Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [429,2,Mod(25,429)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(429, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([0, 8, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("429.25");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 429 = 3 \cdot 11 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 429.bb (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: | \(3.42558224671\) |
Analytic rank: | \(0\) |
Dimension: | \(56\) |
Relative dimension: | \(14\) over \(\Q(\zeta_{10})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 25.11 | ||
Character | \(\chi\) | \(=\) | 429.25 |
Dual form | 429.2.bb.b.103.11 |
$q$-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 \(\left(\mathbb{Z}/429\mathbb{Z}\right)^\times\).
\(n\) | \(67\) | \(79\) | \(287\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{4}{5}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.812362 | + | 1.11812i | 0.574427 | + | 0.790631i | 0.993071 | − | 0.117520i | \(-0.0374944\pi\) |
−0.418644 | + | 0.908151i | \(0.637494\pi\) | |||||||
\(3\) | −0.309017 | − | 0.951057i | −0.178411 | − | 0.549093i | ||||
\(4\) | 0.0277724 | − | 0.0854748i | 0.0138862 | − | 0.0427374i | ||||
\(5\) | −2.36802 | + | 3.25930i | −1.05901 | + | 1.45760i | −0.178285 | + | 0.983979i | \(0.557055\pi\) |
−0.880727 | + | 0.473625i | \(0.842945\pi\) | |||||||
\(6\) | 0.812362 | − | 1.11812i | 0.331646 | − | 0.456471i | ||||
\(7\) | 1.14719 | + | 0.372746i | 0.433599 | + | 0.140885i | 0.517680 | − | 0.855574i | \(-0.326796\pi\) |
−0.0840817 | + | 0.996459i | \(0.526796\pi\) | |||||||
\(8\) | 2.74699 | − | 0.892552i | 0.971208 | − | 0.315565i | ||||
\(9\) | −0.809017 | + | 0.587785i | −0.269672 | + | 0.195928i | ||||
\(10\) | −5.56798 | −1.76075 | ||||||||
\(11\) | −2.11473 | + | 2.55498i | −0.637614 | + | 0.770356i | ||||
\(12\) | −0.0898735 | −0.0259442 | ||||||||
\(13\) | 0.139422 | + | 3.60285i | 0.0386686 | + | 0.999252i | ||||
\(14\) | 0.515162 | + | 1.58551i | 0.137683 | + | 0.423744i | ||||
\(15\) | 3.83154 | + | 1.24494i | 0.989299 | + | 0.321443i | ||||
\(16\) | 3.08412 | + | 2.24074i | 0.771029 | + | 0.560185i | ||||
\(17\) | 4.95416 | + | 3.59941i | 1.20156 | + | 0.872985i | 0.994437 | − | 0.105330i | \(-0.0335900\pi\) |
0.207123 | + | 0.978315i | \(0.433590\pi\) | |||||||
\(18\) | −1.31443 | − | 0.427084i | −0.309814 | − | 0.100665i | ||||
\(19\) | −2.61241 | + | 0.848825i | −0.599329 | + | 0.194734i | −0.592941 | − | 0.805246i | \(-0.702033\pi\) |
−0.00638775 | + | 0.999980i | \(0.502033\pi\) | |||||||
\(20\) | 0.212822 | + | 0.292925i | 0.0475885 | + | 0.0655000i | ||||
\(21\) | − | 1.20623i | − | 0.263221i | ||||||
\(22\) | −4.57470 | − | 0.288950i | −0.975330 | − | 0.0616043i | ||||
\(23\) | 1.88864 | 0.393808 | 0.196904 | − | 0.980423i | \(-0.436911\pi\) | ||||
0.196904 | + | 0.980423i | \(0.436911\pi\) | |||||||
\(24\) | −1.69773 | − | 2.33673i | −0.346549 | − | 0.476983i | ||||
\(25\) | −3.47044 | − | 10.6809i | −0.694087 | − | 2.13618i | ||||
\(26\) | −3.91517 | + | 3.08271i | −0.767827 | + | 0.604570i | ||||
\(27\) | 0.809017 | + | 0.587785i | 0.155695 | + | 0.113119i | ||||
\(28\) | 0.0637207 | − | 0.0877041i | 0.0120421 | − | 0.0165745i | ||||
\(29\) | −1.30287 | + | 4.00983i | −0.241938 | + | 0.744607i | 0.754188 | + | 0.656659i | \(0.228031\pi\) |
−0.996125 | + | 0.0879480i | \(0.971969\pi\) | |||||||
\(30\) | 1.72060 | + | 5.29547i | 0.314137 | + | 0.966816i | ||||
\(31\) | −5.18802 | − | 7.14070i | −0.931797 | − | 1.28251i | −0.959155 | − | 0.282882i | \(-0.908709\pi\) |
0.0273580 | − | 0.999626i | \(-0.491291\pi\) | |||||||
\(32\) | − | 0.508010i | − | 0.0898044i | ||||||
\(33\) | 3.08342 | + | 1.22169i | 0.536754 | + | 0.212669i | ||||
\(34\) | 8.46337i | 1.45146i | ||||||||
\(35\) | −3.93147 | + | 2.85638i | −0.664540 | + | 0.482817i | ||||
\(36\) | 0.0277724 | + | 0.0854748i | 0.00462874 | + | 0.0142458i | ||||
\(37\) | 10.6498 | + | 3.46032i | 1.75081 | + | 0.568874i | 0.996184 | − | 0.0872777i | \(-0.0278168\pi\) |
0.754629 | + | 0.656151i | \(0.227817\pi\) | |||||||
\(38\) | −3.07131 | − | 2.23144i | −0.498233 | − | 0.361988i | ||||
\(39\) | 3.38343 | − | 1.24594i | 0.541783 | − | 0.199510i | ||||
\(40\) | −3.59584 | + | 11.0669i | −0.568552 | + | 1.74982i | ||||
\(41\) | 4.62939 | − | 1.50418i | 0.722989 | − | 0.234914i | 0.0756706 | − | 0.997133i | \(-0.475890\pi\) |
0.647319 | + | 0.762219i | \(0.275890\pi\) | |||||||
\(42\) | 1.34871 | − | 0.979897i | 0.208111 | − | 0.151201i | ||||
\(43\) | −2.30799 | −0.351965 | −0.175982 | − | 0.984393i | \(-0.556310\pi\) | ||||
−0.175982 | + | 0.984393i | \(0.556310\pi\) | |||||||
\(44\) | 0.159655 | + | 0.251714i | 0.0240689 | + | 0.0379473i | ||||
\(45\) | − | 4.02872i | − | 0.600566i | ||||||
\(46\) | 1.53426 | + | 2.11172i | 0.226214 | + | 0.311357i | ||||
\(47\) | −6.94647 | + | 2.25705i | −1.01325 | + | 0.329224i | −0.768147 | − | 0.640274i | \(-0.778821\pi\) |
−0.245100 | + | 0.969498i | \(0.578821\pi\) | |||||||
\(48\) | 1.17803 | − | 3.62559i | 0.170034 | − | 0.523310i | ||||
\(49\) | −4.48600 | − | 3.25927i | −0.640858 | − | 0.465610i | ||||
\(50\) | 9.12329 | − | 12.5571i | 1.29023 | − | 1.77585i | ||||
\(51\) | 1.89232 | − | 5.82396i | 0.264978 | − | 0.815518i | ||||
\(52\) | 0.311825 | + | 0.0881430i | 0.0432424 | + | 0.0122232i | ||||
\(53\) | 5.81450 | − | 4.22448i | 0.798683 | − | 0.580277i | −0.111845 | − | 0.993726i | \(-0.535676\pi\) |
0.910527 | + | 0.413449i | \(0.135676\pi\) | |||||||
\(54\) | 1.38207i | 0.188076i | ||||||||
\(55\) | −3.31974 | − | 12.9428i | −0.447633 | − | 1.74520i | ||||
\(56\) | 3.48403 | 0.465573 | ||||||||
\(57\) | 1.61456 | + | 2.22225i | 0.213854 | + | 0.294344i | ||||
\(58\) | −5.54188 | + | 1.80067i | −0.727685 | + | 0.236439i | ||||
\(59\) | −5.63000 | − | 1.82930i | −0.732963 | − | 0.238154i | −0.0813289 | − | 0.996687i | \(-0.525916\pi\) |
−0.651635 | + | 0.758533i | \(0.725916\pi\) | |||||||
\(60\) | 0.212822 | − | 0.292925i | 0.0274752 | − | 0.0378164i | ||||
\(61\) | 2.59398 | + | 1.88463i | 0.332125 | + | 0.241303i | 0.741332 | − | 0.671139i | \(-0.234195\pi\) |
−0.409207 | + | 0.912442i | \(0.634195\pi\) | |||||||
\(62\) | 3.76961 | − | 11.6017i | 0.478741 | − | 1.47341i | ||||
\(63\) | −1.14719 | + | 0.372746i | −0.144533 | + | 0.0469616i | ||||
\(64\) | 6.73625 | − | 4.89417i | 0.842031 | − | 0.611771i | ||||
\(65\) | −12.0729 | − | 8.07722i | −1.49746 | − | 1.00186i | ||||
\(66\) | 1.13885 | + | 4.44009i | 0.140183 | + | 0.546537i | ||||
\(67\) | − | 11.7021i | − | 1.42963i | −0.699312 | − | 0.714817i | \(-0.746510\pi\) | ||
0.699312 | − | 0.714817i | \(-0.253490\pi\) | |||||||
\(68\) | 0.445248 | − | 0.323491i | 0.0539942 | − | 0.0392291i | ||||
\(69\) | −0.583621 | − | 1.79620i | −0.0702597 | − | 0.216237i | ||||
\(70\) | −6.38756 | − | 2.07544i | −0.763459 | − | 0.248063i | ||||
\(71\) | 2.12509 | − | 2.92494i | 0.252202 | − | 0.347126i | −0.664079 | − | 0.747662i | \(-0.731176\pi\) |
0.916281 | + | 0.400536i | \(0.131176\pi\) | |||||||
\(72\) | −1.69773 | + | 2.33673i | −0.200080 | + | 0.275386i | ||||
\(73\) | 5.26823 | + | 1.71175i | 0.616599 | + | 0.200345i | 0.600630 | − | 0.799527i | \(-0.294917\pi\) |
0.0159695 | + | 0.999872i | \(0.494917\pi\) | |||||||
\(74\) | 4.78242 | + | 14.7188i | 0.555945 | + | 1.71102i | ||||
\(75\) | −9.08572 | + | 6.60116i | −1.04913 | + | 0.762237i | ||||
\(76\) | 0.246869i | 0.0283179i | ||||||||
\(77\) | −3.37836 | + | 2.14280i | −0.385000 | + | 0.244195i | ||||
\(78\) | 4.14169 | + | 2.77093i | 0.468954 | + | 0.313746i | ||||
\(79\) | 9.61797 | − | 6.98787i | 1.08211 | − | 0.786196i | 0.104057 | − | 0.994571i | \(-0.466817\pi\) |
0.978049 | + | 0.208375i | \(0.0668175\pi\) | |||||||
\(80\) | −14.6065 | + | 4.74594i | −1.63306 | + | 0.530612i | ||||
\(81\) | 0.309017 | − | 0.951057i | 0.0343352 | − | 0.105673i | ||||
\(82\) | 5.44260 | + | 3.95428i | 0.601034 | + | 0.436677i | ||||
\(83\) | −0.487663 | + | 0.671210i | −0.0535279 | + | 0.0736749i | −0.834942 | − | 0.550338i | \(-0.814499\pi\) |
0.781414 | + | 0.624013i | \(0.214499\pi\) | |||||||
\(84\) | −0.103102 | − | 0.0335000i | −0.0112494 | − | 0.00365515i | ||||
\(85\) | −23.4631 | + | 7.62363i | −2.54493 | + | 0.826898i | ||||
\(86\) | −1.87492 | − | 2.58061i | −0.202178 | − | 0.278274i | ||||
\(87\) | 4.21619 | 0.452023 | ||||||||
\(88\) | −3.52869 | + | 8.90602i | −0.376159 | + | 0.949385i | ||||
\(89\) | 6.26927i | 0.664542i | 0.943184 | + | 0.332271i | \(0.107815\pi\) | ||||
−0.943184 | + | 0.332271i | \(0.892185\pi\) | |||||||
\(90\) | 4.50459 | − | 3.27278i | 0.474826 | − | 0.344981i | ||||
\(91\) | −1.18301 | + | 4.18514i | −0.124013 | + | 0.438722i | ||||
\(92\) | 0.0524520 | − | 0.161431i | 0.00546850 | − | 0.0168303i | ||||
\(93\) | −5.18802 | + | 7.14070i | −0.537973 | + | 0.740456i | ||||
\(94\) | −8.16670 | − | 5.93346i | −0.842331 | − | 0.611989i | ||||
\(95\) | 3.41968 | − | 10.5247i | 0.350851 | − | 1.07981i | ||||
\(96\) | −0.483146 | + | 0.156984i | −0.0493109 | + | 0.0160221i | ||||
\(97\) | 4.36816 | + | 6.01226i | 0.443520 | + | 0.610453i | 0.970990 | − | 0.239121i | \(-0.0768593\pi\) |
−0.527470 | + | 0.849574i | \(0.676859\pi\) | |||||||
\(98\) | − | 7.66360i | − | 0.774141i | ||||||
\(99\) | 0.209070 | − | 3.31003i | 0.0210123 | − | 0.332670i | ||||
\(100\) | −1.00933 | −0.100933 | ||||||||
\(101\) | 12.8144 | − | 9.31024i | 1.27508 | − | 0.926403i | 0.275692 | − | 0.961246i | \(-0.411093\pi\) |
0.999393 | + | 0.0348431i | \(0.0110931\pi\) | |||||||
\(102\) | 8.04915 | − | 2.61533i | 0.796984 | − | 0.258956i | ||||
\(103\) | 0.414930 | − | 1.27702i | 0.0408843 | − | 0.125829i | −0.928531 | − | 0.371255i | \(-0.878928\pi\) |
0.969415 | + | 0.245426i | \(0.0789277\pi\) | |||||||
\(104\) | 3.59872 | + | 9.77257i | 0.352884 | + | 0.958279i | ||||
\(105\) | 3.93147 | + | 2.85638i | 0.383672 | + | 0.278754i | ||||
\(106\) | 9.44696 | + | 3.06950i | 0.917570 | + | 0.298136i | ||||
\(107\) | 1.19641 | + | 3.68219i | 0.115662 | + | 0.355970i | 0.992084 | − | 0.125572i | \(-0.0400767\pi\) |
−0.876423 | + | 0.481543i | \(0.840077\pi\) | |||||||
\(108\) | 0.0727092 | − | 0.0528263i | 0.00699644 | − | 0.00508321i | ||||
