Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [690,2,Mod(7,690)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(690, base_ring=CyclotomicField(44))
chi = DirichletCharacter(H, H._module([0, 11, 38]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("690.7");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 690 = 2 \cdot 3 \cdot 5 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 690.w (of order \(44\), degree \(20\), 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: | \(240\) |
Relative dimension: | \(12\) over \(\Q(\zeta_{44})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{44}]$ |
Embedding invariants
Embedding label | 37.8 | ||
Character | \(\chi\) | \(=\) | 690.37 |
Dual form | 690.2.w.a.373.8 |
$q$-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 \(\left(\mathbb{Z}/690\mathbb{Z}\right)^\times\).
\(n\) | \(277\) | \(461\) | \(511\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(1\) | \(e\left(\frac{21}{22}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.877679 | + | 0.479249i | 0.620613 | + | 0.338880i | ||||
\(3\) | 0.997452 | + | 0.0713392i | 0.575879 | + | 0.0411877i | ||||
\(4\) | 0.540641 | + | 0.841254i | 0.270320 | + | 0.420627i | ||||
\(5\) | −0.516511 | − | 2.17560i | −0.230991 | − | 0.972956i | ||||
\(6\) | 0.841254 | + | 0.540641i | 0.343440 | + | 0.220716i | ||||
\(7\) | −1.41675 | − | 3.79846i | −0.535482 | − | 1.43568i | −0.869886 | − | 0.493253i | \(-0.835808\pi\) |
0.334403 | − | 0.942430i | \(-0.391465\pi\) | |||||||
\(8\) | 0.0713392 | + | 0.997452i | 0.0252222 | + | 0.352653i | ||||
\(9\) | 0.989821 | + | 0.142315i | 0.329940 | + | 0.0474383i | ||||
\(10\) | 0.589321 | − | 2.15701i | 0.186360 | − | 0.682107i | ||||
\(11\) | 0.380664 | − | 1.29642i | 0.114774 | − | 0.390886i | −0.881990 | − | 0.471269i | \(-0.843796\pi\) |
0.996764 | + | 0.0803831i | \(0.0256144\pi\) | |||||||
\(12\) | 0.479249 | + | 0.877679i | 0.138347 | + | 0.253364i | ||||
\(13\) | −3.10788 | − | 1.15918i | −0.861971 | − | 0.321499i | −0.120687 | − | 0.992691i | \(-0.538510\pi\) |
−0.741284 | + | 0.671192i | \(0.765783\pi\) | |||||||
\(14\) | 0.576955 | − | 4.01281i | 0.154198 | − | 1.07247i | ||||
\(15\) | −0.359989 | − | 2.20690i | −0.0929489 | − | 0.569819i | ||||
\(16\) | −0.415415 | + | 0.909632i | −0.103854 | + | 0.227408i | ||||
\(17\) | 1.22067 | − | 0.265541i | 0.296057 | − | 0.0644032i | −0.0620836 | − | 0.998071i | \(-0.519775\pi\) |
0.358140 | + | 0.933668i | \(0.383411\pi\) | |||||||
\(18\) | 0.800541 | + | 0.599278i | 0.188689 | + | 0.141251i | ||||
\(19\) | 6.03561 | − | 3.87885i | 1.38466 | − | 0.889869i | 0.385207 | − | 0.922830i | \(-0.374130\pi\) |
0.999457 | + | 0.0329607i | \(0.0104936\pi\) | |||||||
\(20\) | 1.55098 | − | 1.61073i | 0.346810 | − | 0.360171i | ||||
\(21\) | −1.14216 | − | 3.88985i | −0.249241 | − | 0.848836i | ||||
\(22\) | 0.955409 | − | 0.955409i | 0.203694 | − | 0.203694i | ||||
\(23\) | −1.15127 | + | 4.65560i | −0.240056 | + | 0.970759i | ||||
\(24\) | 1.00000i | 0.204124i | ||||||||
\(25\) | −4.46643 | + | 2.24744i | −0.893287 | + | 0.449487i | ||||
\(26\) | −2.17219 | − | 2.50684i | −0.426001 | − | 0.491631i | ||||
\(27\) | 0.977147 | + | 0.212565i | 0.188052 | + | 0.0409082i | ||||
\(28\) | 2.42951 | − | 3.24545i | 0.459135 | − | 0.613333i | ||||
\(29\) | 5.50536 | − | 8.56651i | 1.02232 | − | 1.59076i | 0.237157 | − | 0.971471i | \(-0.423785\pi\) |
0.785163 | − | 0.619289i | \(-0.212579\pi\) | |||||||
\(30\) | 0.741699 | − | 2.10947i | 0.135415 | − | 0.385136i | ||||
\(31\) | −4.64297 | + | 5.35827i | −0.833902 | + | 0.962374i | −0.999717 | − | 0.0237829i | \(-0.992429\pi\) |
0.165815 | + | 0.986157i | \(0.446974\pi\) | |||||||
\(32\) | −0.800541 | + | 0.599278i | −0.141517 | + | 0.105938i | ||||
\(33\) | 0.472179 | − | 1.26596i | 0.0821959 | − | 0.220376i | ||||
\(34\) | 1.19862 | + | 0.351947i | 0.205562 | + | 0.0603583i | ||||
\(35\) | −7.53215 | + | 5.04423i | −1.27317 | + | 0.852630i | ||||
\(36\) | 0.415415 | + | 0.909632i | 0.0692358 | + | 0.151605i | ||||
\(37\) | 4.71614 | + | 6.30002i | 0.775328 | + | 1.03572i | 0.998147 | + | 0.0608568i | \(0.0193833\pi\) |
−0.222819 | + | 0.974860i | \(0.571526\pi\) | |||||||
\(38\) | 7.15626 | − | 0.511826i | 1.16090 | − | 0.0830291i | ||||
\(39\) | −3.01727 | − | 1.37794i | −0.483149 | − | 0.220647i | ||||
\(40\) | 2.13321 | − | 0.670400i | 0.337289 | − | 0.106000i | ||||
\(41\) | −0.384623 | − | 2.67511i | −0.0600680 | − | 0.417782i | −0.997562 | − | 0.0697816i | \(-0.977770\pi\) |
0.937494 | − | 0.348001i | \(-0.113139\pi\) | |||||||
\(42\) | 0.861755 | − | 3.96142i | 0.132972 | − | 0.611261i | ||||
\(43\) | 0.0327711 | − | 0.458200i | 0.00499755 | − | 0.0698749i | −0.994341 | − | 0.106233i | \(-0.966121\pi\) |
0.999339 | + | 0.0363580i | \(0.0115756\pi\) | |||||||
\(44\) | 1.29642 | − | 0.380664i | 0.195443 | − | 0.0573872i | ||||
\(45\) | −0.201634 | − | 2.22696i | −0.0300578 | − | 0.331975i | ||||
\(46\) | −3.24163 | + | 3.53438i | −0.477953 | + | 0.521115i | ||||
\(47\) | 4.63739 | + | 4.63739i | 0.676433 | + | 0.676433i | 0.959191 | − | 0.282759i | \(-0.0912495\pi\) |
−0.282759 | + | 0.959191i | \(0.591250\pi\) | |||||||
\(48\) | −0.479249 | + | 0.877679i | −0.0691736 | + | 0.126682i | ||||
\(49\) | −7.13087 | + | 6.17894i | −1.01870 | + | 0.882705i | ||||
\(50\) | −4.99718 | − | 0.168005i | −0.706707 | − | 0.0237596i | ||||
\(51\) | 1.23651 | − | 0.177783i | 0.173146 | − | 0.0248946i | ||||
\(52\) | −0.705083 | − | 3.24122i | −0.0977775 | − | 0.449476i | ||||
\(53\) | −0.204563 | + | 0.0762982i | −0.0280989 | + | 0.0104804i | −0.363474 | − | 0.931604i | \(-0.618410\pi\) |
0.335375 | + | 0.942085i | \(0.391137\pi\) | |||||||
\(54\) | 0.755750 | + | 0.654861i | 0.102844 | + | 0.0891153i | ||||
\(55\) | −3.01711 | − | 0.158555i | −0.406826 | − | 0.0213795i | ||||
\(56\) | 3.68771 | − | 1.68412i | 0.492791 | − | 0.225050i | ||||
\(57\) | 6.29695 | − | 3.43839i | 0.834051 | − | 0.455426i | ||||
\(58\) | 8.93743 | − | 4.88021i | 1.17354 | − | 0.640802i | ||||
\(59\) | 7.48072 | − | 3.41633i | 0.973907 | − | 0.444769i | 0.136076 | − | 0.990698i | \(-0.456551\pi\) |
0.837831 | + | 0.545930i | \(0.183823\pi\) | |||||||
\(60\) | 1.66194 | − | 1.49598i | 0.214555 | − | 0.193131i | ||||
\(61\) | 8.31763 | + | 7.20727i | 1.06496 | + | 0.922796i | 0.997191 | − | 0.0749049i | \(-0.0238653\pi\) |
0.0677725 | + | 0.997701i | \(0.478411\pi\) | |||||||
\(62\) | −6.64298 | + | 2.47770i | −0.843660 | + | 0.314669i | ||||
\(63\) | −0.861755 | − | 3.96142i | −0.108571 | − | 0.499092i | ||||
\(64\) | −0.989821 | + | 0.142315i | −0.123728 | + | 0.0177894i | ||||
\(65\) | −0.916652 | + | 7.36022i | −0.113697 | + | 0.912923i | ||||
\(66\) | 1.02113 | − | 0.884817i | 0.125693 | − | 0.108913i | ||||
\(67\) | −5.54092 | + | 10.1474i | −0.676932 | + | 1.23971i | 0.282905 | + | 0.959148i | \(0.408702\pi\) |
−0.959837 | + | 0.280560i | \(0.909480\pi\) | |||||||
\(68\) | 0.883334 | + | 0.883334i | 0.107120 | + | 0.107120i | ||||
\(69\) | −1.48046 | + | 4.56161i | −0.178226 | + | 0.549153i | ||||
\(70\) | −9.02825 | + | 0.817438i | −1.07908 | + | 0.0977025i | ||||
\(71\) | −3.52204 | + | 1.03416i | −0.417989 | + | 0.122733i | −0.483963 | − | 0.875089i | \(-0.660803\pi\) |
0.0659734 | + | 0.997821i | \(0.478985\pi\) | |||||||
\(72\) | −0.0713392 | + | 0.997452i | −0.00840740 | + | 0.117551i | ||||
\(73\) | −2.22874 | + | 10.2453i | −0.260854 | + | 1.19913i | 0.641156 | + | 0.767411i | \(0.278455\pi\) |
−0.902010 | + | 0.431715i | \(0.857908\pi\) | |||||||
\(74\) | 1.11998 | + | 7.78960i | 0.130194 | + | 0.905522i | ||||
\(75\) | −4.61538 | + | 1.92308i | −0.532939 | + | 0.222058i | ||||
\(76\) | 6.52619 | + | 2.98041i | 0.748606 | + | 0.341877i | ||||
\(77\) | −5.46371 | + | 0.390772i | −0.622648 | + | 0.0445326i | ||||
\(78\) | −1.98782 | − | 2.65541i | −0.225076 | − | 0.300666i | ||||
\(79\) | −4.99225 | − | 10.9315i | −0.561672 | − | 1.22989i | −0.951114 | − | 0.308839i | \(-0.900060\pi\) |
0.389443 | − | 0.921051i | \(-0.372668\pi\) | |||||||
\(80\) | 2.19356 | + | 0.433940i | 0.245247 | + | 0.0485160i | ||||
\(81\) | 0.959493 | + | 0.281733i | 0.106610 | + | 0.0313036i | ||||
\(82\) | 0.944469 | − | 2.53222i | 0.104299 | − | 0.279637i | ||||
\(83\) | 5.17838 | − | 3.87649i | 0.568401 | − | 0.425500i | −0.276041 | − | 0.961146i | \(-0.589023\pi\) |
0.844443 | + | 0.535646i | \(0.179932\pi\) | |||||||
\(84\) | 2.65485 | − | 3.06386i | 0.289668 | − | 0.334295i | ||||
\(85\) | −1.20820 | − | 2.51854i | −0.131048 | − | 0.273174i | ||||
\(86\) | 0.248355 | − | 0.386447i | 0.0267808 | − | 0.0416717i | ||||
\(87\) | 6.10246 | − | 8.15193i | 0.654252 | − | 0.873979i | ||||
\(88\) | 1.32027 | + | 0.287208i | 0.140742 | + | 0.0306165i | ||||
\(89\) | 8.78742 | + | 10.1412i | 0.931464 | + | 1.07497i | 0.997022 | + | 0.0771181i | \(0.0245719\pi\) |
−0.0655578 | + | 0.997849i | \(0.520883\pi\) | |||||||
\(90\) | 0.890298 | − | 2.05119i | 0.0938456 | − | 0.216214i | ||||
\(91\) | 13.4474i | 1.40967i | ||||||||
\(92\) | −4.53896 | + | 1.54850i | −0.473219 | + | 0.161442i | ||||
\(93\) | −5.01339 | + | 5.01339i | −0.519865 | + | 0.519865i | ||||
\(94\) | 1.84767 | + | 6.29260i | 0.190573 | + | 0.649032i | ||||
\(95\) | −11.5563 | − | 11.1276i | −1.18565 | − | 1.14167i | ||||
\(96\) | −0.841254 | + | 0.540641i | −0.0858601 | + | 0.0551789i | ||||
\(97\) | −2.05711 | − | 1.53994i | −0.208868 | − | 0.156357i | 0.489722 | − | 0.871878i | \(-0.337098\pi\) |
−0.698591 | + | 0.715522i | \(0.746189\pi\) | |||||||
\(98\) | −9.21986 | + | 2.00566i | −0.931347 | + | 0.202602i | ||||
\(99\) | 0.561289 | − | 1.22905i | 0.0564117 | − | 0.123524i | ||||
\(100\) | −4.30540 | − | 2.54235i | −0.430540 | − | 0.254235i | ||||
\(101\) | 1.25693 | − | 8.74215i | 0.125069 | − | 0.869876i | −0.826608 | − | 0.562778i | \(-0.809733\pi\) |
0.951678 | − | 0.307099i | \(-0.0993582\pi\) | |||||||
\(102\) | 1.17046 | + | 0.436558i | 0.115893 | + | 0.0432257i | ||||
\(103\) | −7.20394 | − | 13.1930i | −0.709825 | − | 1.29995i | −0.944705 | − | 0.327923i | \(-0.893651\pi\) |
0.234880 | − | 0.972024i | \(-0.424530\pi\) | |||||||
\(104\) | 0.934512 | − | 3.18266i | 0.0916365 | − | 0.312085i | ||||
\(105\) | −7.87281 | + | 4.49404i | −0.768307 | + | 0.438573i | ||||
\(106\) | −0.216107 | − | 0.0310715i | −0.0209901 | − | 0.00301793i | ||||
\(107\) | −0.276704 | − | 3.86882i | −0.0267500 | − | 0.374013i | −0.993140 | − | 0.116933i | \(-0.962694\pi\) |
0.966390 | − | 0.257081i | \(-0.0827607\pi\) | |||||||
\(108\) | 0.349464 | + | 0.936950i | 0.0336272 | + | 0.0901580i | ||||
\(109\) | −16.1864 | − | 10.4024i | −1.55038 | − | 0.996367i | −0.985202 | − | 0.171397i | \(-0.945172\pi\) |
