Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [300,2,Mod(11,300)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(300, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([5, 5, 8]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("300.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 300 = 2^{2} \cdot 3 \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 300.n (of order \(10\), 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: | \(2.39551206064\) |
Analytic rank: | \(0\) |
Dimension: | \(224\) |
Relative dimension: | \(56\) over \(\Q(\zeta_{10})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 191.1 | ||
Character | \(\chi\) | \(=\) | 300.191 |
Dual form | 300.2.n.a.11.1 |
$q$-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 \(\left(\mathbb{Z}/300\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(151\) | \(277\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(e\left(\frac{1}{5}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.40873 | − | 0.124406i | −0.996123 | − | 0.0879685i | ||||
\(3\) | 0.673811 | + | 1.59561i | 0.389025 | + | 0.921227i | ||||
\(4\) | 1.96905 | + | 0.350510i | 0.984523 | + | 0.175255i | ||||
\(5\) | −2.20342 | + | 0.380687i | −0.985401 | + | 0.170249i | ||||
\(6\) | −0.750715 | − | 2.33161i | −0.306478 | − | 0.951878i | ||||
\(7\) | 0.0822219i | 0.0310770i | 0.999879 | + | 0.0155385i | \(0.00494625\pi\) | ||||
−0.999879 | + | 0.0155385i | \(0.995054\pi\) | |||||||
\(8\) | −2.73025 | − | 0.738736i | −0.965289 | − | 0.261183i | ||||
\(9\) | −2.09196 | + | 2.15028i | −0.697319 | + | 0.716761i | ||||
\(10\) | 3.15139 | − | 0.262166i | 0.996558 | − | 0.0829042i | ||||
\(11\) | 2.26115 | + | 1.64282i | 0.681761 | + | 0.495328i | 0.873941 | − | 0.486031i | \(-0.161556\pi\) |
−0.192180 | + | 0.981360i | \(0.561556\pi\) | |||||||
\(12\) | 0.767488 | + | 3.37801i | 0.221555 | + | 0.975148i | ||||
\(13\) | −3.85618 | + | 2.80168i | −1.06951 | + | 0.777045i | −0.975824 | − | 0.218557i | \(-0.929865\pi\) |
−0.0936864 | + | 0.995602i | \(0.529865\pi\) | |||||||
\(14\) | 0.0102289 | − | 0.115829i | 0.00273380 | − | 0.0309565i | ||||
\(15\) | −2.09212 | − | 3.25930i | −0.540183 | − | 0.841547i | ||||
\(16\) | 3.75429 | + | 1.38034i | 0.938571 | + | 0.345085i | ||||
\(17\) | −3.83252 | − | 1.24526i | −0.929522 | − | 0.302020i | −0.195155 | − | 0.980772i | \(-0.562521\pi\) |
−0.734367 | + | 0.678752i | \(0.762521\pi\) | |||||||
\(18\) | 3.21451 | − | 2.76892i | 0.757668 | − | 0.652640i | ||||
\(19\) | −2.03592 | − | 0.661512i | −0.467073 | − | 0.151761i | 0.0660193 | − | 0.997818i | \(-0.478970\pi\) |
−0.533092 | + | 0.846057i | \(0.678970\pi\) | |||||||
\(20\) | −4.47208 | − | 0.0227314i | −0.999987 | − | 0.00508290i | ||||
\(21\) | −0.131194 | + | 0.0554021i | −0.0286289 | + | 0.0120897i | ||||
\(22\) | −2.98097 | − | 2.59559i | −0.635545 | − | 0.553382i | ||||
\(23\) | 1.93558 | + | 1.40628i | 0.403595 | + | 0.293229i | 0.771004 | − | 0.636830i | \(-0.219755\pi\) |
−0.367408 | + | 0.930060i | \(0.619755\pi\) | |||||||
\(24\) | −0.660938 | − | 4.85419i | −0.134913 | − | 0.990857i | ||||
\(25\) | 4.71015 | − | 1.67763i | 0.942031 | − | 0.335526i | ||||
\(26\) | 5.78086 | − | 3.46707i | 1.13372 | − | 0.679949i | ||||
\(27\) | −4.84060 | − | 1.88907i | −0.931574 | − | 0.363551i | ||||
\(28\) | −0.0288196 | + | 0.161899i | −0.00544639 | + | 0.0305960i | ||||
\(29\) | −3.40204 | + | 1.10539i | −0.631742 | + | 0.205265i | −0.607347 | − | 0.794437i | \(-0.707766\pi\) |
−0.0243955 | + | 0.999702i | \(0.507766\pi\) | |||||||
\(30\) | 2.54176 | + | 4.85175i | 0.464060 | + | 0.885804i | ||||
\(31\) | −2.91747 | − | 0.947944i | −0.523993 | − | 0.170256i | 0.0350636 | − | 0.999385i | \(-0.488837\pi\) |
−0.559057 | + | 0.829129i | \(0.688837\pi\) | |||||||
\(32\) | −5.11706 | − | 2.41159i | −0.904576 | − | 0.426312i | ||||
\(33\) | −1.09772 | + | 4.71486i | −0.191088 | + | 0.820752i | ||||
\(34\) | 5.24407 | + | 2.23103i | 0.899351 | + | 0.382618i | ||||
\(35\) | −0.0313008 | − | 0.181170i | −0.00529081 | − | 0.0306233i | ||||
\(36\) | −4.87285 | + | 3.50076i | −0.812142 | + | 0.583459i | ||||
\(37\) | −7.33089 | + | 5.32620i | −1.20519 | + | 0.875622i | −0.994785 | − | 0.101992i | \(-0.967478\pi\) |
−0.210405 | + | 0.977614i | \(0.567478\pi\) | |||||||
\(38\) | 2.78577 | + | 1.18517i | 0.451912 | + | 0.192261i | ||||
\(39\) | −7.06872 | − | 4.26516i | −1.13190 | − | 0.682972i | ||||
\(40\) | 6.29713 | + | 0.588377i | 0.995663 | + | 0.0930306i | ||||
\(41\) | 4.77346 | + | 6.57011i | 0.745490 | + | 1.02608i | 0.998284 | + | 0.0585585i | \(0.0186504\pi\) |
−0.252794 | + | 0.967520i | \(0.581350\pi\) | |||||||
\(42\) | 0.191710 | − | 0.0617252i | 0.0295815 | − | 0.00952441i | ||||
\(43\) | 8.76981i | 1.33738i | 0.743540 | + | 0.668692i | \(0.233145\pi\) | ||||
−0.743540 | + | 0.668692i | \(0.766855\pi\) | |||||||
\(44\) | 3.87648 | + | 4.02734i | 0.584401 | + | 0.607144i | ||||
\(45\) | 3.79088 | − | 5.53437i | 0.565111 | − | 0.825015i | ||||
\(46\) | −2.55176 | − | 2.22187i | −0.376236 | − | 0.327596i | ||||
\(47\) | −0.650533 | − | 2.00213i | −0.0948900 | − | 0.292041i | 0.892335 | − | 0.451374i | \(-0.149066\pi\) |
−0.987225 | + | 0.159332i | \(0.949066\pi\) | |||||||
\(48\) | 0.327192 | + | 6.92047i | 0.0472261 | + | 0.998884i | ||||
\(49\) | 6.99324 | 0.999034 | ||||||||
\(50\) | −6.84405 | + | 1.77736i | −0.967895 | + | 0.251356i | ||||
\(51\) | −0.595441 | − | 6.95428i | −0.0833785 | − | 0.973795i | ||||
\(52\) | −8.57500 | + | 4.16500i | −1.18914 | + | 0.577582i | ||||
\(53\) | 7.15672 | − | 2.32536i | 0.983051 | − | 0.319413i | 0.226978 | − | 0.973900i | \(-0.427116\pi\) |
0.756073 | + | 0.654487i | \(0.227116\pi\) | |||||||
\(54\) | 6.58409 | + | 3.26339i | 0.895982 | + | 0.444091i | ||||
\(55\) | −5.60766 | − | 2.75904i | −0.756137 | − | 0.372028i | ||||
\(56\) | 0.0607403 | − | 0.224486i | 0.00811676 | − | 0.0299983i | ||||
\(57\) | −0.316312 | − | 3.69428i | −0.0418966 | − | 0.489319i | ||||
\(58\) | 4.93007 | − | 1.13396i | 0.647350 | − | 0.148896i | ||||
\(59\) | 7.56329 | − | 5.49505i | 0.984656 | − | 0.715395i | 0.0259120 | − | 0.999664i | \(-0.491751\pi\) |
0.958744 | + | 0.284269i | \(0.0917510\pi\) | |||||||
\(60\) | −2.97707 | − | 7.15102i | −0.384338 | − | 0.923193i | ||||
\(61\) | −2.43750 | − | 1.77094i | −0.312089 | − | 0.226746i | 0.420703 | − | 0.907198i | \(-0.361783\pi\) |
−0.732792 | + | 0.680452i | \(0.761783\pi\) | |||||||
\(62\) | 3.99200 | + | 1.69835i | 0.506985 | + | 0.215691i | ||||
\(63\) | −0.176800 | − | 0.172005i | −0.0222748 | − | 0.0216706i | ||||
\(64\) | 6.90854 | + | 4.03387i | 0.863567 | + | 0.504234i | ||||
\(65\) | 7.43023 | − | 7.64128i | 0.921606 | − | 0.947784i | ||||
\(66\) | 2.13294 | − | 6.50541i | 0.262547 | − | 0.800760i | ||||
\(67\) | 12.2429 | + | 3.97795i | 1.49571 | + | 0.485984i | 0.938762 | − | 0.344566i | \(-0.111974\pi\) |
0.556943 | + | 0.830550i | \(0.311974\pi\) | |||||||
\(68\) | −7.10993 | − | 3.79531i | −0.862206 | − | 0.460249i | ||||
\(69\) | −0.939662 | + | 4.03599i | −0.113122 | + | 0.485877i | ||||
\(70\) | 0.0215558 | + | 0.259113i | 0.00257641 | + | 0.0309700i | ||||
\(71\) | −1.11371 | − | 3.42765i | −0.132173 | − | 0.406787i | 0.862966 | − | 0.505261i | \(-0.168604\pi\) |
−0.995140 | + | 0.0984739i | \(0.968604\pi\) | |||||||
\(72\) | 7.30006 | − | 4.32541i | 0.860320 | − | 0.509754i | ||||
\(73\) | −1.23678 | − | 0.898571i | −0.144754 | − | 0.105170i | 0.513051 | − | 0.858358i | \(-0.328515\pi\) |
−0.657805 | + | 0.753188i | \(0.728515\pi\) | |||||||
\(74\) | 10.9899 | − | 6.59118i | 1.27755 | − | 0.766209i | ||||
\(75\) | 5.85060 | + | 6.38517i | 0.675570 | + | 0.737296i | ||||
\(76\) | −3.77696 | − | 2.01616i | −0.433247 | − | 0.231269i | ||||
\(77\) | −0.135076 | + | 0.185916i | −0.0153933 | + | 0.0211871i | ||||
\(78\) | 9.42732 | + | 6.88786i | 1.06743 | + | 0.779896i | ||||
\(79\) | 4.51758 | − | 1.46785i | 0.508268 | − | 0.165146i | −0.0436467 | − | 0.999047i | \(-0.513898\pi\) |
0.551914 | + | 0.833901i | \(0.313898\pi\) | |||||||
\(80\) | −8.79776 | − | 1.61227i | −0.983620 | − | 0.180257i | ||||
\(81\) | −0.247436 | − | 8.99660i | −0.0274929 | − | 0.999622i | ||||
\(82\) | −5.90716 | − | 9.84936i | −0.652337 | − | 1.08768i | ||||
\(83\) | −2.96963 | + | 9.13959i | −0.325960 | + | 1.00320i | 0.645046 | + | 0.764144i | \(0.276838\pi\) |
−0.971006 | + | 0.239057i | \(0.923162\pi\) | |||||||
\(84\) | −0.277747 | + | 0.0631043i | −0.0303046 | + | 0.00688524i | ||||
\(85\) | 8.91872 | + | 1.28485i | 0.967371 | + | 0.139361i | ||||
\(86\) | 1.09102 | − | 12.3543i | 0.117648 | − | 1.33220i | ||||
\(87\) | −4.05610 | − | 4.68351i | −0.434860 | − | 0.502125i | ||||
\(88\) | −4.95989 | − | 6.15570i | −0.528726 | − | 0.656199i | ||||
\(89\) | −6.21625 | + | 8.55594i | −0.658922 | + | 0.906928i | −0.999445 | − | 0.0333083i | \(-0.989396\pi\) |
0.340524 | + | 0.940236i | \(0.389396\pi\) | |||||||
\(90\) | −6.02884 | + | 7.32482i | −0.635496 | + | 0.772104i | ||||
\(91\) | −0.230359 | − | 0.317062i | −0.0241482 | − | 0.0332371i | ||||
\(92\) | 3.31832 | + | 3.44747i | 0.345959 | + | 0.359423i | ||||
\(93\) | −0.453274 | − | 5.29389i | −0.0470024 | − | 0.548951i | ||||
\(94\) | 0.667348 | + | 2.90140i | 0.0688317 | + | 0.299256i | ||||
\(95\) | 4.73783 | + | 0.682541i | 0.486091 | + | 0.0700272i | ||||
\(96\) | 0.400025 | − | 9.78979i | 0.0408274 | − | 0.999166i | ||||
\(97\) | −2.56567 | − | 7.89632i | −0.260504 | − | 0.801750i | −0.992695 | − | 0.120650i | \(-0.961502\pi\) |
0.732191 | − | 0.681100i | \(-0.238498\pi\) | |||||||
\(98\) | −9.85159 | − | 0.870003i | −0.995161 | − | 0.0878836i | ||||
\(99\) | −8.26274 | + | 1.42540i | −0.830437 | + | 0.143258i | ||||
\(100\) | 9.86254 | − | 1.65238i | 0.986254 | − | 0.165238i | ||||
\(101\) | 12.0408i | 1.19810i | 0.800711 | + | 0.599050i | \(0.204455\pi\) | ||||
−0.800711 | + | 0.599050i | \(0.795545\pi\) | |||||||
\(102\) | −0.0263401 | + | 9.87079i | −0.00260806 | + | 0.977354i | ||||
\(103\) | 18.4706 | − | 6.00148i | 1.81997 | − | 0.591343i | 0.820151 | − | 0.572147i | \(-0.193889\pi\) |
0.999816 | − | 0.0191961i | \(-0.00611068\pi\) | |||||||
\(104\) | 12.5980 | − | 4.80058i | 1.23534 | − | 0.470736i | ||||
\(105\) | 0.267986 | − | 0.172018i | 0.0261527 | − | 0.0167873i | ||||
\(106\) | −10.3712 | + | 2.38546i | −1.00734 | + | 0.231697i | ||||
\(107\) | 19.5335 | 1.88838 | 0.944190 | − | 0.329402i | \(-0.106847\pi\) | ||||
0.944190 | + | 0.329402i | \(0.106847\pi\) | |||||||
\(108\) | −8.86923 | − | 5.41634i | −0.853442 | − | 0.521187i | ||||
\(109\) | 1.24224 | − | 0.902543i | 0.118985 | − | 0.0864479i | −0.526701 | − | 0.850051i | \(-0.676571\pi\) |
