Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [672,2,Mod(37,672)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(672, base_ring=CyclotomicField(24))
chi = DirichletCharacter(H, H._module([0, 3, 0, 8]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("672.37");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 672 = 2^{5} \cdot 3 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 672.cj (of order \(24\), degree \(8\), 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: | \(5.36594701583\) |
Analytic rank: | \(0\) |
Dimension: | \(512\) |
Relative dimension: | \(64\) over \(\Q(\zeta_{24})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{24}]$ |
Embedding invariants
Embedding label | 613.44 | ||
Character | \(\chi\) | \(=\) | 672.613 |
Dual form | 672.2.cj.a.205.44 |
$q$-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 \(\left(\mathbb{Z}/672\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(421\) | \(449\) | \(577\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{8}\right)\) | \(1\) | \(e\left(\frac{2}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.650008 | − | 1.25598i | 0.459625 | − | 0.888113i | ||||
\(3\) | −0.991445 | − | 0.130526i | −0.572411 | − | 0.0753593i | ||||
\(4\) | −1.15498 | − | 1.63280i | −0.577489 | − | 0.816398i | ||||
\(5\) | 0.130493 | + | 0.991194i | 0.0583583 | + | 0.443275i | 0.995533 | + | 0.0944148i | \(0.0300980\pi\) |
−0.937175 | + | 0.348861i | \(0.886569\pi\) | |||||||
\(6\) | −0.808386 | + | 1.16039i | −0.330022 | + | 0.473729i | ||||
\(7\) | 1.53235 | + | 2.15682i | 0.579176 | + | 0.815203i | ||||
\(8\) | −2.80151 | + | 0.389300i | −0.990483 | + | 0.137638i | ||||
\(9\) | 0.965926 | + | 0.258819i | 0.321975 | + | 0.0862730i | ||||
\(10\) | 1.32974 | + | 0.480387i | 0.420502 | + | 0.151912i | ||||
\(11\) | −3.37930 | − | 4.40399i | −1.01890 | − | 1.32785i | −0.943742 | − | 0.330682i | \(-0.892721\pi\) |
−0.0751556 | − | 0.997172i | \(-0.523945\pi\) | |||||||
\(12\) | 0.931974 | + | 1.76958i | 0.269038 | + | 0.510835i | ||||
\(13\) | −4.49314 | + | 1.86112i | −1.24617 | + | 0.516182i | −0.905639 | − | 0.424051i | \(-0.860608\pi\) |
−0.340534 | + | 0.940232i | \(0.610608\pi\) | |||||||
\(14\) | 3.70497 | − | 0.522655i | 0.990196 | − | 0.139685i | ||||
\(15\) | − | 0.999747i | − | 0.258134i | ||||||
\(16\) | −1.33205 | + | 3.77169i | −0.333013 | + | 0.942922i | ||||
\(17\) | −6.28364 | − | 3.62786i | −1.52401 | − | 0.879886i | −0.999596 | − | 0.0284209i | \(-0.990952\pi\) |
−0.524411 | − | 0.851465i | \(-0.675715\pi\) | |||||||
\(18\) | 0.952932 | − | 1.04495i | 0.224608 | − | 0.246297i | ||||
\(19\) | −5.95893 | − | 4.57244i | −1.36707 | − | 1.04899i | −0.992558 | − | 0.121769i | \(-0.961143\pi\) |
−0.374513 | − | 0.927222i | \(-0.622190\pi\) | |||||||
\(20\) | 1.46770 | − | 1.35788i | 0.328188 | − | 0.303630i | ||||
\(21\) | −1.23772 | − | 2.33838i | −0.270093 | − | 0.510277i | ||||
\(22\) | −7.72791 | + | 1.38171i | −1.64760 | + | 0.294581i | ||||
\(23\) | 1.33131 | + | 0.356724i | 0.277598 | + | 0.0743820i | 0.394932 | − | 0.918710i | \(-0.370768\pi\) |
−0.117334 | + | 0.993092i | \(0.537435\pi\) | |||||||
\(24\) | 2.82835 | − | 0.0202988i | 0.577335 | − | 0.00414348i | ||||
\(25\) | 3.86419 | − | 1.03541i | 0.772838 | − | 0.207081i | ||||
\(26\) | −0.583047 | + | 6.85304i | −0.114345 | + | 1.34399i | ||||
\(27\) | −0.923880 | − | 0.382683i | −0.177801 | − | 0.0736475i | ||||
\(28\) | 1.75182 | − | 4.99311i | 0.331063 | − | 0.943609i | ||||
\(29\) | 0.795925 | + | 1.92153i | 0.147800 | + | 0.356820i | 0.980389 | − | 0.197070i | \(-0.0631428\pi\) |
−0.832590 | + | 0.553890i | \(0.813143\pi\) | |||||||
\(30\) | −1.25566 | − | 0.649844i | −0.229252 | − | 0.118645i | ||||
\(31\) | −2.44382 | + | 4.23282i | −0.438923 | + | 0.760236i | −0.997607 | − | 0.0691444i | \(-0.977973\pi\) |
0.558684 | + | 0.829381i | \(0.311306\pi\) | |||||||
\(32\) | 3.87133 | + | 4.12466i | 0.684360 | + | 0.729144i | ||||
\(33\) | 2.77556 | + | 4.80740i | 0.483162 | + | 0.836861i | ||||
\(34\) | −8.64095 | + | 5.53400i | −1.48191 | + | 0.949073i | ||||
\(35\) | −1.93787 | + | 1.80031i | −0.327560 | + | 0.304308i | ||||
\(36\) | −0.693024 | − | 1.87609i | −0.115504 | − | 0.312682i | ||||
\(37\) | 0.584621 | + | 4.44064i | 0.0961111 | + | 0.730036i | 0.969861 | + | 0.243660i | \(0.0783482\pi\) |
−0.873750 | + | 0.486376i | \(0.838319\pi\) | |||||||
\(38\) | −9.61626 | + | 4.51217i | −1.55996 | + | 0.731971i | ||||
\(39\) | 4.69762 | − | 1.25872i | 0.752222 | − | 0.201557i | ||||
\(40\) | −0.751449 | − | 2.72604i | −0.118815 | − | 0.431024i | ||||
\(41\) | −4.06853 | + | 4.06853i | −0.635398 | + | 0.635398i | −0.949417 | − | 0.314019i | \(-0.898324\pi\) |
0.314019 | + | 0.949417i | \(0.398324\pi\) | |||||||
\(42\) | −3.74150 | + | 0.0345876i | −0.577326 | + | 0.00533698i | ||||
\(43\) | 3.44984 | − | 8.32866i | 0.526096 | − | 1.27011i | −0.407966 | − | 0.912997i | \(-0.633762\pi\) |
0.934062 | − | 0.357111i | \(-0.116238\pi\) | |||||||
\(44\) | −3.28780 | + | 10.6042i | −0.495655 | + | 1.59865i | ||||
\(45\) | −0.130493 | + | 0.991194i | −0.0194528 | + | 0.147758i | ||||
\(46\) | 1.31340 | − | 1.44023i | 0.193651 | − | 0.212350i | ||||
\(47\) | 6.96650 | − | 4.02211i | 1.01617 | − | 0.586685i | 0.103176 | − | 0.994663i | \(-0.467099\pi\) |
0.912992 | + | 0.407978i | \(0.133766\pi\) | |||||||
\(48\) | 1.81296 | − | 3.56555i | 0.261678 | − | 0.514643i | ||||
\(49\) | −2.30378 | + | 6.61004i | −0.329111 | + | 0.944291i | ||||
\(50\) | 1.21131 | − | 5.52638i | 0.171304 | − | 0.781548i | ||||
\(51\) | 5.75635 | + | 4.41701i | 0.806051 | + | 0.618505i | ||||
\(52\) | 8.22831 | + | 5.18683i | 1.14106 | + | 0.719284i | ||||
\(53\) | −2.32937 | − | 3.03569i | −0.319963 | − | 0.416984i | 0.605486 | − | 0.795856i | \(-0.292979\pi\) |
−0.925449 | + | 0.378872i | \(0.876312\pi\) | |||||||
\(54\) | −1.08117 | + | 0.911628i | −0.147129 | + | 0.124057i | ||||
\(55\) | 3.92423 | − | 3.92423i | 0.529144 | − | 0.529144i | ||||
\(56\) | −5.13255 | − | 5.44581i | −0.685866 | − | 0.727728i | ||||
\(57\) | 5.31112 | + | 5.31112i | 0.703475 | + | 0.703475i | ||||
\(58\) | 2.93077 | + | 0.249346i | 0.384829 | + | 0.0327407i | ||||
\(59\) | 1.95430 | − | 1.49959i | 0.254428 | − | 0.195229i | −0.473670 | − | 0.880702i | \(-0.657071\pi\) |
0.728098 | + | 0.685473i | \(0.240404\pi\) | |||||||
\(60\) | −1.63238 | + | 1.15469i | −0.210740 | + | 0.149069i | ||||
\(61\) | −5.77324 | + | 7.52383i | −0.739187 | + | 0.963328i | −0.999998 | − | 0.00206243i | \(-0.999344\pi\) |
0.260811 | + | 0.965390i | \(0.416010\pi\) | |||||||
\(62\) | 3.72784 | + | 5.82075i | 0.473436 | + | 0.739237i | ||||
\(63\) | 0.921914 | + | 2.47993i | 0.116150 | + | 0.312442i | ||||
\(64\) | 7.69689 | − | 2.18125i | 0.962111 | − | 0.272656i | ||||
\(65\) | −2.43105 | − | 4.21071i | −0.301535 | − | 0.522274i | ||||
\(66\) | 7.84214 | − | 0.361194i | 0.965301 | − | 0.0444599i | ||||
\(67\) | −5.38625 | − | 0.709113i | −0.658035 | − | 0.0866319i | −0.205888 | − | 0.978576i | \(-0.566008\pi\) |
−0.452147 | + | 0.891944i | \(0.649342\pi\) | |||||||
\(68\) | 1.33391 | + | 14.4500i | 0.161760 | + | 1.75232i | ||||
\(69\) | −1.27336 | − | 0.527443i | −0.153295 | − | 0.0634967i | ||||
\(70\) | 1.00153 | + | 3.60415i | 0.119705 | + | 0.430778i | ||||
\(71\) | −8.81159 | − | 8.81159i | −1.04574 | − | 1.04574i | −0.998902 | − | 0.0468412i | \(-0.985085\pi\) |
−0.0468412 | − | 0.998902i | \(-0.514915\pi\) | |||||||
\(72\) | −2.80681 | − | 0.349049i | −0.330785 | − | 0.0411358i | ||||
\(73\) | −0.433852 | − | 1.61916i | −0.0507786 | − | 0.189508i | 0.935878 | − | 0.352325i | \(-0.114609\pi\) |
−0.986656 | + | 0.162817i | \(0.947942\pi\) | |||||||
\(74\) | 5.95737 | + | 2.15218i | 0.692530 | + | 0.250186i | ||||
\(75\) | −3.96628 | + | 0.522171i | −0.457987 | + | 0.0602951i | ||||
\(76\) | −0.583443 | + | 15.0108i | −0.0669255 | + | 1.72186i | ||||
\(77\) | 4.32035 | − | 14.0370i | 0.492349 | − | 1.59967i | ||||
\(78\) | 1.47256 | − | 6.71831i | 0.166735 | − | 0.760699i | ||||
\(79\) | 1.06084 | − | 0.612474i | 0.119353 | − | 0.0689088i | −0.439135 | − | 0.898421i | \(-0.644715\pi\) |
0.558488 | + | 0.829512i | \(0.311382\pi\) | |||||||
\(80\) | −3.91230 | − | 0.828141i | −0.437408 | − | 0.0925890i | ||||
\(81\) | 0.866025 | + | 0.500000i | 0.0962250 | + | 0.0555556i | ||||
\(82\) | 2.46542 | + | 7.75458i | 0.272260 | + | 0.856350i | ||||
\(83\) | 11.2277 | − | 4.65069i | 1.23241 | − | 0.510479i | 0.331072 | − | 0.943605i | \(-0.392590\pi\) |
0.901333 | + | 0.433126i | \(0.142590\pi\) | |||||||
\(84\) | −2.38856 | + | 4.72173i | −0.260614 | + | 0.515183i | ||||
\(85\) | 2.77594 | − | 6.70172i | 0.301093 | − | 0.726904i | ||||
\(86\) | −8.21821 | − | 9.74664i | −0.886193 | − | 1.05101i | ||||
\(87\) | −0.538305 | − | 2.00898i | −0.0577124 | − | 0.215386i | ||||
\(88\) | 11.1816 | + | 11.0223i | 1.19196 | + | 1.17498i | ||||
\(89\) | 1.19386 | − | 4.45554i | 0.126549 | − | 0.472287i | −0.873341 | − | 0.487109i | \(-0.838052\pi\) |
0.999890 | + | 0.0148221i | \(0.00471821\pi\) | |||||||
\(90\) | 1.16010 | + | 0.808181i | 0.122285 | + | 0.0851898i | ||||
\(91\) | −10.8992 | − | 6.83902i | −1.14255 | − | 0.716924i | ||||
\(92\) | −0.955178 | − | 2.58577i | −0.0995842 | − | 0.269585i | ||||
\(93\) | 2.97540 | − | 3.87762i | 0.308535 | − | 0.402091i | ||||
\(94\) | −0.523412 | − | 11.3642i | −0.0539858 | − | 1.17213i | ||||
\(95\) | 3.75458 | − | 6.50312i | 0.385212 | − | 0.667206i | ||||
\(96\) | −3.29983 | − | 4.59468i | −0.336788 | − | 0.468943i | ||||
\(97\) | 3.30978 | 0.336057 | 0.168029 | − | 0.985782i | \(-0.446260\pi\) | ||||
0.168029 | + | 0.985782i | \(0.446260\pi\) | |||||||
\(98\) | 6.80461 | + | 7.19008i | 0.687369 | + | 0.726308i | ||||
\(99\) | −2.12432 | − | 5.12856i | −0.213502 | − | 0.515439i | ||||
\(100\) | −6.15367 | − | 5.11357i | −0.615367 | − | 0.511357i | ||||
\(101\) | 0.457188 | − | 0.350813i | 0.0454919 | − | 0.0349072i | −0.585765 | − | 0.810481i | \(-0.699206\pi\) |
0.631257 | + | 0.775574i | \(0.282539\pi\) | |||||||
\(102\) | 9.28936 | − | 4.35878i | 0.919783 | − | 0.431584i | ||||
\(103\) | −0.767407 | + | 2.86400i | −0.0756149 | + | 0.282199i | −0.993372 | − | 0.114943i | \(-0.963331\pi\) |
0.917757 | + | 0.397142i | \(0.129998\pi\) | |||||||
\(104\) | 11.8630 | − | 6.96312i | 1.16327 | − | 0.682790i | ||||
\(105\) | 2.15628 | − | 1.53197i | 0.210431 | − | 0.149505i | ||||
\(106\) | −5.32688 | + | 0.952418i | −0.517392 | + | 0.0925070i | ||||
\(107\) | −5.72796 | + | 0.754101i | −0.553743 | + | 0.0729017i | −0.402205 | − | 0.915550i | \(-0.631756\pi\) |
−0.151538 | + | 0.988451i | \(0.548423\pi\) | |||||||