−0.565176 | − | 0.824971i | \(-0.691192\pi\) | |||||||
\(110\) | −2.57206 | − | 1.58510i | −0.245237 | − | 0.151134i | ||||
\(111\) | 4.25468 | + | 6.62041i | 0.403836 | + | 0.628382i | ||||
\(112\) | 4.04374 | + | 0.289214i | 0.382098 | + | 0.0273282i | ||||
\(113\) | 15.1432 | + | 8.26880i | 1.42455 | + | 0.777863i | 0.992296 | − | 0.123889i | \(-0.0395366\pi\) |
0.432254 | + | 0.901752i | \(0.357718\pi\) | |||||||
\(114\) | 7.17454 | 0.671958 | ||||||||
\(115\) | 10.7233 | + | 0.100023i | 0.999957 | + | 0.00932721i | ||||
\(116\) | 10.1830 | 0.945470 | ||||||||
\(117\) | −2.91128 | − | 1.58968i | −0.269148 | − | 0.146966i | ||||
\(118\) | 8.20295 | + | 0.586686i | 0.755143 | + | 0.0540089i | ||||
\(119\) | −2.73804 | − | 4.26048i | −0.250996 | − | 0.390557i | ||||
\(120\) | 2.17560 | − | 0.516511i | 0.198604 | − | 0.0471508i | ||||
\(121\) | 7.71799 | + | 4.96005i | 0.701635 | + | 0.450913i | ||||
\(122\) | 3.84613 | + | 10.3119i | 0.348213 | + | 0.933594i | ||||
\(123\) | −0.192803 | − | 2.69573i | −0.0173844 | − | 0.243066i | ||||
\(124\) | −7.01784 | − | 1.00901i | −0.630221 | − | 0.0906121i | ||||
\(125\) | 7.19647 | + | 8.55633i | 0.643672 | + | 0.765301i | ||||
\(126\) | 1.14216 | − | 3.88985i | 0.101752 | − | 0.346536i | ||||
\(127\) | −4.88465 | − | 8.94557i | −0.433442 | − | 0.793791i | 0.566091 | − | 0.824343i | \(-0.308455\pi\) |
−0.999533 | + | 0.0305523i | \(0.990273\pi\) | |||||||
\(128\) | −0.936950 | − | 0.349464i | −0.0828154 | − | 0.0308886i | ||||
\(129\) | 0.0653753 | − | 0.454695i | 0.00575597 | − | 0.0400337i | ||||
\(130\) | −4.33191 | + | 6.02061i | −0.379933 | + | 0.528042i | ||||
\(131\) | 0.800808 | − | 1.75352i | 0.0699669 | − | 0.153206i | −0.871417 | − | 0.490542i | \(-0.836799\pi\) |
0.941384 | + | 0.337336i | \(0.109526\pi\) | |||||||
\(132\) | 1.32027 | − | 0.287208i | 0.114915 | − | 0.0249983i | ||||
\(133\) | −23.2846 | − | 17.4307i | −2.01903 | − | 1.51143i | ||||
\(134\) | −9.72630 | + | 6.25072i | −0.840225 | + | 0.539980i | ||||
\(135\) | −0.0422507 | − | 2.23567i | −0.00363636 | − | 0.192416i | ||||
\(136\) | 0.351947 | + | 1.19862i | 0.0301792 | + | 0.102781i | ||||
\(137\) | 0.655626 | − | 0.655626i | 0.0560139 | − | 0.0560139i | −0.678545 | − | 0.734559i | \(-0.737389\pi\) |
0.734559 | + | 0.678545i | \(0.237389\pi\) | |||||||
\(138\) | −3.48551 | + | 3.29412i | −0.296707 | + | 0.280414i | ||||
\(139\) | 15.5586i | 1.31967i | 0.751412 | + | 0.659833i | \(0.229373\pi\) | ||||
−0.751412 | + | 0.659833i | \(0.770627\pi\) | |||||||
\(140\) | −8.31566 | − | 3.60933i | −0.702802 | − | 0.305044i | ||||
\(141\) | 4.29474 | + | 4.95640i | 0.361683 | + | 0.417404i | ||||
\(142\) | −3.58684 | − | 0.780270i | −0.301001 | − | 0.0654788i | ||||
\(143\) | −2.68584 | + | 3.58786i | −0.224601 | + | 0.300032i | ||||
\(144\) | −0.540641 | + | 0.841254i | −0.0450534 | + | 0.0701045i | ||||
\(145\) | −21.4808 | − | 7.55274i | −1.78389 | − | 0.627221i | ||||
\(146\) | −6.86618 | + | 7.92400i | −0.568249 | + | 0.655795i | ||||
\(147\) | −7.55350 | + | 5.65448i | −0.623002 | + | 0.466374i | ||||
\(148\) | −2.75018 | + | 7.37351i | −0.226063 | + | 0.606099i | ||||
\(149\) | −0.442108 | − | 0.129815i | −0.0362189 | − | 0.0106348i | 0.263573 | − | 0.964639i | \(-0.415099\pi\) |
−0.299792 | + | 0.954005i | \(0.596917\pi\) | |||||||
\(150\) | −4.97246 | − | 0.524072i | −0.406000 | − | 0.0427903i | ||||
\(151\) | 1.65445 | + | 3.62274i | 0.134637 | + | 0.294814i | 0.964927 | − | 0.262517i | \(-0.0845526\pi\) |
−0.830290 | + | 0.557331i | \(0.811825\pi\) | |||||||
\(152\) | 4.29954 | + | 5.74352i | 0.348739 | + | 0.465861i | ||||
\(153\) | 1.24604 | − | 0.0891185i | 0.100736 | − | 0.00720480i | ||||
\(154\) | −4.98266 | − | 2.27551i | −0.401514 | − | 0.183365i | ||||
\(155\) | 14.0556 | + | 7.33362i | 1.12897 | + | 0.589050i | ||||
\(156\) | −0.472061 | − | 3.28326i | −0.0377951 | − | 0.262871i | ||||
\(157\) | −3.34623 | + | 15.3824i | −0.267058 | + | 1.22765i | 0.626759 | + | 0.779213i | \(0.284381\pi\) |
−0.893817 | + | 0.448432i | \(0.851982\pi\) | |||||||
\(158\) | 0.857318 | − | 11.9869i | 0.0682046 | − | 0.953625i | ||||
\(159\) | −0.209485 | + | 0.0615104i | −0.0166132 | + | 0.00487809i | ||||
\(160\) | 1.71727 | + | 1.43212i | 0.135762 | + | 0.113219i | ||||
\(161\) | 19.3152 | − | 2.22279i | 1.52225 | − | 0.175181i | ||||
\(162\) | 0.707107 | + | 0.707107i | 0.0555556 | + | 0.0555556i | ||||
\(163\) | −6.00597 | + | 10.9991i | −0.470424 | + | 0.861517i | 0.529489 | + | 0.848317i | \(0.322384\pi\) |
−0.999913 | + | 0.0132000i | \(0.995798\pi\) | |||||||
\(164\) | 2.04250 | − | 1.76984i | 0.159493 | − | 0.138201i | ||||
\(165\) | −2.99811 | − | 0.373389i | −0.233402 | − | 0.0290683i | ||||
\(166\) | 6.40276 | − | 0.920578i | 0.496951 | − | 0.0714507i | ||||
\(167\) | −2.15623 | − | 9.91203i | −0.166854 | − | 0.767016i | −0.982169 | − | 0.187999i | \(-0.939800\pi\) |
0.815315 | − | 0.579017i | \(-0.196564\pi\) | |||||||
\(168\) | 3.79846 | − | 1.41675i | 0.293058 | − | 0.109305i | ||||
\(169\) | −1.50952 | − | 1.30801i | −0.116117 | − | 0.100616i | ||||
\(170\) | 0.146593 | − | 2.78950i | 0.0112432 | − | 0.213945i | ||||
\(171\) | 6.52619 | − | 2.98041i | 0.499071 | − | 0.227918i | ||||
\(172\) | 0.403180 | − | 0.220153i | 0.0307422 | − | 0.0167865i | ||||
\(173\) | −0.940615 | + | 0.513615i | −0.0715136 | + | 0.0390494i | −0.514608 | − | 0.857426i | \(-0.672063\pi\) |
0.443094 | + | 0.896475i | \(0.353881\pi\) | |||||||
\(174\) | 9.26281 | − | 4.23018i | 0.702212 | − | 0.320689i | ||||
\(175\) | 14.8646 | + | 13.7815i | 1.12366 | + | 1.04178i | ||||
\(176\) | 1.02113 | + | 0.884817i | 0.0769708 | + | 0.0666956i | ||||
\(177\) | 7.70538 | − | 2.87396i | 0.579172 | − | 0.216020i | ||||
\(178\) | 2.85236 | + | 13.1121i | 0.213794 | + | 0.982793i | ||||
\(179\) | 8.36854 | − | 1.20321i | 0.625494 | − | 0.0899324i | 0.177723 | − | 0.984081i | \(-0.443127\pi\) |
0.447771 | + | 0.894148i | \(0.352218\pi\) | |||||||
\(180\) | 1.76443 | − | 1.37361i | 0.131512 | − | 0.102383i | ||||
\(181\) | −2.11421 | + | 1.83198i | −0.157148 | + | 0.136170i | −0.729886 | − | 0.683569i | \(-0.760427\pi\) |
0.572738 | + | 0.819739i | \(0.305881\pi\) | |||||||
\(182\) | −6.44467 | + | 11.8025i | −0.477711 | + | 0.874862i | ||||
\(183\) | 7.78228 | + | 7.78228i | 0.575282 | + | 0.575282i | ||||
\(184\) | −4.72587 | − | 0.816206i | −0.348395 | − | 0.0601715i | ||||
\(185\) | 11.2704 | − | 13.5144i | 0.828613 | − | 0.993601i | ||||
\(186\) | −6.80281 | + | 1.99749i | −0.498807 | + | 0.146463i | ||||
\(187\) | 0.120413 | − | 1.68359i | 0.00880545 | − | 0.123116i | ||||
\(188\) | −1.39406 | + | 6.40838i | −0.101672 | + | 0.467379i | ||||
\(189\) | −0.576955 | − | 4.01281i | −0.0419673 | − | 0.291889i | ||||
\(190\) | −4.80981 | − | 15.3048i | −0.348941 | − | 1.11032i | ||||
\(191\) | −9.33107 | − | 4.26136i | −0.675172 | − | 0.308341i | 0.0481613 | − | 0.998840i | \(-0.484664\pi\) |
−0.723334 | + | 0.690499i | \(0.757391\pi\) | |||||||
\(192\) | −0.997452 | + | 0.0713392i | −0.0719849 | + | 0.00514846i | ||||
\(193\) | 4.65283 | + | 6.21546i | 0.334918 | + | 0.447398i | 0.936110 | − | 0.351706i | \(-0.114398\pi\) |
−0.601192 | + | 0.799104i | \(0.705307\pi\) | |||||||
\(194\) | −1.06747 | − | 2.33744i | −0.0766401 | − | 0.167818i | ||||
\(195\) | −1.43939 | + | 7.27607i | −0.103077 | + | 0.521051i | ||||
\(196\) | −9.05329 | − | 2.65829i | −0.646664 | − | 0.189878i | ||||
\(197\) | −1.78616 | + | 4.78888i | −0.127259 | + | 0.341194i | −0.984917 | − | 0.173026i | \(-0.944646\pi\) |
0.857659 | + | 0.514220i | \(0.171918\pi\) | |||||||
\(198\) | 1.08165 | − | 0.809715i | 0.0768697 | − | 0.0575440i | ||||
\(199\) | 14.9576 | − | 17.2620i | 1.06032 | − | 1.22367i | 0.0865187 | − | 0.996250i | \(-0.472426\pi\) |
0.973797 | − | 0.227419i | \(-0.0730288\pi\) | |||||||
\(200\) | −2.56034 | − | 4.29472i | −0.181044 | − | 0.303683i | ||||
\(201\) | −6.25072 | + | 9.72630i | −0.440892 | + | 0.686041i | ||||
\(202\) | 5.29285 | − | 7.07042i | 0.372404 | − | 0.497473i | ||||
\(203\) | −40.3393 | − | 8.77527i | −2.83126 | − | 0.615903i | ||||
\(204\) | 0.818067 | + | 0.944099i | 0.0572761 | + | 0.0661002i | ||||
\(205\) | −5.62130 | + | 2.21851i | −0.392609 | + | 0.154947i | ||||
\(206\) | − | 15.0317i | − | 1.04731i | ||||||
\(207\) | −1.80211 | + | 4.44437i | −0.125255 | + | 0.308905i | ||||
\(208\) | 2.34549 | − | 2.34549i | 0.162630 | − | 0.162630i | ||||
\(209\) | −2.73109 | − | 9.30123i | −0.188913 | − | 0.643379i | ||||
\(210\) | −9.06356 | + | 0.171287i | −0.625445 | + | 0.0118199i | ||||
\(211\) | −15.8774 | + | 10.2038i | −1.09304 | + | 0.702456i | −0.957534 | − | 0.288321i | \(-0.906903\pi\) |
−0.135508 | + | 0.990776i | \(0.543267\pi\) | |||||||
\(212\) | −0.174781 | − | 0.130840i | −0.0120040 | − | 0.00898611i | ||||
\(213\) | −3.58684 | + | 0.780270i | −0.245766 | + | 0.0534632i | ||||
\(214\) | 1.61127 | − | 3.52820i | 0.110144 | − | 0.241183i | ||||
\(215\) | −1.01379 | + | 0.165369i | −0.0691396 | + | 0.0112781i | ||||
\(216\) | −0.142315 | + | 0.989821i | −0.00968330 | + | 0.0673488i | ||||
\(217\) | 26.9311 | + | 10.0448i | 1.82820 | + | 0.681885i | ||||
\(218\) | −9.22115 | − | 16.8873i | −0.624535 | − | 1.14375i | ||||
\(219\) | −2.95395 | + | 10.0602i | −0.199610 | + | 0.679808i | ||||
\(220\) | −1.49779 | − | 2.62387i | −0.100981 | − | 0.176901i | ||||
\(221\) | −4.10152 | − | 0.589709i | −0.275898 | − | 0.0396681i | ||||
\(222\) | 0.561418 | + | 7.84965i | 0.0376799 | + | 0.526834i | ||||
\(223\) | 1.52135 | + | 4.07890i | 0.101877 | + | 0.273144i | 0.977881 | − | 0.209160i | \(-0.0670729\pi\) |
−0.876004 | + | 0.482304i | \(0.839800\pi\) | |||||||
\(224\) | 3.41050 | + | 2.19180i | 0.227874 | + | 0.146446i | ||||
\(225\) | −4.74082 | + | 1.58892i | −0.316054 | + | 0.105928i | ||||
\(226\) | 9.32803 | + | 14.5147i | 0.620491 | + | 0.965504i | ||||
\(227\) | −18.9136 | − | 1.35273i | −1.25534 | − | 0.0897838i | −0.572227 | − | 0.820095i | \(-0.693921\pi\) |
−0.683115 | + | 0.730311i | \(0.739375\pi\) | |||||||
\(228\) | 6.29695 | + | 3.43839i | 0.417025 | + | 0.227713i | ||||
\(229\) | 24.0345 | 1.58824 | 0.794122 | − | 0.607758i | \(-0.207931\pi\) | ||||
0.794122 | + | 0.607758i | \(0.207931\pi\) | |||||||
\(230\) | 9.36371 | + | 5.22694i | 0.617425 | + | 0.344654i | ||||
\(231\) | −5.47767 | −0.360404 | ||||||||
\(232\) | 8.93743 | + | 4.88021i | 0.586771 | + | 0.320401i | ||||
\(233\) | −15.0105 | − | 1.07357i | −0.983369 | − | 0.0703319i | −0.429615 | − | 0.903012i | \(-0.641351\pi\) |
−0.553754 | + | 0.832680i | \(0.686805\pi\) | |||||||
\(234\) | −1.79332 | − | 2.79045i | −0.117233 | − | 0.182418i | ||||