\(109\) | 0.205808i | 0.0197128i | 0.999951 | + | 0.00985640i | \(0.00313744\pi\) | ||||
−0.999951 | + | 0.00985640i | \(0.996863\pi\) | |||||||
\(110\) | 11.7748 | − | 14.2261i | 1.12268 | − | 1.35640i | ||||
\(111\) | − | 11.1978i | − | 1.06285i | ||||||
\(112\) | 2.70285 | + | 3.72016i | 0.255395 | + | 0.351522i | ||||
\(113\) | −3.17940 | − | 9.78518i | −0.299093 | − | 0.920513i | −0.981816 | − | 0.189836i | \(-0.939204\pi\) |
0.682723 | − | 0.730677i | \(-0.260796\pi\) | |||||||
\(114\) | −1.17314 | + | 3.61055i | −0.109874 | + | 0.338159i | ||||
\(115\) | −4.47233 | + | 6.15564i | −0.417047 | + | 0.574016i | ||||
\(116\) | 0.306555 | + | 0.222726i | 0.0284630 | + | 0.0206796i | ||||
\(117\) | −2.23050 | − | 2.83282i | −0.206210 | − | 0.261894i | ||||
\(118\) | −2.52822 | − | 7.78107i | −0.232742 | − | 0.716306i | ||||
\(119\) | 4.34172 | + | 5.97586i | 0.398005 | + | 0.547806i | ||||
\(120\) | 11.6364 | 1.06225 | ||||||||
\(121\) | −2.05586 | − | 10.8062i | −0.186896 | − | 0.982380i | ||||
\(122\) | 4.43138i | 0.401199i | ||||||||
\(123\) | −2.86112 | − | 3.93800i | −0.257979 | − | 0.355077i | ||||
\(124\) | −0.754434 | + | 0.245130i | −0.0677502 | + | 0.0220134i | ||||
\(125\) | 23.8727 | + | 7.75670i | 2.13524 | + | 0.693780i | ||||
\(126\) | −1.34871 | − | 0.979897i | −0.120153 | − | 0.0872961i | ||||
\(127\) | −4.60499 | − | 3.34572i | −0.408627 | − | 0.296885i | 0.364419 | − | 0.931235i | \(-0.381268\pi\) |
−0.773046 | + | 0.634350i | \(0.781268\pi\) | |||||||
\(128\) | 9.97825 | + | 3.24213i | 0.881961 | + | 0.286567i | ||||
\(129\) | 0.713207 | + | 2.19502i | 0.0627944 | + | 0.193261i | ||||
\(130\) | −0.776297 | − | 20.0606i | −0.0680858 | − | 1.75943i | ||||
\(131\) | 0.569272 | 0.0497375 | 0.0248688 | − | 0.999691i | \(-0.492083\pi\) | ||||
0.0248688 | + | 0.999691i | \(0.492083\pi\) | |||||||
\(132\) | 0.190058 | − | 0.229625i | 0.0165424 | − | 0.0199863i | ||||
\(133\) | −3.31334 | −0.287303 | ||||||||
\(134\) | 13.0843 | − | 9.50631i | 1.13031 | − | 0.821220i | ||||
\(135\) | −3.83154 | + | 1.24494i | −0.329766 | + | 0.107148i | ||||
\(136\) | 16.8217 | + | 5.46570i | 1.44245 | + | 0.468680i | ||||
\(137\) | −3.45220 | + | 4.75154i | −0.294941 | + | 0.405951i | −0.930611 | − | 0.366009i | \(-0.880724\pi\) |
0.635670 | + | 0.771961i | \(0.280724\pi\) | |||||||
\(138\) | 1.53426 | − | 2.11172i | 0.130605 | − | 0.179762i | ||||
\(139\) | −4.90115 | + | 15.0842i | −0.415710 | + | 1.27942i | 0.495904 | + | 0.868377i | \(0.334837\pi\) |
−0.911614 | + | 0.411047i | \(0.865163\pi\) | |||||||
\(140\) | 0.134962 | + | 0.415370i | 0.0114064 | + | 0.0351052i | ||||
\(141\) | 4.29316 | + | 5.90902i | 0.361549 | + | 0.497630i | ||||
\(142\) | 4.99678 | 0.419320 | ||||||||
\(143\) | −9.50006 | − | 7.26283i | −0.794435 | − | 0.607349i | ||||
\(144\) | −3.81218 | −0.317681 | ||||||||
\(145\) | −9.98402 | − | 13.7418i | −0.829128 | − | 1.14120i | ||||
\(146\) | 2.36576 | + | 7.28108i | 0.195792 | + | 0.602586i | ||||
\(147\) | −1.71350 | + | 5.27361i | −0.141327 | + | 0.434960i | ||||
\(148\) | 0.591541 | − | 0.814186i | 0.0486243 | − | 0.0669257i | ||||
\(149\) | −8.74050 | + | 12.0303i | −0.716049 | + | 0.985557i | 0.283596 | + | 0.958944i | \(0.408472\pi\) |
−0.999646 | + | 0.0266137i | \(0.991528\pi\) | |||||||
\(150\) | −14.7618 | − | 4.79640i | −1.20530 | − | 0.391624i | ||||
\(151\) | −3.14445 | + | 1.02169i | −0.255892 | + | 0.0831443i | −0.434154 | − | 0.900839i | \(-0.642953\pi\) |
0.178262 | + | 0.983983i | \(0.442953\pi\) | |||||||
\(152\) | −6.41866 | + | 4.66343i | −0.520622 | + | 0.378254i | ||||
\(153\) | −6.12368 | −0.495070 | ||||||||
\(154\) | −5.14037 | − | 2.03668i | −0.414223 | − | 0.164121i | ||||
\(155\) | 35.5591 | 2.85617 | ||||||||
\(156\) | −0.0125303 | − | 0.323801i | −0.00100323 | − | 0.0259248i | ||||
\(157\) | 7.47568 | + | 23.0078i | 0.596624 | + | 1.83622i | 0.546468 | + | 0.837480i | \(0.315972\pi\) |
0.0501559 | + | 0.998741i | \(0.484028\pi\) | |||||||
\(158\) | 15.6266 | + | 5.07738i | 1.24318 | + | 0.403934i | ||||
\(159\) | −5.81450 | − | 4.22448i | −0.461120 | − | 0.335023i | ||||
\(160\) | 1.65576 | + | 1.20298i | 0.130899 | + | 0.0951038i | ||||
\(161\) | 2.16663 | + | 0.703982i | 0.170755 | + | 0.0554815i | ||||
\(162\) | 1.31443 | − | 0.427084i | 0.103271 | − | 0.0335549i | ||||
\(163\) | 6.31460 | + | 8.69131i | 0.494598 | + | 0.680756i | 0.981228 | − | 0.192853i | \(-0.0617739\pi\) |
−0.486630 | + | 0.873608i | \(0.661774\pi\) | |||||||
\(164\) | − | 0.437471i | − | 0.0341607i | ||||||
\(165\) | −11.2835 | + | 7.15680i | −0.878416 | + | 0.557156i | ||||
\(166\) | −1.14665 | −0.0889975 | ||||||||
\(167\) | 4.41029 | + | 6.07025i | 0.341279 | + | 0.469730i | 0.944814 | − | 0.327606i | \(-0.106242\pi\) |
−0.603536 | + | 0.797336i | \(0.706242\pi\) | |||||||
\(168\) | −1.07662 | − | 3.31351i | −0.0830633 | − | 0.255643i | ||||
\(169\) | −12.9611 | + | 1.00463i | −0.997009 | + | 0.0772794i | ||||
\(170\) | −27.5847 | − | 20.0414i | −2.11565 | − | 1.53711i | ||||
\(171\) | 1.61456 | − | 2.22225i | 0.123469 | − | 0.169940i | ||||
\(172\) | −0.0640984 | + | 0.197275i | −0.00488746 | + | 0.0150420i | ||||
\(173\) | −7.20840 | − | 22.1852i | −0.548044 | − | 1.68671i | −0.713640 | − | 0.700513i | \(-0.752955\pi\) |
0.165596 | − | 0.986194i | \(-0.447045\pi\) | |||||||
\(174\) | 3.42507 | + | 4.71421i | 0.259654 | + | 0.357383i | ||||
\(175\) | − | 13.5467i | − | 1.02403i | ||||||
\(176\) | −12.2471 | + | 3.14130i | −0.923161 | + | 0.236784i | ||||
\(177\) | 5.91973i | 0.444954i | ||||||||
\(178\) | −7.00981 | + | 5.09292i | −0.525407 | + | 0.381731i | ||||
\(179\) | 6.27597 | + | 19.3154i | 0.469088 | + | 1.44370i | 0.853768 | + | 0.520654i | \(0.174312\pi\) |
−0.384680 | + | 0.923050i | \(0.625688\pi\) | |||||||
\(180\) | −0.344354 | − | 0.111887i | −0.0256666 | − | 0.00833959i | ||||
\(181\) | 12.7913 | + | 9.29345i | 0.950773 | + | 0.690777i | 0.950990 | − | 0.309223i | \(-0.100069\pi\) |
−0.000216680 | 1.00000i | \(0.500069\pi\) | ||||||||
\(182\) | −5.64052 | + | 2.07711i | −0.418103 | + | 0.153966i | ||||
\(183\) | 0.990811 | − | 3.04940i | 0.0732428 | − | 0.225418i | ||||
\(184\) | 5.18807 | − | 1.68571i | 0.382470 | − | 0.124272i | ||||
\(185\) | −36.4971 | + | 26.5167i | −2.68332 | + | 1.94955i | ||||
\(186\) | −12.1987 | −0.894454 | ||||||||
\(187\) | −19.6731 | + | 5.04602i | −1.43864 | + | 0.369002i | ||||
\(188\) | 0.656432i | 0.0478752i | ||||||||
\(189\) | 0.709005 | + | 0.975862i | 0.0515725 | + | 0.0709835i | ||||
\(190\) | 14.5459 | − | 4.72624i | 1.05527 | − | 0.342878i | ||||
\(191\) | 2.84460 | − | 8.75477i | 0.205828 | − | 0.633473i | −0.793851 | − | 0.608113i | \(-0.791927\pi\) |
0.999678 | − | 0.0253599i | \(-0.00807316\pi\) | |||||||
\(192\) | −6.73625 | − | 4.89417i | −0.486147 | − | 0.353206i | ||||
\(193\) | 11.6438 | − | 16.0263i | 0.838137 | − | 1.15360i | −0.148216 | − | 0.988955i | \(-0.547353\pi\) |
0.986353 | − | 0.164642i | \(-0.0526469\pi\) | |||||||
\(194\) | −3.17390 | + | 9.76827i | −0.227873 | + | 0.701321i | ||||
\(195\) | −3.95115 | + | 13.9780i | −0.282948 | + | 1.00099i | ||||
\(196\) | −0.403173 | + | 0.292922i | −0.0287981 | + | 0.0209230i | ||||
\(197\) | − | 14.1589i | − | 1.00878i | −0.863475 | − | 0.504391i | \(-0.831717\pi\) | ||
0.863475 | − | 0.504391i | \(-0.168283\pi\) | |||||||
\(198\) | 3.87085 | − | 2.45518i | 0.275089 | − | 0.174482i | ||||
\(199\) | −4.56427 | −0.323552 | −0.161776 | − | 0.986827i | \(-0.551722\pi\) | ||||
−0.161776 | + | 0.986827i | \(0.551722\pi\) | |||||||
\(200\) | −19.0665 | − | 26.2428i | −1.34821 | − | 1.85565i | ||||
\(201\) | −11.1293 | + | 3.61613i | −0.785001 | + | 0.255062i | ||||
\(202\) | 20.8199 | + | 6.76481i | 1.46489 | + | 0.475970i | ||||
\(203\) | −2.98930 | + | 4.11442i | −0.209808 | + | 0.288775i | ||||
\(204\) | −0.445248 | − | 0.323491i | −0.0311736 | − | 0.0226489i | ||||
\(205\) | −6.05992 | + | 18.6505i | −0.423243 | + | 1.30261i | ||||
\(206\) | 1.76494 | − | 0.573464i | 0.122969 | − | 0.0399551i | ||||
\(207\) | −1.52794 | + | 1.11011i | −0.106199 | + | 0.0771582i | ||||
\(208\) | −7.64307 | + | 11.4240i | −0.529952 | + | 0.792114i | ||||
\(209\) | 3.35581 | − | 8.46970i | 0.232126 | − | 0.585861i | ||||
\(210\) | 6.71628i | 0.463467i | ||||||||
\(211\) | 17.3085 | − | 12.5754i | 1.19157 | − | 0.865725i | 0.198139 | − | 0.980174i | \(-0.436510\pi\) |
0.993429 | + | 0.114449i | \(0.0365102\pi\) | |||||||
\(212\) | −0.199604 | − | 0.614317i | −0.0137088 | − | 0.0421915i | ||||
\(213\) | −3.43847 | − | 1.11723i | −0.235600 | − | 0.0765511i | ||||
\(214\) | −3.14521 | + | 4.32900i | −0.215002 | + | 0.295925i | ||||
\(215\) | 5.46536 | − | 7.52242i | 0.372734 | − | 0.513025i | ||||
\(216\) | 2.74699 | + | 0.892552i | 0.186909 | + | 0.0607305i | ||||
\(217\) | −3.29000 | − | 10.1256i | −0.223340 | − | 0.687370i | ||||
\(218\) | −0.230118 | + | 0.167190i | −0.0155856 | + | 0.0113236i | ||||
\(219\) | − | 5.53934i | − | 0.374314i | ||||||
\(220\) | −1.19848 | − | 0.0756989i | −0.0808014 | − | 0.00510362i | ||||
\(221\) | −12.2774 | + | 18.3510i | −0.825869 | + | 1.23442i | ||||
\(222\) | 12.5205 | − | 9.09671i | 0.840324 | − | 0.610531i | ||||
\(223\) | 5.30291 | − | 1.72302i | 0.355109 | − | 0.115382i | −0.126030 | − | 0.992026i | \(-0.540223\pi\) |
0.481139 | + | 0.876645i | \(0.340223\pi\) | |||||||
\(224\) | 0.189359 | − | 0.582786i | 0.0126521 | − | 0.0389391i | ||||
\(225\) | 9.08572 | + | 6.60116i | 0.605715 | + | 0.440078i | ||||
\(226\) | 8.35819 | − | 11.5041i | 0.555979 | − | 0.765239i | ||||
\(227\) | −19.1796 | − | 6.23183i | −1.27300 | − | 0.413621i | −0.406887 | − | 0.913478i | \(-0.633386\pi\) |
−0.866108 | + | 0.499857i | \(0.833386\pi\) | |||||||
\(228\) | 0.234787 | − | 0.0762868i | 0.0155491 | − | 0.00505222i | ||||
\(229\) | −4.07364 | − | 5.60689i | −0.269194 | − | 0.370513i | 0.652924 | − | 0.757424i | \(-0.273542\pi\) |
−0.922117 | + | 0.386910i | \(0.873542\pi\) | |||||||
\(230\) | −10.5159 | −0.693398 | ||||||||
\(231\) | 3.08190 | + | 2.55085i | 0.202774 | + | 0.167834i | ||||
\(232\) | 12.1779i | 0.799516i | ||||||||
\(233\) | −16.4229 | + | 11.9319i | −1.07590 | + | 0.781686i | −0.976963 | − | 0.213408i | \(-0.931544\pi\) |