0.645687 | + | 0.763603i | \(0.276571\pi\) | |||||||
\(110\) | 7.55645 | + | 4.58437i | 0.720479 | + | 0.437102i | ||||
\(111\) | −13.4382 | − | 8.10840i | −1.27550 | − | 0.769615i | ||||
\(112\) | −0.113494 | + | 0.308685i | −0.0107242 | + | 0.0291680i | ||||
\(113\) | 9.23389 | + | 12.7094i | 0.868651 | + | 1.19560i | 0.979437 | + | 0.201751i | \(0.0646632\pi\) |
−0.110786 | + | 0.993844i | \(0.535337\pi\) | |||||||
\(114\) | −0.0139925 | + | 5.24360i | −0.00131052 | + | 0.491108i | ||||
\(115\) | −4.80025 | − | 2.36178i | −0.447625 | − | 0.220237i | ||||
\(116\) | −7.08622 | + | 0.984113i | −0.657939 | + | 0.0913726i | ||||
\(117\) | 2.04256 | − | 14.1529i | 0.188834 | − | 1.30843i | ||||
\(118\) | −11.3383 | + | 6.80013i | −1.04377 | + | 0.626003i | ||||
\(119\) | 0.102388 | − | 0.315117i | 0.00938587 | − | 0.0288867i | ||||
\(120\) | 3.30425 | + | 10.4442i | 0.301636 | + | 0.953423i | ||||
\(121\) | −0.985260 | − | 3.03232i | −0.0895691 | − | 0.275665i | ||||
\(122\) | 3.21346 | + | 2.79802i | 0.290933 | + | 0.253321i | ||||
\(123\) | −7.26693 | + | 12.0436i | −0.655237 | + | 1.08594i | ||||
\(124\) | −5.41237 | − | 2.88915i | −0.486045 | − | 0.259453i | ||||
\(125\) | −9.73981 | + | 5.48963i | −0.871156 | + | 0.491007i | ||||
\(126\) | 0.227666 | + | 0.264303i | 0.0202821 | + | 0.0235460i | ||||
\(127\) | −9.60363 | + | 13.2183i | −0.852185 | + | 1.17293i | 0.131193 | + | 0.991357i | \(0.458119\pi\) |
−0.983377 | + | 0.181575i | \(0.941881\pi\) | |||||||
\(128\) | −9.23043 | − | 6.54210i | −0.815863 | − | 0.578246i | ||||
\(129\) | −13.9932 | + | 5.90920i | −1.23203 | + | 0.520276i | ||||
\(130\) | −11.4178 | + | 9.84013i | −1.00141 | + | 0.863037i | ||||
\(131\) | −4.71724 | + | 14.5182i | −0.412147 | + | 1.26846i | 0.502631 | + | 0.864501i | \(0.332366\pi\) |
−0.914778 | + | 0.403957i | \(0.867634\pi\) | |||||||
\(132\) | −3.81406 | + | 8.89902i | −0.331971 | + | 0.774560i | ||||
\(133\) | 0.0543908 | − | 0.167398i | 0.00471628 | − | 0.0145152i | ||||
\(134\) | −16.7520 | − | 7.12695i | −1.44716 | − | 0.615675i | ||||
\(135\) | 11.3850 | + | 2.31966i | 0.979868 | + | 0.199644i | ||||
\(136\) | 9.54382 | + | 6.23109i | 0.818376 | + | 0.534312i | ||||
\(137\) | −12.4775 | − | 17.1739i | −1.06603 | − | 1.46726i | −0.874034 | − | 0.485866i | \(-0.838504\pi\) |
−0.191994 | − | 0.981396i | \(-0.561496\pi\) | |||||||
\(138\) | 1.82583 | − | 5.56873i | 0.155425 | − | 0.474042i | ||||
\(139\) | 0.484944 | − | 0.667468i | 0.0411324 | − | 0.0566139i | −0.787955 | − | 0.615732i | \(-0.788860\pi\) |
0.829088 | + | 0.559118i | \(0.188860\pi\) | |||||||
\(140\) | 0.00186902 | − | 0.367703i | 0.000157961 | − | 0.0310766i | ||||
\(141\) | 2.75629 | − | 2.38706i | 0.232122 | − | 0.201027i | ||||
\(142\) | 1.14250 | + | 4.96719i | 0.0958764 | + | 0.416838i | ||||
\(143\) | −13.3220 | −1.11404 | ||||||||
\(144\) | −10.8219 | + | 5.18516i | −0.901827 | + | 0.432097i | ||||
\(145\) | 7.07532 | − | 3.73075i | 0.587573 | − | 0.309822i | ||||
\(146\) | 1.63050 | + | 1.41971i | 0.134941 | + | 0.117496i | ||||
\(147\) | 4.71212 | + | 11.1585i | 0.388649 | + | 0.920337i | ||||
\(148\) | −16.3017 | + | 7.91799i | −1.33999 | + | 0.650854i | ||||
\(149\) | − | 2.64853i | − | 0.216976i | −0.994098 | − | 0.108488i | \(-0.965399\pi\) | ||
0.994098 | − | 0.108488i | \(-0.0346010\pi\) | |||||||
\(150\) | −7.44757 | − | 9.72284i | −0.608092 | − | 0.793867i | ||||
\(151\) | 14.9712i | 1.21834i | 0.793039 | + | 0.609171i | \(0.208498\pi\) | ||||
−0.793039 | + | 0.609171i | \(0.791502\pi\) | |||||||
\(152\) | 5.06990 | + | 3.31010i | 0.411223 | + | 0.268485i | ||||
\(153\) | 10.6951 | − | 5.63597i | 0.864650 | − | 0.455641i | ||||
\(154\) | 0.213414 | − | 0.245101i | 0.0171974 | − | 0.0197508i | ||||
\(155\) | 6.78930 | + | 0.978078i | 0.545329 | + | 0.0785611i | ||||
\(156\) | −12.4237 | − | 10.8760i | −0.994689 | − | 0.870773i | ||||
\(157\) | −6.48646 | −0.517676 | −0.258838 | − | 0.965921i | \(-0.583340\pi\) | ||||
−0.258838 | + | 0.965921i | \(0.583340\pi\) | |||||||
\(158\) | −6.54667 | + | 1.50579i | −0.520825 | + | 0.119794i | ||||
\(159\) | 8.53265 | + | 9.85249i | 0.676683 | + | 0.781354i | ||||
\(160\) | 12.1931 | + | 3.36575i | 0.963949 | + | 0.266086i | ||||
\(161\) | −0.115627 | + | 0.159147i | −0.00911268 | + | 0.0125425i | ||||
\(162\) | −0.770663 | + | 12.7046i | −0.0605490 | + | 0.998165i | ||||
\(163\) | −12.4960 | − | 17.1993i | −0.978763 | − | 1.34715i | −0.937493 | − | 0.348004i | \(-0.886860\pi\) |
−0.0412703 | − | 0.999148i | \(-0.513140\pi\) | |||||||
\(164\) | 7.09628 | + | 14.6100i | 0.554126 | + | 1.14085i | ||||
\(165\) | 0.623845 | − | 10.8067i | 0.0485663 | − | 0.841302i | ||||
\(166\) | 5.32044 | − | 12.5058i | 0.412946 | − | 0.970637i | ||||
\(167\) | 6.22266 | − | 19.1514i | 0.481524 | − | 1.48198i | −0.355430 | − | 0.934703i | \(-0.615666\pi\) |
0.836953 | − | 0.547274i | \(-0.184334\pi\) | |||||||
\(168\) | 0.399121 | − | 0.0543436i | 0.0307928 | − | 0.00419270i | ||||
\(169\) | 3.00348 | − | 9.24377i | 0.231037 | − | 0.711059i | ||||
\(170\) | −12.4042 | − | 2.91955i | −0.951361 | − | 0.223919i | ||||
\(171\) | 5.68150 | − | 2.99396i | 0.434475 | − | 0.228954i | ||||
\(172\) | −3.07391 | + | 17.2682i | −0.234383 | + | 1.31669i | ||||
\(173\) | −2.57632 | + | 3.54600i | −0.195874 | + | 0.269597i | −0.895645 | − | 0.444770i | \(-0.853285\pi\) |
0.699771 | + | 0.714367i | \(0.253285\pi\) | |||||||
\(174\) | 5.13130 | + | 7.10241i | 0.389003 | + | 0.538432i | ||||
\(175\) | 0.137938 | + | 0.387278i | 0.0104271 | + | 0.0292755i | ||||
\(176\) | 6.22134 | + | 9.28876i | 0.468951 | + | 0.700167i | ||||
\(177\) | 13.8642 | + | 8.36545i | 1.04210 | + | 0.628786i | ||||
\(178\) | 9.82144 | − | 11.2797i | 0.736148 | − | 0.845447i | ||||
\(179\) | 5.06138 | + | 15.5773i | 0.378305 | + | 1.16430i | 0.941222 | + | 0.337789i | \(0.109679\pi\) |
−0.562917 | + | 0.826514i | \(0.690321\pi\) | |||||||
\(180\) | 9.40427 | − | 9.56868i | 0.700953 | − | 0.713207i | ||||
\(181\) | −1.35207 | + | 4.16123i | −0.100498 | + | 0.309302i | −0.988648 | − | 0.150253i | \(-0.951991\pi\) |
0.888149 | + | 0.459555i | \(0.151991\pi\) | |||||||
\(182\) | 0.285070 | + | 0.475313i | 0.0211308 | + | 0.0352326i | ||||
\(183\) | 1.18333 | − | 5.08258i | 0.0874741 | − | 0.375715i | ||||
\(184\) | −4.24574 | − | 5.26937i | −0.313000 | − | 0.388463i | ||||
\(185\) | 14.1254 | − | 14.5267i | 1.03852 | − | 1.06802i | ||||
\(186\) | −0.0200512 | + | 7.51405i | −0.00147022 | + | 0.550957i | ||||
\(187\) | −6.62015 | − | 9.11185i | −0.484113 | − | 0.666324i | ||||
\(188\) | −0.579161 | − | 4.17031i | −0.0422397 | − | 0.304151i | ||||
\(189\) | 0.155323 | − | 0.398004i | 0.0112981 | − | 0.0289505i | ||||
\(190\) | −6.58942 | − | 1.55093i | −0.478047 | − | 0.112516i | ||||
\(191\) | −13.2471 | + | 9.62455i | −0.958523 | + | 0.696408i | −0.952807 | − | 0.303576i | \(-0.901819\pi\) |
−0.00571595 | + | 0.999984i | \(0.501819\pi\) | |||||||
\(192\) | −1.78144 | + | 13.7414i | −0.128564 | + | 0.991701i | ||||
\(193\) | 8.27842 | 0.595894 | 0.297947 | − | 0.954582i | \(-0.403698\pi\) | ||||
0.297947 | + | 0.954582i | \(0.403698\pi\) | |||||||
\(194\) | 2.63199 | + | 11.4430i | 0.188966 | + | 0.821558i | ||||
\(195\) | 17.1991 | + | 6.70698i | 1.23165 | + | 0.480297i | ||||
\(196\) | 13.7700 | + | 2.45120i | 0.983572 | + | 0.175086i | ||||
\(197\) | −11.6056 | + | 3.77088i | −0.826864 | + | 0.268664i | −0.691724 | − | 0.722162i | \(-0.743148\pi\) |
−0.135140 | + | 0.990827i | \(0.543148\pi\) | |||||||
\(198\) | 11.8173 | − | 0.980066i | 0.839820 | − | 0.0696503i | ||||
\(199\) | − | 21.9186i | − | 1.55377i | −0.629642 | − | 0.776885i | \(-0.716799\pi\) | ||
0.629642 | − | 0.776885i | \(-0.283201\pi\) | |||||||
\(200\) | −14.0992 | + | 1.10079i | −0.996966 | + | 0.0778377i | ||||
\(201\) | 1.90212 | + | 22.2153i | 0.134165 | + | 1.56694i | ||||
\(202\) | 1.49795 | − | 16.9622i | 0.105395 | − | 1.19346i | ||||
\(203\) | −0.0908872 | − | 0.279722i | −0.00637903 | − | 0.0196326i | ||||
\(204\) | 1.26509 | − | 13.9020i | 0.0885744 | − | 0.973336i | ||||
\(205\) | −13.0191 | − | 12.6595i | −0.909295 | − | 0.884181i | ||||
\(206\) | −26.7668 | + | 6.15660i | −1.86493 | + | 0.428951i | ||||
\(207\) | −7.07304 | + | 1.22016i | −0.491610 | + | 0.0848072i | ||||
\(208\) | −18.3444 | + | 5.19545i | −1.27196 | + | 0.360240i | ||||
\(209\) | −3.51678 | − | 4.84043i | −0.243261 | − | 0.334819i | ||||
\(210\) | −0.398920 | + | 0.208988i | −0.0275281 | + | 0.0144216i | ||||
\(211\) | −0.373295 | + | 0.513796i | −0.0256987 | + | 0.0353712i | −0.821673 | − | 0.569959i | \(-0.806959\pi\) |
0.795974 | + | 0.605330i | \(0.206959\pi\) | |||||||
\(212\) | 14.9070 | − | 2.07024i | 1.02381 | − | 0.142184i | ||||
\(213\) | 4.71877 | − | 4.08664i | 0.323325 | − | 0.280012i | ||||
\(214\) | −27.5175 | − | 2.43010i | −1.88106 | − | 0.166118i | ||||
\(215\) | −3.33856 | − | 19.3236i | −0.227688 | − | 1.31786i | ||||
\(216\) | 11.8205 | + | 8.73355i | 0.804286 | + | 0.594243i | ||||
\(217\) | 0.0779418 | − | 0.239880i | 0.00529103 | − | 0.0162841i | ||||
\(218\) | −1.86227 | + | 1.11690i | −0.126129 | + | 0.0756458i | ||||
\(219\) | 0.600416 | − | 2.57888i | 0.0405724 | − | 0.174265i | ||||
\(220\) | −10.0747 | − | 7.39821i | −0.679235 | − | 0.498787i | ||||
\(221\) | 18.2677 | − | 5.93553i | 1.22882 | − | 0.399267i | ||||
\(222\) | 17.9221 | + | 13.0943i | 1.20285 | + | 0.878835i | ||||
\(223\) | 5.21478 | − | 7.17752i | 0.349207 | − | 0.480643i | −0.597895 | − | 0.801574i | \(-0.703996\pi\) |
0.947102 | + | 0.320932i | \(0.103996\pi\) | |||||||
\(224\) | 0.198285 | − | 0.420734i | 0.0132485 | − | 0.0281115i | ||||
\(225\) | −6.24606 | + | 13.6377i | −0.416404 | + | 0.909180i | ||||
\(226\) | −11.4269 | − | 19.0528i | −0.760109 | − | 1.26737i | ||||
\(227\) | −7.25355 | − | 5.27002i | −0.481435 | − | 0.349783i | 0.320446 | − | 0.947267i | \(-0.396167\pi\) |
−0.801881 | + | 0.597484i | \(0.796167\pi\) | |||||||
\(228\) | 0.672048 | − | 7.38508i | 0.0445075 | − | 0.489089i | ||||
\(229\) | 1.33779 | + | 4.11730i | 0.0884039 | + | 0.272079i | 0.985479 | − | 0.169800i | \(-0.0543121\pi\) |
−0.897075 | + | 0.441879i | \(0.854312\pi\) | |||||||
\(230\) | 6.46844 | + | 3.92429i | 0.426516 | + | 0.258760i | ||||
\(231\) | −0.387665 | − | 0.0902563i | −0.0255065 | − | 0.00593843i | ||||
\(232\) | 10.1050 | − | 0.504781i | 0.663426 | − | 0.0331405i | ||||
\(233\) | 1.93299 | + | 0.628067i | 0.126635 | + | 0.0411461i | 0.371649 | − | 0.928373i | \(-0.378793\pi\) |
−0.245014 | + | 0.969520i | \(0.578793\pi\) | |||||||
\(234\) | −4.63812 | + | 19.6835i | −0.303203 | + | 1.28675i | ||||
