Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [151,2,Mod(5,151)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(151, base_ring=CyclotomicField(150))
chi = DirichletCharacter(H, H._module([112]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("151.5");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 151 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 151.k (of order \(75\), degree \(40\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.20574107052\) |
Analytic rank: | \(0\) |
Dimension: | \(480\) |
Relative dimension: | \(12\) over \(\Q(\zeta_{75})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{75}]$ |
Embedding invariants
Embedding label | 39.2 | ||
Character | \(\chi\) | \(=\) | 151.39 |
Dual form | 151.2.k.a.31.2 |
$q$-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 \(\left(\mathbb{Z}/151\mathbb{Z}\right)^\times\).
\(n\) | \(6\) |
\(\chi(n)\) | \(e\left(\frac{61}{75}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.92072 | + | 0.408262i | −1.35816 | + | 0.288685i | −0.828720 | − | 0.559664i | \(-0.810930\pi\) |
−0.529437 | + | 0.848349i | \(0.677597\pi\) | |||||||
\(3\) | −0.835538 | + | 0.330813i | −0.482398 | + | 0.190995i | −0.596721 | − | 0.802449i | \(-0.703530\pi\) |
0.114323 | + | 0.993444i | \(0.463530\pi\) | |||||||
\(4\) | 1.69541 | − | 0.754845i | 0.847705 | − | 0.377423i | ||||
\(5\) | 1.68742 | + | 0.509462i | 0.754638 | + | 0.227838i | 0.642953 | − | 0.765905i | \(-0.277709\pi\) |
0.111684 | + | 0.993744i | \(0.464376\pi\) | |||||||
\(6\) | 1.46978 | − | 0.976519i | 0.600035 | − | 0.398662i | ||||
\(7\) | −0.0413232 | − | 1.97275i | −0.0156187 | − | 0.745630i | −0.935479 | − | 0.353383i | \(-0.885031\pi\) |
0.919860 | − | 0.392247i | \(-0.128302\pi\) | |||||||
\(8\) | 0.228987 | − | 0.166369i | 0.0809591 | − | 0.0588203i | ||||
\(9\) | −1.59822 | + | 1.50083i | −0.532740 | + | 0.500276i | ||||
\(10\) | −3.44906 | − | 0.289626i | −1.09069 | − | 0.0915878i | ||||
\(11\) | 0.750541 | + | 5.08265i | 0.226297 | + | 1.53248i | 0.738878 | + | 0.673839i | \(0.235356\pi\) |
−0.512582 | + | 0.858638i | \(0.671311\pi\) | |||||||
\(12\) | −1.16687 | + | 1.19156i | −0.336845 | + | 0.343975i | ||||
\(13\) | 1.39184 | + | 2.66235i | 0.386027 | + | 0.738402i | 0.998648 | − | 0.0519749i | \(-0.0165516\pi\) |
−0.612621 | + | 0.790377i | \(0.709885\pi\) | |||||||
\(14\) | 0.884771 | + | 3.77224i | 0.236465 | + | 1.00817i | ||||
\(15\) | −1.57844 | + | 0.132545i | −0.407552 | + | 0.0342231i | ||||
\(16\) | −2.85552 | + | 3.17138i | −0.713880 | + | 0.792844i | ||||
\(17\) | 4.64631 | + | 2.81390i | 1.12689 | + | 0.682472i | 0.953204 | − | 0.302329i | \(-0.0977640\pi\) |
0.173691 | + | 0.984800i | \(0.444431\pi\) | |||||||
\(18\) | 2.45701 | − | 3.53517i | 0.579122 | − | 0.833247i | ||||
\(19\) | −1.04580 | − | 0.759819i | −0.239923 | − | 0.174314i | 0.461326 | − | 0.887231i | \(-0.347374\pi\) |
−0.701249 | + | 0.712916i | \(0.747374\pi\) | |||||||
\(20\) | 3.24544 | − | 0.409994i | 0.725701 | − | 0.0916774i | ||||
\(21\) | 0.687139 | + | 1.63464i | 0.149946 | + | 0.356707i | ||||
\(22\) | −3.51664 | − | 9.45595i | −0.749749 | − | 2.01602i | ||||
\(23\) | −0.537816 | + | 5.11698i | −0.112142 | + | 1.06696i | 0.783257 | + | 0.621699i | \(0.213557\pi\) |
−0.895399 | + | 0.445265i | \(0.853110\pi\) | |||||||
\(24\) | −0.136290 | + | 0.214759i | −0.0278202 | + | 0.0438376i | ||||
\(25\) | −1.57677 | − | 1.04760i | −0.315354 | − | 0.209521i | ||||
\(26\) | −3.76028 | − | 4.54539i | −0.737451 | − | 0.891425i | ||||
\(27\) | 1.98675 | − | 4.22206i | 0.382350 | − | 0.812536i | ||||
\(28\) | −1.55918 | − | 3.31343i | −0.294658 | − | 0.626179i | ||||
\(29\) | 2.23273 | − | 2.69891i | 0.414608 | − | 0.501176i | −0.521322 | − | 0.853360i | \(-0.674561\pi\) |
0.935931 | + | 0.352184i | \(0.114561\pi\) | |||||||
\(30\) | 2.97763 | − | 0.899001i | 0.543639 | − | 0.164134i | ||||
\(31\) | −2.73280 | + | 2.35889i | −0.490825 | + | 0.423669i | −0.863543 | − | 0.504276i | \(-0.831759\pi\) |
0.372717 | + | 0.927945i | \(0.378426\pi\) | |||||||
\(32\) | 3.90687 | − | 6.76689i | 0.690643 | − | 1.19623i | ||||
\(33\) | −2.30851 | − | 3.99846i | −0.401860 | − | 0.696042i | ||||
\(34\) | −10.0731 | − | 3.50782i | −1.72752 | − | 0.601586i | ||||
\(35\) | 0.935313 | − | 3.34991i | 0.158097 | − | 0.566239i | ||||
\(36\) | −1.57674 | + | 3.75093i | −0.262791 | + | 0.625155i | ||||
\(37\) | 8.55111 | + | 0.358398i | 1.40579 | + | 0.0589202i | 0.732657 | − | 0.680598i | \(-0.238280\pi\) |
0.673137 | + | 0.739518i | \(0.264946\pi\) | |||||||
\(38\) | 2.31890 | + | 1.03244i | 0.376175 | + | 0.167484i | ||||
\(39\) | −2.04367 | − | 1.76405i | −0.327250 | − | 0.282474i | ||||
\(40\) | 0.471156 | − | 0.164074i | 0.0744963 | − | 0.0259424i | ||||
\(41\) | 0.386191 | + | 6.13833i | 0.0603129 | + | 0.958647i | 0.905546 | + | 0.424249i | \(0.139462\pi\) |
−0.845233 | + | 0.534398i | \(0.820538\pi\) | |||||||
\(42\) | −1.98716 | − | 2.85915i | −0.306626 | − | 0.441177i | ||||
\(43\) | 0.248600 | − | 11.8680i | 0.0379111 | − | 1.80986i | −0.406092 | − | 0.913832i | \(-0.633109\pi\) |
0.444003 | − | 0.896025i | \(-0.353558\pi\) | |||||||
\(44\) | 5.10909 | + | 8.05064i | 0.770224 | + | 1.21368i | ||||
\(45\) | −3.46148 | + | 1.71830i | −0.516008 | + | 0.256148i | ||||
\(46\) | −1.05607 | − | 10.0479i | −0.155710 | − | 1.48148i | ||||
\(47\) | −0.684325 | − | 0.339702i | −0.0998191 | − | 0.0495506i | 0.394035 | − | 0.919095i | \(-0.371079\pi\) |
−0.493854 | + | 0.869545i | \(0.664412\pi\) | |||||||
\(48\) | 1.33676 | − | 3.59445i | 0.192945 | − | 0.518814i | ||||
\(49\) | 3.10382 | − | 0.130089i | 0.443403 | − | 0.0185841i | ||||
\(50\) | 3.45623 | + | 1.36842i | 0.488785 | + | 0.193524i | ||||
\(51\) | −4.81304 | − | 0.814065i | −0.673960 | − | 0.113992i | ||||
\(52\) | 4.36940 | + | 3.46314i | 0.605927 | + | 0.480251i | ||||
\(53\) | −0.464729 | + | 0.119322i | −0.0638354 | + | 0.0163902i | −0.280473 | − | 0.959862i | \(-0.590491\pi\) |
0.216637 | + | 0.976252i | \(0.430491\pi\) | |||||||
\(54\) | −2.09229 | + | 8.92053i | −0.284725 | + | 1.21393i | ||||
\(55\) | −1.32294 | + | 8.95894i | −0.178385 | + | 1.20802i | ||||
\(56\) | −0.337667 | − | 0.444860i | −0.0451226 | − | 0.0594469i | ||||
\(57\) | 1.12516 | + | 0.288893i | 0.149032 | + | 0.0382648i | ||||
\(58\) | −3.18660 | + | 6.09541i | −0.418421 | + | 0.800366i | ||||
\(59\) | −0.747995 | − | 2.30209i | −0.0973807 | − | 0.299707i | 0.890486 | − | 0.455010i | \(-0.150364\pi\) |
−0.987867 | + | 0.155303i | \(0.950364\pi\) | |||||||
\(60\) | −2.57605 | + | 1.41620i | −0.332567 | + | 0.182830i | ||||
\(61\) | −7.92028 | + | 6.27754i | −1.01409 | + | 0.803756i | −0.980667 | − | 0.195685i | \(-0.937307\pi\) |
−0.0334214 | + | 0.999441i | \(0.510640\pi\) | |||||||
\(62\) | 4.28591 | − | 5.64647i | 0.544311 | − | 0.717103i | ||||
\(63\) | 3.02680 | + | 3.09087i | 0.381342 | + | 0.389413i | ||||
\(64\) | −2.10388 | + | 6.47508i | −0.262985 | + | 0.809385i | ||||
\(65\) | 0.992256 | + | 5.20159i | 0.123074 | + | 0.645177i | ||||
\(66\) | 6.06643 | + | 6.73746i | 0.746726 | + | 0.829323i | ||||
\(67\) | −8.73531 | − | 8.20301i | −1.06719 | − | 1.00216i | −0.999990 | − | 0.00441692i | \(-0.998594\pi\) |
−0.0671981 | − | 0.997740i | \(-0.521406\pi\) | |||||||
\(68\) | 10.0015 | + | 1.26348i | 1.21285 | + | 0.153219i | ||||
\(69\) | −1.24340 | − | 4.45334i | −0.149687 | − | 0.536120i | ||||
\(70\) | −0.428833 | + | 6.81611i | −0.0512554 | + | 0.814681i | ||||
\(71\) | 0.467736 | − | 0.283271i | 0.0555100 | − | 0.0336181i | −0.489999 | − | 0.871723i | \(-0.663003\pi\) |
0.545509 | + | 0.838105i | \(0.316336\pi\) | |||||||
\(72\) | −0.116281 | + | 0.609564i | −0.0137038 | + | 0.0718378i | ||||
\(73\) | 7.63410 | + | 4.19688i | 0.893504 | + | 0.491208i | 0.861198 | − | 0.508270i | \(-0.169715\pi\) |
0.0323062 | + | 0.999478i | \(0.489715\pi\) | |||||||
\(74\) | −16.5706 | + | 2.80271i | −1.92630 | + | 0.325809i | ||||
\(75\) | 1.66401 | + | 0.353696i | 0.192143 | + | 0.0408413i | ||||
\(76\) | −2.34661 | − | 0.498787i | −0.269174 | − | 0.0572147i | ||||
\(77\) | 9.99579 | − | 1.69066i | 1.13913 | − | 0.192669i | ||||
\(78\) | 4.64553 | + | 2.55390i | 0.526002 | + | 0.289172i | ||||
\(79\) | 0.643822 | − | 3.37503i | 0.0724357 | − | 0.379721i | −0.927546 | − | 0.373708i | \(-0.878086\pi\) |
0.999982 | − | 0.00601268i | \(-0.00191391\pi\) | |||||||
\(80\) | −6.43416 | + | 3.89667i | −0.719361 | + | 0.435661i | ||||
\(81\) | 0.149700 | − | 2.37941i | 0.0166333 | − | 0.264378i | ||||
\(82\) | −3.24782 | − | 11.6324i | −0.358661 | − | 1.28458i | ||||
\(83\) | −7.04704 | − | 0.890248i | −0.773513 | − | 0.0977175i | −0.271339 | − | 0.962484i | \(-0.587466\pi\) |
−0.502174 | + | 0.864766i | \(0.667466\pi\) | |||||||
\(84\) | 2.39888 | + | 2.25270i | 0.261739 | + | 0.245790i | ||||
\(85\) | 6.40669 | + | 7.11536i | 0.694904 | + | 0.771769i | ||||
\(86\) | 4.36778 | + | 22.8967i | 0.470990 | + | 2.46901i | ||||
\(87\) | −0.972699 | + | 2.99366i | −0.104284 | + | 0.320954i | ||||
\(88\) | 1.01746 | + | 1.03899i | 0.108461 | + | 0.110757i | ||||
\(89\) | 4.40501 | − | 5.80339i | 0.466930 | − | 0.615158i | −0.501283 | − | 0.865283i | \(-0.667139\pi\) |
0.968213 | + | 0.250126i | \(0.0804719\pi\) | |||||||
\(90\) | 5.94704 | − | 4.71357i | 0.626873 | − | 0.496853i | ||||
\(91\) | 5.19463 | − | 2.85577i | 0.544545 | − | 0.299366i | ||||
\(92\) | 2.95071 | + | 9.08134i | 0.307632 | + | 0.946795i | ||||
\(93\) | 1.50301 | − | 2.87499i | 0.155854 | − | 0.298122i | ||||
\(94\) | 1.45309 | + | 0.373089i | 0.149874 | + | 0.0384812i | ||||
\(95\) | −1.37761 | − | 1.81493i | −0.141339 | − | 0.186208i | ||||
\(96\) | −1.02576 | + | 6.94644i | −0.104691 | + | 0.708968i | ||||
\(97\) | 1.18957 | − | 5.07177i | 0.120783 | − | 0.514960i | −0.878523 | − | 0.477701i | \(-0.841470\pi\) |
0.999306 | − | 0.0372599i | \(-0.0118629\pi\) | |||||||
\(98\) | −5.90847 | + | 1.51704i | −0.596846 | + | 0.153244i | ||||
\(99\) | −8.82772 | − | 6.99676i | −0.887219 | − | 0.703201i | ||||
\(100\) | −3.46405 | − | 0.585900i | −0.346405 | − | 0.0585900i | ||||
\(101\) | −16.6544 | − | 6.59396i | −1.65718 | − | 0.656124i | −0.661583 | − | 0.749872i | \(-0.730115\pi\) |
−0.995596 | + | 0.0937477i | \(0.970115\pi\) | |||||||
\(102\) | 9.57687 | − | 0.401390i | 0.948251 | − | 0.0397435i | ||||
\(103\) | 3.27723 | − | 8.81220i | 0.322915 | − | 0.868291i | −0.669214 | − | 0.743070i | \(-0.733369\pi\) |
0.992129 | − | 0.125222i | \(-0.0399642\pi\) | |||||||
\(104\) | 0.761645 | + | 0.378084i | 0.0746854 | + | 0.0370742i | ||||
\(105\) | 0.326705 | + | 3.10839i | 0.0318832 | + | 0.303348i | ||||
\(106\) | 0.843901 | − | 0.418916i | 0.0819669 | − | 0.0406887i | ||||
