Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [187,2,Mod(9,187)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(187, base_ring=CyclotomicField(40))
chi = DirichletCharacter(H, H._module([24, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("187.9");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 187 = 11 \cdot 17 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 187.r (of order \(40\), degree \(16\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.49320251780\) |
Analytic rank: | \(0\) |
Dimension: | \(256\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{40})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{40}]$ |
Embedding invariants
Embedding label | 104.14 | ||
Character | \(\chi\) | \(=\) | 187.104 |
Dual form | 187.2.r.a.9.14 |
$q$-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 \(\left(\mathbb{Z}/187\mathbb{Z}\right)^\times\).
\(n\) | \(35\) | \(122\) |
\(\chi(n)\) | \(e\left(\frac{2}{5}\right)\) | \(e\left(\frac{7}{8}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.864466 | − | 1.69661i | 0.611270 | − | 1.19968i | −0.353214 | − | 0.935542i | \(-0.614911\pi\) |
0.964484 | − | 0.264142i | \(-0.0850887\pi\) | |||||||
\(3\) | −1.81207 | − | 0.435039i | −1.04620 | − | 0.251170i | −0.326312 | − | 0.945262i | \(-0.605806\pi\) |
−0.719886 | + | 0.694092i | \(0.755806\pi\) | |||||||
\(4\) | −0.955613 | − | 1.31529i | −0.477806 | − | 0.657644i | ||||
\(5\) | −3.43817 | + | 0.270590i | −1.53760 | + | 0.121012i | −0.818748 | − | 0.574153i | \(-0.805331\pi\) |
−0.718850 | + | 0.695165i | \(0.755331\pi\) | |||||||
\(6\) | −2.30456 | + | 2.69830i | −0.940834 | + | 1.10157i | ||||
\(7\) | −0.552442 | − | 2.30109i | −0.208803 | − | 0.869729i | −0.974112 | − | 0.226066i | \(-0.927414\pi\) |
0.765309 | − | 0.643664i | \(-0.222586\pi\) | |||||||
\(8\) | 0.703788 | − | 0.111469i | 0.248827 | − | 0.0394103i | ||||
\(9\) | 0.421312 | + | 0.214669i | 0.140437 | + | 0.0715564i | ||||
\(10\) | −2.51310 | + | 6.06716i | −0.794711 | + | 1.91860i | ||||
\(11\) | −1.86143 | + | 2.74501i | −0.561241 | + | 0.827653i | ||||
\(12\) | 1.15943 | + | 2.79912i | 0.334700 | + | 0.808036i | ||||
\(13\) | −0.667538 | + | 0.216896i | −0.185142 | + | 0.0601562i | −0.400121 | − | 0.916463i | \(-0.631032\pi\) |
0.214979 | + | 0.976619i | \(0.431032\pi\) | |||||||
\(14\) | −4.38161 | − | 1.05193i | −1.17104 | − | 0.281141i | ||||
\(15\) | 6.34792 | + | 1.00541i | 1.63903 | + | 0.259596i | ||||
\(16\) | 1.42407 | − | 4.38284i | 0.356018 | − | 1.09571i | ||||
\(17\) | −1.24179 | − | 3.93166i | −0.301179 | − | 0.953567i | ||||
\(18\) | 0.728420 | − | 0.529228i | 0.171690 | − | 0.124740i | ||||
\(19\) | −1.11327 | − | 7.02891i | −0.255402 | − | 1.61254i | −0.698188 | − | 0.715915i | \(-0.746010\pi\) |
0.442786 | − | 0.896627i | \(-0.353990\pi\) | |||||||
\(20\) | 3.64147 | + | 4.26361i | 0.814257 | + | 0.953372i | ||||
\(21\) | 4.41006i | 0.962354i | ||||||||
\(22\) | 3.04808 | + | 5.53108i | 0.649852 | + | 1.17923i | ||||
\(23\) | 7.01751 | + | 2.90675i | 1.46325 | + | 0.606099i | 0.965309 | − | 0.261111i | \(-0.0840890\pi\) |
0.497943 | + | 0.867210i | \(0.334089\pi\) | |||||||
\(24\) | −1.32381 | − | 0.104186i | −0.270221 | − | 0.0212668i | ||||
\(25\) | 6.80938 | − | 1.07850i | 1.36188 | − | 0.215700i | ||||
\(26\) | −0.209075 | + | 1.32005i | −0.0410031 | + | 0.258883i | ||||
\(27\) | 3.58113 | + | 3.05857i | 0.689188 | + | 0.588622i | ||||
\(28\) | −2.49867 | + | 2.92557i | −0.472205 | + | 0.552880i | ||||
\(29\) | −5.14065 | − | 3.15019i | −0.954595 | − | 0.584976i | −0.0443362 | − | 0.999017i | \(-0.514117\pi\) |
−0.910259 | + | 0.414040i | \(0.864117\pi\) | |||||||
\(30\) | 7.19335 | − | 9.90080i | 1.31332 | − | 1.80763i | ||||
\(31\) | −2.00690 | − | 2.34977i | −0.360449 | − | 0.422032i | 0.550316 | − | 0.834957i | \(-0.314507\pi\) |
−0.910765 | + | 0.412925i | \(0.864507\pi\) | |||||||
\(32\) | −5.19720 | − | 5.19720i | −0.918743 | − | 0.918743i | ||||
\(33\) | 4.56722 | − | 4.16436i | 0.795050 | − | 0.724922i | ||||
\(34\) | −7.74398 | − | 1.29194i | −1.32808 | − | 0.221567i | ||||
\(35\) | 2.52204 | + | 7.76205i | 0.426303 | + | 1.31203i | ||||
\(36\) | −0.120259 | − | 0.759288i | −0.0200432 | − | 0.126548i | ||||
\(37\) | 2.34072 | − | 3.81970i | 0.384811 | − | 0.627955i | −0.600320 | − | 0.799760i | \(-0.704960\pi\) |
0.985131 | + | 0.171805i | \(0.0549599\pi\) | |||||||
\(38\) | −12.8877 | − | 4.18747i | −2.09066 | − | 0.679297i | ||||
\(39\) | 1.30398 | − | 0.102626i | 0.208804 | − | 0.0164333i | ||||
\(40\) | −2.38958 | + | 0.573688i | −0.377826 | + | 0.0907081i | ||||
\(41\) | 3.80721 | − | 2.33306i | 0.594586 | − | 0.364363i | −0.192416 | − | 0.981313i | \(-0.561632\pi\) |
0.787002 | + | 0.616951i | \(0.211632\pi\) | |||||||
\(42\) | 7.48215 | + | 3.81235i | 1.15452 | + | 0.588258i | ||||
\(43\) | −5.02674 | + | 5.02674i | −0.766571 | + | 0.766571i | −0.977501 | − | 0.210930i | \(-0.932351\pi\) |
0.210930 | + | 0.977501i | \(0.432351\pi\) | |||||||
\(44\) | 5.38928 | − | 0.174859i | 0.812465 | − | 0.0263610i | ||||
\(45\) | −1.50663 | − | 0.624068i | −0.224595 | − | 0.0930305i | ||||
\(46\) | 10.9980 | − | 9.39319i | 1.62157 | − | 1.38495i | ||||
\(47\) | −3.15103 | + | 4.33703i | −0.459626 | + | 0.632620i | −0.974431 | − | 0.224687i | \(-0.927864\pi\) |
0.514805 | + | 0.857307i | \(0.327864\pi\) | |||||||
\(48\) | −4.48722 | + | 7.32248i | −0.647675 | + | 1.05691i | ||||
\(49\) | 1.24724 | − | 0.635499i | 0.178177 | − | 0.0907855i | ||||
\(50\) | 4.05668 | − | 12.4852i | 0.573702 | − | 1.76567i | ||||
\(51\) | 0.539791 | + | 7.66466i | 0.0755859 | + | 1.07327i | ||||
\(52\) | 0.923189 | + | 0.670736i | 0.128023 | + | 0.0930143i | ||||
\(53\) | −1.04799 | + | 2.05680i | −0.143953 | + | 0.282524i | −0.951714 | − | 0.306987i | \(-0.900679\pi\) |
0.807761 | + | 0.589510i | \(0.200679\pi\) | |||||||
\(54\) | 8.28496 | − | 3.43174i | 1.12744 | − | 0.467001i | ||||
\(55\) | 5.65713 | − | 9.94152i | 0.762807 | − | 1.34051i | ||||
\(56\) | −0.645302 | − | 1.55790i | −0.0862321 | − | 0.208183i | ||||
\(57\) | −1.04053 | + | 13.2212i | −0.137821 | + | 1.75119i | ||||
\(58\) | −9.78857 | + | 5.99844i | −1.28530 | + | 0.787634i | ||||
\(59\) | −1.44676 | + | 9.13448i | −0.188352 | + | 1.18921i | 0.694478 | + | 0.719514i | \(0.255635\pi\) |
−0.882830 | + | 0.469693i | \(0.844365\pi\) | |||||||
\(60\) | −4.74375 | − | 9.31013i | −0.612415 | − | 1.20193i | ||||
\(61\) | −4.61010 | − | 3.93739i | −0.590262 | − | 0.504132i | 0.303405 | − | 0.952862i | \(-0.401876\pi\) |
−0.893667 | + | 0.448730i | \(0.851876\pi\) | |||||||
\(62\) | −5.72154 | + | 1.37362i | −0.726637 | + | 0.174450i | ||||
\(63\) | 0.261222 | − | 1.08807i | 0.0329109 | − | 0.137084i | ||||
\(64\) | −4.54473 | + | 1.47667i | −0.568091 | + | 0.184584i | ||||
\(65\) | 2.23642 | − | 0.926356i | 0.277394 | − | 0.114900i | ||||
\(66\) | −3.11709 | − | 11.3487i | −0.383687 | − | 1.39693i | ||||
\(67\) | 10.6695 | 1.30349 | 0.651744 | − | 0.758439i | \(-0.274038\pi\) | ||||
0.651744 | + | 0.758439i | \(0.274038\pi\) | |||||||
\(68\) | −3.98459 | + | 5.39046i | −0.483202 | + | 0.653689i | ||||
\(69\) | −11.4517 | − | 8.32011i | −1.37862 | − | 1.00162i | ||||
\(70\) | 15.3494 | + | 2.43111i | 1.83460 | + | 0.290573i | ||||
\(71\) | 0.581562 | + | 7.38945i | 0.0690187 | + | 0.876966i | 0.929818 | + | 0.368021i | \(0.119964\pi\) |
−0.860799 | + | 0.508945i | \(0.830036\pi\) | |||||||
\(72\) | 0.320443 | + | 0.104118i | 0.0377646 | + | 0.0122705i | ||||
\(73\) | −1.00841 | − | 0.617957i | −0.118026 | − | 0.0723264i | 0.462233 | − | 0.886759i | \(-0.347048\pi\) |
−0.580259 | + | 0.814432i | \(0.697048\pi\) | |||||||
\(74\) | −4.45707 | − | 7.27328i | −0.518124 | − | 0.845502i | ||||
\(75\) | −12.8083 | − | 1.00803i | −1.47897 | − | 0.116397i | ||||
\(76\) | −8.18118 | + | 8.18118i | −0.938446 | + | 0.938446i | ||||
\(77\) | 7.34484 | + | 2.76684i | 0.837023 | + | 0.315311i | ||||
\(78\) | 0.953132 | − | 2.30107i | 0.107921 | − | 0.260544i | ||||
\(79\) | 1.13365 | − | 14.4044i | 0.127546 | − | 1.62063i | −0.516948 | − | 0.856017i | \(-0.672932\pi\) |
0.644494 | − | 0.764609i | \(-0.277068\pi\) | |||||||
\(80\) | −3.71025 | + | 15.4543i | −0.414819 | + | 1.72784i | ||||
\(81\) | −5.99245 | − | 8.24790i | −0.665828 | − | 0.916433i | ||||
\(82\) | −0.667091 | − | 8.47619i | −0.0736679 | − | 0.936039i | ||||
\(83\) | −0.0715489 | + | 0.0364560i | −0.00785351 | + | 0.00400156i | −0.457913 | − | 0.888997i | \(-0.651403\pi\) |
0.450059 | + | 0.892999i | \(0.351403\pi\) | |||||||
\(84\) | 5.80050 | − | 4.21431i | 0.632886 | − | 0.459819i | ||||
\(85\) | 5.33337 | + | 13.1817i | 0.578486 | + | 1.42976i | ||||
\(86\) | 4.18297 | + | 12.8739i | 0.451062 | + | 1.38823i | ||||
\(87\) | 7.94475 | + | 7.94475i | 0.851767 | + | 0.851767i | ||||
\(88\) | −1.00406 | + | 2.13940i | −0.107034 | + | 0.228061i | ||||
\(89\) | 0.736940i | 0.0781154i | 0.999237 | + | 0.0390577i | \(0.0124356\pi\) | ||||
−0.999237 | + | 0.0390577i | \(0.987564\pi\) | |||||||
\(90\) | −2.36123 | + | 2.01668i | −0.248896 | + | 0.212577i | ||||
\(91\) | 0.867873 | + | 1.41624i | 0.0909778 | + | 0.148462i | ||||
\(92\) | −2.88281 | − | 12.0078i | −0.300554 | − | 1.25190i | ||||
\(93\) | 2.61439 | + | 5.13103i | 0.271100 | + | 0.532063i | ||||
\(94\) | 4.63428 | + | 9.09529i | 0.477989 | + | 0.938107i | ||||
\(95\) | 5.72957 | + | 23.8654i | 0.587841 | + | 2.44854i | ||||
\(96\) | 7.15669 | + | 11.6787i | 0.730427 | + | 1.19195i | ||||
\(97\) | 3.71172 | − | 3.17011i | 0.376868 | − | 0.321876i | −0.440757 | − | 0.897626i | \(-0.645290\pi\) |
0.817626 | + | 0.575750i | \(0.195290\pi\) | |||||||
\(98\) | − | 2.66544i | − | 0.269250i | ||||||
\(99\) | −1.37351 | + | 0.756917i | −0.138043 | + | 0.0760730i | ||||
\(100\) | −7.92567 | − | 7.92567i | −0.792567 | − | 0.792567i | ||||
\(101\) | −0.556271 | − | 1.71203i | −0.0553510 | − | 0.170353i | 0.919559 | − | 0.392952i | \(-0.128546\pi\) |
−0.974910 | + | 0.222599i | \(0.928546\pi\) | |||||||
\(102\) | 13.4706 | + | 5.71002i | 1.33379 | + | 0.565377i | ||||
\(103\) | −2.68957 | + | 1.95409i | −0.265011 | + | 0.192542i | −0.712353 | − | 0.701821i | \(-0.752371\pi\) |
0.447342 | + | 0.894363i | \(0.352371\pi\) | |||||||
\(104\) | −0.445628 | + | 0.227059i | −0.0436974 | + | 0.0222649i | ||||
\(105\) | −1.19332 | − | 15.1626i | −0.116456 | − | 1.47971i | ||||
\(106\) | 2.58364 | + | 3.55607i | 0.250945 | + | 0.345396i | ||||
\(107\) | 1.19285 | − | 4.96857i | 0.115317 | − | 0.480330i | −0.884586 | − | 0.466378i | \(-0.845559\pi\) |
0.999903 | − | 0.0139522i | \(-0.00444127\pi\) | |||||||
