Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [230,2,Mod(9,230)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(230, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([11, 10]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("230.9");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 230 = 2 \cdot 5 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 230.j (of order \(22\), degree \(10\), 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: | \(1.83655924649\) |
Analytic rank: | \(0\) |
Dimension: | \(120\) |
Relative dimension: | \(12\) over \(\Q(\zeta_{22})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{22}]$ |
Embedding invariants
Embedding label | 29.12 | ||
Character | \(\chi\) | \(=\) | 230.29 |
Dual form | 230.2.j.a.119.12 |
$q$-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 \(\left(\mathbb{Z}/230\mathbb{Z}\right)^\times\).
\(n\) | \(47\) | \(51\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{9}{11}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.909632 | + | 0.415415i | 0.643207 | + | 0.293743i | ||||
\(3\) | 0.768680 | − | 2.61788i | 0.443798 | − | 1.51144i | −0.369300 | − | 0.929310i | \(-0.620403\pi\) |
0.813098 | − | 0.582126i | \(-0.197779\pi\) | |||||||
\(4\) | 0.654861 | + | 0.755750i | 0.327430 | + | 0.377875i | ||||
\(5\) | −1.08039 | − | 1.95774i | −0.483164 | − | 0.875530i | ||||
\(6\) | 1.78672 | − | 2.06199i | 0.729427 | − | 0.841804i | ||||
\(7\) | −1.27046 | − | 0.182665i | −0.480190 | − | 0.0690410i | −0.102031 | − | 0.994781i | \(-0.532534\pi\) |
−0.378160 | + | 0.925740i | \(0.623443\pi\) | |||||||
\(8\) | 0.281733 | + | 0.959493i | 0.0996075 | + | 0.339232i | ||||
\(9\) | −3.73869 | − | 2.40271i | −1.24623 | − | 0.800904i | ||||
\(10\) | −0.169478 | − | 2.22964i | −0.0535936 | − | 0.705073i | ||||
\(11\) | 1.03946 | + | 2.27610i | 0.313408 | + | 0.686269i | 0.999135 | − | 0.0415907i | \(-0.0132426\pi\) |
−0.685726 | + | 0.727860i | \(0.740515\pi\) | |||||||
\(12\) | 2.48184 | − | 1.13342i | 0.716447 | − | 0.327190i | ||||
\(13\) | 1.02038 | − | 0.146709i | 0.283003 | − | 0.0406897i | 0.000648289 | − | 1.00000i | \(-0.499794\pi\) |
0.282355 | + | 0.959310i | \(0.408885\pi\) | |||||||
\(14\) | −1.07977 | − | 0.693928i | −0.288582 | − | 0.185460i | ||||
\(15\) | −5.95562 | + | 1.32345i | −1.53774 | + | 0.341713i | ||||
\(16\) | −0.142315 | + | 0.989821i | −0.0355787 | + | 0.247455i | ||||
\(17\) | 3.98282 | + | 3.45113i | 0.965975 | + | 0.837022i | 0.986665 | − | 0.162764i | \(-0.0520410\pi\) |
−0.0206904 | + | 0.999786i | \(0.506586\pi\) | |||||||
\(18\) | −2.40271 | − | 3.73869i | −0.566324 | − | 0.881218i | ||||
\(19\) | 0.540257 | + | 0.623490i | 0.123943 | + | 0.143038i | 0.814330 | − | 0.580403i | \(-0.197105\pi\) |
−0.690386 | + | 0.723441i | \(0.742559\pi\) | |||||||
\(20\) | 0.772062 | − | 2.09855i | 0.172638 | − | 0.469250i | ||||
\(21\) | −1.45478 | + | 3.18552i | −0.317459 | + | 0.695137i | ||||
\(22\) | 2.50222i | 0.533474i | ||||||||
\(23\) | 2.14681 | − | 4.28850i | 0.447640 | − | 0.894214i | ||||
\(24\) | 2.72840 | 0.556933 | ||||||||
\(25\) | −2.66553 | + | 4.23024i | −0.533106 | + | 0.846049i | ||||
\(26\) | 0.989116 | + | 0.290431i | 0.193982 | + | 0.0569582i | ||||
\(27\) | −2.97791 | + | 2.58037i | −0.573098 | + | 0.496592i | ||||
\(28\) | −0.693928 | − | 1.07977i | −0.131140 | − | 0.204058i | ||||
\(29\) | 1.11568 | − | 1.28757i | 0.207177 | − | 0.239095i | −0.642646 | − | 0.766163i | \(-0.722163\pi\) |
0.849823 | + | 0.527068i | \(0.176709\pi\) | |||||||
\(30\) | −5.96720 | − | 1.27020i | −1.08946 | − | 0.231907i | ||||
\(31\) | 7.72564 | − | 2.26845i | 1.38757 | − | 0.407426i | 0.499169 | − | 0.866504i | \(-0.333639\pi\) |
0.888396 | + | 0.459079i | \(0.151820\pi\) | |||||||
\(32\) | −0.540641 | + | 0.841254i | −0.0955727 | + | 0.148714i | ||||
\(33\) | 6.75757 | − | 0.971592i | 1.17634 | − | 0.169132i | ||||
\(34\) | 2.18925 | + | 4.79378i | 0.375452 | + | 0.822126i | ||||
\(35\) | 1.01498 | + | 2.68459i | 0.171563 | + | 0.453779i | ||||
\(36\) | −0.632474 | − | 4.39895i | −0.105412 | − | 0.733159i | ||||
\(37\) | −5.04755 | + | 7.85414i | −0.829812 | + | 1.29121i | 0.124446 | + | 0.992226i | \(0.460285\pi\) |
−0.954258 | + | 0.298986i | \(0.903352\pi\) | |||||||
\(38\) | 0.232428 | + | 0.791577i | 0.0377048 | + | 0.128411i | ||||
\(39\) | 0.400281 | − | 2.78401i | 0.0640962 | − | 0.445799i | ||||
\(40\) | 1.57406 | − | 1.58818i | 0.248881 | − | 0.251114i | ||||
\(41\) | −3.34958 | + | 2.15265i | −0.523117 | + | 0.336187i | −0.775404 | − | 0.631466i | \(-0.782454\pi\) |
0.252287 | + | 0.967652i | \(0.418817\pi\) | |||||||
\(42\) | −2.64662 | + | 2.29331i | −0.408383 | + | 0.353866i | ||||
\(43\) | −2.74268 | + | 9.34069i | −0.418254 | + | 1.42444i | 0.433810 | + | 0.901004i | \(0.357169\pi\) |
−0.852064 | + | 0.523438i | \(0.824649\pi\) | |||||||
\(44\) | −1.03946 | + | 2.27610i | −0.156704 | + | 0.343134i | ||||
\(45\) | −0.664663 | + | 9.91526i | −0.0990821 | + | 1.47808i | ||||
\(46\) | 3.73431 | − | 3.00914i | 0.550594 | − | 0.443673i | ||||
\(47\) | − | 10.1453i | − | 1.47984i | −0.672693 | − | 0.739922i | \(-0.734862\pi\) | ||
0.672693 | − | 0.739922i | \(-0.265138\pi\) | |||||||
\(48\) | 2.48184 | + | 1.13342i | 0.358223 | + | 0.163595i | ||||
\(49\) | −5.13574 | − | 1.50799i | −0.733677 | − | 0.215427i | ||||
\(50\) | −4.18196 | + | 2.74066i | −0.591418 | + | 0.387588i | ||||
\(51\) | 12.0962 | − | 7.77374i | 1.69380 | − | 1.08854i | ||||
\(52\) | 0.779083 | + | 0.675079i | 0.108039 | + | 0.0936166i | ||||
\(53\) | −3.94642 | − | 0.567409i | −0.542082 | − | 0.0779396i | −0.134166 | − | 0.990959i | \(-0.542835\pi\) |
−0.407916 | + | 0.913019i | \(0.633745\pi\) | |||||||
\(54\) | −3.78072 | + | 1.11012i | −0.514491 | + | 0.151068i | ||||
\(55\) | 3.33300 | − | 4.49406i | 0.449421 | − | 0.605979i | ||||
\(56\) | −0.182665 | − | 1.27046i | −0.0244097 | − | 0.169773i | ||||
\(57\) | 2.04751 | − | 0.935066i | 0.271199 | − | 0.123853i | ||||
\(58\) | 1.54974 | − | 0.707741i | 0.203490 | − | 0.0929310i | ||||
\(59\) | 1.11256 | + | 7.73803i | 0.144843 | + | 1.00741i | 0.924495 | + | 0.381193i | \(0.124487\pi\) |
−0.779652 | + | 0.626213i | \(0.784604\pi\) | |||||||
\(60\) | −4.90030 | − | 3.63428i | −0.632626 | − | 0.469184i | ||||
\(61\) | −3.40094 | + | 0.998606i | −0.435446 | + | 0.127858i | −0.492106 | − | 0.870535i | \(-0.663773\pi\) |
0.0566607 | + | 0.998393i | \(0.481955\pi\) | |||||||
\(62\) | 7.96983 | + | 1.14589i | 1.01217 | + | 0.145528i | ||||
\(63\) | 4.31098 | + | 3.73549i | 0.543133 | + | 0.470627i | ||||
\(64\) | −0.841254 | + | 0.540641i | −0.105157 | + | 0.0675801i | ||||
\(65\) | −1.38962 | − | 1.83914i | −0.172362 | − | 0.228118i | ||||
\(66\) | 6.55051 | + | 1.92340i | 0.806313 | + | 0.236755i | ||||
\(67\) | −13.0761 | − | 5.97166i | −1.59750 | − | 0.729555i | −0.599987 | − | 0.800010i | \(-0.704828\pi\) |
−0.997515 | + | 0.0704553i | \(0.977555\pi\) | |||||||
\(68\) | 5.27002i | 0.639084i | ||||||||
\(69\) | −9.57658 | − | 8.91658i | −1.15289 | − | 1.07343i | ||||
\(70\) | −0.191962 | + | 2.86363i | −0.0229438 | + | 0.342269i | ||||
\(71\) | 2.65819 | − | 5.82062i | 0.315469 | − | 0.690781i | −0.683773 | − | 0.729694i | \(-0.739662\pi\) |
0.999243 | + | 0.0389133i | \(0.0123896\pi\) | |||||||
\(72\) | 1.25207 | − | 4.26417i | 0.147558 | − | 0.502537i | ||||
\(73\) | −12.6363 | + | 10.9494i | −1.47896 | + | 1.28153i | −0.604343 | + | 0.796724i | \(0.706564\pi\) |
−0.874621 | + | 0.484806i | \(0.838890\pi\) | |||||||
\(74\) | −7.85414 | + | 5.04755i | −0.913025 | + | 0.586766i | ||||
\(75\) | 9.02535 | + | 10.2298i | 1.04216 | + | 1.18123i | ||||
\(76\) | −0.117409 | + | 0.816598i | −0.0134677 | + | 0.0936702i | ||||
\(77\) | −0.904831 | − | 3.08157i | −0.103115 | − | 0.351178i | ||||
\(78\) | 1.52063 | − | 2.36614i | 0.172177 | − | 0.267913i | ||||
\(79\) | 1.01786 | + | 7.07936i | 0.114518 | + | 0.796490i | 0.963431 | + | 0.267957i | \(0.0863486\pi\) |
−0.848913 | + | 0.528533i | \(0.822742\pi\) | |||||||
\(80\) | 2.09157 | − | 0.790774i | 0.233845 | − | 0.0884112i | ||||
\(81\) | −1.07250 | − | 2.34844i | −0.119166 | − | 0.260938i | ||||
\(82\) | −3.94113 | + | 0.566649i | −0.435225 | + | 0.0625759i | ||||
\(83\) | −2.41287 | + | 3.75450i | −0.264847 | + | 0.412110i | −0.948051 | − | 0.318117i | \(-0.896949\pi\) |
0.683204 | + | 0.730227i | \(0.260586\pi\) | |||||||
\(84\) | −3.36013 | + | 0.986624i | −0.366620 | + | 0.107649i | ||||
\(85\) | 2.45345 | − | 11.5259i | 0.266114 | − | 1.25016i | ||||
\(86\) | −6.37509 | + | 7.35725i | −0.687444 | + | 0.793352i | ||||
\(87\) | −2.51310 | − | 3.91046i | −0.269433 | − | 0.419245i | ||||
\(88\) | −1.89105 | + | 1.63860i | −0.201586 | + | 0.174676i | ||||
\(89\) | 6.62662 | + | 1.94575i | 0.702421 | + | 0.206249i | 0.613391 | − | 0.789780i | \(-0.289805\pi\) |
0.0890300 | + | 0.996029i | \(0.471623\pi\) | |||||||
\(90\) | −4.72355 | + | 8.74313i | −0.497905 | + | 0.921606i | ||||
\(91\) | −1.32316 | −0.138705 | ||||||||
\(92\) | 4.64689 | − | 1.18592i | 0.484472 | − | 0.123641i | ||||
\(93\) | − | 21.9685i | − | 2.27803i | ||||||
\(94\) | 4.21451 | − | 9.22849i | 0.434694 | − | 0.951846i | ||||
\(95\) | 0.636947 | − | 1.73130i | 0.0653494 | − | 0.177627i | ||||
\(96\) | 1.78672 | + | 2.06199i | 0.182357 | + | 0.210451i | ||||
\(97\) | −8.57591 | − | 13.3444i | −0.870752 | − | 1.35492i | −0.934132 | − | 0.356927i | \(-0.883825\pi\) |
0.0633809 | − | 0.997989i | \(-0.479812\pi\) | |||||||
\(98\) | −4.04519 | − | 3.50518i | −0.408626 | − | 0.354076i | ||||
\(99\) | 1.58259 | − | 11.0071i | 0.159056 | − | 1.10626i | ||||
\(100\) | −4.94255 | + | 0.755747i | −0.494255 | + | 0.0755747i | ||||
\(101\) | 10.5636 | + | 6.78883i | 1.05112 | + | 0.675514i | 0.947713 | − | 0.319125i | \(-0.103389\pi\) |
0.103407 | + | 0.994639i | \(0.467025\pi\) | |||||||
\(102\) | 14.2324 | − | 2.04631i | 1.40922 | − | 0.202615i | ||||
\(103\) | 5.37237 | − | 2.45348i | 0.529356 | − | 0.241749i | −0.132763 | − | 0.991148i | \(-0.542385\pi\) |
0.662118 | + | 0.749399i | \(0.269658\pi\) | |||||||
\(104\) | 0.428241 | + | 0.937716i | 0.0419924 | + | 0.0919506i | ||||
\(105\) | 7.80816 | − | 0.593509i | 0.761998 | − | 0.0579205i | ||||
\(106\) | −3.35408 | − | 2.15553i | −0.325777 | − | 0.209364i | ||||
\(107\) | −0.0366346 | − | 0.124766i | −0.00354160 | − | 0.0120616i | 0.957703 | − | 0.287758i | \(-0.0929098\pi\) |
−0.961245 | + | 0.275696i | \(0.911092\pi\) | |||||||
\(108\) | −3.90023 | − | 0.560768i | −0.375300 | − | 0.0539599i | ||||