\(108\) | 0.442216 | + | 1.95050i | 0.0425523 | + | 0.187687i | ||||
\(109\) | −0.380291 | + | 2.88860i | −0.0364253 | + | 0.276678i | 0.963533 | + | 0.267588i | \(0.0862267\pi\) |
−0.999959 | + | 0.00908955i | \(0.997107\pi\) | |||||||
\(110\) | −2.37798 | − | 7.47955i | −0.226732 | − | 0.713147i | ||||
\(111\) | − | 4.47896i | − | 0.425124i | ||||||
\(112\) | −10.1760 | + | 2.90657i | −0.961546 | + | 0.274645i | ||||
\(113\) | − | 9.84190i | − | 0.925848i | −0.886398 | − | 0.462924i | \(-0.846800\pi\) | ||
0.886398 | − | 0.462924i | \(-0.153200\pi\) | |||||||
\(114\) | 10.1229 | − | 3.21840i | 0.948101 | − | 0.301430i | ||||
\(115\) | −0.179855 | + | 1.36614i | −0.0167716 | + | 0.127393i | ||||
\(116\) | 2.21820 | − | 3.51891i | 0.205954 | − | 0.326723i | ||||
\(117\) | −4.82173 | + | 0.634793i | −0.445769 | + | 0.0586866i | ||||
\(118\) | −0.613142 | − | 3.42931i | −0.0564443 | − | 0.315693i | ||||
\(119\) | −1.80411 | − | 19.1119i | −0.165382 | − | 1.75198i | ||||
\(120\) | 0.389201 | + | 2.80080i | 0.0355290 | + | 0.255677i | ||||
\(121\) | −5.12846 | + | 19.1397i | −0.466223 | + | 1.73997i | ||||
\(122\) | 5.69714 | + | 12.1416i | 0.515794 | + | 1.09925i | ||||
\(123\) | 4.56477 | − | 3.50267i | 0.411592 | − | 0.315825i | ||||
\(124\) | 9.73388 | − | 0.898553i | 0.874129 | − | 0.0806924i | ||||
\(125\) | 3.44347 | + | 8.31328i | 0.307994 | + | 0.743562i | ||||
\(126\) | 3.71400 | + | 0.454072i | 0.330870 | + | 0.0404519i | ||||
\(127\) | −13.6928 | −1.21504 | −0.607521 | − | 0.794304i | \(-0.707836\pi\) | ||||
−0.607521 | + | 0.794304i | \(0.707836\pi\) | |||||||
\(128\) | 2.26343 | − | 11.0850i | 0.200061 | − | 0.979783i | ||||
\(129\) | −4.50744 | + | 7.80711i | −0.396858 | + | 0.687378i | ||||
\(130\) | −6.86878 | + | 0.316362i | −0.602432 | + | 0.0277468i | ||||
\(131\) | 7.99546 | − | 10.4199i | 0.698567 | − | 0.910390i | −0.300491 | − | 0.953785i | \(-0.597151\pi\) |
0.999058 | + | 0.0433947i | \(0.0138173\pi\) | |||||||
\(132\) | 4.64381 | − | 10.0844i | 0.404191 | − | 0.877731i | ||||
\(133\) | 0.730771 | − | 19.8590i | 0.0633658 | − | 1.72199i | ||||
\(134\) | −4.39174 | + | 6.30410i | −0.379388 | + | 0.544591i | ||||
\(135\) | 0.258754 | − | 0.965681i | 0.0222700 | − | 0.0831126i | ||||
\(136\) | 19.0160 | + | 7.71727i | 1.63061 | + | 0.661750i | ||||
\(137\) | 5.76542 | + | 21.5168i | 0.492573 | + | 1.83831i | 0.543220 | + | 0.839590i | \(0.317205\pi\) |
−0.0506472 | + | 0.998717i | \(0.516128\pi\) | |||||||
\(138\) | −1.49015 | + | 1.25647i | −0.126850 | + | 0.106958i | ||||
\(139\) | −5.41216 | + | 13.0661i | −0.459053 | + | 1.10825i | 0.509728 | + | 0.860336i | \(0.329746\pi\) |
−0.968781 | + | 0.247917i | \(0.920254\pi\) | |||||||
\(140\) | 5.17774 | + | 1.08483i | 0.437599 | + | 0.0916845i | ||||
\(141\) | −7.43189 | + | 3.07839i | −0.625878 | + | 0.259247i | ||||
\(142\) | −16.7948 | + | 5.33959i | −1.40939 | + | 0.448088i | ||||
\(143\) | 23.3800 | + | 13.4985i | 1.95514 | + | 1.12880i | ||||
\(144\) | −2.26285 | + | 3.29841i | −0.188571 | + | 0.274868i | ||||
\(145\) | −1.80075 | + | 1.03966i | −0.149544 | + | 0.0863393i | ||||
\(146\) | −2.31564 | − | 0.507556i | −0.191644 | − | 0.0420057i | ||||
\(147\) | 3.14685 | − | 6.25278i | 0.259548 | − | 0.515721i | ||||
\(148\) | 6.57543 | − | 6.08341i | 0.540497 | − | 0.500053i | ||||
\(149\) | −0.136787 | + | 0.0180084i | −0.0112060 | + | 0.00147530i | −0.136127 | − | 0.990691i | \(-0.543466\pi\) |
0.124921 | + | 0.992167i | \(0.460132\pi\) | |||||||
\(150\) | −1.92228 | + | 5.32099i | −0.156953 | + | 0.434457i | ||||
\(151\) | 2.58747 | + | 9.65658i | 0.210566 | + | 0.785841i | 0.987681 | + | 0.156483i | \(0.0500156\pi\) |
−0.777115 | + | 0.629358i | \(0.783318\pi\) | |||||||
\(152\) | 18.4740 | + | 10.4899i | 1.49844 | + | 0.850846i | ||||
\(153\) | −5.13057 | − | 5.13057i | −0.414782 | − | 0.414782i | ||||
\(154\) | −14.8220 | − | 14.5505i | −1.19439 | − | 1.17251i | ||||
\(155\) | −4.51444 | − | 1.86994i | −0.362609 | − | 0.150197i | ||||
\(156\) | −7.48090 | − | 6.21647i | −0.598951 | − | 0.497716i | ||||
\(157\) | 13.8742 | + | 1.82657i | 1.10728 | + | 0.145776i | 0.661920 | − | 0.749575i | \(-0.269742\pi\) |
0.445361 | + | 0.895351i | \(0.353075\pi\) | |||||||
\(158\) | −0.0797036 | − | 1.73050i | −0.00634088 | − | 0.137672i | ||||
\(159\) | 1.91320 | + | 3.31376i | 0.151727 | + | 0.262799i | ||||
\(160\) | −3.58316 | + | 4.37548i | −0.283273 | + | 0.345912i | ||||
\(161\) | 1.27065 | + | 3.41803i | 0.100141 | + | 0.269379i | ||||
\(162\) | 1.19091 | − | 0.762708i | 0.0935671 | − | 0.0599240i | ||||
\(163\) | 7.80933 | − | 10.1773i | 0.611674 | − | 0.797149i | −0.380128 | − | 0.924934i | \(-0.624120\pi\) |
0.991802 | + | 0.127785i | \(0.0407868\pi\) | |||||||
\(164\) | 11.3421 | + | 1.94402i | 0.885673 | + | 0.151802i | ||||
\(165\) | −4.40288 | + | 3.37845i | −0.342764 | + | 0.263012i | ||||
\(166\) | 1.45696 | − | 17.1248i | 0.113082 | − | 1.32914i | ||||
\(167\) | −15.9063 | − | 15.9063i | −1.23086 | − | 1.23086i | −0.963632 | − | 0.267232i | \(-0.913891\pi\) |
−0.267232 | − | 0.963632i | \(-0.586109\pi\) | |||||||
\(168\) | 4.37782 | + | 6.06916i | 0.337756 | + | 0.468246i | ||||
\(169\) | 7.53215 | − | 7.53215i | 0.579396 | − | 0.579396i | ||||
\(170\) | −6.61285 | − | 7.84271i | −0.507182 | − | 0.601508i | ||||
\(171\) | −4.57244 | − | 5.95893i | −0.349664 | − | 0.455690i | ||||
\(172\) | −17.5835 | + | 3.98653i | −1.34073 | + | 0.303970i | ||||
\(173\) | −5.98164 | − | 4.58987i | −0.454776 | − | 0.348962i | 0.355833 | − | 0.934549i | \(-0.384197\pi\) |
−0.810609 | + | 0.585588i | \(0.800864\pi\) | |||||||
\(174\) | −2.87315 | − | 0.629754i | −0.217813 | − | 0.0477416i | ||||
\(175\) | 8.15450 | + | 6.74777i | 0.616422 | + | 0.510084i | ||||
\(176\) | 21.1119 | − | 6.87934i | 1.59137 | − | 0.518550i | ||||
\(177\) | −2.13331 | + | 1.23167i | −0.160350 | + | 0.0925780i | ||||
\(178\) | −4.82006 | − | 4.39560i | −0.361279 | − | 0.329464i | ||||
\(179\) | 1.62087 | − | 12.3118i | 0.121150 | − | 0.920224i | −0.817639 | − | 0.575731i | \(-0.804718\pi\) |
0.938789 | − | 0.344493i | \(-0.111949\pi\) | |||||||
\(180\) | 1.76914 | − | 0.931739i | 0.131864 | − | 0.0694477i | ||||
\(181\) | −5.50862 | + | 13.2990i | −0.409453 | + | 0.988506i | 0.575829 | + | 0.817570i | \(0.304679\pi\) |
−0.985282 | + | 0.170936i | \(0.945321\pi\) | |||||||
\(182\) | −15.6742 | + | 9.24376i | −1.16185 | + | 0.685193i | ||||
\(183\) | 6.70590 | − | 6.70590i | 0.495715 | − | 0.495715i | ||||
\(184\) | −3.86855 | − | 0.481086i | −0.285193 | − | 0.0354661i | ||||
\(185\) | −4.32524 | + | 1.15895i | −0.317998 | + | 0.0852074i | ||||
\(186\) | −2.93618 | − | 6.25754i | −0.215291 | − | 0.458825i | ||||
\(187\) | 5.25725 | + | 39.9328i | 0.384448 | + | 2.92017i | ||||
\(188\) | −14.6134 | − | 6.72942i | −1.06579 | − | 0.490794i | ||||
\(189\) | −0.590330 | − | 2.57905i | −0.0429402 | − | 0.187598i | ||||
\(190\) | −5.72729 | − | 8.94277i | −0.415502 | − | 0.648777i | ||||
\(191\) | 3.52560 | + | 6.10652i | 0.255103 | + | 0.441852i | 0.964924 | − | 0.262531i | \(-0.0845571\pi\) |
−0.709820 | + | 0.704383i | \(0.751224\pi\) | |||||||
\(192\) | −7.91575 | + | 1.15794i | −0.571270 | + | 0.0835674i | ||||
\(193\) | 10.3395 | − | 17.9086i | 0.744255 | − | 1.28909i | −0.206287 | − | 0.978492i | \(-0.566138\pi\) |
0.950542 | − | 0.310596i | \(-0.100529\pi\) | |||||||
\(194\) | 2.15139 | − | 4.15702i | 0.154461 | − | 0.298457i | ||||
\(195\) | 1.86065 | + | 4.49200i | 0.133244 | + | 0.321679i | ||||
\(196\) | 13.4537 | − | 3.87285i | 0.960976 | − | 0.276632i | ||||
\(197\) | −15.2892 | − | 6.33301i | −1.08931 | − | 0.451208i | −0.235545 | − | 0.971863i | \(-0.575688\pi\) |
−0.853767 | + | 0.520655i | \(0.825688\pi\) | |||||||
\(198\) | −7.82220 | − | 0.665501i | −0.555899 | − | 0.0472951i | ||||
\(199\) | 7.83574 | − | 2.09958i | 0.555461 | − | 0.148835i | 0.0298406 | − | 0.999555i | \(-0.490500\pi\) |
0.525620 | + | 0.850719i | \(0.323833\pi\) | |||||||
\(200\) | −10.4225 | + | 4.40503i | −0.736981 | + | 0.311483i | ||||
\(201\) | 5.24761 | + | 1.40609i | 0.370138 | + | 0.0991781i | ||||
\(202\) | −0.143438 | − | 0.802250i | −0.0100923 | − | 0.0564461i | ||||
\(203\) | −2.92477 | + | 4.66114i | −0.205279 | + | 0.327148i | ||||
\(204\) | 0.563609 | − | 14.5005i | 0.0394605 | − | 1.01524i | ||||
\(205\) | −4.56362 | − | 3.50179i | −0.318737 | − | 0.244575i | ||||
\(206\) | 3.09831 | + | 2.82548i | 0.215870 | + | 0.196860i | ||||
\(207\) | 1.19362 | + | 0.689137i | 0.0829624 | + | 0.0478984i | ||||
\(208\) | −1.03447 | − | 19.4258i | −0.0717279 | − | 1.34694i | ||||
\(209\) | 41.6947i | 2.88408i | ||||||||
\(210\) | −0.522523 | − | 3.70404i | −0.0360575 | − | 0.255603i | ||||
\(211\) | 5.15822 | − | 2.13661i | 0.355107 | − | 0.147090i | −0.197997 | − | 0.980203i | \(-0.563443\pi\) |
0.553103 | + | 0.833113i | \(0.313443\pi\) | |||||||
\(212\) | −2.26630 | + | 7.30954i | −0.155650 | + | 0.502021i | ||||
\(213\) | 7.58606 | + | 9.88635i | 0.519789 | + | 0.677402i | ||||
\(214\) | −2.77609 | + | 7.68439i | −0.189770 | + | 0.525294i | ||||
\(215\) | 8.70550 | + | 2.33263i | 0.593710 | + | 0.159084i | ||||
\(216\) | 2.73723 | + | 0.712425i | 0.186245 | + | 0.0484744i | ||||
\(217\) | −12.8742 | + | 1.21529i | −0.873960 | + | 0.0824993i | ||||
\(218\) | 3.38084 | + | 2.35525i | 0.228979 | + | 0.159518i | ||||
\(219\) | 0.218798 | + | 1.66194i | 0.0147850 | + | 0.112303i | ||||
\(220\) | −10.9399 | − | 1.87507i | −0.737567 | − | 0.126417i | ||||
\(221\) | 34.9852 | + | 4.60588i | 2.35336 | + | 0.309825i | ||||
\(222\) | −5.62548 | − | 2.91136i | −0.377558 | − | 0.195398i | ||||
\(223\) | −8.80421 | −0.589573 | −0.294787 | − | 0.955563i | \(-0.595249\pi\) | ||||
−0.294787 | + | 0.955563i | \(0.595249\pi\) | |||||||
\(224\) | −2.96392 | + | 14.6702i | −0.198035 | + | 0.980195i | ||||
\(225\) | 4.00051 | 0.266700 | ||||||||
\(226\) | −12.3612 | − | 6.39732i | −0.822258 | − | 0.425543i | ||||
\(227\) | −14.9133 | − | 1.96337i | −0.989828 | − | 0.130313i | −0.381814 | − | 0.924239i | \(-0.624700\pi\) |
−0.608014 | + | 0.793926i | \(0.708034\pi\) | |||||||
\(228\) | 2.53775 | − | 14.8062i | 0.168067 | − | 0.980565i | ||||
\(229\) | −3.83871 | − | 29.1579i | −0.253669 | − | 1.92681i | −0.360958 | − | 0.932582i | \(-0.617550\pi\) |
0.107289 | − | 0.994228i | \(-0.465783\pi\) | |||||||
\(230\) | 1.59894 | + | 1.11390i | 0.105431 | + | 0.0734481i | ||||
\(231\) | −6.11559 | + | 13.3530i | −0.402376 | + | 0.878565i | ||||
\(232\) | −2.97784 | − | 5.07334i | −0.195505 | − | 0.333081i | ||||
\(233\) | −5.97183 | − | 1.60015i | −0.391228 | − | 0.104829i | 0.0578423 | − | 0.998326i | \(-0.481578\pi\) |