\(235\) | 2.19559 | + | 4.16390i | 0.143224 | + | 0.271623i | ||||
\(236\) | 16.8185 | − | 8.16900i | 1.09479 | − | 0.531757i | ||||
\(237\) | 5.38612 | + | 6.21925i | 0.349866 | + | 0.403984i | ||||
\(238\) | −0.183439 | + | 0.431177i | −0.0118906 | + | 0.0279491i | ||||
\(239\) | −9.84559 | − | 7.15324i | −0.636858 | − | 0.462704i | 0.221911 | − | 0.975067i | \(-0.428770\pi\) |
−0.858769 | + | 0.512362i | \(0.828770\pi\) | |||||||
\(240\) | −3.35548 | − | 15.1242i | −0.216595 | − | 0.976262i | ||||
\(241\) | −16.5433 | + | 12.0194i | −1.06565 | + | 0.774238i | −0.975125 | − | 0.221657i | \(-0.928854\pi\) |
−0.0905221 | + | 0.995894i | \(0.528854\pi\) | |||||||
\(242\) | 1.01073 | + | 4.39429i | 0.0649720 | + | 0.282476i | ||||
\(243\) | 14.1884 | − | 6.45682i | 0.910183 | − | 0.414205i | ||||
\(244\) | −4.17881 | − | 4.34144i | −0.267521 | − | 0.277932i | ||||
\(245\) | −15.4091 | + | 2.66224i | −0.984449 | + | 0.170084i | ||||
\(246\) | 11.7355 | − | 16.0622i | 0.748225 | − | 1.02409i | ||||
\(247\) | 9.70422 | − | 3.15309i | 0.617465 | − | 0.200626i | ||||
\(248\) | 7.26515 | + | 4.74337i | 0.461337 | + | 0.301204i | ||||
\(249\) | −16.5842 | + | 1.41998i | −1.05098 | + | 0.0899874i | ||||
\(250\) | 14.4037 | − | 6.52171i | 0.910971 | − | 0.412469i | ||||
\(251\) | −0.315067 | −0.0198868 | −0.00994342 | − | 0.999951i | \(-0.503165\pi\) | ||||
−0.00994342 | + | 0.999951i | \(0.503165\pi\) | |||||||
\(252\) | −0.287839 | − | 0.400655i | −0.0181321 | − | 0.0252389i | ||||
\(253\) | 2.06636 | + | 6.35960i | 0.129911 | + | 0.399825i | ||||
\(254\) | 15.1734 | − | 17.4262i | 0.952062 | − | 1.09342i | ||||
\(255\) | 3.95942 | + | 15.0966i | 0.247948 | + | 0.945383i | ||||
\(256\) | 12.1893 | + | 10.3644i | 0.761832 | + | 0.647774i | ||||
\(257\) | 3.29754i | 0.205695i | 0.994697 | + | 0.102847i | \(0.0327953\pi\) | ||||
−0.994697 | + | 0.102847i | \(0.967205\pi\) | |||||||
\(258\) | 20.4478 | − | 6.58363i | 1.27303 | − | 0.409879i | ||||
\(259\) | −0.437931 | − | 0.602760i | −0.0272117 | − | 0.0374537i | ||||
\(260\) | 17.3088 | − | 12.4417i | 1.07345 | − | 0.771599i | ||||
\(261\) | 4.74001 | − | 9.62777i | 0.293399 | − | 0.595944i | ||||
\(262\) | 8.45147 | − | 19.8653i | 0.522134 | − | 1.22729i | ||||
\(263\) | 3.85860 | − | 2.80344i | 0.237931 | − | 0.172867i | −0.462430 | − | 0.886656i | \(-0.653022\pi\) |
0.700361 | + | 0.713789i | \(0.253022\pi\) | |||||||
\(264\) | 6.48008 | − | 12.0618i | 0.398821 | − | 0.742354i | ||||
\(265\) | −14.8840 | + | 7.84822i | −0.914320 | + | 0.482112i | ||||
\(266\) | −0.0974473 | + | 0.229052i | −0.00597488 | + | 0.0140441i | ||||
\(267\) | −17.8405 | − | 4.15364i | −1.09182 | − | 0.254199i | ||||
\(268\) | 22.7125 | + | 12.1240i | 1.38739 | + | 0.740592i | ||||
\(269\) | 1.52190 | + | 0.494495i | 0.0927918 | + | 0.0301499i | 0.355045 | − | 0.934849i | \(-0.384466\pi\) |
−0.262253 | + | 0.964999i | \(0.584466\pi\) | |||||||
\(270\) | −15.7499 | − | 4.68415i | −0.958507 | − | 0.285068i | ||||
\(271\) | −18.1696 | + | 5.90365i | −1.10372 | + | 0.358621i | −0.803534 | − | 0.595259i | \(-0.797050\pi\) |
−0.300189 | + | 0.953880i | \(0.597050\pi\) | |||||||
\(272\) | −12.6695 | − | 9.96525i | −0.768200 | − | 0.604232i | ||||
\(273\) | 0.350690 | − | 0.581204i | 0.0212247 | − | 0.0351761i | ||||
\(274\) | 15.4410 | + | 25.7456i | 0.932822 | + | 1.55535i | ||||
\(275\) | 13.4064 | + | 3.94456i | 0.808436 | + | 0.237866i | ||||
\(276\) | −3.26489 | + | 7.61770i | −0.196523 | + | 0.458532i | ||||
\(277\) | 23.3083 | + | 16.9344i | 1.40046 | + | 1.01749i | 0.994625 | + | 0.103545i | \(0.0330187\pi\) |
0.405834 | + | 0.913947i | \(0.366981\pi\) | |||||||
\(278\) | −0.766193 | + | 0.879953i | −0.0459532 | + | 0.0527761i | ||||
\(279\) | 8.14157 | − | 4.29033i | 0.487423 | − | 0.256855i | ||||
\(280\) | −0.0483775 | + | 0.517762i | −0.00289111 | + | 0.0309422i | ||||
\(281\) | −14.4037 | − | 4.68005i | −0.859253 | − | 0.279188i | −0.153936 | − | 0.988081i | \(-0.549195\pi\) |
−0.705316 | + | 0.708893i | \(0.749195\pi\) | |||||||
\(282\) | −4.17984 | + | 3.01982i | −0.248906 | + | 0.179828i | ||||
\(283\) | −7.00016 | − | 2.27449i | −0.416116 | − | 0.135204i | 0.0934737 | − | 0.995622i | \(-0.470203\pi\) |
−0.509590 | + | 0.860417i | \(0.670203\pi\) | |||||||
\(284\) | −0.991523 | − | 7.13957i | −0.0588361 | − | 0.423656i | ||||
\(285\) | 2.10334 | + | 8.01965i | 0.124591 | + | 0.475043i | ||||
\(286\) | 18.7671 | + | 1.65734i | 1.10972 | + | 0.0980007i | ||||
\(287\) | −0.540207 | + | 0.392483i | −0.0318874 | + | 0.0231676i | ||||
\(288\) | 15.8902 | − | 5.95819i | 0.936342 | − | 0.351089i | ||||
\(289\) | −0.615764 | − | 0.447379i | −0.0362214 | − | 0.0263164i | ||||
\(290\) | −10.4314 | + | 4.37541i | −0.612550 | + | 0.256933i | ||||
\(291\) | 10.8707 | − | 9.41445i | 0.637251 | − | 0.551885i | ||||
\(292\) | −2.12031 | − | 2.20283i | −0.124082 | − | 0.128911i | ||||
\(293\) | − | 10.2253i | − | 0.597370i | −0.954352 | − | 0.298685i | \(-0.903452\pi\) | ||
0.954352 | − | 0.298685i | \(-0.0965480\pi\) | |||||||
\(294\) | −5.24993 | − | 16.3055i | −0.306182 | − | 0.950958i | ||||
\(295\) | −14.5732 | + | 14.9872i | −0.848487 | + | 0.872587i | ||||
\(296\) | 23.9498 | − | 9.12627i | 1.39205 | − | 0.530454i | ||||
\(297\) | −7.84191 | − | 12.2237i | −0.455034 | − | 0.709290i | ||||
\(298\) | −0.329494 | + | 3.73107i | −0.0190871 | + | 0.216135i | ||||
\(299\) | −11.4039 | −0.659502 | ||||||||
\(300\) | 9.28204 | + | 14.6234i | 0.535899 | + | 0.844282i | ||||
\(301\) | −0.721071 | −0.0415618 | ||||||||
\(302\) | 1.86252 | − | 21.0904i | 0.107176 | − | 1.21362i | ||||
\(303\) | −19.2124 | + | 8.11320i | −1.10372 | + | 0.466091i | ||||
\(304\) | −6.73033 | − | 5.29377i | −0.386011 | − | 0.303619i | ||||
\(305\) | 6.04501 | + | 2.97422i | 0.346136 | + | 0.170303i | ||||
\(306\) | −15.7677 | + | 6.60902i | −0.901380 | + | 0.377813i | ||||
\(307\) | − | 7.46889i | − | 0.426272i | −0.977023 | − | 0.213136i | \(-0.931632\pi\) | ||
0.977023 | − | 0.213136i | \(-0.0683677\pi\) | |||||||
\(308\) | −0.331136 | + | 0.318731i | −0.0188682 | + | 0.0181614i | ||||
\(309\) | 22.0218 | + | 25.4281i | 1.25277 | + | 1.44656i | ||||
\(310\) | −9.44261 | − | 2.22248i | −0.536304 | − | 0.126228i | ||||
\(311\) | 1.58882 | + | 1.15434i | 0.0900937 | + | 0.0654569i | 0.631920 | − | 0.775033i | \(-0.282267\pi\) |
−0.541827 | + | 0.840490i | \(0.682267\pi\) | |||||||
\(312\) | 16.1486 | + | 16.8669i | 0.914232 | + | 0.954899i | ||||
\(313\) | 7.60934 | − | 5.52851i | 0.430105 | − | 0.312490i | −0.351586 | − | 0.936156i | \(-0.614357\pi\) |
0.781691 | + | 0.623666i | \(0.214357\pi\) | |||||||
\(314\) | 9.13768 | + | 0.806956i | 0.515669 | + | 0.0455392i | ||||
\(315\) | 0.455046 | + | 0.311694i | 0.0256390 | + | 0.0175619i | ||||
\(316\) | 9.40982 | − | 1.30681i | 0.529344 | − | 0.0735138i | ||||
\(317\) | 15.7657 | + | 5.12259i | 0.885490 | + | 0.287713i | 0.716235 | − | 0.697859i | \(-0.245864\pi\) |
0.169255 | + | 0.985572i | \(0.445864\pi\) | |||||||
\(318\) | −10.7945 | − | 14.9410i | −0.605325 | − | 0.837851i | ||||
\(319\) | −9.50845 | − | 3.08948i | −0.532371 | − | 0.172978i | ||||
\(320\) | −16.7581 | − | 6.25833i | −0.936805 | − | 0.349851i | ||||
\(321\) | 13.1619 | + | 31.1680i | 0.734627 | + | 1.73963i | ||||
\(322\) | 0.182686 | − | 0.209810i | 0.0101807 | − | 0.0116923i | ||||
\(323\) | 6.97896 | + | 5.07051i | 0.388320 | + | 0.282131i | ||||
\(324\) | 2.66618 | − | 17.8014i | 0.148121 | − | 0.988969i | ||||
\(325\) | −13.4630 | + | 19.6656i | −0.746793 | + | 1.09085i | ||||
\(326\) | 15.4638 | + | 25.7838i | 0.856462 | + | 1.42803i | ||||
\(327\) | 2.27715 | + | 1.37400i | 0.125927 | + | 0.0759821i | ||||
\(328\) | −8.17918 | − | 21.4644i | −0.451619 | − | 1.18517i | ||||
\(329\) | 0.164619 | − | 0.0534881i | 0.00907576 | − | 0.00294889i | ||||
\(330\) | −2.22325 | + | 15.1462i | −0.122386 | + | 0.833769i | ||||
\(331\) | 21.0227 | + | 6.83070i | 1.15551 | + | 0.375449i | 0.823218 | − | 0.567726i | \(-0.192177\pi\) |
0.332296 | + | 0.943175i | \(0.392177\pi\) | |||||||
\(332\) | −9.05086 | + | 16.9554i | −0.496731 | + | 0.930548i | ||||
\(333\) | 3.88306 | − | 26.9057i | 0.212790 | − | 1.47442i | ||||
\(334\) | −11.1486 | + | 26.2050i | −0.610024 | + | 1.43387i | ||||
\(335\) | −28.4906 | − | 4.10441i | −1.55661 | − | 0.224248i | ||||
\(336\) | −0.569015 | + | 0.0269023i | −0.0310423 | + | 0.00146764i | ||||
\(337\) | −17.9878 | + | 13.0689i | −0.979859 | + | 0.711909i | −0.957677 | − | 0.287845i | \(-0.907061\pi\) |
−0.0221815 | + | 0.999754i | \(0.507061\pi\) | |||||||
\(338\) | −5.38108 | + | 12.6483i | −0.292692 | + | 0.687978i | ||||
\(339\) | −14.0573 | + | 23.2974i | −0.763488 | + | 1.26534i | ||||
\(340\) | 17.1110 | + | 5.65602i | 0.927975 | + | 0.306741i | ||||
\(341\) | −5.03953 | − | 6.93631i | −0.272906 | − | 0.375622i | ||||
\(342\) | −8.37617 | + | 3.51087i | −0.452932 | + | 0.189846i | ||||
\(343\) | 1.15055i | 0.0621239i | ||||||||
\(344\) | 6.47858 | − | 23.9438i | 0.349301 | − | 1.29096i | ||||
\(345\) | 0.534021 | − | 9.25072i | 0.0287507 | − | 0.498042i | ||||
\(346\) | 4.07048 | − | 4.67485i | 0.218830 | − | 0.251321i | ||||
\(347\) | −0.624538 | − | 1.92213i | −0.0335270 | − | 0.103185i | 0.932893 | − | 0.360155i | \(-0.117276\pi\) |
−0.966420 | + | 0.256969i | \(0.917276\pi\) | |||||||
\(348\) | −6.34504 | − | 10.6437i | −0.340130 | − | 0.570565i | ||||
\(349\) | −5.02428 | −0.268944 | −0.134472 | − | 0.990917i | \(-0.542934\pi\) | ||||
−0.134472 | + | 0.990917i | \(0.542934\pi\) | |||||||
\(350\) | −0.146138 | − | 0.562731i | −0.00781139 | − | 0.0300792i | ||||
\(351\) | 23.9588 | − | 6.27723i | 1.27882 | − | 0.335054i | ||||
\(352\) | −7.60861 | − | 13.8593i | −0.405540 | − | 0.738705i | ||||
\(353\) | 8.70024 | − | 2.82688i | 0.463067 | − | 0.150460i | −0.0681864 | − | 0.997673i | \(-0.521721\pi\) |
0.531253 | + | 0.847213i | \(0.321721\pi\) | |||||||
\(354\) | −18.4902 | − | 13.5095i | −0.982744 | − | 0.718020i | ||||
\(355\) | 3.75884 | + | 7.12860i | 0.199499 | + | 0.378347i | ||||
\(356\) | −15.2390 | + | 14.6682i | −0.807667 | + | 0.777412i | ||||
\(357\) | 0.571795 | − | 0.0489583i | 0.0302626 | − | 0.00259115i | ||||
\(358\) | −5.19220 | − | 22.5739i | −0.274416 | − | 1.19307i | ||||
\(359\) | 10.7840 | − | 7.83505i | 0.569159 | − | 0.413518i | −0.265641 | − | 0.964072i | \(-0.585583\pi\) |
0.834800 | + | 0.550554i | \(0.185583\pi\) | |||||||
\(360\) | −14.4385 | + | 12.3097i | −0.760975 | + | 0.648781i | ||||
\(361\) | −11.6639 | − | 8.47434i | −0.613891 | − | 0.446018i | ||||
\(362\) | 2.42238 | − | 5.69385i | 0.127317 | − | 0.299262i | ||||