\(235\) | 7.69382 | − | 12.4843i | 0.501889 | − | 0.814389i | ||||
\(236\) | 6.91839 | + | 4.44618i | 0.450349 | + | 0.289421i | ||||
\(237\) | −4.19968 | − | 11.2598i | −0.272799 | − | 0.731402i | ||||
\(238\) | −0.361293 | − | 5.05153i | −0.0234191 | − | 0.327442i | ||||
\(239\) | −6.31714 | − | 0.908268i | −0.408622 | − | 0.0587510i | −0.0650608 | − | 0.997881i | \(-0.520724\pi\) |
−0.343561 | + | 0.939130i | \(0.611633\pi\) | |||||||
\(240\) | 2.15701 | + | 0.589321i | 0.139235 | + | 0.0380405i | ||||
\(241\) | −4.67069 | + | 15.9069i | −0.300865 | + | 1.02465i | 0.660831 | + | 0.750535i | \(0.270204\pi\) |
−0.961696 | + | 0.274118i | \(0.911614\pi\) | |||||||
\(242\) | 4.39682 | + | 8.05217i | 0.282638 | + | 0.517613i | ||||
\(243\) | 0.936950 | + | 0.349464i | 0.0601054 | + | 0.0224181i | ||||
\(244\) | −1.56629 | + | 10.8938i | −0.100271 | + | 0.697403i | ||||
\(245\) | 17.1260 | + | 12.3224i | 1.09414 | + | 0.787250i | ||||
\(246\) | 1.12271 | − | 2.45839i | 0.0715813 | − | 0.156741i | ||||
\(247\) | −23.2542 | + | 5.05865i | −1.47963 | + | 0.321874i | ||||
\(248\) | −5.67584 | − | 4.24888i | −0.360417 | − | 0.269804i | ||||
\(249\) | 5.44173 | − | 3.49719i | 0.344856 | − | 0.221625i | ||||
\(250\) | 2.21558 | + | 10.9586i | 0.140126 | + | 0.693084i | ||||
\(251\) | −4.73664 | − | 16.1315i | −0.298974 | − | 1.01821i | −0.962775 | − | 0.270303i | \(-0.912876\pi\) |
0.663801 | − | 0.747909i | \(-0.268942\pi\) | |||||||
\(252\) | 2.86666 | − | 2.86666i | 0.180583 | − | 0.180583i | ||||
\(253\) | 5.59737 | + | 3.26474i | 0.351904 | + | 0.205253i | ||||
\(254\) | − | 10.1923i | − | 0.639522i | ||||||
\(255\) | −1.02545 | − | 2.59831i | −0.0642163 | − | 0.162713i | ||||
\(256\) | −0.654861 | − | 0.755750i | −0.0409288 | − | 0.0472343i | ||||
\(257\) | 18.5700 | + | 4.03966i | 1.15837 | + | 0.251987i | 0.750384 | − | 0.661002i | \(-0.229869\pi\) |
0.407983 | + | 0.912990i | \(0.366232\pi\) | |||||||
\(258\) | 0.275291 | − | 0.367745i | 0.0171389 | − | 0.0228948i | ||||
\(259\) | 17.2488 | − | 26.8396i | 1.07179 | − | 1.66773i | ||||
\(260\) | −6.68739 | + | 3.20810i | −0.414734 | + | 0.198958i | ||||
\(261\) | 6.66846 | − | 7.69582i | 0.412768 | − | 0.476359i | ||||
\(262\) | 1.54323 | − | 1.15525i | 0.0953409 | − | 0.0713713i | ||||
\(263\) | 5.27210 | − | 14.1351i | 0.325092 | − | 0.871605i | −0.666882 | − | 0.745163i | \(-0.732372\pi\) |
0.991974 | − | 0.126442i | \(-0.0403556\pi\) | |||||||
\(264\) | 1.29642 | + | 0.380664i | 0.0797892 | + | 0.0234282i | ||||
\(265\) | 0.271653 | + | 0.405638i | 0.0166875 | + | 0.0249182i | ||||
\(266\) | −12.0828 | − | 26.4577i | −0.740844 | − | 1.62222i | ||||
\(267\) | 8.04156 | + | 10.7423i | 0.492135 | + | 0.657416i | ||||
\(268\) | −11.5322 | + | 0.824801i | −0.704443 | + | 0.0503827i | ||||
\(269\) | 13.7734 | + | 6.29008i | 0.839776 | + | 0.383513i | 0.788397 | − | 0.615166i | \(-0.210911\pi\) |
0.0513789 | + | 0.998679i | \(0.483638\pi\) | |||||||
\(270\) | 1.03436 | − | 1.98245i | 0.0629491 | − | 0.120648i | ||||
\(271\) | −0.131221 | − | 0.912665i | −0.00797113 | − | 0.0554404i | 0.985448 | − | 0.169979i | \(-0.0543701\pi\) |
−0.993419 | + | 0.114539i | \(0.963461\pi\) | |||||||
\(272\) | −0.265541 | + | 1.22067i | −0.0161008 | + | 0.0740142i | ||||
\(273\) | −0.959329 | + | 13.4132i | −0.0580612 | + | 0.811802i | ||||
\(274\) | 0.889637 | − | 0.261221i | 0.0537449 | − | 0.0157809i | ||||
\(275\) | 1.21342 | + | 6.64590i | 0.0731717 | + | 0.400763i | ||||
\(276\) | −4.63786 | + | 1.22075i | −0.279167 | + | 0.0734804i | ||||
\(277\) | 8.26888 | + | 8.26888i | 0.496829 | + | 0.496829i | 0.910449 | − | 0.413621i | \(-0.135736\pi\) |
−0.413621 | + | 0.910449i | \(0.635736\pi\) | |||||||
\(278\) | −7.45646 | + | 13.6555i | −0.447209 | + | 0.819002i | ||||
\(279\) | −5.35827 | + | 4.64297i | −0.320791 | + | 0.277967i | ||||
\(280\) | −5.56871 | − | 7.15311i | −0.332794 | − | 0.427480i | ||||
\(281\) | 24.3223 | − | 3.49702i | 1.45095 | − | 0.208615i | 0.628656 | − | 0.777684i | \(-0.283605\pi\) |
0.822290 | + | 0.569069i | \(0.192696\pi\) | |||||||
\(282\) | 1.39406 | + | 6.40838i | 0.0830149 | + | 0.381613i | ||||
\(283\) | −9.39274 | + | 3.50331i | −0.558341 | + | 0.208250i | −0.612762 | − | 0.790268i | \(-0.709941\pi\) |
0.0544211 | + | 0.998518i | \(0.482669\pi\) | |||||||
\(284\) | −2.77415 | − | 2.40382i | −0.164616 | − | 0.142640i | ||||
\(285\) | −10.7330 | − | 11.9236i | −0.635768 | − | 0.706296i | ||||
\(286\) | −4.07679 | + | 1.86181i | −0.241066 | + | 0.110091i | ||||
\(287\) | −9.61639 | + | 5.25095i | −0.567638 | + | 0.309954i | ||||
\(288\) | −0.877679 | + | 0.479249i | −0.0517177 | + | 0.0282400i | ||||
\(289\) | −14.0442 | + | 6.41378i | −0.826130 | + | 0.377281i | ||||
\(290\) | −15.2336 | − | 16.9236i | −0.894550 | − | 0.993785i | ||||
\(291\) | −1.94201 | − | 1.68277i | −0.113843 | − | 0.0986455i | ||||
\(292\) | −9.82387 | + | 3.66412i | −0.574899 | + | 0.214426i | ||||
\(293\) | 3.49851 | + | 16.0824i | 0.204385 | + | 0.939544i | 0.959007 | + | 0.283384i | \(0.0914570\pi\) |
−0.754621 | + | 0.656161i | \(0.772179\pi\) | |||||||
\(294\) | −9.33946 | + | 1.34281i | −0.544688 | + | 0.0783143i | ||||
\(295\) | −11.2964 | − | 14.5105i | −0.657704 | − | 0.844832i | ||||
\(296\) | −5.94752 | + | 5.15356i | −0.345693 | + | 0.299544i | ||||
\(297\) | 0.647538 | − | 1.18588i | 0.0375740 | − | 0.0688116i | ||||
\(298\) | −0.325816 | − | 0.325816i | −0.0188740 | − | 0.0188740i | ||||
\(299\) | 8.97467 | − | 13.1345i | 0.519019 | − | 0.759589i | ||||
\(300\) | −4.11306 | − | 2.84301i | −0.237468 | − | 0.164141i | ||||
\(301\) | −1.78689 | + | 0.524677i | −0.102994 | + | 0.0302419i | ||||
\(302\) | −0.284118 | + | 3.97250i | −0.0163492 | + | 0.228591i | ||||
\(303\) | 1.87739 | − | 8.63021i | 0.107853 | − | 0.495792i | ||||
\(304\) | 1.02104 | + | 7.10152i | 0.0585609 | + | 0.407300i | ||||
\(305\) | 11.3840 | − | 21.8184i | 0.651843 | − | 1.24932i | ||||
\(306\) | 1.13633 | + | 0.518946i | 0.0649598 | + | 0.0296662i | ||||
\(307\) | 18.5737 | − | 1.32842i | 1.06006 | − | 0.0758170i | 0.469596 | − | 0.882881i | \(-0.344399\pi\) |
0.590464 | + | 0.807064i | \(0.298945\pi\) | |||||||
\(308\) | −3.28264 | − | 4.38510i | −0.187046 | − | 0.249864i | ||||
\(309\) | −6.24440 | − | 13.6733i | −0.355232 | − | 0.777849i | ||||
\(310\) | 8.82165 | + | 13.1727i | 0.501036 | + | 0.748158i | ||||
\(311\) | 22.3717 | + | 6.56892i | 1.26858 | + | 0.372489i | 0.845682 | − | 0.533687i | \(-0.179194\pi\) |
0.422900 | + | 0.906176i | \(0.361012\pi\) | |||||||
\(312\) | 1.15918 | − | 3.10788i | 0.0656256 | − | 0.175949i | ||||
\(313\) | 4.26102 | − | 3.18976i | 0.240847 | − | 0.180296i | −0.472035 | − | 0.881580i | \(-0.656480\pi\) |
0.712882 | + | 0.701284i | \(0.247389\pi\) | |||||||
\(314\) | −10.3089 | + | 11.8971i | −0.581764 | + | 0.671392i | ||||
\(315\) | −8.17335 | + | 3.92095i | −0.460516 | + | 0.220920i | ||||
\(316\) | 6.49715 | − | 10.1098i | 0.365493 | − | 0.568718i | ||||
\(317\) | −3.91709 | + | 5.23262i | −0.220006 | + | 0.293893i | −0.896942 | − | 0.442148i | \(-0.854216\pi\) |
0.676936 | + | 0.736042i | \(0.263307\pi\) | |||||||
\(318\) | −0.213339 | − | 0.0464092i | −0.0119635 | − | 0.00260250i | ||||
\(319\) | −9.01011 | − | 10.3982i | −0.504469 | − | 0.582189i | ||||
\(320\) | 0.820873 | + | 2.07994i | 0.0458882 | + | 0.116272i | ||||
\(321\) | − | 3.87871i | − | 0.216488i | ||||||
\(322\) | 18.0178 | + | 7.30588i | 1.00409 | + | 0.407141i | ||||
\(323\) | 6.33752 | − | 6.33752i | 0.352629 | − | 0.352629i | ||||
\(324\) | 0.281733 | + | 0.959493i | 0.0156518 | + | 0.0533052i | ||||
\(325\) | 16.4863 | − | 1.80737i | 0.914497 | − | 0.100255i | ||||
\(326\) | −10.5426 | + | 6.77533i | −0.583902 | + | 0.375251i | ||||
\(327\) | −15.4031 | − | 11.5306i | −0.851792 | − | 0.637644i | ||||
\(328\) | 2.64086 | − | 0.574483i | 0.145817 | − | 0.0317205i | ||||
\(329\) | 11.0449 | − | 24.1850i | 0.608925 | − | 1.33336i | ||||
\(330\) | −2.45243 | − | 1.76455i | −0.135002 | − | 0.0971355i | ||||
\(331\) | 0.184112 | − | 1.28053i | 0.0101197 | − | 0.0703841i | −0.984136 | − | 0.177417i | \(-0.943226\pi\) |
0.994255 | + | 0.107033i | \(0.0341350\pi\) | |||||||
\(332\) | 6.06075 | + | 2.26054i | 0.332627 | + | 0.124064i | ||||
\(333\) | 3.77155 | + | 6.90707i | 0.206679 | + | 0.378505i | ||||
\(334\) | 2.85785 | − | 9.73295i | 0.156375 | − | 0.532563i | ||||
\(335\) | 24.9387 | + | 6.81355i | 1.36255 | + | 0.372264i | ||||
\(336\) | 4.01281 | + | 0.576955i | 0.218917 | + | 0.0314754i | ||||
\(337\) | −1.09607 | − | 15.3251i | −0.0597068 | − | 0.834811i | −0.935769 | − | 0.352613i | \(-0.885293\pi\) |
0.876062 | − | 0.482198i | \(-0.160161\pi\) | |||||||
\(338\) | −0.698012 | − | 1.87144i | −0.0379669 | − | 0.101793i | ||||
\(339\) | 14.5147 | + | 9.32803i | 0.788330 | + | 0.506629i | ||||
\(340\) | 1.46553 | − | 2.37803i | 0.0794793 | − | 0.128967i | ||||
\(341\) | 5.17917 | + | 8.05894i | 0.280468 | + | 0.436416i | ||||
\(342\) | 7.15626 | + | 0.511826i | 0.386966 | + | 0.0276764i | ||||
\(343\) | 8.66591 | + | 4.73195i | 0.467915 | + | 0.255501i | ||||
\(344\) | 0.459371 | 0.0247676 | ||||||||
\(345\) | 10.6889 | + | 0.864763i | 0.575470 | + | 0.0465573i | ||||
\(346\) | −1.07171 | −0.0576153 | ||||||||
\(347\) | −18.2708 | − | 9.97659i | −0.980826 | − | 0.535572i | −0.0929581 | − | 0.995670i | \(-0.529632\pi\) |
−0.887868 | + | 0.460098i | \(0.847814\pi\) | |||||||
\(348\) | 10.1571 | + | 0.726449i | 0.544477 | + | 0.0389417i | ||||
\(349\) | −10.3926 | − | 16.1711i | −0.556301 | − | 0.865621i | 0.443225 | − | 0.896411i | \(-0.353834\pi\) |
−0.999526 | + | 0.0307891i | \(0.990198\pi\) | |||||||
\(350\) | 6.44160 | + | 19.2196i | 0.344318 | + | 1.02733i | ||||
\(351\) | −2.79045 | − | 1.79332i | −0.148943 | − | 0.0957201i | ||||
\(352\) | 0.472179 | + | 1.26596i | 0.0251672 | + | 0.0674760i | ||||
\(353\) | 1.90416 | + | 26.6237i | 0.101348 | + | 1.41704i | 0.752752 | + | 0.658304i | \(0.228726\pi\) |
−0.651404 | + | 0.758731i | \(0.725820\pi\) | |||||||
\(354\) | 8.14019 | + | 1.17038i | 0.432646 | + | 0.0622052i | ||||
\(355\) | 4.06909 | + | 7.12838i | 0.215965 | + | 0.378335i | ||||
\(356\) | −3.78050 | + | 12.8752i | −0.200366 | + | 0.682384i | ||||
\(357\) | −2.42713 | − | 4.44495i | −0.128457 | − | 0.235252i | ||||
\(358\) | 7.92153 | + | 2.95458i | 0.418666 | + | 0.156154i | ||||
\(359\) | 2.04591 | − | 14.2296i | 0.107979 | − | 0.751009i | −0.861840 | − | 0.507181i | \(-0.830688\pi\) |
0.969818 | − | 0.243828i | \(-0.0784033\pi\) | |||||||
\(360\) | 2.20690 | − | 0.359989i | 0.116314 | − | 0.0189731i | ||||
\(361\) | 13.4902 | − | 29.5395i | 0.710011 | − | 1.55471i | ||||