−0.449070 | + | 0.893497i | \(0.648245\pi\) | |||||||
\(234\) | −2.33688 | + | 6.46863i | −0.152767 | + | 0.422867i | ||||
\(235\) | 4.89577 | + | 6.38029i | 0.319365 | + | 0.416204i | ||||
\(236\) | −4.70569 | − | 1.45898i | −0.306314 | − | 0.0949717i | ||||
\(237\) | −1.13171 | + | 0.468768i | −0.0735121 | + | 0.0304497i | ||||
\(238\) | −25.1769 | − | 10.1570i | −1.63197 | − | 0.658378i | ||||
\(239\) | − | 1.39189i | − | 0.0900340i | −0.998986 | − | 0.0450170i | \(-0.985666\pi\) | ||
0.998986 | − | 0.0450170i | \(-0.0143342\pi\) | |||||||
\(240\) | 3.77074 | + | 1.33171i | 0.243400 | + | 0.0859617i | ||||
\(241\) | −8.19716 | − | 4.73264i | −0.528026 | − | 0.304856i | 0.212186 | − | 0.977229i | \(-0.431942\pi\) |
−0.740212 | + | 0.672373i | \(0.765275\pi\) | |||||||
\(242\) | 20.7055 | + | 18.8822i | 1.33100 | + | 1.21379i | ||||
\(243\) | −0.793353 | − | 0.608761i | −0.0508936 | − | 0.0390521i | ||||
\(244\) | 18.9528 | + | 0.736664i | 1.21333 | + | 0.0471601i | ||||
\(245\) | −6.85246 | − | 1.42093i | −0.437787 | − | 0.0907797i | ||||
\(246\) | −1.43215 | − | 8.01004i | −0.0913107 | − | 0.510701i | ||||
\(247\) | 35.2841 | + | 9.45436i | 2.24508 | + | 0.601566i | ||||
\(248\) | 5.19854 | − | 12.8096i | 0.330108 | − | 0.813413i | ||||
\(249\) | −11.7387 | + | 3.14538i | −0.743912 | + | 0.199331i | ||||
\(250\) | 12.6796 | + | 1.07876i | 0.801929 | + | 0.0682270i | ||||
\(251\) | −4.28882 | − | 1.77649i | −0.270708 | − | 0.112131i | 0.243200 | − | 0.969976i | \(-0.421803\pi\) |
−0.513908 | + | 0.857845i | \(0.671803\pi\) | |||||||
\(252\) | 2.98444 | − | 4.36957i | 0.188002 | − | 0.275257i | ||||
\(253\) | −2.92789 | − | 7.06856i | −0.184075 | − | 0.444397i | ||||
\(254\) | −8.90045 | + | 17.1979i | −0.558464 | + | 1.07909i | ||||
\(255\) | −3.62695 | + | 6.28205i | −0.227128 | + | 0.393397i | ||||
\(256\) | −12.4513 | − | 10.0482i | −0.778205 | − | 0.628010i | ||||
\(257\) | −4.66350 | − | 8.07742i | −0.290901 | − | 0.503855i | 0.683122 | − | 0.730304i | \(-0.260622\pi\) |
−0.974023 | + | 0.226449i | \(0.927288\pi\) | |||||||
\(258\) | 6.87571 | + | 10.7359i | 0.428063 | + | 0.668391i | ||||
\(259\) | −8.68183 | + | 8.06556i | −0.539462 | + | 0.501169i | ||||
\(260\) | −4.06742 | + | 8.83270i | −0.252251 | + | 0.547781i | ||||
\(261\) | 0.271475 | + | 2.06206i | 0.0168039 | + | 0.127638i | ||||
\(262\) | −7.89007 | − | 16.8152i | −0.487450 | − | 1.03884i | ||||
\(263\) | 26.8996 | − | 7.20774i | 1.65870 | − | 0.444448i | 0.696673 | − | 0.717389i | \(-0.254663\pi\) |
0.962031 | + | 0.272941i | \(0.0879964\pi\) | |||||||
\(264\) | −9.64726 | − | 12.3875i | −0.593748 | − | 0.762395i | ||||
\(265\) | 2.70499 | − | 2.70499i | 0.166166 | − | 0.166166i | ||||
\(266\) | −24.4675 | − | 13.8263i | −1.50020 | − | 0.847746i | ||||
\(267\) | −1.76521 | + | 4.26159i | −0.108029 | + | 0.260805i | ||||
\(268\) | 5.06316 | + | 9.61366i | 0.309282 | + | 0.587248i | ||||
\(269\) | −0.0594769 | + | 0.451772i | −0.00362637 | + | 0.0275450i | −0.993162 | − | 0.116741i | \(-0.962755\pi\) |
0.989536 | + | 0.144286i | \(0.0460886\pi\) | |||||||
\(270\) | −1.04469 | − | 0.952691i | −0.0635776 | − | 0.0579789i | ||||
\(271\) | 3.83591 | − | 2.21466i | 0.233015 | − | 0.134531i | −0.378947 | − | 0.925418i | \(-0.623714\pi\) |
0.611962 | + | 0.790887i | \(0.290380\pi\) | |||||||
\(272\) | 22.0533 | − | 18.8675i | 1.33718 | − | 1.14401i | ||||
\(273\) | 9.91327 | + | 8.20314i | 0.599979 | + | 0.496476i | ||||
\(274\) | 30.7723 | + | 6.74486i | 1.85902 | + | 0.407472i | ||||
\(275\) | −17.6182 | − | 13.5189i | −1.06242 | − | 0.815221i | ||||
\(276\) | 0.609496 | + | 2.68832i | 0.0366873 | + | 0.161818i | ||||
\(277\) | −17.9117 | − | 23.3429i | −1.07621 | − | 1.40254i | −0.909088 | − | 0.416603i | \(-0.863220\pi\) |
−0.167118 | − | 0.985937i | \(-0.553446\pi\) | |||||||
\(278\) | 12.8928 | + | 15.2906i | 0.773261 | + | 0.917072i | ||||
\(279\) | −3.45608 | + | 3.45608i | −0.206910 | + | 0.206910i | ||||
\(280\) | 4.72810 | − | 5.79800i | 0.282558 | − | 0.346497i | ||||
\(281\) | 4.45634 | + | 4.45634i | 0.265843 | + | 0.265843i | 0.827423 | − | 0.561580i | \(-0.189806\pi\) |
−0.561580 | + | 0.827423i | \(0.689806\pi\) | |||||||
\(282\) | −0.964390 | + | 11.3353i | −0.0574286 | + | 0.675007i | ||||
\(283\) | −21.8199 | + | 16.7430i | −1.29706 | + | 0.995267i | −0.297884 | + | 0.954602i | \(0.596281\pi\) |
−0.999173 | + | 0.0406648i | \(0.987052\pi\) | |||||||
\(284\) | −4.21034 | + | 24.5647i | −0.249838 | + | 1.45765i | ||||
\(285\) | −4.57129 | + | 5.95742i | −0.270780 | + | 0.352887i | ||||
\(286\) | 32.1510 | − | 20.5908i | 1.90113 | − | 1.21756i | ||||
\(287\) | −15.0095 | − | 2.54067i | −0.885985 | − | 0.149971i | ||||
\(288\) | 2.67187 | + | 4.98609i | 0.157442 | + | 0.293808i | ||||
\(289\) | 17.8228 | + | 30.8700i | 1.04840 | + | 1.81588i | ||||
\(290\) | 0.135295 | + | 2.93750i | 0.00794481 | + | 0.172496i | ||||
\(291\) | −3.28147 | − | 0.432013i | −0.192363 | − | 0.0253251i | ||||
\(292\) | −2.14267 | + | 2.57849i | −0.125390 | + | 0.150894i | ||||
\(293\) | 0.355032 | + | 0.147059i | 0.0207412 | + | 0.00859129i | 0.393030 | − | 0.919526i | \(-0.371427\pi\) |
−0.372289 | + | 0.928117i | \(0.621427\pi\) | |||||||
\(294\) | −5.80790 | − | 8.01675i | −0.338724 | − | 0.467546i | ||||
\(295\) | 1.74140 | + | 1.74140i | 0.101388 | + | 0.101388i | ||||
\(296\) | −3.36656 | − | 12.2129i | −0.195677 | − | 0.709860i | ||||
\(297\) | 1.43673 | + | 5.36196i | 0.0833677 | + | 0.311133i | ||||
\(298\) | −0.0662947 | + | 0.183508i | −0.00384035 | + | 0.0106303i | ||||
\(299\) | −6.64567 | + | 0.874919i | −0.384329 | + | 0.0505979i | ||||
\(300\) | 5.43357 | + | 5.87304i | 0.313707 | + | 0.339080i | ||||
\(301\) | 23.2498 | − | 5.32175i | 1.34010 | − | 0.306741i | ||||
\(302\) | 13.8104 | + | 3.02704i | 0.794697 | + | 0.174187i | ||||
\(303\) | −0.499067 | + | 0.288136i | −0.0286706 | + | 0.0165530i | ||||
\(304\) | 25.1834 | − | 16.3845i | 1.44437 | − | 0.939715i | ||||
\(305\) | −8.21094 | − | 4.74059i | −0.470157 | − | 0.271445i | ||||
\(306\) | −9.77882 | + | 3.10899i | −0.559018 | + | 0.177729i | ||||
\(307\) | −17.1573 | + | 7.10680i | −0.979221 | + | 0.405607i | −0.814137 | − | 0.580673i | \(-0.802790\pi\) |
−0.165084 | + | 0.986280i | \(0.552790\pi\) | |||||||
\(308\) | −27.9095 | + | 9.15822i | −1.59029 | + | 0.521838i | ||||
\(309\) | 1.13467 | − | 2.73933i | 0.0645491 | − | 0.155835i | ||||
\(310\) | −5.28304 | + | 4.45458i | −0.300056 | + | 0.253003i | ||||
\(311\) | −2.50704 | − | 9.35639i | −0.142161 | − | 0.530552i | −0.999865 | − | 0.0164089i | \(-0.994777\pi\) |
0.857704 | − | 0.514143i | \(-0.171890\pi\) | |||||||
\(312\) | −12.6704 | + | 5.35511i | −0.717321 | + | 0.303173i | ||||
\(313\) | 1.13989 | − | 4.25412i | 0.0644302 | − | 0.240457i | −0.926199 | − | 0.377035i | \(-0.876944\pi\) |
0.990629 | + | 0.136578i | \(0.0436104\pi\) | |||||||
\(314\) | 11.3125 | − | 16.2384i | 0.638400 | − | 0.916388i | ||||
\(315\) | −2.33779 | + | 1.23741i | −0.131720 | + | 0.0697202i | ||||
\(316\) | −2.22529 | − | 1.02474i | −0.125182 | − | 0.0576459i | ||||
\(317\) | −2.25382 | + | 2.93724i | −0.126587 | + | 0.164972i | −0.852347 | − | 0.522976i | \(-0.824822\pi\) |
0.725760 | + | 0.687948i | \(0.241488\pi\) | |||||||
\(318\) | 5.40562 | − | 0.248972i | 0.303132 | − | 0.0139617i | ||||
\(319\) | 5.77275 | − | 9.99869i | 0.323212 | − | 0.559819i | ||||
\(320\) | 3.16643 | + | 7.34447i | 0.177009 | + | 0.410569i | ||||
\(321\) | 5.77739 | 0.322463 | ||||||||
\(322\) | 5.11892 | + | 0.625836i | 0.285266 | + | 0.0348765i | ||||
\(323\) | 20.8556 | + | 50.3498i | 1.16043 | + | 2.80154i | ||||
\(324\) | −0.183842 | − | 1.99153i | −0.0102134 | − | 0.110641i | ||||
\(325\) | −15.4353 | + | 11.8440i | −0.856198 | + | 0.656984i | ||||
\(326\) | −7.70639 | − | 16.4237i | −0.426817 | − | 0.909625i | ||||
\(327\) | 0.754076 | − | 2.81425i | 0.0417005 | − | 0.155628i | ||||
\(328\) | 9.81414 | − | 12.9819i | 0.541895 | − | 0.716805i | ||||
\(329\) | 19.3501 | + | 8.86221i | 1.06681 | + | 0.488589i | ||||
\(330\) | 1.38136 | + | 7.72595i | 0.0760413 | + | 0.425300i | ||||
\(331\) | −3.34564 | + | 0.440462i | −0.183893 | + | 0.0242100i | −0.221910 | − | 0.975067i | \(-0.571229\pi\) |
0.0380171 | + | 0.999277i | \(0.487896\pi\) | |||||||
\(332\) | −20.5614 | − | 12.9612i | −1.12845 | − | 0.711338i | ||||
\(333\) | −0.584621 | + | 4.44064i | −0.0320370 | + | 0.243345i | ||||
\(334\) | −30.3172 | + | 9.63877i | −1.65888 | + | 0.527410i | ||||
\(335\) | − | 5.43135i | − | 0.296746i | ||||||
\(336\) | 10.4684 | − | 1.55346i | 0.571096 | − | 0.0847482i | ||||
\(337\) | − | 4.00311i | − | 0.218063i | −0.994038 | − | 0.109032i | \(-0.965225\pi\) | ||
0.994038 | − | 0.109032i | \(-0.0347750\pi\) | |||||||
\(338\) | −4.56428 | − | 14.3562i | −0.248264 | − | 0.780874i | ||||
\(339\) | −1.28463 | + | 9.75770i | −0.0697713 | + | 0.529966i | ||||
\(340\) | −14.1487 | + | 3.20779i | −0.767321 | + | 0.173967i | ||||
\(341\) | 26.8997 | − | 3.54141i | 1.45670 | − | 0.191778i | ||||
\(342\) | −10.4564 | + | 1.86955i | −0.565419 | + | 0.101094i | ||||
\(343\) | −17.7869 | + | 5.16008i | −0.960402 | + | 0.278618i | ||||
\(344\) | −6.42242 | + | 24.6758i | −0.346274 | + | 1.33043i | ||||
\(345\) | 0.356634 | − | 1.33097i | 0.0192005 | − | 0.0716573i | ||||
\(346\) | −9.65291 | + | 4.52937i | −0.518944 | + | 0.243501i | ||||
\(347\) | −12.1711 | + | 9.33919i | −0.653377 | + | 0.501354i | −0.881442 | − | 0.472292i | \(-0.843427\pi\) |
0.228065 | + | 0.973646i | \(0.426760\pi\) | |||||||
\(348\) | −2.65853 | + | 3.19928i | −0.142512 | + | 0.171499i | ||||
\(349\) | 8.48569 | + | 20.4863i | 0.454229 | + | 1.09661i | 0.970699 | + | 0.240300i | \(0.0772458\pi\) |
−0.516470 | + | 0.856305i | \(0.672754\pi\) | |||||||
\(350\) | 13.7756 | − | 5.85580i | 0.736335 | − | 0.313005i | ||||
\(351\) | 4.86334 | 0.259586 | ||||||||
\(352\) | 5.08259 | − | 30.9878i | 0.270903 | − | 1.65165i | ||||
\(353\) | 0.665073 | − | 1.15194i | 0.0353982 | − | 0.0613116i | −0.847784 | − | 0.530342i | \(-0.822063\pi\) |
0.883182 | + | 0.469031i | \(0.155397\pi\) | |||||||
\(354\) | 0.160282 | + | 3.48000i | 0.00851888 | + | 0.184960i | ||||
\(355\) | 7.58414 | − | 9.88385i | 0.402525 | − | 0.524580i | ||||
\(356\) | −8.65388 | + | 3.19673i | −0.458655 | + | 0.169426i | ||||
\(357\) | −0.705928 | + | 19.1839i | −0.0373617 | + | 1.01532i | ||||
\(358\) | −14.4098 | − | 10.0385i | −0.761579 | − | 0.530553i | ||||
\(359\) | −5.88079 | + | 21.9474i | −0.310376 | + | 1.15834i | 0.617842 | + | 0.786303i | \(0.288007\pi\) |
