Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [300,2,Mod(59,300)]
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, 7]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("300.59");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 300 = 2^{2} \cdot 3 \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 300.r (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 | 59.11 | ||
Character | \(\chi\) | \(=\) | 300.59 |
Dual form | 300.2.r.a.239.11 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/300\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(151\) | \(277\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(e\left(\frac{7}{10}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.19645 | + | 0.753994i | −0.846018 | + | 0.533154i | ||||
\(3\) | −0.269355 | − | 1.71098i | −0.155512 | − | 0.987834i | ||||
\(4\) | 0.862987 | − | 1.80423i | 0.431494 | − | 0.902116i | ||||
\(5\) | −1.27460 | − | 1.83722i | −0.570018 | − | 0.821632i | ||||
\(6\) | 1.61234 | + | 1.84401i | 0.658234 | + | 0.752813i | ||||
\(7\) | 4.55385 | 1.72119 | 0.860597 | − | 0.509286i | \(-0.170091\pi\) | ||||
0.860597 | + | 0.509286i | \(0.170091\pi\) | |||||||
\(8\) | 0.327858 | + | 2.80936i | 0.115915 | + | 0.993259i | ||||
\(9\) | −2.85490 | + | 0.921722i | −0.951632 | + | 0.307241i | ||||
\(10\) | 2.91025 | + | 1.23711i | 0.920302 | + | 0.391208i | ||||
\(11\) | 0.933681 | + | 0.678359i | 0.281515 | + | 0.204533i | 0.719578 | − | 0.694412i | \(-0.244335\pi\) |
−0.438063 | + | 0.898944i | \(0.644335\pi\) | |||||||
\(12\) | −3.31945 | − | 0.990573i | −0.958243 | − | 0.285954i | ||||
\(13\) | −1.88353 | − | 2.59245i | −0.522396 | − | 0.719017i | 0.463552 | − | 0.886070i | \(-0.346575\pi\) |
−0.985948 | + | 0.167053i | \(0.946575\pi\) | |||||||
\(14\) | −5.44846 | + | 3.43358i | −1.45616 | + | 0.917662i | ||||
\(15\) | −2.80013 | + | 2.67568i | −0.722991 | + | 0.690857i | ||||
\(16\) | −2.51051 | − | 3.11406i | −0.627627 | − | 0.778514i | ||||
\(17\) | 1.86218 | − | 5.73119i | 0.451644 | − | 1.39002i | −0.423386 | − | 0.905949i | \(-0.639159\pi\) |
0.875030 | − | 0.484068i | \(-0.160841\pi\) | |||||||
\(18\) | 2.72077 | − | 3.25537i | 0.641291 | − | 0.767298i | ||||
\(19\) | −5.10616 | − | 1.65909i | −1.17143 | − | 0.380622i | −0.342256 | − | 0.939607i | \(-0.611191\pi\) |
−0.829178 | + | 0.558985i | \(0.811191\pi\) | |||||||
\(20\) | −4.41474 | + | 0.714172i | −0.987167 | + | 0.159694i | ||||
\(21\) | −1.22660 | − | 7.79154i | −0.267667 | − | 1.70025i | ||||
\(22\) | −1.62858 | − | 0.107633i | −0.347215 | − | 0.0229475i | ||||
\(23\) | 1.32736 | − | 1.82695i | 0.276773 | − | 0.380945i | −0.647889 | − | 0.761735i | \(-0.724348\pi\) |
0.924662 | + | 0.380790i | \(0.124348\pi\) | |||||||
\(24\) | 4.71845 | − | 1.31767i | 0.963149 | − | 0.268969i | ||||
\(25\) | −1.75079 | + | 4.68345i | −0.350158 | + | 0.936691i | ||||
\(26\) | 4.20824 | + | 1.68157i | 0.825304 | + | 0.329784i | ||||
\(27\) | 2.34603 | + | 4.63639i | 0.451493 | + | 0.892275i | ||||
\(28\) | 3.92992 | − | 8.21621i | 0.742684 | − | 1.55272i | ||||
\(29\) | −5.12583 | + | 1.66548i | −0.951842 | + | 0.309272i | −0.743464 | − | 0.668776i | \(-0.766819\pi\) |
−0.208378 | + | 0.978048i | \(0.566819\pi\) | |||||||
\(30\) | 1.33277 | − | 5.31260i | 0.243330 | − | 0.969944i | ||||
\(31\) | 0.0716621 | + | 0.0232844i | 0.0128709 | + | 0.00418201i | 0.315445 | − | 0.948944i | \(-0.397846\pi\) |
−0.302574 | + | 0.953126i | \(0.597846\pi\) | |||||||
\(32\) | 5.35168 | + | 1.83291i | 0.946052 | + | 0.324016i | ||||
\(33\) | 0.909165 | − | 1.78023i | 0.158265 | − | 0.309898i | ||||
\(34\) | 2.09328 | + | 8.26115i | 0.358994 | + | 1.41678i | ||||
\(35\) | −5.80434 | − | 8.36645i | −0.981112 | − | 1.41419i | ||||
\(36\) | −0.800737 | + | 5.94633i | −0.133456 | + | 0.991055i | ||||
\(37\) | 0.124395 | + | 0.171215i | 0.0204504 | + | 0.0281475i | 0.819120 | − | 0.573623i | \(-0.194462\pi\) |
−0.798669 | + | 0.601770i | \(0.794462\pi\) | |||||||
\(38\) | 7.36021 | − | 1.86499i | 1.19398 | − | 0.302541i | ||||
\(39\) | −3.92829 | + | 3.92096i | −0.629030 | + | 0.627857i | ||||
\(40\) | 4.74354 | − | 4.18316i | 0.750020 | − | 0.661416i | ||||
\(41\) | −0.709308 | − | 0.976279i | −0.110775 | − | 0.152469i | 0.750029 | − | 0.661404i | \(-0.230039\pi\) |
−0.860805 | + | 0.508935i | \(0.830039\pi\) | |||||||
\(42\) | 7.34235 | + | 8.39734i | 1.13295 | + | 1.29574i | ||||
\(43\) | 2.44269 | 0.372507 | 0.186254 | − | 0.982502i | \(-0.440365\pi\) | ||||
0.186254 | + | 0.982502i | \(0.440365\pi\) | |||||||
\(44\) | 2.02967 | − | 1.09916i | 0.305984 | − | 0.165705i | ||||
\(45\) | 5.33226 | + | 4.07026i | 0.794886 | + | 0.606758i | ||||
\(46\) | −0.210608 | + | 3.18667i | −0.0310524 | + | 0.469849i | ||||
\(47\) | 4.66180 | − | 1.51471i | 0.679993 | − | 0.220943i | 0.0514005 | − | 0.998678i | \(-0.483631\pi\) |
0.628592 | + | 0.777735i | \(0.283631\pi\) | |||||||
\(48\) | −4.65187 | + | 5.13421i | −0.671439 | + | 0.741060i | ||||
\(49\) | 13.7376 | 1.96251 | ||||||||
\(50\) | −1.43656 | − | 6.92360i | −0.203160 | − | 0.979146i | ||||
\(51\) | −10.3075 | − | 1.64242i | −1.44334 | − | 0.229985i | ||||
\(52\) | −6.30284 | + | 1.16107i | −0.874047 | + | 0.161011i | ||||
\(53\) | −2.83313 | − | 8.71946i | −0.389160 | − | 1.19771i | −0.933417 | − | 0.358792i | \(-0.883189\pi\) |
0.544258 | − | 0.838918i | \(-0.316811\pi\) | |||||||
\(54\) | −6.30272 | − | 3.77833i | −0.857691 | − | 0.514165i | ||||
\(55\) | 0.0562285 | − | 2.58002i | 0.00758185 | − | 0.347889i | ||||
\(56\) | 1.49302 | + | 12.7934i | 0.199513 | + | 1.70959i | ||||
\(57\) | −1.46330 | + | 9.18341i | −0.193819 | + | 1.21637i | ||||
\(58\) | 4.87704 | − | 5.85751i | 0.640386 | − | 0.769129i | ||||
\(59\) | −0.913575 | + | 0.663751i | −0.118937 | + | 0.0864130i | −0.645664 | − | 0.763622i | \(-0.723419\pi\) |
0.526726 | + | 0.850035i | \(0.323419\pi\) | |||||||
\(60\) | 2.41107 | + | 7.36117i | 0.311267 | + | 0.950322i | ||||
\(61\) | 2.75747 | + | 2.00342i | 0.353058 | + | 0.256512i | 0.750151 | − | 0.661267i | \(-0.229981\pi\) |
−0.397093 | + | 0.917779i | \(0.629981\pi\) | |||||||
\(62\) | −0.103296 | + | 0.0261741i | −0.0131187 | + | 0.00332412i | ||||
\(63\) | −13.0008 | + | 4.19739i | −1.63794 | + | 0.528821i | ||||
\(64\) | −7.78502 | + | 1.84214i | −0.973127 | + | 0.230268i | ||||
\(65\) | −2.36218 | + | 6.76480i | −0.292992 | + | 0.839070i | ||||
\(66\) | 0.254509 | + | 2.81546i | 0.0313279 | + | 0.346559i | ||||
\(67\) | −0.333847 | + | 1.02748i | −0.0407860 | + | 0.125526i | −0.969376 | − | 0.245580i | \(-0.921022\pi\) |
0.928590 | + | 0.371107i | \(0.121022\pi\) | |||||||
\(68\) | −8.73336 | − | 8.30574i | −1.05908 | − | 1.00722i | ||||
\(69\) | −3.48340 | − | 1.77898i | −0.419352 | − | 0.214164i | ||||
\(70\) | 13.2529 | + | 5.63361i | 1.58402 | + | 0.673345i | ||||
\(71\) | 3.48321 | + | 10.7202i | 0.413381 | + | 1.27226i | 0.913691 | + | 0.406410i | \(0.133220\pi\) |
−0.500309 | + | 0.865847i | \(0.666780\pi\) | |||||||
\(72\) | −3.52545 | − | 7.71824i | −0.415478 | − | 0.909603i | ||||
\(73\) | −1.69232 | + | 2.32928i | −0.198071 | + | 0.272622i | −0.896486 | − | 0.443071i | \(-0.853889\pi\) |
0.698415 | + | 0.715693i | \(0.253889\pi\) | |||||||
\(74\) | −0.277927 | − | 0.111057i | −0.0323084 | − | 0.0129101i | ||||
\(75\) | 8.48487 | + | 1.73405i | 0.979749 | + | 0.200231i | ||||
\(76\) | −7.39994 | + | 7.78092i | −0.848831 | + | 0.892533i | ||||
\(77\) | 4.25184 | + | 3.08915i | 0.484543 | + | 0.352041i | ||||
\(78\) | 1.74362 | − | 7.65315i | 0.197427 | − | 0.866548i | ||||
\(79\) | 2.26670 | − | 0.736495i | 0.255024 | − | 0.0828622i | −0.178715 | − | 0.983901i | \(-0.557194\pi\) |
0.433739 | + | 0.901039i | \(0.357194\pi\) | |||||||
\(80\) | −2.52133 | + | 8.58154i | −0.281894 | + | 0.959446i | ||||
\(81\) | 7.30086 | − | 5.26284i | 0.811206 | − | 0.584760i | ||||
\(82\) | 1.58476 | + | 0.633256i | 0.175008 | + | 0.0699314i | ||||
\(83\) | 16.1707 | + | 5.25416i | 1.77496 | + | 0.576719i | 0.998566 | − | 0.0535289i | \(-0.0170469\pi\) |
0.776394 | + | 0.630248i | \(0.217047\pi\) | |||||||
\(84\) | −15.1163 | − | 4.51092i | −1.64932 | − | 0.492182i | ||||
\(85\) | −12.9030 | + | 3.88374i | −1.39953 | + | 0.421250i | ||||
\(86\) | −2.92256 | + | 1.84178i | −0.315148 | + | 0.198604i | ||||
\(87\) | 4.23027 | + | 8.32158i | 0.453533 | + | 0.892167i | ||||
\(88\) | −1.59964 | + | 2.84545i | −0.170522 | + | 0.303326i | ||||
\(89\) | 7.86895 | − | 10.8307i | 0.834107 | − | 1.14805i | −0.153038 | − | 0.988220i | \(-0.548906\pi\) |
0.987145 | − | 0.159830i | \(-0.0510945\pi\) | |||||||
\(90\) | −9.44873 | − | 0.849372i | −0.995984 | − | 0.0895317i | ||||
\(91\) | −8.57730 | − | 11.8056i | −0.899146 | − | 1.23757i | ||||
\(92\) | −2.15075 | − | 3.97149i | −0.224231 | − | 0.414057i | ||||
\(93\) | 0.0205366 | − | 0.128884i | 0.00212955 | − | 0.0133647i | ||||
\(94\) | −4.43553 | + | 5.32724i | −0.457490 | + | 0.549463i | ||||
\(95\) | 3.46018 | + | 11.4958i | 0.355007 | + | 1.17945i | ||||
\(96\) | 1.69457 | − | 9.65031i | 0.172951 | − | 0.984930i | ||||
\(97\) | 5.51850 | − | 1.79307i | 0.560318 | − | 0.182058i | −0.0151461 | − | 0.999885i | \(-0.504821\pi\) |
0.575464 | + | 0.817827i | \(0.304821\pi\) | |||||||
\(98\) | −16.4363 | + | 10.3580i | −1.66032 | + | 1.04632i | ||||
\(99\) | −3.29082 | − | 1.07605i | −0.330740 | − | 0.108147i | ||||
\(100\) | 6.93913 | + | 7.20059i | 0.693913 | + | 0.720059i | ||||
\(101\) | 13.5605i | 1.34932i | 0.738127 | + | 0.674662i | \(0.235711\pi\) | ||||
−0.738127 | + | 0.674662i | \(0.764289\pi\) | |||||||
\(102\) | 13.5708 | − | 5.80674i | 1.34371 | − | 0.574953i | ||||
\(103\) | 4.23913 | + | 13.0467i | 0.417694 | + | 1.28553i | 0.909819 | + | 0.415005i | \(0.136220\pi\) |
−0.492126 | + | 0.870524i | \(0.663780\pi\) | |||||||
\(104\) | 6.66560 | − | 6.14146i | 0.653616 | − | 0.602220i | ||||
\(105\) | −12.7514 | + | 12.1846i | −1.24441 | + | 1.18910i | ||||
\(106\) | 9.96411 | + | 8.29625i | 0.967800 | + | 0.805803i | ||||
\(107\) | − | 5.23345i | − | 0.505936i | −0.967475 | − | 0.252968i | \(-0.918593\pi\) | ||
0.967475 | − | 0.252968i | \(-0.0814068\pi\) | |||||||
\(108\) | 10.3897 | − | 0.231631i | 0.999752 | − | 0.0222887i | ||||
\(109\) | 6.23650 | − | 4.53108i | 0.597348 | − | 0.433999i | −0.247588 | − | 0.968865i | \(-0.579638\pi\) |
0.844937 | + | 0.534866i | \(0.179638\pi\) | |||||||
\(110\) | 1.87804 | + | 3.12926i | 0.179064 | + | 0.298363i | ||||
\(111\) | 0.259438 | − | 0.258954i | 0.0246248 | − | 0.0245789i | ||||
\(112\) | −11.4325 | − | 14.1810i | −1.08027 | − | 1.33997i | ||||