\(107\) | 2.48593 | + | 3.91720i | 0.240324 | + | 0.378690i | 0.942985 | − | 0.332834i | \(-0.108005\pi\) |
−0.702661 | + | 0.711525i | \(0.748005\pi\) | |||||||
\(108\) | 0.181355 | − | 8.65781i | 0.0174509 | − | 0.833099i | ||||
\(109\) | 7.49789 | + | 10.7880i | 0.718167 | + | 1.03331i | 0.997327 | + | 0.0730626i | \(0.0232773\pi\) |
−0.279160 | + | 0.960245i | \(0.590056\pi\) | |||||||
\(110\) | −1.11659 | − | 17.7478i | −0.106463 | − | 1.69218i | ||||
\(111\) | −7.26334 | + | 2.52936i | −0.689406 | + | 0.240076i | ||||
\(112\) | 6.37434 | + | 5.50218i | 0.602318 | + | 0.519907i | ||||
\(113\) | −8.99977 | − | 4.00696i | −0.846627 | − | 0.376943i | −0.0628789 | − | 0.998021i | \(-0.520028\pi\) |
−0.783748 | + | 0.621078i | \(0.786695\pi\) | |||||||
\(114\) | −2.27907 | − | 0.0955214i | −0.213455 | − | 0.00894640i | ||||
\(115\) | −3.51443 | + | 8.36050i | −0.327722 | + | 0.779620i | ||||
\(116\) | 1.74814 | − | 6.26113i | 0.162311 | − | 0.581332i | ||||
\(117\) | −6.22019 | − | 2.16610i | −0.575057 | − | 0.200256i | ||||
\(118\) | 2.37655 | + | 4.11631i | 0.218779 | + | 0.378937i | ||||
\(119\) | 5.35913 | − | 9.28228i | 0.491271 | − | 0.850906i | ||||
\(120\) | −0.339391 | + | 0.292954i | −0.0309820 | + | 0.0267430i | ||||
\(121\) | −14.7395 | + | 4.45012i | −1.33996 | + | 0.404557i | ||||
\(122\) | 12.6498 | − | 15.2910i | 1.14526 | − | 1.38438i | ||||
\(123\) | −2.35332 | − | 5.00105i | −0.212191 | − | 0.450930i | ||||
\(124\) | −2.85262 | + | 6.06212i | −0.256173 | + | 0.544395i | ||||
\(125\) | −7.74474 | − | 9.36178i | −0.692711 | − | 0.837343i | ||||
\(126\) | −7.07554 | − | 4.70098i | −0.630339 | − | 0.418796i | ||||
\(127\) | 2.04691 | − | 3.22541i | 0.181634 | − | 0.286209i | −0.741295 | − | 0.671179i | \(-0.765788\pi\) |
0.922929 | + | 0.384970i | \(0.125788\pi\) | |||||||
\(128\) | −0.236074 | + | 2.24610i | −0.0208662 | + | 0.198529i | ||||
\(129\) | 3.71838 | + | 9.99843i | 0.327385 | + | 0.880312i | ||||
\(130\) | −4.02946 | − | 9.58571i | −0.353407 | − | 0.840722i | ||||
\(131\) | 11.7013 | − | 1.47821i | 1.02234 | − | 0.129152i | 0.403756 | − | 0.914867i | \(-0.367705\pi\) |
0.618589 | + | 0.785715i | \(0.287705\pi\) | |||||||
\(132\) | −6.93209 | − | 5.03646i | −0.603361 | − | 0.438367i | ||||
\(133\) | −1.45572 | + | 2.09450i | −0.126227 | + | 0.181616i | ||||
\(134\) | 20.1271 | + | 12.1894i | 1.73872 | + | 1.05300i | ||||
\(135\) | 5.50347 | − | 6.11222i | 0.473663 | − | 0.526056i | ||||
\(136\) | 1.53209 | − | 0.128653i | 0.131376 | − | 0.0110319i | ||||
\(137\) | −2.40843 | − | 10.2684i | −0.205766 | − | 0.877288i | −0.972048 | − | 0.234783i | \(-0.924562\pi\) |
0.766282 | − | 0.642505i | \(-0.222105\pi\) | |||||||
\(138\) | 4.20635 | + | 8.04601i | 0.358069 | + | 0.684922i | ||||
\(139\) | 10.3125 | − | 10.5308i | 0.874694 | − | 0.893208i | −0.120341 | − | 0.992733i | \(-0.538399\pi\) |
0.995035 | + | 0.0995245i | \(0.0317322\pi\) | |||||||
\(140\) | −0.942928 | − | 6.38549i | −0.0796919 | − | 0.539673i | ||||
\(141\) | 0.684157 | + | 0.0574503i | 0.0576164 | + | 0.00483819i | ||||
\(142\) | −0.782743 | + | 0.735044i | −0.0656863 | + | 0.0616835i | ||||
\(143\) | −12.4871 | + | 9.07244i | −1.04423 | + | 0.758675i | ||||
\(144\) | −0.195943 | − | 9.35420i | −0.0163286 | − | 0.779517i | ||||
\(145\) | 5.14256 | − | 3.41671i | 0.427066 | − | 0.283742i | ||||
\(146\) | −16.3764 | − | 4.94433i | −1.35532 | − | 0.409196i | ||||
\(147\) | −2.55032 | + | 1.13548i | −0.210347 | + | 0.0936526i | ||||
\(148\) | 14.7682 | − | 5.84713i | 1.21394 | − | 0.480631i | ||||
\(149\) | 5.07298 | − | 1.07829i | 0.415595 | − | 0.0883374i | 0.00463137 | − | 0.999989i | \(-0.498526\pi\) |
0.410963 | + | 0.911652i | \(0.365192\pi\) | |||||||
\(150\) | −3.34051 | −0.272751 | ||||||||
\(151\) | 9.72492 | + | 7.51172i | 0.791403 | + | 0.611295i | ||||
\(152\) | −0.365885 | −0.0296772 | ||||||||
\(153\) | −11.6490 | + | 2.47607i | −0.941766 | + | 0.200179i | ||||
\(154\) | −18.5089 | + | 7.32820i | −1.49149 | + | 0.590523i | ||||
\(155\) | −5.81315 | + | 2.58818i | −0.466923 | + | 0.207888i | ||||
\(156\) | −4.79645 | − | 1.44813i | −0.384023 | − | 0.115943i | ||||
\(157\) | 6.12638 | − | 4.07035i | 0.488938 | − | 0.324850i | −0.284549 | − | 0.958661i | \(-0.591844\pi\) |
0.773487 | + | 0.633812i | \(0.218511\pi\) | |||||||
\(158\) | 0.141295 | + | 6.74536i | 0.0112408 | + | 0.536632i | ||||
\(159\) | 0.348825 | − | 0.253436i | 0.0276636 | − | 0.0200988i | ||||
\(160\) | 10.0400 | − | 9.42820i | 0.793732 | − | 0.745364i | ||||
\(161\) | 10.1167 | + | 0.849527i | 0.797311 | + | 0.0669521i | ||||
\(162\) | 0.683890 | + | 4.63130i | 0.0537315 | + | 0.363869i | ||||
\(163\) | −14.2855 | + | 14.5878i | −1.11892 | + | 1.14261i | −0.130411 | + | 0.991460i | \(0.541630\pi\) |
−0.988511 | + | 0.151146i | \(0.951703\pi\) | |||||||
\(164\) | 5.28824 | + | 10.1155i | 0.412942 | + | 0.789886i | ||||
\(165\) | −1.85837 | − | 7.92318i | −0.144674 | − | 0.616819i | ||||
\(166\) | 13.8989 | − | 1.16712i | 1.07876 | − | 0.0905862i | ||||
\(167\) | 1.57381 | − | 1.74790i | 0.121785 | − | 0.135256i | −0.679169 | − | 0.733982i | \(-0.737660\pi\) |
0.800954 | + | 0.598726i | \(0.204326\pi\) | |||||||
\(168\) | 0.429299 | + | 0.259992i | 0.0331211 | + | 0.0200589i | ||||
\(169\) | 2.26841 | − | 3.26382i | 0.174493 | − | 0.251063i | ||||
\(170\) | −15.2104 | − | 11.0510i | −1.16659 | − | 0.847574i | ||||
\(171\) | 2.81178 | − | 0.355210i | 0.215022 | − | 0.0271636i | ||||
\(172\) | −8.53705 | − | 20.3088i | −0.650944 | − | 1.54853i | ||||
\(173\) | 7.83174 | + | 21.0589i | 0.595436 | + | 1.60108i | 0.785195 | + | 0.619249i | \(0.212563\pi\) |
−0.189758 | + | 0.981831i | \(0.560770\pi\) | |||||||
\(174\) | 0.646087 | − | 6.14711i | 0.0489798 | − | 0.466011i | ||||
\(175\) | −2.00150 | + | 3.15386i | −0.151299 | + | 0.238410i | ||||
\(176\) | −18.2622 | − | 12.1334i | −1.37656 | − | 0.914587i | ||||
\(177\) | 1.38654 | + | 1.67604i | 0.104219 | + | 0.125979i | ||||
\(178\) | −6.09150 | + | 12.9451i | −0.456577 | + | 0.970276i | ||||
\(179\) | 9.28081 | + | 19.7227i | 0.693680 | + | 1.47415i | 0.871660 | + | 0.490111i | \(0.163044\pi\) |
−0.177980 | + | 0.984034i | \(0.556956\pi\) | |||||||
\(180\) | −4.57159 | + | 5.52610i | −0.340746 | + | 0.411891i | ||||
\(181\) | 10.0955 | − | 3.04802i | 0.750394 | − | 0.226557i | 0.109289 | − | 0.994010i | \(-0.465143\pi\) |
0.641106 | + | 0.767453i | \(0.278476\pi\) | |||||||
\(182\) | −8.81154 | + | 7.60592i | −0.653155 | + | 0.563788i | ||||
\(183\) | 4.54100 | − | 7.86525i | 0.335681 | − | 0.581416i | ||||
\(184\) | 0.728153 | + | 1.26120i | 0.0536801 | + | 0.0929767i | ||||
\(185\) | 14.2467 | + | 4.96124i | 1.04744 | + | 0.364757i | ||||
\(186\) | −1.71311 | + | 6.13567i | −0.125611 | + | 0.449889i | ||||
\(187\) | −10.8148 | + | 25.7275i | −0.790860 | + | 1.88138i | ||||
\(188\) | −1.41663 | − | 0.0593746i | −0.103319 | − | 0.00433033i | ||||
\(189\) | −8.41118 | − | 3.74490i | −0.611823 | − | 0.272401i | ||||
\(190\) | 3.38697 | + | 2.92355i | 0.245717 | + | 0.212097i | ||||
\(191\) | −5.12880 | + | 1.78604i | −0.371107 | + | 0.129233i | −0.508010 | − | 0.861351i | \(-0.669619\pi\) |
0.136903 | + | 0.990584i | \(0.456285\pi\) | |||||||
\(192\) | −0.384167 | − | 6.10616i | −0.0277249 | − | 0.440674i | ||||
\(193\) | 2.08297 | + | 2.99700i | 0.149935 | + | 0.215728i | 0.889002 | − | 0.457904i | \(-0.151400\pi\) |
−0.739066 | + | 0.673633i | \(0.764733\pi\) | |||||||
\(194\) | −0.214228 | + | 10.2271i | −0.0153807 | + | 0.734265i | ||||
\(195\) | −2.54982 | − | 4.01787i | −0.182596 | − | 0.287726i | ||||
\(196\) | 5.16405 | − | 2.56346i | 0.368861 | − | 0.183104i | ||||
\(197\) | −2.42995 | − | 23.1195i | −0.173127 | − | 1.64719i | −0.644024 | − | 0.765005i | \(-0.722736\pi\) |
0.470897 | − | 0.882188i | \(-0.343930\pi\) | |||||||
\(198\) | 19.8121 | + | 9.83482i | 1.40799 | + | 0.698930i | ||||
\(199\) | −4.62582 | + | 12.4385i | −0.327916 | + | 0.881739i | 0.663164 | + | 0.748474i | \(0.269213\pi\) |
−0.991080 | + | 0.133266i | \(0.957454\pi\) | |||||||
\(200\) | −0.535348 | + | 0.0224377i | −0.0378548 | + | 0.00158659i | ||||
\(201\) | 10.0123 | + | 3.96417i | 0.706216 | + | 0.279611i | ||||
\(202\) | 34.6807 | + | 5.86579i | 2.44012 | + | 0.412716i | ||||
\(203\) | −5.41655 | − | 4.29310i | −0.380167 | − | 0.301317i | ||||
\(204\) | −8.77457 | + | 2.25293i | −0.614342 | + | 0.157736i | ||||
\(205\) | −2.47558 | + | 10.5547i | −0.172902 | + | 0.737172i | ||||
\(206\) | −2.69696 | + | 18.2638i | −0.187906 | + | 1.27250i | ||||
\(207\) | −6.82015 | − | 8.98522i | −0.474034 | − | 0.624516i | ||||
\(208\) | −12.4177 | − | 3.18833i | −0.861015 | − | 0.221071i | ||||
\(209\) | 3.07698 | − | 5.88571i | 0.212839 | − | 0.407123i | ||||
\(210\) | −1.89655 | − | 5.83698i | −0.130874 | − | 0.402790i | ||||
\(211\) | 4.44494 | − | 2.44363i | 0.306002 | − | 0.168226i | −0.321353 | − | 0.946960i | \(-0.604138\pi\) |
0.627355 | + | 0.778733i | \(0.284138\pi\) | |||||||
\(212\) | −0.697836 | + | 0.553098i | −0.0479276 | + | 0.0379869i | ||||
\(213\) | −0.297101 | + | 0.391417i | −0.0203571 | + | 0.0268194i | ||||
\(214\) | −6.37404 | − | 6.50895i | −0.435720 | − | 0.444943i | ||||
\(215\) | 6.46581 | − | 19.8997i | 0.440964 | − | 1.35715i | ||||
\(216\) | −0.247479 | − | 1.29733i | −0.0168388 | − | 0.0882722i | ||||
\(217\) | 4.76643 | + | 5.29366i | 0.323566 | + | 0.359357i | ||||
\(218\) | −18.8057 | − | 17.6597i | −1.27368 | − | 1.19607i | ||||
\(219\) | −7.76696 | − | 0.981195i | −0.524843 | − | 0.0663030i | ||||
\(220\) | 4.51969 | + | 16.1877i | 0.304717 | + | 1.09137i | ||||
\(221\) | −1.02466 | + | 16.2866i | −0.0689264 | + | 1.09555i | ||||
\(222\) | 12.9182 | − | 7.82355i | 0.867014 | − | 0.525083i | ||||
\(223\) | 4.49532 | − | 23.5653i | 0.301029 | − | 1.57805i | −0.434575 | − | 0.900636i | \(-0.643102\pi\) |
0.735604 | − | 0.677412i | \(-0.236898\pi\) | |||||||
\(224\) | −13.5108 | − | 7.42765i | −0.902731 | − | 0.496281i | ||||
\(225\) | 4.09230 | − | 0.692160i | 0.272820 | − | 0.0461440i | ||||
\(226\) | 18.9220 | + | 4.02199i | 1.25867 | + | 0.267539i | ||||
\(227\) | −25.2388 | − | 5.36468i | −1.67516 | − | 0.356066i | −0.730195 | − | 0.683238i | \(-0.760571\pi\) |
−0.944965 | + | 0.327172i | \(0.893904\pi\) | |||||||
\(228\) | 2.12568 | − | 0.359532i | 0.140777 | − | 0.0238106i | ||||
\(229\) | −16.1530 | − | 8.88018i | −1.06742 | − | 0.586819i | −0.151614 | − | 0.988440i | \(-0.548447\pi\) |
−0.915806 | + | 0.401621i | \(0.868447\pi\) | |||||||
\(230\) | 3.33697 | − | 17.4930i | 0.220033 | − | 1.15345i | ||||
\(231\) | −7.79257 | + | 4.71935i | −0.512713 | + | 0.310510i | ||||
