Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [588,2,Mod(103,588)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(588, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([21, 0, 29]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("588.103");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 588 = 2^{2} \cdot 3 \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 588.ba (of order \(42\), degree \(12\), 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: | \(4.69520363885\) |
Analytic rank: | \(0\) |
Dimension: | \(336\) |
Relative dimension: | \(28\) over \(\Q(\zeta_{42})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{42}]$ |
Embedding invariants
Embedding label | 187.15 | ||
Character | \(\chi\) | \(=\) | 588.187 |
Dual form | 588.2.ba.b.283.15 |
$q$-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 \(\left(\mathbb{Z}/588\mathbb{Z}\right)^\times\).
\(n\) | \(197\) | \(295\) | \(493\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(e\left(\frac{23}{42}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.0531662 | − | 1.41321i | 0.0375942 | − | 0.999293i | ||||
\(3\) | −0.988831 | − | 0.149042i | −0.570902 | − | 0.0860496i | ||||
\(4\) | −1.99435 | − | 0.150270i | −0.997173 | − | 0.0751352i | ||||
\(5\) | −0.462080 | + | 0.181353i | −0.206648 | + | 0.0811035i | −0.466408 | − | 0.884570i | \(-0.654452\pi\) |
0.259759 | + | 0.965673i | \(0.416357\pi\) | |||||||
\(6\) | −0.263201 | + | 1.38951i | −0.107451 | + | 0.567263i | ||||
\(7\) | −2.59558 | − | 0.512816i | −0.981036 | − | 0.193826i | ||||
\(8\) | −0.318396 | + | 2.81045i | −0.112570 | + | 0.993644i | ||||
\(9\) | 0.955573 | + | 0.294755i | 0.318524 | + | 0.0982517i | ||||
\(10\) | 0.231723 | + | 0.662659i | 0.0732774 | + | 0.209551i | ||||
\(11\) | 1.33192 | + | 4.31796i | 0.401588 | + | 1.30192i | 0.900346 | + | 0.435174i | \(0.143313\pi\) |
−0.498759 | + | 0.866741i | \(0.666211\pi\) | |||||||
\(12\) | 1.94967 | + | 0.445834i | 0.562823 | + | 0.128701i | ||||
\(13\) | 3.68398 | + | 0.840845i | 1.02175 | + | 0.233208i | 0.700399 | − | 0.713751i | \(-0.253005\pi\) |
0.321353 | + | 0.946959i | \(0.395862\pi\) | |||||||
\(14\) | −0.862715 | + | 3.64084i | −0.230570 | + | 0.973056i | ||||
\(15\) | 0.483948 | − | 0.110458i | 0.124955 | − | 0.0285201i | ||||
\(16\) | 3.95484 | + | 0.599382i | 0.988709 | + | 0.149846i | ||||
\(17\) | 1.13757 | − | 1.66851i | 0.275902 | − | 0.404674i | −0.663130 | − | 0.748504i | \(-0.730772\pi\) |
0.939032 | + | 0.343831i | \(0.111725\pi\) | |||||||
\(18\) | 0.467356 | − | 1.33476i | 0.110157 | − | 0.314605i | ||||
\(19\) | 0.488877 | − | 0.846760i | 0.112156 | − | 0.194260i | −0.804483 | − | 0.593975i | \(-0.797558\pi\) |
0.916639 | + | 0.399715i | \(0.130891\pi\) | |||||||
\(20\) | 0.948799 | − | 0.292244i | 0.212158 | − | 0.0653477i | ||||
\(21\) | 2.49016 | + | 0.893939i | 0.543396 | + | 0.195073i | ||||
\(22\) | 6.17302 | − | 1.65271i | 1.31609 | − | 0.352359i | ||||
\(23\) | −2.39323 | − | 3.51023i | −0.499024 | − | 0.731933i | 0.491257 | − | 0.871014i | \(-0.336537\pi\) |
−0.990281 | + | 0.139081i | \(0.955585\pi\) | |||||||
\(24\) | 0.733715 | − | 2.73160i | 0.149769 | − | 0.557586i | ||||
\(25\) | −3.48463 | + | 3.23326i | −0.696926 | + | 0.646653i | ||||
\(26\) | 1.38416 | − | 5.16155i | 0.271455 | − | 1.01226i | ||||
\(27\) | −0.900969 | − | 0.433884i | −0.173392 | − | 0.0835010i | ||||
\(28\) | 5.09942 | + | 1.41277i | 0.963700 | + | 0.266989i | ||||
\(29\) | 8.70671 | − | 4.19293i | 1.61680 | − | 0.778608i | 0.616832 | − | 0.787095i | \(-0.288416\pi\) |
0.999964 | + | 0.00848736i | \(0.00270164\pi\) | |||||||
\(30\) | −0.130371 | − | 0.689794i | −0.0238024 | − | 0.125939i | ||||
\(31\) | 4.48423 | + | 7.76692i | 0.805392 | + | 1.39498i | 0.916026 | + | 0.401119i | \(0.131379\pi\) |
−0.110634 | + | 0.993861i | \(0.535288\pi\) | |||||||
\(32\) | 1.05732 | − | 5.55716i | 0.186909 | − | 0.982377i | ||||
\(33\) | −0.673480 | − | 4.46825i | −0.117238 | − | 0.777822i | ||||
\(34\) | −2.29748 | − | 1.69634i | −0.394015 | − | 0.290920i | ||||
\(35\) | 1.29236 | − | 0.233754i | 0.218449 | − | 0.0395116i | ||||
\(36\) | −1.86145 | − | 0.731438i | −0.310242 | − | 0.121906i | ||||
\(37\) | −0.392678 | + | 5.23992i | −0.0645559 | + | 0.861438i | 0.867109 | + | 0.498119i | \(0.165976\pi\) |
−0.931665 | + | 0.363319i | \(0.881643\pi\) | |||||||
\(38\) | −1.17066 | − | 0.735907i | −0.189906 | − | 0.119380i | ||||
\(39\) | −3.51751 | − | 1.38052i | −0.563253 | − | 0.221060i | ||||
\(40\) | −0.362559 | − | 1.35639i | −0.0573256 | − | 0.214465i | ||||
\(41\) | 2.78734 | + | 2.22283i | 0.435310 | + | 0.347148i | 0.816497 | − | 0.577350i | \(-0.195913\pi\) |
−0.381187 | + | 0.924498i | \(0.624485\pi\) | |||||||
\(42\) | 1.39572 | − | 3.47159i | 0.215364 | − | 0.535679i | ||||
\(43\) | −2.87270 | + | 2.29090i | −0.438083 | + | 0.349360i | −0.817562 | − | 0.575841i | \(-0.804675\pi\) |
0.379479 | + | 0.925200i | \(0.376103\pi\) | |||||||
\(44\) | −2.00744 | − | 8.81167i | −0.302633 | − | 1.32841i | ||||
\(45\) | −0.495005 | + | 0.0370955i | −0.0737910 | + | 0.00552987i | ||||
\(46\) | −5.08794 | + | 3.19552i | −0.750176 | + | 0.471154i | ||||
\(47\) | 4.41509 | + | 4.09660i | 0.644007 | + | 0.597551i | 0.933042 | − | 0.359767i | \(-0.117144\pi\) |
−0.289035 | + | 0.957318i | \(0.593334\pi\) | |||||||
\(48\) | −3.82133 | − | 1.18213i | −0.551562 | − | 0.170625i | ||||
\(49\) | 6.47404 | + | 2.66211i | 0.924863 | + | 0.380301i | ||||
\(50\) | 4.38403 | + | 5.09643i | 0.619995 | + | 0.720744i | ||||
\(51\) | −1.37355 | + | 1.48033i | −0.192335 | + | 0.207288i | ||||
\(52\) | −7.22078 | − | 2.23053i | −1.00134 | − | 0.309319i | ||||
\(53\) | 0.569179 | + | 7.59516i | 0.0781827 | + | 1.04328i | 0.888979 | + | 0.457948i | \(0.151415\pi\) |
−0.810797 | + | 0.585328i | \(0.800966\pi\) | |||||||
\(54\) | −0.661072 | + | 1.25019i | −0.0899604 | + | 0.170130i | ||||
\(55\) | −1.39853 | − | 1.75370i | −0.188577 | − | 0.236468i | ||||
\(56\) | 2.26766 | − | 7.13146i | 0.303029 | − | 0.952981i | ||||
\(57\) | −0.609620 | + | 0.764439i | −0.0807461 | + | 0.101252i | ||||
\(58\) | −5.46261 | − | 12.5274i | −0.717275 | − | 1.64492i | ||||
\(59\) | 4.24139 | − | 10.8069i | 0.552181 | − | 1.40694i | −0.333548 | − | 0.942733i | \(-0.608246\pi\) |
0.885729 | − | 0.464202i | \(-0.153659\pi\) | |||||||
\(60\) | −0.981758 | + | 0.147568i | −0.126744 | + | 0.0190510i | ||||
\(61\) | 9.45717 | + | 0.708717i | 1.21087 | + | 0.0907419i | 0.664814 | − | 0.747009i | \(-0.268511\pi\) |
0.546052 | + | 0.837751i | \(0.316130\pi\) | |||||||
\(62\) | 11.2147 | − | 5.92424i | 1.42427 | − | 0.752380i | ||||
\(63\) | −2.32911 | − | 1.25509i | −0.293440 | − | 0.158127i | ||||
\(64\) | −7.79725 | − | 1.78967i | −0.974656 | − | 0.223709i | ||||
\(65\) | −1.85478 | + | 0.279563i | −0.230057 | + | 0.0346756i | ||||
\(66\) | −6.35040 | + | 0.714212i | −0.781680 | + | 0.0879134i | ||||
\(67\) | −11.2167 | + | 6.47598i | −1.37034 | + | 0.791166i | −0.990971 | − | 0.134079i | \(-0.957192\pi\) |
−0.379370 | + | 0.925245i | \(0.623859\pi\) | |||||||
\(68\) | −2.51944 | + | 3.15665i | −0.305527 | + | 0.382800i | ||||
\(69\) | 1.84333 | + | 3.82771i | 0.221911 | + | 0.460803i | ||||
\(70\) | −0.261634 | − | 1.83881i | −0.0312712 | − | 0.219780i | ||||
\(71\) | −4.51992 | + | 9.38571i | −0.536416 | + | 1.11388i | 0.440004 | + | 0.897996i | \(0.354977\pi\) |
−0.976419 | + | 0.215882i | \(0.930737\pi\) | |||||||
\(72\) | −1.13264 | + | 2.59174i | −0.133483 | + | 0.305439i | ||||
\(73\) | −2.71203 | − | 2.92287i | −0.317419 | − | 0.342097i | 0.554107 | − | 0.832445i | \(-0.313060\pi\) |
−0.871526 | + | 0.490349i | \(0.836869\pi\) | |||||||
\(74\) | 7.38426 | + | 0.833525i | 0.858402 | + | 0.0968953i | ||||
\(75\) | 3.92760 | − | 2.67779i | 0.453521 | − | 0.309205i | ||||
\(76\) | −1.10223 | + | 1.61527i | −0.126435 | + | 0.185284i | ||||
\(77\) | −1.24277 | − | 11.8906i | −0.141627 | − | 1.35506i | ||||
\(78\) | −2.13799 | + | 4.89760i | −0.242079 | + | 0.554544i | ||||
\(79\) | 5.03527 | + | 2.90712i | 0.566513 | + | 0.327076i | 0.755755 | − | 0.654854i | \(-0.227270\pi\) |
−0.189243 | + | 0.981930i | \(0.560603\pi\) | |||||||
\(80\) | −1.93615 | + | 0.440259i | −0.216468 | + | 0.0492224i | ||||
\(81\) | 0.826239 | + | 0.563320i | 0.0918043 | + | 0.0625911i | ||||
\(82\) | 3.28953 | − | 3.82093i | 0.363268 | − | 0.421951i | ||||
\(83\) | −2.39269 | − | 10.4831i | −0.262632 | − | 1.15067i | −0.918384 | − | 0.395691i | \(-0.870505\pi\) |
0.655752 | − | 0.754977i | \(-0.272352\pi\) | |||||||
\(84\) | −4.83190 | − | 2.15702i | −0.527204 | − | 0.235350i | ||||
\(85\) | −0.223059 | + | 0.977287i | −0.0241942 | + | 0.106002i | ||||
\(86\) | 3.08481 | + | 4.18154i | 0.332643 | + | 0.450907i | ||||
\(87\) | −9.23439 | + | 2.84843i | −0.990030 | + | 0.305384i | ||||
\(88\) | −12.5595 | + | 2.36846i | −1.33885 | + | 0.252479i | ||||
\(89\) | −0.636448 | + | 2.06331i | −0.0674633 | + | 0.218711i | −0.983027 | − | 0.183463i | \(-0.941269\pi\) |
0.915563 | + | 0.402174i | \(0.131745\pi\) | |||||||
\(90\) | 0.0261064 | + | 0.701521i | 0.00275185 | + | 0.0739468i | ||||
\(91\) | −9.13086 | − | 4.07168i | −0.957174 | − | 0.426828i | ||||
\(92\) | 4.24545 | + | 7.36024i | 0.442619 | + | 0.767358i | ||||
\(93\) | −3.27655 | − | 8.34851i | −0.339762 | − | 0.865700i | ||||
\(94\) | 6.02411 | − | 6.02166i | 0.621339 | − | 0.621087i | ||||
\(95\) | −0.0723377 | + | 0.479930i | −0.00742169 | + | 0.0492397i | ||||
\(96\) | −1.87376 | + | 5.33751i | −0.191240 | + | 0.544757i | ||||
\(97\) | 4.38229i | 0.444954i | 0.974938 | + | 0.222477i | \(0.0714142\pi\) | ||||
−0.974938 | + | 0.222477i | \(0.928586\pi\) | |||||||
\(98\) | 4.10633 | − | 9.00767i | 0.414802 | − | 0.909912i | ||||
\(99\) | 4.51872i | 0.454148i | ||||||||
\(100\) | 7.43543 | − | 5.92461i | 0.743543 | − | 0.592461i | ||||
\(101\) | −1.42841 | + | 9.47689i | −0.142132 | + | 0.942986i | 0.798118 | + | 0.602501i | \(0.205829\pi\) |
−0.940250 | + | 0.340485i | \(0.889409\pi\) | |||||||
\(102\) | 2.01900 | + | 2.01982i | 0.199910 | + | 0.199992i | ||||
\(103\) | 5.89325 | + | 15.0158i | 0.580679 | + | 1.47955i | 0.855372 | + | 0.518015i | \(0.173329\pi\) |
−0.274692 | + | 0.961532i | \(0.588576\pi\) | |||||||
\(104\) | −3.53612 | + | 10.0859i | −0.346745 | + | 0.989006i | ||||
\(105\) | −1.31277 | + | 0.0385259i | −0.128113 | + | 0.00375974i | ||||
\(106\) | 10.7638 | − | 0.400566i | 1.04548 | − | 0.0389064i | ||||
\(107\) | 0.260906 | − | 0.845837i | 0.0252228 | − | 0.0817702i | −0.942086 | − | 0.335370i | \(-0.891139\pi\) |
0.967309 | + | 0.253600i | \(0.0816147\pi\) | |||||||
\(108\) | 1.73164 | + | 1.00070i | 0.166628 | + | 0.0962927i | ||||