\(113\) | −9.18534 | + | 6.67354i | −0.864084 | + | 0.627794i | −0.928993 | − | 0.370097i | \(-0.879324\pi\) |
0.0649089 | + | 0.997891i | \(0.479324\pi\) | |||||||
\(114\) | −5.17347 | − | 12.0908i | −0.484540 | − | 1.13241i | ||||
\(115\) | −5.04836 | − | 0.110023i | −0.470762 | − | 0.0102597i | ||||
\(116\) | −1.41861 | + | 10.6855i | −0.131714 | + | 0.992121i | ||||
\(117\) | 7.76679 | + | 5.66509i | 0.718040 | + | 0.523738i | ||||
\(118\) | 0.592583 | − | 1.48297i | 0.0545517 | − | 0.136519i | ||||
\(119\) | 8.48008 | − | 26.0990i | 0.777367 | − | 2.39249i | ||||
\(120\) | −8.43499 | − | 6.98934i | −0.770006 | − | 0.638036i | ||||
\(121\) | −2.98760 | − | 9.19488i | −0.271600 | − | 0.835898i | ||||
\(122\) | −4.80975 | − | 0.317877i | −0.435454 | − | 0.0287793i | ||||
\(123\) | −1.47934 | + | 1.47658i | −0.133387 | + | 0.133138i | ||||
\(124\) | 0.103854 | − | 0.109201i | 0.00932637 | − | 0.00980653i | ||||
\(125\) | 10.8361 | − | 2.75293i | 0.969212 | − | 0.246230i | ||||
\(126\) | 12.3900 | − | 14.8245i | 1.10379 | − | 1.32067i | ||||
\(127\) | −0.342483 | − | 0.248829i | −0.0303905 | − | 0.0220800i | 0.572486 | − | 0.819914i | \(-0.305979\pi\) |
−0.602877 | + | 0.797834i | \(0.705979\pi\) | |||||||
\(128\) | 7.92542 | − | 8.07389i | 0.700515 | − | 0.713638i | ||||
\(129\) | −0.657953 | − | 4.17940i | −0.0579295 | − | 0.367975i | ||||
\(130\) | −2.27439 | − | 9.87481i | −0.199477 | − | 0.866078i | ||||
\(131\) | 3.80477 | − | 11.7099i | 0.332424 | − | 1.02310i | −0.635553 | − | 0.772057i | \(-0.719228\pi\) |
0.967977 | − | 0.251039i | \(-0.0807721\pi\) | |||||||
\(132\) | −2.42735 | − | 3.17666i | −0.211273 | − | 0.276493i | ||||
\(133\) | −23.2527 | − | 7.55526i | −2.01626 | − | 0.655124i | ||||
\(134\) | −0.375279 | − | 1.48104i | −0.0324192 | − | 0.127943i | ||||
\(135\) | 5.52785 | − | 10.2197i | 0.475762 | − | 0.879574i | ||||
\(136\) | 16.7115 | + | 3.35251i | 1.43300 | + | 0.287475i | ||||
\(137\) | 8.66443 | − | 6.29508i | 0.740252 | − | 0.537825i | −0.152538 | − | 0.988298i | \(-0.548745\pi\) |
0.892790 | + | 0.450473i | \(0.148745\pi\) | |||||||
\(138\) | 5.50905 | − | 0.498001i | 0.468962 | − | 0.0423927i | ||||
\(139\) | 11.6693 | − | 16.0614i | 0.989779 | − | 1.36231i | 0.0583879 | − | 0.998294i | \(-0.481404\pi\) |
0.931391 | − | 0.364020i | \(-0.118596\pi\) | |||||||
\(140\) | −20.1041 | + | 3.25223i | −1.69911 | + | 0.274864i | ||||
\(141\) | −3.84731 | − | 7.56824i | −0.324002 | − | 0.637361i | ||||
\(142\) | −12.2505 | − | 10.1999i | −1.02804 | − | 0.855956i | ||||
\(143\) | − | 3.69823i | − | 0.309261i | ||||||
\(144\) | 10.0375 | + | 6.57632i | 0.836461 | + | 0.548027i | ||||
\(145\) | 9.59324 | + | 7.29448i | 0.796676 | + | 0.605773i | ||||
\(146\) | 0.268516 | − | 4.06287i | 0.0222225 | − | 0.336245i | ||||
\(147\) | −3.70029 | − | 23.5047i | −0.305194 | − | 1.93863i | ||||
\(148\) | 0.416262 | − | 0.0766809i | 0.0342165 | − | 0.00630313i | ||||
\(149\) | 21.4419i | 1.75659i | 0.478119 | + | 0.878295i | \(0.341319\pi\) | ||||
−0.478119 | + | 0.878295i | \(0.658681\pi\) | |||||||
\(150\) | −11.4592 | + | 4.32283i | −0.935639 | + | 0.352958i | ||||
\(151\) | 18.0794i | 1.47128i | 0.677374 | + | 0.735638i | \(0.263118\pi\) | ||||
−0.677374 | + | 0.735638i | \(0.736882\pi\) | |||||||
\(152\) | 2.98689 | − | 14.8890i | 0.242269 | − | 1.20766i | ||||
\(153\) | −0.0337543 | + | 18.0784i | −0.00272887 | + | 1.46155i | ||||
\(154\) | −7.41632 | − | 0.490146i | −0.597624 | − | 0.0394971i | ||||
\(155\) | −0.0485618 | − | 0.161338i | −0.00390058 | − | 0.0129590i | ||||
\(156\) | 3.68426 | + | 10.4713i | 0.294977 | + | 0.838374i | ||||
\(157\) | 15.3020i | 1.22124i | 0.791925 | + | 0.610618i | \(0.209079\pi\) | ||||
−0.791925 | + | 0.610618i | \(0.790921\pi\) | |||||||
\(158\) | −2.15668 | + | 2.59026i | −0.171576 | + | 0.206070i | ||||
\(159\) | −14.1557 | + | 7.19605i | −1.12262 | + | 0.570684i | ||||
\(160\) | −3.45378 | − | 12.1685i | −0.273045 | − | 0.962001i | ||||
\(161\) | 6.04458 | − | 8.31965i | 0.476380 | − | 0.655681i | ||||
\(162\) | −4.76696 | + | 11.8015i | −0.374528 | + | 0.927216i | ||||
\(163\) | 9.40331 | − | 6.83191i | 0.736524 | − | 0.535116i | −0.155096 | − | 0.987899i | \(-0.549569\pi\) |
0.891621 | + | 0.452783i | \(0.149569\pi\) | |||||||
\(164\) | −2.37356 | + | 0.437241i | −0.185344 | + | 0.0341427i | ||||
\(165\) | −4.42950 | + | 0.598736i | −0.344836 | + | 0.0466115i | ||||
\(166\) | −23.3090 | + | 5.90622i | −1.80913 | + | 0.458412i | ||||
\(167\) | −7.12195 | − | 2.31406i | −0.551113 | − | 0.179067i | 0.0202055 | − | 0.999796i | \(-0.493568\pi\) |
−0.571319 | + | 0.820728i | \(0.693568\pi\) | |||||||
\(168\) | 21.4871 | − | 6.00050i | 1.65777 | − | 0.462948i | ||||
\(169\) | 0.844086 | − | 2.59783i | 0.0649297 | − | 0.199833i | ||||
\(170\) | 12.5095 | − | 14.3755i | 0.959435 | − | 1.10255i | ||||
\(171\) | 16.1068 | + | 0.0300731i | 1.23172 | + | 0.00229975i | ||||
\(172\) | 2.10801 | − | 4.40719i | 0.160735 | − | 0.336045i | ||||
\(173\) | −4.41136 | − | 3.20504i | −0.335389 | − | 0.243675i | 0.407325 | − | 0.913283i | \(-0.366462\pi\) |
−0.742714 | + | 0.669609i | \(0.766462\pi\) | |||||||
\(174\) | −11.3357 | − | 6.76675i | −0.859359 | − | 0.512986i | ||||
\(175\) | −7.97284 | + | 21.3278i | −0.602690 | + | 1.61223i | ||||
\(176\) | −0.231563 | − | 4.61056i | −0.0174547 | − | 0.347534i | ||||
\(177\) | 1.38174 | + | 1.38432i | 0.103858 | + | 0.104052i | ||||
\(178\) | −1.24854 | + | 18.8915i | −0.0935823 | + | 1.41598i | ||||
\(179\) | 5.20279 | + | 16.0125i | 0.388875 | + | 1.19683i | 0.933630 | + | 0.358238i | \(0.116622\pi\) |
−0.544756 | + | 0.838595i | \(0.683378\pi\) | |||||||
\(180\) | 11.9454 | − | 6.10805i | 0.890355 | − | 0.455267i | ||||
\(181\) | 1.93123 | − | 5.94372i | 0.143547 | − | 0.441793i | −0.853274 | − | 0.521463i | \(-0.825387\pi\) |
0.996821 | + | 0.0796697i | \(0.0253866\pi\) | |||||||
\(182\) | 19.1637 | + | 7.65764i | 1.42051 | + | 0.567622i | ||||
\(183\) | 2.68507 | − | 5.25761i | 0.198486 | − | 0.388654i | ||||
\(184\) | 5.56774 | + | 3.13004i | 0.410459 | + | 0.230750i | ||||
\(185\) | 0.156006 | − | 0.446771i | 0.0114698 | − | 0.0328473i | ||||
\(186\) | 0.0726068 | + | 0.169688i | 0.00532379 | + | 0.0124421i | ||||
\(187\) | 5.62648 | − | 4.08788i | 0.411449 | − | 0.298935i | ||||
\(188\) | 1.29018 | − | 9.71813i | 0.0940962 | − | 0.708768i | ||||
\(189\) | 10.6835 | + | 21.1135i | 0.777108 | + | 1.53578i | ||||
\(190\) | −12.8077 | − | 11.1452i | −0.929170 | − | 0.808561i | ||||
\(191\) | −8.77250 | + | 6.37359i | −0.634756 | + | 0.461177i | −0.858044 | − | 0.513575i | \(-0.828321\pi\) |
0.223289 | + | 0.974752i | \(0.428321\pi\) | |||||||
\(192\) | 5.24881 | + | 12.8238i | 0.378800 | + | 0.925479i | ||||
\(193\) | − | 24.3410i | − | 1.75210i | −0.482220 | − | 0.876050i | \(-0.660169\pi\) | ||
0.482220 | − | 0.876050i | \(-0.339831\pi\) | |||||||
\(194\) | −5.25064 | + | 6.30623i | −0.376974 | + | 0.452761i | ||||
\(195\) | 12.2107 | + | 2.21950i | 0.874426 | + | 0.158941i | ||||
\(196\) | 11.8553 | − | 24.7858i | 0.846810 | − | 1.77041i | ||||
\(197\) | 3.07930 | + | 9.47712i | 0.219391 | + | 0.675217i | 0.998813 | + | 0.0487168i | \(0.0155132\pi\) |
−0.779421 | + | 0.626500i | \(0.784487\pi\) | |||||||
\(198\) | 4.74864 | − | 1.19382i | 0.337471 | − | 0.0848409i | ||||
\(199\) | − | 7.03547i | − | 0.498731i | −0.968409 | − | 0.249366i | \(-0.919778\pi\) | ||
0.968409 | − | 0.249366i | \(-0.0802221\pi\) | |||||||
\(200\) | −13.7315 | − | 3.38310i | −0.970965 | − | 0.239221i | ||||
\(201\) | 1.84791 | + | 0.294450i | 0.130342 | + | 0.0207689i | ||||
\(202\) | −10.2246 | − | 16.2245i | −0.719398 | − | 1.14155i | ||||
\(203\) | −23.3423 | + | 7.58436i | −1.63831 | + | 0.532318i | ||||
\(204\) | −11.8586 | + | 17.1798i | −0.830266 | + | 1.20283i | ||||
\(205\) | −0.889560 | + | 2.54752i | −0.0621296 | + | 0.177927i | ||||
\(206\) | −14.9090 | − | 12.4134i | −1.03876 | − | 0.864886i | ||||
\(207\) | −2.10552 | + | 6.43920i | −0.146344 | + | 0.447555i | ||||
\(208\) | −3.34444 | + | 12.3738i | −0.231895 | + | 0.857967i | ||||
\(209\) | −3.64206 | − | 5.01287i | −0.251927 | − | 0.346747i | ||||
\(210\) | 6.06926 | − | 24.1928i | 0.418819 | − | 1.66946i | ||||
\(211\) | −13.1881 | + | 18.1518i | −0.907904 | + | 1.24962i | 0.0599737 | + | 0.998200i | \(0.480898\pi\) |
−0.967877 | + | 0.251422i | \(0.919102\pi\) | |||||||
\(212\) | −18.1769 | − | 2.41317i | −1.24839 | − | 0.165737i | ||||
\(213\) | 17.4039 | − | 8.84725i | 1.19249 | − | 0.606204i | ||||
\(214\) | 3.94599 | + | 6.26156i | 0.269742 | + | 0.428031i | ||||
\(215\) | −3.11346 | − | 4.48778i | −0.212336 | − | 0.306064i | ||||
\(216\) | −12.2561 | + | 8.11092i | −0.833925 | + | 0.551878i | ||||
\(217\) | 0.326339 | + | 0.106034i | 0.0221533 | + | 0.00719805i | ||||
\(218\) | −4.04526 | + | 10.1235i | −0.273979 | + | 0.685650i | ||||
\(219\) | 4.44118 | + | 2.26812i | 0.300107 | + | 0.153265i | ||||
\(220\) | −4.60643 | − | 2.32797i | −0.310565 | − | 0.156952i | ||||
\(221\) | −18.3653 | + | 5.96725i | −1.23538 | + | 0.401400i | ||||
\(222\) | −0.115155 | + | 0.505441i | −0.00772871 | + | 0.0339230i | ||||
\(223\) | −11.0121 | − | 8.00076i | −0.737425 | − | 0.535770i | 0.154479 | − | 0.987996i | \(-0.450630\pi\) |
−0.891904 | + | 0.452226i | \(0.850630\pi\) | |||||||
\(224\) | 24.3707 | + | 8.34680i | 1.62834 | + | 0.557694i | ||||
\(225\) | 0.681484 | − | 14.9845i | 0.0454323 | − | 0.998967i | ||||
\(226\) | 5.95800 | − | 14.9102i | 0.396320 | − | 0.991815i | ||||
\(227\) | −1.47408 | + | 2.02890i | −0.0978381 | + | 0.134663i | −0.855129 | − | 0.518415i | \(-0.826522\pi\) |
0.757291 | + | 0.653077i | \(0.226522\pi\) | |||||||
\(228\) | 15.3062 | + | 10.5653i | 1.01368 | + | 0.699704i | ||||
\(229\) | 1.06255 | + | 3.27019i | 0.0702153 | + | 0.216101i | 0.980006 | − | 0.198966i | \(-0.0637583\pi\) |
−0.909791 | + | 0.415066i | \(0.863758\pi\) | |||||||
\(230\) | 6.12307 | − | 3.67480i | 0.403743 | − | 0.242309i | ||||
\(231\) | 4.14021 | − | 8.10689i | 0.272406 | − | 0.533394i | ||||
\(232\) | −6.35949 | − | 13.8543i | −0.417521 | − | 0.909577i | ||||
\(233\) | −5.52382 | + | 17.0006i | −0.361878 | + | 1.11375i | 0.590036 | + | 0.807377i | \(0.299114\pi\) |
−0.951913 | + | 0.306368i | \(0.900886\pi\) | |||||||
\(234\) | −13.5640 | − | 0.921888i | −0.886708 | − | 0.0602657i | ||||
\(235\) | −8.72478 | − | 6.63412i | −0.569142 | − | 0.432762i | ||||
\(236\) | 0.409157 | + | 2.22111i | 0.0266339 | + | 0.144582i | ||||
\(237\) | −1.87068 | − | 3.67990i | −0.121513 | − | 0.239035i | ||||
\(238\) | 9.53248 | + | 37.6201i | 0.617899 | + | 2.43855i | ||||