\(109\) | −3.33469 | + | 3.84844i | −0.319405 | + | 0.368613i | −0.892634 | − | 0.450782i | \(-0.851145\pi\) |
0.573229 | + | 0.819395i | \(0.305691\pi\) | |||||||
\(110\) | 4.89870 | − | 2.70336i | 0.467073 | − | 0.257755i | ||||
\(111\) | 16.6813 | + | 19.2512i | 1.58332 | + | 1.82724i | ||||
\(112\) | 0.361612 | − | 1.23154i | 0.0341691 | − | 0.116369i | ||||
\(113\) | 13.7000 | + | 6.25659i | 1.28879 | + | 0.588571i | 0.937594 | − | 0.347731i | \(-0.113048\pi\) |
0.351196 | + | 0.936302i | \(0.385775\pi\) | |||||||
\(114\) | 2.25092 | 0.210818 | ||||||||
\(115\) | −10.7152 | + | 0.430333i | −0.999195 | + | 0.0401287i | ||||
\(116\) | 1.70370 | 0.158184 | ||||||||
\(117\) | −4.16739 | − | 1.90318i | −0.385275 | − | 0.175949i | ||||
\(118\) | −2.20247 | + | 7.50094i | −0.202754 | + | 0.690517i | ||||
\(119\) | −4.42962 | − | 5.11206i | −0.406063 | − | 0.468622i | ||||
\(120\) | −2.94773 | − | 5.34152i | −0.269090 | − | 0.487612i | ||||
\(121\) | 3.10333 | − | 3.58143i | 0.282121 | − | 0.325585i | ||||
\(122\) | −3.50844 | − | 0.504437i | −0.317639 | − | 0.0456696i | ||||
\(123\) | 3.06062 | + | 10.4235i | 0.275967 | + | 0.939857i | ||||
\(124\) | 6.77360 | + | 4.35313i | 0.608287 | + | 0.390922i | ||||
\(125\) | 11.1615 | + | 0.648128i | 0.998318 | + | 0.0579704i | ||||
\(126\) | 2.36963 | + | 5.18877i | 0.211103 | + | 0.462252i | ||||
\(127\) | 14.1820 | − | 6.47670i | 1.25845 | − | 0.574715i | 0.329232 | − | 0.944249i | \(-0.393210\pi\) |
0.929217 | + | 0.369534i | \(0.120483\pi\) | |||||||
\(128\) | −0.989821 | + | 0.142315i | −0.0874887 | + | 0.0125790i | ||||
\(129\) | 22.3446 | + | 14.3600i | 1.96733 | + | 1.26433i | ||||
\(130\) | −0.500039 | − | 2.25021i | −0.0438563 | − | 0.197357i | ||||
\(131\) | 1.62591 | − | 11.3084i | 0.142056 | − | 0.988023i | −0.786701 | − | 0.617334i | \(-0.788213\pi\) |
0.928757 | − | 0.370689i | \(-0.120878\pi\) | |||||||
\(132\) | 5.15955 | + | 4.47077i | 0.449081 | + | 0.389131i | ||||
\(133\) | −0.572487 | − | 0.890808i | −0.0496410 | − | 0.0772428i | ||||
\(134\) | −9.41374 | − | 10.8640i | −0.813223 | − | 0.938509i | ||||
\(135\) | 8.26900 | + | 3.04218i | 0.711682 | + | 0.261829i | ||||
\(136\) | −2.18925 | + | 4.79378i | −0.187726 | + | 0.411063i | ||||
\(137\) | − | 7.19734i | − | 0.614910i | −0.951563 | − | 0.307455i | \(-0.900523\pi\) | ||
0.951563 | − | 0.307455i | \(-0.0994774\pi\) | |||||||
\(138\) | −5.00709 | − | 12.0891i | −0.426231 | − | 1.02909i | ||||
\(139\) | 10.1060 | 0.857182 | 0.428591 | − | 0.903499i | \(-0.359010\pi\) | ||||
0.428591 | + | 0.903499i | \(0.359010\pi\) | |||||||
\(140\) | −1.36421 | + | 2.52511i | −0.115297 | + | 0.213411i | ||||
\(141\) | −26.5592 | − | 7.79849i | −2.23669 | − | 0.656752i | ||||
\(142\) | 4.83595 | − | 4.19037i | 0.405824 | − | 0.351648i | ||||
\(143\) | 1.39457 | + | 2.16999i | 0.116620 | + | 0.181464i | ||||
\(144\) | 2.91033 | − | 3.35869i | 0.242527 | − | 0.279891i | ||||
\(145\) | −3.72610 | − | 0.793153i | −0.309436 | − | 0.0658678i | ||||
\(146\) | −16.0429 | + | 4.71062i | −1.32772 | + | 0.389854i | ||||
\(147\) | −7.89548 | + | 12.2856i | −0.651208 | + | 1.01330i | ||||
\(148\) | −9.24120 | + | 1.32868i | −0.759622 | + | 0.109217i | ||||
\(149\) | −5.82013 | − | 12.7443i | −0.476804 | − | 1.04405i | −0.983330 | − | 0.181830i | \(-0.941798\pi\) |
0.506527 | − | 0.862224i | \(-0.330929\pi\) | |||||||
\(150\) | 3.96015 | + | 13.0546i | 0.323345 | + | 1.06590i | ||||
\(151\) | −1.82735 | − | 12.7095i | −0.148707 | − | 1.03428i | −0.918339 | − | 0.395795i | \(-0.870469\pi\) |
0.769632 | − | 0.638488i | \(-0.220440\pi\) | |||||||
\(152\) | −0.446026 | + | 0.694030i | −0.0361775 | + | 0.0562933i | ||||
\(153\) | −6.59845 | − | 22.4723i | −0.533453 | − | 1.81677i | ||||
\(154\) | 0.457068 | − | 3.17898i | 0.0368316 | − | 0.256169i | ||||
\(155\) | −12.7877 | − | 12.6740i | −1.02713 | − | 1.01800i | ||||
\(156\) | 2.36614 | − | 1.52063i | 0.189443 | − | 0.121748i | ||||
\(157\) | −9.49942 | + | 8.23130i | −0.758136 | + | 0.656929i | −0.945596 | − | 0.325343i | \(-0.894520\pi\) |
0.187460 | + | 0.982272i | \(0.439975\pi\) | |||||||
\(158\) | −2.01500 | + | 6.86245i | −0.160304 | + | 0.545947i | ||||
\(159\) | −4.51894 | + | 9.89511i | −0.358376 | + | 0.784733i | ||||
\(160\) | 2.23106 | + | 0.149558i | 0.176381 | + | 0.0118236i | ||||
\(161\) | −3.51080 | + | 5.05624i | −0.276690 | + | 0.398487i | ||||
\(162\) | − | 2.58174i | − | 0.202841i | ||||||
\(163\) | 8.89411 | + | 4.06181i | 0.696641 | + | 0.318145i | 0.732072 | − | 0.681227i | \(-0.238553\pi\) |
−0.0354316 | + | 0.999372i | \(0.511281\pi\) | |||||||
\(164\) | −3.82037 | − | 1.12176i | −0.298321 | − | 0.0875949i | ||||
\(165\) | −9.20292 | − | 12.1799i | −0.716446 | − | 0.948204i | ||||
\(166\) | −3.75450 | + | 2.41287i | −0.291406 | + | 0.187275i | ||||
\(167\) | 13.7420 | + | 11.9075i | 1.06339 | + | 0.921429i | 0.997080 | − | 0.0763704i | \(-0.0243331\pi\) |
0.0663062 | + | 0.997799i | \(0.478879\pi\) | |||||||
\(168\) | −3.46634 | − | 0.498385i | −0.267434 | − | 0.0384512i | ||||
\(169\) | −11.4538 | + | 3.36313i | −0.881058 | + | 0.258702i | ||||
\(170\) | 7.01976 | − | 9.46512i | 0.538391 | − | 0.725941i | ||||
\(171\) | −0.521788 | − | 3.62912i | −0.0399021 | − | 0.277525i | ||||
\(172\) | −8.85530 | + | 4.04408i | −0.675210 | + | 0.308358i | ||||
\(173\) | −4.26160 | + | 1.94621i | −0.324004 | + | 0.147968i | −0.570776 | − | 0.821106i | \(-0.693357\pi\) |
0.246772 | + | 0.969074i | \(0.420630\pi\) | |||||||
\(174\) | −0.661533 | − | 4.60106i | −0.0501507 | − | 0.348805i | ||||
\(175\) | 4.15918 | − | 4.88747i | 0.314404 | − | 0.369458i | ||||
\(176\) | −2.40086 | + | 0.704956i | −0.180972 | + | 0.0531380i | ||||
\(177\) | 21.1125 | + | 3.03552i | 1.58691 | + | 0.228163i | ||||
\(178\) | 5.21949 | + | 4.52272i | 0.391218 | + | 0.338992i | ||||
\(179\) | −7.44686 | + | 4.78581i | −0.556605 | + | 0.357708i | −0.788502 | − | 0.615032i | \(-0.789143\pi\) |
0.231897 | + | 0.972740i | \(0.425507\pi\) | |||||||
\(180\) | −7.92871 | + | 5.99079i | −0.590971 | + | 0.446527i | ||||
\(181\) | −19.9039 | − | 5.84430i | −1.47944 | − | 0.434404i | −0.560287 | − | 0.828298i | \(-0.689309\pi\) |
−0.919156 | + | 0.393895i | \(0.871128\pi\) | |||||||
\(182\) | −1.20359 | − | 0.549659i | −0.0892157 | − | 0.0407434i | ||||
\(183\) | 9.67087i | 0.714892i | ||||||||
\(184\) | 4.71961 | + | 0.851638i | 0.347934 | + | 0.0627836i | ||||
\(185\) | 20.8297 | + | 1.39630i | 1.53143 | + | 0.102658i | ||||
\(186\) | 9.12606 | − | 19.9833i | 0.669155 | − | 1.46525i | ||||
\(187\) | −3.71513 | + | 12.6526i | −0.271677 | + | 0.925248i | ||||
\(188\) | 7.66731 | − | 6.64376i | 0.559196 | − | 0.484546i | ||||
\(189\) | 4.25467 | − | 2.73431i | 0.309482 | − | 0.198892i | ||||
\(190\) | 1.29859 | − | 1.31024i | 0.0942099 | − | 0.0950551i | ||||
\(191\) | 2.32093 | − | 16.1424i | 0.167937 | − | 1.16803i | −0.715203 | − | 0.698917i | \(-0.753666\pi\) |
0.883140 | − | 0.469110i | \(-0.155425\pi\) | |||||||
\(192\) | 0.768680 | + | 2.61788i | 0.0554747 | + | 0.188930i | ||||
\(193\) | −5.16166 | + | 8.03169i | −0.371544 | + | 0.578134i | −0.975802 | − | 0.218655i | \(-0.929833\pi\) |
0.604258 | + | 0.796789i | \(0.293470\pi\) | |||||||
\(194\) | −2.25747 | − | 15.7010i | −0.162077 | − | 1.12727i | ||||
\(195\) | −5.88284 | + | 2.22416i | −0.421279 | + | 0.159276i | ||||
\(196\) | −2.22353 | − | 4.86885i | −0.158824 | − | 0.347775i | ||||
\(197\) | −5.03127 | + | 0.723387i | −0.358463 | + | 0.0515392i | −0.319194 | − | 0.947689i | \(-0.603412\pi\) |
−0.0392691 | + | 0.999229i | \(0.512503\pi\) | |||||||
\(198\) | 6.01210 | − | 9.35501i | 0.427261 | − | 0.664832i | ||||
\(199\) | −0.513963 | + | 0.150913i | −0.0364338 | + | 0.0106979i | −0.299899 | − | 0.953971i | \(-0.596953\pi\) |
0.263465 | + | 0.964669i | \(0.415135\pi\) | |||||||
\(200\) | −4.80985 | − | 1.36576i | −0.340108 | − | 0.0965738i | ||||
\(201\) | −25.6845 | + | 29.6415i | −1.81164 | + | 2.09075i | ||||
\(202\) | 6.78883 | + | 10.5636i | 0.477660 | + | 0.743254i | ||||
\(203\) | −1.65263 | + | 1.43201i | −0.115992 | + | 0.100508i | ||||
\(204\) | 13.7963 | + | 4.05096i | 0.965934 | + | 0.283624i | ||||
\(205\) | 7.83318 | + | 4.23194i | 0.547093 | + | 0.295571i | ||||
\(206\) | 5.90610 | 0.411497 | ||||||||
\(207\) | −18.3303 | + | 10.8752i | −1.27404 | + | 0.755879i | ||||
\(208\) | 1.03087i | 0.0714782i | ||||||||
\(209\) | −0.857548 | + | 1.87777i | −0.0593178 | + | 0.129888i | ||||
\(210\) | 7.34910 | + | 2.70375i | 0.507136 | + | 0.186577i | ||||
\(211\) | 3.43509 | + | 3.96431i | 0.236482 | + | 0.272914i | 0.861569 | − | 0.507640i | \(-0.169482\pi\) |
−0.625087 | + | 0.780555i | \(0.714937\pi\) | |||||||
\(212\) | −2.15553 | − | 3.35408i | −0.148043 | − | 0.230359i | ||||
\(213\) | −13.1944 | − | 11.4330i | −0.904067 | − | 0.783379i | ||||
\(214\) | 0.0185057 | − | 0.128710i | 0.00126502 | − | 0.00879842i | ||||
\(215\) | 21.2498 | − | 4.72210i | 1.44923 | − | 0.322045i | ||||
\(216\) | −3.31482 | − | 2.13031i | −0.225545 | − | 0.144949i | ||||
\(217\) | −10.2295 | + | 1.47078i | −0.694425 | + | 0.0998432i | ||||
\(218\) | −4.63204 | + | 2.11538i | −0.313721 | + | 0.143272i | ||||
\(219\) | 18.9510 | + | 41.4969i | 1.28059 | + | 2.80410i | ||||
\(220\) | 5.57903 | − | 0.424070i | 0.376138 | − | 0.0285908i | ||||
\(221\) | 4.57030 | + | 2.93715i | 0.307432 | + | 0.197574i | ||||
\(222\) | 7.17658 | + | 24.4412i | 0.481660 | + | 1.64038i | ||||
\(223\) | −5.24366 | − | 0.753925i | −0.351142 | − | 0.0504866i | −0.0355127 | − | 0.999369i | \(-0.511306\pi\) |
−0.315629 | + | 0.948883i | \(0.602216\pi\) | |||||||
\(224\) | 0.840533 | − | 0.970027i | 0.0561605 | − | 0.0648126i | ||||
\(225\) | 20.1296 | − | 9.41107i | 1.34198 | − | 0.627405i | ||||
\(226\) | 9.86290 | + | 11.3824i | 0.656070 | + | 0.757146i | ||||
\(227\) | 1.89321 | − | 6.44767i | 0.125657 | − | 0.427947i | −0.872502 | − | 0.488611i | \(-0.837504\pi\) |
0.998158 | + | 0.0606642i | \(0.0193219\pi\) | |||||||
\(228\) | 2.04751 | + | 0.935066i | 0.135600 | + | 0.0619263i | ||||
\(229\) | 11.2865 | 0.745830 | 0.372915 | − | 0.927866i | \(-0.378358\pi\) | ||||
0.372915 | + | 0.927866i | \(0.378358\pi\) | |||||||
\(230\) | −9.92563 | − | 4.05980i | −0.654476 | − | 0.267695i | ||||
\(231\) | −8.76273 | −0.576545 | ||||||||
\(232\) | 1.54974 | + | 0.707741i | 0.101745 | + | 0.0464655i | ||||
\(233\) | −1.25006 | + | 4.25733i | −0.0818945 | + | 0.278907i | −0.990252 | − | 0.139288i | \(-0.955519\pi\) |