\(363\) | 4.17452 | − | 3.61530i | 0.219106 | − | 0.189754i | ||||
\(364\) | −0.342454 | − | 0.705053i | −0.0179495 | − | 0.0369548i | ||||
\(365\) | 3.06722 | + | 1.50911i | 0.160546 | + | 0.0789903i | ||||
\(366\) | −2.29930 | + | 7.01277i | −0.120186 | + | 0.366564i | ||||
\(367\) | 24.7528 | + | 8.04268i | 1.29209 | + | 0.419824i | 0.872822 | − | 0.488040i | \(-0.162288\pi\) |
0.419265 | + | 0.907864i | \(0.362288\pi\) | |||||||
\(368\) | 5.32556 | + | 7.95132i | 0.277614 | + | 0.414491i | ||||
\(369\) | −24.1135 | − | 3.48008i | −1.25530 | − | 0.181166i | ||||
\(370\) | −21.7061 | + | 18.7069i | −1.12845 | + | 0.972523i | ||||
\(371\) | 0.191195 | + | 0.588439i | 0.00992637 | + | 0.0305502i | ||||
\(372\) | 0.963042 | − | 10.5828i | 0.0499314 | − | 0.548692i | ||||
\(373\) | 8.12792 | + | 5.90528i | 0.420848 | + | 0.305764i | 0.777979 | − | 0.628291i | \(-0.216245\pi\) |
−0.357131 | + | 0.934054i | \(0.616245\pi\) | |||||||
\(374\) | 8.19243 | + | 13.6597i | 0.423621 | + | 0.706328i | ||||
\(375\) | −15.3221 | − | 11.8420i | −0.791231 | − | 0.611518i | ||||
\(376\) | 0.297069 | + | 5.94690i | 0.0153202 | + | 0.306688i | ||||
\(377\) | 10.0219 | − | 13.7940i | 0.516154 | − | 0.710426i | ||||
\(378\) | −0.268322 | + | 0.541357i | −0.0138010 | + | 0.0278444i | ||||
\(379\) | −19.9962 | + | 6.49717i | −1.02714 | + | 0.333737i | −0.773658 | − | 0.633604i | \(-0.781575\pi\) |
−0.253480 | + | 0.967341i | \(0.581575\pi\) | |||||||
\(380\) | 9.08977 | + | 3.00461i | 0.466296 | + | 0.154133i | ||||
\(381\) | −27.5623 | − | 6.41706i | −1.41206 | − | 0.328756i | ||||
\(382\) | 19.8589 | − | 11.9104i | 1.01607 | − | 0.609388i | ||||
\(383\) | −5.78085 | + | 17.7916i | −0.295387 | + | 0.909109i | 0.687704 | + | 0.725992i | \(0.258619\pi\) |
−0.983091 | + | 0.183118i | \(0.941381\pi\) | |||||||
\(384\) | 4.21909 | − | 19.1363i | 0.215304 | − | 0.976547i | ||||
\(385\) | 0.226853 | − | 0.461073i | 0.0115615 | − | 0.0234984i | ||||
\(386\) | −11.6621 | − | 1.02989i | −0.593584 | − | 0.0524199i | ||||
\(387\) | −18.8576 | − | 18.3461i | −0.958585 | − | 0.932583i | ||||
\(388\) | −2.28418 | − | 16.4475i | −0.115962 | − | 0.834996i | ||||
\(389\) | 11.8655 | − | 16.3314i | 0.601603 | − | 0.828036i | −0.394251 | − | 0.919003i | \(-0.628996\pi\) |
0.995854 | + | 0.0909670i | \(0.0289958\pi\) | |||||||
\(390\) | −23.3945 | − | 11.5880i | −1.18463 | − | 0.586782i | ||||
\(391\) | −5.66695 | − | 7.79988i | −0.286590 | − | 0.394457i | ||||
\(392\) | −19.0933 | − | 5.16616i | −0.964357 | − | 0.260930i | ||||
\(393\) | −26.3439 | + | 2.25562i | −1.32887 | + | 0.113781i | ||||
\(394\) | 16.8183 | − | 3.86835i | 0.847292 | − | 0.194885i | ||||
\(395\) | −9.39535 | + | 4.95408i | −0.472732 | + | 0.249267i | ||||
\(396\) | −16.7693 | − | 0.0894982i | −0.842691 | − | 0.00449745i | ||||
\(397\) | −1.91674 | − | 5.89913i | −0.0961986 | − | 0.296069i | 0.891366 | − | 0.453285i | \(-0.149748\pi\) |
−0.987564 | + | 0.157216i | \(0.949748\pi\) | |||||||
\(398\) | −2.72682 | + | 30.8775i | −0.136683 | + | 1.54775i | ||||
\(399\) | 0.303751 | − | 0.0260078i | 0.0152066 | − | 0.00130202i | ||||
\(400\) | 19.9990 | + | 0.203313i | 0.999948 | + | 0.0101657i | ||||
\(401\) | 20.5073i | 1.02408i | 0.858960 | + | 0.512042i | \(0.171111\pi\) | ||||
−0.858960 | + | 0.512042i | \(0.828889\pi\) | |||||||
\(402\) | 0.0841427 | − | 31.5320i | 0.00419666 | − | 1.57267i | ||||
\(403\) | 13.9061 | − | 4.51837i | 0.692713 | − | 0.225076i | ||||
\(404\) | −4.22041 | + | 23.7088i | −0.209973 | + | 1.17956i | ||||
\(405\) | 3.97010 | + | 19.7291i | 0.197276 | + | 0.980348i | ||||
\(406\) | 0.0932364 | + | 0.405360i | 0.00462724 | + | 0.0201177i | ||||
\(407\) | −25.3262 | −1.25537 | ||||||||
\(408\) | −3.51168 | + | 19.4268i | −0.173854 | + | 0.961771i | ||||
\(409\) | 2.02333 | − | 1.47003i | 0.100047 | − | 0.0726885i | −0.536637 | − | 0.843813i | \(-0.680306\pi\) |
0.636684 | + | 0.771125i | \(0.280306\pi\) | |||||||
\(410\) | 16.7655 | + | 19.4535i | 0.827990 | + | 0.960742i | ||||
\(411\) | 18.9953 | − | 31.4813i | 0.936970 | − | 1.55286i | ||||
\(412\) | 38.4731 | − | 5.34304i | 1.89544 | − | 0.263233i | ||||
\(413\) | 0.451814 | + | 0.621868i | 0.0222323 | + | 0.0306001i | ||||
\(414\) | 10.1158 | − | 0.838952i | 0.497165 | − | 0.0412322i | ||||
\(415\) | 3.06403 | − | 21.2689i | 0.150408 | − | 1.04405i | ||||
\(416\) | 26.4887 | − | 5.03683i | 1.29872 | − | 0.246951i | ||||
\(417\) | 1.39178 | + | 0.324035i | 0.0681558 | + | 0.0158681i | ||||
\(418\) | 4.35201 | + | 7.25637i | 0.212864 | + | 0.354921i | ||||
\(419\) | 4.74511 | − | 14.6040i | 0.231814 | − | 0.713450i | −0.765714 | − | 0.643181i | \(-0.777614\pi\) |
0.997528 | − | 0.0702689i | \(-0.0223857\pi\) | |||||||
\(420\) | 0.587971 | − | 0.244780i | 0.0286900 | − | 0.0119440i | ||||
\(421\) | 5.77668 | + | 17.7788i | 0.281538 | + | 0.866486i | 0.987415 | + | 0.158151i | \(0.0505533\pi\) |
−0.705877 | + | 0.708335i | \(0.749447\pi\) | |||||||
\(422\) | 0.589792 | − | 0.677361i | 0.0287106 | − | 0.0329734i | ||||
\(423\) | 5.66604 | + | 2.78955i | 0.275492 | + | 0.135632i | ||||
\(424\) | −21.2575 | + | 1.06189i | −1.03235 | + | 0.0515698i | ||||
\(425\) | −20.1408 | + | 0.564180i | −0.976974 | + | 0.0273668i | ||||
\(426\) | −7.15588 | + | 5.16994i | −0.346704 | + | 0.250484i | ||||
\(427\) | 0.145610 | − | 0.200416i | 0.00704658 | − | 0.00969879i | ||||
\(428\) | 38.4625 | + | 6.84670i | 1.85915 | + | 0.330948i | ||||
\(429\) | −8.97653 | − | 21.2568i | −0.433391 | − | 1.02629i | ||||
\(430\) | 2.29915 | + | 27.6371i | 0.110875 | + | 1.33278i | ||||
\(431\) | 3.05905 | − | 9.41480i | 0.147349 | − | 0.453495i | −0.849956 | − | 0.526853i | \(-0.823372\pi\) |
0.997306 | + | 0.0733583i | \(0.0233717\pi\) | |||||||
\(432\) | −15.5654 | − | 13.7738i | −0.748893 | − | 0.662691i | ||||
\(433\) | −1.93188 | + | 5.94571i | −0.0928401 | + | 0.285733i | −0.986685 | − | 0.162644i | \(-0.947998\pi\) |
0.893845 | + | 0.448377i | \(0.147998\pi\) | |||||||
\(434\) | −0.139642 | + | 0.328230i | −0.00670301 | + | 0.0157555i | ||||
\(435\) | 10.7203 | + | 8.77564i | 0.513997 | + | 0.420760i | ||||
\(436\) | 2.76239 | − | 1.34173i | 0.132294 | − | 0.0642572i | ||||
\(437\) | −3.01042 | − | 4.14348i | −0.144008 | − | 0.198210i | ||||
\(438\) | −1.16665 | + | 3.55826i | −0.0557449 | + | 0.170020i | ||||
\(439\) | 12.2442 | − | 16.8527i | 0.584384 | − | 0.804335i | −0.409784 | − | 0.912183i | \(-0.634396\pi\) |
0.994167 | + | 0.107847i | \(0.0343958\pi\) | |||||||
\(440\) | 13.2721 | + | 11.6754i | 0.632724 | + | 0.556605i | ||||
\(441\) | −14.6296 | + | 15.0374i | −0.696645 | + | 0.716069i | ||||
\(442\) | −26.4727 | + | 6.08895i | −1.25918 | + | 0.289622i | ||||
\(443\) | −16.6148 | −0.789392 | −0.394696 | − | 0.918812i | \(-0.629150\pi\) | ||||
−0.394696 | + | 0.918812i | \(0.629150\pi\) | |||||||
\(444\) | −23.6183 | − | 20.6760i | −1.12088 | − | 0.981241i | ||||
\(445\) | 10.4399 | − | 21.2188i | 0.494899 | − | 1.00587i | ||||
\(446\) | −8.23915 | + | 9.46245i | −0.390135 | + | 0.448060i | ||||
\(447\) | 4.22603 | − | 1.78461i | 0.199885 | − | 0.0844093i | ||||
\(448\) | −0.331672 | + | 0.568033i | −0.0156701 | + | 0.0268371i | ||||
\(449\) | − | 6.28383i | − | 0.296552i | −0.988946 | − | 0.148276i | \(-0.952628\pi\) | ||
0.988946 | − | 0.148276i | \(-0.0473725\pi\) | |||||||
\(450\) | 10.4956 | − | 18.4348i | 0.494769 | − | 0.869025i | ||||
\(451\) | 22.6979i | 1.06880i | ||||||||
\(452\) | 13.7272 | + | 28.2619i | 0.645673 | + | 1.32933i | ||||
\(453\) | −23.8883 | + | 10.0878i | −1.12237 | + | 0.473965i | ||||
\(454\) | 9.56268 | + | 8.32642i | 0.448799 | + | 0.390778i | ||||
\(455\) | 0.628280 | + | 0.610928i | 0.0294542 | + | 0.0286407i | ||||
\(456\) | −1.86548 | + | 10.3200i | −0.0873593 | + | 0.483277i | ||||
\(457\) | 36.2884 | 1.69750 | 0.848750 | − | 0.528794i | \(-0.177355\pi\) | ||||
0.848750 | + | 0.528794i | \(0.177355\pi\) | |||||||
\(458\) | −1.37237 | − | 5.96660i | −0.0641268 | − | 0.278801i | ||||
\(459\) | 16.1993 | + | 13.2677i | 0.756119 | + | 0.619283i | ||||
\(460\) | −8.62408 | − | 6.33298i | −0.402100 | − | 0.295277i | ||||
\(461\) | 17.2404 | − | 23.7294i | 0.802965 | − | 1.10519i | −0.189406 | − | 0.981899i | \(-0.560656\pi\) |
0.992371 | − | 0.123288i | \(-0.0393439\pi\) | |||||||
\(462\) | 0.534887 | + | 0.175375i | 0.0248852 | + | 0.00815917i | ||||
\(463\) | 11.7805 | + | 16.2144i | 0.547485 | + | 0.753549i | 0.989668 | − | 0.143376i | \(-0.0457958\pi\) |
−0.442183 | + | 0.896925i | \(0.645796\pi\) | |||||||
\(464\) | −14.2980 | − | 0.546025i | −0.663769 | − | 0.0253486i | ||||
\(465\) | 3.01407 | + | 11.4921i | 0.139774 | + | 0.532934i | ||||
\(466\) | −2.64493 | − | 1.12525i | −0.122524 | − | 0.0521264i | ||||
\(467\) | −4.60747 | + | 14.1803i | −0.213208 | + | 0.656188i | 0.786067 | + | 0.618141i | \(0.212114\pi\) |
−0.999276 | + | 0.0380475i | \(0.987886\pi\) | |||||||
\(468\) | 8.98260 | − | 27.1517i | 0.415221 | − | 1.25509i | ||||
\(469\) | −0.327075 | + | 1.00663i | −0.0151029 | + | 0.0464820i | ||||
\(470\) | −2.57498 | − | 6.13896i | −0.118775 | − | 0.283169i | ||||
\(471\) | −4.37065 | − | 10.3499i | −0.201389 | − | 0.476897i | ||||
\(472\) | −24.7091 | + | 9.41559i | −1.13733 | + | 0.433388i | ||||
\(473\) | −14.4072 | + | 19.8298i | −0.662444 | + | 0.911776i | ||||
\(474\) | −6.81388 | − | 9.43132i | −0.312972 | − | 0.433195i | ||||
\(475\) | −10.6993 | + | 0.299706i | −0.490917 | + | 0.0137514i | ||||
\(476\) | 0.312058 | − | 0.584592i | 0.0143031 | − | 0.0267947i | ||||
\(477\) | −9.97136 | + | 20.2535i | −0.456557 | + | 0.927345i | ||||
\(478\) | 12.9799 | + | 11.3018i | 0.593686 | + | 0.516934i | ||||
\(479\) | 0.851191 | + | 2.61970i | 0.0388919 | + | 0.119697i | 0.968618 | − | 0.248556i | \(-0.0799560\pi\) |
−0.929726 | + | 0.368253i | \(0.879956\pi\) | |||||||
\(480\) | 2.84542 | + | 21.7233i | 0.129875 | + | 0.991530i | ||||
\(481\) | 13.3469 | − | 41.0775i | 0.608566 | − | 1.87297i | ||||
\(482\) | 24.8003 | − | 14.8740i | 1.12962 | − | 0.677493i | ||||
\(483\) | −0.331847 | − | 0.0772608i | −0.0150996 | − | 0.00351549i | ||||
\(484\) | −0.877164 | − | 6.31612i | −0.0398711 | − | 0.287096i | ||||
\(485\) | 8.65929 | + | 16.4222i | 0.393198 | + | 0.745695i | ||||
\(486\) | −20.7908 | + | 7.33080i | −0.943092 | + | 0.332532i | ||||
\(487\) | 14.5777 | + | 20.0645i | 0.660580 | + | 0.909211i | 0.999500 | − | 0.0316045i | \(-0.0100617\pi\) |
−0.338920 | + | 0.940815i | \(0.610062\pi\) | |||||||
\(488\) | 5.34671 | + | 6.63579i | 0.242034 | + | 0.300388i | ||||
\(489\) | 19.0234 | − | 31.5279i | 0.860270 | − | 1.42574i | ||||
\(490\) | 22.0384 | − | 1.83339i | 0.995595 | − | 0.0828241i | ||||