\(239\) | 5.13868 | + | 3.73347i | 0.332394 | + | 0.241498i | 0.741446 | − | 0.671013i | \(-0.234141\pi\) |
−0.409052 | + | 0.912511i | \(0.634141\pi\) | |||||||
\(240\) | 15.3620 | + | 2.00247i | 0.991611 | + | 0.129259i | ||||
\(241\) | −4.48956 | + | 3.26186i | −0.289198 | + | 0.210115i | −0.722919 | − | 0.690932i | \(-0.757200\pi\) |
0.433721 | + | 0.901047i | \(0.357200\pi\) | |||||||
\(242\) | 10.5074 | + | 8.74859i | 0.675441 | + | 0.562381i | ||||
\(243\) | −10.9711 | − | 11.0740i | −0.703798 | − | 0.710400i | ||||
\(244\) | 5.99430 | − | 3.24620i | 0.383746 | − | 0.207816i | ||||
\(245\) | −17.5099 | − | 25.2390i | −1.11867 | − | 1.61246i | ||||
\(246\) | 0.656623 | − | 2.88206i | 0.0418648 | − | 0.183754i | ||||
\(247\) | 5.31647 | + | 16.3624i | 0.338279 | + | 1.04112i | ||||
\(248\) | −0.0419194 | + | 0.208959i | −0.00266188 | + | 0.0132689i | ||||
\(249\) | 4.63411 | − | 29.0829i | 0.293675 | − | 1.84305i | ||||
\(250\) | −10.8892 | + | 11.4641i | −0.688692 | + | 0.725054i | ||||
\(251\) | 21.4617 | 1.35465 | 0.677324 | − | 0.735685i | \(-0.263140\pi\) | ||||
0.677324 | + | 0.735685i | \(0.263140\pi\) | |||||||
\(252\) | −3.64644 | + | 27.0787i | −0.229704 | + | 1.70580i | ||||
\(253\) | 2.47865 | − | 0.805363i | 0.155832 | − | 0.0506328i | ||||
\(254\) | 0.597380 | + | 0.0394809i | 0.0374829 | + | 0.00247725i | ||||
\(255\) | 10.1205 | + | 21.0307i | 0.633769 | + | 1.31699i | ||||
\(256\) | −3.39471 | + | 15.6357i | −0.212170 | + | 0.977233i | ||||
\(257\) | −21.8868 | −1.36526 | −0.682630 | − | 0.730764i | \(-0.739164\pi\) | ||||
−0.682630 | + | 0.730764i | \(0.739164\pi\) | |||||||
\(258\) | 3.93845 | + | 4.50435i | 0.245197 | + | 0.280429i | ||||
\(259\) | 0.566475 | + | 0.779686i | 0.0351991 | + | 0.0484474i | ||||
\(260\) | 10.1667 | + | 10.0998i | 0.630515 | + | 0.626366i | ||||
\(261\) | 13.0986 | − | 9.47937i | 0.810782 | − | 0.586758i | ||||
\(262\) | 4.27695 | + | 16.8790i | 0.264231 | + | 1.04279i | ||||
\(263\) | −2.80186 | − | 3.85643i | −0.172770 | − | 0.237798i | 0.713847 | − | 0.700302i | \(-0.246951\pi\) |
−0.886617 | + | 0.462504i | \(0.846951\pi\) | |||||||
\(264\) | 5.29938 | + | 1.97051i | 0.326154 | + | 0.121277i | ||||
\(265\) | −12.4085 | + | 16.3189i | −0.762249 | + | 1.00246i | ||||
\(266\) | 33.5173 | − | 8.49289i | 2.05508 | − | 0.520733i | ||||
\(267\) | −20.6506 | − | 10.5463i | −1.26380 | − | 0.645423i | ||||
\(268\) | 1.56570 | + | 1.48904i | 0.0956404 | + | 0.0909575i | ||||
\(269\) | 2.73090 | + | 0.887322i | 0.166506 | + | 0.0541010i | 0.391084 | − | 0.920355i | \(-0.372100\pi\) |
−0.224578 | + | 0.974456i | \(0.572100\pi\) | |||||||
\(270\) | 1.09181 | + | 16.3954i | 0.0664454 | + | 0.997790i | ||||
\(271\) | −11.2222 | + | 3.64630i | −0.681698 | + | 0.221497i | −0.629339 | − | 0.777131i | \(-0.716674\pi\) |
−0.0523593 | + | 0.998628i | \(0.516674\pi\) | |||||||
\(272\) | −22.5223 | + | 8.58926i | −1.36561 | + | 0.520801i | ||||
\(273\) | −17.8889 | + | 17.8555i | −1.08268 | + | 1.08066i | ||||
\(274\) | −5.62011 | + | 14.0647i | −0.339523 | + | 0.849678i | ||||
\(275\) | −4.81174 | + | 3.18518i | −0.290159 | + | 0.192074i | ||||
\(276\) | −6.21582 | + | 4.74963i | −0.374148 | + | 0.285894i | ||||
\(277\) | −4.07391 | + | 5.60725i | −0.244777 | + | 0.336907i | −0.913674 | − | 0.406449i | \(-0.866767\pi\) |
0.668896 | + | 0.743356i | \(0.266767\pi\) | |||||||
\(278\) | −1.85154 | + | 28.0153i | −0.111048 | + | 1.68025i | ||||
\(279\) | −0.226050 | 0.000422059i | −0.0135332 | 2.52680e-5i | ||||||
\(280\) | 21.6014 | − | 19.0495i | 1.29093 | − | 1.13842i | ||||
\(281\) | −3.72072 | − | 1.20894i | −0.221960 | − | 0.0721191i | 0.195926 | − | 0.980619i | \(-0.437229\pi\) |
−0.417886 | + | 0.908500i | \(0.637229\pi\) | |||||||
\(282\) | 10.3095 | + | 6.15417i | 0.613923 | + | 0.366475i | ||||
\(283\) | 2.27731 | − | 7.00885i | 0.135372 | − | 0.416633i | −0.860275 | − | 0.509830i | \(-0.829708\pi\) |
0.995648 | + | 0.0931965i | \(0.0297085\pi\) | |||||||
\(284\) | 22.3477 | + | 2.96689i | 1.32609 | + | 0.176053i | ||||
\(285\) | 18.7371 | − | 9.01677i | 1.10989 | − | 0.534107i | ||||
\(286\) | 2.78844 | + | 4.42475i | 0.164884 | + | 0.261641i | ||||
\(287\) | −3.23009 | − | 4.44583i | −0.190666 | − | 0.262429i | ||||
\(288\) | −16.9679 | − | 0.300007i | −0.999844 | − | 0.0176781i | ||||
\(289\) | −15.6255 | − | 11.3526i | −0.919150 | − | 0.667801i | ||||
\(290\) | −16.9778 | − | 1.49423i | −0.996973 | − | 0.0877444i | ||||
\(291\) | −4.55434 | − | 8.95906i | −0.266980 | − | 0.525189i | ||||
\(292\) | 2.74211 | + | 5.06348i | 0.160470 | + | 0.296318i | ||||
\(293\) | 21.9252 | 1.28089 | 0.640443 | − | 0.768006i | \(-0.278751\pi\) | ||||
0.640443 | + | 0.768006i | \(0.278751\pi\) | |||||||
\(294\) | 22.1496 | + | 25.3322i | 1.29179 | + | 1.47740i | ||||
\(295\) | 2.38390 | + | 0.832425i | 0.138796 | + | 0.0484657i | ||||
\(296\) | −0.440220 | + | 0.405604i | −0.0255873 | + | 0.0235752i | ||||
\(297\) | −0.954697 | + | 5.92036i | −0.0553972 | + | 0.343534i | ||||
\(298\) | −16.1671 | − | 25.6542i | −0.936533 | − | 1.48611i | ||||
\(299\) | −7.23639 | −0.418491 | ||||||||
\(300\) | 10.4510 | − | 13.8122i | 0.603387 | − | 0.797448i | ||||
\(301\) | 11.1237 | 0.641158 | ||||||||
\(302\) | −13.6317 | − | 21.6311i | −0.784417 | − | 1.24473i | ||||
\(303\) | 23.2018 | − | 3.65260i | 1.33291 | − | 0.209837i | ||||
\(304\) | 7.65254 | + | 20.0660i | 0.438903 | + | 1.15087i | ||||
\(305\) | 0.166062 | − | 7.61966i | 0.00950867 | − | 0.436301i | ||||
\(306\) | −13.5906 | − | 21.6553i | −0.776922 | − | 1.23795i | ||||
\(307\) | 0.379994 | 0.0216874 | 0.0108437 | − | 0.999941i | \(-0.496548\pi\) | ||||
0.0108437 | + | 0.999941i | \(0.496548\pi\) | |||||||
\(308\) | 9.24282 | − | 5.00542i | 0.526659 | − | 0.285210i | ||||
\(309\) | 21.1808 | − | 10.7673i | 1.20493 | − | 0.612527i | ||||
\(310\) | 0.179749 | + | 0.156417i | 0.0102091 | + | 0.00888391i | ||||
\(311\) | 3.10823 | + | 2.25826i | 0.176252 | + | 0.128054i | 0.672413 | − | 0.740176i | \(-0.265258\pi\) |
−0.496162 | + | 0.868230i | \(0.665258\pi\) | |||||||
\(312\) | −12.3033 | − | 9.75047i | −0.696539 | − | 0.552012i | ||||
\(313\) | 8.45901 | + | 11.6428i | 0.478131 | + | 0.658091i | 0.978144 | − | 0.207927i | \(-0.0666715\pi\) |
−0.500013 | + | 0.866018i | \(0.666671\pi\) | |||||||
\(314\) | −11.5376 | − | 18.3081i | −0.651107 | − | 1.03319i | ||||
\(315\) | 24.2823 | + | 18.5354i | 1.36815 | + | 1.04435i | ||||
\(316\) | 0.627324 | − | 4.72524i | 0.0352897 | − | 0.265815i | ||||
\(317\) | 8.41477 | − | 25.8980i | 0.472620 | − | 1.45458i | −0.376520 | − | 0.926408i | \(-0.622879\pi\) |
0.849140 | − | 0.528167i | \(-0.177121\pi\) | |||||||
\(318\) | 11.5108 | − | 19.2830i | 0.645494 | − | 1.08134i | ||||
\(319\) | −5.91568 | − | 1.92212i | −0.331215 | − | 0.107618i | ||||
\(320\) | 13.3072 | + | 11.9548i | 0.743896 | + | 0.668295i | ||||
\(321\) | −8.95431 | + | 1.40966i | −0.499781 | + | 0.0786793i | ||||
\(322\) | −0.959077 | + | 14.5116i | −0.0534472 | + | 0.808702i | ||||
\(323\) | −19.0171 | + | 26.1748i | −1.05814 | + | 1.45641i | ||||
\(324\) | −3.19484 | − | 17.7142i | −0.177491 | − | 0.984122i | ||||
\(325\) | 15.4393 | − | 4.28257i | 0.856418 | − | 0.237554i | ||||
\(326\) | −6.09938 | + | 15.2641i | −0.337814 | + | 0.845399i | ||||
\(327\) | −9.43242 | − | 9.45005i | −0.521614 | − | 0.522589i | ||||
\(328\) | 2.51017 | − | 2.31278i | 0.138601 | − | 0.127702i | ||||
\(329\) | 21.2291 | − | 6.89776i | 1.17040 | − | 0.380286i | ||||
\(330\) | 4.84823 | − | 4.05617i | 0.266887 | − | 0.223285i | ||||
\(331\) | −2.64321 | − | 0.858831i | −0.145284 | − | 0.0472056i | 0.235472 | − | 0.971881i | \(-0.424336\pi\) |
−0.380756 | + | 0.924675i | \(0.624336\pi\) | |||||||
\(332\) | 23.4348 | − | 24.6413i | 1.28615 | − | 1.35237i | ||||
\(333\) | −0.512946 | − | 0.374143i | −0.0281093 | − | 0.0205029i | ||||
\(334\) | 10.2658 | − | 2.60125i | 0.561722 | − | 0.142334i | ||||
\(335\) | 2.31323 | − | 0.696269i | 0.126385 | − | 0.0380412i | ||||
\(336\) | −21.1839 | + | 23.3804i | −1.15568 | + | 1.27551i | ||||
\(337\) | 10.7862 | + | 14.8459i | 0.587562 | + | 0.808710i | 0.994499 | − | 0.104746i | \(-0.0334031\pi\) |
−0.406937 | + | 0.913456i | \(0.633403\pi\) | |||||||
\(338\) | 0.948840 | + | 3.74461i | 0.0516101 | + | 0.203680i | ||||
\(339\) | 13.8924 | + | 13.9184i | 0.754532 | + | 0.755942i | ||||
\(340\) | −4.12797 | + | 26.6316i | −0.223871 | + | 1.44430i | ||||
\(341\) | 0.0511143 | + | 0.0703529i | 0.00276800 | + | 0.00380982i | ||||
\(342\) | −19.2936 | + | 12.1084i | −1.04328 | + | 0.654748i | ||||
\(343\) | 30.6819 | 1.65667 | ||||||||
\(344\) | 0.800858 | + | 6.86241i | 0.0431793 | + | 0.369996i | ||||
\(345\) | 1.17156 | + | 8.66728i | 0.0630744 | + | 0.466630i | ||||
\(346\) | 7.69455 | + | 0.508534i | 0.413662 | + | 0.0273390i | ||||
\(347\) | −2.10309 | + | 0.683336i | −0.112900 | + | 0.0366834i | −0.364922 | − | 0.931038i | \(-0.618904\pi\) |
0.252022 | + | 0.967721i | \(0.418904\pi\) | |||||||
\(348\) | 18.6647 | − | 0.450983i | 1.00053 | − | 0.0241752i | ||||
\(349\) | −26.3481 | −1.41038 | −0.705192 | − | 0.709016i | \(-0.749139\pi\) | ||||
−0.705192 | + | 0.709016i | \(0.749139\pi\) | |||||||
\(350\) | −6.54188 | − | 31.5291i | −0.349678 | − | 1.68530i | ||||
\(351\) | 7.60082 | − | 14.8147i | 0.405702 | − | 0.790752i | ||||
\(352\) | 3.75339 | + | 5.34171i | 0.200056 | + | 0.284714i | ||||
\(353\) | −3.56495 | − | 10.9718i | −0.189743 | − | 0.583969i | 0.810255 | − | 0.586078i | \(-0.199329\pi\) |
−0.999998 | + | 0.00210880i | \(0.999329\pi\) | |||||||
\(354\) | −2.69695 | − | 0.614449i | −0.143341 | − | 0.0326576i | ||||
\(355\) | 15.2558 | − | 20.0634i | 0.809692 | − | 1.06486i | ||||
\(356\) | −12.7503 | − | 23.5442i | −0.675762 | − | 1.24784i | ||||
\(357\) | −46.9390 | − | 7.47933i | −2.48427 | − | 0.395848i | ||||
\(358\) | −18.2982 | − | 15.2353i | −0.967091 | − | 0.805213i | ||||
\(359\) | −11.9179 | + | 8.65889i | −0.629005 | + | 0.456999i | −0.856055 | − | 0.516884i | \(-0.827092\pi\) |
0.227050 | + | 0.973883i | \(0.427092\pi\) | |||||||
\(360\) | −9.68660 | + | 16.3147i | −0.510529 | + | 0.859861i | ||||
\(361\) | 7.94895 | + | 5.77525i | 0.418366 | + | 0.303960i | ||||
\(362\) | 2.17090 | + | 8.56750i | 0.114100 | + | 0.450298i | ||||
\(363\) | −14.9275 | + | 7.58841i | −0.783492 | + | 0.398288i | ||||
\(364\) | −28.7022 | + | 5.28733i | −1.50441 | + | 0.277131i | ||||
\(365\) | 6.43644 | + | 0.140275i | 0.336899 | + | 0.00734232i | ||||
\(366\) | 0.751650 | + | 8.31500i | 0.0392894 | + | 0.434632i | ||||
