Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [300,2,Mod(11,300)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(300, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([5, 5, 8]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("300.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 300 = 2^{2} \cdot 3 \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 300.n (of order \(10\), degree \(4\), 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: | \(2.39551206064\) |
Analytic rank: | \(0\) |
Dimension: | \(224\) |
Relative dimension: | \(56\) over \(\Q(\zeta_{10})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 131.11 | ||
Character | \(\chi\) | \(=\) | 300.131 |
Dual form | 300.2.n.a.71.11 |
$q$-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 \(\left(\mathbb{Z}/300\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(151\) | \(277\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(e\left(\frac{2}{5}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.15384 | − | 0.817712i | −0.815888 | − | 0.578210i | ||||
\(3\) | 1.49131 | − | 0.880902i | 0.861009 | − | 0.508589i | ||||
\(4\) | 0.662694 | + | 1.88702i | 0.331347 | + | 0.943509i | ||||
\(5\) | 2.23369 | + | 0.103117i | 0.998936 | + | 0.0461153i | ||||
\(6\) | −2.44106 | − | 0.203044i | −0.996559 | − | 0.0828923i | ||||
\(7\) | 3.19985i | 1.20943i | 0.796443 | + | 0.604714i | \(0.206713\pi\) | ||||
−0.796443 | + | 0.604714i | \(0.793287\pi\) | |||||||
\(8\) | 0.778395 | − | 2.71921i | 0.275204 | − | 0.961386i | ||||
\(9\) | 1.44802 | − | 2.62740i | 0.482674 | − | 0.875800i | ||||
\(10\) | −2.49300 | − | 1.94550i | −0.788356 | − | 0.615220i | ||||
\(11\) | 1.39100 | + | 4.28104i | 0.419401 | + | 1.29078i | 0.908255 | + | 0.418417i | \(0.137415\pi\) |
−0.488854 | + | 0.872366i | \(0.662585\pi\) | |||||||
\(12\) | 2.65056 | + | 2.23036i | 0.765151 | + | 0.643851i | ||||
\(13\) | −0.224488 | + | 0.690904i | −0.0622618 | + | 0.191622i | −0.977349 | − | 0.211634i | \(-0.932122\pi\) |
0.915087 | + | 0.403256i | \(0.132122\pi\) | |||||||
\(14\) | 2.61655 | − | 3.69211i | 0.699303 | − | 0.986758i | ||||
\(15\) | 3.42196 | − | 1.81388i | 0.883547 | − | 0.468342i | ||||
\(16\) | −3.12167 | + | 2.50103i | −0.780418 | + | 0.625258i | ||||
\(17\) | 0.0729746 | − | 0.100441i | 0.0176989 | − | 0.0243605i | −0.800076 | − | 0.599899i | \(-0.795207\pi\) |
0.817775 | + | 0.575538i | \(0.195207\pi\) | |||||||
\(18\) | −3.81924 | + | 1.84753i | −0.900204 | + | 0.435468i | ||||
\(19\) | −3.06942 | + | 4.22470i | −0.704174 | + | 0.969212i | 0.295729 | + | 0.955272i | \(0.404437\pi\) |
−0.999903 | + | 0.0139400i | \(0.995563\pi\) | |||||||
\(20\) | 1.28567 | + | 4.28335i | 0.287484 | + | 0.957785i | ||||
\(21\) | 2.81875 | + | 4.77197i | 0.615102 | + | 1.04133i | ||||
\(22\) | 1.89567 | − | 6.07707i | 0.404159 | − | 1.29564i | ||||
\(23\) | −2.70974 | − | 8.33972i | −0.565020 | − | 1.73895i | −0.667893 | − | 0.744257i | \(-0.732804\pi\) |
0.102873 | − | 0.994694i | \(-0.467196\pi\) | |||||||
\(24\) | −1.23453 | − | 4.74088i | −0.251997 | − | 0.967728i | ||||
\(25\) | 4.97873 | + | 0.460663i | 0.995747 | + | 0.0921325i | ||||
\(26\) | 0.823984 | − | 0.613626i | 0.161597 | − | 0.120342i | ||||
\(27\) | −0.155027 | − | 5.19384i | −0.0298350 | − | 0.999555i | ||||
\(28\) | −6.03817 | + | 2.12052i | −1.14111 | + | 0.400740i | ||||
\(29\) | −4.44953 | − | 6.12425i | −0.826257 | − | 1.13725i | −0.988608 | − | 0.150512i | \(-0.951908\pi\) |
0.162351 | − | 0.986733i | \(-0.448092\pi\) | |||||||
\(30\) | −5.43163 | − | 0.705252i | −0.991676 | − | 0.128761i | ||||
\(31\) | −0.154824 | + | 0.213097i | −0.0278073 | + | 0.0382734i | −0.822694 | − | 0.568484i | \(-0.807530\pi\) |
0.794887 | + | 0.606757i | \(0.207530\pi\) | |||||||
\(32\) | 5.64704 | − | 0.333158i | 0.998264 | − | 0.0588946i | ||||
\(33\) | 5.84559 | + | 5.15904i | 1.01759 | + | 0.898074i | ||||
\(34\) | −0.166333 | + | 0.0562205i | −0.0285258 | + | 0.00964174i | ||||
\(35\) | −0.329959 | + | 7.14746i | −0.0557732 | + | 1.20814i | ||||
\(36\) | 5.91755 | + | 0.991284i | 0.986258 | + | 0.165214i | ||||
\(37\) | 2.93242 | − | 9.02505i | 0.482086 | − | 1.48371i | −0.354071 | − | 0.935219i | \(-0.615203\pi\) |
0.836157 | − | 0.548490i | \(-0.184797\pi\) | |||||||
\(38\) | 6.99621 | − | 2.36472i | 1.13493 | − | 0.383608i | ||||
\(39\) | 0.273836 | + | 1.22811i | 0.0438489 | + | 0.196654i | ||||
\(40\) | 2.01909 | − | 5.99360i | 0.319246 | − | 0.947672i | ||||
\(41\) | −2.55180 | − | 0.829129i | −0.398524 | − | 0.129488i | 0.102897 | − | 0.994692i | \(-0.467189\pi\) |
−0.501420 | + | 0.865204i | \(0.667189\pi\) | |||||||
\(42\) | 0.649709 | − | 7.81102i | 0.100252 | − | 1.20527i | ||||
\(43\) | − | 6.07918i | − | 0.927066i | −0.886080 | − | 0.463533i | \(-0.846582\pi\) | ||
0.886080 | − | 0.463533i | \(-0.153418\pi\) | |||||||
\(44\) | −7.15660 | + | 5.46185i | −1.07890 | + | 0.823405i | ||||
\(45\) | 3.50536 | − | 5.71948i | 0.522549 | − | 0.852609i | ||||
\(46\) | −3.69288 | + | 11.8385i | −0.544486 | + | 1.74549i | ||||
\(47\) | −1.43095 | + | 1.03965i | −0.208726 | + | 0.151648i | −0.687237 | − | 0.726433i | \(-0.741177\pi\) |
0.478511 | + | 0.878082i | \(0.341177\pi\) | |||||||
\(48\) | −2.45223 | + | 6.47971i | −0.353949 | + | 0.935265i | ||||
\(49\) | −3.23901 | −0.462716 | ||||||||
\(50\) | −5.36797 | − | 4.60270i | −0.759146 | − | 0.650920i | ||||
\(51\) | 0.0203493 | − | 0.214072i | 0.00284947 | − | 0.0299761i | ||||
\(52\) | −1.45251 | + | 0.0342442i | −0.201428 | + | 0.00474882i | ||||
\(53\) | −3.63159 | − | 4.99846i | −0.498837 | − | 0.686591i | 0.483150 | − | 0.875538i | \(-0.339493\pi\) |
−0.981987 | + | 0.188947i | \(0.939493\pi\) | |||||||
\(54\) | −4.06819 | + | 6.11963i | −0.553610 | + | 0.832776i | ||||
\(55\) | 2.66560 | + | 9.70595i | 0.359430 | + | 1.30875i | ||||
\(56\) | 8.70105 | + | 2.49074i | 1.16273 | + | 0.332840i | ||||
\(57\) | −0.855922 | + | 9.00420i | −0.113370 | + | 1.19264i | ||||
\(58\) | 0.126170 | + | 10.7048i | 0.0165670 | + | 1.40561i | ||||
\(59\) | 0.148882 | − | 0.458211i | 0.0193828 | − | 0.0596540i | −0.940897 | − | 0.338692i | \(-0.890016\pi\) |
0.960280 | + | 0.279038i | \(0.0900155\pi\) | |||||||
\(60\) | 5.69054 | + | 5.25526i | 0.734646 | + | 0.678451i | ||||
\(61\) | 1.16101 | + | 3.57322i | 0.148652 | + | 0.457504i | 0.997463 | − | 0.0711932i | \(-0.0226807\pi\) |
−0.848810 | + | 0.528697i | \(0.822681\pi\) | |||||||
\(62\) | 0.352895 | − | 0.119279i | 0.0448177 | − | 0.0151484i | ||||
\(63\) | 8.40727 | + | 4.63345i | 1.05922 | + | 0.583760i | ||||
\(64\) | −6.78820 | − | 4.23324i | −0.848525 | − | 0.529155i | ||||
\(65\) | −0.572681 | + | 1.52012i | −0.0710323 | + | 0.188547i | ||||
\(66\) | −2.52626 | − | 10.7327i | −0.310961 | − | 1.32111i | ||||
\(67\) | −2.89530 | + | 3.98504i | −0.353718 | + | 0.486851i | −0.948385 | − | 0.317121i | \(-0.897284\pi\) |
0.594667 | + | 0.803972i | \(0.297284\pi\) | |||||||
\(68\) | 0.237893 | + | 0.0711428i | 0.0288488 | + | 0.00862733i | ||||
\(69\) | −11.3875 | − | 10.0501i | −1.37090 | − | 1.20989i | ||||
\(70\) | 6.22528 | − | 7.97722i | 0.744064 | − | 0.953460i | ||||
\(71\) | −7.54150 | + | 5.47922i | −0.895011 | + | 0.650264i | −0.937180 | − | 0.348847i | \(-0.886573\pi\) |
0.0421685 | + | 0.999111i | \(0.486573\pi\) | |||||||
\(72\) | −6.01732 | − | 5.98263i | −0.709148 | − | 0.705060i | ||||
\(73\) | 3.40623 | + | 10.4833i | 0.398669 | + | 1.22698i | 0.926067 | + | 0.377358i | \(0.123167\pi\) |
−0.527399 | + | 0.849618i | \(0.676833\pi\) | |||||||
\(74\) | −10.7634 | + | 8.01559i | −1.25122 | + | 0.931794i | ||||
\(75\) | 7.83064 | − | 3.69879i | 0.904205 | − | 0.427099i | ||||
\(76\) | −10.0062 | − | 2.99237i | −1.14779 | − | 0.343249i | ||||
\(77\) | −13.6987 | + | 4.45097i | −1.56111 | + | 0.507235i | ||||
\(78\) | 0.688273 | − | 1.64096i | 0.0779316 | − | 0.185802i | ||||
\(79\) | −3.77224 | − | 5.19204i | −0.424410 | − | 0.584150i | 0.542249 | − | 0.840218i | \(-0.317573\pi\) |
−0.966659 | + | 0.256068i | \(0.917573\pi\) | |||||||
\(80\) | −7.23075 | + | 5.26463i | −0.808422 | + | 0.588603i | ||||
\(81\) | −4.80646 | − | 7.60907i | −0.534051 | − | 0.845452i | ||||
\(82\) | 2.26638 | + | 3.04332i | 0.250279 | + | 0.336078i | ||||
\(83\) | 4.31493 | + | 3.13498i | 0.473625 | + | 0.344108i | 0.798852 | − | 0.601527i | \(-0.205441\pi\) |
−0.325228 | + | 0.945636i | \(0.605441\pi\) | |||||||
\(84\) | −7.13682 | + | 8.48139i | −0.778691 | + | 0.925395i | ||||
\(85\) | 0.173360 | − | 0.216829i | 0.0188035 | − | 0.0235184i | ||||
\(86\) | −4.97102 | + | 7.01440i | −0.536039 | + | 0.756382i | ||||
\(87\) | −12.0305 | − | 5.21357i | −1.28981 | − | 0.558954i | ||||
\(88\) | 12.7238 | − | 0.450065i | 1.35636 | − | 0.0479771i | ||||
\(89\) | 9.37595 | − | 3.04643i | 0.993849 | − | 0.322921i | 0.233444 | − | 0.972370i | \(-0.425000\pi\) |
0.760405 | + | 0.649449i | \(0.225000\pi\) | |||||||
\(90\) | −8.72151 | + | 3.73299i | −0.919328 | + | 0.393491i | ||||
\(91\) | −2.21079 | − | 0.718328i | −0.231753 | − | 0.0753012i | ||||
\(92\) | 13.9415 | − | 10.6400i | 1.45350 | − | 1.10930i | ||||
\(93\) | −0.0431734 | + | 0.454180i | −0.00447687 | + | 0.0470962i | ||||
\(94\) | 2.50123 | − | 0.0294801i | 0.257982 | − | 0.00304064i | ||||
\(95\) | −7.29177 | + | 9.12015i | −0.748120 | + | 0.935707i | ||||
\(96\) | 8.12801 | − | 5.47133i | 0.829562 | − | 0.558415i | ||||
\(97\) | −4.65810 | + | 3.38431i | −0.472958 | + | 0.343624i | −0.798593 | − | 0.601871i | \(-0.794422\pi\) |
0.325635 | + | 0.945496i | \(0.394422\pi\) | |||||||
\(98\) | 3.73730 | + | 2.64858i | 0.377525 | + | 0.267547i | ||||
\(99\) | 13.2622 | + | 2.54435i | 1.33290 | + | 0.255717i | ||||
\(100\) | 2.43010 | + | 9.70024i | 0.243010 | + | 0.970024i | ||||
\(101\) | 16.7129i | 1.66300i | 0.555526 | + | 0.831499i | \(0.312517\pi\) | ||||
−0.555526 | + | 0.831499i | \(0.687483\pi\) | |||||||
\(102\) | −0.198529 | + | 0.230365i | −0.0196573 | + | 0.0228095i | ||||
\(103\) | −0.504140 | − | 0.693889i | −0.0496744 | − | 0.0683709i | 0.783457 | − | 0.621446i | \(-0.213454\pi\) |
−0.833132 | + | 0.553075i | \(0.813454\pi\) | |||||||
\(104\) | 1.70397 | + | 1.14823i | 0.167088 | + | 0.112593i | ||||
\(105\) | 5.80414 | + | 10.9498i | 0.566426 | + | 1.06859i | ||||
\(106\) | 0.102977 | + | 8.73702i | 0.0100020 | + | 0.848614i | ||||
\(107\) | 6.29340 | 0.608406 | 0.304203 | − | 0.952607i | \(-0.401610\pi\) | ||||
0.304203 | + | 0.952607i | \(0.401610\pi\) | |||||||
\(108\) | 9.69813 | − | 3.73446i | 0.933203 | − | 0.359349i | ||||
\(109\) | −0.822746 | + | 2.53215i | −0.0788048 | + | 0.242536i | −0.982696 | − | 0.185226i | \(-0.940698\pi\) |