−0.928218 | + | 0.372037i | \(0.878659\pi\) | |||||||
\(360\) | −0.0202937 | − | 2.82764i | −0.00106957 | − | 0.149030i | ||||
\(361\) | 9.68398 | + | 36.1411i | 0.509683 | + | 1.90216i | ||||
\(362\) | 13.1226 | + | 15.5632i | 0.689710 | + | 0.817983i | ||||
\(363\) | 7.58281 | − | 18.3065i | 0.397994 | − | 0.960843i | ||||
\(364\) | 1.42160 | + | 25.6951i | 0.0745122 | + | 1.34679i | ||||
\(365\) | 1.54829 | − | 0.641321i | 0.0810410 | − | 0.0335683i | ||||
\(366\) | −4.06360 | − | 12.7814i | −0.212408 | − | 0.668094i | ||||
\(367\) | 22.8227 | + | 13.1767i | 1.19133 | + | 0.687817i | 0.958609 | − | 0.284725i | \(-0.0919023\pi\) |
0.232725 | + | 0.972542i | \(0.425236\pi\) | |||||||
\(368\) | −3.11883 | + | 4.54612i | −0.162580 | + | 0.236983i | ||||
\(369\) | −4.98291 | + | 2.87689i | −0.259400 | + | 0.149765i | ||||
\(370\) | −1.35583 | + | 6.18575i | −0.0704863 | + | 0.321582i | ||||
\(371\) | 2.97803 | − | 9.67579i | 0.154612 | − | 0.502342i | ||||
\(372\) | −9.76789 | − | 0.379661i | −0.506442 | − | 0.0196845i | ||||
\(373\) | −22.4844 | + | 2.96013i | −1.16420 | + | 0.153270i | −0.687760 | − | 0.725938i | \(-0.741406\pi\) |
−0.476439 | + | 0.879208i | \(0.658073\pi\) | |||||||
\(374\) | 53.5721 | + | 19.3536i | 2.77014 | + | 1.00075i | ||||
\(375\) | −2.32891 | − | 8.69162i | −0.120265 | − | 0.448833i | ||||
\(376\) | −17.9509 | + | 13.9800i | −0.925746 | + | 0.720965i | ||||
\(377\) | −7.15240 | − | 7.15240i | −0.368368 | − | 0.368368i | ||||
\(378\) | −3.62296 | − | 0.934962i | −0.186345 | − | 0.0480892i | ||||
\(379\) | −13.7692 | − | 5.70340i | −0.707277 | − | 0.292964i | −9.99269e−5 | − | 1.00000i | \(-0.500032\pi\) |
−0.707177 | + | 0.707036i | \(0.750032\pi\) | |||||||
\(380\) | −14.9547 | + | 1.38050i | −0.767162 | + | 0.0708181i | ||||
\(381\) | 13.5757 | + | 1.78727i | 0.695503 | + | 0.0915647i | ||||
\(382\) | 9.96134 | − | 0.458800i | 0.509667 | − | 0.0234742i | ||||
\(383\) | −1.28468 | − | 2.22514i | −0.0656442 | − | 0.113699i | 0.831335 | − | 0.555771i | \(-0.187577\pi\) |
−0.896980 | + | 0.442072i | \(0.854244\pi\) | |||||||
\(384\) | −3.69095 | + | 10.6947i | −0.188353 | + | 0.545762i | ||||
\(385\) | 14.4772 | + | 2.45056i | 0.737827 | + | 0.124892i | ||||
\(386\) | −15.7721 | − | 24.6270i | −0.802777 | − | 1.25348i | ||||
\(387\) | 5.48791 | − | 7.15198i | 0.278966 | − | 0.363556i | ||||
\(388\) | −3.82273 | − | 5.40420i | −0.194070 | − | 0.274357i | ||||
\(389\) | −15.0633 | + | 11.5585i | −0.763740 | + | 0.586038i | −0.915471 | − | 0.402384i | \(-0.868182\pi\) |
0.151731 | + | 0.988422i | \(0.451515\pi\) | |||||||
\(390\) | 6.85131 | + | 0.582900i | 0.346929 | + | 0.0295163i | ||||
\(391\) | −7.07134 | − | 7.07134i | −0.357613 | − | 0.357613i | ||||
\(392\) | 3.88077 | − | 19.4149i | 0.196008 | − | 0.980602i | ||||
\(393\) | −9.28713 | + | 9.28713i | −0.468474 | + | 0.468474i | ||||
\(394\) | −17.8923 | + | 15.0865i | −0.901399 | + | 0.760046i | ||||
\(395\) | 0.745513 | + | 0.971571i | 0.0375108 | + | 0.0488851i | ||||
\(396\) | −5.92035 | + | 9.39195i | −0.297509 | + | 0.471963i | ||||
\(397\) | 2.56905 | + | 1.97130i | 0.128937 | + | 0.0989369i | 0.671217 | − | 0.741261i | \(-0.265772\pi\) |
−0.542280 | + | 0.840198i | \(0.682439\pi\) | |||||||
\(398\) | 2.45626 | − | 11.2063i | 0.123121 | − | 0.561720i | ||||
\(399\) | −3.31663 | + | 19.5937i | −0.166039 | + | 0.980911i | ||||
\(400\) | −1.24207 | + | 15.9537i | −0.0621033 | + | 0.797687i | ||||
\(401\) | 14.8471 | − | 8.57197i | 0.741428 | − | 0.428064i | −0.0811602 | − | 0.996701i | \(-0.525863\pi\) |
0.822588 | + | 0.568637i | \(0.192529\pi\) | |||||||
\(402\) | 5.17702 | − | 5.67693i | 0.258206 | − | 0.283139i | ||||
\(403\) | 3.10264 | − | 23.5669i | 0.154553 | − | 1.17395i | ||||
\(404\) | −1.10085 | − | 0.341314i | −0.0547692 | − | 0.0169810i | ||||
\(405\) | −0.382587 | + | 0.923646i | −0.0190109 | + | 0.0458963i | ||||
\(406\) | 3.95318 | + | 6.70324i | 0.196193 | + | 0.332676i | ||||
\(407\) | 17.5809 | − | 17.5809i | 0.871454 | − | 0.871454i | ||||
\(408\) | −17.8460 | − | 10.1333i | −0.883509 | − | 0.501675i | ||||
\(409\) | 10.5224 | − | 2.81948i | 0.520301 | − | 0.139414i | 0.0108953 | − | 0.999941i | \(-0.496532\pi\) |
0.509406 | + | 0.860526i | \(0.329865\pi\) | |||||||
\(410\) | −7.36457 | + | 3.45563i | −0.363710 | + | 0.170661i | ||||
\(411\) | −2.90758 | − | 22.0853i | −0.143421 | − | 1.08939i | ||||
\(412\) | 5.56267 | − | 2.05484i | 0.274053 | − | 0.101235i | ||||
\(413\) | 6.22902 | + | 1.91718i | 0.306510 | + | 0.0943383i | ||||
\(414\) | 1.64141 | − | 1.05122i | 0.0806708 | − | 0.0516647i | ||||
\(415\) | 6.07488 | + | 10.5220i | 0.298204 | + | 0.516504i | ||||
\(416\) | −25.0709 | − | 11.3277i | −1.22920 | − | 0.555385i | ||||
\(417\) | 7.07133 | − | 12.2479i | 0.346284 | − | 0.599782i | ||||
\(418\) | 52.3678 | + | 27.1019i | 2.56139 | + | 1.32560i | ||||
\(419\) | 8.32202 | + | 20.0911i | 0.406557 | + | 0.981516i | 0.986037 | + | 0.166529i | \(0.0532560\pi\) |
−0.579479 | + | 0.814987i | \(0.696744\pi\) | |||||||
\(420\) | −4.99185 | − | 1.75138i | −0.243577 | − | 0.0854584i | ||||
\(421\) | 31.1709 | + | 12.9114i | 1.51917 | + | 0.629263i | 0.977426 | − | 0.211278i | \(-0.0677624\pi\) |
0.541749 | + | 0.840541i | \(0.317762\pi\) | |||||||
\(422\) | 0.669351 | − | 7.86744i | 0.0325835 | − | 0.382981i | ||||
\(423\) | 7.77012 | − | 2.08200i | 0.377796 | − | 0.101230i | ||||
\(424\) | 7.70754 | + | 7.59769i | 0.374311 | + | 0.368977i | ||||
\(425\) | −28.0375 | − | 7.51263i | −1.36002 | − | 0.364416i | ||||
\(426\) | 17.3481 | − | 3.10174i | 0.840517 | − | 0.150280i | ||||
\(427\) | −25.0742 | − | 0.922682i | −1.21343 | − | 0.0446517i | ||||
\(428\) | 7.84697 | + | 8.48163i | 0.379298 | + | 0.409975i | ||||
\(429\) | −21.4181 | − | 16.4347i | −1.03408 | − | 0.793474i | ||||
\(430\) | 8.58839 | − | 9.41771i | 0.414169 | − | 0.454162i | ||||
\(431\) | −34.3791 | − | 19.8488i | −1.65598 | − | 0.956082i | −0.974541 | − | 0.224210i | \(-0.928020\pi\) |
−0.681442 | − | 0.731872i | \(-0.738647\pi\) | |||||||
\(432\) | 2.67402 | − | 2.97483i | 0.128654 | − | 0.143127i | ||||
\(433\) | − | 34.3482i | − | 1.65067i | −0.564645 | − | 0.825334i | \(-0.690987\pi\) | ||
0.564645 | − | 0.825334i | \(-0.309013\pi\) | |||||||
\(434\) | −6.84198 | + | 16.9597i | −0.328425 | + | 0.814094i | ||||
\(435\) | 1.92105 | − | 0.795724i | 0.0921072 | − | 0.0381520i | ||||
\(436\) | 5.15573 | − | 2.71533i | 0.246914 | − | 0.130041i | ||||
\(437\) | −6.30208 | − | 8.21304i | −0.301470 | − | 0.392883i | ||||
\(438\) | 2.22958 | + | 0.805466i | 0.106533 | + | 0.0384867i | ||||
\(439\) | 2.23566 | + | 0.599043i | 0.106702 | + | 0.0285907i | 0.311775 | − | 0.950156i | \(-0.399076\pi\) |
−0.205073 | + | 0.978747i | \(0.565743\pi\) | |||||||
\(440\) | −9.46607 | + | 12.5215i | −0.451277 | + | 0.596938i | ||||
\(441\) | −3.93608 | + | 5.78854i | −0.187433 | + | 0.275645i | ||||
\(442\) | 28.5256 | − | 40.9469i | 1.35682 | − | 1.94764i | ||||
\(443\) | 0.646104 | + | 4.90765i | 0.0306973 | + | 0.233169i | 0.999915 | − | 0.0130360i | \(-0.00414959\pi\) |
−0.969218 | + | 0.246205i | \(0.920816\pi\) | |||||||
\(444\) | −7.31322 | + | 5.17310i | −0.347070 | + | 0.245504i | ||||
\(445\) | 4.57210 | + | 0.601928i | 0.216738 | + | 0.0285341i | ||||
\(446\) | −5.72281 | + | 11.0579i | −0.270983 | + | 0.523608i | ||||
\(447\) | 0.137968 | 0.00652564 | ||||||||
\(448\) | 16.4989 | + | 13.2584i | 0.779502 | + | 0.626400i | ||||
\(449\) | −32.9131 | −1.55326 | −0.776632 | − | 0.629955i | \(-0.783073\pi\) | ||||
−0.776632 | + | 0.629955i | \(0.783073\pi\) | |||||||
\(450\) | 2.60036 | − | 5.02456i | 0.122582 | − | 0.236860i | ||||
\(451\) | 31.6666 | + | 4.16898i | 1.49112 | + | 0.196310i | ||||
\(452\) | −16.0698 | + | 11.3672i | −0.755861 | + | 0.534667i | ||||
\(453\) | −1.30490 | − | 9.91170i | −0.0613095 | − | 0.465692i | ||||
\(454\) | −12.1597 | + | 17.4546i | −0.570683 | + | 0.819184i | ||||
\(455\) | 5.35652 | − | 11.6957i | 0.251118 | − | 0.548301i | ||||
\(456\) | −16.9468 | − | 12.8115i | −0.793605 | − | 0.599955i | ||||
\(457\) | 18.5497 | + | 4.97037i | 0.867718 | + | 0.232504i | 0.665101 | − | 0.746754i | \(-0.268389\pi\) |
0.202617 | + | 0.979258i | \(0.435055\pi\) | |||||||
\(458\) | −39.1170 | − | 14.1315i | −1.82782 | − | 0.660324i | ||||
\(459\) | 4.41701 | + | 5.75635i | 0.206168 | + | 0.268684i | ||||
\(460\) | 2.43835 | − | 1.28419i | 0.113689 | − | 0.0598758i | ||||
\(461\) | −13.6857 | + | 5.66878i | −0.637405 | + | 0.264022i | −0.677895 | − | 0.735158i | \(-0.737108\pi\) |
0.0404909 | + | 0.999180i | \(0.487108\pi\) | |||||||
\(462\) | 12.7960 | + | 16.3606i | 0.595323 | + | 0.761166i | ||||
\(463\) | − | 2.09325i | − | 0.0972816i | −0.998816 | − | 0.0486408i | \(-0.984511\pi\) | ||
0.998816 | − | 0.0486408i | \(-0.0154890\pi\) | |||||||
\(464\) | −8.30764 | + | 0.442403i | −0.385672 | + | 0.0205380i | ||||
\(465\) | 4.23174 | + | 2.44320i | 0.196242 | + | 0.113301i | ||||
\(466\) | −5.89149 | + | 6.46040i | −0.272918 | + | 0.299272i | ||||
\(467\) | −2.11782 | − | 1.62506i | −0.0980012 | − | 0.0751989i | 0.558599 | − | 0.829438i | \(-0.311339\pi\) |
−0.656600 | + | 0.754239i | \(0.728006\pi\) | |||||||
\(468\) | 6.60548 | + | 7.13974i | 0.305339 | + | 0.330034i | ||||
\(469\) | −6.72421 | − | 12.7038i | −0.310495 | − | 0.586607i | ||||
\(470\) | 11.1958 | − | 2.00175i | 0.516425 | − | 0.0923340i | ||||
\(471\) | −13.5171 | − | 3.62189i | −0.622834 | − | 0.166888i | ||||
\(472\) | −4.89119 | + | 4.96191i | −0.225135 | + | 0.228390i | ||||
\(473\) | −48.3374 | + | 12.9520i | −2.22256 | + | 0.595532i | ||||
\(474\) | −0.146854 | + | 1.72610i | −0.00674525 | + | 0.0792826i | ||||
\(475\) | −27.7608 | − | 11.4989i | −1.27375 | − | 0.527605i | ||||
\(476\) | −29.1221 | + | 25.0196i | −1.33481 | + | 1.14677i | ||||
\(477\) | −1.46430 | − | 3.53514i | −0.0670458 | − | 0.161863i | ||||
\(478\) | −1.74819 | − | 0.904742i | −0.0799604 | − | 0.0413819i | ||||
\(479\) | −14.5090 | + | 25.1303i | −0.662931 | + | 1.14823i | 0.316910 | + | 0.948455i | \(0.397355\pi\) |
−0.979842 | + | 0.199775i | \(0.935979\pi\) | |||||||
\(480\) | 4.12362 | − | 3.87035i | 0.188216 | − | 0.176656i | ||||
\(481\) | −10.8913 | − | 18.8644i | −0.496602 | − | 0.860140i | ||||
\(482\) | −11.2723 | + | 7.21923i | −0.513440 | + | 0.328827i | ||||
\(483\) | −0.813637 | − | 3.55464i | −0.0370218 | − | 0.161742i | ||||
\(484\) | 37.1744 | − | 13.7322i | 1.68975 | − | 0.624189i | ||||
\(485\) | 0.431904 | + | 3.28064i | 0.0196117 | + | 0.148966i | ||||
\(486\) | −1.28028 | + | 0.600737i | −0.0580746 | + | 0.0272500i | ||||
