Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [177,2,Mod(2,177)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(177, base_ring=CyclotomicField(58))
chi = DirichletCharacter(H, H._module([29, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("177.2");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 177 = 3 \cdot 59 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 177.f (of order \(58\), degree \(28\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.41335211578\) |
Analytic rank: | \(0\) |
Dimension: | \(504\) |
Relative dimension: | \(18\) over \(\Q(\zeta_{58})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{58}]$ |
Embedding invariants
Embedding label | 98.6 | ||
Character | \(\chi\) | \(=\) | 177.98 |
Dual form | 177.2.f.a.56.6 |
$q$-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 \(\left(\mathbb{Z}/177\mathbb{Z}\right)^\times\).
\(n\) | \(61\) | \(119\) |
\(\chi(n)\) | \(e\left(\frac{37}{58}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.03012 | − | 0.476584i | −0.728404 | − | 0.336996i | 0.0203954 | − | 0.999792i | \(-0.493507\pi\) |
−0.748800 | + | 0.662796i | \(0.769370\pi\) | |||||||
\(3\) | 1.26707 | − | 1.18090i | 0.731544 | − | 0.681795i | ||||
\(4\) | −0.460759 | − | 0.542447i | −0.230379 | − | 0.271224i | ||||
\(5\) | −0.173815 | − | 0.288882i | −0.0777323 | − | 0.129192i | 0.815553 | − | 0.578683i | \(-0.196433\pi\) |
−0.893285 | + | 0.449491i | \(0.851605\pi\) | |||||||
\(6\) | −1.86803 | + | 0.612606i | −0.762621 | + | 0.250095i | ||||
\(7\) | −0.0891705 | − | 1.64465i | −0.0337033 | − | 0.621620i | −0.965781 | − | 0.259361i | \(-0.916488\pi\) |
0.932077 | − | 0.362260i | \(-0.117995\pi\) | |||||||
\(8\) | 0.823417 | + | 2.96568i | 0.291122 | + | 1.04853i | ||||
\(9\) | 0.210936 | − | 2.99258i | 0.0703120 | − | 0.997525i | ||||
\(10\) | 0.0413732 | + | 0.380421i | 0.0130834 | + | 0.120300i | ||||
\(11\) | −0.710932 | − | 4.33649i | −0.214354 | − | 1.30750i | −0.846390 | − | 0.532563i | \(-0.821229\pi\) |
0.632036 | − | 0.774939i | \(-0.282219\pi\) | |||||||
\(12\) | −1.22439 | − | 0.143207i | −0.353451 | − | 0.0413404i | ||||
\(13\) | −3.33415 | + | 4.38599i | −0.924726 | + | 1.21646i | 0.0512739 | + | 0.998685i | \(0.483672\pi\) |
−0.976000 | + | 0.217771i | \(0.930121\pi\) | |||||||
\(14\) | −0.691959 | + | 1.73669i | −0.184934 | + | 0.464149i | ||||
\(15\) | −0.561378 | − | 0.160776i | −0.144947 | − | 0.0415122i | ||||
\(16\) | 0.334890 | − | 2.04274i | 0.0837225 | − | 0.510685i | ||||
\(17\) | 4.91361 | + | 0.266408i | 1.19173 | + | 0.0646135i | 0.639306 | − | 0.768952i | \(-0.279222\pi\) |
0.552420 | + | 0.833566i | \(0.313704\pi\) | |||||||
\(18\) | −1.64350 | + | 2.98218i | −0.387377 | + | 0.702907i | ||||
\(19\) | −3.01127 | − | 2.85243i | −0.690833 | − | 0.654392i | 0.259458 | − | 0.965754i | \(-0.416456\pi\) |
−0.950291 | + | 0.311362i | \(0.899215\pi\) | |||||||
\(20\) | −0.0766168 | + | 0.227391i | −0.0171320 | + | 0.0508461i | ||||
\(21\) | −2.05516 | − | 1.97859i | −0.448473 | − | 0.431764i | ||||
\(22\) | −1.33436 | + | 4.80592i | −0.284486 | + | 1.02463i | ||||
\(23\) | 0.795326 | + | 0.175064i | 0.165837 | + | 0.0365035i | 0.297113 | − | 0.954842i | \(-0.403976\pi\) |
−0.131276 | + | 0.991346i | \(0.541907\pi\) | |||||||
\(24\) | 4.54551 | + | 2.78535i | 0.927848 | + | 0.568557i | ||||
\(25\) | 2.28880 | − | 4.31714i | 0.457760 | − | 0.863427i | ||||
\(26\) | 5.52486 | − | 2.92910i | 1.08351 | − | 0.574443i | ||||
\(27\) | −3.26667 | − | 4.04090i | −0.628671 | − | 0.777671i | ||||
\(28\) | −0.851052 | + | 0.806159i | −0.160834 | + | 0.152350i | ||||
\(29\) | 0.998316 | + | 2.15782i | 0.185383 | + | 0.400698i | 0.977877 | − | 0.209181i | \(-0.0670799\pi\) |
−0.792494 | + | 0.609879i | \(0.791218\pi\) | |||||||