0.903891 | + | 0.427763i | \(0.140698\pi\) | |||||||
\(110\) | 4.86100 | − | 13.3788i | 0.463478 | − | 1.27562i | ||||
\(111\) | −3.57704 | − | 16.0423i | −0.339517 | − | 1.52267i | ||||
\(112\) | −8.00291 | − | 9.98888i | −0.756204 | − | 0.943860i | ||||
\(113\) | −14.1393 | − | 4.59414i | −1.33011 | − | 0.432180i | −0.444157 | − | 0.895949i | \(-0.646497\pi\) |
−0.885956 | + | 0.463769i | \(0.846497\pi\) | |||||||
\(114\) | 8.35044 | − | 9.68951i | 0.782090 | − | 0.907506i | ||||
\(115\) | −5.19275 | − | 18.9078i | −0.484226 | − | 1.76316i | ||||
\(116\) | 8.60790 | − | 12.4548i | 0.799223 | − | 1.15640i | ||||
\(117\) | 1.49022 | + | 1.59026i | 0.137771 | + | 0.147020i | ||||
\(118\) | −0.546470 | + | 0.406960i | −0.0503067 | + | 0.0374637i | ||||
\(119\) | 0.321395 | + | 0.233507i | 0.0294623 | + | 0.0214056i | ||||
\(120\) | −2.26869 | − | 10.7170i | −0.207102 | − | 0.978319i | ||||
\(121\) | −7.49327 | + | 5.44418i | −0.681206 | + | 0.494925i | ||||
\(122\) | 1.58225 | − | 5.07230i | 0.143250 | − | 0.459224i | ||||
\(123\) | −4.53591 | + | 1.01139i | −0.408989 | + | 0.0911942i | ||||
\(124\) | −0.504719 | − | 0.150938i | −0.0453251 | − | 0.0135546i | ||||
\(125\) | 11.0734 | + | 1.54237i | 0.990439 | + | 0.137954i | ||||
\(126\) | −5.91182 | − | 12.2210i | −0.526667 | − | 1.08873i | ||||
\(127\) | 13.2943 | − | 4.31959i | 1.17968 | − | 0.383301i | 0.347432 | − | 0.937705i | \(-0.387054\pi\) |
0.832248 | + | 0.554404i | \(0.187054\pi\) | |||||||
\(128\) | 4.37093 | + | 10.4353i | 0.386339 | + | 0.922357i | ||||
\(129\) | −5.35516 | − | 9.06595i | −0.471496 | − | 0.798213i | ||||
\(130\) | 1.90380 | − | 1.28568i | 0.166974 | − | 0.112762i | ||||
\(131\) | −2.46905 | − | 1.79387i | −0.215722 | − | 0.156731i | 0.474677 | − | 0.880160i | \(-0.342565\pi\) |
−0.690399 | + | 0.723429i | \(0.742565\pi\) | |||||||
\(132\) | −5.86137 | + | 14.4496i | −0.510167 | + | 1.25768i | ||||
\(133\) | −13.5184 | − | 9.82168i | −1.17219 | − | 0.851647i | ||||
\(134\) | 6.59934 | − | 2.23058i | 0.570096 | − | 0.192693i | ||||
\(135\) | 0.189290 | − | 11.6174i | 0.0162915 | − | 0.999867i | ||||
\(136\) | −0.216317 | − | 0.276616i | −0.0185490 | − | 0.0237196i | ||||
\(137\) | 8.03317 | + | 2.61013i | 0.686320 | + | 0.222999i | 0.631360 | − | 0.775490i | \(-0.282497\pi\) |
0.0549597 | + | 0.998489i | \(0.482497\pi\) | |||||||
\(138\) | 4.92131 | + | 20.9080i | 0.418929 | + | 1.77980i | ||||
\(139\) | 12.1373 | − | 3.94364i | 1.02947 | − | 0.334496i | 0.254890 | − | 0.966970i | \(-0.417961\pi\) |
0.774581 | + | 0.632474i | \(0.217961\pi\) | |||||||
\(140\) | −13.7060 | + | 4.11394i | −1.15837 | + | 0.347691i | ||||
\(141\) | −1.21817 | + | 2.81097i | −0.102588 | + | 0.236726i | ||||
\(142\) | 13.1821 | − | 0.155368i | 1.10622 | − | 0.0130382i | ||||
\(143\) | −3.27005 | −0.273455 | ||||||||
\(144\) | 2.05095 | + | 11.8234i | 0.170912 | + | 0.985286i | ||||
\(145\) | −9.30735 | − | 14.1385i | −0.772934 | − | 1.17414i | ||||
\(146\) | 4.64207 | − | 14.8814i | 0.384181 | − | 1.23159i | ||||
\(147\) | −4.83038 | + | 2.85325i | −0.398403 | + | 0.235332i | ||||
\(148\) | 18.9737 | − | 0.447321i | 1.55963 | − | 0.0367696i | ||||
\(149\) | 6.69769i | 0.548696i | 0.961631 | + | 0.274348i | \(0.0884620\pi\) | ||||
−0.961631 | + | 0.274348i | \(0.911538\pi\) | |||||||
\(150\) | −12.0599 | − | 2.13541i | −0.984683 | − | 0.174355i | ||||
\(151\) | − | 9.05550i | − | 0.736926i | −0.929642 | − | 0.368463i | \(-0.879884\pi\) | ||
0.929642 | − | 0.368463i | \(-0.120116\pi\) | |||||||
\(152\) | 9.09861 | + | 11.6349i | 0.737995 | + | 0.943714i | ||||
\(153\) | −0.158229 | − | 0.337174i | −0.0127921 | − | 0.0272589i | ||||
\(154\) | 19.4457 | + | 6.06587i | 1.56698 | + | 0.488801i | ||||
\(155\) | −0.367803 | + | 0.460028i | −0.0295427 | + | 0.0369503i | ||||
\(156\) | −2.13599 | + | 1.33059i | −0.171016 | + | 0.106533i | ||||
\(157\) | 2.53598 | 0.202393 | 0.101197 | − | 0.994866i | \(-0.467733\pi\) | ||||
0.101197 | + | 0.994866i | \(0.467733\pi\) | |||||||
\(158\) | 0.106965 | + | 9.07538i | 0.00850968 | + | 0.721999i | ||||
\(159\) | −9.81899 | − | 4.25518i | −0.778696 | − | 0.337458i | ||||
\(160\) | 12.6481 | − | 0.161866i | 0.999918 | − | 0.0127966i | ||||
\(161\) | 26.6858 | − | 8.67075i | 2.10314 | − | 0.683351i | ||||
\(162\) | −0.676146 | + | 12.7099i | −0.0531230 | + | 0.998588i | ||||
\(163\) | −4.70483 | − | 1.52869i | −0.368511 | − | 0.119736i | 0.118907 | − | 0.992905i | \(-0.462061\pi\) |
−0.487418 | + | 0.873169i | \(0.662061\pi\) | |||||||
\(164\) | −0.126478 | − | 5.36475i | −0.00987630 | − | 0.418916i | ||||
\(165\) | 12.5252 | + | 12.1265i | 0.975088 | + | 0.944044i | ||||
\(166\) | −2.41523 | − | 7.14563i | −0.187458 | − | 0.554608i | ||||
\(167\) | −12.9455 | − | 9.40546i | −1.00175 | − | 0.727816i | −0.0392897 | − | 0.999228i | \(-0.512510\pi\) |
−0.962463 | + | 0.271412i | \(0.912510\pi\) | |||||||
\(168\) | 15.1701 | − | 3.95030i | 1.17040 | − | 0.304772i | ||||
\(169\) | 10.0903 | + | 7.33101i | 0.776174 | + | 0.563924i | ||||
\(170\) | −0.377333 | + | 0.108427i | −0.0289401 | + | 0.00831600i | ||||
\(171\) | 6.65537 | + | 14.1821i | 0.508949 | + | 1.08453i | ||||
\(172\) | 11.4715 | − | 4.02863i | 0.874695 | − | 0.307180i | ||||
\(173\) | −1.29345 | + | 0.420267i | −0.0983390 | + | 0.0319523i | −0.357773 | − | 0.933808i | \(-0.616464\pi\) |
0.259434 | + | 0.965761i | \(0.416464\pi\) | |||||||
\(174\) | 9.61808 | + | 15.8531i | 0.729145 | + | 1.20182i | ||||
\(175\) | −1.47405 | + | 15.9312i | −0.111428 | + | 1.20428i | ||||
\(176\) | −15.0492 | − | 9.88510i | −1.13438 | − | 0.745117i | ||||
\(177\) | −0.181610 | − | 0.814486i | −0.0136506 | − | 0.0612205i | ||||
\(178\) | −13.3095 | − | 4.15174i | −0.997586 | − | 0.311186i | ||||
\(179\) | 2.09279 | − | 1.52050i | 0.156423 | − | 0.113648i | −0.506821 | − | 0.862051i | \(-0.669179\pi\) |
0.663243 | + | 0.748404i | \(0.269179\pi\) | |||||||
\(180\) | 13.1157 | + | 2.82442i | 0.977590 | + | 0.210520i | ||||
\(181\) | 5.49246 | + | 3.99050i | 0.408251 | + | 0.296612i | 0.772893 | − | 0.634536i | \(-0.218809\pi\) |
−0.364642 | + | 0.931148i | \(0.618809\pi\) | |||||||
\(182\) | 1.96351 | + | 2.63662i | 0.145545 | + | 0.195439i | ||||
\(183\) | 4.87909 | + | 4.30605i | 0.360672 | + | 0.318312i | ||||
\(184\) | −24.7867 | + | 0.876753i | −1.82730 | + | 0.0646351i | ||||
\(185\) | 7.48074 | − | 19.8568i | 0.549995 | − | 1.45990i | ||||
\(186\) | 0.421203 | − | 0.488747i | 0.0308841 | − | 0.0358367i | ||||
\(187\) | 0.531499 | + | 0.172694i | 0.0388670 | + | 0.0126287i | ||||
\(188\) | −2.91012 | − | 2.01127i | −0.212242 | − | 0.146687i | ||||
\(189\) | 16.6195 | − | 0.496064i | 1.20889 | − | 0.0360833i | ||||
\(190\) | 15.8712 | − | 4.56062i | 1.15142 | − | 0.330862i | ||||
\(191\) | −6.87204 | + | 21.1500i | −0.497244 | + | 1.53036i | 0.316187 | + | 0.948697i | \(0.397597\pi\) |
−0.813431 | + | 0.581662i | \(0.802403\pi\) | |||||||
\(192\) | −13.8524 | − | 0.333337i | −0.999711 | − | 0.0240565i | ||||
\(193\) | −15.5081 | −1.11630 | −0.558150 | − | 0.829740i | \(-0.688489\pi\) | ||||
−0.558150 | + | 0.829740i | \(0.688489\pi\) | |||||||
\(194\) | 8.14209 | − | 0.0959649i | 0.584568 | − | 0.00688988i | ||||
\(195\) | 0.485027 | + | 2.77144i | 0.0347335 | + | 0.198467i | ||||
\(196\) | −2.14647 | − | 6.11208i | −0.153320 | − | 0.436577i | ||||
\(197\) | −8.04491 | − | 11.0729i | −0.573176 | − | 0.788910i | 0.419750 | − | 0.907640i | \(-0.362118\pi\) |
−0.992927 | + | 0.118730i | \(0.962118\pi\) | |||||||
\(198\) | −13.2219 | − | 13.7804i | −0.939641 | − | 0.979333i | ||||
\(199\) | 0.869554i | 0.0616411i | 0.999525 | + | 0.0308205i | \(0.00981203\pi\) | ||||
−0.999525 | + | 0.0308205i | \(0.990188\pi\) | |||||||
\(200\) | 5.12806 | − | 13.1796i | 0.362609 | − | 0.931942i | ||||
\(201\) | −0.807368 | + | 8.49342i | −0.0569473 | + | 0.599080i | ||||
\(202\) | 13.6664 | − | 19.2840i | 0.961562 | − | 1.35682i | ||||
\(203\) | 19.5967 | − | 14.2378i | 1.37542 | − | 0.999298i | ||||
\(204\) | 0.417443 | − | 0.103465i | 0.0292269 | − | 0.00724398i | ||||
\(205\) | −5.61442 | − | 2.11515i | −0.392128 | − | 0.147728i | ||||
\(206\) | 0.0142953 | + | 1.21288i | 0.000996003 | + | 0.0845053i | ||||
\(207\) | −25.8355 | − | 4.95654i | −1.79569 | − | 0.344503i | ||||
\(208\) | −1.02719 | − | 2.71823i | −0.0712229 | − | 0.188475i | ||||
\(209\) | −22.3557 | − | 7.26379i | −1.54637 | − | 0.502447i | ||||
\(210\) | 2.25670 | − | 17.3804i | 0.155727 | − | 1.19936i | ||||
\(211\) | 5.77320 | − | 1.87583i | 0.397444 | − | 0.129137i | −0.103474 | − | 0.994632i | \(-0.532996\pi\) |
0.500918 | + | 0.865495i | \(0.332996\pi\) | |||||||
\(212\) | 7.02555 | − | 10.1653i | 0.482516 | − | 0.698157i | ||||
\(213\) | −6.42007 | + | 14.8145i | −0.439896 | + | 1.01508i | ||||
\(214\) | −7.26157 | − | 5.14619i | −0.496391 | − | 0.351786i | ||||
\(215\) | 0.626867 | − | 13.5790i | 0.0427520 | − | 0.926080i | ||||
\(216\) | −14.2438 | − | 3.62131i | −0.969169 | − | 0.246399i | ||||
\(217\) | −0.681878 | − | 0.495414i | −0.0462889 | − | 0.0336309i | ||||
\(218\) | 3.01989 | − | 2.24893i | 0.204533 | − | 0.152317i | ||||
\(219\) | 14.3145 | + | 12.6333i | 0.967284 | + | 0.853679i | ||||
\(220\) | −16.5488 | + | 11.4621i | −1.11572 | + | 0.772776i | ||||
\(221\) | 0.0530130 | + | 0.0729662i | 0.00356604 | + | 0.00490824i | ||||
\(222\) | −8.99069 | + | 21.4353i | −0.603415 | + | 1.43864i | ||||
\(223\) | −19.5845 | + | 6.36338i | −1.31147 | + | 0.426124i | −0.879559 | − | 0.475790i | \(-0.842162\pi\) |
−0.431915 | + | 0.901914i | \(0.642162\pi\) | |||||||
\(224\) | 1.06605 | + | 18.0696i | 0.0712287 | + | 1.20733i | ||||
\(225\) | 8.41967 | − | 12.4141i | 0.561311 | − | 0.827605i | ||||
\(226\) | 12.5578 | + | 16.8628i | 0.835333 | + | 1.12170i | ||||
\(227\) | 2.21402 | + | 6.81405i | 0.146950 | + | 0.452264i | 0.997257 | − | 0.0740228i | \(-0.0235838\pi\) |
−0.850307 | + | 0.526287i | \(0.823584\pi\) | |||||||
\(228\) | −17.5583 | + | 4.35189i | −1.16283 | + | 0.288211i | ||||
\(229\) | −7.28226 | + | 5.29087i | −0.481225 | + | 0.349630i | −0.801800 | − | 0.597593i | \(-0.796124\pi\) |
0.320575 | + | 0.947223i | \(0.396124\pi\) | |||||||
\(230\) | −9.46950 | + | 26.0627i | −0.624401 | + | 1.71852i | ||||
\(231\) | −16.5081 | + | 18.7050i | −1.08616 | + | 1.23070i | ||||
\(232\) | −20.1166 | + | 7.33212i | −1.32072 | + | 0.481377i | ||||
\(233\) | −10.8431 | + | 14.9243i | −0.710357 | + | 0.977722i | 0.289433 | + | 0.957198i | \(0.406533\pi\) |
−0.999789 | + | 0.0205238i | \(0.993467\pi\) | |||||||
\(234\) | −0.419092 | − | 3.05348i | −0.0273969 | − | 0.199612i | ||||