\(487\) | −38.1220 | + | 10.2148i | −1.72747 | + | 0.462875i | −0.979599 | − | 0.200963i | \(-0.935593\pi\) |
−0.747876 | + | 0.663839i | \(0.768926\pi\) | |||||||
\(488\) | 13.2447 | − | 23.3256i | 0.599561 | − | 1.05590i | ||||
\(489\) | −9.07092 | + | 9.07092i | −0.410201 | + | 0.410201i | ||||
\(490\) | −6.23881 | + | 7.68294i | −0.281841 | + | 0.347080i | ||||
\(491\) | −9.83382 | + | 23.7409i | −0.443794 | + | 1.07141i | 0.530812 | + | 0.847489i | \(0.321887\pi\) |
−0.974607 | + | 0.223924i | \(0.928113\pi\) | |||||||
\(492\) | −10.9914 | − | 3.40784i | −0.495529 | − | 0.153637i | ||||
\(493\) | 1.96975 | − | 14.9617i | 0.0887131 | − | 0.673843i | ||||
\(494\) | 34.8095 | − | 38.1708i | 1.56615 | − | 1.71739i | ||||
\(495\) | 4.80619 | − | 2.77485i | 0.216022 | − | 0.124720i | ||||
\(496\) | −12.7096 | − | 14.8556i | −0.570677 | − | 0.667038i | ||||
\(497\) | 5.50257 | − | 32.5075i | 0.246824 | − | 1.45816i | ||||
\(498\) | −3.67973 | + | 16.7881i | −0.164893 | + | 0.752295i | ||||
\(499\) | 12.3728 | + | 9.49398i | 0.553883 | + | 0.425009i | 0.847408 | − | 0.530942i | \(-0.178162\pi\) |
−0.293525 | + | 0.955951i | \(0.594829\pi\) | |||||||
\(500\) | 9.59676 | − | 15.2241i | 0.429180 | − | 0.680845i | ||||
\(501\) | 13.6940 | + | 17.8464i | 0.611803 | + | 0.797317i | ||||
\(502\) | −5.01900 | + | 4.23194i | −0.224009 | + | 0.188881i | ||||
\(503\) | −17.3057 | + | 17.3057i | −0.771622 | + | 0.771622i | −0.978390 | − | 0.206768i | \(-0.933705\pi\) |
0.206768 | + | 0.978390i | \(0.433705\pi\) | |||||||
\(504\) | −3.54819 | − | 6.58866i | −0.158049 | − | 0.293482i | ||||
\(505\) | 0.407383 | + | 0.407383i | 0.0181283 | + | 0.0181283i | ||||
\(506\) | −10.7811 | − | 0.917244i | −0.479280 | − | 0.0407765i | ||||
\(507\) | −8.45085 | + | 6.48457i | −0.375315 | + | 0.287990i | ||||
\(508\) | 15.8149 | + | 22.3576i | 0.701673 | + | 0.991958i | ||||
\(509\) | 14.4880 | − | 18.8812i | 0.642171 | − | 0.836893i | −0.352941 | − | 0.935645i | \(-0.614818\pi\) |
0.995112 | + | 0.0987523i | \(0.0314852\pi\) | |||||||
\(510\) | 5.53260 | + | 8.63876i | 0.244988 | + | 0.382531i | ||||
\(511\) | 2.82742 | − | 3.41687i | 0.125078 | − | 0.151153i | ||||
\(512\) | −20.7137 | + | 9.10719i | −0.915427 | + | 0.402485i | ||||
\(513\) | 3.75553 | + | 6.50477i | 0.165811 | + | 0.287193i | ||||
\(514\) | −13.1764 | + | 0.606879i | −0.581186 | + | 0.0267683i | ||||
\(515\) | −2.93892 | − | 0.386917i | −0.129504 | − | 0.0170496i | ||||
\(516\) | 17.9534 | − | 1.65731i | 0.790355 | − | 0.0729592i | ||||
\(517\) | −41.2552 | − | 17.0885i | −1.81440 | − | 0.751550i | ||||
\(518\) | 4.48693 | + | 16.1469i | 0.197144 | + | 0.709454i | ||||
\(519\) | 5.33137 | + | 5.33137i | 0.234021 | + | 0.234021i | ||||
\(520\) | 8.44984 | + | 10.8499i | 0.370550 | + | 0.475801i | ||||
\(521\) | 0.875862 | + | 3.26876i | 0.0383722 | + | 0.143207i | 0.982454 | − | 0.186503i | \(-0.0597155\pi\) |
−0.944082 | + | 0.329710i | \(0.893049\pi\) | |||||||
\(522\) | 2.76637 | + | 0.999388i | 0.121081 | + | 0.0437420i | ||||
\(523\) | 23.6140 | − | 3.10884i | 1.03257 | − | 0.135940i | 0.404852 | − | 0.914382i | \(-0.367323\pi\) |
0.627717 | + | 0.778442i | \(0.283990\pi\) | |||||||
\(524\) | −26.2481 | − | 1.02022i | −1.14666 | − | 0.0445685i | ||||
\(525\) | −7.20398 | − | 7.75442i | −0.314407 | − | 0.338431i | ||||
\(526\) | 8.43221 | − | 38.4705i | 0.367662 | − | 1.67740i | ||||
\(527\) | 30.7121 | − | 17.7317i | 1.33784 | − | 0.772404i | ||||
\(528\) | −21.8292 | + | 4.06483i | −0.949994 | + | 0.176899i | ||||
\(529\) | −18.2734 | − | 10.5502i | −0.794498 | − | 0.458703i | ||||
\(530\) | −1.63915 | − | 5.15569i | −0.0712002 | − | 0.223949i | ||||
\(531\) | 2.27583 | − | 0.942679i | 0.0987626 | − | 0.0409088i | ||||
\(532\) | −33.2697 | + | 21.7435i | −1.44242 | + | 0.942699i | ||||
\(533\) | 10.7085 | − | 25.8525i | 0.463835 | − | 1.11980i | ||||
\(534\) | 4.20508 | + | 4.98714i | 0.181972 | + | 0.215815i | ||||
\(535\) | −1.49492 | − | 5.57912i | −0.0646311 | − | 0.241206i | ||||
\(536\) | 15.3657 | − | 0.110278i | 0.663696 | − | 0.00476329i | ||||
\(537\) | −3.21401 | + | 11.9949i | −0.138695 | + | 0.517617i | ||||
\(538\) | 0.528757 | + | 0.368357i | 0.0227963 | + | 0.0158810i | ||||
\(539\) | 36.8957 | − | 12.1915i | 1.58921 | − | 0.525125i | ||||
\(540\) | −1.87562 | + | 0.692849i | −0.0807137 | + | 0.0298155i | ||||
\(541\) | 12.2673 | − | 15.9871i | 0.527412 | − | 0.687337i | −0.451347 | − | 0.892348i | \(-0.649056\pi\) |
0.978760 | + | 0.205011i | \(0.0657231\pi\) | |||||||
\(542\) | −0.288203 | − | 6.25738i | −0.0123794 | − | 0.268777i | ||||
\(543\) | 7.19736 | − | 12.4662i | 0.308868 | − | 0.534976i | ||||
\(544\) | −9.36234 | − | 39.9625i | −0.401407 | − | 1.71338i | ||||
\(545\) | −2.91279 | −0.124770 | ||||||||
\(546\) | 16.7467 | − | 7.11878i | 0.716693 | − | 0.304656i | ||||
\(547\) | 11.4868 | + | 27.7316i | 0.491141 | + | 1.18572i | 0.954140 | + | 0.299361i | \(0.0967733\pi\) |
−0.462999 | + | 0.886359i | \(0.653227\pi\) | |||||||
\(548\) | 28.4737 | − | 34.2652i | 1.21634 | − | 1.46374i | ||||
\(549\) | −7.52383 | + | 5.77324i | −0.321109 | + | 0.246396i | ||||
\(550\) | −28.4315 | + | 13.3407i | −1.21232 | + | 0.568850i | ||||
\(551\) | 4.04324 | − | 15.0896i | 0.172248 | − | 0.642838i | ||||
\(552\) | 3.77266 | + | 0.981917i | 0.160575 | + | 0.0417932i | ||||
\(553\) | 2.94658 | + | 1.34951i | 0.125301 | + | 0.0573870i | ||||
\(554\) | −40.9610 | + | 7.32361i | −1.74027 | + | 0.311150i | ||||
\(555\) | 4.43951 | − | 0.584473i | 0.188447 | − | 0.0248095i | ||||
\(556\) | 27.5852 | − | 6.25411i | 1.16987 | − | 0.265234i | ||||
\(557\) | 0.997317 | − | 7.57538i | 0.0422577 | − | 0.320979i | −0.957240 | − | 0.289294i | \(-0.906579\pi\) |
0.999498 | − | 0.0316848i | \(-0.0100873\pi\) | |||||||
\(558\) | 2.09429 | + | 6.58725i | 0.0886584 | + | 0.278861i | ||||
\(559\) | 43.8424i | 1.85434i | ||||||||
\(560\) | −4.20888 | − | 9.70715i | −0.177857 | − | 0.410202i | ||||
\(561\) | − | 40.2773i | − | 1.70051i | ||||||
\(562\) | 8.49374 | − | 2.70042i | 0.358287 | − | 0.113910i | ||||
\(563\) | −2.15931 | + | 16.4016i | −0.0910041 | + | 0.691245i | 0.883749 | + | 0.467961i | \(0.155011\pi\) |
−0.974753 | + | 0.223284i | \(0.928322\pi\) | |||||||
\(564\) | 13.6100 | + | 8.57929i | 0.573086 | + | 0.361253i | ||||
\(565\) | 9.75524 | − | 1.28430i | 0.410406 | − | 0.0540310i | ||||
\(566\) | 6.84577 | + | 38.2884i | 0.287749 | + | 1.60938i | ||||
\(567\) | 0.248646 | + | 2.63404i | 0.0104422 | + | 0.110619i | ||||
\(568\) | 28.1161 | + | 21.2554i | 1.17973 | + | 0.891857i | ||||
\(569\) | −2.91406 | + | 10.8754i | −0.122164 | + | 0.455921i | −0.999723 | − | 0.0235477i | \(-0.992504\pi\) |
0.877559 | + | 0.479468i | \(0.159170\pi\) | |||||||
\(570\) | 4.51103 | + | 9.61382i | 0.188946 | + | 0.402679i | ||||
\(571\) | 11.5442 | − | 8.85814i | 0.483108 | − | 0.370702i | −0.338304 | − | 0.941037i | \(-0.609853\pi\) |
0.821412 | + | 0.570335i | \(0.193187\pi\) | |||||||
\(572\) | −4.96317 | − | 53.7653i | −0.207521 | − | 2.24804i | ||||
\(573\) | −2.69838 | − | 6.51446i | −0.112726 | − | 0.272145i | ||||
\(574\) | −12.9474 | + | 17.2002i | −0.540412 | + | 0.717924i | ||||
\(575\) | 5.51380 | 0.229941 | ||||||||
\(576\) | 7.99918 | − | 0.114825i | 0.333299 | − | 0.00478436i | ||||
\(577\) | 14.3625 | − | 24.8766i | 0.597920 | − | 1.03563i | −0.395207 | − | 0.918592i | \(-0.629327\pi\) |
0.993128 | − | 0.117036i | \(-0.0373394\pi\) | |||||||
\(578\) | 50.3570 | − | 2.31935i | 2.09458 | − | 0.0964721i | ||||
\(579\) | −12.5886 | + | 16.4058i | −0.523164 | + | 0.681801i | ||||
\(580\) | 3.77738 | + | 1.73947i | 0.156847 | + | 0.0722275i | ||||
\(581\) | 27.2356 | + | 17.0898i | 1.12992 | + | 0.709003i | ||||
\(582\) | −2.67558 | + | 3.84065i | −0.110906 | + | 0.159200i | ||||
\(583\) | −5.49752 | + | 20.5170i | −0.227684 | + | 0.849729i | ||||
\(584\) | 1.84578 | + | 4.36719i | 0.0763788 | + | 0.180715i | ||||
\(585\) | −1.25841 | − | 4.69644i | −0.0520287 | − | 0.194174i | ||||
\(586\) | 0.415478 | − | 0.350324i | 0.0171632 | − | 0.0144718i | ||||
\(587\) | −2.39879 | + | 5.79118i | −0.0990085 | + | 0.239028i | −0.965621 | − | 0.259954i | \(-0.916293\pi\) |
0.866612 | + | 0.498982i | \(0.166293\pi\) | |||||||
\(588\) | −13.8441 | + | 2.08366i | −0.570920 | + | 0.0859287i | ||||
\(589\) | 33.9168 | − | 14.0488i | 1.39752 | − | 0.578871i | ||||
\(590\) | 3.31910 | − | 1.05524i | 0.136645 | − | 0.0434437i | ||||
\(591\) | 14.3318 | + | 8.27447i | 0.589532 | + | 0.340366i | ||||
\(592\) | −17.5274 | − | 3.71014i | −0.720374 | − | 0.152486i | ||||
\(593\) | 0.279473 | − | 0.161354i | 0.0114766 | − | 0.00662601i | −0.494251 | − | 0.869319i | \(-0.664558\pi\) |
0.505727 | + | 0.862693i | \(0.331224\pi\) | |||||||
\(594\) | 7.66841 | + | 1.68081i | 0.314639 | + | 0.0689645i | ||||
\(595\) | 18.7082 | − | 4.28219i | 0.766960 | − | 0.175553i | ||||
\(596\) | 0.187390 | + | 0.202546i | 0.00767581 | + | 0.00829663i | ||||
\(597\) | −8.04275 | + | 1.05885i | −0.329168 | + | 0.0433358i | ||||
\(598\) | −3.22086 | + | 8.91555i | −0.131711 | + | 0.364584i | ||||
\(599\) | −6.44809 | − | 24.0646i | −0.263462 | − | 0.983253i | −0.963185 | − | 0.268839i | \(-0.913360\pi\) |
0.699723 | − | 0.714414i | \(-0.253307\pi\) | |||||||
\(600\) | 10.9083 | − | 3.00694i | 0.445329 | − | 0.122758i | ||||
\(601\) | −11.9431 | − | 11.9431i | −0.487168 | − | 0.487168i | 0.420244 | − | 0.907411i | \(-0.361945\pi\) |
−0.907411 | + | 0.420244i | \(0.861945\pi\) | |||||||
\(602\) | 8.42856 | − | 32.6605i | 0.343523 | − | 1.33114i | ||||
\(603\) | −5.01918 | − | 2.07901i | −0.204397 | − | 0.0846640i | ||||
\(604\) | 12.7788 | − | 15.3780i | 0.519960 | − | 0.625720i | ||||
\(605\) | −19.6403 | − | 2.58570i | −0.798493 | − | 0.105124i | ||||
\(606\) | 0.0374963 | + | 0.814110i | 0.00152318 | + | 0.0330709i | ||||
\(607\) | 0.884442 | + | 1.53190i | 0.0358984 | + | 0.0621778i | 0.883416 | − | 0.468589i | \(-0.155237\pi\) |
−0.847518 | + | 0.530767i | \(0.821904\pi\) | |||||||
\(608\) | −4.20917 | − | 42.2800i | −0.170704 | − | 1.71468i | ||||
\(609\) | 3.50815 | − | 4.23950i | 0.142157 | − | 0.171793i | ||||
\(610\) | −11.2913 | + | 7.23137i | −0.457170 | + | 0.292789i | ||||
\(611\) | −23.8158 | + | 31.0374i | −0.963485 | + | 1.25564i | ||||
\(612\) | −2.45148 | + | 14.3029i | −0.0990953 | + | 0.578160i | ||||
\(613\) | 25.4702 | − | 19.5439i | 1.02873 | − | 0.789372i | 0.0508856 | − | 0.998704i | \(-0.483796\pi\) |
0.977845 | + | 0.209332i | \(0.0671289\pi\) | |||||||
\(614\) | −2.22640 | + | 26.1688i | −0.0898503 | + | 1.05609i | ||||
\(615\) | 4.06750 | + | 4.06750i | 0.164017 | + | 0.164017i | ||||