−0.0989354 | + | 0.995094i | \(0.531544\pi\) | |||||||
\(234\) | 1.35546 | − | 4.79524i | 0.0886093 | − | 0.313475i | ||||
\(235\) | 9.09300 | − | 27.9854i | 0.593162 | − | 1.82557i | ||||
\(236\) | −0.312718 | + | 0.430419i | −0.0203562 | + | 0.0280179i | ||||
\(237\) | −9.61797 | − | 6.98787i | −0.624754 | − | 0.453911i | ||||
\(238\) | −3.15469 | + | 9.70913i | −0.204488 | + | 0.629349i | ||||
\(239\) | −5.94028 | + | 1.93011i | −0.384245 | + | 0.124849i | −0.494769 | − | 0.869025i | \(-0.664747\pi\) |
0.110524 | + | 0.993873i | \(0.464747\pi\) | |||||||
\(240\) | 9.02731 | + | 12.4250i | 0.582711 | + | 0.802032i | ||||
\(241\) | − | 6.42528i | − | 0.413889i | −0.978353 | − | 0.206944i | \(-0.933648\pi\) | ||
0.978353 | − | 0.206944i | \(-0.0663520\pi\) | |||||||
\(242\) | 10.4125 | − | 11.0772i | 0.669341 | − | 0.712071i | ||||
\(243\) | −1.00000 | −0.0641500 | ||||||||
\(244\) | 0.233130 | − | 0.169379i | 0.0149246 | − | 0.0108434i | ||||
\(245\) | 21.2459 | − | 6.90321i | 1.35735 | − | 0.441030i | ||||
\(246\) | 2.07889 | − | 6.39816i | 0.132545 | − | 0.407932i | ||||
\(247\) | −3.42242 | − | 9.29380i | −0.217763 | − | 0.591350i | ||||
\(248\) | −20.6249 | − | 14.9849i | −1.30968 | − | 0.951540i | ||||
\(249\) | 0.789055 | + | 0.256379i | 0.0500043 | + | 0.0162474i | ||||
\(250\) | 10.7203 | + | 32.9938i | 0.678013 | + | 2.08671i | ||||
\(251\) | −6.24903 | + | 4.54019i | −0.394435 | + | 0.286574i | −0.767271 | − | 0.641324i | \(-0.778386\pi\) |
0.372835 | + | 0.927898i | \(0.378386\pi\) | |||||||
\(252\) | 0.108408i | 0.00682907i | ||||||||
\(253\) | −3.99395 | + | 4.82543i | −0.251098 | + | 0.303372i | ||||
\(254\) | − | 7.86688i | − | 0.493612i | ||||||
\(255\) | 14.5010 | + | 19.9589i | 0.908088 | + | 1.24988i | ||||
\(256\) | −0.665172 | − | 2.04719i | −0.0415733 | − | 0.127949i | ||||
\(257\) | −5.38775 | + | 16.5818i | −0.336079 | + | 1.03434i | 0.630109 | + | 0.776506i | \(0.283010\pi\) |
−0.966188 | + | 0.257838i | \(0.916990\pi\) | |||||||
\(258\) | −1.87492 | + | 2.58061i | −0.116727 | + | 0.160662i | ||||
\(259\) | 10.9275 | + | 7.93933i | 0.679005 | + | 0.493326i | ||||
\(260\) | −1.02569 | + | 0.807608i | −0.0636108 | + | 0.0500857i | ||||
\(261\) | −1.30287 | − | 4.00983i | −0.0806458 | − | 0.248202i | ||||
\(262\) | 0.462455 | + | 0.636515i | 0.0285706 | + | 0.0393240i | ||||
\(263\) | 4.81811 | 0.297097 | 0.148549 | − | 0.988905i | \(-0.452540\pi\) | ||||
0.148549 | + | 0.988905i | \(0.452540\pi\) | |||||||
\(264\) | 9.56055 | + | 0.603869i | 0.588411 | + | 0.0371655i | ||||
\(265\) | 28.9549i | 1.77868i | ||||||||
\(266\) | −2.69163 | − | 3.70472i | −0.165035 | − | 0.227151i | ||||
\(267\) | 5.96243 | − | 1.93731i | 0.364895 | − | 0.118562i | ||||
\(268\) | −1.00023 | − | 0.324995i | −0.0610988 | − | 0.0198522i | ||||
\(269\) | −5.72715 | − | 4.16102i | −0.349190 | − | 0.253702i | 0.399339 | − | 0.916803i | \(-0.369240\pi\) |
−0.748529 | + | 0.663102i | \(0.769240\pi\) | |||||||
\(270\) | −4.50459 | − | 3.27278i | −0.274141 | − | 0.199175i | ||||
\(271\) | 26.3097 | + | 8.54854i | 1.59820 | + | 0.519287i | 0.966662 | − | 0.256057i | \(-0.0824236\pi\) |
0.631539 | + | 0.775344i | \(0.282424\pi\) | |||||||
\(272\) | 7.21386 | + | 22.2020i | 0.437404 | + | 1.34619i | ||||
\(273\) | 4.34588 | − | 0.168175i | 0.263024 | − | 0.0101784i | ||||
\(274\) | −8.11723 | −0.490380 | ||||||||
\(275\) | 34.6285 | + | 13.7203i | 2.08818 | + | 0.827365i | ||||
\(276\) | −0.169738 | −0.0102171 | ||||||||
\(277\) | 3.17307 | − | 2.30537i | 0.190652 | − | 0.138516i | −0.488365 | − | 0.872640i | \(-0.662406\pi\) |
0.679016 | + | 0.734123i | \(0.262406\pi\) | |||||||
\(278\) | −20.8475 | + | 6.77375i | −1.25035 | + | 0.406263i | ||||
\(279\) | 8.39440 | + | 2.72751i | 0.502560 | + | 0.163291i | ||||
\(280\) | −8.25025 | + | 11.3555i | −0.493047 | + | 0.678621i | ||||
\(281\) | −1.32268 | + | 1.82051i | −0.0789044 | + | 0.108603i | −0.846645 | − | 0.532158i | \(-0.821381\pi\) |
0.767740 | + | 0.640761i | \(0.221381\pi\) | |||||||
\(282\) | −3.11940 | + | 9.60054i | −0.185758 | + | 0.571704i | ||||
\(283\) | 0.748575 | + | 2.30388i | 0.0444981 | + | 0.136951i | 0.970837 | − | 0.239739i | \(-0.0770620\pi\) |
−0.926339 | + | 0.376691i | \(0.877062\pi\) | |||||||
\(284\) | −0.190989 | − | 0.262874i | −0.0113331 | − | 0.0155987i | ||||
\(285\) | −11.0663 | −0.655511 | ||||||||
\(286\) | 0.403232 | − | 16.5223i | 0.0238436 | − | 0.976982i | ||||
\(287\) | 5.87149 | 0.346583 | ||||||||
\(288\) | 0.298601 | + | 0.410989i | 0.0175952 | + | 0.0242178i | ||||
\(289\) | 6.33467 | + | 19.4961i | 0.372628 | + | 1.14683i | ||||
\(290\) | 7.25438 | − | 22.3267i | 0.425992 | − | 1.31107i | ||||
\(291\) | 4.36816 | − | 6.01226i | 0.256066 | − | 0.352445i | ||||
\(292\) | 0.292623 | − | 0.402761i | 0.0171245 | − | 0.0235698i | ||||
\(293\) | −1.52179 | − | 0.494458i | −0.0889037 | − | 0.0288866i | 0.264227 | − | 0.964460i | \(-0.414883\pi\) |
−0.353131 | + | 0.935574i | \(0.614883\pi\) | |||||||
\(294\) | −7.28852 | + | 2.36818i | −0.425075 | + | 0.138115i | ||||
\(295\) | 19.2942 | − | 14.0180i | 1.12335 | − | 0.816162i | ||||
\(296\) | 32.3434 | 1.87992 | ||||||||
\(297\) | −3.21263 | + | 0.824018i | −0.186416 | + | 0.0478144i | ||||
\(298\) | −20.5517 | −1.19053 | ||||||||
\(299\) | 0.263317 | + | 6.80449i | 0.0152280 | + | 0.393514i | ||||
\(300\) | 0.311900 | + | 0.959930i | 0.0180076 | + | 0.0554216i | ||||
\(301\) | −2.64771 | − | 0.860292i | −0.152611 | − | 0.0495864i | ||||
\(302\) | −3.69681 | − | 2.68589i | −0.212728 | − | 0.154556i | ||||
\(303\) | −12.8144 | − | 9.31024i | −0.736170 | − | 0.534859i | ||||
\(304\) | −9.95898 | − | 3.23587i | −0.571187 | − | 0.185590i | ||||
\(305\) | −12.2852 | + | 3.99170i | −0.703447 | + | 0.228564i | ||||
\(306\) | −4.97465 | − | 6.84701i | −0.284382 | − | 0.391418i | ||||
\(307\) | − | 32.6932i | − | 1.86590i | −0.360009 | − | 0.932949i | \(-0.617226\pi\) | ||
0.360009 | − | 0.932949i | \(-0.382774\pi\) | |||||||
\(308\) | 0.0893303 | + | 0.348275i | 0.00509007 | + | 0.0198448i | ||||
\(309\) | −1.34274 | −0.0763860 | ||||||||
\(310\) | 28.8868 | + | 39.7593i | 1.64066 | + | 2.25818i | ||||
\(311\) | −4.52315 | − | 13.9208i | −0.256484 | − | 0.789378i | −0.993534 | − | 0.113539i | \(-0.963781\pi\) |
0.737049 | − | 0.675839i | \(-0.236219\pi\) | |||||||
\(312\) | 8.18220 | − | 6.44248i | 0.463226 | − | 0.364734i | ||||
\(313\) | 3.09857 | + | 2.25124i | 0.175141 | + | 0.127248i | 0.671902 | − | 0.740640i | \(-0.265477\pi\) |
−0.496761 | + | 0.867887i | \(0.665477\pi\) | |||||||
\(314\) | −19.6525 | + | 27.0494i | −1.10906 | + | 1.52648i | ||||
\(315\) | 1.50169 | − | 4.62172i | 0.0846106 | − | 0.260405i | ||||
\(316\) | −0.330172 | − | 1.01616i | −0.0185736 | − | 0.0571637i | ||||
\(317\) | −18.6687 | − | 25.6952i | −1.04854 | − | 1.44319i | −0.890071 | − | 0.455821i | \(-0.849346\pi\) |
−0.158465 | − | 0.987365i | \(-0.550654\pi\) | |||||||
\(318\) | − | 9.93312i | − | 0.557022i | ||||||
\(319\) | −7.48982 | − | 11.8085i | −0.419350 | − | 0.661150i | ||||
\(320\) | 33.5450i | 1.87522i | ||||||||
\(321\) | 3.13225 | − | 2.27572i | 0.174825 | − | 0.127018i | ||||
\(322\) | 0.972955 | + | 2.99445i | 0.0542206 | + | 0.166874i | ||||
\(323\) | −15.9976 | − | 5.19793i | −0.890129 | − | 0.289221i | ||||
\(324\) | −0.0727092 | − | 0.0528263i | −0.00403940 | − | 0.00293479i | ||||
\(325\) | 37.9979 | − | 13.9926i | 2.10774 | − | 0.776171i | ||||
\(326\) | −4.58818 | + | 14.1210i | −0.254116 | + | 0.782089i | ||||
\(327\) | 0.195735 | − | 0.0635981i | 0.0108242 | − | 0.00351698i | ||||
\(328\) | 11.3743 | − | 8.26394i | 0.628043 | − | 0.456300i | ||||
\(329\) | −8.81026 | −0.485725 | ||||||||
\(330\) | −17.1684 | − | 6.80236i | −0.945091 | − | 0.374458i | ||||
\(331\) | − | 3.44051i | − | 0.189108i | −0.995520 | − | 0.0945538i | \(-0.969858\pi\) | ||
0.995520 | − | 0.0945538i | \(-0.0301424\pi\) | |||||||
\(332\) | 0.0438279 | + | 0.0603240i | 0.00240537 | + | 0.00331071i | ||||
\(333\) | −10.6498 | + | 3.46032i | −0.583604 | + | 0.189625i | ||||
\(334\) | −3.20451 | + | 9.86248i | −0.175343 | + | 0.539651i | ||||
\(335\) | 38.1405 | + | 27.7107i | 2.08384 | + | 1.51400i | ||||
\(336\) | 2.70285 | − | 3.72016i | 0.147453 | − | 0.202951i | ||||
\(337\) | 3.31585 | − | 10.2051i | 0.180626 | − | 0.555909i | −0.819220 | − | 0.573479i | \(-0.805593\pi\) |
0.999846 | + | 0.0175707i | \(0.00559322\pi\) | |||||||
\(338\) | −11.6524 | − | 13.6760i | −0.633808 | − | 0.743875i | ||||
\(339\) | −8.32378 | + | 6.04758i | −0.452085 | + | 0.328459i | ||||
\(340\) | 2.21723i | 0.120246i | ||||||||
\(341\) | 29.2156 | + | 1.84533i | 1.58211 | + | 0.0999304i | ||||
\(342\) | 3.79635 | 0.205283 | ||||||||
\(343\) | −8.89447 | − | 12.2422i | −0.480256 | − | 0.661016i | ||||
\(344\) | −6.34002 | + | 2.06000i | −0.341831 | + | 0.111068i | ||||
\(345\) | 7.23639 | + | 2.35124i | 0.389594 | + | 0.126587i | ||||
\(346\) | 18.9499 | − | 26.0822i | 1.01875 | − | 1.40219i | ||||
\(347\) | 5.40394 | + | 3.92619i | 0.290099 | + | 0.210769i | 0.723310 | − | 0.690523i | \(-0.242620\pi\) |
−0.433211 | + | 0.901292i | \(0.642620\pi\) | |||||||
\(348\) | 0.117094 | − | 0.360378i | 0.00627688 | − | 0.0193183i | ||||
\(349\) | −3.92453 | + | 1.27516i | −0.210075 | + | 0.0682575i | −0.412164 | − | 0.911110i | \(-0.635227\pi\) |
0.202089 | + | 0.979367i | \(0.435227\pi\) | |||||||
\(350\) | 15.1468 | − | 11.0048i | 0.809631 | − | 0.588231i | ||||
\(351\) | −2.00491 | + | 2.99672i | −0.107014 | + | 0.159953i | ||||
\(352\) | 1.29796 | + | 1.07430i | 0.0691813 | + | 0.0572605i | ||||
\(353\) | 7.68323i | 0.408937i | 0.978873 | + | 0.204468i | \(0.0655466\pi\) | ||||
−0.978873 | + | 0.204468i | \(0.934453\pi\) | |||||||
\(354\) | −6.61897 | + | 4.80897i | −0.351795 | + | 0.255594i | ||||
\(355\) | 4.50099 | + | 13.8526i | 0.238888 | + | 0.735221i | ||||
\(356\) | 0.535865 | + | 0.174113i | 0.0284008 | + | 0.00922797i | ||||
\(357\) | 4.34172 | − | 5.97586i | 0.229788 | − | 0.316276i | ||||
\(358\) | −16.4986 | + | 22.7084i | −0.871980 | + | 1.20018i | ||||
\(359\) | 20.1521 | + | 6.54782i | 1.06359 | + | 0.345581i | 0.787987 | − | 0.615692i | \(-0.211123\pi\) |
0.275600 | + | 0.961272i | \(0.411123\pi\) | |||||||