\(109\) | −19.7881 | + | 6.10383i | −1.89536 | + | 0.584641i | −0.909874 | + | 0.414885i | \(0.863822\pi\) |
−0.985486 | + | 0.169757i | \(0.945702\pi\) | |||||||
\(110\) | −2.55270 | + | 1.88318i | −0.243391 | + | 0.179554i | ||||
\(111\) | 1.16926 | − | 5.12287i | 0.110981 | − | 0.486242i | ||||
\(112\) | −9.95771 | − | 3.58385i | −0.940915 | − | 0.338642i | ||||
\(113\) | −0.418473 | − | 1.83345i | −0.0393666 | − | 0.172476i | 0.951423 | − | 0.307887i | \(-0.0996218\pi\) |
−0.990790 | + | 0.135410i | \(0.956765\pi\) | |||||||
\(114\) | 1.04790 | + | 0.902165i | 0.0981452 | + | 0.0844955i | ||||
\(115\) | 1.74245 | + | 1.18798i | 0.162485 | + | 0.110780i | ||||
\(116\) | −17.9943 | + | 7.05380i | −1.67073 | + | 0.654929i | ||||
\(117\) | 3.27247 | + | 1.88936i | 0.302540 | + | 0.174671i | ||||
\(118\) | −15.0469 | − | 6.56855i | −1.38518 | − | 0.604684i | ||||
\(119\) | −3.80830 | + | 3.74739i | −0.349106 | + | 0.343522i | ||||
\(120\) | 0.156349 | + | 1.39528i | 0.0142727 | + | 0.127371i | ||||
\(121\) | −7.78219 | + | 5.30581i | −0.707472 | + | 0.482346i | ||||
\(122\) | 1.50437 | − | 13.3273i | 0.136199 | − | 1.20660i | ||||
\(123\) | −2.42491 | − | 2.61344i | −0.218647 | − | 0.235646i | ||||
\(124\) | −7.77598 | − | 16.1638i | −0.698304 | − | 1.45155i | ||||
\(125\) | 2.10070 | − | 4.36215i | 0.187892 | − | 0.390162i | ||||
\(126\) | −1.89754 | + | 3.22480i | −0.169047 | + | 0.287288i | ||||
\(127\) | 3.17954 | + | 6.60237i | 0.282138 | + | 0.585866i | 0.993087 | − | 0.117377i | \(-0.0374487\pi\) |
−0.710949 | + | 0.703243i | \(0.751734\pi\) | |||||||
\(128\) | −2.94374 | + | 10.9240i | −0.260192 | + | 0.965557i | ||||
\(129\) | 3.18206 | − | 1.83716i | 0.280165 | − | 0.161753i | ||||
\(130\) | 0.296471 | + | 2.63607i | 0.0260022 | + | 0.231198i | ||||
\(131\) | 13.6778 | − | 2.06159i | 1.19503 | − | 0.180122i | 0.478763 | − | 0.877944i | \(-0.341085\pi\) |
0.716271 | + | 0.697822i | \(0.245847\pi\) | |||||||
\(132\) | 0.671708 | + | 9.01244i | 0.0584647 | + | 0.784432i | ||||
\(133\) | −1.70315 | + | 1.94713i | −0.147682 | + | 0.168837i | ||||
\(134\) | 8.55559 | + | 16.1959i | 0.739090 | + | 1.39911i | ||||
\(135\) | 0.495005 | + | 0.0370955i | 0.0426033 | + | 0.00319267i | ||||
\(136\) | 4.32707 | + | 3.72834i | 0.371043 | + | 0.319702i | ||||
\(137\) | 1.32131 | − | 3.36664i | 0.112887 | − | 0.287632i | −0.863254 | − | 0.504770i | \(-0.831577\pi\) |
0.976141 | + | 0.217139i | \(0.0696724\pi\) | |||||||
\(138\) | 5.50738 | − | 2.40151i | 0.468819 | − | 0.204431i | ||||
\(139\) | 7.36307 | − | 9.23300i | 0.624527 | − | 0.783133i | −0.364446 | − | 0.931224i | \(-0.618742\pi\) |
0.988974 | + | 0.148092i | \(0.0473131\pi\) | |||||||
\(140\) | −2.61255 | + | 0.271982i | −0.220801 | + | 0.0229866i | ||||
\(141\) | −3.75521 | − | 4.70888i | −0.316246 | − | 0.396559i | ||||
\(142\) | 13.0237 | + | 6.88661i | 1.09292 | + | 0.577912i | ||||
\(143\) | 1.27601 | + | 17.0272i | 0.106706 | + | 1.42389i | ||||
\(144\) | 3.60246 | + | 1.73846i | 0.300205 | + | 0.144872i | ||||
\(145\) | −3.26279 | + | 3.51645i | −0.270960 | + | 0.292026i | ||||
\(146\) | −4.27484 | + | 3.67728i | −0.353788 | + | 0.304334i | ||||
\(147\) | −6.00496 | − | 3.59728i | −0.495281 | − | 0.296699i | ||||
\(148\) | 1.57054 | − | 10.3912i | 0.129098 | − | 0.854153i | ||||
\(149\) | −11.7897 | − | 10.9392i | −0.965848 | − | 0.896176i | 0.0287907 | − | 0.999585i | \(-0.490834\pi\) |
−0.994639 | + | 0.103409i | \(0.967025\pi\) | |||||||
\(150\) | −3.57548 | − | 5.69291i | −0.291937 | − | 0.464824i | ||||
\(151\) | 18.4190 | − | 1.38031i | 1.49892 | − | 0.112328i | 0.700162 | − | 0.713984i | \(-0.253111\pi\) |
0.798756 | + | 0.601655i | \(0.205492\pi\) | |||||||
\(152\) | 2.22412 | + | 1.64357i | 0.180400 | + | 0.133311i | ||||
\(153\) | 1.57884 | − | 1.25908i | 0.127641 | − | 0.101791i | ||||
\(154\) | −16.8701 | + | 1.12412i | −1.35943 | + | 0.0905840i | ||||
\(155\) | −3.48063 | − | 2.77571i | −0.279571 | − | 0.222950i | ||||
\(156\) | 6.80769 | + | 3.28182i | 0.545051 | + | 0.262756i | ||||
\(157\) | −5.70645 | − | 2.23962i | −0.455424 | − | 0.178741i | 0.126529 | − | 0.991963i | \(-0.459616\pi\) |
−0.581954 | + | 0.813222i | \(0.697711\pi\) | |||||||
\(158\) | 4.37608 | − | 6.96136i | 0.348142 | − | 0.553816i | ||||
\(159\) | 0.569179 | − | 7.59516i | 0.0451388 | − | 0.602336i | ||||
\(160\) | 0.519242 | + | 2.75960i | 0.0410497 | + | 0.218166i | ||||
\(161\) | 4.41172 | + | 10.3384i | 0.347692 | + | 0.814777i | ||||
\(162\) | 0.840020 | − | 1.13770i | 0.0659982 | − | 0.0893864i | ||||
\(163\) | 1.15104 | + | 7.63666i | 0.0901565 | + | 0.598149i | 0.987597 | + | 0.157013i | \(0.0501864\pi\) |
−0.897440 | + | 0.441136i | \(0.854576\pi\) | |||||||
\(164\) | −5.22490 | − | 4.85195i | −0.407996 | − | 0.378874i | ||||
\(165\) | 1.12153 | + | 1.94255i | 0.0873111 | + | 0.151227i | ||||
\(166\) | −14.9420 | + | 2.82404i | −1.15973 | + | 0.219188i | ||||
\(167\) | 17.2894 | − | 8.32613i | 1.33789 | − | 0.644295i | 0.378299 | − | 0.925684i | \(-0.376509\pi\) |
0.959594 | + | 0.281389i | \(0.0907950\pi\) | |||||||
\(168\) | −3.30522 | + | 6.71383i | −0.255004 | + | 0.517983i | ||||
\(169\) | 1.15210 | + | 0.554824i | 0.0886234 | + | 0.0426788i | ||||
\(170\) | 1.36926 | + | 0.367189i | 0.105017 | + | 0.0281621i | ||||
\(171\) | 0.716744 | − | 0.665041i | 0.0548108 | − | 0.0508570i | ||||
\(172\) | 6.07342 | − | 4.13718i | 0.463094 | − | 0.315457i | ||||
\(173\) | 0.816364 | + | 1.19739i | 0.0620670 | + | 0.0910355i | 0.856018 | − | 0.516947i | \(-0.172932\pi\) |
−0.793951 | + | 0.607982i | \(0.791979\pi\) | |||||||
\(174\) | 3.53449 | + | 13.2016i | 0.267949 | + | 1.00081i | ||||
\(175\) | 10.7027 | − | 6.60521i | 0.809048 | − | 0.499307i | ||||
\(176\) | 2.67940 | + | 17.8752i | 0.201967 | + | 1.34739i | ||||
\(177\) | −5.80469 | + | 10.0540i | −0.436308 | + | 0.755707i | ||||
\(178\) | 2.88206 | + | 1.00913i | 0.216020 | + | 0.0756379i | ||||
\(179\) | 1.53555 | − | 2.25225i | 0.114773 | − | 0.168341i | −0.764554 | − | 0.644560i | \(-0.777041\pi\) |
0.879327 | + | 0.476219i | \(0.157993\pi\) | |||||||
\(180\) | 0.992787 | 0.000403274i | 0.0739979 | 3.00583e-5i | ||||||
\(181\) | −21.4721 | + | 4.90087i | −1.59601 | + | 0.364279i | −0.925836 | − | 0.377925i | \(-0.876638\pi\) |
−0.670174 | + | 0.742204i | \(0.733780\pi\) | |||||||
\(182\) | −6.23961 | + | 12.6874i | −0.462511 | + | 0.940451i | ||||
\(183\) | −9.24591 | − | 2.11032i | −0.683477 | − | 0.155999i | ||||
\(184\) | 10.6273 | − | 5.60842i | 0.783456 | − | 0.413458i | ||||
\(185\) | −0.768827 | − | 2.49247i | −0.0565253 | − | 0.183250i | ||||
\(186\) | −11.9724 | + | 4.18661i | −0.877861 | + | 0.306977i | ||||
\(187\) | 8.71973 | + | 2.68968i | 0.637650 | + | 0.196689i | ||||
\(188\) | −8.18962 | − | 8.83350i | −0.597289 | − | 0.644249i | ||||
\(189\) | 2.11603 | + | 1.58821i | 0.153919 | + | 0.115525i | ||||
\(190\) | 0.674397 | + | 0.127745i | 0.0489259 | + | 0.00926757i | ||||
\(191\) | 6.87918 | − | 2.69988i | 0.497760 | − | 0.195356i | −0.103161 | − | 0.994665i | \(-0.532896\pi\) |
0.600921 | + | 0.799308i | \(0.294801\pi\) | |||||||
\(192\) | 7.44342 | + | 2.93180i | 0.537183 | + | 0.211585i | ||||
\(193\) | 10.5021 | + | 1.58294i | 0.755958 | + | 0.113942i | 0.515703 | − | 0.856768i | \(-0.327531\pi\) |
0.240255 | + | 0.970710i | \(0.422769\pi\) | |||||||
\(194\) | 6.19311 | + | 0.232990i | 0.444640 | + | 0.0167277i | ||||
\(195\) | 1.87573 | 0.134324 | ||||||||
\(196\) | −12.5114 | − | 6.28202i | −0.893675 | − | 0.448716i | ||||
\(197\) | −11.7585 | −0.837760 | −0.418880 | − | 0.908042i | \(-0.637577\pi\) | ||||
−0.418880 | + | 0.908042i | \(0.637577\pi\) | |||||||
\(198\) | 6.38592 | + | 0.240243i | 0.453827 | + | 0.0170733i | ||||
\(199\) | −12.9777 | − | 1.95607i | −0.919963 | − | 0.138662i | −0.328047 | − | 0.944661i | \(-0.606390\pi\) |
−0.591916 | + | 0.805999i | \(0.701628\pi\) | |||||||
\(200\) | −7.97743 | − | 10.8228i | −0.564090 | − | 0.765290i | ||||
\(201\) | 12.0566 | − | 4.73188i | 0.850409 | − | 0.333761i | ||||
\(202\) | 13.3169 | + | 2.52250i | 0.936976 | + | 0.177483i | ||||
\(203\) | −24.7491 | + | 6.41813i | −1.73705 | + | 0.450465i | ||||
\(204\) | 2.96178 | − | 2.74589i | 0.207366 | − | 0.192251i | ||||
\(205\) | −1.69109 | − | 0.521632i | −0.118111 | − | 0.0364324i | ||||
\(206\) | 21.5338 | − | 7.53010i | 1.50033 | − | 0.524647i | ||||
\(207\) | −1.25225 | − | 4.05970i | −0.0870374 | − | 0.282168i | ||||
\(208\) | 14.0656 | + | 5.53352i | 0.975271 | + | 0.383680i | ||||
\(209\) | 4.30742 | + | 0.983141i | 0.297951 | + | 0.0680053i | ||||
\(210\) | −0.0153495 | + | 1.85727i | −0.00105922 | + | 0.128164i | ||||
\(211\) | 9.56913 | − | 2.18409i | 0.658766 | − | 0.150359i | 0.119947 | − | 0.992780i | \(-0.461728\pi\) |
0.538819 | + | 0.842421i | \(0.318871\pi\) | |||||||
\(212\) | 0.00618768 | − | 15.2329i | 0.000424972 | − | 1.04620i | ||||
\(213\) | 5.86830 | − | 8.60722i | 0.402089 | − | 0.589757i | ||||
\(214\) | −1.18148 | − | 0.413686i | −0.0807641 | − | 0.0282790i | ||||
\(215\) | 0.911955 | − | 1.57955i | 0.0621948 | − | 0.107725i | ||||
\(216\) | 1.50627 | − | 2.39398i | 0.102489 | − | 0.162890i | ||||
\(217\) | −7.65617 | − | 22.4592i | −0.519735 | − | 1.52463i | ||||
\(218\) | 7.57396 | + | 28.2894i | 0.512973 | + | 1.91600i | ||||
\(219\) | 2.24611 | + | 3.29444i | 0.151778 | + | 0.222617i | ||||
\(220\) | 2.52562 | + | 3.70764i | 0.170277 | + | 0.249969i | ||||
\(221\) | 5.59376 | − | 5.19025i | 0.376277 | − | 0.349134i | ||||
\(222\) | −7.17755 | − | 1.92478i | −0.481726 | − | 0.129183i | ||||
\(223\) | −20.5864 | − | 9.91387i | −1.37856 | − | 0.663882i | −0.409872 | − | 0.912143i | \(-0.634426\pi\) |
−0.968693 | + | 0.248262i | \(0.920141\pi\) | |||||||
\(224\) | −5.59415 | + | 13.8818i | −0.373775 | + | 0.927519i | ||||
\(225\) | −4.28284 | + | 2.06251i | −0.285523 | + | 0.137500i | ||||
\(226\) | −2.61330 | + | 0.493914i | −0.173834 | + | 0.0328547i | ||||
\(227\) | −7.41704 | − | 12.8467i | −0.492287 | − | 0.852665i | 0.507674 | − | 0.861549i | \(-0.330505\pi\) |
−0.999961 | + | 0.00888398i | \(0.997172\pi\) | |||||||
\(228\) | 1.33067 | − | 1.43295i | 0.0881254 | − | 0.0948993i | ||||
\(229\) | −2.20871 | − | 14.6538i | −0.145956 | − | 0.968352i | −0.935161 | − | 0.354223i | \(-0.884745\pi\) |
0.789205 | − | 0.614129i | \(-0.210493\pi\) | |||||||
\(230\) | 1.77152 | − | 2.39930i | 0.116810 | − | 0.158205i | ||||
\(231\) | −0.543320 | + | 11.9431i | −0.0357478 | + | 0.785795i | ||||
\(232\) | 9.01184 | + | 25.8048i | 0.591656 | + | 1.69417i | ||||
\(233\) | 1.31204 | − | 17.5079i | 0.0859545 | − | 1.14698i | −0.772819 | − | 0.634627i | \(-0.781154\pi\) |