\(491\) | 12.2246 | − | 8.88168i | 0.551688 | − | 0.400825i | −0.276720 | − | 0.960951i | \(-0.589247\pi\) |
0.828407 | + | 0.560126i | \(0.189247\pi\) | |||||||
\(492\) | −18.5303 | + | 21.1673i | −0.835412 | + | 0.954295i | ||||
\(493\) | 14.4149 | 0.649213 | ||||||||
\(494\) | −14.0629 | + | 3.23459i | −0.632720 | + | 0.145531i | ||||
\(495\) | 17.6637 | − | 6.28628i | 0.793924 | − | 0.282547i | ||||
\(496\) | −9.64453 | − | 7.58596i | −0.433052 | − | 0.340619i | ||||
\(497\) | 0.281828 | − | 0.0915715i | 0.0126417 | − | 0.00410754i | ||||
\(498\) | 23.5393 | + | 0.0628145i | 1.05482 | + | 0.00281478i | ||||
\(499\) | 30.5698i | 1.36849i | 0.729251 | + | 0.684246i | \(0.239869\pi\) | ||||
−0.729251 | + | 0.684246i | \(0.760131\pi\) | |||||||
\(500\) | −21.1023 | + | 7.39543i | −0.943724 | + | 0.330734i | ||||
\(501\) | 34.7510 | − | 2.97546i | 1.55256 | − | 0.132934i | ||||
\(502\) | 0.443844 | + | 0.0391963i | 0.0198097 | + | 0.00174942i | ||||
\(503\) | −10.7048 | − | 32.9460i | −0.477303 | − | 1.46899i | −0.842826 | − | 0.538186i | \(-0.819110\pi\) |
0.365523 | − | 0.930802i | \(-0.380890\pi\) | |||||||
\(504\) | 0.355643 | + | 0.600225i | 0.0158416 | + | 0.0267361i | ||||
\(505\) | −4.58377 | − | 26.5309i | −0.203975 | − | 1.18061i | ||||
\(506\) | −2.11977 | − | 9.21603i | −0.0942353 | − | 0.409703i | ||||
\(507\) | 16.7732 | − | 1.43616i | 0.744926 | − | 0.0637822i | ||||
\(508\) | −23.5431 | + | 22.6612i | −1.04456 | + | 1.00543i | ||||
\(509\) | −5.64708 | − | 7.77254i | −0.250303 | − | 0.344512i | 0.665315 | − | 0.746563i | \(-0.268297\pi\) |
−0.915617 | + | 0.402051i | \(0.868297\pi\) | |||||||
\(510\) | −3.69965 | − | 21.7596i | −0.163823 | − | 0.963530i | ||||
\(511\) | 0.0738822 | − | 0.101690i | 0.00326836 | − | 0.00449851i | ||||
\(512\) | −15.8821 | − | 16.1171i | −0.701895 | − | 0.712280i | ||||
\(513\) | 8.60546 | + | 7.04811i | 0.379940 | + | 0.311182i | ||||
\(514\) | 0.410234 | − | 4.64534i | 0.0180947 | − | 0.204897i | ||||
\(515\) | −38.4140 | + | 20.2553i | −1.69272 | + | 0.892557i | ||||
\(516\) | −29.6245 | + | 6.73072i | −1.30415 | + | 0.296304i | ||||
\(517\) | 1.81819 | − | 5.59582i | 0.0799641 | − | 0.246104i | ||||
\(518\) | 0.541939 | + | 0.903607i | 0.0238114 | + | 0.0397022i | ||||
\(519\) | −7.39399 | − | 1.72147i | −0.324560 | − | 0.0755642i | ||||
\(520\) | −25.9313 | + | 15.3736i | −1.13716 | + | 0.674178i | ||||
\(521\) | −6.92987 | + | 2.25165i | −0.303603 | + | 0.0986467i | −0.456857 | − | 0.889540i | \(-0.651025\pi\) |
0.153254 | + | 0.988187i | \(0.451025\pi\) | |||||||
\(522\) | −7.87516 | + | 12.9732i | −0.344686 | + | 0.567823i | ||||
\(523\) | −2.74254 | + | 3.77479i | −0.119923 | + | 0.165060i | −0.864758 | − | 0.502189i | \(-0.832528\pi\) |
0.744835 | + | 0.667249i | \(0.232528\pi\) | |||||||
\(524\) | −14.3772 | + | 26.9335i | −0.628072 | + | 1.17660i | ||||
\(525\) | −0.525001 | + | 0.481048i | −0.0229129 | + | 0.0209947i | ||||
\(526\) | −5.78449 | + | 3.46925i | −0.252216 | + | 0.151267i | ||||
\(527\) | 10.0008 | + | 7.26602i | 0.435643 | + | 0.316513i | ||||
\(528\) | −10.6293 | + | 16.1857i | −0.462579 | + | 0.704393i | ||||
\(529\) | −5.33856 | − | 16.4304i | −0.232111 | − | 0.714365i | ||||
\(530\) | 21.9440 | − | 9.20436i | 0.953186 | − | 0.399812i | ||||
\(531\) | −4.00616 | + | 27.7586i | −0.173852 | + | 1.20462i | ||||
\(532\) | 0.165772 | − | 0.310549i | 0.00718715 | − | 0.0134640i | ||||
\(533\) | −36.8146 | − | 11.9618i | −1.59462 | − | 0.518123i | ||||
\(534\) | 24.6158 | + | 8.07084i | 1.06523 | + | 0.349259i | ||||
\(535\) | −43.0407 | + | 7.43617i | −1.86081 | + | 0.321494i | ||||
\(536\) | −30.4875 | − | 19.9051i | −1.31686 | − | 0.859768i | ||||
\(537\) | −21.4449 | + | 18.5722i | −0.925417 | + | 0.801448i | ||||
\(538\) | −2.08243 | − | 0.885944i | −0.0897798 | − | 0.0381957i | ||||
\(539\) | 15.8127 | + | 11.4886i | 0.681103 | + | 0.494850i | ||||
\(540\) | 21.6046 | + | 8.55808i | 0.929714 | + | 0.368281i | ||||
\(541\) | −1.99675 | + | 1.45073i | −0.0858471 | + | 0.0623716i | −0.629881 | − | 0.776692i | \(-0.716896\pi\) |
0.544034 | + | 0.839063i | \(0.316896\pi\) | |||||||
\(542\) | 26.3305 | − | 6.05625i | 1.13099 | − | 0.260138i | ||||
\(543\) | −7.55074 | + | 0.646511i | −0.324033 | + | 0.0277445i | ||||
\(544\) | 16.6082 | + | 15.6145i | 0.712069 | + | 0.669467i | ||||
\(545\) | −2.39360 | + | 2.46159i | −0.102531 | + | 0.105443i | ||||
\(546\) | −0.566333 | + | 0.775132i | −0.0242368 | + | 0.0331726i | ||||
\(547\) | 16.6404 | − | 5.40680i | 0.711493 | − | 0.231178i | 0.0691620 | − | 0.997605i | \(-0.477967\pi\) |
0.642331 | + | 0.766427i | \(0.277967\pi\) | |||||||
\(548\) | −18.5492 | − | 38.1896i | −0.792384 | − | 1.63138i | ||||
\(549\) | 8.90717 | − | 1.53657i | 0.380149 | − | 0.0655791i | ||||
\(550\) | −18.3953 | − | 7.22467i | −0.784377 | − | 0.308061i | ||||
\(551\) | 7.65751 | 0.326221 | ||||||||
\(552\) | 5.54705 | − | 10.3251i | 0.236098 | − | 0.439466i | ||||
\(553\) | 0.120690 | + | 0.371444i | 0.00513224 | + | 0.0157954i | ||||
\(554\) | −30.7283 | − | 26.7558i | −1.30552 | − | 1.13674i | ||||
\(555\) | 32.6968 | + | 12.7505i | 1.38790 | + | 0.541228i | ||||
\(556\) | 1.18883 | − | 1.14430i | 0.0504177 | − | 0.0485291i | ||||
\(557\) | 30.9896i | 1.31307i | 0.754295 | + | 0.656535i | \(0.227979\pi\) | ||||
−0.754295 | + | 0.656535i | \(0.772021\pi\) | |||||||
\(558\) | −12.0030 | + | 5.03106i | −0.508129 | + | 0.212982i | ||||
\(559\) | −24.5702 | − | 33.8179i | −1.03921 | − | 1.43035i | ||||
\(560\) | 0.132564 | − | 0.723369i | 0.00560184 | − | 0.0305679i | ||||
\(561\) | 10.0782 | − | 16.7029i | 0.425504 | − | 0.705195i | ||||
\(562\) | 19.7087 | + | 8.38484i | 0.831362 | + | 0.353693i | ||||
\(563\) | 3.93582 | − | 2.85954i | 0.165875 | − | 0.120515i | −0.501751 | − | 0.865012i | \(-0.667311\pi\) |
0.667626 | + | 0.744497i | \(0.267311\pi\) | |||||||
\(564\) | 6.26396 | − | 3.73412i | 0.263760 | − | 0.157235i | ||||
\(565\) | −25.1845 | − | 24.4889i | −1.05952 | − | 1.03025i | ||||
\(566\) | 9.57838 | + | 4.07501i | 0.402609 | + | 0.171285i | ||||
\(567\) | 0.739718 | − | 0.0203447i | 0.0310652 | − | 0.000854395i | ||||
\(568\) | 0.508582 | + | 10.1811i | 0.0213396 | + | 0.427189i | ||||
\(569\) | 20.6253 | + | 6.70156i | 0.864656 | + | 0.280944i | 0.707572 | − | 0.706641i | \(-0.249791\pi\) |
0.157084 | + | 0.987585i | \(0.449791\pi\) | |||||||
\(570\) | −1.96534 | − | 11.5592i | −0.0823190 | − | 0.484161i | ||||
\(571\) | 0.104477 | − | 0.0339467i | 0.00437223 | − | 0.00142062i | −0.306830 | − | 0.951764i | \(-0.599268\pi\) |
0.311202 | + | 0.950344i | \(0.399268\pi\) | |||||||
\(572\) | −26.2317 | − | 4.66950i | −1.09680 | − | 0.195242i | ||||
\(573\) | −24.2831 | − | 14.6520i | −1.01444 | − | 0.612097i | ||||
\(574\) | 0.809834 | − | 0.485698i | 0.0338018 | − | 0.0202727i | ||||
\(575\) | 11.4761 | + | 3.37661i | 0.478585 | + | 0.140814i | ||||
\(576\) | −23.1263 | + | 6.41663i | −0.963597 | + | 0.267360i | ||||
\(577\) | 10.6652 | + | 7.74875i | 0.444000 | + | 0.322585i | 0.787222 | − | 0.616669i | \(-0.211518\pi\) |
−0.343222 | + | 0.939254i | \(0.611518\pi\) | |||||||
\(578\) | 0.811789 | + | 0.706841i | 0.0337660 | + | 0.0294007i | ||||
\(579\) | 5.57810 | + | 13.2092i | 0.231818 | + | 0.548954i | ||||
\(580\) | 15.2393 | − | 4.86605i | 0.632777 | − | 0.202052i | ||||
\(581\) | −0.751475 | − | 0.244169i | −0.0311764 | − | 0.0101298i | ||||
\(582\) | −16.4851 | + | 11.9100i | −0.683329 | + | 0.493687i | ||||
\(583\) | 20.0025 | + | 6.49921i | 0.828420 | + | 0.269170i | ||||
\(584\) | 2.71290 | + | 3.36698i | 0.112261 | + | 0.139326i | ||||
\(585\) | 0.887194 | + | 31.9623i | 0.0366810 | + | 1.32148i | ||||
\(586\) | −1.27209 | + | 14.4047i | −0.0525497 | + | 0.595054i | ||||
\(587\) | −6.42275 | + | 4.66640i | −0.265095 | + | 0.192603i | −0.712390 | − | 0.701783i | \(-0.752387\pi\) |
0.447295 | + | 0.894386i | \(0.352387\pi\) | |||||||
\(588\) | 5.36722 | + | 23.6232i | 0.221341 | + | 0.974206i | ||||
\(589\) | 5.31267 | + | 3.85988i | 0.218905 | + | 0.159044i | ||||
\(590\) | 22.3943 | − | 19.2999i | 0.921958 | − | 0.794564i | ||||
\(591\) | −13.8368 | − | 15.9771i | −0.569172 | − | 0.657212i | ||||
\(592\) | −34.8742 | + | 9.87696i | −1.43332 | + | 0.405940i | ||||
\(593\) | − | 23.1318i | − | 0.949910i | −0.880010 | − | 0.474955i | \(-0.842464\pi\) | ||
0.880010 | − | 0.474955i | \(-0.157536\pi\) | |||||||
\(594\) | 9.52644 | + | 18.1955i | 0.390875 | + | 0.746569i | ||||
\(595\) | −0.105643 | + | 0.733314i | −0.00433092 | + | 0.0300630i | ||||
\(596\) | 0.928338 | − | 5.21509i | 0.0380262 | − | 0.213618i | ||||
\(597\) | 34.9736 | − | 14.7690i | 1.43138 | − | 0.604456i | ||||
\(598\) | 16.0650 | + | 1.41871i | 0.656945 | + | 0.0580154i | ||||
\(599\) | 13.8053 | 0.564071 | 0.282035 | − | 0.959404i | \(-0.408990\pi\) | ||||
0.282035 | + | 0.959404i | \(0.408990\pi\) | |||||||
\(600\) | −11.2567 | − | 21.7552i | −0.459551 | − | 0.888151i | ||||
\(601\) | 29.5640 | 1.20594 | 0.602970 | − | 0.797764i | \(-0.293984\pi\) | ||||
0.602970 | + | 0.797764i | \(0.293984\pi\) | |||||||
\(602\) | 1.01579 | + | 0.0897057i | 0.0414007 | + | 0.00365613i | ||||
\(603\) | −34.1653 | + | 18.0039i | −1.39132 | + | 0.733177i | ||||
\(604\) | −5.24757 | + | 29.4790i | −0.213520 | + | 1.19949i | ||||
\(605\) | 3.32531 | + | 6.30641i | 0.135193 | + | 0.256392i | ||||
\(606\) | 28.0744 | − | 9.03918i | 1.14045 | − | 0.367192i | ||||
\(607\) | 36.6312i | 1.48682i | 0.668838 | + | 0.743408i | \(0.266792\pi\) | ||||
−0.668838 | + | 0.743408i | \(0.733208\pi\) | |||||||
\(608\) | 8.82264 | + | 8.29480i | 0.357805 | + | 0.336398i | ||||
\(609\) | 0.385087 | − | 0.333500i | 0.0156045 | − | 0.0135141i | ||||
\(610\) | −8.14578 | − | 4.94191i | −0.329813 | − | 0.200092i | ||||
\(611\) | 8.11790 | + | 5.89800i | 0.328415 | + | 0.238607i | ||||
\(612\) | 23.0347 | − | 7.34873i | 0.931121 | − | 0.297055i | ||||
\(613\) | −15.4549 | + | 11.2286i | −0.624217 | + | 0.453520i | −0.854392 | − | 0.519629i | \(-0.826070\pi\) |
0.230175 | + | 0.973149i | \(0.426070\pi\) | |||||||
\(614\) | −0.929177 | + | 10.5217i | −0.0374985 | + | 0.424619i | ||||
\(615\) | 11.4273 | − | 29.3036i | 0.460793 | − | 1.18164i | ||||
\(616\) | 0.506133 | − | 0.407811i | 0.0203927 | − | 0.0164312i | ||||
\(617\) | 19.8963 | + | 6.46469i | 0.800994 | + | 0.260259i | 0.680779 | − | 0.732489i | \(-0.261642\pi\) |
0.120215 | + | 0.992748i | \(0.461642\pi\) | |||||||
\(618\) | −27.8593 | − | 38.5610i | −1.12067 | − | 1.55115i | ||||
\(619\) | 24.5117 | + | 7.96433i | 0.985208 | + | 0.320114i | 0.756940 | − | 0.653485i | \(-0.226694\pi\) |
0.228269 | + | 0.973598i | \(0.426694\pi\) | |||||||