\(360\) | −3.59584 | − | 11.0669i | −0.189517 | − | 0.583275i | ||||
\(361\) | −9.26712 | + | 6.73296i | −0.487743 | + | 0.354366i | ||||
\(362\) | 21.8519i | 1.14851i | ||||||||
\(363\) | −9.64199 | + | 5.29453i | −0.506073 | + | 0.277891i | ||||
\(364\) | 0.324869 | + | 0.217349i | 0.0170278 | + | 0.0113922i | ||||
\(365\) | −18.0544 | + | 13.1173i | −0.945010 | + | 0.686590i | ||||
\(366\) | 4.21450 | − | 1.36937i | 0.220295 | − | 0.0715783i | ||||
\(367\) | 5.53331 | − | 17.0298i | 0.288836 | − | 0.888947i | −0.696386 | − | 0.717667i | \(-0.745210\pi\) |
0.985222 | − | 0.171280i | \(-0.0547901\pi\) | |||||||
\(368\) | 5.82477 | + | 4.23195i | 0.303637 | + | 0.220605i | ||||
\(369\) | −2.86112 | + | 3.93800i | −0.148944 | + | 0.205004i | ||||
\(370\) | −59.2978 | − | 19.2670i | −3.08275 | − | 1.00164i | ||||
\(371\) | 8.24502 | − | 2.67897i | 0.428060 | − | 0.139085i | ||||
\(372\) | 0.466266 | + | 0.641760i | 0.0241748 | + | 0.0332737i | ||||
\(373\) | 1.31388 | 0.0680303 | 0.0340152 | − | 0.999421i | \(-0.489171\pi\) | ||||
0.0340152 | + | 0.999421i | \(0.489171\pi\) | |||||||
\(374\) | −21.6238 | − | 17.8977i | −1.11814 | − | 0.925469i | ||||
\(375\) | − | 25.1012i | − | 1.29622i | ||||||
\(376\) | −17.0674 | + | 12.4002i | −0.880183 | + | 0.639490i | ||||
\(377\) | −14.6285 | − | 4.13501i | −0.753406 | − | 0.212964i | ||||
\(378\) | −0.515162 | + | 1.58551i | −0.0264971 | + | 0.0815496i | ||||
\(379\) | 3.09714 | − | 4.26285i | 0.159089 | − | 0.218968i | −0.722030 | − | 0.691862i | \(-0.756791\pi\) |
0.881119 | + | 0.472894i | \(0.156791\pi\) | |||||||
\(380\) | −0.804622 | − | 0.584592i | −0.0412762 | − | 0.0299889i | ||||
\(381\) | −1.75895 | + | 5.41349i | −0.0901138 | + | 0.277342i | ||||
\(382\) | 12.0997 | − | 3.93144i | 0.619076 | − | 0.201150i | ||||
\(383\) | 9.70634 | + | 13.3596i | 0.495971 | + | 0.682646i | 0.981475 | − | 0.191589i | \(-0.0613640\pi\) |
−0.485504 | + | 0.874234i | \(0.661364\pi\) | |||||||
\(384\) | − | 10.4918i | − | 0.535405i | ||||||
\(385\) | 1.01599 | − | 16.0853i | 0.0517796 | − | 0.819783i | ||||
\(386\) | 27.3783 | 1.39352 | ||||||||
\(387\) | 1.86720 | − | 1.35660i | 0.0949151 | − | 0.0689598i | ||||
\(388\) | 0.635211 | − | 0.206393i | 0.0322480 | − | 0.0104780i | ||||
\(389\) | 1.59155 | − | 4.89830i | 0.0806950 | − | 0.248354i | −0.902567 | − | 0.430548i | \(-0.858320\pi\) |
0.983262 | + | 0.182195i | \(0.0583202\pi\) | |||||||
\(390\) | −18.8389 | + | 6.93738i | −0.953945 | + | 0.351288i | ||||
\(391\) | 9.35661 | + | 6.79798i | 0.473184 | + | 0.343788i | ||||
\(392\) | −15.2321 | − | 4.94921i | −0.769337 | − | 0.249973i | ||||
\(393\) | −0.175915 | − | 0.541410i | −0.00887373 | − | 0.0273105i | ||||
\(394\) | 15.8314 | − | 11.5022i | 0.797575 | − | 0.579472i | ||||
\(395\) | 47.8953i | 2.40987i | ||||||||
\(396\) | −0.277118 | − | 0.109798i | −0.0139257 | − | 0.00551754i | ||||
\(397\) | − | 25.2015i | − | 1.26483i | −0.774632 | − | 0.632413i | \(-0.782065\pi\) | ||
0.774632 | − | 0.632413i | \(-0.217935\pi\) | |||||||
\(398\) | −3.70784 | − | 5.10340i | −0.185857 | − | 0.255811i | ||||
\(399\) | 1.02388 | + | 3.15118i | 0.0512581 | + | 0.157756i | ||||
\(400\) | 13.2299 | − | 40.7175i | 0.661496 | − | 2.03587i | ||||
\(401\) | 9.48639 | − | 13.0569i | 0.473728 | − | 0.652030i | −0.503557 | − | 0.863962i | \(-0.667976\pi\) |
0.977284 | + | 0.211932i | \(0.0679755\pi\) | |||||||
\(402\) | −13.0843 | − | 9.50631i | −0.652586 | − | 0.474132i | ||||
\(403\) | 25.0036 | − | 19.6873i | 1.24552 | − | 0.980693i | ||||
\(404\) | −0.439902 | − | 1.35388i | −0.0218859 | − | 0.0673580i | ||||
\(405\) | 2.36802 | + | 3.25930i | 0.117668 | + | 0.161956i | ||||
\(406\) | −7.02881 | −0.348834 | ||||||||
\(407\) | −31.3624 | + | 19.8924i | −1.55458 | + | 0.986027i | ||||
\(408\) | − | 17.6874i | − | 0.875656i | ||||||
\(409\) | 19.1128 | + | 26.3065i | 0.945066 | + | 1.30077i | 0.953685 | + | 0.300808i | \(0.0972565\pi\) |
−0.00861890 | + | 0.999963i | \(0.502744\pi\) | |||||||
\(410\) | −25.7764 | + | 8.37525i | −1.27300 | + | 0.413624i | ||||
\(411\) | 5.58577 | + | 1.81493i | 0.275526 | + | 0.0895237i | ||||
\(412\) | −0.0976297 | − | 0.0709322i | −0.00480987 | − | 0.00349458i | ||||
\(413\) | −5.77684 | − | 4.19712i | −0.284260 | − | 0.206527i | ||||
\(414\) | −2.48248 | − | 0.806607i | −0.122007 | − | 0.0396426i | ||||
\(415\) | −1.03288 | − | 3.17888i | −0.0507021 | − | 0.156045i | ||||
\(416\) | 1.83029 | − | 0.0708276i | 0.0897372 | − | 0.00347261i | ||||
\(417\) | 15.8605 | 0.776690 | ||||||||
\(418\) | 12.1963 | − | 3.12826i | 0.596540 | − | 0.153008i | ||||
\(419\) | 17.9498 | 0.876905 | 0.438453 | − | 0.898754i | \(-0.355527\pi\) | ||||
0.438453 | + | 0.898754i | \(0.355527\pi\) | |||||||
\(420\) | 0.353335 | − | 0.256713i | 0.0172410 | − | 0.0125263i | ||||
\(421\) | 16.7632 | − | 5.44671i | 0.816990 | − | 0.265456i | 0.129435 | − | 0.991588i | \(-0.458684\pi\) |
0.687556 | + | 0.726132i | \(0.258684\pi\) | |||||||
\(422\) | 28.1216 | + | 9.13726i | 1.36894 | + | 0.444795i | ||||
\(423\) | 4.29316 | − | 5.90902i | 0.208740 | − | 0.287307i | ||||
\(424\) | 12.2018 | − | 16.7944i | 0.592572 | − | 0.815606i | ||||
\(425\) | 21.2518 | − | 65.4064i | 1.03087 | − | 3.17268i | ||||
\(426\) | −1.54409 | − | 4.75222i | −0.0748114 | − | 0.230246i | ||||
\(427\) | 2.27330 | + | 3.12893i | 0.110013 | + | 0.151420i | ||||
\(428\) | 0.347961 | 0.0168193 | ||||||||
\(429\) | −3.97168 | + | 11.2794i | −0.191755 | + | 0.544576i | ||||
\(430\) | 12.8508 | 0.619722 | ||||||||
\(431\) | −14.7231 | − | 20.2646i | −0.709187 | − | 0.976112i | −0.999814 | − | 0.0192755i | \(-0.993864\pi\) |
0.290627 | − | 0.956836i | \(-0.406136\pi\) | |||||||
\(432\) | 1.17803 | + | 3.62559i | 0.0566779 | + | 0.174437i | ||||
\(433\) | 0.518992 | − | 1.59729i | 0.0249411 | − | 0.0767610i | −0.937811 | − | 0.347146i | \(-0.887151\pi\) |
0.962752 | + | 0.270385i | \(0.0871509\pi\) | |||||||
\(434\) | 8.64896 | − | 11.9043i | 0.415163 | − | 0.571423i | ||||
\(435\) | −9.98402 | + | 13.7418i | −0.478697 | + | 0.658870i | ||||
\(436\) | 0.0175914 | + | 0.00571578i | 0.000842474 | + | 0.000273736i | ||||
\(437\) | −4.93390 | + | 1.60312i | −0.236021 | + | 0.0766877i | ||||
\(438\) | 6.19365 | − | 4.49995i | 0.295944 | − | 0.215016i | ||||
\(439\) | 13.6356 | 0.650792 | 0.325396 | − | 0.945578i | \(-0.394502\pi\) | ||||
0.325396 | + | 0.945578i | \(0.394502\pi\) | |||||||
\(440\) | −20.6714 | − | 32.5907i | −0.985470 | − | 1.55370i | ||||
\(441\) | 5.54501 | 0.264048 | ||||||||
\(442\) | −30.4923 | + | 1.17998i | −1.45037 | + | 0.0561258i | ||||
\(443\) | 3.94742 | + | 12.1489i | 0.187548 | + | 0.577213i | 0.999983 | − | 0.00583884i | \(-0.00185857\pi\) |
−0.812435 | + | 0.583052i | \(0.801859\pi\) | |||||||
\(444\) | −0.957133 | − | 0.310991i | −0.0454235 | − | 0.0147590i | ||||
\(445\) | −20.4335 | − | 14.8458i | −0.968639 | − | 0.703757i | ||||
\(446\) | 6.23443 | + | 4.52958i | 0.295209 | + | 0.214482i | ||||
\(447\) | 14.1424 | + | 4.59515i | 0.668914 | + | 0.217343i | ||||
\(448\) | 9.55206 | − | 3.10365i | 0.451293 | − | 0.146634i | ||||
\(449\) | −21.0770 | − | 29.0100i | −0.994684 | − | 1.36907i | −0.928530 | − | 0.371256i | \(-0.878927\pi\) |
−0.0661541 | − | 0.997809i | \(-0.521073\pi\) | |||||||
\(450\) | 15.5215i | 0.731689i | ||||||||
\(451\) | −5.94675 | + | 15.0089i | −0.280021 | + | 0.706743i | ||||
\(452\) | −0.924686 | −0.0434936 | ||||||||
\(453\) | 1.94338 | + | 2.67483i | 0.0913078 | + | 0.125674i | ||||
\(454\) | −8.61285 | − | 26.5076i | −0.404221 | − | 1.24406i | ||||
\(455\) | −10.8393 | − | 13.7663i | −0.508152 | − | 0.645373i | ||||
\(456\) | 6.41866 | + | 4.66343i | 0.300581 | + | 0.218385i | ||||
\(457\) | −6.89131 | + | 9.48507i | −0.322362 | + | 0.443693i | −0.939186 | − | 0.343408i | \(-0.888419\pi\) |
0.616825 | + | 0.787101i | \(0.288419\pi\) | |||||||
\(458\) | 2.95990 | − | 9.10964i | 0.138307 | − | 0.425666i | ||||
\(459\) | 1.89232 | + | 5.82396i | 0.0883260 | + | 0.271839i | ||||
\(460\) | 0.401944 | + | 0.553229i | 0.0187407 | + | 0.0257944i | ||||
\(461\) | − | 15.8709i | − | 0.739182i | −0.929195 | − | 0.369591i | \(-0.879498\pi\) | ||
0.929195 | − | 0.369591i | \(-0.120502\pi\) | |||||||
\(462\) | −0.348540 | + | 5.51815i | −0.0162156 | + | 0.256728i | ||||
\(463\) | 17.5358i | 0.814957i | 0.913215 | + | 0.407478i | \(0.133592\pi\) | ||||
−0.913215 | + | 0.407478i | \(0.866408\pi\) | |||||||
\(464\) | −13.0032 | + | 9.44738i | −0.603659 | + | 0.438584i | ||||
\(465\) | −10.9884 | − | 33.8187i | −0.509573 | − | 1.56830i | ||||
\(466\) | −26.6827 | − | 8.66972i | −1.23605 | − | 0.401617i | ||||
\(467\) | 9.68859 | + | 7.03917i | 0.448335 | + | 0.325734i | 0.788938 | − | 0.614473i | \(-0.210631\pi\) |
−0.340603 | + | 0.940207i | \(0.610631\pi\) | |||||||
\(468\) | −0.304081 | + | 0.111977i | −0.0140562 | + | 0.00517614i | ||||
\(469\) | 4.36189 | − | 13.4245i | 0.201414 | − | 0.619887i | ||||
\(470\) | 38.6778 | − | 12.5672i | 1.78408 | − | 0.579681i | ||||
\(471\) | 19.5716 | − | 14.2196i | 0.901811 | − | 0.655204i | ||||
\(472\) | −17.0983 | −0.787013 | ||||||||
\(473\) | 4.88076 | − | 5.89686i | 0.224418 | − | 0.271138i | ||||
\(474\) | − | 16.4307i | − | 0.754689i | ||||||
\(475\) | 18.1324 | + | 24.9572i | 0.831973 | + | 1.14511i | ||||
\(476\) | 0.631365 | − | 0.205143i | 0.0289386 | − | 0.00940272i | ||||
\(477\) | −2.22094 | + | 6.83535i | −0.101690 | + | 0.312969i | ||||
\(478\) | −6.98376 | − | 5.07400i | −0.319430 | − | 0.232079i | ||||
\(479\) | 6.48731 | − | 8.92901i | 0.296413 | − | 0.407977i | −0.634671 | − | 0.772782i | \(-0.718864\pi\) |
0.931084 | + | 0.364805i | \(0.118864\pi\) | |||||||
\(480\) | 0.632443 | − | 1.94646i | 0.0288670 | − | 0.0888434i | ||||
\(481\) | −10.9822 | + | 38.8521i | −0.500747 | + | 1.77150i | ||||
\(482\) | 7.18424 | − | 5.21966i | 0.327233 | − | 0.237749i | ||||
\(483\) | − | 2.27813i | − | 0.103659i | ||||||
\(484\) | −0.980751 | − | 0.124390i | −0.0445796 | − | 0.00565408i | ||||
\(485\) | −29.9397 | −1.35949 | ||||||||
\(486\) | −0.812362 | − | 1.11812i | −0.0368495 | − | 0.0507190i | ||||
\(487\) | −3.31635 | + | 1.07755i | −0.150278 | + | 0.0488283i | −0.383190 | − | 0.923670i | \(-0.625175\pi\) |
0.232912 | + | 0.972498i | \(0.425175\pi\) | |||||||