0.858773 | − | 0.512356i | \(-0.171227\pi\) | |||||||
\(234\) | 2.84406 | − | 4.52425i | 0.185922 | − | 0.295759i | ||||
\(235\) | −2.78305 | − | 1.09227i | −0.181546 | − | 0.0712517i | ||||
\(236\) | −10.0827 | + | 20.9153i | −0.656331 | + | 1.36147i | ||||
\(237\) | −4.54575 | − | 3.62511i | −0.295278 | − | 0.235477i | ||||
\(238\) | 5.09339 | + | 5.58117i | 0.330155 | + | 0.361774i | ||||
\(239\) | −5.03450 | + | 4.01488i | −0.325655 | + | 0.259701i | −0.772646 | − | 0.634837i | \(-0.781067\pi\) |
0.446991 | + | 0.894538i | \(0.352496\pi\) | |||||||
\(240\) | 1.98014 | − | 0.146773i | 0.127818 | − | 0.00947419i | ||||
\(241\) | −12.7739 | + | 0.957272i | −0.822840 | + | 0.0616633i | −0.479493 | − | 0.877546i | \(-0.659179\pi\) |
−0.343346 | + | 0.939209i | \(0.611560\pi\) | |||||||
\(242\) | 7.08449 | + | 11.2800i | 0.455409 | + | 0.725105i | ||||
\(243\) | −0.733052 | − | 0.680173i | −0.0470253 | − | 0.0436331i | ||||
\(244\) | −18.7544 | − | 2.83456i | −1.20063 | − | 0.181464i | ||||
\(245\) | −3.47430 | − | 0.0560195i | −0.221965 | − | 0.00357895i | ||||
\(246\) | −3.82227 | + | 3.28798i | −0.243699 | + | 0.209634i | ||||
\(247\) | 2.51301 | − | 2.70838i | 0.159899 | − | 0.172330i | ||||
\(248\) | −23.2563 | + | 10.1298i | −1.47678 | + | 0.643240i | ||||
\(249\) | 0.803548 | + | 10.7226i | 0.0509228 | + | 0.679517i | ||||
\(250\) | −6.05296 | − | 3.20066i | −0.382823 | − | 0.202427i | ||||
\(251\) | −8.69846 | − | 10.9075i | −0.549042 | − | 0.688477i | 0.427448 | − | 0.904040i | \(-0.359413\pi\) |
−0.976490 | + | 0.215563i | \(0.930841\pi\) | |||||||
\(252\) | 4.45644 | + | 2.85309i | 0.280730 | + | 0.179728i | ||||
\(253\) | 11.9695 | − | 15.0092i | 0.752513 | − | 0.943622i | ||||
\(254\) | 9.49961 | − | 4.14234i | 0.596058 | − | 0.259914i | ||||
\(255\) | 0.366225 | − | 0.933127i | 0.0229339 | − | 0.0584347i | ||||
\(256\) | 15.2815 | + | 4.74092i | 0.955093 | + | 0.296307i | ||||
\(257\) | 9.08110 | + | 0.680534i | 0.566463 | + | 0.0424506i | 0.354884 | − | 0.934910i | \(-0.384520\pi\) |
0.211579 | + | 0.977361i | \(0.432139\pi\) | |||||||
\(258\) | −2.42713 | − | 4.59461i | −0.151106 | − | 0.286048i | ||||
\(259\) | 3.70634 | − | 13.3993i | 0.230301 | − | 0.832589i | ||||
\(260\) | 3.74109 | − | 0.278828i | 0.232012 | − | 0.0172922i | ||||
\(261\) | 9.55578 | − | 1.44030i | 0.591488 | − | 0.0891525i | ||||
\(262\) | −2.18628 | − | 19.4392i | −0.135069 | − | 1.20096i | ||||
\(263\) | −9.53794 | + | 5.50673i | −0.588134 | + | 0.339560i | −0.764359 | − | 0.644790i | \(-0.776945\pi\) |
0.176225 | + | 0.984350i | \(0.443611\pi\) | |||||||
\(264\) | 12.7722 | − | 0.470110i | 0.786076 | − | 0.0289333i | ||||
\(265\) | −1.64041 | − | 3.40635i | −0.100770 | − | 0.209250i | ||||
\(266\) | 2.66116 | + | 2.51044i | 0.163166 | + | 0.153925i | ||||
\(267\) | 0.936860 | − | 1.94541i | 0.0573349 | − | 0.119057i | ||||
\(268\) | 23.3432 | − | 11.2298i | 1.42591 | − | 0.685969i | ||||
\(269\) | 13.3730 | + | 14.4127i | 0.815366 | + | 0.878756i | 0.994464 | − | 0.105075i | \(-0.0335084\pi\) |
−0.179098 | + | 0.983831i | \(0.557318\pi\) | |||||||
\(270\) | 0.0787414 | − | 0.697576i | 0.00479205 | − | 0.0424531i | ||||
\(271\) | 0.587792 | − | 0.400750i | 0.0357058 | − | 0.0243438i | −0.545336 | − | 0.838218i | \(-0.683598\pi\) |
0.581041 | + | 0.813874i | \(0.302645\pi\) | |||||||
\(272\) | 5.49899 | − | 5.91686i | 0.333425 | − | 0.358762i | ||||
\(273\) | 8.42202 | + | 5.38709i | 0.509724 | + | 0.326041i | ||||
\(274\) | −4.68754 | − | 2.04629i | −0.283185 | − | 0.123621i | ||||
\(275\) | −18.6024 | − | 10.7401i | −1.12176 | − | 0.647651i | ||||
\(276\) | −3.10105 | − | 7.91079i | −0.186661 | − | 0.476173i | ||||
\(277\) | −4.90883 | − | 3.34678i | −0.294943 | − | 0.201089i | 0.406803 | − | 0.913516i | \(-0.366644\pi\) |
−0.701746 | + | 0.712427i | \(0.747596\pi\) | |||||||
\(278\) | −12.6567 | − | 10.8965i | −0.759100 | − | 0.653527i | ||||
\(279\) | 1.99567 | + | 8.74361i | 0.119478 | + | 0.523466i | ||||
\(280\) | 0.245469 | + | 3.70655i | 0.0146696 | + | 0.221509i | ||||
\(281\) | −1.73223 | + | 7.58938i | −0.103336 | + | 0.452745i | 0.896615 | + | 0.442812i | \(0.146019\pi\) |
−0.999951 | + | 0.00993292i | \(0.996838\pi\) | |||||||
\(282\) | −6.85431 | + | 5.05656i | −0.408168 | + | 0.301114i | ||||
\(283\) | 18.8108 | − | 5.80236i | 1.11819 | − | 0.344914i | 0.320055 | − | 0.947399i | \(-0.396299\pi\) |
0.798130 | + | 0.602485i | \(0.205823\pi\) | |||||||
\(284\) | 10.4247 | − | 18.0391i | 0.618591 | − | 1.07043i | ||||
\(285\) | 0.143060 | − | 0.463788i | 0.00847412 | − | 0.0274724i | ||||
\(286\) | 24.1310 | − | 0.898009i | 1.42689 | − | 0.0531004i | ||||
\(287\) | −6.09486 | − | 7.19892i | −0.359768 | − | 0.424939i | ||||
\(288\) | 2.64835 | − | 4.99863i | 0.156055 | − | 0.294547i | ||||
\(289\) | 4.72093 | + | 12.0287i | 0.277702 | + | 0.707573i | ||||
\(290\) | 4.79603 | + | 4.79798i | 0.281633 | + | 0.281747i | ||||
\(291\) | 0.653146 | − | 4.33334i | 0.0382881 | − | 0.254025i | ||||
\(292\) | 4.96951 | + | 6.23676i | 0.290819 | + | 0.364979i | ||||
\(293\) | − | 16.7907i | − | 0.980924i | −0.871462 | − | 0.490462i | \(-0.836828\pi\) | ||
0.871462 | − | 0.490462i | \(-0.163172\pi\) | |||||||
\(294\) | −5.40298 | + | 8.29504i | −0.315108 | + | 0.483777i | ||||
\(295\) | 5.76282i | 0.335525i | ||||||||
\(296\) | −14.6015 | − | 2.77197i | −0.848696 | − | 0.161118i | ||||
\(297\) | 0.673480 | − | 4.46825i | 0.0390793 | − | 0.259274i | ||||
\(298\) | −16.0863 | + | 16.0797i | −0.931853 | + | 0.931474i | ||||
\(299\) | −5.86507 | − | 14.9440i | −0.339186 | − | 0.864231i | ||||
\(300\) | −8.23540 | + | 4.75025i | −0.475471 | + | 0.274256i | ||||
\(301\) | 8.63114 | − | 4.47305i | 0.497490 | − | 0.257822i | ||||
\(302\) | −0.971411 | − | 26.1034i | −0.0558984 | − | 1.50208i | ||||
\(303\) | 2.82492 | − | 9.15815i | 0.162287 | − | 0.526122i | ||||
\(304\) | 2.44096 | − | 3.05577i | 0.139999 | − | 0.175261i | ||||
\(305\) | −4.49849 | + | 1.38760i | −0.257583 | + | 0.0794538i | ||||
\(306\) | −1.69541 | − | 2.29817i | −0.0969200 | − | 0.131378i | ||||
\(307\) | 4.05420 | − | 17.7626i | 0.231385 | − | 1.01377i | −0.717106 | − | 0.696964i | \(-0.754534\pi\) |
0.948492 | − | 0.316802i | \(-0.102609\pi\) | |||||||
\(308\) | 0.691701 | + | 23.9008i | 0.0394133 | + | 1.36187i | ||||
\(309\) | −3.58945 | − | 15.7264i | −0.204196 | − | 0.894643i | ||||
\(310\) | −4.10772 | + | 4.77129i | −0.233303 | + | 0.270991i | ||||
\(311\) | 9.75771 | + | 6.65269i | 0.553309 | + | 0.377240i | 0.807458 | − | 0.589925i | \(-0.200843\pi\) |
−0.254149 | + | 0.967165i | \(0.581795\pi\) | |||||||
\(312\) | 4.99985 | − | 9.44624i | 0.283061 | − | 0.534788i | ||||
\(313\) | 22.2985 | + | 12.8740i | 1.26038 | + | 0.727683i | 0.973149 | − | 0.230177i | \(-0.0739305\pi\) |
0.287235 | + | 0.957860i | \(0.407264\pi\) | |||||||
\(314\) | −3.46845 | + | 7.94536i | −0.195736 | + | 0.448383i | ||||
\(315\) | 1.30385 | + | 0.157562i | 0.0734635 | + | 0.00887763i | ||||
\(316\) | −9.60523 | − | 6.55445i | −0.540336 | − | 0.368717i | ||||
\(317\) | 11.1324 | − | 7.58995i | 0.625259 | − | 0.426294i | −0.208809 | − | 0.977957i | \(-0.566959\pi\) |
0.834068 | + | 0.551662i | \(0.186006\pi\) | |||||||
\(318\) | −10.7033 | − | 1.20818i | −0.600213 | − | 0.0677512i | ||||
\(319\) | 29.7015 | + | 32.0106i | 1.66297 | + | 1.79225i | ||||
\(320\) | 3.92751 | − | 0.587083i | 0.219555 | − | 0.0328189i | ||||
\(321\) | −0.384058 | + | 0.797504i | −0.0214360 | + | 0.0445123i | ||||
\(322\) | 14.8449 | − | 5.68505i | 0.827272 | − | 0.316816i | ||||
\(323\) | −0.856696 | − | 1.77895i | −0.0476678 | − | 0.0989833i | ||||
\(324\) | −1.56316 | − | 1.24761i | −0.0868420 | − | 0.0693119i | ||||
\(325\) | −15.5560 | + | 8.98125i | −0.862891 | + | 0.498190i | ||||
\(326\) | 10.8534 | − | 1.22066i | 0.601116 | − | 0.0676058i | ||||
\(327\) | 20.4769 | − | 3.08639i | 1.13237 | − | 0.170678i | ||||
\(328\) | −7.13463 | + | 7.12594i | −0.393944 | + | 0.393464i | ||||
\(329\) | −9.35890 | − | 12.8972i | −0.515973 | − | 0.711044i | ||||
\(330\) | 2.80486 | − | 1.48169i | 0.154403 | − | 0.0815641i | ||||
\(331\) | 6.22029 | + | 0.466146i | 0.341898 | + | 0.0256217i | 0.244573 | − | 0.969631i | \(-0.421352\pi\) |
0.0973252 | + | 0.995253i | \(0.468971\pi\) | |||||||
\(332\) | 3.19657 | + | 21.2664i | 0.175434 | + | 1.16715i | ||||
\(333\) | −1.91973 | + | 4.89138i | −0.105200 | + | 0.268046i | ||||
\(334\) | −10.8474 | − | 24.8763i | −0.593543 | − | 1.36117i | ||||
\(335\) | 4.00858 | − | 5.02660i | 0.219012 | − | 0.274632i | ||||
\(336\) | 9.31235 | + | 5.02794i | 0.508030 | + | 0.274297i | ||||
\(337\) | −13.4852 | − | 16.9099i | −0.734585 | − | 0.921141i | 0.264479 | − | 0.964391i | \(-0.414800\pi\) |
−0.999064 | + | 0.0432506i | \(0.986229\pi\) | |||||||
\(338\) | 0.845338 | − | 1.59867i | 0.0459803 | − | 0.0869563i | ||||
\(339\) | 0.140537 | + | 1.87534i | 0.00763294 | + | 0.101855i | ||||
\(340\) | 0.591715 | − | 1.91553i | 0.0320903 | − | 0.103884i | ||||
\(341\) | −27.5647 | + | 29.7076i | −1.49271 | + | 1.60876i | ||||
\(342\) | −0.901739 | − | 1.04827i | −0.0487605 | − | 0.0566840i | ||||
\(343\) | −15.4387 | − | 10.2297i | −0.833611 | − | 0.552352i | ||||
\(344\) | −5.52381 | − | 8.80300i | −0.297824 | − | 0.474626i | ||||
\(345\) | −1.54593 | − | 1.43442i | −0.0832302 | − | 0.0772263i | ||||
\(346\) | 1.73556 | − | 1.09004i | 0.0933045 | − | 0.0586007i | ||||
\(347\) | 18.0719 | − | 1.35430i | 0.970148 | − | 0.0727025i | 0.419781 | − | 0.907625i | \(-0.362107\pi\) |
0.550367 | + | 0.834923i | \(0.314488\pi\) | |||||||
\(348\) | 18.8446 | − | 4.29311i | 1.01018 | − | 0.230135i | ||||
\(349\) | 13.7251 | − | 10.9454i | 0.734687 | − | 0.585893i | −0.183040 | − | 0.983105i | \(-0.558594\pi\) |
0.917727 | + | 0.397212i | \(0.130022\pi\) | |||||||
\(350\) | −8.76556 | − | 15.4764i | −0.468539 | − | 0.827247i | ||||
\(351\) | −2.95432 | − | 2.35599i | −0.157690 | − | 0.125754i | ||||
\(352\) | 25.4039 | − | 2.83621i | 1.35403 | − | 0.151170i | ||||
\(353\) | −19.0337 | − | 7.47016i | −1.01306 | − | 0.397596i | −0.200012 | − | 0.979794i | \(-0.564098\pi\) |
−0.813048 | + | 0.582197i | \(0.802193\pi\) | |||||||
\(354\) | 13.8999 | + | 8.73781i | 0.738770 | + | 0.464409i | ||||
\(355\) | 0.386437 | − | 5.15664i | 0.0205099 | − | 0.273686i | ||||
\(356\) | 1.57935 | − | 4.01932i | 0.0837055 | − | 0.213024i | ||||
\(357\) | 4.32428 | − | 3.13793i | 0.228865 | − | 0.166077i | ||||
\(358\) | −3.10126 | − | 2.28981i | −0.163907 | − | 0.121020i | ||||
\(359\) | 4.41792 | + | 29.3110i | 0.233169 | + | 1.54697i | 0.732624 | + | 0.680634i | \(0.238295\pi\) |
−0.499455 | + | 0.866340i | \(0.666466\pi\) | |||||||