\(620\) | 13.0256 | + | 4.30560i | 0.523121 | + | 0.172917i | ||||
\(621\) | −6.71280 | − | 10.4637i | −0.269375 | − | 0.419892i | ||||
\(622\) | −2.09461 | − | 1.82382i | −0.0839863 | − | 0.0731285i | ||||
\(623\) | −0.703486 | − | 0.511112i | −0.0281846 | − | 0.0204773i | ||||
\(624\) | −20.6506 | − | 25.7699i | −0.826687 | − | 1.03162i | ||||
\(625\) | 19.3711 | − | 15.8038i | 0.774844 | − | 0.632152i | ||||
\(626\) | −11.4073 | + | 6.84153i | −0.455927 | + | 0.273443i | ||||
\(627\) | 5.35380 | − | 8.87295i | 0.213810 | − | 0.354351i | ||||
\(628\) | −12.7721 | − | 2.27357i | −0.509664 | − | 0.0907253i | ||||
\(629\) | 34.7283 | − | 11.2839i | 1.38471 | − | 0.449919i | ||||
\(630\) | −0.602261 | − | 0.495703i | −0.0239947 | − | 0.0197493i | ||||
\(631\) | 9.50638 | + | 3.08881i | 0.378443 | + | 0.122964i | 0.492061 | − | 0.870561i | \(-0.336244\pi\) |
−0.113617 | + | 0.993525i | \(0.536244\pi\) | |||||||
\(632\) | −13.4185 | + | 0.670302i | −0.533759 | + | 0.0266632i | ||||
\(633\) | −1.07135 | − | 0.249432i | −0.0425823 | − | 0.00991404i | ||||
\(634\) | −21.5724 | − | 9.17770i | −0.856748 | − | 0.364493i | ||||
\(635\) | 16.1289 | − | 32.7814i | 0.640054 | − | 1.30089i | ||||
\(636\) | 13.3478 | + | 22.3908i | 0.529274 | + | 0.887853i | ||||
\(637\) | −26.9672 | + | 19.5928i | −1.06848 | + | 0.776294i | ||||
\(638\) | 13.0105 | + | 5.53516i | 0.515091 | + | 0.219139i | ||||
\(639\) | 9.70026 | + | 4.77570i | 0.383736 | + | 0.188924i | ||||
\(640\) | 22.8291 | + | 10.9011i | 0.902398 | + | 0.430904i | ||||
\(641\) | −18.6448 | − | 25.6623i | −0.736424 | − | 1.01360i | −0.998816 | − | 0.0486391i | \(-0.984512\pi\) |
0.262393 | − | 0.964961i | \(-0.415488\pi\) | |||||||
\(642\) | −14.6641 | − | 45.5447i | −0.578747 | − | 1.79751i | ||||
\(643\) | − | 7.49503i | − | 0.295575i | −0.989019 | − | 0.147788i | \(-0.952785\pi\) | ||
0.989019 | − | 0.147788i | \(-0.0472152\pi\) | |||||||
\(644\) | −0.283457 | + | 0.272839i | −0.0111698 | + | 0.0107514i | ||||
\(645\) | 28.5834 | − | 18.3475i | 1.12547 | − | 0.722432i | ||||
\(646\) | −9.20068 | − | 8.01121i | −0.361996 | − | 0.315197i | ||||
\(647\) | 6.63326 | + | 20.4151i | 0.260780 | + | 0.802600i | 0.992636 | + | 0.121139i | \(0.0386548\pi\) |
−0.731855 | + | 0.681460i | \(0.761345\pi\) | |||||||
\(648\) | −5.97055 | + | 24.7458i | −0.234545 | + | 0.972105i | ||||
\(649\) | 26.1291 | 1.02566 | ||||||||
\(650\) | 21.4123 | − | 26.0286i | 0.839858 | − | 1.02093i | ||||
\(651\) | 0.435274 | − | 0.0372691i | 0.0170597 | − | 0.00146069i | ||||
\(652\) | −18.5767 | − | 38.2462i | −0.727520 | − | 1.49784i | ||||
\(653\) | 13.4876 | − | 4.38240i | 0.527812 | − | 0.171496i | −0.0329758 | − | 0.999456i | \(-0.510498\pi\) |
0.560788 | + | 0.827960i | \(0.310498\pi\) | |||||||
\(654\) | −3.03695 | − | 2.21888i | −0.118754 | − | 0.0867651i | ||||
\(655\) | 4.86720 | − | 33.7855i | 0.190177 | − | 1.32011i | ||||
\(656\) | 8.85196 | + | 31.2551i | 0.345611 | + | 1.22031i | ||||
\(657\) | 4.51946 | − | 0.779649i | 0.176321 | − | 0.0304170i | ||||
\(658\) | −0.238559 | + | 0.0548706i | −0.00929998 | + | 0.00213908i | ||||
\(659\) | −27.7018 | + | 20.1265i | −1.07911 | + | 0.784017i | −0.977527 | − | 0.210810i | \(-0.932390\pi\) |
−0.101580 | + | 0.994827i | \(0.532390\pi\) | |||||||
\(660\) | 5.01625 | − | 21.0603i | 0.195257 | − | 0.819770i | ||||
\(661\) | −25.8902 | − | 18.8103i | −1.00701 | − | 0.731636i | −0.0434305 | − | 0.999056i | \(-0.513829\pi\) |
−0.963580 | + | 0.267421i | \(0.913829\pi\) | |||||||
\(662\) | −28.7656 | − | 12.2380i | −1.11801 | − | 0.475643i | ||||
\(663\) | 21.7798 | + | 25.1487i | 0.845856 | + | 0.976695i | ||||
\(664\) | 14.8596 | − | 22.7596i | 0.576664 | − | 0.883244i | ||||
\(665\) | −0.0561198 | + | 0.389554i | −0.00217623 | + | 0.0151062i | ||||
\(666\) | −8.81741 | + | 37.4198i | −0.341668 | + | 1.44999i | ||||
\(667\) | −8.13938 | − | 2.64465i | −0.315158 | − | 0.102401i | ||||
\(668\) | 18.9654 | − | 35.5288i | 0.733795 | − | 1.37465i | ||||
\(669\) | 14.9663 | + | 3.48446i | 0.578631 | + | 0.134717i | ||||
\(670\) | 39.6250 | + | 9.32642i | 1.53085 | + | 0.360311i | ||||
\(671\) | −2.60219 | − | 8.00872i | −0.100457 | − | 0.309173i | ||||
\(672\) | 0.804935 | + | 0.0328908i | 0.0310511 | + | 0.00126879i | ||||
\(673\) | 4.52179 | + | 3.28527i | 0.174302 | + | 0.126638i | 0.671516 | − | 0.740990i | \(-0.265644\pi\) |
−0.497214 | + | 0.867628i | \(0.665644\pi\) | |||||||
\(674\) | 26.9658 | − | 16.1728i | 1.03869 | − | 0.622952i | ||||
\(675\) | −25.9691 | − | 0.777050i | −0.999553 | − | 0.0299087i | ||||
\(676\) | 9.15403 | − | 17.1487i | 0.352078 | − | 0.659564i | ||||
\(677\) | 6.37681 | − | 8.77693i | 0.245081 | − | 0.337325i | −0.668700 | − | 0.743532i | \(-0.733149\pi\) |
0.913781 | + | 0.406207i | \(0.133149\pi\) | |||||||
\(678\) | 22.7013 | − | 31.0710i | 0.871838 | − | 1.19327i | ||||
\(679\) | 0.649251 | − | 0.210954i | 0.0249160 | − | 0.00809569i | ||||
\(680\) | −23.4012 | − | 10.0965i | −0.897394 | − | 0.387184i | ||||
\(681\) | 3.52137 | − | 15.1249i | 0.134939 | − | 0.579586i | ||||
\(682\) | 6.23642 | + | 10.3983i | 0.238805 | + | 0.398173i | ||||
\(683\) | 13.1133 | − | 40.3586i | 0.501766 | − | 1.54428i | −0.304374 | − | 0.952553i | \(-0.598447\pi\) |
0.806140 | − | 0.591725i | \(-0.201553\pi\) | |||||||
\(684\) | 12.2366 | − | 3.90382i | 0.467876 | − | 0.149266i | ||||
\(685\) | 34.0312 | + | 33.0912i | 1.30026 | + | 1.26435i | ||||
\(686\) | 0.143136 | − | 1.62082i | 0.00546495 | − | 0.0618831i | ||||
\(687\) | −5.66820 | + | 4.90889i | −0.216255 | + | 0.187286i | ||||
\(688\) | −12.1053 | + | 32.9244i | −0.461511 | + | 1.25523i | ||||
\(689\) | −21.0827 | + | 29.0178i | −0.803185 | + | 1.10549i | ||||
\(690\) | −1.90314 | + | 12.9653i | −0.0724513 | + | 0.493582i | ||||
\(691\) | −10.2098 | − | 14.0525i | −0.388398 | − | 0.534584i | 0.569387 | − | 0.822070i | \(-0.307181\pi\) |
−0.957785 | + | 0.287486i | \(0.907181\pi\) | |||||||
\(692\) | −6.31579 | + | 6.07921i | −0.240090 | + | 0.231097i | ||||
\(693\) | −0.117199 | − | 0.679379i | −0.00445202 | − | 0.0258075i | ||||
\(694\) | 0.640681 | + | 2.78546i | 0.0243199 | + | 0.105735i | ||||
\(695\) | −0.814441 | + | 1.65533i | −0.0308935 | + | 0.0627902i | ||||
\(696\) | 7.61430 | + | 15.7835i | 0.288619 | + | 0.598273i | ||||
\(697\) | −10.1129 | − | 31.1243i | −0.383053 | − | 1.17892i | ||||
\(698\) | 7.07786 | + | 0.625052i | 0.267901 | + | 0.0236586i | ||||
\(699\) | 0.300320 | + | 3.50750i | 0.0113592 | + | 0.132666i | ||||
\(700\) | 0.135862 | + | 0.810917i | 0.00513508 | + | 0.0306498i | ||||
\(701\) | − | 42.2125i | − | 1.59435i | −0.603751 | − | 0.797173i | \(-0.706328\pi\) | ||
0.603751 | − | 0.797173i | \(-0.293672\pi\) | |||||||
\(702\) | −34.5324 | + | 5.86230i | −1.30334 | + | 0.221258i | ||||
\(703\) | 18.4485 | − | 5.99427i | 0.695797 | − | 0.226078i | ||||
\(704\) | 8.99430 | + | 20.4706i | 0.338985 | + | 0.771516i | ||||
\(705\) | −5.16456 | + | 6.30899i | −0.194509 | + | 0.237610i | ||||
\(706\) | −12.6080 | + | 2.89995i | −0.474507 | + | 0.109141i | ||||
\(707\) | −0.990015 | −0.0372333 | ||||||||
\(708\) | 24.3671 | + | 21.3315i | 0.915771 | + | 0.801687i | ||||
\(709\) | −14.8691 | + | 10.8030i | −0.558420 | + | 0.405716i | −0.830880 | − | 0.556451i | \(-0.812163\pi\) |
0.272460 | + | 0.962167i | \(0.412163\pi\) | |||||||
\(710\) | −4.40836 | − | 10.5099i | −0.165443 | − | 0.394429i | ||||
\(711\) | −6.29429 | + | 12.7848i | −0.236054 | + | 0.479466i | ||||
\(712\) | 23.2925 | − | 18.7677i | 0.872924 | − | 0.703349i | ||||
\(713\) | −4.31391 | − | 5.93759i | −0.161557 | − | 0.222365i | ||||
\(714\) | −0.811596 | − | 0.00216573i | −0.0303732 | − | 8.10505e-5i | ||||
\(715\) | 29.3541 | − | 5.07152i | 1.09778 | − | 0.189664i | ||||
\(716\) | 4.50608 | + | 32.4465i | 0.168400 | + | 1.21258i | ||||
\(717\) | 4.77972 | − | 20.5297i | 0.178502 | − | 0.766694i | ||||
\(718\) | −16.1665 | + | 9.69588i | −0.603329 | + | 0.361847i | ||||
\(719\) | −14.8203 | + | 45.6122i | −0.552704 | + | 1.70105i | 0.149227 | + | 0.988803i | \(0.452322\pi\) |
−0.701931 | + | 0.712245i | \(0.747678\pi\) | |||||||
\(720\) | 21.8714 | − | 15.5449i | 0.815098 | − | 0.579324i | ||||
\(721\) | 0.493453 | + | 1.51869i | 0.0183771 | + | 0.0565590i | ||||
\(722\) | 15.3771 | + | 13.3891i | 0.572276 | + | 0.498292i | ||||
\(723\) | −30.3254 | − | 18.2979i | −1.12781 | − | 0.680505i | ||||
\(724\) | −4.12083 | + | 7.71974i | −0.153149 | + | 0.286902i | ||||
\(725\) | −14.1697 | + | 10.9139i | −0.526249 | + | 0.405332i | ||||
\(726\) | −6.33055 | + | 4.57365i | −0.234949 | + | 0.169744i | ||||
\(727\) | −8.35057 | + | 11.4936i | −0.309705 | + | 0.426273i | −0.935289 | − | 0.353884i | \(-0.884861\pi\) |
0.625584 | + | 0.780157i | \(0.284861\pi\) | |||||||
\(728\) | 0.394713 | + | 1.03583i | 0.0146290 | + | 0.0383906i | ||||
\(729\) | 19.8629 | + | 18.2884i | 0.735661 | + | 0.677349i | ||||
\(730\) | −4.13314 | − | 2.50751i | −0.152974 | − | 0.0928070i | ||||
\(731\) | 10.9207 | − | 33.6105i | 0.403917 | − | 1.24313i | ||||
\(732\) | 4.11152 | − | 9.59306i | 0.151966 | − | 0.354570i | ||||
\(733\) | −11.8497 | + | 36.4697i | −0.437680 | + | 1.34704i | 0.452636 | + | 0.891695i | \(0.350484\pi\) |
−0.890316 | + | 0.455344i | \(0.849516\pi\) | |||||||
\(734\) | −33.8695 | − | 14.4094i | −1.25015 | − | 0.531860i | ||||
\(735\) | −14.6307 | − | 22.7931i | −0.539662 | − | 0.840735i | ||||
\(736\) | −6.51309 | − | 11.8638i | −0.240076 | − | 0.437306i | ||||
\(737\) | 21.1479 | + | 29.1076i | 0.778992 | + | 1.07219i | ||||
\(738\) | 33.5365 | + | 7.90237i | 1.23449 | + | 0.290890i | ||||
\(739\) | 9.88757 | − | 13.6091i | 0.363720 | − | 0.500618i | −0.587461 | − | 0.809253i | \(-0.699872\pi\) |
0.951180 | + | 0.308635i | \(0.0998722\pi\) | |||||||
\(740\) | 32.9054 | − | 23.6525i | 1.20963 | − | 0.869485i | ||||
\(741\) | 11.5699 | + | 13.3596i | 0.425032 | + | 0.490777i | ||||
\(742\) | −0.196137 | − | 0.852738i | −0.00720043 | − | 0.0313050i | ||||
\(743\) | 24.3161 | 0.892071 | 0.446035 | − | 0.895015i | \(-0.352836\pi\) | ||||
0.446035 | + | 0.895015i | \(0.352836\pi\) | |||||||
\(744\) | −2.67323 | + | 14.7885i | −0.0980055 | + | 0.542172i | ||||
\(745\) | 1.00826 | + | 5.83584i | 0.0369399 | + | 0.213809i | ||||
\(746\) | −10.7154 | − | 9.33011i | −0.392319 | − | 0.341600i | ||||
\(747\) | −13.4404 | − | 25.5052i | −0.491757 | − | 0.933186i | ||||
\(748\) | −9.84158 | − | 20.2621i | −0.359844 | − | 0.740855i | ||||
\(749\) | 1.60609i | 0.0586851i | ||||||||
\(750\) | 20.1115 | + | 18.5884i | 0.734369 | + | 0.678751i | ||||
\(751\) | 20.5712i | 0.750654i | 0.926892 | + | 0.375327i | \(0.122470\pi\) | ||||