\(108\) | 0.600732 | − | 7.63302i | 0.0578054 | − | 0.734488i | ||||
\(109\) | 0.105959 | − | 0.255807i | 0.0101490 | − | 0.0245018i | −0.918724 | − | 0.394901i | \(-0.870779\pi\) |
0.928873 | + | 0.370399i | \(0.120779\pi\) | |||||||
\(110\) | −11.9765 | − | 18.1920i | −1.14191 | − | 1.73454i | ||||
\(111\) | −5.90326 | + | 5.90326i | −0.560312 | + | 0.560312i | ||||
\(112\) | −10.8720 | − | 0.855646i | −1.02731 | − | 0.0808510i | ||||
\(113\) | −7.28999 | − | 11.8962i | −0.685785 | − | 1.11910i | −0.986243 | − | 0.165304i | \(-0.947139\pi\) |
0.300458 | − | 0.953795i | \(-0.402861\pi\) | |||||||
\(114\) | 21.5317 | + | 13.1946i | 2.01663 | + | 1.23579i | ||||
\(115\) | −24.9139 | − | 8.09503i | −2.32324 | − | 0.754866i | ||||
\(116\) | 0.769057 | + | 9.77180i | 0.0714052 | + | 0.907289i | ||||
\(117\) | −0.327803 | − | 0.0519189i | −0.0303054 | − | 0.00479990i | ||||
\(118\) | 14.2470 | + | 10.3510i | 1.31154 | + | 0.952889i | ||||
\(119\) | −8.36107 | + | 5.02949i | −0.766458 | + | 0.461053i | ||||
\(120\) | 4.57966 | 0.418064 | ||||||||
\(121\) | −4.07019 | − | 10.2193i | −0.370018 | − | 0.929025i | ||||
\(122\) | −10.6655 | + | 4.41779i | −0.965608 | + | 0.399968i | ||||
\(123\) | −7.91389 | + | 2.57138i | −0.713571 | + | 0.231853i | ||||
\(124\) | −1.17281 | + | 4.88512i | −0.105322 | + | 0.438697i | ||||
\(125\) | −6.35243 | + | 1.52508i | −0.568179 | + | 0.136408i | ||||
\(126\) | −1.62021 | − | 1.38379i | −0.144340 | − | 0.123278i | ||||
\(127\) | 5.90594 | + | 11.5911i | 0.524067 | + | 1.02854i | 0.989645 | + | 0.143533i | \(0.0458464\pi\) |
−0.465578 | + | 0.885007i | \(0.654154\pi\) | |||||||
\(128\) | 0.876143 | − | 5.53175i | 0.0774408 | − | 0.488942i | ||||
\(129\) | 11.2956 | − | 6.92197i | 0.994525 | − | 0.609446i | ||||
\(130\) | 0.361645 | − | 4.59514i | 0.0317184 | − | 0.403020i | ||||
\(131\) | −3.87669 | − | 9.35915i | −0.338708 | − | 0.817712i | −0.997840 | − | 0.0656858i | \(-0.979076\pi\) |
0.659133 | − | 0.752027i | \(-0.270924\pi\) | |||||||
\(132\) | −9.84182 | − | 2.02769i | −0.856620 | − | 0.176488i | ||||
\(133\) | −15.5591 | + | 6.44479i | −1.34915 | + | 0.558835i | ||||
\(134\) | 9.22343 | − | 18.1020i | 0.796783 | − | 1.56377i | ||||
\(135\) | −13.1402 | − | 9.54688i | −1.13092 | − | 0.821665i | ||||
\(136\) | −1.31222 | − | 2.62863i | −0.112522 | − | 0.225403i | ||||
\(137\) | 3.05567 | − | 9.40438i | 0.261063 | − | 0.803471i | −0.731511 | − | 0.681830i | \(-0.761184\pi\) |
0.992574 | − | 0.121641i | \(-0.0388156\pi\) | |||||||
\(138\) | −24.0155 | + | 12.2365i | −2.04434 | + | 1.04164i | ||||
\(139\) | 0.224749 | − | 0.366756i | 0.0190629 | − | 0.0311079i | −0.842967 | − | 0.537966i | \(-0.819193\pi\) |
0.862030 | + | 0.506858i | \(0.169193\pi\) | |||||||
\(140\) | 7.79924 | − | 10.7347i | 0.659156 | − | 0.907250i | ||||
\(141\) | 7.59666 | − | 6.48816i | 0.639755 | − | 0.546402i | ||||
\(142\) | 13.0397 | + | 5.40124i | 1.09427 | + | 0.453262i | ||||
\(143\) | 0.647189 | − | 2.23614i | 0.0541207 | − | 0.186995i | ||||
\(144\) | 1.54084 | − | 1.54084i | 0.128403 | − | 0.128403i | ||||
\(145\) | 18.5269 | + | 9.43991i | 1.53857 | + | 0.783942i | ||||
\(146\) | −1.92017 | + | 1.17668i | −0.158914 | + | 0.0973829i | ||||
\(147\) | −2.53654 | + | 0.608970i | −0.209211 | + | 0.0502270i | ||||
\(148\) | −7.26083 | + | 0.571439i | −0.596836 | + | 0.0469720i | ||||
\(149\) | 5.61432 | + | 1.82420i | 0.459943 | + | 0.149445i | 0.529818 | − | 0.848111i | \(-0.322260\pi\) |
−0.0698752 | + | 0.997556i | \(0.522260\pi\) | |||||||
\(150\) | −12.7825 | + | 20.8592i | −1.04369 | + | 1.70315i | ||||
\(151\) | 1.64872 | + | 10.4096i | 0.134171 | + | 0.847122i | 0.959343 | + | 0.282241i | \(0.0910779\pi\) |
−0.825172 | + | 0.564881i | \(0.808922\pi\) | |||||||
\(152\) | −1.56701 | − | 4.82277i | −0.127101 | − | 0.391178i | ||||
\(153\) | 0.320823 | − | 1.92303i | 0.0259370 | − | 0.155468i | ||||
\(154\) | 11.0436 | − | 10.0695i | 0.889920 | − | 0.811423i | ||||
\(155\) | 7.53589 | + | 7.53589i | 0.605297 | + | 0.605297i | ||||
\(156\) | −1.38108 | − | 1.61704i | −0.110575 | − | 0.129467i | ||||
\(157\) | 9.21456 | − | 12.6827i | 0.735402 | − | 1.01219i | −0.263468 | − | 0.964668i | \(-0.584866\pi\) |
0.998870 | − | 0.0475255i | \(-0.0151335\pi\) | |||||||
\(158\) | −23.4587 | − | 14.3755i | −1.86627 | − | 1.14365i | ||||
\(159\) | 2.79383 | − | 3.27115i | 0.221565 | − | 0.259419i | ||||
\(160\) | 19.2752 | + | 16.4626i | 1.52384 | + | 1.30148i | ||||
\(161\) | 2.81191 | − | 17.7537i | 0.221610 | − | 1.39919i | ||||
\(162\) | −19.1737 | + | 3.03682i | −1.50643 | + | 0.238595i | ||||
\(163\) | 12.5881 | + | 0.990702i | 0.985973 | + | 0.0775978i | 0.561181 | − | 0.827693i | \(-0.310347\pi\) |
0.424792 | + | 0.905291i | \(0.360347\pi\) | |||||||
\(164\) | −6.70686 | − | 2.77807i | −0.523718 | − | 0.216931i | ||||
\(165\) | −14.5761 | + | 15.5536i | −1.13474 | + | 1.21085i | ||||
\(166\) | 0.152905i | 0.0118678i | ||||||||
\(167\) | 3.76137 | + | 4.40399i | 0.291063 | + | 0.340791i | 0.886600 | − | 0.462537i | \(-0.153061\pi\) |
−0.595537 | + | 0.803328i | \(0.703061\pi\) | |||||||
\(168\) | 0.491585 | + | 3.10375i | 0.0379266 | + | 0.239459i | ||||
\(169\) | −10.1187 | + | 7.35164i | −0.778358 | + | 0.565510i | ||||
\(170\) | 26.9747 | + | 2.34648i | 2.06887 | + | 0.179967i | ||||
\(171\) | 1.03986 | − | 3.20035i | 0.0795198 | − | 0.244737i | ||||
\(172\) | 11.4152 | + | 1.80800i | 0.870403 | + | 0.137858i | ||||
\(173\) | −23.8281 | − | 5.72063i | −1.81162 | − | 0.434931i | −0.820924 | − | 0.571037i | \(-0.806541\pi\) |
−0.990694 | + | 0.136106i | \(0.956541\pi\) | |||||||
\(174\) | 20.3471 | − | 6.61118i | 1.54251 | − | 0.501192i | ||||
\(175\) | −6.24351 | − | 15.0732i | −0.471965 | − | 1.13942i | ||||
\(176\) | 9.38016 | + | 12.0674i | 0.707056 | + | 0.909617i | ||||
\(177\) | 6.59548 | − | 15.9229i | 0.495747 | − | 1.19684i | ||||
\(178\) | 1.25030 | + | 0.637059i | 0.0937139 | + | 0.0477496i | ||||
\(179\) | 2.93233 | − | 0.464436i | 0.219173 | − | 0.0347136i | −0.0458821 | − | 0.998947i | \(-0.514610\pi\) |
0.265055 | + | 0.964233i | \(0.414610\pi\) | |||||||
\(180\) | 0.618928 | + | 2.57802i | 0.0461322 | + | 0.192154i | ||||
\(181\) | 3.52370 | − | 4.12573i | 0.261915 | − | 0.306663i | −0.613829 | − | 0.789439i | \(-0.710372\pi\) |
0.875744 | + | 0.482776i | \(0.160372\pi\) | |||||||
\(182\) | 3.15305 | − | 0.248151i | 0.233720 | − | 0.0183942i | ||||
\(183\) | 6.64089 | + | 9.14040i | 0.490909 | + | 0.675678i | ||||
\(184\) | 5.26285 | + | 1.26350i | 0.387982 | + | 0.0931463i | ||||
\(185\) | −7.01422 | + | 13.7662i | −0.515695 | + | 1.01211i | ||||
\(186\) | 10.9654 | 0.804022 | ||||||||
\(187\) | 13.1040 | + | 3.90975i | 0.958257 | + | 0.285909i | ||||
\(188\) | 8.71561 | 0.635651 | ||||||||
\(189\) | 5.05967 | − | 9.93017i | 0.368037 | − | 0.722313i | ||||
\(190\) | 45.4432 | + | 10.9100i | 3.29680 | + | 0.791491i | ||||
\(191\) | −14.0539 | − | 19.3435i | −1.01690 | − | 1.39965i | −0.914353 | − | 0.404919i | \(-0.867300\pi\) |
−0.102550 | − | 0.994728i | \(-0.532700\pi\) | |||||||
\(192\) | 8.87777 | − | 0.698696i | 0.640698 | − | 0.0504240i | ||||
\(193\) | 13.0821 | − | 15.3172i | 0.941673 | − | 1.10256i | −0.0529085 | − | 0.998599i | \(-0.516849\pi\) |
0.994582 | − | 0.103958i | \(-0.0331508\pi\) | |||||||
\(194\) | −2.16978 | − | 9.03780i | −0.155781 | − | 0.648876i | ||||
\(195\) | −4.45555 | + | 0.705690i | −0.319068 | + | 0.0505355i | ||||
\(196\) | −2.02774 | − | 1.03318i | −0.144838 | − | 0.0737989i | ||||
\(197\) | 0.281117 | − | 0.678677i | 0.0200288 | − | 0.0483537i | −0.913549 | − | 0.406729i | \(-0.866669\pi\) |
0.933578 | + | 0.358376i | \(0.116669\pi\) | |||||||
\(198\) | 0.0968387 | + | 2.98464i | 0.00688203 | + | 0.212109i | ||||
\(199\) | 7.86065 | + | 18.9773i | 0.557227 | + | 1.34526i | 0.911953 | + | 0.410294i | \(0.134574\pi\) |
−0.354726 | + | 0.934970i | \(0.615426\pi\) | |||||||
\(200\) | 4.67214 | − | 1.51807i | 0.330370 | − | 0.107344i | ||||
\(201\) | −19.3339 | − | 4.64165i | −1.36371 | − | 0.327397i | ||||
\(202\) | −3.38552 | − | 0.536213i | −0.238204 | − | 0.0377278i | ||||
\(203\) | −4.40896 | + | 13.5694i | −0.309448 | + | 0.952384i | ||||
\(204\) | 9.56541 | − | 8.03443i | 0.669713 | − | 0.562523i | ||||
\(205\) | −12.4585 | + | 9.05166i | −0.870142 | + | 0.632195i | ||||
\(206\) | 0.990281 | + | 6.25239i | 0.0689962 | + | 0.435625i | ||||
\(207\) | 2.33257 | + | 2.73109i | 0.162125 | + | 0.189824i | ||||
\(208\) | 3.23459i | 0.224278i | ||||||||
\(209\) | 21.3667 | + | 10.0278i | 1.47797 | + | 0.693641i | ||||
\(210\) | −26.7565 | − | 11.0829i | −1.84638 | − | 0.764794i | ||||
\(211\) | −16.2917 | − | 1.28218i | −1.12156 | − | 0.0882690i | −0.495913 | − | 0.868372i | \(-0.665167\pi\) |
−0.625651 | + | 0.780103i | \(0.715167\pi\) | |||||||
\(212\) | 3.70676 | − | 0.587094i | 0.254582 | − | 0.0403218i | ||||
\(213\) | 2.16087 | − | 13.6432i | 0.148060 | − | 0.934816i | ||||
\(214\) | −7.39855 | − | 6.31896i | −0.505755 | − | 0.431955i | ||||
\(215\) | 15.9226 | − | 18.6430i | 1.08591 | − | 1.27144i | ||||
\(216\) | 2.86129 | + | 1.75340i | 0.194686 | + | 0.119304i | ||||
\(217\) | −4.29834 | + | 5.91616i | −0.291790 | + | 0.401615i | ||||
\(218\) | −0.342406 | − | 0.400906i | −0.0231907 | − | 0.0271528i | ||||
\(219\) | 1.55848 | + | 1.55848i | 0.105312 | + | 0.105312i | ||||
\(220\) | −18.4820 | + | 2.05948i | −1.24605 | + | 0.138850i | ||||
\(221\) | 1.68171 | + | 2.35519i | 0.113124 | + | 0.158427i | ||||
\(222\) | 4.91236 | + | 15.1187i | 0.329696 | + | 1.01470i | ||||
\(223\) | 2.72987 | + | 17.2357i | 0.182806 | + | 1.15419i | 0.892957 | + | 0.450142i | \(0.148627\pi\) |
−0.710151 | + | 0.704049i | \(0.751373\pi\) | |||||||
\(224\) | −9.08805 | + | 14.8304i | −0.607221 | + | 0.990895i | ||||
\(225\) | 3.10040 | + | 1.00738i | 0.206693 | + | 0.0671587i | ||||
\(226\) | −26.4851 | + | 2.08443i | −1.76177 | + | 0.138654i | ||||
\(227\) | 22.5129 | − | 5.40486i | 1.49423 | − | 0.358733i | 0.597703 | − | 0.801718i | \(-0.296080\pi\) |
0.896529 | + | 0.442984i | \(0.146080\pi\) | |||||||
\(228\) | 18.3840 | − | 11.2657i | 1.21751 | − | 0.746091i | ||||
\(229\) | −3.65832 | − | 1.86401i | −0.241748 | − | 0.123177i | 0.328919 | − | 0.944358i | \(-0.393316\pi\) |
−0.570668 | + | 0.821181i | \(0.693316\pi\) | |||||||
\(230\) | −35.2714 | + | 35.2714i | −2.32573 | + | 2.32573i | ||||
\(231\) | −12.1057 | − | 8.20900i | −0.796495 | − | 0.540112i | ||||
\(232\) | −3.96908 | − | 1.64405i | −0.260583 | − | 0.107937i | ||||
\(233\) | 1.16002 | − | 0.990751i | 0.0759955 | − | 0.0649063i | −0.610639 | − | 0.791909i | \(-0.709087\pi\) |