\(616\) | −6.63887 | + | 41.0068i | −0.267488 | + | 1.65221i | ||||
\(617\) | −17.8251 | + | 17.8251i | −0.717613 | + | 0.717613i | −0.968116 | − | 0.250503i | \(-0.919404\pi\) |
0.250503 | + | 0.968116i | \(0.419404\pi\) | |||||||
\(618\) | −2.70301 | − | 3.20571i | −0.108731 | − | 0.128953i | ||||
\(619\) | −8.08750 | − | 10.5398i | −0.325064 | − | 0.423632i | 0.602023 | − | 0.798479i | \(-0.294362\pi\) |
−0.927086 | + | 0.374848i | \(0.877695\pi\) | |||||||
\(620\) | 2.16085 | + | 9.53091i | 0.0867816 | + | 0.382771i | ||||
\(621\) | −1.09346 | − | 0.839041i | −0.0438790 | − | 0.0336695i | ||||
\(622\) | −13.3810 | − | 2.93294i | −0.536531 | − | 0.117600i | ||||
\(623\) | 11.4392 | − | 4.25253i | 0.458303 | − | 0.170374i | ||||
\(624\) | −1.50996 | + | 19.3947i | −0.0604466 | + | 0.776408i | ||||
\(625\) | 9.53198 | − | 5.50329i | 0.381279 | − | 0.220132i | ||||
\(626\) | −4.60215 | − | 4.19689i | −0.183939 | − | 0.167741i | ||||
\(627\) | 5.44225 | − | 41.3380i | 0.217343 | − | 1.65088i | ||||
\(628\) | −13.0420 | − | 24.7634i | −0.520431 | − | 0.988166i | ||||
\(629\) | 12.4365 | − | 30.0243i | 0.495875 | − | 1.19715i | ||||
\(630\) | 0.0345789 | + | 3.74055i | 0.00137765 | + | 0.149027i | ||||
\(631\) | −17.9266 | + | 17.9266i | −0.713645 | + | 0.713645i | −0.967296 | − | 0.253651i | \(-0.918369\pi\) |
0.253651 | + | 0.967296i | \(0.418369\pi\) | |||||||
\(632\) | −2.73351 | + | 2.12884i | −0.108733 | + | 0.0846805i | ||||
\(633\) | −5.39298 | + | 1.44504i | −0.214352 | + | 0.0574353i | ||||
\(634\) | 2.22411 | + | 4.73999i | 0.0883309 | + | 0.188249i | ||||
\(635\) | −1.78682 | − | 13.5722i | −0.0709078 | − | 0.538598i | ||||
\(636\) | 3.20100 | − | 6.95120i | 0.126928 | − | 0.275633i | ||||
\(637\) | −1.95087 | − | 33.9874i | −0.0772963 | − | 1.34663i | ||||
\(638\) | −8.80583 | − | 13.7497i | −0.348626 | − | 0.544356i | ||||
\(639\) | −6.23074 | − | 10.7920i | −0.246484 | − | 0.426923i | ||||
\(640\) | 11.2827 | + | 0.796987i | 0.445989 | + | 0.0315037i | ||||
\(641\) | 1.84356 | − | 3.19314i | 0.0728162 | − | 0.126121i | −0.827318 | − | 0.561733i | \(-0.810135\pi\) |
0.900135 | + | 0.435612i | \(0.143468\pi\) | |||||||
\(642\) | 3.75535 | − | 7.25630i | 0.148212 | − | 0.286383i | ||||
\(643\) | −17.3359 | − | 41.8524i | −0.683659 | − | 1.65050i | −0.757181 | − | 0.653206i | \(-0.773424\pi\) |
0.0735213 | − | 0.997294i | \(-0.476576\pi\) | |||||||
\(644\) | 4.11338 | − | 6.02247i | 0.162090 | − | 0.237318i | ||||
\(645\) | −8.32655 | − | 3.44897i | −0.327858 | − | 0.135803i | ||||
\(646\) | 76.7947 | + | 6.53358i | 3.02145 | + | 0.257060i | ||||
\(647\) | 8.15019 | − | 2.18384i | 0.320417 | − | 0.0858555i | −0.0950256 | − | 0.995475i | \(-0.530293\pi\) |
0.415443 | + | 0.909619i | \(0.363627\pi\) | |||||||
\(648\) | −2.62083 | − | 1.06361i | −0.102956 | − | 0.0417826i | ||||
\(649\) | −13.2083 | − | 3.53916i | −0.518472 | − | 0.138924i | ||||
\(650\) | 4.84268 | + | 27.0852i | 0.189946 | + | 1.06237i | ||||
\(651\) | 12.9227 | + | 0.475531i | 0.506481 | + | 0.0186375i | ||||
\(652\) | −25.6371 | − | 0.996469i | −1.00403 | − | 0.0390247i | ||||
\(653\) | 35.3010 | + | 27.0874i | 1.38143 | + | 1.06001i | 0.990190 | + | 0.139725i | \(0.0446218\pi\) |
0.391244 | + | 0.920287i | \(0.372045\pi\) | |||||||
\(654\) | −3.04449 | − | 2.77639i | −0.119049 | − | 0.108565i | ||||
\(655\) | 11.3715 | + | 6.56533i | 0.444321 | + | 0.256529i | ||||
\(656\) | −9.92574 | − | 20.7647i | −0.387535 | − | 0.810726i | ||||
\(657\) | − | 1.67628i | − | 0.0653978i | ||||||
\(658\) | 23.7085 | − | 18.5429i | 0.924254 | − | 0.722877i | ||||
\(659\) | −5.96864 | + | 2.47229i | −0.232505 | + | 0.0963068i | −0.495894 | − | 0.868383i | \(-0.665160\pi\) |
0.263389 | + | 0.964690i | \(0.415160\pi\) | |||||||
\(660\) | 10.6015 | + | 3.28697i | 0.412665 | + | 0.127945i | ||||
\(661\) | −6.32912 | − | 8.24827i | −0.246174 | − | 0.320820i | 0.653880 | − | 0.756598i | \(-0.273140\pi\) |
−0.900054 | + | 0.435778i | \(0.856473\pi\) | |||||||
\(662\) | −1.62148 | + | 4.48837i | −0.0630208 | + | 0.174445i | ||||
\(663\) | −34.0847 | − | 9.13296i | −1.32374 | − | 0.354695i | ||||
\(664\) | −29.6441 | + | 17.3999i | −1.15041 | + | 0.675247i | ||||
\(665\) | 19.7794 | − | 1.86712i | 0.767014 | − | 0.0724039i | ||||
\(666\) | 5.19735 | + | 3.62072i | 0.201393 | + | 0.140300i | ||||
\(667\) | 0.374167 | + | 2.84208i | 0.0144878 | + | 0.110046i | ||||
\(668\) | −7.60031 | + | 44.3431i | −0.294065 | + | 1.71569i | ||||
\(669\) | 8.72889 | + | 1.14918i | 0.337478 | + | 0.0444298i | ||||
\(670\) | −6.82167 | − | 3.53042i | −0.263544 | − | 0.136392i | ||||
\(671\) | 52.6444 | 2.03231 | ||||||||
\(672\) | 4.85341 | − | 14.1578i | 0.187224 | − | 0.546150i | ||||
\(673\) | 24.4860 | 0.943866 | 0.471933 | − | 0.881634i | \(-0.343556\pi\) | ||||
0.471933 | + | 0.881634i | \(0.343556\pi\) | |||||||
\(674\) | −5.02783 | − | 2.60206i | −0.193665 | − | 0.100227i | ||||
\(675\) | −3.96628 | − | 0.522171i | −0.152662 | − | 0.0200984i | ||||
\(676\) | −20.9979 | − | 3.59900i | −0.807613 | − | 0.138423i | ||||
\(677\) | 4.47715 | + | 34.0073i | 0.172071 | + | 1.30701i | 0.831620 | + | 0.555345i | \(0.187414\pi\) |
−0.659549 | + | 0.751661i | \(0.729253\pi\) | |||||||
\(678\) | 11.4205 | + | 7.95606i | 0.438601 | + | 0.305550i | ||||
\(679\) | 5.07176 | + | 7.13862i | 0.194636 | + | 0.273955i | ||||
\(680\) | −5.16785 | + | 19.8556i | −0.198178 | + | 0.761427i | ||||
\(681\) | 14.5294 | + | 3.89314i | 0.556768 | + | 0.149186i | ||||
\(682\) | 13.0371 | − | 36.0874i | 0.499215 | − | 1.38186i | ||||
\(683\) | −14.5964 | − | 19.0224i | −0.558516 | − | 0.727872i | 0.425696 | − | 0.904866i | \(-0.360029\pi\) |
−0.984212 | + | 0.176994i | \(0.943363\pi\) | |||||||
\(684\) | −4.44864 | + | 14.3483i | −0.170098 | + | 0.548621i | ||||
\(685\) | −20.5750 | + | 8.52245i | −0.786131 | + | 0.325626i | ||||
\(686\) | −5.08067 | + | 25.6941i | −0.193981 | + | 0.981005i | ||||
\(687\) | 29.4095i | 1.12204i | ||||||||
\(688\) | 26.8177 | + | 24.1059i | 1.02242 | + | 0.919030i | ||||
\(689\) | 16.1160 | + | 9.30455i | 0.613969 | + | 0.354475i | ||||
\(690\) | −1.43986 | − | 1.31307i | −0.0548147 | − | 0.0499877i | ||||
\(691\) | 12.0447 | + | 9.24225i | 0.458203 | + | 0.351592i | 0.811928 | − | 0.583758i | \(-0.198418\pi\) |
−0.353724 | + | 0.935350i | \(0.615085\pi\) | |||||||
\(692\) | −0.585667 | + | 15.0680i | −0.0222637 | + | 0.572800i | ||||
\(693\) | 7.80619 | − | 12.4405i | 0.296533 | − | 0.472577i | ||||
\(694\) | 3.81855 | + | 21.3572i | 0.144950 | + | 0.810708i | ||||
\(695\) | −13.6573 | − | 3.65946i | −0.518051 | − | 0.138811i | ||||
\(696\) | 2.29016 | + | 5.41862i | 0.0868084 | + | 0.205392i | ||||
\(697\) | 40.3253 | − | 10.8051i | 1.52743 | − | 0.409273i | ||||
\(698\) | 31.2462 | + | 2.65838i | 1.18268 | + | 0.100621i | ||||
\(699\) | 5.71188 | + | 2.36594i | 0.216043 | + | 0.0894880i | ||||
\(700\) | 1.59947 | − | 21.1082i | 0.0604541 | − | 0.797814i | ||||
\(701\) | −0.931702 | − | 2.24933i | −0.0351899 | − | 0.0849559i | 0.905308 | − | 0.424757i | \(-0.139640\pi\) |
−0.940497 | + | 0.339801i | \(0.889640\pi\) | |||||||
\(702\) | 3.16121 | − | 6.10826i | 0.119312 | − | 0.230542i | ||||
\(703\) | 16.8209 | − | 29.1346i | 0.634410 | − | 1.09883i | ||||
\(704\) | −35.6163 | − | 26.5259i | −1.34234 | − | 0.999734i | ||||
\(705\) | −4.02109 | − | 6.96473i | −0.151443 | − | 0.262307i | ||||
\(706\) | −1.01451 | − | 1.58409i | −0.0381817 | − | 0.0596180i | ||||
\(707\) | 1.45721 | + | 0.448504i | 0.0548042 | + | 0.0168677i | ||||
\(708\) | 4.47500 | + | 2.06072i | 0.168181 | + | 0.0774465i | ||||
\(709\) | −2.84717 | − | 21.6264i | −0.106928 | − | 0.812196i | −0.957924 | − | 0.287024i | \(-0.907334\pi\) |
0.850996 | − | 0.525172i | \(-0.175999\pi\) | |||||||
\(710\) | −7.48417 | − | 15.9501i | −0.280876 | − | 0.598598i | ||||
\(711\) | 1.18321 | − | 0.317040i | 0.0443738 | − | 0.0118899i | ||||
\(712\) | −1.61006 | + | 12.9470i | −0.0603397 | + | 0.485210i | ||||
\(713\) | −4.76343 | + | 4.76343i | −0.178392 | + | 0.178392i | ||||
\(714\) | 23.6357 | + | 13.3563i | 0.884544 | + | 0.499847i | ||||
\(715\) | −10.3287 | + | 24.9356i | −0.386270 | + | 0.932539i | ||||
\(716\) | −21.9747 | + | 11.5733i | −0.821232 | + | 0.432513i | ||||
\(717\) | −0.181678 | + | 1.37998i | −0.00678490 | + | 0.0515365i | ||||
\(718\) | 23.7430 | + | 21.6522i | 0.886080 | + | 0.808051i | ||||
\(719\) | 1.38302 | − | 0.798489i | 0.0515781 | − | 0.0297786i | −0.473989 | − | 0.880531i | \(-0.657186\pi\) |
0.525567 | + | 0.850752i | \(0.323853\pi\) | |||||||
\(720\) | −3.56465 | − | 1.81250i | −0.132847 | − | 0.0675479i | ||||
\(721\) | −7.35309 | + | 2.73351i | −0.273843 | + | 0.101801i | ||||
\(722\) | 51.6872 | + | 11.3291i | 1.92360 | + | 0.421626i | ||||
\(723\) | 7.50930 | + | 5.76209i | 0.279274 | + | 0.214294i | ||||
\(724\) | 28.0769 | − | 6.36558i | 1.04347 | − | 0.236575i | ||||
\(725\) | 5.06518 | + | 6.60107i | 0.188116 | + | 0.245157i | ||||
\(726\) | −18.0638 | − | 21.4233i | −0.670409 | − | 0.795091i | ||||
\(727\) | 17.3555 | − | 17.3555i | 0.643680 | − | 0.643680i | −0.307778 | − | 0.951458i | \(-0.599585\pi\) |
0.951458 | + | 0.307778i | \(0.0995853\pi\) | |||||||
\(728\) | 33.1966 | + | 14.9165i | 1.23035 | + | 0.552843i | ||||
\(729\) | 0.707107 | + | 0.707107i | 0.0261891 | + | 0.0261891i | ||||
\(730\) | 0.200912 | − | 2.36148i | 0.00743607 | − | 0.0874024i | ||||
\(731\) | −51.8928 | + | 39.8188i | −1.91933 | + | 1.47275i | ||||
\(732\) | −18.6945 | − | 3.20420i | −0.690970 | − | 0.118431i | ||||
\(733\) | −8.14938 | + | 10.6205i | −0.301004 | + | 0.392276i | −0.919228 | − | 0.393726i | \(-0.871186\pi\) |
0.618224 | + | 0.786002i | \(0.287853\pi\) | |||||||
\(734\) | 31.3846 | − | 20.0999i | 1.15843 | − | 0.741901i | ||||
\(735\) | 6.60837 | + | 2.30320i | 0.243753 | + | 0.0849547i | ||||
\(736\) | 3.68258 | + | 6.87220i | 0.135742 | + | 0.253313i | ||||
\(737\) | 15.0788 | + | 26.1173i | 0.555436 | + | 0.962043i | ||||
\(738\) | 0.374380 | + | 8.12844i | 0.0137811 | + | 0.299212i | ||||
\(739\) | 14.7705 | + | 1.94457i | 0.543340 | + | 0.0715321i | 0.397201 | − | 0.917732i | \(-0.369982\pi\) |
0.146140 | + | 0.989264i | \(0.453315\pi\) | |||||||
\(740\) | 6.88789 | + | 5.72369i | 0.253204 | + | 0.210407i | ||||
\(741\) | −33.7482 | − | 13.9790i | −1.23977 | − | 0.513531i | ||||
\(742\) | −10.2169 | − | 10.0297i | −0.375073 | − | 0.368202i | ||||
\(743\) | −32.1686 | − | 32.1686i | −1.18015 | − | 1.18015i | −0.979704 | − | 0.200449i | \(-0.935760\pi\) |
−0.200449 | − | 0.979704i | \(-0.564240\pi\) | |||||||
\(744\) | −6.82606 | + | 12.0215i | −0.250255 | + | 0.440730i | ||||
