Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [804,2,Mod(43,804)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(804, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([11, 0, 3]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("804.43");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 804 = 2^{2} \cdot 3 \cdot 67 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 804.u (of order \(22\), degree \(10\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(6.41997232251\) |
Analytic rank: | \(0\) |
Dimension: | \(340\) |
Relative dimension: | \(34\) over \(\Q(\zeta_{22})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{22}]$ |
Embedding invariants
Embedding label | 43.14 | ||
Character | \(\chi\) | \(=\) | 804.43 |
Dual form | 804.2.u.b.187.14 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/804\mathbb{Z}\right)^\times\).
\(n\) | \(269\) | \(337\) | \(403\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{3}{22}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.396640 | − | 1.35745i | −0.280467 | − | 0.959864i | ||||
\(3\) | −0.841254 | + | 0.540641i | −0.485698 | + | 0.312139i | ||||
\(4\) | −1.68535 | + | 1.07684i | −0.842677 | + | 0.538420i | ||||
\(5\) | −0.935143 | − | 0.134453i | −0.418209 | − | 0.0601293i | −0.0700015 | − | 0.997547i | \(-0.522300\pi\) |
−0.348207 | + | 0.937418i | \(0.613209\pi\) | |||||||
\(6\) | 1.06757 | + | 0.927522i | 0.435833 | + | 0.378659i | ||||
\(7\) | 0.374614 | − | 0.820291i | 0.141591 | − | 0.310041i | −0.825530 | − | 0.564359i | \(-0.809124\pi\) |
0.967121 | + | 0.254318i | \(0.0818508\pi\) | |||||||
\(8\) | 2.13024 | + | 1.86067i | 0.753153 | + | 0.657846i | ||||
\(9\) | 0.415415 | − | 0.909632i | 0.138472 | − | 0.303211i | ||||
\(10\) | 0.188401 | + | 1.32274i | 0.0595777 | + | 0.418288i | ||||
\(11\) | −0.0334271 | + | 0.232491i | −0.0100787 | + | 0.0700986i | −0.994240 | − | 0.107176i | \(-0.965819\pi\) |
0.984161 | + | 0.177275i | \(0.0567282\pi\) | |||||||
\(12\) | 0.835626 | − | 1.81707i | 0.241224 | − | 0.524542i | ||||
\(13\) | 0.977844 | − | 3.33023i | 0.271205 | − | 0.923640i | −0.705438 | − | 0.708772i | \(-0.749250\pi\) |
0.976643 | − | 0.214868i | \(-0.0689322\pi\) | |||||||
\(14\) | −1.26209 | − | 0.183161i | −0.337309 | − | 0.0489518i | ||||
\(15\) | 0.859384 | − | 0.392467i | 0.221892 | − | 0.101335i | ||||
\(16\) | 1.68083 | − | 3.62971i | 0.420208 | − | 0.907428i | ||||
\(17\) | −1.12451 | + | 1.29775i | −0.272733 | + | 0.314751i | −0.875549 | − | 0.483130i | \(-0.839500\pi\) |
0.602816 | + | 0.797880i | \(0.294045\pi\) | |||||||
\(18\) | −1.39955 | − | 0.203110i | −0.329878 | − | 0.0478734i | ||||
\(19\) | −4.47074 | + | 2.04172i | −1.02566 | + | 0.468403i | −0.855932 | − | 0.517088i | \(-0.827016\pi\) |
−0.169727 | + | 0.985491i | \(0.554289\pi\) | |||||||
\(20\) | 1.72083 | − | 0.780398i | 0.384790 | − | 0.174502i | ||||
\(21\) | 0.128337 | + | 0.892605i | 0.0280055 | + | 0.194782i | ||||
\(22\) | 0.328854 | − | 0.0468395i | 0.0701119 | − | 0.00998620i | ||||
\(23\) | 0.815205 | + | 1.26848i | 0.169982 | + | 0.264497i | 0.915785 | − | 0.401670i | \(-0.131570\pi\) |
−0.745802 | + | 0.666167i | \(0.767934\pi\) | |||||||
\(24\) | −2.79802 | − | 0.413601i | −0.571144 | − | 0.0844259i | ||||
\(25\) | −3.94105 | − | 1.15720i | −0.788210 | − | 0.231439i | ||||
\(26\) | −4.90848 | − | 0.00647355i | −0.962633 | − | 0.00126957i | ||||
\(27\) | 0.142315 | + | 0.989821i | 0.0273885 | + | 0.190491i | ||||
\(28\) | 0.251965 | + | 1.78588i | 0.0476168 | + | 0.337500i | ||||
\(29\) | 9.10823 | 1.69136 | 0.845678 | − | 0.533693i | \(-0.179196\pi\) | ||||
0.845678 | + | 0.533693i | \(0.179196\pi\) | |||||||
\(30\) | −0.873622 | − | 1.01090i | −0.159501 | − | 0.184565i | ||||
\(31\) | −9.03141 | + | 2.65186i | −1.62209 | + | 0.476288i | −0.961579 | − | 0.274529i | \(-0.911478\pi\) |
−0.660510 | + | 0.750817i | \(0.729660\pi\) | |||||||
\(32\) | −5.59385 | − | 0.841960i | −0.988861 | − | 0.148839i | ||||
\(33\) | −0.0975734 | − | 0.213656i | −0.0169853 | − | 0.0371927i | ||||
\(34\) | 2.20766 | + | 1.01172i | 0.378610 | + | 0.173509i | ||||
\(35\) | −0.460609 | + | 0.716722i | −0.0778571 | + | 0.121148i | ||||
\(36\) | 0.279407 | + | 1.98039i | 0.0465678 | + | 0.330064i | ||||
\(37\) | −9.52689 | −1.56621 | −0.783106 | − | 0.621889i | \(-0.786366\pi\) | ||||
−0.783106 | + | 0.621889i | \(0.786366\pi\) | |||||||
\(38\) | 4.54481 | + | 5.25899i | 0.737266 | + | 0.853121i | ||||
\(39\) | 0.977844 | + | 3.33023i | 0.156580 | + | 0.533264i | ||||
\(40\) | −1.74190 | − | 2.02641i | −0.275419 | − | 0.320403i | ||||
\(41\) | −5.48376 | − | 4.75171i | −0.856420 | − | 0.742092i | 0.111390 | − | 0.993777i | \(-0.464470\pi\) |
−0.967809 | + | 0.251685i | \(0.919015\pi\) | |||||||
\(42\) | 1.16076 | − | 0.528254i | 0.179110 | − | 0.0815114i | ||||
\(43\) | −7.89162 | + | 9.10741i | −1.20346 | + | 1.38887i | −0.303537 | + | 0.952820i | \(0.598168\pi\) |
−0.899923 | + | 0.436048i | \(0.856378\pi\) | |||||||
\(44\) | −0.194019 | − | 0.427825i | −0.0292495 | − | 0.0644970i | ||||
\(45\) | −0.510776 | + | 0.794782i | −0.0761419 | + | 0.118479i | ||||
\(46\) | 1.39856 | − | 1.60973i | 0.206207 | − | 0.237342i | ||||
\(47\) | 5.33413 | + | 8.30008i | 0.778064 | + | 1.21069i | 0.973210 | + | 0.229916i | \(0.0738453\pi\) |
−0.195147 | + | 0.980774i | \(0.562518\pi\) | |||||||
\(48\) | 0.548365 | + | 3.96223i | 0.0791496 | + | 0.571899i | ||||
\(49\) | 4.05148 | + | 4.67566i | 0.578783 | + | 0.667952i | ||||
\(50\) | −0.00766091 | + | 5.80878i | −0.00108342 | + | 0.821485i | ||||
\(51\) | 0.244379 | − | 1.69969i | 0.0342199 | − | 0.238004i | ||||
\(52\) | 1.93811 | + | 6.66560i | 0.268768 | + | 0.924352i | ||||
\(53\) | −3.50859 | + | 3.04021i | −0.481942 | + | 0.417605i | −0.861651 | − | 0.507501i | \(-0.830569\pi\) |
0.379710 | + | 0.925106i | \(0.376024\pi\) | |||||||
\(54\) | 1.28719 | − | 0.585788i | 0.175164 | − | 0.0797157i | ||||
\(55\) | 0.0625183 | − | 0.212918i | 0.00842997 | − | 0.0287098i | ||||
\(56\) | 2.32431 | − | 1.05038i | 0.310599 | − | 0.140363i | ||||
\(57\) | 2.65719 | − | 4.13467i | 0.351954 | − | 0.547651i | ||||
\(58\) | −3.61269 | − | 12.3640i | −0.474370 | − | 1.62347i | ||||
\(59\) | −0.226865 | − | 0.772632i | −0.0295353 | − | 0.100588i | 0.943406 | − | 0.331639i | \(-0.107602\pi\) |
−0.972942 | + | 0.231051i | \(0.925784\pi\) | |||||||
\(60\) | −1.02574 | + | 1.58686i | −0.132423 | + | 0.204863i | ||||
\(61\) | 0.264024 | − | 0.0379609i | 0.0338048 | − | 0.00486039i | −0.125392 | − | 0.992107i | \(-0.540019\pi\) |
0.159196 | + | 0.987247i | \(0.449110\pi\) | |||||||
\(62\) | 7.18199 | + | 11.2079i | 0.912114 | + | 1.42340i | ||||
\(63\) | −0.590543 | − | 0.681523i | −0.0744014 | − | 0.0858638i | ||||
\(64\) | 1.07582 | + | 7.92733i | 0.134478 | + | 0.990917i | ||||
\(65\) | −1.36219 | + | 2.98277i | −0.168958 | + | 0.369967i | ||||
\(66\) | −0.251326 | + | 0.217196i | −0.0309361 | + | 0.0267349i | ||||
\(67\) | −6.11895 | + | 5.43677i | −0.747548 | + | 0.664208i | ||||
\(68\) | 0.497722 | − | 3.39808i | 0.0603577 | − | 0.412078i | ||||
\(69\) | −1.37159 | − | 0.626384i | −0.165120 | − | 0.0754077i | ||||
\(70\) | 1.15561 | + | 0.340974i | 0.138122 | + | 0.0407542i | ||||
\(71\) | −0.356164 | + | 0.308618i | −0.0422689 | + | 0.0366262i | −0.675739 | − | 0.737141i | \(-0.736175\pi\) |
0.633470 | + | 0.773767i | \(0.281630\pi\) | |||||||
\(72\) | 2.57746 | − | 1.16478i | 0.303756 | − | 0.137271i | ||||
\(73\) | −2.22188 | − | 15.4535i | −0.260051 | − | 1.80870i | −0.532394 | − | 0.846496i | \(-0.678708\pi\) |
0.272343 | − | 0.962200i | \(-0.412201\pi\) | |||||||
\(74\) | 3.77875 | + | 12.9323i | 0.439270 | + | 1.50335i | ||||
\(75\) | 3.94105 | − | 1.15720i | 0.455073 | − | 0.133622i | ||||
\(76\) | 5.33618 | − | 8.25529i | 0.612101 | − | 0.946947i | ||||
\(77\) | 0.178188 | + | 0.114514i | 0.0203064 | + | 0.0130501i | ||||
\(78\) | 4.13278 | − | 2.64828i | 0.467945 | − | 0.299859i | ||||
\(79\) | −0.833239 | − | 0.244661i | −0.0937467 | − | 0.0275265i | 0.234523 | − | 0.972111i | \(-0.424647\pi\) |
−0.328270 | + | 0.944584i | \(0.606465\pi\) | |||||||
\(80\) | −2.05984 | + | 3.16831i | −0.230298 | + | 0.354227i | ||||
\(81\) | −0.654861 | − | 0.755750i | −0.0727623 | − | 0.0839722i | ||||
\(82\) | −4.27513 | + | 9.32866i | −0.472110 | + | 1.03018i | ||||
\(83\) | −13.5367 | − | 1.94629i | −1.48585 | − | 0.213633i | −0.648885 | − | 0.760887i | \(-0.724764\pi\) |
−0.836967 | + | 0.547254i | \(0.815673\pi\) | |||||||
\(84\) | −1.17749 | − | 1.36616i | −0.128474 | − | 0.149060i | ||||
\(85\) | 1.22606 | − | 1.06239i | 0.132985 | − | 0.115232i | ||||
\(86\) | 15.4930 | + | 7.10013i | 1.67065 | + | 0.765627i | ||||
\(87\) | −7.66233 | + | 4.92428i | −0.821488 | + | 0.527939i | ||||
\(88\) | −0.503796 | + | 0.433064i | −0.0537049 | + | 0.0461648i | ||||
\(89\) | 0.984831 | + | 0.632913i | 0.104392 | + | 0.0670886i | 0.591795 | − | 0.806088i | \(-0.298419\pi\) |
−0.487403 | + | 0.873177i | \(0.662056\pi\) | |||||||
\(90\) | 1.28147 | + | 0.378111i | 0.135079 | + | 0.0398564i | ||||
\(91\) | −2.36545 | − | 2.04967i | −0.247966 | − | 0.214864i | ||||
\(92\) | −2.73986 | − | 1.26000i | −0.285651 | − | 0.131364i | ||||
\(93\) | 6.16400 | − | 7.11364i | 0.639177 | − | 0.737650i | ||||
\(94\) | 9.15122 | − | 10.5330i | 0.943877 | − | 1.08639i | ||||
\(95\) | 4.45530 | − | 1.30819i | 0.457104 | − | 0.134218i | ||||
\(96\) | 5.16104 | − | 2.31596i | 0.526746 | − | 0.236372i | ||||
\(97\) | − | 3.94601i | − | 0.400656i | −0.979729 | − | 0.200328i | \(-0.935799\pi\) | ||
0.979729 | − | 0.200328i | \(-0.0642008\pi\) | |||||||
\(98\) | 4.74001 | − | 7.35425i | 0.478813 | − | 0.742891i | ||||
\(99\) | 0.197595 | + | 0.126987i | 0.0198590 | + | 0.0127626i | ||||
\(100\) | 7.88818 | − | 2.29359i | 0.788818 | − | 0.229359i | ||||
\(101\) | −13.0202 | + | 5.94611i | −1.29555 | + | 0.591660i | −0.939418 | − | 0.342774i | \(-0.888633\pi\) |
−0.356136 | + | 0.934434i | \(0.615906\pi\) | |||||||
\(102\) | −2.40418 | + | 0.342433i | −0.238049 | + | 0.0339059i | ||||
\(103\) | −3.40775 | − | 11.6057i | −0.335776 | − | 1.14355i | −0.938408 | − | 0.345528i | \(-0.887700\pi\) |
0.602633 | − | 0.798019i | \(-0.294118\pi\) | |||||||
\(104\) | 8.27950 | − | 5.27474i | 0.811872 | − | 0.517231i | ||||
\(105\) | − | 0.851969i | − | 0.0831436i | ||||||
\(106\) | 5.51859 | + | 3.55687i | 0.536012 | + | 0.345474i | ||||
\(107\) | −2.97218 | + | 0.427335i | −0.287332 | + | 0.0413121i | −0.284474 | − | 0.958684i | \(-0.591819\pi\) |
−0.00285809 | + | 0.999996i | \(0.500910\pi\) | |||||||
\(108\) | −1.30573 | − | 1.51495i | −0.125644 | − | 0.145776i | ||||