0.686634 | + | 0.727003i | \(0.259087\pi\) | |||||||
\(234\) | −0.371460 | + | 0.511271i | −0.0242831 | + | 0.0334229i | ||||
\(235\) | 9.66025 | − | 15.7641i | 0.630165 | − | 1.02834i | ||||
\(236\) | 13.3970 | − | 6.82612i | 0.872071 | − | 0.444342i | ||||
\(237\) | −8.32075 | + | 25.6086i | −0.540491 | + | 1.66346i | ||||
\(238\) | 1.30523 | + | 18.5333i | 0.0846052 | + | 1.20134i | ||||
\(239\) | −16.8753 | − | 12.2606i | −1.09157 | − | 0.793072i | −0.111906 | − | 0.993719i | \(-0.535696\pi\) |
−0.979664 | + | 0.200647i | \(0.935696\pi\) | |||||||
\(240\) | 13.4465 | − | 26.3902i | 0.867965 | − | 1.70348i | ||||
\(241\) | 13.3094 | − | 5.51291i | 0.857331 | − | 0.355118i | 0.0896678 | − | 0.995972i | \(-0.471419\pi\) |
0.767663 | + | 0.640854i | \(0.221419\pi\) | |||||||
\(242\) | −20.8567 | − | 1.92868i | −1.34072 | − | 0.123980i | ||||
\(243\) | 1.86383 | + | 4.49969i | 0.119565 | + | 0.288655i | ||||
\(244\) | −0.773341 | + | 9.82623i | −0.0495081 | + | 0.629060i | ||||
\(245\) | −4.11626 | + | 2.52244i | −0.262978 | + | 0.161153i | ||||
\(246\) | −2.47866 | + | 15.6497i | −0.158034 | + | 0.997785i | ||||
\(247\) | 2.26769 | + | 4.45060i | 0.144290 | + | 0.283185i | ||||
\(248\) | −1.67436 | − | 1.43004i | −0.106322 | − | 0.0908074i | ||||
\(249\) | 0.145511 | − | 0.0349342i | 0.00922140 | − | 0.00221386i | ||||
\(250\) | −2.90399 | + | 12.0960i | −0.183664 | + | 0.765017i | ||||
\(251\) | 21.6222 | − | 7.02548i | 1.36478 | − | 0.443445i | 0.467145 | − | 0.884181i | \(-0.345283\pi\) |
0.897637 | + | 0.440736i | \(0.145283\pi\) | |||||||
\(252\) | −1.68075 | + | 0.696190i | −0.105877 | + | 0.0438558i | ||||
\(253\) | −21.0416 | + | 13.8525i | −1.32288 | + | 0.870897i | ||||
\(254\) | 24.7710 | 1.55427 | ||||||||
\(255\) | −3.92988 | − | 26.2064i | −0.246099 | − | 1.64111i | ||||
\(256\) | −16.3598 | − | 11.8861i | −1.02249 | − | 0.742880i | ||||
\(257\) | 0.523777 | + | 0.0829581i | 0.0326723 | + | 0.00517478i | 0.172749 | − | 0.984966i | \(-0.444735\pi\) |
−0.140077 | + | 0.990141i | \(0.544735\pi\) | |||||||
\(258\) | −1.97920 | − | 25.1481i | −0.123219 | − | 1.56565i | ||||
\(259\) | −10.0826 | − | 3.27603i | −0.626501 | − | 0.203562i | ||||
\(260\) | −3.35558 | − | 2.05630i | −0.208104 | − | 0.127526i | ||||
\(261\) | −1.48957 | − | 2.43076i | −0.0922020 | − | 0.150460i | ||||
\(262\) | −19.2301 | − | 1.51344i | −1.18804 | − | 0.0935006i | ||||
\(263\) | 9.35863 | − | 9.35863i | 0.577078 | − | 0.577078i | −0.357019 | − | 0.934097i | \(-0.616207\pi\) |
0.934097 | + | 0.357019i | \(0.116207\pi\) | |||||||
\(264\) | 2.75016 | − | 3.43993i | 0.169260 | − | 0.211713i | ||||
\(265\) | 3.04663 | − | 7.35522i | 0.187153 | − | 0.451828i | ||||
\(266\) | −2.51602 | + | 31.9690i | −0.154267 | + | 1.96015i | ||||
\(267\) | 0.320598 | − | 1.33538i | 0.0196203 | − | 0.0817242i | ||||
\(268\) | −10.1959 | − | 14.0335i | −0.622815 | − | 0.857231i | ||||
\(269\) | 1.45667 | + | 18.5088i | 0.0888149 | + | 1.12850i | 0.866275 | + | 0.499568i | \(0.166508\pi\) |
−0.777460 | + | 0.628933i | \(0.783492\pi\) | |||||||
\(270\) | −27.5565 | + | 14.0408i | −1.67704 | + | 0.854493i | ||||
\(271\) | 2.93458 | − | 2.13210i | 0.178263 | − | 0.129516i | −0.495076 | − | 0.868850i | \(-0.664860\pi\) |
0.673339 | + | 0.739334i | \(0.264860\pi\) | |||||||
\(272\) | −19.0002 | − | 0.156375i | −1.15206 | − | 0.00948161i | ||||
\(273\) | −0.956525 | − | 2.94388i | −0.0578915 | − | 0.178172i | ||||
\(274\) | −13.3140 | − | 13.3140i | −0.804331 | − | 0.804331i | ||||
\(275\) | −9.71466 | + | 20.6994i | −0.585816 | + | 1.24822i | ||||
\(276\) | 23.0130i | 1.38522i | ||||||||
\(277\) | −18.1795 | + | 15.5268i | −1.09230 | + | 0.932913i | −0.998037 | − | 0.0626344i | \(-0.980050\pi\) |
−0.0942640 | + | 0.995547i | \(0.530050\pi\) | |||||||
\(278\) | −0.427955 | − | 0.698359i | −0.0256670 | − | 0.0418848i | ||||
\(279\) | −0.341106 | − | 1.42081i | −0.0204215 | − | 0.0850615i | ||||
\(280\) | 2.64021 | + | 5.18171i | 0.157783 | + | 0.309666i | ||||
\(281\) | −5.85815 | − | 11.4973i | −0.349468 | − | 0.685869i | 0.647634 | − | 0.761952i | \(-0.275759\pi\) |
−0.997102 | + | 0.0760827i | \(0.975759\pi\) | |||||||
\(282\) | −4.44083 | − | 18.4974i | −0.264447 | − | 1.10150i | ||||
\(283\) | 3.60274 | + | 5.87914i | 0.214161 | + | 0.349479i | 0.941623 | − | 0.336669i | \(-0.109300\pi\) |
−0.727462 | + | 0.686148i | \(0.759300\pi\) | |||||||
\(284\) | 9.16350 | − | 7.82637i | 0.543754 | − | 0.464410i | ||||
\(285\) | − | 45.7383i | − | 2.70930i | ||||||
\(286\) | −3.23438 | − | 3.03109i | −0.191253 | − | 0.179232i | ||||
\(287\) | −7.47183 | − | 7.47183i | −0.441048 | − | 0.441048i | ||||
\(288\) | −1.07396 | − | 3.30532i | −0.0632840 | − | 0.194768i | ||||
\(289\) | −13.9159 | + | 9.76463i | −0.818582 | + | 0.574390i | ||||
\(290\) | 32.0317 | − | 23.2724i | 1.88096 | − | 1.36660i | ||||
\(291\) | −8.10502 | + | 4.12971i | −0.475125 | + | 0.242088i | ||||
\(292\) | 0.150862 | + | 1.91688i | 0.00882852 | + | 0.112177i | ||||
\(293\) | 16.8073 | + | 23.1332i | 0.981891 | + | 1.35146i | 0.935804 | + | 0.352520i | \(0.114675\pi\) |
0.0460873 | + | 0.998937i | \(0.485325\pi\) | |||||||
\(294\) | −1.15957 | + | 4.82996i | −0.0676275 | + | 0.281689i | ||||
\(295\) | 2.50251 | − | 31.7974i | 0.145702 | − | 1.85132i | ||||
\(296\) | 1.22159 | − | 2.94918i | 0.0710034 | − | 0.171417i | ||||
\(297\) | −15.0618 | + | 4.13694i | −0.873975 | + | 0.240049i | ||||
\(298\) | 7.94835 | − | 7.94835i | 0.460435 | − | 0.460435i | ||||
\(299\) | −5.31491 | − | 0.418293i | −0.307369 | − | 0.0241905i | ||||
\(300\) | 10.9139 | + | 17.8098i | 0.630113 | + | 1.02825i | ||||
\(301\) | 14.3440 | + | 8.78999i | 0.826772 | + | 0.506647i | ||||
\(302\) | 19.0863 | + | 6.20152i | 1.09829 | + | 0.356857i | ||||
\(303\) | 0.263203 | + | 3.34431i | 0.0151206 | + | 0.192125i | ||||
\(304\) | −32.3920 | − | 5.13038i | −1.85781 | − | 0.294248i | ||||
\(305\) | 16.9157 | + | 12.2900i | 0.968592 | + | 0.703723i | ||||
\(306\) | −2.98529 | − | 2.20671i | −0.170658 | − | 0.126149i | ||||
\(307\) | −11.1448 | −0.636066 | −0.318033 | − | 0.948080i | \(-0.603022\pi\) | ||||
−0.318033 | + | 0.948080i | \(0.603022\pi\) | |||||||
\(308\) | −3.37963 | − | 12.3046i | −0.192572 | − | 0.701120i | ||||
\(309\) | 5.72379 | − | 2.37087i | 0.325615 | − | 0.134874i | ||||
\(310\) | 19.3000 | − | 6.27094i | 1.09616 | − | 0.356165i | ||||
\(311\) | 1.49455 | − | 6.22523i | 0.0847479 | − | 0.353001i | −0.913843 | − | 0.406068i | \(-0.866900\pi\) |
0.998591 | + | 0.0530671i | \(0.0168997\pi\) | |||||||
\(312\) | 0.906287 | − | 0.217580i | 0.0513084 | − | 0.0123181i | ||||
\(313\) | 21.3305 | + | 18.2180i | 1.20567 | + | 1.02974i | 0.998678 | + | 0.0513970i | \(0.0163674\pi\) |
0.206992 | + | 0.978343i | \(0.433633\pi\) | |||||||
\(314\) | −13.5520 | − | 26.5973i | −0.764784 | − | 1.50097i | ||||
\(315\) | −0.603707 | + | 3.81165i | −0.0340150 | + | 0.214762i | ||||
\(316\) | −20.0293 | + | 12.2740i | −1.12674 | + | 0.690465i | ||||
\(317\) | −2.33372 | + | 29.6527i | −0.131075 | + | 1.66546i | 0.482554 | + | 0.875866i | \(0.339709\pi\) |
−0.613629 | + | 0.789595i | \(0.710291\pi\) | |||||||
\(318\) | −3.13470 | − | 7.56783i | −0.175785 | − | 0.424383i | ||||
\(319\) | 18.2163 | − | 8.24730i | 1.01991 | − | 0.461760i | ||||
\(320\) | 15.2260 | − | 6.30682i | 0.851159 | − | 0.352562i | ||||
\(321\) | −4.32305 | + | 8.48446i | −0.241289 | + | 0.473556i | ||||
\(322\) | −27.6903 | − | 20.1182i | −1.54312 | − | 1.12114i | ||||
\(323\) | −26.2528 | + | 13.1055i | −1.46075 | + | 0.729207i | ||||
\(324\) | −5.12190 | + | 15.7636i | −0.284550 | + | 0.875755i | ||||
\(325\) | −4.31160 | + | 2.19687i | −0.239164 | + | 0.121860i | ||||
\(326\) | 12.5628 | − | 20.5006i | 0.695788 | − | 1.13542i | ||||
\(327\) | −0.303290 | + | 0.417443i | −0.0167720 | + | 0.0230847i | ||||
\(328\) | 2.41940 | − | 2.06636i | 0.133589 | − | 0.114096i | ||||
\(329\) | 11.7206 | + | 4.85485i | 0.646180 | + | 0.267656i | ||||
\(330\) | 13.7879 | + | 38.1755i | 0.759001 | + | 2.10149i | ||||
\(331\) | 7.89190 | − | 7.89190i | 0.433778 | − | 0.433778i | −0.456133 | − | 0.889912i | \(-0.650766\pi\) |
0.889912 | + | 0.456133i | \(0.150766\pi\) | |||||||
\(332\) | 0.116323 | + | 0.0592696i | 0.00638406 | + | 0.00325284i | ||||
\(333\) | 1.80615 | − | 1.10681i | 0.0989762 | − | 0.0606527i | ||||
\(334\) | 10.7234 | − | 2.57447i | 0.586760 | − | 0.140869i | ||||
\(335\) | −36.6836 | + | 2.88707i | −2.00424 | + | 0.157737i | ||||
\(336\) | 19.3286 | + | 6.28024i | 1.05446 | + | 0.342615i | ||||
\(337\) | 3.98761 | − | 6.50718i | 0.217219 | − | 0.354469i | −0.725407 | − | 0.688320i | \(-0.758348\pi\) |
0.942626 | + | 0.333851i | \(0.108348\pi\) | |||||||
\(338\) | 3.72562 | + | 23.5227i | 0.202647 | + | 1.27946i | ||||
\(339\) | 8.03466 | + | 24.7281i | 0.436383 | + | 1.34305i | ||||
\(340\) | 12.2411 | − | 19.6115i | 0.663867 | − | 1.06358i | ||||
\(341\) | 10.1858 | − | 1.13503i | 0.551595 | − | 0.0614652i | ||||
\(342\) | −4.53082 | − | 4.53082i | −0.244999 | − | 0.244999i | ||||
\(343\) | −12.9097 | − | 15.1153i | −0.697057 | − | 0.816149i | ||||
\(344\) | −2.97743 | + | 4.09809i | −0.160533 | + | 0.220954i | ||||
\(345\) | 41.6241 | + | 25.5073i | 2.24097 | + | 1.37327i | ||||
\(346\) | −30.3043 | + | 35.4817i | −1.62917 | + | 1.90751i | ||||
\(347\) | 17.9650 | + | 15.3436i | 0.964412 | + | 0.823686i | 0.984370 | − | 0.176115i | \(-0.0563530\pi\) |
−0.0199573 | + | 0.999801i | \(0.506353\pi\) | |||||||
\(348\) | 2.85753 | − | 18.0417i | 0.153180 | − | 0.967139i | ||||
\(349\) | 2.98675 | − | 0.473054i | 0.159877 | − | 0.0253220i | −0.0759828 | − | 0.997109i | \(-0.524209\pi\) |
0.235860 | + | 0.971787i | \(0.424209\pi\) | |||||||
\(350\) | −30.9706 | − | 2.43744i | −1.65545 | − | 0.130287i | ||||
\(351\) | −3.05393 | − | 1.26498i | −0.163007 | − | 0.0675196i | ||||
\(352\) | 23.9406 | − | 4.59218i | 1.27604 | − | 0.244764i | ||||
\(353\) | 4.33633i | 0.230799i | 0.993319 | + | 0.115400i | \(0.0368149\pi\) | ||||
−0.993319 | + | 0.115400i | \(0.963185\pi\) | |||||||
\(354\) | −21.3134 | − | 24.9548i | −1.13279 | − | 1.32633i | ||||
\(355\) | −3.99902 | − | 25.2488i | −0.212246 | − | 1.34007i | ||||
\(356\) | 0.969288 | − | 0.704229i | 0.0513722 | − | 0.0373241i | ||||
\(357\) | 17.3389 | − | 5.47639i | 0.917670 | − | 0.289841i | ||||
\(358\) | 1.74694 | − | 5.37652i | 0.0923284 | − | 0.284158i | ||||
\(359\) | −1.13977 | − | 0.180521i | −0.0601545 | − | 0.00952754i | 0.126285 | − | 0.991994i | \(-0.459695\pi\) |
−0.186439 | + | 0.982467i | \(0.559695\pi\) | |||||||