0.908358 | + | 0.418194i | \(0.137337\pi\) | |||||||
\(234\) | −3.00018 | − | 3.46239i | −0.196128 | − | 0.226344i | ||||
\(235\) | −19.8619 | + | 10.9608i | −1.29565 | + | 0.715007i | ||||
\(236\) | −5.11944 | + | 5.90815i | −0.333247 | + | 0.384588i | ||||
\(237\) | 19.3154 | + | 2.77713i | 1.25467 | + | 0.180394i | ||||
\(238\) | −1.90570 | − | 6.49023i | −0.123528 | − | 0.420699i | ||||
\(239\) | −15.2662 | − | 9.81100i | −0.987489 | − | 0.634621i | −0.0560155 | − | 0.998430i | \(-0.517840\pi\) |
−0.931473 | + | 0.363809i | \(0.881476\pi\) | |||||||
\(240\) | −0.462404 | − | 6.08335i | −0.0298480 | − | 0.392678i | ||||
\(241\) | 7.55301 | + | 16.5388i | 0.486532 | + | 1.06536i | 0.980616 | + | 0.195942i | \(0.0627764\pi\) |
−0.494084 | + | 0.869414i | \(0.664496\pi\) | |||||||
\(242\) | 4.31067 | − | 1.96862i | 0.277100 | − | 0.126547i | ||||
\(243\) | −18.6730 | + | 2.68478i | −1.19788 | + | 0.172228i | ||||
\(244\) | −2.98184 | − | 1.91631i | −0.190893 | − | 0.122679i | ||||
\(245\) | 2.59633 | + | 11.6837i | 0.165873 | + | 0.746442i | ||||
\(246\) | −1.54605 | + | 10.7530i | −0.0985724 | + | 0.685586i | ||||
\(247\) | 0.642739 | + | 0.556937i | 0.0408965 | + | 0.0354370i | ||||
\(248\) | 4.35313 | + | 6.77360i | 0.276424 | + | 0.430124i | ||||
\(249\) | 7.97412 | + | 9.20263i | 0.505339 | + | 0.583193i | ||||
\(250\) | 9.88365 | + | 5.22623i | 0.625097 | + | 0.330536i | ||||
\(251\) | 3.33161 | − | 7.29521i | 0.210289 | − | 0.460470i | −0.774868 | − | 0.632123i | \(-0.782184\pi\) |
0.985157 | + | 0.171654i | \(0.0549110\pi\) | |||||||
\(252\) | 5.70425i | 0.359334i | ||||||||
\(253\) | 11.9926 | + | 0.428628i | 0.753965 | + | 0.0269476i | ||||
\(254\) | 15.5909 | 0.978262 | ||||||||
\(255\) | −28.2875 | − | 15.2826i | −1.77143 | − | 0.957032i | ||||
\(256\) | −0.959493 | − | 0.281733i | −0.0599683 | − | 0.0176083i | ||||
\(257\) | −5.88681 | + | 5.10095i | −0.367209 | + | 0.318189i | −0.818846 | − | 0.574013i | \(-0.805386\pi\) |
0.451637 | + | 0.892202i | \(0.350840\pi\) | |||||||
\(258\) | 14.3600 | + | 22.3446i | 0.894015 | + | 1.39112i | ||||
\(259\) | 7.84741 | − | 9.05639i | 0.487614 | − | 0.562737i | ||||
\(260\) | 0.479922 | − | 2.25459i | 0.0297635 | − | 0.139824i | ||||
\(261\) | −7.26485 | + | 2.13315i | −0.449683 | + | 0.132039i | ||||
\(262\) | 6.17668 | − | 9.61110i | 0.381596 | − | 0.593775i | ||||
\(263\) | −8.47255 | + | 1.21817i | −0.522440 | + | 0.0751155i | −0.398490 | − | 0.917173i | \(-0.630465\pi\) |
−0.123950 | + | 0.992288i | \(0.539556\pi\) | |||||||
\(264\) | 2.83606 | + | 6.21011i | 0.174548 | + | 0.382206i | ||||
\(265\) | 3.15281 | + | 8.33910i | 0.193676 | + | 0.512267i | ||||
\(266\) | −0.150698 | − | 1.04813i | −0.00923988 | − | 0.0642648i | ||||
\(267\) | 10.1875 | − | 15.8521i | 0.623466 | − | 0.970131i | ||||
\(268\) | −4.04995 | − | 13.7929i | −0.247390 | − | 0.842534i | ||||
\(269\) | 1.74040 | − | 12.1047i | 0.106114 | − | 0.738039i | −0.865404 | − | 0.501074i | \(-0.832938\pi\) |
0.971518 | − | 0.236965i | \(-0.0761526\pi\) | |||||||
\(270\) | 6.25798 | + | 6.20233i | 0.380848 | + | 0.377462i | ||||
\(271\) | −25.9284 | + | 16.6632i | −1.57504 | + | 1.01222i | −0.597394 | + | 0.801948i | \(0.703797\pi\) |
−0.977644 | + | 0.210267i | \(0.932567\pi\) | |||||||
\(272\) | −3.98282 | + | 3.45113i | −0.241494 | + | 0.209255i | ||||
\(273\) | −1.01708 | + | 3.46387i | −0.0615568 | + | 0.209643i | ||||
\(274\) | 2.98988 | − | 6.54693i | 0.180625 | − | 0.395515i | ||||
\(275\) | −12.3991 | − | 1.66984i | −0.747697 | − | 0.100695i | ||||
\(276\) | 0.467374 | − | 13.0766i | 0.0281326 | − | 0.787120i | ||||
\(277\) | 17.6756i | 1.06202i | 0.847365 | + | 0.531011i | \(0.178188\pi\) | ||||
−0.847365 | + | 0.531011i | \(0.821812\pi\) | |||||||
\(278\) | 9.19276 | + | 4.19819i | 0.551345 | + | 0.251791i | ||||
\(279\) | −34.3342 | − | 10.0814i | −2.05553 | − | 0.603559i | ||||
\(280\) | −2.28990 | + | 1.73020i | −0.136847 | + | 0.103400i | ||||
\(281\) | 20.7971 | − | 13.3655i | 1.24065 | − | 0.797316i | 0.255133 | − | 0.966906i | \(-0.417881\pi\) |
0.985515 | + | 0.169590i | \(0.0542442\pi\) | |||||||
\(282\) | −20.9195 | − | 18.1269i | −1.24574 | − | 1.07944i | ||||
\(283\) | 28.1706 | + | 4.05032i | 1.67457 | + | 0.240767i | 0.913188 | − | 0.407538i | \(-0.133613\pi\) |
0.761381 | + | 0.648305i | \(0.224522\pi\) | |||||||
\(284\) | 6.13968 | − | 1.80277i | 0.364323 | − | 0.106975i | ||||
\(285\) | −4.04272 | − | 2.99827i | −0.239470 | − | 0.177602i | ||||
\(286\) | 0.367097 | + | 2.55321i | 0.0217069 | + | 0.150975i | ||||
\(287\) | 4.64874 | − | 2.12301i | 0.274406 | − | 0.125317i | ||||
\(288\) | 4.04258 | − | 1.84618i | 0.238211 | − | 0.108787i | ||||
\(289\) | 1.53317 | + | 10.6635i | 0.0901866 | + | 0.627262i | ||||
\(290\) | −3.05989 | − | 2.26936i | −0.179683 | − | 0.133261i | ||||
\(291\) | −41.5262 | + | 12.1932i | −2.43431 | + | 0.714777i | ||||
\(292\) | −16.5500 | − | 2.37953i | −0.968516 | − | 0.139252i | ||||
\(293\) | −16.9987 | − | 14.7294i | −0.993073 | − | 0.860502i | −0.00284964 | − | 0.999996i | \(-0.500907\pi\) |
−0.990223 | + | 0.139494i | \(0.955453\pi\) | |||||||
\(294\) | −12.2856 | + | 7.89548i | −0.716511 | + | 0.460474i | ||||
\(295\) | 13.9471 | − | 10.5382i | 0.812031 | − | 0.613556i | ||||
\(296\) | −8.95805 | − | 2.63032i | −0.520676 | − | 0.152884i | ||||
\(297\) | −8.96858 | − | 4.09581i | −0.520410 | − | 0.237663i | ||||
\(298\) | − | 14.0104i | − | 0.811600i | ||||||
\(299\) | 1.56140 | − | 4.69086i | 0.0902983 | − | 0.271279i | ||||
\(300\) | −1.82079 | + | 13.5200i | −0.105123 | + | 0.780576i | ||||
\(301\) | 5.19069 | − | 11.3660i | 0.299186 | − | 0.655127i | ||||
\(302\) | 3.61749 | − | 12.3201i | 0.208163 | − | 0.708940i | ||||
\(303\) | 25.8924 | − | 22.4359i | 1.48748 | − | 1.28891i | ||||
\(304\) | −0.694030 | + | 0.446026i | −0.0398054 | + | 0.0255814i | ||||
\(305\) | 5.62934 | + | 5.57929i | 0.322335 | + | 0.319469i | ||||
\(306\) | 3.33315 | − | 23.1826i | 0.190544 | − | 1.32526i | ||||
\(307\) | −8.44127 | − | 28.7483i | −0.481769 | − | 1.64075i | −0.738487 | − | 0.674267i | \(-0.764460\pi\) |
0.256719 | − | 0.966486i | \(-0.417359\pi\) | |||||||
\(308\) | 1.73636 | − | 2.70183i | 0.0989382 | − | 0.153951i | ||||
\(309\) | −2.29329 | − | 15.9502i | −0.130461 | − | 0.907375i | ||||
\(310\) | −6.36714 | − | 16.8409i | −0.361629 | − | 0.956499i | ||||
\(311\) | 2.66200 | + | 5.82897i | 0.150948 | + | 0.330531i | 0.969967 | − | 0.243236i | \(-0.0782089\pi\) |
−0.819019 | + | 0.573767i | \(0.805482\pi\) | |||||||
\(312\) | 2.78401 | − | 0.400281i | 0.157614 | − | 0.0226614i | ||||
\(313\) | 1.17207 | − | 1.82377i | 0.0662491 | − | 0.103086i | −0.806548 | − | 0.591168i | \(-0.798667\pi\) |
0.872798 | + | 0.488082i | \(0.162303\pi\) | |||||||
\(314\) | −12.0604 | + | 3.54125i | −0.680607 | + | 0.199844i | ||||
\(315\) | 2.65560 | − | 12.4756i | 0.149626 | − | 0.702919i | ||||
\(316\) | −4.68367 | + | 5.40524i | −0.263477 | + | 0.304069i | ||||
\(317\) | 4.76371 | + | 7.41248i | 0.267557 | + | 0.416326i | 0.948871 | − | 0.315665i | \(-0.102228\pi\) |
−0.681314 | + | 0.731991i | \(0.738591\pi\) | |||||||
\(318\) | −8.22115 | + | 7.12367i | −0.461019 | + | 0.399476i | ||||
\(319\) | 4.09034 | + | 1.20103i | 0.229015 | + | 0.0672448i | ||||
\(320\) | 1.96732 | + | 1.06286i | 0.109976 | + | 0.0594156i | ||||
\(321\) | −0.354784 | −0.0198021 | ||||||||
\(322\) | −5.29398 | + | 3.14087i | −0.295022 | + | 0.175034i | ||||
\(323\) | 4.34774i | 0.241915i | ||||||||
\(324\) | 1.07250 | − | 2.34844i | 0.0595831 | − | 0.130469i | ||||
\(325\) | −2.09924 | + | 4.70752i | −0.116445 | + | 0.261126i | ||||
\(326\) | 6.40304 | + | 7.38950i | 0.354631 | + | 0.409266i | ||||
\(327\) | 7.51145 | + | 11.6880i | 0.415384 | + | 0.646351i | ||||
\(328\) | −3.00914 | − | 2.60743i | −0.166152 | − | 0.143971i | ||||
\(329\) | −1.85319 | + | 12.8892i | −0.102170 | + | 0.710607i | ||||
\(330\) | −3.31155 | − | 14.9023i | −0.182295 | − | 0.820342i | ||||
\(331\) | −0.696634 | − | 0.447699i | −0.0382905 | − | 0.0246078i | 0.521356 | − | 0.853340i | \(-0.325427\pi\) |
−0.559646 | + | 0.828732i | \(0.689063\pi\) | |||||||
\(332\) | −4.41756 | + | 0.635149i | −0.242445 | + | 0.0348583i | ||||
\(333\) | 37.7424 | − | 17.2364i | 2.06827 | − | 0.944549i | ||||
\(334\) | 7.55359 | + | 16.5401i | 0.413314 | + | 0.905031i | ||||
\(335\) | 2.43627 | + | 32.0514i | 0.133108 | + | 1.75116i | ||||
\(336\) | −2.94606 | − | 1.89332i | −0.160721 | − | 0.103289i | ||||
\(337\) | −2.40619 | − | 8.19473i | −0.131074 | − | 0.446395i | 0.867635 | − | 0.497202i | \(-0.165639\pi\) |
−0.998709 | + | 0.0508063i | \(0.983821\pi\) | |||||||
\(338\) | −11.8158 | − | 1.69885i | −0.642694 | − | 0.0924055i | ||||
\(339\) | 26.9100 | − | 31.0558i | 1.46155 | − | 1.68672i | ||||
\(340\) | 10.3174 | − | 5.69366i | 0.559537 | − | 0.308782i | ||||
\(341\) | 13.1937 | + | 15.2263i | 0.714478 | + | 0.824552i | ||||
\(342\) | 1.03295 | − | 3.51792i | 0.0558558 | − | 0.190227i | ||||
\(343\) | 14.4221 | + | 6.58635i | 0.778720 | + | 0.355629i | ||||
\(344\) | −9.73503 | −0.524878 | ||||||||
\(345\) | −7.10998 | + | 28.3819i | −0.382788 | + | 1.52803i | ||||
\(346\) | −4.68498 | −0.251866 | ||||||||
\(347\) | −3.39729 | − | 1.55149i | −0.182376 | − | 0.0832885i | 0.322134 | − | 0.946694i | \(-0.395600\pi\) |
−0.504511 | + | 0.863406i | \(0.668327\pi\) | |||||||
\(348\) | 1.30960 | − | 4.46008i | 0.0702018 | − | 0.239085i | ||||
\(349\) | −3.56479 | − | 4.11399i | −0.190819 | − | 0.220217i | 0.652276 | − | 0.757981i | \(-0.273814\pi\) |
−0.843095 | + | 0.537765i | \(0.819269\pi\) | |||||||
\(350\) | 5.81365 | − | 2.71802i | 0.310753 | − | 0.145284i | ||||
\(351\) | −2.66004 | + | 3.06985i | −0.141982 | + | 0.163856i | ||||
\(352\) | −2.47675 | − | 0.356103i | −0.132011 | − | 0.0189803i | ||||
\(353\) | 5.00056 | + | 17.0304i | 0.266153 | + | 0.906434i | 0.978784 | + | 0.204895i | \(0.0656853\pi\) |
−0.712631 | + | 0.701539i | \(0.752496\pi\) | |||||||
\(354\) | 17.9436 | + | 11.5316i | 0.953691 | + | 0.612900i | ||||
\(355\) | −14.2672 | + | 1.08447i | −0.757223 | + | 0.0575575i | ||||
\(356\) | 2.86901 | + | 6.28227i | 0.152057 | + | 0.332959i | ||||
\(357\) | −16.7877 | + | 7.66671i | −0.888502 | + | 0.405765i | ||||
\(358\) | −8.76200 | + | 1.25979i | −0.463086 | + | 0.0665817i | ||||
\(359\) | −14.6196 | − | 9.39543i | −0.771592 | − | 0.495872i | 0.0946415 | − | 0.995511i | \(-0.469830\pi\) |
−0.866234 | + | 0.499639i | \(0.833466\pi\) | |||||||
\(360\) | −9.70088 | + | 2.15571i | −0.511281 | + | 0.113616i | ||||