\(367\) | −6.42746 | + | 19.7817i | −0.335511 | + | 1.03260i | 0.630959 | + | 0.775816i | \(0.282662\pi\) |
−0.966470 | + | 0.256780i | \(0.917338\pi\) | |||||||
\(368\) | −9.02156 | + | 0.453103i | −0.470281 | + | 0.0236197i | ||||
\(369\) | 2.92486 | + | 2.13339i | 0.152262 | + | 0.111060i | ||||
\(370\) | 0.150209 | + | 0.652168i | 0.00780899 | + | 0.0339046i | ||||
\(371\) | −12.9016 | − | 39.7071i | −0.669819 | − | 2.06149i | ||||
\(372\) | −0.214814 | − | 0.148278i | −0.0111376 | − | 0.00768786i | ||||
\(373\) | 11.2017 | − | 15.4178i | 0.580001 | − | 0.798302i | −0.413695 | − | 0.910416i | \(-0.635762\pi\) |
0.993695 | + | 0.112113i | \(0.0357620\pi\) | |||||||
\(374\) | −3.64957 | + | 9.13327i | −0.188715 | + | 0.472270i | ||||
\(375\) | −7.62897 | − | 17.7988i | −0.393958 | − | 0.919128i | ||||
\(376\) | 5.78377 | + | 12.6001i | 0.298275 | + | 0.649798i | ||||
\(377\) | 13.9723 | + | 10.1515i | 0.719611 | + | 0.522828i | ||||
\(378\) | −28.7016 | − | 17.2059i | −1.47625 | − | 0.884978i | ||||
\(379\) | 9.05537 | − | 2.94227i | 0.465143 | − | 0.151134i | −0.0670635 | − | 0.997749i | \(-0.521363\pi\) |
0.532207 | + | 0.846615i | \(0.321363\pi\) | |||||||
\(380\) | 23.7273 | + | 3.67779i | 1.21718 | + | 0.188666i | ||||
\(381\) | −0.333491 | + | 0.653005i | −0.0170853 | + | 0.0334545i | ||||
\(382\) | 5.69021 | − | 14.2401i | 0.291136 | − | 0.728587i | ||||
\(383\) | −12.0107 | − | 3.90253i | −0.613720 | − | 0.199410i | −0.0143700 | − | 0.999897i | \(-0.504574\pi\) |
−0.599350 | + | 0.800487i | \(0.704574\pi\) | |||||||
\(384\) | −15.9490 | − | 11.3855i | −0.813894 | − | 0.581013i | ||||
\(385\) | 0.256056 | − | 11.7490i | 0.0130498 | − | 0.598785i | ||||
\(386\) | 18.3529 | + | 29.1228i | 0.934140 | + | 1.48231i | ||||
\(387\) | −6.97364 | + | 2.25149i | −0.354490 | + | 0.114449i | ||||
\(388\) | 1.52728 | − | 11.5040i | 0.0775359 | − | 0.584029i | ||||
\(389\) | 7.55300 | − | 10.3958i | 0.382952 | − | 0.527088i | −0.573411 | − | 0.819268i | \(-0.694380\pi\) |
0.956364 | + | 0.292179i | \(0.0943803\pi\) | |||||||
\(390\) | −16.2830 | + | 6.55127i | −0.824521 | + | 0.331736i | ||||
\(391\) | −7.99882 | − | 11.0094i | −0.404518 | − | 0.556771i | ||||
\(392\) | 4.50398 | + | 38.5938i | 0.227485 | + | 1.94928i | ||||
\(393\) | −21.0602 | − | 3.35576i | −1.06234 | − | 0.169276i | ||||
\(394\) | −10.8299 | − | 9.01713i | −0.545604 | − | 0.454276i | ||||
\(395\) | −4.24224 | − | 3.22570i | −0.213450 | − | 0.162303i | ||||
\(396\) | −4.78138 | + | 5.00879i | −0.240273 | + | 0.251701i | ||||
\(397\) | 9.30295 | − | 3.02271i | 0.466902 | − | 0.151706i | −0.0661120 | − | 0.997812i | \(-0.521059\pi\) |
0.533014 | + | 0.846107i | \(0.321059\pi\) | |||||||
\(398\) | 5.30470 | + | 8.41760i | 0.265901 | + | 0.421936i | ||||
\(399\) | −6.66365 | + | 41.8199i | −0.333600 | + | 2.09361i | ||||
\(400\) | 18.9799 | − | 6.30577i | 0.948996 | − | 0.315289i | ||||
\(401\) | − | 10.9289i | − | 0.545764i | −0.962047 | − | 0.272882i | \(-0.912023\pi\) | ||
0.962047 | − | 0.272882i | \(-0.0879769\pi\) | |||||||
\(402\) | −2.43295 | + | 1.04102i | −0.121345 | + | 0.0519214i | ||||
\(403\) | −0.0746137 | − | 0.229637i | −0.00371678 | − | 0.0114391i | ||||
\(404\) | 24.4664 | + | 11.7026i | 1.21725 | + | 0.582225i | ||||
\(405\) | −18.9747 | − | 6.70530i | −0.942860 | − | 0.333189i | ||||
\(406\) | 22.2093 | − | 26.6742i | 1.10223 | − | 1.32382i | ||||
\(407\) | 0.244244i | 0.0121067i | ||||||||
\(408\) | 1.23474 | − | 29.4961i | 0.0611285 | − | 1.46027i | ||||
\(409\) | −15.6144 | + | 11.3445i | −0.772084 | + | 0.560952i | −0.902593 | − | 0.430495i | \(-0.858339\pi\) |
0.130509 | + | 0.991447i | \(0.458339\pi\) | |||||||
\(410\) | −0.856502 | − | 3.71871i | −0.0422996 | − | 0.183654i | ||||
\(411\) | −13.1046 | − | 13.1290i | −0.646400 | − | 0.647608i | ||||
\(412\) | 27.1976 | + | 3.61076i | 1.33993 | + | 0.177889i | ||||
\(413\) | −4.16028 | + | 3.02262i | −0.204714 | + | 0.148734i | ||||
\(414\) | −2.33596 | − | 9.29174i | −0.114806 | − | 0.456664i | ||||
\(415\) | −10.9580 | − | 36.4061i | −0.537909 | − | 1.78710i | ||||
\(416\) | −5.32829 | − | 17.3263i | −0.261241 | − | 0.849492i | ||||
\(417\) | −30.6240 | − | 15.6397i | −1.49966 | − | 0.765881i | ||||
\(418\) | 8.13722 | + | 3.25156i | 0.398004 | + | 0.159039i | ||||
\(419\) | −1.63280 | + | 5.02524i | −0.0797675 | + | 0.245499i | −0.982986 | − | 0.183683i | \(-0.941198\pi\) |
0.903218 | + | 0.429182i | \(0.141198\pi\) | |||||||
\(420\) | 10.9796 | + | 33.5217i | 0.535752 | + | 1.63569i | ||||
\(421\) | −4.09724 | − | 12.6100i | −0.199687 | − | 0.614574i | −0.999890 | − | 0.0148440i | \(-0.995275\pi\) |
0.800203 | − | 0.599730i | \(-0.204725\pi\) | |||||||
\(422\) | 2.09251 | − | 31.6615i | 0.101862 | − | 1.54126i | ||||
\(423\) | −11.9128 | + | 8.62122i | −0.579220 | + | 0.419178i | ||||
\(424\) | 23.5673 | − | 10.8180i | 1.14453 | − | 0.525369i | ||||
\(425\) | 23.5815 | + | 18.7555i | 1.14387 | + | 0.909777i | ||||
\(426\) | −14.1521 | + | 23.7077i | −0.685670 | + | 1.14864i | ||||
\(427\) | 12.5571 | + | 9.12329i | 0.607682 | + | 0.441507i | ||||
\(428\) | −9.44235 | − | 4.51640i | −0.456413 | − | 0.218308i | ||||
\(429\) | −6.32759 | + | 0.996138i | −0.305499 | + | 0.0480940i | ||||
\(430\) | 7.10885 | + | 3.02188i | 0.342819 | + | 0.145728i | ||||
\(431\) | −11.2029 | + | 34.4788i | −0.539622 | + | 1.66079i | 0.193821 | + | 0.981037i | \(0.437912\pi\) |
−0.733444 | + | 0.679750i | \(0.762088\pi\) | |||||||
\(432\) | 8.54828 | − | 18.9454i | 0.411279 | − | 0.911509i | ||||
\(433\) | 22.6507 | + | 7.35966i | 1.08852 | + | 0.353683i | 0.797676 | − | 0.603087i | \(-0.206063\pi\) |
0.290848 | + | 0.956769i | \(0.406063\pi\) | |||||||
\(434\) | −0.470397 | + | 0.119193i | −0.0225798 | + | 0.00572145i | ||||
\(435\) | 9.89670 | − | 18.3786i | 0.474510 | − | 0.881188i | ||||
\(436\) | −2.79311 | − | 15.1624i | −0.133765 | − | 0.726145i | ||||
\(437\) | −9.80876 | + | 7.12648i | −0.469217 | + | 0.340906i | ||||
\(438\) | −7.02380 | + | 0.634930i | −0.335610 | + | 0.0303381i | ||||
\(439\) | −8.78444 | + | 12.0907i | −0.419258 | + | 0.577060i | −0.965446 | − | 0.260603i | \(-0.916079\pi\) |
0.546188 | + | 0.837663i | \(0.316079\pi\) | |||||||
\(440\) | 7.26664 | − | 0.687914i | 0.346423 | − | 0.0327950i | ||||
\(441\) | −39.2193 | + | 12.6622i | −1.86759 | + | 0.602963i | ||||
\(442\) | 17.4739 | − | 20.9868i | 0.831149 | − | 0.998242i | ||||
\(443\) | 6.20871i | 0.294985i | 0.989063 | + | 0.147492i | \(0.0471202\pi\) | ||||
−0.989063 | + | 0.147492i | \(0.952880\pi\) | |||||||
\(444\) | −0.243322 | − | 0.691561i | −0.0115475 | − | 0.0328200i | ||||
\(445\) | −29.9282 | − | 0.652250i | −1.41873 | − | 0.0309196i | ||||
\(446\) | 19.2080 | + | 1.26946i | 0.909523 | + | 0.0601106i | ||||
\(447\) | 36.6867 | − | 5.77549i | 1.73522 | − | 0.273171i | ||||
\(448\) | −35.4518 | + | 8.38885i | −1.67494 | + | 0.396336i | ||||
\(449\) | 27.6553i | 1.30514i | 0.757730 | + | 0.652568i | \(0.226308\pi\) | ||||
−0.757730 | + | 0.652568i | \(0.773692\pi\) | |||||||
\(450\) | 10.4829 | + | 18.4421i | 0.494167 | + | 0.869367i | ||||
\(451\) | − | 1.39270i | − | 0.0655796i | ||||||
\(452\) | 4.11379 | + | 22.3317i | 0.193496 | + | 1.05039i | ||||
\(453\) | 30.9334 | − | 4.86977i | 1.45338 | − | 0.228802i | ||||
\(454\) | 0.233888 | − | 3.53892i | 0.0109769 | − | 0.166090i | ||||
\(455\) | −10.7570 | + | 30.8059i | −0.504296 | + | 1.44420i | ||||
\(456\) | −26.2793 | − | 1.10008i | −1.23064 | − | 0.0515159i | ||||
\(457\) | − | 28.3366i | − | 1.32553i | −0.748827 | − | 0.662765i | \(-0.769383\pi\) | ||
0.748827 | − | 0.662765i | \(-0.230617\pi\) | |||||||
\(458\) | −3.73700 | − | 3.11147i | −0.174618 | − | 0.145389i | ||||
\(459\) | 30.9408 | − | 4.81175i | 1.44419 | − | 0.224593i | ||||
\(460\) | −4.55518 | + | 9.01347i | −0.212386 | + | 0.420255i | ||||
\(461\) | 0.601146 | − | 0.827406i | 0.0279981 | − | 0.0385361i | −0.794788 | − | 0.606887i | \(-0.792418\pi\) |
0.822787 | + | 0.568350i | \(0.192418\pi\) | |||||||
\(462\) | 1.15899 | + | 12.8212i | 0.0539213 | + | 0.596495i | ||||
\(463\) | −9.44774 | + | 6.86418i | −0.439074 | + | 0.319006i | −0.785267 | − | 0.619158i | \(-0.787474\pi\) |
0.346193 | + | 0.938163i | \(0.387474\pi\) | |||||||
\(464\) | 18.0548 | + | 11.7809i | 0.838175 | + | 0.546916i | ||||
\(465\) | −0.262965 | + | 0.126545i | −0.0121947 | + | 0.00586840i | ||||
\(466\) | −6.20935 | − | 24.5053i | −0.287643 | − | 1.13519i | ||||
\(467\) | −19.0994 | − | 6.20577i | −0.883814 | − | 0.287169i | −0.168274 | − | 0.985740i | \(-0.553819\pi\) |
−0.715540 | + | 0.698572i | \(0.753819\pi\) | |||||||
\(468\) | 16.9238 | − | 9.12420i | 0.782302 | − | 0.421766i | ||||
\(469\) | −1.52029 | + | 4.67898i | −0.0702006 | + | 0.216055i | ||||
\(470\) | 15.4409 | + | 1.35896i | 0.712234 | + | 0.0626843i | ||||
\(471\) | 26.1815 | − | 4.12169i | 1.20638 | − | 0.189917i | ||||
\(472\) | −2.16424 | − | 2.34894i | −0.0996171 | − | 0.108119i | ||||
\(473\) | 2.28070 | + | 1.65702i | 0.104867 | + | 0.0761900i | ||||
\(474\) | 5.01279 | + | 2.99234i | 0.230245 | + | 0.137443i | ||||
\(475\) | 16.7101 | − | 21.0097i | 0.766712 | − | 0.963993i | ||||
\(476\) | −39.7704 | − | 37.8231i | −1.82288 | − | 1.73362i | ||||
\(477\) | 16.1252 | + | 22.2818i | 0.738322 | + | 1.02021i | ||||
\(478\) | −8.96319 | − | 0.592379i | −0.409967 | − | 0.0270948i | ||||
\(479\) | −2.49441 | − | 7.67699i | −0.113972 | − | 0.350771i | 0.877759 | − | 0.479102i | \(-0.159038\pi\) |
−0.991731 | + | 0.128332i | \(0.959038\pi\) | |||||||
\(480\) | −19.8897 | + | 9.18698i | −0.907836 | + | 0.419326i | ||||
\(481\) | 0.209565 | − | 0.644975i | 0.00955534 | − | 0.0294083i | ||||
\(482\) | 2.91212 | − | 7.28775i | 0.132643 | − | 0.331948i | ||||
\(483\) | −15.8629 | − | 8.10121i | −0.721786 | − | 0.368618i | ||||
\(484\) | −19.1680 | − | 2.54474i | −0.871271 | − | 0.115670i | ||||
\(485\) | −10.3281 | − | 7.85327i | −0.468977 | − | 0.356599i | ||||
\(486\) | 21.4762 | + | 4.97737i | 0.974179 | + | 0.225778i | ||||
\(487\) | 10.3843 | − | 7.54461i | 0.470556 | − | 0.341879i | −0.327102 | − | 0.944989i | \(-0.606072\pi\) |
0.797658 | + | 0.603110i | \(0.206072\pi\) | |||||||
\(488\) | −4.72427 | + | 8.40358i | −0.213858 | + | 0.380412i | ||||
\(489\) | −14.2221 | − | 14.2487i | −0.643145 | − | 0.644347i | ||||
\(490\) | 39.9798 | + | 16.9949i | 1.80610 | + | 0.767750i | ||||
\(491\) | −11.4129 | + | 8.29194i | −0.515056 | + | 0.374210i | −0.814738 | − | 0.579829i | \(-0.803119\pi\) |
0.299682 | + | 0.954039i | \(0.403119\pi\) | |||||||