\(109\) | −3.09709 | + | 10.5477i | −0.296648 | + | 1.01029i | 0.667431 | + | 0.744672i | \(0.267394\pi\) |
−0.964079 | + | 0.265617i | \(0.914424\pi\) | |||||||
\(110\) | −0.313823 | 0.000413886i | −0.0299219 | 3.94625e-5i | ||||||
\(111\) | 8.01453 | − | 5.15063i | 0.760706 | − | 0.488876i | ||||
\(112\) | −2.34776 | − | 2.73851i | −0.221842 | − | 0.258765i | ||||
\(113\) | 19.7699 | − | 2.84248i | 1.85979 | − | 0.267398i | 0.881131 | − | 0.472872i | \(-0.156783\pi\) |
0.978663 | + | 0.205474i | \(0.0658737\pi\) | |||||||
\(114\) | −6.66657 | − | 1.96703i | −0.624381 | − | 0.184230i | ||||
\(115\) | −0.591782 | − | 1.29582i | −0.0551839 | − | 0.120836i | ||||
\(116\) | −15.3506 | + | 9.80811i | −1.42527 | + | 0.910660i | ||||
\(117\) | −2.62307 | − | 2.27291i | −0.242503 | − | 0.210130i | ||||
\(118\) | −0.958827 | + | 0.614415i | −0.0882672 | + | 0.0565615i | ||||
\(119\) | 0.643277 | + | 1.40858i | 0.0589691 | + | 0.129124i | ||||
\(120\) | 2.56094 | + | 0.762980i | 0.233781 | + | 0.0696502i | ||||
\(121\) | 10.5015 | + | 3.08352i | 0.954681 | + | 0.280320i | ||||
\(122\) | −0.156252 | − | 0.343343i | −0.0141464 | − | 0.0310848i | ||||
\(123\) | 7.18220 | + | 1.03264i | 0.647597 | + | 0.0931104i | ||||
\(124\) | 12.3655 | − | 14.1947i | 1.11045 | − | 1.27472i | ||||
\(125\) | 7.82677 | + | 3.57437i | 0.700048 | + | 0.319701i | ||||
\(126\) | −0.690901 | + | 1.07195i | −0.0615504 | + | 0.0954971i | ||||
\(127\) | 2.32787 | + | 1.06310i | 0.206565 | + | 0.0943353i | 0.516011 | − | 0.856582i | \(-0.327416\pi\) |
−0.309446 | + | 0.950917i | \(0.600144\pi\) | |||||||
\(128\) | 10.3343 | − | 4.60468i | 0.913428 | − | 0.407000i | ||||
\(129\) | 1.71501 | − | 11.9282i | 0.150998 | − | 1.05022i | ||||
\(130\) | 4.58926 | + | 0.666015i | 0.402505 | + | 0.0584134i | ||||
\(131\) | 6.38690 | + | 9.93821i | 0.558026 | + | 0.868305i | 0.999581 | − | 0.0289287i | \(-0.00920959\pi\) |
−0.441556 | + | 0.897234i | \(0.645573\pi\) | |||||||
\(132\) | 0.394519 | + | 0.255015i | 0.0343385 | + | 0.0221962i | ||||
\(133\) | 4.43217i | 0.384318i | ||||||||
\(134\) | 9.80718 | + | 6.14973i | 0.847211 | + | 0.531256i | ||||
\(135\) | − | 0.944760i | − | 0.0813120i | ||||||
\(136\) | −4.81015 | + | 0.672181i | −0.412467 | + | 0.0576391i | ||||
\(137\) | −5.00098 | − | 7.78168i | −0.427263 | − | 0.664834i | 0.559160 | − | 0.829060i | \(-0.311124\pi\) |
−0.986423 | + | 0.164226i | \(0.947487\pi\) | |||||||
\(138\) | −0.306259 | + | 2.11031i | −0.0260705 | + | 0.179642i | ||||
\(139\) | 1.18629 | − | 8.25079i | 0.100619 | − | 0.699823i | −0.875600 | − | 0.483037i | \(-0.839534\pi\) |
0.976219 | − | 0.216786i | \(-0.0695574\pi\) | |||||||
\(140\) | 0.00449447 | − | 1.70393i | 0.000379852 | − | 0.144008i | ||||
\(141\) | −8.97472 | − | 4.09862i | −0.755808 | − | 0.345166i | ||||
\(142\) | 0.560203 | + | 0.361065i | 0.0470112 | + | 0.0302999i | ||||
\(143\) | 0.741562 | + | 0.338660i | 0.0620125 | + | 0.0283202i | ||||
\(144\) | −2.60346 | − | 3.03677i | −0.216955 | − | 0.253065i | ||||
\(145\) | −8.51750 | − | 1.22463i | −0.707340 | − | 0.101700i | ||||
\(146\) | −20.0961 | + | 9.14558i | −1.66317 | + | 0.756893i | ||||
\(147\) | −5.93618 | − | 1.74302i | −0.489608 | − | 0.143762i | ||||
\(148\) | 16.0562 | − | 10.2589i | 1.31981 | − | 0.843279i | ||||
\(149\) | −2.98184 | − | 6.52932i | −0.244282 | − | 0.534903i | 0.747284 | − | 0.664505i | \(-0.231357\pi\) |
−0.991566 | + | 0.129602i | \(0.958630\pi\) | |||||||
\(150\) | −3.13402 | − | 4.89080i | −0.255891 | − | 0.399332i | ||||
\(151\) | 2.04729 | + | 1.77399i | 0.166606 | + | 0.144365i | 0.734174 | − | 0.678962i | \(-0.237570\pi\) |
−0.567567 | + | 0.823327i | \(0.692115\pi\) | |||||||
\(152\) | −13.3227 | − | 3.96922i | −1.08061 | − | 0.321947i | ||||
\(153\) | 0.713338 | + | 1.56199i | 0.0576700 | + | 0.126280i | ||||
\(154\) | 0.0847714 | − | 0.287303i | 0.00683107 | − | 0.0231515i | ||||
\(155\) | 8.80221 | − | 1.26557i | 0.707011 | − | 0.101653i | ||||
\(156\) | −5.23414 | − | 4.55964i | −0.419067 | − | 0.365063i | ||||
\(157\) | −16.6099 | + | 10.6745i | −1.32561 | + | 0.851920i | −0.995749 | − | 0.0921083i | \(-0.970639\pi\) |
−0.329864 | + | 0.944028i | \(0.607003\pi\) | |||||||
\(158\) | −0.00161971 | + | 1.22812i | −0.000128857 | + | 0.0977043i | ||||
\(159\) | 1.30795 | − | 4.45447i | 0.103727 | − | 0.353263i | ||||
\(160\) | 5.11784 | + | 1.53946i | 0.404601 | + | 0.121705i | ||||
\(161\) | 1.34591 | − | 0.193513i | 0.106073 | − | 0.0152510i | ||||
\(162\) | −0.766150 | + | 1.18870i | −0.0601944 | + | 0.0933933i | ||||
\(163\) | − | 13.4942i | − | 1.05694i | −0.848950 | − | 0.528472i | \(-0.822765\pi\) | ||
0.848950 | − | 0.528472i | \(-0.177235\pi\) | |||||||
\(164\) | 14.3589 | + | 2.10317i | 1.12124 | + | 0.164230i | ||||
\(165\) | 0.0625183 | + | 0.212918i | 0.00486705 | + | 0.0165756i | ||||
\(166\) | 2.72722 | + | 19.1475i | 0.211673 | + | 1.48613i | ||||
\(167\) | 9.57126 | − | 4.37105i | 0.740647 | − | 0.338242i | −0.00910752 | − | 0.999959i | \(-0.502899\pi\) |
0.749754 | + | 0.661717i | \(0.230172\pi\) | |||||||
\(168\) | −1.38745 | + | 2.14025i | −0.107044 | + | 0.165124i | ||||
\(169\) | 0.802033 | + | 0.515435i | 0.0616949 | + | 0.0396489i | ||||
\(170\) | −1.92845 | − | 1.24293i | −0.147905 | − | 0.0953287i | ||||
\(171\) | 4.91489i | 0.375851i | ||||||||
\(172\) | 3.49294 | − | 23.8472i | 0.266334 | − | 1.81833i | ||||
\(173\) | −14.4875 | + | 4.25392i | −1.10147 | + | 0.323420i | −0.781435 | − | 0.623987i | \(-0.785512\pi\) |
−0.320032 | + | 0.947407i | \(0.603694\pi\) | |||||||
\(174\) | 9.72367 | + | 8.44808i | 0.737149 | + | 0.640448i | ||||
\(175\) | −2.42561 | + | 2.79931i | −0.183359 | + | 0.211608i | ||||
\(176\) | 0.787689 | + | 0.512109i | 0.0593743 | + | 0.0386017i | ||||
\(177\) | 0.608567 | + | 0.527327i | 0.0457427 | + | 0.0396363i | ||||
\(178\) | 0.468525 | − | 1.58790i | 0.0351174 | − | 0.119018i | ||||
\(179\) | −10.1499 | − | 6.52293i | −0.758637 | − | 0.487546i | 0.103245 | − | 0.994656i | \(-0.467078\pi\) |
−0.861882 | + | 0.507110i | \(0.830714\pi\) | |||||||
\(180\) | 0.00498398 | − | 1.88951i | 0.000371484 | − | 0.140836i | ||||
\(181\) | −2.75056 | + | 1.76768i | −0.204448 | + | 0.131390i | −0.638858 | − | 0.769324i | \(-0.720593\pi\) |
0.434411 | + | 0.900715i | \(0.356957\pi\) | |||||||
\(182\) | −1.84410 | + | 4.02396i | −0.136694 | + | 0.298276i | ||||
\(183\) | −0.201588 | + | 0.174677i | −0.0149018 | + | 0.0129125i | ||||
\(184\) | −0.623648 | + | 4.21900i | −0.0459759 | + | 0.311029i | ||||
\(185\) | 8.90901 | + | 1.28092i | 0.655003 | + | 0.0941753i | ||||
\(186\) | −12.1013 | − | 5.54578i | −0.887311 | − | 0.406637i | ||||
\(187\) | −0.264126 | − | 0.304818i | −0.0193148 | − | 0.0222905i | ||||
\(188\) | −17.9278 | − | 8.24455i | −1.30752 | − | 0.601296i | ||||
\(189\) | 0.865255 | + | 0.254062i | 0.0629380 | + | 0.0184803i | ||||
\(190\) | −3.54296 | − | 5.52898i | −0.257034 | − | 0.401114i | ||||
\(191\) | −10.8041 | − | 6.94339i | −0.781759 | − | 0.502406i | 0.0878577 | − | 0.996133i | \(-0.471998\pi\) |
−0.869617 | + | 0.493727i | \(0.835634\pi\) | |||||||
\(192\) | −5.19088 | − | 6.08726i | −0.374619 | − | 0.439310i | ||||
\(193\) | −3.78346 | + | 1.11092i | −0.272339 | + | 0.0799660i | −0.415051 | − | 0.909798i | \(-0.636236\pi\) |
0.142711 | + | 0.989764i | \(0.454418\pi\) | |||||||
\(194\) | −5.35652 | + | 1.56514i | −0.384575 | + | 0.112371i | ||||
\(195\) | −0.466664 | − | 3.24572i | −0.0334185 | − | 0.232431i | ||||
\(196\) | −11.8631 | − | 3.51734i | −0.847366 | − | 0.251239i | ||||
\(197\) | −2.11366 | + | 1.83150i | −0.150592 | + | 0.130489i | −0.726899 | − | 0.686745i | \(-0.759039\pi\) |
0.576306 | + | 0.817234i | \(0.304494\pi\) | |||||||
\(198\) | 0.0940042 | − | 0.318594i | 0.00668058 | − | 0.0226415i | ||||
\(199\) | 2.56890 | + | 1.17318i | 0.182104 | + | 0.0831643i | 0.504381 | − | 0.863481i | \(-0.331721\pi\) |
−0.322276 | + | 0.946646i | \(0.604448\pi\) | |||||||
\(200\) | −6.24221 | − | 9.79809i | −0.441391 | − | 0.692830i | ||||
\(201\) | 2.20824 | − | 7.88186i | 0.155757 | − | 0.555943i | ||||
\(202\) | 13.2359 | + | 15.3158i | 0.931273 | + | 1.07761i | ||||
\(203\) | 3.41208 | − | 7.47140i | 0.239481 | − | 0.524390i | ||||
\(204\) | 1.41843 | + | 3.12774i | 0.0993100 | + | 0.218985i | ||||
\(205\) | 4.48922 | + | 5.18084i | 0.313541 | + | 0.361845i | ||||
\(206\) | −14.4026 | + | 9.22916i | −1.00347 | + | 0.643026i | ||||
\(207\) | 1.49250 | − | 0.214589i | 0.103736 | − | 0.0149150i | ||||
\(208\) | −10.4442 | − | 9.14685i | −0.724174 | − | 0.634220i | ||||
\(209\) | −0.325237 | − | 1.10766i | −0.0224971 | − | 0.0766182i | ||||
\(210\) | −1.15651 | + | 0.337925i | −0.0798066 | + | 0.0233190i | ||||
\(211\) | 13.0291 | − | 20.2736i | 0.896958 | − | 1.39569i | −0.0213262 | − | 0.999773i | \(-0.506789\pi\) |
0.918284 | − | 0.395921i | \(-0.129575\pi\) | |||||||
\(212\) | 2.63939 | − | 8.90201i | 0.181274 | − | 0.611393i | ||||
\(213\) | 0.132773 | − | 0.452183i | 0.00909744 | − | 0.0309830i | ||||
\(214\) | 1.75897 | + | 3.86510i | 0.120241 | + | 0.264213i | ||||
\(215\) | 8.60432 | − | 7.45568i | 0.586810 | − | 0.508473i | ||||
\(216\) | −1.53857 | + | 2.37336i | −0.104686 | + | 0.161486i | ||||
\(217\) | −1.20800 | + | 8.40181i | −0.0820043 | + | 0.570352i | ||||
\(218\) | 15.5465 | + | 0.0205035i | 1.05294 | + | 0.00138867i | ||||
\(219\) | 10.2240 | + | 11.7991i | 0.690871 | + | 0.797308i | ||||
\(220\) | 0.123913 | + | 0.426164i | 0.00835421 | + | 0.0287320i | ||||
\(221\) | 3.22222 | + | 5.01387i | 0.216750 | + | 0.337269i | ||||
\(222\) | −10.1706 | − | 8.83640i | −0.682607 | − | 0.593060i | ||||
\(223\) | 11.5780 | − | 18.0157i | 0.775321 | − | 1.20642i | −0.198721 | − | 0.980056i | \(-0.563679\pi\) |
0.974042 | − | 0.226367i | \(-0.0726850\pi\) | |||||||
\(224\) | −2.78619 | + | 4.27317i | −0.186160 | + | 0.285513i | ||||
\(225\) | −2.68979 | + | 3.10419i | −0.179320 | + | 0.206946i | ||||
\(226\) | −11.7001 | − | 25.7092i | −0.778276 | − | 1.71015i | ||||
\(227\) | 13.2584 | + | 11.4885i | 0.879990 | + | 0.762515i | 0.972428 | − | 0.233203i | \(-0.0749207\pi\) |
−0.0924384 | + | 0.995718i | \(0.529466\pi\) | |||||||
\(228\) | −0.0259280 | + | 9.82975i | −0.00171712 | + | 0.650991i | ||||
\(229\) | −1.94970 | − | 6.64006i | −0.128840 | − | 0.438787i | 0.869654 | − | 0.493662i | \(-0.164342\pi\) |
−0.998493 | + | 0.0548750i | \(0.982524\pi\) | |||||||
\(230\) | −1.52429 | + | 1.31729i | −0.100509 | + | 0.0868596i | ||||
\(231\) | −0.211812 | −0.0139362 | ||||||||
\(232\) | 19.4027 | + | 16.9474i | 1.27385 | + | 1.11265i | ||||
\(233\) | −10.4819 | + | 16.3101i | −0.686690 | + | 1.06851i | 0.306485 | + | 0.951875i | \(0.400847\pi\) |