\(361\) | 2.60712 | − | 18.1329i | 0.137217 | − | 0.954364i | ||||
\(362\) | −15.6774 | − | 13.5845i | −0.823985 | − | 0.713987i | ||||
\(363\) | −6.99031 | − | 10.8771i | −0.366896 | − | 0.570901i | ||||
\(364\) | −0.866483 | − | 0.999975i | −0.0454161 | − | 0.0524129i | ||||
\(365\) | 35.0882 | + | 12.9090i | 1.83660 | + | 0.675689i | ||||
\(366\) | −4.01743 | + | 8.79694i | −0.209994 | + | 0.459823i | ||||
\(367\) | − | 26.4546i | − | 1.38092i | −0.723372 | − | 0.690458i | \(-0.757409\pi\) | ||
0.723372 | − | 0.690458i | \(-0.242591\pi\) | |||||||
\(368\) | 3.93932 | + | 2.73527i | 0.205351 | + | 0.142586i | ||||
\(369\) | 17.6952 | 0.921177 | ||||||||
\(370\) | 18.3673 | + | 9.92309i | 0.954871 | + | 0.515877i | ||||
\(371\) | 4.91014 | + | 1.44175i | 0.254922 | + | 0.0748517i | ||||
\(372\) | 16.6027 | − | 14.3863i | 0.860811 | − | 0.745897i | ||||
\(373\) | 6.35988 | + | 9.89617i | 0.329302 | + | 0.512404i | 0.965943 | − | 0.258757i | \(-0.0833128\pi\) |
−0.636640 | + | 0.771161i | \(0.719676\pi\) | |||||||
\(374\) | −8.63547 | + | 9.96587i | −0.446530 | + | 0.515323i | ||||
\(375\) | 10.2764 | − | 28.7214i | 0.530670 | − | 1.48317i | ||||
\(376\) | 9.73435 | − | 2.85826i | 0.502011 | − | 0.147404i | ||||
\(377\) | 0.949526 | − | 1.47749i | 0.0489031 | − | 0.0760947i | ||||
\(378\) | 5.00606 | − | 0.719762i | 0.257484 | − | 0.0370206i | ||||
\(379\) | −0.218894 | − | 0.479311i | −0.0112438 | − | 0.0246205i | 0.903927 | − | 0.427687i | \(-0.140672\pi\) |
−0.915171 | + | 0.403067i | \(0.867944\pi\) | |||||||
\(380\) | 1.72554 | − | 0.652385i | 0.0885182 | − | 0.0334666i | ||||
\(381\) | −6.05384 | − | 42.1054i | −0.310148 | − | 2.15712i | ||||
\(382\) | 8.81701 | − | 13.7195i | 0.451118 | − | 0.701953i | ||||
\(383\) | 0.866849 | + | 2.95222i | 0.0442939 | + | 0.150851i | 0.978671 | − | 0.205435i | \(-0.0658610\pi\) |
−0.934377 | + | 0.356286i | \(0.884043\pi\) | |||||||
\(384\) | −0.388292 | + | 2.70063i | −0.0198150 | + | 0.137816i | ||||
\(385\) | −5.05536 | + | 5.10072i | −0.257645 | + | 0.259957i | ||||
\(386\) | −8.03169 | + | 5.16166i | −0.408802 | + | 0.262721i | ||||
\(387\) | 32.6970 | − | 28.3321i | 1.66208 | − | 1.44020i | ||||
\(388\) | 4.46898 | − | 15.2199i | 0.226878 | − | 0.772676i | ||||
\(389\) | −8.17077 | + | 17.8915i | −0.414275 | + | 0.907135i | 0.581347 | + | 0.813656i | \(0.302526\pi\) |
−0.995621 | + | 0.0934789i | \(0.970201\pi\) | |||||||
\(390\) | −6.27517 | − | 0.420652i | −0.317756 | − | 0.0213005i | ||||
\(391\) | 23.3505 | − | 9.67138i | 1.18089 | − | 0.489103i | ||||
\(392\) | − | 5.35255i | − | 0.270345i | ||||||
\(393\) | −28.3544 | − | 12.9490i | −1.43029 | − | 0.653192i | ||||
\(394\) | −4.87711 | − | 1.43205i | −0.245705 | − | 0.0721455i | ||||
\(395\) | 12.7599 | − | 9.64115i | 0.642020 | − | 0.485099i | ||||
\(396\) | 9.35501 | − | 6.01210i | 0.470107 | − | 0.302119i | ||||
\(397\) | 20.5192 | + | 17.7800i | 1.02983 | + | 0.892350i | 0.994257 | − | 0.107017i | \(-0.0341299\pi\) |
0.0355698 | + | 0.999367i | \(0.488675\pi\) | |||||||
\(398\) | −0.530208 | − | 0.0762325i | −0.0265769 | − | 0.00382119i | ||||
\(399\) | −2.77209 | + | 0.813960i | −0.138778 | + | 0.0407490i | ||||
\(400\) | −3.80784 | − | 3.24042i | −0.190392 | − | 0.162021i | ||||
\(401\) | 2.38450 | + | 16.5846i | 0.119076 | + | 0.828195i | 0.958577 | + | 0.284835i | \(0.0919389\pi\) |
−0.839500 | + | 0.543360i | \(0.817152\pi\) | |||||||
\(402\) | −35.6769 | + | 16.2931i | −1.77940 | + | 0.812626i | ||||
\(403\) | 7.55029 | − | 3.44810i | 0.376107 | − | 0.171762i | ||||
\(404\) | 1.78705 | + | 12.4292i | 0.0889090 | + | 0.618375i | ||||
\(405\) | −3.43893 | + | 4.63689i | −0.170882 | + | 0.230409i | ||||
\(406\) | −2.09817 | + | 0.616077i | −0.104130 | + | 0.0305754i | ||||
\(407\) | −23.1235 | − | 3.32466i | −1.14619 | − | 0.164797i | ||||
\(408\) | 10.8667 | + | 9.41608i | 0.537983 | + | 0.466165i | ||||
\(409\) | 17.1243 | − | 11.0051i | 0.846744 | − | 0.544170i | −0.0438134 | − | 0.999040i | \(-0.513951\pi\) |
0.890558 | + | 0.454870i | \(0.150314\pi\) | |||||||
\(410\) | 5.36730 | + | 7.10352i | 0.265072 | + | 0.350818i | ||||
\(411\) | −18.8418 | − | 5.53245i | −0.929398 | − | 0.272896i | ||||
\(412\) | 5.37237 | + | 2.45348i | 0.264678 | + | 0.120874i | ||||
\(413\) | − | 10.0341i | − | 0.493747i | ||||||
\(414\) | −21.1915 | + | 2.27777i | −1.04151 | + | 0.111946i | ||||
\(415\) | 9.95719 | + | 0.667473i | 0.488779 | + | 0.0327650i | ||||
\(416\) | −0.428241 | + | 0.937716i | −0.0209962 | + | 0.0459753i | ||||
\(417\) | 7.76830 | − | 26.4564i | 0.380415 | − | 1.29558i | ||||
\(418\) | −1.56011 | + | 1.35184i | −0.0763073 | + | 0.0661207i | ||||
\(419\) | 15.4046 | − | 9.89992i | 0.752562 | − | 0.483642i | −0.107263 | − | 0.994231i | \(-0.534209\pi\) |
0.859825 | + | 0.510588i | \(0.170572\pi\) | |||||||
\(420\) | 5.56180 | + | 5.51234i | 0.271388 | + | 0.268975i | ||||
\(421\) | −1.11885 | + | 7.78178i | −0.0545295 | + | 0.379261i | 0.944222 | + | 0.329309i | \(0.106816\pi\) |
−0.998752 | + | 0.0499517i | \(0.984093\pi\) | |||||||
\(422\) | 1.47784 | + | 5.03305i | 0.0719400 | + | 0.245005i | ||||
\(423\) | −24.3762 | + | 37.9301i | −1.18521 | + | 1.84423i | ||||
\(424\) | −0.567409 | − | 3.94642i | −0.0275558 | − | 0.191655i | ||||
\(425\) | −25.2154 | + | 7.64919i | −1.22313 | + | 0.371040i | ||||
\(426\) | −7.25262 | − | 15.8810i | −0.351390 | − | 0.769438i | ||||
\(427\) | 4.50318 | − | 0.647460i | 0.217924 | − | 0.0313328i | ||||
\(428\) | 0.0703014 | − | 0.109391i | 0.00339814 | − | 0.00528762i | ||||
\(429\) | 6.75275 | − | 1.98279i | 0.326026 | − | 0.0957299i | ||||
\(430\) | 21.2912 | + | 4.53213i | 1.02675 | + | 0.218559i | ||||
\(431\) | −14.5740 | + | 16.8193i | −0.702006 | + | 0.810158i | −0.989022 | − | 0.147768i | \(-0.952791\pi\) |
0.287016 | + | 0.957926i | \(0.407337\pi\) | |||||||
\(432\) | −2.13031 | − | 3.31482i | −0.102494 | − | 0.159484i | ||||
\(433\) | 18.8350 | − | 16.3206i | 0.905152 | − | 0.784319i | −0.0718794 | − | 0.997413i | \(-0.522900\pi\) |
0.977032 | + | 0.213095i | \(0.0683542\pi\) | |||||||
\(434\) | −9.91608 | − | 2.91162i | −0.475987 | − | 0.139762i | ||||
\(435\) | −4.94056 | + | 9.14482i | −0.236882 | + | 0.438461i | ||||
\(436\) | −5.09221 | −0.243873 | ||||||||
\(437\) | 3.83366 | − | 0.978378i | 0.183389 | − | 0.0468022i | ||||
\(438\) | 45.6195i | 2.17978i | ||||||||
\(439\) | −0.884648 | + | 1.93711i | −0.0422219 | + | 0.0924531i | −0.929568 | − | 0.368652i | \(-0.879820\pi\) |
0.887346 | + | 0.461105i | \(0.152547\pi\) | |||||||
\(440\) | 5.25103 | + | 1.93187i | 0.250333 | + | 0.0920981i | ||||
\(441\) | 15.5777 | + | 17.9776i | 0.741794 | + | 0.856076i | ||||
\(442\) | 2.93715 | + | 4.57030i | 0.139706 | + | 0.217387i | ||||
\(443\) | −9.52095 | − | 8.24995i | −0.452354 | − | 0.391967i | 0.398669 | − | 0.917095i | \(-0.369472\pi\) |
−0.851023 | + | 0.525128i | \(0.824018\pi\) | |||||||
\(444\) | −3.62519 | + | 25.2137i | −0.172044 | + | 1.19659i | ||||
\(445\) | −3.35003 | − | 15.0754i | −0.158807 | − | 0.714643i | ||||
\(446\) | −4.45661 | − | 2.86409i | −0.211027 | − | 0.135619i | ||||
\(447\) | −37.8369 | + | 5.44013i | −1.78963 | + | 0.257309i | ||||
\(448\) | 1.16754 | − | 0.533197i | 0.0551610 | − | 0.0251912i | ||||
\(449\) | −6.38566 | − | 13.9826i | −0.301358 | − | 0.659882i | 0.697006 | − | 0.717066i | \(-0.254515\pi\) |
−0.998364 | + | 0.0571837i | \(0.981788\pi\) | |||||||
\(450\) | 22.2201 | − | 0.198459i | 1.04746 | − | 0.00935547i | ||||
\(451\) | −8.38138 | − | 5.38639i | −0.394664 | − | 0.253635i | ||||
\(452\) | 4.24319 | + | 14.4510i | 0.199583 | + | 0.679717i | ||||
\(453\) | −34.6766 | − | 4.98574i | −1.62925 | − | 0.234251i | ||||
\(454\) | 4.40058 | − | 5.07854i | 0.206530 | − | 0.238348i | ||||
\(455\) | 1.42952 | + | 2.59040i | 0.0670170 | + | 0.121440i | ||||
\(456\) | 1.47404 | + | 1.70113i | 0.0690282 | + | 0.0796628i | ||||
\(457\) | 0.512479 | − | 1.74534i | 0.0239728 | − | 0.0816438i | −0.946638 | − | 0.322299i | \(-0.895544\pi\) |
0.970611 | + | 0.240656i | \(0.0773624\pi\) | |||||||
\(458\) | 10.2665 | + | 4.68856i | 0.479723 | + | 0.219082i | ||||
\(459\) | −20.7656 | −0.969257 | ||||||||
\(460\) | −7.34217 | − | 7.81618i | −0.342330 | − | 0.364431i | ||||
\(461\) | 6.04815 | 0.281690 | 0.140845 | − | 0.990032i | \(-0.455018\pi\) | ||||
0.140845 | + | 0.990032i | \(0.455018\pi\) | |||||||
\(462\) | −7.97086 | − | 3.64017i | −0.370838 | − | 0.169356i | ||||
\(463\) | −9.21629 | + | 31.3878i | −0.428317 | + | 1.45871i | 0.409271 | + | 0.912413i | \(0.365783\pi\) |
−0.837589 | + | 0.546302i | \(0.816035\pi\) | |||||||
\(464\) | 1.11568 | + | 1.28757i | 0.0517943 | + | 0.0597739i | ||||
\(465\) | −43.0088 | + | 23.7345i | −1.99448 | + | 1.10066i | ||||
\(466\) | −2.90566 | + | 3.35331i | −0.134602 | + | 0.155339i | ||||
\(467\) | 30.0199 | + | 4.31621i | 1.38915 | + | 0.199730i | 0.795970 | − | 0.605336i | \(-0.206961\pi\) |
0.593184 | + | 0.805067i | \(0.297870\pi\) | |||||||
\(468\) | −1.29073 | − | 4.39582i | −0.0596640 | − | 0.203197i | ||||
\(469\) | 15.5219 | + | 9.97534i | 0.716736 | + | 0.460618i | ||||
\(470\) | −22.6203 | + | 1.71940i | −1.04340 | + | 0.0793101i | ||||
\(471\) | 14.2466 | + | 31.1956i | 0.656447 | + | 1.43742i | ||||
\(472\) | −7.11114 | + | 3.24755i | −0.327317 | + | 0.149481i | ||||
\(473\) | −24.1112 | + | 3.46667i | −1.10863 | + | 0.159398i | ||||
\(474\) | 16.4162 | + | 10.5501i | 0.754021 | + | 0.484580i | ||||
\(475\) | −4.07758 | + | 0.623488i | −0.187092 | + | 0.0286076i | ||||
\(476\) | 0.962649 | − | 6.69537i | 0.0441230 | − | 0.306882i | ||||
\(477\) | 13.3911 | + | 11.6035i | 0.613137 | + | 0.531286i | ||||
\(478\) | −9.81100 | − | 15.2662i | −0.448745 | − | 0.698260i | ||||
\(479\) | −25.7751 | − | 29.7461i | −1.17769 | − | 1.35913i | −0.919525 | − | 0.393033i | \(-0.871426\pi\) |
−0.258170 | − | 0.966099i | \(-0.583119\pi\) | |||||||
\(480\) | 2.10650 | − | 5.72570i | 0.0961480 | − | 0.261341i | ||||
\(481\) | −3.99815 | + | 8.75473i | −0.182300 | + | 0.399181i | ||||
\(482\) | 18.1818i | 0.828160i | ||||||||
\(483\) | 10.5380 | + | 13.0775i | 0.479494 | + | 0.595047i | ||||
\(484\) | 4.73891 | 0.215405 | ||||||||
\(485\) | −16.8596 | + | 31.2065i | −0.765554 | + | 1.41702i | ||||
\(486\) | −18.1009 | − | 5.31490i | −0.821073 | − | 0.241089i | ||||
\(487\) | −20.2402 | + | 17.5383i | −0.917172 | + | 0.794734i | −0.979107 | − | 0.203346i | \(-0.934818\pi\) |
0.0619349 | + | 0.998080i | \(0.480273\pi\) | |||||||
