\pi\) | |||||||
\(954\) | −0.255562 | − | 0.255562i | −0.00827413 | − | 0.00827413i | ||||
\(955\) | −10.2854 | − | 6.02576i | −0.332827 | − | 0.194989i | ||||
\(956\) | 23.4071 | − | 6.27192i | 0.757040 | − | 0.202848i | ||||
\(957\) | 18.7265i | 0.605341i | ||||||||
\(958\) | −3.50087 | − | 13.0654i | −0.113108 | − | 0.422124i | ||||
\(959\) | 12.3502 | + | 21.3911i | 0.398808 | + | 0.690755i | ||||
\(960\) | −0.592455 | + | 2.15615i | −0.0191214 | + | 0.0695895i | ||||
\(961\) | 5.72818i | 0.184780i | ||||||||
\(962\) | 27.3562 | − | 7.95634i | 0.881999 | − | 0.256523i | ||||
\(963\) | −1.57333 | + | 1.57333i | −0.0506997 | + | 0.0506997i | ||||
\(964\) | −2.08272 | + | 7.77282i | −0.0670799 | + | 0.250346i | ||||
\(965\) | −41.3369 | + | 23.5168i | −1.33068 | + | 0.757033i | ||||
\(966\) | 22.7068 | + | 13.1098i | 0.730578 | + | 0.421799i | ||||
\(967\) | −10.0253 | −0.322393 | −0.161197 | − | 0.986922i | \(-0.551535\pi\) | ||||
−0.161197 | + | 0.986922i | \(0.551535\pi\) | |||||||
\(968\) | −15.9557 | − | 9.21202i | −0.512835 | − | 0.296086i | ||||
\(969\) | −0.312571 | − | 1.16653i | −0.0100412 | − | 0.0374743i | ||||
\(970\) | −0.127202 | + | 20.0103i | −0.00408420 | + | 0.642492i | ||||
\(971\) | −1.61154 | + | 2.79127i | −0.0517167 | + | 0.0895760i | −0.890725 | − | 0.454543i | \(-0.849803\pi\) |
0.839008 | + | 0.544119i | \(0.183136\pi\) | |||||||
\(972\) | 0.965926 | + | 0.258819i | 0.0309821 | + | 0.00830162i | ||||
\(973\) | −3.76950 | − | 6.52896i | −0.120845 | − | 0.209309i | ||||
\(974\) | 22.6808 | 0.726738 | ||||||||
\(975\) | 15.5351 | − | 9.14659i | 0.497522 | − | 0.292925i | ||||
\(976\) | −9.65007 | −0.308891 | ||||||||
\(977\) | 17.7725 | + | 30.7828i | 0.568592 | + | 0.984829i | 0.996706 | + | 0.0811048i | \(0.0258448\pi\) |
−0.428114 | + | 0.903725i | \(0.640822\pi\) | |||||||
\(978\) | −6.38904 | − | 1.71194i | −0.204299 | − | 0.0547417i | ||||
\(979\) | 17.1100 | − | 29.6354i | 0.546838 | − | 0.947152i | ||||
\(980\) | −0.133356 | + | 20.9785i | −0.00425991 | + | 0.670133i | ||||
\(981\) | 0.955910 | + | 3.56751i | 0.0305199 | + | 0.113902i | ||||
\(982\) | −31.8367 | − | 18.3809i | −1.01595 | − | 0.586559i | ||||
\(983\) | −33.0159 | −1.05304 | −0.526522 | − | 0.850161i | \(-0.676504\pi\) | ||||
−0.526522 | + | 0.850161i | \(0.676504\pi\) | |||||||
\(984\) | 5.14435 | + | 2.97009i | 0.163996 | + | 0.0946830i | ||||
\(985\) | 5.96683 | − | 3.39456i | 0.190119 | − | 0.108160i | ||||
\(986\) | 0.170880 | − | 0.637732i | 0.00544192 | − | 0.0203095i | ||||
\(987\) | 6.06607 | − | 6.06607i | 0.193085 | − | 0.193085i | ||||
\(988\) | −11.8004 | − | 19.4719i | −0.375420 | − | 0.619484i | ||||
\(989\) | 33.1139i | 1.05296i | ||||||||
\(990\) | 3.21371 | − | 11.6958i | 0.102138 | − | 0.371718i | ||||
\(991\) | −10.4655 | − | 18.1268i | −0.332447 | − | 0.575815i | 0.650544 | − | 0.759469i | \(-0.274541\pi\) |
−0.982991 | + | 0.183653i | \(0.941208\pi\) | |||||||
\(992\) | 1.30111 | + | 4.85581i | 0.0413103 | + | 0.154172i | ||||
\(993\) | 5.35736i | 0.170011i | ||||||||
\(994\) | −1.18804 | + | 0.318334i | −0.0376823 | + | 0.0100969i | ||||
\(995\) | 6.32828 | + | 3.70747i | 0.200620 | + | 0.117535i | ||||
\(996\) | −7.34303 | − | 7.34303i | −0.232673 | − | 0.232673i | ||||
\(997\) | −1.01046 | + | 0.270753i | −0.0320017 | + | 0.00857484i | −0.274784 | − | 0.961506i | \(-0.588606\pi\) |
0.242783 | + | 0.970081i | \(0.421940\pi\) | |||||||
\(998\) | 7.65327 | − | 28.5624i | 0.242260 | − | 0.904126i | ||||
\(999\) | 7.63239 | + | 2.04509i | 0.241478 | + | 0.0647038i |
(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 | 390.2.bn.c.67.2 | yes | 32 | |
5.3 | odd | 4 | 390.2.bd.c.223.8 | yes | 32 | ||
13.7 | odd | 12 | 390.2.bd.c.7.8 | ✓ | 32 | ||
65.33 | even | 12 | inner | 390.2.bn.c.163.2 | yes | 32 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
390.2.bd.c.7.8 | ✓ | 32 | 13.7 | odd | 12 | ||
390.2.bd.c.223.8 | yes | 32 | 5.3 | odd | 4 | ||
390.2.bn.c.67.2 | yes | 32 | 1.1 | even | 1 | trivial | |
390.2.bn.c.163.2 | yes | 32 | 65.33 | even | 12 | inner |