\(360\) | −1.12991 | − | 0.271268i | −0.0595517 | − | 0.0142971i | ||||
\(361\) | −30.0961 | + | 9.77882i | −1.58401 | + | 0.514675i | ||||
\(362\) | −3.95363 | − | 9.54490i | −0.207798 | − | 0.501669i | ||||
\(363\) | 2.92968 | + | 20.2887i | 0.153768 | + | 1.06488i | ||||
\(364\) | 1.03341 | − | 2.49488i | 0.0541656 | − | 0.130767i | ||||
\(365\) | 3.63431 | + | 1.85178i | 0.190229 | + | 0.0969264i | ||||
\(366\) | 21.2485 | − | 3.36543i | 1.11068 | − | 0.175914i | ||||
\(367\) | 5.43795 | + | 22.6507i | 0.283859 | + | 1.18236i | 0.913947 | + | 0.405833i | \(0.133019\pi\) |
−0.630088 | + | 0.776524i | \(0.716981\pi\) | |||||||
\(368\) | 22.7332 | − | 26.6172i | 1.18505 | − | 1.38752i | ||||
\(369\) | 2.10486 | − | 0.165656i | 0.109575 | − | 0.00862371i | ||||
\(370\) | 17.2923 | + | 23.8008i | 0.898983 | + | 1.23734i | ||||
\(371\) | 5.31184 | + | 1.27526i | 0.275777 | + | 0.0662082i | ||||
\(372\) | 4.25044 | − | 8.34195i | 0.220375 | − | 0.432510i | ||||
\(373\) | −7.90303 | −0.409203 | −0.204602 | − | 0.978845i | \(-0.565590\pi\) | ||||
−0.204602 | + | 0.978845i | \(0.565590\pi\) | |||||||
\(374\) | 17.9612 | − | 18.8525i | 0.928754 | − | 0.974838i | ||||
\(375\) | 12.1745 | 0.628689 | ||||||||
\(376\) | −1.73422 | + | 3.40359i | −0.0894353 | + | 0.175527i | ||||
\(377\) | 4.11484 | + | 0.987887i | 0.211925 | + | 0.0508788i | ||||
\(378\) | −12.4737 | − | 17.1686i | −0.641578 | − | 0.883056i | ||||
\(379\) | 24.4585 | − | 1.92493i | 1.25635 | − | 0.0988770i | 0.567252 | − | 0.823544i | \(-0.308007\pi\) |
0.689099 | + | 0.724667i | \(0.258007\pi\) | |||||||
\(380\) | 25.9146 | − | 30.3421i | 1.32939 | − | 1.55652i | ||||
\(381\) | −5.65940 | − | 23.5731i | −0.289940 | − | 1.20769i | ||||
\(382\) | −44.9675 | + | 7.12215i | −2.30074 | + | 0.364401i | ||||
\(383\) | 2.19412 | + | 1.11796i | 0.112114 | + | 0.0571251i | 0.509148 | − | 0.860679i | \(-0.329960\pi\) |
−0.397034 | + | 0.917804i | \(0.629960\pi\) | |||||||
\(384\) | −3.99416 | + | 9.64275i | −0.203826 | + | 0.492079i | ||||
\(385\) | −26.0015 | − | 7.52544i | −1.32516 | − | 0.383532i | ||||
\(386\) | −14.6783 | − | 35.4365i | −0.747105 | − | 1.80367i | ||||
\(387\) | −3.19692 | + | 1.03874i | −0.162508 | + | 0.0528022i | ||||
\(388\) | −7.71658 | − | 1.85259i | −0.391750 | − | 0.0940508i | ||||
\(389\) | −13.5211 | − | 2.14153i | −0.685546 | − | 0.108580i | −0.196061 | − | 0.980592i | \(-0.562815\pi\) |
−0.489485 | + | 0.872012i | \(0.662815\pi\) | |||||||
\(390\) | −2.65439 | + | 8.16937i | −0.134410 | + | 0.413672i | ||||
\(391\) | 2.71403 | − | 31.2000i | 0.137255 | − | 1.57785i | ||||
\(392\) | 0.806951 | − | 0.586285i | 0.0407572 | − | 0.0296118i | ||||
\(393\) | 2.95322 | + | 18.6459i | 0.148970 | + | 0.940562i | ||||
\(394\) | −0.908433 | − | 1.06364i | −0.0457662 | − | 0.0535854i | ||||
\(395\) | 49.8317i | 2.50731i | ||||||||
\(396\) | 2.30811 | + | 1.08324i | 0.115987 | + | 0.0544350i | ||||
\(397\) | −10.9318 | − | 4.52812i | −0.548654 | − | 0.227260i | 0.0910974 | − | 0.995842i | \(-0.470963\pi\) |
−0.639751 | + | 0.768582i | \(0.720963\pi\) | |||||||
\(398\) | 38.9923 | + | 3.06876i | 1.95451 | + | 0.153823i | ||||
\(399\) | 30.9979 | − | 4.90959i | 1.55184 | − | 0.245787i | ||||
\(400\) | 4.97015 | − | 31.3803i | 0.248508 | − | 1.56901i | ||||
\(401\) | 20.7055 | + | 17.6842i | 1.03398 | + | 0.883107i | 0.993242 | − | 0.116063i | \(-0.0370275\pi\) |
0.0407431 | + | 0.999170i | \(0.487027\pi\) | |||||||
\(402\) | −24.5886 | + | 28.7895i | −1.22637 | + | 1.43589i | ||||
\(403\) | 1.84934 | + | 1.13327i | 0.0921220 | + | 0.0564524i | ||||
\(404\) | −1.72023 | + | 2.36769i | −0.0855845 | + | 0.117797i | ||||
\(405\) | 22.8349 | + | 26.7362i | 1.13467 | + | 1.32853i | ||||
\(406\) | 19.2106 | + | 19.2106i | 0.953404 | + | 0.953404i | ||||
\(407\) | 6.12806 | + | 13.5354i | 0.303757 | + | 0.670924i | ||||
\(408\) | 1.23427 | + | 5.33413i | 0.0611055 | + | 0.264079i | ||||
\(409\) | 1.18940 | + | 3.66060i | 0.0588122 | + | 0.181005i | 0.976147 | − | 0.217112i | \(-0.0696637\pi\) |
−0.917335 | + | 0.398117i | \(0.869664\pi\) | |||||||
\(410\) | 4.58715 | + | 28.9621i | 0.226543 | + | 1.43034i | ||||
\(411\) | −9.62836 | + | 15.7120i | −0.474932 | + | 0.775018i | ||||
\(412\) | 5.14037 | + | 1.67021i | 0.253248 | + | 0.0822853i | ||||
\(413\) | 21.8185 | − | 1.71715i | 1.07362 | − | 0.0844955i | ||||
\(414\) | 6.65003 | − | 1.59653i | 0.326831 | − | 0.0784652i | ||||
\(415\) | 0.236133 | − | 0.144702i | 0.0115913 | − | 0.00710316i | ||||
\(416\) | 4.59658 | + | 2.34207i | 0.225366 | + | 0.114830i | ||||
\(417\) | −0.566813 | + | 0.566813i | −0.0277570 | + | 0.0277570i | ||||
\(418\) | 35.4841 | − | 27.5822i | 1.73559 | − | 1.34909i | ||||
\(419\) | −16.4518 | − | 6.81456i | −0.803723 | − | 0.332913i | −0.0572765 | − | 0.998358i | \(-0.518242\pi\) |
−0.746447 | + | 0.665445i | \(0.768242\pi\) | |||||||
\(420\) | −18.8028 | + | 16.0591i | −0.917482 | + | 0.783603i | ||||
\(421\) | −6.03251 | + | 8.30304i | −0.294006 | + | 0.404665i | −0.930310 | − | 0.366773i | \(-0.880462\pi\) |
0.636304 | + | 0.771439i | \(0.280462\pi\) | |||||||
\(422\) | −16.2589 | + | 26.5322i | −0.791473 | + | 1.29157i | ||||
\(423\) | −2.25860 | + | 1.15081i | −0.109817 | + | 0.0559544i | ||||
\(424\) | −0.508295 | + | 1.56437i | −0.0246850 | + | 0.0759726i | ||||
\(425\) | −12.6961 | − | 25.4329i | −0.615854 | − | 1.23368i | ||||
\(426\) | −21.2792 | − | 15.4602i | −1.03098 | − | 0.749050i | ||||
\(427\) | −6.51347 | + | 12.7834i | −0.315209 | + | 0.618633i | ||||
\(428\) | −7.67500 | + | 3.17909i | −0.370985 | + | 0.153667i | ||||
\(429\) | −2.14556 | + | 3.77048i | −0.103588 | + | 0.182040i | ||||
\(430\) | −17.8653 | − | 43.1307i | −0.861543 | − | 2.07995i | ||||
\(431\) | −1.33456 | + | 16.9572i | −0.0642834 | + | 0.816798i | 0.877284 | + | 0.479972i | \(0.159353\pi\) |
−0.941567 | + | 0.336826i | \(0.890647\pi\) | |||||||
\(432\) | 18.5050 | − | 11.3399i | 0.890323 | − | 0.545590i | ||||
\(433\) | −1.86892 | + | 11.7999i | −0.0898148 | + | 0.567068i | 0.901209 | + | 0.433384i | \(0.142681\pi\) |
−0.991024 | + | 0.133684i | \(0.957319\pi\) | |||||||
\(434\) | 6.32164 | + | 12.4069i | 0.303449 | + | 0.595551i | ||||
\(435\) | −29.4652 | − | 25.1657i | −1.41275 | − | 1.20660i | ||||
\(436\) | −0.437715 | + | 0.105086i | −0.0209627 | + | 0.00503271i | ||||
\(437\) | 12.6189 | − | 52.5614i | 0.603643 | − | 2.51435i | ||||
\(438\) | 3.99138 | − | 1.29688i | 0.190716 | − | 0.0619673i | ||||
\(439\) | 19.3978 | − | 8.03483i | 0.925806 | − | 0.383481i | 0.131720 | − | 0.991287i | \(-0.457950\pi\) |
0.794086 | + | 0.607805i | \(0.207950\pi\) | |||||||
\(440\) | 2.87325 | − | 7.62731i | 0.136977 | − | 0.363618i | ||||
\(441\) | 0.661898 | 0.0315190 | ||||||||
\(442\) | 5.44962 | − | 0.817218i | 0.259212 | − | 0.0388711i | ||||
\(443\) | 18.3578 | + | 13.3377i | 0.872203 | + | 0.633693i | 0.931177 | − | 0.364567i | \(-0.118783\pi\) |
−0.0589738 | + | 0.998260i | \(0.518783\pi\) | |||||||
\(444\) | 13.4057 | + | 2.12326i | 0.636207 | + | 0.100765i | ||||
\(445\) | −0.199409 | − | 2.53373i | −0.00945288 | − | 0.120110i | ||||
\(446\) | 31.6022 | + | 10.2682i | 1.49641 | + | 0.486213i | ||||
\(447\) | −9.37993 | − | 5.74803i | −0.443656 | − | 0.271872i | ||||
\(448\) | 5.90865 | + | 9.64205i | 0.279158 | + | 0.455544i | ||||
\(449\) | −25.2459 | − | 1.98690i | −1.19143 | − | 0.0937675i | −0.532804 | − | 0.846239i | \(-0.678862\pi\) |
−0.658625 | + | 0.752471i | \(0.728862\pi\) | |||||||
\(450\) | 4.38932 | − | 4.38932i | 0.206914 | − | 0.206914i | ||||
\(451\) | −0.682553 | + | 14.7936i | −0.0321401 | + | 0.696606i | ||||
\(452\) | −8.68050 | + | 20.9566i | −0.408297 | + | 0.985715i | ||||
\(453\) | 1.54099 | − | 19.5802i | 0.0724022 | − | 0.919957i | ||||
\(454\) | 10.2917 | − | 42.8679i | 0.483012 | − | 2.01189i | ||||
\(455\) | −3.36712 | − | 4.63444i | −0.157853 | − | 0.217266i | ||||
\(456\) | 0.741440 | + | 9.42089i | 0.0347211 | + | 0.441174i | ||||
\(457\) | 23.0195 | − | 11.7290i | 1.07681 | − | 0.548662i | 0.176673 | − | 0.984270i | \(-0.443467\pi\) |
0.900136 | + | 0.435608i | \(0.143467\pi\) | |||||||
\(458\) | −6.32498 | + | 4.59537i | −0.295547 | + | 0.214727i | ||||
\(459\) | 7.57823 | − | 17.8779i | 0.353722 | − | 0.834468i | ||||
\(460\) | 13.1608 | + | 40.5047i | 0.613625 | + | 1.88854i | ||||
\(461\) | −17.8679 | − | 17.8679i | −0.832191 | − | 0.832191i | 0.155625 | − | 0.987816i | \(-0.450261\pi\) |
−0.987816 | + | 0.155625i | \(0.950261\pi\) | |||||||
\(462\) | −24.3924 | + | 13.4422i | −1.13484 | + | 0.625388i | ||||
\(463\) | − | 41.7607i | − | 1.94078i | −0.241537 | − | 0.970392i | \(-0.577652\pi\) | ||
0.241537 | − | 0.970392i | \(-0.422348\pi\) | |||||||
\(464\) | −21.1275 | + | 18.0446i | −0.980818 | + | 0.837697i | ||||
\(465\) | −10.3771 | − | 16.9339i | −0.481228 | − | 0.785293i | ||||
\(466\) | −0.678120 | − | 2.82457i | −0.0314133 | − | 0.130846i | ||||
\(467\) | −17.3743 | − | 34.0989i | −0.803986 | − | 1.57791i | −0.816049 | − | 0.577983i | \(-0.803840\pi\) |
0.0120630 | − | 0.999927i | \(-0.496160\pi\) | |||||||
\(468\) | 0.244964 | + | 0.480769i | 0.0113235 | + | 0.0222236i | ||||
\(469\) | −5.89429 | − | 24.5515i | −0.272173 | − | 1.13368i | ||||
\(470\) | −18.3946 | − | 30.0172i | −0.848478 | − | 1.38459i | ||||
\(471\) | −22.2149 | + | 18.9733i | −1.02361 | + | 0.874244i | ||||
\(472\) | 6.59000i | 0.303329i | ||||||||
\(473\) | −4.44157 | − | 23.1554i | −0.204224 | − | 1.06469i | ||||
\(474\) | 36.2549 | + | 36.2549i | 1.66524 | + | 1.66524i | ||||
\(475\) | −15.1614 | − | 46.6618i | −0.695651 | − | 2.14099i | ||||
\(476\) | 14.6052 | + | 6.19097i | 0.669427 | + | 0.283763i | ||||
\(477\) | −0.883065 | + | 0.641584i | −0.0404328 | + | 0.0293761i | ||||
\(478\) | −35.3895 | + | 18.0319i | −1.61868 | + | 0.824758i | ||||
\(479\) | 1.11194 | + | 14.1285i | 0.0508058 | + | 0.645549i | 0.968621 | + | 0.248542i | \(0.0799513\pi\) |
−0.917815 | + | 0.397007i | \(0.870049\pi\) | |||||||
\(480\) | −27.7661 | − | 38.2167i | −1.26734 | − | 1.74435i | ||||
\(481\) | −0.734038 | + | 3.05749i | −0.0334693 | + | 0.139409i | ||||
\(482\) | 2.15222 | − | 27.3465i | 0.0980308 | − | 1.24560i | ||||
\(483\) | −12.8189 | + | 30.9476i | −0.583281 | + | 1.40817i | ||||
\(484\) | −9.55176 | + | 15.1191i | −0.434171 | + | 0.687234i | ||||
\(485\) | −11.9038 | + | 11.9038i | −0.540521 | + | 0.540521i | ||||
\(486\) | 9.24544 | + | 0.727632i | 0.419382 | + | 0.0330061i | ||||
\(487\) | 1.55662 | + | 2.54017i | 0.0705371 | + | 0.115106i | 0.885964 | − | 0.463754i | \(-0.153498\pi\) |