\(745\) | −0.0356996 | − | 0.133233i | −0.00130793 | − | 0.00488127i | ||||
\(746\) | −10.8972 | + | 30.1641i | −0.398974 | + | 1.10439i | ||||
\(747\) | 12.0489 | − | 1.58626i | 0.440845 | − | 0.0580383i | ||||
\(748\) | 59.1301 | − | 54.7055i | 2.16201 | − | 2.00023i | ||||
\(749\) | −10.4037 | − | 11.1987i | −0.380144 | − | 0.409190i | ||||
\(750\) | −12.4303 | − | 2.72456i | −0.453891 | − | 0.0994867i | ||||
\(751\) | −39.0115 | + | 22.5233i | −1.42355 | + | 0.821886i | −0.996600 | − | 0.0823896i | \(-0.973745\pi\) |
−0.426949 | + | 0.904276i | \(0.640411\pi\) | |||||||
\(752\) | 5.89042 | + | 31.6331i | 0.214801 | + | 1.15354i | ||||
\(753\) | 4.02025 | + | 2.32109i | 0.146506 | + | 0.0845852i | ||||
\(754\) | −13.6324 | + | 4.33416i | −0.496463 | + | 0.157841i | ||||
\(755\) | −9.23390 | + | 3.82480i | −0.336056 | + | 0.139199i | ||||
\(756\) | −3.52925 | + | 3.94264i | −0.128358 | + | 0.143392i | ||||
\(757\) | 6.77150 | − | 16.3479i | 0.246115 | − | 0.594173i | −0.751753 | − | 0.659445i | \(-0.770791\pi\) |
0.997868 | + | 0.0652718i | \(0.0207914\pi\) | |||||||
\(758\) | −16.1135 | + | 13.5866i | −0.585268 | + | 0.493489i | ||||
\(759\) | 1.98021 | + | 7.39026i | 0.0718772 | + | 0.268249i | ||||
\(760\) | −7.98682 | + | 19.6802i | −0.289713 | + | 0.713876i | ||||
\(761\) | 2.25944 | − | 8.43235i | 0.0819047 | − | 0.305672i | −0.912805 | − | 0.408395i | \(-0.866089\pi\) |
0.994710 | + | 0.102722i | \(0.0327553\pi\) | |||||||
\(762\) | 11.0691 | − | 15.8891i | 0.400991 | − | 0.575600i | ||||
\(763\) | −6.81294 | + | 3.60614i | −0.246645 | + | 0.130551i | ||||
\(764\) | 5.89871 | − | 12.8095i | 0.213408 | − | 0.463431i | ||||
\(765\) | 4.41589 | − | 5.75490i | 0.159657 | − | 0.208069i | ||||
\(766\) | −3.62978 | + | 0.167181i | −0.131149 | + | 0.00604048i | ||||
\(767\) | −5.99003 | + | 10.3750i | −0.216287 | + | 0.374621i | ||||
\(768\) | 11.0332 | + | 11.5874i | 0.398127 | + | 0.418125i | ||||
\(769\) | 9.80499 | 0.353577 | 0.176789 | − | 0.984249i | \(-0.443429\pi\) | ||||
0.176789 | + | 0.984249i | \(0.443429\pi\) | |||||||
\(770\) | 12.4882 | − | 16.5902i | 0.450042 | − | 0.597870i | ||||
\(771\) | 3.56929 | + | 8.61702i | 0.128545 | + | 0.310334i | ||||
\(772\) | −41.1830 | + | 3.80168i | −1.48221 | + | 0.136825i | ||||
\(773\) | 12.9131 | − | 9.90857i | 0.464452 | − | 0.356386i | −0.349872 | − | 0.936798i | \(-0.613775\pi\) |
0.814324 | + | 0.580411i | \(0.197108\pi\) | |||||||
\(774\) | −5.41557 | − | 11.5416i | −0.194659 | − | 0.414853i | ||||
\(775\) | −5.06069 | + | 18.8868i | −0.181785 | + | 0.678432i | ||||
\(776\) | −9.27238 | + | 1.28850i | −0.332859 | + | 0.0462543i | ||||
\(777\) | 9.66032 | − | 6.86335i | 0.346562 | − | 0.246221i | ||||
\(778\) | 4.72596 | + | 26.4323i | 0.169434 | + | 0.947645i | ||||
\(779\) | 42.8472 | − | 5.64094i | 1.53516 | − | 0.202108i | ||||
\(780\) | 5.18552 | − | 8.22623i | 0.185671 | − | 0.294546i | ||||
\(781\) | −9.02915 | + | 68.5832i | −0.323088 | + | 2.45410i | ||||
\(782\) | −13.4779 | + | 4.28504i | −0.481969 | + | 0.153233i | ||||
\(783\) | − | 2.07985i | − | 0.0743279i | ||||||
\(784\) | −21.8623 | − | 17.4940i | −0.780795 | − | 0.624787i | ||||
\(785\) | 13.9904i | 0.499338i | ||||||||
\(786\) | 5.62775 | + | 17.7012i | 0.200735 | + | 0.631380i | ||||
\(787\) | 5.35375 | − | 40.6658i | 0.190841 | − | 1.44958i | −0.581073 | − | 0.813851i | \(-0.697367\pi\) |
0.771914 | − | 0.635727i | \(-0.219300\pi\) | |||||||
\(788\) | 7.31821 | + | 32.2787i | 0.260701 | + | 1.14988i | ||||
\(789\) | −27.6103 | + | 3.63497i | −0.982953 | + | 0.129408i | ||||
\(790\) | 1.70487 | − | 0.304821i | 0.0606564 | − | 0.0108450i | ||||
\(791\) | 21.2273 | − | 15.0813i | 0.754754 | − | 0.536229i | ||||
\(792\) | 7.94784 | + | 13.5407i | 0.282414 | + | 0.481148i | ||||
\(793\) | 11.9372 | − | 44.5503i | 0.423903 | − | 1.58203i | ||||
\(794\) | 4.14583 | − | 1.94532i | 0.147130 | − | 0.0690368i | ||||
\(795\) | −3.03492 | + | 2.32878i | −0.107638 | + | 0.0825933i | ||||
\(796\) | −12.4783 | − | 10.3692i | −0.442281 | − | 0.367527i | ||||
\(797\) | 10.9243 | + | 26.3737i | 0.386960 | + | 0.934204i | 0.990580 | + | 0.136932i | \(0.0437243\pi\) |
−0.603620 | + | 0.797272i | \(0.706276\pi\) | |||||||
\(798\) | 22.4535 | + | 16.9017i | 0.794844 | + | 0.598313i | ||||
\(799\) | −58.3666 | −2.06486 | ||||||||
\(800\) | 19.2303 | + | 11.9301i | 0.679892 | + | 0.421792i | ||||
\(801\) | 2.30636 | − | 3.99473i | 0.0814912 | − | 0.141147i | ||||
\(802\) | −1.11550 | − | 24.2195i | −0.0393898 | − | 0.855221i | ||||
\(803\) | −5.66464 | + | 7.38231i | −0.199901 | + | 0.260516i | ||||
\(804\) | −3.76501 | − | 10.1923i | −0.132782 | − | 0.359454i | ||||
\(805\) | −3.22212 | + | 1.70549i | −0.113565 | + | 0.0601107i | ||||
\(806\) | −27.5828 | − | 19.2155i | −0.971563 | − | 0.676838i | ||||
\(807\) | 0.117936 | − | 0.440144i | 0.00415155 | − | 0.0154938i | ||||
\(808\) | −1.14424 | + | 1.16079i | −0.0402544 | + | 0.0408363i | ||||
\(809\) | −10.1763 | − | 37.9785i | −0.357780 | − | 1.33525i | −0.876950 | − | 0.480581i | \(-0.840426\pi\) |
0.519171 | − | 0.854671i | \(-0.326241\pi\) | |||||||
\(810\) | 0.911397 | + | 1.08090i | 0.0320232 | + | 0.0379789i | ||||
\(811\) | 21.1572 | − | 51.0779i | 0.742928 | − | 1.79359i | 0.149396 | − | 0.988777i | \(-0.452267\pi\) |
0.593532 | − | 0.804810i | \(-0.297733\pi\) | |||||||
\(812\) | 10.9887 | − | 0.607962i | 0.385629 | − | 0.0213353i | ||||
\(813\) | −4.09216 | + | 1.69503i | −0.143518 | + | 0.0594473i | ||||
\(814\) | −10.6536 | − | 33.5091i | −0.373407 | − | 1.17449i | ||||
\(815\) | 11.1068 | + | 6.41249i | 0.389053 | + | 0.224620i | ||||
\(816\) | −24.3273 | + | 15.8275i | −0.851627 | + | 0.554074i | ||||
\(817\) | −58.6397 | + | 33.8556i | −2.05154 | + | 1.18446i | ||||
\(818\) | 3.29846 | − | 15.0487i | 0.115328 | − | 0.526165i | ||||
\(819\) | −8.75774 | − | 9.42690i | −0.306020 | − | 0.329403i | ||||
\(820\) | −0.446828 | + | 11.4959i | −0.0156039 | + | 0.401456i | ||||
\(821\) | −45.6343 | + | 6.00787i | −1.59265 | + | 0.209676i | −0.874080 | − | 0.485781i | \(-0.838535\pi\) |
−0.718567 | + | 0.695457i | \(0.755202\pi\) | |||||||
\(822\) | −29.6287 | − | 10.7038i | −1.03342 | − | 0.373336i | ||||
\(823\) | −9.45980 | − | 35.3045i | −0.329748 | − | 1.23064i | −0.909452 | − | 0.415809i | \(-0.863498\pi\) |
0.579704 | − | 0.814827i | \(-0.303168\pi\) | |||||||
\(824\) | 1.03494 | − | 8.32228i | 0.0360539 | − | 0.289920i | ||||
\(825\) | 15.7029 | + | 15.7029i | 0.546705 | + | 0.546705i | ||||
\(826\) | 6.45686 | − | 6.57735i | 0.224663 | − | 0.228855i | ||||
\(827\) | 2.06737 | + | 0.856334i | 0.0718896 | + | 0.0297777i | 0.418339 | − | 0.908291i | \(-0.362613\pi\) |
−0.346449 | + | 0.938069i | \(0.612613\pi\) | |||||||
\(828\) | −0.253385 | − | 2.74488i | −0.00880573 | − | 0.0953911i | ||||
\(829\) | 13.9201 | + | 1.83262i | 0.483466 | + | 0.0636495i | 0.368320 | − | 0.929699i | \(-0.379933\pi\) |
0.115146 | + | 0.993349i | \(0.463266\pi\) | |||||||
\(830\) | 17.1641 | − | 0.790547i | 0.595776 | − | 0.0274403i | ||||
\(831\) | 14.7116 | + | 25.4812i | 0.510338 | + | 0.883932i | ||||
\(832\) | −30.5236 | + | 24.1255i | −1.05822 | + | 0.836401i | ||||
\(833\) | 38.4564 | − | 33.1773i | 1.33244 | − | 1.14953i | ||||
\(834\) | −10.7867 | − | 16.8427i | −0.373513 | − | 0.583215i | ||||
\(835\) | 13.6905 | − | 17.8419i | 0.473781 | − | 0.617443i | ||||
\(836\) | 68.0790 | − | 48.1565i | 2.35456 | − | 1.66553i | ||||
\(837\) | 3.87762 | − | 2.97540i | 0.134030 | − | 0.102845i | ||||
\(838\) | 30.6435 | + | 2.60710i | 1.05856 | + | 0.0900609i | ||||
\(839\) | 7.36775 | + | 7.36775i | 0.254363 | + | 0.254363i | 0.822757 | − | 0.568394i | \(-0.192435\pi\) |
−0.568394 | + | 0.822757i | \(0.692435\pi\) | |||||||
\(840\) | −5.44444 | + | 5.13126i | −0.187851 | + | 0.177045i | ||||
\(841\) | 17.4473 | − | 17.4473i | 0.601631 | − | 0.601631i | ||||
\(842\) | 36.4778 | − | 30.7575i | 1.25711 | − | 1.05997i | ||||
\(843\) | −3.83655 | − | 4.99989i | −0.132138 | − | 0.172205i | ||||
\(844\) | −9.44628 | − | 5.95460i | −0.325154 | − | 0.204966i | ||||
\(845\) | 8.44871 | + | 6.48293i | 0.290645 | + | 0.223019i | ||||
\(846\) | 2.43569 | − | 11.1124i | 0.0837408 | − | 0.382053i | ||||
\(847\) | −49.1395 | + | 18.2676i | −1.68845 | + | 0.627681i | ||||
\(848\) | 14.5525 | − | 4.74196i | 0.499736 | − | 0.162840i | ||||
\(849\) | 23.8186 | − | 13.7517i | 0.817452 | − | 0.471956i | ||||
\(850\) | −27.6603 | + | 30.3313i | −0.948742 | + | 1.04036i | ||||
\(851\) | −0.805768 | + | 6.12042i | −0.0276214 | + | 0.209805i | ||||
\(852\) | 7.38066 | − | 23.8050i | 0.252857 | − | 0.815547i | ||||
\(853\) | 4.03882 | − | 9.75058i | 0.138287 | − | 0.333854i | −0.839531 | − | 0.543312i | \(-0.817170\pi\) |
0.977818 | + | 0.209458i | \(0.0671701\pi\) | |||||||
\(854\) | −17.4573 | + | 30.8930i | −0.597377 | + | 1.05714i | ||||
\(855\) | 5.30978 | − | 5.30978i | 0.181591 | − | 0.181591i | ||||
\(856\) | 15.7534 | − | 4.34251i | 0.538439 | − | 0.148424i | ||||
\(857\) | −7.26785 | + | 1.94742i | −0.248265 | + | 0.0665225i | −0.380806 | − | 0.924655i | \(-0.624353\pi\) |
0.132540 | + | 0.991178i | \(0.457687\pi\) | |||||||
\(858\) | −34.5636 | + | 16.2181i | −1.17998 | + | 0.553675i | ||||
\(859\) | 2.37861 | + | 18.0673i | 0.0811570 | + | 0.616449i | 0.982895 | + | 0.184166i | \(0.0589584\pi\) |
−0.901738 | + | 0.432283i | \(0.857708\pi\) | |||||||
\(860\) | −6.24595 | − | 16.9084i | −0.212985 | − | 0.576573i | ||||
\(861\) | 14.5495 | + | 4.47807i | 0.495846 | + | 0.152612i | ||||
\(862\) | −47.2764 | + | 30.2776i | −1.61024 | + | 1.03126i | ||||
\(863\) | −11.0144 | − | 19.0775i | −0.374935 | − | 0.649407i | 0.615382 | − | 0.788229i | \(-0.289002\pi\) |
−0.990317 | + | 0.138822i | \(0.955668\pi\) | |||||||
\(864\) | −1.99820 | − | 5.29218i | −0.0679802 | − | 0.180044i | ||||
\(865\) | 3.76889 | − | 6.52791i | 0.128146 | − | 0.221956i | ||||
\(866\) | −43.1407 | − | 22.3266i | −1.46598 | − | 0.758689i | ||||
\(867\) | −13.6410 | − | 32.9322i | −0.463271 | − | 1.11844i | ||||
\(868\) | 16.8538 | + | 19.6174i | 0.572055 | + | 0.665857i | ||||
\(869\) | −6.28222 | − | 2.60218i | −0.213110 | − | 0.0882729i | ||||
\(870\) | 0.249282 | − | 2.93003i | 0.00845147 | − | 0.0993372i | ||||
\(871\) | 25.5209 | − | 6.83830i | 0.864743 | − | 0.231707i | ||||
\(872\) | −0.0591412 | − | 8.24048i | −0.00200277 | − | 0.279058i | ||||
\(873\) | 3.19700 | + | 0.856635i | 0.108202 | + | 0.0289927i | ||||
\(874\) | −14.4118 | + | 2.57676i | −0.487487 | + | 0.0871601i | ||||
\(875\) | −12.6537 | + | 20.1659i | −0.427772 | + | 0.681730i | ||||
\(876\) | 2.46090 | − | 2.27675i | 0.0831460 | − | 0.0769243i | ||||