\(362\) | −2.73357 | + | 0.594652i | −0.143673 | + | 0.0312542i | ||||
\(363\) | 7.34448 | + | 5.49801i | 0.385485 | + | 0.288570i | ||||
\(364\) | −11.3127 | + | 7.27023i | −0.592947 | + | 0.381064i | ||||
\(365\) | 23.4409 | − | 0.442996i | 1.22695 | − | 0.0231875i | ||||
\(366\) | 3.10069 | + | 10.5600i | 0.162076 | + | 0.551979i | ||||
\(367\) | 2.15200 | − | 2.15200i | 0.112334 | − | 0.112334i | −0.648706 | − | 0.761039i | \(-0.724689\pi\) |
0.761039 | + | 0.648706i | \(0.224689\pi\) | |||||||
\(368\) | −3.75663 | − | 2.98123i | −0.195828 | − | 0.155408i | ||||
\(369\) | − | 2.70262i | − | 0.140693i | ||||||
\(370\) | 16.3685 | − | 6.46002i | 0.850960 | − | 0.335841i | ||||
\(371\) | 0.579631 | + | 0.668930i | 0.0300929 | + | 0.0347291i | ||||
\(372\) | −6.92798 | − | 1.50709i | −0.359199 | − | 0.0781390i | ||||
\(373\) | 0.714741 | − | 0.954782i | 0.0370079 | − | 0.0494367i | −0.781656 | − | 0.623710i | \(-0.785625\pi\) |
0.818663 | + | 0.574274i | \(0.194715\pi\) | |||||||
\(374\) | 0.912542 | − | 1.41994i | 0.0471864 | − | 0.0734235i | ||||
\(375\) | 6.56774 | + | 9.04792i | 0.339157 | + | 0.467232i | ||||
\(376\) | −4.29474 | + | 4.95640i | −0.221485 | + | 0.255607i | ||||
\(377\) | −27.0401 | + | 20.2420i | −1.39264 | + | 1.04252i | ||||
\(378\) | 1.41675 | − | 3.79846i | 0.0728699 | − | 0.195372i | ||||
\(379\) | −2.93663 | − | 0.862272i | −0.150844 | − | 0.0442919i | 0.205439 | − | 0.978670i | \(-0.434138\pi\) |
−0.356283 | + | 0.934378i | \(0.615956\pi\) | |||||||
\(380\) | 3.11332 | − | 15.7378i | 0.159710 | − | 0.807331i | ||||
\(381\) | −4.23403 | − | 9.27124i | −0.216916 | − | 0.474980i | ||||
\(382\) | −6.14743 | − | 8.21201i | −0.314530 | − | 0.420163i | ||||
\(383\) | −14.0122 | + | 1.00217i | −0.715988 | + | 0.0512085i | −0.424580 | − | 0.905390i | \(-0.639578\pi\) |
−0.291408 | + | 0.956599i | \(0.594124\pi\) | |||||||
\(384\) | −0.909632 | − | 0.415415i | −0.0464195 | − | 0.0211991i | ||||
\(385\) | 3.67223 | + | 11.6850i | 0.187154 | + | 0.595522i | ||||
\(386\) | 1.10494 | + | 7.68504i | 0.0562401 | + | 0.391158i | ||||
\(387\) | 0.0976463 | − | 0.448873i | 0.00496364 | − | 0.0228175i | ||||
\(388\) | 0.183317 | − | 2.56311i | 0.00930651 | − | 0.130122i | ||||
\(389\) | 17.1829 | − | 5.04535i | 0.871207 | − | 0.255809i | 0.184578 | − | 0.982818i | \(-0.440908\pi\) |
0.686629 | + | 0.727008i | \(0.259090\pi\) | |||||||
\(390\) | −4.75037 | + | 5.69623i | −0.240544 | + | 0.288440i | ||||
\(391\) | −0.169067 | + | 5.98867i | −0.00855006 | + | 0.302860i | ||||
\(392\) | −6.67190 | − | 6.67190i | −0.336982 | − | 0.336982i | ||||
\(393\) | 0.923863 | − | 1.69193i | 0.0466027 | − | 0.0853465i | ||||
\(394\) | −3.86274 | + | 3.34709i | −0.194602 | + | 0.168624i | ||||
\(395\) | −21.2040 | + | 16.5073i | −1.06689 | + | 0.830575i | ||||
\(396\) | 1.33740 | − | 0.192289i | 0.0672069 | − | 0.00966289i | ||||
\(397\) | −2.85173 | − | 13.1092i | −0.143124 | − | 0.657931i | −0.991670 | − | 0.128808i | \(-0.958885\pi\) |
0.848545 | − | 0.529123i | \(-0.177479\pi\) | |||||||
\(398\) | 21.4008 | − | 7.98207i | 1.07272 | − | 0.400105i | ||||
\(399\) | −21.9818 | − | 19.0474i | −1.10047 | − | 0.953560i | ||||
\(400\) | −0.188917 | − | 4.99643i | −0.00944585 | − | 0.249821i | ||||
\(401\) | 13.3342 | − | 6.08951i | 0.665876 | − | 0.304095i | −0.0536510 | − | 0.998560i | \(-0.517086\pi\) |
0.719527 | + | 0.694464i | \(0.244359\pi\) | |||||||
\(402\) | −10.1474 | + | 5.54092i | −0.506108 | + | 0.276356i | ||||
\(403\) | 20.6410 | − | 11.2708i | 1.02820 | − | 0.561440i | ||||
\(404\) | 8.03391 | − | 3.66896i | 0.399702 | − | 0.182538i | ||||
\(405\) | 0.117348 | − | 2.23299i | 0.00583106 | − | 0.110958i | ||||
\(406\) | −31.1994 | − | 27.0344i | −1.54840 | − | 1.34170i | ||||
\(407\) | 9.96274 | − | 3.71591i | 0.493835 | − | 0.184191i | ||||
\(408\) | 0.265541 | + | 1.22067i | 0.0131463 | + | 0.0604324i | ||||
\(409\) | 12.6277 | − | 1.81559i | 0.624400 | − | 0.0897752i | 0.177150 | − | 0.984184i | \(-0.443312\pi\) |
0.447251 | + | 0.894409i | \(0.352403\pi\) | |||||||
\(410\) | −5.99691 | − | 0.746864i | −0.296167 | − | 0.0368850i | ||||
\(411\) | 0.700727 | − | 0.607183i | 0.0345643 | − | 0.0299501i | ||||
\(412\) | 7.20394 | − | 13.1930i | 0.354912 | − | 0.649974i | ||||
\(413\) | −23.5751 | − | 23.5751i | −1.16006 | − | 1.16006i | ||||
\(414\) | −3.71163 | + | 3.03707i | −0.182417 | + | 0.149264i | ||||
\(415\) | −11.1084 | − | 9.26382i | −0.545288 | − | 0.454743i | ||||
\(416\) | 3.18266 | − | 0.934512i | 0.156043 | − | 0.0458182i | ||||
\(417\) | −1.10994 | + | 15.5190i | −0.0543540 | + | 0.759969i | ||||
\(418\) | 2.06059 | − | 9.47236i | 0.100787 | − | 0.463308i | ||||
\(419\) | 2.80524 | + | 19.5109i | 0.137045 | + | 0.953169i | 0.936056 | + | 0.351852i | \(0.114448\pi\) |
−0.799011 | + | 0.601317i | \(0.794643\pi\) | |||||||
\(420\) | −8.03699 | − | 4.19337i | −0.392165 | − | 0.204615i | ||||
\(421\) | 14.8632 | + | 6.78779i | 0.724388 | + | 0.330817i | 0.743258 | − | 0.669005i | \(-0.233280\pi\) |
−0.0188701 | + | 0.999822i | \(0.506007\pi\) | |||||||
\(422\) | −18.8254 | + | 1.34642i | −0.916404 | + | 0.0655425i | ||||
\(423\) | 3.93022 | + | 5.25015i | 0.191094 | + | 0.255271i | ||||
\(424\) | −0.0906971 | − | 0.198599i | −0.00440464 | − | 0.00964482i | ||||
\(425\) | −4.85527 | + | 3.92941i | −0.235515 | + | 0.190604i | ||||
\(426\) | −3.52204 | − | 1.03416i | −0.170643 | − | 0.0501054i | ||||
\(427\) | 15.5925 | − | 41.8051i | 0.754574 | − | 2.02309i | ||||
\(428\) | 3.10507 | − | 2.32442i | 0.150089 | − | 0.112355i | ||||
\(429\) | −2.93495 | + | 3.38712i | −0.141701 | + | 0.163532i | ||||
\(430\) | −0.969031 | − | 0.340715i | −0.0467308 | − | 0.0164307i | ||||
\(431\) | −21.7183 | + | 33.7943i | −1.04613 | + | 1.62782i | −0.310319 | + | 0.950632i | \(0.600436\pi\) |
−0.735814 | + | 0.677183i | \(0.763200\pi\) | |||||||
\(432\) | −0.599278 | + | 0.800541i | −0.0288328 | + | 0.0385161i | ||||
\(433\) | 15.2933 | + | 3.32684i | 0.734947 | + | 0.159878i | 0.564435 | − | 0.825478i | \(-0.309094\pi\) |
0.170512 | + | 0.985356i | \(0.445458\pi\) | |||||||
\(434\) | 18.8229 | + | 21.7228i | 0.903529 | + | 1.04273i | ||||
\(435\) | −20.8873 | − | 9.06593i | −1.00147 | − | 0.434678i | ||||
\(436\) | − | 19.2408i | − | 0.921469i | ||||||
\(437\) | 11.1098 | + | 32.5650i | 0.531453 | + | 1.55779i | ||||
\(438\) | −7.41398 | + | 7.41398i | −0.354254 | + | 0.354254i | ||||
\(439\) | 2.29784 | + | 7.82571i | 0.109670 | + | 0.373501i | 0.995978 | − | 0.0895943i | \(-0.0285571\pi\) |
−0.886309 | + | 0.463095i | \(0.846739\pi\) | |||||||
\(440\) | −0.0570871 | − | 3.02073i | −0.00272152 | − | 0.144008i | ||||
\(441\) | −7.93764 | + | 5.10121i | −0.377983 | + | 0.242915i | ||||
\(442\) | −3.31720 | − | 2.48322i | −0.157783 | − | 0.118115i | ||||
\(443\) | −5.39408 | + | 1.17341i | −0.256280 | + | 0.0557504i | −0.338870 | − | 0.940833i | \(-0.610045\pi\) |
0.0825894 | + | 0.996584i | \(0.473681\pi\) | |||||||
\(444\) | −3.26919 | + | 7.15853i | −0.155149 | + | 0.339729i | ||||
\(445\) | 17.5244 | − | 24.3559i | 0.830736 | − | 1.15458i | ||||
\(446\) | −0.619551 | + | 4.30908i | −0.0293366 | + | 0.204041i | ||||
\(447\) | −0.431721 | − | 0.161024i | −0.0204197 | − | 0.00761615i | ||||
\(448\) | 1.94291 | + | 3.55817i | 0.0917939 | + | 0.168108i | ||||
\(449\) | −2.14503 | + | 7.30531i | −0.101230 | + | 0.344759i | −0.994497 | − | 0.104769i | \(-0.966590\pi\) |
0.893266 | + | 0.449528i | \(0.148408\pi\) | |||||||
\(450\) | −4.92240 | − | 0.877468i | −0.232044 | − | 0.0413642i | ||||
\(451\) | −3.61448 | − | 0.519684i | −0.170199 | − | 0.0244710i | ||||
\(452\) | 1.23086 | + | 17.2097i | 0.0578949 | + | 0.809476i | ||||
\(453\) | 1.39179 | + | 3.73154i | 0.0653920 | + | 0.175323i | ||||
\(454\) | −15.9518 | − | 10.2516i | −0.748655 | − | 0.481132i | ||||
\(455\) | 29.2562 | − | 6.94574i | 1.37155 | − | 0.325622i | ||||
\(456\) | 3.87885 | + | 6.03561i | 0.181644 | + | 0.282643i | ||||
\(457\) | 18.8301 | + | 1.34675i | 0.880834 | + | 0.0629985i | 0.504425 | − | 0.863455i | \(-0.331704\pi\) |
0.376408 | + | 0.926454i | \(0.377159\pi\) | |||||||
\(458\) | 21.0946 | + | 11.5185i | 0.985684 | + | 0.538224i | ||||
\(459\) | 1.24922 | 0.0583087 | ||||||||
\(460\) | 5.71333 | + | 9.07512i | 0.266385 | + | 0.423130i | ||||
\(461\) | 6.49620 | 0.302558 | 0.151279 | − | 0.988491i | \(-0.451661\pi\) | ||||
0.151279 | + | 0.988491i | \(0.451661\pi\) | |||||||
\(462\) | −4.80763 | − | 2.62517i | −0.223671 | − | 0.122134i | ||||
\(463\) | −34.0013 | − | 2.43182i | −1.58018 | − | 0.113016i | −0.746544 | − | 0.665336i | \(-0.768288\pi\) |
−0.833632 | + | 0.552320i | \(0.813743\pi\) | |||||||
\(464\) | 5.50536 | + | 8.56651i | 0.255580 | + | 0.397690i | ||||
\(465\) | 13.4966 | + | 8.31765i | 0.625889 | + | 0.385722i | ||||
\(466\) | −12.6599 | − | 8.13601i | −0.586457 | − | 0.376893i | ||||
\(467\) | −12.8690 | − | 34.5031i | −0.595506 | − | 1.59661i | −0.788243 | − | 0.615363i | \(-0.789009\pi\) |
0.192737 | − | 0.981250i | \(-0.438263\pi\) | |||||||
\(468\) | −0.236633 | − | 3.30857i | −0.0109384 | − | 0.152939i | ||||
\(469\) | 46.3948 | + | 6.67056i | 2.14231 | + | 0.308018i | ||||
\(470\) | 12.7358 | − | 7.26999i | 0.587459 | − | 0.335340i | ||||
\(471\) | −4.43507 | + | 15.1044i | −0.204357 | + | 0.695976i | ||||
\(472\) | 3.94130 | + | 7.21795i | 0.181413 | + | 0.332233i | ||||
\(473\) | −0.581546 | − | 0.216905i | −0.0267395 | − | 0.00997332i | ||||
\(474\) | 1.71027 | − | 11.8952i | 0.0785552 | − | 0.546363i | ||||
\(475\) | −18.2402 | + | 30.8893i | −0.836917 | + | 1.41730i | ||||
\(476\) | 2.10384 | − | 4.60677i | 0.0964295 | − | 0.211151i | ||||
\(477\) | −0.213339 | + | 0.0464092i | −0.00976814 | + | 0.00212493i | ||||
\(478\) | −5.10914 | − | 3.82465i | −0.233686 | − | 0.174935i | ||||
\(479\) | −0.924736 | + | 0.594292i | −0.0422523 | + | 0.0271539i | −0.561596 | − | 0.827411i | \(-0.689813\pi\) |
0.519344 | + | 0.854565i | \(0.326176\pi\) | |||||||
\(480\) | 1.61073 | + | 1.55098i | 0.0735195 | + | 0.0707923i | ||||
\(481\) | −7.35433 | − | 25.0466i | −0.335329 | − | 1.14202i | ||||
\(482\) | −11.7227 | + | 11.7227i | −0.533956 | + | 0.533956i | ||||
\(483\) | 19.4245 | − | 0.839200i | 0.883846 | − | 0.0381849i | ||||
\(484\) | 9.17439i | 0.417018i | ||||||||
\(485\) | −2.28776 | + | 5.27084i | −0.103882 | + | 0.239337i | ||||
\(486\) | 0.654861 | + | 0.755750i | 0.0297051 | + | 0.0342815i | ||||
\(487\) | −28.3659 | − | 6.17063i | −1.28538 | − | 0.279618i | −0.482574 | − | 0.875855i | \(-0.660298\pi\) |
−0.802808 | + | 0.596237i | \(0.796662\pi\) | |||||||
\(488\) | −6.59553 | + | 8.81060i | −0.298566 | + | 0.398837i | ||||