−0.815427 | + | 0.578860i | \(0.803498\pi\) | |||||||
\(488\) | −3.68343 | − | 2.25721i | −0.166741 | − | 0.102179i | ||||
\(489\) | −22.3794 | − | 7.27152i | −1.01203 | − | 0.328829i | ||||
\(490\) | 0.721242 | + | 9.16425i | 0.0325824 | + | 0.413998i | ||||
\(491\) | 19.2321 | + | 3.04606i | 0.867931 | + | 0.137467i | 0.574491 | − | 0.818511i | \(-0.305200\pi\) |
0.293440 | + | 0.955978i | \(0.405200\pi\) | |||||||
\(492\) | 10.9447 | + | 7.95180i | 0.493426 | + | 0.358495i | ||||
\(493\) | −6.00186 | + | 24.1232i | −0.270310 | + | 1.08645i | ||||
\(494\) | 9.51127 | 0.427932 | ||||||||
\(495\) | 4.51756 | − | 2.97407i | 0.203049 | − | 0.133675i | ||||
\(496\) | −13.1567 | + | 5.44966i | −0.590751 | + | 0.244697i | ||||
\(497\) | 16.6825 | − | 5.42047i | 0.748312 | − | 0.243141i | ||||
\(498\) | 0.0665199 | − | 0.277075i | 0.00298083 | − | 0.0124160i | ||||
\(499\) | 19.5395 | − | 4.69102i | 0.874708 | − | 0.209999i | 0.228855 | − | 0.973461i | \(-0.426502\pi\) |
0.645853 | + | 0.763462i | \(0.276502\pi\) | |||||||
\(500\) | 8.07639 | + | 6.89788i | 0.361187 | + | 0.308483i | ||||
\(501\) | −4.89994 | − | 9.61668i | −0.218913 | − | 0.429641i | ||||
\(502\) | 6.77216 | − | 42.7577i | 0.302256 | − | 1.90837i | ||||
\(503\) | −0.544102 | + | 0.333426i | −0.0242603 | + | 0.0148667i | −0.534576 | − | 0.845121i | \(-0.679529\pi\) |
0.510316 | + | 0.859987i | \(0.329529\pi\) | |||||||
\(504\) | 0.0625590 | − | 0.794888i | 0.00278660 | − | 0.0354071i | ||||
\(505\) | 2.37581 | + | 5.73572i | 0.105722 | + | 0.255236i | ||||
\(506\) | 5.31245 | + | 47.6744i | 0.236167 | + | 2.11939i | ||||
\(507\) | 21.5339 | − | 8.91965i | 0.956356 | − | 0.396136i | ||||
\(508\) | 9.60179 | − | 18.8446i | 0.426011 | − | 0.836093i | ||||
\(509\) | 15.7737 | + | 11.4603i | 0.699158 | + | 0.507968i | 0.879658 | − | 0.475607i | \(-0.157772\pi\) |
−0.180500 | + | 0.983575i | \(0.557772\pi\) | |||||||
\(510\) | −47.8593 | − | 15.9871i | −2.11924 | − | 0.707919i | ||||
\(511\) | −0.864882 | + | 2.66183i | −0.0382601 | + | 0.117753i | ||||
\(512\) | −24.3280 | + | 12.3957i | −1.07515 | + | 0.547819i | ||||
\(513\) | 17.5116 | − | 28.5764i | 0.773158 | − | 1.26168i | ||||
\(514\) | 0.593535 | − | 0.816930i | 0.0261797 | − | 0.0360333i | ||||
\(515\) | 8.71845 | − | 7.44626i | 0.384181 | − | 0.328121i | ||||
\(516\) | −19.8986 | − | 8.24228i | −0.875989 | − | 0.362846i | ||||
\(517\) | −6.03978 | − | 16.7227i | −0.265629 | − | 0.735463i | ||||
\(518\) | −14.2742 | + | 14.2742i | −0.627172 | + | 0.627172i | ||||
\(519\) | 40.6895 | + | 20.7323i | 1.78607 | + | 0.910048i | ||||
\(520\) | 1.47071 | − | 0.901250i | 0.0644947 | − | 0.0395224i | ||||
\(521\) | 7.76753 | − | 1.86482i | 0.340302 | − | 0.0816992i | −0.0596926 | − | 0.998217i | \(-0.519012\pi\) |
0.399994 | + | 0.916518i | \(0.369012\pi\) | |||||||
\(522\) | −5.41173 | + | 0.425912i | −0.236865 | + | 0.0186417i | ||||
\(523\) | 4.73990 | + | 1.54009i | 0.207262 | + | 0.0673434i | 0.410808 | − | 0.911722i | \(-0.365247\pi\) |
−0.203546 | + | 0.979065i | \(0.565247\pi\) | |||||||
\(524\) | −8.60536 | + | 14.0427i | −0.375927 | + | 0.613457i | ||||
\(525\) | 4.75625 | + | 30.0298i | 0.207580 | + | 1.31061i | ||||
\(526\) | −7.78772 | − | 23.9681i | −0.339561 | − | 1.04506i | ||||
\(527\) | −6.74636 | + | 10.8084i | −0.293876 | + | 0.470820i | ||||
\(528\) | −11.7477 | − | 25.9477i | −0.511252 | − | 1.12923i | ||||
\(529\) | 24.5328 | + | 24.5328i | 1.06664 | + | 1.06664i | ||||
\(530\) | −9.84523 | − | 11.5273i | −0.427650 | − | 0.500713i | ||||
\(531\) | −2.57043 | + | 3.53789i | −0.111547 | + | 0.153531i | ||||
\(532\) | 23.3452 | + | 14.3060i | 1.01214 | + | 0.620243i | ||||
\(533\) | −2.03542 | + | 2.38317i | −0.0881640 | + | 0.103227i | ||||
\(534\) | −1.98848 | − | 1.69832i | −0.0860500 | − | 0.0734936i | ||||
\(535\) | −2.75677 | + | 17.4056i | −0.119186 | + | 0.752509i | ||||
\(536\) | 7.50907 | − | 1.18932i | 0.324343 | − | 0.0513708i | ||||
\(537\) | −5.51564 | − | 0.434090i | −0.238017 | − | 0.0187324i | ||||
\(538\) | 32.6614 | + | 13.5288i | 1.40813 | + | 0.583268i | ||||
\(539\) | −0.577185 | + | 4.60661i | −0.0248611 | + | 0.198421i | ||||
\(540\) | 26.4062i | 1.13634i | ||||||||
\(541\) | −8.13068 | − | 9.51980i | −0.349565 | − | 0.409288i | 0.557568 | − | 0.830131i | \(-0.311734\pi\) |
−0.907134 | + | 0.420843i | \(0.861734\pi\) | |||||||
\(542\) | −1.08049 | − | 6.82196i | −0.0464111 | − | 0.293028i | ||||
\(543\) | −8.18004 | + | 5.94315i | −0.351039 | + | 0.255045i | ||||
\(544\) | −13.9798 | + | 26.8875i | −0.599377 | + | 1.15279i | ||||
\(545\) | −0.295085 | + | 0.908179i | −0.0126401 | + | 0.0389021i | ||||
\(546\) | −5.82150 | − | 0.922035i | −0.249137 | − | 0.0394595i | ||||
\(547\) | −18.1852 | − | 4.36588i | −0.777544 | − | 0.186672i | −0.174797 | − | 0.984604i | \(-0.555927\pi\) |
−0.602746 | + | 0.797933i | \(0.705927\pi\) | |||||||
\(548\) | −15.2895 | + | 4.96786i | −0.653135 | + | 0.212217i | ||||
\(549\) | −1.09705 | − | 2.64852i | −0.0468211 | − | 0.113036i | ||||
\(550\) | 26.7208 | + | 34.3759i | 1.13938 | + | 1.46579i | ||||
\(551\) | −16.4195 | + | 39.6402i | −0.699494 | + | 1.68873i | ||||
\(552\) | −8.98697 | − | 4.57909i | −0.382511 | − | 0.194899i | ||||
\(553\) | −33.7721 | + | 5.34898i | −1.43614 | + | 0.227462i | ||||
\(554\) | 10.6273 | + | 44.2659i | 0.451511 | + | 1.88068i | ||||
\(555\) | 18.6991 | − | 21.8938i | 0.793731 | − | 0.929340i | ||||
\(556\) | −0.697163 | + | 0.0548679i | −0.0295663 | + | 0.00232692i | ||||
\(557\) | 2.55341 | + | 3.51447i | 0.108192 | + | 0.148913i | 0.859679 | − | 0.510834i | \(-0.170663\pi\) |
−0.751488 | + | 0.659747i | \(0.770663\pi\) | |||||||
\(558\) | −2.70543 | − | 0.649516i | −0.114530 | − | 0.0274962i | ||||
\(559\) | 2.26526 | − | 4.44582i | 0.0958103 | − | 0.188038i | ||||
\(560\) | 37.6114 | 1.58937 | ||||||||
\(561\) | −22.0444 | − | 12.7855i | −0.930715 | − | 0.539803i | ||||
\(562\) | −24.5705 | −1.03645 | ||||||||
\(563\) | −5.14233 | + | 10.0924i | −0.216723 | + | 0.425343i | −0.973615 | − | 0.228197i | \(-0.926717\pi\) |
0.756892 | + | 0.653540i | \(0.226717\pi\) | |||||||
\(564\) | −15.7933 | − | 3.79163i | −0.665017 | − | 0.159656i | ||||
\(565\) | 28.2833 | + | 38.9286i | 1.18989 | + | 1.63774i | ||||
\(566\) | 13.0891 | − | 1.03013i | 0.550174 | − | 0.0432996i | ||||
\(567\) | −15.6687 | + | 18.3456i | −0.658021 | + | 0.770444i | ||||
\(568\) | 1.23299 | + | 5.13578i | 0.0517352 | + | 0.215492i | ||||
\(569\) | −3.06488 | + | 0.485429i | −0.128486 | + | 0.0203502i | −0.220346 | − | 0.975422i | \(-0.570719\pi\) |
0.0918601 | + | 0.995772i | \(0.470719\pi\) | |||||||
\(570\) | −77.6000 | − | 39.5392i | −3.25031 | − | 1.65611i | ||||
\(571\) | 0.799343 | − | 1.92979i | 0.0334515 | − | 0.0807590i | −0.906271 | − | 0.422697i | \(-0.861083\pi\) |
0.939722 | + | 0.341938i | \(0.111083\pi\) | |||||||
\(572\) | −3.55962 | + | 1.28564i | −0.148835 | + | 0.0537553i | ||||
\(573\) | 17.0514 | + | 41.1657i | 0.712333 | + | 1.71972i | ||||
\(574\) | −19.1359 | + | 6.21764i | −0.798718 | + | 0.259519i | ||||
\(575\) | 50.9198 | + | 12.2248i | 2.12350 | + | 0.509808i | ||||
\(576\) | −2.23175 | − | 0.353474i | −0.0929895 | − | 0.0147281i | ||||
\(577\) | 8.07265 | − | 24.8451i | 0.336069 | − | 1.03431i | −0.630124 | − | 0.776494i | \(-0.716996\pi\) |
0.966193 | − | 0.257820i | \(-0.0830040\pi\) | |||||||
\(578\) | 4.53695 | + | 32.0510i | 0.188712 | + | 1.33315i | ||||
\(579\) | −30.3693 | + | 22.0646i | −1.26211 | + | 0.916974i | ||||
\(580\) | −5.28831 | − | 33.3891i | −0.219585 | − | 1.38641i | ||||
\(581\) | 0.123415 | + | 0.144500i | 0.00512012 | + | 0.00599489i | ||||
\(582\) | 17.3210i | 0.717981i | ||||||||
\(583\) | −3.69519 | − | 6.70534i | −0.153039 | − | 0.277707i | ||||
\(584\) | −0.778592 | − | 0.322504i | −0.0322184 | − | 0.0133453i | ||||
\(585\) | 1.14109 | + | 0.0898059i | 0.0471783 | + | 0.00371302i | ||||
\(586\) | 53.7774 | − | 8.51750i | 2.22152 | − | 0.351855i | ||||
\(587\) | 6.07409 | − | 38.3503i | 0.250705 | − | 1.58289i | −0.465533 | − | 0.885030i | \(-0.654137\pi\) |
0.716238 | − | 0.697856i | \(-0.245863\pi\) | |||||||
\(588\) | 3.22492 | + | 2.75435i | 0.132994 | + | 0.113587i | ||||
\(589\) | −14.2821 | + | 16.7222i | −0.588485 | + | 0.689027i | ||||
\(590\) | −51.7844 | − | 31.7335i | −2.13193 | − | 1.30645i | ||||
\(591\) | −0.804654 | + | 1.10751i | −0.0330991 | + | 0.0455569i | ||||
\(592\) | −13.4078 | − | 15.6985i | −0.551057 | − | 0.645205i | ||||
\(593\) | 10.0416 | + | 10.0416i | 0.412360 | + | 0.412360i | 0.882560 | − | 0.470200i | \(-0.155818\pi\) |
−0.470200 | + | 0.882560i | \(0.655818\pi\) | |||||||
\(594\) | −6.00166 | + | 29.1303i | −0.246251 | + | 1.19523i | ||||
\(595\) | 27.3859 | − | 19.5547i | 1.12271 | − | 0.801664i | ||||
\(596\) | −2.96576 | − | 9.12768i | −0.121482 | − | 0.373884i | ||||
\(597\) | −5.98817 | − | 37.8078i | −0.245080 | − | 1.54737i | ||||
\(598\) | −5.30424 | + | 8.65573i | −0.216907 | + | 0.353959i | ||||
\(599\) | −33.3090 | − | 10.8228i | −1.36097 | − | 0.442206i | −0.464603 | − | 0.885519i | \(-0.653803\pi\) |
−0.896367 | + | 0.443313i | \(0.853803\pi\) | |||||||
\(600\) | −9.12666 | + | 0.718283i | −0.372594 | + | 0.0293238i | ||||
\(601\) | −28.3345 | + | 6.80252i | −1.15579 | + | 0.277480i | −0.765639 | − | 0.643271i | \(-0.777577\pi\) |
−0.390150 | + | 0.920751i | \(0.627577\pi\) | |||||||
\(602\) | 27.3130 | − | 16.7375i | 1.11320 | − | 0.682168i | ||||
\(603\) | 4.49520 | + | 2.29042i | 0.183059 | + | 0.0932730i | ||||
\(604\) | 12.1161 | − | 12.1161i | 0.492997 | − | 0.492997i | ||||
\(605\) | 16.7593 | + | 34.0343i | 0.681361 | + | 1.38369i | ||||
\(606\) | 5.90152 | + | 2.44449i | 0.239733 | + | 0.0993005i | ||||
\(607\) | −20.8358 | + | 17.7954i | −0.845698 | + | 0.722295i | −0.962623 | − | 0.270846i | \(-0.912697\pi\) |
0.116924 | + | 0.993141i | \(0.462697\pi\) | |||||||
\(608\) | −30.7447 | + | 42.3165i | −1.24686 | + | 1.71616i | ||||
\(609\) | 13.8925 | − | 22.6706i | 0.562954 | − | 0.918658i | ||||
\(610\) | 35.4744 | − | 18.0751i | 1.43632 | − | 0.731840i | ||||
\(611\) | 1.16275 | − | 3.57858i | 0.0470398 | − | 0.144774i | ||||
\(612\) | −2.83592 | + | 1.41570i | −0.114635 | + | 0.0572262i | ||||
\(613\) | 19.3976 | + | 14.0932i | 0.783461 | + | 0.569217i | 0.906016 | − | 0.423244i | \(-0.139109\pi\) |
−0.122555 | + | 0.992462i | \(0.539109\pi\) | |||||||
\(614\) | −9.63428 | + | 18.9083i | −0.388808 | + | 0.763078i | ||||
\(615\) | 26.5135 | − | 10.9823i | 1.06913 | − | 0.442848i | ||||
\(616\) | 5.47763 | + | 1.12855i | 0.220700 | + | 0.0454704i | ||||
