Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [690,2,Mod(11,690)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(690, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([11, 0, 9]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("690.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 690 = 2 \cdot 3 \cdot 5 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 690.q (of order \(22\), degree \(10\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(5.50967773947\) |
Analytic rank: | \(0\) |
Dimension: | \(160\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{22})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{22}]$ |
Embedding invariants
Embedding label | 251.5 | ||
Character | \(\chi\) | \(=\) | 690.251 |
Dual form | 690.2.q.a.11.5 |
$q$-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 \(\left(\mathbb{Z}/690\mathbb{Z}\right)^\times\).
\(n\) | \(277\) | \(461\) | \(511\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(e\left(\frac{13}{22}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.540641 | + | 0.841254i | −0.382291 | + | 0.594856i | ||||
\(3\) | 0.0741266 | + | 1.73046i | 0.0427970 | + | 0.999084i | ||||
\(4\) | −0.415415 | − | 0.909632i | −0.207708 | − | 0.454816i | ||||
\(5\) | −0.959493 | − | 0.281733i | −0.429098 | − | 0.125995i | ||||
\(6\) | −1.49583 | − | 0.873200i | −0.610672 | − | 0.356482i | ||||
\(7\) | 1.57600 | + | 1.36561i | 0.595672 | + | 0.516153i | 0.899699 | − | 0.436511i | \(-0.143786\pi\) |
−0.304027 | + | 0.952663i | \(0.598331\pi\) | |||||||
\(8\) | 0.989821 | + | 0.142315i | 0.349955 | + | 0.0503159i | ||||
\(9\) | −2.98901 | + | 0.256547i | −0.996337 | + | 0.0855156i | ||||
\(10\) | 0.755750 | − | 0.654861i | 0.238989 | − | 0.207085i | ||||
\(11\) | −1.24535 | + | 0.800337i | −0.375487 | + | 0.241311i | −0.714749 | − | 0.699381i | \(-0.753459\pi\) |
0.339262 | + | 0.940692i | \(0.389823\pi\) | |||||||
\(12\) | 1.54329 | − | 0.786289i | 0.445510 | − | 0.226982i | ||||
\(13\) | 2.35898 | + | 2.72241i | 0.654263 | + | 0.755060i | 0.981829 | − | 0.189768i | \(-0.0607737\pi\) |
−0.327566 | + | 0.944828i | \(0.606228\pi\) | |||||||
\(14\) | −2.00088 | + | 0.587510i | −0.534756 | + | 0.157019i | ||||
\(15\) | 0.416404 | − | 1.68125i | 0.107515 | − | 0.434097i | ||||
\(16\) | −0.654861 | + | 0.755750i | −0.163715 | + | 0.188937i | ||||
\(17\) | −0.644355 | + | 1.41094i | −0.156279 | + | 0.342204i | −0.971535 | − | 0.236898i | \(-0.923869\pi\) |
0.815255 | + | 0.579102i | \(0.196597\pi\) | |||||||
\(18\) | 1.40016 | − | 2.65322i | 0.330021 | − | 0.625369i | ||||
\(19\) | −3.96292 | + | 1.80980i | −0.909156 | + | 0.415198i | −0.814401 | − | 0.580303i | \(-0.802934\pi\) |
−0.0947555 | + | 0.995501i | \(0.530207\pi\) | |||||||
\(20\) | 0.142315 | + | 0.989821i | 0.0318226 | + | 0.221331i | ||||
\(21\) | −2.24632 | + | 2.82844i | −0.490187 | + | 0.617216i | ||||
\(22\) | − | 1.48035i | − | 0.315611i | ||||||
\(23\) | −4.70815 | − | 0.912857i | −0.981717 | − | 0.190344i | ||||
\(24\) | −0.172899 | + | 1.72340i | −0.0352928 | + | 0.351787i | ||||
\(25\) | 0.841254 | + | 0.540641i | 0.168251 | + | 0.108128i | ||||
\(26\) | −3.56560 | + | 0.512655i | −0.699271 | + | 0.100540i | ||||
\(27\) | −0.665511 | − | 5.15336i | −0.128078 | − | 0.991764i | ||||
\(28\) | 0.587510 | − | 2.00088i | 0.111029 | − | 0.378130i | ||||
\(29\) | −3.46045 | − | 1.58033i | −0.642589 | − | 0.293461i | 0.0673438 | − | 0.997730i | \(-0.478548\pi\) |
−0.709933 | + | 0.704269i | \(0.751275\pi\) | |||||||
\(30\) | 1.18923 | + | 1.25925i | 0.217123 | + | 0.229907i | ||||
\(31\) | −0.782046 | + | 5.43925i | −0.140460 | + | 0.976918i | 0.790673 | + | 0.612238i | \(0.209731\pi\) |
−0.931133 | + | 0.364680i | \(0.881178\pi\) | |||||||
\(32\) | −0.281733 | − | 0.959493i | −0.0498038 | − | 0.169616i | ||||
\(33\) | −1.47727 | − | 2.09570i | −0.257159 | − | 0.364815i | ||||
\(34\) | −0.838595 | − | 1.30488i | −0.143818 | − | 0.223785i | ||||
\(35\) | −1.12742 | − | 1.75431i | −0.190569 | − | 0.296532i | ||||
\(36\) | 1.47504 | + | 2.61233i | 0.245841 | + | 0.435388i | ||||
\(37\) | −0.926782 | − | 3.15633i | −0.152362 | − | 0.518897i | 0.847569 | − | 0.530686i | \(-0.178066\pi\) |
−0.999931 | + | 0.0117887i | \(0.996247\pi\) | |||||||
\(38\) | 0.620012 | − | 4.31228i | 0.100579 | − | 0.699543i | ||||
\(39\) | −4.53617 | + | 4.28393i | −0.726368 | + | 0.685978i | ||||
\(40\) | −0.909632 | − | 0.415415i | −0.143825 | − | 0.0656829i | ||||
\(41\) | 0.215704 | − | 0.734621i | 0.0336873 | − | 0.114729i | −0.940933 | − | 0.338593i | \(-0.890049\pi\) |
0.974620 | + | 0.223864i | \(0.0718673\pi\) | |||||||
\(42\) | −1.16498 | − | 3.41889i | −0.179761 | − | 0.527547i | ||||
\(43\) | −0.970313 | + | 0.139510i | −0.147971 | + | 0.0212751i | −0.215902 | − | 0.976415i | \(-0.569269\pi\) |
0.0679310 | + | 0.997690i | \(0.478360\pi\) | |||||||
\(44\) | 1.24535 | + | 0.800337i | 0.187743 | + | 0.120655i | ||||
\(45\) | 2.94021 | + | 0.595947i | 0.438301 | + | 0.0888385i | ||||
\(46\) | 3.31336 | − | 3.46722i | 0.488529 | − | 0.511214i | ||||
\(47\) | 3.52324i | 0.513917i | 0.966422 | + | 0.256959i | \(0.0827204\pi\) | ||||
−0.966422 | + | 0.256959i | \(0.917280\pi\) | |||||||
\(48\) | −1.35634 | − | 1.07719i | −0.195771 | − | 0.155479i | ||||
\(49\) | −0.377323 | − | 2.62434i | −0.0539034 | − | 0.374906i | ||||
\(50\) | −0.909632 | + | 0.415415i | −0.128641 | + | 0.0587486i | ||||
\(51\) | −2.48935 | − | 1.01045i | −0.348578 | − | 0.141491i | ||||
\(52\) | 1.49643 | − | 3.27673i | 0.207518 | − | 0.454401i | ||||
\(53\) | 0.0457414 | − | 0.0527884i | 0.00628307 | − | 0.00725104i | −0.752599 | − | 0.658479i | \(-0.771200\pi\) |
0.758882 | + | 0.651228i | \(0.225746\pi\) | |||||||
\(54\) | 4.69508 | + | 2.22625i | 0.638920 | + | 0.302955i | ||||
\(55\) | 1.42038 | − | 0.417062i | 0.191525 | − | 0.0562367i | ||||
\(56\) | 1.36561 | + | 1.57600i | 0.182488 | + | 0.210602i | ||||
\(57\) | −3.42556 | − | 6.72354i | −0.453727 | − | 0.890554i | ||||
\(58\) | 3.20032 | − | 2.05672i | 0.420223 | − | 0.270061i | ||||
\(59\) | −3.63188 | + | 3.14705i | −0.472831 | + | 0.409710i | −0.858410 | − | 0.512964i | \(-0.828547\pi\) |
0.385579 | + | 0.922675i | \(0.374002\pi\) | |||||||
\(60\) | −1.70230 | + | 0.319643i | −0.219766 | + | 0.0412657i | ||||
\(61\) | 7.47445 | + | 1.07466i | 0.957005 | + | 0.137597i | 0.603083 | − | 0.797678i | \(-0.293939\pi\) |
0.353922 | + | 0.935275i | \(0.384848\pi\) | |||||||
\(62\) | −4.15298 | − | 3.59858i | −0.527429 | − | 0.457020i | ||||
\(63\) | −5.06102 | − | 3.67751i | −0.637629 | − | 0.463323i | ||||
\(64\) | 0.959493 | + | 0.281733i | 0.119937 | + | 0.0352166i | ||||
\(65\) | −1.49643 | − | 3.27673i | −0.185610 | − | 0.406429i | ||||
\(66\) | 2.56169 | − | 0.109733i | 0.315322 | − | 0.0135072i | ||||
\(67\) | −2.17671 | + | 3.38702i | −0.265927 | + | 0.413791i | −0.948379 | − | 0.317140i | \(-0.897277\pi\) |
0.682451 | + | 0.730931i | \(0.260914\pi\) | |||||||
\(68\) | 1.55111 | 0.188100 | ||||||||
\(69\) | 1.23067 | − | 8.21495i | 0.148155 | − | 0.988964i | ||||
\(70\) | 2.08535 | 0.249247 | ||||||||
\(71\) | 0.353774 | − | 0.550483i | 0.0419853 | − | 0.0653303i | −0.819626 | − | 0.572898i | \(-0.805819\pi\) |
0.861612 | + | 0.507568i | \(0.169455\pi\) | |||||||
\(72\) | −2.99510 | − | 0.171445i | −0.352976 | − | 0.0202050i | ||||
\(73\) | −2.57958 | − | 5.64850i | −0.301917 | − | 0.661107i | 0.696487 | − | 0.717569i | \(-0.254745\pi\) |
−0.998405 | + | 0.0564621i | \(0.982018\pi\) | |||||||
\(74\) | 3.15633 | + | 0.926782i | 0.366916 | + | 0.107736i | ||||
\(75\) | −0.873200 | + | 1.49583i | −0.100828 | + | 0.172724i | ||||
\(76\) | 3.29251 | + | 2.85298i | 0.377677 | + | 0.327259i | ||||
\(77\) | −3.05562 | − | 0.439332i | −0.348220 | − | 0.0500665i | ||||
\(78\) | −1.15144 | − | 6.13213i | −0.130375 | − | 0.694328i | ||||
\(79\) | −2.27327 | + | 1.96980i | −0.255763 | + | 0.221620i | −0.773299 | − | 0.634042i | \(-0.781395\pi\) |
0.517536 | + | 0.855661i | \(0.326849\pi\) | |||||||
\(80\) | 0.841254 | − | 0.540641i | 0.0940550 | − | 0.0604455i | ||||
\(81\) | 8.86837 | − | 1.53364i | 0.985374 | − | 0.170405i | ||||
\(82\) | 0.501384 | + | 0.578628i | 0.0553686 | + | 0.0638988i | ||||
\(83\) | 2.07167 | − | 0.608297i | 0.227395 | − | 0.0667693i | −0.166050 | − | 0.986117i | \(-0.553101\pi\) |
0.393445 | + | 0.919348i | \(0.371283\pi\) | |||||||
\(84\) | 3.50599 | + | 0.868347i | 0.382535 | + | 0.0947444i | ||||
\(85\) | 1.01576 | − | 1.17225i | 0.110175 | − | 0.127149i | ||||
\(86\) | 0.407228 | − | 0.891704i | 0.0439125 | − | 0.0961549i | ||||
\(87\) | 2.47820 | − | 6.10533i | 0.265691 | − | 0.654560i | ||||
\(88\) | −1.34657 | + | 0.614959i | −0.143545 | + | 0.0655548i | ||||
\(89\) | 1.04365 | + | 7.25875i | 0.110627 | + | 0.769426i | 0.967312 | + | 0.253588i | \(0.0816106\pi\) |
−0.856686 | + | 0.515839i | \(0.827480\pi\) | |||||||
\(90\) | −2.09094 | + | 2.15127i | −0.220405 | + | 0.226764i | ||||
\(91\) | 7.51197i | 0.787468i | ||||||||
\(92\) | 1.12547 | + | 4.66190i | 0.117339 | + | 0.486037i | ||||
\(93\) | −9.47039 | − | 0.950109i | −0.982034 | − | 0.0985217i | ||||
\(94\) | −2.96394 | − | 1.90481i | −0.305707 | − | 0.196466i | ||||
\(95\) | 4.31228 | − | 0.620012i | 0.442430 | − | 0.0636118i | ||||
\(96\) | 1.63948 | − | 0.558652i | 0.167329 | − | 0.0570172i | ||||
\(97\) | 3.51291 | − | 11.9639i | 0.356682 | − | 1.21475i | −0.564441 | − | 0.825473i | \(-0.690908\pi\) |
0.921123 | − | 0.389273i | \(-0.127274\pi\) | |||||||
\(98\) | 2.41173 | + | 1.10140i | 0.243622 | + | 0.111258i | ||||
\(99\) | 3.51703 | − | 2.71171i | 0.353475 | − | 0.272537i | ||||
\(100\) | 0.142315 | − | 0.989821i | 0.0142315 | − | 0.0989821i | ||||
\(101\) | 4.47753 | + | 15.2491i | 0.445531 | + | 1.51734i | 0.810172 | + | 0.586192i | \(0.199374\pi\) |
−0.364641 | + | 0.931148i | \(0.618808\pi\) | |||||||
\(102\) | 2.19588 | − | 1.54788i | 0.217425 | − | 0.153263i | ||||
\(103\) | 1.59645 | + | 2.48413i | 0.157303 | + | 0.244769i | 0.910955 | − | 0.412505i | \(-0.135346\pi\) |
−0.753652 | + | 0.657274i | \(0.771710\pi\) | |||||||
\(104\) | 1.94753 | + | 3.03042i | 0.190971 | + | 0.297157i | ||||
\(105\) | 2.95219 | − | 2.08101i | 0.288104 | − | 0.203085i | ||||
\(106\) | 0.0196788 | + | 0.0670197i | 0.00191137 | + | 0.00650953i | ||||
\(107\) | −1.66777 | + | 11.5996i | −0.161230 | + | 1.12138i | 0.735090 | + | 0.677969i | \(0.237140\pi\) |
−0.896320 | + | 0.443408i | \(0.853769\pi\) | |||||||
\(108\) | −4.41120 | + | 2.74615i | −0.424468 | + | 0.264249i | ||||
\(109\) | −13.3090 | − | 6.07804i | −1.27477 | − | 0.582170i | −0.341011 | − | 0.940059i | \(-0.610769\pi\) |