\(877\) | 9.61412 | + | 7.37717i | 0.324646 | + | 0.249109i | 0.758206 | − | 0.652015i | \(-0.226076\pi\) |
−0.433560 | + | 0.901125i | \(0.642743\pi\) | |||||||
\(878\) | 2.20558 | − | 2.41856i | 0.0744348 | − | 0.0816225i | ||||
\(879\) | −0.332800 | − | 0.192142i | −0.0112251 | − | 0.00648079i | ||||
\(880\) | 9.57372 | + | 20.0283i | 0.322730 | + | 0.675153i | ||||
\(881\) | − | 15.2036i | − | 0.512222i | −0.966647 | − | 0.256111i | \(-0.917559\pi\) | ||
0.966647 | − | 0.256111i | \(-0.0824413\pi\) | |||||||
\(882\) | 4.71182 | + | 8.70625i | 0.158655 | + | 0.293155i | ||||
\(883\) | −40.9838 | + | 16.9760i | −1.37921 | + | 0.571289i | −0.944271 | − | 0.329170i | \(-0.893231\pi\) |
−0.434942 | + | 0.900458i | \(0.643231\pi\) | |||||||
\(884\) | −32.8866 | − | 62.4434i | −1.10610 | − | 2.10020i | ||||
\(885\) | −1.49921 | − | 1.95380i | −0.0503953 | − | 0.0656764i | ||||
\(886\) | 6.58389 | + | 2.37852i | 0.221190 | + | 0.0799078i | ||||
\(887\) | 15.1867 | + | 4.06926i | 0.509919 | + | 0.136632i | 0.504600 | − | 0.863353i | \(-0.331640\pi\) |
0.00531954 | + | 0.999986i | \(0.498307\pi\) | |||||||
\(888\) | 1.74366 | + | 12.5478i | 0.0585132 | + | 0.421078i | ||||
\(889\) | −20.9823 | − | 29.5330i | −0.703723 | − | 0.990505i | ||||
\(890\) | 3.72791 | − | 5.35121i | 0.124960 | − | 0.179373i | ||||
\(891\) | −0.724565 | − | 5.50362i | −0.0242739 | − | 0.184378i | ||||
\(892\) | 10.1687 | + | 14.3755i | 0.340472 | + | 0.481327i | ||||
\(893\) | −59.9037 | − | 7.88647i | −2.00460 | − | 0.263911i | ||||
\(894\) | 0.0896801 | − | 0.173285i | 0.00299935 | − | 0.00579551i | ||||
\(895\) | 12.4149 | 0.414983 | ||||||||
\(896\) | 27.3767 | − | 12.1043i | 0.914593 | − | 0.404376i | ||||
\(897\) | 6.70302 | 0.223807 | ||||||||
\(898\) | −21.3938 | + | 41.3382i | −0.713919 | + | 1.37947i | ||||
\(899\) | −10.0786 | − | 1.32687i | −0.336140 | − | 0.0442536i | ||||
\(900\) | −4.62050 | − | 6.53201i | −0.154017 | − | 0.217734i | ||||
\(901\) | 3.62384 | + | 27.5258i | 0.120728 | + | 0.917018i | ||||
\(902\) | 25.8197 | − | 37.0627i | 0.859702 | − | 1.23405i | ||||
\(903\) | −23.7456 | + | 2.24151i | −0.790203 | + | 0.0745929i | ||||
\(904\) | 3.83145 | + | 27.5722i | 0.127432 | + | 0.917037i | ||||
\(905\) | −13.9007 | − | 3.72469i | −0.462075 | − | 0.123813i | ||||
\(906\) | −13.2971 | − | 4.80376i | −0.441767 | − | 0.159594i | ||||
\(907\) | 6.94972 | + | 9.05705i | 0.230762 | + | 0.300734i | 0.894354 | − | 0.447360i | \(-0.147636\pi\) |
−0.663592 | + | 0.748094i | \(0.730969\pi\) | |||||||
\(908\) | 14.0187 | + | 26.6180i | 0.465227 | + | 0.883349i | ||||
\(909\) | 0.532407 | − | 0.220530i | 0.0176588 | − | 0.00731452i | ||||
\(910\) | −11.2077 | − | 14.3300i | −0.371533 | − | 0.475034i | ||||
\(911\) | − | 2.88798i | − | 0.0956831i | −0.998855 | − | 0.0478416i | \(-0.984766\pi\) | ||
0.998855 | − | 0.0478416i | \(-0.0152343\pi\) | |||||||
\(912\) | −27.1066 | + | 12.9572i | −0.897589 | + | 0.429056i | ||||
\(913\) | −58.4235 | − | 33.7308i | −1.93354 | − | 1.11633i | ||||
\(914\) | 18.3002 | − | 20.0673i | 0.605315 | − | 0.663767i | ||||
\(915\) | 7.52193 | + | 5.77178i | 0.248667 | + | 0.190809i | ||||
\(916\) | −43.1753 | + | 39.9446i | −1.42655 | + | 1.31981i | ||||
\(917\) | 34.7257 | + | 1.27784i | 1.14675 | + | 0.0421980i | ||||
\(918\) | 10.1010 | − | 1.80600i | 0.333382 | − | 0.0596068i | ||||
\(919\) | 11.6150 | + | 3.11222i | 0.383142 | + | 0.102663i | 0.445249 | − | 0.895407i | \(-0.353115\pi\) |
−0.0621066 | + | 0.998070i | \(0.519782\pi\) | |||||||
\(920\) | −0.0279703 | − | 3.89726i | −0.000922154 | − | 0.128489i | ||||
\(921\) | 17.9382 | − | 4.80652i | 0.591083 | − | 0.158380i | ||||
\(922\) | −1.77590 | + | 20.8737i | −0.0584863 | + | 0.687438i | ||||
\(923\) | 55.9911 | + | 23.1923i | 1.84297 | + | 0.763383i | ||||
\(924\) | 28.8662 | − | 5.43695i | 0.949627 | − | 0.178862i | ||||
\(925\) | 6.85696 | + | 16.5542i | 0.225455 | + | 0.544297i | ||||
\(926\) | −2.62908 | − | 1.36063i | −0.0863970 | − | 0.0447131i | ||||
\(927\) | −1.48252 | + | 2.56780i | −0.0486923 | + | 0.0843375i | ||||
\(928\) | −4.84438 | + | 10.7218i | −0.159025 | + | 0.351960i | ||||
\(929\) | −27.1252 | − | 46.9822i | −0.889948 | − | 1.54144i | −0.839935 | − | 0.542687i | \(-0.817407\pi\) |
−0.0500134 | − | 0.998749i | \(-0.515926\pi\) | |||||||
\(930\) | 5.81928 | − | 3.72689i | 0.190822 | − | 0.122210i | ||||
\(931\) | 43.9521 | − | 28.8548i | 1.44047 | − | 0.945679i | ||||
\(932\) | 4.28462 | + | 11.5989i | 0.140347 | + | 0.379935i | ||||
\(933\) | 1.26433 | + | 9.60358i | 0.0413925 | + | 0.314407i | ||||
\(934\) | −3.41765 | + | 1.60364i | −0.111829 | + | 0.0524728i | ||||
\(935\) | −38.8951 | + | 10.4219i | −1.27201 | + | 0.340833i | ||||
\(936\) | 13.2610 | − | 3.65548i | 0.433449 | − | 0.119483i | ||||
\(937\) | −6.31998 | + | 6.31998i | −0.206465 | + | 0.206465i | −0.802763 | − | 0.596298i | \(-0.796638\pi\) |
0.596298 | + | 0.802763i | \(0.296638\pi\) | |||||||
\(938\) | −20.3265 | + | 0.187905i | −0.663685 | + | 0.00613531i | ||||
\(939\) | −1.68541 | + | 4.06894i | −0.0550012 | + | 0.132785i | ||||
\(940\) | 4.76321 | − | 15.3629i | 0.155359 | − | 0.501082i | ||||
\(941\) | −2.66559 | + | 20.2472i | −0.0868957 | + | 0.660039i | 0.891459 | + | 0.453102i | \(0.149683\pi\) |
−0.978354 | + | 0.206937i | \(0.933651\pi\) | |||||||
\(942\) | −13.3352 | + | 14.6229i | −0.434485 | + | 0.476441i | ||||
\(943\) | −6.86782 | + | 3.96514i | −0.223647 | + | 0.129123i | ||||
\(944\) | 3.05275 | + | 9.36853i | 0.0993585 | + | 0.304920i | ||||
\(945\) | 2.47931 | − | 0.921681i | 0.0806519 | − | 0.0299823i | ||||
\(946\) | −15.1523 | + | 69.1298i | −0.492643 | + | 2.24760i | ||||
\(947\) | 27.1857 | + | 20.8603i | 0.883418 | + | 0.677870i | 0.947390 | − | 0.320081i | \(-0.103710\pi\) |
−0.0639723 | + | 0.997952i | \(0.520377\pi\) | |||||||
\(948\) | 2.07250 | + | 1.30643i | 0.0673116 | + | 0.0424308i | ||||
\(949\) | 4.96281 | + | 6.46765i | 0.161100 | + | 0.209949i | ||||
\(950\) | −32.4871 | + | 27.3926i | −1.05402 | + | 0.888735i | ||||
\(951\) | 2.61793 | − | 2.61793i | 0.0848921 | − | 0.0848921i | ||||
\(952\) | 12.4945 | + | 52.8398i | 0.404948 | + | 1.71255i | ||||
\(953\) | −20.1881 | − | 20.1881i | −0.653957 | − | 0.653957i | 0.299986 | − | 0.953943i | \(-0.403018\pi\) |
−0.953943 | + | 0.299986i | \(0.903018\pi\) | |||||||
\(954\) | −5.39188 | − | 0.458733i | −0.174568 | − | 0.0148520i | ||||
\(955\) | −5.59268 | + | 4.29141i | −0.180975 | + | 0.138867i | ||||
\(956\) | −2.27268 | + | 1.60761i | −0.0735036 | + | 0.0519937i | ||||
\(957\) | −7.02845 | + | 9.15965i | −0.227198 | + | 0.296090i | ||||
\(958\) | 22.1322 | + | 34.5579i | 0.715059 | + | 1.11651i | ||||
\(959\) | −37.5734 | + | 45.4064i | −1.21331 | + | 1.46625i | ||||
\(960\) | −2.18070 | − | 7.69494i | −0.0703818 | − | 0.248353i | ||||
\(961\) | 3.55552 | + | 6.15833i | 0.114694 | + | 0.198656i | ||||
\(962\) | −30.7727 | + | 1.41733i | −0.992153 | + | 0.0456966i | ||||
\(963\) | −5.72796 | − | 0.754101i | −0.184581 | − | 0.0243006i | ||||
\(964\) | 1.74012 | + | 18.8504i | 0.0560453 | + | 0.607130i | ||||
\(965\) | 19.1001 | + | 7.91152i | 0.614854 | + | 0.254681i | ||||
\(966\) | −4.99344 | − | 1.28863i | −0.160661 | − | 0.0414611i | ||||
\(967\) | −13.3970 | − | 13.3970i | −0.430819 | − | 0.430819i | 0.458088 | − | 0.888907i | \(-0.348534\pi\) |
−0.888907 | + | 0.458088i | \(0.848534\pi\) | |||||||
\(968\) | 6.91635 | − | 55.6164i | 0.222300 | − | 1.78758i | ||||
\(969\) | −14.1052 | − | 52.6412i | −0.453123 | − | 1.69108i | ||||
\(970\) | 4.40116 | + | 1.58998i | 0.141313 | + | 0.0510511i | ||||
\(971\) | 16.9372 | − | 2.22982i | 0.543540 | − | 0.0715584i | 0.146244 | − | 0.989249i | \(-0.453282\pi\) |
0.397297 | + | 0.917690i | \(0.369948\pi\) | |||||||
\(972\) | −0.0776779 | + | 1.99849i | −0.00249152 | + | 0.0641016i | ||||
\(973\) | −36.4746 | + | 8.34884i | −1.16932 | + | 0.267651i | ||||
\(974\) | −11.9501 | + | 54.5203i | −0.382905 | + | 1.74694i | ||||
\(975\) | 16.8492 | − | 9.72791i | 0.539607 | − | 0.311542i | ||||
\(976\) | −20.6873 | − | 31.7970i | −0.662184 | − | 1.01780i | ||||
\(977\) | 36.7912 | + | 21.2414i | 1.17705 | + | 0.679573i | 0.955331 | − | 0.295537i | \(-0.0954985\pi\) |
0.221723 | + | 0.975110i | \(0.428832\pi\) | |||||||
\(978\) | 5.49673 | + | 17.2891i | 0.175766 | + | 0.552844i | ||||
\(979\) | −23.6566 | + | 9.79888i | −0.756068 | + | 0.313174i | ||||
\(980\) | 5.59435 | + | 12.8298i | 0.178705 | + | 0.409833i | ||||
\(981\) | −1.11496 | + | 2.69175i | −0.0355979 | + | 0.0859409i | ||||
\(982\) | 23.4261 | + | 27.7829i | 0.747557 | + | 0.886588i | ||||
\(983\) | −7.62687 | − | 28.4639i | −0.243259 | − | 0.907857i | −0.974250 | − | 0.225469i | \(-0.927608\pi\) |
0.730991 | − | 0.682387i | \(-0.239058\pi\) | |||||||
\(984\) | −11.4247 | + | 11.5898i | −0.364205 | + | 0.369470i | ||||
\(985\) | 4.28210 | − | 15.9810i | 0.136439 | − | 0.509197i | ||||
\(986\) | −17.5113 | − | 12.1992i | −0.557674 | − | 0.388502i | ||||
\(987\) | −18.0278 | − | 11.3121i | −0.573832 | − | 0.360068i | ||||
\(988\) | −25.3154 | − | 68.5314i | −0.805389 | − | 2.18027i | ||||
\(989\) | 7.56385 | − | 9.85740i | 0.240516 | − | 0.313447i | ||||
\(990\) | −0.361102 | − | 7.84016i | −0.0114766 | − | 0.249177i | ||||
\(991\) | −13.6243 | + | 23.5980i | −0.432791 | + | 0.749616i | −0.997112 | − | 0.0759390i | \(-0.975805\pi\) |
0.564321 | + | 0.825555i | \(0.309138\pi\) | |||||||
\(992\) | −26.9197 | + | 6.30670i | −0.854703 | + | 0.200238i | ||||
\(993\) | 3.37451 | 0.107087 | ||||||||
\(994\) | −37.2521 | − | 28.0413i | −1.18157 | − | 0.889416i | ||||
\(995\) | 3.10360 | + | 7.49276i | 0.0983908 | + | 0.237536i | ||||
\(996\) | 18.6937 | + | 15.5341i | 0.592334 | + | 0.492217i | ||||
\(997\) | −32.4961 | + | 24.9351i | −1.02916 | + | 0.789704i | −0.977919 | − | 0.208982i | \(-0.932985\pi\) |
−0.0512429 | + | 0.998686i | \(0.516318\pi\) | |||||||
\(998\) | 19.9667 | − | 9.36884i | 0.632034 | − | 0.296565i | ||||
\(999\) | 1.15924 | − | 4.32634i | 0.0366767 | − | 0.136879i |
(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 | 672.2.cj.a.613.44 | yes | 512 | |
7.2 | even | 3 | inner | 672.2.cj.a.37.1 | ✓ | 512 | |
32.13 | even | 8 | inner | 672.2.cj.a.109.1 | yes | 512 | |
224.205 | even | 24 | inner | 672.2.cj.a.205.44 | yes | 512 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
672.2.cj.a.37.1 | ✓ | 512 | 7.2 | even | 3 | inner | |
672.2.cj.a.109.1 | yes | 512 | 32.13 | even | 8 | inner | |
672.2.cj.a.205.44 | yes | 512 | 224.205 | even | 24 | inner | |
672.2.cj.a.613.44 | yes | 512 | 1.1 | even | 1 | trivial |