\(617\) | 2.90428 | + | 7.01156i | 0.116922 | + | 0.282275i | 0.971496 | − | 0.237054i | \(-0.0761819\pi\) |
−0.854574 | + | 0.519329i | \(0.826182\pi\) | |||||||
\(618\) | 0.925577 | − | 11.7606i | 0.0372322 | − | 0.473079i | ||||
\(619\) | 2.79091 | − | 1.71027i | 0.112176 | − | 0.0687417i | −0.465279 | − | 0.885164i | \(-0.654046\pi\) |
0.577455 | + | 0.816423i | \(0.304046\pi\) | |||||||
\(620\) | 2.71047 | − | 17.1132i | 0.108855 | − | 0.687285i | ||||
\(621\) | 16.2401 | + | 31.8730i | 0.651692 | + | 1.27902i | ||||
\(622\) | −9.26980 | − | 7.91716i | −0.371685 | − | 0.317449i | ||||
\(623\) | 1.69576 | − | 0.407117i | 0.0679393 | − | 0.0163108i | ||||
\(624\) | 1.40717 | − | 5.86129i | 0.0563320 | − | 0.234640i | ||||
\(625\) | −11.3561 | + | 3.68981i | −0.454243 | + | 0.147592i | ||||
\(626\) | 49.3482 | − | 20.4407i | 1.97235 | − | 0.816975i | ||||
\(627\) | −34.3554 | − | 27.4665i | −1.37202 | − | 1.09691i | ||||
\(628\) | −25.4870 | −1.01704 | ||||||||
\(629\) | −17.9245 | − | 4.45961i | −0.714695 | − | 0.177816i | ||||
\(630\) | 5.94500 | + | 4.31930i | 0.236855 | + | 0.172085i | ||||
\(631\) | −7.95988 | − | 1.26072i | −0.316878 | − | 0.0501885i | −0.00403034 | − | 0.999992i | \(-0.501283\pi\) |
−0.312848 | + | 0.949803i | \(0.601283\pi\) | |||||||
\(632\) | −0.807797 | − | 10.2640i | −0.0321325 | − | 0.408281i | ||||
\(633\) | 28.9638 | + | 9.41091i | 1.15121 | + | 0.374050i | ||||
\(634\) | 48.2916 | + | 29.5931i | 1.91790 | + | 1.17529i | ||||
\(635\) | −23.4421 | − | 38.2540i | −0.930270 | − | 1.51806i | ||||
\(636\) | −6.97232 | − | 0.548733i | −0.276470 | − | 0.0217587i | ||||
\(637\) | −0.694740 | + | 0.694740i | −0.0275266 | + | 0.0275266i | ||||
\(638\) | 1.75489 | − | 38.0354i | 0.0694766 | − | 1.50584i | ||||
\(639\) | −1.34127 | + | 3.23811i | −0.0530598 | + | 0.128098i | ||||
\(640\) | −1.51549 | + | 19.2562i | −0.0599052 | + | 0.761168i | ||||
\(641\) | 7.15690 | − | 29.8107i | 0.282681 | − | 1.17745i | −0.632550 | − | 0.774520i | \(-0.717992\pi\) |
0.915231 | − | 0.402930i | \(-0.132008\pi\) | |||||||
\(642\) | 10.6577 | + | 14.6690i | 0.420625 | + | 0.578941i | ||||
\(643\) | 1.21156 | + | 15.3944i | 0.0477793 | + | 0.607094i | 0.973470 | + | 0.228813i | \(0.0734845\pi\) |
−0.925691 | + | 0.378281i | \(0.876515\pi\) | |||||||
\(644\) | −26.0383 | + | 13.2672i | −1.02605 | + | 0.522801i | ||||
\(645\) | −36.9633 | + | 26.8554i | −1.45543 | + | 1.05743i | ||||
\(646\) | −0.459818 | + | 55.8700i | −0.0180913 | + | 2.19818i | ||||
\(647\) | −2.31381 | − | 7.12119i | −0.0909654 | − | 0.279963i | 0.895216 | − | 0.445633i | \(-0.147021\pi\) |
−0.986181 | + | 0.165670i | \(0.947021\pi\) | |||||||
\(648\) | −5.13680 | − | 5.13680i | −0.201792 | − | 0.201792i | ||||
\(649\) | −22.3812 | − | 20.9745i | −0.878540 | − | 0.823322i | ||||
\(650\) | 9.21421i | 0.361411i | ||||||||
\(651\) | 10.3626 | − | 8.85053i | 0.406144 | − | 0.346880i | ||||
\(652\) | −10.7263 | − | 17.5037i | −0.420073 | − | 0.685496i | ||||
\(653\) | −6.81565 | − | 28.3892i | −0.266717 | − | 1.11096i | −0.931448 | − | 0.363874i | \(-0.881454\pi\) |
0.664731 | − | 0.747083i | \(-0.268546\pi\) | |||||||
\(654\) | 0.446054 | + | 0.875430i | 0.0174421 | + | 0.0342320i | ||||
\(655\) | 15.8612 | + | 31.1294i | 0.619749 | + | 1.21633i | ||||
\(656\) | −4.80370 | − | 20.0088i | −0.187553 | − | 0.781214i | ||||
\(657\) | −0.292201 | − | 0.476828i | −0.0113998 | − | 0.0186028i | ||||
\(658\) | 18.3689 | − | 15.6885i | 0.716093 | − | 0.611601i | ||||
\(659\) | − | 48.8357i | − | 1.90237i | −0.308621 | − | 0.951185i | \(-0.599867\pi\) | ||
0.308621 | − | 0.951185i | \(-0.400133\pi\) | |||||||
\(660\) | 34.3866 | + | 4.30846i | 1.33850 | + | 0.167707i | ||||
\(661\) | −23.1709 | − | 23.1709i | −0.901245 | − | 0.901245i | 0.0942988 | − | 0.995544i | \(-0.469939\pi\) |
−0.995544 | + | 0.0942988i | \(0.969939\pi\) | |||||||
\(662\) | −6.56720 | − | 20.2118i | −0.255241 | − | 0.785552i | ||||
\(663\) | −2.02277 | − | 4.99937i | −0.0785578 | − | 0.194160i | ||||
\(664\) | −0.0462915 | + | 0.0336328i | −0.00179646 | + | 0.00130520i | ||||
\(665\) | 51.7510 | − | 26.3685i | 2.00682 | − | 1.02253i | ||||
\(666\) | −0.316469 | − | 4.02112i | −0.0122629 | − | 0.155815i | ||||
\(667\) | −26.9177 | − | 37.0491i | −1.04226 | − | 1.43455i | ||||
\(668\) | 2.19811 | − | 9.15579i | 0.0850475 | − | 0.354248i | ||||
\(669\) | 2.55151 | − | 32.4199i | 0.0986469 | − | 1.25343i | ||||
\(670\) | −26.8135 | + | 64.7336i | −1.03590 | + | 2.50088i | ||||
\(671\) | 19.3895 | − | 5.32561i | 0.748525 | − | 0.205593i | ||||
\(672\) | 22.9200 | − | 22.9200i | 0.884156 | − | 0.884156i | ||||
\(673\) | 36.4706 | + | 2.87029i | 1.40584 | + | 0.110642i | 0.758555 | − | 0.651609i | \(-0.225906\pi\) |
0.647282 | + | 0.762251i | \(0.275906\pi\) | |||||||
\(674\) | −7.59300 | − | 12.3906i | −0.292471 | − | 0.477270i | ||||
\(675\) | 27.6839 | + | 16.9647i | 1.06555 | + | 0.652973i | ||||
\(676\) | 19.3390 | + | 6.28363i | 0.743809 | + | 0.241678i | ||||
\(677\) | −3.09175 | − | 39.2844i | −0.118826 | − | 1.50982i | −0.710529 | − | 0.703668i | \(-0.751544\pi\) |
0.591704 | − | 0.806156i | \(-0.298456\pi\) | |||||||
\(678\) | 48.8997 | + | 7.74495i | 1.87798 | + | 0.297443i | ||||
\(679\) | −9.34521 | − | 6.78970i | −0.358636 | − | 0.260565i | ||||
\(680\) | 5.22292 | + | 8.68262i | 0.200290 | + | 0.332963i | ||||
\(681\) | −43.1462 | −1.65337 | ||||||||
\(682\) | 6.87962 | − | 18.2626i | 0.263434 | − | 0.699311i | ||||
\(683\) | 35.4685 | − | 14.6915i | 1.35716 | − | 0.562156i | 0.418887 | − | 0.908038i | \(-0.362420\pi\) |
0.938278 | + | 0.345882i | \(0.112420\pi\) | |||||||
\(684\) | −5.20308 | + | 1.69058i | −0.198945 | + | 0.0646411i | ||||
\(685\) | −7.96119 | + | 33.1607i | −0.304181 | + | 1.26701i | ||||
\(686\) | −36.8047 | + | 8.83603i | −1.40521 | + | 0.337361i | ||||
\(687\) | 5.81821 | + | 4.96922i | 0.221978 | + | 0.189587i | ||||
\(688\) | 14.8730 | + | 29.1899i | 0.567027 | + | 1.11285i | ||||
\(689\) | 0.253463 | − | 1.60030i | 0.00965615 | − | 0.0609666i | ||||
\(690\) | 79.2585 | − | 48.5697i | 3.01732 | − | 1.84902i | ||||
\(691\) | −0.622596 | + | 7.91083i | −0.0236847 | + | 0.300942i | 0.973654 | + | 0.228031i | \(0.0732288\pi\) |
−0.997338 | + | 0.0729108i | \(0.976771\pi\) | |||||||
\(692\) | 15.2462 | + | 36.8075i | 0.579573 | + | 1.39921i | ||||
\(693\) | 2.50052 | + | 2.74242i | 0.0949868 | + | 0.104176i | ||||
\(694\) | 41.5622 | − | 17.2156i | 1.57768 | − | 0.653496i | ||||
\(695\) | −0.673484 | + | 1.32179i | −0.0255467 | + | 0.0501382i | ||||
\(696\) | 6.47701 | + | 4.70583i | 0.245511 | + | 0.178374i | ||||
\(697\) | −13.9006 | − | 12.0715i | −0.526521 | − | 0.457239i | ||||
\(698\) | 1.77935 | − | 5.47628i | 0.0673495 | − | 0.207280i | ||||
\(699\) | −2.53305 | + | 1.29065i | −0.0958088 | + | 0.0488170i | ||||
\(700\) | −13.8592 | + | 22.6161i | −0.523828 | + | 0.854809i | ||||
\(701\) | 2.88200 | − | 3.96674i | 0.108852 | − | 0.149822i | −0.751115 | − | 0.660171i | \(-0.770484\pi\) |
0.859967 | + | 0.510349i | \(0.170484\pi\) | |||||||
\(702\) | −4.78619 | + | 4.08779i | −0.180643 | + | 0.154284i | ||||
\(703\) | −29.4542 | − | 12.2003i | −1.11089 | − | 0.460144i | ||||
\(704\) | 4.40619 | − | 15.2241i | 0.166065 | − | 0.573778i | ||||
\(705\) | −24.3630 | + | 24.3630i | −0.917564 | + | 0.917564i | ||||
\(706\) | 7.35706 | + | 3.74861i | 0.276886 | + | 0.141081i | ||||
\(707\) | −3.63221 | + | 2.22582i | −0.136603 | + | 0.0837107i | ||||
\(708\) | −27.2459 | + | 6.54117i | −1.02396 | + | 0.245832i | ||||
\(709\) | −50.5381 | + | 3.97743i | −1.89800 | + | 0.149376i | −0.973031 | − | 0.230673i | \(-0.925907\pi\) |
−0.924966 | + | 0.380049i | \(0.875907\pi\) | |||||||
\(710\) | −46.2944 | − | 15.0420i | −1.73740 | − | 0.564515i | ||||
\(711\) | 3.56981 | − | 5.82541i | 0.133878 | − | 0.218470i | ||||
\(712\) | 0.0821460 | + | 0.518649i | 0.00307855 | + | 0.0194372i | ||||
\(713\) | −7.25321 | − | 22.3231i | −0.271635 | − | 0.836007i | ||||
\(714\) | 5.69755 | − | 34.1514i | 0.213226 | − | 1.27808i | ||||
\(715\) | −1.62007 | + | 7.86335i | −0.0605872 | + | 0.294073i | ||||
\(716\) | −3.41304 | − | 3.41304i | −0.127551 | − | 0.127551i | ||||
\(717\) | 25.2453 | + | 29.5584i | 0.942802 | + | 1.10388i | ||||
\(718\) | −1.29156 | + | 1.77768i | −0.0482007 | + | 0.0663426i | ||||
\(719\) | 15.8396 | + | 9.70655i | 0.590719 | + | 0.361993i | 0.785507 | − | 0.618852i | \(-0.212402\pi\) |
−0.194788 | + | 0.980845i | \(0.562402\pi\) | |||||||
\(720\) | −4.88074 | + | 5.71461i | −0.181895 | + | 0.212971i | ||||
\(721\) | 5.98235 | + | 5.10941i | 0.222795 | + | 0.190284i | ||||
\(722\) | −9.42622 | + | 59.5148i | −0.350807 | + | 2.21491i | ||||
\(723\) | −26.5158 | + | 4.19969i | −0.986133 | + | 0.156188i | ||||
\(724\) | −8.79381 | − | 0.692088i | −0.326819 | − | 0.0257212i | ||||
\(725\) | −38.4021 | − | 15.9067i | −1.42622 | − | 0.590759i | ||||
\(726\) | 36.9546 | + | 12.5684i | 1.37152 | + | 0.466456i | ||||
\(727\) | 16.3047i | 0.604709i | 0.953196 | + | 0.302354i | \(0.0977726\pi\) | ||||
−0.953196 | + | 0.302354i | \(0.902227\pi\) | |||||||
\(728\) | 0.768666 | + | 0.899992i | 0.0284886 | + | 0.0333559i | ||||
\(729\) | 3.36468 | + | 21.2437i | 0.124618 | + | 0.786805i | ||||
\(730\) | 6.28348 | − | 4.56522i | 0.232562 | − | 0.168966i | ||||
\(731\) | 26.0056 | + | 13.5213i | 0.961853 | + | 0.500102i | ||||
\(732\) | 5.67614 | − | 17.4694i | 0.209796 | − | 0.645686i | ||||
\(733\) | 10.0636 | + | 1.59392i | 0.371709 | + | 0.0588730i | 0.339495 | − | 0.940608i | \(-0.389744\pi\) |
0.0322146 | + | 0.999481i | \(0.489744\pi\) | |||||||
\(734\) | 43.1303 | + | 10.3547i | 1.59197 | + | 0.382198i | ||||
\(735\) | 8.55630 | − | 2.78011i | 0.315604 | − | 0.102546i | ||||
\(736\) | −21.3644 | − | 51.5783i | −0.787504 | − | 1.90120i | ||||
\(737\) | −19.8605 | + | 29.2879i | −0.731571 | + | 1.07884i | ||||
\(738\) | 1.53853 | − | 3.71433i | 0.0566339 | − | 0.136726i | ||||
\(739\) | 10.1551 | + | 5.17429i | 0.373562 | + | 0.190339i | 0.630684 | − | 0.776040i | \(-0.282774\pi\) |
−0.257122 | + | 0.966379i | \(0.582774\pi\) | |||||||
\(740\) | 24.8094 | − | 3.92942i | 0.912010 | − | 0.144448i | ||||
\(741\) | −2.17303 | − | 9.05132i | −0.0798283 | − | 0.332509i | ||||
\(742\) | 6.75552 | − | 7.90970i | 0.248003 | − | 0.290374i | ||||
\(743\) | −45.1963 | + | 3.55702i | −1.65809 | + | 0.130495i | −0.872619 | − | 0.488402i | \(-0.837580\pi\) |
−0.785472 | + | 0.618897i | \(0.787580\pi\) | |||||||
\(744\) | 2.41193 | + | 3.31973i | 0.0884255 | + | 0.121707i | ||||
\(745\) | −19.7966 | − | 4.75275i | −0.725292 | − | 0.174127i | ||||