−0.933764 | + | 0.357889i | \(0.883497\pi\) | |||||||
\(110\) | −0.417062 | + | 1.42038i | −0.0397653 | + | 0.135428i | ||||
\(111\) | 5.39321 | − | 1.83773i | 0.511901 | − | 0.174430i | ||||
\(112\) | −2.06412 | + | 0.296776i | −0.195041 | + | 0.0280427i | ||||
\(113\) | 8.88865 | + | 5.71239i | 0.836174 | + | 0.537376i | 0.887234 | − | 0.461319i | \(-0.152624\pi\) |
−0.0510602 | + | 0.998696i | \(0.516260\pi\) | |||||||
\(114\) | 7.50820 | + | 0.753253i | 0.703207 | + | 0.0705486i | ||||
\(115\) | 4.26026 | + | 2.20232i | 0.397271 | + | 0.205367i | ||||
\(116\) | 3.80423i | 0.353214i | ||||||||
\(117\) | −7.74944 | − | 7.53212i | −0.716436 | − | 0.696345i | ||||
\(118\) | −0.683918 | − | 4.75676i | −0.0629598 | − | 0.437895i | ||||
\(119\) | −2.94230 | + | 1.34370i | −0.269720 | + | 0.123177i | ||||
\(120\) | 0.651433 | − | 1.60488i | 0.0594674 | − | 0.146505i | ||||
\(121\) | −3.65921 | + | 8.01256i | −0.332656 | + | 0.728414i | ||||
\(122\) | −4.94506 | + | 5.70690i | −0.447705 | + | 0.516679i | ||||
\(123\) | 1.28722 | + | 0.318813i | 0.116065 | + | 0.0287464i | ||||
\(124\) | 5.27259 | − | 1.54817i | 0.473492 | − | 0.139030i | ||||
\(125\) | −0.654861 | − | 0.755750i | −0.0585725 | − | 0.0675963i | ||||
\(126\) | 5.82991 | − | 2.26939i | 0.519370 | − | 0.202174i | ||||
\(127\) | 0.315342 | − | 0.202658i | 0.0279820 | − | 0.0179830i | −0.526575 | − | 0.850129i | \(-0.676524\pi\) |
0.554557 | + | 0.832146i | \(0.312888\pi\) | |||||||
\(128\) | −0.755750 | + | 0.654861i | −0.0667995 | + | 0.0578821i | ||||
\(129\) | −0.313343 | − | 1.66875i | −0.0275883 | − | 0.146925i | ||||
\(130\) | 3.56560 | + | 0.512655i | 0.312724 | + | 0.0449629i | ||||
\(131\) | 11.6342 | + | 10.0811i | 1.01648 | + | 0.880787i | 0.992902 | − | 0.118934i | \(-0.0379478\pi\) |
0.0235808 | + | 0.999722i | \(0.492493\pi\) | |||||||
\(132\) | −1.29264 | + | 2.21436i | −0.112510 | + | 0.192735i | ||||
\(133\) | −8.71705 | − | 2.55956i | −0.755864 | − | 0.221942i | ||||
\(134\) | −1.67253 | − | 3.66233i | −0.144484 | − | 0.316377i | ||||
\(135\) | −0.813316 | + | 5.13211i | −0.0699991 | + | 0.441701i | ||||
\(136\) | −0.838595 | + | 1.30488i | −0.0719089 | + | 0.111892i | ||||
\(137\) | 5.86299 | 0.500909 | 0.250455 | − | 0.968128i | \(-0.419420\pi\) | ||||
0.250455 | + | 0.968128i | \(0.419420\pi\) | |||||||
\(138\) | 6.24551 | + | 5.47664i | 0.531653 | + | 0.466203i | ||||
\(139\) | −3.49925 | −0.296802 | −0.148401 | − | 0.988927i | \(-0.547413\pi\) | ||||
−0.148401 | + | 0.988927i | \(0.547413\pi\) | |||||||
\(140\) | −1.12742 | + | 1.75431i | −0.0952847 | + | 0.148266i | ||||
\(141\) | −6.09684 | + | 0.261166i | −0.513446 | + | 0.0219941i | ||||
\(142\) | 0.271831 | + | 0.595227i | 0.0228116 | + | 0.0499504i | ||||
\(143\) | −5.11659 | − | 1.50237i | −0.427871 | − | 0.125634i | ||||
\(144\) | 1.76350 | − | 2.42695i | 0.146958 | − | 0.202245i | ||||
\(145\) | 2.87505 | + | 2.49124i | 0.238760 | + | 0.206886i | ||||
\(146\) | 6.14645 | + | 0.883726i | 0.508684 | + | 0.0731377i | ||||
\(147\) | 4.51336 | − | 0.847478i | 0.372256 | − | 0.0698988i | ||||
\(148\) | −2.48610 | + | 2.15422i | −0.204356 | + | 0.177076i | ||||
\(149\) | −19.7702 | + | 12.7056i | −1.61964 | + | 1.04088i | −0.663415 | + | 0.748251i | \(0.730894\pi\) |
−0.956226 | + | 0.292629i | \(0.905470\pi\) | |||||||
\(150\) | −0.786289 | − | 1.54329i | −0.0642002 | − | 0.126009i | ||||
\(151\) | 14.9887 | + | 17.2979i | 1.21976 | + | 1.40768i | 0.885137 | + | 0.465331i | \(0.154065\pi\) |
0.334626 | + | 0.942351i | \(0.391390\pi\) | |||||||
\(152\) | −4.18015 | + | 1.22740i | −0.339055 | + | 0.0995554i | ||||
\(153\) | 1.56401 | − | 4.38263i | 0.126443 | − | 0.354314i | ||||
\(154\) | 2.02158 | − | 2.33303i | 0.162904 | − | 0.188001i | ||||
\(155\) | 2.28278 | − | 4.99859i | 0.183357 | − | 0.401497i | ||||
\(156\) | 5.78119 | + | 2.34663i | 0.462866 | + | 0.187881i | ||||
\(157\) | −14.8467 | + | 6.78028i | −1.18490 | + | 0.541125i | −0.907673 | − | 0.419679i | \(-0.862143\pi\) |
−0.277227 | + | 0.960805i | \(0.589415\pi\) | |||||||
\(158\) | −0.428078 | − | 2.97735i | −0.0340561 | − | 0.236865i | ||||
\(159\) | 0.0947391 | + | 0.0752408i | 0.00751330 | + | 0.00596699i | ||||
\(160\) | 1.00000i | 0.0790569i | ||||||||
\(161\) | −6.17344 | − | 7.86817i | −0.486535 | − | 0.620099i | ||||
\(162\) | −3.50442 | + | 8.28970i | −0.275333 | + | 0.651300i | ||||
\(163\) | 2.08704 | + | 1.34126i | 0.163469 | + | 0.105055i | 0.619818 | − | 0.784746i | \(-0.287207\pi\) |
−0.456348 | + | 0.889801i | \(0.650843\pi\) | |||||||
\(164\) | −0.757842 | + | 0.108961i | −0.0591775 | + | 0.00850844i | ||||
\(165\) | 0.827000 | + | 2.42701i | 0.0643818 | + | 0.188942i | ||||
\(166\) | −0.608297 | + | 2.07167i | −0.0472130 | + | 0.160793i | ||||
\(167\) | 12.6530 | + | 5.77845i | 0.979122 | + | 0.447150i | 0.839681 | − | 0.543080i | \(-0.182742\pi\) |
0.139441 | + | 0.990230i | \(0.455469\pi\) | |||||||
\(168\) | −2.62598 | + | 2.47997i | −0.202599 | + | 0.191333i | ||||
\(169\) | 0.00337370 | − | 0.0234646i | 0.000259516 | − | 0.00180497i | ||||
\(170\) | 0.436999 | + | 1.48828i | 0.0335163 | + | 0.114146i | ||||
\(171\) | 11.3809 | − | 6.42620i | 0.870320 | − | 0.491424i | ||||
\(172\) | 0.529985 | + | 0.824673i | 0.0404110 | + | 0.0628807i | ||||
\(173\) | 13.3869 | + | 20.8304i | 1.01779 | + | 1.58371i | 0.792927 | + | 0.609317i | \(0.208556\pi\) |
0.224861 | + | 0.974391i | \(0.427807\pi\) | |||||||
\(174\) | 3.79631 | + | 5.38558i | 0.287798 | + | 0.408280i | ||||
\(175\) | 0.587510 | + | 2.00088i | 0.0444116 | + | 0.151252i | ||||
\(176\) | 0.210676 | − | 1.46528i | 0.0158803 | − | 0.110450i | ||||
\(177\) | −5.71507 | − | 6.05157i | −0.429571 | − | 0.454864i | ||||
\(178\) | −6.67069 | − | 3.04640i | −0.499990 | − | 0.228338i | ||||
\(179\) | 4.08858 | − | 13.9244i | 0.305595 | − | 1.04076i | −0.653323 | − | 0.757079i | \(-0.726626\pi\) |
0.958918 | − | 0.283682i | \(-0.0915561\pi\) | |||||||
\(180\) | −0.679316 | − | 2.92208i | −0.0506332 | − | 0.217799i | ||||
\(181\) | 1.12095 | − | 0.161169i | 0.0833197 | − | 0.0119796i | −0.100529 | − | 0.994934i | \(-0.532053\pi\) |
0.183849 | + | 0.982955i | \(0.441144\pi\) | |||||||
\(182\) | −6.31947 | − | 4.06128i | −0.468430 | − | 0.301042i | ||||
\(183\) | −1.30561 | + | 13.0139i | −0.0965135 | + | 0.962017i | ||||
\(184\) | −4.53032 | − | 1.57361i | −0.333979 | − | 0.116008i | ||||
\(185\) | 3.28958i | 0.241855i | ||||||||
\(186\) | 5.91936 | − | 7.45333i | 0.434029 | − | 0.546505i | ||||
\(187\) | −0.326781 | − | 2.27281i | −0.0238966 | − | 0.166205i | ||||
\(188\) | 3.20485 | − | 1.46361i | 0.233738 | − | 0.106744i | ||||
\(189\) | 5.98864 | − | 9.03052i | 0.435610 | − | 0.656874i | ||||
\(190\) | −1.80980 | + | 3.96292i | −0.131297 | + | 0.287500i | ||||
\(191\) | 7.44219 | − | 8.58874i | 0.538498 | − | 0.621459i | −0.419667 | − | 0.907678i | \(-0.637853\pi\) |
0.958164 | + | 0.286219i | \(0.0923985\pi\) | |||||||
\(192\) | −0.416404 | + | 1.68125i | −0.0300514 | + | 0.121334i | ||||
\(193\) | 12.6716 | − | 3.72073i | 0.912125 | − | 0.267824i | 0.208190 | − | 0.978088i | \(-0.433243\pi\) |
0.703935 | + | 0.710264i | \(0.251425\pi\) | |||||||
\(194\) | 8.16542 | + | 9.42340i | 0.586243 | + | 0.676560i | ||||
\(195\) | 5.55934 | − | 2.83242i | 0.398113 | − | 0.202834i | ||||
\(196\) | −2.23044 | + | 1.43342i | −0.159317 | + | 0.102387i | ||||
\(197\) | 19.5857 | − | 16.9711i | 1.39542 | − | 1.20914i | 0.446046 | − | 0.895010i | \(-0.352832\pi\) |
0.949379 | − | 0.314132i | \(-0.101714\pi\) | |||||||
\(198\) | 0.379779 | + | 4.42478i | 0.0269897 | + | 0.314455i | ||||
\(199\) | 21.0112 | + | 3.02095i | 1.48944 | + | 0.214150i | 0.838468 | − | 0.544950i | \(-0.183451\pi\) |
0.650974 | + | 0.759100i | \(0.274361\pi\) | |||||||
\(200\) | 0.755750 | + | 0.654861i | 0.0534396 | + | 0.0463056i | ||||
\(201\) | −6.02247 | − | 3.51565i | −0.424793 | − | 0.247975i | ||||
\(202\) | −15.2491 | − | 4.47753i | −1.07292 | − | 0.315038i | ||||
\(203\) | −3.29554 | − | 7.21624i | −0.231302 | − | 0.506481i | ||||
\(204\) | 0.114979 | + | 2.68414i | 0.00805012 | + | 0.187928i | ||||
\(205\) | −0.413933 | + | 0.644093i | −0.0289104 | + | 0.0449854i | ||||
\(206\) | −2.95289 | −0.205738 | ||||||||
\(207\) | 14.3069 | + | 1.52068i | 0.994399 | + | 0.105694i | ||||
\(208\) | −3.60226 | −0.249772 | ||||||||
\(209\) | 3.48676 | − | 5.42551i | 0.241184 | − | 0.375290i | ||||
\(210\) | 0.154580 | + | 3.60862i | 0.0106670 | + | 0.249018i | ||||
\(211\) | 10.1537 | + | 22.2336i | 0.699012 | + | 1.53062i | 0.841166 | + | 0.540777i | \(0.181870\pi\) |
−0.142154 | + | 0.989845i | \(0.545403\pi\) | |||||||
\(212\) | −0.0670197 | − | 0.0196788i | −0.00460293 | − | 0.00135154i | ||||
\(213\) | 0.978815 | + | 0.571388i | 0.0670673 | + | 0.0391508i | ||||
\(214\) | −8.85655 | − | 7.67425i | −0.605421 | − | 0.524601i | ||||
\(215\) | 0.970313 | + | 0.139510i | 0.0661748 | + | 0.00951450i | ||||
\(216\) | 0.0746627 | − | 5.19562i | 0.00508015 | − | 0.353517i | ||||
\(217\) | −8.66041 | + | 7.50428i | −0.587907 | + | 0.509424i | ||||
\(218\) | 12.3086 | − | 7.91024i | 0.833642 | − | 0.535749i | ||||
\(219\) | 9.58331 | − | 4.88258i | 0.647580 | − | 0.329934i | ||||
\(220\) | −0.969422 | − | 1.11877i | −0.0653584 | − | 0.0754276i | ||||
\(221\) | −5.36118 | + | 1.57418i | −0.360632 | + | 0.105891i | ||||
\(222\) | −1.36979 | + | 5.53061i | −0.0919346 | + | 0.371190i | ||||
\(223\) | 14.3953 | − | 16.6131i | 0.963980 | − | 1.11249i | −0.0296227 | − | 0.999561i | \(-0.509431\pi\) |
0.993603 | − | 0.112931i | \(-0.0360240\pi\) | |||||||
\(224\) | 0.866284 | − | 1.89690i | 0.0578811 | − | 0.126742i | ||||
\(225\) | −2.65322 | − | 1.40016i | −0.176881 | − | 0.0933440i | ||||
\(226\) | −9.61114 | + | 4.38926i | −0.639323 | + | 0.291969i | ||||
\(227\) | 1.95713 | + | 13.6121i | 0.129899 | + | 0.903470i | 0.945678 | + | 0.325105i | \(0.105400\pi\) |
−0.815778 | + | 0.578365i | \(0.803691\pi\) | |||||||
\(228\) | −4.69291 | + | 5.90906i | −0.310796 | + | 0.391337i | ||||
\(229\) | − | 16.1463i | − | 1.06698i | −0.845807 | − | 0.533489i | \(-0.820880\pi\) | ||
0.845807 | − | 0.533489i | \(-0.179120\pi\) | |||||||
\(230\) | −4.15598 | + | 2.39329i | −0.274037 | + | 0.157809i | ||||
\(231\) | 0.533745 | − | 5.32020i | 0.0351178 | − | 0.350044i | ||||
\(232\) | −3.20032 | − | 2.05672i | −0.210111 | − | 0.135030i | ||||
\(233\) | 2.89960 | − | 0.416899i | 0.189959 | − | 0.0273120i | −0.0466787 | − | 0.998910i | \(-0.514864\pi\) |
0.236638 | + | 0.971598i | \(0.423955\pi\) | |||||||