\(489\) | −6.77533 | + | 10.5426i | −0.306391 | + | 0.476754i | ||||
\(490\) | 9.12566 | + | 19.0228i | 0.412255 | + | 0.859360i | ||||
\(491\) | −7.84683 | + | 9.05573i | −0.354123 | + | 0.408679i | −0.904662 | − | 0.426130i | \(-0.859877\pi\) |
0.550539 | + | 0.834809i | \(0.314422\pi\) | |||||||
\(492\) | 2.16356 | − | 1.61962i | 0.0975408 | − | 0.0730181i | ||||
\(493\) | 4.44549 | − | 11.9188i | 0.200215 | − | 0.536796i | ||||
\(494\) | −22.8341 | − | 6.70470i | −1.02736 | − | 0.301659i | ||||
\(495\) | −2.96383 | − | 0.586320i | −0.133214 | − | 0.0263531i | ||||
\(496\) | −2.94530 | − | 6.44930i | −0.132248 | − | 0.289582i | ||||
\(497\) | 8.91809 | + | 11.9132i | 0.400031 | + | 0.534379i | ||||
\(498\) | 6.45212 | − | 0.461465i | 0.289126 | − | 0.0206787i | ||||
\(499\) | 28.6690 | + | 13.0927i | 1.28340 | + | 0.586109i | 0.936129 | − | 0.351656i | \(-0.114381\pi\) |
0.347270 | + | 0.937765i | \(0.387109\pi\) | |||||||
\(500\) | −3.30733 | + | 10.6800i | −0.147908 | + | 0.477622i | ||||
\(501\) | −1.44362 | − | 10.0406i | −0.0644962 | − | 0.448581i | ||||
\(502\) | 3.57376 | − | 16.4283i | 0.159505 | − | 0.733232i | ||||
\(503\) | 1.78254 | − | 24.9232i | 0.0794795 | − | 1.11127i | −0.788621 | − | 0.614880i | \(-0.789205\pi\) |
0.868100 | − | 0.496389i | \(-0.165341\pi\) | |||||||
\(504\) | 3.88985 | − | 1.14216i | 0.173268 | − | 0.0508760i | ||||
\(505\) | −19.6686 | + | 1.78084i | −0.875241 | + | 0.0792463i | ||||
\(506\) | 3.34807 | + | 5.54793i | 0.148840 | + | 0.246636i | ||||
\(507\) | −1.41236 | − | 1.41236i | −0.0627251 | − | 0.0627251i | ||||
\(508\) | 4.88465 | − | 8.94557i | 0.216721 | − | 0.396895i | ||||
\(509\) | −23.1827 | + | 20.0879i | −1.02755 | + | 0.890381i | −0.994035 | − | 0.109057i | \(-0.965217\pi\) |
−0.0335188 | + | 0.999438i | \(0.510671\pi\) | |||||||
\(510\) | 0.345220 | − | 2.77193i | 0.0152866 | − | 0.122743i | ||||
\(511\) | 42.0741 | − | 6.04934i | 1.86125 | − | 0.267607i | ||||
\(512\) | −0.212565 | − | 0.977147i | −0.00939415 | − | 0.0431842i | ||||
\(513\) | 6.72219 | − | 2.50725i | 0.296792 | − | 0.110698i | ||||
\(514\) | 14.3625 | + | 12.4452i | 0.633504 | + | 0.548934i | ||||
\(515\) | −24.9818 | + | 22.4872i | −1.10083 | + | 0.990904i | ||||
\(516\) | 0.417858 | − | 0.190830i | 0.0183952 | − | 0.00840080i | ||||
\(517\) | 7.77729 | − | 4.24672i | 0.342045 | − | 0.186771i | ||||
\(518\) | 28.0018 | − | 15.2901i | 1.23033 | − | 0.671809i | ||||
\(519\) | −0.974859 | + | 0.445203i | −0.0427916 | + | 0.0195423i | ||||
\(520\) | −7.40686 | − | 0.389245i | −0.324812 | − | 0.0170695i | ||||
\(521\) | −31.1675 | − | 27.0068i | −1.36547 | − | 1.18319i | −0.963553 | − | 0.267516i | \(-0.913797\pi\) |
−0.401921 | − | 0.915674i | \(-0.631657\pi\) | |||||||
\(522\) | 9.54098 | − | 3.55860i | 0.417598 | − | 0.155756i | ||||
\(523\) | −6.94219 | − | 31.9128i | −0.303561 | − | 1.39545i | −0.835884 | − | 0.548906i | \(-0.815044\pi\) |
0.532323 | − | 0.846541i | \(-0.321319\pi\) | |||||||
\(524\) | 1.90811 | − | 0.274345i | 0.0833561 | − | 0.0119848i | ||||
\(525\) | 13.8436 | + | 14.8068i | 0.604184 | + | 0.646223i | ||||
\(526\) | 11.4014 | − | 9.87939i | 0.497126 | − | 0.430762i | ||||
\(527\) | −4.24471 | + | 7.77360i | −0.184902 | + | 0.338623i | ||||
\(528\) | 0.955409 | + | 0.955409i | 0.0415788 | + | 0.0415788i | ||||
\(529\) | −20.3492 | − | 10.7197i | −0.884747 | − | 0.466072i | ||||
\(530\) | 0.0440225 | + | 0.486210i | 0.00191222 | + | 0.0211196i | ||||
\(531\) | 7.89078 | − | 2.31694i | 0.342430 | − | 0.100547i | ||||
\(532\) | 2.07498 | − | 29.0120i | 0.0899618 | − | 1.25783i | ||||
\(533\) | −1.90557 | + | 8.75978i | −0.0825395 | + | 0.379428i | ||||
\(534\) | 1.90969 | + | 13.2822i | 0.0826403 | + | 0.574776i | ||||
\(535\) | −8.27408 | + | 2.60029i | −0.357720 | + | 0.112420i | ||||
\(536\) | −10.5169 | − | 4.80290i | −0.454260 | − | 0.207453i | ||||
\(537\) | 8.43305 | − | 0.603144i | 0.363913 | − | 0.0260276i | ||||
\(538\) | 9.07407 | + | 12.1215i | 0.391211 | + | 0.522597i | ||||
\(539\) | 5.29604 | + | 11.5967i | 0.228117 | + | 0.499506i | ||||
\(540\) | 1.85792 | − | 1.24424i | 0.0799522 | − | 0.0535434i | ||||
\(541\) | −17.8215 | − | 5.23286i | −0.766205 | − | 0.224978i | −0.124801 | − | 0.992182i | \(-0.539829\pi\) |
−0.641404 | + | 0.767204i | \(0.721648\pi\) | |||||||
\(542\) | 0.322223 | − | 0.863914i | 0.0138407 | − | 0.0371083i | ||||
\(543\) | −2.23952 | + | 1.67648i | −0.0961069 | + | 0.0719447i | ||||
\(544\) | −0.818067 | + | 0.944099i | −0.0350743 | + | 0.0404779i | ||||
\(545\) | −14.2709 | + | 40.5880i | −0.611299 | + | 1.73860i | ||||
\(546\) | −7.27023 | + | 11.3127i | −0.311137 | + | 0.484139i | ||||
\(547\) | 5.63831 | − | 7.53190i | 0.241077 | − | 0.322041i | −0.663642 | − | 0.748050i | \(-0.730990\pi\) |
0.904719 | + | 0.426010i | \(0.140081\pi\) | |||||||
\(548\) | 0.906005 | + | 0.197089i | 0.0387026 | + | 0.00841924i | ||||
\(549\) | 7.20727 | + | 8.31763i | 0.307599 | + | 0.354988i | ||||
\(550\) | −2.12005 | + | 6.41449i | −0.0903992 | + | 0.273515i | ||||
\(551\) | − | 73.0586i | − | 3.11240i | ||||||
\(552\) | −4.65560 | − | 1.15127i | −0.198155 | − | 0.0490011i | ||||
\(553\) | −34.4501 | + | 34.4501i | −1.46497 | + | 1.46497i | ||||
\(554\) | 3.29457 | + | 11.2203i | 0.139973 | + | 0.476704i | ||||
\(555\) | 12.2058 | − | 12.6760i | 0.518105 | − | 0.538065i | ||||
\(556\) | −13.0888 | + | 8.41164i | −0.555087 | + | 0.356733i | ||||
\(557\) | −3.74709 | − | 2.80504i | −0.158769 | − | 0.118853i | 0.516939 | − | 0.856022i | \(-0.327071\pi\) |
−0.675709 | + | 0.737169i | \(0.736162\pi\) | |||||||
\(558\) | −6.92798 | + | 1.50709i | −0.293285 | + | 0.0638002i | ||||
\(559\) | −0.632985 | + | 1.38604i | −0.0267724 | + | 0.0586234i | ||||
\(560\) | −1.45942 | − | 8.94693i | −0.0616719 | − | 0.378077i | ||||
\(561\) | 0.240212 | − | 1.67071i | 0.0101417 | − | 0.0705374i | ||||
\(562\) | 23.0231 | + | 8.58717i | 0.971171 | + | 0.362228i | ||||
\(563\) | 15.4760 | + | 28.3422i | 0.652235 | + | 1.19448i | 0.969254 | + | 0.246060i | \(0.0791362\pi\) |
−0.317019 | + | 0.948419i | \(0.602682\pi\) | |||||||
\(564\) | −1.84767 | + | 6.29260i | −0.0778011 | + | 0.264966i | ||||
\(565\) | 10.1680 | − | 37.2163i | 0.427769 | − | 1.56570i | ||||
\(566\) | −9.92277 | − | 1.42668i | −0.417085 | − | 0.0599678i | ||||
\(567\) | −0.289214 | − | 4.04374i | −0.0121459 | − | 0.169821i | ||||
\(568\) | −1.28279 | − | 3.43929i | −0.0538246 | − | 0.144309i | ||||
\(569\) | −33.5656 | − | 21.5713i | −1.40714 | − | 0.904316i | −0.407183 | − | 0.913346i | \(-0.633489\pi\) |
−0.999959 | + | 0.00903080i | \(0.997125\pi\) | |||||||
\(570\) | −3.70573 | − | 15.6089i | −0.155216 | − | 0.653785i | ||||
\(571\) | 6.09366 | + | 9.48192i | 0.255012 | + | 0.396806i | 0.945029 | − | 0.326987i | \(-0.106033\pi\) |
−0.690017 | + | 0.723793i | \(0.742397\pi\) | |||||||
\(572\) | −4.47038 | − | 0.319728i | −0.186916 | − | 0.0133685i | ||||
\(573\) | −9.00329 | − | 4.91617i | −0.376118 | − | 0.205376i | ||||
\(574\) | −10.9566 | −0.457320 | ||||||||
\(575\) | −5.32111 | − | 23.3813i | −0.221906 | − | 0.975068i | ||||
\(576\) | −1.00000 | −0.0416667 | ||||||||
\(577\) | −28.4703 | − | 15.5459i | −1.18523 | − | 0.647186i | −0.239110 | − | 0.970993i | \(-0.576856\pi\) |
−0.946123 | + | 0.323806i | \(0.895037\pi\) | |||||||
\(578\) | −15.4001 | − | 1.10144i | −0.640560 | − | 0.0458138i | ||||
\(579\) | 4.19757 | + | 6.53155i | 0.174445 | + | 0.271442i | ||||
\(580\) | −5.25964 | − | 22.1542i | −0.218395 | − | 0.919901i | ||||
\(581\) | −22.0612 | − | 14.1779i | −0.915252 | − | 0.588197i | ||||
\(582\) | −0.898002 | − | 2.40764i | −0.0372234 | − | 0.0997997i | ||||
\(583\) | 0.0210448 | + | 0.294244i | 0.000871584 | + | 0.0121863i | ||||
\(584\) | −10.3782 | − | 1.49216i | −0.429454 | − | 0.0617462i | ||||
\(585\) | −1.95479 | + | 7.15485i | −0.0808207 | + | 0.295817i | ||||
\(586\) | −4.63691 | + | 15.7919i | −0.191549 | + | 0.652355i | ||||
\(587\) | 1.53615 | + | 2.81324i | 0.0634036 | + | 0.116115i | 0.907458 | − | 0.420142i | \(-0.138020\pi\) |
−0.844055 | + | 0.536257i | \(0.819838\pi\) | |||||||
\(588\) | −8.84058 | − | 3.29737i | −0.364580 | − | 0.135981i | ||||
\(589\) | −7.23921 | + | 50.3498i | −0.298286 | + | 2.07463i | ||||
\(590\) | −2.96052 | − | 18.1493i | −0.121883 | − | 0.747196i | ||||
\(591\) | −2.12324 | + | 4.64926i | −0.0873386 | + | 0.191245i | ||||
\(592\) | −7.68985 | + | 1.67282i | −0.316051 | + | 0.0687527i | ||||
\(593\) | 21.9498 | + | 16.4314i | 0.901370 | + | 0.674757i | 0.945972 | − | 0.324248i | \(-0.105111\pi\) |
−0.0446024 | + | 0.999005i | \(0.514202\pi\) | |||||||
\(594\) | 1.13666 | − | 0.730488i | 0.0466378 | − | 0.0299723i | ||||
\(595\) | −7.85484 | + | 8.15745i | −0.322017 | + | 0.334423i | ||||
\(596\) | −0.129815 | − | 0.442108i | −0.00531742 | − | 0.0181095i | ||||
\(597\) | 16.1509 | − | 16.1509i | 0.661014 | − | 0.661014i | ||||
\(598\) | 14.1716 | − | 7.22679i | 0.579519 | − | 0.295525i | ||||
\(599\) | 20.4345i | 0.834929i | 0.908693 | + | 0.417465i | \(0.137081\pi\) | ||||
−0.908693 | + | 0.417465i | \(0.862919\pi\) | |||||||
\(600\) | −2.24744 | − | 4.46643i | −0.0917512 | − | 0.182341i | ||||
\(601\) | 16.5019 | + | 19.0443i | 0.673128 | + | 0.776831i | 0.984862 | − | 0.173338i | \(-0.0554553\pi\) |
−0.311734 | + | 0.950169i | \(0.600910\pi\) | |||||||
\(602\) | −1.81976 | − | 0.395865i | −0.0741680 | − | 0.0161343i | ||||
\(603\) | −6.92866 | + | 9.25560i | −0.282157 | + | 0.376917i | ||||
\(604\) | −2.15318 | + | 3.35041i | −0.0876116 | + | 0.136326i | ||||
\(605\) | 6.80464 | − | 19.3531i | 0.276648 | − | 0.786817i | ||||
\(606\) | 5.78376 | − | 6.67482i | 0.234949 | − | 0.271146i | ||||
\(607\) | −29.9004 | + | 22.3832i | −1.21362 | + | 0.908504i | −0.997692 | − | 0.0679049i | \(-0.978369\pi\) |
−0.215928 | + | 0.976409i | \(0.569278\pi\) | |||||||
\(608\) | −2.50725 | + | 6.72219i | −0.101682 | + | 0.272621i | ||||
\(609\) | −39.6105 | − | 11.6307i | −1.60510 | − | 0.471299i | ||||
\(610\) | 20.4479 | − | 13.6938i | 0.827912 | − | 0.554447i | ||||
\(611\) | −9.03688 | − | 19.7880i | −0.365593 | − | 0.800537i | ||||
\(612\) | 0.748631 | + | 1.00005i | 0.0302616 | + | 0.0404248i | ||||
\(613\) | −15.7590 | + | 1.12711i | −0.636500 | + | 0.0455234i | −0.385861 | − | 0.922557i | \(-0.626095\pi\) |
−0.250639 | + | 0.968080i | \(0.580641\pi\) | |||||||
\(614\) | 16.9384 | + | 7.73552i | 0.683579 | + | 0.312180i | ||||
\(615\) | −5.76524 | + | 1.81184i | −0.232477 | + | 0.0730603i | ||||
\(616\) | −0.779553 | − | 5.42191i | −0.0314091 | − | 0.218455i | ||||