−0.993175 | + | 0.116635i | \(0.962789\pi\) | |||||||
\(234\) | −2.04495 | + | 4.46222i | −0.133682 | + | 0.291705i | ||||
\(235\) | −3.87221 | − | 8.47895i | −0.252595 | − | 0.553106i | ||||
\(236\) | 1.21435 | + | 1.05786i | 0.0790473 | + | 0.0688608i | ||||
\(237\) | 0.833239 | − | 0.244661i | 0.0541247 | − | 0.0158924i | ||||
\(238\) | 1.65693 | − | 1.43192i | 0.107403 | − | 0.0928173i | ||||
\(239\) | −18.4241 | −1.19175 | −0.595877 | − | 0.803076i | \(-0.703196\pi\) | ||||
−0.595877 | + | 0.803076i | \(0.703196\pi\) | |||||||
\(240\) | 0.0199358 | − | 3.77899i | 0.00128685 | − | 0.243932i | ||||
\(241\) | 0.514869 | + | 3.58099i | 0.0331656 | + | 0.230672i | 0.999662 | − | 0.0260095i | \(-0.00828001\pi\) |
−0.966496 | + | 0.256681i | \(0.917371\pi\) | |||||||
\(242\) | 0.0204136 | − | 15.4783i | 0.00131223 | − | 0.994984i | ||||
\(243\) | 0.959493 | + | 0.281733i | 0.0615515 | + | 0.0180732i | ||||
\(244\) | −0.404095 | + | 0.348289i | −0.0258696 | + | 0.0222969i | ||||
\(245\) | −3.16006 | − | 4.91715i | −0.201889 | − | 0.314145i | ||||
\(246\) | −1.44698 | − | 10.1591i | −0.0922562 | − | 0.647719i | ||||
\(247\) | 2.42771 | + | 16.8851i | 0.154471 | + | 1.07437i | ||||
\(248\) | −24.1733 | − | 11.1554i | −1.53501 | − | 0.708367i | ||||
\(249\) | 12.4401 | − | 5.68120i | 0.788358 | − | 0.360031i | ||||
\(250\) | 1.74762 | − | 12.0422i | 0.110529 | − | 0.761616i | ||||
\(251\) | −3.59995 | + | 4.15456i | −0.227227 | + | 0.262234i | −0.857902 | − | 0.513813i | \(-0.828233\pi\) |
0.630675 | + | 0.776047i | \(0.282778\pi\) | |||||||
\(252\) | 1.72916 | + | 0.512686i | 0.108927 | + | 0.0322962i | ||||
\(253\) | −0.322161 | + | 0.147126i | −0.0202541 | + | 0.00924973i | ||||
\(254\) | 0.519785 | − | 3.58165i | 0.0326142 | − | 0.224733i | ||||
\(255\) | −0.457058 | + | 1.55660i | −0.0286221 | + | 0.0974779i | ||||
\(256\) | −10.3496 | − | 12.2019i | −0.646851 | − | 0.762617i | ||||
\(257\) | 0.770677 | − | 5.36018i | 0.0480735 | − | 0.334359i | −0.951564 | − | 0.307450i | \(-0.900524\pi\) |
0.999638 | − | 0.0269090i | \(-0.00856644\pi\) | |||||||
\(258\) | −16.8722 | + | 2.40314i | −1.05042 | + | 0.149613i | ||||
\(259\) | −3.56891 | + | 7.81483i | −0.221761 | + | 0.485590i | ||||
\(260\) | −0.916202 | − | 6.49388i | −0.0568204 | − | 0.402733i | ||||
\(261\) | 3.78370 | − | 8.28514i | 0.234205 | − | 0.512837i | ||||
\(262\) | 10.9573 | − | 12.6118i | 0.676947 | − | 0.779160i | ||||
\(263\) | 21.3262 | + | 3.06624i | 1.31503 | + | 0.189073i | 0.763893 | − | 0.645342i | \(-0.223285\pi\) |
0.551136 | + | 0.834415i | \(0.314194\pi\) | |||||||
\(264\) | 0.189688 | − | 0.636689i | 0.0116745 | − | 0.0391855i | ||||
\(265\) | 3.68980 | − | 2.37129i | 0.226663 | − | 0.145667i | ||||
\(266\) | 6.01646 | − | 1.75798i | 0.368893 | − | 0.107788i | ||||
\(267\) | −1.17067 | −0.0716439 | ||||||||
\(268\) | 4.45805 | − | 15.7520i | 0.272319 | − | 0.962207i | ||||
\(269\) | 19.0771 | 1.16315 | 0.581575 | − | 0.813493i | \(-0.302437\pi\) | ||||
0.581575 | + | 0.813493i | \(0.302437\pi\) | |||||||
\(270\) | −1.28247 | + | 0.374730i | −0.0780484 | + | 0.0228053i | ||||
\(271\) | −11.0680 | + | 7.11297i | −0.672333 | + | 0.432082i | −0.831766 | − | 0.555126i | \(-0.812670\pi\) |
0.159433 | + | 0.987209i | \(0.449033\pi\) | |||||||
\(272\) | 2.82035 | + | 6.26294i | 0.171009 | + | 0.379746i | ||||
\(273\) | 3.09807 | + | 0.445436i | 0.187504 | + | 0.0269590i | ||||
\(274\) | −8.57967 | + | 9.87512i | −0.518317 | + | 0.596578i | ||||
\(275\) | 0.400776 | − | 0.877576i | 0.0241677 | − | 0.0529198i | ||||
\(276\) | 2.98613 | − | 0.421304i | 0.179744 | − | 0.0253595i | ||||
\(277\) | −1.05627 | + | 2.31291i | −0.0634652 | + | 0.138969i | −0.938707 | − | 0.344717i | \(-0.887975\pi\) |
0.875242 | + | 0.483686i | \(0.160702\pi\) | |||||||
\(278\) | −11.6706 | + | 1.66227i | −0.699955 | + | 0.0996964i | ||||
\(279\) | −1.33957 | + | 9.31688i | −0.0801977 | + | 0.557787i | ||||
\(280\) | −2.31479 | + | 0.669746i | −0.138335 | + | 0.0400250i | ||||
\(281\) | −1.77239 | + | 6.03621i | −0.105732 | + | 0.360090i | −0.995315 | − | 0.0966831i | \(-0.969177\pi\) |
0.889583 | + | 0.456773i | \(0.150995\pi\) | |||||||
\(282\) | −2.00394 | + | 13.8084i | −0.119333 | + | 0.822280i | ||||
\(283\) | 0.0863892 | − | 0.0394526i | 0.00513530 | − | 0.00234521i | −0.412846 | − | 0.910801i | \(-0.635465\pi\) |
0.417981 | + | 0.908456i | \(0.362738\pi\) | |||||||
\(284\) | 0.267930 | − | 0.903662i | 0.0158987 | − | 0.0536225i | ||||
\(285\) | −3.04077 | + | 3.50924i | −0.180120 | + | 0.207870i | ||||
\(286\) | 0.165582 | − | 1.14096i | 0.00979105 | − | 0.0674664i | ||||
\(287\) | −5.95208 | + | 2.71822i | −0.351340 | + | 0.160452i | ||||
\(288\) | −3.08964 | + | 4.73858i | −0.182059 | + | 0.279223i | ||||
\(289\) | 1.99971 | + | 13.9083i | 0.117630 | + | 0.818136i | ||||
\(290\) | 1.71600 | + | 12.0478i | 0.100767 | + | 0.707474i | ||||
\(291\) | 2.13337 | + | 3.31959i | 0.125060 | + | 0.194598i | ||||
\(292\) | 20.3856 | + | 23.6520i | 1.19298 | + | 1.38413i | ||||
\(293\) | 6.54880 | + | 1.92290i | 0.382585 | + | 0.112337i | 0.467369 | − | 0.884062i | \(-0.345202\pi\) |
−0.0847843 | + | 0.996399i | \(0.527020\pi\) | |||||||
\(294\) | −0.0115392 | + | 8.74943i | −0.000672979 | + | 0.510277i | ||||
\(295\) | 0.108269 | + | 0.753024i | 0.00630364 | + | 0.0438428i | ||||
\(296\) | −20.2945 | − | 17.7264i | −1.17960 | − | 1.03033i | ||||
\(297\) | −0.234882 | −0.0136292 | ||||||||
\(298\) | −7.68053 | + | 6.63750i | −0.444921 | + | 0.384500i | ||||
\(299\) | 5.02149 | − | 1.47444i | 0.290400 | − | 0.0852692i | ||||
\(300\) | −5.39595 | + | 6.19416i | −0.311535 | + | 0.357620i | ||||
\(301\) | 4.51442 | + | 9.88520i | 0.260207 | + | 0.569773i | ||||
\(302\) | 1.59607 | − | 3.48274i | 0.0918434 | − | 0.200409i | ||||
\(303\) | 7.73855 | − | 12.0414i | 0.444568 | − | 0.691761i | ||||
\(304\) | −0.103712 | + | 19.6593i | −0.00594827 | + | 1.12754i | ||||
\(305\) | −0.252004 | −0.0144297 | ||||||||
\(306\) | 1.83739 | − | 1.58787i | 0.105037 | − | 0.0907726i | ||||
\(307\) | −7.05937 | − | 24.0420i | −0.402900 | − | 1.37215i | −0.872217 | − | 0.489120i | \(-0.837318\pi\) |
0.469317 | − | 0.883030i | \(-0.344500\pi\) | |||||||
\(308\) | −0.423623 | − | 0.00111739i | −0.0241382 | − | 6.36694e-5i | ||||
\(309\) | 9.14131 | + | 7.92099i | 0.520031 | + | 0.450610i | ||||
\(310\) | −5.20926 | − | 11.4466i | −0.295866 | − | 0.650124i | ||||
\(311\) | 4.32855 | − | 4.99542i | 0.245450 | − | 0.283264i | −0.619635 | − | 0.784890i | \(-0.712719\pi\) |
0.865084 | + | 0.501626i | \(0.167265\pi\) | |||||||
\(312\) | −4.11342 | + | 8.91363i | −0.232876 | + | 0.504635i | ||||
\(313\) | 5.06482 | − | 7.88101i | 0.286280 | − | 0.445461i | −0.668093 | − | 0.744078i | \(-0.732889\pi\) |
0.954373 | + | 0.298617i | \(0.0965254\pi\) | |||||||
\(314\) | 21.0783 | + | 18.3132i | 1.18952 | + | 1.03347i | ||||
\(315\) | 0.460609 | + | 0.716722i | 0.0259524 | + | 0.0403827i | ||||
\(316\) | 1.66776 | − | 0.484924i | 0.0938189 | − | 0.0272791i | ||||
\(317\) | −15.6349 | − | 18.0436i | −0.878143 | − | 1.01343i | −0.999782 | − | 0.0208571i | \(-0.993361\pi\) |
0.121639 | − | 0.992574i | \(-0.461185\pi\) | |||||||
\(318\) | −6.56552 | − | 0.00865894i | −0.368176 | − | 0.000485569i | ||||
\(319\) | −0.304462 | + | 2.11758i | −0.0170466 | + | 0.118562i | ||||
\(320\) | 0.0598072 | − | 7.55784i | 0.00334332 | − | 0.422496i | ||||
\(321\) | 2.26932 | − | 1.96638i | 0.126661 | − | 0.109753i | ||||
\(322\) | −0.796528 | − | 1.75026i | −0.0443888 | − | 0.0975381i | ||||
\(323\) | 2.37774 | − | 8.09784i | 0.132301 | − | 0.450576i | ||||
\(324\) | 1.91749 | + | 0.568525i | 0.106527 | + | 0.0315847i | ||||
\(325\) | −7.70747 | + | 11.9930i | −0.427533 | + | 0.665255i | ||||
\(326\) | −18.3177 | + | 5.35233i | −1.01452 | + | 0.296438i | ||||
\(327\) | −3.09709 | − | 10.5477i | −0.171270 | − | 0.583291i | ||||
\(328\) | −2.84036 | − | 20.3257i | −0.156833 | − | 1.12230i | ||||
\(329\) | 8.80672 | − | 1.26622i | 0.485530 | − | 0.0698087i | ||||
\(330\) | 0.264229 | − | 0.169317i | 0.0145453 | − | 0.00932062i | ||||
\(331\) | 14.4744 | + | 16.7043i | 0.795585 | + | 0.918154i | 0.998130 | − | 0.0611192i | \(-0.0194670\pi\) |
−0.202546 | + | 0.979273i | \(0.564922\pi\) | |||||||
\(332\) | 24.9100 | − | 11.2967i | 1.36712 | − | 0.619988i | ||||
\(333\) | −3.95761 | + | 8.66597i | −0.216876 | + | 0.474892i | ||||
\(334\) | −9.72984 | − | 11.2588i | −0.532393 | − | 0.616054i | ||||
\(335\) | 6.45308 | − | 4.26145i | 0.352570 | − | 0.232828i | ||||
\(336\) | 3.45561 | + | 1.03449i | 0.188519 | + | 0.0564361i | ||||
\(337\) | 16.1230 | + | 7.36314i | 0.878277 | + | 0.401096i | 0.802938 | − | 0.596062i | \(-0.203269\pi\) |
0.0753388 | + | 0.997158i | \(0.475996\pi\) | |||||||
\(338\) | 0.381560 | − | 1.29316i | 0.0207542 | − | 0.0703388i | ||||
\(339\) | −15.0947 | + | 13.0796i | −0.819833 | + | 0.710389i | ||||
\(340\) | −0.922325 | + | 3.11077i | −0.0500201 | + | 0.168705i | ||||
\(341\) | −0.314639 | − | 2.18836i | −0.0170387 | − | 0.118507i | ||||
\(342\) | 6.67173 | − | 1.94944i | 0.360766 | − | 0.105414i | ||||
\(343\) | 11.4099 | − | 3.35026i | 0.616078 | − | 0.180897i | ||||
\(344\) | −33.7569 | + | 4.71727i | −1.82005 | + | 0.254338i | ||||
\(345\) | 1.19841 | + | 0.770173i | 0.0645204 | + | 0.0414647i | ||||
\(346\) | 11.5208 | + | 17.9789i | 0.619364 | + | 0.966549i | ||||
\(347\) | −4.31330 | − | 1.26650i | −0.231550 | − | 0.0679893i | 0.163899 | − | 0.986477i | \(-0.447593\pi\) |
−0.395449 | + | 0.918488i | \(0.629411\pi\) | |||||||
\(348\) | 7.61108 | − | 16.5503i | 0.407996 | − | 0.887187i | ||||
\(349\) | 6.07179 | + | 7.00722i | 0.325016 | + | 0.375088i | 0.894618 | − | 0.446833i | \(-0.147448\pi\) |
−0.569602 | + | 0.821921i | \(0.692903\pi\) | |||||||
\(350\) | 4.76202 | + | 2.18234i | 0.254541 | + | 0.116651i | ||||
\(351\) | 3.43550 | + | 0.493950i | 0.183373 | + | 0.0263651i | ||||
\(352\) | 0.382734 | − | 1.27237i | 0.0203998 | − | 0.0678178i | ||||
\(353\) | 15.3648 | − | 13.3136i | 0.817784 | − | 0.708614i | −0.141843 | − | 0.989889i | \(-0.545303\pi\) |
0.959627 | + | 0.281276i | \(0.0907575\pi\) | |||||||
\(354\) | 0.474438 | − | 1.03526i | 0.0252161 | − | 0.0550234i | ||||
\(355\) | 0.374559 | − | 0.240714i | 0.0198795 | − | 0.0127758i | ||||
\(356\) | −2.34133 | − | 0.00617575i | −0.124090 | − | 0.000327314i | ||||
\(357\) | −1.30269 | − | 0.837191i | −0.0689459 | − | 0.0443088i | ||||
\(358\) | −4.82872 | + | 16.3652i | −0.255206 | + | 0.864929i | ||||
\(359\) | 20.8092 | + | 18.0313i | 1.09827 | + | 0.951653i | 0.999057 | − | 0.0434135i | \(-0.0138233\pi\) |
0.0992091 | + | 0.995067i | \(0.468369\pi\) | |||||||