\(234\) | 10.5261 | − | 2.44708i | 0.688112 | − | 0.159970i | ||||
\(235\) | 0.992611 | − | 3.38052i | 0.0647508 | − | 0.220521i | ||||
\(236\) | 4.37139 | + | 1.99635i | 0.284553 | + | 0.129951i | ||||
\(237\) | −3.57717 | − | 3.78779i | −0.232362 | − | 0.246044i | ||||
\(238\) | 0.460333 | − | 3.20168i | 0.0298389 | − | 0.207534i | ||||
\(239\) | 2.48675 | + | 8.46908i | 0.160854 | + | 0.547820i | 0.999992 | + | 0.00390105i | \(0.00124175\pi\) |
−0.839138 | + | 0.543918i | \(0.816940\pi\) | |||||||
\(240\) | 0.997919 | + | 1.41568i | 0.0644154 | + | 0.0913819i | ||||
\(241\) | 3.36324 | + | 5.23330i | 0.216645 | + | 0.337107i | 0.932518 | − | 0.361125i | \(-0.117607\pi\) |
−0.715872 | + | 0.698231i | \(0.753971\pi\) | |||||||
\(242\) | −4.76227 | − | 7.41024i | −0.306130 | − | 0.476348i | ||||
\(243\) | 3.31130 | + | 15.2327i | 0.212420 | + | 0.977179i | ||||
\(244\) | −2.12745 | − | 7.24543i | −0.136196 | − | 0.463841i | ||||
\(245\) | −0.377323 | + | 2.62434i | −0.0241063 | + | 0.167663i | ||||
\(246\) | −0.964129 | + | 0.910519i | −0.0614706 | + | 0.0580526i | ||||
\(247\) | −14.2755 | − | 6.51939i | −0.908327 | − | 0.414819i | ||||
\(248\) | −1.54817 | + | 5.27259i | −0.0983090 | + | 0.334810i | ||||
\(249\) | 1.20620 | + | 3.53986i | 0.0764399 | + | 0.224329i | ||||
\(250\) | 0.989821 | − | 0.142315i | 0.0626018 | − | 0.00900078i | ||||
\(251\) | −1.56052 | − | 1.00289i | −0.0984994 | − | 0.0633017i | 0.490464 | − | 0.871462i | \(-0.336827\pi\) |
−0.588963 | + | 0.808160i | \(0.700464\pi\) | |||||||
\(252\) | −1.24276 | + | 6.13136i | −0.0782862 | + | 0.386239i | ||||
\(253\) | 6.59388 | − | 2.63128i | 0.414554 | − | 0.165427i | ||||
\(254\) | 0.374847i | 0.0235200i | ||||||||
\(255\) | 2.10384 | + | 1.67085i | 0.131747 | + | 0.104632i | ||||
\(256\) | −0.142315 | − | 0.989821i | −0.00889468 | − | 0.0618638i | ||||
\(257\) | 9.20998 | − | 4.20606i | 0.574503 | − | 0.262367i | −0.106907 | − | 0.994269i | \(-0.534095\pi\) |
0.681410 | + | 0.731902i | \(0.261367\pi\) | |||||||
\(258\) | 1.57325 | + | 0.638594i | 0.0979461 | + | 0.0397571i | ||||
\(259\) | 2.84971 | − | 6.24000i | 0.177072 | − | 0.387735i | ||||
\(260\) | −2.35898 | + | 2.72241i | −0.146298 | + | 0.168837i | ||||
\(261\) | 10.7487 | + | 3.83587i | 0.665331 | + | 0.237434i | ||||
\(262\) | −14.7707 | + | 4.33705i | −0.912534 | + | 0.267944i | ||||
\(263\) | −15.1467 | − | 17.4802i | −0.933983 | − | 1.07787i | −0.996807 | − | 0.0798488i | \(-0.974556\pi\) |
0.0628243 | − | 0.998025i | \(-0.479989\pi\) | |||||||
\(264\) | −1.16398 | − | 2.28461i | −0.0716381 | − | 0.140608i | ||||
\(265\) | −0.0587608 | + | 0.0377633i | −0.00360965 | + | 0.00231978i | ||||
\(266\) | 6.86603 | − | 5.94945i | 0.420983 | − | 0.364784i | ||||
\(267\) | −12.4836 | + | 2.34407i | −0.763987 | + | 0.143455i | ||||
\(268\) | 3.98518 | + | 0.572983i | 0.243434 | + | 0.0350005i | ||||
\(269\) | −22.0579 | − | 19.1133i | −1.34489 | − | 1.16536i | −0.971326 | − | 0.237753i | \(-0.923589\pi\) |
−0.373568 | − | 0.927603i | \(-0.621866\pi\) | |||||||
\(270\) | −3.87769 | − | 3.45883i | −0.235989 | − | 0.210498i | ||||
\(271\) | −23.8672 | − | 7.00804i | −1.44983 | − | 0.425708i | −0.540343 | − | 0.841445i | \(-0.681706\pi\) |
−0.909485 | + | 0.415737i | \(0.863524\pi\) | |||||||
\(272\) | −0.644355 | − | 1.41094i | −0.0390698 | − | 0.0855509i | ||||
\(273\) | −12.9992 | + | 0.556837i | −0.786747 | + | 0.0337013i | ||||
\(274\) | −3.16977 | + | 4.93226i | −0.191493 | + | 0.297969i | ||||
\(275\) | −1.48035 | −0.0892684 | ||||||||
\(276\) | −7.98382 | + | 2.29316i | −0.480570 | + | 0.138032i | ||||
\(277\) | −16.5954 | −0.997118 | −0.498559 | − | 0.866856i | \(-0.666137\pi\) | ||||
−0.498559 | + | 0.866856i | \(0.666137\pi\) | |||||||
\(278\) | 1.89184 | − | 2.94375i | 0.113465 | − | 0.176555i | ||||
\(279\) | 0.942121 | − | 16.4586i | 0.0564033 | − | 0.985351i | ||||
\(280\) | −0.866284 | − | 1.89690i | −0.0517704 | − | 0.113361i | ||||
\(281\) | −26.5272 | − | 7.78909i | −1.58248 | − | 0.464658i | −0.631877 | − | 0.775068i | \(-0.717715\pi\) |
−0.950603 | + | 0.310410i | \(0.899534\pi\) | |||||||
\(282\) | 3.07649 | − | 5.27018i | 0.183202 | − | 0.313835i | ||||
\(283\) | 6.33515 | + | 5.48944i | 0.376585 | + | 0.326313i | 0.822503 | − | 0.568761i | \(-0.192577\pi\) |
−0.445917 | + | 0.895074i | \(0.647123\pi\) | |||||||
\(284\) | −0.647700 | − | 0.0931252i | −0.0384339 | − | 0.00552596i | ||||
\(285\) | 1.39256 | + | 7.41628i | 0.0824883 | + | 0.439302i | ||||
\(286\) | 4.03011 | − | 3.49211i | 0.238306 | − | 0.206493i | ||||
\(287\) | 1.34316 | − | 0.863194i | 0.0792840 | − | 0.0509528i | ||||
\(288\) | 1.08826 | + | 2.79566i | 0.0641261 | + | 0.164736i | ||||
\(289\) | 9.55707 | + | 11.0294i | 0.562181 | + | 0.648791i | ||||
\(290\) | −3.65013 | + | 1.07178i | −0.214343 | + | 0.0629368i | ||||
\(291\) | 20.9634 | + | 5.19212i | 1.22890 | + | 0.304367i | ||||
\(292\) | −4.06646 | + | 4.69294i | −0.237972 | + | 0.274634i | ||||
\(293\) | −5.81051 | + | 12.7232i | −0.339454 | + | 0.743300i | −0.999972 | − | 0.00751020i | \(-0.997609\pi\) |
0.660518 | + | 0.750810i | \(0.270337\pi\) | |||||||
\(294\) | −1.72716 | + | 4.25506i | −0.100730 | + | 0.248160i | ||||
\(295\) | 4.37139 | − | 1.99635i | 0.254512 | − | 0.116232i | ||||
\(296\) | −0.468156 | − | 3.25610i | −0.0272110 | − | 0.189257i | ||||
\(297\) | 4.95321 | + | 5.88509i | 0.287415 | + | 0.341488i | ||||
\(298\) | − | 23.5009i | − | 1.36137i | ||||||
\(299\) | −8.62127 | − | 14.9709i | −0.498581 | − | 0.865791i | ||||
\(300\) | 1.72340 | + | 0.172899i | 0.0995005 | + | 0.00998230i | ||||
\(301\) | −1.71973 | − | 1.10520i | −0.0991236 | − | 0.0637028i | ||||
\(302\) | −22.6554 | + | 3.25736i | −1.30367 | + | 0.187440i | ||||
\(303\) | −26.0561 | + | 8.87857i | −1.49688 | + | 0.510061i | ||||
\(304\) | 1.22740 | − | 4.18015i | 0.0703963 | − | 0.239748i | ||||
\(305\) | −6.86892 | − | 3.13693i | −0.393313 | − | 0.179620i | ||||
\(306\) | 2.84133 | + | 3.68516i | 0.162428 | + | 0.210666i | ||||
\(307\) | −3.85172 | + | 26.7893i | −0.219829 | + | 1.52895i | 0.518836 | + | 0.854874i | \(0.326365\pi\) |
−0.738666 | + | 0.674072i | \(0.764544\pi\) | |||||||
\(308\) | 0.869719 | + | 2.96199i | 0.0495569 | + | 0.168775i | ||||
\(309\) | −4.18036 | + | 2.94675i | −0.237812 | + | 0.167635i | ||||
\(310\) | 2.97092 | + | 4.62284i | 0.168737 | + | 0.262560i | ||||
\(311\) | −1.06993 | − | 1.66485i | −0.0606704 | − | 0.0944050i | 0.809593 | − | 0.586992i | \(-0.199688\pi\) |
−0.870263 | + | 0.492587i | \(0.836051\pi\) | |||||||
\(312\) | −5.09966 | + | 3.59476i | −0.288711 | + | 0.203513i | ||||
\(313\) | −1.67277 | − | 5.69694i | −0.0945507 | − | 0.322010i | 0.898613 | − | 0.438743i | \(-0.144576\pi\) |
−0.993163 | + | 0.116733i | \(0.962758\pi\) | |||||||
\(314\) | 2.32282 | − | 16.1556i | 0.131084 | − | 0.911712i | ||||
\(315\) | 3.81994 | + | 4.95440i | 0.215229 | + | 0.279149i | ||||
\(316\) | 2.73614 | + | 1.24955i | 0.153920 | + | 0.0702929i | ||||
\(317\) | 3.95398 | − | 13.4660i | 0.222078 | − | 0.756327i | −0.770788 | − | 0.637091i | \(-0.780137\pi\) |
0.992866 | − | 0.119236i | \(-0.0380444\pi\) | |||||||
\(318\) | −0.114516 | + | 0.0390213i | −0.00642176 | + | 0.00218821i | ||||
\(319\) | 5.57426 | − | 0.801458i | 0.312099 | − | 0.0448730i | ||||
\(320\) | −0.841254 | − | 0.540641i | −0.0470275 | − | 0.0302227i | ||||
\(321\) | −20.1963 | − | 2.02618i | −1.12725 | − | 0.113090i | ||||
\(322\) | 9.95674 | − | 0.939573i | 0.554867 | − | 0.0523604i | ||||
\(323\) | − | 6.75761i | − | 0.376003i | ||||||
\(324\) | −5.07910 | − | 7.42985i | −0.282172 | − | 0.412770i | ||||
\(325\) | 0.512655 | + | 3.56560i | 0.0284370 | + | 0.197784i | ||||
\(326\) | −2.25667 | + | 1.03059i | −0.124986 | + | 0.0570790i | ||||
\(327\) | 9.53127 | − | 23.4814i | 0.527080 | − | 1.29852i | ||||
\(328\) | 0.318056 | − | 0.696446i | 0.0175617 | − | 0.0384548i | ||||
\(329\) | −4.81138 | + | 5.55262i | −0.265260 | + | 0.306126i | ||||
\(330\) | −2.48884 | − | 0.616423i | −0.137006 | − | 0.0339330i | ||||
\(331\) | 4.42337 | − | 1.29882i | 0.243131 | − | 0.0713896i | −0.157897 | − | 0.987456i | \(-0.550471\pi\) |
0.401027 | + | 0.916066i | \(0.368653\pi\) | |||||||
\(332\) | −1.41393 | − | 1.63176i | −0.0775994 | − | 0.0895545i | ||||
\(333\) | 3.57991 | + | 9.19654i | 0.196178 | + | 0.503967i | ||||
\(334\) | −11.7019 | + | 7.52035i | −0.640299 | + | 0.411495i | ||||
\(335\) | 3.04277 | − | 2.63658i | 0.166244 | − | 0.144052i | ||||
\(336\) | −0.666566 | − | 3.54989i | −0.0363642 | − | 0.193662i | ||||
\(337\) | 9.86785 | + | 1.41878i | 0.537536 | + | 0.0772860i | 0.405736 | − | 0.913990i | \(-0.367015\pi\) |
0.131800 | + | 0.991276i | \(0.457924\pi\) | |||||||
\(338\) | 0.0179157 | + | 0.0155241i | 0.000974487 | + | 0.000844398i | ||||
\(339\) | −9.22620 | + | 15.8049i | −0.501098 | + | 0.858406i | ||||
\(340\) | −1.48828 | − | 0.436999i | −0.0807134 | − | 0.0236996i | ||||
\(341\) | −3.37931 | − | 7.39966i | −0.183000 | − | 0.400714i | ||||
\(342\) | −0.746920 | + | 13.0485i | −0.0403888 | + | 0.705582i | ||||
\(343\) | 10.8811 | − | 16.9314i | 0.587526 | − | 0.914208i | ||||
\(344\) | −0.980291 | −0.0528537 | ||||||||
\(345\) | −3.49524 | + | 7.53547i | −0.188177 | + | 0.405696i | ||||
\(346\) | −24.7612 | −1.33117 | ||||||||
\(347\) | 1.66888 | − | 2.59683i | 0.0895902 | − | 0.139405i | −0.793566 | − | 0.608484i | \(-0.791778\pi\) |
0.883156 | + | 0.469079i | \(0.155414\pi\) | |||||||
\(348\) | −6.58308 | + | 0.281995i | −0.352890 | + | 0.0151165i | ||||
\(349\) | 7.86557 | + | 17.2232i | 0.421035 | + | 0.921937i | 0.994697 | + | 0.102845i | \(0.0327947\pi\) |
−0.573663 | + | 0.819092i | \(0.694478\pi\) | |||||||
\(350\) | −2.00088 | − | 0.587510i | −0.106951 | − | 0.0314037i | ||||
\(351\) | 12.4596 | − | 13.9685i | 0.665045 | − | 0.745581i | ||||
\(352\) | 1.11877 | + | 0.969422i | 0.0596308 | + | 0.0516704i | ||||
\(353\) | 11.4708 | + | 1.64926i | 0.610532 | + | 0.0877812i | 0.440644 | − | 0.897682i | \(-0.354750\pi\) |
0.169888 | + | 0.985463i | \(0.445659\pi\) | |||||||
\(354\) | 8.18070 | − | 1.53610i | 0.434799 | − | 0.0816427i | ||||
\(355\) | −0.494533 | + | 0.428515i | −0.0262471 | + | 0.0227432i | ||||
\(356\) | 6.16925 | − | 3.96473i | 0.326969 | − | 0.210130i | ||||
\(357\) | −2.54333 | − | 4.99194i | −0.134608 | − | 0.264202i | ||||
\(358\) | 9.50353 | + | 10.9677i | 0.502277 | + | 0.579659i | ||||
\(359\) | −23.1957 | + | 6.81087i | −1.22422 | + | 0.359464i | −0.829067 | − | 0.559150i | \(-0.811128\pi\) |
−0.395156 | + | 0.918614i | \(0.629309\pi\) | |||||||
\(360\) | 2.82547 | + | 1.00832i | 0.148916 | + | 0.0531429i | ||||