\(360\) | 0.0533526 | − | 1.40300i | 0.00281193 | − | 0.0739445i | ||||
\(361\) | 9.02200 | + | 15.6266i | 0.474842 | + | 0.822451i | ||||
\(362\) | 5.78439 | + | 30.6053i | 0.304021 | + | 1.60858i | ||||
\(363\) | 8.48606 | − | 4.08667i | 0.445403 | − | 0.214495i | ||||
\(364\) | 17.5982 | + | 9.49244i | 0.922399 | + | 0.497539i | ||||
\(365\) | 1.78325 | + | 0.858766i | 0.0933393 | + | 0.0449499i | ||||
\(366\) | −3.47390 | + | 12.9542i | −0.181584 | + | 0.677129i | ||||
\(367\) | 9.19190 | − | 8.52884i | 0.479813 | − | 0.445202i | −0.402809 | − | 0.915284i | \(-0.631966\pi\) |
0.882623 | + | 0.470082i | \(0.155776\pi\) | |||||||
\(368\) | −7.36088 | − | 15.3168i | −0.383712 | − | 0.798446i | ||||
\(369\) | 2.00832 | + | 2.94566i | 0.104549 | + | 0.153345i | ||||
\(370\) | −3.56328 | + | 0.954001i | −0.185246 | + | 0.0495962i | ||||
\(371\) | 2.41757 | − | 20.0057i | 0.125514 | − | 1.03864i | ||||
\(372\) | 5.28004 | + | 17.1422i | 0.273757 | + | 0.888781i | ||||
\(373\) | −1.40348 | + | 2.43089i | −0.0726693 | + | 0.125867i | −0.900070 | − | 0.435745i | \(-0.856485\pi\) |
0.827401 | + | 0.561612i | \(0.189818\pi\) | |||||||
\(374\) | 4.26469 | − | 12.1798i | 0.220522 | − | 0.629805i | ||||
\(375\) | −2.72738 | + | 4.00033i | −0.140841 | + | 0.206576i | ||||
\(376\) | −12.9190 | + | 11.1040i | −0.666249 | + | 0.572647i | ||||
\(377\) | 35.6010 | − | 8.12569i | 1.83354 | − | 0.418494i | ||||
\(378\) | 2.35698 | − | 2.90597i | 0.121230 | − | 0.149467i | ||||
\(379\) | 2.07607 | + | 0.473850i | 0.106641 | + | 0.0243401i | 0.275508 | − | 0.961299i | \(-0.411154\pi\) |
−0.168867 | + | 0.985639i | \(0.554011\pi\) | |||||||
\(380\) | 0.216386 | − | 0.946276i | 0.0111004 | − | 0.0485429i | ||||
\(381\) | −2.15999 | − | 7.00251i | −0.110660 | − | 0.358750i | ||||
\(382\) | −3.44977 | − | 9.86530i | −0.176505 | − | 0.504752i | ||||
\(383\) | 4.53132 | + | 1.39773i | 0.231540 | + | 0.0714205i | 0.408354 | − | 0.912824i | \(-0.366103\pi\) |
−0.176814 | + | 0.984244i | \(0.556579\pi\) | |||||||
\(384\) | 4.53900 | − | 10.3633i | 0.231630 | − | 0.528849i | ||||
\(385\) | 2.73066 | + | 5.26904i | 0.139167 | + | 0.268535i | ||||
\(386\) | 2.79538 | − | 14.7576i | 0.142281 | − | 0.751140i | ||||
\(387\) | −3.42033 | + | 1.34238i | −0.173865 | + | 0.0682371i | ||||
\(388\) | 0.658528 | − | 8.73980i | 0.0334317 | − | 0.443696i | ||||
\(389\) | 31.0867 | + | 4.68557i | 1.57616 | + | 0.237568i | 0.878102 | − | 0.478473i | \(-0.158810\pi\) |
0.698058 | + | 0.716041i | \(0.254048\pi\) | |||||||
\(390\) | 0.0997255 | − | 2.65081i | 0.00504980 | − | 0.134229i | ||||
\(391\) | −8.57933 | −0.433876 | ||||||||
\(392\) | −9.54302 | + | 17.3474i | −0.481995 | + | 0.876174i | ||||
\(393\) | −13.8323 | −0.697746 | ||||||||
\(394\) | −0.625156 | + | 16.6173i | −0.0314949 | + | 0.837168i | ||||
\(395\) | −2.85391 | − | 0.430158i | −0.143596 | − | 0.0216436i | ||||
\(396\) | 0.679029 | − | 9.01189i | 0.0341225 | − | 0.452865i | ||||
\(397\) | −9.02195 | + | 3.54085i | −0.452799 | + | 0.177710i | −0.580770 | − | 0.814067i | \(-0.697249\pi\) |
0.127972 | + | 0.991778i | \(0.459153\pi\) | |||||||
\(398\) | −3.45432 | + | 18.2362i | −0.173149 | + | 0.914100i | ||||
\(399\) | 1.97433 | − | 1.67154i | 0.0988402 | − | 0.0836815i | ||||
\(400\) | −15.7191 | + | 10.6984i | −0.785956 | + | 0.534921i | ||||
\(401\) | −30.3262 | − | 9.35439i | −1.51442 | − | 0.467136i | −0.577413 | − | 0.816452i | \(-0.695938\pi\) |
−0.937005 | + | 0.349317i | \(0.886414\pi\) | |||||||
\(402\) | −6.04615 | − | 17.2902i | −0.301555 | − | 0.862355i | ||||
\(403\) | 9.98906 | + | 32.3837i | 0.497591 | + | 1.61315i | ||||
\(404\) | 4.27284 | − | 18.6856i | 0.212582 | − | 0.929642i | ||||
\(405\) | −0.483948 | − | 0.110458i | −0.0240476 | − | 0.00548870i | ||||
\(406\) | 7.75438 | + | 35.3171i | 0.384843 | + | 1.75276i | ||||
\(407\) | −23.1488 | + | 5.28357i | −1.14744 | + | 0.261897i | ||||
\(408\) | −3.72306 | − | 4.33161i | −0.184319 | − | 0.214447i | ||||
\(409\) | −18.3177 | + | 26.8671i | −0.905750 | + | 1.32849i | 0.0384991 | + | 0.999259i | \(0.487742\pi\) |
−0.944249 | + | 0.329232i | \(0.893210\pi\) | |||||||
\(410\) | −0.827087 | + | 2.36214i | −0.0408469 | + | 0.116658i | ||||
\(411\) | −1.80833 | + | 3.13211i | −0.0891981 | + | 0.154496i | ||||
\(412\) | −9.49677 | − | 30.8322i | −0.467872 | − | 1.51899i | ||||
\(413\) | −16.5508 | + | 25.8750i | −0.814411 | + | 1.27323i | ||||
\(414\) | −5.80380 | + | 1.55386i | −0.285241 | + | 0.0763680i | ||||
\(415\) | 3.00675 | + | 4.41009i | 0.147596 | + | 0.216483i | ||||
\(416\) | 8.56786 | − | 19.5835i | 0.420074 | − | 0.960158i | ||||
\(417\) | −8.65694 | + | 8.03246i | −0.423932 | + | 0.393351i | ||||
\(418\) | 1.61840 | − | 6.03504i | 0.0791584 | − | 0.295183i | ||||
\(419\) | 21.5696 | + | 10.3874i | 1.05375 | + | 0.507457i | 0.878834 | − | 0.477127i | \(-0.158322\pi\) |
0.174911 | + | 0.984584i | \(0.444036\pi\) | |||||||
\(420\) | 2.62390 | + | 0.120436i | 0.128033 | + | 0.00587668i | ||||
\(421\) | 9.80028 | − | 4.71957i | 0.477637 | − | 0.230018i | −0.179545 | − | 0.983750i | \(-0.557463\pi\) |
0.657182 | + | 0.753732i | \(0.271748\pi\) | |||||||
\(422\) | −2.57783 | − | 13.6393i | −0.125487 | − | 0.663953i | ||||
\(423\) | 3.01144 | + | 5.21597i | 0.146421 | + | 0.253609i | ||||
\(424\) | −21.5270 | − | 0.818620i | −1.04545 | − | 0.0397557i | ||||
\(425\) | 1.43072 | + | 9.49222i | 0.0694002 | + | 0.460440i | ||||
\(426\) | −11.8518 | − | 8.75078i | −0.574224 | − | 0.423977i | ||||
\(427\) | −24.1834 | − | 6.68931i | −1.17031 | − | 0.323719i | ||||
\(428\) | −0.647442 | + | 1.64769i | −0.0312953 | + | 0.0796439i | ||||
\(429\) | 1.27601 | − | 17.0272i | 0.0616066 | − | 0.822083i | ||||
\(430\) | −2.18376 | − | 1.37277i | −0.105310 | − | 0.0662007i | ||||
\(431\) | −24.9392 | − | 9.78790i | −1.20128 | − | 0.471467i | −0.321526 | − | 0.946901i | \(-0.604196\pi\) |
−0.879751 | + | 0.475434i | \(0.842291\pi\) | |||||||
\(432\) | −3.30312 | − | 2.25596i | −0.158922 | − | 0.108540i | ||||
\(433\) | 12.0406 | + | 9.60208i | 0.578636 | + | 0.461447i | 0.868547 | − | 0.495607i | \(-0.165054\pi\) |
−0.289911 | + | 0.957054i | \(0.593626\pi\) | |||||||
\(434\) | −32.1467 | + | 9.62574i | −1.54309 | + | 0.462050i | ||||
\(435\) | 3.75045 | − | 2.99088i | 0.179820 | − | 0.143402i | ||||
\(436\) | 40.3816 | − | 9.19959i | 1.93393 | − | 0.440580i | ||||
\(437\) | −4.14232 | + | 0.310424i | −0.198154 | + | 0.0148496i | ||||
\(438\) | 4.77516 | − | 2.99908i | 0.228166 | − | 0.143302i | ||||
\(439\) | 8.93528 | + | 8.29073i | 0.426458 | + | 0.395695i | 0.863991 | − | 0.503507i | \(-0.167957\pi\) |
−0.437533 | + | 0.899202i | \(0.644148\pi\) | |||||||
\(440\) | 5.37396 | − | 3.37212i | 0.256193 | − | 0.160759i | ||||
\(441\) | 5.40175 | + | 4.45209i | 0.257226 | + | 0.212004i | ||||
\(442\) | −7.03753 | − | 8.18112i | −0.334741 | − | 0.389136i | ||||
\(443\) | −24.5386 | + | 26.4464i | −1.16587 | + | 1.25650i | −0.205224 | + | 0.978715i | \(0.565792\pi\) |
−0.960642 | + | 0.277790i | \(0.910398\pi\) | |||||||
\(444\) | −3.10173 | + | 10.0411i | −0.147202 | + | 0.476529i | ||||
\(445\) | −0.0800982 | − | 1.06884i | −0.00379702 | − | 0.0506677i | ||||
\(446\) | −15.1049 | + | 28.5658i | −0.715238 | + | 1.35263i | ||||
\(447\) | 10.0276 | + | 12.5742i | 0.474289 | + | 0.594739i | ||||
\(448\) | 19.3206 | + | 8.64378i | 0.912812 | + | 0.408380i | ||||
\(449\) | 19.5716 | − | 24.5420i | 0.923641 | − | 1.15821i | −0.0634393 | − | 0.997986i | \(-0.520207\pi\) |
0.987081 | − | 0.160224i | \(-0.0512216\pi\) | |||||||
\(450\) | 2.68706 | + | 6.16222i | 0.126669 | + | 0.290490i | ||||
\(451\) | −5.88560 | + | 14.9963i | −0.277142 | + | 0.706147i | ||||
\(452\) | 0.559067 | + | 3.71942i | 0.0262963 | + | 0.174947i | ||||
\(453\) | −18.4190 | − | 1.38031i | −0.865401 | − | 0.0648528i | ||||
\(454\) | −18.5495 | + | 9.79886i | −0.870570 | + | 0.459883i | ||||
\(455\) | 4.95759 | + | 0.225534i | 0.232416 | + | 0.0105732i | ||||
\(456\) | −1.95432 | − | 1.95670i | −0.0915192 | − | 0.0916308i | ||||
\(457\) | −4.76319 | + | 0.717936i | −0.222813 | + | 0.0335836i | −0.259500 | − | 0.965743i | \(-0.583558\pi\) |
0.0366869 | + | 0.999327i | \(0.488320\pi\) | |||||||
\(458\) | −20.8264 | + | 2.34229i | −0.973155 | + | 0.109448i | ||||
\(459\) | −1.74886 | + | 1.00970i | −0.0816297 | + | 0.0471289i | ||||
\(460\) | −3.29654 | − | 2.63109i | −0.153702 | − | 0.122675i | ||||
\(461\) | 13.8473 | + | 28.7542i | 0.644933 | + | 1.33922i | 0.925267 | + | 0.379316i | \(0.123841\pi\) |
−0.280334 | + | 0.959903i | \(0.590445\pi\) | |||||||
\(462\) | 16.8492 | + | 1.40279i | 0.783896 | + | 0.0652639i | ||||
\(463\) | −7.98154 | + | 16.5738i | −0.370934 | + | 0.770251i | −0.999975 | − | 0.00712057i | \(-0.997733\pi\) |
0.629041 | + | 0.777372i | \(0.283448\pi\) | |||||||
\(464\) | 36.9468 | − | 11.3637i | 1.71521 | − | 0.527547i | ||||
\(465\) | 3.02805 | + | 3.26346i | 0.140423 | + | 0.151340i | ||||
\(466\) | −24.6727 | − | 2.78502i | −1.14294 | − | 0.129014i | ||||
\(467\) | 16.4262 | − | 11.1992i | 0.760116 | − | 0.518238i | −0.120129 | − | 0.992758i | \(-0.538331\pi\) |
0.880245 | + | 0.474520i | \(0.157378\pi\) | |||||||
\(468\) | −6.24252 | − | 4.25980i | −0.288561 | − | 0.196909i | ||||
\(469\) | 32.4348 | − | 11.0568i | 1.49770 | − | 0.510555i | ||||
\(470\) | −1.69157 | + | 3.87498i | −0.0780264 | + | 0.178739i | ||||
\(471\) | 5.30892 | + | 3.06510i | 0.244622 | + | 0.141233i | ||||
\(472\) | 29.0217 | + | 15.3611i | 1.33583 | + | 0.707050i | ||||
\(473\) | −13.7182 | − | 9.35294i | −0.630766 | − | 0.430049i | ||||
\(474\) | −5.36474 | + | 6.23138i | −0.246411 | + | 0.286217i | ||||
\(475\) | 1.03424 | + | 4.53131i | 0.0474543 | + | 0.207911i | ||||
\(476\) | 8.15819 | − | 6.90132i | 0.373930 | − | 0.316321i | ||||
\(477\) | −1.69482 | + | 7.42550i | −0.0776005 | + | 0.339990i | ||||
\(478\) | 5.40622 | + | 7.32828i | 0.247275 | + | 0.335188i | ||||
\(479\) | −11.9337 | + | 3.68106i | −0.545265 | + | 0.168192i | −0.555136 | − | 0.831759i | \(-0.687334\pi\) |
0.00987156 | + | 0.999951i | \(0.496858\pi\) | |||||||
\(480\) | −0.102146 | − | 2.80617i | −0.00466229 | − | 0.128083i | ||||
\(481\) | −5.85258 | + | 18.9736i | −0.266855 | + | 0.865122i | ||||
\(482\) | 0.673690 | + | 18.1032i | 0.0306858 | + | 0.824576i | ||||
\(483\) | −2.82159 | − | 10.8804i | −0.128387 | − | 0.495076i | ||||
\(484\) | 16.3177 | − | 9.41219i | 0.741714 | − | 0.427827i | ||||
\(485\) | −0.794741 | − | 2.02497i | −0.0360873 | − | 0.0919490i | ||||
\(486\) | −1.00020 | + | 0.999797i | −0.0453701 | + | 0.0453517i | ||||
\(487\) | 2.19485 | − | 14.5619i | 0.0994581 | − | 0.659862i | −0.882436 | − | 0.470432i | \(-0.844098\pi\) |