\(235\) | −3.30351 | + | 2.17470i | −0.215497 | + | 0.141862i | ||||
\(236\) | 0.963315 | − | 0.0227110i | 0.0627065 | − | 0.00147836i | ||||
\(237\) | −10.1993 | − | 4.41998i | −0.662513 | − | 0.287108i | ||||
\(238\) | −0.179897 | − | 0.532239i | −0.0116610 | − | 0.0344999i | ||||
\(239\) | −3.81935 | − | 11.7548i | −0.247054 | − | 0.760353i | −0.995292 | − | 0.0969226i | \(-0.969100\pi\) |
0.748238 | − | 0.663430i | \(-0.230900\pi\) | |||||||
\(240\) | −6.14568 | + | 14.2208i | −0.396702 | + | 0.917947i | ||||
\(241\) | 3.13012 | − | 9.63351i | 0.201629 | − | 0.620549i | −0.798206 | − | 0.602384i | \(-0.794218\pi\) |
0.999835 | − | 0.0181650i | \(-0.00578243\pi\) | |||||||
\(242\) | 13.0978 | − | 0.154374i | 0.841959 | − | 0.00992356i | ||||
\(243\) | −13.8708 | − | 7.11348i | −0.889811 | − | 0.456330i | ||||
\(244\) | −5.97334 | + | 4.55880i | −0.382404 | + | 0.291847i | ||||
\(245\) | −7.23495 | − | 0.333997i | −0.462224 | − | 0.0213383i | ||||
\(246\) | 6.06074 | + | 2.54208i | 0.386419 | + | 0.162077i | ||||
\(247\) | −2.22981 | − | 3.06907i | −0.141879 | − | 0.195280i | ||||
\(248\) | 0.458942 | + | 0.586873i | 0.0291428 | + | 0.0372665i | ||||
\(249\) | 9.19651 | + | 0.874202i | 0.582805 | + | 0.0554003i | ||||
\(250\) | −11.5158 | − | 10.8345i | −0.728321 | − | 0.685236i | ||||
\(251\) | 11.1839 | 0.705921 | 0.352960 | − | 0.935638i | \(-0.385175\pi\) | ||||
0.352960 | + | 0.935638i | \(0.385175\pi\) | |||||||
\(252\) | −3.17196 | + | 18.9352i | −0.199815 | + | 1.19281i | ||||
\(253\) | 31.9335 | − | 23.2010i | 2.00764 | − | 1.45864i | ||||
\(254\) | −18.8717 | − | 5.88682i | −1.18412 | − | 0.369372i | ||||
\(255\) | 0.0675284 | − | 0.476072i | 0.00422879 | − | 0.0298128i | ||||
\(256\) | 3.48970 | − | 15.6148i | 0.218106 | − | 0.975925i | ||||
\(257\) | 17.1718i | 1.07115i | 0.844488 | + | 0.535574i | \(0.179905\pi\) | ||||
−0.844488 | + | 0.535574i | \(0.820095\pi\) | |||||||
\(258\) | −1.23434 | + | 14.8396i | −0.0768467 | + | 0.923876i | ||||
\(259\) | 28.8788 | + | 9.38328i | 1.79444 | + | 0.583049i | ||||
\(260\) | −3.24800 | − | 0.0732880i | −0.201432 | − | 0.00454513i | ||||
\(261\) | −22.5339 | + | 2.82263i | −1.39481 | + | 0.174717i | ||||
\(262\) | 1.38202 | + | 4.08881i | 0.0853814 | + | 0.252607i | ||||
\(263\) | 3.36546 | − | 10.3578i | 0.207523 | − | 0.638691i | −0.792077 | − | 0.610421i | \(-0.791000\pi\) |
0.999600 | − | 0.0282698i | \(-0.00899976\pi\) | |||||||
\(264\) | 18.5787 | − | 11.8796i | 1.14344 | − | 0.731139i | ||||
\(265\) | −7.59642 | − | 11.5395i | −0.466644 | − | 0.708865i | ||||
\(266\) | 7.56674 | + | 22.3868i | 0.463947 | + | 1.37262i | ||||
\(267\) | 11.2989 | − | 12.8025i | 0.691479 | − | 0.783499i | ||||
\(268\) | −9.43855 | − | 2.82263i | −0.576551 | − | 0.172419i | ||||
\(269\) | 4.89920 | − | 6.74316i | 0.298709 | − | 0.411138i | −0.633109 | − | 0.774062i | \(-0.718222\pi\) |
0.931819 | + | 0.362924i | \(0.118222\pi\) | |||||||
\(270\) | −9.71811 | + | 13.2498i | −0.591425 | + | 0.806360i | ||||
\(271\) | −2.27947 | − | 3.13742i | −0.138468 | − | 0.190585i | 0.734151 | − | 0.678986i | \(-0.237580\pi\) |
−0.872619 | + | 0.488401i | \(0.837580\pi\) | |||||||
\(272\) | 0.0234028 | + | 0.496055i | 0.00141901 | + | 0.0300778i | ||||
\(273\) | −3.92975 | + | 0.876235i | −0.237839 | + | 0.0530321i | ||||
\(274\) | −7.13465 | − | 9.58050i | −0.431020 | − | 0.578779i | ||||
\(275\) | 4.95328 | + | 21.9550i | 0.298694 | + | 1.32393i | ||||
\(276\) | 11.4183 | − | 28.1486i | 0.687300 | − | 1.69435i | ||||
\(277\) | 6.80802 | + | 20.9529i | 0.409054 | + | 1.25894i | 0.917462 | + | 0.397823i | \(0.130234\pi\) |
−0.508408 | + | 0.861116i | \(0.669766\pi\) | |||||||
\(278\) | −17.2293 | − | 5.37447i | −1.03334 | − | 0.322340i | ||||
\(279\) | 0.335703 | + | 0.715355i | 0.0200980 | + | 0.0428272i | ||||
\(280\) | 19.1786 | + | 6.46077i | 1.14614 | + | 0.386105i | ||||
\(281\) | −7.62089 | + | 10.4893i | −0.454624 | + | 0.625736i | −0.973383 | − | 0.229184i | \(-0.926394\pi\) |
0.518759 | + | 0.854920i | \(0.326394\pi\) | |||||||
\(282\) | 3.70414 | − | 2.24730i | 0.220578 | − | 0.133825i | ||||
\(283\) | 2.12190 | − | 2.92054i | 0.126134 | − | 0.173608i | −0.741280 | − | 0.671196i | \(-0.765781\pi\) |
0.867413 | + | 0.497588i | \(0.165781\pi\) | |||||||
\(284\) | −15.3371 | − | 10.5999i | −0.910089 | − | 0.628988i | ||||
\(285\) | −2.84035 | + | 20.0243i | −0.168248 | + | 1.18614i | ||||
\(286\) | 3.77311 | + | 2.67396i | 0.223109 | + | 0.158115i | ||||
\(287\) | 2.65309 | − | 8.16536i | 0.156607 | − | 0.481986i | ||||
\(288\) | 7.30170 | − | 15.3194i | 0.430257 | − | 0.902707i | ||||
\(289\) | 5.24853 | + | 16.1533i | 0.308737 | + | 0.950194i | ||||
\(290\) | −0.822026 | + | 23.9243i | −0.0482710 | + | 1.40488i | ||||
\(291\) | −3.96543 | + | 9.15038i | −0.232458 | + | 0.536405i | ||||
\(292\) | −17.5249 | + | 13.3748i | −1.02557 | + | 0.782702i | ||||
\(293\) | − | 23.9925i | − | 1.40166i | −0.713330 | − | 0.700828i | \(-0.752814\pi\) | ||
0.713330 | − | 0.700828i | \(-0.247186\pi\) | |||||||
\(294\) | 7.90663 | + | 0.657662i | 0.461124 | + | 0.0383556i | ||||
\(295\) | 0.379805 | − | 1.00815i | 0.0221131 | − | 0.0586967i | ||||
\(296\) | −22.2584 | − | 14.9989i | −1.29374 | − | 0.871794i | ||||
\(297\) | 22.0194 | − | 7.88828i | 1.27770 | − | 0.457725i | ||||
\(298\) | 5.47678 | − | 7.72806i | 0.317261 | − | 0.447674i | ||||
\(299\) | 6.37025 | 0.368401 | ||||||||
\(300\) | 12.1690 | + | 12.3254i | 0.702577 | + | 0.711608i | ||||
\(301\) | 19.4524 | 1.12122 | ||||||||
\(302\) | −7.40479 | + | 10.4486i | −0.426098 | + | 0.601249i | ||||
\(303\) | 14.7225 | + | 24.9242i | 0.845783 | + | 1.43186i | ||||
\(304\) | −0.984359 | − | 20.8648i | −0.0564569 | − | 1.19668i | ||||
\(305\) | 2.22488 | + | 8.10118i | 0.127396 | + | 0.463872i | ||||
\(306\) | −0.0931398 | + | 0.518431i | −0.00532445 | + | 0.0296367i | ||||
\(307\) | 31.2261i | 1.78217i | 0.453839 | + | 0.891084i | \(0.350054\pi\) | ||||
−0.453839 | + | 0.891084i | \(0.649946\pi\) | |||||||
\(308\) | −17.4771 | − | 22.9000i | −0.995849 | − | 1.30485i | ||||
\(309\) | −1.36308 | − | 0.590707i | −0.0775428 | − | 0.0336042i | ||||
\(310\) | 0.800557 | − | 0.230042i | 0.0454686 | − | 0.0130655i | ||||
\(311\) | −0.903569 | − | 2.78090i | −0.0512367 | − | 0.157690i | 0.922164 | − | 0.386798i | \(-0.126419\pi\) |
−0.973401 | + | 0.229108i | \(0.926419\pi\) | |||||||
\(312\) | 3.55263 | + | 0.211332i | 0.201128 | + | 0.0119643i | ||||
\(313\) | 7.75708 | − | 23.8738i | 0.438456 | − | 1.34943i | −0.451047 | − | 0.892500i | \(-0.648949\pi\) |
0.889503 | − | 0.456929i | \(-0.151051\pi\) | |||||||
\(314\) | −2.92611 | − | 2.07370i | −0.165130 | − | 0.117026i | ||||
\(315\) | 18.3014 | + | 11.2166i | 1.03117 | + | 0.631985i | ||||
\(316\) | 7.29763 | − | 10.5590i | 0.410524 | − | 0.593991i | ||||
\(317\) | −1.81553 | + | 2.49886i | −0.101970 | + | 0.140350i | −0.856953 | − | 0.515395i | \(-0.827645\pi\) |
0.754983 | + | 0.655745i | \(0.227645\pi\) | |||||||
\(318\) | 7.85003 | + | 12.9389i | 0.440208 | + | 0.725578i | ||||
\(319\) | 20.0289 | − | 27.5674i | 1.12140 | − | 1.54348i | ||||
\(320\) | −14.7262 | − | 10.1557i | −0.823220 | − | 0.567722i | ||||
\(321\) | 9.38542 | − | 5.54387i | 0.523843 | − | 0.309428i | ||||
\(322\) | −37.8813 | − | 11.8167i | −2.11104 | − | 0.658517i | ||||
\(323\) | 0.200342 | + | 0.616591i | 0.0111474 | + | 0.0343080i | ||||
\(324\) | 11.1732 | − | 14.1124i | 0.620736 | − | 0.784020i | ||||
\(325\) | −1.43594 | + | 3.33641i | −0.0796517 | + | 0.185071i | ||||
\(326\) | 4.17859 | + | 5.61106i | 0.231431 | + | 0.310768i | ||||
\(327\) | 1.00361 | + | 4.50099i | 0.0554996 | + | 0.248905i | ||||
\(328\) | −4.24088 | + | 6.29348i | −0.234164 | + | 0.347499i | ||||
\(329\) | −3.32672 | − | 4.57883i | −0.183408 | − | 0.252439i | ||||
\(330\) | −4.53616 | − | 24.2340i | −0.249707 | − | 1.33404i | ||||
\(331\) | 10.1452 | − | 13.9637i | 0.557630 | − | 0.767512i | −0.433393 | − | 0.901205i | \(-0.642684\pi\) |
0.991023 | + | 0.133693i | \(0.0426837\pi\) | |||||||
\(332\) | −3.05628 | + | 10.2199i | −0.167735 | + | 0.560888i | ||||
\(333\) | −19.4662 | − | 20.7731i | −1.06674 | − | 1.13836i | ||||
\(334\) | 7.24608 | + | 21.4381i | 0.396488 | + | 1.17304i | ||||
\(335\) | −6.87813 | + | 8.60279i | −0.375793 | + | 0.470021i | ||||
\(336\) | −20.7341 | − | 7.84675i | −1.13114 | − | 0.428075i | ||||
\(337\) | −7.59358 | + | 23.3706i | −0.413649 | + | 1.27308i | 0.499805 | + | 0.866138i | \(0.333405\pi\) |
−0.913454 | + | 0.406942i | \(0.866595\pi\) | |||||||
\(338\) | −5.64790 | − | 16.7097i | −0.307205 | − | 0.908890i | ||||
\(339\) | −25.1331 | + | 5.60405i | −1.36504 | + | 0.304370i | ||||
\(340\) | 0.524044 | + | 0.183442i | 0.0284203 | + | 0.00994852i | ||||
\(341\) | −1.12764 | − | 0.366392i | −0.0610650 | − | 0.0198412i | ||||
\(342\) | 3.91760 | − | 21.8060i | 0.211840 | − | 1.17913i | ||||
\(343\) | 12.0346i | 0.649806i | ||||||||
\(344\) | −16.5306 | − | 4.73200i | −0.891268 | − | 0.255132i | ||||
\(345\) | −24.3999 | − | 23.6231i | −1.31365 | − | 1.27182i | ||||
\(346\) | 1.83609 | + | 0.572748i | 0.0987088 | + | 0.0307911i | ||||
\(347\) | 8.15225 | − | 5.92296i | 0.437636 | − | 0.317961i | −0.347059 | − | 0.937843i | \(-0.612820\pi\) |
0.784695 | + | 0.619882i | \(0.212820\pi\) | |||||||
\(348\) | 1.86556 | − | 26.1568i | 0.100005 | − | 1.40215i | ||||
\(349\) | 31.9479 | 1.71013 | 0.855066 | − | 0.518518i | \(-0.173516\pi\) | ||||
0.855066 | + | 0.518518i | \(0.173516\pi\) | |||||||
\(350\) | 14.7279 | − | 17.1767i | 0.787241 | − | 0.918133i | ||||
\(351\) | 3.62324 | + | 1.05885i | 0.193394 | + | 0.0565171i | ||||
\(352\) | 9.28126 | + | 23.7118i | 0.494693 | + | 1.26384i | ||||
\(353\) | 16.9510 | + | 23.3311i | 0.902211 | + | 1.24179i | 0.969758 | + | 0.244070i | \(0.0784828\pi\) |
−0.0675468 | + | 0.997716i | \(0.521517\pi\) | |||||||
\(354\) | −0.456466 | + | 1.08829i | −0.0242609 | + | 0.0578420i | ||||
\(355\) | −17.4104 | + | 11.4612i | −0.924046 | + | 0.608298i | ||||
\(356\) | 11.9621 | + | 15.6737i | 0.633988 | + | 0.830707i | ||||
\(357\) | 0.684998 | + | 0.0651145i | 0.0362539 | + | 0.00344623i | ||||
\(358\) | −3.65808 | + | 0.0431152i | −0.193336 | + | 0.00227871i | ||||
\(359\) | −2.76281 | + | 8.50306i | −0.145816 | + | 0.448774i | −0.997115 | − | 0.0759060i | \(-0.975815\pi\) |
0.851299 | + | 0.524680i | \(0.175815\pi\) | |||||||
\(360\) | −12.8239 | − | 13.9838i | −0.675879 | − | 0.737013i | ||||
\(361\) | −2.55539 | − | 7.86467i | −0.134494 | − | 0.413930i | ||||
\(362\) | −3.07433 | − | 9.09565i | −0.161583 | − | 0.478057i | ||||
\(363\) | −6.37902 | + | 14.7198i | −0.334811 | + | 0.772590i | ||||