\(30\) | 0.501663 | + | 0.433162i | 0.0915907 | + | 0.0790842i | ||||
\(31\) | 2.90901 | + | 3.07101i | 0.522474 | + | 0.551569i | 0.932812 | − | 0.360364i | \(-0.117348\pi\) |
−0.410337 | + | 0.911934i | \(0.634589\pi\) | |||||||
\(32\) | 2.13601 | − | 3.15037i | 0.377596 | − | 0.556912i | ||||
\(33\) | −6.02178 | − | 4.65510i | −1.04826 | − | 0.810349i | ||||
\(34\) | −4.93464 | − | 2.61618i | −0.846284 | − | 0.448672i | ||||
\(35\) | −0.459612 | + | 0.311625i | −0.0776886 | + | 0.0526742i | ||||
\(36\) | −1.72051 | + | 1.26443i | −0.286751 | + | 0.210739i | ||||
\(37\) | 6.35326 | + | 1.76397i | 1.04447 | + | 0.289995i | 0.747061 | − | 0.664755i | \(-0.231464\pi\) |
0.297408 | + | 0.954751i | \(0.403878\pi\) | |||||||
\(38\) | 1.74255 | + | 4.37347i | 0.282679 | + | 0.709470i | ||||
\(39\) | 0.954835 | + | 9.49467i | 0.152896 | + | 1.52036i | ||||
\(40\) | 0.713611 | − | 0.753350i | 0.112832 | − | 0.119115i | ||||
\(41\) | 2.11729 | + | 9.61894i | 0.330665 | + | 1.50223i | 0.789526 | + | 0.613718i | \(0.210327\pi\) |
−0.458861 | + | 0.888508i | \(0.651742\pi\) | |||||||
\(42\) | 1.17410 | + | 3.01764i | 0.181167 | + | 0.465632i | ||||
\(43\) | 3.82017 | + | 0.626285i | 0.582570 | + | 0.0955076i | 0.445859 | − | 0.895103i | \(-0.352898\pi\) |
0.136712 | + | 0.990611i | \(0.456347\pi\) | |||||||
\(44\) | −2.02475 | + | 2.38372i | −0.305243 | + | 0.359359i | ||||
\(45\) | −0.901166 | + | 0.459218i | −0.134338 | + | 0.0684562i | ||||
\(46\) | −0.735848 | − | 0.559377i | −0.108495 | − | 0.0824756i | ||||
\(47\) | 7.13104 | + | 4.29060i | 1.04017 | + | 0.625849i | 0.929809 | − | 0.368043i | \(-0.119972\pi\) |
0.110360 | + | 0.993892i | \(0.464800\pi\) | |||||||
\(48\) | −1.98795 | − | 2.98377i | −0.286936 | − | 0.430670i | ||||
\(49\) | 4.26203 | − | 0.463524i | 0.608862 | − | 0.0662177i | ||||
\(50\) | −4.41522 | + | 3.35636i | −0.624406 | + | 0.474661i | ||||
\(51\) | 6.54050 | − | 5.46494i | 0.915853 | − | 0.765245i | ||||
\(52\) | 3.91541 | − | 0.212287i | 0.542970 | − | 0.0294390i | ||||
\(53\) | 0.763118 | − | 7.01676i | 0.104822 | − | 0.963826i | −0.817112 | − | 0.576479i | \(-0.804426\pi\) |
0.921934 | − | 0.387347i | \(-0.126608\pi\) | |||||||
\(54\) | 1.43923 | + | 5.71945i | 0.195855 | + | 0.778319i | ||||
\(55\) | −1.12917 | + | 0.959122i | −0.152257 | + | 0.129328i | ||||
\(56\) | 4.80409 | − | 1.61869i | 0.641973 | − | 0.216306i | ||||
\(57\) | −7.18394 | − | 0.0582080i | −0.951536 | − | 0.00770984i | ||||
\(58\) | − | 2.69860i | − | 0.354343i | ||||||
\(59\) | −6.99170 | + | 3.18058i | −0.910242 | + | 0.414076i | ||||
\(60\) | 0.171447 | + | 0.378597i | 0.0221337 | + | 0.0488766i | ||||
\(61\) | −3.49065 | + | 7.54492i | −0.446932 | + | 0.966028i | 0.544902 | + | 0.838499i | \(0.316567\pi\) |
−0.991835 | + | 0.127529i | \(0.959295\pi\) | |||||||
\(62\) | −1.53304 | − | 4.54989i | −0.194696 | − | 0.577837i | ||||
\(63\) | −4.94056 | − | 0.0800672i | −0.622452 | − | 0.0100875i | ||||
\(64\) | −7.24916 | + | 4.36168i | −0.906145 | + | 0.545209i | ||||
\(65\) | 1.84656 | + | 0.200826i | 0.229038 | + | 0.0249094i | ||||
\(66\) | 3.98460 | + | 7.66519i | 0.490471 | + | 0.943520i | ||||
\(67\) | 1.07167 | − | 0.297548i | 0.130926 | − | 0.0363513i | −0.201447 | − | 0.979499i | \(-0.564565\pi\) |
0.332373 | + | 0.943148i | \(0.392151\pi\) | |||||||
\(68\) | −2.11948 | − | 2.78813i | −0.257025 | − | 0.338110i | ||||
\(69\) | 1.21447 | − | 0.717384i | 0.146205 | − | 0.0863629i | ||||
\(70\) | 0.621971 | − | 0.101967i | 0.0743397 | − | 0.0121874i | ||||
\(71\) | 5.04732 | − | 8.38870i | 0.599006 | − | 0.995556i | −0.397936 | − | 0.917413i | \(-0.630273\pi\) |
0.996942 | − | 0.0781428i | \(-0.0248990\pi\) | |||||||
\(72\) | 9.04871 | − | 1.83857i | 1.06640 | − | 0.216677i | ||||