0.981894 | − | 0.189430i | \(-0.0606639\pi\) | |||||||
\(488\) | −5.00293 | + | 26.3532i | −0.226472 | + | 1.19295i | ||||
\(489\) | − | 7.72292i | − | 0.349242i | ||||||
\(490\) | −0.263883 | + | 4.90695i | −0.0119210 | + | 0.221674i | ||||
\(491\) | − | 11.3901i | − | 0.514030i | −0.966407 | − | 0.257015i | \(-0.917261\pi\) | ||
0.966407 | − | 0.257015i | \(-0.0827390\pi\) | |||||||
\(492\) | 4.44340 | + | 5.57649i | 0.200324 | + | 0.251408i | ||||
\(493\) | 2.90856 | − | 19.2970i | 0.130995 | − | 0.869094i | ||||
\(494\) | −3.69391 | − | 3.69541i | −0.166197 | − | 0.166264i | ||||
\(495\) | −0.819483 | − | 2.08801i | −0.0368330 | − | 0.0938490i | ||||
\(496\) | 13.0791 | + | 33.4047i | 0.587267 | + | 1.49991i | ||||
\(497\) | 16.5449 | − | 22.0434i | 0.742142 | − | 0.988783i | ||||
\(498\) | 15.1961 | − | 0.565505i | 0.680951 | − | 0.0253409i | ||||
\(499\) | 0.797159 | − | 2.58433i | 0.0356858 | − | 0.115690i | −0.935978 | − | 0.352060i | \(-0.885481\pi\) |
0.971663 | + | 0.236369i | \(0.0759576\pi\) | |||||||
\(500\) | −4.84502 | + | 8.38396i | −0.216676 | + | 0.374942i | ||||
\(501\) | −18.3372 | + | 5.65628i | −0.819246 | + | 0.252704i | ||||
\(502\) | −15.8771 | + | 11.7129i | −0.708631 | + | 0.522771i | ||||
\(503\) | 5.32723 | − | 23.3401i | 0.237529 | − | 1.04068i | −0.705692 | − | 0.708519i | \(-0.749364\pi\) |
0.943221 | − | 0.332165i | \(-0.107779\pi\) | |||||||
\(504\) | 4.26895 | − | 6.14622i | 0.190154 | − | 0.273774i | ||||
\(505\) | −1.05862 | − | 4.63813i | −0.0471081 | − | 0.206394i | ||||
\(506\) | −20.5749 | − | 17.7134i | −0.914665 | − | 0.787456i | ||||
\(507\) | −1.05654 | − | 0.720340i | −0.0469228 | − | 0.0319914i | ||||
\(508\) | −5.34895 | − | 13.6452i | −0.237321 | − | 0.605408i | ||||
\(509\) | 2.33733 | + | 1.34946i | 0.103600 | + | 0.0598137i | 0.550905 | − | 0.834568i | \(-0.314283\pi\) |
−0.447305 | + | 0.894382i | \(0.647616\pi\) | |||||||
\(510\) | −1.29924 | − | 0.567165i | −0.0575312 | − | 0.0251145i | ||||
\(511\) | 5.54039 | + | 8.97732i | 0.245092 | + | 0.397133i | ||||
\(512\) | 7.51239 | − | 21.3439i | 0.332004 | − | 0.943278i | ||||
\(513\) | −0.807858 | + | 0.550788i | −0.0356678 | + | 0.0243179i | ||||
\(514\) | 1.44455 | − | 12.7974i | 0.0637163 | − | 0.564467i | ||||
\(515\) | −5.44630 | − | 5.86972i | −0.239993 | − | 0.258651i | ||||
\(516\) | −6.62220 | + | 3.18577i | −0.291526 | + | 0.140246i | ||||
\(517\) | −11.8085 | + | 24.5205i | −0.519336 | + | 1.07841i | ||||
\(518\) | −18.7390 | − | 5.95024i | −0.823343 | − | 0.261439i | ||||
\(519\) | −0.628784 | − | 1.30568i | −0.0276006 | − | 0.0573132i | ||||
\(520\) | −0.195144 | − | 5.30178i | −0.00855762 | − | 0.232499i | ||||
\(521\) | −16.0476 | + | 9.26507i | −0.703057 | + | 0.405910i | −0.808485 | − | 0.588517i | \(-0.799712\pi\) |
0.105428 | + | 0.994427i | \(0.466379\pi\) | |||||||
\(522\) | −1.52741 | − | 13.5809i | −0.0668530 | − | 0.594422i | ||||
\(523\) | −17.0967 | + | 2.57692i | −0.747588 | + | 0.112681i | −0.511777 | − | 0.859118i | \(-0.671013\pi\) |
−0.235811 | + | 0.971799i | \(0.575775\pi\) | |||||||
\(524\) | −27.5880 | + | 2.05617i | −1.20519 | + | 0.0898242i | ||||
\(525\) | −11.5676 | + | 4.93628i | −0.504852 | + | 0.215437i | ||||
\(526\) | 7.27509 | + | 13.7719i | 0.317209 | + | 0.600484i | ||||
\(527\) | 18.0603 | + | 1.35344i | 0.786721 | + | 0.0589566i | ||||
\(528\) | 0.0146842 | − | 18.0749i | 0.000639047 | − | 0.786608i | ||||
\(529\) | 1.80871 | − | 4.60851i | 0.0786394 | − | 0.200370i | ||||
\(530\) | −4.90111 | + | 2.13715i | −0.212891 | + | 0.0928318i | ||||
\(531\) | 7.23834 | − | 9.07659i | 0.314117 | − | 0.393890i | ||||
\(532\) | 3.68927 | − | 3.62731i | 0.159950 | − | 0.157264i | ||||
\(533\) | 8.39946 | + | 10.5326i | 0.363821 | + | 0.456217i | ||||
\(534\) | −2.69947 | − | 1.42741i | −0.116817 | − | 0.0617702i | ||||
\(535\) | 0.0328356 | + | 0.438160i | 0.00141961 | + | 0.0189433i | ||||
\(536\) | −14.6290 | − | 33.5859i | −0.631878 | − | 1.45069i | ||||
\(537\) | −1.85408 | + | 1.99823i | −0.0800096 | + | 0.0862299i | ||||
\(538\) | 21.0792 | − | 18.1326i | 0.908788 | − | 0.781754i | ||||
\(539\) | −2.87201 | + | 31.5004i | −0.123706 | + | 1.35682i | ||||
\(540\) | −0.981638 | − | 0.148366i | −0.0422430 | − | 0.00638465i | ||||
\(541\) | 16.0217 | + | 14.8660i | 0.688827 | + | 0.639138i | 0.944839 | − | 0.327535i | \(-0.106218\pi\) |
−0.256012 | + | 0.966674i | \(0.582409\pi\) | |||||||
\(542\) | −0.535094 | − | 0.851982i | −0.0229843 | − | 0.0365958i | ||||
\(543\) | 21.9627 | − | 1.64588i | 0.942511 | − | 0.0706314i | ||||
\(544\) | −8.06942 | − | 8.08583i | −0.345974 | − | 0.346677i | ||||
\(545\) | 8.03675 | − | 6.40909i | 0.344256 | − | 0.274535i | ||||
\(546\) | 8.06087 | − | 11.6157i | 0.344974 | − | 0.497106i | ||||
\(547\) | −27.6580 | − | 22.0565i | −1.18257 | − | 0.943069i | −0.183371 | − | 0.983044i | \(-0.558701\pi\) |
−0.999201 | + | 0.0399745i | \(0.987272\pi\) | |||||||
\(548\) | −3.14106 | + | 6.51570i | −0.134179 | + | 0.278337i | ||||
\(549\) | 8.82811 | + | 3.46478i | 0.376775 | + | 0.147873i | ||||
\(550\) | −16.1670 | + | 25.7181i | −0.689365 | + | 1.09662i | ||||
\(551\) | 0.706105 | − | 9.42232i | 0.0300811 | − | 0.401404i | ||||
\(552\) | −11.3445 | + | 3.96186i | −0.482854 | + | 0.168628i | ||||
\(553\) | −11.5786 | − | 10.1278i | −0.492373 | − | 0.430678i | ||||
\(554\) | −4.99071 | + | 6.75929i | −0.212035 | + | 0.287175i | ||||
\(555\) | 0.388755 | + | 2.57922i | 0.0165017 | + | 0.109482i | ||||
\(556\) | −16.0720 | + | 17.3073i | −0.681603 | + | 0.733995i | ||||
\(557\) | −12.7866 | − | 22.1471i | −0.541787 | − | 0.938402i | −0.998802 | − | 0.0489432i | \(-0.984415\pi\) |
0.457015 | − | 0.889459i | \(-0.348919\pi\) | |||||||
\(558\) | 12.4627 | − | 2.35545i | 0.527588 | − | 0.0997140i | ||||
\(559\) | −12.5093 | + | 6.02415i | −0.529086 | + | 0.254794i | ||||
\(560\) | 5.25120 | − | 0.149837i | 0.221904 | − | 0.00633179i | ||||
\(561\) | −8.22146 | − | 3.95925i | −0.347110 | − | 0.167160i | ||||
\(562\) | 10.6333 | + | 2.85150i | 0.448540 | + | 0.120283i | ||||
\(563\) | −19.8941 | + | 18.4590i | −0.838437 | + | 0.777956i | −0.977189 | − | 0.212371i | \(-0.931881\pi\) |
0.138752 | + | 0.990327i | \(0.455691\pi\) | |||||||
\(564\) | 6.78158 | + | 9.95544i | 0.285556 | + | 0.419200i | ||||
\(565\) | 0.525869 | + | 0.771308i | 0.0221235 | + | 0.0324492i | ||||
\(566\) | −7.19988 | − | 26.8922i | −0.302633 | − | 1.13036i | ||||
\(567\) | −1.85569 | − | 1.88585i | −0.0779315 | − | 0.0791982i | ||||
\(568\) | −24.9389 | − | 15.6914i | −1.04641 | − | 0.658395i | ||||
\(569\) | 2.15322 | − | 3.72949i | 0.0902678 | − | 0.156348i | −0.817356 | − | 0.576133i | \(-0.804561\pi\) |
0.907624 | + | 0.419785i | \(0.137894\pi\) | |||||||
\(570\) | −0.647825 | − | 0.226832i | −0.0271344 | − | 0.00950093i | ||||
\(571\) | 13.0849 | − | 19.1920i | 0.547584 | − | 0.803158i | −0.448291 | − | 0.893887i | \(-0.647967\pi\) |
0.995876 | + | 0.0907290i | \(0.0289197\pi\) | |||||||
\(572\) | 0.0138719 | − | 34.1500i | 0.000580012 | − | 1.42788i | ||||
\(573\) | −7.20474 | + | 1.64444i | −0.300982 | + | 0.0686973i | ||||
\(574\) | −10.4977 | + | 8.23060i | −0.438164 | + | 0.343538i | ||||
\(575\) | 19.6890 | + | 4.49389i | 0.821089 | + | 0.187408i | ||||
\(576\) | −6.92332 | − | 4.00844i | −0.288472 | − | 0.167018i | ||||
\(577\) | 0.476102 | + | 1.54349i | 0.0198204 | + | 0.0642561i | 0.964943 | − | 0.262460i | \(-0.0845339\pi\) |
−0.945122 | + | 0.326717i | \(0.894058\pi\) | |||||||
\(578\) | 17.2502 | − | 6.03217i | 0.717513 | − | 0.250905i | ||||
\(579\) | −10.1489 | − | 3.13051i | −0.421773 | − | 0.130100i | ||||
\(580\) | 7.03556 | − | 6.52273i | 0.292136 | − | 0.270842i | ||||
\(581\) | 0.834532 | + | 28.4366i | 0.0346222 | + | 1.17975i | ||||
\(582\) | −6.08921 | − | 1.15342i | −0.252406 | − | 0.0478109i | ||||
\(583\) | −32.0375 | + | 12.5738i | −1.32686 | + | 0.520754i | ||||
\(584\) | 9.07809 | − | 6.69139i | 0.375654 | − | 0.276892i | ||||
\(585\) | −1.85478 | − | 0.279563i | −0.0766858 | − | 0.0115585i | ||||
\(586\) | −23.7289 | − | 0.892698i | −0.980231 | − | 0.0368770i | ||||
\(587\) | −28.7136 | −1.18514 | −0.592569 | − | 0.805520i | \(-0.701886\pi\) | ||||
−0.592569 | + | 0.805520i | \(0.701886\pi\) | |||||||
\(588\) | 11.4354 | + | 8.07659i | 0.471589 | + | 0.333073i | ||||
\(589\) | 8.76895 | 0.361318 | ||||||||
\(590\) | 8.14410 | + | 0.306387i | 0.335287 | + | 0.0126138i | ||||
\(591\) | 11.6272 | + | 1.75252i | 0.478279 | + | 0.0720889i | ||||
\(592\) | −4.69369 | + | 20.4877i | −0.192910 | + | 0.842039i | ||||
\(593\) | −20.7233 | + | 8.13331i | −0.851005 | + | 0.333995i | −0.750442 | − | 0.660936i | \(-0.770160\pi\) |
−0.100563 | + | 0.994931i | \(0.532064\pi\) | |||||||
\(594\) | −6.27878 | − | 1.18933i | −0.257622 | − | 0.0487988i | ||||
\(595\) | 1.08014 | − | 2.42224i | 0.0442813 | − | 0.0993020i | ||||
\(596\) | 21.8689 | + | 23.5882i | 0.895784 | + | 0.966212i | ||||
\(597\) | 12.5412 | + | 3.86845i | 0.513277 | + | 0.158325i | ||||
\(598\) | −21.4308 | + | 7.49408i | −0.876372 | + | 0.306456i | ||||
\(599\) | 8.20033 | + | 26.5848i | 0.335056 | + | 1.08623i | 0.953752 | + | 0.300595i | \(0.0971854\pi\) |
−0.618695 | + | 0.785631i | \(0.712338\pi\) | |||||||
\(600\) | 6.27527 | + | 11.8909i | 0.256187 | + | 0.485445i | ||||
\(601\) | −13.4503 | − | 3.06995i | −0.548651 | − | 0.125226i | −0.0607953 | − | 0.998150i | \(-0.519364\pi\) |
−0.487856 | + | 0.872924i | \(0.662221\pi\) | |||||||
\(602\) | −5.86249 | − | 12.4355i | −0.238937 | − | 0.506831i | ||||
\(603\) | −12.6272 | + | 2.88208i | −0.514220 | + | 0.117367i | ||||
\(604\) | −36.9413 | − | 0.0150057i | −1.50312 | − | 0.000610575i | ||||
\(605\) | 2.63377 | − | 3.86303i | 0.107078 | − | 0.157054i | ||||
\(606\) | −12.7922 | − | 4.47911i | −0.519649 | − | 0.181952i | ||||
\(607\) | −4.63281 | + | 8.02427i | −0.188040 | + | 0.325695i | −0.944597 | − | 0.328233i | \(-0.893547\pi\) |
0.756557 | + | 0.653928i | \(0.226880\pi\) | |||||||
\(608\) | −4.18868 | − | 3.61206i | −0.169874 | − | 0.146489i | ||||
\(609\) | 25.4293 | − | 2.65778i | 1.03045 | − | 0.107699i | ||||
\(610\) | 1.72181 | + | 6.43110i | 0.0697140 | + | 0.260388i | ||||
\(611\) | 12.8205 | + | 18.8042i | 0.518662 | + | 0.760737i | ||||
\(612\) | −3.33795 | + | 2.27379i | −0.134929 | + | 0.0919125i | ||||
\(613\) | 30.5892 | − | 28.3827i | 1.23549 | − | 1.14636i | 0.251551 | − | 0.967844i | \(-0.419059\pi\) |
0.983936 | − | 0.178521i | \(-0.0571311\pi\) | |||||||
\(614\) | −24.8868 | − | 6.67382i | −1.00435 | − | 0.269334i | ||||
\(615\) | 1.59446 | + | 0.767850i | 0.0642947 | + | 0.0309627i | ||||
\(616\) | 33.8137 | + | 0.293192i | 1.36239 | + | 0.0118130i | ||||