\(746\) | −6.83190 | + | 13.4084i | −0.250134 | + | 0.490915i | ||||
\(747\) | −0.0379704 | −0.00138926 | ||||||||
\(748\) | −7.37987 | − | 20.9717i | −0.269835 | − | 0.766801i | ||||
\(749\) | −12.0921 | −0.441836 | ||||||||
\(750\) | 10.5244 | − | 20.6554i | 0.384298 | − | 0.754228i | ||||
\(751\) | −8.56301 | − | 2.05580i | −0.312469 | − | 0.0750171i | 0.0741780 | − | 0.997245i | \(-0.476367\pi\) |
−0.386647 | + | 0.922228i | \(0.626367\pi\) | |||||||
\(752\) | 14.5212 | + | 19.9867i | 0.529534 | + | 0.728841i | ||||
\(753\) | −42.2373 | + | 3.32415i | −1.53921 | + | 0.121139i | ||||
\(754\) | 5.23320 | − | 6.12729i | 0.190582 | − | 0.223143i | ||||
\(755\) | −8.48533 | − | 35.3439i | −0.308813 | − | 1.28630i | ||||
\(756\) | −17.8961 | + | 2.83447i | −0.650875 | + | 0.103089i | ||||
\(757\) | 4.68270 | + | 2.38596i | 0.170196 | + | 0.0867191i | 0.537013 | − | 0.843574i | \(-0.319553\pi\) |
−0.366817 | + | 0.930293i | \(0.619553\pi\) | |||||||
\(758\) | 17.8777 | − | 43.1606i | 0.649348 | − | 1.56766i | ||||
\(759\) | 44.1552 | − | 15.9477i | 1.60273 | − | 0.578864i | ||||
\(760\) | 6.69265 | + | 16.1575i | 0.242768 | + | 0.586094i | ||||
\(761\) | 33.6715 | − | 10.9405i | 1.22059 | − | 0.396594i | 0.373293 | − | 0.927714i | \(-0.378229\pi\) |
0.847297 | + | 0.531120i | \(0.178229\pi\) | |||||||
\(762\) | −44.8867 | − | 10.7763i | −1.62607 | − | 0.390386i | ||||
\(763\) | −0.647169 | − | 0.102502i | −0.0234291 | − | 0.00371081i | ||||
\(764\) | −12.0122 | + | 36.9698i | −0.434587 | + | 1.33752i | ||||
\(765\) | −0.582693 | + | 6.69853i | −0.0210673 | + | 0.242186i | ||||
\(766\) | 3.79348 | − | 2.75613i | 0.137064 | − | 0.0995829i | ||||
\(767\) | −1.01547 | − | 6.41140i | −0.0366664 | − | 0.231502i | ||||
\(768\) | 24.4741 | + | 28.6555i | 0.883134 | + | 1.03402i | ||||
\(769\) | 21.5052i | 0.775496i | 0.921765 | + | 0.387748i | \(0.126747\pi\) | ||||
−0.921765 | + | 0.387748i | \(0.873253\pi\) | |||||||
\(770\) | −35.2452 | + | 37.6090i | −1.27015 | + | 1.35533i | ||||
\(771\) | −0.913029 | − | 0.378189i | −0.0328819 | − | 0.0136201i | ||||
\(772\) | −32.6480 | − | 2.56945i | −1.17503 | − | 0.0924767i | ||||
\(773\) | −8.14249 | + | 1.28964i | −0.292865 | + | 0.0463853i | −0.301138 | − | 0.953581i | \(-0.597367\pi\) |
0.00827318 | + | 0.999966i | \(0.497367\pi\) | |||||||
\(774\) | −1.00129 | + | 6.32188i | −0.0359905 | + | 0.227235i | ||||
\(775\) | −16.2000 | − | 13.8361i | −0.581919 | − | 0.497006i | ||||
\(776\) | 2.25890 | − | 2.64483i | 0.0810897 | − | 0.0949438i | ||||
\(777\) | 16.8451 | + | 10.3227i | 0.604315 | + | 0.370325i | ||||
\(778\) | −15.3219 | + | 21.0887i | −0.549315 | + | 0.756067i | ||||
\(779\) | −20.6373 | − | 24.1632i | −0.739408 | − | 0.865736i | ||||
\(780\) | 5.18596 | + | 5.18596i | 0.185687 | + | 0.185687i | ||||
\(781\) | −21.3667 | − | 12.1585i | −0.764559 | − | 0.435066i | ||||
\(782\) | −50.5881 | − | 31.5760i | −1.80903 | − | 1.12916i | ||||
\(783\) | −8.77422 | − | 27.0043i | −0.313565 | − | 0.965054i | ||||
\(784\) | −1.00914 | − | 6.37144i | −0.0360406 | − | 0.227551i | ||||
\(785\) | −28.2494 | + | 46.0989i | −1.00827 | + | 1.64534i | ||||
\(786\) | 34.1878 | + | 11.1083i | 1.21944 | + | 0.396220i | ||||
\(787\) | 2.44173 | − | 0.192168i | 0.0870383 | − | 0.00685006i | −0.0348652 | − | 0.999392i | \(-0.511100\pi\) |
0.121903 | + | 0.992542i | \(0.461100\pi\) | |||||||
\(788\) | −1.16129 | + | 0.278802i | −0.0413694 | + | 0.00993191i | ||||
\(789\) | −21.0298 | + | 12.8871i | −0.748682 | + | 0.458793i | ||||
\(790\) | 84.5450 | + | 43.0778i | 3.00798 | + | 1.53264i | ||||
\(791\) | −23.3469 | + | 23.3469i | −0.830119 | + | 0.830119i | ||||
\(792\) | −0.882288 | + | 0.685813i | −0.0313507 | + | 0.0243693i | ||||
\(793\) | 3.93142 | + | 1.62845i | 0.139609 | + | 0.0578279i | ||||
\(794\) | −17.1327 | + | 14.6327i | −0.608015 | + | 0.519294i | ||||
\(795\) | −8.72052 | + | 12.0028i | −0.309285 | + | 0.425694i | ||||
\(796\) | 17.4489 | − | 28.4740i | 0.618459 | − | 1.00923i | ||||
\(797\) | 25.4783 | − | 12.9819i | 0.902489 | − | 0.459841i | 0.0597806 | − | 0.998212i | \(-0.480960\pi\) |
0.842708 | + | 0.538371i | \(0.180960\pi\) | |||||||
\(798\) | 18.4670 | − | 56.8355i | 0.653724 | − | 2.01196i | ||||
\(799\) | 20.9646 | + | 7.00310i | 0.741676 | + | 0.247752i | ||||
\(800\) | −40.9949 | − | 29.7845i | −1.44939 | − | 1.05304i | ||||
\(801\) | −0.158198 | + | 0.310482i | −0.00558966 | + | 0.0109703i | ||||
\(802\) | 47.9024 | − | 19.8418i | 1.69149 | − | 0.700639i | ||||
\(803\) | 3.57339 | − | 1.61783i | 0.126102 | − | 0.0570919i | ||||
\(804\) | 12.3706 | + | 29.8652i | 0.436277 | + | 1.05327i | ||||
\(805\) | −4.86386 | + | 61.8012i | −0.171429 | + | 2.17821i | ||||
\(806\) | 3.52141 | − | 2.15792i | 0.124036 | − | 0.0760097i | ||||
\(807\) | 5.41246 | − | 34.1729i | 0.190527 | − | 1.20294i | ||||
\(808\) | −0.582335 | − | 1.14290i | −0.0204865 | − | 0.0402070i | ||||
\(809\) | 4.38327 | + | 3.74367i | 0.154108 | + | 0.131620i | 0.723159 | − | 0.690682i | \(-0.242689\pi\) |
−0.569051 | + | 0.822302i | \(0.692689\pi\) | |||||||
\(810\) | 65.1009 | − | 15.6293i | 2.28741 | − | 0.549159i | ||||
\(811\) | 1.08632 | − | 4.52484i | 0.0381458 | − | 0.158889i | −0.950046 | − | 0.312109i | \(-0.898965\pi\) |
0.988192 | + | 0.153221i | \(0.0489645\pi\) | |||||||
\(812\) | 22.0609 | − | 7.16802i | 0.774186 | − | 0.251548i | ||||
\(813\) | −6.24521 | + | 2.58685i | −0.219029 | + | 0.0907248i | ||||
\(814\) | 28.2618 | + | 1.30395i | 0.990574 | + | 0.0457033i | ||||
\(815\) | −43.5480 | −1.52542 | ||||||||
\(816\) | 34.3617 | + | 8.54921i | 1.20290 | + | 0.299282i | ||||
\(817\) | 40.9286 | + | 29.7364i | 1.43191 | + | 1.04034i | ||||
\(818\) | 7.23881 | + | 1.14652i | 0.253099 | + | 0.0400870i | ||||
\(819\) | 0.0616223 | + | 0.782985i | 0.00215326 | + | 0.0273597i | ||||
\(820\) | 23.8111 | + | 7.73669i | 0.831519 | + | 0.270177i | ||||
\(821\) | −12.2187 | − | 7.48766i | −0.426437 | − | 0.261321i | 0.292679 | − | 0.956211i | \(-0.405453\pi\) |
−0.719116 | + | 0.694890i | \(0.755453\pi\) | |||||||
\(822\) | 18.3338 | + | 29.9181i | 0.639466 | + | 1.04351i | ||||
\(823\) | −31.1283 | − | 2.44985i | −1.08506 | − | 0.0853964i | −0.476709 | − | 0.879061i | \(-0.658171\pi\) |
−0.608356 | + | 0.793665i | \(0.708171\pi\) | |||||||
\(824\) | −1.67507 | + | 1.67507i | −0.0583537 | + | 0.0583537i | ||||
\(825\) | 26.6087 | − | 33.2824i | 0.926395 | − | 1.15875i | ||||
\(826\) | 15.9480 | − | 38.5019i | 0.554901 | − | 1.33965i | ||||
\(827\) | −2.90246 | + | 36.8792i | −0.100928 | + | 1.28242i | 0.712881 | + | 0.701285i | \(0.247390\pi\) |
−0.813809 | + | 0.581132i | \(0.802610\pi\) | |||||||
\(828\) | 1.36314 | − | 5.67787i | 0.0473723 | − | 0.197320i | ||||
\(829\) | 11.1016 | + | 15.2800i | 0.385574 | + | 0.530697i | 0.957050 | − | 0.289921i | \(-0.0936291\pi\) |
−0.571476 | + | 0.820618i | \(0.693629\pi\) | |||||||
\(830\) | −0.0413747 | − | 0.525716i | −0.00143614 | − | 0.0182479i | ||||
\(831\) | 39.6972 | − | 20.2268i | 1.37708 | − | 0.701658i | ||||
\(832\) | 2.71350 | − | 1.97147i | 0.0940735 | − | 0.0683484i | ||||
\(833\) | −4.04738 | − | 4.11455i | −0.140233 | − | 0.142561i | ||||
\(834\) | 0.471670 | + | 1.45165i | 0.0163326 | + | 0.0502666i | ||||
\(835\) | −14.1239 | − | 14.1239i | −0.488778 | − | 0.488778i | ||||
\(836\) | −7.22879 | − | 37.6861i | −0.250013 | − | 1.30340i | ||||
\(837\) | − | 14.5531i | − | 0.503028i | ||||||
\(838\) | −25.7837 | + | 22.0213i | −0.890682 | + | 0.760714i | ||||
\(839\) | 16.0827 | + | 26.2447i | 0.555238 | + | 0.906066i | 0.999946 | + | 0.0103904i | \(0.00330744\pi\) |
−0.444708 | + | 0.895676i | \(0.646693\pi\) | |||||||
\(840\) | −2.53000 | − | 10.5382i | −0.0872933 | − | 0.363603i | ||||
\(841\) | 3.33684 | + | 6.54891i | 0.115063 | + | 0.225825i | ||||
\(842\) | 8.87211 | + | 17.4125i | 0.305753 | + | 0.600074i | ||||
\(843\) | 5.61360 | + | 23.3823i | 0.193343 | + | 0.805331i | ||||
\(844\) | 13.8821 | + | 22.6535i | 0.477841 | + | 0.779765i | ||||
\(845\) | 32.8004 | − | 28.0142i | 1.12837 | − | 0.963718i | ||||
\(846\) | 4.82679i | 0.165949i | ||||||||
\(847\) | −21.2669 | + | 15.0114i | −0.730739 | + | 0.515799i | ||||
\(848\) | 7.52222 | + | 7.52222i | 0.258314 | + | 0.258314i | ||||
\(849\) | −3.97076 | − | 12.2207i | −0.136276 | − | 0.419415i | ||||
\(850\) | −54.1251 | − | 0.445457i | −1.85647 | − | 0.0152790i | ||||
\(851\) | 27.5289 | − | 20.0009i | 0.943679 | − | 0.685623i | ||||
\(852\) | −20.0097 | + | 10.1954i | −0.685520 | + | 0.349290i | ||||
\(853\) | −0.0270637 | − | 0.343877i | −0.000926643 | − | 0.0117741i | 0.996437 | − | 0.0843448i | \(-0.0268797\pi\) |
−0.997363 | + | 0.0725707i | \(0.976880\pi\) | |||||||
\(854\) | 16.0578 | + | 22.1016i | 0.549486 | + | 0.756303i | ||||
\(855\) | −2.70923 | + | 11.2847i | −0.0926535 | + | 0.385930i | ||||
\(856\) | 0.285670 | − | 3.62979i | 0.00976401 | − | 0.124064i | ||||
\(857\) | 2.90398 | − | 7.01083i | 0.0991981 | − | 0.239485i | −0.866488 | − | 0.499198i | \(-0.833628\pi\) |
0.965686 | + | 0.259713i | \(0.0836279\pi\) | |||||||
\(858\) | 4.54227 | + | 6.89962i | 0.155071 | + | 0.235549i | ||||
\(859\) | −10.9195 | + | 10.9195i | −0.372569 | + | 0.372569i | −0.868412 | − | 0.495843i | \(-0.834859\pi\) |
0.495843 | + | 0.868412i | \(0.334859\pi\) | |||||||
\(860\) | −39.7368 | − | 3.12735i | −1.35501 | − | 0.106642i | ||||
\(861\) | 10.2889 | + | 16.7900i | 0.350646 | + | 0.572202i | ||||
\(862\) | 27.6160 | + | 16.9231i | 0.940605 | + | 0.576403i | ||||
\(863\) | −0.401207 | − | 0.130360i | −0.0136572 | − | 0.00443751i | 0.302180 | − | 0.953251i | \(-0.402285\pi\) |
−0.315838 | + | 0.948813i | \(0.602285\pi\) | |||||||
\(864\) | −2.71582 | − | 34.5078i | −0.0923942 | − | 1.17398i | ||||
\(865\) | 83.4732 | + | 13.2209i | 2.83817 | + | 0.449522i | ||||
\(866\) | 18.4042 | + | 13.3715i | 0.625402 | + | 0.454381i | ||||
\(867\) | 29.4645 | − | 11.6402i | 1.00067 | − | 0.395322i | ||||
\(868\) | 11.8890 | 0.403539 | ||||||||
\(869\) | 37.4302 | + | 29.9247i | 1.26973 | + | 1.01513i | ||||
\(870\) | −68.1680 | + | 28.2361i | −2.31111 | + | 0.957293i | ||||
\(871\) | −7.12230 | + | 2.31418i | −0.241330 | + | 0.0784129i | ||||
\(872\) | 0.0460578 | − | 0.191845i | 0.00155972 | − | 0.00649668i | ||||
\(873\) | 2.24432 | − | 0.538814i | 0.0759587 | − | 0.0182361i | ||||
\(874\) | −78.2676 | − | 66.8468i | −2.64744 | − | 2.26113i | ||||
\(875\) | 7.01870 | + | 13.7750i | 0.237275 | + | 0.465679i | ||||
\(876\) | 0.560546 | − | 3.53915i | 0.0189391 | − | 0.119577i | ||||