\(617\) | −0.999206 | + | 4.59328i | −0.0402265 | + | 0.184918i | −0.992876 | − | 0.119152i | \(-0.961982\pi\) |
0.952649 | + | 0.304071i | \(0.0983459\pi\) | |||||||
\(618\) | 1.07235 | − | 14.9934i | 0.0431363 | − | 0.603124i | ||||
\(619\) | −34.5028 | + | 10.1309i | −1.38679 | + | 0.407197i | −0.888126 | − | 0.459600i | \(-0.847993\pi\) |
−0.498660 | + | 0.866797i | \(0.666175\pi\) | |||||||
\(620\) | 1.42959 | + | 15.7892i | 0.0574135 | + | 0.634108i | ||||
\(621\) | −2.11457 | + | 4.30448i | −0.0848549 | + | 0.172733i | ||||
\(622\) | 16.4870 | + | 16.4870i | 0.661069 | + | 0.661069i | ||||
\(623\) | 26.0714 | − | 47.7463i | 1.04453 | − | 1.91291i | ||||
\(624\) | 2.50684 | − | 2.17219i | 0.100354 | − | 0.0869570i | ||||
\(625\) | 14.8981 | − | 20.0761i | 0.595922 | − | 0.803042i | ||||
\(626\) | 5.26850 | − | 0.757496i | 0.210572 | − | 0.0302756i | ||||
\(627\) | −2.06059 | − | 9.47236i | −0.0822919 | − | 0.378290i | ||||
\(628\) | −14.7496 | + | 5.50130i | −0.588572 | + | 0.219526i | ||||
\(629\) | 7.42978 | + | 6.43794i | 0.296245 | + | 0.256697i | ||||
\(630\) | −9.05269 | − | 0.475736i | −0.360668 | − | 0.0189538i | ||||
\(631\) | 16.8664 | − | 7.70264i | 0.671442 | − | 0.306637i | −0.0503658 | − | 0.998731i | \(-0.516039\pi\) |
0.721808 | + | 0.692094i | \(0.243311\pi\) | |||||||
\(632\) | 10.5475 | − | 5.75937i | 0.419557 | − | 0.229096i | ||||
\(633\) | −16.5648 | + | 9.04508i | −0.658393 | + | 0.359510i | ||||
\(634\) | −5.94568 | + | 2.71530i | −0.236133 | + | 0.107838i | ||||
\(635\) | −16.9390 | + | 15.2475i | −0.672202 | + | 0.605079i | ||||
\(636\) | −0.165002 | − | 0.142975i | −0.00654276 | − | 0.00566933i | ||||
\(637\) | 29.3244 | − | 10.9374i | 1.16187 | − | 0.433357i | ||||
\(638\) | −2.92465 | − | 13.4444i | −0.115788 | − | 0.532268i | ||||
\(639\) | −3.63337 | + | 0.522399i | −0.143734 | + | 0.0206658i | ||||
\(640\) | −0.276348 | + | 2.21893i | −0.0109236 | + | 0.0877107i | ||||
\(641\) | −35.9143 | + | 31.1199i | −1.41853 | + | 1.22916i | −0.483142 | + | 0.875542i | \(0.660505\pi\) |
−0.935388 | + | 0.353622i | \(0.884950\pi\) | |||||||
\(642\) | 1.85887 | − | 3.40426i | 0.0733636 | − | 0.134355i | ||||
\(643\) | 17.7518 | + | 17.7518i | 0.700061 | + | 0.700061i | 0.964423 | − | 0.264363i | \(-0.0851616\pi\) |
−0.264363 | + | 0.964423i | \(0.585162\pi\) | |||||||
\(644\) | 12.3125 | + | 15.0472i | 0.485180 | + | 0.592943i | ||||
\(645\) | −1.02300 | + | 0.0926247i | −0.0402806 | + | 0.00364709i | ||||
\(646\) | 8.59955 | − | 2.52506i | 0.338345 | − | 0.0993470i | ||||
\(647\) | −1.99374 | + | 27.8761i | −0.0783819 | + | 1.09592i | 0.794265 | + | 0.607571i | \(0.207856\pi\) |
−0.872647 | + | 0.488351i | \(0.837598\pi\) | |||||||
\(648\) | −0.212565 | + | 0.977147i | −0.00835035 | + | 0.0383860i | ||||
\(649\) | −1.58137 | − | 10.9986i | −0.0620740 | − | 0.431734i | ||||
\(650\) | 15.3359 | + | 6.31477i | 0.601523 | + | 0.247686i | ||||
\(651\) | 26.1459 | + | 11.9404i | 1.02474 | + | 0.467983i | ||||
\(652\) | −12.5001 | + | 0.894026i | −0.489542 | + | 0.0350127i | ||||
\(653\) | −19.1084 | − | 25.5259i | −0.747771 | − | 0.998905i | −0.999516 | − | 0.0311110i | \(-0.990095\pi\) |
0.251745 | − | 0.967794i | \(-0.418995\pi\) | |||||||
\(654\) | −7.99293 | − | 17.5021i | −0.312548 | − | 0.684385i | ||||
\(655\) | −4.22859 | − | 0.836520i | −0.165225 | − | 0.0326855i | ||||
\(656\) | 2.59315 | + | 0.761416i | 0.101245 | + | 0.0297283i | ||||
\(657\) | −3.66412 | + | 9.82387i | −0.142951 | + | 0.383266i | ||||
\(658\) | 21.2845 | − | 15.9334i | 0.829756 | − | 0.621148i | ||||
\(659\) | −4.17154 | + | 4.81422i | −0.162500 | + | 0.187535i | −0.831160 | − | 0.556033i | \(-0.812323\pi\) |
0.668660 | + | 0.743568i | \(0.266868\pi\) | |||||||
\(660\) | −1.30678 | − | 2.72404i | −0.0508665 | − | 0.106033i | ||||
\(661\) | −16.6213 | + | 25.8632i | −0.646493 | + | 1.00596i | 0.351080 | + | 0.936345i | \(0.385814\pi\) |
−0.997574 | + | 0.0696180i | \(0.977822\pi\) | |||||||
\(662\) | 0.775282 | − | 1.03566i | 0.0301322 | − | 0.0402519i | ||||
\(663\) | −4.04900 | − | 0.880806i | −0.157250 | − | 0.0342077i | ||||
\(664\) | 4.23603 | + | 4.88864i | 0.164390 | + | 0.189716i | ||||
\(665\) | −25.8953 | + | 59.6611i | −1.00418 | + | 2.31356i | ||||
\(666\) | 7.86970i | 0.304945i | ||||||||
\(667\) | 33.5441 | + | 35.4931i | 1.29883 | + | 1.37430i | ||||
\(668\) | 7.17279 | − | 7.17279i | 0.277523 | − | 0.277523i | ||||
\(669\) | 1.22649 | + | 4.17704i | 0.0474189 | + | 0.161494i | ||||
\(670\) | 18.6228 | + | 17.9319i | 0.719460 | + | 0.692771i | ||||
\(671\) | 12.5099 | − | 8.03961i | 0.482938 | − | 0.310366i | ||||
\(672\) | 3.24545 | + | 2.42951i | 0.125196 | + | 0.0937206i | ||||
\(673\) | 19.2980 | − | 4.19803i | 0.743884 | − | 0.161822i | 0.175378 | − | 0.984501i | \(-0.443885\pi\) |
0.568506 | + | 0.822679i | \(0.307522\pi\) | |||||||
\(674\) | 6.38253 | − | 13.9758i | 0.245846 | − | 0.538328i | ||||
\(675\) | −4.84209 | + | 1.24667i | −0.186372 | + | 0.0479842i | ||||
\(676\) | 0.284257 | − | 1.97705i | 0.0109329 | − | 0.0760403i | ||||
\(677\) | 17.2963 | + | 6.45120i | 0.664752 | + | 0.247940i | 0.659112 | − | 0.752044i | \(-0.270932\pi\) |
0.00563959 | + | 0.999984i | \(0.498205\pi\) | |||||||
\(678\) | 8.26880 | + | 15.1432i | 0.317561 | + | 0.581570i | ||||
\(679\) | −2.93497 | + | 9.99558i | −0.112634 | + | 0.383595i | ||||
\(680\) | 2.42593 | − | 1.38479i | 0.0930301 | − | 0.0531044i | ||||
\(681\) | −18.7689 | − | 2.69857i | −0.719228 | − | 0.103409i | ||||
\(682\) | 0.683407 | + | 9.55527i | 0.0261690 | + | 0.365890i | ||||
\(683\) | 0.590773 | + | 1.58392i | 0.0226053 | + | 0.0606071i | 0.947762 | − | 0.318978i | \(-0.103340\pi\) |
−0.925157 | + | 0.379585i | \(0.876067\pi\) | |||||||
\(684\) | 6.03561 | + | 3.87885i | 0.230777 | + | 0.148312i | ||||
\(685\) | −1.76501 | − | 1.08774i | −0.0674377 | − | 0.0415604i | ||||
\(686\) | 5.33811 | + | 8.30626i | 0.203810 | + | 0.317135i | ||||
\(687\) | 23.9733 | + | 1.71460i | 0.914637 | + | 0.0654161i | ||||
\(688\) | 0.403180 | + | 0.220153i | 0.0153711 | + | 0.00839326i | ||||
\(689\) | 0.724202 | 0.0275899 | ||||||||
\(690\) | 8.96697 | + | 5.88162i | 0.341367 | + | 0.223909i | ||||
\(691\) | 0.202453 | 0.00770168 | 0.00385084 | − | 0.999993i | \(-0.498774\pi\) | ||||
0.00385084 | + | 0.999993i | \(0.498774\pi\) | |||||||
\(692\) | −0.940615 | − | 0.513615i | −0.0357568 | − | 0.0195247i | ||||
\(693\) | −5.46371 | − | 0.390772i | −0.207549 | − | 0.0148442i | ||||
\(694\) | −11.2546 | − | 17.5125i | −0.427219 | − | 0.664765i | ||||
\(695\) | 33.8493 | − | 8.03620i | 1.28398 | − | 0.304831i | ||||
\(696\) | 8.56651 | + | 5.50536i | 0.324713 | + | 0.208680i | ||||
\(697\) | −1.17985 | − | 3.16331i | −0.0446901 | − | 0.119819i | ||||
\(698\) | −1.37133 | − | 19.1737i | −0.0519056 | − | 0.725735i | ||||
\(699\) | −14.8956 | − | 2.14167i | −0.563405 | − | 0.0810054i | ||||
\(700\) | −3.55732 | + | 19.9558i | −0.134454 | + | 0.754257i | ||||
\(701\) | −4.64070 | + | 15.8048i | −0.175277 | + | 0.596938i | 0.824251 | + | 0.566224i | \(0.191596\pi\) |
−0.999528 | + | 0.0307140i | \(0.990222\pi\) | |||||||
\(702\) | −1.58968 | − | 2.91128i | −0.0599985 | − | 0.109879i | ||||
\(703\) | 52.9016 | + | 19.7313i | 1.99522 | + | 0.744179i | ||||
\(704\) | −0.192289 | + | 1.33740i | −0.00724716 | + | 0.0504051i | ||||
\(705\) | 8.56484 | − | 11.9037i | 0.322571 | − | 0.448318i | ||||
\(706\) | −11.0881 | + | 24.2796i | −0.417307 | + | 0.913775i | ||||
\(707\) | −34.9875 | + | 7.61106i | −1.31584 | + | 0.286243i | ||||
\(708\) | 6.58357 | + | 4.92840i | 0.247426 | + | 0.185221i | ||||
\(709\) | −3.06506 | + | 1.96980i | −0.115111 | + | 0.0739772i | −0.596929 | − | 0.802294i | \(-0.703613\pi\) |
0.481819 | + | 0.876271i | \(0.339976\pi\) | |||||||
\(710\) | 0.155091 | + | 8.20654i | 0.00582046 | + | 0.307986i | ||||
\(711\) | −3.38572 | − | 11.5307i | −0.126974 | − | 0.432435i | ||||
\(712\) | −9.48849 | + | 9.48849i | −0.355596 | + | 0.355596i | ||||
\(713\) | −19.6007 | − | 27.7846i | −0.734051 | − | 1.04054i | ||||
\(714\) | − | 5.06444i | − | 0.189532i | ||||||
\(715\) | 9.19301 | + | 3.99014i | 0.343799 | + | 0.149223i | ||||
\(716\) | 5.53658 | + | 6.38956i | 0.206912 | + | 0.238789i | ||||
\(717\) | −6.23625 | − | 1.35661i | −0.232897 | − | 0.0506636i | ||||
\(718\) | 8.61516 | − | 11.5085i | 0.321515 | − | 0.429494i | ||||
\(719\) | −24.4745 | + | 38.0831i | −0.912745 | + | 1.42026i | −0.00534669 | + | 0.999986i | \(0.501702\pi\) |
−0.907398 | + | 0.420273i | \(0.861934\pi\) | |||||||
\(720\) | 2.10947 | + | 0.741699i | 0.0786155 | + | 0.0276415i | ||||
\(721\) | −39.9070 | + | 46.0551i | −1.48621 | + | 1.71518i | ||||
\(722\) | 25.9968 | − | 19.4610i | 0.967502 | − | 0.724263i | ||||
\(723\) | −5.79357 | + | 15.5332i | −0.215465 | + | 0.577685i | ||||
\(724\) | −2.68418 | − | 0.788148i | −0.0997569 | − | 0.0292913i | ||||
\(725\) | −5.33664 | + | 50.6347i | −0.198198 | + | 1.88052i | ||||
\(726\) | 3.81118 | + | 8.34532i | 0.141446 | + | 0.309724i | ||||
\(727\) | −6.02539 | − | 8.04898i | −0.223469 | − | 0.298520i | 0.674769 | − | 0.738029i | \(-0.264243\pi\) |
−0.898238 | + | 0.439509i | \(0.855152\pi\) | |||||||
\(728\) | −13.4132 | + | 0.959329i | −0.497125 | + | 0.0355551i | ||||
\(729\) | 0.909632 | + | 0.415415i | 0.0336901 | + | 0.0153857i | ||||
\(730\) | 20.7859 | + | 10.8452i | 0.769320 | + | 0.401399i | ||||
\(731\) | −0.0816683 | − | 0.568015i | −0.00302061 | − | 0.0210088i | ||||
\(732\) | −2.33945 | + | 10.7543i | −0.0864686 | + | 0.397490i | ||||
\(733\) | 0.257869 | − | 3.60548i | 0.00952460 | − | 0.133171i | −0.990465 | − | 0.137766i | \(-0.956008\pi\) |
0.999989 | + | 0.00459442i | \(0.00146245\pi\) | |||||||
\(734\) | 2.92011 | − | 0.857423i | 0.107783 | − | 0.0316481i | ||||
\(735\) | 16.2033 | + | 13.5128i | 0.597669 | + | 0.498426i | ||||
\(736\) | −1.86836 | − | 4.41693i | −0.0688687 | − | 0.162810i | ||||
\(737\) | 11.0461 | + | 11.0461i | 0.406890 | + | 0.406890i | ||||
\(738\) | 1.29523 | − | 2.37203i | 0.0476780 | − | 0.0873158i | ||||
\(739\) | −26.8802 | + | 23.2918i | −0.988803 | + | 0.856802i | −0.989694 | − | 0.143197i | \(-0.954262\pi\) |
0.000891472 | 1.00000i | \(0.499716\pi\) | ||||||||
\(740\) | 17.4623 | + | 2.17478i | 0.641926 | + | 0.0799464i | ||||
\(741\) | −23.5559 | + | 3.38682i | −0.865347 | + | 0.124418i | ||||
\(742\) | 0.188146 | + | 0.864893i | 0.00690706 | + | 0.0317512i | ||||
\(743\) | −26.9358 | + | 10.0465i | −0.988177 | + | 0.368571i | −0.791013 | − | 0.611799i | \(-0.790446\pi\) |
−0.197164 | + | 0.980370i | \(0.563173\pi\) | |||||||
\(744\) | −5.35827 | − | 4.64297i | −0.196444 | − | 0.170219i | ||||
\(745\) | −0.0540706 | + | 1.02890i | −0.00198099 | + | 0.0376960i | ||||