\(617\) | −35.3061 | + | 17.0025i | −1.42137 | + | 0.684496i | −0.977371 | − | 0.211532i | \(-0.932155\pi\) |
−0.443999 | + | 0.896028i | \(0.646440\pi\) | |||||||
\(618\) | −22.4156 | + | 4.23654i | −0.901687 | + | 0.170419i | ||||
\(619\) | −13.4735 | − | 23.3367i | −0.541544 | − | 0.937982i | −0.998816 | − | 0.0486549i | \(-0.984507\pi\) |
0.457271 | − | 0.889327i | \(-0.348827\pi\) | |||||||
\(620\) | 6.52447 | + | 6.05876i | 0.262029 | + | 0.243325i | ||||
\(621\) | 0.633197 | + | 4.20099i | 0.0254093 | + | 0.168580i | ||||
\(622\) | 9.92046 | − | 13.4360i | 0.397774 | − | 0.538736i | ||||
\(623\) | 2.71005 | − | 5.02911i | 0.108576 | − | 0.201487i | ||||
\(624\) | −13.0837 | − | 7.56808i | −0.523768 | − | 0.302965i | ||||
\(625\) | 1.59658 | − | 21.3049i | 0.0638632 | − | 0.852195i | ||||
\(626\) | 19.3793 | − | 30.8280i | 0.774552 | − | 1.23214i | ||||
\(627\) | −4.11278 | − | 1.61415i | −0.164249 | − | 0.0644628i | ||||
\(628\) | 11.0441 | + | 5.32408i | 0.440707 | + | 0.212454i | ||||
\(629\) | 8.29618 | + | 6.61598i | 0.330790 | + | 0.263796i | ||||
\(630\) | 0.291990 | − | 1.83424i | 0.0116332 | − | 0.0730778i | ||||
\(631\) | −15.0517 | + | 12.0033i | −0.599199 | + | 0.477845i | −0.875495 | − | 0.483227i | \(-0.839464\pi\) |
0.276296 | + | 0.961073i | \(0.410893\pi\) | |||||||
\(632\) | −9.77351 | + | 13.2258i | −0.388769 | + | 0.526093i | ||||
\(633\) | −9.78777 | + | 0.733492i | −0.389029 | + | 0.0291537i | ||||
\(634\) | −10.1344 | − | 16.1360i | −0.402487 | − | 0.640843i | ||||
\(635\) | −2.66656 | − | 2.47420i | −0.105819 | − | 0.0981858i | ||||
\(636\) | −2.27647 | + | 15.0619i | −0.0902678 | + | 0.597241i | ||||
\(637\) | 21.6118 | + | 15.2508i | 0.856292 | + | 0.604259i | ||||
\(638\) | 46.8170 | − | 40.2727i | 1.85350 | − | 1.59441i | ||||
\(639\) | −7.08560 | + | 7.63646i | −0.280302 | + | 0.302094i | ||||
\(640\) | −0.620863 | − | 5.58163i | −0.0245418 | − | 0.220633i | ||||
\(641\) | −0.778351 | − | 10.3864i | −0.0307430 | − | 0.410237i | −0.991252 | − | 0.131986i | \(-0.957864\pi\) |
0.960509 | − | 0.278251i | \(-0.0897546\pi\) | |||||||
\(642\) | 1.10662 | + | 0.585156i | 0.0436750 | + | 0.0230943i | ||||
\(643\) | −8.03147 | − | 10.0711i | −0.316730 | − | 0.397167i | 0.597826 | − | 0.801626i | \(-0.296031\pi\) |
−0.914556 | + | 0.404459i | \(0.867460\pi\) | |||||||
\(644\) | −7.24495 | − | 21.2812i | −0.285491 | − | 0.838597i | ||||
\(645\) | −1.13719 | + | 1.42599i | −0.0447768 | + | 0.0561483i | ||||
\(646\) | −2.55958 | + | 1.11611i | −0.100705 | + | 0.0439130i | ||||
\(647\) | −11.2289 | + | 28.6107i | −0.441452 | + | 1.12480i | 0.521050 | + | 0.853526i | \(0.325541\pi\) |
−0.962502 | + | 0.271275i | \(0.912555\pi\) | |||||||
\(648\) | −1.84625 | + | 2.14274i | −0.0725277 | + | 0.0841749i | ||||
\(649\) | 52.3129 | + | 3.92031i | 2.05346 | + | 0.153886i | ||||
\(650\) | 11.8654 | + | 22.4614i | 0.465399 | + | 0.881010i | ||||
\(651\) | 4.22329 | + | 23.3495i | 0.165524 | + | 0.915138i | ||||
\(652\) | −1.14801 | − | 15.4031i | −0.0449596 | − | 0.603232i | ||||
\(653\) | 5.66385 | − | 0.853687i | 0.221643 | − | 0.0334074i | −0.0372816 | − | 0.999305i | \(-0.511870\pi\) |
0.258925 | + | 0.965897i | \(0.416632\pi\) | |||||||
\(654\) | −3.27305 | − | 29.1023i | −0.127986 | − | 1.13799i | ||||
\(655\) | −5.94635 | + | 3.43313i | −0.232343 | + | 0.134143i | ||||
\(656\) | 9.69116 | + | 10.4616i | 0.378376 | + | 0.408458i | ||||
\(657\) | −1.73001 | − | 3.59240i | −0.0674942 | − | 0.140153i | ||||
\(658\) | −18.7240 | + | 12.5404i | −0.729939 | + | 0.488877i | ||||
\(659\) | 9.39838 | − | 19.5159i | 0.366109 | − | 0.760233i | −0.633803 | − | 0.773495i | \(-0.718507\pi\) |
0.999912 | + | 0.0132612i | \(0.00422129\pi\) | |||||||
\(660\) | −1.94481 | − | 4.04265i | −0.0757018 | − | 0.157360i | ||||
\(661\) | −16.9553 | − | 18.2735i | −0.659487 | − | 0.710757i | 0.311405 | − | 0.950277i | \(-0.399200\pi\) |
−0.970891 | + | 0.239520i | \(0.923010\pi\) | |||||||
\(662\) | 0.989473 | − | 8.76581i | 0.0384570 | − | 0.340693i | ||||
\(663\) | −6.30484 | + | 4.29857i | −0.244860 | + | 0.166943i | ||||
\(664\) | 30.2240 | − | 3.38678i | 1.17292 | − | 0.131432i | ||||
\(665\) | 0.433874 | − | 1.20860i | 0.0168249 | − | 0.0468674i | ||||
\(666\) | 6.81051 | + | 2.97304i | 0.263902 | + | 0.115203i | ||||
\(667\) | −35.5553 | − | 20.5279i | −1.37671 | − | 0.794843i | ||||
\(668\) | −35.7322 | + | 14.0071i | −1.38252 | + | 0.541951i | ||||
\(669\) | 18.8788 | + | 12.8714i | 0.729898 | + | 0.497636i | ||||
\(670\) | −6.89054 | − | 5.93222i | −0.266205 | − | 0.229182i | ||||
\(671\) | 9.53594 | + | 41.7797i | 0.368131 | + | 1.61289i | ||||
\(672\) | 7.60065 | − | 12.8930i | 0.293202 | − | 0.497359i | ||||
\(673\) | −1.25926 | + | 5.51718i | −0.0485410 | + | 0.212672i | −0.993382 | − | 0.114857i | \(-0.963359\pi\) |
0.944841 | + | 0.327529i | \(0.106216\pi\) | |||||||
\(674\) | −24.6143 | + | 18.1584i | −0.948106 | + | 0.699437i | ||||
\(675\) | 4.54240 | − | 1.40115i | 0.174837 | − | 0.0539301i | ||||
\(676\) | −2.21432 | − | 1.27964i | −0.0851662 | − | 0.0492169i | ||||
\(677\) | −3.45880 | + | 11.2132i | −0.132932 | + | 0.430956i | −0.997427 | − | 0.0716853i | \(-0.977162\pi\) |
0.864495 | + | 0.502642i | \(0.167638\pi\) | |||||||
\(678\) | 2.65773 | − | 0.0989047i | 0.102070 | − | 0.00379841i | ||||
\(679\) | 2.24731 | − | 11.3746i | 0.0862438 | − | 0.436516i | ||||
\(680\) | −2.67560 | − | 0.938062i | −0.102604 | − | 0.0359730i | ||||
\(681\) | 5.41950 | + | 13.8087i | 0.207676 | + | 0.529149i | ||||
\(682\) | 40.5177 | + | 40.5342i | 1.55150 | + | 1.55214i | ||||
\(683\) | 0.0317670 | − | 0.210760i | 0.00121553 | − | 0.00806451i | −0.988215 | − | 0.153073i | \(-0.951083\pi\) |
0.989430 | + | 0.145009i | \(0.0463210\pi\) | |||||||
\(684\) | −1.52937 | + | 1.21862i | −0.0584770 | + | 0.0465950i | ||||
\(685\) | 1.79528i | 0.0685942i | ||||||||
\(686\) | −15.2776 | + | 21.2743i | −0.583300 | + | 0.812257i | ||||
\(687\) | 14.8193i | 0.565393i | ||||||||
\(688\) | −12.7342 | + | 7.33831i | −0.485487 | + | 0.279770i | ||||
\(689\) | −4.28951 | + | 28.4590i | −0.163417 | + | 1.08420i | ||||
\(690\) | −2.10933 | + | 2.10847i | −0.0803007 | + | 0.0802681i | ||||
\(691\) | −6.24458 | − | 15.9109i | −0.237555 | − | 0.605281i | 0.761526 | − | 0.648134i | \(-0.224450\pi\) |
−0.999081 | + | 0.0428534i | \(0.986355\pi\) | |||||||
\(692\) | −1.44818 | − | 2.51068i | −0.0550516 | − | 0.0954416i | ||||
\(693\) | 2.31727 | − | 11.7287i | 0.0880259 | − | 0.445536i | ||||
\(694\) | −0.953102 | − | 25.6114i | −0.0361793 | − | 0.972195i | ||||
\(695\) | −1.72789 | + | 5.60169i | −0.0655427 | + | 0.212484i | ||||
\(696\) | −5.06518 | − | 26.8597i | −0.191995 | − | 1.01811i | ||||
\(697\) | 6.87962 | − | 2.12208i | 0.260584 | − | 0.0803796i | ||||
\(698\) | −14.7385 | − | 19.9784i | −0.557859 | − | 0.756193i | ||||
\(699\) | −3.90681 | + | 17.1168i | −0.147769 | + | 0.647418i | ||||
\(700\) | −22.3375 | + | 11.5648i | −0.844276 | + | 0.437108i | ||||
\(701\) | 6.60166 | + | 28.9238i | 0.249341 | + | 1.09244i | 0.932217 | + | 0.361901i | \(0.117872\pi\) |
−0.682875 | + | 0.730535i | \(0.739271\pi\) | |||||||
\(702\) | −3.48659 | + | 4.04983i | −0.131593 | + | 0.152851i | ||||
\(703\) | 4.24498 | + | 2.89418i | 0.160103 | + | 0.109156i | ||||
\(704\) | −2.65754 | − | 36.0519i | −0.100160 | − | 1.35876i | ||||
\(705\) | 2.58917 | + | 1.49486i | 0.0975139 | + | 0.0562997i | ||||
\(706\) | −11.5689 | + | 26.5015i | −0.435401 | + | 0.997396i | ||||
\(707\) | 8.56746 | − | 23.8655i | 0.322212 | − | 0.897554i | ||||
\(708\) | 13.0874 | − | 19.1789i | 0.491854 | − | 0.720789i | ||||
\(709\) | −12.1750 | + | 8.30077i | −0.457241 | + | 0.311742i | −0.769947 | − | 0.638108i | \(-0.779717\pi\) |
0.312705 | + | 0.949850i | \(0.398765\pi\) | |||||||
\(710\) | −7.26689 | − | 0.820277i | −0.272722 | − | 0.0307844i | ||||
\(711\) | 3.95468 | + | 4.26213i | 0.148312 | + | 0.159843i | ||||
\(712\) | −5.59619 | − | 2.44565i | −0.209726 | − | 0.0916547i | ||||
\(713\) | 16.5318 | − | 34.3287i | 0.619123 | − | 1.28562i | ||||
\(714\) | −4.20467 | − | 6.27796i | −0.157356 | − | 0.234947i | ||||
\(715\) | −3.67756 | − | 7.63653i | −0.137533 | − | 0.285590i | ||||
\(716\) | −3.40087 | + | 4.26101i | −0.127097 | + | 0.159241i | ||||
\(717\) | 5.57666 | − | 3.21968i | 0.208264 | − | 0.120241i | ||||
\(718\) | 41.6575 | − | 4.68511i | 1.55465 | − | 0.174847i | ||||
\(719\) | −6.88928 | + | 1.03839i | −0.256927 | + | 0.0387255i | −0.276243 | − | 0.961088i | \(-0.589089\pi\) |
0.0193158 | + | 0.999813i | \(0.493851\pi\) | |||||||
\(720\) | −1.97990 | − | 0.149991i | −0.0737865 | − | 0.00558982i | ||||
\(721\) | −7.59607 | − | 41.9967i | −0.282892 | − | 1.56404i | ||||
\(722\) | 22.5633 | − | 11.9192i | 0.839720 | − | 0.443587i | ||||
\(723\) | 12.7739 | + | 0.957272i | 0.475067 | + | 0.0356013i | ||||
\(724\) | 43.5593 | − | 6.54741i | 1.61887 | − | 0.243333i | ||||
\(725\) | −16.7828 | + | 42.7619i | −0.623298 | + | 1.58814i | ||||
\(726\) | −5.32417 | − | 12.2099i | −0.197598 | − | 0.453152i | ||||
\(727\) | 10.1365 | − | 12.7107i | 0.375941 | − | 0.471415i | −0.557484 | − | 0.830188i | \(-0.688233\pi\) |
0.933425 | + | 0.358773i | \(0.116805\pi\) | |||||||
\(728\) | 14.3505 | − | 24.3654i | 0.531864 | − | 0.903042i | ||||
\(729\) | 0.623490 | + | 0.781831i | 0.0230922 | + | 0.0289567i | ||||
\(730\) | 1.30843 | − | 2.47445i | 0.0484271 | − | 0.0915835i | ||||
\(731\) | 0.554494 | + | 7.39921i | 0.0205087 | + | 0.273670i | ||||
\(732\) | 18.1224 | + | 5.59809i | 0.669824 | + | 0.206911i | ||||
\(733\) | 9.53388 | − | 10.2751i | 0.352142 | − | 0.379519i | −0.531994 | − | 0.846748i | \(-0.678557\pi\) |
0.884136 | + | 0.467229i | \(0.154748\pi\) | |||||||
\(734\) | −11.5644 | − | 13.4436i | −0.426849 | − | 0.496211i | ||||
\(735\) | 3.42715 | + | 0.573212i | 0.126412 | + | 0.0211432i | ||||
\(736\) | −22.0373 | + | 9.58816i | −0.812307 | + | 0.353424i | ||||
\(737\) | −42.9028 | − | 39.8079i | −1.58034 | − | 1.46634i | ||||
\(738\) | 4.26962 | − | 2.68157i | 0.157167 | − | 0.0987100i | ||||
\(739\) | 7.70309 | − | 0.577267i | 0.283363 | − | 0.0212351i | 0.0677093 | − | 0.997705i | \(-0.478431\pi\) |
0.215653 | + | 0.976470i | \(0.430812\pi\) | |||||||
\(740\) | 1.15876 | + | 5.08639i | 0.0425969 | + | 0.186979i | ||||
\(741\) | −2.88860 | + | 2.30358i | −0.106115 | + | 0.0846242i | ||||
\(742\) | −28.1438 | − | 4.48017i | −1.03319 | − | 0.164472i | ||||
\(743\) | −18.7739 | − | 14.9717i | −0.688749 | − | 0.549259i | 0.215374 | − | 0.976532i | \(-0.430903\pi\) |
−0.904123 | + | 0.427273i | \(0.859474\pi\) | |||||||
\(744\) | 24.5063 | − | 6.55044i | 0.898445 | − | 0.240151i | ||||