−0.926892 | + | 0.375327i | \(0.877530\pi\) | |||||||
\(752\) | 0.321341 | − | 8.41454i | 0.0117181 | − | 0.306847i | ||||
\(753\) | −0.212296 | − | 0.502724i | −0.00773648 | − | 0.0183203i | ||||
\(754\) | −15.8342 | + | 18.1852i | −0.576649 | + | 0.662266i | ||||
\(755\) | −5.69936 | − | 32.9880i | −0.207421 | − | 1.20055i | ||||
\(756\) | 0.445342 | − | 0.729245i | 0.0161969 | − | 0.0265224i | ||||
\(757\) | −51.6491 | −1.87722 | −0.938608 | − | 0.344984i | \(-0.887884\pi\) | ||||
−0.938608 | + | 0.344984i | \(0.887884\pi\) | |||||||
\(758\) | 28.9776 | − | 6.66511i | 1.05251 | − | 0.242088i | ||||
\(759\) | −8.75512 | + | 7.58228i | −0.317791 | + | 0.275219i | ||||
\(760\) | −12.4313 | − | 5.36351i | −0.450929 | − | 0.194555i | ||||
\(761\) | −16.1791 | + | 22.2686i | −0.586492 | + | 0.807237i | −0.994388 | − | 0.105792i | \(-0.966262\pi\) |
0.407897 | + | 0.913028i | \(0.366262\pi\) | |||||||
\(762\) | 38.0295 | + | 12.4688i | 1.37766 | + | 0.451698i | ||||
\(763\) | 0.0742088 | + | 0.102140i | 0.00268654 | + | 0.00369770i | ||||
\(764\) | −29.4576 | + | 14.3080i | −1.06574 | + | 0.517644i | ||||
\(765\) | −21.4204 | + | 16.4899i | −0.774455 | + | 0.596195i | ||||
\(766\) | 10.3570 | − | 24.3444i | 0.374215 | − | 0.879600i | ||||
\(767\) | −13.7700 | + | 42.3798i | −0.497207 | + | 1.53024i | ||||
\(768\) | −8.32424 | + | 26.4331i | −0.300375 | + | 0.953821i | ||||
\(769\) | −5.61828 | + | 17.2913i | −0.202601 | + | 0.623540i | 0.797203 | + | 0.603712i | \(0.206312\pi\) |
−0.999803 | + | 0.0198288i | \(0.993688\pi\) | |||||||
\(770\) | −0.376936 | + | 0.621306i | −0.0135838 | + | 0.0223903i | ||||
\(771\) | −5.26159 | + | 2.22192i | −0.189491 | + | 0.0800204i | ||||
\(772\) | 16.3006 | + | 2.90167i | 0.586671 | + | 0.104433i | ||||
\(773\) | −12.7699 | + | 17.5762i | −0.459300 | + | 0.632172i | −0.974363 | − | 0.224980i | \(-0.927768\pi\) |
0.515064 | + | 0.857152i | \(0.327768\pi\) | |||||||
\(774\) | 24.2829 | + | 28.1907i | 0.872830 | + | 1.01329i | ||||
\(775\) | −15.3320 | + | 0.429477i | −0.550743 | + | 0.0154273i | ||||
\(776\) | 1.17163 | + | 23.4543i | 0.0420589 | + | 0.841960i | ||||
\(777\) | 0.666688 | − | 1.10491i | 0.0239173 | − | 0.0396386i | ||||
\(778\) | −18.7470 | + | 21.5304i | −0.672112 | + | 0.771904i | ||||
\(779\) | −5.37220 | − | 16.5339i | −0.192479 | − | 0.592390i | ||||
\(780\) | 31.5149 | + | 19.2348i | 1.12842 | + | 0.688717i | ||||
\(781\) | 3.11275 | − | 9.58005i | 0.111383 | − | 0.342801i | ||||
\(782\) | 7.01285 | + | 11.6929i | 0.250779 | + | 0.418139i | ||||
\(783\) | 18.5561 | + | 1.07592i | 0.663139 | + | 0.0384504i | ||||
\(784\) | 26.2546 | + | 9.65305i | 0.937665 | + | 0.344752i | ||||
\(785\) | 14.2924 | − | 2.46931i | 0.510118 | − | 0.0881335i | ||||
\(786\) | 37.3921 | + | 0.0997803i | 1.33373 | + | 0.00355905i | ||||
\(787\) | −26.7095 | − | 36.7625i | −0.952093 | − | 1.31044i | −0.950592 | − | 0.310444i | \(-0.899522\pi\) |
−0.00150096 | − | 0.999999i | \(-0.500478\pi\) | |||||||
\(788\) | −24.1737 | + | 3.35717i | −0.861151 | + | 0.119594i | ||||
\(789\) | 7.07316 | + | 4.26784i | 0.251811 | + | 0.151939i | ||||
\(790\) | 13.8518 | − | 5.81013i | 0.492827 | − | 0.206715i | ||||
\(791\) | −1.04499 | + | 0.759228i | −0.0371555 | + | 0.0269950i | ||||
\(792\) | 23.6124 | + | 2.21229i | 0.839029 | + | 0.0786103i | ||||
\(793\) | 14.3610 | 0.509975 | ||||||||
\(794\) | 1.96629 | + | 8.54874i | 0.0697809 | + | 0.303384i | ||||
\(795\) | −22.5518 | − | 18.4609i | −0.799828 | − | 0.654742i | ||||
\(796\) | 7.68270 | − | 43.1588i | 0.272306 | − | 1.52972i | ||||
\(797\) | −11.5618 | + | 3.75666i | −0.409540 | + | 0.133068i | −0.506539 | − | 0.862217i | \(-0.669076\pi\) |
0.0969992 | + | 0.995284i | \(0.469076\pi\) | |||||||
\(798\) | −0.431139 | − | 0.00115049i | −0.0152621 | − | 4.07268e-5i | ||||
\(799\) | 8.48330i | 0.300118i | ||||||||
\(800\) | −28.1479 | − | 2.77441i | −0.995178 | − | 0.0980902i | ||||
\(801\) | −5.39356 | − | 31.2654i | −0.190572 | − | 1.10471i | ||||
\(802\) | 2.55123 | − | 28.8892i | 0.0900872 | − | 1.02011i | ||||
\(803\) | −1.32034 | − | 4.06360i | −0.0465939 | − | 0.143401i | ||||
\(804\) | −4.04131 | + | 44.4096i | −0.142526 | + | 1.56621i | ||||
\(805\) | 0.194190 | − | 0.394685i | 0.00684430 | − | 0.0139108i | ||||
\(806\) | −20.1521 | + | 4.63516i | −0.709827 | + | 0.163267i | ||||
\(807\) | 0.236451 | + | 2.76156i | 0.00832345 | + | 0.0972114i | ||||
\(808\) | 8.89495 | − | 32.8743i | 0.312923 | − | 1.15651i | ||||
\(809\) | −10.2546 | − | 14.1143i | −0.360534 | − | 0.496233i | 0.589763 | − | 0.807576i | \(-0.299221\pi\) |
−0.950297 | + | 0.311343i | \(0.899221\pi\) | |||||||
\(810\) | −3.13837 | − | 28.2869i | −0.110271 | − | 0.993902i | ||||
\(811\) | 13.9942 | − | 19.2614i | 0.491404 | − | 0.676359i | −0.489242 | − | 0.872148i | \(-0.662727\pi\) |
0.980646 | + | 0.195789i | \(0.0627267\pi\) | |||||||
\(812\) | −0.0809157 | − | 0.582642i | −0.00283958 | − | 0.0204467i | ||||
\(813\) | −21.6628 | − | 25.0136i | −0.759747 | − | 0.877267i | ||||
\(814\) | 35.6778 | + | 3.15074i | 1.25051 | + | 0.110433i | ||||
\(815\) | 34.0816 | + | 33.1402i | 1.19383 | + | 1.16085i | ||||
\(816\) | 7.36383 | − | 26.9303i | 0.257785 | − | 0.942748i | ||||
\(817\) | 5.80133 | − | 17.8547i | 0.202963 | − | 0.624656i | ||||
\(818\) | −3.03321 | + | 1.81917i | −0.106054 | + | 0.0636057i | ||||
\(819\) | 1.16367 | + | 0.167943i | 0.0406621 | + | 0.00586840i | ||||
\(820\) | −21.1980 | − | 29.4905i | −0.740265 | − | 1.02985i | ||||
\(821\) | −0.644797 | + | 0.209507i | −0.0225036 | + | 0.00731186i | −0.320247 | − | 0.947334i | \(-0.603766\pi\) |
0.297744 | + | 0.954646i | \(0.403766\pi\) | |||||||
\(822\) | −30.6757 | + | 41.9855i | −1.06994 | + | 1.46441i | ||||
\(823\) | 21.0254 | − | 28.9390i | 0.732899 | − | 1.00875i | −0.266097 | − | 0.963946i | \(-0.585734\pi\) |
0.998996 | − | 0.0448028i | \(-0.0142659\pi\) | |||||||
\(824\) | −54.8630 | + | 2.74060i | −1.91124 | + | 0.0954735i | ||||
\(825\) | 2.73939 | + | 24.0493i | 0.0953732 | + | 0.837289i | ||||
\(826\) | −0.559120 | − | 0.932254i | −0.0194543 | − | 0.0324372i | ||||
\(827\) | −16.3488 | − | 11.8781i | −0.568503 | − | 0.413042i | 0.266058 | − | 0.963957i | \(-0.414279\pi\) |
−0.834561 | + | 0.550915i | \(0.814279\pi\) | |||||||
\(828\) | −14.3548 | − | 0.0766119i | −0.498864 | − | 0.00266245i | ||||
\(829\) | 16.8061 | + | 51.7237i | 0.583698 | + | 1.79644i | 0.604436 | + | 0.796654i | \(0.293399\pi\) |
−0.0207372 | + | 0.999785i | \(0.506601\pi\) | |||||||
\(830\) | −6.96238 | + | 29.5810i | −0.241668 | + | 1.02677i | ||||
\(831\) | −11.3154 | + | 48.6016i | −0.392528 | + | 1.68597i | ||||
\(832\) | −37.9421 | + | 3.80017i | −1.31541 | + | 0.131747i | ||||
\(833\) | −26.8017 | − | 8.70841i | −0.928625 | − | 0.301728i | ||||
\(834\) | −1.92033 | − | 0.629625i | −0.0664957 | − | 0.0218021i | ||||
\(835\) | −6.42047 | + | 44.5675i | −0.222189 | + | 1.54232i | ||||
\(836\) | −5.22808 | − | 10.7637i | −0.180817 | − | 0.372270i | ||||
\(837\) | 12.3316 | + | 10.0999i | 0.426242 | + | 0.349104i | ||||
\(838\) | −8.50141 | + | 19.9827i | −0.293676 | + | 0.690292i | ||||
\(839\) | 12.8692 | + | 9.35003i | 0.444295 | + | 0.322799i | 0.787339 | − | 0.616520i | \(-0.211458\pi\) |
−0.343044 | + | 0.939319i | \(0.611458\pi\) | |||||||
\(840\) | −0.858745 | + | 0.271682i | −0.0296295 | + | 0.00937392i | ||||
\(841\) | −13.1095 | + | 9.52463i | −0.452053 | + | 0.328436i | ||||
\(842\) | −5.92600 | − | 25.7642i | −0.204223 | − | 0.887893i | ||||
\(843\) | −2.23784 | − | 26.1362i | −0.0770753 | − | 0.900178i | ||||
\(844\) | −0.915126 | + | 0.880845i | −0.0314999 | + | 0.0303199i | ||||
\(845\) | −3.09896 | + | 21.5113i | −0.106607 | + | 0.740012i | ||||
\(846\) | −7.63489 | − | 4.63461i | −0.262493 | − | 0.159341i | ||||
\(847\) | 0.249323 | − | 0.0810099i | 0.00856684 | − | 0.00278353i | ||||
\(848\) | 30.0781 | + | 1.14865i | 1.03289 | + | 0.0394448i | ||||
\(849\) | −1.08758 | − | 12.7021i | −0.0373258 | − | 0.435936i | ||||
\(850\) | 28.4432 | + | 1.71087i | 0.975594 | + | 0.0586823i | ||||
\(851\) | −21.6796 | −0.743167 | ||||||||
\(852\) | 10.7239 | − | 6.39281i | 0.367394 | − | 0.219014i | ||||
\(853\) | −8.54065 | − | 26.2854i | −0.292426 | − | 0.899995i | −0.984074 | − | 0.177760i | \(-0.943115\pi\) |
0.691648 | − | 0.722235i | \(-0.256885\pi\) | |||||||
\(854\) | −0.230059 | + | 0.264217i | −0.00787245 | + | 0.00904131i | ||||
\(855\) | −11.3790 | + | 8.75984i | −0.389153 | + | 0.299580i | ||||
\(856\) | −53.3315 | − | 14.4301i | −1.82283 | − | 0.493212i | ||||
\(857\) | − | 3.52202i | − | 0.120310i | −0.998189 | − | 0.0601549i | \(-0.980841\pi\) | ||
0.998189 | − | 0.0601549i | \(-0.0191595\pi\) | |||||||
\(858\) | 10.0010 | + | 31.0618i | 0.341430 | + | 1.06043i | ||||
\(859\) | −16.6207 | − | 22.8764i | −0.567091 | − | 0.780533i | 0.425116 | − | 0.905139i | \(-0.360233\pi\) |
−0.992206 | + | 0.124606i | \(0.960233\pi\) | |||||||
\(860\) | 0.199350 | − | 39.2193i | 0.00679779 | − | 1.33737i | ||||
\(861\) | −0.990249 | − | 0.597501i | −0.0337476 | − | 0.0203628i | ||||
\(862\) | −5.48065 | + | 12.8824i | −0.186672 | + | 0.438775i | ||||
\(863\) | 25.3803 | − | 18.4398i | 0.863954 | − | 0.627699i | −0.0650037 | − | 0.997885i | \(-0.520706\pi\) |
0.928958 | + | 0.370186i | \(0.120706\pi\) | |||||||
\(864\) | 20.2140 | + | 21.3400i | 0.687694 | + | 0.726001i | ||||
\(865\) | 4.32680 | − | 8.79410i | 0.147116 | − | 0.299009i | ||||
\(866\) | 3.46118 | − | 8.13557i | 0.117616 | − | 0.276458i | ||||
\(867\) | 0.298934 | − | 1.28397i | 0.0101523 | − | 0.0436059i | ||||
\(868\) | 0.237551 | − | 0.445016i | 0.00806302 | − | 0.0151048i | ||||
\(869\) | 12.6263 | + | 4.10254i | 0.428319 | + | 0.139169i | ||||
\(870\) | −14.0102 | − | 13.6962i | −0.474991 | − | 0.464344i | ||||
\(871\) | −58.3556 | + | 18.9609i | −1.97730 | + | 0.642465i | ||||
\(872\) | −4.05838 | + | 1.54648i | −0.137434 | + | 0.0523704i | ||||
\(873\) | 22.3466 | + | 11.0018i | 0.756318 | + | 0.372356i | ||||
\(874\) | 3.72539 | + | 6.21156i | 0.126013 | + | 0.210109i | ||||
\(875\) | −0.451368 | − | 0.800826i | −0.0152590 | − | 0.0270729i | ||||
\(876\) | 2.08617 | − | 4.86749i | 0.0704852 | − | 0.164457i | ||||
\(877\) | 8.12642 | + | 5.90419i | 0.274410 | + | 0.199370i | 0.716475 | − | 0.697612i | \(-0.245754\pi\) |
−0.442066 | + | 0.896983i | \(0.645754\pi\) | |||||||
\(878\) | −19.3454 | + | 22.2177i | −0.652875 | + | 0.749810i | ||||
\(879\) | 16.3157 | − | 6.88994i | 0.550313 | − | 0.232392i | ||||
\(880\) | −17.2444 | − | 18.0987i | −0.581307 | − | 0.610107i | ||||