\(232\) | 0.0622524 | − | 0.989474i | 0.00408707 | − | 0.0649621i | ||||
\(233\) | 3.42507 | + | 12.2672i | 0.224384 | + | 0.803653i | 0.987531 | + | 0.157428i | \(0.0503201\pi\) |
−0.763147 | + | 0.646226i | \(0.776347\pi\) | |||||||
\(234\) | 12.8316 | + | 1.62101i | 0.838828 | + | 0.105969i | ||||
\(235\) | −0.981679 | − | 0.921858i | −0.0640377 | − | 0.0601354i | ||||
\(236\) | −3.00588 | − | 3.33837i | −0.195666 | − | 0.217309i | ||||
\(237\) | 0.578567 | + | 3.03295i | 0.0375820 | + | 0.197011i | ||||
\(238\) | −6.50380 | + | 20.0166i | −0.421579 | + | 1.29749i | ||||
\(239\) | 11.1187 | + | 11.3541i | 0.719210 | + | 0.734433i | 0.972486 | − | 0.232961i | \(-0.0748415\pi\) |
−0.253276 | + | 0.967394i | \(0.581508\pi\) | |||||||
\(240\) | 4.08692 | − | 5.38432i | 0.263809 | − | 0.347556i | ||||
\(241\) | 17.9796 | − | 14.2504i | 1.15816 | − | 0.917950i | 0.160554 | − | 0.987027i | \(-0.448672\pi\) |
0.997611 | + | 0.0690769i | \(0.0220054\pi\) | |||||||
\(242\) | 26.4937 | − | 14.5651i | 1.70308 | − | 0.936277i | ||||
\(243\) | 4.98782 | + | 15.3509i | 0.319969 | + | 0.984763i | ||||
\(244\) | −8.68956 | + | 16.6216i | −0.556292 | + | 1.06409i | ||||
\(245\) | 5.30372 | + | 1.36177i | 0.338843 | + | 0.0870000i | ||||
\(246\) | 6.56181 | + | 8.64487i | 0.418366 | + | 0.551177i | ||||
\(247\) | 0.567312 | − | 3.84183i | 0.0360972 | − | 0.244450i | ||||
\(248\) | −0.233330 | + | 0.994807i | −0.0148165 | + | 0.0631703i | ||||
\(249\) | 6.18258 | − | 1.58742i | 0.391805 | − | 0.100598i | ||||
\(250\) | 18.6976 | + | 14.8195i | 1.18254 | + | 0.937268i | ||||
\(251\) | −0.828351 | − | 0.140105i | −0.0522850 | − | 0.00884335i | 0.140568 | − | 0.990071i | \(-0.455107\pi\) |
−0.192853 | + | 0.981228i | \(0.561774\pi\) | |||||||
\(252\) | 7.46480 | + | 2.95552i | 0.470238 | + | 0.186181i | ||||
\(253\) | −26.4115 | + | 1.10697i | −1.66047 | + | 0.0695945i | ||||
\(254\) | −2.61473 | + | 7.03080i | −0.164063 | + | 0.441151i | ||||
\(255\) | −7.70689 | − | 3.82573i | −0.482624 | − | 0.239577i | ||||
\(256\) | −1.88689 | − | 17.9525i | −0.117930 | − | 1.12203i | ||||
\(257\) | 23.3398 | − | 11.5860i | 1.45589 | − | 0.722712i | 0.468868 | − | 0.883268i | \(-0.344662\pi\) |
0.987027 | + | 0.160556i | \(0.0513288\pi\) | |||||||
\(258\) | −11.2240 | − | 17.6861i | −0.698774 | − | 1.10109i | ||||
\(259\) | 0.353670 | − | 16.8840i | 0.0219760 | − | 1.04912i | ||||
\(260\) | 5.60867 | + | 8.06982i | 0.347835 | + | 0.500469i | ||||
\(261\) | 0.482204 | + | 7.66441i | 0.0298477 | + | 0.474415i | ||||
\(262\) | −21.8714 | + | 7.61643i | −1.35122 | + | 0.470545i | ||||
\(263\) | 7.96371 | + | 6.87409i | 0.491063 | + | 0.423874i | 0.863626 | − | 0.504133i | \(-0.168188\pi\) |
−0.372563 | + | 0.928007i | \(0.621521\pi\) | |||||||
\(264\) | −1.19384 | − | 0.531531i | −0.0734757 | − | 0.0327135i | ||||
\(265\) | −0.844983 | − | 0.0354153i | −0.0519069 | − | 0.00217554i | ||||
\(266\) | 1.94092 | − | 4.61728i | 0.119006 | − | 0.283103i | ||||
\(267\) | −1.76072 | + | 6.30618i | −0.107754 | + | 0.385932i | ||||
\(268\) | −21.0019 | − | 7.31365i | −1.28290 | − | 0.446752i | ||||
\(269\) | −12.1680 | − | 21.0756i | −0.741898 | − | 1.28500i | −0.951630 | − | 0.307246i | \(-0.900593\pi\) |
0.209733 | − | 0.977759i | \(-0.432741\pi\) | |||||||
\(270\) | −8.07525 | + | 13.9867i | −0.491444 | + | 0.851206i | ||||
\(271\) | −12.8466 | + | 11.0889i | −0.780374 | + | 0.673601i | −0.950119 | − | 0.311887i | \(-0.899039\pi\) |
0.169745 | + | 0.985488i | \(0.445706\pi\) | |||||||
\(272\) | −22.1916 | + | 6.70003i | −1.34556 | + | 0.406249i | ||||
\(273\) | −3.39558 | + | 4.10456i | −0.205510 | + | 0.248419i | ||||
\(274\) | 8.81813 | + | 18.7395i | 0.532723 | + | 1.13209i | ||||
\(275\) | 4.14117 | − | 8.80044i | 0.249722 | − | 0.530686i | ||||
\(276\) | −5.46965 | − | 6.61167i | −0.329234 | − | 0.397976i | ||||
\(277\) | −19.1540 | − | 12.7259i | −1.15085 | − | 0.764623i | −0.175324 | − | 0.984511i | \(-0.556097\pi\) |
−0.975525 | + | 0.219888i | \(0.929431\pi\) | |||||||
\(278\) | −15.5081 | + | 24.4369i | −0.930116 | + | 1.46563i | ||||
\(279\) | 0.827326 | − | 7.87148i | 0.0495307 | − | 0.471253i | ||||
\(280\) | −0.343147 | − | 0.922694i | −0.0205069 | − | 0.0551415i | ||||
\(281\) | 8.28696 | + | 19.7139i | 0.494358 | + | 1.17603i | 0.957157 | + | 0.289569i | \(0.0935119\pi\) |
−0.462799 | + | 0.886463i | \(0.653155\pi\) | |||||||
\(282\) | −1.33753 | + | 0.168970i | −0.0796489 | + | 0.0100620i | ||||
\(283\) | 20.4307 | + | 14.8438i | 1.21448 | + | 0.882372i | 0.995630 | − | 0.0933863i | \(-0.0297692\pi\) |
0.218851 | + | 0.975758i | \(0.429769\pi\) | |||||||
\(284\) | 0.579178 | − | 0.833329i | 0.0343679 | − | 0.0494490i | ||||
\(285\) | 1.75144 | + | 1.06071i | 0.103747 | + | 0.0628312i | ||||
\(286\) | 20.2804 | − | 22.5237i | 1.19921 | − | 1.33185i | ||||
\(287\) | 12.0934 | − | 1.01552i | 0.713854 | − | 0.0599440i | ||||
\(288\) | 3.91191 | + | 16.6785i | 0.230512 | + | 0.982791i | ||||
\(289\) | 5.79407 | + | 11.0830i | 0.340828 | + | 0.651943i | ||||
\(290\) | −8.48252 | + | 8.66206i | −0.498111 | + | 0.508654i | ||||
\(291\) | 0.683874 | + | 4.63118i | 0.0400894 | + | 0.271485i | ||||
\(292\) | 16.1109 | + | 1.35287i | 0.942821 | + | 0.0791709i | ||||
\(293\) | 1.49357 | − | 1.40256i | 0.0872554 | − | 0.0819382i | −0.639692 | − | 0.768631i | \(-0.720938\pi\) |
0.726948 | + | 0.686693i | \(0.240938\pi\) | |||||||
\(294\) | 4.43489 | − | 3.22214i | 0.258648 | − | 0.187919i | ||||
\(295\) | −0.0893531 | − | 4.26567i | −0.00520234 | − | 0.248357i | ||||
\(296\) | 2.01772 | − | 1.34057i | 0.117278 | − | 0.0779191i | ||||
\(297\) | 22.9504 | + | 6.92914i | 1.33172 | + | 0.402069i | ||||
\(298\) | −9.30356 | + | 4.14221i | −0.538941 | + | 0.239952i | ||||
\(299\) | −14.3717 | + | 5.69016i | −0.831138 | + | 0.329071i | ||||
\(300\) | 3.08817 | − | 0.656410i | 0.178295 | − | 0.0378978i | ||||
\(301\) | −23.4229 | −1.35008 | ||||||||
\(302\) | −21.7456 | − | 10.4576i | −1.25132 | − | 0.601768i | ||||
\(303\) | 16.0968 | 0.924736 | ||||||||
\(304\) | 5.39598 | − | 1.14695i | 0.309480 | − | 0.0657821i | ||||
\(305\) | −16.5630 | + | 6.55776i | −0.948396 | + | 0.375496i | ||||
\(306\) | 21.3636 | − | 9.51170i | 1.22128 | − | 0.543748i | ||||
\(307\) | −18.3460 | − | 5.53898i | −1.04706 | − | 0.316126i | −0.281548 | − | 0.959547i | \(-0.590848\pi\) |
−0.765513 | + | 0.643421i | \(0.777515\pi\) | |||||||
\(308\) | 15.6708 | − | 10.4116i | 0.892926 | − | 0.593258i | ||||
\(309\) | 0.176941 | + | 8.44707i | 0.0100658 | + | 0.480537i | ||||
\(310\) | 10.1088 | − | 7.34447i | 0.574141 | − | 0.417138i | ||||
\(311\) | −0.496652 | + | 0.466387i | −0.0281625 | + | 0.0264464i | −0.698501 | − | 0.715609i | \(-0.746149\pi\) |
0.670338 | + | 0.742056i | \(0.266149\pi\) | |||||||
\(312\) | −0.761458 | − | 0.0639414i | −0.0431091 | − | 0.00361997i | ||||
\(313\) | −1.92566 | − | 13.0405i | −0.108845 | − | 0.737095i | −0.972481 | − | 0.232980i | \(-0.925152\pi\) |
0.863637 | − | 0.504114i | \(-0.168181\pi\) | |||||||
\(314\) | −10.1053 | + | 10.3192i | −0.570275 | + | 0.582346i | ||||
\(315\) | 3.53281 | + | 6.75764i | 0.199051 | + | 0.380750i | ||||
\(316\) | −1.45609 | − | 6.20805i | −0.0819112 | − | 0.349230i | ||||
\(317\) | 4.55822 | − | 0.382764i | 0.256015 | − | 0.0214982i | 0.0450230 | − | 0.998986i | \(-0.485664\pi\) |
0.210992 | + | 0.977488i | \(0.432331\pi\) | |||||||
\(318\) | −0.566528 | + | 0.629194i | −0.0317693 | + | 0.0352834i | ||||
\(319\) | 15.3934 | + | 9.32257i | 0.861865 | + | 0.521964i | ||||
\(320\) | −6.84894 | + | 9.85433i | −0.382867 | + | 0.550874i | ||||
\(321\) | −3.37295 | − | 2.45059i | −0.188260 | − | 0.136779i | ||||
\(322\) | −19.7783 | + | 2.49858i | −1.10220 | + | 0.139240i | ||||
\(323\) | −2.72105 | − | 6.47313i | −0.151403 | − | 0.360175i | ||||
\(324\) | −1.54228 | − | 4.14707i | −0.0856823 | − | 0.230393i | ||||
\(325\) | 0.594470 | − | 5.65600i | 0.0329752 | − | 0.313738i | ||||
\(326\) | 21.4827 | − | 33.8514i | 1.18982 | − | 1.87485i | ||||
\(327\) | −9.83359 | − | 6.53342i | −0.543799 | − | 0.361299i | ||||
\(328\) | 1.10966 | + | 1.34135i | 0.0612707 | + | 0.0740636i | ||||
\(329\) | −0.641869 | + | 1.36404i | −0.0353874 | + | 0.0752020i | ||||
\(330\) | 6.80414 | + | 14.4595i | 0.374556 | + | 0.795972i | ||||
\(331\) | 22.5034 | − | 27.2019i | 1.23690 | − | 1.49515i | 0.431847 | − | 0.901947i | \(-0.357862\pi\) |
0.805051 | − | 0.593206i | \(-0.202138\pi\) | |||||||
\(332\) | −12.6196 | + | 3.81009i | −0.692592 | + | 0.209106i | ||||
\(333\) | −14.2044 | + | 12.2610i | −0.778399 | + | 0.671896i | ||||
\(334\) | −2.30926 | + | 3.99975i | −0.126357 | + | 0.218857i | ||||
\(335\) | −10.5610 | − | 18.2922i | −0.577011 | − | 0.999412i | ||||
\(336\) | −7.14619 | − | 2.48857i | −0.389857 | − | 0.135762i | ||||
\(337\) | −5.36172 | + | 19.2035i | −0.292072 | + | 1.04608i | 0.662735 | + | 0.748854i | \(0.269396\pi\) |
−0.954806 | + | 0.297229i | \(0.903938\pi\) | |||||||
\(338\) | −3.02450 | + | 7.19500i | −0.164511 | + | 0.391357i | ||||
\(339\) | 8.84520 | + | 0.370724i | 0.480405 | + | 0.0201350i | ||||
\(340\) | 16.2330 | + | 7.22738i | 0.880356 | + | 0.391960i | ||||
\(341\) | −14.0405 | − | 12.1194i | −0.760335 | − | 0.656303i | ||||
\(342\) | −5.25563 | + | 1.83020i | −0.284192 | + | 0.0989660i | ||||
\(343\) | −1.25217 | − | 19.9027i | −0.0676110 | − | 1.07465i | ||||
\(344\) | −1.91754 | − | 2.75898i | −0.103387 | − | 0.148754i | ||||
\(345\) | 0.170679 | − | 8.14813i | 0.00918905 | − | 0.438680i | ||||
\(346\) | −23.6402 | − | 37.2510i | −1.27090 | − | 2.00262i | ||||
\(347\) | 16.5162 | − | 8.19871i | 0.886636 | − | 0.440130i | 0.0569605 | − | 0.998376i | \(-0.481859\pi\) |
0.829675 | + | 0.558247i | \(0.188526\pi\) | |||||||
\(348\) | 0.610626 | + | 5.80972i | 0.0327330 | + | 0.311434i | ||||
\(349\) | −9.60735 | − | 4.76913i | −0.514269 | − | 0.255286i | 0.168785 | − | 0.985653i | \(-0.446016\pi\) |
−0.683055 | + | 0.730367i | \(0.739349\pi\) | |||||||
\(350\) | 2.55673 | − | 6.87484i | 0.136663 | − | 0.367476i | ||||
\(351\) | 14.0058 | − | 0.587018i | 0.747576 | − | 0.0313327i | ||||
\(352\) | 37.3260 | + | 14.7784i | 1.98948 | + | 0.787692i | ||||
\(353\) | 18.8562 | + | 3.18928i | 1.00361 | + | 0.169748i | 0.645362 | − | 0.763877i | \(-0.276707\pi\) |
0.358251 | + | 0.933625i | \(0.383373\pi\) | |||||||
\(354\) | −3.34742 | − | 2.65314i | −0.177914 | − | 0.141013i | ||||
\(355\) | 0.933583 | − | 0.239703i | 0.0495495 | − | 0.0127221i | ||||
\(356\) | 3.08764 | − | 13.1642i | 0.163645 | − | 0.697702i | ||||
\(357\) | −1.40706 | + | 9.52857i | −0.0744693 | + | 0.504305i | ||||
\(358\) | −25.8779 | − | 34.0929i | −1.36769 | − | 1.80186i | ||||