\(488\) | 8.80776 | + | 2.86182i | 0.398709 | + | 0.129548i | ||||
\(489\) | 6.31460 | − | 8.69131i | 0.285556 | − | 0.393034i | ||||
\(490\) | 24.9780 | + | 18.1476i | 1.12839 | + | 0.819824i | ||||
\(491\) | −8.59803 | + | 26.4620i | −0.388023 | + | 1.19421i | 0.546240 | + | 0.837629i | \(0.316059\pi\) |
−0.934263 | + | 0.356584i | \(0.883941\pi\) | |||||||
\(492\) | −0.416059 | + | 0.135186i | −0.0187574 | + | 0.00609465i | ||||
\(493\) | −20.8877 | + | 15.1758i | −0.940733 | + | 0.683483i | ||||
\(494\) | 7.61135 | − | 11.3766i | 0.342451 | − | 0.511858i | ||||
\(495\) | 10.2933 | + | 8.51964i | 0.462649 | + | 0.382929i | ||||
\(496\) | − | 33.6478i | − | 1.51083i | ||||||
\(497\) | 3.52815 | − | 2.56335i | 0.158259 | − | 0.114982i | ||||
\(498\) | 0.354335 | + | 1.09053i | 0.0158781 | + | 0.0488679i | ||||
\(499\) | −26.9933 | − | 8.77067i | −1.20839 | − | 0.392629i | −0.365548 | − | 0.930793i | \(-0.619118\pi\) |
−0.842840 | + | 0.538164i | \(0.819118\pi\) | |||||||
\(500\) | 1.32600 | − | 1.82509i | 0.0593007 | − | 0.0816204i | ||||
\(501\) | 4.41029 | − | 6.07025i | 0.197037 | − | 0.271199i | ||||
\(502\) | −10.1530 | − | 3.29889i | −0.453148 | − | 0.147237i | ||||
\(503\) | −3.20690 | − | 9.86982i | −0.142989 | − | 0.440074i | 0.853758 | − | 0.520670i | \(-0.174318\pi\) |
−0.996747 | + | 0.0805959i | \(0.974318\pi\) | |||||||
\(504\) | −2.81864 | + | 2.04786i | −0.125552 | + | 0.0912189i | ||||
\(505\) | 63.8130i | 2.83964i | ||||||||
\(506\) | −8.63995 | − | 0.545721i | −0.384093 | − | 0.0242603i | ||||
\(507\) | 4.96067 | + | 12.0163i | 0.220311 | + | 0.533663i | ||||
\(508\) | −0.413867 | + | 0.300692i | −0.0183624 | + | 0.0133410i | ||||
\(509\) | −9.51701 | + | 3.09226i | −0.421834 | + | 0.137062i | −0.512239 | − | 0.858843i | \(-0.671184\pi\) |
0.0904051 | + | 0.995905i | \(0.471184\pi\) | |||||||
\(510\) | −10.5364 | + | 32.4277i | −0.466560 | + | 1.43592i | ||||
\(511\) | 5.40563 | + | 3.92742i | 0.239131 | + | 0.173739i | ||||
\(512\) | 14.0824 | − | 19.3828i | 0.622362 | − | 0.856608i | ||||
\(513\) | −2.61241 | − | 0.848825i | −0.115341 | − | 0.0374765i | ||||
\(514\) | −22.9173 | + | 7.44627i | −1.01084 | + | 0.328441i | ||||
\(515\) | 3.17964 | + | 4.37640i | 0.140112 | + | 0.192847i | ||||
\(516\) | 0.207427 | 0.00913145 | ||||||||
\(517\) | 8.92318 | − | 22.5211i | 0.392441 | − | 0.990479i | ||||
\(518\) | 18.6679i | 0.820221i | ||||||||
\(519\) | −18.8718 | + | 13.7112i | −0.828381 | + | 0.601854i | ||||
\(520\) | −40.3736 | − | 11.4123i | −1.77050 | − | 0.500464i | ||||
\(521\) | −12.8025 | + | 39.4020i | −0.560887 | + | 1.72623i | 0.118979 | + | 0.992897i | \(0.462038\pi\) |
−0.679866 | + | 0.733336i | \(0.737962\pi\) | |||||||
\(522\) | 3.42507 | − | 4.71421i | 0.149911 | − | 0.206335i | ||||
\(523\) | −31.9726 | − | 23.2295i | −1.39807 | − | 1.01575i | −0.994925 | − | 0.100616i | \(-0.967919\pi\) |
−0.403140 | − | 0.915138i | \(-0.632081\pi\) | |||||||
\(524\) | 0.0158101 | − | 0.0486584i | 0.000690666 | − | 0.00212565i | ||||
\(525\) | −12.8836 | + | 4.18615i | −0.562288 | + | 0.182699i | ||||
\(526\) | 3.91405 | + | 5.38723i | 0.170661 | + | 0.234894i | ||||
\(527\) | − | 54.0500i | − | 2.35445i | ||||||
\(528\) | 6.77212 | + | 10.6770i | 0.294719 | + | 0.464656i | ||||
\(529\) | −19.4330 | −0.844915 | ||||||||
\(530\) | −32.3750 | + | 23.5218i | −1.40628 | + | 1.02172i | ||||
\(531\) | 5.63000 | − | 1.82930i | 0.244321 | − | 0.0793847i | ||||
\(532\) | −0.0920196 | + | 0.283207i | −0.00398955 | + | 0.0122786i | ||||
\(533\) | 6.06478 | + | 16.4693i | 0.262695 | + | 0.713365i | ||||
\(534\) | 7.00981 | + | 5.09292i | 0.303344 | + | 0.220392i | ||||
\(535\) | −14.8345 | − | 4.82002i | −0.641351 | − | 0.208387i | ||||
\(536\) | −10.4447 | − | 32.1455i | −0.451142 | − | 1.38847i | ||||
\(537\) | 16.4307 | − | 11.9376i | 0.709037 | − | 0.515145i | ||||
\(538\) | − | 9.78390i | − | 0.421814i | ||||||
\(539\) | 17.8141 | − | 4.56918i | 0.767306 | − | 0.196809i | ||||
\(540\) | 0.362075i | 0.0155812i | ||||||||
\(541\) | −0.831289 | − | 1.14417i | −0.0357399 | − | 0.0491918i | 0.790773 | − | 0.612109i | \(-0.209679\pi\) |
−0.826513 | + | 0.562918i | \(0.809679\pi\) | |||||||
\(542\) | 11.8147 | + | 36.3619i | 0.507485 | + | 1.56188i | ||||
\(543\) | 4.88586 | − | 15.0371i | 0.209672 | − | 0.645305i | ||||
\(544\) | 1.82854 | − | 2.51676i | 0.0783978 | − | 0.107905i | ||||
\(545\) | −0.670789 | − | 0.487357i | −0.0287335 | − | 0.0208761i | ||||
\(546\) | 3.71847 | + | 4.72260i | 0.159136 | + | 0.202108i | ||||
\(547\) | 7.08478 | + | 21.8047i | 0.302923 | + | 0.932303i | 0.980444 | + | 0.196799i | \(0.0630545\pi\) |
−0.677520 | + | 0.735504i | \(0.736945\pi\) | |||||||
\(548\) | 0.310261 | + | 0.427037i | 0.0132537 | + | 0.0182421i | ||||
\(549\) | −3.20633 | −0.136843 | ||||||||
\(550\) | 12.7900 | + | 49.8647i | 0.545366 | + | 2.12624i | ||||
\(551\) | − | 11.5813i | − | 0.493378i | ||||||
\(552\) | −3.20640 | − | 4.41324i | −0.136474 | − | 0.187840i | ||||
\(553\) | 13.6384 | − | 4.43138i | 0.579963 | − | 0.188441i | ||||
\(554\) | 5.15537 | + | 1.67508i | 0.219031 | + | 0.0711674i | ||||
\(555\) | 36.4971 | + | 26.5167i | 1.54922 | + | 1.12557i | ||||
\(556\) | 1.15320 | + | 0.837849i | 0.0489066 | + | 0.0355327i | ||||
\(557\) | 5.33826 | + | 1.73451i | 0.226189 | + | 0.0734934i | 0.419919 | − | 0.907562i | \(-0.362058\pi\) |
−0.193730 | + | 0.981055i | \(0.562058\pi\) | |||||||
\(558\) | 3.76961 | + | 11.6017i | 0.159580 | + | 0.491138i | ||||
\(559\) | −0.321783 | − | 8.31534i | −0.0136100 | − | 0.351701i | ||||
\(560\) | −18.5255 | −0.782846 | ||||||||
\(561\) | 10.8784 | + | 17.1509i | 0.459285 | + | 0.724113i | ||||
\(562\) | −3.11005 | −0.131189 | ||||||||
\(563\) | 0.452132 | − | 0.328493i | 0.0190551 | − | 0.0138443i | −0.578217 | − | 0.815883i | \(-0.696251\pi\) |
0.597272 | + | 0.802039i | \(0.296251\pi\) | |||||||
\(564\) | 0.624304 | − | 0.202849i | 0.0262879 | − | 0.00854147i | ||||
\(565\) | 39.4218 | + | 12.8089i | 1.65849 | + | 0.538875i | ||||
\(566\) | −1.96790 | + | 2.70858i | −0.0827169 | + | 0.113850i | ||||
\(567\) | 0.709005 | − | 0.975862i | 0.0297754 | − | 0.0409823i | ||||
\(568\) | 3.22695 | − | 9.93154i | 0.135400 | − | 0.416718i | ||||
\(569\) | −6.93081 | − | 21.3308i | −0.290555 | − | 0.894235i | −0.984678 | − | 0.174380i | \(-0.944208\pi\) |
0.694124 | − | 0.719856i | \(-0.255792\pi\) | |||||||
\(570\) | −8.98985 | − | 12.3735i | −0.376543 | − | 0.518267i | ||||
\(571\) | −21.7285 | −0.909310 | −0.454655 | − | 0.890668i | \(-0.650237\pi\) | ||||
−0.454655 | + | 0.890668i | \(0.650237\pi\) | |||||||
\(572\) | −0.884629 | + | 0.610309i | −0.0369882 | + | 0.0255183i | ||||
\(573\) | −9.20531 | −0.384557 | ||||||||
\(574\) | 4.76978 | + | 6.56503i | 0.199087 | + | 0.274019i | ||||
\(575\) | −6.55440 | − | 20.1724i | −0.273337 | − | 0.841245i | ||||
\(576\) | −2.57302 | + | 7.91893i | −0.107209 | + | 0.329956i | ||||
\(577\) | −8.05319 | + | 11.0843i | −0.335259 | + | 0.461444i | −0.943049 | − | 0.332653i | \(-0.892056\pi\) |
0.607790 | + | 0.794097i | \(0.292056\pi\) | |||||||
\(578\) | −16.6530 | + | 22.9208i | −0.692672 | + | 0.953382i | ||||
\(579\) | −18.8400 | − | 6.12149i | −0.782965 | − | 0.254401i | ||||
\(580\) | −1.45186 | + | 0.471738i | −0.0602852 | + | 0.0195878i | ||||
\(581\) | −0.809635 | + | 0.588234i | −0.0335893 | + | 0.0244041i | ||||
\(582\) | 10.2710 | 0.425745 | ||||||||
\(583\) | −1.50261 | + | 23.7896i | −0.0622317 | + | 0.985263i | ||||
\(584\) | 15.9996 | 0.662068 | ||||||||
\(585\) | 14.5149 | − | 0.561690i | 0.600117 | − | 0.0232230i | ||||
\(586\) | −0.683378 | − | 2.10322i | −0.0282301 | − | 0.0868832i | ||||
\(587\) | −30.1508 | − | 9.79660i | −1.24446 | − | 0.404349i | −0.388527 | − | 0.921438i | \(-0.627016\pi\) |
−0.855932 | + | 0.517088i | \(0.827016\pi\) | |||||||
\(588\) | 0.403173 | + | 0.292922i | 0.0166266 | + | 0.0120799i | ||||
\(589\) | 19.6145 | + | 14.2507i | 0.808200 | + | 0.587192i | ||||
\(590\) | 31.3477 | + | 10.1855i | 1.29057 | + | 0.419330i | ||||
\(591\) | −13.4660 | + | 4.37535i | −0.553915 | + | 0.179978i | ||||
\(592\) | 25.0915 | + | 34.5354i | 1.03125 | + | 1.41940i | ||||
\(593\) | − | 1.15348i | − | 0.0473678i | −0.999719 | − | 0.0236839i | \(-0.992460\pi\) | ||
0.999719 | − | 0.0236839i | \(-0.00753952\pi\) | |||||||
\(594\) | −3.53117 | − | 2.92271i | −0.144886 | − | 0.119920i | ||||
\(595\) | −29.7584 | −1.21998 | ||||||||
\(596\) | 0.785539 | + | 1.08120i | 0.0321769 | + | 0.0442877i | ||||
\(597\) | 1.41044 | + | 4.34088i | 0.0577253 | + | 0.177660i | ||||
\(598\) | −7.39433 | + | 5.82213i | −0.302377 | + | 0.238084i | ||||
\(599\) | 19.4132 | + | 14.1046i | 0.793204 | + | 0.576296i | 0.908913 | − | 0.416987i | \(-0.136914\pi\) |
−0.115709 | + | 0.993283i | \(0.536914\pi\) | |||||||
\(600\) | −19.0665 | + | 26.2428i | −0.778388 | + | 1.07136i | ||||
\(601\) | −6.25442 | + | 19.2491i | −0.255123 | + | 0.785188i | 0.738682 | + | 0.674054i | \(0.235448\pi\) |
−0.993805 | + | 0.111134i | \(0.964552\pi\) | |||||||
\(602\) | −1.18899 | − | 3.65933i | −0.0484595 | − | 0.149143i | ||||
\(603\) | 6.87830 | + | 9.46716i | 0.280106 | + | 0.385533i | ||||
\(604\) | 0.297146i | 0.0120907i | ||||||||
\(605\) | 40.0889 | + | 18.8886i | 1.62985 | + | 0.767930i | ||||
\(606\) | − | 21.8914i | − | 0.889276i | ||||||
\(607\) | 26.3862 | − | 19.1707i | 1.07098 | − | 0.778115i | 0.0948942 | − | 0.995487i | \(-0.469749\pi\) |
0.976089 | + | 0.217373i | \(0.0697487\pi\) | |||||||
\(608\) | 0.431212 | + | 1.32713i | 0.0174879 | + | 0.0538223i | ||||
\(609\) | 4.83678 | + | 1.57157i | 0.195996 | + | 0.0636831i | ||||
\(610\) | −14.4432 | − | 10.4936i | −0.584789 | − | 0.424874i | ||||
\(611\) | −9.10030 | − | 24.7125i | −0.368159 | − | 0.999759i | ||||
\(612\) | −0.170069 | + | 0.523420i | −0.00687465 | + | 0.0211580i | ||||
\(613\) | 6.43832 | − | 2.09194i | 0.260041 | − | 0.0844925i | −0.176095 | − | 0.984373i | \(-0.556347\pi\) |
0.436136 | + | 0.899881i | \(0.356347\pi\) | |||||||
\(614\) | 36.5549 | − | 26.5587i | 1.47524 | − | 1.07182i | ||||
\(615\) | 19.6103 | 0.790764 | ||||||||
\(616\) | −7.36777 | + | 8.90163i | −0.296856 | + | 0.358657i | ||||