\(361\) | −0.0130119 | + | 0.0150165i | −0.000684837 | + | 0.000790344i | ||||
\(362\) | −0.470449 | + | 1.03014i | −0.0247263 | + | 0.0541429i | ||||
\(363\) | −14.1367 | − | 5.73819i | −0.741983 | − | 0.301177i | ||||
\(364\) | 6.83312 | − | 3.12058i | 0.358153 | − | 0.163563i | ||||
\(365\) | 0.883726 | + | 6.14645i | 0.0462563 | + | 0.321720i | ||||
\(366\) | −10.2421 | − | 8.13421i | −0.535366 | − | 0.425182i | ||||
\(367\) | − | 19.8734i | − | 1.03738i | −0.854962 | − | 0.518691i | \(-0.826420\pi\) | ||
0.854962 | − | 0.518691i | \(-0.173580\pi\) | |||||||
\(368\) | 3.77307 | − | 2.96039i | 0.196685 | − | 0.154321i | ||||
\(369\) | −0.456277 | + | 2.25113i | −0.0237528 | + | 0.117189i | ||||
\(370\) | −2.76737 | − | 1.77848i | −0.143869 | − | 0.0924588i | ||||
\(371\) | 0.144177 | − | 0.0207295i | 0.00748529 | − | 0.00107622i | ||||
\(372\) | 3.06989 | + | 9.00926i | 0.159167 | + | 0.467109i | ||||
\(373\) | 9.91044 | − | 33.7519i | 0.513143 | − | 1.74761i | −0.139781 | − | 0.990182i | \(-0.544640\pi\) |
0.652924 | − | 0.757423i | \(-0.273542\pi\) | |||||||
\(374\) | 2.08868 | + | 0.953870i | 0.108003 | + | 0.0493235i | ||||
\(375\) | 1.25925 | − | 1.18923i | 0.0650276 | − | 0.0614118i | ||||
\(376\) | −0.501409 | + | 3.48738i | −0.0258582 | + | 0.179848i | ||||
\(377\) | −3.86082 | − | 13.1487i | −0.198842 | − | 0.677194i | ||||
\(378\) | 4.35925 | + | 9.92023i | 0.224216 | + | 0.510242i | ||||
\(379\) | 12.6967 | + | 19.7565i | 0.652187 | + | 1.01482i | 0.997094 | + | 0.0761858i | \(0.0242742\pi\) |
−0.344907 | + | 0.938637i | \(0.612089\pi\) | |||||||
\(380\) | −2.35537 | − | 3.66502i | −0.120828 | − | 0.188012i | ||||
\(381\) | 0.374067 | + | 0.530665i | 0.0191640 | + | 0.0271868i | ||||
\(382\) | 3.20176 | + | 10.9042i | 0.163816 | + | 0.557907i | ||||
\(383\) | −3.06919 | + | 21.3467i | −0.156828 | + | 1.09077i | 0.747603 | + | 0.664146i | \(0.231205\pi\) |
−0.904431 | + | 0.426619i | \(0.859704\pi\) | |||||||
\(384\) | −1.18923 | − | 1.25925i | −0.0606878 | − | 0.0642611i | ||||
\(385\) | 2.80807 | + | 1.28240i | 0.143112 | + | 0.0653573i | ||||
\(386\) | −3.72073 | + | 12.6716i | −0.189380 | + | 0.644970i | ||||
\(387\) | 2.86448 | − | 0.665928i | 0.145610 | − | 0.0338510i | ||||
\(388\) | −12.3420 | + | 1.77452i | −0.626571 | + | 0.0900874i | ||||
\(389\) | 6.27074 | + | 4.02996i | 0.317939 | + | 0.204327i | 0.689870 | − | 0.723933i | \(-0.257668\pi\) |
−0.371931 | + | 0.928260i | \(0.621304\pi\) | |||||||
\(390\) | −0.622826 | + | 6.20814i | −0.0315380 | + | 0.314361i | ||||
\(391\) | 4.32171 | − | 6.05472i | 0.218558 | − | 0.306200i | ||||
\(392\) | − | 2.65133i | − | 0.133912i | ||||||
\(393\) | −16.5825 | + | 20.8798i | −0.836478 | + | 1.05325i | ||||
\(394\) | 3.68818 | + | 25.6518i | 0.185808 | + | 1.29232i | ||||
\(395\) | 2.73614 | − | 1.24955i | 0.137670 | − | 0.0628719i | ||||
\(396\) | −3.92768 | − | 2.07272i | −0.197373 | − | 0.104158i | ||||
\(397\) | 7.08438 | − | 15.5126i | 0.355555 | − | 0.778556i | −0.644350 | − | 0.764731i | \(-0.722872\pi\) |
0.999904 | − | 0.0138252i | \(-0.00440084\pi\) | |||||||
\(398\) | −13.9009 | + | 16.0425i | −0.696788 | + | 0.804137i | ||||
\(399\) | 3.78306 | − | 15.2743i | 0.189390 | − | 0.764670i | ||||
\(400\) | −0.959493 | + | 0.281733i | −0.0479746 | + | 0.0140866i | ||||
\(401\) | −12.3979 | − | 14.3080i | −0.619124 | − | 0.714507i | 0.356417 | − | 0.934327i | \(-0.383998\pi\) |
−0.975540 | + | 0.219820i | \(0.929453\pi\) | |||||||
\(402\) | 6.21355 | − | 3.16573i | 0.309903 | − | 0.157892i | ||||
\(403\) | −16.6527 | + | 10.7020i | −0.829529 | + | 0.533106i | ||||
\(404\) | 12.0110 | − | 10.4076i | 0.597570 | − | 0.517798i | ||||
\(405\) | −8.94121 | − | 1.02699i | −0.444292 | − | 0.0510315i | ||||
\(406\) | 7.85239 | + | 1.12900i | 0.389708 | + | 0.0560315i | ||||
\(407\) | 3.68029 | + | 3.18899i | 0.182425 | + | 0.158072i | ||||
\(408\) | −2.32021 | − | 1.35443i | −0.114867 | − | 0.0670544i | ||||
\(409\) | −23.7146 | − | 6.96324i | −1.17261 | − | 0.344310i | −0.363290 | − | 0.931676i | \(-0.618347\pi\) |
−0.809321 | + | 0.587366i | \(0.800165\pi\) | |||||||
\(410\) | −0.318056 | − | 0.696446i | −0.0157077 | − | 0.0343950i | ||||
\(411\) | 0.434604 | + | 10.1457i | 0.0214374 | + | 0.500450i | ||||
\(412\) | 1.59645 | − | 2.48413i | 0.0786517 | − | 0.122384i | ||||
\(413\) | −10.0215 | −0.493125 | ||||||||
\(414\) | −9.01417 | + | 11.2136i | −0.443022 | + | 0.551118i | ||||
\(415\) | −2.15913 | −0.105987 | ||||||||
\(416\) | 1.94753 | − | 3.03042i | 0.0954855 | − | 0.148578i | ||||
\(417\) | −0.259387 | − | 6.05532i | −0.0127023 | − | 0.296530i | ||||
\(418\) | 2.67914 | + | 5.86650i | 0.131041 | + | 0.286940i | ||||
\(419\) | −11.2371 | − | 3.29950i | −0.548967 | − | 0.161191i | −0.00452497 | − | 0.999990i | \(-0.501440\pi\) |
−0.544442 | + | 0.838799i | \(0.683259\pi\) | |||||||
\(420\) | −3.11933 | − | 1.82092i | −0.152208 | − | 0.0888520i | ||||
\(421\) | −13.5840 | − | 11.7706i | −0.662042 | − | 0.573663i | 0.257681 | − | 0.966230i | \(-0.417042\pi\) |
−0.919723 | + | 0.392567i | \(0.871587\pi\) | |||||||
\(422\) | −24.1936 | − | 3.47851i | −1.17773 | − | 0.169331i | ||||
\(423\) | −0.903876 | − | 10.5310i | −0.0439480 | − | 0.512035i | ||||
\(424\) | 0.0527884 | − | 0.0457414i | 0.00256363 | − | 0.00222140i | ||||
\(425\) | −1.30488 | + | 0.838595i | −0.0632959 | + | 0.0406778i | ||||
\(426\) | −1.00987 | + | 0.514516i | −0.0489283 | + | 0.0249284i | ||||
\(427\) | 10.3122 | + | 11.9009i | 0.499040 | + | 0.575923i | ||||
\(428\) | 11.2442 | − | 3.30160i | 0.543509 | − | 0.159589i | ||||
\(429\) | 2.22052 | − | 8.96545i | 0.107208 | − | 0.432856i | ||||
\(430\) | −0.641954 | + | 0.740854i | −0.0309578 | + | 0.0357272i | ||||
\(431\) | 16.2694 | − | 35.6249i | 0.783668 | − | 1.71599i | 0.0897214 | − | 0.995967i | \(-0.471402\pi\) |
0.693947 | − | 0.720027i | \(-0.255870\pi\) | |||||||
\(432\) | 4.33046 | + | 2.87177i | 0.208350 | + | 0.138168i | ||||
\(433\) | 7.15627 | − | 3.26816i | 0.343908 | − | 0.157058i | −0.235971 | − | 0.971760i | \(-0.575827\pi\) |
0.579879 | + | 0.814703i | \(0.303100\pi\) | |||||||
\(434\) | −1.63084 | − | 11.3427i | −0.0782827 | − | 0.544468i | ||||
\(435\) | −4.09789 | + | 5.15983i | −0.196479 | + | 0.247395i | ||||
\(436\) | 14.6312i | 0.700709i | ||||||||
\(437\) | 20.3101 | − | 4.90326i | 0.971565 | − | 0.234555i | ||||
\(438\) | −1.07364 | + | 10.7017i | −0.0513005 | + | 0.511348i | ||||
\(439\) | −3.28588 | − | 2.11171i | −0.156827 | − | 0.100786i | 0.459874 | − | 0.887984i | \(-0.347895\pi\) |
−0.616700 | + | 0.787198i | \(0.711531\pi\) | |||||||
\(440\) | 1.46528 | − | 0.210676i | 0.0698545 | − | 0.0100436i | ||||
\(441\) | 1.80109 | + | 7.74739i | 0.0857662 | + | 0.368923i | ||||
\(442\) | 1.57418 | − | 5.36118i | 0.0748763 | − | 0.255005i | ||||
\(443\) | −10.1679 | − | 4.64353i | −0.483092 | − | 0.220621i | 0.158955 | − | 0.987286i | \(-0.449187\pi\) |
−0.642047 | + | 0.766665i | \(0.721915\pi\) | |||||||
\(444\) | −3.91208 | − | 4.14242i | −0.185659 | − | 0.196590i | ||||
\(445\) | 1.04365 | − | 7.25875i | 0.0494738 | − | 0.344098i | ||||
\(446\) | 6.19311 | + | 21.0918i | 0.293252 | + | 0.998725i | ||||
\(447\) | −23.4520 | − | 33.2699i | −1.10924 | − | 1.57361i | ||||
\(448\) | 1.12742 | + | 1.75431i | 0.0532658 | + | 0.0828831i | ||||
\(449\) | 15.3247 | + | 23.8457i | 0.723217 | + | 1.12535i | 0.986993 | + | 0.160764i | \(0.0513957\pi\) |
−0.263776 | + | 0.964584i | \(0.584968\pi\) | |||||||
\(450\) | 2.61233 | − | 1.47504i | 0.123146 | − | 0.0695342i | ||||
\(451\) | 0.319317 | + | 1.08749i | 0.0150361 | + | 0.0512081i | ||||
\(452\) | 1.50369 | − | 10.4584i | 0.0707278 | − | 0.491922i | ||||
\(453\) | −28.8223 | + | 27.2196i | −1.35419 | + | 1.27889i | ||||
\(454\) | −12.5094 | − | 5.71284i | −0.587094 | − | 0.268117i | ||||
\(455\) | 2.11637 | − | 7.20768i | 0.0992167 | − | 0.337901i | ||||
\(456\) | −2.43383 | − | 7.14261i | −0.113975 | − | 0.334483i | ||||
\(457\) | 19.2217 | − | 2.76366i | 0.899151 | − | 0.129278i | 0.322787 | − | 0.946472i | \(-0.395380\pi\) |
0.576364 | + | 0.817193i | \(0.304471\pi\) | |||||||
\(458\) | 13.5831 | + | 8.72936i | 0.634699 | + | 0.407896i | ||||
\(459\) | 7.69991 | + | 2.38160i | 0.359401 | + | 0.111163i | ||||
\(460\) | 0.233526 | − | 4.79014i | 0.0108882 | − | 0.223342i | ||||
\(461\) | − | 40.1433i | − | 1.86966i | −0.355096 | − | 0.934830i | \(-0.615552\pi\) | ||
0.355096 | − | 0.934830i | \(-0.384448\pi\) | |||||||
\(462\) | 4.18707 | + | 3.32533i | 0.194800 | + | 0.154708i | ||||
\(463\) | 1.28799 | + | 8.95815i | 0.0598578 | + | 0.416320i | 0.997615 | + | 0.0690280i | \(0.0219898\pi\) |
−0.937757 | + | 0.347292i | \(0.887101\pi\) | |||||||
\(464\) | 3.46045 | − | 1.58033i | 0.160647 | − | 0.0733652i | ||||
\(465\) | 8.81910 | + | 3.57974i | 0.408976 | + | 0.166007i | ||||
\(466\) | −1.21692 | + | 2.66469i | −0.0563729 | + | 0.123439i | ||||
\(467\) | −11.1357 | + | 12.8513i | −0.515300 | + | 0.594688i | −0.952448 | − | 0.304702i | \(-0.901443\pi\) |
0.437148 | + | 0.899390i | \(0.355989\pi\) | |||||||
\(468\) | −3.63222 | + | 10.1781i | −0.167899 | + | 0.470483i | ||||
\(469\) | −8.05585 | + | 2.36541i | −0.371985 | + | 0.109225i | ||||
\(470\) | 2.30723 | + | 2.66269i | 0.106425 | + | 0.122821i | ||||
\(471\) | −12.8336 | − | 25.1892i | −0.591340 | − | 1.16066i | ||||
\(472\) | −4.04279 | + | 2.59814i | −0.186084 | + | 0.119589i | ||||
\(473\) | 1.09672 | − | 0.950316i | 0.0504274 | − | 0.0436956i | ||||
\(474\) | 5.12046 | − | 0.961474i | 0.235191 | − | 0.0441620i | ||||
\(475\) | −4.31228 | − | 0.620012i | −0.197861 | − | 0.0284481i | ||||
\(476\) | 2.44455 | + | 2.11822i | 0.112046 | + | 0.0970883i | ||||
\(477\) | −0.123179 | + | 0.169520i | −0.00563997 | + | 0.00776178i | ||||
\(478\) | −8.46908 | − | 2.48675i | −0.387367 | − | 0.113741i | ||||
\(479\) | 5.35009 | + | 11.7151i | 0.244452 | + | 0.535275i | 0.991594 | − | 0.129389i | \(-0.0413017\pi\) |
−0.747142 | + | 0.664665i | \(0.768574\pi\) | |||||||
\(480\) | −1.73046 | + | 0.0741266i | −0.0789845 | + | 0.00338340i | ||||
\(481\) | 6.40656 | − | 9.96880i | 0.292114 | − | 0.454538i | ||||
\(482\) | −6.22084 | −0.283352 | ||||||||
\(483\) | 13.1580 | − | 11.2662i | 0.598708 | − | 0.512628i | ||||
\(484\) | 8.80857 | 0.400390 | ||||||||
\(485\) | −6.74122 | + | 10.4895i | −0.306103 | + | 0.476306i | ||||
\(486\) | −14.6048 | − | 5.44978i | −0.662487 | − | 0.247207i | ||||
\(487\) | 15.7967 | + | 34.5900i | 0.715817 | + | 1.56742i | 0.819675 | + | 0.572829i | \(0.194154\pi\) |
−0.103857 | + | 0.994592i | \(0.533119\pi\) | |||||||