\(364\) | −0.109576 | − | 4.64782i | −0.00574336 | − | 0.243612i | ||||
\(365\) | 6.52745 | + | 23.7676i | 0.341662 | + | 1.24406i | ||||
\(366\) | −2.10857 | − | 8.95818i | −0.110217 | − | 0.468252i | ||||
\(367\) | 3.26225 | − | 4.49011i | 0.170288 | − | 0.234382i | −0.715340 | − | 0.698777i | \(-0.753728\pi\) |
0.885628 | + | 0.464395i | \(0.153728\pi\) | |||||||
\(368\) | 29.3168 | + | 19.2567i | 1.52824 | + | 1.00383i | ||||
\(369\) | −5.87351 | + | 5.50399i | −0.305763 | + | 0.286526i | ||||
\(370\) | −24.8687 | + | 16.7944i | −1.29286 | + | 0.873102i | ||||
\(371\) | 15.9943 | − | 11.6205i | 0.830382 | − | 0.603308i | ||||
\(372\) | −0.885656 | + | 0.219513i | −0.0459191 | + | 0.0113812i | ||||
\(373\) | 4.22694 | + | 13.0092i | 0.218863 | + | 0.673590i | 0.998857 | + | 0.0478029i | \(0.0152219\pi\) |
−0.779994 | + | 0.625787i | \(0.784778\pi\) | |||||||
\(374\) | −0.472050 | − | 0.633875i | −0.0244091 | − | 0.0327769i | ||||
\(375\) | 17.8726 | − | 7.45446i | 0.922939 | − | 0.384947i | ||||
\(376\) | 1.71318 | + | 4.70032i | 0.0883503 | + | 0.242401i | ||||
\(377\) | 5.23014 | − | 1.69937i | 0.269366 | − | 0.0875222i | ||||
\(378\) | −19.5819 | − | 13.0176i | −1.00718 | − | 0.669552i | ||||
\(379\) | −1.53841 | − | 2.11744i | −0.0790229 | − | 0.108766i | 0.767676 | − | 0.640839i | \(-0.221413\pi\) |
−0.846699 | + | 0.532073i | \(0.821413\pi\) | |||||||
\(380\) | −22.0421 | − | 7.71584i | −1.13074 | − | 0.395814i | ||||
\(381\) | 16.0209 | − | 18.1528i | 0.820773 | − | 0.929999i | ||||
\(382\) | 25.2238 | − | 18.7843i | 1.29056 | − | 0.961090i | ||||
\(383\) | −16.6069 | − | 12.0656i | −0.848571 | − | 0.616523i | 0.0761809 | − | 0.997094i | \(-0.475727\pi\) |
−0.924752 | + | 0.380571i | \(0.875727\pi\) | |||||||
\(384\) | 15.7109 | + | 11.7119i | 0.801742 | + | 0.597670i | ||||
\(385\) | −31.0576 | + | 8.52952i | −1.58284 | + | 0.434704i | ||||
\(386\) | 17.8939 | + | 12.6812i | 0.910776 | + | 0.645456i | ||||
\(387\) | −15.9724 | − | 8.80279i | −0.811924 | − | 0.447471i | ||||
\(388\) | −9.47314 | − | 6.54715i | −0.480926 | − | 0.332381i | ||||
\(389\) | 28.0578 | − | 9.11654i | 1.42259 | − | 0.462227i | 0.506164 | − | 0.862437i | \(-0.331063\pi\) |
0.916423 | + | 0.400210i | \(0.131063\pi\) | |||||||
\(390\) | 1.70660 | − | 3.59441i | 0.0864170 | − | 0.182010i | ||||
\(391\) | −1.03539 | − | 0.336419i | −0.0523620 | − | 0.0170134i | ||||
\(392\) | −2.52123 | + | 8.80756i | −0.127341 | + | 0.444849i | ||||
\(393\) | −5.26234 | − | 0.500228i | −0.265450 | − | 0.0252332i | ||||
\(394\) | 0.228120 | + | 19.3547i | 0.0114925 | + | 0.975078i | ||||
\(395\) | −7.89062 | − | 11.9864i | −0.397020 | − | 0.603100i | ||||
\(396\) | 3.98755 | + | 26.7121i | 0.200382 | + | 1.34234i | ||||
\(397\) | −15.2914 | + | 11.1099i | −0.767455 | + | 0.557588i | −0.901188 | − | 0.433429i | \(-0.857304\pi\) |
0.133733 | + | 0.991017i | \(0.457304\pi\) | |||||||
\(398\) | 0.711045 | − | 1.00333i | 0.0356415 | − | 0.0502922i | ||||
\(399\) | −28.8121 | − | 2.73882i | −1.44241 | − | 0.137112i | ||||
\(400\) | −16.6941 | + | 11.0139i | −0.834706 | + | 0.550696i | ||||
\(401\) | − | 20.3531i | − | 1.01639i | −0.861243 | − | 0.508193i | \(-0.830314\pi\) | ||
0.861243 | − | 0.508193i | \(-0.169686\pi\) | |||||||
\(402\) | 7.87675 | − | 9.13986i | 0.392856 | − | 0.455855i | ||||
\(403\) | −0.112473 | − | 0.154806i | −0.00560270 | − | 0.00771146i | ||||
\(404\) | −31.5376 | + | 11.0756i | −1.56905 | + | 0.551029i | ||||
\(405\) | −9.95151 | − | 17.4919i | −0.494494 | − | 0.869181i | ||||
\(406\) | −34.2538 | + | 0.403725i | −1.69999 | + | 0.0200366i | ||||
\(407\) | 42.7156 | 2.11733 | ||||||||
\(408\) | −0.566267 | − | 0.221967i | −0.0280344 | − | 0.0109890i | ||||
\(409\) | 7.28912 | − | 22.4336i | 0.360424 | − | 1.10927i | −0.592373 | − | 0.805664i | \(-0.701809\pi\) |
0.952797 | − | 0.303607i | \(-0.0981911\pi\) | |||||||
\(410\) | 4.74856 | + | 7.03153i | 0.234515 | + | 0.347262i | ||||
\(411\) | 14.2792 | − | 3.18391i | 0.704343 | − | 0.157051i | ||||
\(412\) | 0.975291 | − | 1.41116i | 0.0480491 | − | 0.0695227i | ||||
\(413\) | 1.46620 | + | 0.476399i | 0.0721472 | + | 0.0234420i | ||||
\(414\) | 25.7571 | + | 26.8451i | 1.26589 | + | 1.31936i | ||||
\(415\) | 9.31493 | + | 7.44751i | 0.457252 | + | 0.365584i | ||||
\(416\) | −1.03751 | + | 3.97635i | −0.0508682 | + | 0.194956i | ||||
\(417\) | 14.6265 | − | 16.5730i | 0.716264 | − | 0.811582i | ||||
\(418\) | 19.8552 | + | 26.6617i | 0.971148 | + | 1.30407i | ||||
\(419\) | −21.8072 | − | 15.8439i | −1.06535 | − | 0.774024i | −0.0902819 | − | 0.995916i | \(-0.528777\pi\) |
−0.975071 | + | 0.221892i | \(0.928777\pi\) | |||||||
\(420\) | −16.8160 | + | 18.2089i | −0.820538 | + | 0.888501i | ||||
\(421\) | 23.3938 | − | 16.9966i | 1.14015 | − | 0.828365i | 0.153006 | − | 0.988225i | \(-0.451104\pi\) |
0.987140 | + | 0.159861i | \(0.0511045\pi\) | |||||||
\(422\) | −8.19524 | − | 2.55641i | −0.398938 | − | 0.124444i | ||||
\(423\) | 0.659519 | + | 5.26512i | 0.0320669 | + | 0.255999i | ||||
\(424\) | −16.4187 | + | 5.98429i | −0.797361 | + | 0.290623i | ||||
\(425\) | 0.409590 | − | 0.466452i | 0.0198680 | − | 0.0226262i | ||||
\(426\) | 19.5218 | − | 11.8438i | 0.945833 | − | 0.573836i | ||||
\(427\) | −11.4338 | + | 3.71505i | −0.553318 | + | 0.179784i | ||||
\(428\) | 4.17060 | + | 11.8758i | 0.201593 | + | 0.574036i | ||||
\(429\) | −4.87666 | + | 2.88059i | −0.235448 | + | 0.139076i | ||||
\(430\) | −11.8270 | + | 15.1554i | −0.570349 | + | 0.730858i | ||||
\(431\) | −11.7243 | − | 8.51823i | −0.564741 | − | 0.410308i | 0.268450 | − | 0.963294i | \(-0.413489\pi\) |
−0.833191 | + | 0.552985i | \(0.813489\pi\) | |||||||
\(432\) | 13.4739 | + | 15.8257i | 0.648263 | + | 0.761417i | ||||
\(433\) | −1.61446 | − | 1.17297i | −0.0775858 | − | 0.0563694i | 0.548316 | − | 0.836271i | \(-0.315269\pi\) |
−0.625902 | + | 0.779902i | \(0.715269\pi\) | |||||||
\(434\) | 0.381673 | + | 1.12921i | 0.0183209 | + | 0.0542037i | ||||
\(435\) | −26.3348 | − | 12.8860i | −1.26266 | − | 0.617839i | ||||
\(436\) | −5.32345 | + | 0.125505i | −0.254947 | + | 0.00601059i | ||||
\(437\) | 43.5501 | + | 14.1503i | 2.08328 | + | 0.676900i | ||||
\(438\) | −6.18624 | − | 26.2819i | −0.295590 | − | 1.25580i | ||||
\(439\) | −34.6081 | + | 11.2449i | −1.65175 | + | 0.536688i | −0.979119 | − | 0.203287i | \(-0.934838\pi\) |
−0.672635 | + | 0.739974i | \(0.734838\pi\) | |||||||
\(440\) | 28.4674 | + | 0.306734i | 1.35713 | + | 0.0146230i | ||||
\(441\) | −4.69017 | + | 8.51018i | −0.223341 | + | 0.405247i | ||||
\(442\) | −0.00150323 | − | 0.127541i | −7.15014e−5 | − | 0.00606649i | ||||
\(443\) | 3.14033 | 0.149202 | 0.0746008 | − | 0.997213i | \(-0.476232\pi\) | ||||
0.0746008 | + | 0.997213i | \(0.476232\pi\) | |||||||
\(444\) | 27.9017 | − | 17.3811i | 1.32416 | − | 0.824870i | ||||
\(445\) | 21.2571 | − | 5.83796i | 1.00768 | − | 0.276746i | ||||
\(446\) | 27.8008 | + | 8.67214i | 1.31641 | + | 0.410638i | ||||
\(447\) | 5.90001 | + | 9.98834i | 0.279061 | + | 0.472432i | ||||
\(448\) | 13.5457 | − | 21.7212i | 0.639975 | − | 1.02623i | ||||
\(449\) | 41.8754i | 1.97622i | 0.153740 | + | 0.988111i | \(0.450868\pi\) | ||||
−0.153740 | + | 0.988111i | \(0.549132\pi\) | |||||||
\(450\) | −19.8661 | + | 7.43899i | −0.936496 | + | 0.350677i | ||||
\(451\) | − | 12.0777i | − | 0.568715i | ||||||
\(452\) | −0.700806 | − | 29.7256i | −0.0329632 | − | 1.39818i | ||||
\(453\) | −7.97701 | − | 13.5046i | −0.374792 | − | 0.634500i | ||||
\(454\) | 3.01731 | − | 9.67275i | 0.141609 | − | 0.453965i | ||||
\(455\) | −4.86414 | − | 1.83249i | −0.228034 | − | 0.0859085i | ||||
\(456\) | 23.8181 | + | 9.33625i | 1.11538 | + | 0.437210i | ||||
\(457\) | −28.4964 | −1.33300 | −0.666502 | − | 0.745504i | \(-0.732209\pi\) | ||||
−0.666502 | + | 0.745504i | \(0.732209\pi\) | |||||||
\(458\) | 12.7290 | − | 0.150027i | 0.594786 | − | 0.00701031i | ||||
\(459\) | −0.532987 | − | 0.363447i | −0.0248777 | − | 0.0169643i | ||||
\(460\) | 32.2381 | − | 22.3289i | 1.50311 | − | 1.04109i | ||||
\(461\) | −4.21844 | + | 1.37065i | −0.196472 | + | 0.0638377i | −0.405600 | − | 0.914051i | \(-0.632937\pi\) |
0.209128 | + | 0.977888i | \(0.432937\pi\) | |||||||
\(462\) | 34.3430 | − | 8.08365i | 1.59778 | − | 0.376085i | ||||
\(463\) | −26.8120 | − | 8.71174i | −1.24606 | − | 0.404869i | −0.389551 | − | 0.921005i | \(-0.627370\pi\) |
−0.856507 | + | 0.516136i | \(0.827370\pi\) | |||||||
\(464\) | 29.2069 | + | 7.98951i | 1.35590 | + | 0.370904i | ||||
\(465\) | −0.143270 | + | 1.01004i | −0.00664397 | + | 0.0468397i | ||||
\(466\) | 24.7150 | − | 8.35368i | 1.14490 | − | 0.386977i | ||||
\(467\) | 5.88884 | + | 4.27849i | 0.272503 | + | 0.197985i | 0.715641 | − | 0.698468i | \(-0.246135\pi\) |
−0.443138 | + | 0.896453i | \(0.646135\pi\) | |||||||
\(468\) | −2.01330 | + | 3.86592i | −0.0930649 | + | 0.178702i | ||||
\(469\) | −12.7515 | − | 9.26452i | −0.588811 | − | 0.427796i | ||||
\(470\) | 5.59000 | + | 0.192069i | 0.257847 | + | 0.00885950i | ||||
\(471\) | 3.78194 | − | 2.23395i | 0.174262 | − | 0.102935i | ||||
\(472\) | −1.13008 | − | 0.761510i | −0.0520163 | − | 0.0350513i | ||||
\(473\) | 26.0252 | − | 8.45611i | 1.19664 | − | 0.388812i | ||||
\(474\) | 8.15404 | + | 13.4400i | 0.374528 | + | 0.617320i | ||||
\(475\) | −17.2280 | + | 19.6197i | −0.790475 | + | 0.900212i | ||||
\(476\) | −0.227646 | + | 0.761223i | −0.0104341 | + | 0.0348906i | ||||
\(477\) | −18.3916 | + | 2.30376i | −0.842092 | + | 0.105482i | ||||
\(478\) | −5.20509 | + | 16.6863i | −0.238075 | + | 0.763211i | ||||
\(479\) | −10.4638 | + | 7.60243i | −0.478105 | + | 0.347364i | −0.800592 | − | 0.599210i | \(-0.795481\pi\) |
0.322486 | + | 0.946574i | \(0.395481\pi\) | |||||||
\(480\) | 18.7196 | − | 11.3831i | 0.854431 | − | 0.519565i | ||||
\(481\) | 5.57715 | + | 4.05203i | 0.254296 | + | 0.184757i | ||||
\(482\) | −11.4891 | + | 8.55600i | −0.523314 | + | 0.389715i | ||||
\(483\) | 32.1588 | − | 36.4384i | 1.46328 | − | 1.65800i | ||||
\(484\) | −15.2390 | − | 10.5321i | −0.692682 | − | 0.478732i | ||||
\(485\) | −10.7537 | + | 7.07916i | −0.488301 | + | 0.321448i | ||||
\(486\) | 10.1879 | + | 19.5501i | 0.462131 | + | 0.886811i | ||||
\(487\) | 34.5774 | + | 11.2349i | 1.56685 | + | 0.509101i | 0.958628 | − | 0.284663i | \(-0.0918816\pi\) |
0.608226 | + | 0.793764i | \(0.291882\pi\) | |||||||
\(488\) | 10.6201 | − | 0.375652i | 0.480748 | − | 0.0170050i | ||||
\(489\) | −8.36300 | + | 1.86474i | −0.378188 | + | 0.0843264i | ||||
\(490\) | 8.07486 | + | 6.30149i | 0.364785 | + | 0.284672i | ||||