\(617\) | 9.32838i | 0.375546i | 0.982212 | + | 0.187773i | \(0.0601270\pi\) | ||||
−0.982212 | + | 0.187773i | \(0.939873\pi\) | |||||||
\(618\) | −1.09079 | − | 1.50135i | −0.0438782 | − | 0.0603931i | ||||
\(619\) | 7.22172 | − | 2.34648i | 0.290266 | − | 0.0943130i | −0.160265 | − | 0.987074i | \(-0.551235\pi\) |
0.450531 | + | 0.892761i | \(0.351235\pi\) | |||||||
\(620\) | 0.987561 | − | 3.03940i | 0.0396614 | − | 0.122065i | ||||
\(621\) | 1.52794 | + | 1.11011i | 0.0613141 | + | 0.0445473i | ||||
\(622\) | 11.8907 | − | 16.3662i | 0.476775 | − | 0.656224i | ||||
\(623\) | −2.33685 | + | 7.19207i | −0.0936238 | + | 0.288144i | ||||
\(624\) | 13.2267 | + | 3.73877i | 0.529493 | + | 0.149671i | ||||
\(625\) | −36.3838 | + | 26.4344i | −1.45535 | + | 1.05738i | ||||
\(626\) | 5.29340i | 0.211567i | ||||||||
\(627\) | −9.09217 | − | 0.574284i | −0.363106 | − | 0.0229347i | ||||
\(628\) | 2.17420 | 0.0867601 | ||||||||
\(629\) | 40.3056 | + | 55.4759i | 1.60709 | + | 2.21197i | ||||
\(630\) | 6.38756 | − | 2.07544i | 0.254486 | − | 0.0826876i | ||||
\(631\) | −20.3261 | − | 6.60435i | −0.809169 | − | 0.262915i | −0.124923 | − | 0.992166i | \(-0.539868\pi\) |
−0.684246 | + | 0.729251i | \(0.739868\pi\) | |||||||
\(632\) | 20.1835 | − | 27.7801i | 0.802855 | − | 1.10503i | ||||
\(633\) | −17.3085 | − | 12.5754i | −0.687952 | − | 0.499827i | ||||
\(634\) | 13.5646 | − | 41.7476i | 0.538720 | − | 1.65801i | ||||
\(635\) | 21.8094 | − | 7.08632i | 0.865481 | − | 0.281212i | ||||
\(636\) | −0.522569 | + | 0.379669i | −0.0207212 | + | 0.0150548i | ||||
\(637\) | 11.1172 | − | 16.6168i | 0.440481 | − | 0.658383i | ||||
\(638\) | 7.11890 | − | 17.9673i | 0.281840 | − | 0.711333i | ||||
\(639\) | 3.61542i | 0.143024i | ||||||||
\(640\) | −34.1958 | + | 24.8447i | −1.35171 | + | 0.982073i | ||||
\(641\) | 8.24967 | + | 25.3899i | 0.325842 | + | 1.00284i | 0.971059 | + | 0.238840i | \(0.0767672\pi\) |
−0.645216 | + | 0.764000i | \(0.723233\pi\) | |||||||
\(642\) | 5.08905 | + | 1.65353i | 0.200849 | + | 0.0652597i | ||||
\(643\) | −11.1784 | + | 15.3858i | −0.440834 | + | 0.606756i | −0.970397 | − | 0.241514i | \(-0.922356\pi\) |
0.529563 | + | 0.848271i | \(0.322356\pi\) | |||||||
\(644\) | 0.120345 | − | 0.165641i | 0.00474227 | − | 0.00652718i | ||||
\(645\) | −8.84314 | − | 2.87331i | −0.348198 | − | 0.113136i | ||||
\(646\) | −7.18392 | − | 22.1098i | −0.282648 | − | 0.869900i | ||||
\(647\) | 9.88111 | − | 7.17905i | 0.388467 | − | 0.282238i | −0.376360 | − | 0.926473i | \(-0.622824\pi\) |
0.764827 | + | 0.644236i | \(0.222824\pi\) | |||||||
\(648\) | − | 2.88836i | − | 0.113465i | ||||||
\(649\) | 16.5797 | − | 10.5161i | 0.650811 | − | 0.412792i | ||||
\(650\) | 46.5135 | + | 31.1192i | 1.82441 | + | 1.22059i | ||||
\(651\) | −8.61334 | + | 6.25796i | −0.337583 | + | 0.245269i | ||||
\(652\) | 0.918259 | − | 0.298360i | 0.0359618 | − | 0.0116847i | ||||
\(653\) | 2.79215 | − | 8.59336i | 0.109265 | − | 0.336284i | −0.881443 | − | 0.472291i | \(-0.843427\pi\) |
0.990708 | + | 0.136007i | \(0.0434270\pi\) | |||||||
\(654\) | 0.230118 | + | 0.167190i | 0.00899832 | + | 0.00653766i | ||||
\(655\) | −1.34805 | + | 1.85543i | −0.0526726 | + | 0.0724976i | ||||
\(656\) | 17.6481 | + | 5.73420i | 0.689041 | + | 0.223883i | ||||
\(657\) | −5.26823 | + | 1.71175i | −0.205533 | + | 0.0667818i | ||||
\(658\) | −7.15712 | − | 9.85093i | −0.279014 | − | 0.384029i | ||||
\(659\) | −37.2830 | −1.45234 | −0.726169 | − | 0.687516i | \(-0.758701\pi\) | ||||
−0.726169 | + | 0.687516i | \(0.758701\pi\) | |||||||
\(660\) | 0.298356 | + | 1.16321i | 0.0116135 | + | 0.0452780i | ||||
\(661\) | 18.4601i | 0.718014i | 0.933335 | + | 0.359007i | \(0.116885\pi\) | ||||
−0.933335 | + | 0.359007i | \(0.883115\pi\) | |||||||
\(662\) | 3.84691 | − | 2.79494i | 0.149514 | − | 0.108628i | ||||
\(663\) | 21.2467 | + | 6.00577i | 0.825155 | + | 0.233245i | ||||
\(664\) | −0.740516 | + | 2.27907i | −0.0287376 | + | 0.0884452i | ||||
\(665\) | 7.84606 | − | 10.7992i | 0.304257 | − | 0.418774i | ||||
\(666\) | −12.5205 | − | 9.09671i | −0.485161 | − | 0.352490i | ||||
\(667\) | −2.46066 | + | 7.57312i | −0.0952770 | + | 0.293232i | ||||
\(668\) | 0.641338 | − | 0.208383i | 0.0248141 | − | 0.00806259i | ||||
\(669\) | −3.27738 | − | 4.51092i | −0.126711 | − | 0.174402i | ||||
\(670\) | 65.1568i | 2.51723i | ||||||||
\(671\) | −10.3008 | + | 2.64207i | −0.397656 | + | 0.101996i | ||||
\(672\) | −0.612778 | −0.0236384 | ||||||||
\(673\) | 9.50624 | − | 6.90669i | 0.366439 | − | 0.266233i | −0.389294 | − | 0.921114i | \(-0.627281\pi\) |
0.755733 | + | 0.654880i | \(0.227281\pi\) | |||||||
\(674\) | 14.1042 | − | 4.58274i | 0.543275 | − | 0.176521i | ||||
\(675\) | 3.47044 | − | 10.6809i | 0.133577 | − | 0.411108i | ||||
\(676\) | −0.274091 | + | 1.13575i | −0.0105420 | + | 0.0436827i | ||||
\(677\) | −19.6321 | − | 14.2635i | −0.754522 | − | 0.548192i | 0.142703 | − | 0.989766i | \(-0.454421\pi\) |
−0.897225 | + | 0.441573i | \(0.854421\pi\) | |||||||
\(678\) | −13.5238 | − | 4.39416i | −0.519380 | − | 0.168757i | ||||
\(679\) | 2.77009 | + | 8.52545i | 0.106306 | + | 0.327177i | ||||
\(680\) | −57.6485 | + | 41.8841i | −2.21072 | + | 1.60618i | ||||
\(681\) | 20.1666i | 0.772787i | ||||||||
\(682\) | 21.6704 | + | 34.1657i | 0.829801 | + | 1.30827i | ||||
\(683\) | − | 3.95235i | − | 0.151232i | −0.997137 | − | 0.0756162i | \(-0.975908\pi\) | ||
0.997137 | − | 0.0756162i | \(-0.0240924\pi\) | |||||||
\(684\) | −0.145106 | − | 0.199721i | −0.00554827 | − | 0.00763654i | ||||
\(685\) | −7.31183 | − | 22.5035i | −0.279371 | − | 0.859814i | ||||
\(686\) | 6.46271 | − | 19.8902i | 0.246748 | − | 0.759411i | ||||
\(687\) | −4.07364 | + | 5.60689i | −0.155419 | + | 0.213916i | ||||
\(688\) | −7.11809 | − | 5.17160i | −0.271375 | − | 0.197165i | ||||
\(689\) | 16.0309 | + | 20.3598i | 0.610727 | + | 0.775647i | ||||
\(690\) | 3.24959 | + | 10.0012i | 0.123710 | + | 0.380740i | ||||
\(691\) | 6.37176 | + | 8.76997i | 0.242393 | + | 0.333625i | 0.912829 | − | 0.408342i | \(-0.133893\pi\) |
−0.670436 | + | 0.741967i | \(0.733893\pi\) | |||||||
\(692\) | −2.09647 | −0.0796957 | ||||||||
\(693\) | 1.47364 | − | 3.71932i | 0.0559791 | − | 0.141285i | ||||
\(694\) | 9.23175i | 0.350433i | ||||||||
\(695\) | −37.5579 | − | 51.6940i | −1.42465 | − | 1.96087i | ||||
\(696\) | 11.5818 | − | 3.76317i | 0.439008 | − | 0.142642i | ||||
\(697\) | 28.3489 | + | 9.21112i | 1.07379 | + | 0.348896i | ||||
\(698\) | −4.61392 | − | 3.35221i | −0.174639 | − | 0.126883i | ||||
\(699\) | 16.4229 | + | 11.9319i | 0.621170 | + | 0.451307i | ||||
\(700\) | −1.15790 | − | 0.376224i | −0.0437644 | − | 0.0142199i | ||||
\(701\) | −1.25374 | − | 3.85860i | −0.0473530 | − | 0.145737i | 0.924584 | − | 0.380977i | \(-0.124412\pi\) |
−0.971937 | + | 0.235240i | \(0.924412\pi\) | |||||||
\(702\) | −4.97941 | + | 0.192691i | −0.187936 | + | 0.00727265i | ||||
\(703\) | −30.7588 | −1.16009 | ||||||||
\(704\) | −1.74081 | + | 27.5608i | −0.0656093 | + | 1.03874i | ||||
\(705\) | −29.4256 | −1.10823 | ||||||||
\(706\) | −8.59078 | + | 6.24156i | −0.323318 | + | 0.234904i | ||||
\(707\) | 18.1710 | − | 5.90412i | 0.683391 | − | 0.222047i | ||||
\(708\) | 0.505988 | + | 0.164405i | 0.0190162 | + | 0.00617873i | ||||
\(709\) | −3.70434 | + | 5.09858i | −0.139119 | + | 0.191481i | −0.872892 | − | 0.487914i | \(-0.837758\pi\) |
0.733772 | + | 0.679395i | \(0.237758\pi\) | |||||||
\(710\) | −11.8325 | + | 16.2860i | −0.444065 | + | 0.611203i | ||||
\(711\) | −3.67374 | + | 11.3066i | −0.137776 | + | 0.424031i | ||||
\(712\) | 5.59565 | + | 17.2216i | 0.209706 | + | 0.645408i | ||||
\(713\) | −9.79830 | − | 13.4862i | −0.366949 | − | 0.505062i | ||||
\(714\) | 10.2088 | 0.382054 | ||||||||
\(715\) | 46.1681 | − | 13.7650i | 1.72659 | − | 0.514783i | ||||
\(716\) | 1.82528 | 0.0682140 | ||||||||
\(717\) | 3.67130 | + | 5.05311i | 0.137107 | + | 0.188712i | ||||
\(718\) | 9.04956 | + | 27.8517i | 0.337727 | + | 1.03942i | ||||
\(719\) | −13.4155 | + | 41.2886i | −0.500313 | + | 1.53980i | 0.308198 | + | 0.951322i | \(0.400274\pi\) |
−0.808511 | + | 0.588482i | \(0.799726\pi\) | |||||||
\(720\) | 9.02731 | − | 12.4250i | 0.336428 | − | 0.463054i | ||||
\(721\) | 0.952011 | − | 1.31033i | 0.0354548 | − | 0.0487993i | ||||
\(722\) | −15.0565 | − | 4.89216i | −0.560346 | − | 0.182067i | ||||
\(723\) | −6.11081 | + | 1.98552i | −0.227263 | + | 0.0738424i | ||||
\(724\) | 1.14960 | − | 0.835235i | 0.0427246 | − | 0.0310413i | ||||
\(725\) | 47.3502 | 1.75854 | ||||||||
\(726\) | −13.7527 | − | 6.47983i | −0.510411 | − | 0.240489i | ||||
\(727\) | −26.7657 | −0.992684 | −0.496342 | − | 0.868127i | \(-0.665324\pi\) | ||||
−0.496342 | + | 0.868127i | \(0.665324\pi\) | |||||||
\(728\) | 0.485749 | + | 12.5524i | 0.0180030 | + | 0.465225i | ||||
\(729\) | 0.309017 | + | 0.951057i | 0.0114451 | + | 0.0352243i | ||||
\(730\) | −29.3334 | − | 9.53100i | −1.08568 | − | 0.352758i | ||||
\(731\) | −11.4341 | − | 8.30738i | −0.422907 | − | 0.307260i | ||||
\(732\) | −0.233130 | − | 0.169379i | −0.00861672 | − | 0.00626041i | ||||
\(733\) | −43.0674 | − | 13.9934i | −1.59073 | − | 0.516860i | −0.625938 | − | 0.779873i | \(-0.715284\pi\) |
−0.964792 | + | 0.263013i | \(0.915284\pi\) | |||||||
\(734\) | 23.5364 | − | 7.64744i | 0.868744 | − | 0.282272i | ||||
\(735\) | −13.1307 | − | 18.0728i | −0.484333 | − | 0.666627i | ||||
\(736\) | − | 0.959447i | − | 0.0353657i | ||||||
\(737\) | 29.8985 | + | 24.7467i | 1.10133 | + | 0.911555i | ||||
\(738\) | −6.72742 | −0.247640 | ||||||||
\(739\) | −26.8554 | − | 36.9633i | −0.987893 | − | 1.35972i | −0.932467 | − | 0.361256i | \(-0.882348\pi\) |
−0.0554266 | − | 0.998463i | \(-0.517652\pi\) | |||||||
\(740\) | 1.25290 | + | 3.85602i | 0.0460574 | + | 0.141750i | ||||
\(741\) | −7.78135 | + | 6.12686i | −0.285855 | + | 0.225076i | ||||
\(742\) | 9.69335 | + | 7.04263i | 0.355854 | + | 0.258543i | ||||
\(743\) | −29.6142 | + | 40.7605i | −1.08644 | + | 1.49536i | −0.234215 | + | 0.972185i | \(0.575252\pi\) |
−0.852227 | + | 0.523173i | \(0.824748\pi\) | |||||||
\(744\) | −7.87801 | + | 24.2460i | −0.288822 | + | 0.888903i | ||||
\(745\) | −18.5126 | − | 56.9758i | −0.678248 | − | 2.08743i | ||||