\(360\) | −2.56690 | + | 0.742691i | −0.135288 | + | 0.0391432i | ||||
\(361\) | 3.37657 | − | 3.89677i | 0.177714 | − | 0.205093i | ||||
\(362\) | 3.49052 | + | 3.03262i | 0.183458 | + | 0.159391i | ||||
\(363\) | −10.5015 | + | 3.08352i | −0.551185 | + | 0.161843i | ||||
\(364\) | 6.19378 | + | 0.907212i | 0.324642 | + | 0.0475508i | ||||
\(365\) | 14.7500i | 0.772050i | ||||||||
\(366\) | 0.317073 | + | 0.204362i | 0.0165737 | + | 0.0106822i | ||||
\(367\) | −5.39355 | − | 3.46622i | −0.281541 | − | 0.180935i | 0.392248 | − | 0.919860i | \(-0.371698\pi\) |
−0.673788 | + | 0.738924i | \(0.735334\pi\) | |||||||
\(368\) | 5.97445 | − | 0.826852i | 0.311440 | − | 0.0431026i | ||||
\(369\) | −6.60034 | + | 3.01427i | −0.343600 | + | 0.156917i | ||||
\(370\) | −1.79488 | − | 12.6016i | −0.0933113 | − | 0.655127i | ||||
\(371\) | 1.17949 | + | 4.01697i | 0.0612360 | + | 0.208551i | ||||
\(372\) | −2.72827 | + | 18.6266i | −0.141454 | + | 0.965746i | ||||
\(373\) | 22.9733i | 1.18951i | 0.803906 | + | 0.594757i | \(0.202752\pi\) | ||||
−0.803906 | + | 0.594757i | \(0.797248\pi\) | |||||||
\(374\) | −0.309013 | + | 0.479441i | −0.0159787 | + | 0.0247913i | ||||
\(375\) | −8.51675 | + | 1.22452i | −0.439803 | + | 0.0632341i | ||||
\(376\) | −4.08072 | + | 27.6062i | −0.210447 | + | 1.42368i | ||||
\(377\) | 8.90643 | − | 30.3325i | 0.458705 | − | 1.56220i | ||||
\(378\) | 0.00168195 | − | 1.27531i | 8.65100e−5 | − | 0.0655950i | ||||
\(379\) | −32.5830 | + | 20.9398i | −1.67368 | + | 1.07561i | −0.781516 | + | 0.623885i | \(0.785553\pi\) |
−0.892159 | + | 0.451721i | \(0.850810\pi\) | |||||||
\(380\) | −6.10004 | + | 7.00242i | −0.312926 | + | 0.359216i | ||||
\(381\) | −2.53309 | + | 0.364203i | −0.129774 | + | 0.0186587i | ||||
\(382\) | −5.13997 | + | 17.4201i | −0.262984 | + | 0.891291i | ||||
\(383\) | −3.92209 | − | 8.58817i | −0.200409 | − | 0.438835i | 0.782567 | − | 0.622566i | \(-0.213910\pi\) |
−0.982977 | + | 0.183731i | \(0.941183\pi\) | |||||||
\(384\) | −6.20426 | + | 9.46082i | −0.316610 | + | 0.482796i | ||||
\(385\) | −0.151234 | − | 0.131045i | −0.00770762 | − | 0.00667869i | ||||
\(386\) | 3.00869 | + | 4.69522i | 0.153139 | + | 0.238981i | ||||
\(387\) | 5.00610 | + | 10.9618i | 0.254474 | + | 0.557221i | ||||
\(388\) | 4.24922 | + | 6.65042i | 0.215721 | + | 0.337624i | ||||
\(389\) | 25.7773 | + | 7.56889i | 1.30696 | + | 0.383758i | 0.859770 | − | 0.510681i | \(-0.170607\pi\) |
0.447189 | + | 0.894439i | \(0.352425\pi\) | |||||||
\(390\) | −4.22081 | + | 1.92086i | −0.213729 | + | 0.0972663i | ||||
\(391\) | −2.56288 | − | 0.368486i | −0.129610 | − | 0.0186352i | ||||
\(392\) | −0.0692349 | + | 17.4987i | −0.00349689 | + | 0.883820i | ||||
\(393\) | −10.7460 | − | 4.90753i | −0.542064 | − | 0.247552i | ||||
\(394\) | 3.32454 | + | 2.14275i | 0.167488 | + | 0.107950i | ||||
\(395\) | 0.746302 | + | 0.340825i | 0.0375505 | + | 0.0171488i | ||||
\(396\) | −0.469762 | − | 0.00123909i | −0.0236064 | − | 6.22667e-5i | ||||
\(397\) | 0.0644073 | − | 0.447963i | 0.00323251 | − | 0.0224826i | −0.988141 | − | 0.153547i | \(-0.950930\pi\) |
0.991374 | + | 0.131064i | \(0.0418395\pi\) | |||||||
\(398\) | 0.573604 | − | 3.95249i | 0.0287521 | − | 0.198120i | ||||
\(399\) | −2.39621 | − | 3.72858i | −0.119961 | − | 0.186662i | ||||
\(400\) | −10.8245 | + | 12.3598i | −0.541227 | + | 0.617991i | ||||
\(401\) | − | 11.0666i | − | 0.552638i | −0.961066 | − | 0.276319i | \(-0.910885\pi\) | ||
0.961066 | − | 0.276319i | \(-0.0891147\pi\) | |||||||
\(402\) | −11.5751 | + | 0.128676i | −0.577315 | + | 0.00641776i | ||||
\(403\) | 32.6698i | 1.62740i | ||||||||
\(404\) | 15.5406 | − | 24.0419i | 0.773172 | − | 1.19613i | ||||
\(405\) | 0.510776 | + | 0.794782i | 0.0253806 | + | 0.0394931i | ||||
\(406\) | −11.4954 | − | 1.66827i | −0.570509 | − | 0.0827949i | ||||
\(407\) | 0.318457 | − | 2.21492i | 0.0157853 | − | 0.109789i | ||||
\(408\) | 3.68315 | − | 3.16604i | 0.182343 | − | 0.156742i | ||||
\(409\) | 29.8984 | + | 13.6541i | 1.47838 | + | 0.675153i | 0.981288 | − | 0.192545i | \(-0.0616742\pi\) |
0.497091 | + | 0.867698i | \(0.334401\pi\) | |||||||
\(410\) | 5.25213 | − | 8.14883i | 0.259384 | − | 0.402442i | ||||
\(411\) | 8.41419 | + | 3.84263i | 0.415041 | + | 0.189543i | ||||
\(412\) | 18.2408 | + | 15.8902i | 0.898659 | + | 0.782852i | ||||
\(413\) | −0.718770 | − | 0.103344i | −0.0353684 | − | 0.00508520i | ||||
\(414\) | −0.883281 | − | 1.94089i | −0.0434109 | − | 0.0953893i | ||||
\(415\) | 12.3971 | + | 3.64012i | 0.608550 | + | 0.178687i | ||||
\(416\) | −8.27383 | + | 17.8055i | −0.405658 | + | 0.872986i | ||||
\(417\) | 3.46275 | + | 7.58236i | 0.169572 | + | 0.371310i | ||||
\(418\) | −1.37459 | + | 0.880835i | −0.0672333 | + | 0.0430830i | ||||
\(419\) | −3.58909 | − | 3.10997i | −0.175339 | − | 0.151932i | 0.562770 | − | 0.826613i | \(-0.309736\pi\) |
−0.738109 | + | 0.674682i | \(0.764281\pi\) | |||||||
\(420\) | 0.917434 | + | 1.43587i | 0.0447662 | + | 0.0700632i | ||||
\(421\) | 11.4099 | + | 24.9842i | 0.556084 | + | 1.21765i | 0.953882 | + | 0.300182i | \(0.0970473\pi\) |
−0.397798 | + | 0.917473i | \(0.630225\pi\) | |||||||
\(422\) | −32.6883 | − | 9.64501i | −1.59124 | − | 0.469512i | ||||
\(423\) | 9.76589 | − | 1.40412i | 0.474834 | − | 0.0682708i | ||||
\(424\) | −13.1309 | − | 0.0519535i | −0.637695 | − | 0.00252308i | ||||
\(425\) | 5.93349 | − | 3.81322i | 0.287817 | − | 0.184968i | ||||
\(426\) | −0.666479 | 0.000878986i | −0.0322910 | 4.25870e-5i | ||||||
\(427\) | 0.0677681 | − | 0.230797i | 0.00327953 | − | 0.0111691i | ||||
\(428\) | 4.54901 | − | 3.92078i | 0.219885 | − | 0.189518i | ||||
\(429\) | −0.806935 | + | 0.116020i | −0.0389592 | + | 0.00560149i | ||||
\(430\) | −13.5336 | − | 8.72273i | −0.652646 | − | 0.420647i | ||||
\(431\) | 20.5866i | 0.991623i | 0.868430 | + | 0.495812i | \(0.165129\pi\) | ||||
−0.868430 | + | 0.495812i | \(0.834871\pi\) | |||||||
\(432\) | 3.83197 | + | 1.14716i | 0.184366 | + | 0.0551928i | ||||
\(433\) | −5.78711 | − | 19.7091i | −0.278111 | − | 0.947159i | −0.973531 | − | 0.228555i | \(-0.926600\pi\) |
0.695420 | − | 0.718603i | \(-0.255218\pi\) | |||||||
\(434\) | 11.8842 | − | 1.69270i | 0.570460 | − | 0.0812520i | ||||
\(435\) | 7.82747 | − | 3.57468i | 0.375298 | − | 0.171393i | ||||
\(436\) | −6.13852 | − | 21.1117i | −0.293982 | − | 1.01107i | ||||
\(437\) | −6.23446 | − | 4.00665i | −0.298235 | − | 0.191664i | ||||
\(438\) | 11.9615 | − | 18.5585i | 0.571541 | − | 0.886761i | ||||
\(439\) | − | 18.3697i | − | 0.876739i | −0.898795 | − | 0.438370i | \(-0.855556\pi\) | ||
0.898795 | − | 0.438370i | \(-0.144444\pi\) | |||||||
\(440\) | 0.529349 | − | 0.337240i | 0.0252357 | − | 0.0160773i | ||||
\(441\) | 5.93618 | − | 1.74302i | 0.282675 | − | 0.0830009i | ||||
\(442\) | 5.52802 | − | 6.36270i | 0.262941 | − | 0.302643i | ||||
\(443\) | 10.9773 | − | 12.6685i | 0.521549 | − | 0.601900i | −0.432469 | − | 0.901649i | \(-0.642357\pi\) |
0.954018 | + | 0.299749i | \(0.0969029\pi\) | |||||||
\(444\) | −7.96092 | + | 17.3110i | −0.377808 | + | 0.821543i | ||||
\(445\) | −0.835861 | − | 0.724278i | −0.0396236 | − | 0.0343341i | ||||
\(446\) | −29.0478 | − | 8.57084i | −1.37545 | − | 0.405841i | ||||
\(447\) | 6.03850 | + | 3.88071i | 0.285611 | + | 0.183551i | ||||
\(448\) | 6.90574 | + | 2.08720i | 0.326266 | + | 0.0986112i | ||||
\(449\) | −20.8151 | + | 13.3770i | −0.982324 | + | 0.631301i | −0.930089 | − | 0.367334i | \(-0.880271\pi\) |
−0.0522345 | + | 0.998635i | \(0.516634\pi\) | |||||||
\(450\) | 5.28067 | + | 2.42002i | 0.248933 | + | 0.114081i | ||||
\(451\) | 1.28803 | − | 1.11609i | 0.0606512 | − | 0.0525546i | ||||
\(452\) | −30.2583 | + | 26.0796i | −1.42323 | + | 1.22668i | ||||
\(453\) | −2.68139 | − | 0.385525i | −0.125982 | − | 0.0181135i | ||||
\(454\) | 10.3362 | − | 22.5544i | 0.485103 | − | 1.05853i | ||||
\(455\) | 1.93645 | + | 2.23478i | 0.0907820 | + | 0.104768i | ||||
\(456\) | 13.3537 | − | 3.86368i | 0.625344 | − | 0.180933i | ||||
\(457\) | −16.7946 | − | 4.93134i | −0.785618 | − | 0.230678i | −0.135768 | − | 0.990741i | \(-0.543350\pi\) |
−0.649850 | + | 0.760063i | \(0.725168\pi\) | |||||||
\(458\) | −8.24023 | + | 5.28033i | −0.385041 | + | 0.246734i | ||||
\(459\) | −1.44458 | − | 0.928372i | −0.0674270 | − | 0.0433327i | ||||
\(460\) | 2.39275 | + | 1.54666i | 0.111563 | + | 0.0721135i | ||||
\(461\) | −1.80481 | + | 0.529939i | −0.0840582 | + | 0.0246817i | −0.323491 | − | 0.946231i | \(-0.604857\pi\) |
0.239433 | + | 0.970913i | \(0.423038\pi\) | |||||||
\(462\) | 0.0840133 | + | 0.287525i | 0.00390865 | + | 0.0133769i | ||||
\(463\) | −1.21048 | − | 8.41907i | −0.0562557 | − | 0.391267i | −0.998424 | − | 0.0561261i | \(-0.982125\pi\) |
0.942168 | − | 0.335141i | \(-0.108784\pi\) | |||||||
\(464\) | 15.3094 | − | 33.0603i | 0.710721 | − | 1.53478i | ||||
\(465\) | −6.72068 | + | 5.82350i | −0.311664 | + | 0.270058i | ||||
\(466\) | 26.2977 | + | 7.75939i | 1.21822 | + | 0.359447i | ||||
\(467\) | −20.7434 | − | 9.47321i | −0.959892 | − | 0.438368i | −0.127061 | − | 0.991895i | \(-0.540554\pi\) |
−0.832831 | + | 0.553527i | \(0.813282\pi\) | |||||||
\(468\) | 6.86836 | + | 1.00602i | 0.317490 | + | 0.0465033i | ||||
\(469\) | 2.16749 | + | 7.05601i | 0.100085 | + | 0.325816i | ||||
\(470\) | −9.97390 | + | 8.61943i | −0.460062 | + | 0.397585i | ||||
\(471\) | 8.20204 | − | 17.9600i | 0.377930 | − | 0.827552i | ||||
\(472\) | 0.954335 | − | 2.06801i | 0.0439268 | − | 0.0951879i | ||||
\(473\) | −1.85360 | − | 2.13916i | −0.0852285 | − | 0.0983589i | ||||
\(474\) | −0.662611 | − | 1.03404i | −0.0304347 | − | 0.0474950i | ||||
\(475\) | 19.9821 | − | 2.87299i | 0.916841 | − | 0.131822i | ||||
\(476\) | −2.60096 | − | 1.68125i | −0.119215 | − | 0.0770599i | ||||
\(477\) | 1.30795 | + | 4.45447i | 0.0598870 | + | 0.203956i | ||||
\(478\) | 7.30773 | + | 25.0098i | 0.334248 | + | 1.14392i | ||||
\(479\) | −11.1210 | + | 17.3046i | −0.508131 | + | 0.790668i | −0.996641 | − | 0.0818906i | \(-0.973904\pi\) |
0.488510 | + | 0.872558i | \(0.337541\pi\) | |||||||
\(480\) | −5.13770 | + | 1.47184i | −0.234503 | + | 0.0671798i | ||||
\(481\) | −9.31582 | + | 31.7268i | −0.424765 | + | 1.44662i | ||||
\(482\) | 4.65681 | − | 2.11927i | 0.212112 | − | 0.0965303i | ||||
\(483\) | −1.02763 | + | 0.890450i | −0.0467590 | + | 0.0405169i | ||||
\(484\) | −21.0192 | + | 6.11161i | −0.955417 | + | 0.277800i | ||||
\(485\) | −0.530554 | + | 3.69008i | −0.0240912 | + | 0.167558i | ||||
\(486\) | 0.00186513 | − | 1.41421i | 8.46042e−5 | − | 0.0641500i | ||||
\(487\) | −26.0888 | − | 30.1081i | −1.18220 | − | 1.36433i | −0.916382 | − | 0.400306i | \(-0.868904\pi\) |