\(488\) | 7.24543 | + | 2.12745i | 0.327985 | + | 0.0963052i | ||||
\(489\) | −2.16629 | + | 3.71096i | −0.0979631 | + | 0.167816i | ||||
\(490\) | −2.00374 | − | 1.73625i | −0.0905198 | − | 0.0784358i | ||||
\(491\) | 34.0125 | + | 4.89026i | 1.53496 | + | 0.220694i | 0.857354 | − | 0.514728i | \(-0.172107\pi\) |
0.677609 | + | 0.735422i | \(0.263016\pi\) | |||||||
\(492\) | −0.244730 | − | 1.30334i | −0.0110333 | − | 0.0587591i | ||||
\(493\) | 4.45952 | − | 3.86419i | 0.200847 | − | 0.174035i | ||||
\(494\) | 13.2024 | − | 8.48465i | 0.594003 | − | 0.381742i | ||||
\(495\) | −4.13855 | + | 1.61100i | −0.186014 | + | 0.0724090i | ||||
\(496\) | −3.59858 | − | 4.15298i | −0.161581 | − | 0.186474i | ||||
\(497\) | 1.30929 | − | 0.384443i | 0.0587299 | − | 0.0172446i | ||||
\(498\) | −3.63004 | − | 0.899070i | −0.162666 | − | 0.0402883i | ||||
\(499\) | −24.0198 | + | 27.7203i | −1.07527 | + | 1.24093i | −0.106149 | + | 0.994350i | \(0.533852\pi\) |
−0.969123 | + | 0.246580i | \(0.920693\pi\) | |||||||
\(500\) | −0.415415 | + | 0.909632i | −0.0185779 | + | 0.0406800i | ||||
\(501\) | −9.06147 | + | 22.3240i | −0.404837 | + | 0.997361i | ||||
\(502\) | 1.68737 | − | 0.770594i | 0.0753108 | − | 0.0343933i | ||||
\(503\) | −5.29059 | − | 36.7968i | −0.235896 | − | 1.64069i | −0.671826 | − | 0.740709i | \(-0.734490\pi\) |
0.435930 | − | 0.899980i | \(-0.356419\pi\) | |||||||
\(504\) | −4.48615 | − | 4.36034i | −0.199829 | − | 0.194225i | ||||
\(505\) | − | 15.8929i | − | 0.707223i | ||||||
\(506\) | −1.35135 | + | 6.96970i | −0.0600747 | + | 0.309841i | ||||
\(507\) | 0.0408548 | + | 0.00409872i | 0.00181442 | + | 0.000182030i | ||||
\(508\) | −0.315342 | − | 0.202658i | −0.0139910 | − | 0.00899148i | ||||
\(509\) | 9.32660 | − | 1.34096i | 0.413394 | − | 0.0594371i | 0.0675199 | − | 0.997718i | \(-0.478491\pi\) |
0.345874 | + | 0.938281i | \(0.387582\pi\) | |||||||
\(510\) | −2.54302 | + | 0.866532i | −0.112607 | + | 0.0383707i | ||||
\(511\) | 3.64823 | − | 12.4247i | 0.161388 | − | 0.549638i | ||||
\(512\) | 0.909632 | + | 0.415415i | 0.0402004 | + | 0.0183589i | ||||
\(513\) | 11.9639 | + | 19.2179i | 0.528221 | + | 0.848491i | ||||
\(514\) | −1.44093 | + | 10.0219i | −0.0635568 | + | 0.442047i | ||||
\(515\) | −0.831926 | − | 2.83328i | −0.0366590 | − | 0.124849i | ||||
\(516\) | −1.38778 | + | 0.978251i | −0.0610937 | + | 0.0430651i | ||||
\(517\) | −2.81978 | − | 4.38766i | −0.124014 | − | 0.192969i | ||||
\(518\) | 3.70875 | + | 5.77093i | 0.162953 | + | 0.253560i | ||||
\(519\) | −35.0540 | + | 24.7096i | −1.53870 | + | 1.08463i | ||||
\(520\) | −1.01487 | − | 3.45635i | −0.0445052 | − | 0.151571i | ||||
\(521\) | 1.17728 | − | 8.18815i | 0.0515775 | − | 0.358729i | −0.947646 | − | 0.319323i | \(-0.896544\pi\) |
0.999223 | − | 0.0394060i | \(-0.0125466\pi\) | |||||||
\(522\) | −9.03815 | + | 6.96860i | −0.395589 | + | 0.305007i | ||||
\(523\) | 11.5841 | + | 5.29027i | 0.506536 | + | 0.231327i | 0.652256 | − | 0.757999i | \(-0.273823\pi\) |
−0.145720 | + | 0.989326i | \(0.546550\pi\) | |||||||
\(524\) | 4.33705 | − | 14.7707i | 0.189465 | − | 0.645259i | ||||
\(525\) | −3.41889 | + | 1.16498i | −0.149213 | + | 0.0508440i | ||||
\(526\) | 22.8942 | − | 3.29168i | 0.998233 | − | 0.143524i | ||||
\(527\) | −7.17055 | − | 4.60823i | −0.312354 | − | 0.200738i | ||||
\(528\) | 2.55123 | + | 0.255950i | 0.111028 | + | 0.0111388i | ||||
\(529\) | 21.3334 | + | 8.59574i | 0.927538 | + | 0.373728i | ||||
\(530\) | − | 0.0698491i | − | 0.00303405i | ||||||
\(531\) | 10.0484 | − | 10.3383i | 0.436062 | − | 0.448644i | ||||
\(532\) | 1.29294 | + | 8.99259i | 0.0560560 | + | 0.389878i | ||||
\(533\) | 2.50878 | − | 1.14572i | 0.108667 | − | 0.0496267i | ||||
\(534\) | 4.77721 | − | 11.7692i | 0.206730 | − | 0.509304i | ||||
\(535\) | 4.86821 | − | 10.6599i | 0.210471 | − | 0.460867i | ||||
\(536\) | −2.63658 | + | 3.04277i | −0.113883 | + | 0.131428i | ||||
\(537\) | 24.3988 | + | 6.04297i | 1.05289 | + | 0.260774i | ||||
\(538\) | 28.0045 | − | 8.22286i | 1.20736 | − | 0.354513i | ||||
\(539\) | 2.57026 | + | 2.96623i | 0.110709 | + | 0.127765i | ||||
\(540\) | 5.00619 | − | 1.39214i | 0.215432 | − | 0.0599080i | ||||
\(541\) | −23.5674 | + | 15.1459i | −1.01324 | + | 0.651172i | −0.938230 | − | 0.346011i | \(-0.887536\pi\) |
−0.0750124 | + | 0.997183i | \(0.523900\pi\) | |||||||
\(542\) | 18.7991 | − | 16.2895i | 0.807491 | − | 0.699695i | ||||
\(543\) | 0.361989 | + | 1.92782i | 0.0155344 | + | 0.0827307i | ||||
\(544\) | 1.53532 | + | 0.220746i | 0.0658265 | + | 0.00946442i | ||||
\(545\) | 11.0576 | + | 9.58142i | 0.473653 | + | 0.410423i | ||||
\(546\) | 6.55945 | − | 11.2367i | 0.280719 | − | 0.480885i | ||||
\(547\) | 4.57827 | + | 1.34430i | 0.195753 | + | 0.0574782i | 0.378139 | − | 0.925749i | \(-0.376564\pi\) |
−0.182387 | + | 0.983227i | \(0.558382\pi\) | |||||||
\(548\) | −2.43558 | − | 5.33317i | −0.104043 | − | 0.227822i | ||||
\(549\) | −22.6169 | − | 1.29463i | −0.965266 | − | 0.0552536i | ||||
\(550\) | 0.800337 | − | 1.24535i | 0.0341265 | − | 0.0531018i | ||||
\(551\) | 16.5736 | 0.706058 | ||||||||
\(552\) | 2.38725 | − | 7.95619i | 0.101608 | − | 0.338638i | ||||
\(553\) | −6.27265 | −0.266740 | ||||||||
\(554\) | 8.97213 | − | 13.9609i | 0.381189 | − | 0.593142i | ||||
\(555\) | −5.69250 | + | 0.243845i | −0.241633 | + | 0.0103507i | ||||
\(556\) | 1.45364 | + | 3.18303i | 0.0616481 | + | 0.134990i | ||||
\(557\) | 17.6154 | + | 5.17236i | 0.746391 | + | 0.219160i | 0.632744 | − | 0.774361i | \(-0.281929\pi\) |
0.113647 | + | 0.993521i | \(0.463747\pi\) | |||||||
\(558\) | 13.3365 | + | 9.69075i | 0.564579 | + | 0.410242i | ||||
\(559\) | −2.66875 | − | 2.31249i | −0.112876 | − | 0.0978078i | ||||
\(560\) | 2.06412 | + | 0.296776i | 0.0872250 | + | 0.0125411i | ||||
\(561\) | 3.90880 | − | 0.733960i | 0.165030 | − | 0.0309878i | ||||
\(562\) | 20.8943 | − | 18.1050i | 0.881372 | − | 0.763713i | ||||
\(563\) | 15.4353 | − | 9.91963i | 0.650518 | − | 0.418063i | −0.173337 | − | 0.984863i | \(-0.555455\pi\) |
0.823856 | + | 0.566800i | \(0.191819\pi\) | |||||||
\(564\) | 2.77028 | + | 5.43739i | 0.116650 | + | 0.228955i | ||||
\(565\) | −6.91923 | − | 7.98522i | −0.291094 | − | 0.335941i | ||||
\(566\) | −8.04305 | + | 2.36165i | −0.338074 | + | 0.0992676i | ||||
\(567\) | 16.0709 | + | 9.69372i | 0.674915 | + | 0.407098i | ||||
\(568\) | 0.428515 | − | 0.494533i | 0.0179801 | − | 0.0207501i | ||||
\(569\) | −3.13536 | + | 6.86547i | −0.131441 | + | 0.287816i | −0.963897 | − | 0.266276i | \(-0.914207\pi\) |
0.832456 | + | 0.554091i | \(0.186934\pi\) | |||||||
\(570\) | −6.99184 | − | 2.83804i | −0.292856 | − | 0.118873i | ||||
\(571\) | −29.5680 | + | 13.5033i | −1.23738 | + | 0.565094i | −0.923219 | − | 0.384274i | \(-0.874452\pi\) |
−0.314165 | + | 0.949369i | \(0.601724\pi\) | |||||||
\(572\) | 0.758909 | + | 5.27832i | 0.0317316 | + | 0.220698i | ||||
\(573\) | 15.4142 | + | 12.2418i | 0.643936 | + | 0.511408i | ||||
\(574\) | 1.59661i | 0.0666414i | ||||||||
\(575\) | −3.46722 | − | 3.31336i | −0.144593 | − | 0.138177i | ||||
\(576\) | −2.94021 | − | 0.595947i | −0.122509 | − | 0.0248311i | ||||
\(577\) | −5.97002 | − | 3.83670i | −0.248535 | − | 0.159724i | 0.410442 | − | 0.911887i | \(-0.365374\pi\) |
−0.658977 | + | 0.752163i | \(0.729011\pi\) | |||||||
\(578\) | −14.4455 | + | 2.07695i | −0.600854 | + | 0.0863897i | ||||
\(579\) | 7.37790 | + | 21.6520i | 0.306615 | + | 0.899827i | ||||
\(580\) | 1.07178 | − | 3.65013i | 0.0445031 | − | 0.151563i | ||||
\(581\) | 4.09565 | + | 1.87042i | 0.169916 | + | 0.0775981i | ||||
\(582\) | −15.7016 | + | 14.8285i | −0.650851 | + | 0.614661i | ||||
\(583\) | −0.0147155 | + | 0.102348i | −0.000609453 | + | 0.00423884i | ||||
\(584\) | −1.74946 | − | 5.95812i | −0.0723932 | − | 0.246549i | ||||
\(585\) | 5.31349 | + | 9.41028i | 0.219686 | + | 0.389067i | ||||
\(586\) | −7.56208 | − | 11.7668i | −0.312386 | − | 0.486083i | ||||
\(587\) | −7.50009 | − | 11.6704i | −0.309562 | − | 0.481688i | 0.651260 | − | 0.758855i | \(-0.274241\pi\) |
−0.960822 | + | 0.277167i | \(0.910604\pi\) | |||||||
\(588\) | −2.64581 | − | 3.75344i | −0.109111 | − | 0.154789i | ||||
\(589\) | −6.74479 | − | 22.9707i | −0.277914 | − | 0.946489i | ||||
\(590\) | −0.683918 | + | 4.75676i | −0.0281565 | + | 0.195833i | ||||
\(591\) | 30.8197 | + | 32.6344i | 1.26775 | + | 1.34240i | ||||
\(592\) | 2.99231 | + | 1.36654i | 0.122983 | + | 0.0561645i | ||||
\(593\) | 2.68805 | − | 9.15464i | 0.110385 | − | 0.375936i | −0.885709 | − | 0.464242i | \(-0.846327\pi\) |
0.996093 | + | 0.0883054i | \(0.0281452\pi\) | |||||||
\(594\) | −7.62876 | + | 0.985187i | −0.313012 | + | 0.0404227i | ||||
\(595\) | 3.20168 | − | 0.460333i | 0.131256 | − | 0.0188718i | ||||
\(596\) | 19.7702 | + | 12.7056i | 0.809821 | + | 0.520440i | ||||
\(597\) | −3.67016 | + | 36.5830i | −0.150210 | + | 1.49724i | ||||
\(598\) | 17.2554 | + | 0.841220i | 0.705624 | + | 0.0344001i | ||||
\(599\) | 19.3843i | 0.792022i | 0.918246 | + | 0.396011i | \(0.129606\pi\) | ||||
−0.918246 | + | 0.396011i | \(0.870394\pi\) | |||||||
\(600\) | −1.07719 | + | 1.35634i | −0.0439762 | + | 0.0553723i | ||||
\(601\) | 3.70050 | + | 25.7375i | 0.150947 | + | 1.04986i | 0.914638 | + | 0.404275i | \(0.132476\pi\) |
−0.763691 | + | 0.645582i | \(0.776615\pi\) | |||||||
\(602\) | 1.85951 | − | 0.849211i | 0.0757881 | − | 0.0346112i | ||||
\(603\) | 5.63727 | − | 10.6823i | 0.229567 | − | 0.435016i | ||||
\(604\) | 9.50817 | − | 20.8200i | 0.386882 | − | 0.847154i | ||||
\(605\) | 5.76839 | − | 6.65707i | 0.234518 | − | 0.270648i | ||||
\(606\) | 6.61785 | − | 26.7199i | 0.268832 | − | 1.08542i | ||||
\(607\) | 9.04227 | − | 2.65505i | 0.367014 | − | 0.107765i | −0.0930248 | − | 0.995664i | \(-0.529654\pi\) |
0.460039 | + | 0.887899i | \(0.347835\pi\) | |||||||
\(608\) | 2.85298 | + | 3.29251i | 0.115704 | + | 0.133529i | ||||
\(609\) | 12.2431 | − | 6.23774i | 0.496117 | − | 0.252766i | ||||
\(610\) | 6.35257 | − | 4.08255i | 0.257208 | − | 0.165298i | ||||
\(611\) | −9.59169 | + | 8.31125i | −0.388038 | + | 0.336237i | ||||
\(612\) | −4.63629 | + | 0.397933i | −0.187411 | + | 0.0160855i | ||||
\(613\) | −22.3810 | − | 3.21790i | −0.903960 | − | 0.129970i | −0.325368 | − | 0.945587i | \(-0.605488\pi\) |
−0.578591 | + | 0.815617i | \(0.696397\pi\) | |||||||
\(614\) | −20.4542 | − | 17.7237i | −0.825464 | − | 0.715269i | ||||
\(615\) | −1.14526 | − | 0.668552i | −0.0461815 | − | 0.0269586i | ||||
\(616\) | −2.96199 | − | 0.869719i | −0.119342 | − | 0.0350420i | ||||