\(359\) | −7.55957 | − | 1.94097i | −0.398979 | − | 0.102440i | 0.0438687 | − | 0.999037i | \(-0.486032\pi\) |
−0.442847 | + | 0.896597i | \(0.646032\pi\) | |||||||
\(360\) | −0.506764 | + | 0.969351i | −0.0267088 | + | 0.0510893i | ||||
\(361\) | −5.35495 | − | 16.4808i | −0.281839 | − | 0.867412i | ||||
\(362\) | −18.1463 | + | 9.97602i | −0.953749 | + | 0.524328i | ||||
\(363\) | 10.8433 | − | 8.59427i | 0.569124 | − | 0.451082i | ||||
\(364\) | 6.65136 | − | 8.76285i | 0.348626 | − | 0.459298i | ||||
\(365\) | 10.7438 | + | 10.9712i | 0.562356 | + | 0.574259i | ||||
\(366\) | −5.51093 | + | 16.9609i | −0.288061 | + | 0.886560i | ||||
\(367\) | 3.02140 | + | 15.8387i | 0.157716 | + | 0.826775i | 0.969924 | + | 0.243408i | \(0.0782653\pi\) |
−0.812208 | + | 0.583368i | \(0.801735\pi\) | |||||||
\(368\) | −14.6921 | − | 16.3172i | −0.765880 | − | 0.850595i | ||||
\(369\) | −9.82980 | − | 9.23080i | −0.511719 | − | 0.480536i | ||||
\(370\) | −29.3895 | − | 3.71276i | −1.52789 | − | 0.193017i | ||||
\(371\) | 0.254597 | + | 0.911864i | 0.0132180 | + | 0.0473416i | ||||
\(372\) | 0.378043 | − | 6.00882i | 0.0196006 | − | 0.311543i | ||||
\(373\) | 2.37021 | − | 1.43545i | 0.122725 | − | 0.0743248i | −0.455330 | − | 0.890323i | \(-0.650479\pi\) |
0.578055 | + | 0.815998i | \(0.303812\pi\) | |||||||
\(374\) | 10.2688 | − | 53.8307i | 0.530985 | − | 2.78352i | ||||
\(375\) | 9.56802 | + | 5.26006i | 0.494091 | + | 0.271629i | ||||
\(376\) | −0.213217 | + | 0.0360630i | −0.0109958 | + | 0.00185981i | ||||
\(377\) | 10.2930 | + | 2.18786i | 0.530119 | + | 0.112680i | ||||
\(378\) | 17.6844 | + | 3.75894i | 0.909590 | + | 0.193339i | ||||
\(379\) | 10.3641 | − | 1.75295i | 0.532366 | − | 0.0900430i | 0.105606 | − | 0.994408i | \(-0.466322\pi\) |
0.426760 | + | 0.904365i | \(0.359655\pi\) | |||||||
\(380\) | −3.70560 | − | 2.03717i | −0.190093 | − | 0.104505i | ||||
\(381\) | −0.643261 | + | 3.37209i | −0.0329553 | + | 0.172758i | ||||
\(382\) | 9.12183 | − | 5.52438i | 0.466713 | − | 0.282652i | ||||
\(383\) | −0.217474 | + | 3.45665i | −0.0111124 | + | 0.176626i | 0.988556 | + | 0.150857i | \(0.0482034\pi\) |
−0.999668 | + | 0.0257690i | \(0.991797\pi\) | |||||||
\(384\) | −0.545788 | − | 1.95479i | −0.0278521 | − | 0.0997552i | ||||
\(385\) | 17.7284 | + | 2.23962i | 0.903525 | + | 0.114142i | ||||
\(386\) | −5.22436 | − | 4.90600i | −0.265913 | − | 0.249709i | ||||
\(387\) | 17.4146 | + | 19.3408i | 0.885232 | + | 0.983149i | ||||
\(388\) | −1.81159 | − | 9.49668i | −0.0919694 | − | 0.482121i | ||||
\(389\) | −7.10475 | + | 21.8662i | −0.360225 | + | 1.10866i | 0.592692 | + | 0.805429i | \(0.298065\pi\) |
−0.952917 | + | 0.303230i | \(0.901935\pi\) | |||||||
\(390\) | 6.53784 | + | 6.67623i | 0.331057 | + | 0.338064i | ||||
\(391\) | −16.8975 | + | 22.2617i | −0.854545 | + | 1.12582i | ||||
\(392\) | 0.689092 | − | 0.546167i | 0.0348044 | − | 0.0275856i | ||||
\(393\) | −9.28784 | + | 5.10603i | −0.468510 | + | 0.257565i | ||||
\(394\) | 14.1061 | + | 43.4140i | 0.710654 | + | 2.18717i | ||||
\(395\) | 2.80585 | − | 5.36710i | 0.141178 | − | 0.270048i | ||||
\(396\) | −20.2481 | − | 5.19882i | −1.01750 | − | 0.261251i | ||||
\(397\) | −7.79280 | − | 10.2666i | −0.391109 | − | 0.515268i | 0.558159 | − | 0.829734i | \(-0.311508\pi\) |
−0.949269 | + | 0.314466i | \(0.898174\pi\) | |||||||
\(398\) | 3.80677 | − | 25.7794i | 0.190816 | − | 1.29220i | ||||
\(399\) | 0.523418 | − | 2.23161i | 0.0262037 | − | 0.111720i | ||||
\(400\) | 7.82484 | − | 2.00908i | 0.391242 | − | 0.100454i | ||||
\(401\) | 3.50286 | + | 2.77634i | 0.174925 | + | 0.138644i | 0.704730 | − | 0.709476i | \(-0.251068\pi\) |
−0.529805 | + | 0.848119i | \(0.677735\pi\) | |||||||
\(402\) | −20.8494 | − | 3.52641i | −1.03987 | − | 0.175881i | ||||
\(403\) | −10.0838 | − | 3.99246i | −0.502310 | − | 0.198878i | ||||
\(404\) | −33.2135 | + | 1.39206i | −1.65244 | + | 0.0692576i | ||||
\(405\) | 1.46482 | − | 3.93879i | 0.0727877 | − | 0.195720i | ||||
\(406\) | 12.1564 | + | 6.03449i | 0.603312 | + | 0.299487i | ||||
\(407\) | 4.59635 | + | 43.7313i | 0.227832 | + | 2.16768i | ||||
\(408\) | −1.23756 | + | 0.614329i | −0.0612683 | + | 0.0304138i | ||||
\(409\) | −13.6677 | − | 21.5369i | −0.675825 | − | 1.06493i | −0.993176 | − | 0.116622i | \(-0.962793\pi\) |
0.317351 | − | 0.948308i | \(-0.397207\pi\) | |||||||
\(410\) | 0.445823 | − | 21.2834i | 0.0220176 | − | 1.05111i | ||||
\(411\) | 5.40925 | + | 7.78289i | 0.266819 | + | 0.383902i | ||||
\(412\) | −1.09560 | − | 17.4141i | −0.0539764 | − | 0.857930i | ||||
\(413\) | −4.51055 | + | 1.57074i | −0.221950 | + | 0.0772910i | ||||
\(414\) | 16.7680 | + | 14.4737i | 0.824100 | + | 0.711344i | ||||
\(415\) | −11.4378 | − | 5.09243i | −0.561458 | − | 0.249977i | ||||
\(416\) | 23.4535 | + | 0.982995i | 1.14990 | + | 0.0481953i | ||||
\(417\) | −5.13276 | + | 12.2104i | −0.251352 | + | 0.597944i | ||||
\(418\) | −3.50711 | + | 12.5610i | −0.171538 | + | 0.614381i | ||||
\(419\) | −8.66849 | − | 3.01869i | −0.423483 | − | 0.147472i | 0.108752 | − | 0.994069i | \(-0.465315\pi\) |
−0.532235 | + | 0.846596i | \(0.678648\pi\) | |||||||
\(420\) | 2.90026 | + | 5.02339i | 0.141518 | + | 0.245116i | ||||
\(421\) | 1.27249 | − | 2.20401i | 0.0620173 | − | 0.107417i | −0.833350 | − | 0.552746i | \(-0.813580\pi\) |
0.895367 | + | 0.445329i | \(0.146913\pi\) | |||||||
\(422\) | −7.53986 | + | 6.50823i | −0.367034 | + | 0.316816i | ||||
\(423\) | 1.60354 | − | 0.484136i | 0.0779666 | − | 0.0235395i | ||||
\(424\) | −0.0865654 | + | 0.104640i | −0.00420399 | + | 0.00508175i | ||||
\(425\) | −4.37830 | − | 9.30436i | −0.212379 | − | 0.451328i | ||||
\(426\) | 0.410849 | − | 0.873098i | 0.0199057 | − | 0.0423018i | ||||
\(427\) | 12.7113 | + | 15.3653i | 0.615144 | + | 0.743581i | ||||
\(428\) | 7.17156 | + | 4.76477i | 0.346650 | + | 0.230314i | ||||
\(429\) | 7.43220 | − | 11.7113i | 0.358830 | − | 0.565425i | ||||
\(430\) | −4.29473 | + | 40.8616i | −0.207110 | + | 1.97052i | ||||
\(431\) | 9.91997 | + | 26.6740i | 0.477828 | + | 1.28484i | 0.921405 | + | 0.388605i | \(0.127043\pi\) |
−0.443577 | + | 0.896236i | \(0.646291\pi\) | |||||||
\(432\) | 7.71654 | + | 18.3569i | 0.371262 | + | 0.883198i | ||||
\(433\) | 27.1442 | − | 3.42911i | 1.30447 | − | 0.164792i | 0.557791 | − | 0.829981i | \(-0.311649\pi\) |
0.746675 | + | 0.665189i | \(0.231649\pi\) | |||||||
\(434\) | −11.3162 | − | 8.22169i | −0.543195 | − | 0.394654i | ||||
\(435\) | −3.16651 | + | 4.55601i | −0.151823 | + | 0.218444i | ||||
\(436\) | 20.8553 | + | 12.6304i | 0.998787 | + | 0.604887i | ||||
\(437\) | 4.45042 | − | 4.94269i | 0.212893 | − | 0.236441i | ||||
\(438\) | 15.3188 | − | 1.28635i | 0.731959 | − | 0.0614643i | ||||
\(439\) | 6.68907 | + | 28.5190i | 0.319252 | + | 1.36114i | 0.855817 | + | 0.517278i | \(0.173055\pi\) |
−0.536566 | + | 0.843859i | \(0.680279\pi\) | |||||||
\(440\) | 1.18755 | + | 2.27158i | 0.0566143 | + | 0.108293i | ||||
\(441\) | −4.76534 | + | 4.86621i | −0.226921 | + | 0.231724i | ||||
\(442\) | −4.68110 | − | 31.7003i | −0.222657 | − | 1.50783i | ||||
\(443\) | −12.4268 | − | 1.04351i | −0.590416 | − | 0.0495786i | −0.215286 | − | 0.976551i | \(-0.569068\pi\) |
−0.375130 | + | 0.926972i | \(0.622402\pi\) | |||||||
\(444\) | −10.4051 | + | 9.77100i | −0.493802 | + | 0.463711i | ||||
\(445\) | 10.3897 | − | 7.54857i | 0.492520 | − | 0.357836i | ||||
\(446\) | 0.986555 | + | 47.0976i | 0.0467147 | + | 2.23014i | ||||
\(447\) | −3.88195 | + | 2.57916i | −0.183610 | + | 0.121990i | ||||
\(448\) | 12.8607 | + | 3.88286i | 0.607609 | + | 0.183448i | ||||
\(449\) | −29.1341 | + | 12.9713i | −1.37492 | + | 0.612154i | −0.955325 | − | 0.295557i | \(-0.904495\pi\) |
−0.419596 | + | 0.907711i | \(0.637828\pi\) | |||||||
\(450\) | −7.57759 | + | 3.00018i | −0.357211 | + | 0.141430i | ||||
\(451\) | −30.9092 | + | 6.56994i | −1.45546 | + | 0.309367i | ||||
\(452\) | −18.2829 | −0.859957 | ||||||||
\(453\) | −10.6105 | − | 3.05920i | −0.498525 | − | 0.143734i | ||||
\(454\) | 50.6670 | 2.37792 | ||||||||
\(455\) | 10.2204 | − | 2.17242i | 0.479141 | − | 0.101845i | ||||
\(456\) | 0.305711 | − | 0.121039i | 0.0143162 | − | 0.00566819i | ||||
\(457\) | −26.3436 | + | 11.7289i | −1.23230 | + | 0.548655i | −0.916448 | − | 0.400153i | \(-0.868957\pi\) |
−0.315852 | + | 0.948809i | \(0.602290\pi\) | |||||||
\(458\) | 34.6509 | + | 10.4617i | 1.61913 | + | 0.488844i | ||||
\(459\) | 21.1115 | − | 14.0265i | 0.985401 | − | 0.654699i | ||||
\(460\) | 0.352482 | + | 16.8273i | 0.0164346 | + | 0.784578i | ||||
\(461\) | −22.9909 | + | 16.7038i | −1.07079 | + | 0.777975i | −0.976054 | − | 0.217527i | \(-0.930201\pi\) |
−0.0947370 | + | 0.995502i | \(0.530201\pi\) | |||||||
\(462\) | 13.0406 | − | 12.2460i | 0.606705 | − | 0.569734i | ||||
\(463\) | 0.294460 | + | 0.0247265i | 0.0136847 | + | 0.00114914i | 0.0905182 | − | 0.995895i | \(-0.471148\pi\) |
−0.0768335 | + | 0.997044i | \(0.524481\pi\) | |||||||
\(464\) | 2.18365 | + | 14.7876i | 0.101373 | + | 0.686499i | ||||
\(465\) | 4.00090 | − | 4.08558i | 0.185537 | − | 0.189464i | ||||
\(466\) | −11.5869 | − | 22.1636i | −0.536751 | − | 1.02671i | ||||
\(467\) | 0.454926 | + | 1.93959i | 0.0210515 | + | 0.0897534i | 0.983070 | − | 0.183231i | \(-0.0586558\pi\) |
−0.962018 | + | 0.272985i | \(0.911989\pi\) | |||||||
\(468\) | −12.1808 | + | 1.02285i | −0.563060 | + | 0.0472814i | ||||
\(469\) | −15.8215 | + | 17.5716i | −0.730570 | + | 0.811380i | ||||
\(470\) | 2.26189 | + | 1.36985i | 0.104333 | + | 0.0631866i | ||||
\(471\) | −3.77229 | + | 5.42762i | −0.173818 | + | 0.250091i | ||||
\(472\) | −0.554278 | − | 0.402706i | −0.0255127 | − | 0.0185361i | ||||
\(473\) | 60.5076 | − | 7.64389i | 2.78214 | − | 0.351467i | ||||
\(474\) | −2.34951 | − | 5.58926i | −0.107916 | − | 0.256723i | ||||
\(475\) | 0.852998 | + | 2.29364i | 0.0391382 | + | 0.105240i | ||||
\(476\) | 2.07923 | − | 19.7826i | 0.0953015 | − | 0.906734i | ||||
\(477\) | 0.563657 | − | 0.888181i | 0.0258081 | − | 0.0406670i | ||||
\(478\) | −25.9914 | − | 17.2687i | −1.18882 | − | 0.789850i | ||||
\(479\) | −13.8776 | − | 16.7751i | −0.634082 | − | 0.766474i | 0.351405 | − | 0.936224i | \(-0.385704\pi\) |
−0.985487 | + | 0.169750i | \(0.945704\pi\) | |||||||
\(480\) | −5.26984 | + | 11.1990i | −0.240534 | + | 0.511161i | ||||
\(481\) | 10.9476 | + | 23.2648i | 0.499168 | + | 1.06079i | ||||
\(482\) | −28.7158 | + | 34.7115i | −1.30797 | + | 1.58107i | ||||
\(483\) | −8.73396 | + | 2.63694i | −0.397409 | + | 0.119985i | ||||
\(484\) | −21.6304 | + | 18.6708i | −0.983199 | + | 0.848675i | ||||
\(485\) | 4.59119 | − | 7.95217i | 0.208475 | − | 0.361089i | ||||