\(73\) | −7.66707 | − | 3.05484i | −0.897363 | − | 0.357542i | −0.124578 | − | 0.992210i | \(-0.539758\pi\) |
−0.772785 | + | 0.634668i | \(0.781137\pi\) | |||||||
\(74\) | −5.70393 | − | 4.84496i | −0.663068 | − | 0.563215i | ||||
\(75\) | −2.19805 | − | 8.17297i | −0.253809 | − | 0.943733i | ||||
\(76\) | −0.159822 | + | 2.94774i | −0.0183328 | + | 0.338129i | ||||
\(77\) | −7.06863 | + | 1.55592i | −0.805545 | + | 0.177314i | ||||
\(78\) | 3.54141 | − | 10.2357i | 0.400986 | − | 1.15897i | ||||
\(79\) | 3.48533 | + | 1.17434i | 0.392130 | + | 0.132124i | 0.508458 | − | 0.861087i | \(-0.330216\pi\) |
−0.116328 | + | 0.993211i | \(0.537112\pi\) | |||||||
\(80\) | −0.648320 | + | 0.258314i | −0.0724844 | + | 0.0288804i | ||||
\(81\) | −8.91101 | − | 1.26248i | −0.990112 | − | 0.140276i | ||||
\(82\) | 2.40317 | − | 10.9177i | 0.265386 | − | 1.20566i | ||||
\(83\) | −5.28776 | − | 7.79886i | −0.580407 | − | 0.856036i | 0.418224 | − | 0.908344i | \(-0.362653\pi\) |
−0.998631 | + | 0.0523081i | \(0.983342\pi\) | |||||||
\(84\) | −0.126347 | + | 2.02647i | −0.0137856 | + | 0.221106i | ||||
\(85\) | −0.777098 | − | 1.46576i | −0.0842881 | − | 0.158984i | ||||
\(86\) | −3.63675 | − | 2.46578i | −0.392161 | − | 0.265892i | ||||
\(87\) | 3.81312 | + | 1.55520i | 0.408809 | + | 0.166735i | ||||
\(88\) | 12.2753 | − | 5.67914i | 1.30855 | − | 0.605398i | ||||
\(89\) | −11.1072 | + | 5.13874i | −1.17736 | + | 0.544705i | −0.908260 | − | 0.418406i | \(-0.862589\pi\) |
−0.269101 | + | 0.963112i | \(0.586727\pi\) | |||||||
\(90\) | 1.14716 | − | 0.0435681i | 0.120922 | − | 0.00459248i | ||||
\(91\) | 7.51075 | + | 5.09241i | 0.787340 | + | 0.533830i | ||||
\(92\) | −0.271490 | − | 0.512085i | −0.0283048 | − | 0.0533885i | ||||
\(93\) | 7.31249 | + | 0.455922i | 0.758270 | + | 0.0472769i | ||||
\(94\) | −5.30099 | − | 7.81837i | −0.546755 | − | 0.806404i | ||||
\(95\) | −0.300613 | + | 1.36570i | −0.0308422 | + | 0.140118i | ||||
\(96\) | −1.01381 | − | 6.51416i | −0.103472 | − | 0.664849i | ||||
\(97\) | 10.5239 | − | 4.19310i | 1.06854 | − | 0.425744i | 0.231469 | − | 0.972842i | \(-0.425647\pi\) |
0.837069 | + | 0.547098i | \(0.184267\pi\) | |||||||
\(98\) | −4.61131 | − | 1.55373i | −0.465813 | − | 0.156951i | ||||
\(99\) | −13.1272 | + | 1.21279i | −1.31934 | + | 0.121890i | ||||
\(100\) | −3.39640 | + | 0.747605i | −0.339640 | + | 0.0747605i | ||||
\(101\) | −0.399493 | + | 7.36822i | −0.0397510 | + | 0.733165i | 0.908934 | + | 0.416941i | \(0.136898\pi\) |
−0.948685 | + | 0.316224i | \(0.897585\pi\) | |||||||
\(102\) | −9.34200 | + | 2.51245i | −0.924996 | + | 0.248769i | ||||
\(103\) | −7.57577 | − | 6.43491i | −0.746463 | − | 0.634051i | 0.191219 | − | 0.981547i | \(-0.438756\pi\) |
−0.937681 | + | 0.347496i | \(0.887032\pi\) | |||||||
\(104\) | −15.7528 | − | 6.27651i | −1.54469 | − | 0.615462i | ||||
\(105\) | −0.214362 | + | 0.937608i | −0.0209196 | + | 0.0915012i | ||||
\(106\) | −4.13018 | + | 6.86441i | −0.401158 | + | 0.666730i | ||||
\(107\) | 5.41219 | − | 0.887283i | 0.523216 | − | 0.0857769i | 0.105614 | − | 0.994407i | \(-0.466319\pi\) |
0.417601 | + | 0.908630i | \(0.362871\pi\) | |||||||
\(108\) | −0.686828 | + | 3.63388i | −0.0660900 | + | 0.349670i | ||||
\(109\) | −2.13151 | − | 2.80396i | −0.204162 | − | 0.268570i | 0.682605 | − | 0.730788i | \(-0.260847\pi\) |
−0.886767 | + | 0.462217i | \(0.847054\pi\) | |||||||
\(110\) | 1.62028 | − | 0.449868i | 0.154487 | − | 0.0428932i | ||||
\(111\) | 10.1331 | − | 5.26750i | 0.961792 | − | 0.499969i | ||||
\(112\) | −3.38946 | − | 0.368626i | −0.320274 | − | 0.0348319i | ||||
\(113\) | −0.642948 | + | 0.386849i | −0.0604835 | + | 0.0363917i | −0.545474 | − | 0.838127i | \(-0.683650\pi\) |
0.484991 | + | 0.874519i | \(0.338823\pi\) | |||||||