\(617\) | 15.9515 | + | 34.9289i | 0.642184 | + | 1.40619i | 0.898232 | + | 0.439522i | \(0.144852\pi\) |
−0.256048 | + | 0.966664i | \(0.582420\pi\) | |||||||
\(618\) | −0.218888 | − | 5.10987i | −0.00880497 | − | 0.205549i | ||||
\(619\) | −4.78511 | + | 7.44578i | −0.192330 | + | 0.299271i | −0.924004 | − | 0.382384i | \(-0.875103\pi\) |
0.731674 | + | 0.681655i | \(0.238740\pi\) | |||||||
\(620\) | −5.49518 | −0.220692 | ||||||||
\(621\) | −1.57095 | + | 24.8703i | −0.0630402 | + | 0.998011i | ||||
\(622\) | 1.97901 | 0.0793511 | ||||||||
\(623\) | −8.26784 | + | 12.8650i | −0.331244 | + | 0.515426i | ||||
\(624\) | −0.267024 | − | 6.23358i | −0.0106895 | − | 0.249543i | ||||
\(625\) | 0.415415 | + | 0.909632i | 0.0166166 | + | 0.0363853i | ||||
\(626\) | 5.69694 | + | 1.67277i | 0.227696 | + | 0.0668574i | ||||
\(627\) | 9.64711 | + | 5.63154i | 0.385268 | + | 0.224902i | ||||
\(628\) | 12.3351 | + | 10.6884i | 0.492225 | + | 0.426515i | ||||
\(629\) | 5.05057 | + | 0.726163i | 0.201379 | + | 0.0289540i | ||||
\(630\) | −6.23312 | + | 0.534989i | −0.248334 | + | 0.0213145i | ||||
\(631\) | 23.3976 | − | 20.2741i | 0.931443 | − | 0.807100i | −0.0500205 | − | 0.998748i | \(-0.515929\pi\) |
0.981464 | + | 0.191648i | \(0.0613832\pi\) | |||||||
\(632\) | −2.53046 | + | 1.62623i | −0.100656 | + | 0.0646879i | ||||
\(633\) | −37.7217 | + | 19.2188i | −1.49930 | + | 0.763877i | ||||
\(634\) | 9.19065 | + | 10.6066i | 0.365007 | + | 0.421241i | ||||
\(635\) | −0.359663 | + | 0.105607i | −0.0142728 | + | 0.00419087i | ||||
\(636\) | 0.0290854 | − | 0.117434i | 0.00115331 | − | 0.00465656i | ||||
\(637\) | 6.25443 | − | 7.21800i | 0.247810 | − | 0.285988i | ||||
\(638\) | −2.33945 | + | 5.12267i | −0.0926195 | + | 0.202808i | ||||
\(639\) | −0.916209 | + | 1.73616i | −0.0362447 | + | 0.0686814i | ||||
\(640\) | 0.909632 | − | 0.415415i | 0.0359564 | − | 0.0164207i | ||||
\(641\) | −3.64547 | − | 25.3548i | −0.143988 | − | 1.00146i | −0.925819 | − | 0.377966i | \(-0.876624\pi\) |
0.781832 | − | 0.623489i | \(-0.214285\pi\) | |||||||
\(642\) | 12.6235 | − | 15.8948i | 0.498210 | − | 0.627318i | ||||
\(643\) | 34.6081i | 1.36481i | 0.730974 | + | 0.682406i | \(0.239066\pi\) | ||||
−0.730974 | + | 0.682406i | \(0.760934\pi\) | |||||||
\(644\) | −4.59260 | + | 8.88411i | −0.180974 | + | 0.350083i | ||||
\(645\) | −0.169491 | + | 1.68943i | −0.00667370 | + | 0.0665214i | ||||
\(646\) | 5.68486 | + | 3.65344i | 0.223668 | + | 0.143743i | ||||
\(647\) | 27.5272 | − | 3.95781i | 1.08220 | − | 0.155597i | 0.421935 | − | 0.906626i | \(-0.361351\pi\) |
0.660270 | + | 0.751029i | \(0.270442\pi\) | |||||||
\(648\) | 8.99636 | − | 0.255932i | 0.353410 | − | 0.0100540i | ||||
\(649\) | 2.00426 | − | 6.82590i | 0.0786743 | − | 0.267940i | ||||
\(650\) | −3.27673 | − | 1.49643i | −0.128524 | − | 0.0586950i | ||||
\(651\) | −13.6279 | − | 14.4303i | −0.534118 | − | 0.565566i | ||||
\(652\) | 0.353064 | − | 2.45561i | 0.0138270 | − | 0.0961692i | ||||
\(653\) | 8.18759 | + | 27.8844i | 0.320405 | + | 1.09120i | 0.949473 | + | 0.313849i | \(0.101619\pi\) |
−0.629067 | + | 0.777351i | \(0.716563\pi\) | |||||||
\(654\) | 14.6008 | + | 20.7132i | 0.570936 | + | 0.809950i | ||||
\(655\) | −8.32275 | − | 12.9504i | −0.325197 | − | 0.506016i | ||||
\(656\) | 0.413933 | + | 0.644093i | 0.0161614 | + | 0.0251476i | ||||
\(657\) | 9.15951 | + | 16.2216i | 0.357346 | + | 0.632867i | ||||
\(658\) | −2.06994 | − | 7.04956i | −0.0806946 | − | 0.274821i | ||||
\(659\) | 1.36848 | − | 9.51801i | 0.0533085 | − | 0.370769i | −0.945652 | − | 0.325181i | \(-0.894575\pi\) |
0.998960 | − | 0.0455880i | \(-0.0145161\pi\) | |||||||
\(660\) | 1.86414 | − | 1.76048i | 0.0725614 | − | 0.0685266i | ||||
\(661\) | −31.2494 | − | 14.2711i | −1.21546 | − | 0.555082i | −0.298633 | − | 0.954368i | \(-0.596531\pi\) |
−0.916826 | + | 0.399286i | \(0.869258\pi\) | |||||||
\(662\) | −1.29882 | + | 4.42337i | −0.0504801 | + | 0.171919i | ||||
\(663\) | −3.12148 | − | 9.16064i | −0.121228 | − | 0.355770i | ||||
\(664\) | 2.13715 | − | 0.307276i | 0.0829376 | − | 0.0119246i | ||||
\(665\) | 7.64284 | + | 4.91175i | 0.296377 | + | 0.190470i | ||||
\(666\) | −9.67206 | − | 1.96041i | −0.374785 | − | 0.0759645i | ||||
\(667\) | 14.8497 | + | 10.5993i | 0.574983 | + | 0.410408i | ||||
\(668\) | − | 13.9101i | − | 0.538197i | ||||||
\(669\) | 29.8154 | + | 23.6791i | 1.15273 | + | 0.915486i | ||||
\(670\) | 0.572983 | + | 3.98518i | 0.0221363 | + | 0.153961i | ||||
\(671\) | −10.1684 | + | 4.64375i | −0.392546 | + | 0.179270i | ||||
\(672\) | 3.34673 | + | 1.35846i | 0.129103 | + | 0.0524039i | ||||
\(673\) | 14.1459 | − | 30.9752i | 0.545284 | − | 1.19400i | −0.413666 | − | 0.910429i | \(-0.635752\pi\) |
0.958950 | − | 0.283576i | \(-0.0915208\pi\) | |||||||
\(674\) | −6.52852 | + | 7.53431i | −0.251469 | + | 0.290211i | ||||
\(675\) | 2.22625 | − | 4.69508i | 0.0856885 | − | 0.180714i | ||||
\(676\) | −0.0227457 | + | 0.00667873i | −0.000874833 | + | 0.000256874i | ||||
\(677\) | −25.7333 | − | 29.6978i | −0.989012 | − | 1.14138i | −0.989955 | − | 0.141382i | \(-0.954846\pi\) |
0.000942858 | − | 1.00000i | \(-0.499700\pi\) | |||||||
\(678\) | −8.30790 | − | 16.3064i | −0.319063 | − | 0.626242i | ||||
\(679\) | 21.8743 | − | 14.0578i | 0.839460 | − | 0.539488i | ||||
\(680\) | 1.17225 | − | 1.01576i | 0.0449538 | − | 0.0389527i | ||||
\(681\) | −23.4103 | + | 4.39577i | −0.897083 | + | 0.168446i | ||||
\(682\) | 8.05198 | + | 1.15770i | 0.308326 | + | 0.0443306i | ||||
\(683\) | 12.3670 | + | 10.7160i | 0.473209 | + | 0.410038i | 0.858545 | − | 0.512739i | \(-0.171369\pi\) |
−0.385336 | + | 0.922776i | \(0.625914\pi\) | |||||||
\(684\) | −10.5733 | − | 7.68290i | −0.404279 | − | 0.293763i | ||||
\(685\) | −5.62550 | − | 1.65180i | −0.214939 | − | 0.0631119i | ||||
\(686\) | 8.36080 | + | 18.3076i | 0.319217 | + | 0.698987i | ||||
\(687\) | 27.9406 | − | 1.19687i | 1.06600 | − | 0.0456635i | ||||
\(688\) | 0.529985 | − | 0.824673i | 0.0202055 | − | 0.0314404i | ||||
\(689\) | 0.251615 | 0.00958575 | ||||||||
\(690\) | −4.44957 | − | 7.01436i | −0.169392 | − | 0.267032i | ||||
\(691\) | −48.2082 | −1.83393 | −0.916963 | − | 0.398972i | \(-0.869367\pi\) | ||||
−0.916963 | + | 0.398972i | \(0.869367\pi\) | |||||||
\(692\) | 13.3869 | − | 20.8304i | 0.508894 | − | 0.791854i | ||||
\(693\) | 9.24598 | + | 0.529257i | 0.351226 | + | 0.0201048i | ||||
\(694\) | 1.28233 | + | 2.80790i | 0.0486765 | + | 0.106587i | ||||
\(695\) | 3.35750 | + | 0.985852i | 0.127357 | + | 0.0373955i | ||||
\(696\) | 3.32185 | − | 5.69050i | 0.125915 | − | 0.215698i | ||||
\(697\) | 0.897517 | + | 0.777703i | 0.0339959 | + | 0.0294576i | ||||
\(698\) | −18.7415 | − | 2.69463i | −0.709377 | − | 0.101993i | ||||
\(699\) | 0.936366 | + | 4.98674i | 0.0354166 | + | 0.188616i | ||||
\(700\) | 1.57600 | − | 1.36561i | 0.0595672 | − | 0.0516153i | ||||
\(701\) | −36.8554 | + | 23.6855i | −1.39201 | + | 0.894590i | −0.999682 | − | 0.0252349i | \(-0.991967\pi\) |
−0.392328 | + | 0.919825i | \(0.628330\pi\) | |||||||
\(702\) | 5.01484 | + | 18.0336i | 0.189273 | + | 0.680635i | ||||
\(703\) | 9.38510 | + | 10.8310i | 0.353966 | + | 0.408498i | ||||
\(704\) | −1.42038 | + | 0.417062i | −0.0535327 | + | 0.0157186i | ||||
\(705\) | 5.92345 | + | 1.46709i | 0.223090 | + | 0.0552538i | ||||
\(706\) | −7.58905 | + | 8.75823i | −0.285618 | + | 0.329620i | ||||
\(707\) | −13.7677 | + | 30.1471i | −0.517789 | + | 1.13380i | ||||
\(708\) | −3.13057 | + | 7.71252i | −0.117654 | + | 0.289854i | ||||
\(709\) | −38.0324 | + | 17.3688i | −1.42834 | + | 0.652299i | −0.971454 | − | 0.237229i | \(-0.923761\pi\) |
−0.456881 | + | 0.889528i | \(0.651034\pi\) | |||||||
\(710\) | −0.0931252 | − | 0.647700i | −0.00349493 | − | 0.0243078i | ||||
\(711\) | 6.28948 | − | 6.47095i | 0.235874 | − | 0.242679i | ||||
\(712\) | 7.33340i | 0.274831i | ||||||||
\(713\) | 8.64725 | − | 24.8949i | 0.323842 | − | 0.932322i | ||||
\(714\) | 5.57452 | + | 0.559259i | 0.208621 | + | 0.0209297i | ||||
\(715\) | 4.48607 | + | 2.88302i | 0.167770 | + | 0.107819i | ||||
\(716\) | −14.3646 | + | 2.06531i | −0.536829 | + | 0.0771844i | ||||
\(717\) | −14.4711 | + | 4.93101i | −0.540434 | + | 0.184152i | ||||
\(718\) | 6.81087 | − | 23.1957i | 0.254180 | − | 0.865656i | ||||
\(719\) | 24.2600 | + | 11.0792i | 0.904744 | + | 0.413183i | 0.812774 | − | 0.582579i | \(-0.197956\pi\) |
0.0919699 | + | 0.995762i | \(0.470684\pi\) | |||||||
\(720\) | −2.37582 | + | 1.83180i | −0.0885414 | + | 0.0682672i | ||||
\(721\) | −0.876347 | + | 6.09513i | −0.0326369 | + | 0.226994i | ||||
\(722\) | −0.00559795 | − | 0.0190649i | −0.000208334 | − | 0.000709521i | ||||
\(723\) | −8.80674 | + | 6.20789i | −0.327526 | + | 0.230874i | ||||
\(724\) | −0.612265 | − | 0.952702i | −0.0227546 | − | 0.0354069i | ||||
\(725\) | −2.05672 | − | 3.20032i | −0.0763847 | − | 0.118857i | ||||
\(726\) | 12.4701 | − | 8.79024i | 0.462810 | − | 0.326236i | ||||
\(727\) | −10.0118 | − | 34.0971i | −0.371317 | − | 1.26459i | −0.907344 | − | 0.420389i | \(-0.861893\pi\) |
0.536026 | − | 0.844201i | \(-0.319925\pi\) | |||||||
\(728\) | −1.06906 | + | 7.43550i | −0.0396222 | + | 0.275578i | ||||
\(729\) | −26.1142 | + | 6.85923i | −0.967192 | + | 0.254045i | ||||
\(730\) | −5.64850 | − | 2.57958i | −0.209060 | − | 0.0954747i | ||||
\(731\) | 0.428386 | − | 1.45895i | 0.0158444 | − | 0.0539612i | ||||
\(732\) | 12.3803 | − | 4.21856i | 0.457587 | − | 0.155922i | ||||
\(733\) | 17.4721 | − | 2.51211i | 0.645347 | − | 0.0927869i | 0.188133 | − | 0.982144i | \(-0.439756\pi\) |
0.457214 | + | 0.889357i | \(0.348847\pi\) | |||||||
\(734\) | 16.7185 | + | 10.7444i | 0.617093 | + | 0.396582i | ||||
\(735\) | −4.56930 | − | 0.458411i | −0.168541 | − | 0.0169087i | ||||
\(736\) | 0.450560 | + | 4.77462i | 0.0166079 | + | 0.175995i | ||||
\(737\) | − | 5.96012i | − | 0.219544i | ||||||
\(738\) | −1.64709 | − | 1.60090i | −0.0606301 | − | 0.0589298i | ||||
\(739\) | 4.50273 | + | 31.3172i | 0.165636 | + | 1.15202i | 0.887776 | + | 0.460275i | \(0.152249\pi\) |
−0.722141 | + | 0.691746i | \(0.756842\pi\) | |||||||
\(740\) | 2.99231 | − | 1.36654i | 0.109999 | − | 0.0502350i | ||||
\(741\) | 10.2234 | − | 25.1865i | 0.375565 | − | 0.925248i | ||||
\(742\) | −0.0605091 | + | 0.132497i | −0.00222136 | + | 0.00486410i | ||||
\(743\) | −20.3994 | + | 23.5422i | −0.748382 | + | 0.863679i | −0.994410 | − | 0.105583i | \(-0.966329\pi\) |
0.246028 | + | 0.969263i | \(0.420874\pi\) | |||||||
\(744\) | −9.23878 | − | 2.28822i | −0.338710 | − | 0.0838901i | ||||