\(492\) | 1.38744 | + | 3.94333i | 0.0625506 | + | 0.177779i | ||||
\(493\) | 32.4785i | 1.46276i | ||||||||
\(494\) | −18.6981 | − | 15.5682i | −0.841265 | − | 0.700448i | ||||
\(495\) | 2.21753 | + | 7.41751i | 0.0996707 | + | 0.333392i | ||||
\(496\) | −0.107399 | − | 0.281616i | −0.00482236 | − | 0.0126449i | ||||
\(497\) | 15.8620 | + | 48.8183i | 0.711510 | + | 2.18980i | ||||
\(498\) | 16.3838 | + | 38.2903i | 0.734177 | + | 1.71583i | ||||
\(499\) | − | 25.9844i | − | 1.16322i | −0.813467 | − | 0.581612i | \(-0.802422\pi\) | ||
0.813467 | − | 0.581612i | \(-0.197578\pi\) | |||||||
\(500\) | 4.38450 | − | 21.9266i | 0.196081 | − | 0.980588i | ||||
\(501\) | −2.04098 | + | 12.8088i | −0.0911841 | + | 0.572255i | ||||
\(502\) | −25.6778 | + | 16.1820i | −1.14606 | + | 0.722236i | ||||
\(503\) | 21.4768 | − | 6.97823i | 0.957603 | − | 0.311144i | 0.211802 | − | 0.977313i | \(-0.432067\pi\) |
0.745801 | + | 0.666169i | \(0.232067\pi\) | |||||||
\(504\) | −16.0544 | − | 35.1477i | −0.715119 | − | 1.56560i | ||||
\(505\) | 24.9138 | − | 17.2843i | 1.10865 | − | 0.769139i | ||||
\(506\) | −2.35835 | + | 2.83247i | −0.104841 | + | 0.125918i | ||||
\(507\) | −4.67219 | − | 0.744474i | −0.207499 | − | 0.0330632i | ||||
\(508\) | −0.744503 | + | 0.403183i | −0.0330320 | + | 0.0178884i | ||||
\(509\) | 2.31919 | + | 3.19210i | 0.102796 | + | 0.141487i | 0.857316 | − | 0.514790i | \(-0.172130\pi\) |
−0.754520 | + | 0.656277i | \(0.772130\pi\) | |||||||
\(510\) | −27.9657 | − | 17.5314i | −1.23834 | − | 0.776303i | ||||
\(511\) | −7.70658 | + | 10.6072i | −0.340919 | + | 0.469235i | ||||
\(512\) | −7.72763 | − | 21.2670i | −0.341516 | − | 0.939876i | ||||
\(513\) | −4.28699 | − | 27.5664i | −0.189275 | − | 1.21709i | ||||
\(514\) | 26.1864 | − | 16.5025i | 1.15503 | − | 0.727894i | ||||
\(515\) | 18.5665 | − | 24.4175i | 0.818139 | − | 1.07597i | ||||
\(516\) | −8.10841 | − | 2.41967i | −0.356953 | − | 0.106520i | ||||
\(517\) | 5.38014 | + | 1.74811i | 0.236618 | + | 0.0768820i | ||||
\(518\) | −1.26564 | − | 0.505737i | −0.0556090 | − | 0.0222208i | ||||
\(519\) | −4.29553 | + | 8.41103i | −0.188553 | + | 0.369203i | ||||
\(520\) | −19.7792 | − | 4.41831i | −0.867376 | − | 0.193756i | ||||
\(521\) | −33.9549 | + | 11.0326i | −1.48759 | + | 0.483347i | −0.936371 | − | 0.351013i | \(-0.885837\pi\) |
−0.551220 | + | 0.834360i | \(0.685837\pi\) | |||||||
\(522\) | −8.52443 | + | 21.2178i | −0.373104 | + | 0.928680i | ||||
\(523\) | 10.4118 | + | 7.56462i | 0.455276 | + | 0.330778i | 0.791675 | − | 0.610942i | \(-0.209209\pi\) |
−0.336399 | + | 0.941720i | \(0.609209\pi\) | |||||||
\(524\) | −17.8439 | − | 16.9701i | −0.779512 | − | 0.741344i | ||||
\(525\) | 38.6389 | + | 7.89662i | 1.68634 | + | 0.344637i | ||||
\(526\) | 6.26001 | + | 2.50144i | 0.272949 | + | 0.109068i | ||||
\(527\) | 0.266895 | − | 0.367350i | 0.0116261 | − | 0.0160020i | ||||
\(528\) | −7.82620 | + | 1.63808i | −0.340591 | + | 0.0712882i | ||||
\(529\) | 5.53152 | + | 17.0243i | 0.240501 | + | 0.740186i | ||||
\(530\) | 2.54182 | − | 28.8807i | 0.110409 | − | 1.25450i | ||||
\(531\) | 1.99637 | − | 2.73700i | 0.0866349 | − | 0.118776i | ||||
\(532\) | −33.6982 | + | 35.4332i | −1.46100 | + | 1.53622i | ||||
\(533\) | −1.19496 | + | 3.67770i | −0.0517593 | + | 0.159299i | ||||
\(534\) | 32.6593 | − | 2.95230i | 1.41331 | − | 0.127758i | ||||
\(535\) | −9.61502 | + | 6.67055i | −0.415694 | + | 0.288393i | ||||
\(536\) | −2.99601 | − | 0.601031i | −0.129408 | − | 0.0259606i | ||||
\(537\) | 25.9957 | − | 13.2149i | 1.12180 | − | 0.570266i | ||||
\(538\) | −3.93642 | + | 0.997441i | −0.169711 | + | 0.0430028i | ||||
\(539\) | 12.8265 | + | 9.31900i | 0.552477 | + | 0.401398i | ||||
\(540\) | −13.6683 | − | 18.7930i | −0.588190 | − | 0.808723i | ||||
\(541\) | −33.1119 | + | 24.0572i | −1.42359 | + | 1.03430i | −0.432426 | + | 0.901669i | \(0.642342\pi\) |
−0.991166 | + | 0.132630i | \(0.957658\pi\) | |||||||
\(542\) | 10.6775 | − | 12.8241i | 0.458637 | − | 0.550841i | ||||
\(543\) | −10.6898 | − | 1.70332i | −0.458742 | − | 0.0730966i | ||||
\(544\) | 20.4705 | − | 27.2583i | 0.877666 | − | 1.16869i | ||||
\(545\) | −16.2737 | − | 5.68254i | −0.697087 | − | 0.243413i | ||||
\(546\) | 7.94021 | − | 34.8513i | 0.339810 | − | 1.49150i | ||||
\(547\) | 8.18767 | + | 25.1990i | 0.350079 | + | 1.07743i | 0.958808 | + | 0.284055i | \(0.0916798\pi\) |
−0.608729 | + | 0.793379i | \(0.708320\pi\) | |||||||
\(548\) | −3.88049 | − | 21.0652i | −0.165766 | − | 0.899861i | ||||
\(549\) | −9.71890 | − | 3.17794i | −0.414792 | − | 0.135631i | ||||
\(550\) | 3.35540 | − | 7.43894i | 0.143075 | − | 0.317197i | ||||
\(551\) | 28.9365 | 1.23274 | ||||||||
\(552\) | 3.85573 | − | 10.3694i | 0.164111 | − | 0.441350i | ||||
\(553\) | 10.3222 | − | 3.35389i | 0.438945 | − | 0.142622i | ||||
\(554\) | 0.646395 | − | 9.78049i | 0.0274627 | − | 0.415533i | ||||
\(555\) | −0.806437 | − | 0.146583i | −0.0342314 | − | 0.00622212i | ||||
\(556\) | −18.9081 | − | 34.9150i | −0.801882 | − | 1.48073i | ||||
\(557\) | −15.4657 | −0.655302 | −0.327651 | − | 0.944799i | \(-0.606257\pi\) | ||||
−0.327651 | + | 0.944799i | \(0.606257\pi\) | |||||||
\(558\) | 0.270775 | − | 0.169935i | 0.0114628 | − | 0.00719392i | ||||
\(559\) | −4.60088 | − | 6.33257i | −0.194596 | − | 0.267839i | ||||
\(560\) | −11.4818 | + | 39.0791i | −0.485194 | + | 1.65139i | ||||
\(561\) | −8.50979 | − | 8.52570i | −0.359284 | − | 0.359955i | ||||
\(562\) | 5.36319 | − | 1.35897i | 0.226232 | − | 0.0573247i | ||||
\(563\) | 16.4502 | + | 22.6417i | 0.693292 | + | 0.954234i | 0.999997 | + | 0.00242961i | \(0.000773371\pi\) |
−0.306705 | + | 0.951805i | \(0.599227\pi\) | |||||||
\(564\) | −16.9750 | + | 0.410156i | −0.714778 | + | 0.0172707i | ||||
\(565\) | 23.9684 | + | 8.36944i | 1.00836 | + | 0.352105i | ||||
\(566\) | 2.55994 | + | 10.1028i | 0.107602 | + | 0.424653i | ||||
\(567\) | 33.2470 | − | 23.9662i | 1.39624 | − | 1.00649i | ||||
\(568\) | −28.9750 | + | 13.3003i | −1.21576 | + | 0.558069i | ||||
\(569\) | −22.6458 | − | 7.35808i | −0.949363 | − | 0.308467i | −0.206906 | − | 0.978361i | \(-0.566340\pi\) |
−0.742457 | + | 0.669894i | \(0.766340\pi\) | |||||||
\(570\) | −15.6194 | + | 24.9158i | −0.654227 | + | 1.04361i | ||||
\(571\) | 29.0824 | − | 9.44945i | 1.21706 | − | 0.395447i | 0.371050 | − | 0.928613i | \(-0.378998\pi\) |
0.846011 | + | 0.533166i | \(0.178998\pi\) | |||||||
\(572\) | −6.67246 | − | 3.19152i | −0.278990 | − | 0.133444i | ||||
\(573\) | 13.2680 | + | 13.2928i | 0.554279 | + | 0.555314i | ||||
\(574\) | 7.21677 | + | 2.88375i | 0.301222 | + | 0.120366i | ||||
\(575\) | 6.23250 | + | 9.41521i | 0.259913 | + | 0.392642i | ||||
\(576\) | 20.5275 | − | 12.4348i | 0.855311 | − | 0.518115i | ||||
\(577\) | 25.2046 | − | 34.6912i | 1.04928 | − | 1.44421i | 0.159852 | − | 0.987141i | \(-0.448898\pi\) |
0.889430 | − | 0.457072i | \(-0.151102\pi\) | |||||||
\(578\) | 27.2550 | + | 1.80129i | 1.13366 | + | 0.0749237i | ||||
\(579\) | −41.6469 | + | 6.55637i | −1.73078 | + | 0.272473i | ||||
\(580\) | 21.4398 | − | 11.0134i | 0.890238 | − | 0.457307i | ||||
\(581\) | 73.6388 | + | 23.9267i | 3.05505 | + | 0.992646i | ||||
\(582\) | 12.2041 | + | 7.28512i | 0.505877 | + | 0.301978i | ||||
\(583\) | 3.26969 | − | 10.0631i | 0.135417 | − | 0.416770i | ||||
\(584\) | −7.09863 | − | 3.99067i | −0.293743 | − | 0.165135i | ||||
\(585\) | 0.508496 | − | 21.4901i | 0.0210237 | − | 0.888505i | ||||
\(586\) | −26.2325 | + | 16.5315i | −1.08365 | + | 0.682910i | ||||
\(587\) | −9.39272 | − | 12.9280i | −0.387679 | − | 0.533594i | 0.569920 | − | 0.821701i | \(-0.306974\pi\) |
−0.957598 | + | 0.288106i | \(0.906974\pi\) | |||||||
\(588\) | −45.6012 | − | 13.6081i | −1.88056 | − | 0.561187i | ||||
\(589\) | −0.327287 | − | 0.237788i | −0.0134856 | − | 0.00979789i | ||||
\(590\) | −3.47986 | + | 0.801491i | −0.143264 | + | 0.0329968i | ||||
\(591\) | 15.3857 | − | 7.82133i | 0.632884 | − | 0.321727i | ||||
\(592\) | 0.220879 | − | 0.817208i | 0.00907806 | − | 0.0335870i | ||||
\(593\) | −1.86554 | −0.0766087 | −0.0383043 | − | 0.999266i | \(-0.512196\pi\) | ||||
−0.0383043 | + | 0.999266i | \(0.512196\pi\) | |||||||
\(594\) | −3.32167 | − | 7.80325i | −0.136290 | − | 0.320171i | ||||
\(595\) | −58.7584 | + | 17.6860i | −2.40886 | + | 0.725054i | ||||
\(596\) | 38.6862 | + | 18.5041i | 1.58465 | + | 0.757957i | ||||
\(597\) | −12.0375 | + | 1.89504i | −0.492664 | + | 0.0775589i | ||||
\(598\) | 8.65798 | − | 5.45619i | 0.354051 | − | 0.223120i | ||||
\(599\) | −12.1592 | −0.496810 | −0.248405 | − | 0.968656i | \(-0.579906\pi\) | ||||
−0.248405 | + | 0.968656i | \(0.579906\pi\) | |||||||
\(600\) | −2.08975 | + | 24.4056i | −0.0853136 | + | 0.996354i | ||||
\(601\) | 30.5857 | 1.24762 | 0.623808 | − | 0.781578i | \(-0.285585\pi\) | ||||
0.623808 | + | 0.781578i | \(0.285585\pi\) | |||||||
\(602\) | −13.3089 | + | 8.38718i | −0.542431 | + | 0.341836i | ||||
\(603\) | 0.00605140 | − | 3.24105i | 0.000246432 | − | 0.131986i | ||||
\(604\) | 32.6193 | + | 15.6022i | 1.32726 | + | 0.634847i | ||||
\(605\) | −13.0851 | + | 17.2087i | −0.531984 | + | 0.699632i | ||||
\(606\) | −25.0058 | + | 21.8642i | −1.01579 | + | 0.888171i | ||||
\(607\) | −12.9025 | −0.523695 | −0.261847 | − | 0.965109i | \(-0.584332\pi\) | ||||
−0.261847 | + | 0.965109i | \(0.584332\pi\) | |||||||
\(608\) | −24.2855 | − | 18.2380i | −0.984909 | − | 0.739651i | ||||
\(609\) | 19.2640 | + | 37.8952i | 0.780618 | + | 1.53559i | ||||
\(610\) | 5.54649 | + | 9.24176i | 0.224571 | + | 0.374188i | ||||
\(611\) | −12.7074 | − | 9.23249i | −0.514087 | − | 0.373506i | ||||
\(612\) | 32.5884 | + | 15.6623i | 1.31731 | + | 0.633111i | ||||
\(613\) | 20.3377 | + | 27.9925i | 0.821433 | + | 1.13061i | 0.989458 | + | 0.144823i | \(0.0462612\pi\) |
−0.168024 | + | 0.985783i | \(0.553739\pi\) | |||||||
\(614\) | −0.454644 | + | 0.286513i | −0.0183480 | + | 0.0115627i | ||||
\(615\) | 4.59837 | + | 0.835830i | 0.185424 | + | 0.0337039i | ||||
\(616\) | −7.28452 | + | 12.9578i | −0.293502 | + | 0.522083i | ||||
\(617\) | 9.29501 | − | 28.6071i | 0.374203 | − | 1.15168i | −0.569812 | − | 0.821775i | \(-0.692984\pi\) |
0.944015 | − | 0.329903i | \(-0.107016\pi\) | |||||||
\(618\) | −17.2233 | + | 28.8527i | −0.692823 | + | 1.16062i | ||||
\(619\) | −20.3775 | − | 6.62106i | −0.819042 | − | 0.266123i | −0.130620 | − | 0.991433i | \(-0.541697\pi\) |
−0.688423 | + | 0.725310i | \(0.741697\pi\) | |||||||
\(620\) | −0.332999 | − | 0.0516157i | −0.0133736 | − | 0.00207294i | ||||
\(621\) | 11.5845 | + | 1.86807i | 0.464869 | + | 0.0749632i | ||||