−0.265817 | − | 0.964024i | \(-0.585642\pi\) | |||||||
\(488\) | 0.633066 | + | 0.410395i | 0.0286575 | + | 0.0185777i | ||||
\(489\) | 7.29550 | + | 11.3520i | 0.329914 | + | 0.513356i | ||||
\(490\) | −5.42139 | + | 6.23997i | −0.244913 | + | 0.281893i | ||||
\(491\) | −2.97342 | + | 4.62673i | −0.134188 | + | 0.208801i | −0.901845 | − | 0.432061i | \(-0.857787\pi\) |
0.767656 | + | 0.640862i | \(0.221423\pi\) | |||||||
\(492\) | −13.2165 | + | 5.99371i | −0.595847 | + | 0.270217i | ||||
\(493\) | −10.2423 | + | 11.8202i | −0.461289 | + | 0.532356i | ||||
\(494\) | 21.9578 | − | 9.99281i | 0.987927 | − | 0.449598i | ||||
\(495\) | −0.167706 | − | 0.145318i | −0.00753782 | − | 0.00653156i | ||||
\(496\) | −5.55479 | + | 37.2387i | −0.249417 | + | 1.67207i | ||||
\(497\) | 0.119732 | + | 0.407771i | 0.00537073 | + | 0.0182910i | ||||
\(498\) | −12.6462 | − | 14.6334i | −0.566689 | − | 0.655740i | ||||
\(499\) | 15.9889 | 0.715763 | 0.357881 | − | 0.933767i | \(-0.383499\pi\) | ||||
0.357881 | + | 0.933767i | \(0.383499\pi\) | |||||||
\(500\) | −17.0399 | + | 2.40411i | −0.762048 | + | 0.107515i | ||||
\(501\) | −5.68869 | + | 8.85178i | −0.254152 | + | 0.395468i | ||||
\(502\) | 7.06751 | + | 3.23889i | 0.315438 | + | 0.144559i | ||||
\(503\) | 15.9250 | + | 34.8709i | 0.710061 | + | 1.55482i | 0.827330 | + | 0.561717i | \(0.189859\pi\) |
−0.117269 | + | 0.993100i | \(0.537414\pi\) | |||||||
\(504\) | 0.0100917 | − | 2.55061i | 0.000449518 | − | 0.113613i | ||||
\(505\) | 12.9752 | − | 3.80986i | 0.577388 | − | 0.169536i | ||||
\(506\) | 0.327499 | + | 0.378962i | 0.0145591 | + | 0.0168469i | ||||
\(507\) | −0.953379 | −0.0423410 | ||||||||
\(508\) | −5.06808 | + | 0.715041i | −0.224860 | + | 0.0317248i | ||||
\(509\) | −2.07978 | − | 14.4652i | −0.0921846 | − | 0.641158i | −0.982562 | − | 0.185935i | \(-0.940469\pi\) |
0.890377 | − | 0.455223i | \(-0.150441\pi\) | |||||||
\(510\) | 2.29429 | + | 0.00302583i | 0.101593 | + | 0.000133986i | ||||
\(511\) | −13.5087 | − | 3.96652i | −0.597591 | − | 0.175469i | ||||
\(512\) | −12.4584 | + | 18.8889i | −0.550588 | + | 0.834777i | ||||
\(513\) | −2.65719 | − | 4.13467i | −0.117318 | − | 0.182550i | ||||
\(514\) | −7.58186 | + | 1.07990i | −0.334422 | + | 0.0476325i | ||||
\(515\) | 1.62631 | + | 11.3112i | 0.0716636 | + | 0.498431i | ||||
\(516\) | 9.95433 | + | 21.9500i | 0.438215 | + | 0.966294i | ||||
\(517\) | −2.10800 | + | 0.962690i | −0.0927096 | + | 0.0423391i | ||||
\(518\) | 12.0238 | + | 1.74495i | 0.528297 | + | 0.0766689i | ||||
\(519\) | 9.88784 | − | 11.4112i | 0.434028 | − | 0.500895i | ||||
\(520\) | −8.45172 | + | 3.81943i | −0.370633 | + | 0.167493i | ||||
\(521\) | 5.95900 | − | 2.72138i | 0.261068 | − | 0.119226i | −0.280581 | − | 0.959830i | \(-0.590527\pi\) |
0.541650 | + | 0.840604i | \(0.317800\pi\) | |||||||
\(522\) | −12.7474 | − | 1.84997i | −0.557941 | − | 0.0809710i | ||||
\(523\) | −0.352774 | + | 1.20144i | −0.0154257 | + | 0.0525352i | −0.966846 | − | 0.255359i | \(-0.917806\pi\) |
0.951420 | + | 0.307895i | \(0.0996244\pi\) | |||||||
\(524\) | −21.4660 | − | 9.87172i | −0.937748 | − | 0.431248i | ||||
\(525\) | 0.527136 | − | 3.66631i | 0.0230061 | − | 0.160011i | ||||
\(526\) | −4.29654 | − | 30.1655i | −0.187338 | − | 1.31528i | ||||
\(527\) | 6.71443 | − | 14.7026i | 0.292485 | − | 0.640453i | ||||
\(528\) | −0.939514 | − | 0.00495635i | −0.0408871 | − | 0.000215698i | ||||
\(529\) | 8.61005 | − | 18.8534i | 0.374350 | − | 0.819712i | ||||
\(530\) | −4.68244 | − | 4.06818i | −0.203392 | − | 0.176710i | ||||
\(531\) | −0.797054 | − | 0.114599i | −0.0345892 | − | 0.00497317i | ||||
\(532\) | −4.77274 | − | 7.46977i | −0.206924 | − | 0.323856i | ||||
\(533\) | −21.1865 | + | 13.6158i | −0.917691 | + | 0.589764i | ||||
\(534\) | 0.464335 | + | 1.58913i | 0.0200937 | + | 0.0687684i | ||||
\(535\) | 2.83687 | 0.122649 | ||||||||
\(536\) | −23.1508 | + | 0.196287i | −0.999964 | + | 0.00847831i | ||||
\(537\) | 12.0652 | 0.520651 | ||||||||
\(538\) | −7.56674 | − | 25.8962i | −0.326225 | − | 1.11647i | ||||
\(539\) | −1.22248 | + | 0.785639i | −0.0526559 | + | 0.0338399i | ||||
\(540\) | 1.01735 | + | 1.59225i | 0.0437800 | + | 0.0685197i | ||||
\(541\) | −33.2779 | − | 4.78464i | −1.43073 | − | 0.205708i | −0.617005 | − | 0.786959i | \(-0.711654\pi\) |
−0.813724 | + | 0.581251i | \(0.802563\pi\) | |||||||
\(542\) | 14.0455 | + | 12.2030i | 0.603307 | + | 0.524163i | ||||
\(543\) | 1.35824 | − | 2.97413i | 0.0582876 | − | 0.127632i | ||||
\(544\) | 7.38297 | − | 6.31262i | 0.316542 | − | 0.270652i | ||||
\(545\) | 4.31440 | − | 9.44722i | 0.184809 | − | 0.404675i | ||||
\(546\) | −0.624163 | − | 4.38217i | −0.0267117 | − | 0.187539i | ||||
\(547\) | 3.01964 | − | 21.0021i | 0.129110 | − | 0.897983i | −0.817575 | − | 0.575823i | \(-0.804682\pi\) |
0.946685 | − | 0.322160i | \(-0.104409\pi\) | |||||||
\(548\) | 16.8080 | + | 7.72962i | 0.718004 | + | 0.330193i | ||||
\(549\) | 0.0751490 | − | 0.255934i | 0.00320728 | − | 0.0109230i | ||||
\(550\) | −1.35023 | − | 0.195952i | −0.0575741 | − | 0.00835542i | ||||
\(551\) | −40.7206 | + | 18.5965i | −1.73475 | + | 0.792236i | ||||
\(552\) | −1.75632 | − | 3.88642i | −0.0747538 | − | 0.165417i | ||||
\(553\) | −0.512836 | + | 0.591845i | −0.0218080 | + | 0.0251678i | ||||
\(554\) | 3.55863 | + | 0.516445i | 0.151192 | + | 0.0219416i | ||||
\(555\) | −8.18725 | + | 3.73899i | −0.347530 | + | 0.158711i | ||||
\(556\) | 6.88548 | + | 15.1829i | 0.292009 | + | 0.643900i | ||||
\(557\) | 3.40107 | + | 23.6550i | 0.144108 | + | 1.00229i | 0.925634 | + | 0.378421i | \(0.123533\pi\) |
−0.781525 | + | 0.623873i | \(0.785558\pi\) | |||||||
\(558\) | 13.1785 | − | 1.87705i | 0.557892 | − | 0.0794620i | ||||
\(559\) | 22.6130 | + | 35.1866i | 0.956429 | + | 1.48823i | ||||
\(560\) | 1.82729 | + | 2.87657i | 0.0772170 | + | 0.121557i | ||||
\(561\) | 0.386994 | + | 0.113632i | 0.0163389 | + | 0.00479753i | ||||
\(562\) | 8.89686 | + | 0.0117336i | 0.375292 | + | 0.000494953i | ||||
\(563\) | −6.13138 | − | 42.6447i | −0.258407 | − | 1.79726i | −0.544187 | − | 0.838964i | \(-0.683162\pi\) |
0.285780 | − | 0.958295i | \(-0.407747\pi\) | |||||||
\(564\) | 19.5391 | − | 2.75672i | 0.822746 | − | 0.116079i | ||||
\(565\) | −18.8698 | −0.793860 | ||||||||
\(566\) | −0.0878204 | − | 0.101621i | −0.00369137 | − | 0.00427144i | ||||
\(567\) | −0.865255 | + | 0.254062i | −0.0363373 | + | 0.0106696i | ||||
\(568\) | −1.33295 | − | 0.00527391i | −0.0559293 | − | 0.000221288i | ||||
\(569\) | −19.1043 | − | 41.8326i | −0.800894 | − | 1.75371i | −0.642423 | − | 0.766351i | \(-0.722071\pi\) |
−0.158472 | − | 0.987364i | \(-0.550657\pi\) | |||||||
\(570\) | 5.96972 | + | 2.73580i | 0.250044 | + | 0.114590i | ||||
\(571\) | −0.592261 | + | 0.921575i | −0.0247853 | + | 0.0385667i | −0.853425 | − | 0.521215i | \(-0.825479\pi\) |
0.828640 | + | 0.559782i | \(0.189115\pi\) | |||||||
\(572\) | −1.61448 | + | 0.227782i | −0.0675047 | + | 0.00952403i | ||||
\(573\) | 12.8429 | 0.536520 | ||||||||
\(574\) | 6.05069 | + | 7.00151i | 0.252551 | + | 0.292237i | ||||
\(575\) | −1.74488 | − | 5.94251i | −0.0727665 | − | 0.247820i | ||||
\(576\) | 7.65787 | + | 2.31453i | 0.319078 | + | 0.0964387i | ||||
\(577\) | −30.0036 | − | 25.9982i | −1.24906 | − | 1.08232i | −0.993298 | − | 0.115582i | \(-0.963127\pi\) |
−0.255767 | − | 0.966739i | \(-0.582328\pi\) | |||||||
\(578\) | 18.0867 | − | 8.23111i | 0.752307 | − | 0.342369i | ||||
\(579\) | 2.58224 | − | 2.98006i | 0.107314 | − | 0.123847i | ||||
\(580\) | 15.6737 | − | 7.10805i | 0.650816 | − | 0.295146i | ||||
\(581\) | −6.66759 | + | 10.3750i | −0.276618 | + | 0.430426i | ||||
\(582\) | 3.66001 | − | 4.21263i | 0.151712 | − | 0.174619i | ||||
\(583\) | −0.589539 | − | 0.917340i | −0.0244162 | − | 0.0379924i | ||||
\(584\) | 24.0207 | − | 37.0538i | 0.993985 | − | 1.53330i | ||||
\(585\) | 2.14735 | + | 2.47817i | 0.0887820 | + | 0.102460i | ||||
\(586\) | 0.0127300 | − | 9.65238i | 0.000525873 | − | 0.398736i | ||||
\(587\) | 4.32893 | − | 30.1084i | 0.178674 | − | 1.24271i | −0.681161 | − | 0.732134i | \(-0.738525\pi\) |
0.859835 | − | 0.510572i | \(-0.170566\pi\) | |||||||
\(588\) | 11.8815 | − | 3.45471i | 0.489985 | − | 0.142470i | ||||
\(589\) | 34.9628 | − | 30.2954i | 1.44062 | − | 1.24830i | ||||
\(590\) | 0.979250 | − | 0.445649i | 0.0403151 | − | 0.0183471i | ||||
\(591\) | 0.787944 | − | 2.68349i | 0.0324117 | − | 0.110384i | ||||
\(592\) | −16.0131 | + | 34.5799i | −0.658134 | + | 1.42122i | ||||
\(593\) | 20.5610 | − | 31.9935i | 0.844338 | − | 1.31382i | −0.103358 | − | 0.994644i | \(-0.532959\pi\) |
0.947697 | − | 0.319172i | \(-0.103405\pi\) | |||||||
\(594\) | 0.0931635 | + | 0.318841i | 0.00382254 | + | 0.0130822i | ||||
\(595\) | −0.412168 | − | 1.40371i | −0.0168972 | − | 0.0575467i | ||||
\(596\) | 12.0565 | + | 7.79325i | 0.493853 | + | 0.319224i | ||||
\(597\) | −2.79536 | + | 0.401913i | −0.114407 | + | 0.0164492i | ||||
\(598\) | −3.99321 | − | 6.23161i | −0.163294 | − | 0.254829i | ||||
\(599\) | −9.62339 | − | 11.1060i | −0.393201 | − | 0.453778i | 0.524287 | − | 0.851542i | \(-0.324332\pi\) |
−0.917488 | + | 0.397763i | \(0.869786\pi\) | |||||||
\(600\) | 10.5485 | + | 4.86788i | 0.430642 | + | 0.198731i | ||||
\(601\) | −10.4248 | + | 22.8271i | −0.425235 | + | 0.931135i | 0.568841 | + | 0.822448i | \(0.307392\pi\) |
−0.994076 | + | 0.108687i | \(0.965335\pi\) | |||||||
\(602\) | 11.6281 | − | 10.0490i | 0.473925 | − | 0.409565i | ||||
\(603\) | 2.40356 | + | 7.82451i | 0.0978806 | + | 0.318639i | ||||
\(604\) | −5.36072 | − | 0.785193i | −0.218125 | − | 0.0319490i | ||||
\(605\) | −9.40581 | − | 4.29549i | −0.382400 | − | 0.174636i | ||||
\(606\) | −19.4151 | − | 5.72860i | −0.788683 | − | 0.232708i | ||||
\(607\) | −17.1262 | + | 14.8399i | −0.695129 | + | 0.602333i | −0.929064 | − | 0.369920i | \(-0.879385\pi\) |
0.233935 | + | 0.972252i | \(0.424840\pi\) | |||||||
\(608\) | 26.7277 | − | 7.65688i | 1.08395 | − | 0.310528i | ||||
\(609\) | 1.16893 | + | 8.13005i | 0.0473672 | + | 0.329446i | ||||
\(610\) | 0.0999549 | + | 0.342083i | 0.00404705 | + | 0.0138506i | ||||
\(611\) | 32.8571 | − | 9.64772i | 1.32926 | − | 0.390305i | ||||
\(612\) | −2.88424 | − | 1.86436i | −0.116589 | − | 0.0753622i | ||||
\(613\) | −34.3606 | − | 22.0822i | −1.38781 | − | 0.891893i | −0.388253 | − | 0.921553i | \(-0.626921\pi\) |
−0.999560 | + | 0.0296596i | \(0.990558\pi\) | |||||||
\(614\) | −29.8358 | + | 19.1188i | −1.20408 | + | 0.771571i | ||||
\(615\) | −6.57754 | − | 1.93134i | −0.265232 | − | 0.0778792i | ||||
\(616\) | 0.166509 | + | 0.575492i | 0.00670885 | + | 0.0231872i | ||||