\(486\) | −15.8474 | − | 27.4486i | −0.718854 | − | 1.24509i | ||||
\(487\) | −6.06309 | − | 2.11139i | −0.274745 | − | 0.0956763i | 0.187996 | − | 0.982170i | \(-0.439801\pi\) |
−0.462741 | + | 0.886493i | \(0.653134\pi\) | |||||||
\(488\) | −0.769255 | + | 2.75516i | −0.0348226 | + | 0.124720i | ||||
\(489\) | 7.11020 | − | 16.9145i | 0.321534 | − | 0.764899i | ||||
\(490\) | −10.7429 | − | 0.450263i | −0.485317 | − | 0.0203408i | ||||
\(491\) | 38.6405 | + | 17.2038i | 1.74382 | + | 0.776399i | 0.993302 | + | 0.115548i | \(0.0368625\pi\) |
0.750518 | + | 0.660850i | \(0.229804\pi\) | |||||||
\(492\) | −7.76486 | − | 6.70244i | −0.350067 | − | 0.302170i | ||||
\(493\) | 17.9684 | − | 6.25728i | 0.809258 | − | 0.281813i | ||||
\(494\) | 0.478825 | + | 7.61070i | 0.0215433 | + | 0.342422i | ||||
\(495\) | −11.3315 | − | 16.3039i | −0.509312 | − | 0.732804i | ||||
\(496\) | 0.322638 | − | 15.4026i | 0.0144869 | − | 0.691597i | ||||
\(497\) | −0.578152 | − | 0.911021i | −0.0259336 | − | 0.0408649i | ||||
\(498\) | −11.2269 | + | 5.57310i | −0.503091 | + | 0.249737i | ||||
\(499\) | 1.09662 | + | 10.4337i | 0.0490916 | + | 0.467075i | 0.991259 | + | 0.131932i | \(0.0421180\pi\) |
−0.942167 | + | 0.335143i | \(0.891215\pi\) | |||||||
\(500\) | −20.1972 | − | 10.0260i | −0.903247 | − | 0.448376i | ||||
\(501\) | −0.736753 | + | 1.98107i | −0.0329157 | + | 0.0885077i | ||||
\(502\) | 1.64823 | − | 0.0690814i | 0.0735642 | − | 0.00308325i | ||||
\(503\) | 17.4629 | + | 6.91404i | 0.778631 | + | 0.308282i | 0.723615 | − | 0.690204i | \(-0.242479\pi\) |
0.0550156 | + | 0.998485i | \(0.482479\pi\) | |||||||
\(504\) | 1.20732 | + | 0.204203i | 0.0537785 | + | 0.00909595i | ||||
\(505\) | −24.7437 | − | 19.6116i | −1.10108 | − | 0.872705i | ||||
\(506\) | 50.2772 | − | 12.9090i | 2.23509 | − | 0.573874i | ||||
\(507\) | −0.815632 | + | 3.47747i | −0.0362235 | + | 0.154440i | ||||
\(508\) | 1.03566 | − | 7.01349i | 0.0459501 | − | 0.311173i | ||||
\(509\) | −17.8636 | − | 23.5345i | −0.791791 | − | 1.04315i | −0.997910 | − | 0.0646193i | \(-0.979417\pi\) |
0.206119 | − | 0.978527i | \(-0.433917\pi\) | |||||||
\(510\) | 16.3647 | + | 4.20174i | 0.724641 | + | 0.186056i | ||||
\(511\) | 7.96394 | − | 15.2336i | 0.352304 | − | 0.673895i | ||||
\(512\) | 9.55771 | + | 29.4156i | 0.422395 | + | 1.30000i | ||||
\(513\) | −5.28575 | + | 2.90586i | −0.233371 | + | 0.128297i | ||||
\(514\) | −40.0991 | + | 31.7822i | −1.76870 | + | 1.40185i | ||||
\(515\) | 10.0195 | − | 13.2003i | 0.441514 | − | 0.581673i | ||||
\(516\) | 13.8514 | + | 14.1446i | 0.609776 | + | 0.622683i | ||||
\(517\) | 1.21297 | − | 3.73315i | 0.0533465 | − | 0.164184i | ||||
\(518\) | 6.21381 | + | 32.5739i | 0.273019 | + | 1.43122i | ||||
\(519\) | −13.5103 | − | 15.0047i | −0.593035 | − | 0.658632i | ||||
\(520\) | 1.09260 | + | 1.02602i | 0.0479135 | + | 0.0449938i | ||||
\(521\) | 9.84722 | + | 1.24399i | 0.431414 | + | 0.0545003i | 0.338042 | − | 0.941131i | \(-0.390235\pi\) |
0.0933723 | + | 0.995631i | \(0.470235\pi\) | |||||||
\(522\) | −4.05527 | − | 14.5243i | −0.177494 | − | 0.635713i | ||||
\(523\) | 0.238314 | − | 3.78790i | 0.0104208 | − | 0.165633i | −0.989374 | − | 0.145391i | \(-0.953556\pi\) |
0.999795 | − | 0.0202427i | \(-0.00644389\pi\) | |||||||
\(524\) | 18.7226 | − | 11.3388i | 0.817902 | − | 0.495339i | ||||
\(525\) | 0.628993 | − | 3.29730i | 0.0274515 | − | 0.143906i | ||||
\(526\) | −18.1025 | − | 9.95194i | −0.789307 | − | 0.433925i | ||||
\(527\) | −19.3351 | + | 3.27029i | −0.842250 | + | 0.142456i | ||||
\(528\) | 19.2726 | + | 4.09652i | 0.838733 | + | 0.178278i | ||||
\(529\) | −3.39681 | − | 0.722014i | −0.147687 | − | 0.0313919i | ||||
\(530\) | 1.63744 | − | 0.276952i | 0.0711258 | − | 0.0120300i | ||||
\(531\) | 4.65051 | + | 2.55664i | 0.201815 | + | 0.110949i | ||||
\(532\) | −0.887012 | + | 4.64988i | −0.0384569 | + | 0.201598i | ||||
\(533\) | −15.8048 | + | 9.57176i | −0.684584 | + | 0.414599i | ||||
\(534\) | 0.807275 | − | 12.8313i | 0.0349342 | − | 0.555263i | ||||
\(535\) | 2.19915 | + | 7.87646i | 0.0950774 | + | 0.340529i | ||||
\(536\) | −3.36500 | − | 0.425098i | −0.145346 | − | 0.0183614i | ||||
\(537\) | −14.2790 | − | 13.4089i | −0.616184 | − | 0.578635i | ||||
\(538\) | 31.9758 | + | 35.5127i | 1.37857 | + | 1.53106i | ||||
\(539\) | 2.99074 | + | 15.6780i | 0.128820 | + | 0.675299i | ||||
\(540\) | 4.71685 | − | 14.5170i | 0.202981 | − | 0.624711i | ||||
\(541\) | −30.0258 | − | 30.6614i | −1.29091 | − | 1.31824i | −0.921201 | − | 0.389088i | \(-0.872790\pi\) |
−0.369711 | − | 0.929147i | \(-0.620543\pi\) | |||||||
\(542\) | 20.1476 | − | 26.5434i | 0.865412 | − | 1.14014i | ||||
\(543\) | −7.42687 | + | 5.88646i | −0.318717 | + | 0.252612i | ||||
\(544\) | 37.1939 | − | 20.4475i | 1.59467 | − | 0.876680i | ||||
\(545\) | 7.15599 | + | 22.0239i | 0.306529 | + | 0.943398i | ||||
\(546\) | 4.84624 | − | 9.27000i | 0.207400 | − | 0.396720i | ||||
\(547\) | 29.5436 | + | 7.58550i | 1.26319 | + | 0.324333i | 0.820140 | − | 0.572163i | \(-0.193896\pi\) |
0.443053 | + | 0.896496i | \(0.353896\pi\) | |||||||
\(548\) | −11.8343 | − | 15.5911i | −0.505537 | − | 0.666021i | ||||
\(549\) | 3.23684 | − | 21.9199i | 0.138145 | − | 0.935517i | ||||
\(550\) | −4.36116 | + | 18.5939i | −0.185960 | + | 0.792846i | ||||
\(551\) | −4.38568 | + | 1.12605i | −0.186836 | + | 0.0479714i | ||||
\(552\) | −1.02562 | − | 0.812896i | −0.0436532 | − | 0.0345991i | ||||
\(553\) | −6.68471 | − | 1.13063i | −0.284263 | − | 0.0480794i | ||||
\(554\) | 41.9849 | + | 16.6230i | 1.78377 | + | 0.706244i | ||||
\(555\) | −13.5449 | + | 0.567701i | −0.574950 | + | 0.0240975i | ||||
\(556\) | 9.53480 | − | 25.6383i | 0.404366 | − | 1.08731i | ||||
\(557\) | −0.221098 | − | 0.109754i | −0.00936820 | − | 0.00465042i | 0.439945 | − | 0.898025i | \(-0.354998\pi\) |
−0.449313 | + | 0.893374i | \(0.648331\pi\) | |||||||
\(558\) | 1.62457 | + | 15.4567i | 0.0687733 | + | 0.654335i | ||||
\(559\) | 31.9428 | − | 15.8565i | 1.35104 | − | 0.670660i | ||||
\(560\) | 7.95304 | + | 12.5320i | 0.336077 | + | 0.529573i | ||||
\(561\) | 0.525225 | − | 25.0740i | 0.0221750 | − | 1.05862i | ||||
\(562\) | −23.9654 | − | 34.4817i | −1.01092 | − | 1.45452i | ||||
\(563\) | −2.80763 | − | 44.6260i | −0.118327 | − | 1.88076i | −0.393443 | − | 0.919349i | \(-0.628716\pi\) |
0.275116 | − | 0.961411i | \(-0.411284\pi\) | |||||||
\(564\) | 1.20329 | − | 0.419031i | 0.0506678 | − | 0.0176444i | ||||
\(565\) | −13.1450 | − | 11.3465i | −0.553015 | − | 0.477349i | ||||
\(566\) | −45.3019 | − | 20.1697i | −1.90418 | − | 0.847797i | ||||
\(567\) | −4.70016 | − | 0.196995i | −0.197388 | − | 0.00827302i | ||||
\(568\) | 0.0599780 | − | 0.142682i | 0.00251662 | − | 0.00598681i | ||||
\(569\) | 4.03104 | − | 14.4375i | 0.168990 | − | 0.605253i | −0.829890 | − | 0.557927i | \(-0.811597\pi\) |
0.998880 | − | 0.0473259i | \(-0.0150699\pi\) | |||||||
\(570\) | −3.79709 | − | 1.32229i | −0.159043 | − | 0.0553845i | ||||
\(571\) | −6.07462 | − | 10.5216i | −0.254215 | − | 0.440313i | 0.710467 | − | 0.703731i | \(-0.248484\pi\) |
−0.964682 | + | 0.263417i | \(0.915150\pi\) | |||||||
\(572\) | −14.3225 | + | 24.8074i | −0.598855 | + | 1.03725i | ||||
\(573\) | 3.69446 | − | 3.18897i | 0.154338 | − | 0.133221i | ||||
\(574\) | −22.8136 | + | 6.88782i | −0.952220 | + | 0.287492i | ||||
\(575\) | 6.20857 | − | 7.50487i | 0.258915 | − | 0.312975i | ||||
\(576\) | −6.35552 | − | 13.5062i | −0.264813 | − | 0.562757i | ||||
\(577\) | −7.84755 | + | 16.6769i | −0.326698 | + | 0.694268i | −0.998938 | − | 0.0460644i | \(-0.985332\pi\) |
0.672241 | + | 0.740333i | \(0.265332\pi\) | |||||||
\(578\) | −15.6536 | − | 18.9220i | −0.651104 | − | 0.787049i | ||||
\(579\) | −2.73184 | − | 1.81503i | −0.113531 | − | 0.0754301i | ||||
\(580\) | 6.13966 | − | 9.67455i | 0.254935 | − | 0.401714i | ||||
\(581\) | −1.46503 | + | 13.9388i | −0.0607798 | + | 0.578281i | ||||
\(582\) | −3.20427 | − | 8.61602i | −0.132821 | − | 0.357146i | ||||
\(583\) | −0.955271 | − | 2.27250i | −0.0395633 | − | 0.0941173i | ||||
\(584\) | 2.44634 | − | 0.309045i | 0.101230 | − | 0.0127884i | ||||
\(585\) | −9.39253 | − | 6.82407i | −0.388333 | − | 0.282141i | ||||
\(586\) | −2.29613 | + | 3.30369i | −0.0948521 | + | 0.136474i | ||||
\(587\) | −30.1857 | − | 18.2811i | −1.24590 | − | 0.754542i | −0.267957 | − | 0.963431i | \(-0.586349\pi\) |
−0.977939 | + | 0.208889i | \(0.933015\pi\) | |||||||
\(588\) | −3.46673 | + | 3.85020i | −0.142966 | + | 0.158780i | ||||
\(589\) | 4.65029 | − | 0.390496i | 0.191612 | − | 0.0160901i | ||||
\(590\) | 1.91314 | + | 8.15670i | 0.0787626 | + | 0.335806i | ||||
\(591\) | 9.67853 | + | 18.5133i | 0.398122 | + | 0.761536i | ||||
\(592\) | −25.5545 | + | 26.0954i | −1.05028 | + | 1.07251i | ||||
\(593\) | −3.71790 | − | 25.1776i | −0.152676 | − | 1.03392i | −0.919791 | − | 0.392410i | \(-0.871642\pi\) |
0.767115 | − | 0.641510i | \(-0.221692\pi\) | |||||||
\(594\) | −46.9103 | − | 3.93917i | −1.92475 | − | 0.161626i | ||||
\(595\) | 13.7721 | − | 12.9328i | 0.564600 | − | 0.530195i | ||||
\(596\) | 7.78683 | − | 5.65747i | 0.318961 | − | 0.231739i | ||||
\(597\) | −0.249753 | − | 11.9231i | −0.0102217 | − | 0.487979i | ||||
\(598\) | 25.2810 | − | 16.7967i | 1.03382 | − | 0.686867i | ||||
\(599\) | −3.14008 | − | 0.948047i | −0.128300 | − | 0.0387362i | 0.224232 | − | 0.974536i | \(-0.428013\pi\) |
−0.352532 | + | 0.935800i | \(0.614679\pi\) | |||||||
\(600\) | 0.439881 | − | 0.195848i | 0.0179581 | − | 0.00799545i | ||||
\(601\) | −7.88754 | + | 3.12290i | −0.321739 | + | 0.127386i | −0.523442 | − | 0.852061i | \(-0.675352\pi\) |
0.201703 | + | 0.979447i | \(0.435352\pi\) | |||||||
\(602\) | 44.9890 | − | 9.56271i | 1.83361 | − | 0.389747i | ||||
\(603\) | 26.2723 | 1.06989 | ||||||||
\(604\) | 22.1579 | + | 5.39463i | 0.901593 | + | 0.219504i | ||||
\(605\) | −27.1389 | −1.10336 | ||||||||
\(606\) | −30.9175 | + | 6.57171i | −1.25594 | + | 0.266958i | ||||
\(607\) | 9.72713 | − | 3.85124i | 0.394812 | − | 0.156317i | −0.162326 | − | 0.986737i | \(-0.551900\pi\) |
0.557138 | + | 0.830420i | \(0.311900\pi\) | |||||||
\(608\) | −9.22742 | + | 4.10831i | −0.374221 | + | 0.166614i | ||||
\(609\) | 5.94594 | + | 1.79519i | 0.240942 | + | 0.0727446i | ||||
\(610\) | 29.1357 | − | 19.3577i | 1.17967 | − | 0.783771i | ||||
\(611\) | −0.0480675 | − | 2.29472i | −0.00194460 | − | 0.0928345i | ||||
\(612\) | −17.8808 | + | 12.9911i | −0.722788 | + | 0.525136i | ||||
\(613\) | 11.3234 | − | 10.6333i | 0.457347 | − | 0.429477i | −0.421321 | − | 0.906912i | \(-0.638433\pi\) |
0.878667 | + | 0.477435i | \(0.158433\pi\) | |||||||
\(614\) | 37.4989 | + | 3.14887i | 1.51333 | + | 0.127078i | ||||