\(622\) | −5.42156 | − | 0.358312i | −0.217385 | − | 0.0143670i | ||||
\(623\) | 35.8340 | − | 49.3213i | 1.43566 | − | 1.97602i | ||||
\(624\) | 22.0721 | + | 2.38932i | 0.883592 | + | 0.0956494i | ||||
\(625\) | −18.8695 | − | 16.3995i | −0.754778 | − | 0.655980i | ||||
\(626\) | −18.8994 | − | 7.55202i | −0.755372 | − | 0.301840i | ||||
\(627\) | −7.59590 | + | 7.58173i | −0.303351 | + | 0.302785i | ||||
\(628\) | 27.6084 | + | 13.2055i | 1.10170 | + | 0.526955i | ||||
\(629\) | 1.21291 | − | 0.394098i | 0.0483618 | − | 0.0157137i | ||||
\(630\) | −43.0281 | − | 3.86792i | −1.71428 | − | 0.154101i | ||||
\(631\) | 31.0018 | + | 10.0731i | 1.23416 | + | 0.401004i | 0.852220 | − | 0.523183i | \(-0.175255\pi\) |
0.381942 | + | 0.924186i | \(0.375255\pi\) | |||||||
\(632\) | 2.81224 | + | 6.12651i | 0.111865 | + | 0.243700i | ||||
\(633\) | 34.6096 | + | 17.6752i | 1.37561 | + | 0.702526i | ||||
\(634\) | 9.45907 | + | 37.3303i | 0.375668 | + | 1.48258i | ||||
\(635\) | −0.0206252 | + | 0.946376i | −0.000818485 | + | 0.0375558i | ||||
\(636\) | 0.767160 | + | 31.7503i | 0.0304199 | + | 1.25898i | ||||
\(637\) | −25.8751 | − | 35.6140i | −1.02521 | − | 1.41108i | ||||
\(638\) | 8.52709 | − | 2.16066i | 0.337591 | − | 0.0855415i | ||||
\(639\) | −19.8253 | − | 27.3946i | −0.784276 | − | 1.08371i | ||||
\(640\) | −24.9353 | − | 4.26981i | −0.985654 | − | 0.168779i | ||||
\(641\) | −13.2734 | − | 18.2693i | −0.524267 | − | 0.721592i | 0.461976 | − | 0.886893i | \(-0.347141\pi\) |
−0.986243 | + | 0.165300i | \(0.947141\pi\) | |||||||
\(642\) | 9.65052 | − | 8.43808i | 0.380876 | − | 0.333024i | ||||
\(643\) | 11.9673 | 0.471945 | 0.235973 | − | 0.971760i | \(-0.424172\pi\) | ||||
0.235973 | + | 0.971760i | \(0.424172\pi\) | |||||||
\(644\) | −9.79419 | − | 18.0856i | −0.385945 | − | 0.712672i | ||||
\(645\) | −6.83987 | + | 6.53587i | −0.269320 | + | 0.257349i | ||||
\(646\) | 3.01739 | − | 45.6557i | 0.118718 | − | 1.79630i | ||||
\(647\) | 26.9297 | − | 8.74998i | 1.05871 | − | 0.343997i | 0.272632 | − | 0.962119i | \(-0.412106\pi\) |
0.786083 | + | 0.618121i | \(0.212106\pi\) | |||||||
\(648\) | 17.1789 | + | 18.7853i | 0.674850 | + | 0.737955i | ||||
\(649\) | −1.30325 | −0.0511570 | ||||||||
\(650\) | −15.2433 | + | 16.7650i | −0.597892 | + | 0.657578i | ||||
\(651\) | 0.0935206 | − | 0.586919i | 0.00366536 | − | 0.0230032i | ||||
\(652\) | −4.21141 | − | 22.8616i | −0.164931 | − | 0.895330i | ||||
\(653\) | −0.0910631 | − | 0.280263i | −0.00356358 | − | 0.0109676i | 0.949259 | − | 0.314496i | \(-0.101835\pi\) |
−0.952822 | + | 0.303528i | \(0.901835\pi\) | |||||||
\(654\) | 18.4107 | + | 4.19453i | 0.719915 | + | 0.164019i | ||||
\(655\) | −26.3632 | + | 7.93518i | −1.03010 | + | 0.310053i | ||||
\(656\) | −1.25947 | + | 4.65978i | −0.0491739 | + | 0.181934i | ||||
\(657\) | 2.68445 | − | 8.20970i | 0.104730 | − | 0.320291i | ||||
\(658\) | −20.1987 | + | 24.2595i | −0.787428 | + | 0.945732i | ||||
\(659\) | 7.82367 | − | 5.68423i | 0.304767 | − | 0.221426i | −0.424881 | − | 0.905249i | \(-0.639684\pi\) |
0.729648 | + | 0.683823i | \(0.239684\pi\) | |||||||
\(660\) | −2.74234 | + | 8.50855i | −0.106746 | + | 0.331195i | ||||
\(661\) | 23.2128 | + | 16.8651i | 0.902875 | + | 0.655977i | 0.939203 | − | 0.343363i | \(-0.111566\pi\) |
−0.0363279 | + | 0.999340i | \(0.511566\pi\) | |||||||
\(662\) | 3.81002 | − | 0.965415i | 0.148081 | − | 0.0375219i | ||||
\(663\) | 15.1566 | + | 29.8153i | 0.588634 | + | 1.15793i | ||||
\(664\) | −9.45916 | + | 47.1518i | −0.367087 | + | 1.82985i | ||||
\(665\) | 15.7572 | + | 52.3504i | 0.611037 | + | 2.03006i | ||||
\(666\) | 0.895816 | + | 0.0608848i | 0.0347122 | + | 0.00235924i | ||||
\(667\) | −3.76105 | + | 11.5753i | −0.145628 | + | 0.448198i | ||||
\(668\) | −10.3213 | + | 10.8526i | −0.399341 | + | 0.419901i | ||||
\(669\) | −10.7230 | + | 20.9965i | −0.414574 | + | 0.811772i | ||||
\(670\) | −2.24268 | + | 2.57721i | −0.0866423 | + | 0.0995663i | ||||
\(671\) | 1.21556 | + | 3.74111i | 0.0469262 | + | 0.144424i | ||||
\(672\) | 7.71681 | − | 43.9461i | 0.297682 | − | 1.69526i | ||||
\(673\) | −12.1353 | + | 16.7028i | −0.467781 | + | 0.643845i | −0.976100 | − | 0.217324i | \(-0.930267\pi\) |
0.508319 | + | 0.861169i | \(0.330267\pi\) | |||||||
\(674\) | −24.0989 | − | 9.62970i | −0.928255 | − | 0.370922i | ||||
\(675\) | −25.8217 | + | 2.87015i | −0.993879 | + | 0.110472i | ||||
\(676\) | −3.95865 | − | 3.76482i | −0.152256 | − | 0.144801i | ||||
\(677\) | −37.4298 | − | 27.1944i | −1.43854 | − | 1.04516i | −0.988344 | − | 0.152237i | \(-0.951352\pi\) |
−0.450201 | − | 0.892927i | \(-0.648648\pi\) | |||||||
\(678\) | −27.1159 | − | 6.17785i | −1.04138 | − | 0.237259i | ||||
\(679\) | 25.1304 | − | 8.16537i | 0.964417 | − | 0.313358i | ||||
\(680\) | −15.1412 | − | 34.9759i | −0.580638 | − | 1.34126i | ||||
\(681\) | 3.86845 | + | 1.97562i | 0.148239 | + | 0.0757061i | ||||
\(682\) | −0.114201 | − | 0.0456338i | −0.00437300 | − | 0.00174741i | ||||
\(683\) | −11.5373 | − | 3.74871i | −0.441464 | − | 0.143440i | 0.0798468 | − | 0.996807i | \(-0.474557\pi\) |
−0.521311 | + | 0.853367i | \(0.674557\pi\) | |||||||
\(684\) | 13.9542 | − | 29.0344i | 0.533552 | − | 1.11016i | ||||
\(685\) | −22.6092 | − | 7.89480i | −0.863851 | − | 0.301645i | ||||
\(686\) | −36.7094 | + | 23.1340i | −1.40157 | + | 0.883258i | ||||
\(687\) | 5.30903 | − | 2.69885i | 0.202552 | − | 0.102967i | ||||
\(688\) | −6.13240 | − | 7.60669i | −0.233796 | − | 0.290002i | ||||
\(689\) | −17.2685 | + | 23.7681i | −0.657878 | + | 0.905492i | ||||
\(690\) | −7.93678 | − | 9.48662i | −0.302148 | − | 0.361149i | ||||
\(691\) | 20.4701 | + | 28.1747i | 0.778719 | + | 1.07181i | 0.995422 | + | 0.0955767i | \(0.0304695\pi\) |
−0.216703 | + | 0.976237i | \(0.569530\pi\) | |||||||
\(692\) | −9.58958 | + | 5.19321i | −0.364541 | + | 0.197416i | ||||
\(693\) | −14.9859 | − | 4.90017i | −0.569267 | − | 0.186142i | ||||
\(694\) | 2.00101 | − | 2.40330i | 0.0759575 | − | 0.0912279i | ||||
\(695\) | −44.3822 | − | 0.967259i | −1.68351 | − | 0.0366902i | ||||
\(696\) | −21.9914 | + | 14.6127i | −0.833581 | + | 0.553892i | ||||
\(697\) | −6.91610 | + | 2.24718i | −0.261966 | + | 0.0851179i | ||||
\(698\) | 31.5243 | − | 19.8663i | 1.19321 | − | 0.751952i | ||||
\(699\) | 30.5755 | + | 4.87195i | 1.15647 | + | 0.184274i | ||||
\(700\) | 31.5998 | + | 32.7904i | 1.19436 | + | 1.23936i | ||||
\(701\) | 17.8486i | 0.674132i | 0.941481 | + | 0.337066i | \(0.109435\pi\) | ||||
−0.941481 | + | 0.337066i | \(0.890565\pi\) | |||||||
\(702\) | 2.07621 | + | 23.4561i | 0.0783615 | + | 0.885292i | ||||
\(703\) | −0.351119 | − | 1.08063i | −0.0132427 | − | 0.0407568i | ||||
\(704\) | −8.51836 | − | 3.56106i | −0.321048 | − | 0.134213i | ||||
\(705\) | −9.00077 | + | 16.7149i | −0.338989 | + | 0.629518i | ||||
\(706\) | 12.5379 | + | 10.4392i | 0.471872 | + | 0.392886i | ||||
\(707\) | 61.7527i | 2.32245i | ||||||||
\(708\) | 3.69006 | − | 1.29833i | 0.138681 | − | 0.0487941i | ||||
\(709\) | −30.9332 | + | 22.4743i | −1.16172 | + | 0.844040i | −0.989995 | − | 0.141104i | \(-0.954935\pi\) |
−0.171727 | + | 0.985145i | \(0.554935\pi\) | |||||||
\(710\) | −3.12506 | + | 35.5077i | −0.117281 | + | 1.33258i | ||||
\(711\) | −5.79235 | + | 4.19188i | −0.217230 | + | 0.157208i | ||||
\(712\) | 33.0072 | + | 18.5558i | 1.23700 | + | 0.695408i | ||||
\(713\) | 0.137661 | − | 0.100016i | 0.00515543 | − | 0.00374564i | ||||
\(714\) | 61.7995 | − | 26.4430i | 2.31279 | − | 0.989606i | ||||
\(715\) | −6.79448 | + | 4.71376i | −0.254099 | + | 0.176285i | ||||
\(716\) | 33.3803 | + | 4.43157i | 1.24748 | + | 0.165616i | ||||
\(717\) | 5.00376 | − | 9.79781i | 0.186869 | − | 0.365906i | ||||
\(718\) | 7.73048 | − | 19.3460i | 0.288499 | − | 0.721986i | ||||
\(719\) | −1.50211 | + | 4.62303i | −0.0560193 | + | 0.172410i | −0.975151 | − | 0.221540i | \(-0.928892\pi\) |
0.919132 | + | 0.393950i | \(0.128892\pi\) | |||||||
\(720\) | −0.711653 | − | 26.8234i | −0.0265217 | − | 0.999648i | ||||
\(721\) | 19.3044 | + | 59.4127i | 0.718932 | + | 2.21264i | ||||
\(722\) | −13.8650 | − | 0.916342i | −0.516003 | − | 0.0341027i | ||||
\(723\) | 6.79025 | + | 6.80294i | 0.252532 | + | 0.253004i | ||||
\(724\) | −9.05722 | − | 8.61374i | −0.336609 | − | 0.320127i | ||||
\(725\) | 1.17405 | − | 26.9225i | 0.0436030 | − | 0.999876i | ||||
\(726\) | 12.1384 | − | 20.3344i | 0.450499 | − | 0.754681i | ||||
\(727\) | −1.78083 | − | 1.29385i | −0.0660473 | − | 0.0479862i | 0.554272 | − | 0.832336i | \(-0.312997\pi\) |
−0.620319 | + | 0.784350i | \(0.712997\pi\) | |||||||
\(728\) | 30.3542 | − | 27.9673i | 1.12500 | − | 1.03654i | ||||
\(729\) | −15.9923 | + | 21.7542i | −0.592308 | + | 0.805712i | ||||
\(730\) | −7.80665 | + | 4.68521i | −0.288937 | + | 0.173407i | ||||
\(731\) | 4.54873 | − | 13.9995i | 0.168241 | − | 0.517792i | ||||
\(732\) | −7.16877 | − | 9.38174i | −0.264965 | − | 0.346759i | ||||
\(733\) | −42.2944 | − | 13.7423i | −1.56218 | − | 0.507583i | −0.604791 | − | 0.796385i | \(-0.706743\pi\) |
−0.957389 | + | 0.288802i | \(0.906743\pi\) | |||||||
\(734\) | −7.22513 | − | 28.5141i | −0.266685 | − | 1.05247i | ||||
\(735\) | −38.4670 | + | 36.7573i | −1.41888 | + | 1.35581i | ||||
\(736\) | 10.4522 | − | 7.34431i | 0.385274 | − | 0.270715i | ||||
\(737\) | −1.00870 | + | 0.732867i | −0.0371561 | + | 0.0269955i | ||||
\(738\) | −5.10801 | − | 0.347170i | −0.188029 | − | 0.0127795i | ||||
\(739\) | −13.3663 | + | 18.3971i | −0.491687 | + | 0.676749i | −0.980698 | − | 0.195529i | \(-0.937358\pi\) |
0.489011 | + | 0.872277i | \(0.337358\pi\) | |||||||
\(740\) | −0.671448 | − | 0.667030i | −0.0246829 | − | 0.0245205i | ||||
\(741\) | 26.5637 | − | 13.5037i | 0.975843 | − | 0.496070i | ||||
\(742\) | 45.3751 | + | 37.7799i | 1.66577 | + | 1.38694i | ||||
\(743\) | − | 14.3493i | − | 0.526426i | −0.964738 | − | 0.263213i | \(-0.915218\pi\) | ||
0.964738 | − | 0.263213i | \(-0.0847822\pi\) | |||||||
\(744\) | 0.368815 | + | 0.0154390i | 0.0135214 | + | 0.000566021i | ||||
\(745\) | 39.3936 | − | 27.3299i | 1.44327 | − | 1.00129i | ||||
\(746\) | −1.77734 | + | 26.8926i | −0.0650729 | + | 0.984608i | ||||
\(747\) | −51.0084 | − | 0.0952383i | −1.86630 | − | 0.00348459i | ||||
\(748\) | −2.51990 | − | 13.6793i | −0.0921367 | − | 0.500163i | ||||
\(749\) | − | 23.8323i | − | 0.870815i | ||||||
\(750\) | 22.5479 | + | 15.5432i | 0.823333 | + | 0.567559i | ||||
\(751\) | − | 4.38787i | − | 0.160116i | −0.996790 | − | 0.0800579i | \(-0.974489\pi\) | ||