\(617\) | 13.1779 | + | 15.2081i | 0.530523 | + | 0.612256i | 0.956234 | − | 0.292603i | \(-0.0945214\pi\) |
−0.425711 | + | 0.904859i | \(0.639976\pi\) | |||||||
\(618\) | 7.12656 | − | 15.5507i | 0.286672 | − | 0.625540i | ||||
\(619\) | −24.0070 | − | 3.45169i | −0.964924 | − | 0.138735i | −0.358197 | − | 0.933646i | \(-0.616609\pi\) |
−0.606726 | + | 0.794911i | \(0.707518\pi\) | |||||||
\(620\) | −13.4720 | + | 11.6115i | −0.541050 | + | 0.466329i | ||||
\(621\) | −1.13956 | + | 0.987432i | −0.0457288 | + | 0.0396243i | ||||
\(622\) | −8.49792 | − | 3.89442i | −0.340735 | − | 0.156152i | ||||
\(623\) | 0.888105 | − | 0.570750i | 0.0355812 | − | 0.0228666i | ||||
\(624\) | 13.7314 | + | 2.04827i | 0.549695 | + | 0.0819963i | ||||
\(625\) | 10.4384 | + | 6.70834i | 0.417535 | + | 0.268334i | ||||
\(626\) | −12.7070 | − | 3.74932i | −0.507874 | − | 0.149853i | ||||
\(627\) | 0.872451 | + | 0.755983i | 0.0348423 | + | 0.0301911i | ||||
\(628\) | 16.4988 | − | 35.8765i | 0.658373 | − | 1.43163i | ||||
\(629\) | 10.7131 | − | 12.3635i | 0.427158 | − | 0.492966i | ||||
\(630\) | 0.790219 | − | 0.909535i | 0.0314831 | − | 0.0362368i | ||||
\(631\) | −16.4606 | + | 4.83328i | −0.655287 | + | 0.192410i | −0.592441 | − | 0.805614i | \(-0.701836\pi\) |
−0.0628459 | + | 0.998023i | \(0.520018\pi\) | |||||||
\(632\) | −1.31976 | − | 2.07157i | −0.0524974 | − | 0.0824025i | ||||
\(633\) | 24.0993i | 0.957861i | ||||||||
\(634\) | −18.2919 | + | 28.3805i | −0.726466 | + | 1.12713i | ||||
\(635\) | −2.03396 | − | 1.30715i | −0.0807152 | − | 0.0518725i | ||||
\(636\) | 2.59239 | + | 8.91581i | 0.102795 | + | 0.353535i | ||||
\(637\) | 19.5328 | − | 8.92031i | 0.773916 | − | 0.353436i | ||||
\(638\) | 2.99528 | − | 0.426625i | 0.118584 | − | 0.0168902i | ||||
\(639\) | 0.132773 | + | 0.452183i | 0.00525241 | + | 0.0178881i | ||||
\(640\) | −10.2831 | + | 2.91656i | −0.406476 | + | 0.115287i | ||||
\(641\) | − | 10.5220i | − | 0.415595i | −0.978172 | − | 0.207797i | \(-0.933371\pi\) | ||
0.978172 | − | 0.207797i | \(-0.0666294\pi\) | |||||||
\(642\) | −3.56937 | − | 2.30055i | −0.140872 | − | 0.0907956i | ||||
\(643\) | −12.0119 | + | 1.72705i | −0.473702 | + | 0.0681081i | −0.375032 | − | 0.927012i | \(-0.622368\pi\) |
−0.0986707 | + | 0.995120i | \(0.531459\pi\) | |||||||
\(644\) | −2.05996 | + | 1.77547i | −0.0811737 | + | 0.0699634i | ||||
\(645\) | −3.20757 | + | 10.9240i | −0.126298 | + | 0.430131i | ||||
\(646\) | −11.9355 | − | 0.0157412i | −0.469597 | − | 0.000619328i | ||||
\(647\) | −23.9116 | + | 15.3670i | −0.940060 | + | 0.604140i | −0.918412 | − | 0.395626i | \(-0.870528\pi\) |
−0.0216484 | + | 0.999766i | \(0.506891\pi\) | |||||||
\(648\) | 0.0111908 | − | 2.82840i | 0.000439615 | − | 0.111110i | ||||
\(649\) | 0.187213 | − | 0.0269172i | 0.00734876 | − | 0.00105659i | ||||
\(650\) | 19.3371 | + | 5.70559i | 0.758463 | + | 0.223792i | ||||
\(651\) | −3.52613 | − | 7.72115i | −0.138200 | − | 0.302616i | ||||
\(652\) | 14.5311 | + | 22.7424i | 0.569080 | + | 0.890663i | ||||
\(653\) | 23.6891 | + | 20.5267i | 0.927025 | + | 0.803272i | 0.980747 | − | 0.195284i | \(-0.0625629\pi\) |
−0.0537215 | + | 0.998556i | \(0.517108\pi\) | |||||||
\(654\) | −13.0896 | + | 8.38781i | −0.511844 | + | 0.327989i | ||||
\(655\) | −4.63644 | − | 10.1524i | −0.181161 | − | 0.396687i | ||||
\(656\) | −26.4646 | + | 11.9177i | −1.03327 | + | 0.465306i | ||||
\(657\) | −14.9800 | − | 4.39853i | −0.584426 | − | 0.171603i | ||||
\(658\) | −5.21193 | − | 11.4525i | −0.203182 | − | 0.446464i | ||||
\(659\) | 29.7943 | + | 4.28378i | 1.16062 | + | 0.166872i | 0.695602 | − | 0.718428i | \(-0.255138\pi\) |
0.465020 | + | 0.885300i | \(0.346047\pi\) | |||||||
\(660\) | −0.334644 | − | 0.291520i | −0.0130260 | − | 0.0113474i | ||||
\(661\) | −18.8020 | − | 8.58660i | −0.731314 | − | 0.333980i | 0.0147165 | − | 0.999892i | \(-0.495315\pi\) |
−0.746031 | + | 0.665912i | \(0.768043\pi\) | |||||||
\(662\) | 16.9342 | − | 26.2739i | 0.658167 | − | 1.02116i | ||||
\(663\) | −5.42140 | − | 2.47587i | −0.210550 | − | 0.0961549i | ||||
\(664\) | −25.2151 | − | 29.3335i | −0.978535 | − | 1.13836i | ||||
\(665\) | 0.595920 | − | 4.14471i | 0.0231088 | − | 0.160725i | ||||
\(666\) | 13.3334 | + | 1.93500i | 0.516658 | + | 0.0749798i | ||||
\(667\) | 7.42508 | + | 11.5537i | 0.287500 | + | 0.447359i | ||||
\(668\) | −11.4240 | + | 17.6735i | −0.442009 | + | 0.683807i | ||||
\(669\) | 21.4154i | 0.827966i | ||||||||
\(670\) | −8.34427 | − | 7.06949i | −0.322367 | − | 0.273118i | ||||
\(671\) | 0.0626520i | 0.00241865i | ||||||||
\(672\) | 0.0336387 | − | 5.10115i | 0.00129764 | − | 0.196781i | ||||
\(673\) | −19.3271 | − | 30.0735i | −0.745003 | − | 1.15925i | −0.982209 | − | 0.187789i | \(-0.939868\pi\) |
0.237206 | − | 0.971459i | \(-0.423768\pi\) | |||||||
\(674\) | 3.60007 | − | 24.8067i | 0.138670 | − | 0.955520i | ||||
\(675\) | 0.584548 | − | 4.06562i | 0.0224993 | − | 0.156486i | ||||
\(676\) | −1.90675 | − | 0.00502944i | −0.0733366 | − | 0.000193440i | ||||
\(677\) | −22.1266 | − | 10.1049i | −0.850393 | − | 0.388361i | −0.0579586 | − | 0.998319i | \(-0.518459\pi\) |
−0.792434 | + | 0.609958i | \(0.791186\pi\) | |||||||
\(678\) | 23.7422 | + | 15.3024i | 0.911812 | + | 0.587687i | ||||
\(679\) | −3.23687 | − | 1.47823i | −0.124220 | − | 0.0567293i | ||||
\(680\) | 4.58856 | + | 0.0181549i | 0.175963 | + | 0.000696210i | ||||
\(681\) | −17.3648 | − | 2.49668i | −0.665420 | − | 0.0956730i | ||||
\(682\) | −2.84580 | + | 1.29510i | −0.108971 | + | 0.0495920i | ||||
\(683\) | 12.5061 | + | 3.67213i | 0.478533 | + | 0.140510i | 0.512099 | − | 0.858926i | \(-0.328868\pi\) |
−0.0335657 | + | 0.999437i | \(0.510686\pi\) | |||||||
\(684\) | −5.29255 | − | 8.28333i | −0.202366 | − | 0.316721i | ||||
\(685\) | 3.63036 | + | 7.94938i | 0.138709 | + | 0.303730i | ||||
\(686\) | −9.07345 | − | 14.1596i | −0.346426 | − | 0.540616i | ||||
\(687\) | 5.23008 | + | 4.53189i | 0.199540 | + | 0.172902i | ||||
\(688\) | 19.7928 | + | 43.9523i | 0.754594 | + | 1.67567i | ||||
\(689\) | 6.69375 | + | 14.6573i | 0.255011 | + | 0.558397i | ||||
\(690\) | 0.570135 | − | 1.93227i | 0.0217047 | − | 0.0735602i | ||||
\(691\) | 42.7270 | − | 6.14322i | 1.62541 | − | 0.233699i | 0.731467 | − | 0.681877i | \(-0.238836\pi\) |
0.893944 | + | 0.448178i | \(0.147927\pi\) | |||||||
\(692\) | 19.8358 | − | 22.7701i | 0.754045 | − | 0.865590i | ||||
\(693\) | 0.178188 | − | 0.114514i | 0.00676880 | − | 0.00435004i | ||||
\(694\) | −0.00838452 | + | 6.35745i | −0.000318272 | + | 0.241326i | ||||
\(695\) | −2.21869 | + | 7.55618i | −0.0841598 | + | 0.286622i | ||||
\(696\) | −25.4851 | − | 3.76717i | −0.966008 | − | 0.142794i | ||||
\(697\) | 12.3331 | − | 1.77323i | 0.467148 | − | 0.0671657i | ||||
\(698\) | 7.10365 | − | 11.0215i | 0.268877 | − | 0.417170i | ||||
\(699\) | − | 19.3879i | − | 0.733316i | ||||||
\(700\) | 1.07361 | − | 7.32982i | 0.0405786 | − | 0.277041i | ||||
\(701\) | −0.843269 | − | 2.87191i | −0.0318498 | − | 0.108471i | 0.942034 | − | 0.335517i | \(-0.108911\pi\) |
−0.973884 | + | 0.227047i | \(0.927093\pi\) | |||||||
\(702\) | −0.692142 | − | 4.85944i | −0.0261232 | − | 0.183408i | ||||
\(703\) | 42.5923 | − | 19.4512i | 1.60640 | − | 0.733618i | ||||
\(704\) | −1.87899 | − | 0.0148690i | −0.0708173 | − | 0.000560395i | ||||
\(705\) | 7.84158 | + | 5.03947i | 0.295331 | + | 0.189798i | ||||
\(706\) | −24.1669 | − | 15.5762i | −0.909534 | − | 0.586218i | ||||
\(707\) | 12.9078i | 0.485448i | ||||||||
\(708\) | −1.59350 | − | 0.233402i | −0.0598873 | − | 0.00877178i | ||||
\(709\) | −5.11451 | + | 1.50176i | −0.192079 | + | 0.0563996i | −0.376357 | − | 0.926475i | \(-0.622824\pi\) |
0.184278 | + | 0.982874i | \(0.441005\pi\) | |||||||
\(710\) | −0.475324 | − | 0.412969i | −0.0178386 | − | 0.0154985i | ||||
\(711\) | −0.568691 | + | 0.656305i | −0.0213276 | + | 0.0246133i | ||||
\(712\) | 0.920284 | + | 3.18070i | 0.0344891 | + | 0.119202i | ||||
\(713\) | −10.7263 | − | 9.29439i | −0.401703 | − | 0.348078i | ||||
\(714\) | −0.619746 | + | 2.10041i | −0.0231934 | + | 0.0786058i | ||||
\(715\) | −0.647933 | − | 0.416401i | −0.0242313 | − | 0.0155725i | ||||
\(716\) | 24.1303 | + | 0.0636485i | 0.901790 | + | 0.00237866i | ||||
\(717\) | 15.4993 | − | 9.96081i | 0.578833 | − | 0.371993i | ||||
\(718\) | 16.2228 | − | 35.3994i | 0.605430 | − | 1.32109i | ||||
\(719\) | −29.2952 | + | 25.3844i | −1.09253 | + | 0.946679i | −0.998803 | − | 0.0489195i | \(-0.984422\pi\) |
−0.0937229 | + | 0.995598i | \(0.529877\pi\) | |||||||
\(720\) | 2.02630 | + | 3.18986i | 0.0755158 | + | 0.118879i | ||||
\(721\) | −10.7967 | − | 1.55233i | −0.402089 | − | 0.0578117i | ||||
\(722\) | −6.62897 | − | 3.03792i | −0.246705 | − | 0.113060i | ||||
\(723\) | −2.36916 | − | 2.73416i | −0.0881102 | − | 0.101685i | ||||
\(724\) | 2.73216 | − | 5.94107i | 0.101540 | − | 0.220798i | ||||
\(725\) | −35.8960 | − | 10.5400i | −1.33314 | − | 0.391446i | ||||
\(726\) | 8.35104 | + | 13.0322i | 0.309936 | + | 0.483671i | ||||
\(727\) | −24.6626 | − | 15.8497i | −0.914685 | − | 0.587832i | −0.00357398 | − | 0.999994i | \(-0.501138\pi\) |
−0.911111 | + | 0.412161i | \(0.864774\pi\) | |||||||
\(728\) | −1.22520 | − | 8.76759i | −0.0454090 | − | 0.324949i | ||||
\(729\) | −0.959493 | + | 0.281733i | −0.0355368 | + | 0.0104345i | ||||
\(730\) | 20.0224 | − | 5.85044i | 0.741062 | − | 0.216534i | ||||
\(731\) | −2.94497 | − | 20.4827i | −0.108924 | − | 0.757580i | ||||
\(732\) | 0.151648 | − | 0.511470i | 0.00560506 | − | 0.0189045i | ||||
\(733\) | 34.2957 | − | 29.7174i | 1.26674 | − | 1.09764i | 0.276102 | − | 0.961128i | \(-0.410957\pi\) |
0.990639 | − | 0.136509i | \(-0.0435883\pi\) | |||||||
\(734\) | −2.56593 | + | 8.69632i | −0.0947104 | + | 0.320987i | ||||
\(735\) | 5.31682 | + | 2.42811i | 0.196114 | + | 0.0895622i | ||||
\(736\) | −3.49212 | − | 7.78207i | −0.128721 | − | 0.286851i | ||||
\(737\) | −1.05946 | − | 1.60433i | −0.0390258 | − | 0.0590964i | ||||
\(738\) | 6.70969 | + | 7.76407i | 0.246987 | + | 0.285799i | ||||
\(739\) | −7.70461 | + | 16.8707i | −0.283419 | + | 0.620600i | −0.996779 | − | 0.0801971i | \(-0.974445\pi\) |
0.713360 | + | 0.700797i | \(0.247172\pi\) | |||||||
\(740\) | −16.3942 | + | 7.43477i | −0.602662 | + | 0.273308i | ||||
\(741\) | −11.1711 | − | 12.8921i | −0.410380 | − | 0.473604i | ||||
\(742\) | 4.98501 | − | 3.19439i | 0.183006 | − | 0.117270i | ||||
\(743\) | −22.7454 | + | 3.27029i | −0.834447 | + | 0.119975i | −0.546278 | − | 0.837604i | \(-0.683956\pi\) |
−0.288169 | + | 0.957579i | \(0.593047\pi\) | |||||||
\(744\) | 26.3669 | − | 3.68457i | 0.966658 | − | 0.135083i | ||||