\(114\) | 7.37257 | + | 3.48371i | 0.690505 | + | 0.326279i | ||||
\(115\) | −0.0876664 | − | 0.260184i | −0.00817493 | − | 0.0242623i | ||||
\(116\) | 0.710523 | − | 1.53577i | 0.0659704 | − | 0.142593i | ||||
\(117\) | 12.4221 | + | 10.9028i | 1.14843 | + | 1.00797i | ||||
\(118\) | 8.71810 | + | 0.0557552i | 0.802566 | + | 0.00513268i | ||||
\(119\) | − | 8.10495i | − | 0.742979i | ||||||
\(120\) | 0.0145623 | − | 1.79725i | 0.00132935 | − | 0.164066i | ||||
\(121\) | −7.87556 | + | 2.65358i | −0.715960 | + | 0.241235i | ||||
\(122\) | 7.19158 | − | 6.10858i | 0.651095 | − | 0.553045i | ||||
\(123\) | 14.0418 | + | 9.68756i | 1.26611 | + | 0.873498i | ||||
\(124\) | 0.325506 | − | 2.99298i | 0.0292313 | − | 0.268778i | ||||
\(125\) | −3.32821 | + | 0.180450i | −0.297684 | + | 0.0161400i | ||||
\(126\) | 5.05120 | + | 2.43707i | 0.449997 | + | 0.217111i | ||||
\(127\) | −4.99774 | + | 3.79918i | −0.443478 | + | 0.337123i | −0.802964 | − | 0.596027i | \(-0.796745\pi\) |
0.359486 | + | 0.933150i | \(0.382952\pi\) | |||||||
\(128\) | 1.97838 | − | 0.215161i | 0.174865 | − | 0.0190178i | ||||
\(129\) | 5.58001 | − | 3.71770i | 0.491292 | − | 0.327325i | ||||
\(130\) | −1.80647 | − | 1.08692i | −0.158438 | − | 0.0953288i | ||||
\(131\) | −0.206590 | − | 0.157045i | −0.0180498 | − | 0.0137211i | 0.596110 | − | 0.802902i | \(-0.296712\pi\) |
−0.614160 | + | 0.789181i | \(0.710505\pi\) | |||||||
\(132\) | 0.249441 | + | 5.41138i | 0.0217110 | + | 0.471000i | ||||
\(133\) | −4.42274 | + | 5.20685i | −0.383500 | + | 0.451491i | ||||
\(134\) | −1.24576 | − | 0.204231i | −0.107617 | − | 0.0176429i | ||||
\(135\) | −0.599549 | + | 1.64605i | −0.0516010 | + | 0.141670i | ||||
\(136\) | 3.25587 | + | 14.7916i | 0.279189 | + | 1.26837i | ||||
\(137\) | −14.3954 | + | 15.1971i | −1.22988 | + | 1.29837i | −0.289941 | + | 0.957045i | \(0.593636\pi\) |
−0.939944 | + | 0.341329i | \(0.889123\pi\) | |||||||
\(138\) | −1.59294 | + | 0.160195i | −0.135600 | + | 0.0136367i | ||||
\(139\) | 2.78771 | + | 6.99663i | 0.236451 | + | 0.593447i | 0.998540 | − | 0.0540259i | \(-0.0172053\pi\) |
−0.762089 | + | 0.647473i | \(0.775826\pi\) | |||||||
\(140\) | 0.380810 | + | 0.105732i | 0.0321844 | + | 0.00893594i | ||||
\(141\) | 14.1023 | − | 2.98457i | 1.18763 | − | 0.251346i | ||||
\(142\) | −9.19726 | + | 6.23590i | −0.771817 | + | 0.523305i | ||||
\(143\) | 21.3902 | + | 11.3404i | 1.78874 | + | 0.948328i | ||||
\(144\) | −6.04241 | − | 1.43307i | −0.503534 | − | 0.119423i | ||||
\(145\) | 0.449836 | − | 0.663458i | 0.0373568 | − | 0.0550972i | ||||
\(146\) | 6.44211 | + | 6.80085i | 0.533153 | + | 0.562843i | ||||
\(147\) | 4.85292 | − | 5.62037i | 0.400262 | − | 0.463560i | ||||
\(148\) | −1.97046 | − | 4.25907i | −0.161971 | − | 0.350094i | ||||
\(149\) | −13.6112 | + | 12.8932i | −1.11507 | + | 1.05625i | −0.117067 | + | 0.993124i | \(0.537349\pi\) |
−0.998005 | + | 0.0631285i | \(0.979892\pi\) | |||||||
\(150\) | −1.63085 | + | 9.46669i | −0.133159 | + | 0.772952i | ||||
\(151\) | 2.55392 | − | 1.35400i | 0.207835 | − | 0.110187i | −0.361240 | − | 0.932473i | \(-0.617646\pi\) |
0.569075 | + | 0.822286i | \(0.307302\pi\) | |||||||
\(152\) | 5.97986 | − | 11.2792i | 0.485031 | − | 0.914865i | ||||
\(153\) | 1.83371 | − | 14.6482i | 0.148246 | − | 1.18423i | ||||
\(154\) | 8.02306 | + | 1.76601i | 0.646517 | + | 0.142309i | ||||
\(155\) | 0.381531 | − | 1.37415i | 0.0306453 | − | 0.110374i | ||||
\(156\) | 4.71041 | − | 4.89270i | 0.377135 | − | 0.391730i | ||||
\(157\) | 0.809676 | − | 2.40303i | 0.0646191 | − | 0.191783i | −0.910480 | − | 0.413554i | \(-0.864287\pi\) |
0.975099 | + | 0.221771i | \(0.0711838\pi\) | |||||||
\(158\) | −3.03063 | − | 2.87077i | −0.241104 | − | 0.228386i | ||||