\(615\) | −1.42319 | − | 9.63781i | −0.0573885 | − | 0.388634i | ||||
\(616\) | 2.00763 | − | 2.05013i | 0.0808899 | − | 0.0826020i | ||||
\(617\) | −7.36053 | − | 14.0794i | −0.296324 | − | 0.566815i | 0.691503 | − | 0.722374i | \(-0.256949\pi\) |
−0.987827 | + | 0.155559i | \(0.950282\pi\) | |||||||
\(618\) | −3.78848 | − | 16.1522i | −0.152395 | − | 0.649739i | ||||
\(619\) | −21.3508 | + | 1.79287i | −0.858160 | + | 0.0720617i | −0.504603 | − | 0.863351i | \(-0.668361\pi\) |
−0.353557 | + | 0.935413i | \(0.615028\pi\) | |||||||
\(620\) | −7.90199 | + | 8.77605i | −0.317352 | + | 0.352455i | ||||
\(621\) | 20.5357 | + | 12.4369i | 0.824069 | + | 0.499074i | ||||
\(622\) | 0.763522 | − | 1.09856i | 0.0306145 | − | 0.0440484i | ||||
\(623\) | −11.6307 | − | 8.45017i | −0.465973 | − | 0.338549i | ||||
\(624\) | 11.4302 | − | 1.44397i | 0.457575 | − | 0.0578052i | ||||
\(625\) | −4.63121 | − | 11.0172i | −0.185248 | − | 0.440689i | ||||
\(626\) | 9.02262 | + | 24.2611i | 0.360616 | + | 0.969668i | ||||
\(627\) | −0.623861 | + | 5.93564i | −0.0249146 | + | 0.237047i | ||||
\(628\) | 7.31423 | − | 11.5254i | 0.291870 | − | 0.459913i | ||||
\(629\) | 38.7226 | + | 25.7272i | 1.54397 | + | 1.02581i | ||||
\(630\) | −9.54444 | − | 11.5373i | −0.380260 | − | 0.459655i | ||||
\(631\) | −7.48746 | + | 15.9117i | −0.298071 | + | 0.633433i | −0.996622 | − | 0.0821271i | \(-0.973829\pi\) |
0.698551 | + | 0.715561i | \(0.253829\pi\) | |||||||
\(632\) | −0.414074 | − | 0.879951i | −0.0164710 | − | 0.0350026i | ||||
\(633\) | −2.90553 | + | 3.51218i | −0.115484 | + | 0.139597i | ||||
\(634\) | −8.59881 | + | 2.59613i | −0.341502 | + | 0.103106i | ||||
\(635\) | 5.09722 | − | 4.39980i | 0.202277 | − | 0.174601i | ||||
\(636\) | 0.400097 | − | 0.692988i | 0.0158649 | − | 0.0274788i | ||||
\(637\) | 4.66636 | + | 8.08238i | 0.184888 | + | 0.320235i | ||||
\(638\) | −33.3725 | − | 11.6215i | −1.32123 | − | 0.460101i | ||||
\(639\) | −0.322404 | + | 1.15472i | −0.0127541 | + | 0.0456800i | ||||
\(640\) | −1.54266 | + | 3.66984i | −0.0609789 | + | 0.145063i | ||||
\(641\) | 36.5718 | + | 1.53281i | 1.44450 | + | 0.0605425i | 0.751185 | − | 0.660092i | \(-0.229483\pi\) |
0.693315 | + | 0.720634i | \(0.256149\pi\) | |||||||
\(642\) | 7.47899 | + | 3.32986i | 0.295172 | + | 0.131419i | ||||
\(643\) | 1.74907 | + | 1.50976i | 0.0689766 | + | 0.0595390i | 0.687230 | − | 0.726439i | \(-0.258826\pi\) |
−0.618254 | + | 0.785979i | \(0.712160\pi\) | |||||||
\(644\) | 17.7933 | − | 6.19628i | 0.701154 | − | 0.244168i | ||||
\(645\) | 1.18065 | + | 18.7659i | 0.0464881 | + | 0.738908i | ||||
\(646\) | 7.86913 | + | 11.3222i | 0.309607 | + | 0.445466i | ||||
\(647\) | −0.566975 | + | 27.0671i | −0.0222901 | + | 1.06412i | 0.835303 | + | 0.549789i | \(0.185292\pi\) |
−0.857594 | + | 0.514328i | \(0.828041\pi\) | |||||||
\(648\) | −0.361580 | − | 0.569758i | −0.0142042 | − | 0.0223822i | ||||
\(649\) | 11.1393 | − | 5.52961i | 0.437257 | − | 0.217056i | ||||
\(650\) | 1.16732 | + | 11.1063i | 0.0457861 | + | 0.435625i | ||||
\(651\) | −5.73374 | − | 2.84625i | −0.224723 | − | 0.111553i | ||||
\(652\) | −13.2081 | + | 35.5156i | −0.517271 | + | 1.39090i | ||||
\(653\) | −49.0549 | + | 2.05601i | −1.91967 | + | 0.0804579i | −0.971461 | − | 0.237198i | \(-0.923771\pi\) |
−0.948206 | + | 0.317656i | \(0.897104\pi\) | |||||||
\(654\) | 21.5550 | + | 8.53421i | 0.842865 | + | 0.333714i | ||||
\(655\) | 20.4981 | + | 3.46699i | 0.800925 | + | 0.135466i | ||||
\(656\) | −20.5697 | − | 16.3034i | −0.803114 | − | 0.636540i | ||||
\(657\) | −18.4998 | + | 4.74993i | −0.721745 | + | 0.185313i | ||||
\(658\) | 0.675966 | − | 2.88200i | 0.0263519 | − | 0.112352i | ||||
\(659\) | −4.21121 | + | 28.5182i | −0.164045 | + | 1.11091i | 0.736591 | + | 0.676339i | \(0.236434\pi\) |
−0.900636 | + | 0.434574i | \(0.856899\pi\) | |||||||
\(660\) | −9.13147 | − | 12.0303i | −0.355442 | − | 0.468277i | ||||
\(661\) | −26.7282 | − | 6.86263i | −1.03960 | − | 0.266925i | −0.309959 | − | 0.950750i | \(-0.600315\pi\) |
−0.729646 | + | 0.683825i | \(0.760315\pi\) | |||||||
\(662\) | −32.1173 | + | 61.4347i | −1.24827 | + | 2.38773i | ||||
\(663\) | −4.53166 | − | 13.9470i | −0.175995 | − | 0.541657i | ||||
\(664\) | −1.76179 | + | 0.968553i | −0.0683707 | + | 0.0375871i | ||||
\(665\) | −3.52348 | + | 2.79267i | −0.136635 | + | 0.108295i | ||||
\(666\) | 22.2771 | − | 29.3490i | 0.863221 | − | 1.13725i | ||||
\(667\) | 12.6095 | + | 12.8764i | 0.488241 | + | 0.498575i | ||||
\(668\) | 1.34887 | − | 4.15138i | 0.0521892 | − | 0.160622i | ||||
\(669\) | 4.03969 | + | 21.1768i | 0.156183 | + | 0.818742i | ||||
\(670\) | 27.7528 | + | 30.8227i | 1.07219 | + | 1.19078i | ||||
\(671\) | −37.8510 | − | 35.5445i | −1.46122 | − | 1.37218i | ||||
\(672\) | 13.7460 | + | 1.73652i | 0.530263 | + | 0.0669878i | ||||
\(673\) | 1.77356 | + | 6.35218i | 0.0683658 | + | 0.244859i | 0.989533 | − | 0.144309i | \(-0.0460960\pi\) |
−0.921167 | + | 0.389168i | \(0.872763\pi\) | |||||||
\(674\) | 2.45831 | − | 39.0737i | 0.0946904 | − | 1.50506i | ||||
\(675\) | −7.55569 | + | 4.57589i | −0.290819 | + | 0.176126i | ||||
\(676\) | 1.38221 | − | 7.24581i | 0.0531620 | − | 0.278685i | ||||
\(677\) | −20.1986 | − | 11.1043i | −0.776294 | − | 0.426771i | 0.0437708 | − | 0.999042i | \(-0.486063\pi\) |
−0.820065 | + | 0.572270i | \(0.806063\pi\) | |||||||
\(678\) | −17.1405 | + | 2.89911i | −0.658279 | + | 0.111339i | ||||
\(679\) | −10.0545 | − | 2.13715i | −0.385856 | − | 0.0820163i | ||||
\(680\) | 2.65082 | + | 0.563450i | 0.101654 | + | 0.0216073i | ||||
\(681\) | 22.8627 | − | 3.86694i | 0.876101 | − | 0.148181i | ||||
\(682\) | 31.9158 | + | 17.5459i | 1.22212 | + | 0.671866i | ||||
\(683\) | −1.79467 | + | 9.40799i | −0.0686712 | + | 0.359987i | −0.999991 | − | 0.00421522i | \(-0.998658\pi\) |
0.931320 | + | 0.364202i | \(0.118658\pi\) | |||||||
\(684\) | 4.49898 | − | 2.72468i | 0.172023 | − | 0.104181i | ||||
\(685\) | 1.16733 | − | 18.5541i | 0.0446012 | − | 0.708916i | ||||
\(686\) | 10.5306 | + | 37.7164i | 0.402061 | + | 1.44002i | ||||
\(687\) | 16.4341 | + | 2.07611i | 0.627000 | + | 0.0792086i | ||||
\(688\) | 36.9281 | + | 34.6778i | 1.40787 | + | 1.32208i | ||||
\(689\) | −0.964505 | − | 1.07119i | −0.0367447 | − | 0.0408092i | ||||
\(690\) | 2.99875 | + | 15.7200i | 0.114160 | + | 0.598450i | ||||
\(691\) | 3.14464 | − | 9.67821i | 0.119628 | − | 0.368176i | −0.873256 | − | 0.487261i | \(-0.837996\pi\) |
0.992884 | + | 0.119085i | \(0.0379960\pi\) | |||||||
\(692\) | 29.1742 | + | 29.7917i | 1.10904 | + | 1.13251i | ||||
\(693\) | −13.4381 | + | 17.7040i | −0.510470 | + | 0.672520i | ||||
\(694\) | −28.3758 | + | 22.4904i | −1.07713 | + | 0.853724i | ||||
\(695\) | 22.7665 | − | 12.5160i | 0.863584 | − | 0.474759i | ||||
\(696\) | 0.275316 | + | 0.847336i | 0.0104358 | + | 0.0321182i | ||||
\(697\) | −15.4783 | + | 29.6073i | −0.586283 | + | 1.12146i | ||||
\(698\) | 20.4001 | + | 5.23786i | 0.772156 | + | 0.198256i | ||||
\(699\) | −6.91994 | − | 9.11668i | −0.261736 | − | 0.344824i | ||||
\(700\) | −1.01269 | + | 6.85792i | −0.0382760 | + | 0.259205i | ||||
\(701\) | 0.447796 | − | 1.90919i | 0.0169130 | − | 0.0721090i | −0.964455 | − | 0.264249i | \(-0.914876\pi\) |
0.981368 | + | 0.192140i | \(0.0615427\pi\) | |||||||
\(702\) | −26.6617 | + | 6.84555i | −1.00628 | + | 0.258369i | ||||
\(703\) | −8.67044 | − | 6.87211i | −0.327012 | − | 0.259186i | ||||
\(704\) | −34.4896 | − | 5.83348i | −1.29988 | − | 0.219858i | ||||
\(705\) | 1.12519 | + | 0.445495i | 0.0423772 | + | 0.0167783i | ||||
\(706\) | −37.5195 | + | 1.57253i | −1.41207 | + | 0.0591831i | ||||
\(707\) | −12.3200 | + | 33.1276i | −0.463342 | + | 1.24589i | ||||
\(708\) | 3.61590 | + | 1.79495i | 0.135894 | + | 0.0674584i | ||||
\(709\) | 1.16234 | + | 11.0590i | 0.0436527 | + | 0.415328i | 0.994426 | + | 0.105440i | \(0.0336250\pi\) |
−0.950773 | + | 0.309888i | \(0.899708\pi\) | |||||||
\(710\) | −1.69529 | + | 0.841551i | −0.0636232 | + | 0.0315828i | ||||
\(711\) | 4.03638 | + | 6.36031i | 0.151376 | + | 0.238530i | ||||
\(712\) | 0.0431876 | − | 2.06176i | 0.00161853 | − | 0.0772676i | ||||
\(713\) | −10.6006 | − | 15.2523i | −0.396997 | − | 0.571204i | ||||
\(714\) | −1.18759 | − | 18.8762i | −0.0444444 | − | 0.706424i | ||||
\(715\) | −25.6931 | + | 8.94729i | −0.960868 | + | 0.334610i | ||||
\(716\) | 30.6224 | + | 26.4325i | 1.14441 | + | 0.987830i | ||||
\(717\) | −13.0462 | − | 5.80853i | −0.487218 | − | 0.216924i | ||||
\(718\) | 15.3123 | + | 0.641774i | 0.571449 | + | 0.0239508i | ||||
\(719\) | 5.61292 | − | 13.3526i | 0.209327 | − | 0.497968i | −0.782939 | − | 0.622098i | \(-0.786281\pi\) |
0.992266 | + | 0.124130i | \(0.0396139\pi\) | |||||||
\(720\) | 4.43498 | − | 15.8843i | 0.165282 | − | 0.591973i | ||||
\(721\) | −17.5197 | − | 6.10100i | −0.652468 | − | 0.227213i | ||||
\(722\) | 17.0139 | + | 29.4689i | 0.633191 | + | 1.09672i | ||||
\(723\) | −10.3084 | + | 17.8546i | −0.383373 | + | 0.664021i | ||||
\(724\) | 14.8153 | − | 12.7882i | 0.550605 | − | 0.475270i | ||||
\(725\) | −6.34790 | + | 1.91654i | −0.235755 | + | 0.0711786i | ||||
\(726\) | −17.3182 | + | 20.9341i | −0.642739 | + | 0.776938i | ||||
\(727\) | 8.55861 | + | 18.1880i | 0.317421 | + | 0.674555i | 0.998327 | − | 0.0578162i | \(-0.0184137\pi\) |
−0.680906 | + | 0.732371i | \(0.738414\pi\) | |||||||
\(728\) | 0.714391 | − | 1.51816i | 0.0264771 | − | 0.0562667i | ||||
\(729\) | −4.68673 | − | 5.66528i | −0.173583 | − | 0.209825i | ||||
\(730\) | −25.1150 | − | 16.6863i | −0.929547 | − | 0.617589i | ||||
\(731\) | 34.5505 | − | 54.4430i | 1.27790 | − | 2.01365i | ||||
\(732\) | 1.76182 | − | 16.7626i | 0.0651187 | − | 0.619563i | ||||
\(733\) | −8.70055 | − | 23.3951i | −0.321362 | − | 0.864117i | −0.992440 | − | 0.122730i | \(-0.960835\pi\) |
0.671078 | − | 0.741387i | \(-0.265832\pi\) | |||||||
\(734\) | −12.2696 | − | 29.1883i | −0.452881 | − | 1.07736i | ||||
\(735\) | −4.88195 | + | 0.616734i | −0.180074 | + | 0.0227486i | ||||
\(736\) | 32.5249 | + | 23.6307i | 1.19888 | + | 0.871039i | ||||
\(737\) | 35.1368 | − | 50.5552i | 1.29428 | − | 1.86223i | ||||
\(738\) | 22.6489 | + | 13.7167i | 0.833718 | + | 0.504918i | ||||
\(739\) | 17.9419 | − | 19.9265i | 0.660004 | − | 0.733008i | −0.316480 | − | 0.948599i | \(-0.602501\pi\) |
0.976484 | + | 0.215591i | \(0.0691677\pi\) | |||||||
\(740\) | 27.8990 | − | 2.34275i | 1.02559 | − | 0.0861211i | ||||
\(741\) | 0.796916 | + | 3.39767i | 0.0292754 | + | 0.124816i | ||||
\(742\) | −0.861290 | − | 1.64750i | −0.0316190 | − | 0.0604815i | ||||