\(491\) | 2.27746 | − | 7.00929i | 0.102780 | − | 0.316325i | −0.886423 | − | 0.462876i | \(-0.846817\pi\) |
0.989203 | + | 0.146551i | \(0.0468174\pi\) | |||||||
\(492\) | −4.91443 | − | 7.88909i | −0.221560 | − | 0.355668i | ||||
\(493\) | −0.939828 | −0.0423277 | ||||||||
\(494\) | 0.0632282 | + | 5.36456i | 0.00284477 | + | 0.241363i | ||||
\(495\) | 29.3613 | + | 7.05084i | 1.31969 | + | 0.316912i | ||||
\(496\) | −0.0496519 | − | 1.05244i | −0.00222944 | − | 0.0472560i | ||||
\(497\) | −17.5327 | − | 24.1316i | −0.786447 | − | 1.08245i | ||||
\(498\) | −9.89645 | − | 8.52879i | −0.443471 | − | 0.382184i | ||||
\(499\) | 20.2854i | 0.908101i | 0.890976 | + | 0.454051i | \(0.150021\pi\) | ||||
−0.890976 | + | 0.454051i | \(0.849979\pi\) | |||||||
\(500\) | 4.42782 | + | 21.9179i | 0.198018 | + | 0.980198i | ||||
\(501\) | −27.5911 | − | 2.62275i | −1.23268 | − | 0.117176i | ||||
\(502\) | −12.9044 | − | 9.14520i | −0.575952 | − | 0.408170i | ||||
\(503\) | −17.4711 | + | 12.6935i | −0.778998 | + | 0.565975i | −0.904678 | − | 0.426096i | \(-0.859889\pi\) |
0.125680 | + | 0.992071i | \(0.459889\pi\) | |||||||
\(504\) | 19.1435 | − | 19.2545i | 0.852719 | − | 0.857663i | ||||
\(505\) | −1.72339 | + | 37.3315i | −0.0766897 | + | 1.66123i | ||||
\(506\) | −55.8179 | + | 0.657885i | −2.48141 | + | 0.0292465i | ||||
\(507\) | 21.5056 | + | 2.04428i | 0.955099 | + | 0.0907898i | ||||
\(508\) | 16.9612 | + | 22.2241i | 0.752532 | + | 0.986033i | ||||
\(509\) | 2.01333 | + | 0.654171i | 0.0892393 | + | 0.0289956i | 0.353296 | − | 0.935511i | \(-0.385061\pi\) |
−0.264057 | + | 0.964507i | \(0.585061\pi\) | |||||||
\(510\) | −0.467207 | + | 0.494092i | −0.0206883 | + | 0.0218788i | ||||
\(511\) | −33.5449 | + | 10.8994i | −1.48394 | + | 0.482161i | ||||
\(512\) | −16.7950 | + | 15.1634i | −0.742240 | + | 0.670135i | ||||
\(513\) | 22.4182 | + | 15.2871i | 0.989789 | + | 0.674944i | ||||
\(514\) | 14.0416 | − | 19.8135i | 0.619348 | − | 0.873936i | ||||
\(515\) | −1.05454 | − | 1.60192i | −0.0464686 | − | 0.0705889i | ||||
\(516\) | 13.5588 | − | 16.1132i | 0.596892 | − | 0.709346i | ||||
\(517\) | −6.44123 | − | 4.67983i | −0.283285 | − | 0.205819i | ||||
\(518\) | −25.6487 | − | 34.4413i | −1.12694 | − | 1.51327i | ||||
\(519\) | −1.55872 | + | 1.76615i | −0.0684203 | + | 0.0775254i | ||||
\(520\) | 3.68774 | + | 2.74049i | 0.161718 | + | 0.120178i | ||||
\(521\) | −12.1266 | − | 16.6909i | −0.531278 | − | 0.731241i | 0.456047 | − | 0.889956i | \(-0.349265\pi\) |
−0.987324 | + | 0.158715i | \(0.949265\pi\) | |||||||
\(522\) | 28.3086 | + | 15.1694i | 1.23903 | + | 0.663945i | ||||
\(523\) | −10.2537 | + | 3.33162i | −0.448362 | + | 0.145682i | −0.524490 | − | 0.851416i | \(-0.675744\pi\) |
0.0761284 | + | 0.997098i | \(0.475744\pi\) | |||||||
\(524\) | 1.74884 | − | 5.84792i | 0.0763984 | − | 0.255468i | ||||
\(525\) | 11.8355 | + | 25.0569i | 0.516545 | + | 1.09357i | ||||
\(526\) | −12.3529 | + | 9.19930i | −0.538613 | + | 0.401108i | ||||
\(527\) | 0.0101054 | + | 0.0311014i | 0.000440200 | + | 0.00135480i | ||||
\(528\) | −31.1509 | − | 1.48485i | −1.35567 | − | 0.0646199i | ||||
\(529\) | −43.6008 | + | 31.6779i | −1.89569 | + | 1.37730i | ||||
\(530\) | −0.670917 | + | 19.5264i | −0.0291428 | + | 0.848173i | ||||
\(531\) | −0.988319 | − | 1.05467i | −0.0428894 | − | 0.0457689i | ||||
\(532\) | 9.57514 | − | 32.0182i | 0.415135 | − | 1.38816i | ||||
\(533\) | 1.14570 | − | 1.57692i | 0.0496256 | − | 0.0683038i | ||||
\(534\) | −23.5058 | + | 5.53279i | −1.01720 | + | 0.239427i | ||||
\(535\) | 14.0575 | + | 0.648956i | 0.607758 | + | 0.0280568i | ||||
\(536\) | 8.58248 | + | 10.9749i | 0.370707 | + | 0.474042i | ||||
\(537\) | 1.78159 | − | 4.11109i | 0.0768814 | − | 0.177407i | ||||
\(538\) | −11.1669 | + | 3.77440i | −0.481437 | + | 0.162726i | ||||
\(539\) | −4.50545 | − | 13.8664i | −0.194064 | − | 0.597266i | ||||
\(540\) | 22.0477 | − | 7.34159i | 0.948782 | − | 0.315932i | ||||
\(541\) | 0.557838 | − | 1.71685i | 0.0239833 | − | 0.0738130i | −0.938348 | − | 0.345691i | \(-0.887645\pi\) |
0.962332 | + | 0.271878i | \(0.0876446\pi\) | |||||||
\(542\) | 0.0646363 | + | 5.48403i | 0.00277637 | + | 0.235559i | ||||
\(543\) | 11.7062 | + | 1.11277i | 0.502362 | + | 0.0477535i | ||||
\(544\) | 0.378627 | − | 0.591505i | 0.0162335 | − | 0.0253606i | ||||
\(545\) | −2.09887 | + | 5.57120i | −0.0899056 | + | 0.238644i | ||||
\(546\) | 5.25081 | + | 2.20237i | 0.224714 | + | 0.0942526i | ||||
\(547\) | −1.36110 | − | 1.87339i | −0.0581964 | − | 0.0801005i | 0.778927 | − | 0.627115i | \(-0.215764\pi\) |
−0.837123 | + | 0.547014i | \(0.815764\pi\) | |||||||
\(548\) | 0.398159 | + | 16.8885i | 0.0170085 | + | 0.721439i | ||||
\(549\) | 11.0694 | + | 2.12367i | 0.472433 | + | 0.0906360i | ||||
\(550\) | 12.2375 | − | 29.3829i | 0.521810 | − | 1.25289i | ||||
\(551\) | 39.5306 | 1.68406 | ||||||||
\(552\) | −36.1924 | + | 23.1422i | −1.54045 | + | 0.984996i | ||||
\(553\) | 16.6137 | − | 12.0706i | 0.706487 | − | 0.513293i | ||||
\(554\) | 9.27810 | − | 29.7433i | 0.394189 | − | 1.26367i | ||||
\(555\) | −6.33575 | − | 36.2024i | −0.268938 | − | 1.53671i | ||||
\(556\) | 15.4850 | + | 20.2899i | 0.656712 | + | 0.860482i | ||||
\(557\) | − | 22.2726i | − | 0.943720i | −0.881673 | − | 0.471860i | \(-0.843583\pi\) | ||
0.881673 | − | 0.471860i | \(-0.156417\pi\) | |||||||
\(558\) | 0.197607 | − | 1.09991i | 0.00836538 | − | 0.0465630i | ||||
\(559\) | 4.20013 | + | 1.36470i | 0.177646 | + | 0.0577208i | ||||
\(560\) | −16.8460 | − | 23.1373i | −0.711873 | − | 0.977728i | ||||
\(561\) | 0.944757 | − | 0.210657i | 0.0398877 | − | 0.00889395i | ||||
\(562\) | 17.3705 | − | 5.87123i | 0.732729 | − | 0.247663i | ||||
\(563\) | −2.34577 | + | 7.21954i | −0.0988625 | + | 0.304267i | −0.988241 | − | 0.152904i | \(-0.951137\pi\) |
0.889379 | + | 0.457172i | \(0.151137\pi\) | |||||||
\(564\) | −6.11163 | − | 0.435896i | −0.257346 | − | 0.0183545i | ||||
\(565\) | −31.1091 | − | 11.7199i | −1.30877 | − | 0.493059i | ||||
\(566\) | −4.83649 | + | 1.63474i | −0.203293 | + | 0.0687130i | ||||
\(567\) | 24.3479 | − | 15.3799i | 1.02251 | − | 0.645896i | ||||
\(568\) | 9.02888 | + | 24.7719i | 0.378843 | + | 1.03941i | ||||
\(569\) | −15.0018 | + | 20.6482i | −0.628908 | + | 0.865618i | −0.997963 | − | 0.0637895i | \(-0.979681\pi\) |
0.369055 | + | 0.929408i | \(0.379681\pi\) | |||||||
\(570\) | 19.6514 | − | 20.7823i | 0.823108 | − | 0.870474i | ||||
\(571\) | −22.0534 | − | 30.3539i | −0.922906 | − | 1.27027i | −0.962563 | − | 0.271058i | \(-0.912627\pi\) |
0.0396570 | − | 0.999213i | \(-0.487373\pi\) | |||||||
\(572\) | −2.16704 | − | 6.17064i | −0.0906086 | − | 0.258008i | ||||
\(573\) | 8.38270 | + | 37.5948i | 0.350192 | + | 1.57055i | ||||
\(574\) | −9.73815 | + | 7.25206i | −0.406462 | + | 0.302695i | ||||
\(575\) | −9.64927 | − | 42.7695i | −0.402402 | − | 1.78361i | ||||
\(576\) | −20.9519 | + | 11.7055i | −0.872995 | + | 0.487729i | ||||
\(577\) | −10.7395 | − | 33.0529i | −0.447093 | − | 1.37601i | −0.880173 | − | 0.474654i | \(-0.842573\pi\) |
0.433080 | − | 0.901356i | \(-0.357427\pi\) | |||||||
\(578\) | 7.15279 | − | 22.9301i | 0.297517 | − | 0.953767i | ||||
\(579\) | −23.1275 | + | 13.6612i | −0.961145 | + | 0.567738i | ||||
\(580\) | 20.5117 | − | 26.9326i | 0.851701 | − | 1.11832i | ||||
\(581\) | −10.0314 | + | 13.8071i | −0.416174 | + | 0.572815i | ||||
\(582\) | 12.0579 | − | 7.31549i | 0.499814 | − | 0.303237i | ||||
\(583\) | 16.3471 | − | 22.4998i | 0.677027 | − | 0.931848i | ||||
\(584\) | 31.1577 | − | 1.10211i | 1.28931 | − | 0.0456055i | ||||
\(585\) | 3.16470 | + | 3.70582i | 0.130844 | + | 0.153217i | ||||
\(586\) | −19.6190 | + | 27.6835i | −0.810451 | + | 1.14359i | ||||
\(587\) | −4.78598 | + | 14.7297i | −0.197538 | + | 0.607961i | 0.802399 | + | 0.596788i | \(0.203557\pi\) |
−0.999938 | + | 0.0111729i | \(0.996443\pi\) | |||||||
\(588\) | −8.58521 | − | 7.22418i | −0.354048 | − | 0.297920i | ||||
\(589\) | −0.425050 | − | 1.30817i | −0.0175139 | − | 0.0539022i | ||||
\(590\) | −1.26261 | + | 0.852671i | −0.0519808 | + | 0.0351039i | ||||
\(591\) | −21.7516 | − | 9.42633i | −0.894741 | − | 0.387747i | ||||
\(592\) | 13.4179 | + | 35.5073i | 0.551471 | + | 1.45934i | ||||
\(593\) | 21.7592i | 0.893542i | 0.894648 | + | 0.446771i | \(0.147426\pi\) | ||||
−0.894648 | + | 0.446771i | \(0.852574\pi\) | |||||||
\(594\) | −31.8572 | − | 8.90372i | −1.30712 | − | 0.365324i | ||||
\(595\) | 0.693819 | + | 0.554724i | 0.0284438 | + | 0.0227415i | ||||
\(596\) | −12.6387 | + | 4.43851i | −0.517699 | + | 0.181809i | ||||
\(597\) | 0.765992 | + | 1.29678i | 0.0313500 | + | 0.0530735i | ||||
\(598\) | −7.35025 | − | 5.20903i | −0.300574 | − | 0.213013i | ||||
\(599\) | 35.8420 | 1.46446 | 0.732232 | − | 0.681055i | \(-0.238479\pi\) | ||||
0.732232 | + | 0.681055i | \(0.238479\pi\) | |||||||
\(600\) | −3.96244 | − | 24.1723i | −0.161766 | − | 0.986829i | ||||
\(601\) | −1.96891 | −0.0803136 | −0.0401568 | − | 0.999193i | \(-0.512786\pi\) | ||||
−0.0401568 | + | 0.999193i | \(0.512786\pi\) | |||||||
\(602\) | −22.4450 | − | 15.9065i | −0.914790 | − | 0.648300i | ||||
\(603\) | 6.27783 | + | 13.3776i | 0.255653 | + | 0.544776i | ||||
\(604\) | 17.0879 | − | 6.00102i | 0.695296 | − | 0.244178i | ||||
\(605\) | −17.2990 | + | 11.3879i | −0.703305 | + | 0.462985i | ||||
\(606\) | 3.39346 | − | 40.7973i | 0.137850 | − | 1.65728i | ||||
\(607\) | − | 39.1284i | − | 1.58817i | −0.607805 | − | 0.794086i | \(-0.707950\pi\) | ||
0.607805 | − | 0.794086i | \(-0.292050\pi\) | |||||||
\(608\) | −15.9256 | + | 24.8796i | −0.645870 | + | 1.00900i | ||||
\(609\) | 16.6826 | − | 38.4958i | 0.676014 | − | 1.55993i | ||||
\(610\) | 4.05729 | − | 11.1668i | 0.164275 | − | 0.452130i | ||||
\(611\) | −0.397065 | − | 1.22204i | −0.0160635 | − | 0.0494385i | ||||
\(612\) | 0.531396 | − | 0.522025i | 0.0214804 | − | 0.0211016i | ||||
\(613\) | −9.83801 | + | 30.2783i | −0.397354 | + | 1.22293i | 0.529760 | + | 0.848148i | \(0.322282\pi\) |
−0.927113 | + | 0.374781i | \(0.877718\pi\) | |||||||
\(614\) | 25.5340 | − | 36.0299i | 1.03047 | − | 1.45405i | ||||
\(615\) | −10.2361 | + | 1.79141i | −0.412759 | + | 0.0722366i | ||||
\(616\) | 1.44014 | + | 40.7142i | 0.0580249 | + | 1.64042i | ||||
\(617\) | 21.9212 | − | 30.1720i | 0.882515 | − | 1.21468i | −0.0932026 | − | 0.995647i | \(-0.529710\pi\) |
0.975718 | − | 0.219031i | \(-0.0702896\pi\) | |||||||
\(618\) | 1.08975 | + | 1.79619i | 0.0438360 | + | 0.0722533i | ||||
\(619\) | 17.7900 | − | 24.4858i | 0.715039 | − | 0.984167i | −0.284635 | − | 0.958636i | \(-0.591872\pi\) |