\(746\) | 1.06735 | + | 1.46908i | 0.0390784 | + | 0.0537869i | ||||
\(747\) | − | 0.829661i | − | 0.0303557i | ||||||
\(748\) | −0.115063 | + | 1.82170i | −0.00420712 | + | 0.0666078i | ||||
\(749\) | 4.67014i | 0.170643i | ||||||||
\(750\) | 28.0662 | − | 20.3913i | 1.02483 | − | 0.744584i | ||||
\(751\) | −13.5017 | − | 41.5541i | −0.492686 | − | 1.51633i | −0.820533 | − | 0.571600i | \(-0.806323\pi\) |
0.327847 | − | 0.944731i | \(-0.393677\pi\) | |||||||
\(752\) | −26.4812 | − | 8.60426i | −0.965669 | − | 0.313765i | ||||
\(753\) | 6.24903 | + | 4.54019i | 0.227727 | + | 0.165454i | ||||
\(754\) | −7.26020 | − | 19.7155i | −0.264401 | − | 0.717998i | ||||
\(755\) | 4.11612 | − | 12.6681i | 0.149801 | − | 0.461040i | ||||
\(756\) | 0.103102 | − | 0.0335000i | 0.00374980 | − | 0.00121838i | ||||
\(757\) | 22.9098 | − | 16.6449i | 0.832669 | − | 0.604970i | −0.0876439 | − | 0.996152i | \(-0.527934\pi\) |
0.920313 | + | 0.391182i | \(0.127934\pi\) | |||||||
\(758\) | 7.28238 | 0.264508 | ||||||||
\(759\) | 5.82346 | + | 2.30733i | 0.211378 | + | 0.0837509i | ||||
\(760\) | − | 31.9634i | − | 1.15944i | ||||||
\(761\) | −0.870746 | − | 1.19848i | −0.0315645 | − | 0.0434449i | 0.792943 | − | 0.609296i | \(-0.208548\pi\) |
−0.824508 | + | 0.565851i | \(0.808548\pi\) | |||||||
\(762\) | −7.48185 | + | 2.43100i | −0.271039 | + | 0.0880658i | ||||
\(763\) | −0.0767140 | + | 0.236101i | −0.00277723 | + | 0.00854745i | ||||
\(764\) | −0.669310 | − | 0.486282i | −0.0242148 | − | 0.0175931i | ||||
\(765\) | 14.5010 | − | 19.9589i | 0.524285 | − | 0.721616i | ||||
\(766\) | −7.05262 | + | 21.7057i | −0.254821 | + | 0.784260i | ||||
\(767\) | 5.80575 | − | 20.5391i | 0.209633 | − | 0.741624i | ||||
\(768\) | −1.74144 | + | 1.26523i | −0.0628389 | + | 0.0456552i | ||||
\(769\) | − | 27.8238i | − | 1.00335i | −0.865056 | − | 0.501676i | \(-0.832717\pi\) | ||
0.865056 | − | 0.501676i | \(-0.167283\pi\) | |||||||
\(770\) | 18.8107 | − | 11.9311i | 0.677889 | − | 0.429967i | ||||
\(771\) | 17.4351 | 0.627911 | ||||||||
\(772\) | −1.04647 | − | 1.44034i | −0.0376632 | − | 0.0518389i | ||||
\(773\) | −34.2269 | + | 11.1210i | −1.23106 | + | 0.399995i | −0.851097 | − | 0.525008i | \(-0.824062\pi\) |
−0.379960 | + | 0.925003i | \(0.624062\pi\) | |||||||
\(774\) | 3.03369 | + | 0.985704i | 0.109044 | + | 0.0354304i | ||||
\(775\) | −58.2645 | + | 80.1942i | −2.09292 | + | 2.88066i | ||||
\(776\) | 17.3656 | + | 12.6168i | 0.623387 | + | 0.452917i | ||||
\(777\) | 4.17395 | − | 12.8461i | 0.149740 | − | 0.460851i | ||||
\(778\) | 6.76981 | − | 2.19964i | 0.242709 | − | 0.0788610i | ||||
\(779\) | −10.8171 | + | 7.85908i | −0.387563 | + | 0.281581i | ||||
\(780\) | 1.08504 | + | 0.725928i | 0.0388506 | + | 0.0259924i | ||||
\(781\) | 2.97917 | + | 11.6150i | 0.106603 | + | 0.415618i | ||||
\(782\) | 15.9842i | 0.571595i | ||||||||
\(783\) | −3.41097 | + | 2.47821i | −0.121898 | + | 0.0885641i | ||||
\(784\) | −6.53217 | − | 20.1039i | −0.233292 | − | 0.717998i | ||||
\(785\) | −92.6919 | − | 30.1174i | −3.30831 | − | 1.07494i | ||||
\(786\) | 0.462455 | − | 0.636515i | 0.0164952 | − | 0.0227037i | ||||
\(787\) | −21.6064 | + | 29.7387i | −0.770187 | + | 1.06007i | 0.226111 | + | 0.974102i | \(0.427399\pi\) |
−0.996298 | + | 0.0859695i | \(0.972601\pi\) | |||||||
\(788\) | −1.21023 | − | 0.393228i | −0.0431127 | − | 0.0140082i | ||||
\(789\) | −1.48888 | − | 4.58230i | −0.0530055 | − | 0.163134i | ||||
\(790\) | −53.5527 | + | 38.9083i | −1.90532 | + | 1.38430i | ||||
\(791\) | − | 12.4106i | − | 0.441271i | ||||||
\(792\) | −2.38006 | − | 9.27923i | −0.0845717 | − | 0.329723i | ||||
\(793\) | −6.42841 | + | 9.60848i | −0.228279 | + | 0.341207i | ||||
\(794\) | 28.1783 | − | 20.4727i | 1.00001 | − | 0.726550i | ||||
\(795\) | 27.5377 | − | 8.94754i | 0.976662 | − | 0.317337i | ||||
\(796\) | −0.126761 | + | 0.390130i | −0.00449292 | + | 0.0138278i | ||||
\(797\) | −28.5786 | − | 20.7636i | −1.01231 | − | 0.735485i | −0.0476158 | − | 0.998866i | \(-0.515162\pi\) |
−0.964692 | + | 0.263381i | \(0.915162\pi\) | |||||||
\(798\) | −2.69163 | + | 3.70472i | −0.0952828 | + | 0.131146i | ||||
\(799\) | −42.5380 | − | 13.8214i | −1.50489 | − | 0.488967i | ||||
\(800\) | −5.42601 | + | 1.76302i | −0.191838 | + | 0.0623321i | ||||
\(801\) | −3.68499 | − | 5.07195i | −0.130203 | − | 0.179209i | ||||
\(802\) | 22.3056 | 0.787637 | ||||||||
\(803\) | −15.5144 | + | 9.84034i | −0.547490 | + | 0.347258i | ||||
\(804\) | 1.05170i | 0.0370908i | ||||||||
\(805\) | −7.42512 | + | 5.39467i | −0.261701 | + | 0.190137i | ||||
\(806\) | 42.3247 | + | 11.9638i | 1.49082 | + | 0.421408i | ||||
\(807\) | −2.18758 | + | 6.73267i | −0.0770063 | + | 0.237001i | ||||
\(808\) | 26.8913 | − | 37.0127i | 0.946032 | − | 1.30210i | ||||
\(809\) | 30.7127 | + | 22.3141i | 1.07980 | + | 0.784522i | 0.977648 | − | 0.210247i | \(-0.0674268\pi\) |
0.102153 | + | 0.994769i | \(0.467427\pi\) | |||||||
\(810\) | −1.72060 | + | 5.29547i | −0.0604558 | + | 0.186064i | ||||
\(811\) | 29.7976 | − | 9.68181i | 1.04633 | − | 0.339974i | 0.265105 | − | 0.964219i | \(-0.414593\pi\) |
0.781229 | + | 0.624245i | \(0.214593\pi\) | |||||||
\(812\) | 0.268659 | + | 0.369777i | 0.00942807 | + | 0.0129766i | ||||
\(813\) | − | 27.6637i | − | 0.970207i | ||||||
\(814\) | −47.7197 | − | 18.9072i | −1.67258 | − | 0.662697i | ||||
\(815\) | −43.2807 | −1.51606 | ||||||||
\(816\) | 18.8861 | − | 13.7216i | 0.661147 | − | 0.480351i | ||||
\(817\) | 6.02941 | − | 1.95908i | 0.210942 | − | 0.0685394i | ||||
\(818\) | −13.8873 | + | 42.7408i | −0.485559 | + | 1.49440i | ||||
\(819\) | −1.50289 | − | 4.08120i | −0.0525153 | − | 0.142609i | ||||
\(820\) | 1.42585 | + | 1.03594i | 0.0497928 | + | 0.0361766i | ||||
\(821\) | 34.5595 | + | 11.2291i | 1.20614 | + | 0.391897i | 0.842015 | − | 0.539454i | \(-0.181369\pi\) |
0.364121 | + | 0.931352i | \(0.381369\pi\) | |||||||
\(822\) | 2.50836 | + | 7.71994i | 0.0874891 | + | 0.269264i | ||||
\(823\) | −32.7714 | + | 23.8098i | −1.14234 | + | 0.829958i | −0.987443 | − | 0.157973i | \(-0.949504\pi\) |
−0.154895 | + | 0.987931i | \(0.549504\pi\) | |||||||
\(824\) | − | 3.87832i | − | 0.135108i | ||||||
\(825\) | 2.34797 | − | 37.1735i | 0.0817459 | − | 1.29422i | ||||
\(826\) | − | 9.86878i | − | 0.343379i | ||||||
\(827\) | −13.0131 | − | 17.9110i | −0.452509 | − | 0.622825i | 0.520425 | − | 0.853907i | \(-0.325773\pi\) |
−0.972934 | + | 0.231082i | \(0.925773\pi\) | |||||||
\(828\) | 0.0524520 | + | 0.161431i | 0.00182283 | + | 0.00561011i | ||||
\(829\) | 10.6552 | − | 32.7935i | 0.370072 | − | 1.13896i | −0.576672 | − | 0.816976i | \(-0.695649\pi\) |
0.946744 | − | 0.321988i | \(-0.104351\pi\) | |||||||
\(830\) | 2.71530 | − | 3.73729i | 0.0942494 | − | 0.129723i | ||||
\(831\) | −3.17307 | − | 2.30537i | −0.110073 | − | 0.0799725i | ||||
\(832\) | 18.5722 | + | 23.5874i | 0.643874 | + | 0.817745i | ||||
\(833\) | −10.4929 | − | 32.2939i | −0.363558 | − | 1.11892i | ||||
\(834\) | 12.8844 | + | 17.7339i | 0.446152 | + | 0.614075i | ||||
\(835\) | −30.2284 | −1.04610 | ||||||||
\(836\) | −0.630747 | − | 0.522061i | −0.0218148 | − | 0.0180559i | ||||
\(837\) | − | 8.82639i | − | 0.305085i | ||||||
\(838\) | 14.5817 | + | 20.0700i | 0.503718 | + | 0.693308i | ||||
\(839\) | 32.3571 | − | 10.5135i | 1.11709 | − | 0.362965i | 0.308434 | − | 0.951246i | \(-0.400195\pi\) |
0.808656 | + | 0.588281i | \(0.200195\pi\) | |||||||
\(840\) | 13.3492 | + | 4.33741i | 0.460591 | + | 0.149655i | ||||
\(841\) | 9.08022 | + | 6.59716i | 0.313111 | + | 0.227488i | ||||
\(842\) | 19.7079 | + | 14.3186i | 0.679179 | + | 0.493452i | ||||
\(843\) | 2.14014 | + | 0.695373i | 0.0737103 | + | 0.0239499i | ||||
\(844\) | −0.594178 | − | 1.82869i | −0.0204524 | − | 0.0629461i | ||||
\(845\) | 27.4178 | − | 44.6232i | 0.943202 | − | 1.53508i | ||||
\(846\) | 10.0946 | 0.347059 | ||||||||
\(847\) | 1.66949 | − | 13.1631i | 0.0573643 | − | 0.452289i | ||||
\(848\) | 27.3985 | 0.940870 | ||||||||
\(849\) | 1.95979 | − | 1.42387i | 0.0672600 | − | 0.0488672i | ||||
\(850\) | 90.3965 | − | 29.3716i | 3.10057 | − | 1.00744i | ||||
\(851\) | 20.1136 | + | 6.53530i | 0.689484 | + | 0.224027i | ||||
\(852\) | −0.190989 | + | 0.262874i | −0.00654319 | + | 0.00900593i | ||||
\(853\) | 7.20089 | − | 9.91117i | 0.246554 | − | 0.339352i | −0.667747 | − | 0.744388i | \(-0.732741\pi\) |
0.914301 | + | 0.405036i | \(0.132741\pi\) | |||||||
\(854\) | −1.65178 | + | 5.08366i | −0.0565228 | + | 0.173959i | ||||
\(855\) | 3.41968 | + | 10.5247i | 0.116950 | + | 0.359936i | ||||
\(856\) | 6.57308 | + | 9.04707i | 0.224663 | + | 0.309223i | ||||
\(857\) | −4.19758 | −0.143386 | −0.0716932 | − | 0.997427i | \(-0.522840\pi\) | ||||
−0.0716932 | + | 0.997427i | \(0.522840\pi\) | |||||||
\(858\) | −15.8382 | + | 4.72217i | −0.540708 | + | 0.161212i | ||||
\(859\) | −39.5473 | −1.34934 | −0.674668 | − | 0.738121i | \(-0.735713\pi\) | ||||
−0.674668 | + | 0.738121i | \(0.735713\pi\) | |||||||
\(860\) | −0.491191 | − | 0.676066i | −0.0167495 | − | 0.0230537i | ||||
\(861\) | −1.81439 | − | 5.58412i | −0.0618342 | − | 0.190306i | ||||
\(862\) | 10.6978 | − | 32.9244i | 0.364368 | − | 1.12141i | ||||
\(863\) | 16.4389 | − | 22.6262i | 0.559586 | − | 0.770205i | −0.431688 | − | 0.902023i | \(-0.642082\pi\) |
0.991274 | + | 0.131819i | \(0.0420817\pi\) | |||||||
\(864\) | 0.298601 | − | 0.410989i | 0.0101586 | − | 0.0139821i | ||||
\(865\) | 89.3778 | + | 29.0406i | 3.03893 | + | 0.987410i | ||||
\(866\) | 2.20757 | − | 0.717285i | 0.0750164 | − | 0.0243743i | ||||
\(867\) | 16.5844 | − | 12.0493i | 0.563236 | − | 0.409215i | ||||
\(868\) | −0.956853 | −0.0324777 | ||||||||
\(869\) | −2.48552 | + | 39.3512i | −0.0843155 | + | 1.33490i | ||||
\(870\) | −23.4757 | −0.795899 | ||||||||
\(871\) | 42.1608 | − | 1.63152i | 1.42856 | − | 0.0552819i | ||||
\(872\) | 0.183694 | + | 0.565352i | 0.00622067 | + | 0.0191452i | ||||
\(873\) | −7.06784 | − | 2.29648i | −0.239210 | − | 0.0777241i | ||||
\(874\) | −5.80060 | − | 4.21438i | −0.196208 | − | 0.142554i | ||||
\(875\) | 24.4953 | + | 17.7969i | 0.828092 | + | 0.601644i | ||||
\(876\) | −0.473474 | − | 0.153841i | −0.0159972 | − | 0.00519781i | ||||