\(745\) | 7.43163 | + | 2.91670i | 0.272274 | + | 0.106860i | ||||
\(746\) | 3.36076 | + | 2.11266i | 0.123046 | + | 0.0773498i | ||||
\(747\) | 0.803548 | − | 10.7226i | 0.0294003 | − | 0.392320i | ||||
\(748\) | −16.9860 | − | 6.67447i | −0.621069 | − | 0.244043i | ||||
\(749\) | −1.11096 | + | 2.06164i | −0.0405936 | + | 0.0753306i | ||||
\(750\) | 5.50832 | + | 4.06706i | 0.201135 | + | 0.148508i | ||||
\(751\) | 1.09108 | + | 7.23884i | 0.0398141 | + | 0.264149i | 0.999878 | − | 0.0156323i | \(-0.00497611\pi\) |
−0.960064 | + | 0.279781i | \(0.909738\pi\) | |||||||
\(752\) | 15.0055 | + | 18.8477i | 0.547195 | + | 0.687306i | ||||
\(753\) | 6.97563 | + | 12.0821i | 0.254206 | + | 0.440298i | ||||
\(754\) | −9.59057 | − | 50.7438i | −0.349268 | − | 1.84798i | ||||
\(755\) | −8.26073 | + | 3.97816i | −0.300639 | + | 0.144780i | ||||
\(756\) | −3.98144 | − | 3.48542i | −0.144804 | − | 0.126763i | ||||
\(757\) | 19.4094 | + | 9.34707i | 0.705446 | + | 0.339725i | 0.751975 | − | 0.659192i | \(-0.229102\pi\) |
−0.0465285 | + | 0.998917i | \(0.514816\pi\) | |||||||
\(758\) | 0.780029 | − | 2.90874i | 0.0283319 | − | 0.105650i | ||||
\(759\) | −14.0728 | + | 13.0576i | −0.510809 | + | 0.473962i | ||||
\(760\) | −1.32579 | − | 0.356109i | −0.0480913 | − | 0.0129174i | ||||
\(761\) | −7.26111 | − | 10.6501i | −0.263215 | − | 0.386066i | 0.671766 | − | 0.740763i | \(-0.265536\pi\) |
−0.934981 | + | 0.354698i | \(0.884584\pi\) | |||||||
\(762\) | −10.0109 | + | 2.68023i | −0.362656 | + | 0.0970945i | ||||
\(763\) | 54.4918 | − | 5.69529i | 1.97274 | − | 0.206183i | ||||
\(764\) | −14.1252 | + | 4.35076i | −0.511031 | + | 0.157405i | ||||
\(765\) | −0.501210 | + | 0.868121i | −0.0181213 | + | 0.0313870i | ||||
\(766\) | 2.21620 | − | 6.32941i | 0.0800746 | − | 0.228691i | ||||
\(767\) | 24.7121 | − | 36.2460i | 0.892302 | − | 1.30877i | ||||
\(768\) | −14.4042 | − | 6.96555i | −0.519767 | − | 0.251348i | ||||
\(769\) | −5.67438 | + | 1.29514i | −0.204623 | + | 0.0467040i | −0.323604 | − | 0.946193i | \(-0.604895\pi\) |
0.118981 | + | 0.992897i | \(0.462037\pi\) | |||||||
\(770\) | 7.59146 | − | 3.57887i | 0.273577 | − | 0.128974i | ||||
\(771\) | −8.87824 | − | 2.02640i | −0.319742 | − | 0.0729790i | ||||
\(772\) | −20.7070 | − | 4.73508i | −0.745260 | − | 0.170419i | ||||
\(773\) | 7.69832 | + | 24.9573i | 0.276889 | + | 0.897653i | 0.982052 | + | 0.188608i | \(0.0603976\pi\) |
−0.705163 | + | 0.709045i | \(0.749126\pi\) | |||||||
\(774\) | 1.71523 | + | 4.90503i | 0.0616525 | + | 0.176308i | ||||
\(775\) | −40.7384 | − | 12.5661i | −1.46337 | − | 0.451389i | ||||
\(776\) | −12.3162 | − | 1.39530i | −0.442126 | − | 0.0500884i | ||||
\(777\) | −5.66200 | + | 12.6972i | −0.203123 | + | 0.455509i | ||||
\(778\) | 8.27448 | − | 43.6831i | 0.296654 | − | 1.56612i | ||||
\(779\) | 3.24487 | − | 1.27352i | 0.116260 | − | 0.0456285i | ||||
\(780\) | −3.74086 | − | 0.281867i | −0.133944 | − | 0.0100925i | ||||
\(781\) | −46.5473 | − | 7.01588i | −1.66559 | − | 0.251048i | ||||
\(782\) | −0.456130 | + | 12.1244i | −0.0163112 | + | 0.433569i | ||||
\(783\) | −9.66372 | −0.345353 | ||||||||
\(784\) | 24.0082 | + | 14.4086i | 0.857434 | + | 0.514594i | ||||
\(785\) | 3.04299 | 0.108609 | ||||||||
\(786\) | −0.735409 | + | 19.5480i | −0.0262312 | + | 0.697253i | ||||
\(787\) | 42.6424 | + | 6.42730i | 1.52004 | + | 0.229109i | 0.855364 | − | 0.518027i | \(-0.173333\pi\) |
0.664672 | + | 0.747135i | \(0.268571\pi\) | |||||||
\(788\) | 23.4506 | + | 1.76696i | 0.835392 | + | 0.0629452i | ||||
\(789\) | 10.2521 | − | 4.02367i | 0.364986 | − | 0.143246i | ||||
\(790\) | −0.759636 | + | 4.01032i | −0.0270267 | + | 0.142681i | ||||
\(791\) | 0.145956 | + | 4.97346i | 0.00518961 | + | 0.176836i | ||||
\(792\) | −12.6996 | − | 1.43874i | −0.451262 | − | 0.0511234i | ||||
\(793\) | 34.2441 | + | 10.5629i | 1.21604 | + | 0.375100i | ||||
\(794\) | 4.52432 | + | 12.9382i | 0.160562 | + | 0.459159i | ||||
\(795\) | 1.11440 | + | 3.61279i | 0.0395236 | + | 0.128132i | ||||
\(796\) | 25.5881 | + | 5.85124i | 0.906944 | + | 0.207392i | ||||
\(797\) | 48.9345 | + | 11.1690i | 1.73335 | + | 0.395626i | 0.968585 | − | 0.248684i | \(-0.0799981\pi\) |
0.764765 | + | 0.644310i | \(0.222855\pi\) | |||||||
\(798\) | −2.25727 | − | 2.87902i | −0.0799065 | − | 0.101916i | ||||
\(799\) | 11.8577 | − | 2.70645i | 0.419496 | − | 0.0957472i | ||||
\(800\) | 14.2834 | + | 22.7833i | 0.504995 | + | 0.805510i | ||||
\(801\) | −1.21634 | + | 1.78405i | −0.0429774 | + | 0.0630363i | ||||
\(802\) | −14.8321 | + | 42.3600i | −0.523739 | + | 1.49579i | ||||
\(803\) | 9.00867 | − | 15.6035i | 0.317909 | − | 0.550635i | ||||
\(804\) | −24.7562 | + | 7.62525i | −0.873083 | + | 0.268922i | ||||
\(805\) | −3.91346 | − | 3.97706i | −0.137931 | − | 0.140173i | ||||
\(806\) | 46.2962 | − | 12.3950i | 1.63071 | − | 0.436594i | ||||
\(807\) | −11.0755 | − | 16.2448i | −0.389878 | − | 0.571845i | ||||
\(808\) | −26.1795 | − | 7.03188i | −0.920993 | − | 0.247381i | ||||
\(809\) | 0.988415 | − | 0.917115i | 0.0347508 | − | 0.0322440i | −0.662606 | − | 0.748968i | \(-0.730550\pi\) |
0.697357 | + | 0.716724i | \(0.254359\pi\) | |||||||
\(810\) | −0.181830 | + | 0.678049i | −0.00638887 | + | 0.0238242i | ||||
\(811\) | −13.4148 | − | 6.46021i | −0.471056 | − | 0.226849i | 0.183268 | − | 0.983063i | \(-0.441332\pi\) |
−0.654324 | + | 0.756214i | \(0.727047\pi\) | |||||||
\(812\) | 50.3228 | − | 9.08092i | 1.76598 | − | 0.318678i | ||||
\(813\) | −0.640955 | + | 0.308668i | −0.0224793 | + | 0.0108255i | ||||
\(814\) | 6.23608 | + | 32.9951i | 0.218574 | + | 1.15648i | ||||
\(815\) | −1.91680 | − | 3.32000i | −0.0671427 | − | 0.116294i | ||||
\(816\) | −6.31943 | + | 5.03119i | −0.221224 | + | 0.176127i | ||||
\(817\) | 0.535447 | + | 3.55246i | 0.0187329 | + | 0.124285i | ||||
\(818\) | 36.9950 | + | 27.3152i | 1.29350 | + | 0.955053i | ||||
\(819\) | −7.52505 | − | 6.58216i | −0.262947 | − | 0.229999i | ||||
\(820\) | 3.29423 | + | 1.29444i | 0.115040 | + | 0.0452037i | ||||
\(821\) | 2.05527 | − | 27.4256i | 0.0717293 | − | 0.957161i | −0.838993 | − | 0.544142i | \(-0.816855\pi\) |
0.910722 | − | 0.413019i | \(-0.135526\pi\) | |||||||
\(822\) | 4.33020 | + | 2.72207i | 0.151033 | + | 0.0949432i | ||||
\(823\) | 42.8282 | + | 16.8088i | 1.49290 | + | 0.585919i | 0.964734 | − | 0.263225i | \(-0.0847862\pi\) |
0.528162 | + | 0.849144i | \(0.322881\pi\) | |||||||
\(824\) | −44.0774 | + | 11.7817i | −1.53551 | + | 0.410436i | ||||
\(825\) | 16.7939 | + | 13.3927i | 0.584687 | + | 0.466272i | ||||
\(826\) | 35.6870 | + | 24.7655i | 1.24171 | + | 0.861701i | ||||
\(827\) | 11.5109 | − | 9.17964i | 0.400274 | − | 0.319207i | −0.402579 | − | 0.915385i | \(-0.631886\pi\) |
0.802852 | + | 0.596178i | \(0.203315\pi\) | |||||||
\(828\) | 1.88737 | + | 8.28462i | 0.0655906 | + | 0.287910i | ||||
\(829\) | −55.2128 | + | 4.13763i | −1.91762 | + | 0.143706i | −0.979346 | − | 0.202189i | \(-0.935194\pi\) |
−0.938273 | + | 0.345895i | \(0.887575\pi\) | |||||||
\(830\) | 6.39226 | − | 4.01471i | 0.221879 | − | 0.139353i | ||||
\(831\) | 4.35519 | + | 4.04103i | 0.151080 | + | 0.140182i | ||||
\(832\) | −27.2201 | − | 13.1494i | −0.943687 | − | 0.455873i | ||||
\(833\) | 11.8064 | − | 7.77368i | 0.409069 | − | 0.269342i | ||||
\(834\) | 10.8913 | + | 12.6612i | 0.377136 | + | 0.438420i | ||||
\(835\) | −6.47910 | + | 6.98281i | −0.224219 | + | 0.241650i | ||||
\(836\) | −8.44275 | − | 2.60800i | −0.291999 | − | 0.0901996i | ||||
\(837\) | −0.670214 | − | 8.94339i | −0.0231660 | − | 0.309129i | ||||
\(838\) | 15.8264 | − | 29.9303i | 0.546713 | − | 1.03392i | ||||
\(839\) | 30.8038 | + | 38.6267i | 1.06346 | + | 1.33354i | 0.939993 | + | 0.341193i | \(0.110831\pi\) |
0.123470 | + | 0.992348i | \(0.460598\pi\) | |||||||
\(840\) | 0.309705 | − | 3.70173i | 0.0106858 | − | 0.127722i | ||||
\(841\) | 40.1449 | − | 50.3402i | 1.38431 | − | 1.73587i | ||||
\(842\) | −6.14871 | − | 14.1008i | −0.211899 | − | 0.485946i | ||||
\(843\) | 2.84402 | − | 7.24644i | 0.0979532 | − | 0.249581i | ||||
\(844\) | −19.4124 | + | 2.91788i | −0.668201 | + | 0.100438i | ||||
\(845\) | −0.632983 | − | 0.0474355i | −0.0217753 | − | 0.00163183i | ||||
\(846\) | 7.53139 | − | 3.97850i | 0.258935 | − | 0.136784i | ||||
\(847\) | 22.9202 | − | 9.78080i | 0.787547 | − | 0.336072i | ||||
\(848\) | −2.30140 | + | 30.3788i | −0.0790302 | + | 1.04321i | ||||
\(849\) | −19.4655 | + | 2.93395i | −0.668054 | + | 0.100693i | ||||
\(850\) | 13.4906 | − | 1.51725i | 0.462724 | − | 0.0520413i | ||||
\(851\) | 19.3331 | − | 11.1620i | 0.662730 | − | 0.382627i | ||||
\(852\) | −12.9968 | + | 16.2839i | −0.445264 | + | 0.557879i | ||||
\(853\) | −15.6652 | − | 32.5292i | −0.536368 | − | 1.11378i | −0.976434 | − | 0.215814i | \(-0.930759\pi\) |
0.440067 | − | 0.897965i | \(-0.354955\pi\) | |||||||
\(854\) | −10.7392 | + | 33.8206i | −0.367487 | + | 1.15732i | ||||
\(855\) | −0.210586 | + | 0.437286i | −0.00720188 | + | 0.0149549i | ||||
\(856\) | 2.29411 | + | 1.00257i | 0.0784111 | + | 0.0342673i | ||||
\(857\) | 37.8450 | + | 40.7872i | 1.29276 | + | 1.39326i | 0.874567 | + | 0.484904i | \(0.161146\pi\) |
0.418192 | + | 0.908359i | \(0.362664\pi\) | |||||||
\(858\) | −23.9953 | − | 2.70855i | −0.819186 | − | 0.0924685i | ||||
\(859\) | −21.8343 | + | 14.8864i | −0.744977 | + | 0.507917i | −0.875315 | − | 0.483553i | \(-0.839346\pi\) |
0.130338 | + | 0.991470i | \(0.458394\pi\) | |||||||
\(860\) | −2.05612 | + | 3.01314i | −0.0701129 | + | 0.102747i | ||||
\(861\) | 4.95384 | + | 8.02691i | 0.168826 | + | 0.273556i | ||||
\(862\) | −15.1583 | + | 34.7240i | −0.516294 | + | 1.18270i | ||||
\(863\) | 24.8470 | + | 14.3454i | 0.845801 | + | 0.488323i | 0.859232 | − | 0.511587i | \(-0.170942\pi\) |
−0.0134311 | + | 0.999910i | \(0.504275\pi\) | |||||||
\(864\) | −3.36377 | + | 4.54808i | −0.114438 | + | 0.154729i | ||||
\(865\) | −0.594374 | − | 0.405237i | −0.0202093 | − | 0.0137785i | ||||
\(866\) | 14.2099 | − | 16.5055i | 0.482874 | − | 0.560879i | ||||
\(867\) | −2.87541 | − | 12.5980i | −0.0976542 | − | 0.427851i | ||||
\(868\) | 11.8941 | + | 45.9420i | 0.403712 | + | 1.55937i | ||||
\(869\) | −5.84627 | + | 25.6142i | −0.198321 | + | 0.868901i | ||||
\(870\) | −4.02736 | − | 5.45920i | −0.136540 | − | 0.185084i | ||||
\(871\) | −46.7675 | + | 14.4259i | −1.58466 | + | 0.488801i | ||||
\(872\) | −10.8540 | − | 57.5570i | −0.367565 | − | 1.94913i | ||||
\(873\) | −1.29170 | + | 4.18760i | −0.0437175 | + | 0.141729i | ||||
\(874\) | 0.218464 | + | 5.87048i | 0.00738965 | + | 0.198572i | ||||
\(875\) | −7.68951 | + | 10.2450i | −0.259953 | + | 0.346345i | ||||