\(877\) | 15.0334 | − | 9.21249i | 0.507642 | − | 0.311084i | −0.244989 | − | 0.969526i | \(-0.578784\pi\) |
0.752631 | + | 0.658442i | \(0.228784\pi\) | |||||||
\(878\) | 3.13676 | − | 39.8563i | 0.105861 | − | 1.34509i | ||||
\(879\) | −20.3921 | − | 49.2308i | −0.687807 | − | 1.66051i | ||||
\(880\) | −35.5159 | − | 38.9517i | −1.19724 | − | 1.31306i | ||||
\(881\) | −17.0444 | + | 7.06004i | −0.574242 | + | 0.237859i | −0.650855 | − | 0.759202i | \(-0.725589\pi\) |
0.0766132 | + | 0.997061i | \(0.475589\pi\) | |||||||
\(882\) | 0.572188 | − | 1.12298i | 0.0192666 | − | 0.0378128i | ||||
\(883\) | 2.15886 | + | 1.56850i | 0.0726514 | + | 0.0527843i | 0.623518 | − | 0.781809i | \(-0.285703\pi\) |
−0.550867 | + | 0.834593i | \(0.685703\pi\) | |||||||
\(884\) | 1.49069 | − | 4.46258i | 0.0501375 | − | 0.150093i | ||||
\(885\) | −18.3678 | + | 56.5304i | −0.617428 | + | 1.90025i | ||||
\(886\) | 38.4985 | − | 19.6160i | 1.29338 | − | 0.659011i | ||||
\(887\) | −23.3244 | + | 38.0620i | −0.783158 | + | 1.27800i | 0.172935 | + | 0.984933i | \(0.444675\pi\) |
−0.956093 | + | 0.293064i | \(0.905325\pi\) | |||||||
\(888\) | −3.49661 | + | 4.81267i | −0.117339 | + | 0.161503i | ||||
\(889\) | 23.4093 | − | 19.9935i | 0.785124 | − | 0.670559i | ||||
\(890\) | −4.47113 | − | 1.85200i | −0.149873 | − | 0.0620792i | ||||
\(891\) | 33.7951 | − | 1.09650i | 1.13218 | − | 0.0367343i | ||||
\(892\) | 20.0613 | − | 20.0613i | 0.671701 | − | 0.671701i | ||||
\(893\) | 33.9925 | + | 17.3200i | 1.13752 | + | 0.579593i | ||||
\(894\) | −17.8608 | + | 10.9451i | −0.597354 | + | 0.366059i | ||||
\(895\) | −9.95620 | + | 2.39027i | −0.332799 | + | 0.0798980i | ||||
\(896\) | −13.2131 | + | 1.03989i | −0.441417 | + | 0.0347403i | ||||
\(897\) | 9.44901 | + | 3.07017i | 0.315493 | + | 0.102510i | ||||
\(898\) | −25.1952 | + | 41.1149i | −0.840776 | + | 1.37202i | ||||
\(899\) | 2.91451 | + | 18.4015i | 0.0972043 | + | 0.613724i | ||||
\(900\) | −1.63778 | − | 5.04058i | −0.0545928 | − | 0.168019i | ||||
\(901\) | 9.38804 | + | 1.56623i | 0.312761 | + | 0.0521786i | ||||
\(902\) | 24.5090 | + | 13.9466i | 0.816061 | + | 0.464372i | ||||
\(903\) | −22.1682 | − | 22.1682i | −0.737713 | − | 0.737713i | ||||
\(904\) | −6.45667 | − | 7.55979i | −0.214746 | − | 0.251435i | ||||
\(905\) | −10.9987 | + | 15.1384i | −0.365610 | + | 0.503219i | ||||
\(906\) | −31.8878 | − | 19.5409i | −1.05940 | − | 0.649202i | ||||
\(907\) | 24.8662 | − | 29.1146i | 0.825669 | − | 0.966734i | −0.174169 | − | 0.984716i | \(-0.555724\pi\) |
0.999838 | + | 0.0179817i | \(0.00572406\pi\) | |||||||
\(908\) | −28.6225 | − | 24.4460i | −0.949872 | − | 0.811268i | ||||
\(909\) | 0.133156 | − | 0.840712i | 0.00441650 | − | 0.0278847i | ||||
\(910\) | −10.7736 | + | 1.70637i | −0.357141 | + | 0.0565656i | ||||
\(911\) | −49.9843 | − | 3.93385i | −1.65606 | − | 0.130334i | −0.784335 | − | 0.620338i | \(-0.786996\pi\) |
−0.871721 | + | 0.490003i | \(0.836996\pi\) | |||||||
\(912\) | 56.4645 | + | 23.3884i | 1.86973 | + | 0.774467i | ||||
\(913\) | 0.0331108 | − | 0.264263i | 0.00109581 | − | 0.00874582i | ||||
\(914\) | − | 49.1945i | − | 1.62721i | ||||||
\(915\) | −25.3058 | − | 29.6293i | −0.836585 | − | 0.979515i | ||||
\(916\) | 1.04423 | + | 6.59301i | 0.0345023 | + | 0.217839i | ||||
\(917\) | −19.3946 | + | 14.0910i | −0.640465 | + | 0.465325i | ||||
\(918\) | −23.7807 | − | 28.3121i | −0.784879 | − | 0.934439i | ||||
\(919\) | −17.9996 | + | 55.3969i | −0.593750 | + | 1.82738i | −0.0329001 | + | 0.999459i | \(0.510474\pi\) |
−0.560850 | + | 0.827917i | \(0.689526\pi\) | |||||||
\(920\) | −18.4365 | − | 2.92005i | −0.607833 | − | 0.0962713i | ||||
\(921\) | 20.1951 | + | 4.84841i | 0.665451 | + | 0.159761i | ||||
\(922\) | −45.7610 | + | 14.8687i | −1.50706 | + | 0.489673i | ||||
\(923\) | −1.99096 | − | 4.80660i | −0.0655332 | − | 0.158211i | ||||
\(924\) | 0.771139 | + | 23.7671i | 0.0253686 | + | 0.781879i | ||||
\(925\) | 11.8193 | − | 28.5343i | 0.388616 | − | 0.938201i | ||||
\(926\) | −70.8516 | − | 36.1007i | −2.32833 | − | 1.18634i | ||||
\(927\) | −1.55263 | + | 0.245913i | −0.0509951 | + | 0.00807683i | ||||
\(928\) | 10.3448 | + | 43.0892i | 0.339584 | + | 1.41447i | ||||
\(929\) | −28.4602 | + | 33.3226i | −0.933748 | + | 1.09328i | 0.0617122 | + | 0.998094i | \(0.480344\pi\) |
−0.995460 | + | 0.0951839i | \(0.969656\pi\) | |||||||
\(930\) | −37.7010 | + | 2.96713i | −1.23626 | + | 0.0972960i | ||||
\(931\) | −5.85537 | − | 8.05923i | −0.191902 | − | 0.264131i | ||||
\(932\) | −2.41165 | − | 0.578987i | −0.0789963 | − | 0.0189653i | ||||
\(933\) | −5.41644 | + | 10.6304i | −0.177326 | + | 0.348022i | ||||
\(934\) | −72.8720 | −2.38445 | ||||||||
\(935\) | −46.1116 | − | 9.89659i | −1.50801 | − | 0.323653i | ||||
\(936\) | −0.236491 | −0.00772995 | ||||||||
\(937\) | 9.90709 | − | 19.4438i | 0.323650 | − | 0.635200i | −0.670655 | − | 0.741770i | \(-0.733987\pi\) |
0.994305 | + | 0.106570i | \(0.0339868\pi\) | |||||||
\(938\) | −46.7497 | − | 11.2236i | −1.52643 | − | 0.366464i | ||||
\(939\) | −30.7268 | − | 42.2918i | −1.00273 | − | 1.38014i | ||||
\(940\) | −29.9658 | + | 2.35836i | −0.977376 | + | 0.0769211i | ||||
\(941\) | 0.210740 | − | 0.246745i | 0.00686994 | − | 0.00804366i | −0.756960 | − | 0.653461i | \(-0.773316\pi\) |
0.763830 | + | 0.645417i | \(0.223316\pi\) | |||||||
\(942\) | 12.9863 | + | 54.0918i | 0.423116 | + | 1.76241i | ||||
\(943\) | 33.4987 | − | 5.30568i | 1.09087 | − | 0.172777i | ||||
\(944\) | 37.9747 | + | 19.3491i | 1.23597 | + | 0.629758i | ||||
\(945\) | −14.7090 | + | 35.5107i | −0.478485 | + | 1.15516i | ||||
\(946\) | −43.1252 | − | 12.4814i | −1.40212 | − | 0.405806i | ||||
\(947\) | 0.499194 | + | 1.20516i | 0.0162216 | + | 0.0391624i | 0.931783 | − | 0.363016i | \(-0.118253\pi\) |
−0.915561 | + | 0.402179i | \(0.868253\pi\) | |||||||
\(948\) | 41.6342 | − | 13.5278i | 1.35221 | − | 0.439361i | ||||
\(949\) | 0.807187 | + | 0.193788i | 0.0262024 | + | 0.00629064i | ||||
\(950\) | −92.2734 | − | 14.6147i | −2.99374 | − | 0.474163i | ||||
\(951\) | 17.1289 | − | 52.7174i | 0.555444 | − | 1.70948i | ||||
\(952\) | −5.32379 | + | 4.47170i | −0.172545 | + | 0.144929i | ||||
\(953\) | −5.95136 | + | 4.32392i | −0.192784 | + | 0.140065i | −0.679990 | − | 0.733221i | \(-0.738016\pi\) |
0.487206 | + | 0.873287i | \(0.338016\pi\) | |||||||
\(954\) | 0.325139 | + | 2.05284i | 0.0105268 | + | 0.0664633i | ||||
\(955\) | 53.5538 | + | 62.7035i | 1.73296 | + | 2.02904i | ||||
\(956\) | 33.9122i | 1.09680i | ||||||||
\(957\) | −36.5970 | + | 7.01989i | −1.18301 | + | 0.226921i | ||||
\(958\) | 24.9318 | + | 10.3271i | 0.805511 | + | 0.333654i | ||||
\(959\) | −23.3284 | − | 1.83598i | −0.753313 | − | 0.0592870i | ||||
\(960\) | −30.3343 | + | 4.80448i | −0.979034 | + | 0.155064i | ||||
\(961\) | 3.35566 | − | 21.1868i | 0.108247 | − | 0.683446i | ||||
\(962\) | 4.55281 | + | 3.88847i | 0.146789 | + | 0.125369i | ||||
\(963\) | 1.56916 | − | 1.83725i | 0.0505655 | − | 0.0592046i | ||||
\(964\) | −19.9697 | − | 12.2374i | −0.643179 | − | 0.394141i | ||||
\(965\) | −40.8340 | + | 56.2032i | −1.31449 | + | 1.80924i | ||||
\(966\) | 41.4245 | + | 48.5019i | 1.33281 | + | 1.56052i | ||||
\(967\) | 9.84821 | + | 9.84821i | 0.316697 | + | 0.316697i | 0.847497 | − | 0.530800i | \(-0.178108\pi\) |
−0.530800 | + | 0.847497i | \(0.678108\pi\) | |||||||
\(968\) | −4.00368 | − | 6.73850i | −0.128683 | − | 0.216584i | ||||
\(969\) | 53.2733 | − | 12.3270i | 1.71138 | − | 0.396000i | ||||
\(970\) | 9.90563 | + | 30.4864i | 0.318051 | + | 0.978859i | ||||
\(971\) | −2.66583 | − | 16.8314i | −0.0855505 | − | 0.540145i | −0.992822 | − | 0.119600i | \(-0.961839\pi\) |
0.907272 | − | 0.420545i | \(-0.138161\pi\) | |||||||
\(972\) | 4.13729 | − | 6.75144i | 0.132704 | − | 0.216553i | ||||
\(973\) | −0.968099 | − | 0.314554i | −0.0310358 | − | 0.0100842i | ||||
\(974\) | 5.65532 | − | 0.445083i | 0.181208 | − | 0.0142614i | ||||
\(975\) | 8.76863 | − | 2.10516i | 0.280821 | − | 0.0674191i | ||||
\(976\) | −23.8221 | + | 14.5982i | −0.762526 | + | 0.467277i | ||||
\(977\) | 14.5800 | + | 7.42889i | 0.466456 | + | 0.237671i | 0.671389 | − | 0.741105i | \(-0.265698\pi\) |
−0.204934 | + | 0.978776i | \(0.565698\pi\) | |||||||
\(978\) | −31.6832 | + | 31.6832i | −1.01312 | + | 1.01312i | ||||
\(979\) | −2.02291 | − | 1.37176i | −0.0646525 | − | 0.0438416i | ||||
\(980\) | 7.25129 | + | 3.00358i | 0.231634 | + | 0.0959459i | ||||
\(981\) | 0.0995555 | − | 0.0850284i | 0.00317856 | − | 0.00271475i | ||||
\(982\) | 21.7934 | − | 29.9961i | 0.695456 | − | 0.957213i | ||||
\(983\) | 20.1407 | − | 32.8667i | 0.642390 | − | 1.04829i | −0.351315 | − | 0.936257i | \(-0.614265\pi\) |
0.993705 | − | 0.112028i | \(-0.0357346\pi\) | |||||||
\(984\) | −5.28307 | + | 2.69186i | −0.168418 | + | 0.0858133i | ||||
\(985\) | −0.782886 | + | 2.40948i | −0.0249448 | + | 0.0767723i | ||||
\(986\) | 35.7392 | + | 31.0365i | 1.13817 | + | 0.988403i | ||||
\(987\) | −19.1265 | − | 13.8963i | −0.608805 | − | 0.442323i | ||||
\(988\) | 3.68678 | − | 7.23572i | 0.117292 | − | 0.230199i | ||||
\(989\) | −49.8867 | + | 20.6637i | −1.58630 | + | 0.657069i | ||||
\(990\) | −1.14056 | − | 10.2355i | −0.0362495 | − | 0.325306i | ||||
\(991\) | 1.66236 | + | 4.01329i | 0.0528065 | + | 0.127486i | 0.948081 | − | 0.318028i | \(-0.103021\pi\) |
−0.895275 | + | 0.445515i | \(0.853021\pi\) | |||||||
\(992\) | −1.78200 | + | 22.6425i | −0.0565786 | + | 0.718899i | ||||
\(993\) | −17.7340 | + | 10.8674i | −0.562770 | + | 0.344866i | ||||
\(994\) | 5.22502 | − | 32.9895i | 0.165728 | − | 1.04636i | ||||
\(995\) | −32.1614 | − | 63.1202i | −1.01958 | − | 2.00105i | ||||
\(996\) | −0.185001 | − | 0.158006i | −0.00586198 | − | 0.00500660i | ||||
\(997\) | 40.4869 | − | 9.72005i | 1.28223 | − | 0.307837i | 0.465601 | − | 0.884995i | \(-0.345838\pi\) |
0.816633 | + | 0.577158i | \(0.195838\pi\) | |||||||
\(998\) | 8.93240 | − | 37.2061i | 0.282750 | − | 1.17774i | ||||
\(999\) | 20.0652 | − | 6.51959i | 0.634836 | − | 0.206271i |
(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 | 187.2.r.a.104.14 | yes | 256 | |
11.9 | even | 5 | inner | 187.2.r.a.53.3 | yes | 256 | |
17.9 | even | 8 | inner | 187.2.r.a.60.3 | yes | 256 | |
187.9 | even | 40 | inner | 187.2.r.a.9.14 | ✓ | 256 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
187.2.r.a.9.14 | ✓ | 256 | 187.9 | even | 40 | inner | |
187.2.r.a.53.3 | yes | 256 | 11.9 | even | 5 | inner | |
187.2.r.a.60.3 | yes | 256 | 17.9 | even | 8 | inner | |
187.2.r.a.104.14 | yes | 256 | 1.1 | even | 1 | trivial |