0.999674 | − | 0.0255308i | \(-0.00812760\pi\) | |||||||
\(620\) | −1.11182 | − | 0.389193i | −0.0446519 | − | 0.0156304i | ||||
\(621\) | −42.8951 | + | 15.3668i | −1.72132 | + | 0.616650i | ||||
\(622\) | −1.23140 | + | 3.94757i | −0.0493747 | + | 0.158283i | ||||
\(623\) | 9.74811 | + | 30.0016i | 0.390550 | + | 1.20199i | ||||
\(624\) | −3.92636 | − | 3.14887i | −0.157180 | − | 0.126056i | ||||
\(625\) | 24.5756 | + | 4.58703i | 0.983023 | + | 0.183481i | ||||
\(626\) | −28.4724 | + | 21.2035i | −1.13798 | + | 0.847464i | ||||
\(627\) | −39.7379 | + | 8.86056i | −1.58698 | + | 0.353857i | ||||
\(628\) | 1.68058 | + | 4.78544i | 0.0670623 | + | 0.190960i | ||||
\(629\) | −0.692492 | − | 0.953133i | −0.0276115 | − | 0.0380039i | ||||
\(630\) | −11.9450 | − | 27.9075i | −0.475899 | − | 1.11186i | ||||
\(631\) | 10.0743 | − | 13.8661i | 0.401052 | − | 0.552001i | −0.559955 | − | 0.828523i | \(-0.689182\pi\) |
0.961008 | + | 0.276522i | \(0.0891817\pi\) | |||||||
\(632\) | −17.0545 | + | 6.21605i | −0.678393 | + | 0.247261i | ||||
\(633\) | 6.95723 | − | 7.88307i | 0.276525 | − | 0.313324i | ||||
\(634\) | 4.13818 | − | 1.39871i | 0.164348 | − | 0.0555497i | ||||
\(635\) | 30.1408 | − | 8.27774i | 1.19610 | − | 0.328492i | ||||
\(636\) | 1.52262 | − | 21.3485i | 0.0603760 | − | 0.846523i | ||||
\(637\) | 0.727120 | − | 2.23785i | 0.0288096 | − | 0.0886667i | ||||
\(638\) | −45.6524 | + | 15.4305i | −1.80740 | + | 0.610900i | ||||
\(639\) | 3.47583 | + | 27.7486i | 0.137502 | + | 1.09772i | ||||
\(640\) | 8.68724 | + | 23.7599i | 0.343393 | + | 0.939192i | ||||
\(641\) | −16.5445 | − | 5.37564i | −0.653469 | − | 0.212325i | −0.0365257 | − | 0.999333i | \(-0.511629\pi\) |
−0.616943 | + | 0.787008i | \(0.711629\pi\) | |||||||
\(642\) | −15.3626 | − | 1.27784i | −0.606312 | − | 0.0504322i | ||||
\(643\) | − | 35.6925i | − | 1.40758i | −0.710410 | − | 0.703788i | \(-0.751491\pi\) | ||
0.710410 | − | 0.703788i | \(-0.248509\pi\) | |||||||
\(644\) | 34.0464 | + | 44.6106i | 1.34162 | + | 1.75790i | ||||
\(645\) | −11.0269 | − | 20.8027i | −0.434184 | − | 0.819107i | ||||
\(646\) | 0.273031 | − | 0.875269i | 0.0107422 | − | 0.0344370i | ||||
\(647\) | −27.2237 | + | 19.7791i | −1.07027 | + | 0.777598i | −0.975961 | − | 0.217945i | \(-0.930065\pi\) |
−0.0943110 | + | 0.995543i | \(0.530065\pi\) | |||||||
\(648\) | −24.4320 | + | 7.14690i | −0.959779 | + | 0.280757i | ||||
\(649\) | 2.16871 | 0.0851295 | ||||||||
\(650\) | 4.38507 | − | 2.67550i | 0.171997 | − | 0.104942i | ||||
\(651\) | −1.45330 | − | 0.138148i | −0.0569595 | − | 0.00541446i | ||||
\(652\) | −0.233192 | − | 9.89116i | −0.00913251 | − | 0.387368i | ||||
\(653\) | 0.448429 | + | 0.617209i | 0.0175484 | + | 0.0241533i | 0.817701 | − | 0.575643i | \(-0.195248\pi\) |
−0.800153 | + | 0.599796i | \(0.795248\pi\) | |||||||
\(654\) | 2.52251 | − | 6.01408i | 0.0986380 | − | 0.235169i | ||||
\(655\) | −5.33011 | − | 4.26154i | −0.208264 | − | 0.166512i | ||||
\(656\) | 10.0396 | − | 3.79385i | 0.391979 | − | 0.148125i | ||||
\(657\) | 32.4761 | + | 6.23053i | 1.26701 | + | 0.243076i | ||||
\(658\) | 0.0943319 | + | 8.00354i | 0.00367744 | + | 0.312010i | ||||
\(659\) | −10.0879 | + | 31.0475i | −0.392970 | + | 1.20944i | 0.537561 | + | 0.843225i | \(0.319346\pi\) |
−0.930531 | + | 0.366213i | \(0.880654\pi\) | |||||||
\(660\) | −14.5825 | + | 31.6715i | −0.567622 | + | 1.23281i | ||||
\(661\) | 3.57185 | + | 10.9930i | 0.138929 | + | 0.427579i | 0.996180 | − | 0.0873186i | \(-0.0278298\pi\) |
−0.857251 | + | 0.514898i | \(0.827830\pi\) | |||||||
\(662\) | −23.1242 | + | 7.81598i | −0.898746 | + | 0.303777i | ||||
\(663\) | 0.143335 | + | 0.0621161i | 0.00556667 | + | 0.00241239i | ||||
\(664\) | 11.8834 | − | 9.29294i | 0.461164 | − | 0.360636i | ||||
\(665\) | −29.1831 | − | 23.3325i | −1.13167 | − | 0.904797i | ||||
\(666\) | 5.47446 | + | 39.8866i | 0.212131 | + | 1.54557i | ||||
\(667\) | −39.0175 | + | 53.7030i | −1.51076 | + | 2.07939i | ||||
\(668\) | 9.16937 | − | 30.6613i | 0.354773 | − | 1.18632i | ||||
\(669\) | −23.6011 | + | 26.7418i | −0.912470 | + | 1.03390i | ||||
\(670\) | 14.9709 | − | 4.30191i | 0.578375 | − | 0.166197i | ||||
\(671\) | −13.6822 | + | 9.94067i | −0.528194 | + | 0.383755i | ||||
\(672\) | 17.5074 | + | 26.0084i | 0.675363 | + | 1.00330i | ||||
\(673\) | 2.75025 | + | 8.46439i | 0.106014 | + | 0.326278i | 0.989967 | − | 0.141298i | \(-0.0451274\pi\) |
−0.883953 | + | 0.467576i | \(0.845127\pi\) | |||||||
\(674\) | 27.8722 | − | 20.7566i | 1.07360 | − | 0.799515i | ||||
\(675\) | 1.62077 | − | 25.9302i | 0.0623834 | − | 0.998052i | ||||
\(676\) | −7.14699 | + | 23.8987i | −0.274884 | + | 0.919182i | ||||
\(677\) | −15.6087 | + | 5.07159i | −0.599892 | + | 0.194917i | −0.593192 | − | 0.805061i | \(-0.702133\pi\) |
−0.00669995 | + | 0.999978i | \(0.502133\pi\) | |||||||
\(678\) | 33.5821 | + | 14.0855i | 1.28971 | + | 0.540949i | ||||
\(679\) | −10.8293 | − | 14.9052i | −0.415589 | − | 0.572009i | ||||
\(680\) | −0.454661 | − | 0.640180i | −0.0174354 | − | 0.0245498i | ||||
\(681\) | 9.30430 | + | 8.21154i | 0.356541 | + | 0.314667i | ||||
\(682\) | 1.00151 | + | 1.34484i | 0.0383498 | + | 0.0514966i | ||||
\(683\) | 10.0070 | + | 7.27049i | 0.382906 | + | 0.278198i | 0.762542 | − | 0.646938i | \(-0.223951\pi\) |
−0.379636 | + | 0.925136i | \(0.623951\pi\) | |||||||
\(684\) | −22.3513 | + | 21.9572i | −0.854624 | + | 0.839553i | ||||
\(685\) | 17.6745 | + | 6.65859i | 0.675306 | + | 0.254411i | ||||
\(686\) | 9.84082 | − | 13.8860i | 0.375724 | − | 0.530169i | ||||
\(687\) | −6.19938 | + | 14.3053i | −0.236521 | + | 0.545781i | ||||
\(688\) | 15.2042 | + | 18.9772i | 0.579655 | + | 0.723500i | ||||
\(689\) | 4.26870 | − | 1.38699i | 0.162625 | − | 0.0528399i | ||||
\(690\) | 8.83670 | + | 47.2093i | 0.336408 | + | 1.79723i | ||||
\(691\) | 43.1146 | + | 14.0088i | 1.64016 | + | 0.532919i | 0.976574 | − | 0.215184i | \(-0.0690350\pi\) |
0.663583 | + | 0.748103i | \(0.269035\pi\) | |||||||
\(692\) | −1.65021 | − | 2.16225i | −0.0627316 | − | 0.0821965i | ||||
\(693\) | −8.14152 | + | 42.4370i | −0.309271 | + | 1.61205i | ||||
\(694\) | −14.2497 | + | 0.167951i | −0.540910 | + | 0.00637531i | ||||
\(695\) | 27.5176 | − | 7.55731i | 1.04380 | − | 0.286665i | ||||
\(696\) | −23.5413 | + | 28.6552i | −0.892330 | + | 1.08617i | ||||
\(697\) | −0.269495 | + | 0.195799i | −0.0102078 | + | 0.00741643i | ||||
\(698\) | −36.8628 | − | 26.1242i | −1.39528 | − | 0.988816i | ||||
\(699\) | −3.02365 | + | 31.8085i | −0.114365 | + | 1.20311i | ||||
\(700\) | −31.0393 | + | 7.77594i | −1.17317 | + | 0.293903i | ||||
\(701\) | − | 1.35372i | − | 0.0511291i | −0.999673 | − | 0.0255646i | \(-0.991862\pi\) | ||
0.999673 | − | 0.0255646i | \(-0.00813834\pi\) | |||||||
\(702\) | −3.31481 | − | 4.18451i | −0.125110 | − | 0.157934i | ||||
\(703\) | 29.1273 | + | 40.0903i | 1.09856 | + | 1.51203i | ||||
\(704\) | 8.68032 | − | 34.9490i | 0.327152 | − | 1.31719i | ||||
\(705\) | −3.01087 | + | 6.15322i | −0.113396 | + | 0.231744i | ||||
\(706\) | −0.480660 | − | 40.7813i | −0.0180899 | − | 1.53483i | ||||
\(707\) | −53.4788 | −2.01128 | ||||||||
\(708\) | 1.41660 | − | 0.882456i | 0.0532390 | − | 0.0331647i | ||||
\(709\) | −5.19840 | + | 15.9990i | −0.195230 | + | 0.600856i | 0.804744 | + | 0.593622i | \(0.202303\pi\) |
−0.999974 | + | 0.00723397i | \(0.997697\pi\) | |||||||
\(710\) | 29.4608 | + | 1.01226i | 1.10564 | + | 0.0379893i | ||||
\(711\) | −19.1038 | + | 2.39298i | −0.716450 | + | 0.0897438i | ||||
\(712\) | −0.985693 | − | 27.8665i | −0.0369404 | − | 1.04434i | ||||
\(713\) | 2.19670 | + | 0.713753i | 0.0822672 | + | 0.0267302i | ||||
\(714\) | −0.737133 | − | 0.635263i | −0.0275865 | − | 0.0237741i | ||||
\(715\) | −7.30427 | − | 0.337198i | −0.273164 | − | 0.0126105i | ||||
\(716\) | 4.25609 | + | 2.94151i | 0.159058 | + | 0.109929i | ||||
\(717\) | −16.0506 | − | 14.1655i | −0.599422 | − | 0.529022i | ||||
\(718\) | 10.1409 | − | 7.55199i | 0.378455 | − | 0.281838i | ||||
\(719\) | −13.8410 | − | 10.0561i | −0.516183 | − | 0.375029i | 0.298981 | − | 0.954259i | \(-0.403353\pi\) |
−0.815164 | + | 0.579230i | \(0.803353\pi\) | |||||||
\(720\) | 3.36199 | + | 26.6214i | 0.125294 | + | 0.992120i | ||||
\(721\) | 2.22034 | − | 1.61317i | 0.0826897 | − | 0.0600776i | ||||
\(722\) | −3.48253 | + | 11.1641i | −0.129606 | + | 0.415487i | ||||
\(723\) | −3.81820 | − | 17.1239i | −0.142000 | − | 0.636845i | ||||
\(724\) | −3.89034 | + | 13.0088i | −0.144583 | + | 0.483470i | ||||
\(725\) | −19.3318 | − | 32.5408i | −0.717965 | − | 1.20853i | ||||
\(726\) | 19.3969 | − | 11.7681i | 0.719888 | − | 0.436755i | ||||
\(727\) | 17.7367 | − | 5.76300i | 0.657817 | − | 0.213738i | 0.0389592 | − | 0.999241i | \(-0.487596\pi\) |
0.618858 | + | 0.785503i | \(0.287596\pi\) | |||||||
\(728\) | −3.67415 | + | 5.45245i | −0.136173 | + | 0.202081i | ||||
\(729\) | −26.9519 | + | 1.61037i | −0.998220 | + | 0.0596435i | ||||
\(730\) | 11.9035 | − | 32.7616i | 0.440567 | − | 1.21256i | ||||
\(731\) | −0.610598 | − | 0.443625i | −0.0225838 | − | 0.0164081i | ||||
\(732\) | −4.89226 | + | 12.0605i | −0.180823 | + | 0.445770i | ||||
\(733\) | −19.9770 | − | 14.5141i | −0.737867 | − | 0.536092i | 0.154176 | − | 0.988043i | \(-0.450728\pi\) |
−0.892042 | + | 0.451952i | \(0.850728\pi\) | |||||||
\(734\) | −7.43573 | + | 2.51328i | −0.274458 | + | 0.0927669i | ||||
\(735\) | −11.0838 | + | 5.87519i | −0.408832 | + | 0.216710i | ||||
\(736\) | −18.0804 | − | 46.1919i | −0.666454 | − | 1.70266i | ||||
\(737\) | −21.0875 | − | 6.85174i | −0.776768 | − | 0.252387i | ||||
\(738\) | 11.2778 | − | 1.54788i | 0.415141 | − | 0.0569783i | ||||
\(739\) | −3.68331 | + | 1.19678i | −0.135493 | + | 0.0440243i | −0.375978 | − | 0.926628i | \(-0.622693\pi\) |
0.240486 | + | 0.970653i | \(0.422693\pi\) | |||||||
\(740\) | 42.4275 | + | 0.957337i | 1.55967 | + | 0.0351924i | ||||
\(741\) | −6.02889 | − | 2.61270i | −0.221477 | − | 0.0959798i | ||||
\(742\) | −27.9571 | + | 0.329510i | −1.02634 | + | 0.0120967i | ||||
\(743\) | 15.3603 | 0.563515 | 0.281758 | − | 0.959486i | \(-0.409083\pi\) | ||||
0.281758 | + | 0.959486i | \(0.409083\pi\) | |||||||
\(744\) | 1.20140 | + | 0.470929i | 0.0440456 | + | 0.0172651i | ||||
\(745\) | −0.690645 | + | 14.9605i | −0.0253033 | + | 0.548112i | ||||
\(746\) | 5.76055 | − | 18.4669i | 0.210909 | − | 0.676122i | ||||
\(747\) | 14.4849 | − | 6.79751i | 0.529977 | − | 0.248708i | ||||
\(748\) | 0.0263434 | + | 1.11739i | 0.000963211 | + | 0.0408559i | ||||
\(749\) | 20.1379i | 0.735823i | ||||||||
\(750\) | −26.7178 | − | 6.01341i | −0.975595 | − | 0.219579i | ||||