\(745\) | 22.5490 | − | 6.62098i | 0.826131 | − | 0.242574i | ||||
\(746\) | 23.0359 | + | 26.5848i | 0.843404 | + | 0.973340i | ||||
\(747\) | −6.03618 | + | 2.34969i | −0.220852 | + | 0.0859705i | ||||
\(748\) | −1.93167 | + | 1.24141i | −0.0706290 | + | 0.0453905i | ||||
\(749\) | −18.4690 | + | 16.0035i | −0.674842 | + | 0.584754i | ||||
\(750\) | 0.319643 | + | 1.70230i | 0.0116717 | + | 0.0621592i | ||||
\(751\) | −37.4182 | − | 5.37993i | −1.36541 | − | 0.196316i | −0.579660 | − | 0.814859i | \(-0.696814\pi\) |
−0.785752 | + | 0.618542i | \(0.787724\pi\) | |||||||
\(752\) | −2.66269 | − | 2.30723i | −0.0970982 | − | 0.0841361i | ||||
\(753\) | 1.61978 | − | 2.77477i | 0.0590282 | − | 0.101118i | ||||
\(754\) | 13.1487 | + | 3.86082i | 0.478849 | + | 0.140603i | ||||
\(755\) | −9.50817 | − | 20.8200i | −0.346038 | − | 0.757717i | ||||
\(756\) | −10.7022 | − | 1.69605i | −0.389236 | − | 0.0616846i | ||||
\(757\) | −3.67189 | + | 5.71358i | −0.133457 | + | 0.207664i | −0.901550 | − | 0.432675i | \(-0.857570\pi\) |
0.768093 | + | 0.640339i | \(0.221206\pi\) | |||||||
\(758\) | −23.4846 | −0.852999 | ||||||||
\(759\) | 5.04212 | + | 11.2154i | 0.183017 | + | 0.407094i | ||||
\(760\) | 4.35662 | 0.158031 | ||||||||
\(761\) | −22.2770 | + | 34.6637i | −0.807541 | + | 1.25656i | 0.155670 | + | 0.987809i | \(0.450246\pi\) |
−0.963210 | + | 0.268749i | \(0.913390\pi\) | |||||||
\(762\) | −0.648660 | + | 0.0277862i | −0.0234985 | + | 0.00100659i | ||||
\(763\) | −12.6748 | − | 27.7540i | −0.458859 | − | 1.00476i | ||||
\(764\) | −10.9042 | − | 3.20176i | −0.394500 | − | 0.115836i | ||||
\(765\) | −2.73539 | + | 3.76447i | −0.0988981 | + | 0.136105i | ||||
\(766\) | −16.2987 | − | 14.1229i | −0.588894 | − | 0.510280i | ||||
\(767\) | −17.1351 | − | 2.46365i | −0.618712 | − | 0.0889574i | ||||
\(768\) | 1.70230 | − | 0.319643i | 0.0614265 | − | 0.0115341i | ||||
\(769\) | 19.8289 | − | 17.1818i | 0.715047 | − | 0.619592i | −0.219425 | − | 0.975629i | \(-0.570418\pi\) |
0.934472 | + | 0.356038i | \(0.115873\pi\) | |||||||
\(770\) | −2.59698 | + | 1.66898i | −0.0935888 | + | 0.0601458i | ||||
\(771\) | 7.96114 | + | 15.6258i | 0.286713 | + | 0.562748i | ||||
\(772\) | −8.64849 | − | 9.98089i | −0.311266 | − | 0.359220i | ||||
\(773\) | 43.1204 | − | 12.6613i | 1.55093 | − | 0.455395i | 0.609553 | − | 0.792746i | \(-0.291349\pi\) |
0.941379 | + | 0.337351i | \(0.109531\pi\) | |||||||
\(774\) | −0.988444 | + | 2.76979i | −0.0355289 | + | 0.0995579i | ||||
\(775\) | −3.59858 | + | 4.15298i | −0.129265 | + | 0.149179i | ||||
\(776\) | 5.17979 | − | 11.3421i | 0.185943 | − | 0.407159i | ||||
\(777\) | 11.0093 | + | 4.46877i | 0.394958 | + | 0.160316i | ||||
\(778\) | −6.78043 | + | 3.09652i | −0.243090 | + | 0.111016i | ||||
\(779\) | 0.474702 | + | 3.30163i | 0.0170080 | + | 0.118293i | ||||
\(780\) | −4.88589 | − | 3.88033i | −0.174943 | − | 0.138938i | ||||
\(781\) | 0.968681i | 0.0346621i | ||||||||
\(782\) | 2.75706 | + | 6.90908i | 0.0985924 | + | 0.247068i | ||||
\(783\) | −5.84106 | + | 18.8847i | −0.208743 | + | 0.674883i | ||||
\(784\) | 2.23044 | + | 1.43342i | 0.0796586 | + | 0.0511935i | ||||
\(785\) | 16.1556 | − | 2.32282i | 0.576617 | − | 0.0829050i | ||||
\(786\) | −8.60001 | − | 25.2386i | −0.306752 | − | 0.900231i | ||||
\(787\) | −9.64630 | + | 32.8523i | −0.343853 | + | 1.17106i | 0.588194 | + | 0.808720i | \(0.299839\pi\) |
−0.932047 | + | 0.362337i | \(0.881979\pi\) | |||||||
\(788\) | −23.5737 | − | 10.7657i | −0.839778 | − | 0.383514i | ||||
\(789\) | 29.1260 | − | 27.5065i | 1.03691 | − | 0.979257i | ||||
\(790\) | −0.428078 | + | 2.97735i | −0.0152303 | + | 0.105929i | ||||
\(791\) | 6.20761 | + | 21.1412i | 0.220717 | + | 0.751694i | ||||
\(792\) | 3.86715 | − | 2.18358i | 0.137413 | − | 0.0775900i | ||||
\(793\) | 14.7064 | + | 22.8836i | 0.522240 | + | 0.812621i | ||||
\(794\) | 9.21994 | + | 14.3465i | 0.327204 | + | 0.509139i | ||||
\(795\) | −0.0697037 | − | 0.0988841i | −0.00247213 | − | 0.00350706i | ||||
\(796\) | −5.98040 | − | 20.3674i | −0.211970 | − | 0.721903i | ||||
\(797\) | −0.181887 | + | 1.26505i | −0.00644277 | + | 0.0448105i | −0.992789 | − | 0.119873i | \(-0.961751\pi\) |
0.986346 | + | 0.164684i | \(0.0526603\pi\) | |||||||
\(798\) | 10.8043 | + | 11.4404i | 0.382467 | + | 0.404986i | ||||
\(799\) | −4.97108 | − | 2.27022i | −0.175864 | − | 0.0803145i | ||||
\(800\) | 0.281733 | − | 0.959493i | 0.00996075 | − | 0.0339232i | ||||
\(801\) | −4.98170 | − | 21.4287i | −0.176020 | − | 0.757147i | ||||
\(802\) | 18.7395 | − | 2.69433i | 0.661714 | − | 0.0951401i | ||||
\(803\) | 7.73318 | + | 4.96981i | 0.272898 | + | 0.175381i | ||||
\(804\) | −0.696118 | + | 6.93869i | −0.0245502 | + | 0.244709i | ||||
\(805\) | 3.70665 | + | 9.28871i | 0.130642 | + | 0.327384i | ||||
\(806\) | − | 19.7951i | − | 0.697252i | ||||||
\(807\) | 31.4397 | − | 39.5872i | 1.10673 | − | 1.39353i | ||||
\(808\) | 2.26179 | + | 15.7311i | 0.0795695 | + | 0.553418i | ||||
\(809\) | 29.2859 | − | 13.3744i | 1.02964 | − | 0.470220i | 0.172339 | − | 0.985038i | \(-0.444868\pi\) |
0.857300 | + | 0.514818i | \(0.172140\pi\) | |||||||
\(810\) | 5.69794 | − | 6.96660i | 0.200205 | − | 0.244781i | ||||
\(811\) | 1.08821 | − | 2.38284i | 0.0382121 | − | 0.0836727i | −0.889563 | − | 0.456812i | \(-0.848991\pi\) |
0.927775 | + | 0.373139i | \(0.121719\pi\) | |||||||
\(812\) | −5.19510 | + | 5.99547i | −0.182312 | + | 0.210400i | ||||
\(813\) | 10.3580 | − | 41.8208i | 0.363270 | − | 1.46672i | ||||
\(814\) | −4.67247 | + | 1.37196i | −0.163770 | + | 0.0480872i | ||||
\(815\) | −1.62462 | − | 1.87491i | −0.0569080 | − | 0.0656753i | ||||
\(816\) | 2.39382 | − | 1.21962i | 0.0838004 | − | 0.0426953i | ||||
\(817\) | 3.59279 | − | 2.30894i | 0.125696 | − | 0.0807797i | ||||
\(818\) | 18.6789 | − | 16.1854i | 0.653093 | − | 0.565909i | ||||
\(819\) | −1.92717 | − | 22.4533i | −0.0673408 | − | 0.784583i | ||||
\(820\) | 0.757842 | + | 0.108961i | 0.0264650 | + | 0.00380509i | ||||
\(821\) | −10.1591 | − | 8.80295i | −0.354556 | − | 0.307225i | 0.459311 | − | 0.888276i | \(-0.348096\pi\) |
−0.813867 | + | 0.581051i | \(0.802642\pi\) | |||||||
\(822\) | −8.77007 | − | 5.11957i | −0.305891 | − | 0.178565i | ||||
\(823\) | −29.9724 | − | 8.80069i | −1.04477 | − | 0.306773i | −0.286069 | − | 0.958209i | \(-0.592349\pi\) |
−0.758703 | + | 0.651436i | \(0.774167\pi\) | |||||||
\(824\) | 1.22668 | + | 2.68605i | 0.0427333 | + | 0.0935728i | ||||
\(825\) | −0.109733 | − | 2.56169i | −0.00382042 | − | 0.0891866i | ||||
\(826\) | 5.41803 | − | 8.43062i | 0.188517 | − | 0.293339i | ||||
\(827\) | 48.0449 | 1.67068 | 0.835342 | − | 0.549731i | \(-0.185270\pi\) | ||||
0.835342 | + | 0.549731i | \(0.185270\pi\) | |||||||
\(828\) | −4.56005 | − | 13.6457i | −0.158473 | − | 0.474222i | ||||
\(829\) | 19.9816 | 0.693990 | 0.346995 | − | 0.937867i | \(-0.387202\pi\) | ||||
0.346995 | + | 0.937867i | \(0.387202\pi\) | |||||||
\(830\) | 1.16731 | − | 1.81638i | 0.0405180 | − | 0.0630473i | ||||
\(831\) | −1.23016 | − | 28.7177i | −0.0426737 | − | 0.996205i | ||||
\(832\) | 1.49643 | + | 3.27673i | 0.0518795 | + | 0.113600i | ||||
\(833\) | 3.94592 | + | 1.15863i | 0.136718 | + | 0.0401441i | ||||
\(834\) | 5.23430 | + | 3.05554i | 0.181249 | + | 0.105805i | ||||
\(835\) | −10.5125 | − | 9.10916i | −0.363801 | − | 0.315235i | ||||
\(836\) | −6.38367 | − | 0.917833i | −0.220784 | − | 0.0317439i | ||||
\(837\) | 28.5509 | + | 0.410285i | 0.986862 | + | 0.0141815i | ||||
\(838\) | 8.85094 | − | 7.66938i | 0.305751 | − | 0.264934i | ||||
\(839\) | 15.3131 | − | 9.84112i | 0.528666 | − | 0.339753i | −0.248926 | − | 0.968523i | \(-0.580077\pi\) |
0.777592 | + | 0.628770i | \(0.216441\pi\) | |||||||
\(840\) | 3.21830 | − | 1.63968i | 0.111042 | − | 0.0565745i | ||||
\(841\) | −9.51371 | − | 10.9794i | −0.328059 | − | 0.378600i | ||||
\(842\) | 17.2461 | − | 5.06391i | 0.594340 | − | 0.174514i | ||||
\(843\) | 11.5124 | − | 46.4817i | 0.396507 | − | 1.60092i | ||||
\(844\) | 16.0064 | − | 18.4723i | 0.550961 | − | 0.635843i | ||||
\(845\) | −0.00984779 | + | 0.0215637i | −0.000338774 | + | 0.000741812i | ||||
\(846\) | 9.34791 | + | 4.93310i | 0.321388 | + | 0.169603i | ||||
\(847\) | −16.7090 | + | 7.63073i | −0.574127 | + | 0.262195i | ||||
\(848\) | 0.00994056 | + | 0.0691381i | 0.000341360 | + | 0.00237421i | ||||
\(849\) | −9.02967 | + | 11.3697i | −0.309897 | + | 0.390206i | ||||
\(850\) | − | 1.55111i | − | 0.0532027i | ||||||
\(851\) | 1.48215 | + | 15.7065i | 0.0508075 | + | 0.538412i | ||||
\(852\) | 0.113138 | − | 1.12772i | 0.00387604 | − | 0.0386352i | ||||
\(853\) | 4.36218 | + | 2.80340i | 0.149358 | + | 0.0959867i | 0.613185 | − | 0.789939i | \(-0.289888\pi\) |
−0.463827 | + | 0.885926i | \(0.653524\pi\) | |||||||
\(854\) | −15.5868 | + | 2.24105i | −0.533370 | + | 0.0766870i | ||||
\(855\) | −12.7304 | + | 2.95952i | −0.435370 | + | 0.101214i | ||||
\(856\) | −3.30160 | + | 11.2442i | −0.112846 | + | 0.384319i | ||||
\(857\) | −1.40866 | − | 0.643313i | −0.0481188 | − | 0.0219751i | 0.391210 | − | 0.920301i | \(-0.372057\pi\) |
−0.439329 | + | 0.898326i | \(0.644784\pi\) | |||||||
\(858\) | 6.34171 | + | 6.71511i | 0.216502 | + | 0.229250i | ||||
\(859\) | 1.11993 | − | 7.78930i | 0.0382116 | − | 0.265767i | −0.961755 | − | 0.273910i | \(-0.911683\pi\) |
0.999967 | + | 0.00814286i | \(0.00259198\pi\) | |||||||
\(860\) | −0.276180 | − | 0.940582i | −0.00941766 | − | 0.0320736i | ||||
\(861\) | 1.59329 | + | 2.26030i | 0.0542992 | + | 0.0770308i | ||||
\(862\) | 21.1737 | + | 32.9470i | 0.721180 | + | 1.12218i | ||||
\(863\) | −7.57325 | − | 11.7842i | −0.257796 | − | 0.401139i | 0.688096 | − | 0.725620i | \(-0.258447\pi\) |
−0.945892 | + | 0.324481i | \(0.894810\pi\) | |||||||
\(864\) | −4.75711 | + | 2.09042i | −0.161840 | + | 0.0711176i | ||||
\(865\) | −6.97603 | − | 23.7582i | −0.237192 | − | 0.807802i | ||||
\(866\) | −1.11962 | + | 7.78713i | −0.0380463 | + | 0.264618i | ||||
\(867\) | −18.3776 | + | 17.3557i | −0.624137 | + | 0.589432i | ||||
\(868\) | 10.4238 | + | 4.76039i | 0.353807 | + | 0.161578i | ||||
\(869\) | 1.25451 | − | 4.27246i | 0.0425563 | − | 0.144933i | ||||
\(870\) | −2.12524 | − | 6.23697i | −0.0720524 | − | 0.211453i | ||||
\(871\) | −14.3557 | + | 2.06403i | −0.486423 | + | 0.0699371i | ||||
\(872\) | −12.3086 | − | 7.91024i | −0.416821 | − | 0.267875i | ||||
\(873\) | −7.43082 | + | 36.6613i | −0.251495 | + | 1.24080i | ||||
\(874\) | −6.85560 | + | 19.7369i | −0.231894 | + | 0.667609i | ||||
\(875\) | − | 2.08535i | − | 0.0704976i | ||||||
\(876\) | −8.42240 | − | 6.68899i | −0.284567 | − | 0.226000i | ||||