0.996790 | − | 0.0800579i | \(-0.0255105\pi\) | |||||||
\(752\) | −16.4204 | − | 10.7144i | −0.598789 | − | 0.390714i | ||||
\(753\) | −5.78081 | − | 36.7204i | −0.210664 | − | 1.33817i | ||||
\(754\) | −24.3713 | − | 1.61071i | −0.887552 | − | 0.0586585i | ||||
\(755\) | 33.2158 | − | 23.0439i | 1.20885 | − | 0.838655i | ||||
\(756\) | 47.3133 | − | 1.05481i | 1.72077 | − | 0.0383631i | ||||
\(757\) | − | 21.8399i | − | 0.793785i | −0.917865 | − | 0.396893i | \(-0.870089\pi\) | ||
0.917865 | − | 0.396893i | \(-0.129911\pi\) | |||||||
\(758\) | −8.61585 | + | 10.3480i | −0.312942 | + | 0.375855i | ||||
\(759\) | −2.04560 | − | 4.02399i | −0.0742505 | − | 0.146062i | ||||
\(760\) | −31.1615 | + | 13.4899i | −1.13035 | + | 0.489331i | ||||
\(761\) | 15.0826 | − | 20.7594i | 0.546743 | − | 0.752528i | −0.442822 | − | 0.896609i | \(-0.646023\pi\) |
0.989566 | + | 0.144082i | \(0.0460228\pi\) | |||||||
\(762\) | −0.0933563 | − | 1.03274i | −0.00338194 | − | 0.0374122i | ||||
\(763\) | 28.4001 | − | 20.6339i | 1.02815 | − | 0.746997i | ||||
\(764\) | 3.92889 | + | 21.3279i | 0.142142 | + | 0.771618i | ||||
\(765\) | 33.2570 | − | 22.9807i | 1.20241 | − | 0.830867i | ||||
\(766\) | 17.3127 | − | 4.38684i | 0.625535 | − | 0.158503i | ||||
\(767\) | 3.44148 | + | 1.11821i | 0.124265 | + | 0.0403761i | ||||
\(768\) | 27.6668 | + | 1.59672i | 0.998339 | + | 0.0576166i | ||||
\(769\) | 9.02327 | − | 27.7708i | 0.325387 | − | 1.00144i | −0.645878 | − | 0.763441i | \(-0.723509\pi\) |
0.971265 | − | 0.237999i | \(-0.0764914\pi\) | |||||||
\(770\) | 8.55233 | + | 14.2502i | 0.308204 | + | 0.513541i | ||||
\(771\) | 5.89532 | + | 37.4478i | 0.212315 | + | 1.34865i | ||||
\(772\) | −43.9167 | − | 21.0059i | −1.58060 | − | 0.756020i | ||||
\(773\) | 11.7098 | + | 8.50765i | 0.421171 | + | 0.305999i | 0.778109 | − | 0.628129i | \(-0.216179\pi\) |
−0.356938 | + | 0.934128i | \(0.616179\pi\) | |||||||
\(774\) | 6.64600 | − | 7.95187i | 0.238886 | − | 0.285824i | ||||
\(775\) | −0.234517 | + | 0.294860i | −0.00842410 | + | 0.0105917i | ||||
\(776\) | 6.84666 | + | 14.9156i | 0.245781 | + | 0.535438i | ||||
\(777\) | 1.18144 | − | 1.17924i | 0.0423841 | − | 0.0423050i | ||||
\(778\) | −1.19841 | + | 18.1330i | −0.0429652 | + | 0.650099i | ||||
\(779\) | 2.00210 | + | 6.16184i | 0.0717328 | + | 0.220771i | ||||
\(780\) | 14.5422 | − | 20.1155i | 0.520693 | − | 0.720251i | ||||
\(781\) | −4.01995 | + | 12.3721i | −0.143845 | + | 0.442710i | ||||
\(782\) | 17.8712 | + | 7.14118i | 0.639074 | + | 0.255368i | ||||
\(783\) | −19.7472 | − | 19.8581i | −0.705706 | − | 0.709670i | ||||
\(784\) | −34.4883 | − | 42.7796i | −1.23172 | − | 1.52784i | ||||
\(785\) | 28.1133 | − | 19.5040i | 1.00341 | − | 0.696127i | ||||
\(786\) | 27.7277 | − | 11.8642i | 0.989013 | − | 0.423183i | ||||
\(787\) | −25.1325 | + | 18.2598i | −0.895877 | + | 0.650893i | −0.937404 | − | 0.348244i | \(-0.886778\pi\) |
0.0415265 | + | 0.999137i | \(0.486778\pi\) | |||||||
\(788\) | 19.7563 | + | 2.62286i | 0.703790 | + | 0.0934353i | ||||
\(789\) | −5.84357 | + | 5.83267i | −0.208037 | + | 0.207649i | ||||
\(790\) | 7.50779 | + | 0.660767i | 0.267115 | + | 0.0235090i | ||||
\(791\) | −41.8287 | + | 30.3903i | −1.48726 | + | 1.08056i | ||||
\(792\) | 1.94409 | − | 9.59789i | 0.0690802 | − | 0.341046i | ||||
\(793\) | − | 10.9221i | − | 0.387856i | ||||||
\(794\) | −8.85141 | + | 10.6309i | −0.314125 | + | 0.377276i | ||||
\(795\) | 31.2636 | + | 16.8351i | 1.10881 | + | 0.597080i | ||||
\(796\) | −12.6936 | − | 6.07152i | −0.449914 | − | 0.215199i | ||||
\(797\) | 7.78601 | + | 23.9629i | 0.275795 | + | 0.848808i | 0.989008 | + | 0.147861i | \(0.0472390\pi\) |
−0.713214 | + | 0.700947i | \(0.752761\pi\) | |||||||
\(798\) | −23.5592 | − | 55.0598i | −0.833987 | − | 1.94910i | ||||
\(799\) | − | 29.5383i | − | 1.04499i | ||||||
\(800\) | −17.9540 | + | 21.8553i | −0.634770 | + | 0.772701i | ||||
\(801\) | −12.4822 | + | 38.1735i | −0.441035 | + | 1.34879i | ||||
\(802\) | 8.24034 | + | 13.0759i | 0.290977 | + | 0.461727i | ||||
\(803\) | −3.16017 | + | 1.02680i | −0.111520 | + | 0.0362351i | ||||
\(804\) | 2.12598 | − | 3.07996i | 0.0749776 | − | 0.108622i | ||||
\(805\) | −22.9895 | − | 0.501030i | −0.810273 | − | 0.0176590i | ||||
\(806\) | 0.262417 | + | 0.218492i | 0.00924324 | + | 0.00769604i | ||||
\(807\) | 0.782607 | − | 4.91151i | 0.0275491 | − | 0.172893i | ||||
\(808\) | −38.0964 | + | 4.44594i | −1.34023 | + | 0.156407i | ||||
\(809\) | −25.5567 | − | 35.1757i | −0.898524 | − | 1.23671i | −0.970936 | − | 0.239338i | \(-0.923070\pi\) |
0.0724122 | − | 0.997375i | \(-0.476930\pi\) | |||||||
\(810\) | 27.7580 | − | 6.28424i | 0.975318 | − | 0.220806i | ||||
\(811\) | −0.159608 | + | 0.219681i | −0.00560459 | + | 0.00771406i | −0.811810 | − | 0.583922i | \(-0.801518\pi\) |
0.806206 | + | 0.591636i | \(0.201518\pi\) | |||||||
\(812\) | −6.46012 | + | 48.6601i | −0.226706 | + | 1.70763i | ||||
\(813\) | 9.26149 | + | 18.2187i | 0.324815 | + | 0.638959i | ||||
\(814\) | −0.184159 | − | 0.292226i | −0.00645475 | − | 0.0102425i | ||||
\(815\) | −24.5372 | − | 8.56806i | −0.859501 | − | 0.300126i | ||||
\(816\) | 20.7625 | + | 36.2215i | 0.726834 | + | 1.26801i | ||||
\(817\) | −12.4728 | − | 4.05265i | −0.436367 | − | 0.141784i | ||||
\(818\) | 10.1282 | − | 25.3464i | 0.354123 | − | 0.886215i | ||||
\(819\) | 35.3688 | + | 25.7980i | 1.23589 | + | 0.901455i | ||||
\(820\) | 3.82865 | + | 3.80345i | 0.133702 | + | 0.132822i | ||||
\(821\) | 7.68906 | − | 2.49833i | 0.268350 | − | 0.0871922i | −0.171751 | − | 0.985140i | \(-0.554943\pi\) |
0.440101 | + | 0.897948i | \(0.354943\pi\) | |||||||
\(822\) | 25.5782 | + | 5.82750i | 0.892141 | + | 0.203257i | ||||
\(823\) | −20.5487 | − | 14.9295i | −0.716282 | − | 0.520409i | 0.168912 | − | 0.985631i | \(-0.445975\pi\) |
−0.885194 | + | 0.465222i | \(0.845975\pi\) | |||||||
\(824\) | −35.2630 | + | 16.1867i | −1.22845 | + | 0.563891i | ||||
\(825\) | 6.74585 | + | 7.37484i | 0.234860 | + | 0.256759i | ||||
\(826\) | 2.69853 | − | 6.75325i | 0.0938940 | − | 0.234975i | ||||
\(827\) | 22.1457 | − | 30.4809i | 0.770081 | − | 1.05993i | −0.226227 | − | 0.974075i | \(-0.572639\pi\) |
0.996308 | − | 0.0858514i | \(-0.0273610\pi\) | |||||||
\(828\) | 9.80077 | + | 9.35580i | 0.340600 | + | 0.325137i | ||||
\(829\) | −9.77676 | − | 30.0898i | −0.339561 | − | 1.04506i | −0.964431 | − | 0.264333i | \(-0.914848\pi\) |
0.624870 | − | 0.780728i | \(-0.285152\pi\) | |||||||
\(830\) | 40.5607 | + | 35.2958i | 1.40788 | + | 1.22513i | ||||
\(831\) | 10.6912 | + | 5.46002i | 0.370874 | + | 0.189406i | ||||
\(832\) | 19.4390 | + | 16.7126i | 0.673925 | + | 0.579404i | ||||
\(833\) | 25.5818 | − | 78.7326i | 0.886356 | − | 2.72792i | ||||
\(834\) | 48.4323 | − | 4.37813i | 1.67707 | − | 0.151602i | ||||
\(835\) | 4.82618 | + | 16.0341i | 0.167017 | + | 0.554884i | ||||
\(836\) | −12.1874 | + | 2.24508i | −0.421511 | + | 0.0776479i | ||||
\(837\) | 0.0601655 | + | 0.386880i | 0.00207962 | + | 0.0133725i | ||||
\(838\) | −1.83544 | − | 7.24357i | −0.0634041 | − | 0.250225i | ||||
\(839\) | −26.6248 | − | 19.3440i | −0.919190 | − | 0.667831i | 0.0241323 | − | 0.999709i | \(-0.492318\pi\) |
−0.943322 | + | 0.331878i | \(0.892318\pi\) | |||||||
\(840\) | −38.4117 | − | 31.8284i | −1.32533 | − | 1.09818i | ||||
\(841\) | 0.0387881 | − | 0.0281812i | 0.00133752 | − | 0.000971765i | ||||
\(842\) | 14.4100 | + | 11.9979i | 0.496601 | + | 0.413476i | ||||
\(843\) | −1.06627 | + | 6.69171i | −0.0367242 | + | 0.230475i | ||||
\(844\) | 21.3690 | + | 39.4591i | 0.735550 | + | 1.35824i | ||||
\(845\) | −5.84867 | + | 1.76042i | −0.201200 | + | 0.0605602i | ||||
\(846\) | 7.75273 | − | 19.2970i | 0.266544 | − | 0.663446i | ||||
\(847\) | −13.6051 | − | 41.8721i | −0.467476 | − | 1.43874i | ||||
\(848\) | −20.0403 | + | 30.7128i | −0.688188 | + | 1.05468i | ||||
\(849\) | −12.6054 | − | 2.00856i | −0.432616 | − | 0.0689338i | ||||
\(850\) | −42.3556 | − | 4.65978i | −1.45279 | − | 0.159829i | ||||
\(851\) | 0.477917 | 0.0163828 | ||||||||
\(852\) | −0.943192 | − | 39.0357i | −0.0323132 | − | 1.33734i | ||||
\(853\) | −10.2394 | + | 3.32697i | −0.350589 | + | 0.113913i | −0.479017 | − | 0.877806i | \(-0.659007\pi\) |
0.128428 | + | 0.991719i | \(0.459007\pi\) | |||||||
\(854\) | −21.9029 | − | 1.44757i | −0.749501 | − | 0.0495347i | ||||
\(855\) | −20.4744 | − | 29.6301i | −0.700211 | − | 1.01333i | ||||
\(856\) | 14.7026 | − | 1.71583i | 0.502526 | − | 0.0586458i | ||||
\(857\) | −28.6004 | −0.976973 | −0.488486 | − | 0.872572i | \(-0.662451\pi\) | ||||
−0.488486 | + | 0.872572i | \(0.662451\pi\) | |||||||
\(858\) | 6.81957 | − | 5.96279i | 0.232816 | − | 0.203566i | ||||
\(859\) | 9.02753 | + | 12.4253i | 0.308015 | + | 0.423947i | 0.934761 | − | 0.355277i | \(-0.115613\pi\) |
−0.626746 | + | 0.779224i | \(0.715613\pi\) | |||||||
\(860\) | −10.7839 | + | 1.74450i | −0.367727 | + | 0.0594871i | ||||
\(861\) | −6.73668 | + | 6.72412i | −0.229585 | + | 0.229157i | ||||
\(862\) | −12.5932 | − | 49.6991i | −0.428925 | − | 1.69276i | ||||
\(863\) | −25.4428 | − | 35.0191i | −0.866085 | − | 1.19206i | −0.980084 | − | 0.198582i | \(-0.936366\pi\) |
0.114000 | − | 0.993481i | \(-0.463634\pi\) | |||||||
\(864\) | 4.05709 | + | 29.1125i | 0.138025 | + | 0.990429i | ||||
\(865\) | −0.265663 | + | 12.1898i | −0.00903280 | + | 0.414466i | ||||
\(866\) | −32.6496 | + | 8.27302i | −1.10948 | + | 0.281129i | ||||
\(867\) | −15.2153 | + | 29.7929i | −0.516738 | + | 1.01182i | ||||
\(868\) | 0.472936 | − | 0.497285i | 0.0160525 | − | 0.0168789i | ||||
\(869\) | 2.61598 | + | 0.849984i | 0.0887411 | + | 0.0288337i | ||||
\(870\) | 2.01647 | + | 29.4512i | 0.0683647 | + | 0.998489i | ||||
\(871\) | 3.29250 | − | 1.06980i | 0.111562 | − | 0.0362487i | ||||
\(872\) | 14.7741 | + | 16.0350i | 0.500315 | + | 0.543015i | ||||
\(873\) | −14.1020 | + | 10.2055i | −0.477281 | + | 0.345405i | ||||
\(874\) | 6.36238 | − | 15.9222i | 0.215211 | − | 0.538578i | ||||
\(875\) | 49.3461 | − | 12.5364i | 1.66820 | − | 0.423809i | ||||
\(876\) | 7.92490 | − | 6.05557i | 0.267758 | − | 0.204599i | ||||
\(877\) | −4.39436 | + | 6.04832i | −0.148387 | + | 0.204237i | −0.876740 | − | 0.480965i | \(-0.840286\pi\) |
0.728353 | + | 0.685203i | \(0.240286\pi\) | |||||||
\(878\) | 1.39380 | − | 21.0894i | 0.0470385 | − | 0.711732i | ||||
\(879\) | −5.90568 | − | 37.5136i | −0.199194 | − | 1.26530i | ||||
\(880\) | −8.17549 | + | 6.30205i | −0.275596 | + | 0.212442i | ||||
\(881\) | −3.81569 | − | 1.23979i | −0.128554 | − | 0.0417697i | 0.244034 | − | 0.969767i | \(-0.421529\pi\) |