\(488\) | −1.91631 | − | 2.98184i | −0.0867473 | − | 0.134981i | ||||
\(489\) | 17.4701 | − | 20.1615i | 0.790024 | − | 0.911736i | ||||
\(490\) | −2.49187 | + | 11.7064i | −0.112571 | + | 0.528841i | ||||
\(491\) | −12.5811 | + | 3.69414i | −0.567777 | + | 0.166714i | −0.553007 | − | 0.833177i | \(-0.686520\pi\) |
−0.0147699 | + | 0.999891i | \(0.504702\pi\) | |||||||
\(492\) | −5.87329 | + | 9.13902i | −0.264788 | + | 0.412019i | ||||
\(493\) | 8.88713 | − | 1.27778i | 0.400256 | − | 0.0575481i | ||||
\(494\) | 0.353296 | + | 0.773611i | 0.0158956 | + | 0.0348064i | ||||
\(495\) | −23.2590 | + | 8.79366i | −1.04541 | + | 0.395246i | ||||
\(496\) | 1.14589 | + | 7.96983i | 0.0514519 | + | 0.357856i | ||||
\(497\) | −4.44036 | + | 6.90934i | −0.199177 | + | 0.309926i | ||||
\(498\) | 3.43061 | + | 11.6836i | 0.153729 | + | 0.523553i | ||||
\(499\) | −1.11596 | + | 7.76167i | −0.0499572 | + | 0.347460i | 0.949477 | + | 0.313836i | \(0.101614\pi\) |
−0.999435 | + | 0.0336244i | \(0.989295\pi\) | |||||||
\(500\) | 6.81943 | + | 8.85976i | 0.304974 | + | 0.396221i | ||||
\(501\) | 41.7356 | − | 26.8218i | 1.86461 | − | 1.19831i | ||||
\(502\) | 6.06108 | − | 5.25195i | 0.270519 | − | 0.234406i | ||||
\(503\) | 4.20705 | − | 14.3279i | 0.187583 | − | 0.638850i | −0.810970 | − | 0.585087i | \(-0.801060\pi\) |
0.998554 | − | 0.0537629i | \(-0.0171215\pi\) | |||||||
\(504\) | −2.36963 | + | 5.18877i | −0.105552 | + | 0.231126i | ||||
\(505\) | 1.87800 | − | 28.0154i | 0.0835697 | − | 1.24667i | ||||
\(506\) | 10.7307 | + | 5.37178i | 0.477040 | + | 0.238805i | ||||
\(507\) | 32.5698i | 1.44647i | ||||||||
\(508\) | 14.1820 | + | 6.47670i | 0.629225 | + | 0.287357i | ||||
\(509\) | −8.09490 | − | 2.37688i | −0.358800 | − | 0.105353i | 0.0973641 | − | 0.995249i | \(-0.468959\pi\) |
−0.456164 | + | 0.889896i | \(0.650777\pi\) | |||||||
\(510\) | −19.3826 | − | 25.6526i | −0.858277 | − | 1.13592i | ||||
\(511\) | 18.0540 | − | 11.6026i | 0.798663 | − | 0.513270i | ||||
\(512\) | −0.755750 | − | 0.654861i | −0.0333997 | − | 0.0289410i | ||||
\(513\) | −3.21767 | − | 0.462631i | −0.142064 | − | 0.0204257i | ||||
\(514\) | −7.47384 | + | 2.19452i | −0.329657 | + | 0.0967961i | ||||
\(515\) | −10.6075 | − | 7.86703i | −0.467424 | − | 0.346663i | ||||
\(516\) | 3.78004 | + | 26.2907i | 0.166407 | + | 1.15739i | ||||
\(517\) | 23.0917 | − | 10.5456i | 1.01557 | − | 0.463796i | ||||
\(518\) | 10.9004 | − | 4.97805i | 0.478937 | − | 0.218723i | ||||
\(519\) | 1.81914 | + | 12.6524i | 0.0798514 | + | 0.555379i | ||||
\(520\) | 1.37314 | − | 1.85148i | 0.0602163 | − | 0.0811928i | ||||
\(521\) | 34.8812 | − | 10.2420i | 1.52817 | − | 0.448712i | 0.593682 | − | 0.804700i | \(-0.297674\pi\) |
0.934490 | + | 0.355988i | \(0.115856\pi\) | |||||||
\(522\) | −7.49449 | − | 1.07754i | −0.328025 | − | 0.0471628i | ||||
\(523\) | −11.2685 | − | 9.76418i | −0.492736 | − | 0.426958i | 0.372720 | − | 0.927944i | \(-0.378425\pi\) |
−0.865455 | + | 0.500986i | \(0.832971\pi\) | |||||||
\(524\) | 9.61110 | − | 6.17668i | 0.419863 | − | 0.269829i | ||||
\(525\) | −9.59777 | − | 14.6452i | −0.418881 | − | 0.639167i | ||||
\(526\) | −8.21295 | − | 2.41154i | −0.358102 | − | 0.105148i | ||||
\(527\) | 38.5985 | + | 17.6273i | 1.68138 | + | 0.767859i | ||||
\(528\) | 6.82706i | 0.297110i | ||||||||
\(529\) | −13.7824 | − | 18.4132i | −0.599236 | − | 0.800572i | ||||
\(530\) | −0.596286 | + | 8.89524i | −0.0259010 | + | 0.386384i | ||||
\(531\) | 14.4327 | − | 31.6033i | 0.626327 | − | 1.37147i | ||||
\(532\) | 0.298328 | − | 1.01601i | 0.0129342 | − | 0.0440497i | ||||
\(533\) | −3.10204 | + | 2.68793i | −0.134364 | + | 0.116427i | ||||
\(534\) | 15.8521 | − | 10.1875i | 0.685986 | − | 0.440857i | ||||
\(535\) | −0.204681 | + | 0.206517i | −0.00884912 | + | 0.00892851i | ||||
\(536\) | 2.04580 | − | 14.2289i | 0.0883651 | − | 0.614593i | ||||
\(537\) | 6.80444 | + | 23.1738i | 0.293633 | + | 1.00002i | ||||
\(538\) | 6.61162 | − | 10.2879i | 0.285047 | − | 0.443542i | ||||
\(539\) | −1.90606 | − | 13.2569i | −0.0820997 | − | 0.571016i | ||||
\(540\) | 3.11591 | + | 8.24150i | 0.134088 | + | 0.354658i | ||||
\(541\) | −15.8763 | − | 34.7642i | −0.682575 | − | 1.49463i | −0.859891 | − | 0.510477i | \(-0.829469\pi\) |
0.177316 | − | 0.984154i | \(-0.443258\pi\) | |||||||
\(542\) | −30.5074 | + | 4.38631i | −1.31041 | + | 0.188408i | ||||
\(543\) | −30.5994 | + | 47.6136i | −1.31315 | + | 2.04330i | ||||
\(544\) | −5.05655 | + | 1.48474i | −0.216798 | + | 0.0636575i | ||||
\(545\) | 11.1370 | + | 2.37067i | 0.477057 | + | 0.101548i | ||||
\(546\) | −2.36412 | + | 2.72834i | −0.101175 | + | 0.116762i | ||||
\(547\) | 8.28852 | + | 12.8972i | 0.354392 | + | 0.551444i | 0.971982 | − | 0.235056i | \(-0.0755273\pi\) |
−0.617590 | + | 0.786500i | \(0.711891\pi\) | |||||||
\(548\) | 5.43939 | − | 4.71326i | 0.232359 | − | 0.201340i | ||||
\(549\) | 15.1144 | + | 4.43799i | 0.645068 | + | 0.189409i | ||||
\(550\) | −10.5850 | − | 6.66973i | −0.451345 | − | 0.284398i | ||||
\(551\) | 1.40554 | 0.0598781 | ||||||||
\(552\) | 5.85736 | − | 11.7008i | 0.249306 | − | 0.498017i | ||||
\(553\) | − | 9.18000i | − | 0.390374i | ||||||
\(554\) | −7.34270 | + | 16.0783i | −0.311961 | + | 0.683100i | ||||
\(555\) | 19.6667 | − | 53.4564i | 0.834807 | − | 2.26910i | ||||
\(556\) | 6.61804 | + | 7.63762i | 0.280667 | + | 0.323907i | ||||
\(557\) | 4.05660 | + | 6.31220i | 0.171884 | + | 0.267456i | 0.916498 | − | 0.400038i | \(-0.131003\pi\) |
−0.744615 | + | 0.667494i | \(0.767367\pi\) | |||||||
\(558\) | −27.0435 | − | 23.4333i | −1.14484 | − | 0.992012i | ||||
\(559\) | −1.42821 | + | 9.93344i | −0.0604070 | + | 0.420140i | ||||
\(560\) | −2.80172 | + | 0.622592i | −0.118394 | + | 0.0263093i | ||||
\(561\) | 30.2672 | + | 19.4516i | 1.27788 | + | 0.821246i | ||||
\(562\) | 24.4699 | − | 3.51824i | 1.03220 | − | 0.148408i | ||||
\(563\) | −8.69523 | + | 3.97098i | −0.366460 | + | 0.167357i | −0.590130 | − | 0.807308i | \(-0.700924\pi\) |
0.223670 | + | 0.974665i | \(0.428196\pi\) | |||||||
\(564\) | −11.4989 | − | 25.1791i | −0.484191 | − | 1.06023i | ||||
\(565\) | −2.55252 | − | 33.5807i | −0.107385 | − | 1.41275i | ||||
\(566\) | 23.9423 | + | 15.3868i | 1.00637 | + | 0.646755i | ||||
\(567\) | 0.933590 | + | 3.17951i | 0.0392071 | + | 0.133527i | ||||
\(568\) | 6.33375 | + | 0.910655i | 0.265758 | + | 0.0382102i | ||||
\(569\) | −22.0675 | + | 25.4672i | −0.925117 | + | 1.06764i | 0.0724108 | + | 0.997375i | \(0.476931\pi\) |
−0.997528 | + | 0.0702675i | \(0.977615\pi\) | |||||||
\(570\) | −2.43186 | − | 4.40673i | −0.101860 | − | 0.184578i | ||||
\(571\) | 16.9259 | + | 19.5336i | 0.708328 | + | 0.817454i | 0.989852 | − | 0.142100i | \(-0.0453855\pi\) |
−0.281525 | + | 0.959554i | \(0.590840\pi\) | |||||||
\(572\) | −0.726721 | + | 2.47498i | −0.0303857 | + | 0.103484i | ||||
\(573\) | −40.4750 | − | 18.4843i | −1.69087 | − | 0.772194i | ||||
\(574\) | 5.11057 | 0.213311 | ||||||||
\(575\) | 12.4190 | + | 20.5126i | 0.517908 | + | 0.855436i | ||||
\(576\) | 4.44419 | 0.185175 | ||||||||
\(577\) | 39.1801 | + | 17.8929i | 1.63109 | + | 0.744893i | 0.999537 | − | 0.0304413i | \(-0.00969128\pi\) |
0.631551 | + | 0.775334i | \(0.282419\pi\) | |||||||
\(578\) | −3.03513 | + | 10.3367i | −0.126245 | + | 0.429951i | ||||
\(579\) | 17.0584 | + | 19.6864i | 0.708922 | + | 0.818140i | ||||
\(580\) | −1.84065 | − | 3.33540i | −0.0764289 | − | 0.138495i | ||||
\(581\) | 3.75128 | − | 4.32921i | 0.155629 | − | 0.179606i | ||||
\(582\) | −42.8388 | − | 6.15928i | −1.77572 | − | 0.255311i | ||||
\(583\) | −2.81066 | − | 9.57222i | −0.116406 | − | 0.396441i | ||||
\(584\) | −14.0659 | − | 9.03962i | −0.582052 | − | 0.374062i | ||||
\(585\) | 0.776445 | + | 10.2149i | 0.0321021 | + | 0.422332i | ||||
\(586\) | −9.34370 | − | 20.4599i | −0.385985 | − | 0.845189i | ||||
\(587\) | −36.7829 | + | 16.7982i | −1.51819 | + | 0.693335i | −0.987987 | − | 0.154534i | \(-0.950612\pi\) |
−0.530205 | + | 0.847869i | \(0.677885\pi\) | |||||||
\(588\) | −14.4553 | + | 2.07836i | −0.596126 | + | 0.0857099i | ||||
\(589\) | 5.58818 | + | 3.59131i | 0.230257 | + | 0.147977i | ||||
\(590\) | 17.0644 | − | 3.79203i | 0.702532 | − | 0.156115i | ||||
\(591\) | −1.97369 | + | 13.7273i | −0.0811868 | + | 0.564667i | ||||
\(592\) | −7.05585 | − | 6.11393i | −0.289994 | − | 0.251281i | ||||
\(593\) | −7.43652 | − | 11.5715i | −0.305381 | − | 0.475183i | 0.654315 | − | 0.756222i | \(-0.272957\pi\) |
−0.959696 | + | 0.281039i | \(0.909321\pi\) | |||||||
\(594\) | −6.45664 | − | 7.45137i | −0.264919 | − | 0.305733i | ||||
\(595\) | −5.22240 | + | 14.1951i | −0.214098 | + | 0.581941i | ||||
\(596\) | 5.82013 | − | 12.7443i | 0.238402 | − | 0.522027i | ||||
\(597\) | 1.46150i | 0.0598152i | ||||||||
\(598\) | 3.36895 | − | 3.61832i | 0.137767 | − | 0.147964i | ||||
\(599\) | −12.9013 | −0.527132 | −0.263566 | − | 0.964641i | \(-0.584899\pi\) | ||||
−0.263566 | + | 0.964641i | \(0.584899\pi\) | |||||||
\(600\) | −7.27264 | + | 11.5418i | −0.296904 | + | 0.471193i | ||||
\(601\) | 14.6759 | + | 4.30923i | 0.598642 | + | 0.175777i | 0.566994 | − | 0.823722i | \(-0.308106\pi\) |
0.0316482 | + | 0.999499i | \(0.489924\pi\) | |||||||
\(602\) | 9.44324 | − | 8.18261i | 0.384878 | − | 0.333498i | ||||
\(603\) | 34.5394 | + | 53.7443i | 1.40655 | + | 2.18864i | ||||
\(604\) | 8.40852 | − | 9.70395i | 0.342138 | − | 0.394848i | ||||
\(605\) | −10.3643 | − | 2.20619i | −0.421370 | − | 0.0896945i | ||||
\(606\) | 32.8728 | − | 9.65232i | 1.33537 | − | 0.392099i | ||||
\(607\) | 16.6331 | − | 25.8816i | 0.675116 | − | 1.05050i | −0.319571 | − | 0.947562i | \(-0.603539\pi\) |
0.994688 | − | 0.102939i | \(-0.0328248\pi\) | |||||||
\(608\) | −0.816598 | + | 0.117409i | −0.0331174 | + | 0.00476157i | ||||
\(609\) | 2.47850 | + | 5.42716i | 0.100434 | + | 0.219920i | ||||
\(610\) | 2.80291 | + | 7.41361i | 0.113487 | + | 0.300168i | ||||
\(611\) | −1.48840 | − | 10.3521i | −0.0602144 | − | 0.418800i | ||||
\(612\) | 12.6623 | − | 19.7030i | 0.511844 | − | 0.796445i | ||||
\(613\) | −4.97950 | − | 16.9586i | −0.201120 | − | 0.684952i | −0.996851 | − | 0.0793012i | \(-0.974731\pi\) |
0.795731 | − | 0.605651i | \(-0.207087\pi\) | |||||||
\(614\) | 4.26404 | − | 29.6570i | 0.172083 | − | 1.19686i | ||||
\(615\) | 17.0999 | − | 17.2533i | 0.689536 | − | 0.695722i | ||||
\(616\) | 2.70183 | − | 1.73636i | 0.108860 | − | 0.0699599i | ||||