\(877\) | 0.203448 | + | 1.41501i | 0.00686995 | + | 0.0477816i | 0.992968 | − | 0.118383i | \(-0.0377709\pi\) |
−0.986098 | + | 0.166164i | \(0.946862\pi\) | |||||||
\(878\) | 3.55296 | − | 1.62258i | 0.119907 | − | 0.0547595i | ||||
\(879\) | −22.4478 | − | 9.11175i | −0.757147 | − | 0.307332i | ||||
\(880\) | −0.614959 | + | 1.34657i | −0.0207303 | + | 0.0453929i | ||||
\(881\) | 27.0647 | − | 31.2344i | 0.911834 | − | 1.05231i | −0.0865928 | − | 0.996244i | \(-0.527598\pi\) |
0.998427 | − | 0.0560688i | \(-0.0178566\pi\) | |||||||
\(882\) | −7.49126 | − | 2.67338i | −0.252244 | − | 0.0900174i | ||||
\(883\) | −17.0312 | + | 5.00081i | −0.573146 | + | 0.168291i | −0.555446 | − | 0.831553i | \(-0.687452\pi\) |
−0.0176996 | + | 0.999843i | \(0.505634\pi\) | |||||||
\(884\) | 3.65904 | + | 4.22276i | 0.123067 | + | 0.142027i | ||||
\(885\) | 3.77865 | + | 7.41656i | 0.127018 | + | 0.249305i | ||||
\(886\) | 9.40358 | − | 6.04331i | 0.315919 | − | 0.203029i | ||||
\(887\) | −15.7276 | + | 13.6281i | −0.528082 | + | 0.457586i | −0.877634 | − | 0.479331i | \(-0.840879\pi\) |
0.349552 | + | 0.936917i | \(0.386334\pi\) | |||||||
\(888\) | 5.59985 | − | 1.05149i | 0.187919 | − | 0.0352857i | ||||
\(889\) | 0.773730 | + | 0.111246i | 0.0259501 | + | 0.00373106i | ||||
\(890\) | 5.54221 | + | 4.80235i | 0.185775 | + | 0.160975i | ||||
\(891\) | −9.81677 | + | 9.00760i | −0.328874 | + | 0.301766i | ||||
\(892\) | −21.0918 | − | 6.19311i | −0.706205 | − | 0.207361i | ||||
\(893\) | −6.37638 | − | 13.9623i | −0.213377 | − | 0.467231i | ||||
\(894\) | 40.6675 | − | 1.74205i | 1.36013 | − | 0.0582627i | ||||
\(895\) | −7.84593 | + | 12.2085i | −0.262261 | + | 0.408086i | ||||
\(896\) | −2.08535 | −0.0696665 | ||||||||
\(897\) | 25.2676 | − | 16.0285i | 0.843660 | − | 0.535177i | ||||
\(898\) | −28.3454 | −0.945899 | ||||||||
\(899\) | 11.3021 | − | 17.5864i | 0.376945 | − | 0.586538i | ||||
\(900\) | −0.171445 | + | 2.99510i | −0.00571483 | + | 0.0998366i | ||||
\(901\) | 0.0450076 | + | 0.0985529i | 0.00149942 | + | 0.00328327i | ||||
\(902\) | −1.08749 | − | 0.319317i | −0.0362096 | − | 0.0106321i | ||||
\(903\) | 1.78504 | − | 3.05785i | 0.0594023 | − | 0.101759i | ||||
\(904\) | 7.98522 | + | 6.91923i | 0.265584 | + | 0.230130i | ||||
\(905\) | −1.12095 | − | 0.161169i | −0.0372617 | − | 0.00535743i | ||||
\(906\) | −7.31611 | − | 38.9629i | −0.243061 | − | 1.29446i | ||||
\(907\) | −9.32604 | + | 8.08106i | −0.309666 | + | 0.268327i | −0.795803 | − | 0.605555i | \(-0.792951\pi\) |
0.486137 | + | 0.873883i | \(0.338406\pi\) | |||||||
\(908\) | 11.5690 | − | 7.43496i | 0.383932 | − | 0.246738i | ||||
\(909\) | −17.2955 | − | 44.4310i | −0.573656 | − | 1.47368i | ||||
\(910\) | 4.91929 | + | 5.67717i | 0.163073 | + | 0.188196i | ||||
\(911\) | −45.5666 | + | 13.3796i | −1.50969 | + | 0.443285i | −0.928764 | − | 0.370672i | \(-0.879127\pi\) |
−0.580925 | + | 0.813957i | \(0.697309\pi\) | |||||||
\(912\) | 7.32457 | + | 1.81411i | 0.242541 | + | 0.0600713i | ||||
\(913\) | −2.09311 | + | 2.41557i | −0.0692717 | + | 0.0799438i | ||||
\(914\) | −8.06707 | + | 17.6644i | −0.266835 | + | 0.584287i | ||||
\(915\) | 4.91917 | − | 12.1189i | 0.162623 | − | 0.400640i | ||||
\(916\) | −14.6872 | + | 6.70742i | −0.485279 | + | 0.221620i | ||||
\(917\) | 4.56863 | + | 31.7755i | 0.150870 | + | 1.04932i | ||||
\(918\) | −6.16641 | + | 5.18999i | −0.203522 | + | 0.171295i | ||||
\(919\) | 5.89593i | 0.194489i | 0.995261 | + | 0.0972445i | \(0.0310029\pi\) | ||||
−0.995261 | + | 0.0972445i | \(0.968997\pi\) | |||||||
\(920\) | 3.90347 | + | 2.78620i | 0.128694 | + | 0.0918583i | ||||
\(921\) | −46.6434 | − | 4.67946i | −1.53695 | − | 0.154193i | ||||
\(922\) | 33.7707 | + | 21.7031i | 1.11218 | + | 0.714754i | ||||
\(923\) | 2.33319 | − | 0.335461i | 0.0767977 | − | 0.0110418i | ||||
\(924\) | −5.06115 | + | 1.72458i | −0.166500 | + | 0.0567345i | ||||
\(925\) | 0.926782 | − | 3.15633i | 0.0304724 | − | 0.103779i | ||||
\(926\) | −8.23241 | − | 3.75962i | −0.270534 | − | 0.123549i | ||||
\(927\) | −5.40911 | − | 7.01553i | −0.177659 | − | 0.230420i | ||||
\(928\) | −0.541398 | + | 3.76551i | −0.0177723 | + | 0.123609i | ||||
\(929\) | 2.30221 | + | 7.84060i | 0.0755330 | + | 0.257242i | 0.988600 | − | 0.150569i | \(-0.0481105\pi\) |
−0.913067 | + | 0.407811i | \(0.866292\pi\) | |||||||
\(930\) | −7.77944 | + | 5.48374i | −0.255098 | + | 0.179819i | ||||
\(931\) | 6.24485 | + | 9.71718i | 0.204667 | + | 0.318468i | ||||
\(932\) | −1.58376 | − | 2.46438i | −0.0518778 | − | 0.0807234i | ||||
\(933\) | 2.80165 | − | 1.97489i | 0.0917220 | − | 0.0646551i | ||||
\(934\) | −4.79078 | − | 16.3159i | −0.156759 | − | 0.533873i | ||||
\(935\) | −0.326781 | + | 2.27281i | −0.0106869 | + | 0.0743290i | ||||
\(936\) | −6.59863 | − | 8.55831i | −0.215683 | − | 0.279737i | ||||
\(937\) | 26.8292 | + | 12.2525i | 0.876473 | + | 0.400272i | 0.802263 | − | 0.596971i | \(-0.203629\pi\) |
0.0742102 | + | 0.997243i | \(0.476356\pi\) | |||||||
\(938\) | 2.36541 | − | 8.05585i | 0.0772334 | − | 0.263033i | ||||
\(939\) | 9.73435 | − | 3.31697i | 0.317669 | − | 0.108245i | ||||
\(940\) | −3.48738 | + | 0.501409i | −0.113746 | + | 0.0163542i | ||||
\(941\) | −17.4346 | − | 11.2045i | −0.568351 | − | 0.365257i | 0.224686 | − | 0.974431i | \(-0.427864\pi\) |
−0.793036 | + | 0.609175i | \(0.791501\pi\) | |||||||
\(942\) | 28.1288 | + | 2.82200i | 0.916486 | + | 0.0919457i | ||||
\(943\) | −1.68617 | + | 3.26180i | −0.0549093 | + | 0.106219i | ||||
\(944\) | − | 4.80567i | − | 0.156411i | ||||||
\(945\) | −8.29025 | + | 6.97753i | −0.269682 | + | 0.226979i | ||||
\(946\) | 0.206523 | + | 1.43640i | 0.00671465 | + | 0.0467014i | ||||
\(947\) | −31.4464 | + | 14.3611i | −1.02187 | + | 0.466672i | −0.854627 | − | 0.519243i | \(-0.826214\pi\) |
−0.167244 | + | 0.985916i | \(0.553487\pi\) | |||||||
\(948\) | −1.95949 | + | 4.82742i | −0.0636412 | + | 0.156787i | ||||
\(949\) | 9.29234 | − | 20.3474i | 0.301642 | − | 0.660504i | ||||
\(950\) | 2.85298 | − | 3.29251i | 0.0925629 | − | 0.106823i | ||||
\(951\) | 23.5956 | + | 5.84403i | 0.765138 | + | 0.189506i | ||||
\(952\) | −3.10358 | + | 0.911294i | −0.100588 | + | 0.0295352i | ||||
\(953\) | −16.0721 | − | 18.5482i | −0.520626 | − | 0.600835i | 0.433161 | − | 0.901316i | \(-0.357398\pi\) |
−0.953788 | + | 0.300482i | \(0.902853\pi\) | |||||||
\(954\) | −0.0760137 | − | 0.195274i | −0.00246103 | − | 0.00632223i | ||||
\(955\) | −9.56045 | + | 6.14413i | −0.309369 | + | 0.198819i | ||||
\(956\) | 6.67072 | − | 5.78021i | 0.215746 | − | 0.186945i | ||||
\(957\) | 1.80010 | + | 9.58665i | 0.0581888 | + | 0.309892i | ||||
\(958\) | −12.7478 | − | 1.83286i | −0.411863 | − | 0.0592170i | ||||
\(959\) | 9.24008 | + | 8.00657i | 0.298378 | + | 0.258546i | ||||
\(960\) | 0.873200 | − | 1.49583i | 0.0281824 | − | 0.0482779i | ||||
\(961\) | 0.770453 | + | 0.226225i | 0.0248533 | + | 0.00729759i | ||||
\(962\) | 4.92264 | + | 10.7791i | 0.158712 | + | 0.347531i | ||||
\(963\) | 2.00915 | − | 35.0992i | 0.0647438 | − | 1.13106i | ||||
\(964\) | 3.36324 | − | 5.23330i | 0.108323 | − | 0.168553i | ||||
\(965\) | −13.2066 | −0.425136 | ||||||||
\(966\) | 2.36396 | + | 17.1601i | 0.0760591 | + | 0.552118i | ||||
\(967\) | −48.1525 | −1.54848 | −0.774241 | − | 0.632891i | \(-0.781868\pi\) | ||||
−0.774241 | + | 0.632891i | \(0.781868\pi\) | |||||||
\(968\) | −4.76227 | + | 7.41024i | −0.153065 | + | 0.238174i | ||||
\(969\) | 11.6938 | − | 0.500919i | 0.375659 | − | 0.0160918i | ||||
\(970\) | −5.17979 | − | 11.3421i | −0.166313 | − | 0.364174i | ||||
\(971\) | −46.9925 | − | 13.7982i | −1.50806 | − | 0.442807i | −0.579807 | − | 0.814754i | \(-0.696872\pi\) |
−0.928254 | + | 0.371947i | \(0.878690\pi\) | |||||||
\(972\) | 12.4806 | − | 9.33996i | 0.400315 | − | 0.299579i | ||||
\(973\) | −5.51481 | − | 4.77861i | −0.176797 | − | 0.153195i | ||||
\(974\) | −37.6393 | − | 5.41171i | −1.20604 | − | 0.173402i | ||||
\(975\) | −6.13213 | + | 1.15144i | −0.196385 | + | 0.0368755i | ||||
\(976\) | −5.70690 | + | 4.94506i | −0.182673 | + | 0.158287i | ||||
\(977\) | −41.0841 | + | 26.4032i | −1.31440 | + | 0.844712i | −0.994701 | − | 0.102808i | \(-0.967217\pi\) |
−0.319696 | + | 0.947520i | \(0.603581\pi\) | |||||||
\(978\) | −1.95068 | − | 3.82870i | −0.0623757 | − | 0.122428i | ||||
\(979\) | −7.10916 | − | 8.20440i | −0.227210 | − | 0.262214i | ||||
\(980\) | 2.54393 | − | 0.746966i | 0.0812629 | − | 0.0238609i | ||||
\(981\) | 41.3402 | + | 14.7529i | 1.31989 | + | 0.471024i | ||||
\(982\) | −22.5025 | + | 25.9693i | −0.718084 | + | 0.828713i | ||||
\(983\) | 6.34159 | − | 13.8861i | 0.202265 | − | 0.442899i | −0.781132 | − | 0.624366i | \(-0.785357\pi\) |
0.983397 | + | 0.181467i | \(0.0580846\pi\) | |||||||
\(984\) | 1.22875 | + | 0.498759i | 0.0391711 | + | 0.0158999i | ||||
\(985\) | −23.5737 | + | 10.7657i | −0.751120 | + | 0.343025i | ||||
\(986\) | 0.839770 | + | 5.84073i | 0.0267437 | + | 0.186007i | ||||
\(987\) | −9.96527 | − | 7.91432i | −0.317198 | − | 0.251915i | ||||
\(988\) | 15.6937i | 0.499283i | ||||||||
\(989\) | 4.69573 | + | 0.228923i | 0.149316 | + | 0.00727933i | ||||
\(990\) | 0.882208 | − | 4.35254i | 0.0280384 | − | 0.138333i | ||||
\(991\) | 3.88989 | + | 2.49988i | 0.123566 | + | 0.0794113i | 0.600964 | − | 0.799276i | \(-0.294783\pi\) |
−0.477398 | + | 0.878687i | \(0.658420\pi\) | |||||||
\(992\) | 5.43925 | − | 0.782046i | 0.172696 | − | 0.0248300i | ||||
\(993\) | 2.57545 | + | 7.55821i | 0.0817294 | + | 0.239853i | ||||
\(994\) | −0.384443 | + | 1.30929i | −0.0121938 | + | 0.0415283i | ||||
\(995\) | −19.3090 | − | 8.81811i | −0.612136 | − | 0.279553i | ||||
\(996\) | 2.71889 | − | 2.56771i | 0.0861514 | − | 0.0813610i | ||||
\(997\) | 1.94644 | − | 13.5378i | 0.0616444 | − | 0.428746i | −0.935506 | − | 0.353310i | \(-0.885056\pi\) |
0.997151 | − | 0.0754359i | \(-0.0240348\pi\) | |||||||
\(998\) | −10.3337 | − | 35.1934i | −0.327108 | − | 1.11403i | ||||
\(999\) | −15.6489 | + | 6.87661i | −0.495110 | + | 0.217566i |
(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 | 690.2.q.a.251.5 | yes | 160 | |
3.2 | odd | 2 | 690.2.q.b.251.13 | yes | 160 | ||
23.11 | odd | 22 | 690.2.q.b.11.13 | yes | 160 | ||
69.11 | even | 22 | inner | 690.2.q.a.11.5 | ✓ | 160 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
690.2.q.a.11.5 | ✓ | 160 | 69.11 | even | 22 | inner | |
690.2.q.a.251.5 | yes | 160 | 1.1 | even | 1 | trivial | |
690.2.q.b.11.13 | yes | 160 | 23.11 | odd | 22 | ||
690.2.q.b.251.13 | yes | 160 | 3.2 | odd | 2 |