\(876\) | −3.98446 | − | 6.90777i | −0.134623 | − | 0.233392i | ||||
\(877\) | 16.7992 | + | 42.8036i | 0.567268 | + | 1.44537i | 0.870361 | + | 0.492414i | \(0.163885\pi\) |
−0.303094 | + | 0.952961i | \(0.598019\pi\) | |||||||
\(878\) | 12.1916 | − | 12.1867i | 0.411447 | − | 0.411280i | ||||
\(879\) | −2.50253 | + | 16.6032i | −0.0844081 | + | 0.560011i | ||||
\(880\) | −4.47981 | − | 7.77384i | −0.151014 | − | 0.262056i | ||||
\(881\) | − | 19.1540i | − | 0.645313i | −0.946516 | − | 0.322657i | \(-0.895424\pi\) | ||
0.946516 | − | 0.322657i | \(-0.104576\pi\) | |||||||
\(882\) | 6.57895 | − | 7.39712i | 0.221525 | − | 0.249074i | ||||
\(883\) | − | 1.93634i | − | 0.0651631i | −0.999469 | − | 0.0325816i | \(-0.989627\pi\) | ||
0.999469 | − | 0.0325816i | \(-0.0103729\pi\) | |||||||
\(884\) | −11.9358 | + | 9.51058i | −0.401445 | + | 0.319875i | ||||
\(885\) | 0.858904 | − | 5.69846i | 0.0288718 | − | 0.191552i | ||||
\(886\) | 36.0697 | + | 36.0844i | 1.21179 | + | 1.21228i | ||||
\(887\) | −1.27835 | − | 3.25717i | −0.0429226 | − | 0.109365i | 0.907805 | − | 0.419393i | \(-0.137757\pi\) |
−0.950728 | + | 0.310028i | \(0.899662\pi\) | |||||||
\(888\) | 14.0253 | + | 4.91725i | 0.470658 | + | 0.165012i | ||||
\(889\) | −4.86693 | − | 18.7675i | −0.163231 | − | 0.629441i | ||||
\(890\) | −1.51475 | + | 0.0563700i | −0.0507746 | + | 0.00188953i | ||||
\(891\) | −1.33192 | + | 4.31796i | −0.0446209 | + | 0.144657i | ||||
\(892\) | 39.5666 | + | 22.8652i | 1.32479 | + | 0.765584i | ||||
\(893\) | 5.62727 | − | 1.73578i | 0.188310 | − | 0.0580858i | ||||
\(894\) | 18.3032 | − | 13.5026i | 0.612149 | − | 0.451595i | ||||
\(895\) | −0.301097 | + | 1.31919i | −0.0100646 | + | 0.0440958i | ||||
\(896\) | 13.2427 | − | 26.8446i | 0.442408 | − | 0.896814i | ||||
\(897\) | 3.57228 | + | 15.6512i | 0.119275 | + | 0.522578i | ||||
\(898\) | −33.6426 | − | 28.9637i | −1.12267 | − | 0.966530i | ||||
\(899\) | 71.6091 | + | 48.8223i | 2.38830 | + | 1.62831i | ||||
\(900\) | 8.85140 | − | 3.46977i | 0.295047 | − | 0.115659i | ||||
\(901\) | 13.3201 | + | 7.69037i | 0.443757 | + | 0.256203i | ||||
\(902\) | 20.8800 | + | 9.11491i | 0.695228 | + | 0.303493i | ||||
\(903\) | −9.20141 | + | 3.13669i | −0.306204 | + | 0.104382i | ||||
\(904\) | 5.28606 | − | 0.592334i | 0.175812 | − | 0.0197007i | ||||
\(905\) | 9.03304 | − | 6.15862i | 0.300268 | − | 0.204720i | ||||
\(906\) | −2.92995 | + | 25.9566i | −0.0973410 | + | 0.862351i | ||||
\(907\) | −19.5139 | − | 21.0309i | −0.647947 | − | 0.698321i | 0.320582 | − | 0.947221i | \(-0.396122\pi\) |
−0.968529 | + | 0.248900i | \(0.919931\pi\) | |||||||
\(908\) | 12.8617 | + | 26.7353i | 0.426830 | + | 0.887243i | ||||
\(909\) | −4.15831 | + | 8.63483i | −0.137923 | + | 0.286399i | ||||
\(910\) | 0.582303 | − | 6.99415i | 0.0193032 | − | 0.231854i | ||||
\(911\) | −8.79889 | − | 18.2711i | −0.291520 | − | 0.605348i | 0.702846 | − | 0.711342i | \(-0.251912\pi\) |
−0.994367 | + | 0.105993i | \(0.966198\pi\) | |||||||
\(912\) | −2.86914 | + | 2.65784i | −0.0950066 | + | 0.0880097i | ||||
\(913\) | 42.0787 | − | 24.2941i | 1.39260 | − | 0.804019i | ||||
\(914\) | 0.761356 | + | 6.76958i | 0.0251834 | + | 0.223918i | ||||
\(915\) | 4.65506 | − | 0.701637i | 0.153891 | − | 0.0231954i | ||||
\(916\) | 2.20290 | + | 29.5567i | 0.0727858 | + | 0.976581i | ||||
\(917\) | −36.5590 | − | 1.66316i | −1.20728 | − | 0.0549224i | ||||
\(918\) | 1.33395 | + | 2.52519i | 0.0440268 | + | 0.0833438i | ||||
\(919\) | −41.2059 | − | 3.08796i | −1.35926 | − | 0.101862i | −0.624942 | − | 0.780671i | \(-0.714878\pi\) |
−0.734315 | + | 0.678809i | \(0.762497\pi\) | |||||||
\(920\) | −3.89356 | + | 4.51883i | −0.128367 | + | 0.148981i | ||||
\(921\) | −6.65630 | + | 16.9600i | −0.219333 | + | 0.558850i | ||||
\(922\) | 41.3721 | − | 18.0405i | 1.36252 | − | 0.594131i | ||||
\(923\) | −24.5432 | + | 30.7762i | −0.807850 | + | 1.01301i | ||||
\(924\) | 2.87825 | − | 23.7369i | 0.0946876 | − | 0.780888i | ||||
\(925\) | −15.5737 | − | 19.5288i | −0.512061 | − | 0.642104i | ||||
\(926\) | 22.9980 | + | 12.1608i | 0.755762 | + | 0.399628i | ||||
\(927\) | 1.20546 | + | 16.0857i | 0.0395924 | + | 0.528324i | ||||
\(928\) | −14.0950 | − | 52.8179i | −0.462692 | − | 1.73383i | ||||
\(929\) | 11.9598 | − | 12.8896i | 0.392387 | − | 0.422893i | −0.505701 | − | 0.862709i | \(-0.668766\pi\) |
0.898088 | + | 0.439816i | \(0.144956\pi\) | |||||||
\(930\) | 4.77296 | − | 4.10578i | 0.156512 | − | 0.134634i | ||||
\(931\) | 5.41917 | − | 4.18051i | 0.177606 | − | 0.137011i | ||||
\(932\) | −5.24758 | + | 34.7197i | −0.171890 | + | 1.13728i | ||||
\(933\) | −8.65719 | − | 8.03270i | −0.283424 | − | 0.262979i | ||||
\(934\) | −14.9536 | − | 23.8092i | −0.489296 | − | 0.779061i | ||||
\(935\) | −4.51699 | + | 0.338502i | −0.147721 | + | 0.0110702i | ||||
\(936\) | −6.35189 | + | 8.59554i | −0.207618 | + | 0.280954i | ||||
\(937\) | −34.4446 | + | 27.4687i | −1.12526 | + | 0.897362i | −0.995554 | − | 0.0941906i | \(-0.969974\pi\) |
−0.129703 | + | 0.991553i | \(0.541402\pi\) | |||||||
\(938\) | −13.9012 | − | 46.4252i | −0.453889 | − | 1.51584i | ||||
\(939\) | −20.1306 | − | 16.0537i | −0.656939 | − | 0.523891i | ||||
\(940\) | 5.38624 | + | 2.59657i | 0.175680 | + | 0.0846908i | ||||
\(941\) | 11.2379 | + | 4.41054i | 0.366344 | + | 0.143780i | 0.541370 | − | 0.840784i | \(-0.317906\pi\) |
−0.175026 | + | 0.984564i | \(0.556001\pi\) | |||||||
\(942\) | 4.61390 | − | 7.33967i | 0.150329 | − | 0.239139i | ||||
\(943\) | 1.13189 | − | 15.1040i | 0.0368592 | − | 0.491852i | ||||
\(944\) | 23.2514 | − | 40.1972i | 0.756770 | − | 1.30831i | ||||
\(945\) | −1.26580 | − | 0.350131i | −0.0411765 | − | 0.0113898i | ||||
\(946\) | −13.9471 | + | 18.8896i | −0.453458 | + | 0.614152i | ||||
\(947\) | −4.96054 | − | 32.9110i | −0.161196 | − | 1.06947i | −0.912372 | − | 0.409363i | \(-0.865751\pi\) |
0.751176 | − | 0.660102i | \(-0.229487\pi\) | |||||||
\(948\) | 8.52105 | + | 7.91283i | 0.276751 | + | 0.256997i | ||||
\(949\) | −7.53339 | − | 13.0482i | −0.244544 | − | 0.423563i | ||||
\(950\) | 6.45870 | − | 1.22069i | 0.209548 | − | 0.0396045i | ||||
\(951\) | −12.1393 | + | 5.84598i | −0.393644 | + | 0.189569i | ||||
\(952\) | −9.31929 | − | 11.8962i | −0.302040 | − | 0.385557i | ||||
\(953\) | 15.9931 | + | 7.70186i | 0.518067 | + | 0.249488i | 0.674598 | − | 0.738185i | \(-0.264317\pi\) |
−0.156531 | + | 0.987673i | \(0.550031\pi\) | |||||||
\(954\) | 10.4037 | + | 2.78993i | 0.336833 | + | 0.0903273i | ||||
\(955\) | −2.68910 | + | 2.49512i | −0.0870172 | + | 0.0807401i | ||||
\(956\) | 10.6439 | − | 7.25053i | 0.344247 | − | 0.234499i | ||||
\(957\) | −24.5989 | − | 36.0799i | −0.795168 | − | 1.16630i | ||||
\(958\) | 4.56766 | + | 17.0606i | 0.147574 | + | 0.551202i | ||||
\(959\) | −5.15603 | + | 8.06080i | −0.166497 | + | 0.260297i | ||||
\(960\) | −3.97114 | − | 0.00483929i | −0.128168 | − | 0.000156187i | ||||
\(961\) | −24.7167 | + | 42.8106i | −0.797313 | + | 1.38099i | ||||
\(962\) | 26.5026 | + | 9.27970i | 0.854478 | + | 0.299190i | ||||
\(963\) | 0.498630 | − | 0.731356i | 0.0160681 | − | 0.0235676i | ||||
\(964\) | 25.6194 | + | 0.0104067i | 0.825147 | + | 0.000335178i | ||||
\(965\) | −5.13987 | + | 1.17314i | −0.165458 | + | 0.0377648i | ||||
\(966\) | −15.5264 | + | 3.40904i | −0.499553 | + | 0.109684i | ||||
\(967\) | 20.2013 | + | 4.61082i | 0.649630 | + | 0.148274i | 0.534623 | − | 0.845091i | \(-0.320454\pi\) |
0.115007 | + | 0.993365i | \(0.463311\pi\) | |||||||
\(968\) | −12.4339 | − | 23.5608i | −0.399640 | − | 0.757273i | ||||
\(969\) | 0.581989 | + | 1.88676i | 0.0186962 | + | 0.0606115i | ||||
\(970\) | −2.90396 | + | 1.01548i | −0.0932407 | + | 0.0326051i | ||||
\(971\) | 32.1649 | + | 9.92156i | 1.03222 | + | 0.318398i | 0.764176 | − | 0.645008i | \(-0.223146\pi\) |
0.268046 | + | 0.963406i | \(0.413622\pi\) | |||||||
\(972\) | 1.35975 | + | 1.46666i | 0.0436140 | + | 0.0470430i | ||||
\(973\) | −23.8462 | + | 20.1891i | −0.764475 | + | 0.647231i | ||||
\(974\) | −20.4624 | − | 3.87599i | −0.655656 | − | 0.124195i | ||||
\(975\) | 16.7208 | − | 6.56244i | 0.535495 | − | 0.210166i | ||||
\(976\) | 36.9768 | + | 8.47132i | 1.18360 | + | 0.271160i | ||||
\(977\) | 32.1664 | + | 4.84831i | 1.02910 | + | 0.155111i | 0.641822 | − | 0.766854i | \(-0.278179\pi\) |
0.387274 | + | 0.921965i | \(0.373417\pi\) | |||||||
\(978\) | −10.9141 | − | 0.410598i | −0.348995 | − | 0.0131295i | ||||
\(979\) | −9.75700 | −0.311835 | ||||||||
\(980\) | 6.92054 | + | 0.633807i | 0.221069 | + | 0.0202462i | ||||
\(981\) | −20.7081 | −0.661160 | ||||||||
\(982\) | −16.0967 | − | 0.605570i | −0.513667 | − | 0.0193245i | ||||
\(983\) | 25.4066 | + | 3.82944i | 0.810346 | + | 0.122140i | 0.541129 | − | 0.840940i | \(-0.317997\pi\) |
0.269217 | + | 0.963080i | \(0.413235\pi\) | |||||||
\(984\) | 8.11701 | − | 5.98299i | 0.258761 | − | 0.190731i | ||||
\(985\) | 5.43337 | − | 2.13244i | 0.173122 | − | 0.0679453i | ||||
\(986\) | −27.1162 | − | 5.13636i | −0.863555 | − | 0.163575i | ||||
\(987\) | 7.33214 | + | 14.1480i | 0.233385 | + | 0.450336i | ||||
\(988\) | −5.41880 | + | 5.02381i | −0.172395 | + | 0.159829i | ||||
\(989\) | 14.9166 | + | 4.60118i | 0.474322 | + | 0.146309i | ||||
\(990\) | −2.99437 | + | 1.04709i | −0.0951673 | + | 0.0332788i | ||||
\(991\) | −15.7621 | − | 51.0994i | −0.500699 | − | 1.62323i | −0.754734 | − | 0.656031i | \(-0.772234\pi\) |
0.254035 | − | 0.967195i | \(-0.418242\pi\) | |||||||
\(992\) | 47.9033 | − | 16.7075i | 1.52093 | − | 0.530464i | ||||
\(993\) | −6.08134 | − | 1.38803i | −0.192985 | − | 0.0440477i | ||||
\(994\) | −30.2725 | − | 24.5535i | −0.960184 | − | 0.778790i | ||||
\(995\) | 6.35146 | − | 1.44968i | 0.201355 | − | 0.0459579i | ||||
\(996\) | 0.00873556 | − | 21.5053i | 0.000276797 | − | 0.681423i | ||||
\(997\) | 30.2378 | − | 44.3507i | 0.957640 | − | 1.40460i | 0.0435674 | − | 0.999050i | \(-0.486128\pi\) |
0.914073 | − | 0.405550i | \(-0.132920\pi\) | |||||||
\(998\) | −3.60982 | − | 1.26396i | −0.114267 | − | 0.0400098i | ||||
\(999\) | 2.62731 | − | 4.55063i | 0.0831244 | − | 0.143976i |
(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 | 588.2.ba.b.187.15 | yes | 336 | |
4.3 | odd | 2 | 588.2.ba.a.187.2 | ✓ | 336 | ||
49.38 | odd | 42 | 588.2.ba.a.283.2 | yes | 336 | ||
196.87 | even | 42 | inner | 588.2.ba.b.283.15 | yes | 336 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
588.2.ba.a.187.2 | ✓ | 336 | 4.3 | odd | 2 | ||
588.2.ba.a.283.2 | yes | 336 | 49.38 | odd | 42 | ||
588.2.ba.b.187.15 | yes | 336 | 1.1 | even | 1 | trivial | |
588.2.ba.b.283.15 | yes | 336 | 196.87 | even | 42 | inner |