\(751\) | 39.7874i | 1.45186i | 0.687767 | + | 0.725931i | \(0.258591\pi\) | ||||
−0.687767 | + | 0.725931i | \(0.741409\pi\) | |||||||
\(752\) | 1.86678 | − | 6.82430i | 0.0680744 | − | 0.248857i | ||||
\(753\) | 16.6787 | − | 9.85191i | 0.607804 | − | 0.359024i | ||||
\(754\) | −7.42434 | − | 2.31594i | −0.270378 | − | 0.0843415i | ||||
\(755\) | 0.933776 | − | 20.2272i | 0.0339836 | − | 0.736142i | ||||
\(756\) | 11.9497 | + | 31.0325i | 0.434607 | + | 1.12864i | ||||
\(757\) | 8.72798 | 0.317224 | 0.158612 | − | 0.987341i | \(-0.449298\pi\) | ||||
0.158612 | + | 0.987341i | \(0.449298\pi\) | |||||||
\(758\) | 0.0436230 | + | 3.70117i | 0.00158446 | + | 0.134432i | ||||
\(759\) | 27.1849 | − | 62.7302i | 0.986750 | − | 2.27696i | ||||
\(760\) | 19.1237 | + | 26.9269i | 0.693690 | + | 0.976743i | ||||
\(761\) | 5.76338 | − | 1.87263i | 0.208922 | − | 0.0678829i | −0.202686 | − | 0.979244i | \(-0.564967\pi\) |
0.411608 | + | 0.911361i | \(0.364967\pi\) | |||||||
\(762\) | −33.3293 | + | 7.84504i | −1.20739 | + | 0.284196i | ||||
\(763\) | −8.10250 | − | 2.63266i | −0.293330 | − | 0.0953088i | ||||
\(764\) | −44.4645 | + | 1.04829i | −1.60867 | + | 0.0379257i | ||||
\(765\) | −0.318667 | − | 0.769458i | −0.0115214 | − | 0.0278198i | ||||
\(766\) | 9.29548 | + | 27.5014i | 0.335859 | + | 0.993665i | ||||
\(767\) | 0.283157 | + | 0.205726i | 0.0102242 | + | 0.00742833i | ||||
\(768\) | −8.55088 | − | 26.3606i | −0.308553 | − | 0.951207i | ||||
\(769\) | −36.9023 | − | 26.8111i | −1.33073 | − | 0.966832i | −0.999731 | − | 0.0232007i | \(-0.992614\pi\) |
−0.330999 | − | 0.943631i | \(-0.607386\pi\) | |||||||
\(770\) | 42.8101 | + | 15.5544i | 1.54277 | + | 0.560543i | ||||
\(771\) | 15.1267 | + | 25.6085i | 0.544774 | + | 0.922268i | ||||
\(772\) | −10.2771 | − | 29.2641i | −0.369883 | − | 1.05324i | ||||
\(773\) | 39.1731 | − | 12.7281i | 1.40896 | − | 0.457799i | 0.496883 | − | 0.867818i | \(-0.334478\pi\) |
0.912077 | + | 0.410019i | \(0.134478\pi\) | |||||||
\(774\) | 11.2315 | + | 23.2179i | 0.403707 | + | 0.834549i | ||||
\(775\) | −0.868995 | + | 0.989633i | −0.0312152 | + | 0.0355487i | ||||
\(776\) | 5.57680 | + | 15.3007i | 0.200195 | + | 0.549262i | ||||
\(777\) | 51.3330 | − | 11.4460i | 1.84156 | − | 0.410622i | ||||
\(778\) | −39.8289 | − | 12.4242i | −1.42794 | − | 0.445429i | ||||
\(779\) | 11.3354 | − | 8.23562i | 0.406131 | − | 0.295072i | ||||
\(780\) | −4.90834 | + | 2.75187i | −0.175747 | + | 0.0985328i | ||||
\(781\) | −33.9470 | − | 24.6639i | −1.21472 | − | 0.882544i | ||||
\(782\) | 0.919581 | + | 1.23482i | 0.0328842 | + | 0.0441573i | ||||
\(783\) | −31.1186 | + | 24.0596i | −1.11209 | + | 0.859819i | ||||
\(784\) | 10.1111 | − | 8.10087i | 0.361112 | − | 0.289317i | ||||
\(785\) | 5.66459 | + | 0.261503i | 0.202178 | + | 0.00933343i | ||||
\(786\) | 5.66286 | + | 4.88026i | 0.201987 | + | 0.174073i | ||||
\(787\) | 40.6168 | + | 13.1972i | 1.44783 | + | 0.470430i | 0.924330 | − | 0.381594i | \(-0.124625\pi\) |
0.523504 | + | 0.852023i | \(0.324625\pi\) | |||||||
\(788\) | 15.5634 | − | 22.5188i | 0.554423 | − | 0.802200i | ||||
\(789\) | −4.10528 | − | 18.4114i | −0.146152 | − | 0.655463i | ||||
\(790\) | −0.696900 | + | 20.2826i | −0.0247946 | + | 0.721623i | ||||
\(791\) | 14.7005 | − | 45.2436i | 0.522691 | − | 1.60868i | ||||
\(792\) | 17.2418 | − | 34.0822i | 0.612662 | − | 1.21106i | ||||
\(793\) | −2.72938 | −0.0969233 | ||||||||
\(794\) | 26.7285 | − | 0.315030i | 0.948560 | − | 0.0111800i | ||||
\(795\) | −21.4938 | − | 10.5173i | −0.762306 | − | 0.373009i | ||||
\(796\) | −1.64086 | + | 0.576248i | −0.0581589 | + | 0.0204246i | ||||
\(797\) | 1.12052 | + | 1.54226i | 0.0396907 | + | 0.0546296i | 0.828401 | − | 0.560135i | \(-0.189251\pi\) |
−0.788710 | + | 0.614765i | \(0.789251\pi\) | |||||||
\(798\) | 31.0049 | + | 26.7201i | 1.09756 | + | 0.945882i | ||||
\(799\) | 0.219594i | 0.00776868i | ||||||||
\(800\) | 28.2686 | + | 0.942673i | 0.999444 | + | 0.0333285i | ||||
\(801\) | 5.57240 | − | 29.0457i | 0.196891 | − | 1.02628i | ||||
\(802\) | −16.6430 | + | 23.4842i | −0.587685 | + | 0.829258i | ||||
\(803\) | −40.1414 | + | 29.1644i | −1.41656 | + | 1.02919i | ||||
\(804\) | −16.5623 | + | 4.10502i | −0.584106 | + | 0.144773i | ||||
\(805\) | 60.5019 | − | 16.6160i | 2.13241 | − | 0.585637i | ||||
\(806\) | 0.00318928 | + | 0.270593i | 0.000112338 | + | 0.00953123i | ||||
\(807\) | 1.36616 | − | 14.3719i | 0.0480912 | − | 0.505914i | ||||
\(808\) | 45.4460 | + | 13.0093i | 1.59878 | + | 0.457664i | ||||
\(809\) | −2.80386 | − | 0.911028i | −0.0985784 | − | 0.0320301i | 0.259313 | − | 0.965793i | \(-0.416504\pi\) |
−0.357891 | + | 0.933763i | \(0.616504\pi\) | |||||||
\(810\) | −2.82091 | + | 28.3204i | −0.0991167 | + | 0.995076i | ||||
\(811\) | 40.1270 | − | 13.0380i | 1.40905 | − | 0.457828i | 0.496943 | − | 0.867783i | \(-0.334456\pi\) |
0.912105 | + | 0.409956i | \(0.134456\pi\) | |||||||
\(812\) | 39.8536 | + | 27.5440i | 1.39859 | + | 0.966603i | ||||
\(813\) | −6.16316 | − | 2.67088i | −0.216151 | − | 0.0936720i | ||||
\(814\) | −49.2870 | − | 34.9291i | −1.72751 | − | 1.22426i | ||||
\(815\) | −10.3515 | − | 3.89977i | −0.362597 | − | 0.136603i | ||||
\(816\) | 0.471877 | + | 0.719157i | 0.0165190 | + | 0.0251755i | ||||
\(817\) | 25.6827 | + | 18.6596i | 0.898524 | + | 0.652816i | ||||
\(818\) | −26.7547 | + | 19.9244i | −0.935457 | + | 0.696640i | ||||
\(819\) | −5.08860 | + | 4.76846i | −0.177810 | + | 0.166624i | ||||
\(820\) | 0.270683 | − | 11.9962i | 0.00945267 | − | 0.418926i | ||||
\(821\) | −17.2090 | − | 23.6862i | −0.600600 | − | 0.826655i | 0.395163 | − | 0.918611i | \(-0.370688\pi\) |
−0.995763 | + | 0.0919563i | \(0.970688\pi\) | |||||||
\(822\) | −19.0795 | − | 8.00258i | −0.665473 | − | 0.279122i | ||||
\(823\) | −22.7966 | + | 7.40706i | −0.794639 | + | 0.258194i | −0.678078 | − | 0.734990i | \(-0.737187\pi\) |
−0.116561 | + | 0.993184i | \(0.537187\pi\) | |||||||
\(824\) | −2.27925 | + | 0.830743i | −0.0794014 | + | 0.0289403i | ||||
\(825\) | 26.7270 | + | 28.3783i | 0.930516 | + | 0.988007i | ||||
\(826\) | −1.30221 | − | 1.74862i | −0.0453096 | − | 0.0608423i | ||||
\(827\) | 7.90030 | + | 24.3146i | 0.274720 | + | 0.845503i | 0.989293 | + | 0.145941i | \(0.0466211\pi\) |
−0.714573 | + | 0.699561i | \(0.753379\pi\) | |||||||
\(828\) | −7.76797 | − | 52.0368i | −0.269956 | − | 1.80840i | ||||
\(829\) | 42.0640 | − | 30.5613i | 1.46094 | − | 1.06144i | 0.477829 | − | 0.878453i | \(-0.341424\pi\) |
0.983116 | − | 0.182985i | \(-0.0585761\pi\) | |||||||
\(830\) | −4.65803 | − | 16.2102i | −0.161682 | − | 0.562663i | ||||
\(831\) | 28.6104 | + | 25.2502i | 0.992482 | + | 0.875918i | ||||
\(832\) | 4.44863 | − | 3.73968i | 0.154229 | − | 0.129650i | ||||
\(833\) | −0.236366 | + | 0.325329i | −0.00818958 | + | 0.0112720i | ||||
\(834\) | −30.4286 | + | 7.16227i | −1.05366 | + | 0.248009i | ||||
\(835\) | −27.9464 | − | 22.3438i | −0.967124 | − | 0.773238i | ||||
\(836\) | −1.10805 | − | 46.9992i | −0.0383225 | − | 1.62550i | ||||
\(837\) | 1.13080 | + | 0.771096i | 0.0390860 | + | 0.0266530i | ||||
\(838\) | 12.2063 | + | 36.1133i | 0.421661 | + | 1.24751i | ||||
\(839\) | 8.60351 | + | 26.4789i | 0.297026 | + | 0.914153i | 0.982533 | + | 0.186087i | \(0.0595806\pi\) |
−0.685507 | + | 0.728066i | \(0.740419\pi\) | |||||||
\(840\) | 34.2926 | − | 7.25944i | 1.18321 | − | 0.250475i | ||||
\(841\) | −8.74666 | + | 26.9195i | −0.301609 | + | 0.928257i | ||||
\(842\) | −40.8911 | + | 0.481954i | −1.40920 | + | 0.0166092i | ||||
\(843\) | −2.12512 | + | 22.3560i | −0.0731929 | + | 0.769982i | ||||
\(844\) | 7.36559 | + | 9.65104i | 0.253534 | + | 0.332203i | ||||
\(845\) | 21.7826 | + | 17.4157i | 0.749343 | + | 0.599117i | ||||
\(846\) | 3.54438 | − | 6.61441i | 0.121858 | − | 0.227408i | ||||
\(847\) | −17.4205 | − | 23.9773i | −0.598577 | − | 0.823870i | ||||
\(848\) | 23.8379 | + | 6.52083i | 0.818598 | + | 0.223926i | ||||
\(849\) | 0.591700 | − | 6.22462i | 0.0203071 | − | 0.213628i | ||||
\(850\) | −0.854025 | + | 0.203284i | −0.0292928 | + | 0.00697257i | ||||
\(851\) | −83.2125 | −2.85249 | ||||||||
\(852\) | −32.2099 | − | 2.29728i | −1.10349 | − | 0.0787036i | ||||
\(853\) | 38.6561 | − | 28.0853i | 1.32356 | − | 0.961623i | 0.323680 | − | 0.946167i | \(-0.395080\pi\) |
0.999881 | − | 0.0154562i | \(-0.00492005\pi\) | |||||||
\(854\) | 16.2306 | + | 5.06295i | 0.555399 | + | 0.173250i | ||||
\(855\) | 13.4036 | + | 32.3646i | 0.458394 | + | 1.10685i | ||||
\(856\) | 4.89875 | − | 17.1131i | 0.167436 | − | 0.584913i | ||||
\(857\) | 29.2607i | 0.999528i | 0.866162 | + | 0.499764i | \(0.166580\pi\) | ||||
−0.866162 | + | 0.499764i | \(0.833420\pi\) | |||||||
\(858\) | 7.98239 | + | 0.663964i | 0.272514 | + | 0.0226673i | ||||
\(859\) | 11.1170 | + | 3.61213i | 0.379307 | + | 0.123244i | 0.492464 | − | 0.870333i | \(-0.336096\pi\) |
−0.113157 | + | 0.993577i | \(0.536096\pi\) | |||||||
\(860\) | 26.0392 | − | 7.81581i | 0.887930 | − | 0.266517i | ||||
\(861\) | −3.23630 | − | 14.5142i | −0.110293 | − | 0.494643i | ||||
\(862\) | 6.56255 | + | 19.4158i | 0.223521 | + | 0.661305i | ||||
\(863\) | −11.0832 | + | 34.1107i | −0.377278 | + | 1.16114i | 0.564652 | + | 0.825329i | \(0.309011\pi\) |
−0.941929 | + | 0.335812i | \(0.890989\pi\) | |||||||
\(864\) | −2.60581 | − | 29.2781i | −0.0886516 | − | 0.996063i | ||||
\(865\) | −2.93250 | + | 0.805369i | −0.0997079 | + | 0.0273834i | ||||
\(866\) | 0.903671 | + | 2.67358i | 0.0307080 | + | 0.0908519i | ||||
\(867\) | 22.0567 | + | 19.4662i | 0.749084 | + | 0.661106i | ||||
\(868\) | 0.482978 | − | 1.61502i | 0.0163933 | − | 0.0548175i | ||||
\(869\) | 16.9802 | − | 23.3712i | 0.576013 | − | 0.792814i | ||||
\(870\) | 19.8491 | + | 36.4027i | 0.672946 | + | 1.23417i | ||||
\(871\) | −2.10332 | − | 2.89497i | −0.0712683 | − | 0.0980923i | ||||
\(872\) | 6.24503 | + | 4.20824i | 0.211484 | + | 0.142509i | ||||
\(873\) | 2.14689 | + | 17.1392i | 0.0726612 | + | 0.580075i | ||||
\(874\) | −38.6790 | − | 51.9386i | −1.30834 | − | 1.75685i | ||||
\(875\) | −4.93534 | + | 35.4333i | −0.166845 | + | 1.19786i | ||||
\(876\) | −14.3531 | + | 35.3837i | −0.484948 | + | 1.19551i | ||||
\(877\) | −7.68381 | − | 23.6483i | −0.259464 | − | 0.798548i | −0.992917 | − | 0.118808i | \(-0.962093\pi\) |
0.733453 | − | 0.679740i | \(-0.237907\pi\) | |||||||
\(878\) | 49.1273 | + | 15.3247i | 1.65796 | + | 0.517184i | ||||
\(879\) | −21.1350 | − | 35.7803i | −0.712867 | − | 1.20684i | ||||
\(880\) | −32.5960 | − | 23.6321i | −1.09881 | − | 0.796637i | ||||