\(877\) | −32.6293 | + | 10.6019i | −1.10181 | + | 0.358001i | −0.802801 | − | 0.596248i | \(-0.796658\pi\) |
−0.299014 | + | 0.954249i | \(0.596658\pi\) | |||||||
\(878\) | 11.0770 | + | 15.2463i | 0.373832 | + | 0.514536i | ||||
\(879\) | 1.60010i | 0.0539701i | ||||||||
\(880\) | 18.7630 | − | 47.3557i | 0.632500 | − | 1.59636i | ||||
\(881\) | −28.0891 | −0.946346 | −0.473173 | − | 0.880970i | \(-0.656891\pi\) | ||||
−0.473173 | + | 0.880970i | \(0.656891\pi\) | |||||||
\(882\) | 4.50455 | + | 6.19999i | 0.151676 | + | 0.208764i | ||||
\(883\) | 13.9301 | + | 42.8725i | 0.468786 | + | 1.44277i | 0.854158 | + | 0.520013i | \(0.174073\pi\) |
−0.385372 | + | 0.922761i | \(0.625927\pi\) | |||||||
\(884\) | 1.22757 | + | 1.55906i | 0.0412876 | + | 0.0524369i | ||||
\(885\) | −19.2942 | − | 14.0180i | −0.648567 | − | 0.471212i | ||||
\(886\) | −10.3772 | + | 14.2830i | −0.348630 | + | 0.479848i | ||||
\(887\) | 9.48649 | − | 29.1964i | 0.318525 | − | 0.980320i | −0.655754 | − | 0.754975i | \(-0.727649\pi\) |
0.974279 | − | 0.225345i | \(-0.0723509\pi\) | |||||||
\(888\) | −9.99465 | − | 30.7604i | −0.335399 | − | 1.03225i | ||||
\(889\) | −4.03572 | − | 5.55469i | −0.135354 | − | 0.186298i | ||||
\(890\) | − | 34.9072i | − | 1.17009i | ||||||
\(891\) | 1.77645 | + | 2.80076i | 0.0595131 | + | 0.0938289i | ||||
\(892\) | − | 0.501117i | − | 0.0167786i | ||||||
\(893\) | 16.2312 | − | 11.7927i | 0.543157 | − | 0.394627i | ||||
\(894\) | 6.35084 | + | 19.5459i | 0.212404 | + | 0.653711i | ||||
\(895\) | −77.8165 | − | 25.2841i | −2.60112 | − | 0.845154i | ||||
\(896\) | 10.2385 | + | 7.43871i | 0.342044 | + | 0.248510i | ||||
\(897\) | 6.39008 | − | 2.35313i | 0.213359 | − | 0.0785687i | ||||
\(898\) | 15.3145 | − | 47.1332i | 0.511052 | − | 1.57286i | ||||
\(899\) | 35.3924 | − | 11.4997i | 1.18040 | − | 0.383536i | ||||
\(900\) | 0.816565 | − | 0.593269i | 0.0272188 | − | 0.0197756i | ||||
\(901\) | 44.0116 | 1.46624 | ||||||||
\(902\) | −21.6127 | + | 5.54352i | −0.719625 | + | 0.184579i | ||||
\(903\) | 2.78396i | 0.0926445i | ||||||||
\(904\) | −17.4676 | − | 24.0420i | −0.580963 | − | 0.799627i | ||||
\(905\) | −60.5803 | + | 19.6837i | −2.01376 | + | 0.654310i | ||||
\(906\) | −1.41206 | + | 4.34586i | −0.0469124 | + | 0.144382i | ||||
\(907\) | 30.7588 | + | 22.3475i | 1.02133 | + | 0.742038i | 0.966555 | − | 0.256461i | \(-0.0825564\pi\) |
0.0547732 | + | 0.998499i | \(0.482556\pi\) | |||||||
\(908\) | −1.06533 | + | 1.46630i | −0.0353542 | + | 0.0486609i | ||||
\(909\) | −4.89468 | + | 15.0643i | −0.162346 | + | 0.499651i | ||||
\(910\) | 6.58696 | − | 23.3028i | 0.218356 | − | 0.772480i | ||||
\(911\) | 33.9346 | − | 24.6549i | 1.12430 | − | 0.816854i | 0.139447 | − | 0.990230i | \(-0.455468\pi\) |
0.984856 | + | 0.173376i | \(0.0554676\pi\) | |||||||
\(912\) | 10.4715i | 0.346746i | ||||||||
\(913\) | −0.683656 | − | 2.66540i | −0.0226257 | − | 0.0882117i | ||||
\(914\) | −16.2037 | −0.535970 | ||||||||
\(915\) | 7.59266 | + | 10.4504i | 0.251006 | + | 0.345479i | ||||
\(916\) | −0.592382 | + | 0.192477i | −0.0195729 | + | 0.00635961i | ||||
\(917\) | 0.653066 | + | 0.212194i | 0.0215661 | + | 0.00700726i | ||||
\(918\) | −4.97465 | + | 6.84701i | −0.164188 | + | 0.225985i | ||||
\(919\) | −42.3736 | − | 30.7862i | −1.39778 | − | 1.01554i | −0.994961 | − | 0.100262i | \(-0.968032\pi\) |
−0.402815 | − | 0.915281i | \(-0.631968\pi\) | |||||||
\(920\) | −6.79124 | + | 20.9013i | −0.223900 | + | 0.689095i | ||||
\(921\) | −31.0930 | + | 10.1027i | −1.02455 | + | 0.332897i | ||||
\(922\) | 17.7456 | − | 12.8929i | 0.584420 | − | 0.424606i | ||||
\(923\) | 10.8344 | + | 7.24860i | 0.356619 | + | 0.238590i | ||||
\(924\) | 0.303625 | − | 0.192581i | 0.00998853 | − | 0.00633546i | ||||
\(925\) | − | 125.758i | − | 4.13490i | ||||||
\(926\) | −19.6071 | + | 14.2454i | −0.644330 | + | 0.468133i | ||||
\(927\) | 0.414930 | + | 1.27702i | 0.0136281 | + | 0.0419430i | ||||
\(928\) | 2.03704 | + | 0.661873i | 0.0668690 | + | 0.0217270i | ||||
\(929\) | 1.18827 | − | 1.63552i | 0.0389859 | − | 0.0536595i | −0.789079 | − | 0.614292i | \(-0.789442\pi\) |
0.828065 | + | 0.560632i | \(0.189442\pi\) | |||||||
\(930\) | 28.8868 | − | 39.7593i | 0.947237 | − | 1.30376i | ||||
\(931\) | 14.4859 | + | 4.70674i | 0.474755 | + | 0.154257i | ||||
\(932\) | 0.563775 | + | 1.73512i | 0.0184671 | + | 0.0568357i | ||||
\(933\) | −11.8418 | + | 8.60355i | −0.387682 | + | 0.281667i | ||||
\(934\) | 16.5514i | 0.541578i | ||||||||
\(935\) | 30.1399 | − | 76.0697i | 0.985679 | − | 2.48775i | ||||
\(936\) | −8.65560 | − | 5.79090i | −0.282917 | − | 0.189281i | ||||
\(937\) | 18.1075 | − | 13.1558i | 0.591545 | − | 0.429783i | −0.251323 | − | 0.967903i | \(-0.580866\pi\) |
0.842868 | + | 0.538121i | \(0.180866\pi\) | |||||||
\(938\) | 18.5537 | − | 6.02846i | 0.605799 | − | 0.196836i | ||||
\(939\) | 1.18355 | − | 3.64259i | 0.0386236 | − | 0.118871i | ||||
\(940\) | −2.13951 | − | 1.55444i | −0.0697831 | − | 0.0507004i | ||||
\(941\) | −33.2697 | + | 45.7919i | −1.08456 | + | 1.49277i | −0.230165 | + | 0.973152i | \(0.573927\pi\) |
−0.854397 | + | 0.519620i | \(0.826073\pi\) | |||||||
\(942\) | 31.7984 | + | 10.3319i | 1.03605 | + | 0.336633i | ||||
\(943\) | 8.74324 | − | 2.84085i | 0.284719 | − | 0.0925108i | ||||
\(944\) | −13.2646 | − | 18.2571i | −0.431725 | − | 0.594219i | ||||
\(945\) | −4.85957 | −0.158082 | ||||||||
\(946\) | 10.5583 | + | 0.666892i | 0.343281 | + | 0.0216825i | ||||
\(947\) | − | 20.9516i | − | 0.680835i | −0.940274 | − | 0.340417i | \(-0.889432\pi\) | ||
0.940274 | − | 0.340417i | \(-0.110568\pi\) | |||||||
\(948\) | −0.864401 | + | 0.628024i | −0.0280744 | + | 0.0203973i | ||||
\(949\) | −5.43268 | + | 19.2193i | −0.176352 | + | 0.623885i | ||||
\(950\) | −13.1750 | + | 40.5485i | −0.427454 | + | 1.31557i | ||||
\(951\) | −18.6687 | + | 25.6952i | −0.605373 | + | 0.833224i | ||||
\(952\) | 17.2604 | + | 12.5404i | 0.559414 | + | 0.406438i | ||||
\(953\) | 8.45952 | − | 26.0357i | 0.274031 | − | 0.843380i | −0.715443 | − | 0.698671i | \(-0.753775\pi\) |
0.989474 | − | 0.144710i | \(-0.0462248\pi\) | |||||||
\(954\) | −9.44696 | + | 3.06950i | −0.305857 | + | 0.0993788i | ||||
\(955\) | 21.7984 | + | 30.0029i | 0.705378 | + | 0.970870i | ||||
\(956\) | 0.561348i | 0.0181553i | ||||||||
\(957\) | −8.91608 | + | 10.7723i | −0.288216 | + | 0.348218i | ||||
\(958\) | 15.2538 | 0.492826 | ||||||||
\(959\) | −5.73145 | + | 4.16415i | −0.185078 | + | 0.134467i | ||||
\(960\) | 31.9031 | − | 10.3660i | 1.02967 | − | 0.334560i | ||||
\(961\) | −14.4945 | + | 44.6095i | −0.467565 | + | 1.43902i | ||||
\(962\) | −52.3628 | + | 19.2825i | −1.68825 | + | 0.621692i | ||||
\(963\) | −3.13225 | − | 2.27572i | −0.100935 | − | 0.0733339i | ||||
\(964\) | −0.549200 | − | 0.178446i | −0.0176885 | − | 0.00574735i | ||||
\(965\) | 24.6618 | + | 75.9011i | 0.793891 | + | 2.44334i | ||||
\(966\) | 2.54723 | − | 1.85067i | 0.0819557 | − | 0.0595443i | ||||
\(967\) | 16.1267i | 0.518598i | 0.965797 | + | 0.259299i | \(0.0834915\pi\) | ||||
−0.965797 | + | 0.259299i | \(0.916508\pi\) | |||||||
\(968\) | −15.2925 | − | 27.8495i | −0.491520 | − | 0.895117i | ||||
\(969\) | 16.8209i | 0.540364i | ||||||||
\(970\) | −24.3219 | − | 33.4762i | −0.780928 | − | 1.07486i | ||||
\(971\) | −1.89836 | − | 5.84254i | −0.0609212 | − | 0.187496i | 0.915964 | − | 0.401260i | \(-0.131428\pi\) |
−0.976885 | + | 0.213764i | \(0.931428\pi\) | |||||||
\(972\) | −0.0277724 | + | 0.0854748i | −0.000890801 | + | 0.00274160i | ||||
\(973\) | −11.2451 | + | 15.4776i | −0.360503 | + | 0.496189i | ||||
\(974\) | −3.89890 | − | 2.83272i | −0.124929 | − | 0.0907661i | ||||
\(975\) | −25.0498 | − | 31.8142i | −0.802235 | − | 1.01887i | ||||
\(976\) | 3.77714 | + | 11.6249i | 0.120903 | + | 0.372103i | ||||
\(977\) | −9.12407 | − | 12.5582i | −0.291905 | − | 0.401773i | 0.637727 | − | 0.770263i | \(-0.279875\pi\) |
−0.929632 | + | 0.368490i | \(0.879875\pi\) | |||||||
\(978\) | 14.8477 | 0.474776 | ||||||||
\(979\) | −16.0179 | − | 13.2578i | −0.511934 | − | 0.423721i | ||||
\(980\) | − | 2.00771i | − | 0.0641339i | ||||||
\(981\) | −0.120971 | − | 0.166502i | −0.00386230 | − | 0.00531600i | ||||
\(982\) | −36.5724 | + | 11.8831i | −1.16707 | + | 0.379205i | ||||
\(983\) | −9.59552 | − | 3.11777i | −0.306050 | − | 0.0994415i | 0.151966 | − | 0.988386i | \(-0.451440\pi\) |
−0.458016 | + | 0.888944i | \(0.651440\pi\) | |||||||
\(984\) | −11.3743 | − | 8.26394i | −0.362601 | − | 0.263445i | ||||
\(985\) | 46.1483 | + | 33.5287i | 1.47041 | + | 1.06831i | ||||
\(986\) | −33.9367 | − | 11.0267i | −1.08076 | − | 0.351162i | ||||
\(987\) | 2.72252 | + | 8.37905i | 0.0866588 | + | 0.266708i | ||||
\(988\) | −0.889434 | + | 0.0344189i | −0.0282967 | + | 0.00109501i | ||||
\(989\) | −4.35895 | −0.138606 | ||||||||
\(990\) | −1.16410 | + | 18.4302i | −0.0369974 | + | 0.585750i | ||||
\(991\) | 53.9042 | 1.71232 | 0.856161 | − | 0.516709i | \(-0.172843\pi\) | ||||
0.856161 | + | 0.516709i | \(0.172843\pi\) | |||||||
\(992\) | −3.62755 | + | 2.63557i | −0.115175 | + | 0.0836794i | ||||
\(993\) | −3.27212 | + | 1.06318i | −0.103838 | + | 0.0337389i | ||||
\(994\) | 5.73227 | + | 1.86253i | 0.181817 | + | 0.0590758i | ||||
\(995\) | 10.8083 | − | 14.8763i | 0.342646 | − | 0.471611i | ||||
\(996\) | 0.0438279 | − | 0.0603240i | 0.00138874 | − | 0.00191144i | ||||
\(997\) | −11.7976 | + | 36.3094i | −0.373635 | + | 1.14993i | 0.570760 | + | 0.821117i | \(0.306648\pi\) |
−0.944395 | + | 0.328813i | \(0.893352\pi\) | |||||||
\(998\) | −12.1217 | − | 37.3068i | −0.383706 | − | 1.18093i | ||||
\(999\) | 6.58193 | + | 9.05925i | 0.208243 | + | 0.286622i |
(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 | 429.2.bb.b.25.11 | yes | 56 | |
11.4 | even | 5 | inner | 429.2.bb.b.103.4 | yes | 56 | |
13.12 | even | 2 | inner | 429.2.bb.b.25.4 | ✓ | 56 | |
143.103 | even | 10 | inner | 429.2.bb.b.103.11 | yes | 56 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
429.2.bb.b.25.4 | ✓ | 56 | 13.12 | even | 2 | inner | |
429.2.bb.b.25.11 | yes | 56 | 1.1 | even | 1 | trivial | |
429.2.bb.b.103.4 | yes | 56 | 11.4 | even | 5 | inner | |
429.2.bb.b.103.11 | yes | 56 | 143.103 | even | 10 | inner |