\(745\) | 1.91056 | + | 6.50677i | 0.0699975 | + | 0.238390i | ||||
\(746\) | 31.1852 | − | 9.11214i | 1.14177 | − | 0.333619i | ||||
\(747\) | −7.39378 | + | 11.5049i | −0.270524 | + | 0.420944i | ||||
\(748\) | 0.773386 | + | 0.229304i | 0.0282778 | + | 0.00838419i | ||||
\(749\) | −0.762883 | + | 2.59814i | −0.0278751 | + | 0.0949340i | ||||
\(750\) | 5.04032 | + | 11.0754i | 0.184046 | + | 0.404416i | ||||
\(751\) | −15.7529 | + | 13.6499i | −0.574830 | + | 0.498093i | −0.893070 | − | 0.449917i | \(-0.851454\pi\) |
0.318240 | + | 0.948010i | \(0.396908\pi\) | |||||||
\(752\) | 39.0927 | − | 5.41034i | 1.42556 | − | 0.197295i | ||||
\(753\) | 0.782344 | − | 5.44132i | 0.0285102 | − | 0.198293i | ||||
\(754\) | −44.7076 | − | 0.0589626i | −1.62816 | − | 0.00214729i | ||||
\(755\) | −1.67599 | − | 1.93420i | −0.0609957 | − | 0.0703928i | ||||
\(756\) | −1.73184 | + | 0.503557i | −0.0629866 | + | 0.0183142i | ||||
\(757\) | 4.67638 | + | 7.27659i | 0.169966 | + | 0.264472i | 0.915778 | − | 0.401684i | \(-0.131575\pi\) |
−0.745812 | + | 0.666156i | \(0.767939\pi\) | |||||||
\(758\) | 41.3485 | + | 35.9243i | 1.50185 | + | 1.30483i | ||||
\(759\) | 0.191477 | − | 0.297944i | 0.00695017 | − | 0.0108147i | ||||
\(760\) | 11.9250 | + | 5.50308i | 0.432564 | + | 0.199618i | ||||
\(761\) | −15.5182 | + | 17.9090i | −0.562534 | + | 0.649199i | −0.963757 | − | 0.266781i | \(-0.914040\pi\) |
0.401223 | + | 0.915980i | \(0.368585\pi\) | |||||||
\(762\) | 1.49911 | + | 3.29409i | 0.0543072 | + | 0.119332i | ||||
\(763\) | 7.49199 | + | 6.49185i | 0.271228 | + | 0.235021i | ||||
\(764\) | 25.6857 | + | 0.0677513i | 0.929276 | + | 0.00245116i | ||||
\(765\) | −0.457058 | − | 1.55660i | −0.0165250 | − | 0.0562789i | ||||
\(766\) | −10.1024 | + | 8.73046i | −0.365014 | + | 0.315444i | ||||
\(767\) | −2.79488 | −0.100917 | ||||||||
\(768\) | 15.3035 | + | 4.66944i | 0.552217 | + | 0.168494i | ||||
\(769\) | −11.2781 | + | 17.5491i | −0.406699 | + | 0.632835i | −0.982828 | − | 0.184523i | \(-0.940926\pi\) |
0.576130 | + | 0.817358i | \(0.304562\pi\) | |||||||
\(770\) | −0.117902 | + | 0.257271i | −0.00424890 | + | 0.00927142i | ||||
\(771\) | 2.24959 | + | 4.92593i | 0.0810172 | + | 0.177403i | ||||
\(772\) | 5.18017 | − | 5.94647i | 0.186439 | − | 0.214018i | ||||
\(773\) | −31.0639 | + | 9.12118i | −1.11729 | + | 0.328066i | −0.787701 | − | 0.616058i | \(-0.788729\pi\) |
−0.329590 | + | 0.944124i | \(0.606910\pi\) | |||||||
\(774\) | 12.8945 | − | 11.1434i | 0.463485 | − | 0.400543i | ||||
\(775\) | 38.6620 | 1.38878 | ||||||||
\(776\) | 7.34221 | − | 8.40593i | 0.263570 | − | 0.301755i | ||||
\(777\) | −1.22265 | − | 8.50375i | −0.0438625 | − | 0.305070i | ||||
\(778\) | 0.0501078 | − | 37.9935i | 0.00179645 | − | 1.36213i | ||||
\(779\) | 34.2181 | + | 10.0474i | 1.22599 | + | 0.359984i | ||||
\(780\) | 4.28161 | + | 4.96766i | 0.153306 | + | 0.177871i | ||||
\(781\) | −0.0598453 | − | 0.0931211i | −0.00214143 | − | 0.00333213i | ||||
\(782\) | 0.516338 | + | 3.62514i | 0.0184642 | + | 0.129635i | ||||
\(783\) | 1.29624 | + | 9.01553i | 0.0463237 | + | 0.322189i | ||||
\(784\) | 23.7812 | − | 6.84672i | 0.849327 | − | 0.244526i | ||||
\(785\) | 16.9679 | − | 7.74896i | 0.605609 | − | 0.276572i | ||||
\(786\) | −2.39945 | + | 16.5337i | −0.0855855 | + | 0.589738i | ||||
\(787\) | −27.4159 | + | 31.6397i | −0.977272 | + | 1.12783i | 0.0145105 | + | 0.999895i | \(0.495381\pi\) |
−0.991782 | + | 0.127937i | \(0.959164\pi\) | |||||||
\(788\) | 1.59004 | − | 5.36280i | 0.0566428 | − | 0.191042i | ||||
\(789\) | −19.5985 | + | 8.95032i | −0.697724 | + | 0.318640i | ||||
\(790\) | 0.166640 | − | 1.14825i | 0.00592878 | − | 0.0408530i | ||||
\(791\) | 5.07442 | − | 17.2819i | 0.180426 | − | 0.614473i | ||||
\(792\) | 0.184644 | + | 0.638171i | 0.00656105 | + | 0.0226764i | ||||
\(793\) | 0.131756 | − | 0.916380i | 0.00467878 | − | 0.0325416i | ||||
\(794\) | −0.633634 | + | 0.0902501i | −0.0224868 | + | 0.00320286i | ||||
\(795\) | −1.82204 | + | 3.98971i | −0.0646211 | + | 0.141501i | ||||
\(796\) | −5.59283 | + | 0.789076i | −0.198233 | + | 0.0279681i | ||||
\(797\) | −2.14580 | + | 4.69865i | −0.0760081 | + | 0.166435i | −0.943822 | − | 0.330456i | \(-0.892798\pi\) |
0.867813 | + | 0.496890i | \(0.165525\pi\) | |||||||
\(798\) | −4.11093 | + | 4.73165i | −0.145525 | + | 0.167498i | ||||
\(799\) | −16.7697 | − | 2.41112i | −0.593269 | − | 0.0852992i | ||||
\(800\) | 21.0713 | + | 9.79138i | 0.744983 | + | 0.346178i | ||||
\(801\) | 0.984831 | − | 0.632913i | 0.0347973 | − | 0.0223629i | ||||
\(802\) | −15.0223 | + | 4.38945i | −0.530457 | + | 0.154997i | ||||
\(803\) | 3.66707 | 0.129408 | ||||||||
\(804\) | 4.76583 | + | 15.6616i | 0.168078 | + | 0.552343i | ||||
\(805\) | −1.28464 | −0.0452776 | ||||||||
\(806\) | 44.3477 | − | 12.9581i | 1.56208 | − | 0.456431i | ||||
\(807\) | −16.0487 | + | 10.3139i | −0.564940 | + | 0.363065i | ||||
\(808\) | −38.7998 | − | 11.5596i | −1.36497 | − | 0.406665i | ||||
\(809\) | 8.37100 | + | 1.20357i | 0.294309 | + | 0.0423152i | 0.287888 | − | 0.957664i | \(-0.407047\pi\) |
0.00642105 | + | 0.999979i | \(0.497956\pi\) | |||||||
\(810\) | 0.876285 | − | 1.00860i | 0.0307895 | − | 0.0354385i | ||||
\(811\) | −4.19360 | + | 9.18271i | −0.147257 | + | 0.322448i | −0.968859 | − | 0.247614i | \(-0.920354\pi\) |
0.821602 | + | 0.570062i | \(0.193081\pi\) | |||||||
\(812\) | 2.29495 | + | 16.2662i | 0.0805371 | + | 0.570832i | ||||
\(813\) | 5.46543 | − | 11.9676i | 0.191681 | − | 0.419723i | ||||
\(814\) | −3.13295 | + | 0.446234i | −0.109810 | + | 0.0156405i | ||||
\(815\) | −1.81434 | + | 12.6190i | −0.0635534 | + | 0.442024i | ||||
\(816\) | −5.75863 | − | 3.74392i | −0.201592 | − | 0.131063i | ||||
\(817\) | 16.6866 | − | 56.8294i | 0.583791 | − | 1.98821i | ||||
\(818\) | 6.67594 | − | 46.0014i | 0.233419 | − | 1.60840i | ||||
\(819\) | −2.84709 | + | 1.30022i | −0.0994853 | + | 0.0454334i | ||||
\(820\) | −13.1449 | − | 3.89737i | −0.459038 | − | 0.136102i | ||||
\(821\) | 6.80547 | − | 7.85393i | 0.237512 | − | 0.274104i | −0.624463 | − | 0.781055i | \(-0.714682\pi\) |
0.861975 | + | 0.506951i | \(0.169227\pi\) | |||||||
\(822\) | 1.87878 | − | 12.9460i | 0.0655301 | − | 0.451544i | ||||
\(823\) | 34.6599 | − | 15.8286i | 1.20817 | − | 0.551752i | 0.293500 | − | 0.955959i | \(-0.405180\pi\) |
0.914667 | + | 0.404207i | \(0.132453\pi\) | |||||||
\(824\) | 14.3351 | − | 31.0637i | 0.499387 | − | 1.08215i | ||||
\(825\) | 0.137300 | + | 0.954940i | 0.00478016 | + | 0.0332467i | ||||
\(826\) | 0.144809 | + | 1.01669i | 0.00503855 | + | 0.0353750i | ||||
\(827\) | −9.80385 | − | 15.2551i | −0.340913 | − | 0.530471i | 0.627890 | − | 0.778302i | \(-0.283919\pi\) |
−0.968803 | + | 0.247831i | \(0.920282\pi\) | |||||||
\(828\) | −2.28432 | + | 1.96885i | −0.0793854 | + | 0.0684221i | ||||
\(829\) | 2.70956 | + | 0.795598i | 0.0941069 | + | 0.0276323i | 0.328447 | − | 0.944522i | \(-0.393475\pi\) |
−0.234340 | + | 0.972155i | \(0.575293\pi\) | |||||||
\(830\) | 0.0240984 | − | 18.2723i | 0.000836469 | − | 0.634241i | ||||
\(831\) | −0.361862 | − | 2.51681i | −0.0125529 | − | 0.0873071i | ||||
\(832\) | 27.4518 | + | 4.16896i | 0.951721 | + | 0.144533i | ||||
\(833\) | −10.6238 | −0.368092 | ||||||||
\(834\) | 8.91923 | − | 7.70799i | 0.308848 | − | 0.266906i | ||||
\(835\) | −9.53820 | + | 2.80067i | −0.330083 | + | 0.0969212i | ||||
\(836\) | 1.74091 | + | 1.51656i | 0.0602106 | + | 0.0524514i | ||||
\(837\) | −3.91017 | − | 8.56208i | −0.135155 | − | 0.295949i | ||||
\(838\) | −2.79805 | + | 6.10556i | −0.0966571 | + | 0.210913i | ||||
\(839\) | 14.1141 | − | 21.9620i | 0.487273 | − | 0.758211i | −0.507354 | − | 0.861738i | \(-0.669376\pi\) |
0.994627 | + | 0.103527i | \(0.0330127\pi\) | |||||||
\(840\) | 1.58523 | − | 1.81490i | 0.0546957 | − | 0.0626198i | ||||
\(841\) | 53.9599 | 1.86069 | ||||||||
\(842\) | 29.3892 | − | 25.3981i | 1.01282 | − | 0.875277i | ||||
\(843\) | −1.77239 | − | 6.03621i | −0.0610444 | − | 0.207898i | ||||
\(844\) | −0.127133 | + | 48.1984i | −0.00437611 | + | 1.65906i | ||||
\(845\) | −0.680714 | − | 0.589842i | −0.0234173 | − | 0.0202912i | ||||
\(846\) | −5.77958 | − | 12.6998i | −0.198706 | − | 0.436628i | ||||
\(847\) | 6.46339 | − | 7.45915i | 0.222085 | − | 0.256299i | ||||
\(848\) | 5.13774 | + | 17.8452i | 0.176431 | + | 0.612808i | ||||
\(849\) | −0.0513455 | + | 0.0798952i | −0.00176217 | + | 0.00274199i | ||||
\(850\) | −7.52973 | − | 6.54195i | −0.258268 | − | 0.224387i | ||||
\(851\) | −7.76637 | − | 12.0847i | −0.266228 | − | 0.414259i | ||||
\(852\) | 0.263159 | + | 0.905063i | 0.00901569 | + | 0.0310069i | ||||
\(853\) | −1.08042 | − | 1.24687i | −0.0369927 | − | 0.0426919i | 0.736952 | − | 0.675945i | \(-0.236264\pi\) |
−0.773944 | + | 0.633254i | \(0.781719\pi\) | |||||||
\(854\) | −0.340176 | 0.000448640i | −0.0116406 | 1.53522e-5i | ||||||
\(855\) | 0.660824 | − | 4.59613i | 0.0225997 | − | 0.157184i | ||||
\(856\) | −7.12659 | − | 4.61992i | −0.243582 | − | 0.157906i | ||||
\(857\) | 24.2422 | − | 21.0060i | 0.828099 | − | 0.717552i | −0.133785 | − | 0.991010i | \(-0.542713\pi\) |
0.961884 | + | 0.273459i | \(0.0881677\pi\) | |||||||
\(858\) | 0.477554 | + | 1.04936i | 0.0163034 | + | 0.0358245i | ||||
\(859\) | −4.04814 | + | 13.7867i | −0.138121 | + | 0.470396i | −0.999280 | − | 0.0379390i | \(-0.987921\pi\) |
0.861159 | + | 0.508335i | \(0.169739\pi\) | |||||||
\(860\) | −6.47274 | + | 21.8309i | −0.220718 | + | 0.744429i | ||||
\(861\) | 3.53762 | − | 5.50465i | 0.120562 | − | 0.187598i | ||||
\(862\) | 27.9454 | − | 8.16548i | 0.951823 | − | 0.278117i | ||||
\(863\) | −4.26341 | − | 14.5198i | −0.145128 | − | 0.494261i | 0.854557 | − | 0.519358i | \(-0.173829\pi\) |
−0.999685 | + | 0.0250970i | \(0.992011\pi\) | |||||||
\(864\) | 0.0373024 | − | 5.65673i | 0.00126905 | − | 0.192446i | ||||
\(865\) | 14.1199 | − | 2.03013i | 0.480090 | − | 0.0690265i | ||||
\(866\) | −24.4588 | + | 15.6731i | −0.831142 | + | 0.532595i | ||||
\(867\) | −9.20166 | − | 10.6193i | −0.312505 | − | 0.360650i | ||||
\(868\) | −7.01150 | − | 15.4608i | −0.237986 | − | 0.524775i | ||||
\(869\) | 0.0847342 | − | 0.185542i | 0.00287441 | − | 0.00629408i | ||||
\(870\) | −7.95715 | − | 9.20755i | −0.269773 | − | 0.312165i | ||||
\(871\) | 12.1223 | + | 25.6938i | 0.410750 | + | 0.870602i | ||||
\(872\) | −26.2234 | + | 16.7065i | −0.888035 | + | 0.565754i | ||||
\(873\) | −3.58941 | − | 1.63923i | −0.121483 | − | 0.0554795i | ||||
\(874\) | −2.96599 | + | 10.0522i | −0.100326 | + | 0.340020i | ||||
\(875\) | 5.86405 | − | 5.08122i | 0.198241 | − | 0.171777i | ||||