\(617\) | 8.31028 | − | 7.20090i | 0.334559 | − | 0.289897i | −0.471338 | − | 0.881953i | \(-0.656229\pi\) |
0.805897 | + | 0.592055i | \(0.201683\pi\) | |||||||
\(618\) | 4.53990 | − | 15.4615i | 0.182622 | − | 0.621952i | ||||
\(619\) | −8.16958 | + | 17.8889i | −0.328363 | + | 0.719015i | −0.999756 | − | 0.0220866i | \(-0.992969\pi\) |
0.671393 | + | 0.741102i | \(0.265696\pi\) | |||||||
\(620\) | 1.20421 | − | 17.9640i | 0.0483621 | − | 0.721453i | ||||
\(621\) | 4.67292 | + | 18.3103i | 0.187518 | + | 0.734767i | ||||
\(622\) | 6.40806i | 0.256940i | ||||||||
\(623\) | −8.06347 | − | 3.68246i | −0.323056 | − | 0.147535i | ||||
\(624\) | 2.69871 | + | 0.792413i | 0.108035 | + | 0.0317219i | ||||
\(625\) | −10.7899 | − | 22.5517i | −0.431596 | − | 0.902067i | ||||
\(626\) | 1.82377 | − | 1.17207i | 0.0728926 | − | 0.0468452i | ||||
\(627\) | 4.25660 | + | 3.68837i | 0.169992 | + | 0.147299i | ||||
\(628\) | −12.4416 | − | 1.78883i | −0.496474 | − | 0.0713821i | ||||
\(629\) | −47.2091 | + | 13.8618i | −1.88235 | + | 0.552708i | ||||
\(630\) | 7.59816 | − | 10.2450i | 0.302718 | − | 0.408171i | ||||
\(631\) | −1.39279 | − | 9.68707i | −0.0554461 | − | 0.385636i | −0.998582 | − | 0.0532297i | \(-0.983048\pi\) |
0.943136 | − | 0.332407i | \(-0.107861\pi\) | |||||||
\(632\) | −6.50583 | + | 2.97111i | −0.258788 | + | 0.118185i | ||||
\(633\) | 13.0186 | − | 5.94539i | 0.517443 | − | 0.236308i | ||||
\(634\) | 1.25397 | + | 8.72155i | 0.0498015 | + | 0.346377i | ||||
\(635\) | −28.0018 | − | 20.7674i | −1.11122 | − | 0.824129i | ||||
\(636\) | −10.4375 | + | 3.06473i | −0.413874 | + | 0.121524i | ||||
\(637\) | −5.46164 | − | 0.785266i | −0.216398 | − | 0.0311134i | ||||
\(638\) | 3.22177 | + | 2.79168i | 0.127551 | + | 0.110524i | ||||
\(639\) | −23.9234 | + | 15.3747i | −0.946396 | + | 0.608212i | ||||
\(640\) | 1.34801 | + | 1.78406i | 0.0532846 | + | 0.0705213i | ||||
\(641\) | 15.0604 | + | 4.42214i | 0.594851 | + | 0.174664i | 0.565281 | − | 0.824899i | \(-0.308768\pi\) |
0.0295706 | + | 0.999563i | \(0.490586\pi\) | |||||||
\(642\) | −0.322723 | − | 0.147382i | −0.0127368 | − | 0.00581672i | ||||
\(643\) | − | 23.5890i | − | 0.930261i | −0.885242 | − | 0.465130i | \(-0.846007\pi\) | ||
0.885242 | − | 0.465130i | \(-0.153993\pi\) | |||||||
\(644\) | −6.12034 | + | 0.657843i | −0.241175 | + | 0.0259226i | ||||
\(645\) | 3.97242 | − | 59.2594i | 0.156414 | − | 2.33334i | ||||
\(646\) | −1.80612 | + | 3.95484i | −0.0710607 | + | 0.155601i | ||||
\(647\) | −4.90636 | + | 16.7095i | −0.192889 | + | 0.656920i | 0.805077 | + | 0.593171i | \(0.202124\pi\) |
−0.997966 | + | 0.0637494i | \(0.979694\pi\) | |||||||
\(648\) | 1.95115 | − | 1.69068i | 0.0766485 | − | 0.0664163i | ||||
\(649\) | −16.4560 | + | 10.5757i | −0.645956 | + | 0.415131i | ||||
\(650\) | −3.86511 | + | 3.41005i | −0.151602 | + | 0.133753i | ||||
\(651\) | −4.01289 | + | 27.9102i | −0.157277 | + | 1.09389i | ||||
\(652\) | 2.75470 | + | 9.38164i | 0.107882 | + | 0.367413i | ||||
\(653\) | 15.8004 | − | 24.5860i | 0.618319 | − | 0.962123i | −0.380976 | − | 0.924585i | \(-0.624412\pi\) |
0.999295 | − | 0.0375381i | \(-0.0119515\pi\) | |||||||
\(654\) | 1.97727 | + | 13.7522i | 0.0773173 | + | 0.537753i | ||||
\(655\) | −23.8957 | + | 9.03438i | −0.933681 | + | 0.353002i | ||||
\(656\) | −1.65404 | − | 3.62184i | −0.0645794 | − | 0.141409i | ||||
\(657\) | 73.5514 | − | 10.5751i | 2.86951 | − | 0.412574i | ||||
\(658\) | −7.04011 | + | 10.9546i | −0.274452 | + | 0.427056i | ||||
\(659\) | 9.55859 | − | 2.80665i | 0.372350 | − | 0.109332i | −0.0902033 | − | 0.995923i | \(-0.528752\pi\) |
0.462553 | + | 0.886592i | \(0.346934\pi\) | |||||||
\(660\) | 3.17833 | − | 14.9312i | 0.123716 | − | 0.581198i | ||||
\(661\) | −4.29992 | + | 4.96237i | −0.167248 | + | 0.193014i | −0.833186 | − | 0.552993i | \(-0.813486\pi\) |
0.665939 | + | 0.746007i | \(0.268031\pi\) | |||||||
\(662\) | −0.447699 | − | 0.696634i | −0.0174003 | − | 0.0270754i | ||||
\(663\) | 11.2022 | − | 9.70679i | 0.435059 | − | 0.376980i | ||||
\(664\) | −4.28220 | − | 1.25737i | −0.166182 | − | 0.0487953i | ||||
\(665\) | −1.12547 | + | 2.08320i | −0.0436437 | + | 0.0807831i | ||||
\(666\) | 41.4920 | 1.60778 | ||||||||
\(667\) | −3.12657 | − | 7.54877i | −0.121061 | − | 0.292290i | ||||
\(668\) | 18.1832i | 0.703530i | ||||||||
\(669\) | −6.00439 | + | 13.1478i | −0.232143 | + | 0.508323i | ||||
\(670\) | −11.0985 | + | 30.1670i | −0.428773 | + | 1.16545i | ||||
\(671\) | −5.80806 | − | 6.70285i | −0.224218 | − | 0.258761i | ||||
\(672\) | −1.89332 | − | 2.94606i | −0.0730363 | − | 0.113647i | ||||
\(673\) | 0.128416 | + | 0.111273i | 0.00495006 | + | 0.00428925i | 0.657332 | − | 0.753601i | \(-0.271685\pi\) |
−0.652382 | + | 0.757890i | \(0.726230\pi\) | |||||||
\(674\) | 1.21547 | − | 8.45376i | 0.0468180 | − | 0.325627i | ||||
\(675\) | −2.97790 | − | 19.4753i | −0.114619 | − | 0.749605i | ||||
\(676\) | −10.0423 | − | 6.45379i | −0.386242 | − | 0.248223i | ||||
\(677\) | −22.7942 | + | 3.27731i | −0.876051 | + | 0.125957i | −0.565647 | − | 0.824648i | \(-0.691373\pi\) |
−0.310404 | + | 0.950605i | \(0.600464\pi\) | |||||||
\(678\) | 37.3792 | − | 17.0705i | 1.43554 | − | 0.655589i | ||||
\(679\) | 8.45784 | + | 18.5201i | 0.324582 | + | 0.710735i | ||||
\(680\) | 11.7502 | − | 0.893151i | 0.450601 | − | 0.0342508i | ||||
\(681\) | −15.4240 | − | 9.91240i | −0.591049 | − | 0.379844i | ||||
\(682\) | 5.67616 | + | 19.3312i | 0.217351 | + | 0.740230i | ||||
\(683\) | 28.6657 | + | 4.12150i | 1.09686 | + | 0.157705i | 0.666904 | − | 0.745144i | \(-0.267619\pi\) |
0.429958 | + | 0.902849i | \(0.358528\pi\) | |||||||
\(684\) | 2.40100 | − | 2.77091i | 0.0918047 | − | 0.105948i | ||||
\(685\) | −14.0906 | + | 7.77591i | −0.538372 | + | 0.297102i | ||||
\(686\) | 10.3827 | + | 11.9823i | 0.396414 | + | 0.457487i | ||||
\(687\) | 8.67568 | − | 29.5466i | 0.330998 | − | 1.12727i | ||||
\(688\) | −8.85530 | − | 4.04408i | −0.337605 | − | 0.154179i | ||||
\(689\) | −4.11009 | −0.156582 | ||||||||
\(690\) | −18.2577 | + | 22.8635i | −0.695059 | + | 0.870397i | ||||
\(691\) | −31.4009 | −1.19454 | −0.597272 | − | 0.802038i | \(-0.703749\pi\) | ||||
−0.597272 | + | 0.802038i | \(0.703749\pi\) | |||||||
\(692\) | −4.26160 | − | 1.94621i | −0.162002 | − | 0.0739838i | ||||
\(693\) | −4.02124 | + | 13.6951i | −0.152754 | + | 0.520234i | ||||
\(694\) | −2.44577 | − | 2.82257i | −0.0928403 | − | 0.107143i | ||||
\(695\) | −10.9184 | − | 19.7850i | −0.414159 | − | 0.750489i | ||||
\(696\) | 3.04404 | − | 3.51301i | 0.115384 | − | 0.133160i | ||||
\(697\) | −20.7698 | − | 2.98625i | −0.786713 | − | 0.113112i | ||||
\(698\) | −1.53363 | − | 5.22308i | −0.0580489 | − | 0.197696i | ||||
\(699\) | 10.1843 | + | 6.54505i | 0.385206 | + | 0.247557i | ||||
\(700\) | 6.41739 | − | 0.0573172i | 0.242555 | − | 0.00216639i | ||||
\(701\) | −9.54358 | − | 20.8975i | −0.360456 | − | 0.789289i | −0.999793 | − | 0.0203618i | \(-0.993518\pi\) |
0.639337 | − | 0.768927i | \(-0.279209\pi\) | |||||||
\(702\) | −3.69491 | + | 1.68741i | −0.139456 | + | 0.0636872i | ||||
\(703\) | −7.62395 | + | 1.09616i | −0.287543 | + | 0.0413424i | ||||
\(704\) | −2.10500 | − | 1.35280i | −0.0793351 | − | 0.0509856i | ||||
\(705\) | 13.4268 | + | 60.4216i | 0.505682 | + | 2.27561i | ||||
\(706\) | −2.52599 | + | 17.5687i | −0.0950670 | + | 0.661206i | ||||
\(707\) | −12.1806 | − | 10.5546i | −0.458100 | − | 0.396946i | ||||
\(708\) | 11.5316 | + | 17.9436i | 0.433386 | + | 0.674361i | ||||
\(709\) | −26.4117 | − | 30.4807i | −0.991913 | − | 1.14473i | −0.989471 | − | 0.144731i | \(-0.953768\pi\) |
−0.00244186 | − | 0.999997i | \(-0.500777\pi\) | |||||||
\(710\) | −13.4284 | − | 4.94033i | −0.503958 | − | 0.185407i | ||||
\(711\) | 13.2042 | − | 28.9132i | 0.495196 | − | 1.08433i | ||||
\(712\) | 6.90638i | 0.258828i | ||||||||
\(713\) | 6.85721 | − | 38.0013i | 0.256805 | − | 1.42316i | ||||
\(714\) | −18.4555 | −0.690681 | ||||||||
\(715\) | 2.74161 | − | 5.07463i | 0.102530 | − | 0.189780i | ||||
\(716\) | −8.49353 | − | 2.49393i | −0.317418 | − | 0.0932024i | ||||
\(717\) | −37.4189 | + | 32.4237i | −1.39743 | + | 1.21088i | ||||
\(718\) | −9.39543 | − | 14.6196i | −0.350635 | − | 0.545598i | ||||
\(719\) | −5.20115 | + | 6.00245i | −0.193970 | + | 0.223854i | −0.844401 | − | 0.535712i | \(-0.820043\pi\) |
0.650430 | + | 0.759566i | \(0.274589\pi\) | |||||||
\(720\) | −9.71974 | − | 2.06899i | −0.362233 | − | 0.0771065i | ||||
\(721\) | −7.27358 | + | 2.13571i | −0.270882 | + | 0.0795382i | ||||
\(722\) | 9.90421 | − | 15.4112i | 0.368596 | − | 0.573547i | ||||
\(723\) | 49.1025 | − | 7.05987i | 1.82614 | − | 0.262559i | ||||
\(724\) | −8.61743 | − | 18.8695i | −0.320264 | − | 0.701281i | ||||
\(725\) | 2.47284 | + | 8.15167i | 0.0918389 | + | 0.302745i | ||||
\(726\) | −1.84008 | − | 12.7981i | −0.0682919 | − | 0.474981i | ||||
\(727\) | 8.95902 | − | 13.9405i | 0.332272 | − | 0.517025i | −0.634413 | − | 0.772994i | \(-0.718758\pi\) |
0.966685 | + | 0.255969i | \(0.0823945\pi\) | |||||||
\(728\) | −0.372776 | − | 1.26956i | −0.0138160 | − | 0.0470530i | ||||
\(729\) | −6.22289 | + | 43.2812i | −0.230478 | + | 1.60301i | ||||
\(730\) | 26.5547 | + | 26.3186i | 0.982835 | + | 0.974096i | ||||
\(731\) | −43.1595 | + | 27.7369i | −1.59631 | + | 1.02589i | ||||
\(732\) | −7.30876 | + | 6.33308i | −0.270140 | + | 0.234077i | ||||
\(733\) | 4.19248 | − | 14.2783i | 0.154853 | − | 0.527380i | −0.845121 | − | 0.534574i | \(-0.820472\pi\) |
0.999974 | + | 0.00719467i | \(0.00229015\pi\) | |||||||
\(734\) | 10.9896 | − | 24.0639i | 0.405634 | − | 0.888215i | ||||
\(735\) | 32.5823 | + | 2.18413i | 1.20181 | + | 0.0805628i | ||||
\(736\) | 2.44706 | + | 4.12455i | 0.0901999 | + | 0.152033i | ||||
\(737\) | − | 35.9698i | − | 1.32496i | ||||||
\(738\) | 16.0962 | + | 7.35087i | 0.592508 | + | 0.270589i | ||||
\(739\) | 45.9414 | + | 13.4896i | 1.68998 | + | 0.496223i | 0.978459 | − | 0.206441i | \(-0.0661882\pi\) |
0.711522 | + | 0.702664i | \(0.248006\pi\) | |||||||
\(740\) | 12.5853 | + | 16.6564i | 0.462645 | + | 0.612302i | ||||
\(741\) | 1.95206 | − | 1.25451i | 0.0717106 | − | 0.0460856i | ||||
\(742\) | 3.86750 | + | 3.35120i | 0.141980 | + | 0.123027i | ||||
\(743\) | 6.21778 | + | 0.893982i | 0.228108 | + | 0.0327970i | 0.255421 | − | 0.966830i | \(-0.417786\pi\) |
−0.0273127 | + | 0.999627i | \(0.508695\pi\) | |||||||
\(744\) | 21.0787 | − | 6.18925i | 0.772781 | − | 0.226909i | ||||
\(745\) | −18.6621 | + | 25.1631i | −0.683727 | + | 0.921905i | ||||