\(881\) | 8.22927 | − | 11.3266i | 0.277251 | − | 0.381604i | −0.647570 | − | 0.762006i | \(-0.724215\pi\) |
0.924821 | + | 0.380403i | \(0.124215\pi\) | |||||||
\(882\) | 12.3706 | − | 5.98418i | 0.416539 | − | 0.201498i | ||||
\(883\) | 18.7116 | − | 25.7543i | 0.629695 | − | 0.866701i | −0.368318 | − | 0.929700i | \(-0.620066\pi\) |
0.998014 | + | 0.0629986i | \(0.0200664\pi\) | |||||||
\(884\) | −0.102557 | + | 0.148391i | −0.00344937 | + | 0.00499092i | ||||
\(885\) | −0.321673 | − | 1.83804i | −0.0108129 | − | 0.0617849i | ||||
\(886\) | −3.62344 | − | 2.56789i | −0.121732 | − | 0.0862699i | ||||
\(887\) | 9.59126 | − | 29.5189i | 0.322043 | − | 0.991146i | −0.650715 | − | 0.759322i | \(-0.725531\pi\) |
0.972758 | − | 0.231824i | \(-0.0744693\pi\) | |||||||
\(888\) | −46.4068 | − | 2.76056i | −1.55731 | − | 0.0926383i | ||||
\(889\) | 13.8220 | + | 42.5398i | 0.463575 | + | 1.42674i | ||||
\(890\) | −29.3011 | − | 10.6461i | −0.982174 | − | 0.356859i | ||||
\(891\) | 25.8890 | − | 31.1608i | 0.867314 | − | 1.04393i | ||||
\(892\) | −24.9863 | − | 32.7393i | −0.836604 | − | 1.09619i | ||||
\(893\) | − | 9.23647i | − | 0.309087i | ||||||
\(894\) | 1.35992 | − | 16.3495i | 0.0454827 | − | 0.546807i | ||||
\(895\) | 4.83144 | − | 3.18053i | 0.161497 | − | 0.106313i | ||||
\(896\) | −33.3913 | + | 13.9863i | −1.11552 | + | 0.467250i | ||||
\(897\) | 9.50003 | − | 5.61156i | 0.317197 | − | 0.187365i | ||||
\(898\) | 34.2420 | − | 48.3175i | 1.14267 | − | 1.61238i | ||||
\(899\) | 1.99396 | 0.0665022 | ||||||||
\(900\) | 29.0052 | + | 7.66133i | 0.966841 | + | 0.255378i | ||||
\(901\) | −0.767063 | −0.0255546 | ||||||||
\(902\) | −9.87605 | + | 13.9357i | −0.328837 | + | 0.464008i | ||||
\(903\) | 29.0097 | − | 17.1357i | 0.965381 | − | 0.570240i | ||||
\(904\) | −23.4984 | + | 34.8717i | −0.781544 | + | 1.15981i | ||||
\(905\) | 11.8570 | + | 9.47991i | 0.394138 | + | 0.315123i | ||||
\(906\) | −1.83866 | + | 22.1050i | −0.0610855 | + | 0.734390i | ||||
\(907\) | − | 43.7143i | − | 1.45151i | −0.687954 | − | 0.725755i | \(-0.741491\pi\) | ||
0.687954 | − | 0.725755i | \(-0.258509\pi\) | |||||||
\(908\) | −11.3910 | + | 8.69352i | −0.378024 | + | 0.288504i | ||||
\(909\) | 43.9115 | + | 24.2007i | 1.45645 | + | 0.802687i | ||||
\(910\) | 4.11398 | + | 6.09186i | 0.136377 | + | 0.201943i | ||||
\(911\) | 5.33085 | + | 16.4067i | 0.176619 | + | 0.543577i | 0.999704 | − | 0.0243413i | \(-0.00774884\pi\) |
−0.823085 | + | 0.567919i | \(0.807749\pi\) | |||||||
\(912\) | −19.8479 | − | 30.2489i | −0.657229 | − | 1.00164i | ||||
\(913\) | −7.41893 | + | 22.8331i | −0.245531 | + | 0.755666i | ||||
\(914\) | 32.8802 | + | 23.3018i | 1.08758 | + | 0.770756i | ||||
\(915\) | 10.4543 | + | 10.1215i | 0.345610 | + | 0.334606i | ||||
\(916\) | −14.8099 | − | 10.2355i | −0.489332 | − | 0.338191i | ||||
\(917\) | 5.74010 | − | 7.90057i | 0.189555 | − | 0.260900i | ||||
\(918\) | 0.317786 | + | 0.855189i | 0.0104885 | + | 0.0282255i | ||||
\(919\) | −3.95449 | + | 5.44289i | −0.130447 | + | 0.179545i | −0.869244 | − | 0.494383i | \(-0.835394\pi\) |
0.738797 | + | 0.673928i | \(0.235394\pi\) | |||||||
\(920\) | −55.4562 | − | 0.597535i | −1.82834 | − | 0.0197001i | ||||
\(921\) | 27.5071 | + | 46.5678i | 0.906391 | + | 1.53446i | ||||
\(922\) | 5.98820 | + | 1.86795i | 0.197211 | + | 0.0615177i | ||||
\(923\) | −2.09264 | − | 6.44047i | −0.0688799 | − | 0.211991i | ||||
\(924\) | −46.2365 | − | 18.7555i | −1.52107 | − | 0.617010i | ||||
\(925\) | 18.7572 | − | 43.5825i | 0.616734 | − | 1.43298i | ||||
\(926\) | 23.8130 | + | 31.9764i | 0.782545 | + | 1.05081i | ||||
\(927\) | −2.55313 | + | 0.319810i | −0.0838558 | + | 0.0105039i | ||||
\(928\) | −27.1670 | − | 33.1015i | −0.891800 | − | 1.08661i | ||||
\(929\) | 26.7703 | + | 36.8461i | 0.878304 | + | 1.20888i | 0.976888 | + | 0.213753i | \(0.0685687\pi\) |
−0.0985841 | + | 0.995129i | \(0.531431\pi\) | |||||||
\(930\) | 0.991235 | − | 1.04828i | 0.0325039 | − | 0.0343743i | ||||
\(931\) | 9.94190 | − | 13.6839i | 0.325833 | − | 0.448470i | ||||
\(932\) | −35.3481 | − | 10.5709i | −1.15786 | − | 0.346263i | ||||
\(933\) | −3.79720 | − | 3.35123i | −0.124315 | − | 0.109714i | ||||
\(934\) | −3.29620 | − | 9.75207i | −0.107855 | − | 0.319097i | ||||
\(935\) | 1.16940 | + | 0.440552i | 0.0382433 | + | 0.0144076i | ||||
\(936\) | 5.48424 | − | 2.81436i | 0.179258 | − | 0.0919901i | ||||
\(937\) | 12.8208 | − | 39.4584i | 0.418837 | − | 1.28905i | −0.489936 | − | 0.871758i | \(-0.662980\pi\) |
0.908773 | − | 0.417290i | \(-0.137020\pi\) | |||||||
\(938\) | 7.13751 | + | 21.1169i | 0.233048 | + | 0.689490i | ||||
\(939\) | −9.46229 | − | 42.4366i | −0.308790 | − | 1.38487i | ||||
\(940\) | −6.29291 | − | 4.79263i | −0.205252 | − | 0.156318i | ||||
\(941\) | 29.8252 | + | 9.69078i | 0.972273 | + | 0.315911i | 0.751733 | − | 0.659468i | \(-0.229218\pi\) |
0.220540 | + | 0.975378i | \(0.429218\pi\) | |||||||
\(942\) | −6.19048 | − | 0.514915i | −0.201697 | − | 0.0167768i | ||||
\(943\) | 23.5280i | 0.766177i | ||||||||
\(944\) | 0.681239 | + | 1.80274i | 0.0221724 | + | 0.0586743i | ||||
\(945\) | 37.1739 | + | 0.605699i | 1.20927 | + | 0.0197034i | ||||
\(946\) | −36.9436 | − | 11.5241i | −1.20114 | − | 0.374682i | ||||
\(947\) | 5.79161 | − | 4.20785i | 0.188202 | − | 0.136737i | −0.489695 | − | 0.871894i | \(-0.662892\pi\) |
0.677897 | + | 0.735157i | \(0.262892\pi\) | |||||||
\(948\) | 1.58159 | − | 22.1753i | 0.0513678 | − | 0.720219i | ||||
\(949\) | −8.00760 | −0.259938 | ||||||||
\(950\) | 35.9216 | − | 8.55042i | 1.16545 | − | 0.277412i | ||||
\(951\) | −0.506268 | + | 5.32589i | −0.0164169 | + | 0.172704i | ||||
\(952\) | 0.885128 | − | 0.692180i | 0.0286872 | − | 0.0224337i | ||||
\(953\) | −16.6462 | − | 22.9115i | −0.539223 | − | 0.742177i | 0.449278 | − | 0.893392i | \(-0.351681\pi\) |
−0.988501 | + | 0.151215i | \(0.951681\pi\) | |||||||
\(954\) | 23.1047 | + | 12.3808i | 0.748044 | + | 0.400845i | ||||
\(955\) | −17.5309 | + | 46.5339i | −0.567288 | + | 1.50580i | ||||
\(956\) | 19.6504 | − | 14.9970i | 0.635539 | − | 0.485038i | ||||
\(957\) | 5.58515 | − | 58.7552i | 0.180542 | − | 1.89928i | ||||
\(958\) | 18.2902 | − | 0.215573i | 0.590929 | − | 0.00696486i | ||||
\(959\) | −8.35203 | + | 25.7049i | −0.269701 | + | 0.830055i | ||||
\(960\) | −30.9076 | − | 2.17299i | −0.997538 | − | 0.0701329i | ||||
\(961\) | 9.55809 | + | 29.4168i | 0.308325 | + | 0.948928i | ||||
\(962\) | −3.12174 | − | 9.23590i | −0.100649 | − | 0.297777i | ||||
\(963\) | 9.11299 | − | 16.5353i | 0.293662 | − | 0.532842i | ||||
\(964\) | 20.2529 | − | 0.477480i | 0.652303 | − | 0.0153786i | ||||
\(965\) | −34.6404 | − | 1.59915i | −1.11511 | − | 0.0514786i | ||||
\(966\) | −66.9022 | + | 15.7474i | −2.15254 | + | 0.506665i | ||||
\(967\) | −11.2499 | + | 15.4841i | −0.361772 | + | 0.497936i | −0.950641 | − | 0.310292i | \(-0.899573\pi\) |
0.588869 | + | 0.808228i | \(0.299573\pi\) | |||||||
\(968\) | 8.97114 | + | 24.6135i | 0.288343 | + | 0.791108i | ||||
\(969\) | 0.841929 | + | 0.743047i | 0.0270467 | + | 0.0238701i | ||||
\(970\) | 18.1968 | + | 0.625232i | 0.584264 | + | 0.0200750i | ||||
\(971\) | 38.0150 | − | 27.6195i | 1.21996 | − | 0.886352i | 0.223862 | − | 0.974621i | \(-0.428133\pi\) |
0.996097 | + | 0.0882688i | \(0.0281334\pi\) | |||||||
\(972\) | 4.23119 | − | 30.8885i | 0.135715 | − | 0.990748i | ||||
\(973\) | 12.6191 | + | 38.8375i | 0.404548 | + | 1.24507i | ||||
\(974\) | −30.7099 | − | 41.2377i | −0.984010 | − | 1.32134i | ||||
\(975\) | 0.797617 | + | 6.24055i | 0.0255442 | + | 0.199858i | ||||
\(976\) | −12.5610 | − | 8.25071i | −0.402069 | − | 0.264099i | ||||
\(977\) | −9.16887 | + | 2.97915i | −0.293338 | + | 0.0953113i | −0.451989 | − | 0.892023i | \(-0.649285\pi\) |
0.158651 | + | 0.987335i | \(0.449285\pi\) | |||||||
\(978\) | 11.1744 | + | 4.68692i | 0.357317 | + | 0.149871i | ||||
\(979\) | 26.0838 | + | 35.9013i | 0.833642 | + | 1.14741i | ||||
\(980\) | −4.16430 | − | 13.8738i | −0.133024 | − | 0.443183i | ||||
\(981\) | 5.46162 | + | 5.82830i | 0.174376 | + | 0.186083i | ||||
\(982\) | −8.35940 | + | 6.22530i | −0.266759 | + | 0.198657i | ||||
\(983\) | 14.0537 | + | 10.2106i | 0.448243 | + | 0.325668i | 0.788902 | − | 0.614519i | \(-0.210650\pi\) |
−0.340658 | + | 0.940187i | \(0.610650\pi\) | |||||||
\(984\) | −0.780537 | + | 13.1213i | −0.0248826 | + | 0.418293i | ||||
\(985\) | −16.8280 | − | 25.5629i | −0.536186 | − | 0.814502i | ||||
\(986\) | 1.08441 | + | 0.768509i | 0.0345347 | + | 0.0244743i | ||||
\(987\) | −8.99467 | − | 3.89796i | −0.286304 | − | 0.124073i | ||||
\(988\) | 4.31371 | − | 6.24154i | 0.137237 | − | 0.198570i | ||||
\(989\) | −50.6987 | + | 16.4730i | −1.61212 | + | 0.523811i | ||||
\(990\) | −28.1127 | − | 32.1446i | −0.893479 | − | 1.02162i | ||||
\(991\) | −11.4909 | − | 3.73363i | −0.365022 | − | 0.118603i | 0.120763 | − | 0.992681i | \(-0.461466\pi\) |
−0.485784 | + | 0.874079i | \(0.661466\pi\) | |||||||
\(992\) | −0.803303 | + | 1.25495i | −0.0255049 | + | 0.0398447i | ||||
\(993\) | 2.82903 | − | 29.7611i | 0.0897765 | − | 0.944439i | ||||
\(994\) | 0.497154 | + | 42.1807i | 0.0157688 | + | 1.33789i | ||||
\(995\) | −0.0896658 | + | 1.94231i | −0.00284260 | + | 0.0615755i | ||||
\(996\) | 4.44483 | + | 17.9333i | 0.140840 | + | 0.568239i | ||||
\(997\) | 13.8648 | − | 10.0734i | 0.439103 | − | 0.319027i | −0.346176 | − | 0.938170i | \(-0.612520\pi\) |
0.785278 | + | 0.619143i | \(0.212520\pi\) | |||||||
\(998\) | 16.5877 | − | 23.4062i | 0.525073 | − | 0.740909i | ||||
\(999\) | −47.3293 | − | 13.8314i | −1.49743 | − | 0.437605i |
(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 | 300.2.n.a.131.11 | yes | 224 | |
3.2 | odd | 2 | inner | 300.2.n.a.131.46 | yes | 224 | |
4.3 | odd | 2 | inner | 300.2.n.a.131.22 | yes | 224 | |
12.11 | even | 2 | inner | 300.2.n.a.131.35 | yes | 224 | |
25.21 | even | 5 | inner | 300.2.n.a.71.35 | yes | 224 | |
75.71 | odd | 10 | inner | 300.2.n.a.71.22 | yes | 224 | |
100.71 | odd | 10 | inner | 300.2.n.a.71.46 | yes | 224 | |
300.71 | even | 10 | inner | 300.2.n.a.71.11 | ✓ | 224 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
300.2.n.a.71.11 | ✓ | 224 | 300.71 | even | 10 | inner | |
300.2.n.a.71.22 | yes | 224 | 75.71 | odd | 10 | inner | |
300.2.n.a.71.35 | yes | 224 | 25.21 | even | 5 | inner | |
300.2.n.a.71.46 | yes | 224 | 100.71 | odd | 10 | inner | |
300.2.n.a.131.11 | yes | 224 | 1.1 | even | 1 | trivial | |
300.2.n.a.131.22 | yes | 224 | 4.3 | odd | 2 | inner | |
300.2.n.a.131.35 | yes | 224 | 12.11 | even | 2 | inner | |
300.2.n.a.131.46 | yes | 224 | 3.2 | odd | 2 | inner |