\(876\) | −29.9367 | − | 8.87605i | −1.01147 | − | 0.299894i | ||||
\(877\) | 1.25180 | + | 8.70644i | 0.0422702 | + | 0.293996i | 0.999980 | + | 0.00626108i | \(0.00199298\pi\) |
−0.957710 | + | 0.287735i | \(0.907098\pi\) | |||||||
\(878\) | −24.9360 | + | 7.28617i | −0.841550 | + | 0.245896i | ||||
\(879\) | −6.54880 | + | 1.92290i | −0.220885 | + | 0.0648578i | ||||
\(880\) | −0.667748 | − | 0.584803i | −0.0225098 | − | 0.0197137i | ||||
\(881\) | 43.7163 | + | 28.0948i | 1.47284 | + | 0.946537i | 0.997781 | + | 0.0665831i | \(0.0212098\pi\) |
0.475059 | + | 0.879954i | \(0.342427\pi\) | |||||||
\(882\) | −4.72059 | − | 7.36673i | −0.158951 | − | 0.248051i | ||||
\(883\) | −8.96844 | − | 2.63337i | −0.301812 | − | 0.0886200i | 0.127320 | − | 0.991862i | \(-0.459362\pi\) |
−0.429132 | + | 0.903242i | \(0.641181\pi\) | |||||||
\(884\) | −10.8297 | − | 4.98032i | −0.364242 | − | 0.167506i | ||||
\(885\) | −0.498197 | − | 0.574950i | −0.0167467 | − | 0.0193267i | ||||
\(886\) | −21.5510 | − | 9.87637i | −0.724019 | − | 0.331803i | ||||
\(887\) | −50.4620 | − | 7.25534i | −1.69435 | − | 0.243610i | −0.773574 | − | 0.633706i | \(-0.781533\pi\) |
−0.920774 | + | 0.390096i | \(0.872442\pi\) | |||||||
\(888\) | 26.6565 | + | 3.94033i | 0.894532 | + | 0.132229i | ||||
\(889\) | 1.74411 | − | 1.51128i | 0.0584956 | − | 0.0506867i | ||||
\(890\) | −0.651636 | + | 1.42192i | −0.0218429 | + | 0.0476628i | ||||
\(891\) | 0.197595 | − | 0.126987i | 0.00661968 | − | 0.00425421i | ||||
\(892\) | −0.112974 | + | 42.8306i | −0.00378266 | + | 1.43407i | ||||
\(893\) | −40.7940 | − | 26.2167i | −1.36512 | − | 0.877308i | ||||
\(894\) | 2.87277 | − | 9.73623i | 0.0960797 | − | 0.325628i | ||||
\(895\) | 8.61455 | + | 7.46455i | 0.287953 | + | 0.249513i | ||||
\(896\) | 0.0941877 | − | 10.2021i | 0.00314659 | − | 0.340828i | ||||
\(897\) | −3.42720 | + | 3.95520i | −0.114431 | + | 0.132060i | ||||
\(898\) | 26.4148 | + | 22.9496i | 0.881472 | + | 0.765838i | ||||
\(899\) | −82.2602 | + | 24.1538i | −2.74353 | + | 0.805573i | ||||
\(900\) | 1.19054 | − | 8.12813i | 0.0396847 | − | 0.270938i | ||||
\(901\) | − | 7.97201i | − | 0.265586i | ||||||
\(902\) | −2.02592 | − | 1.30576i | −0.0674559 | − | 0.0434771i | ||||
\(903\) | −9.14211 | − | 5.87528i | −0.304230 | − | 0.195517i | ||||
\(904\) | 47.4034 | + | 30.7300i | 1.57662 | + | 1.02207i | ||||
\(905\) | 2.80984 | − | 1.28321i | 0.0934022 | − | 0.0426553i | ||||
\(906\) | 0.540213 | + | 3.79277i | 0.0179474 | + | 0.126006i | ||||
\(907\) | 7.51333 | + | 25.5881i | 0.249476 | + | 0.849637i | 0.985061 | + | 0.172205i | \(0.0550891\pi\) |
−0.735585 | + | 0.677432i | \(0.763093\pi\) | |||||||
\(908\) | −34.7163 | − | 5.08495i | −1.15210 | − | 0.168750i | ||||
\(909\) | 14.3137i | 0.474754i | ||||||||
\(910\) | 2.26553 | − | 3.51503i | 0.0751016 | − | 0.116522i | ||||
\(911\) | 21.4045 | − | 3.07750i | 0.709163 | − | 0.101962i | 0.221711 | − | 0.975112i | \(-0.428836\pi\) |
0.487451 | + | 0.873150i | \(0.337927\pi\) | |||||||
\(912\) | −10.5414 | − | 16.5945i | −0.349060 | − | 0.549500i | ||||
\(913\) | 0.904990 | − | 3.08211i | 0.0299508 | − | 0.102003i | ||||
\(914\) | −0.0326466 | + | 24.7538i | −0.00107985 | + | 0.818783i | ||||
\(915\) | 0.211999 | − | 0.136244i | 0.00700848 | − | 0.00450408i | ||||
\(916\) | 10.4362 | + | 9.09133i | 0.344822 | + | 0.300386i | ||||
\(917\) | 10.5448 | − | 1.51612i | 0.348222 | − | 0.0500667i | ||||
\(918\) | −0.687244 | + | 2.32917i | −0.0226824 | + | 0.0768741i | ||||
\(919\) | 1.75900 | + | 3.85167i | 0.0580240 | + | 0.127055i | 0.936423 | − | 0.350873i | \(-0.114115\pi\) |
−0.878399 | + | 0.477928i | \(0.841388\pi\) | |||||||
\(920\) | 1.15046 | − | 3.86152i | 0.0379295 | − | 0.127310i | ||||
\(921\) | 18.9368 | + | 16.4088i | 0.623989 | + | 0.540690i | ||||
\(922\) | 1.43522 | + | 2.23974i | 0.0472666 | + | 0.0737620i | ||||
\(923\) | 0.679496 | + | 1.48789i | 0.0223659 | + | 0.0489745i | ||||
\(924\) | 0.356979 | − | 0.228088i | 0.0117437 | − | 0.00750355i | ||||
\(925\) | 37.5460 | + | 11.0245i | 1.23450 | + | 0.362483i | ||||
\(926\) | −10.9484 | + | 4.98251i | −0.359785 | + | 0.163735i | ||||
\(927\) | −11.9726 | − | 1.72140i | −0.393231 | − | 0.0565381i | ||||
\(928\) | −50.9501 | − | 7.66876i | −1.67252 | − | 0.251740i | ||||
\(929\) | −3.35089 | − | 1.53030i | −0.109939 | − | 0.0502076i | 0.359686 | − | 0.933073i | \(-0.382884\pi\) |
−0.469625 | + | 0.882866i | \(0.655611\pi\) | |||||||
\(930\) | 10.5708 | + | 6.81316i | 0.346631 | + | 0.223412i | ||||
\(931\) | −27.6595 | − | 12.6317i | −0.906505 | − | 0.413987i | ||||
\(932\) | 0.102278 | − | 38.7756i | 0.00335024 | − | 1.27014i | ||||
\(933\) | −0.940684 | + | 6.54260i | −0.0307966 | + | 0.214195i | ||||
\(934\) | −4.63175 | + | 31.9157i | −0.151556 | + | 1.04431i | ||||
\(935\) | 0.206012 | + | 0.320561i | 0.00673731 | + | 0.0104835i | ||||
\(936\) | −1.35864 | − | 9.72250i | −0.0444087 | − | 0.317790i | ||||
\(937\) | − | 40.6729i | − | 1.32873i | −0.747410 | − | 0.664363i | \(-0.768703\pi\) | ||
0.747410 | − | 0.664363i | \(-0.231297\pi\) | |||||||
\(938\) | 8.71848 | − | 5.74096i | 0.284669 | − | 0.187449i | ||||
\(939\) | 9.36817i | 0.305719i | ||||||||
\(940\) | 15.6565 | + | 10.1203i | 0.510659 | + | 0.330087i | ||||
\(941\) | 14.0246 | + | 21.8227i | 0.457188 | + | 0.711399i | 0.990949 | − | 0.134237i | \(-0.0428582\pi\) |
−0.533761 | + | 0.845635i | \(0.679222\pi\) | |||||||
\(942\) | −27.6331 | − | 4.01024i | −0.900334 | − | 0.130661i | ||||
\(943\) | 1.55707 | − | 10.8297i | 0.0507053 | − | 0.352663i | ||||
\(944\) | −3.18575 | − | 0.475209i | −0.103687 | − | 0.0154667i | ||||
\(945\) | −0.774978 | − | 0.353921i | −0.0252100 | − | 0.0115130i | ||||
\(946\) | −2.16860 | + | 3.36465i | −0.0705074 | + | 0.109394i | ||||
\(947\) | 4.34134 | + | 1.98262i | 0.141075 | + | 0.0644266i | 0.484701 | − | 0.874680i | \(-0.338928\pi\) |
−0.343627 | + | 0.939106i | \(0.611656\pi\) | |||||||
\(948\) | −1.14084 | + | 1.30960i | −0.0370528 | + | 0.0425340i | ||||
\(949\) | −53.6364 | − | 7.71175i | −1.74111 | − | 0.250334i | ||||
\(950\) | −11.8256 | − | 25.9852i | −0.383675 | − | 0.843071i | ||||
\(951\) | 22.9080 | + | 6.72641i | 0.742844 | + | 0.218119i | ||||
\(952\) | −1.25057 | + | 4.19753i | −0.0405311 | + | 0.136043i | ||||
\(953\) | 15.9359 | + | 34.8947i | 0.516214 | + | 1.13035i | 0.970853 | + | 0.239676i | \(0.0770411\pi\) |
−0.454639 | + | 0.890676i | \(0.650232\pi\) | |||||||
\(954\) | 5.52795 | − | 3.54230i | 0.178974 | − | 0.114686i | ||||
\(955\) | 9.16985 | + | 7.94572i | 0.296729 | + | 0.257117i | ||||
\(956\) | 31.0511 | − | 19.8398i | 1.00426 | − | 0.641664i | ||||
\(957\) | −0.888721 | − | 1.94603i | −0.0287283 | − | 0.0629061i | ||||
\(958\) | 27.9012 | + | 8.23252i | 0.901447 | + | 0.265981i | ||||
\(959\) | −8.25668 | + | 1.18713i | −0.266622 | + | 0.0383345i | ||||
\(960\) | 4.03576 | + | 6.39039i | 0.130254 | + | 0.206249i | ||||
\(961\) | 48.4551 | − | 31.1402i | 1.56307 | − | 1.00452i | ||||
\(962\) | 46.7626 | + | 0.0616728i | 1.50769 | + | 0.00198841i | ||||
\(963\) | −0.845972 | + | 2.88111i | −0.0272611 | + | 0.0928426i | ||||
\(964\) | −4.72389 | − | 5.48080i | −0.152146 | − | 0.176525i | ||||
\(965\) | 3.68744 | − | 0.530174i | 0.118703 | − | 0.0170669i | ||||
\(966\) | 1.61634 | + | 1.04178i | 0.0520050 | + | 0.0335186i | ||||
\(967\) | 47.2128i | 1.51826i | 0.650937 | + | 0.759131i | \(0.274376\pi\) | ||||
−0.650937 | + | 0.759131i | \(0.725624\pi\) | |||||||
\(968\) | 16.6333 | + | 26.1084i | 0.534613 | + | 0.839156i | ||||
\(969\) | 2.37774 | + | 8.09784i | 0.0763840 | + | 0.260140i | ||||
\(970\) | 5.21955 | − | 0.743433i | 0.167590 | − | 0.0238702i | ||||
\(971\) | 6.25532 | − | 2.85671i | 0.200743 | − | 0.0916762i | −0.312507 | − | 0.949916i | \(-0.601169\pi\) |
0.513250 | + | 0.858239i | \(0.328441\pi\) | |||||||
\(972\) | −1.92047 | + | 0.558401i | −0.0615990 | + | 0.0179107i | ||||
\(973\) | −6.32366 | − | 4.06397i | −0.202727 | − | 0.130285i | ||||
\(974\) | −30.5225 | + | 47.3564i | −0.978003 | + | 1.51740i | ||||
\(975\) | − | 14.2562i | − | 0.456563i | ||||||
\(976\) | 0.305992 | − | 1.02214i | 0.00979458 | − | 0.0327178i | ||||
\(977\) | −33.0381 | + | 9.70087i | −1.05698 | + | 0.310358i | −0.763636 | − | 0.645647i | \(-0.776588\pi\) |
−0.293348 | + | 0.956006i | \(0.594769\pi\) | |||||||
\(978\) | 12.5161 | − | 14.4060i | 0.400222 | − | 0.460652i | ||||
\(979\) | −0.180066 | + | 0.207808i | −0.00575495 | + | 0.00664157i | ||||
\(980\) | 10.6208 | + | 4.88425i | 0.339269 | + | 0.156022i | ||||
\(981\) | 8.30797 | + | 7.19890i | 0.265253 | + | 0.229843i | ||||
\(982\) | 7.45994 | + | 2.20113i | 0.238056 | + | 0.0702408i | ||||
\(983\) | 25.4328 | + | 16.3447i | 0.811181 | + | 0.521315i | 0.879247 | − | 0.476366i | \(-0.158046\pi\) |
−0.0680656 | + | 0.997681i | \(0.521683\pi\) | |||||||
\(984\) | 13.3784 | + | 15.5635i | 0.426487 | + | 0.496145i | ||||
\(985\) | 2.22283 | − | 1.42853i | 0.0708253 | − | 0.0455166i | ||||
\(986\) | 20.1079 | + | 9.21503i | 0.640365 | + | 0.293466i | ||||
\(987\) | −6.72412 | + | 5.82648i | −0.214031 | + | 0.185459i | ||||
\(988\) | −22.2741 | − | 25.8431i | −0.708633 | − | 0.822178i | ||||
\(989\) | −17.9859 | − | 2.58598i | −0.571918 | − | 0.0822295i | ||||
\(990\) | −0.130743 | + | 0.285292i | −0.00415530 | + | 0.00906716i | ||||
\(991\) | 3.89649 | + | 4.49679i | 0.123776 | + | 0.142845i | 0.814255 | − | 0.580507i | \(-0.197146\pi\) |
−0.690479 | + | 0.723352i | \(0.742600\pi\) | |||||||
\(992\) | 52.7531 | − | 7.23002i | 1.67491 | − | 0.229553i | ||||
\(993\) | −21.2077 | − | 6.22714i | −0.673005 | − | 0.197612i | ||||
\(994\) | 0.506039 | − | 0.324269i | 0.0160506 | − | 0.0102852i | ||||
\(995\) | −2.24455 | − | 1.44249i | −0.0711571 | − | 0.0457299i | ||||
\(996\) | −14.8482 | + | 22.9708i | −0.470483 | + | 0.727858i | ||||
\(997\) | 6.92749 | − | 2.03410i | 0.219396 | − | 0.0644205i | −0.170187 | − | 0.985412i | \(-0.554437\pi\) |
0.389583 | + | 0.920991i | \(0.372619\pi\) | |||||||
\(998\) | −6.34185 | − | 21.7042i | −0.200748 | − | 0.687035i | ||||
\(999\) | −1.35582 | − | 9.42992i | −0.0428962 | − | 0.298350i |
(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 | 804.2.u.b.43.14 | yes | 340 | |
4.3 | odd | 2 | 804.2.u.a.43.4 | ✓ | 340 | ||
67.53 | odd | 22 | 804.2.u.a.187.4 | yes | 340 | ||
268.187 | even | 22 | inner | 804.2.u.b.187.14 | yes | 340 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
804.2.u.a.43.4 | ✓ | 340 | 4.3 | odd | 2 | ||
804.2.u.a.187.4 | yes | 340 | 67.53 | odd | 22 | ||
804.2.u.b.43.14 | yes | 340 | 1.1 | even | 1 | trivial | |
804.2.u.b.187.14 | yes | 340 | 268.187 | even | 22 | inner |