\(746\) | 1.67413 | + | 11.6439i | 0.0612944 | + | 0.426312i | ||||
\(747\) | 18.0420 | − | 8.23948i | 0.660121 | − | 0.301467i | ||||
\(748\) | −11.9951 | + | 5.47797i | −0.438583 | + | 0.200294i | ||||
\(749\) | 0.0237526 | + | 0.165203i | 0.000867900 | + | 0.00603638i | ||||
\(750\) | 21.2790 | − | 21.8570i | 0.777000 | − | 0.798103i | ||||
\(751\) | −13.7749 | + | 4.04468i | −0.502654 | + | 0.147593i | −0.523223 | − | 0.852196i | \(-0.675271\pi\) |
0.0205686 | + | 0.999788i | \(0.493452\pi\) | |||||||
\(752\) | 10.0420 | + | 1.44383i | 0.366195 | + | 0.0526510i | ||||
\(753\) | −16.5371 | − | 14.3295i | −0.602644 | − | 0.522194i | ||||
\(754\) | 1.47749 | − | 0.949526i | 0.0538070 | − | 0.0345797i | ||||
\(755\) | −22.9077 | + | 17.3086i | −0.833696 | + | 0.629926i | ||||
\(756\) | 4.85267 | + | 1.42487i | 0.176490 | + | 0.0518221i | ||||
\(757\) | −25.9541 | − | 11.8528i | −0.943318 | − | 0.430799i | −0.116451 | − | 0.993196i | \(-0.537152\pi\) |
−0.826867 | + | 0.562398i | \(0.809879\pi\) | |||||||
\(758\) | − | 0.526928i | − | 0.0191389i | ||||||
\(759\) | 10.3405 | − | 31.0656i | 0.375338 | − | 1.12761i | ||||
\(760\) | 1.84061 | + | 0.123384i | 0.0667661 | + | 0.00447562i | ||||
\(761\) | 22.6426 | − | 49.5805i | 0.820795 | − | 1.79729i | 0.269446 | − | 0.963015i | \(-0.413159\pi\) |
0.551349 | − | 0.834275i | \(-0.314113\pi\) | |||||||
\(762\) | 11.9844 | − | 40.8152i | 0.434150 | − | 1.47858i | ||||
\(763\) | 4.93958 | − | 4.28017i | 0.178825 | − | 0.154953i | ||||
\(764\) | 13.7195 | − | 8.81701i | 0.496355 | − | 0.318988i | ||||
\(765\) | −36.8661 | + | 37.1968i | −1.33290 | + | 1.34485i | ||||
\(766\) | −0.437881 | + | 3.04553i | −0.0158213 | + | 0.110040i | ||||
\(767\) | 2.27047 | + | 7.73252i | 0.0819820 | + | 0.279205i | ||||
\(768\) | −1.47509 | + | 2.29528i | −0.0532276 | + | 0.0828238i | ||||
\(769\) | 3.75398 | + | 26.1095i | 0.135372 | + | 0.941532i | 0.938390 | + | 0.345578i | \(0.112317\pi\) |
−0.803018 | + | 0.595954i | \(0.796774\pi\) | |||||||
\(770\) | −6.71744 | + | 2.53970i | −0.242080 | + | 0.0915245i | ||||
\(771\) | 8.82863 | + | 19.3320i | 0.317955 | + | 0.696225i | ||||
\(772\) | −9.45012 | + | 1.35872i | −0.340117 | + | 0.0489015i | ||||
\(773\) | −24.0590 | + | 37.4366i | −0.865344 | + | 1.34650i | 0.0717496 | + | 0.997423i | \(0.477142\pi\) |
−0.937093 | + | 0.349079i | \(0.886495\pi\) | |||||||
\(774\) | 41.5118 | − | 12.1890i | 1.49211 | − | 0.438123i | ||||
\(775\) | −10.9968 | + | 38.7279i | −0.395017 | + | 1.39115i | ||||
\(776\) | 10.3877 | − | 11.9881i | 0.372897 | − | 0.430347i | ||||
\(777\) | −17.6764 | − | 27.5051i | −0.634139 | − | 0.986739i | ||||
\(778\) | −14.8648 | + | 12.8804i | −0.532929 | + | 0.461785i | ||||
\(779\) | −3.15179 | − | 0.925449i | −0.112925 | − | 0.0331576i | ||||
\(780\) | −5.53335 | − | 2.98944i | −0.198126 | − | 0.107039i | ||||
\(781\) | 16.0114 | 0.572932 | ||||||||
\(782\) | 25.2580 | + | 0.902750i | 0.903224 | + | 0.0322823i | ||||
\(783\) | 6.71314i | 0.239908i | ||||||||
\(784\) | 2.22353 | − | 4.86885i | 0.0794118 | − | 0.173888i | ||||
\(785\) | 26.3778 | + | 9.70446i | 0.941465 | + | 0.346367i | ||||
\(786\) | −20.4129 | − | 23.5577i | −0.728102 | − | 0.840275i | ||||
\(787\) | −15.6663 | − | 24.3773i | −0.558444 | − | 0.868956i | 0.441150 | − | 0.897433i | \(-0.354571\pi\) |
−0.999594 | + | 0.0284773i | \(0.990934\pi\) | |||||||
\(788\) | −3.84148 | − | 3.32866i | −0.136847 | − | 0.118579i | ||||
\(789\) | −3.32366 | + | 23.1166i | −0.118325 | + | 0.822971i | ||||
\(790\) | 15.6119 | − | 3.46925i | 0.555446 | − | 0.123430i | ||||
\(791\) | −16.2625 | − | 10.4513i | −0.578229 | − | 0.371605i | ||||
\(792\) | 11.0071 | − | 1.58259i | 0.391122 | − | 0.0562348i | ||||
\(793\) | −3.32375 | + | 1.51791i | −0.118030 | + | 0.0539024i | ||||
\(794\) | 11.2788 | + | 24.6972i | 0.400270 | + | 0.876470i | ||||
\(795\) | 24.2543 | − | 1.84360i | 0.860212 | − | 0.0653859i | ||||
\(796\) | −0.450626 | − | 0.289600i | −0.0159720 | − | 0.0102646i | ||||
\(797\) | −5.29844 | − | 18.0448i | −0.187680 | − | 0.639180i | −0.998544 | − | 0.0539451i | \(-0.982820\pi\) |
0.810864 | − | 0.585235i | \(-0.198998\pi\) | |||||||
\(798\) | −2.85971 | − | 0.411165i | −0.101233 | − | 0.0145551i | ||||
\(799\) | 35.0127 | − | 40.4069i | 1.23866 | − | 1.42949i | ||||
\(800\) | −2.11761 | − | 4.52943i | −0.0748689 | − | 0.160139i | ||||
\(801\) | −20.0998 | − | 23.1964i | −0.710192 | − | 0.819605i | ||||
\(802\) | −4.72047 | + | 16.0764i | −0.166685 | + | 0.567678i | ||||
\(803\) | −38.0568 | − | 17.3799i | −1.34299 | − | 0.613325i | ||||
\(804\) | −39.2213 | −1.38323 | ||||||||
\(805\) | 13.6918 | + | 1.41057i | 0.482574 | + | 0.0497159i | ||||
\(806\) | 8.30038 | 0.292368 | ||||||||
\(807\) | −30.3510 | − | 13.8608i | −1.06841 | − | 0.487925i | ||||
\(808\) | −3.53772 | + | 12.0484i | −0.124456 | + | 0.423860i | ||||
\(809\) | 7.27377 | + | 8.39438i | 0.255732 | + | 0.295131i | 0.869069 | − | 0.494691i | \(-0.164719\pi\) |
−0.613337 | + | 0.789821i | \(0.710173\pi\) | |||||||
\(810\) | −5.05440 | + | 2.78928i | −0.177593 | + | 0.0980054i | ||||
\(811\) | 13.4440 | − | 15.5152i | 0.472082 | − | 0.544811i | −0.468908 | − | 0.883247i | \(-0.655352\pi\) |
0.940990 | + | 0.338436i | \(0.109898\pi\) | |||||||
\(812\) | −2.16449 | − | 0.311206i | −0.0759586 | − | 0.0109212i | ||||
\(813\) | 23.6916 | + | 80.6862i | 0.830901 | + | 2.82979i | ||||
\(814\) | −19.6528 | − | 12.6301i | −0.688829 | − | 0.442683i | ||||
\(815\) | −1.65710 | − | 21.8007i | −0.0580458 | − | 0.763646i | ||||
\(816\) | 5.97315 | + | 13.0794i | 0.209102 | + | 0.457869i | ||||
\(817\) | −7.30558 | + | 3.33635i | −0.255590 | + | 0.116724i | ||||
\(818\) | 20.1486 | − | 2.89692i | 0.704478 | − | 0.101289i | ||||
\(819\) | 4.94687 | + | 3.17916i | 0.172858 | + | 0.111089i | ||||
\(820\) | 1.93135 | + | 8.69125i | 0.0674458 | + | 0.303512i | ||||
\(821\) | −2.38641 | + | 16.5978i | −0.0832861 | + | 0.579268i | 0.904855 | + | 0.425720i | \(0.139979\pi\) |
−0.988141 | + | 0.153548i | \(0.950930\pi\) | |||||||
\(822\) | −14.8408 | − | 12.8597i | −0.517634 | − | 0.448532i | ||||
\(823\) | 19.1131 | + | 29.7406i | 0.666242 | + | 1.03669i | 0.995710 | + | 0.0925264i | \(0.0294943\pi\) |
−0.329468 | + | 0.944167i | \(0.606869\pi\) | |||||||
\(824\) | 3.86767 | + | 4.46353i | 0.134737 | + | 0.155494i | ||||
\(825\) | −13.9024 | + | 31.1760i | −0.484020 | + | 1.08541i | ||||
\(826\) | 4.16833 | − | 9.12736i | 0.145035 | − | 0.317581i | ||||
\(827\) | − | 6.09069i | − | 0.211794i | −0.994377 | − | 0.105897i | \(-0.966229\pi\) | ||
0.994377 | − | 0.105897i | \(-0.0337714\pi\) | |||||||
\(828\) | −20.2227 | − | 6.73135i | −0.702788 | − | 0.233931i | ||||
\(829\) | −7.89202 | −0.274101 | −0.137051 | − | 0.990564i | \(-0.543762\pi\) | ||||
−0.137051 | + | 0.990564i | \(0.543762\pi\) | |||||||
\(830\) | 8.78010 | + | 4.74352i | 0.304762 | + | 0.164650i | ||||
\(831\) | 46.2726 | + | 13.5869i | 1.60518 | + | 0.471323i | ||||
\(832\) | −0.779083 | + | 0.675079i | −0.0270098 | + | 0.0234041i | ||||
\(833\) | −15.2504 | − | 23.7301i | −0.528396 | − | 0.822200i | ||||
\(834\) | 18.0567 | − | 20.8385i | 0.625252 | − | 0.721579i | ||||
\(835\) | 8.46518 | − | 39.7680i | 0.292950 | − | 1.37623i | ||||
\(836\) | −1.98070 | + | 0.581585i | −0.0685038 | + | 0.0201145i | ||||
\(837\) | −17.1528 | + | 26.6902i | −0.592887 | + | 0.922549i | ||||
\(838\) | 18.1251 | − | 2.60599i | 0.626120 | − | 0.0900224i | ||||
\(839\) | 9.96951 | + | 21.8302i | 0.344186 | + | 0.753661i | 0.999999 | − | 0.00126147i | \(-0.000401539\pi\) |
−0.655814 | + | 0.754923i | \(0.727674\pi\) | |||||||
\(840\) | 2.76928 | + | 7.32466i | 0.0955492 | + | 0.252725i | ||||
\(841\) | 3.71405 | + | 25.8318i | 0.128071 | + | 0.890751i | ||||
\(842\) | −4.25041 | + | 6.61377i | −0.146479 | + | 0.227926i | ||||
\(843\) | −19.0029 | − | 64.7181i | −0.654496 | − | 2.22901i | ||||
\(844\) | −0.746517 | + | 5.19214i | −0.0256962 | + | 0.178721i | ||||
\(845\) | 18.9586 | + | 18.7901i | 0.652197 | + | 0.646397i | ||||
\(846\) | −37.9301 | + | 24.3762i | −1.30407 | + | 0.838072i | ||||
\(847\) | −4.59687 | + | 3.98321i | −0.157950 | + | 0.136865i | ||||
\(848\) | 1.12327 | − | 3.82550i | 0.0385732 | − | 0.131368i | ||||
\(849\) | 32.2575 | − | 70.6340i | 1.10707 | − | 2.42415i | ||||
\(850\) | −26.1143 | − | 3.51692i | −0.895715 | − | 0.120629i | ||||
\(851\) | 22.8463 | + | 38.5077i | 0.783162 | + | 1.32003i | ||||
\(852\) | − | 17.4587i | − | 0.598126i | ||||||
\(853\) | 34.2408 | + | 15.6372i | 1.17238 | + | 0.535409i | 0.903845 | − | 0.427860i | \(-0.140732\pi\) |
0.268538 | + | 0.963269i | \(0.413460\pi\) | |||||||
\(854\) | 4.36520 | + | 1.28174i | 0.149374 | + | 0.0438602i | ||||
\(855\) | −6.54115 | + | 4.94238i | −0.223703 | + | 0.169026i | ||||
\(856\) | 0.109391 | − | 0.0703014i | 0.00373891 | − | 0.00240285i | ||||
\(857\) | 19.9607 | + | 17.2961i | 0.681846 | + | 0.590823i | 0.925367 | − | 0.379073i | \(-0.123757\pi\) |
−0.243521 | + | 0.969896i | \(0.578303\pi\) | |||||||
\(858\) | 6.96620 | + | 1.00159i | 0.237822 | + | 0.0341937i | ||||
\(859\) | 44.1285 | − | 12.9573i | 1.50564 | − | 0.442097i | 0.578149 | − | 0.815931i | \(-0.303775\pi\) |
0.927495 | + | 0.373835i | \(0.121957\pi\) | |||||||
\(860\) | 17.4844 | + | 12.9672i | 0.596214 | + | 0.442179i | ||||
\(861\) | −1.98440 | − | 13.8018i | −0.0676280 | − | 0.470363i | ||||
\(862\) | −20.2440 | + | 9.24512i | −0.689513 | + | 0.314890i | ||||
\(863\) | 46.8946 | − | 21.4161i | 1.59631 | − | 0.729011i | 0.598894 | − | 0.800829i | \(-0.295607\pi\) |
0.997418 | + | 0.0718176i | \(0.0228800\pi\) | |||||||
\(864\) | −0.560768 | − | 3.90023i | −0.0190777 | − | 0.132688i | ||||
\(865\) | 8.41436 | + | 6.24048i | 0.286097 | + | 0.212183i | ||||
\(866\) | 23.9127 | − | 7.02142i | 0.812588 | − | 0.238597i | ||||
\(867\) | 29.0942 | + | 4.18312i | 0.988091 | + | 0.142066i | ||||
\(868\) | −7.81045 | − | 6.76779i | −0.265104 | − | 0.229714i | ||||
\(869\) | −15.0553 | + | 9.67544i | −0.510716 | + | 0.328217i | ||||
\(870\) | −8.29299 | + | 6.26604i | −0.281159 | + | 0.212439i | ||||
\(871\) | −14.2187 | − | 4.17499i | −0.481783 | − | 0.141464i | ||||
\(872\) | −4.63204 | − | 2.11538i | −0.156861 | − | 0.0716358i | ||||
\(873\) | 70.4959i | 2.38593i | ||||||||
\(874\) | 3.89366 | + | 0.702597i | 0.131705 | + | 0.0237657i | ||||
\(875\) | −14.0619 | − | 2.86225i | −0.475381 | − | 0.0967617i | ||||
\(876\) | −18.9510 | + | 41.4969i | −0.640295 | + | 1.40205i | ||||