\(159\) | −7.31919 | − | 9.79190i | −0.580449 | − | 0.776548i | ||||
\(160\) | −1.28136 | − | 0.0694731i | −0.101300 | − | 0.00549233i | ||||
\(161\) | 0.217001 | − | 1.32365i | 0.0171021 | − | 0.104318i | ||||
\(162\) | 8.57773 | + | 5.54735i | 0.673930 | + | 0.435841i | ||||
\(163\) | −8.05093 | + | 20.2063i | −0.630597 | + | 1.58268i | 0.171301 | + | 0.985219i | \(0.445203\pi\) |
−0.801898 | + | 0.597461i | \(0.796176\pi\) | |||||||
\(164\) | 4.24221 | − | 5.58053i | 0.331261 | − | 0.435766i | ||||
\(165\) | −0.298103 | + | 2.54871i | −0.0232073 | + | 0.198417i | ||||
\(166\) | 1.73021 | + | 10.5538i | 0.134290 | + | 0.819135i | ||||
\(167\) | −0.130144 | − | 1.19665i | −0.0100708 | − | 0.0925996i | 0.988024 | − | 0.154301i | \(-0.0493127\pi\) |
−0.998095 | + | 0.0617019i | \(0.980347\pi\) | |||||||
\(168\) | 4.17561 | − | 7.72415i | 0.322155 | − | 0.595931i | ||||
\(169\) | −4.64255 | − | 16.7210i | −0.357119 | − | 1.28623i | ||||
\(170\) | 0.101945 | + | 1.88026i | 0.00781882 | + | 0.144210i | ||||
\(171\) | −9.17130 | + | 8.40978i | −0.701347 | + | 0.643112i | ||||
\(172\) | −1.42045 | − | 2.36081i | −0.108308 | − | 0.180010i | ||||
\(173\) | 7.31245 | + | 8.60888i | 0.555955 | + | 0.654521i | 0.966303 | − | 0.257408i | \(-0.0828684\pi\) |
−0.410347 | + | 0.911929i | \(0.634593\pi\) | |||||||
\(174\) | −3.18678 | − | 3.41931i | −0.241589 | − | 0.259218i | ||||
\(175\) | −7.30428 | − | 3.37932i | −0.552152 | − | 0.255453i | ||||
\(176\) | −9.09641 | −0.685667 | ||||||||
\(177\) | −5.10302 | + | 12.2865i | −0.383567 | + | 0.923513i | ||||
\(178\) | 13.8908 | 1.04116 | ||||||||
\(179\) | 18.5861 | + | 8.59883i | 1.38919 | + | 0.642706i | 0.964851 | − | 0.262798i | \(-0.0846453\pi\) |
0.424336 | + | 0.905505i | \(0.360507\pi\) | |||||||
\(180\) | 0.664322 | + | 0.277246i | 0.0495156 | + | 0.0206647i | ||||
\(181\) | −15.9067 | − | 18.7268i | −1.18234 | − | 1.39195i | −0.901825 | − | 0.432101i | \(-0.857772\pi\) |
−0.280510 | − | 0.959851i | \(-0.590504\pi\) | |||||||
\(182\) | −5.31000 | − | 8.82529i | −0.393604 | − | 0.654174i | ||||
\(183\) | 4.48692 | + | 13.6821i | 0.331683 | + | 1.01141i | ||||
\(184\) | 0.135700 | + | 2.50283i | 0.0100039 | + | 0.184511i | ||||
\(185\) | −0.594709 | − | 2.14195i | −0.0437239 | − | 0.157479i | ||||
\(186\) | −7.31545 | − | 3.95467i | −0.536395 | − | 0.289970i | ||||
\(187\) | −2.33797 | − | 21.4973i | −0.170969 | − | 1.57203i | ||||
\(188\) | −0.958263 | − | 5.84515i | −0.0698885 | − | 0.426301i | ||||
\(189\) | −6.35459 | + | 5.73287i | −0.462228 | + | 0.417005i | ||||
\(190\) | 0.960537 | − | 1.26357i | 0.0696847 | − | 0.0916686i | ||||
\(191\) | 9.24604 | − | 23.2058i | 0.669020 | − | 1.67911i | −0.0631611 | − | 0.998003i | \(-0.520118\pi\) |
0.732181 | − | 0.681110i | \(-0.238503\pi\) | |||||||
\(192\) | −4.03448 | + | 14.0871i | −0.291164 | + | 1.01665i | ||||
\(193\) | −0.441900 | + | 2.69547i | −0.0318087 | + | 0.194024i | −0.997951 | − | 0.0639861i | \(-0.979619\pi\) |
0.966142 | + | 0.258011i | \(0.0830669\pi\) | |||||||
\(194\) | −12.8392 | − | 0.696122i | −0.921802 | − | 0.0499786i | ||||
\(195\) | 2.57688 | − | 1.92615i | 0.184534 | − | 0.137934i | ||||
\(196\) | −2.21521 | − | 2.09836i | −0.158229 | − | 0.149883i | ||||
\(197\) | 1.00485 | − | 2.98228i | 0.0715925 | − | 0.212479i | −0.905883 | − | 0.423528i | \(-0.860791\pi\) |
0.977475 | + | 0.211049i | \(0.0676880\pi\) | |||||||
\(198\) | 14.1006 | + | 5.00691i | 1.00209 | + | 0.355826i | ||||
\(199\) | −2.64827 | + | 9.53821i | −0.187731 | + | 0.676145i | 0.808429 | + | 0.588594i | \(0.200318\pi\) |
−0.996160 | + | 0.0875519i | \(0.972096\pi\) | |||||||
\(200\) | 14.6879 | + | 3.23305i | 1.03859 | + | 0.228611i | ||||
\(201\) | 1.00651 | − | 1.64255i | 0.0709936 | − | 0.115857i | ||||