\(743\) | 23.8591 | − | 24.3641i | 0.875304 | − | 0.893831i | −0.119787 | − | 0.992800i | \(-0.538221\pi\) |
0.995091 | + | 0.0989688i | \(0.0315544\pi\) | |||||||
\(744\) | −0.134139 | − | 0.908388i | −0.00491777 | − | 0.0333031i | ||||
\(745\) | 9.10960 | + | 0.764955i | 0.333750 | + | 0.0280258i | ||||
\(746\) | −3.96648 | + | 3.72477i | −0.145223 | + | 0.136374i | ||||
\(747\) | 12.5988 | − | 9.15359i | 0.460967 | − | 0.334912i | ||||
\(748\) | 1.08468 | + | 51.7822i | 0.0396599 | + | 1.89334i | ||||
\(749\) | 7.62494 | − | 5.06600i | 0.278609 | − | 0.185108i | ||||
\(750\) | −20.5250 | − | 6.19687i | −0.749467 | − | 0.226278i | ||||
\(751\) | −26.4944 | + | 11.7961i | −0.966795 | + | 0.430445i | −0.828527 | − | 0.559950i | \(-0.810820\pi\) |
−0.138269 | + | 0.990395i | \(0.544154\pi\) | |||||||
\(752\) | 3.03143 | − | 1.20023i | 0.110545 | − | 0.0437678i | ||||
\(753\) | 0.738467 | − | 0.156966i | 0.0269112 | − | 0.00572016i | ||||
\(754\) | −20.6633 | −0.752514 | ||||||||
\(755\) | 12.5831 | + | 17.6299i | 0.457946 | + | 0.641618i | ||||
\(756\) | −17.0872 | −0.621456 | ||||||||
\(757\) | −1.80663 | + | 0.384012i | −0.0656632 | + | 0.0139571i | −0.240626 | − | 0.970618i | \(-0.577353\pi\) |
0.174963 | + | 0.984575i | \(0.444019\pi\) | |||||||
\(758\) | −19.1908 | + | 7.59819i | −0.697043 | + | 0.275979i | ||||
\(759\) | 21.7016 | − | 9.66216i | 0.787717 | − | 0.350714i | ||||
\(760\) | −0.617402 | − | 0.186405i | −0.0223955 | − | 0.00676161i | ||||
\(761\) | 25.1118 | − | 16.6843i | 0.910303 | − | 0.604804i | −0.00830844 | − | 0.999965i | \(-0.502645\pi\) |
0.918612 | + | 0.395161i | \(0.129311\pi\) | |||||||
\(762\) | −0.141172 | − | 6.73948i | −0.00511412 | − | 0.244146i | ||||
\(763\) | 20.9723 | − | 15.2373i | 0.759248 | − | 0.551626i | ||||
\(764\) | −7.34723 | + | 6.89951i | −0.265814 | + | 0.249616i | ||||
\(765\) | −20.9182 | − | 1.75655i | −0.756300 | − | 0.0635083i | ||||
\(766\) | −0.993512 | − | 6.72805i | −0.0358970 | − | 0.243094i | ||||
\(767\) | 5.08788 | − | 5.19557i | 0.183713 | − | 0.187601i | ||||
\(768\) | 7.51548 | + | 14.3758i | 0.271192 | + | 0.518742i | ||||
\(769\) | 7.02752 | + | 29.9620i | 0.253419 | + | 1.08046i | 0.936653 | + | 0.350258i | \(0.113906\pi\) |
−0.683235 | + | 0.730199i | \(0.739427\pi\) | |||||||
\(770\) | −34.9658 | + | 2.93616i | −1.26008 | + | 0.105812i | ||||
\(771\) | −15.6685 | + | 17.4016i | −0.564286 | + | 0.626703i | ||||
\(772\) | 5.79375 | + | 3.50882i | 0.208522 | + | 0.126285i | ||||
\(773\) | 0.781449 | − | 1.12436i | 0.0281068 | − | 0.0404403i | −0.806847 | − | 0.590761i | \(-0.798828\pi\) |
0.834954 | + | 0.550320i | \(0.185494\pi\) | |||||||
\(774\) | −41.3447 | − | 30.0387i | −1.48610 | − | 1.07972i | ||||
\(775\) | 6.78017 | − | 0.856535i | 0.243551 | − | 0.0307676i | ||||
\(776\) | −0.571388 | − | 1.35928i | −0.0205116 | − | 0.0487952i | ||||
\(777\) | 5.28995 | + | 14.2242i | 0.189776 | + | 0.510292i | ||||
\(778\) | 4.71912 | − | 44.8995i | 0.169189 | − | 1.60972i | ||||
\(779\) | 4.26014 | − | 6.71291i | 0.152635 | − | 0.240515i | ||||
\(780\) | −7.35586 | − | 4.88722i | −0.263382 | − | 0.174991i | ||||
\(781\) | 1.79082 | + | 2.16473i | 0.0640807 | + | 0.0774602i | ||||
\(782\) | 23.3669 | − | 49.6571i | 0.835598 | − | 1.77574i | ||||
\(783\) | −6.95909 | − | 14.7888i | −0.248697 | − | 0.528509i | ||||
\(784\) | −8.45046 | + | 10.2149i | −0.301802 | + | 0.364816i | ||||
\(785\) | 12.4115 | − | 3.74724i | 0.442984 | − | 0.133745i | ||||
\(786\) | 15.7548 | − | 13.5992i | 0.561954 | − | 0.485066i | ||||
\(787\) | 10.6981 | − | 18.5297i | 0.381347 | − | 0.660513i | −0.609908 | − | 0.792472i | \(-0.708794\pi\) |
0.991255 | + | 0.131959i | \(0.0421269\pi\) | |||||||
\(788\) | −21.5714 | − | 37.3627i | −0.768448 | − | 1.33099i | ||||
\(789\) | −8.92801 | − | 3.10906i | −0.317846 | − | 0.110686i | ||||
\(790\) | −3.19808 | + | 11.4542i | −0.113783 | + | 0.407524i | ||||
\(791\) | −7.53283 | + | 17.9199i | −0.267837 | + | 0.637158i | ||||
\(792\) | −3.18548 | − | 0.133511i | −0.113191 | − | 0.00474411i | ||||
\(793\) | −27.7367 | − | 12.3492i | −0.984961 | − | 0.438533i | ||||
\(794\) | 19.1593 | + | 16.5379i | 0.679938 | + | 0.586907i | ||||
\(795\) | 0.717731 | − | 0.249941i | 0.0254553 | − | 0.00886448i | ||||
\(796\) | 1.54645 | + | 24.5801i | 0.0548124 | + | 0.871218i | ||||
\(797\) | −1.92501 | − | 2.76972i | −0.0681872 | − | 0.0981085i | 0.785589 | − | 0.618749i | \(-0.212360\pi\) |
−0.853776 | + | 0.520640i | \(0.825693\pi\) | |||||||
\(798\) | −0.0942614 | + | 4.49999i | −0.00333682 | + | 0.159298i | ||||
\(799\) | −2.22370 | − | 3.50398i | −0.0786687 | − | 0.123962i | ||||
\(800\) | −13.2492 | + | 6.57698i | −0.468432 | + | 0.232531i | ||||
\(801\) | 1.66971 | + | 15.8862i | 0.0589964 | + | 0.561313i | ||||
\(802\) | −7.86151 | − | 3.90249i | −0.277599 | − | 0.137802i | ||||
\(803\) | −15.6016 | + | 41.9514i | −0.550568 | + | 1.48043i | ||||
\(804\) | 19.9674 | − | 0.836880i | 0.704194 | − | 0.0295145i | ||||
\(805\) | 16.6384 | + | 6.58761i | 0.586427 | + | 0.232183i | ||||
\(806\) | 20.9982 | + | 3.55157i | 0.739628 | + | 0.125099i | ||||
\(807\) | 17.1389 | + | 13.5842i | 0.603319 | + | 0.478185i | ||||
\(808\) | −4.91068 | + | 1.26085i | −0.172757 | + | 0.0443565i | ||||
\(809\) | −3.42688 | + | 14.6106i | −0.120483 | + | 0.513680i | 0.878848 | + | 0.477101i | \(0.158313\pi\) |
−0.999331 | + | 0.0365786i | \(0.988354\pi\) | |||||||
\(810\) | −1.20546 | + | 8.16336i | −0.0423556 | + | 0.286831i | ||||
\(811\) | 21.3468 | + | 28.1234i | 0.749589 | + | 0.987547i | 0.999813 | + | 0.0193590i | \(0.00616254\pi\) |
−0.250224 | + | 0.968188i | \(0.580504\pi\) | |||||||
\(812\) | −12.4239 | − | 3.18991i | −0.435993 | − | 0.111944i | ||||
\(813\) | 7.06546 | − | 13.5150i | 0.247796 | − | 0.473991i | ||||
\(814\) | −26.6822 | − | 82.1193i | −0.935209 | − | 2.87828i | ||||
\(815\) | −31.5375 | + | 17.3379i | −1.10471 | + | 0.607320i | ||||
\(816\) | 16.3254 | − | 12.9394i | 0.571505 | − | 0.452969i | ||||
\(817\) | −9.27754 | + | 12.2227i | −0.324580 | + | 0.427618i | ||||
\(818\) | 35.0446 | + | 35.7864i | 1.22531 | + | 1.25124i | ||||
\(819\) | −4.01614 | + | 12.3604i | −0.140335 | + | 0.431907i | ||||
\(820\) | 3.77004 | + | 19.7632i | 0.131655 | + | 0.690162i | ||||
\(821\) | 33.7636 | + | 37.4982i | 1.17836 | + | 1.30870i | 0.941445 | + | 0.337166i | \(0.109468\pi\) |
0.236911 | + | 0.971531i | \(0.423865\pi\) | |||||||
\(822\) | −13.5671 | − | 12.7404i | −0.473208 | − | 0.444372i | ||||
\(823\) | −17.3856 | − | 2.19631i | −0.606024 | − | 0.0765586i | −0.183667 | − | 0.982988i | \(-0.558797\pi\) |
−0.422356 | + | 0.906430i | \(0.638797\pi\) | |||||||
\(824\) | −0.715632 | − | 2.56311i | −0.0249302 | − | 0.0892901i | ||||
\(825\) | −0.548808 | + | 8.72305i | −0.0191070 | + | 0.303698i | ||||
\(826\) | 8.02224 | − | 4.85844i | 0.279129 | − | 0.169047i | ||||
\(827\) | −2.34462 | + | 12.2909i | −0.0815304 | + | 0.427397i | 0.917995 | + | 0.396592i | \(0.129807\pi\) |
−0.999525 | + | 0.0308053i | \(0.990193\pi\) | |||||||
\(828\) | −18.3454 | − | 10.0855i | −0.637547 | − | 0.350494i | ||||
\(829\) | −9.40240 | + | 1.59030i | −0.326559 | + | 0.0552333i | −0.327746 | − | 0.944766i | \(-0.606289\pi\) |
0.00118679 | + | 0.999999i | \(0.499622\pi\) | |||||||
\(830\) | 24.0479 | + | 5.11153i | 0.834713 | + | 0.177424i | ||||
\(831\) | 20.2137 | + | 4.29656i | 0.701206 | + | 0.149046i | ||||
\(832\) | −20.1672 | + | 3.41102i | −0.699170 | + | 0.118256i | ||||
\(833\) | 14.7874 | + | 8.12941i | 0.512351 | + | 0.281668i | ||||
\(834\) | 4.87359 | − | 25.5482i | 0.168759 | − | 0.884663i | ||||
\(835\) | 3.54617 | − | 2.14764i | 0.122720 | − | 0.0743221i | ||||
\(836\) | 0.773935 | − | 12.3013i | 0.0267671 | − | 0.425451i | ||||
\(837\) | 4.52998 | + | 16.2246i | 0.156579 | + | 0.560803i | ||||
\(838\) | 17.8822 | + | 2.25905i | 0.617730 | + | 0.0780374i | ||||
\(839\) | 3.36354 | + | 3.15858i | 0.116122 | + | 0.109046i | 0.740434 | − | 0.672130i | \(-0.234620\pi\) |
−0.624311 | + | 0.781176i | \(0.714620\pi\) | |||||||
\(840\) | 0.591951 | + | 0.657428i | 0.0204243 | + | 0.0226834i | ||||
\(841\) | 3.13503 | + | 16.4344i | 0.108105 | + | 0.566704i | ||||
\(842\) | −1.54428 | + | 4.75281i | −0.0532194 | + | 0.163793i | ||||
\(843\) | −13.4457 | − | 13.7303i | −0.463094 | − | 0.472896i | ||||
\(844\) | 5.69143 | − | 7.49819i | 0.195907 | − | 0.258098i | ||||
\(845\) | 5.49056 | − | 4.35177i | 0.188881 | − | 0.149705i | ||||
\(846\) | −2.88230 | + | 1.58456i | −0.0990953 | + | 0.0544781i | ||||
\(847\) | 9.38807 | + | 28.8935i | 0.322578 | + | 0.992793i | ||||
\(848\) | 0.948628 | − | 1.81456i | 0.0325760 | − | 0.0623122i | ||||
\(849\) | −21.9812 | − | 5.64380i | −0.754392 | − | 0.193695i | ||||
\(850\) | 12.2081 | + | 16.0836i | 0.418735 | + | 0.551663i | ||||
\(851\) | −6.43284 | + | 43.5631i | −0.220515 | + | 1.49332i | ||||
\(852\) | −0.208250 | + | 0.887877i | −0.00713452 | + | 0.0304182i | ||||
\(853\) | 26.2460 | − | 6.73883i | 0.898646 | − | 0.230733i | 0.229011 | − | 0.973424i | \(-0.426451\pi\) |
0.669635 | + | 0.742691i | \(0.266451\pi\) | |||||||
\(854\) | −30.6880 | − | 24.3230i | −1.05012 | − | 0.832317i | ||||
\(855\) | 4.92562 | + | 0.833106i | 0.168453 | + | 0.0284916i | ||||
\(856\) | 1.22095 | + | 0.483407i | 0.0417311 | + | 0.0165225i | ||||
\(857\) | −6.62318 | + | 0.277594i | −0.226244 | + | 0.00948242i | −0.154728 | − | 0.987957i | \(-0.549450\pi\) |
−0.0715154 | + | 0.997439i | \(0.522784\pi\) | |||||||
\(858\) | −9.49393 | + | 25.5284i | −0.324117 | + | 0.871525i | ||||
\(859\) | −31.3748 | − | 15.5746i | −1.07050 | − | 0.531398i | −0.178731 | − | 0.983898i | \(-0.557199\pi\) |
−0.891765 | + | 0.452500i | \(0.850532\pi\) | |||||||
\(860\) | −4.05900 | − | 38.6188i | −0.138411 | − | 1.31689i | ||||
\(861\) | −9.76859 | + | 4.84917i | −0.332913 | + | 0.165259i | ||||
\(862\) | −29.9435 | − | 47.1834i | −1.01988 | − | 1.60707i | ||||
\(863\) | −0.739345 | + | 35.2960i | −0.0251676 | + | 1.20149i | 0.786583 | + | 0.617484i | \(0.211848\pi\) |
−0.811751 | + | 0.584004i | \(0.801485\pi\) | |||||||
\(864\) | −20.8083 | − | 29.9392i | −0.707912 | − | 1.01855i | ||||
\(865\) | 2.48672 | + | 39.5252i | 0.0845509 | + | 1.34390i | ||||
\(866\) | −50.7365 | + | 17.6683i | −1.72410 | + | 0.600394i | ||||
\(867\) | −8.50758 | − | 7.34354i | −0.288932 | − | 0.249400i | ||||
\(868\) | 12.0769 | + | 5.37700i | 0.409918 | + | 0.182507i | ||||
\(869\) | 17.6373 | + | 0.739224i | 0.598306 | + | 0.0250764i | ||||
\(870\) | 4.22194 | − | 10.0436i | 0.143137 | − | 0.340510i | ||||
\(871\) | 9.68107 | − | 34.6737i | 0.328031 | − | 1.17487i | ||||
\(872\) | 3.51171 | + | 1.22291i | 0.118922 | + | 0.0414129i | ||||