\(746\) | 1.08489 | − | 0.495453i | 0.0397207 | − | 0.0181398i | ||||
\(747\) | 5.67736 | − | 3.10007i | 0.207724 | − | 0.113426i | ||||
\(748\) | 1.48143 | − | 0.808919i | 0.0541663 | − | 0.0295770i | ||||
\(749\) | −14.3036 | + | 6.53222i | −0.522641 | + | 0.238682i | ||||
\(750\) | 1.42816 | + | 11.0887i | 0.0521490 | + | 0.404904i | ||||
\(751\) | 12.5347 | + | 10.8613i | 0.457396 | + | 0.396336i | 0.852855 | − | 0.522148i | \(-0.174869\pi\) |
−0.395459 | + | 0.918484i | \(0.629414\pi\) | |||||||
\(752\) | −6.14476 | + | 2.29188i | −0.224076 | + | 0.0835761i | ||||
\(753\) | −3.57376 | − | 16.4283i | −0.130235 | − | 0.598681i | ||||
\(754\) | −33.4335 | + | 4.80701i | −1.21758 | + | 0.175061i | ||||
\(755\) | 7.02707 | − | 5.47060i | 0.255741 | − | 0.199095i | ||||
\(756\) | 3.06386 | − | 2.65485i | 0.111432 | − | 0.0965560i | ||||
\(757\) | −3.05283 | + | 5.59084i | −0.110957 | + | 0.203202i | −0.927257 | − | 0.374426i | \(-0.877840\pi\) |
0.816300 | + | 0.577628i | \(0.196022\pi\) | |||||||
\(758\) | −2.16417 | − | 2.16417i | −0.0786064 | − | 0.0786064i | ||||
\(759\) | 5.35020 | + | 3.65574i | 0.194200 | + | 0.132695i | ||||
\(760\) | 10.2748 | − | 12.3207i | 0.372707 | − | 0.446917i | ||||
\(761\) | 27.4137 | − | 8.04939i | 0.993746 | − | 0.291790i | 0.255859 | − | 0.966714i | \(-0.417642\pi\) |
0.737887 | + | 0.674924i | \(0.235824\pi\) | |||||||
\(762\) | 0.727110 | − | 10.1663i | 0.0263404 | − | 0.368287i | ||||
\(763\) | −16.5809 | + | 76.2211i | −0.600268 | + | 2.75939i | ||||
\(764\) | −1.45988 | − | 10.1537i | −0.0528164 | − | 0.367346i | ||||
\(765\) | −0.837479 | − | 2.66485i | −0.0302791 | − | 0.0963478i | ||||
\(766\) | −12.7785 | − | 5.83573i | −0.461705 | − | 0.210854i | ||||
\(767\) | −27.2093 | + | 1.94605i | −0.982472 | + | 0.0702678i | ||||
\(768\) | −0.599278 | − | 0.800541i | −0.0216246 | − | 0.0288870i | ||||
\(769\) | 11.0410 | + | 24.1765i | 0.398149 | + | 0.871826i | 0.997455 | + | 0.0713050i | \(0.0227164\pi\) |
−0.599305 | + | 0.800521i | \(0.704556\pi\) | |||||||
\(770\) | −2.37698 | + | 12.0156i | −0.0856605 | + | 0.433011i | ||||
\(771\) | 18.2345 | + | 5.35414i | 0.656701 | + | 0.192825i | ||||
\(772\) | −2.71326 | + | 7.27454i | −0.0976525 | + | 0.261816i | ||||
\(773\) | −32.3954 | + | 24.2509i | −1.16518 | + | 0.872243i | −0.993603 | − | 0.112927i | \(-0.963977\pi\) |
−0.171577 | + | 0.985171i | \(0.554886\pi\) | |||||||
\(774\) | 0.300824 | − | 0.347169i | 0.0108129 | − | 0.0124787i | ||||
\(775\) | 8.69513 | − | 34.3671i | 0.312338 | − | 1.23450i | ||||
\(776\) | 1.38926 | − | 2.16173i | 0.0498715 | − | 0.0776016i | ||||
\(777\) | 19.1195 | − | 25.5407i | 0.685910 | − | 0.916268i | ||||
\(778\) | 17.4990 | + | 3.80668i | 0.627371 | + | 0.136476i | ||||
\(779\) | −12.6978 | − | 14.6540i | −0.454946 | − | 0.525035i | ||||
\(780\) | −6.89922 | + | 2.72285i | −0.247032 | + | 0.0974937i | ||||
\(781\) | 4.95972i | 0.177473i | ||||||||
\(782\) | −3.01845 | + | 5.17511i | −0.107940 | + | 0.185062i | ||||
\(783\) | 7.20049 | − | 7.20049i | 0.257324 | − | 0.257324i | ||||
\(784\) | −2.65829 | − | 9.05329i | −0.0949388 | − | 0.323332i | ||||
\(785\) | 35.1942 | − | 0.665115i | 1.25613 | − | 0.0237390i | ||||
\(786\) | 1.62171 | − | 1.04221i | 0.0578445 | − | 0.0371744i | ||||
\(787\) | −12.3347 | − | 9.23361i | −0.439683 | − | 0.329143i | 0.356396 | − | 0.934335i | \(-0.384005\pi\) |
−0.796079 | + | 0.605192i | \(0.793096\pi\) | |||||||
\(788\) | −4.99434 | + | 1.08645i | −0.177916 | + | 0.0387032i | ||||
\(789\) | 6.26705 | − | 13.7229i | 0.223113 | − | 0.488549i | ||||
\(790\) | −26.5214 | + | 4.32617i | −0.943589 | + | 0.153918i | ||||
\(791\) | 9.95458 | − | 69.2356i | 0.353944 | − | 2.46173i | ||||
\(792\) | 1.26596 | + | 0.472179i | 0.0449840 | + | 0.0167782i | ||||
\(793\) | −17.4957 | − | 32.0410i | −0.621290 | − | 1.13781i | ||||
\(794\) | 3.77966 | − | 12.8723i | 0.134135 | − | 0.456822i | ||||
\(795\) | 0.242023 | + | 0.423984i | 0.00858367 | + | 0.0150372i | ||||
\(796\) | 22.6084 | + | 3.25060i | 0.801333 | + | 0.115214i | ||||
\(797\) | 0.941849 | + | 13.1688i | 0.0333620 | + | 0.466462i | 0.986482 | + | 0.163869i | \(0.0523976\pi\) |
−0.953120 | + | 0.302593i | \(0.902148\pi\) | |||||||
\(798\) | −10.1646 | − | 27.2522i | −0.359821 | − | 0.964718i | ||||
\(799\) | 6.89216 | + | 4.42932i | 0.243827 | + | 0.156698i | ||||
\(800\) | 2.22873 | − | 4.47580i | 0.0787973 | − | 0.158243i | ||||
\(801\) | 7.25473 | + | 11.2886i | 0.256333 | + | 0.398862i | ||||
\(802\) | 14.6215 | + | 1.04575i | 0.516303 | + | 0.0369267i | ||||
\(803\) | 12.4339 | + | 6.78941i | 0.438782 | + | 0.239593i | ||||
\(804\) | −11.5617 | −0.407749 | ||||||||
\(805\) | −14.8124 | − | 40.8739i | −0.522068 | − | 1.44062i | ||||
\(806\) | 23.5177 | 0.828376 | ||||||||
\(807\) | 13.2895 | + | 7.25663i | 0.467814 | + | 0.255446i | ||||
\(808\) | 8.80954 | + | 0.630071i | 0.309919 | + | 0.0221658i | ||||
\(809\) | −11.9077 | − | 18.5287i | −0.418651 | − | 0.651434i | 0.566313 | − | 0.824190i | \(-0.308369\pi\) |
−0.984965 | + | 0.172756i | \(0.944733\pi\) | |||||||
\(810\) | 1.17315 | − | 1.90361i | 0.0412203 | − | 0.0668859i | ||||
\(811\) | −6.66745 | − | 4.28491i | −0.234126 | − | 0.150464i | 0.418318 | − | 0.908301i | \(-0.362620\pi\) |
−0.652444 | + | 0.757837i | \(0.726256\pi\) | |||||||
\(812\) | −14.4268 | − | 38.6798i | −0.506283 | − | 1.35740i | ||||
\(813\) | −0.0657783 | − | 0.919701i | −0.00230695 | − | 0.0322553i | ||||
\(814\) | 10.5249 | + | 1.51326i | 0.368899 | + | 0.0530396i | ||||
\(815\) | 27.0318 | + | 7.38540i | 0.946881 | + | 0.258699i | ||||
\(816\) | −0.351947 | + | 1.19862i | −0.0123206 | + | 0.0419601i | ||||
\(817\) | −1.57950 | − | 2.89263i | −0.0552596 | − | 0.101200i | ||||
\(818\) | 11.9532 | + | 4.45831i | 0.417934 | + | 0.155881i | ||||
\(819\) | −1.91377 | + | 13.3106i | −0.0668725 | + | 0.465109i | ||||
\(820\) | −4.90543 | − | 3.52952i | −0.171305 | − | 0.123256i | ||||
\(821\) | −20.2741 | + | 44.3941i | −0.707571 | + | 1.54936i | 0.122972 | + | 0.992410i | \(0.460757\pi\) |
−0.830543 | + | 0.556954i | \(0.811970\pi\) | |||||||
\(822\) | 0.906005 | − | 0.197089i | 0.0316006 | − | 0.00687428i | ||||
\(823\) | −22.3772 | − | 16.7513i | −0.780019 | − | 0.583915i | 0.133340 | − | 0.991070i | \(-0.457430\pi\) |
−0.913359 | + | 0.407155i | \(0.866521\pi\) | |||||||
\(824\) | 12.6455 | − | 8.12676i | 0.440526 | − | 0.283109i | ||||
\(825\) | 0.736212 | + | 6.71553i | 0.0256316 | + | 0.233805i | ||||
\(826\) | −9.39304 | − | 31.9898i | −0.326826 | − | 1.11307i | ||||
\(827\) | 23.1897 | − | 23.1897i | 0.806386 | − | 0.806386i | −0.177699 | − | 0.984085i | \(-0.556865\pi\) |
0.984085 | + | 0.177699i | \(0.0568652\pi\) | |||||||
\(828\) | −4.71313 | + | 0.886777i | −0.163793 | + | 0.0308176i | ||||
\(829\) | 1.53568i | 0.0533362i | 0.999644 | + | 0.0266681i | \(0.00848973\pi\) | ||||
−0.999644 | + | 0.0266681i | \(0.991510\pi\) | |||||||
\(830\) | −5.30990 | − | 13.4543i | −0.184309 | − | 0.467007i | ||||
\(831\) | 7.65791 | + | 8.83770i | 0.265650 | + | 0.306577i | ||||
\(832\) | 3.24122 | + | 0.705083i | 0.112369 | + | 0.0244444i | ||||
\(833\) | −7.06371 | + | 9.43601i | −0.244743 | + | 0.326938i | ||||
\(834\) | −8.41164 | + | 13.0888i | −0.291271 | + | 0.453227i | ||||
\(835\) | −20.4509 | + | 9.81076i | −0.707731 | + | 0.339515i | ||||
\(836\) | 6.34815 | − | 7.32616i | 0.219556 | − | 0.253381i | ||||
\(837\) | −5.67584 | + | 4.24888i | −0.196186 | + | 0.146863i | ||||
\(838\) | −6.88847 | + | 18.4687i | −0.237958 | + | 0.637991i | ||||
\(839\) | 8.41226 | + | 2.47006i | 0.290423 | + | 0.0852760i | 0.423699 | − | 0.905803i | \(-0.360731\pi\) |
−0.133276 | + | 0.991079i | \(0.542550\pi\) | |||||||
\(840\) | −5.04423 | − | 7.53215i | −0.174042 | − | 0.259884i | ||||
\(841\) | −31.0290 | − | 67.9441i | −1.06997 | − | 2.34290i | ||||
\(842\) | 9.79207 | + | 13.0807i | 0.337457 | + | 0.450790i | ||||
\(843\) | 24.5098 | − | 1.75297i | 0.844162 | − | 0.0603757i | ||||
\(844\) | −17.1679 | − | 7.84031i | −0.590943 | − | 0.269875i | ||||
\(845\) | −2.06601 | + | 3.95970i | −0.0710728 | + | 0.136218i | ||||
\(846\) | 0.933337 | + | 6.49150i | 0.0320888 | + | 0.223182i | ||||
\(847\) | 7.90607 | − | 36.3436i | 0.271656 | − | 1.24878i | ||||
\(848\) | 0.0155754 | − | 0.217773i | 0.000534862 | − | 0.00747834i | ||||
\(849\) | −9.61873 | + | 2.82431i | −0.330114 | + | 0.0969302i | ||||
\(850\) | −6.14453 | + | 1.12188i | −0.210756 | + | 0.0384801i | ||||
\(851\) | −34.7599 | + | 14.7034i | −1.19155 | + | 0.504027i | ||||
\(852\) | −2.59560 | − | 2.59560i | −0.0889237 | − | 0.0889237i | ||||
\(853\) | −5.98895 | + | 10.9679i | −0.205058 | + | 0.375535i | −0.959887 | − | 0.280386i | \(-0.909538\pi\) |
0.754830 | + | 0.655921i | \(0.227719\pi\) | |||||||
\(854\) | 33.7203 | − | 29.2188i | 1.15388 | − | 0.999846i | ||||
\(855\) | −9.85502 | − | 12.6589i | −0.337035 | − | 0.432927i | ||||
\(856\) | 3.83923 | − | 0.551998i | 0.131222 | − | 0.0188669i | ||||
\(857\) | −9.08618 | − | 41.7685i | −0.310378 | − | 1.42678i | −0.822937 | − | 0.568133i | \(-0.807666\pi\) |
0.512559 | − | 0.858652i | \(-0.328698\pi\) | |||||||
\(858\) | −4.19922 | + | 1.56623i | −0.143359 | + | 0.0534701i | ||||
\(859\) | −24.7238 | − | 21.4233i | −0.843566 | − | 0.730954i | 0.121604 | − | 0.992579i | \(-0.461196\pi\) |
−0.965170 | + | 0.261625i | \(0.915742\pi\) | |||||||
\(860\) | −0.687211 | − | 0.763446i | −0.0234337 | − | 0.0260333i | ||||
\(861\) | −9.96649 | + | 4.55154i | −0.339657 | + | 0.155116i | ||||
\(862\) | −35.2576 | + | 19.2521i | −1.20088 | + | 0.655729i | ||||
\(863\) | −19.1917 | + | 10.4795i | −0.653293 | + | 0.356725i | −0.771468 | − | 0.636268i | \(-0.780477\pi\) |
0.118176 | + | 0.992993i | \(0.462295\pi\) | |||||||
\(864\) | −0.909632 | + | 0.415415i | −0.0309463 | + | 0.0141327i | ||||
\(865\) | 1.60326 | + | 1.78111i | 0.0545123 | + | 0.0605596i | ||||
\(866\) | 11.8282 | + | 10.2492i | 0.401938 | + | 0.348281i | ||||
\(867\) | −14.4660 | + | 5.39553i | −0.491291 | + | 0.183242i | ||||
\(868\) | 6.10985 | + | 28.0865i | 0.207382 | + | 0.953319i | ||||
\(869\) | −16.0722 | + | 2.31083i | −0.545212 | + | 0.0783896i | ||||
\(870\) | −13.9875 | − | 17.9672i | −0.474221 | − | 0.609145i | ||||
\(871\) | 28.9832 | − | 25.1141i | 0.982060 | − | 0.850960i | ||||
\(872\) | 9.22115 | − | 16.8873i | 0.312268 | − | 0.571875i | ||||
\(873\) | −1.81702 | − | 1.81702i | −0.0614968 | − | 0.0614968i | ||||
\(874\) | −5.85591 | + | 33.9059i | −0.198079 | + | 1.14689i | ||||
\(875\) | 22.3053 | − | 39.4577i | 0.754055 | − | 1.33391i | ||||
\(876\) | −10.0602 | + | 2.95395i | −0.339904 | + | 0.0998048i | ||||