\(202\) | 3.92310 | − | 7.39975i | 0.276028 | − | 0.520645i | ||||
\(203\) | 3.45985 | − | 1.83430i | 0.242834 | − | 0.128742i | ||||
\(204\) | −5.97804 | − | 1.02985i | −0.418546 | − | 0.0721043i | ||||
\(205\) | 2.41073 | − | 2.28356i | 0.168372 | − | 0.159491i | ||||
\(206\) | 4.73717 | + | 10.2392i | 0.330054 | + | 0.713400i | ||||
\(207\) | 0.691656 | − | 2.34315i | 0.0480734 | − | 0.162860i | ||||
\(208\) | 7.84287 | + | 8.27962i | 0.543805 | + | 0.574088i | ||||
\(209\) | −10.2287 | + | 15.0862i | −0.707536 | + | 1.04354i | ||||
\(210\) | 0.667668 | − | 0.863687i | 0.0460735 | − | 0.0596000i | ||||
\(211\) | 17.6383 | + | 9.35126i | 1.21427 | + | 0.643767i | 0.947427 | − | 0.319972i | \(-0.103673\pi\) |
0.266847 | + | 0.963739i | \(0.414018\pi\) | |||||||
\(212\) | −4.15784 | + | 2.81908i | −0.285561 | + | 0.193615i | ||||
\(213\) | −3.51094 | − | 16.5895i | −0.240566 | − | 1.13669i | ||||
\(214\) | −5.99806 | − | 1.66535i | −0.410019 | − | 0.113841i | ||||
\(215\) | −0.483079 | − | 1.21244i | −0.0329457 | − | 0.0826875i | ||||
\(216\) | 9.29418 | − | 13.0152i | 0.632389 | − | 0.885575i | ||||
\(217\) | 4.79134 | − | 5.05816i | 0.325258 | − | 0.343370i | ||||
\(218\) | 0.859391 | + | 3.90425i | 0.0582053 | + | 0.264429i | ||||
\(219\) | −13.3222 | + | 5.18337i | −0.900230 | + | 0.350260i | ||||
\(220\) | 1.04055 | + | 0.170589i | 0.0701536 | + | 0.0115011i | ||||
\(221\) | −17.5512 | + | 20.6628i | −1.18062 | + | 1.38993i | ||||
\(222\) | −12.9487 | + | 0.596879i | −0.869061 | + | 0.0400599i | ||||
\(223\) | 14.4952 | + | 11.0190i | 0.970671 | + | 0.737885i | 0.965041 | − | 0.262099i | \(-0.0844148\pi\) |
0.00563004 | + | 0.999984i | \(0.498208\pi\) | |||||||
\(224\) | −5.37174 | − | 3.23207i | −0.358914 | − | 0.215952i | ||||
\(225\) | −12.4366 | − | 7.76005i | −0.829104 | − | 0.517337i | ||||
\(226\) | 0.846679 | − | 0.0920819i | 0.0563203 | − | 0.00612520i | ||||
\(227\) | 13.8231 | − | 10.5081i | 0.917475 | − | 0.697446i | −0.0358616 | − | 0.999357i | \(-0.511418\pi\) |
0.953336 | + | 0.301911i | \(0.0976245\pi\) | |||||||
\(228\) | 3.27849 | + | 3.92373i | 0.217123 | + | 0.259855i | ||||
\(229\) | −28.7293 | + | 1.55766i | −1.89849 | + | 0.102933i | −0.966042 | − | 0.258384i | \(-0.916810\pi\) |
−0.932443 | + | 0.361317i | \(0.882327\pi\) | |||||||
\(230\) | −0.0336929 | + | 0.309801i | −0.00222165 | + | 0.0204277i | ||||
\(231\) | −7.11906 | + | 10.3188i | −0.468400 | + | 0.678929i | ||||
\(232\) | −5.57739 | + | 4.73747i | −0.366173 | + | 0.311030i | ||||
\(233\) | 9.96567 | − | 3.35783i | 0.652873 | − | 0.219979i | 0.0266769 | − | 0.999644i | \(-0.491507\pi\) |
0.626196 | + | 0.779666i | \(0.284611\pi\) | |||||||
\(234\) | −7.60015 | − | 17.1514i | −0.496837 | − | 1.12122i | ||||
\(235\) | − | 2.80580i | − | 0.183030i | ||||||
\(236\) | 4.94679 | + | 2.32715i | 0.322008 | + | 0.151485i | ||||
\(237\) | 5.80294 | − | 2.62786i | 0.376942 | − | 0.170698i | ||||
\(238\) | −3.86269 | + | 8.34906i | −0.250381 | + | 0.541189i | ||||
\(239\) | 3.43767 | + | 10.2026i | 0.222364 | + | 0.659954i | 0.999530 | + | 0.0306577i | \(0.00976017\pi\) |
−0.777166 | + | 0.629296i | \(0.783343\pi\) | |||||||
\(240\) | −0.516423 | + | 1.09291i | −0.0333350 | + | 0.0705468i | ||||
\(241\) | −9.26216 | + | 5.57286i | −0.596628 | + | 0.358979i | −0.781614 | − | 0.623762i | \(-0.785603\pi\) |
0.184986 | + | 0.982741i | \(0.440776\pi\) | |||||||
\(242\) | 9.37742 | + | 1.01986i | 0.602803 | + | 0.0655588i | ||||
\(243\) | −12.7818 | + | 8.92338i | −0.819950 | + | 0.572435i | ||||
\(244\) | 5.70107 | − | 1.58290i | 0.364974 | − | 0.101334i | ||||
\(245\) | −0.874708 | − | 1.15066i | −0.0558831 | − | 0.0735129i | ||||
\(246\) | −9.84778 | − | 16.6714i | −0.627872 | − | 1.06293i | ||||