\(877\) | −11.0133 | + | 37.5079i | −0.371893 | + | 1.26655i | 0.534878 | + | 0.844929i | \(0.320357\pi\) |
−0.906771 | + | 0.421623i | \(0.861461\pi\) | |||||||
\(878\) | −1.60941 | + | 1.39456i | −0.0543149 | + | 0.0470641i | ||||
\(879\) | −51.6265 | + | 33.1783i | −1.74132 | + | 1.11908i | ||||
\(880\) | 3.97398 | + | 3.93864i | 0.133963 | + | 0.132772i | ||||
\(881\) | 2.30365 | − | 16.0222i | 0.0776118 | − | 0.539802i | −0.913507 | − | 0.406823i | \(-0.866637\pi\) |
0.991119 | − | 0.132979i | \(-0.0424543\pi\) | |||||||
\(882\) | 6.70179 | + | 22.8242i | 0.225661 | + | 0.768530i | ||||
\(883\) | −13.8276 | + | 21.5162i | −0.465337 | + | 0.724079i | −0.992033 | − | 0.125975i | \(-0.959794\pi\) |
0.526696 | + | 0.850054i | \(0.323431\pi\) | |||||||
\(884\) | 0.773158 | + | 5.37743i | 0.0260041 | + | 0.180863i | ||||
\(885\) | −16.8669 | − | 44.6124i | −0.566974 | − | 1.49963i | ||||
\(886\) | −5.23341 | − | 11.4596i | −0.175820 | − | 0.384992i | ||||
\(887\) | 14.2191 | − | 2.04440i | 0.477432 | − | 0.0686443i | 0.100602 | − | 0.994927i | \(-0.467923\pi\) |
0.376830 | + | 0.926282i | \(0.377014\pi\) | |||||||
\(888\) | −13.7718 | + | 21.4293i | −0.462150 | + | 0.719119i | ||||
\(889\) | −19.2008 | + | 5.63786i | −0.643974 | + | 0.189088i | ||||
\(890\) | 3.21525 | − | 15.1047i | 0.107776 | − | 0.506311i | ||||
\(891\) | 4.23046 | − | 4.88221i | 0.141726 | − | 0.163560i | ||||
\(892\) | −2.86409 | − | 4.45661i | −0.0958969 | − | 0.149218i | ||||
\(893\) | 6.32549 | − | 5.48107i | 0.211675 | − | 0.183417i | ||||
\(894\) | −36.6776 | − | 10.7695i | −1.22668 | − | 0.360186i | ||||
\(895\) | 17.4149 | + | 9.40853i | 0.582115 | + | 0.314493i | ||||
\(896\) | 1.28353 | 0.0428797 | ||||||||
\(897\) | −11.0799 | − | 7.69334i | −0.369947 | − | 0.256873i | ||||
\(898\) | − | 15.3718i | − | 0.512962i | ||||||
\(899\) | 5.69858 | − | 12.4782i | 0.190058 | − | 0.416170i | ||||
\(900\) | 20.2945 | + | 9.05002i | 0.676484 | + | 0.301667i | ||||
\(901\) | −13.7596 | − | 15.8795i | −0.458400 | − | 0.529022i | ||||
\(902\) | −5.38639 | − | 8.38138i | −0.179347 | − | 0.279069i | ||||
\(903\) | −25.7650 | − | 22.3255i | −0.857405 | − | 0.742945i | ||||
\(904\) | −2.14341 | + | 14.9078i | −0.0712889 | + | 0.495825i | ||||
\(905\) | 10.0622 | + | 45.2808i | 0.334480 | + | 1.50519i | ||||
\(906\) | −29.4718 | − | 18.9404i | −0.979135 | − | 0.629252i | ||||
\(907\) | −15.0681 | + | 2.16647i | −0.500328 | + | 0.0719363i | −0.387859 | − | 0.921719i | \(-0.626785\pi\) |
−0.112469 | + | 0.993655i | \(0.535876\pi\) | |||||||
\(908\) | 6.11261 | − | 2.79154i | 0.202854 | − | 0.0926404i | ||||
\(909\) | −23.1825 | − | 50.7627i | −0.768916 | − | 1.68369i | ||||
\(910\) | 0.224246 | + | 2.95016i | 0.00743367 | + | 0.0977968i | ||||
\(911\) | −6.32615 | − | 4.06557i | −0.209595 | − | 0.134698i | 0.431632 | − | 0.902050i | \(-0.357938\pi\) |
−0.641227 | + | 0.767351i | \(0.721574\pi\) | |||||||
\(912\) | 0.634158 | + | 2.15974i | 0.0209991 | + | 0.0715162i | ||||
\(913\) | −11.0537 | − | 1.58928i | −0.365823 | − | 0.0525975i | ||||
\(914\) | 1.19121 | − | 1.37473i | 0.0394017 | − | 0.0454720i | ||||
\(915\) | 18.9331 | − | 10.4483i | 0.625909 | − | 0.345410i | ||||
\(916\) | 7.39106 | + | 8.52973i | 0.244207 | + | 0.281830i | ||||
\(917\) | −4.13132 | + | 14.0700i | −0.136428 | + | 0.464632i | ||||
\(918\) | −18.8891 | − | 8.62636i | −0.623433 | − | 0.284712i | ||||
\(919\) | 17.8360 | 0.588357 | 0.294178 | − | 0.955751i | \(-0.404954\pi\) | ||||
0.294178 | + | 0.955751i | \(0.404954\pi\) | |||||||
\(920\) | −3.43171 | − | 10.1599i | −0.113140 | − | 0.334962i | ||||
\(921\) | −81.7484 | −2.69370 | ||||||||
\(922\) | 5.50159 | + | 2.51249i | 0.181185 | + | 0.0827445i | ||||
\(923\) | 1.85843 | − | 6.32923i | 0.0611710 | − | 0.208329i | ||||
\(924\) | −5.73837 | − | 6.62243i | −0.188778 | − | 0.217862i | ||||
\(925\) | −19.7705 | − | 42.2878i | −0.650051 | − | 1.39041i | ||||
\(926\) | −21.4224 | + | 24.7228i | −0.703983 | + | 0.812440i | ||||
\(927\) | −25.9806 | − | 3.73545i | −0.853316 | − | 0.122688i | ||||
\(928\) | 0.479987 | + | 1.63469i | 0.0157563 | + | 0.0536612i | ||||
\(929\) | −37.6899 | − | 24.2218i | −1.23656 | − | 0.794692i | −0.251664 | − | 0.967815i | \(-0.580978\pi\) |
−0.984900 | + | 0.173123i | \(0.944614\pi\) | |||||||
\(930\) | −48.9818 | + | 3.72318i | −1.60618 | + | 0.122088i | ||||
\(931\) | −1.83440 | − | 4.01678i | −0.0601201 | − | 0.131645i | ||||
\(932\) | −4.03609 | + | 1.84322i | −0.132207 | + | 0.0603767i | ||||
\(933\) | 17.3058 | − | 2.48820i | 0.566567 | − | 0.0814600i | ||||
\(934\) | 25.5140 | + | 16.3969i | 0.834844 | + | 0.536522i | ||||
\(935\) | 28.7843 | − | 6.39639i | 0.941347 | − | 0.209184i | ||||
\(936\) | 0.652001 | − | 4.53477i | 0.0213113 | − | 0.148224i | ||||
\(937\) | 6.28760 | + | 5.44823i | 0.205407 | + | 0.177986i | 0.751489 | − | 0.659746i | \(-0.229336\pi\) |
−0.546082 | + | 0.837732i | \(0.683881\pi\) | |||||||
\(938\) | 9.97534 | + | 15.5219i | 0.325706 | + | 0.506809i | ||||
\(939\) | −3.87348 | − | 4.47023i | −0.126406 | − | 0.145881i | ||||
\(940\) | −21.2904 | − | 7.83280i | −0.694418 | − | 0.255478i | ||||
\(941\) | −23.5097 | + | 51.4791i | −0.766395 | + | 1.67817i | −0.0319636 | + | 0.999489i | \(0.510176\pi\) |
−0.734432 | + | 0.678683i | \(0.762551\pi\) | |||||||
\(942\) | 34.2948i | 1.11738i | ||||||||
\(943\) | 2.04071 | + | 18.9860i | 0.0664545 | + | 0.618269i | ||||
\(944\) | −7.81760 | −0.254441 | ||||||||
\(945\) | −9.94977 | − | 5.37544i | −0.323666 | − | 0.174863i | ||||
\(946\) | −23.3724 | − | 6.86277i | −0.759903 | − | 0.223128i | ||||
\(947\) | −26.3679 | + | 22.8480i | −0.856843 | + | 0.742459i | −0.967895 | − | 0.251356i | \(-0.919124\pi\) |
0.111052 | + | 0.993815i | \(0.464578\pi\) | |||||||
\(948\) | 10.5501 | + | 16.4162i | 0.342650 | + | 0.533174i | ||||
\(949\) | −11.2875 | + | 13.0264i | −0.366406 | + | 0.422855i | ||||
\(950\) | −3.96811 | − | 1.12675i | −0.128742 | − | 0.0365564i | ||||
\(951\) | 23.0668 | − | 6.77302i | 0.747992 | − | 0.219630i | ||||
\(952\) | 3.65702 | − | 5.69043i | 0.118525 | − | 0.184428i | ||||
\(953\) | 40.3041 | − | 5.79485i | 1.30558 | − | 0.187714i | 0.545810 | − | 0.837909i | \(-0.316222\pi\) |
0.759767 | + | 0.650195i | \(0.225313\pi\) | |||||||
\(954\) | 7.36073 | + | 16.1178i | 0.238312 | + | 0.521832i | ||||
\(955\) | −34.1103 | + | 12.8963i | −1.10378 | + | 0.417314i | ||||
\(956\) | −2.58258 | − | 17.9623i | −0.0835267 | − | 0.580941i | ||||
\(957\) | 6.28832 | − | 9.78482i | 0.203273 | − | 0.316298i | ||||
\(958\) | −11.0889 | − | 37.7653i | −0.358266 | − | 1.22014i | ||||
\(959\) | −1.31470 | + | 9.14397i | −0.0424540 | + | 0.295274i | ||||
\(960\) | 4.29468 | − | 4.33321i | 0.138610 | − | 0.139854i | ||||
\(961\) | 28.4607 | − | 18.2906i | 0.918087 | − | 0.590019i | ||||
\(962\) | −7.27370 | + | 6.30269i | −0.234513 | + | 0.203207i | ||||
\(963\) | −0.162811 | + | 0.554484i | −0.00524652 | + | 0.0178680i | ||||
\(964\) | −7.55301 | + | 16.5388i | −0.243266 | + | 0.532678i | ||||
\(965\) | 21.3006 | + | 1.42787i | 0.685690 | + | 0.0459648i | ||||
\(966\) | 4.15307 | + | 16.2733i | 0.133623 | + | 0.523586i | ||||
\(967\) | − | 12.0094i | − | 0.386198i | −0.981179 | − | 0.193099i | \(-0.938146\pi\) | ||
0.981179 | − | 0.193099i | \(-0.0618538\pi\) | |||||||
\(968\) | 4.31067 | + | 1.96862i | 0.138550 | + | 0.0632737i | ||||
\(969\) | 11.3819 | + | 3.34202i | 0.365639 | + | 0.107361i | ||||
\(970\) | −28.2997 | + | 21.3827i | −0.908648 | + | 0.686558i | ||||
\(971\) | 3.70415 | − | 2.38051i | 0.118872 | − | 0.0763943i | −0.479854 | − | 0.877348i | \(-0.659310\pi\) |
0.598726 | + | 0.800954i | \(0.295674\pi\) | |||||||
\(972\) | −14.2573 | − | 12.3540i | −0.457302 | − | 0.396254i | ||||
\(973\) | −12.8393 | − | 1.84602i | −0.411611 | − | 0.0591807i | ||||
\(974\) | −25.6968 | + | 7.54526i | −0.823379 | + | 0.241766i | ||||
\(975\) | 10.7101 | + | 9.11415i | 0.342997 | + | 0.291886i | ||||
\(976\) | −0.504437 | − | 3.50844i | −0.0161466 | − | 0.112302i | ||||
\(977\) | 0.751824 | − | 0.343346i | 0.0240530 | − | 0.0109846i | −0.403352 | − | 0.915045i | \(-0.632155\pi\) |
0.427405 | + | 0.904060i | \(0.359428\pi\) | |||||||
\(978\) | 24.2667 | − | 11.0822i | 0.775965 | − | 0.354371i | ||||
\(979\) | 2.45938 | + | 17.1054i | 0.0786021 | + | 0.546690i | ||||
\(980\) | −7.12970 | + | 9.61335i | −0.227750 | + | 0.307087i | ||||
\(981\) | 21.7140 | − | 6.37582i | 0.693276 | − | 0.203564i | ||||
\(982\) | −12.9788 | − | 1.86607i | −0.414169 | − | 0.0595485i | ||||
\(983\) | 1.76800 | + | 1.53198i | 0.0563906 | + | 0.0488627i | 0.682600 | − | 0.730792i | \(-0.260849\pi\) |
−0.626210 | + | 0.779655i | \(0.715395\pi\) | |||||||
\(984\) | −9.13902 | + | 5.87329i | −0.291341 | + | 0.187234i | ||||
\(985\) | 6.85192 | + | 9.06840i | 0.218320 | + | 0.288943i | ||||
\(986\) | 8.61482 | + | 2.52954i | 0.274352 | + | 0.0805570i | ||||
\(987\) | 32.3180 | + | 14.7592i | 1.02869 | + | 0.469789i | ||||
\(988\) | 0.850466i | 0.0270569i | ||||||||
\(989\) | 34.1695 | + | 31.8146i | 1.08653 | + | 1.01165i | ||||
\(990\) | −24.8101 | − | 1.66313i | −0.788517 | − | 0.0528577i | ||||
\(991\) | −15.8541 | + | 34.7156i | −0.503621 | + | 1.10278i | 0.471654 | + | 0.881784i | \(0.343657\pi\) |
−0.975275 | + | 0.220993i | \(0.929070\pi\) | |||||||
\(992\) | −2.26845 | + | 7.72564i | −0.0720234 | + | 0.245289i | ||||
\(993\) | −1.70751 | + | 1.47957i | −0.0541863 | + | 0.0469527i | ||||
\(994\) | −6.90934 | + | 4.44036i | −0.219151 | + | 0.140840i | ||||
\(995\) | 0.850728 | + | 0.843163i | 0.0269699 | + | 0.0267301i | ||||
\(996\) | −1.73294 | + | 12.0529i | −0.0549104 | + | 0.381910i | ||||
\(997\) | −3.51930 | − | 11.9856i | −0.111457 | − | 0.379589i | 0.884806 | − | 0.465960i | \(-0.154291\pi\) |
−0.996263 | + | 0.0863714i | \(0.972473\pi\) | |||||||
\(998\) | −4.23943 | + | 6.59668i | −0.134197 | + | 0.208814i | ||||
\(999\) | −5.23546 | − | 36.4134i | −0.165643 | − | 1.15207i |
(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 | 230.2.j.a.29.12 | yes | 120 | |
5.4 | even | 2 | inner | 230.2.j.a.29.1 | ✓ | 120 | |
23.4 | even | 11 | inner | 230.2.j.a.119.1 | yes | 120 | |
115.4 | even | 22 | inner | 230.2.j.a.119.12 | yes | 120 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
230.2.j.a.29.1 | ✓ | 120 | 5.4 | even | 2 | inner | |
230.2.j.a.29.12 | yes | 120 | 1.1 | even | 1 | trivial | |
230.2.j.a.119.1 | yes | 120 | 23.4 | even | 11 | inner | |
230.2.j.a.119.12 | yes | 120 | 115.4 | even | 22 | inner |