\(873\) | 5.71066 | + | 9.89115i | 0.193276 | + | 0.334765i | ||||
\(874\) | −6.53011 | + | 11.3105i | −0.220884 | + | 0.382583i | ||||
\(875\) | −18.1484 | + | 15.6653i | −0.613529 | + | 0.529584i | ||||
\(876\) | −13.9088 | + | 4.19932i | −0.469936 | + | 0.141882i | ||||
\(877\) | 14.8840 | − | 17.9917i | 0.502597 | − | 0.607535i | −0.456809 | − | 0.889565i | \(-0.651008\pi\) |
0.959406 | + | 0.282030i | \(0.0910077\pi\) | |||||||
\(878\) | −24.4911 | − | 52.0462i | −0.826534 | − | 1.75647i | ||||
\(879\) | −0.783951 | + | 1.66598i | −0.0264420 | + | 0.0561922i | ||||
\(880\) | −24.6345 | − | 29.7780i | −0.830429 | − | 1.00382i | ||||
\(881\) | 6.30172 | + | 4.18685i | 0.212310 | + | 0.141059i | 0.655034 | − | 0.755600i | \(-0.272654\pi\) |
−0.442724 | + | 0.896658i | \(0.645988\pi\) | |||||||
\(882\) | 7.16622 | − | 11.2922i | 0.241299 | − | 0.380227i | ||||
\(883\) | −0.244458 | + | 2.32586i | −0.00822666 | + | 0.0782714i | −0.997865 | − | 0.0653118i | \(-0.979196\pi\) |
0.989638 | + | 0.143583i | \(0.0458625\pi\) | |||||||
\(884\) | 10.5566 | + | 28.3859i | 0.355057 | + | 0.954720i | ||||
\(885\) | 1.48580 | + | 3.53457i | 0.0499445 | + | 0.118813i | ||||
\(886\) | 24.2945 | − | 3.06911i | 0.816190 | − | 0.103109i | ||||
\(887\) | −35.3162 | − | 25.6587i | −1.18580 | − | 0.861535i | −0.192987 | − | 0.981201i | \(-0.561817\pi\) |
−0.992814 | + | 0.119666i | \(0.961817\pi\) | |||||||
\(888\) | −1.24240 | + | 1.78758i | −0.0416923 | + | 0.0599874i | ||||
\(889\) | −6.44752 | − | 3.90475i | −0.216243 | − | 0.130961i | ||||
\(890\) | −16.8740 | + | 18.7404i | −0.565617 | + | 0.628181i | ||||
\(891\) | 12.2060 | − | 1.02497i | 0.408918 | − | 0.0343378i | ||||
\(892\) | −10.1667 | − | 43.3461i | −0.340407 | − | 1.45133i | ||||
\(893\) | 0.457556 | + | 0.875223i | 0.0153115 | + | 0.0292882i | ||||
\(894\) | 6.40318 | − | 6.53871i | 0.214154 | − | 0.218687i | ||||
\(895\) | 5.61264 | + | 38.0087i | 0.187610 | + | 1.27049i | ||||
\(896\) | 4.44074 | + | 0.372900i | 0.148355 | + | 0.0124577i | ||||
\(897\) | 10.1257 | − | 9.50869i | 0.338088 | − | 0.317486i | ||||
\(898\) | 50.6628 | − | 36.8087i | 1.69064 | − | 1.22832i | ||||
\(899\) | 0.264820 | + | 12.6424i | 0.00883223 | + | 0.421646i | ||||
\(900\) | 6.41565 | − | 4.26254i | 0.213855 | − | 0.142085i | ||||
\(901\) | −2.49503 | − | 0.753295i | −0.0831216 | − | 0.0250959i | ||||
\(902\) | 56.6857 | − | 25.2381i | 1.88743 | − | 0.840337i | ||||
\(903\) | 19.5708 | − | 7.74861i | 0.651274 | − | 0.257858i | ||||
\(904\) | −2.72746 | + | 0.579740i | −0.0907141 | + | 0.0192819i | ||||
\(905\) | 18.5882 | 0.617894 | ||||||||
\(906\) | 21.6288 | + | 1.54400i | 0.718569 | + | 0.0512958i | ||||
\(907\) | 49.6432 | 1.64837 | 0.824187 | − | 0.566317i | \(-0.191632\pi\) | ||||
0.824187 | + | 0.566317i | \(0.191632\pi\) | |||||||
\(908\) | −46.8397 | + | 9.95608i | −1.55443 | + | 0.330404i | ||||
\(909\) | 36.5139 | − | 14.4569i | 1.21109 | − | 0.479504i | ||||
\(910\) | −18.7437 | + | 8.34524i | −0.621348 | + | 0.276642i | ||||
\(911\) | −18.6942 | − | 5.64411i | −0.619366 | − | 0.186998i | −0.0361919 | − | 0.999345i | \(-0.511523\pi\) |
−0.583174 | + | 0.812347i | \(0.698189\pi\) | |||||||
\(912\) | −4.12912 | + | 2.74338i | −0.136729 | + | 0.0908423i | ||||
\(913\) | −0.764269 | − | 36.4858i | −0.0252936 | − | 1.20750i | ||||
\(914\) | 45.8102 | − | 33.2831i | 1.51527 | − | 1.10091i | ||||
\(915\) | 11.6696 | − | 10.9585i | 0.385786 | − | 0.362277i | ||||
\(916\) | −34.0891 | − | 2.86254i | −1.12634 | − | 0.0945811i | ||||
\(917\) | −3.39968 | − | 23.0226i | −0.112267 | − | 0.760274i | ||||
\(918\) | −34.8229 | + | 35.5600i | −1.14933 | + | 1.17365i | ||||
\(919\) | 8.34182 | + | 15.9564i | 0.275171 | + | 0.526354i | 0.983809 | − | 0.179218i | \(-0.0573568\pi\) |
−0.708638 | + | 0.705572i | \(0.750690\pi\) | |||||||
\(920\) | 0.586167 | + | 2.49914i | 0.0193254 | + | 0.0823941i | ||||
\(921\) | 17.1611 | − | 1.44106i | 0.565479 | − | 0.0474846i | ||||
\(922\) | 37.3395 | − | 41.4698i | 1.22971 | − | 1.36573i | ||||
\(923\) | 1.40518 | + | 0.851007i | 0.0462520 | + | 0.0280112i | ||||
\(924\) | −9.64922 | + | 13.8834i | −0.317436 | + | 0.456731i | ||||
\(925\) | −13.1077 | − | 9.52328i | −0.430978 | − | 0.313124i | ||||
\(926\) | −0.575671 | + | 0.0727242i | −0.0189177 | + | 0.00238987i | ||||
\(927\) | 7.98786 | + | 19.0024i | 0.262356 | + | 0.624120i | ||||
\(928\) | −9.54026 | − | 25.6530i | −0.313174 | − | 0.842100i | ||||
\(929\) | 2.96247 | − | 28.1861i | 0.0971956 | − | 0.924755i | −0.831903 | − | 0.554922i | \(-0.812748\pi\) |
0.929098 | − | 0.369833i | \(-0.120585\pi\) | |||||||
\(930\) | −6.01663 | + | 9.48070i | −0.197293 | + | 0.310884i | ||||
\(931\) | −3.34482 | − | 2.22229i | −0.109622 | − | 0.0728327i | ||||
\(932\) | 15.0668 | + | 18.2126i | 0.493528 | + | 0.596573i | ||||
\(933\) | 0.260684 | − | 0.553983i | 0.00853443 | − | 0.0181366i | ||||
\(934\) | −1.66565 | − | 3.53968i | −0.0545016 | − | 0.115822i | ||||
\(935\) | −31.3564 | + | 37.9034i | −1.02546 | + | 1.23957i | ||||
\(936\) | −1.78471 | + | 0.538837i | −0.0583352 | + | 0.0176124i | ||||
\(937\) | −31.2552 | + | 26.9788i | −1.02106 | + | 0.881358i | −0.992984 | − | 0.118248i | \(-0.962272\pi\) |
−0.0280788 | + | 0.999606i | \(0.508939\pi\) | |||||||
\(938\) | 23.2149 | − | 40.2095i | 0.757995 | − | 1.31289i | ||||
\(939\) | 5.92294 | + | 10.2588i | 0.193288 | + | 0.334784i | ||||
\(940\) | −2.36021 | − | 0.821912i | −0.0769815 | − | 0.0268078i | ||||
\(941\) | −7.89354 | + | 28.2715i | −0.257322 | + | 0.921624i | 0.717114 | + | 0.696956i | \(0.245463\pi\) |
−0.974436 | + | 0.224667i | \(0.927870\pi\) | |||||||
\(942\) | 5.02964 | − | 11.9650i | 0.163875 | − | 0.389842i | ||||
\(943\) | −31.6174 | − | 1.32516i | −1.02960 | − | 0.0431532i | ||||
\(944\) | 9.43672 | + | 4.20150i | 0.307139 | + | 0.136747i | ||||
\(945\) | −12.2853 | − | 10.6044i | −0.399641 | − | 0.344961i | ||||
\(946\) | −113.098 | + | 39.3848i | −3.67712 | + | 1.28051i | ||||
\(947\) | −0.635634 | − | 10.1031i | −0.0206553 | − | 0.328307i | −0.994762 | − | 0.102218i | \(-0.967406\pi\) |
0.974107 | − | 0.226089i | \(-0.0725940\pi\) | |||||||
\(948\) | 3.27032 | + | 4.70537i | 0.106215 | + | 0.152823i | ||||
\(949\) | −0.548100 | + | 26.1660i | −0.0177921 | + | 0.849384i | ||||
\(950\) | −2.57478 | − | 4.05721i | −0.0835369 | − | 0.131633i | ||||
\(951\) | −3.68194 | + | 1.82773i | −0.119395 | + | 0.0592683i | ||||
\(952\) | −0.317112 | − | 3.01711i | −0.0102776 | − | 0.0977853i | ||||
\(953\) | 29.5450 | + | 14.6662i | 0.957055 | + | 0.475086i | 0.854392 | − | 0.519630i | \(-0.173930\pi\) |
0.102664 | + | 0.994716i | \(0.467263\pi\) | |||||||
\(954\) | −0.720018 | + | 1.93607i | −0.0233115 | + | 0.0626826i | ||||
\(955\) | −9.56436 | + | 0.400865i | −0.309495 | + | 0.0129717i | ||||
\(956\) | 27.4213 | + | 10.8569i | 0.886869 | + | 0.351136i | ||||
\(957\) | −15.9458 | − | 2.69703i | −0.515454 | − | 0.0871825i | ||||
\(958\) | 33.5036 | + | 26.5546i | 1.08245 | + | 0.857941i | ||||
\(959\) | −20.1575 | + | 5.17556i | −0.650919 | + | 0.167127i | ||||
\(960\) | 2.46261 | − | 10.4994i | 0.0794803 | − | 0.338866i | ||||
\(961\) | −2.62474 | + | 17.7747i | −0.0846691 | + | 0.573378i | ||||
\(962\) | −30.5255 | − | 40.2158i | −0.984181 | − | 1.29661i | ||||
\(963\) | −9.85212 | − | 2.52959i | −0.317480 | − | 0.0815150i | ||||
\(964\) | 19.7259 | − | 37.7321i | 0.635327 | − | 1.21527i | ||||
\(965\) | 1.98798 | + | 6.11839i | 0.0639955 | + | 0.196958i | ||||
\(966\) | 15.6990 | − | 8.63057i | 0.505106 | − | 0.277684i | ||||
\(967\) | 43.0956 | − | 34.1572i | 1.38586 | − | 1.09842i | 0.402772 | − | 0.915300i | \(-0.368047\pi\) |
0.983090 | − | 0.183121i | \(-0.0586199\pi\) | |||||||
\(968\) | −2.63480 | + | 3.47122i | −0.0846856 | + | 0.111569i | ||||
\(969\) | 4.41494 | + | 4.50839i | 0.141828 | + | 0.144830i | ||||
\(970\) | −5.57183 | + | 17.1483i | −0.178901 | + | 0.550600i | ||||
\(971\) | 2.56859 | + | 13.4650i | 0.0824300 | + | 0.432113i | 0.999447 | + | 0.0332641i | \(0.0105903\pi\) |
−0.917017 | + | 0.398849i | \(0.869410\pi\) | |||||||
\(972\) | 20.0440 | + | 22.2611i | 0.642911 | + | 0.714025i | ||||
\(973\) | −21.2007 | − | 19.9088i | −0.679664 | − | 0.638247i | ||||
\(974\) | 12.5075 | + | 1.58007i | 0.400767 | + | 0.0506286i | ||||
\(975\) | 1.37438 | + | 4.92246i | 0.0440152 | + | 0.157645i | ||||
\(976\) | 2.70809 | − | 43.0438i | 0.0866838 | − | 1.37780i | ||||
\(977\) | −4.76760 | + | 2.88736i | −0.152529 | + | 0.0923749i | −0.592228 | − | 0.805770i | \(-0.701752\pi\) |
0.439699 | + | 0.898145i | \(0.355085\pi\) | |||||||
\(978\) | −6.75117 | + | 35.3909i | −0.215879 | + | 1.13168i | ||||
\(979\) | 32.8027 | + | 18.0335i | 1.04838 | + | 0.576352i | ||||
\(980\) | 10.0199 | − | 1.69474i | 0.320074 | − | 0.0541365i | ||||
\(981\) | −28.1743 | − | 5.98863i | −0.899535 | − | 0.191202i | ||||
\(982\) | −81.2413 | − | 17.2684i | −2.59251 | − | 0.551056i | ||||
\(983\) | −29.4697 | + | 4.98443i | −0.939938 | + | 0.158979i | −0.616575 | − | 0.787296i | \(-0.711480\pi\) |
−0.323363 | + | 0.946275i | \(0.604814\pi\) | |||||||
\(984\) | −1.37090 | − | 0.753658i | −0.0437026 | − | 0.0240257i | ||||
\(985\) | 7.67814 | − | 40.2502i | 0.244646 | − | 1.28248i | ||||
\(986\) | −31.9578 | + | 19.3543i | −1.01774 | + | 0.616368i | ||||
\(987\) | 0.0850635 | − | 1.35205i | 0.00270760 | − | 0.0430361i | ||||
\(988\) | −1.93816 | − | 6.94171i | −0.0616611 | − | 0.220845i | ||||
\(989\) | 60.5947 | + | 7.65489i | 1.92680 | + | 0.243411i | ||||
\(990\) | 28.4209 | + | 26.6890i | 0.903276 | + | 0.848232i | ||||
\(991\) | −10.8436 | − | 12.0431i | −0.344459 | − | 0.382560i | 0.545876 | − | 0.837866i | \(-0.316197\pi\) |
−0.890335 | + | 0.455305i | \(0.849530\pi\) | |||||||
\(992\) | 5.28566 | + | 27.7084i | 0.167820 | + | 0.879743i | ||||
\(993\) | −9.80368 | + | 30.1726i | −0.311111 | + | 0.957500i | ||||
\(994\) | 1.48240 | + | 1.51378i | 0.0470190 | + | 0.0480143i | ||||
\(995\) | −14.1426 | + | 18.6322i | −0.448352 | + | 0.590682i | ||||
\(996\) | 9.28375 | − | 7.35821i | 0.294167 | − | 0.233154i | ||||
\(997\) | 24.1711 | − | 13.2882i | 0.765506 | − | 0.420840i | −0.0506175 | − | 0.998718i | \(-0.516119\pi\) |
0.816123 | + | 0.577878i | \(0.196119\pi\) | |||||||
\(998\) | −6.36598 | − | 19.5925i | −0.201512 | − | 0.620189i | ||||
\(999\) | 18.5021 | − | 35.3913i | 0.585381 | − | 1.11973i |
(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 | 151.2.k.a.39.2 | yes | 480 | |
151.31 | even | 75 | inner | 151.2.k.a.31.2 | ✓ | 480 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
151.2.k.a.31.2 | ✓ | 480 | 151.31 | even | 75 | inner | |
151.2.k.a.39.2 | yes | 480 | 1.1 | even | 1 | trivial |