\(881\) | 16.8622 | + | 5.47887i | 0.568102 | + | 0.184588i | 0.578964 | − | 0.815353i | \(-0.303457\pi\) |
−0.0108612 | + | 0.999941i | \(0.503457\pi\) | |||||||
\(882\) | 22.4799 | − | 19.3637i | 0.756936 | − | 0.652010i | ||||
\(883\) | −40.4287 | − | 13.1361i | −1.36053 | − | 0.442065i | −0.464313 | − | 0.885671i | \(-0.653699\pi\) |
−0.896222 | + | 0.443607i | \(0.853699\pi\) | |||||||
\(884\) | 38.0504 | − | 5.28433i | 1.27977 | − | 0.177731i | ||||
\(885\) | −33.7333 | − | 13.1547i | −1.13393 | − | 0.442191i | ||||
\(886\) | 23.4057 | + | 2.06698i | 0.786331 | + | 0.0694416i | ||||
\(887\) | 22.9236 | − | 16.6550i | 0.769700 | − | 0.559220i | −0.132170 | − | 0.991227i | \(-0.542194\pi\) |
0.901870 | + | 0.432007i | \(0.142194\pi\) | |||||||
\(888\) | 30.6997 | + | 32.0652i | 1.03021 | + | 1.07604i | ||||
\(889\) | −1.08683 | − | 0.789629i | −0.0364512 | − | 0.0264833i | ||||
\(890\) | −17.3468 | + | 28.5928i | −0.581465 | + | 0.958433i | ||||
\(891\) | 14.2203 | − | 20.7491i | 0.476398 | − | 0.695121i | ||||
\(892\) | 12.7839 | − | 12.3050i | 0.428038 | − | 0.412003i | ||||
\(893\) | 4.50653i | 0.150805i | ||||||||
\(894\) | −6.17536 | + | 1.98829i | −0.206535 | + | 0.0664985i | ||||
\(895\) | −17.0824 | − | 32.3966i | −0.571003 | − | 1.08290i | ||||
\(896\) | 0.537904 | − | 0.758944i | 0.0179701 | − | 0.0253545i | ||||
\(897\) | −7.68405 | − | 18.1961i | −0.256563 | − | 0.607551i | ||||
\(898\) | −0.781748 | + | 8.85223i | −0.0260873 | + | 0.295403i | ||||
\(899\) | 10.9732 | 0.365976 | ||||||||
\(900\) | −17.0789 | + | 24.6639i | −0.569297 | + | 0.822132i | ||||
\(901\) | −30.3239 | −1.01024 | ||||||||
\(902\) | 2.82376 | − | 31.9752i | 0.0940210 | − | 1.06466i | ||||
\(903\) | −0.485866 | − | 1.15055i | −0.0161686 | − | 0.0382879i | ||||
\(904\) | −15.8220 | − | 41.5211i | −0.526231 | − | 1.38097i | ||||
\(905\) | 1.39505 | − | 9.68366i | 0.0463729 | − | 0.321896i | ||||
\(906\) | 34.9071 | − | 11.2391i | 1.15971 | − | 0.373395i | ||||
\(907\) | − | 12.5127i | − | 0.415478i | −0.978184 | − | 0.207739i | \(-0.933390\pi\) | ||
0.978184 | − | 0.207739i | \(-0.0666104\pi\) | |||||||
\(908\) | −12.4354 | − | 12.9193i | −0.412683 | − | 0.428744i | ||||
\(909\) | −25.8911 | − | 25.1888i | −0.858752 | − | 0.835458i | ||||
\(910\) | −0.809075 | − | 0.938795i | −0.0268206 | − | 0.0311207i | ||||
\(911\) | 26.6278 | + | 19.3462i | 0.882219 | + | 0.640970i | 0.933838 | − | 0.357697i | \(-0.116438\pi\) |
−0.0516184 | + | 0.998667i | \(0.516438\pi\) | |||||||
\(912\) | 3.91184 | − | 14.3060i | 0.129534 | − | 0.473719i | ||||
\(913\) | −21.7295 | + | 15.7874i | −0.719140 | + | 0.522486i | ||||
\(914\) | −51.1206 | − | 4.51451i | −1.69092 | − | 0.149327i | ||||
\(915\) | −0.672500 | + | 11.6496i | −0.0222322 | + | 0.385122i | ||||
\(916\) | 1.19102 | + | 8.57607i | 0.0393524 | + | 0.283361i | ||||
\(917\) | −1.19371 | − | 0.387861i | −0.0394198 | − | 0.0128083i | ||||
\(918\) | −21.1699 | − | 20.7059i | −0.698711 | − | 0.683397i | ||||
\(919\) | 25.1738 | + | 8.17948i | 0.830409 | + | 0.269816i | 0.693217 | − | 0.720729i | \(-0.256193\pi\) |
0.137191 | + | 0.990545i | \(0.456193\pi\) | |||||||
\(920\) | 11.3611 | + | 9.99436i | 0.374566 | + | 0.329504i | ||||
\(921\) | 11.9174 | − | 5.03262i | 0.392693 | − | 0.165830i | ||||
\(922\) | −27.2392 | + | 31.2835i | −0.897074 | + | 1.03027i | ||||
\(923\) | 13.8978 | + | 10.0974i | 0.457453 | + | 0.332359i | ||||
\(924\) | −0.731695 | − | 0.313599i | −0.0240710 | − | 0.0103167i | ||||
\(925\) | −25.5942 | + | 37.3858i | −0.841532 | + | 1.22924i | ||||
\(926\) | −14.5783 | − | 24.3073i | −0.479074 | − | 0.798789i | ||||
\(927\) | −25.7349 | + | 52.2719i | −0.845245 | + | 1.71684i | ||||
\(928\) | 20.0741 | + | 2.54797i | 0.658966 | + | 0.0836411i | ||||
\(929\) | 16.3510 | − | 5.31275i | 0.536458 | − | 0.174306i | −0.0282436 | − | 0.999601i | \(-0.508991\pi\) |
0.564701 | + | 0.825295i | \(0.308991\pi\) | |||||||
\(930\) | −2.81632 | − | 16.5643i | −0.0923509 | − | 0.543164i | ||||
\(931\) | −14.2377 | − | 4.62611i | −0.466622 | − | 0.151615i | ||||
\(932\) | 3.58601 | + | 1.91423i | 0.117464 | + | 0.0627026i | ||||
\(933\) | −0.771322 | + | 3.31295i | −0.0252520 | + | 0.108461i | ||||
\(934\) | 8.25482 | − | 19.4031i | 0.270106 | − | 0.634889i | ||||
\(935\) | 18.0558 | + | 17.5571i | 0.590486 | + | 0.574177i | ||||
\(936\) | −16.0319 | + | 37.1319i | −0.524019 | + | 1.21369i | ||||
\(937\) | −33.1311 | + | 24.0711i | −1.08234 | + | 0.786369i | −0.978090 | − | 0.208182i | \(-0.933246\pi\) |
−0.104254 | + | 0.994551i | \(0.533246\pi\) | |||||||
\(938\) | 0.585992 | − | 1.37738i | 0.0191333 | − | 0.0449732i | ||||
\(939\) | 13.9486 | + | 8.41638i | 0.455196 | + | 0.274658i | ||||
\(940\) | 2.86372 | + | 8.96849i | 0.0934043 | + | 0.292520i | ||||
\(941\) | −10.9977 | − | 15.1370i | −0.358515 | − | 0.493454i | 0.591219 | − | 0.806511i | \(-0.298647\pi\) |
−0.949734 | + | 0.313057i | \(0.898647\pi\) | |||||||
\(942\) | 4.86948 | + | 15.1239i | 0.158656 | + | 0.492764i | ||||
\(943\) | 19.4298i | 0.632720i | ||||||||
\(944\) | 35.9798 | − | 10.1901i | 1.17104 | − | 0.331659i | ||||
\(945\) | −0.190727 | + | 0.936100i | −0.00620434 | + | 0.0304513i | ||||
\(946\) | 22.7628 | − | 26.1425i | 0.740084 | − | 0.849967i | ||||
\(947\) | 3.26868 | + | 10.0599i | 0.106218 | + | 0.326904i | 0.990014 | − | 0.140967i | \(-0.0450211\pi\) |
−0.883797 | + | 0.467871i | \(0.845021\pi\) | |||||||
\(948\) | 8.42560 | + | 14.1339i | 0.273651 | + | 0.459047i | ||||
\(949\) | 7.28673 | 0.236537 | ||||||||
\(950\) | 15.1097 | + | 0.908854i | 0.490224 | + | 0.0294871i | ||||
\(951\) | 2.44945 | + | 28.6076i | 0.0794288 | + | 0.927665i | ||||
\(952\) | −0.512333 | + | 0.784711i | −0.0166048 | + | 0.0254326i | ||||
\(953\) | −34.4460 | + | 11.1922i | −1.11581 | + | 0.362550i | −0.808169 | − | 0.588951i | \(-0.799541\pi\) |
−0.307645 | + | 0.951501i | \(0.599541\pi\) | |||||||
\(954\) | 16.5666 | − | 27.2913i | 0.536365 | − | 0.883587i | ||||
\(955\) | 25.5249 | − | 26.2499i | 0.825968 | − | 0.849428i | ||||
\(956\) | −16.8791 | − | 17.5360i | −0.545910 | − | 0.567156i | ||||
\(957\) | −1.47729 | − | 17.2535i | −0.0477539 | − | 0.557727i | ||||
\(958\) | −0.873192 | − | 3.79634i | −0.0282116 | − | 0.122654i | ||||
\(959\) | 1.41207 | − | 1.02593i | 0.0455980 | − | 0.0331289i | ||||
\(960\) | −1.30591 | − | 30.9563i | −0.0421482 | − | 0.999111i | ||||
\(961\) | −17.4665 | − | 12.6901i | −0.563435 | − | 0.409360i | ||||
\(962\) | −23.9125 | + | 56.2068i | −0.770970 | + | 1.81218i | ||||
\(963\) | −40.8633 | + | 42.0027i | −1.31680 | + | 1.35352i | ||||
\(964\) | −36.7874 | + | 17.8682i | −1.18484 | + | 0.575495i | ||||
\(965\) | −18.2409 | + | 3.15149i | −0.587195 | + | 0.101450i | ||||
\(966\) | 0.457872 | + | 0.150124i | 0.0147318 | + | 0.00483015i | ||||
\(967\) | −5.22806 | − | 1.69870i | −0.168123 | − | 0.0546265i | 0.223746 | − | 0.974647i | \(-0.428171\pi\) |
−0.391869 | + | 0.920021i | \(0.628171\pi\) | |||||||
\(968\) | 0.449924 | + | 9.00683i | 0.0144611 | + | 0.289491i | ||||
\(969\) | −3.38807 | + | 14.5523i | −0.108840 | + | 0.467487i | ||||
\(970\) | −10.1556 | − | 24.2118i | −0.326076 | − | 0.777393i | ||||
\(971\) | 4.59684 | + | 14.1476i | 0.147520 | + | 0.454019i | 0.997326 | − | 0.0730755i | \(-0.0232814\pi\) |
−0.849807 | + | 0.527094i | \(0.823281\pi\) | |||||||
\(972\) | 30.2007 | − | 7.74062i | 0.968688 | − | 0.248280i | ||||
\(973\) | 0.0548805 | + | 0.0398730i | 0.00175939 | + | 0.00127827i | ||||
\(974\) | −18.0400 | − | 30.0791i | −0.578037 | − | 0.963796i | ||||
\(975\) | −40.4501 | − | 8.23086i | −1.29544 | − | 0.263598i | ||||
\(976\) | −6.70655 | − | 10.0132i | −0.214671 | − | 0.320515i | ||||
\(977\) | −20.0258 | + | 27.5632i | −0.640683 | + | 0.881825i | −0.998652 | − | 0.0519089i | \(-0.983469\pi\) |
0.357969 | + | 0.933734i | \(0.383469\pi\) | |||||||
\(978\) | −30.7212 | + | 42.0476i | −0.982355 | + | 1.34454i | ||||
\(979\) | −28.1117 | + | 9.13405i | −0.898454 | + | 0.291925i | ||||
\(980\) | −31.2743 | − | 0.158966i | −0.999021 | − | 0.00507799i | ||||
\(981\) | −0.657997 | + | 4.55926i | −0.0210082 | + | 0.145566i | ||||
\(982\) | −18.3261 | + | 10.9911i | −0.584809 | + | 0.350740i | ||||
\(983\) | −11.8913 | + | 36.5975i | −0.379272 | + | 1.16728i | 0.561278 | + | 0.827627i | \(0.310310\pi\) |
−0.940551 | + | 0.339653i | \(0.889690\pi\) | |||||||
\(984\) | 28.7376 | − | 27.5137i | 0.916121 | − | 0.877106i | ||||
\(985\) | 24.1365 | − | 12.7269i | 0.769053 | − | 0.405514i | ||||
\(986\) | −20.3067 | − | 1.79330i | −0.646696 | − | 0.0571103i | ||||
\(987\) | 0.196269 | + | 0.226628i | 0.00624730 | + | 0.00721364i | ||||
\(988\) | 20.2132 | − | 2.80716i | 0.643069 | − | 0.0893076i | ||||
\(989\) | −12.3328 | + | 16.9746i | −0.392160 | + | 0.539762i | ||||
\(990\) | −25.6654 | + | 6.65820i | −0.815702 | + | 0.211612i | ||||
\(991\) | 16.2543 | + | 22.3721i | 0.516335 | + | 0.710674i | 0.984972 | − | 0.172717i | \(-0.0552545\pi\) |
−0.468636 | + | 0.883391i | \(0.655255\pi\) | |||||||
\(992\) | 12.6428 | + | 11.8864i | 0.401410 | + | 0.377394i | ||||
\(993\) | 3.26621 | + | 38.1467i | 0.103650 | + | 1.21055i | ||||
\(994\) | −0.408412 | + | 0.0939384i | −0.0129540 | + | 0.00297955i | ||||
\(995\) | 8.34414 | + | 48.2960i | 0.264527 | + | 1.53109i | ||||
\(996\) | −33.1528 | − | 3.01693i | −1.05049 | − | 0.0955951i | ||||
\(997\) | 4.70023 | + | 14.4658i | 0.148858 | + | 0.458137i | 0.997487 | − | 0.0708511i | \(-0.0225715\pi\) |
−0.848629 | + | 0.528988i | \(0.822572\pi\) | |||||||
\(998\) | 3.80308 | − | 43.0646i | 0.120384 | − | 1.36319i | ||||
\(999\) | 45.5475 | − | 11.9335i | 1.44106 | − | 0.377559i |
(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 | 300.2.n.a.191.1 | yes | 224 | |
3.2 | odd | 2 | inner | 300.2.n.a.191.56 | yes | 224 | |
4.3 | odd | 2 | inner | 300.2.n.a.191.34 | yes | 224 | |
12.11 | even | 2 | inner | 300.2.n.a.191.23 | yes | 224 | |
25.11 | even | 5 | inner | 300.2.n.a.11.23 | yes | 224 | |
75.11 | odd | 10 | inner | 300.2.n.a.11.34 | yes | 224 | |
100.11 | odd | 10 | inner | 300.2.n.a.11.56 | yes | 224 | |
300.11 | even | 10 | inner | 300.2.n.a.11.1 | ✓ | 224 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
300.2.n.a.11.1 | ✓ | 224 | 300.11 | even | 10 | inner | |
300.2.n.a.11.23 | yes | 224 | 25.11 | even | 5 | inner | |
300.2.n.a.11.34 | yes | 224 | 75.11 | odd | 10 | inner | |
300.2.n.a.11.56 | yes | 224 | 100.11 | odd | 10 | inner | |
300.2.n.a.191.1 | yes | 224 | 1.1 | even | 1 | trivial | |
300.2.n.a.191.23 | yes | 224 | 12.11 | even | 2 | inner | |
300.2.n.a.191.34 | yes | 224 | 4.3 | odd | 2 | inner | |
300.2.n.a.191.56 | yes | 224 | 3.2 | odd | 2 | inner |