\(247\) | 22.5508 | − | 3.69701i | 1.43487 | − | 0.235235i | ||||
\(248\) | −6.71230 | + | 11.1559i | −0.426231 | + | 0.708402i | ||||
\(249\) | −15.9097 | − | 3.63737i | −1.00823 | − | 0.230509i | ||||
\(250\) | 3.51445 | + | 1.40029i | 0.222274 | + | 0.0885619i | ||||
\(251\) | −13.6613 | − | 11.6040i | −0.862295 | − | 0.732440i | 0.102698 | − | 0.994713i | \(-0.467252\pi\) |
−0.964994 | + | 0.262272i | \(0.915528\pi\) | |||||||
\(252\) | 2.23297 | + | 2.71688i | 0.140664 | + | 0.171148i | ||||
\(253\) | 0.193743 | − | 3.57338i | 0.0121805 | − | 0.224657i | ||||
\(254\) | 6.95890 | − | 1.53177i | 0.436640 | − | 0.0961118i | ||||
\(255\) | −2.71556 | − | 0.939547i | −0.170055 | − | 0.0588367i | ||||
\(256\) | 13.8941 | + | 4.68147i | 0.868382 | + | 0.292592i | ||||
\(257\) | 16.9969 | − | 6.77220i | 1.06024 | − | 0.422438i | 0.226165 | − | 0.974089i | \(-0.427381\pi\) |
0.834075 | + | 0.551651i | \(0.186002\pi\) | |||||||
\(258\) | −7.51987 | + | 1.17034i | −0.468167 | + | 0.0728619i | ||||
\(259\) | 2.33460 | − | 10.6062i | 0.145065 | − | 0.659037i | ||||
\(260\) | −0.741882 | − | 1.09419i | −0.0460096 | − | 0.0678590i | ||||
\(261\) | 6.66803 | − | 2.53237i | 0.412741 | − | 0.156750i | ||||
\(262\) | 0.137967 | + | 0.260233i | 0.00852362 | + | 0.0160772i | ||||
\(263\) | −6.93184 | − | 4.69990i | −0.427436 | − | 0.289808i | 0.328439 | − | 0.944525i | \(-0.393478\pi\) |
−0.755874 | + | 0.654717i | \(0.772788\pi\) | |||||||
\(264\) | 8.84710 | − | 21.6918i | 0.544502 | − | 1.33503i | ||||
\(265\) | −2.15966 | + | 0.999165i | −0.132667 | + | 0.0613782i | ||||
\(266\) | 7.03745 | − | 3.25587i | 0.431494 | − | 0.199630i | ||||
\(267\) | −8.00526 | + | 19.6277i | −0.489914 | + | 1.20119i | ||||
\(268\) | −0.655186 | − | 0.444227i | −0.0400219 | − | 0.0271355i | ||||
\(269\) | 6.01672 | + | 11.3487i | 0.366846 | + | 0.691944i | 0.996378 | − | 0.0850295i | \(-0.0270985\pi\) |
−0.629533 | + | 0.776974i | \(0.716754\pi\) | |||||||
\(270\) | 1.40209 | − | 1.40989i | 0.0853284 | − | 0.0858034i | ||||
\(271\) | −3.72504 | − | 5.49403i | −0.226280 | − | 0.333738i | 0.697553 | − | 0.716533i | \(-0.254272\pi\) |
−0.923833 | + | 0.382795i | \(0.874962\pi\) | |||||||
\(272\) | 2.18972 | − | 9.94802i | 0.132772 | − | 0.603187i | ||||
\(273\) | 15.5303 | − | 2.41702i | 0.939936 | − | 0.146285i | ||||
\(274\) | 22.0717 | − | 8.79417i | 1.33340 | − | 0.531275i | ||||
\(275\) | −20.3484 | − | 6.85618i | −1.22706 | − | 0.413443i | ||||
\(276\) | −0.948720 | − | 0.328244i | −0.0571062 | − | 0.0197580i | ||||
\(277\) | 25.1199 | − | 5.52931i | 1.50931 | − | 0.332224i | 0.618203 | − | 0.786018i | \(-0.287861\pi\) |
0.891107 | + | 0.453794i | \(0.149930\pi\) | |||||||
\(278\) | 0.462806 | − | 8.53595i | 0.0277572 | − | 0.511952i | ||||
\(279\) | 9.80384 | − | 8.05766i | 0.586940 | − | 0.482399i | ||||
\(280\) | −1.30263 | − | 1.10647i | −0.0778471 | − | 0.0661240i | ||||
\(281\) | −19.9470 | − | 7.94762i | −1.18994 | − | 0.474115i | −0.310706 | − | 0.950506i | \(-0.600566\pi\) |
−0.879234 | + | 0.476391i | \(0.841945\pi\) | |||||||
\(282\) | −15.9495 | − | 3.64648i | −0.949777 | − | 0.217145i | ||||
\(283\) | −4.51625 | + | 7.50607i | −0.268463 | + | 0.446190i | −0.961536 | − | 0.274678i | \(-0.911429\pi\) |
0.693073 | + | 0.720867i | \(0.256256\pi\) | |||||||
\(284\) | −6.87603 | + | 1.12727i | −0.408017 | + | 0.0668910i | ||||
\(285\) | 1.23186 | + | 2.08543i | 0.0729691 | + | 0.123530i | ||||
\(286\) | −16.6298 | − | 21.8761i | −0.983341 | − | 1.29356i | ||||
\(287\) | 15.6310 | − | 4.33993i | 0.922670 | − | 0.256178i | ||||
\(288\) | −8.97717 | − | 7.05668i | −0.528985 | − | 0.415819i | ||||
\(289\) | 7.17229 | + | 0.780034i | 0.421900 | + | 0.0458843i | ||||
\(290\) | −0.779578 | + | 0.469056i | −0.0457784 | + | 0.0275439i | ||||