−0.372587 | + | 0.927997i | \(0.621529\pi\) | |||||||
\(882\) | 37.3767 | − | 44.7208i | 1.25854 | − | 1.50583i | ||||
\(883\) | −13.8378 | + | 42.5882i | −0.465678 | + | 1.43321i | 0.392450 | + | 0.919773i | \(0.371627\pi\) |
−0.858128 | + | 0.513436i | \(0.828373\pi\) | |||||||
\(884\) | −5.08272 | + | 38.2849i | −0.170950 | + | 1.28766i | ||||
\(885\) | 0.782146 | − | 4.30302i | 0.0262915 | − | 0.144645i | ||||
\(886\) | −4.68133 | − | 7.42841i | −0.157272 | − | 0.249562i | ||||
\(887\) | 28.1666 | + | 38.7680i | 0.945742 | + | 1.30170i | 0.953393 | + | 0.301732i | \(0.0975647\pi\) |
−0.00765069 | + | 0.999971i | \(0.502435\pi\) | |||||||
\(888\) | 0.812555 | + | 0.643955i | 0.0272676 | + | 0.0216097i | ||||
\(889\) | −1.55962 | − | 1.13313i | −0.0523079 | − | 0.0380039i | ||||
\(890\) | 36.2994 | − | 21.7853i | 1.21676 | − | 0.730244i | ||||
\(891\) | 10.3868 | + | 0.0387866i | 0.347970 | + | 0.00129940i | ||||
\(892\) | −23.9385 | + | 12.9638i | −0.801521 | + | 0.434061i | ||||
\(893\) | −26.3169 | −0.880662 | ||||||||
\(894\) | −39.5391 | + | 34.5716i | −1.32238 | + | 1.15625i | ||||
\(895\) | 22.7872 | − | 29.9683i | 0.761691 | − | 1.00173i | ||||
\(896\) | 36.0912 | − | 36.7673i | 1.20572 | − | 1.22831i | ||||
\(897\) | 1.94916 | + | 12.3813i | 0.0650805 | + | 0.413400i | ||||
\(898\) | −20.8520 | − | 33.0882i | −0.695839 | − | 1.10417i | ||||
\(899\) | −0.406108 | −0.0135444 | ||||||||
\(900\) | −26.4474 | − | 14.1610i | −0.881581 | − | 0.472033i | ||||
\(901\) | −55.2487 | −1.84060 | ||||||||
\(902\) | 1.05009 | + | 1.66629i | 0.0349640 | + | 0.0554815i | ||||
\(903\) | −2.99622 | − | 19.0324i | −0.0997079 | − | 0.633357i | ||||
\(904\) | −21.7599 | − | 23.6170i | −0.723723 | − | 0.785488i | ||||
\(905\) | −13.3815 | + | 4.02775i | −0.444816 | + | 0.133887i | ||||
\(906\) | −33.3385 | + | 29.1500i | −1.10760 | + | 0.968444i | ||||
\(907\) | −7.31197 | −0.242790 | −0.121395 | − | 0.992604i | \(-0.538737\pi\) | ||||
−0.121395 | + | 0.992604i | \(0.538737\pi\) | |||||||
\(908\) | 2.38849 | + | 4.41049i | 0.0792648 | + | 0.146367i | ||||
\(909\) | −12.4991 | − | 38.7139i | −0.414567 | − | 1.28406i | ||||
\(910\) | −10.3572 | − | 44.9684i | −0.343339 | − | 1.49069i | ||||
\(911\) | 15.8410 | + | 11.5091i | 0.524835 | + | 0.381315i | 0.818422 | − | 0.574617i | \(-0.194849\pi\) |
−0.293587 | + | 0.955932i | \(0.594849\pi\) | |||||||
\(912\) | 32.2713 | − | 18.4982i | 1.06861 | − | 0.612537i | ||||
\(913\) | 11.5340 | + | 15.8752i | 0.381720 | + | 0.525393i | ||||
\(914\) | 21.3656 | + | 33.9034i | 0.706712 | + | 1.12142i | ||||
\(915\) | −13.0818 | + | 1.76827i | −0.432471 | + | 0.0584571i | ||||
\(916\) | 6.81716 | + | 0.905048i | 0.225245 | + | 0.0299036i | ||||
\(917\) | 17.3263 | − | 53.3250i | 0.572166 | − | 1.76095i | ||||
\(918\) | −33.3911 | + | 29.0862i | −1.10207 | + | 0.959987i | ||||
\(919\) | 44.7287 | + | 14.5332i | 1.47546 | + | 0.479407i | 0.932754 | − | 0.360514i | \(-0.117399\pi\) |
0.542709 | + | 0.839921i | \(0.317399\pi\) | |||||||
\(920\) | −1.34605 | − | 14.2187i | −0.0443780 | − | 0.468778i | ||||
\(921\) | −0.102353 | − | 0.650162i | −0.00337266 | − | 0.0214236i | ||||
\(922\) | −0.0953821 | + | 1.44321i | −0.00314124 | + | 0.0475296i | ||||
\(923\) | 21.2309 | − | 29.2219i | 0.698825 | − | 0.961850i | ||||
\(924\) | −11.0538 | − | 14.4660i | −0.363642 | − | 0.475898i | ||||
\(925\) | −1.01967 | + | 0.282836i | −0.0335264 | + | 0.00929958i | ||||
\(926\) | 6.12820 | − | 15.3362i | 0.201385 | − | 0.503978i | ||||
\(927\) | −24.1277 | − | 33.3396i | −0.792457 | − | 1.09502i | ||||
\(928\) | −30.4845 | − | 0.482057i | −1.00070 | − | 0.0158243i | ||||
\(929\) | −15.3700 | + | 4.99400i | −0.504272 | + | 0.163848i | −0.550096 | − | 0.835102i | \(-0.685409\pi\) |
0.0458237 | + | 0.998950i | \(0.485409\pi\) | |||||||
\(930\) | 0.219210 | − | 0.349679i | 0.00718819 | − | 0.0114664i | ||||
\(931\) | −70.1462 | − | 22.7919i | −2.29895 | − | 0.746974i | ||||
\(932\) | 25.9060 | + | 24.6375i | 0.848579 | + | 0.807029i | ||||
\(933\) | 3.02662 | − | 5.92639i | 0.0990871 | − | 0.194021i | ||||
\(934\) | 27.5306 | − | 6.97592i | 0.900828 | − | 0.228259i | ||||
\(935\) | −14.6819 | − | 5.12670i | −0.480148 | − | 0.167661i | ||||
\(936\) | −13.3689 | + | 23.6771i | −0.436975 | + | 0.773909i | ||||
\(937\) | −0.383594 | − | 0.527972i | −0.0125315 | − | 0.0172481i | 0.802705 | − | 0.596376i | \(-0.203393\pi\) |
−0.815237 | + | 0.579128i | \(0.803393\pi\) | |||||||
\(938\) | −1.70897 | − | 6.74446i | −0.0557997 | − | 0.220214i | ||||
\(939\) | 17.6421 | − | 17.6092i | 0.575730 | − | 0.574656i | ||||
\(940\) | −19.4989 | + | 10.0164i | −0.635983 | + | 0.326698i | ||||
\(941\) | −8.76419 | − | 12.0629i | −0.285704 | − | 0.393238i | 0.641909 | − | 0.766781i | \(-0.278143\pi\) |
−0.927613 | + | 0.373543i | \(0.878143\pi\) | |||||||
\(942\) | −28.2171 | + | 24.6721i | −0.919363 | + | 0.803859i | ||||
\(943\) | −2.72512 | −0.0887420 | ||||||||
\(944\) | 4.36049 | + | 1.17857i | 0.141922 | + | 0.0383593i | ||||
\(945\) | 25.1730 | − | 46.5391i | 0.818879 | − | 1.51392i | ||||
\(946\) | −3.97812 | − | 0.262915i | −0.129340 | − | 0.00854811i | ||||
\(947\) | 1.30062 | − | 0.422597i | 0.0422645 | − | 0.0137326i | −0.287808 | − | 0.957688i | \(-0.592927\pi\) |
0.330073 | + | 0.943955i | \(0.392927\pi\) | |||||||
\(948\) | −8.25375 | + | 0.199430i | −0.268069 | + | 0.00647718i | ||||
\(949\) | 9.22608 | 0.299491 | ||||||||
\(950\) | −4.15160 | + | 37.7364i | −0.134696 | + | 1.22433i | ||||
\(951\) | −46.5775 | − | 7.42173i | −1.51038 | − | 0.240666i | ||||
\(952\) | 76.1017 | + | 15.2668i | 2.46647 | + | 0.494801i | ||||
\(953\) | 7.92839 | + | 24.4011i | 0.256826 | + | 0.790429i | 0.993464 | + | 0.114142i | \(0.0364119\pi\) |
−0.736639 | + | 0.676287i | \(0.763588\pi\) | |||||||
\(954\) | −36.0933 | − | 14.5008i | −1.16856 | − | 0.469480i | ||||
\(955\) | 22.8911 | + | 7.99327i | 0.740740 | + | 0.258656i | ||||
\(956\) | 11.1707 | − | 6.04944i | 0.361285 | − | 0.195653i | ||||
\(957\) | −1.69529 | + | 10.6393i | −0.0548009 | + | 0.343921i | ||||
\(958\) | 8.77283 | + | 7.30437i | 0.283437 | + | 0.235994i | ||||
\(959\) | 39.4565 | − | 28.6669i | 1.27412 | − | 0.925701i | ||||
\(960\) | 16.8701 | − | 25.9885i | 0.544480 | − | 0.838774i | ||||
\(961\) | −25.0749 | − | 18.2180i | −0.808869 | − | 0.587678i | ||||
\(962\) | 0.235573 | + | 0.929691i | 0.00759517 | + | 0.0299744i | ||||
\(963\) | 4.82378 | + | 14.9409i | 0.155444 | + | 0.481465i | ||||
\(964\) | 2.01071 | + | 10.9151i | 0.0647607 | + | 0.351553i | ||||
\(965\) | −44.7198 | + | 31.0250i | −1.43958 | + | 0.998729i | ||||
\(966\) | 25.0874 | − | 2.26782i | 0.807175 | − | 0.0729661i | ||||
\(967\) | 5.10473 | − | 15.7107i | 0.164157 | − | 0.505223i | −0.834816 | − | 0.550529i | \(-0.814426\pi\) |
0.998973 | + | 0.0453055i | \(0.0144261\pi\) | |||||||
\(968\) | 24.8522 | − | 11.4079i | 0.798781 | − | 0.366662i | ||||
\(969\) | 49.9070 | + | 25.4876i | 1.60324 | + | 0.818779i | ||||
\(970\) | 18.2784 | + | 1.60870i | 0.586885 | + | 0.0516522i | ||||
\(971\) | −5.16636 | − | 15.9004i | −0.165796 | − | 0.510269i | 0.833298 | − | 0.552824i | \(-0.186450\pi\) |
−0.999094 | + | 0.0425558i | \(0.986450\pi\) | |||||||
\(972\) | −29.4481 | + | 10.2377i | −0.944547 | + | 0.328375i | ||||
\(973\) | 53.1404 | − | 73.1414i | 1.70360 | − | 2.34481i | ||||
\(974\) | −6.73567 | + | 16.8564i | −0.215825 | + | 0.540115i | ||||
\(975\) | −11.4860 | − | 25.2628i | −0.367847 | − | 0.809056i | ||||
\(976\) | −0.683884 | − | 13.6165i | −0.0218906 | − | 0.435855i | ||||
\(977\) | 28.3594 | + | 20.6043i | 0.907296 | + | 0.659189i | 0.940330 | − | 0.340265i | \(-0.110517\pi\) |
−0.0330334 | + | 0.999454i | \(0.510517\pi\) | |||||||
\(978\) | 27.7594 | + | 6.32445i | 0.887648 | + | 0.202234i | ||||
\(979\) | 14.6942 | − | 4.77443i | 0.469628 | − | 0.152591i | ||||
\(980\) | −60.6478 | + | 9.81099i | −1.93732 | + | 0.313401i | ||||
\(981\) | −13.6282 | + | 18.6841i | −0.435114 | + | 0.596537i | ||||
\(982\) | 7.40287 | − | 18.5261i | 0.236235 | − | 0.591193i | ||||
\(983\) | 28.6048 | + | 9.29426i | 0.912352 | + | 0.296441i | 0.727326 | − | 0.686293i | \(-0.240763\pi\) |
0.185026 | + | 0.982734i | \(0.440763\pi\) | |||||||
\(984\) | −4.63325 | − | 3.67188i | −0.147703 | − | 0.117055i | ||||
\(985\) | 13.4867 | − | 17.7369i | 0.429723 | − | 0.565145i | ||||
\(986\) | −24.4886 | − | 38.8589i | −0.779876 | − | 1.23752i | ||||
\(987\) | −17.5201 | − | 34.4646i | −0.557671 | − | 1.09702i | ||||
\(988\) | 34.1096 | + | 4.52841i | 1.08517 | + | 0.144068i | ||||
\(989\) | 3.24232 | − | 4.46268i | 0.103100 | − | 0.141905i | ||||
\(990\) | −8.24592 | − | 7.20267i | −0.262073 | − | 0.228916i | ||||
\(991\) | −13.4281 | − | 18.4822i | −0.426557 | − | 0.587106i | 0.540602 | − | 0.841279i | \(-0.318197\pi\) |
−0.967159 | + | 0.254173i | \(0.918197\pi\) | |||||||
\(992\) | 0.340834 | + | 0.255961i | 0.0108215 | + | 0.00812677i | ||||
\(993\) | −0.757479 | + | 4.75381i | −0.0240379 | + | 0.150857i | ||||
\(994\) | −55.7868 | − | 46.4488i | −1.76945 | − | 1.47327i | ||||
\(995\) | −12.9257 | + | 8.96741i | −0.409774 | + | 0.284286i | ||||
\(996\) | −48.4731 | − | 33.4592i | −1.53593 | − | 1.06019i | ||||
\(997\) | −21.1254 | + | 6.86405i | −0.669047 | + | 0.217387i | −0.623794 | − | 0.781589i | \(-0.714410\pi\) |
−0.0452535 | + | 0.998976i | \(0.514410\pi\) | |||||||
\(998\) | 19.5921 | + | 31.0891i | 0.620177 | + | 0.984108i | ||||
\(999\) | −0.501985 | + | 0.978418i | −0.0158821 | + | 0.0309558i |
(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.r.a.59.11 | ✓ | 224 | |
3.2 | odd | 2 | inner | 300.2.r.a.59.46 | yes | 224 | |
4.3 | odd | 2 | inner | 300.2.r.a.59.33 | yes | 224 | |
12.11 | even | 2 | inner | 300.2.r.a.59.24 | yes | 224 | |
25.14 | even | 10 | inner | 300.2.r.a.239.24 | yes | 224 | |
75.14 | odd | 10 | inner | 300.2.r.a.239.33 | yes | 224 | |
100.39 | odd | 10 | inner | 300.2.r.a.239.46 | yes | 224 | |
300.239 | even | 10 | inner | 300.2.r.a.239.11 | yes | 224 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
300.2.r.a.59.11 | ✓ | 224 | 1.1 | even | 1 | trivial | |
300.2.r.a.59.24 | yes | 224 | 12.11 | even | 2 | inner | |
300.2.r.a.59.33 | yes | 224 | 4.3 | odd | 2 | inner | |
300.2.r.a.59.46 | yes | 224 | 3.2 | odd | 2 | inner | |
300.2.r.a.239.11 | yes | 224 | 300.239 | even | 10 | inner | |
300.2.r.a.239.24 | yes | 224 | 25.14 | even | 10 | inner | |
300.2.r.a.239.33 | yes | 224 | 75.14 | odd | 10 | inner | |
300.2.r.a.239.46 | yes | 224 | 100.39 | odd | 10 | inner |