\(877\) | 3.01654 | − | 42.1768i | 0.101861 | − | 1.42421i | −0.647509 | − | 0.762058i | \(-0.724189\pi\) |
0.749370 | − | 0.662151i | \(-0.230356\pi\) | |||||||
\(878\) | −1.73370 | + | 7.96969i | −0.0585096 | + | 0.268964i | ||||
\(879\) | 2.34229 | + | 16.2910i | 0.0790036 | + | 0.549482i | ||||
\(880\) | 1.39758 | − | 2.67859i | 0.0471123 | − | 0.0902952i | ||||
\(881\) | −29.6298 | − | 13.5315i | −0.998253 | − | 0.455887i | −0.151835 | − | 0.988406i | \(-0.548518\pi\) |
−0.846418 | + | 0.532519i | \(0.821245\pi\) | |||||||
\(882\) | −9.41145 | + | 0.673121i | −0.316900 | + | 0.0226651i | ||||
\(883\) | −6.92645 | − | 9.25265i | −0.233093 | − | 0.311376i | 0.668710 | − | 0.743524i | \(-0.266847\pi\) |
−0.901803 | + | 0.432147i | \(0.857756\pi\) | |||||||
\(884\) | −1.72135 | − | 3.76924i | −0.0578954 | − | 0.126773i | ||||
\(885\) | −10.2325 | − | 15.2794i | −0.343961 | − | 0.513610i | ||||
\(886\) | −5.29662 | − | 1.55523i | −0.177944 | − | 0.0522489i | ||||
\(887\) | 6.06411 | − | 16.2585i | 0.203613 | − | 0.545908i | −0.794503 | − | 0.607260i | \(-0.792269\pi\) |
0.998116 | + | 0.0613525i | \(0.0195414\pi\) | |||||||
\(888\) | −6.30002 | + | 4.71614i | −0.211415 | + | 0.158263i | ||||
\(889\) | −27.0590 | + | 31.2278i | −0.907531 | + | 1.04735i | ||||
\(890\) | 27.0533 | − | 12.9781i | 0.906830 | − | 0.435028i | ||||
\(891\) | 0.730488 | − | 1.13666i | 0.0244723 | − | 0.0380796i | ||||
\(892\) | −2.60889 | + | 3.48507i | −0.0873520 | + | 0.116689i | ||||
\(893\) | 45.9772 | + | 10.0017i | 1.53857 | + | 0.334695i | ||||
\(894\) | −0.301742 | − | 0.348229i | −0.0100918 | − | 0.0116465i | ||||
\(895\) | −6.94015 | − | 17.5851i | −0.231984 | − | 0.587805i | ||||
\(896\) | 4.05407i | 0.135437i | ||||||||
\(897\) | 9.88881 | − | 12.4608i | 0.330178 | − | 0.416054i | ||||
\(898\) | −5.38371 | + | 5.38371i | −0.179657 | + | 0.179657i | ||||
\(899\) | 20.3405 | + | 69.2732i | 0.678392 | + | 2.31039i | ||||
\(900\) | −3.89976 | − | 3.12919i | −0.129992 | − | 0.104306i | ||||
\(901\) | −0.229445 | + | 0.147455i | −0.00764391 | + | 0.00491244i | ||||
\(902\) | −2.92330 | − | 2.18835i | −0.0973352 | − | 0.0728642i | ||||
\(903\) | −1.81976 | + | 0.395865i | −0.0605579 | + | 0.0131736i | ||||
\(904\) | −7.16743 | + | 15.6945i | −0.238385 | + | 0.521991i | ||||
\(905\) | 5.07765 | + | 3.65344i | 0.168787 | + | 0.121444i | ||||
\(906\) | −0.566789 | + | 3.94211i | −0.0188303 | + | 0.130968i | ||||
\(907\) | 2.87206 | + | 1.07122i | 0.0953653 | + | 0.0355694i | 0.396694 | − | 0.917951i | \(-0.370157\pi\) |
−0.301329 | + | 0.953520i | \(0.597430\pi\) | |||||||
\(908\) | −9.08750 | − | 16.6425i | −0.301579 | − | 0.552301i | ||||
\(909\) | 2.48828 | − | 8.47429i | 0.0825309 | − | 0.281074i | ||||
\(910\) | 29.0063 | + | 7.92486i | 0.961549 | + | 0.262707i | ||||
\(911\) | 29.1351 | + | 4.18900i | 0.965290 | + | 0.138788i | 0.606895 | − | 0.794782i | \(-0.292415\pi\) |
0.358395 | + | 0.933570i | \(0.383324\pi\) | |||||||
\(912\) | 0.511826 | + | 7.15626i | 0.0169483 | + | 0.236968i | ||||
\(913\) | −3.05434 | − | 8.18900i | −0.101084 | − | 0.271016i | ||||
\(914\) | 15.8813 | + | 10.2063i | 0.525308 | + | 0.337595i | ||||
\(915\) | 12.9115 | − | 20.9507i | 0.426840 | − | 0.692609i | ||||
\(916\) | 12.9940 | + | 20.2191i | 0.429335 | + | 0.668058i | ||||
\(917\) | −7.79524 | − | 0.557527i | −0.257422 | − | 0.0184112i | ||||
\(918\) | 1.09642 | + | 0.598689i | 0.0361871 | + | 0.0197597i | ||||
\(919\) | 37.0347 | 1.22166 | 0.610832 | − | 0.791760i | \(-0.290835\pi\) | ||||
0.610832 | + | 0.791760i | \(0.290835\pi\) | |||||||
\(920\) | 0.665226 | + | 10.7032i | 0.0219318 | + | 0.352872i | ||||
\(921\) | 18.6212 | 0.613589 | ||||||||
\(922\) | 5.70158 | + | 3.11330i | 0.187771 | + | 0.102531i | ||||
\(923\) | 12.1449 | + | 0.868618i | 0.399753 | + | 0.0285909i | ||||
\(924\) | −2.96145 | − | 4.60811i | −0.0974246 | − | 0.151596i | ||||
\(925\) | −35.2232 | − | 17.5394i | −1.15813 | − | 0.576692i | ||||
\(926\) | −28.6768 | − | 18.4295i | −0.942379 | − | 0.605630i | ||||
\(927\) | −5.25305 | − | 14.0840i | −0.172533 | − | 0.462578i | ||||
\(928\) | 0.726449 | + | 10.1571i | 0.0238469 | + | 0.333423i | ||||
\(929\) | 9.98813 | + | 1.43608i | 0.327700 | + | 0.0471161i | 0.304201 | − | 0.952608i | \(-0.401610\pi\) |
0.0234985 | + | 0.999724i | \(0.492519\pi\) | |||||||
\(930\) | 7.85945 | + | 13.7684i | 0.257721 | + | 0.451485i | ||||
\(931\) | −19.0720 | + | 64.9532i | −0.625059 | + | 2.12876i | ||||
\(932\) | −7.21213 | − | 13.2080i | −0.236241 | − | 0.432644i | ||||
\(933\) | 21.8461 | + | 8.14816i | 0.715208 | + | 0.266759i | ||||
\(934\) | 5.24074 | − | 36.4501i | 0.171482 | − | 1.19268i | ||||
\(935\) | −3.72500 | + | 0.607623i | −0.121821 | + | 0.0198714i | ||||
\(936\) | 1.37794 | − | 3.01727i | 0.0450394 | − | 0.0986225i | ||||
\(937\) | −5.51029 | + | 1.19869i | −0.180013 | + | 0.0391595i | −0.301668 | − | 0.953413i | \(-0.597544\pi\) |
0.121655 | + | 0.992572i | \(0.461180\pi\) | |||||||
\(938\) | 37.5229 | + | 28.0893i | 1.22517 | + | 0.917147i | ||||
\(939\) | 4.47772 | − | 2.87766i | 0.146125 | − | 0.0939087i | ||||
\(940\) | 14.6621 | − | 0.277091i | 0.478225 | − | 0.00903771i | ||||
\(941\) | 1.89431 | + | 6.45143i | 0.0617527 | + | 0.210310i | 0.984590 | − | 0.174880i | \(-0.0559538\pi\) |
−0.922837 | + | 0.385191i | \(0.874136\pi\) | |||||||
\(942\) | −11.1314 | + | 11.1314i | −0.362679 | + | 0.362679i | ||||
\(943\) | 12.8970 | + | 1.28912i | 0.419986 | + | 0.0419794i | ||||
\(944\) | 8.22390i | 0.267665i | ||||||||
\(945\) | −8.43224 | + | 3.32788i | −0.274301 | + | 0.108256i | ||||
\(946\) | −0.406459 | − | 0.469079i | −0.0132151 | − | 0.0152511i | ||||
\(947\) | −16.5348 | − | 3.59693i | −0.537310 | − | 0.116885i | −0.0642815 | − | 0.997932i | \(-0.520476\pi\) |
−0.473028 | + | 0.881047i | \(0.656839\pi\) | |||||||
\(948\) | 7.20182 | − | 9.62050i | 0.233904 | − | 0.312459i | ||||
\(949\) | 18.8028 | − | 29.2578i | 0.610366 | − | 0.949748i | ||||
\(950\) | −30.8127 | + | 18.3693i | −0.999695 | + | 0.595978i | ||||
\(951\) | −4.28040 | + | 4.93985i | −0.138802 | + | 0.160186i | ||||
\(952\) | 4.05429 | − | 3.03500i | 0.131400 | − | 0.0983650i | ||||
\(953\) | 14.3163 | − | 38.3834i | 0.463749 | − | 1.24336i | −0.469117 | − | 0.883136i | \(-0.655428\pi\) |
0.932866 | − | 0.360223i | \(-0.117299\pi\) | |||||||
\(954\) | −0.209485 | − | 0.0615104i | −0.00678233 | − | 0.00199147i | ||||
\(955\) | −4.45139 | + | 22.5017i | −0.144044 | + | 0.728137i | ||||
\(956\) | −2.65122 | − | 5.80536i | −0.0857466 | − | 0.187759i | ||||
\(957\) | −8.24535 | − | 11.0145i | −0.266534 | − | 0.356048i | ||||
\(958\) | −1.09644 | + | 0.0784186i | −0.0354242 | + | 0.00253359i | ||||
\(959\) | −3.41923 | − | 1.56151i | −0.110413 | − | 0.0504237i | ||||
\(960\) | 0.670400 | + | 2.13321i | 0.0216371 | + | 0.0688489i | ||||
\(961\) | −2.74216 | − | 19.0721i | −0.0884566 | − | 0.615229i | ||||
\(962\) | 5.54879 | − | 25.5074i | 0.178900 | − | 0.822391i | ||||
\(963\) | 0.276704 | − | 3.86882i | 0.00891666 | − | 0.124671i | ||||
\(964\) | −15.9069 | + | 4.67069i | −0.512327 | + | 0.150433i | ||||
\(965\) | 11.1191 | − | 13.3330i | 0.357936 | − | 0.429205i | ||||
\(966\) | 17.4507 | + | 8.57264i | 0.561467 | + | 0.275820i | ||||
\(967\) | −27.5613 | − | 27.5613i | −0.886313 | − | 0.886313i | 0.107854 | − | 0.994167i | \(-0.465602\pi\) |
−0.994167 | + | 0.107854i | \(0.965602\pi\) | |||||||
\(968\) | −4.39682 | + | 8.05217i | −0.141319 | + | 0.258806i | ||||
\(969\) | 6.77348 | − | 5.86925i | 0.217596 | − | 0.188548i | ||||
\(970\) | −4.53396 | + | 3.52970i | −0.145577 | + | 0.113332i | ||||
\(971\) | −18.1285 | + | 2.60649i | −0.581772 | + | 0.0836462i | −0.426917 | − | 0.904291i | \(-0.640400\pi\) |
−0.154855 | + | 0.987937i | \(0.549491\pi\) | |||||||
\(972\) | 0.212565 | + | 0.977147i | 0.00681803 | + | 0.0313420i | ||||
\(973\) | 59.0989 | − | 22.0427i | 1.89462 | − | 0.706658i | ||||
\(974\) | −21.9389 | − | 19.0102i | −0.702968 | − | 0.609125i | ||||
\(975\) | 16.5733 | − | 0.626642i | 0.530769 | − | 0.0200686i | ||||
\(976\) | −10.0112 | + | 4.57197i | −0.320452 | + | 0.146345i | ||||
\(977\) | 13.3174 | − | 7.27186i | 0.426062 | − | 0.232647i | −0.251887 | − | 0.967757i | \(-0.581051\pi\) |
0.677948 | + | 0.735109i | \(0.262869\pi\) | |||||||
\(978\) | −10.9991 | + | 6.00597i | −0.351713 | + | 0.192050i | ||||
\(979\) | 16.4923 | − | 7.53180i | 0.527097 | − | 0.240717i | ||||
\(980\) | −1.10723 | + | 21.0693i | −0.0353693 | + | 0.673035i | ||||
\(981\) | −14.5413 | − | 12.6001i | −0.464266 | − | 0.402289i | ||||
\(982\) | −11.2269 | + | 4.18744i | −0.358266 | + | 0.133626i | ||||
\(983\) | −5.96067 | − | 27.4008i | −0.190116 | − | 0.873949i | −0.969054 | − | 0.246848i | \(-0.920605\pi\) |
0.778938 | − | 0.627101i | \(-0.215759\pi\) | |||||||
\(984\) | 2.67511 | − | 0.384623i | 0.0852795 | − | 0.0122613i | ||||
\(985\) | 11.3412 | + | 1.41245i | 0.361362 | + | 0.0450045i | ||||
\(986\) | 9.61379 | − | 8.33040i | 0.306165 | − | 0.265294i | ||||
\(987\) | 12.7421 | − | 23.3354i | 0.405586 | − | 0.742774i | ||||
\(988\) | −16.8278 | − | 16.8278i | −0.535364 | − | 0.535364i | ||||
\(989\) | 2.09547 | + | 0.680080i | 0.0666320 | + | 0.0216253i | ||||
\(990\) | −2.32030 | − | 1.93501i | −0.0737439 | − | 0.0614988i | ||||
\(991\) | 39.3857 | − | 11.5647i | 1.25113 | − | 0.367364i | 0.411943 | − | 0.911210i | \(-0.364850\pi\) |
0.839185 | + | 0.543845i | \(0.183032\pi\) | |||||||
\(992\) | 0.505795 | − | 7.07194i | 0.0160590 | − | 0.224534i | ||||
\(993\) | 0.274994 | − | 1.26413i | 0.00872669 | − | 0.0401159i | ||||
\(994\) | 2.11784 | + | 14.7299i | 0.0671740 | + | 0.467205i | ||||
\(995\) | −45.2809 | − | 23.6257i | −1.43550 | − | 0.748984i | ||||
\(996\) | 5.88405 | + | 2.68715i | 0.186443 | + | 0.0851457i | ||||
\(997\) | −5.50765 | + | 0.393915i | −0.174429 | + | 0.0124754i | −0.158281 | − | 0.987394i | \(-0.550595\pi\) |
−0.0161486 | + | 0.999870i | \(0.505140\pi\) | |||||||
\(998\) | 18.8875 | + | 25.2308i | 0.597874 | + | 0.798666i | ||||
\(999\) | 3.26919 | + | 7.15853i | 0.103433 | + | 0.226486i |
(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.w.a.37.8 | ✓ | 240 | |
5.3 | odd | 4 | inner | 690.2.w.a.313.8 | yes | 240 | |
23.5 | odd | 22 | inner | 690.2.w.a.97.8 | yes | 240 | |
115.28 | even | 44 | inner | 690.2.w.a.373.8 | yes | 240 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
690.2.w.a.37.8 | ✓ | 240 | 1.1 | even | 1 | trivial | |
690.2.w.a.97.8 | yes | 240 | 23.5 | odd | 22 | inner | |
690.2.w.a.313.8 | yes | 240 | 5.3 | odd | 4 | inner | |
690.2.w.a.373.8 | yes | 240 | 115.28 | even | 44 | inner |