\(291\) | 8.38286 | − | 17.7406i | 0.491412 | − | 1.03997i | ||||
\(292\) | 1.87558 | + | 5.56653i | 0.109760 | + | 0.325756i | ||||
\(293\) | 4.64357 | − | 10.0369i | 0.271280 | − | 0.586362i | −0.723277 | − | 0.690558i | \(-0.757365\pi\) |
0.994557 | + | 0.104196i | \(0.0332270\pi\) | |||||||
\(294\) | −7.67766 | + | 3.47682i | −0.447770 | + | 0.202772i | ||||
\(295\) | 2.13408 | + | 1.46695i | 0.124251 | + | 0.0854090i | ||||
\(296\) | 20.2942i | 1.17958i | ||||||||
\(297\) | −15.2009 | + | 17.0387i | −0.882048 | + | 0.988685i | ||||
\(298\) | 20.1658 | − | 6.79466i | 1.16818 | − | 0.393604i | ||||
\(299\) | −3.41957 | + | 2.90460i | −0.197759 | + | 0.167978i | ||||
\(300\) | −3.42064 | + | 4.95809i | −0.197490 | + | 0.286256i | ||||
\(301\) | 0.689375 | − | 6.33870i | 0.0397349 | − | 0.365357i | ||||
\(302\) | −3.27613 | + | 0.177627i | −0.188520 | + | 0.0102213i | ||||
\(303\) | 8.19496 | + | 9.80781i | 0.470788 | + | 0.563444i | ||||
\(304\) | −6.83522 | + | 5.19600i | −0.392026 | + | 0.298011i | ||||
\(305\) | 2.78632 | − | 0.303031i | 0.159544 | − | 0.0173515i | ||||
\(306\) | −8.87002 | + | 14.2154i | −0.507065 | + | 0.812643i | ||||
\(307\) | −21.9898 | − | 13.2308i | −1.25502 | − | 0.755123i | −0.276452 | − | 0.961028i | \(-0.589159\pi\) |
−0.978572 | + | 0.205905i | \(0.933986\pi\) | |||||||
\(308\) | 4.10094 | + | 3.11745i | 0.233673 | + | 0.177633i | ||||
\(309\) | −17.1980 | + | 0.792755i | −0.978362 | + | 0.0450983i | ||||
\(310\) | −1.04792 | + | 1.23371i | −0.0595179 | + | 0.0700698i | ||||
\(311\) | 11.5240 | + | 1.88926i | 0.653464 | + | 0.107130i | 0.479389 | − | 0.877603i | \(-0.340858\pi\) |
0.174075 | + | 0.984732i | \(0.444307\pi\) | |||||||
\(312\) | −27.3719 | + | 10.6498i | −1.54963 | + | 0.602927i | ||||
\(313\) | 2.25330 | + | 10.2369i | 0.127364 | + | 0.578622i | 0.996467 | + | 0.0839896i | \(0.0267663\pi\) |
−0.869102 | + | 0.494632i | \(0.835303\pi\) | |||||||
\(314\) | −1.97931 | + | 2.08953i | −0.111699 | + | 0.117919i | ||||
\(315\) | 0.835612 | + | 1.44116i | 0.0470814 | + | 0.0812000i | ||||
\(316\) | −0.968876 | − | 2.43170i | −0.0545036 | − | 0.136794i | ||||
\(317\) | 2.80358 | + | 0.778409i | 0.157464 | + | 0.0437198i | 0.345366 | − | 0.938468i | \(-0.387755\pi\) |
−0.187902 | + | 0.982188i | \(0.560169\pi\) | |||||||
\(318\) | 2.87297 | + | 13.5750i | 0.161108 | + | 0.761250i | ||||
\(319\) | 8.64766 | − | 5.86326i | 0.484176 | − | 0.328279i | ||||
\(320\) | 2.52002 | + | 1.33603i | 0.140874 | + | 0.0746864i | ||||
\(321\) | 5.80983 | − | 7.51552i | 0.324273 | − | 0.419475i | ||||
\(322\) | −0.854365 | + | 1.26009i | −0.0476119 | + | 0.0702223i | ||||
\(323\) | −14.0363 | − | 14.8180i | −0.781002 | − | 0.824494i | ||||
\(324\) | 3.42100 | + | 5.41546i | 0.190055 | + | 0.300859i | ||||
\(325\) | 11.3037 | + | 24.4326i | 0.627019 | + | 1.35528i | ||||
\(326\) | 17.9234 | − | 16.9780i | 0.992686 | − | 0.940322i | ||||
\(327\) | −6.01198 | − | 1.03570i | −0.332463 | − | 0.0572744i | ||||
\(328\) | −26.7833 | + | 14.1996i | −1.47886 | + | 0.784041i | ||||
\(329\) | 6.42068 | − | 12.1107i | 0.353983 | − | 0.667683i | ||||
\(330\) | 1.52176 | − | 2.48341i | 0.0837699 | − | 0.136707i | ||||
\(331\) | −16.0553 | − | 3.53404i | −0.882480 | − | 0.194248i | −0.249461 | − | 0.968385i | \(-0.580253\pi\) |
−0.633019 | + | 0.774136i | \(0.718184\pi\) | |||||||
\(332\) | −1.79409 | + | 6.46172i | −0.0984634 | + | 0.354633i | ||||
\(333\) | 6.61895 | − | 18.6405i | 0.362716 | − | 1.02149i | ||||
\(334\) | −0.436241 | + | 1.29472i | −0.0238700 | + | 0.0708438i | ||||
\(335\) | −0.272229 | − | 0.257869i | −0.0148734 | − | 0.0140889i | ||||
\(336\) | −4.73000 | + | 3.53555i | −0.258042 | + | 0.192880i | ||||
\(337\) | −2.62861 | − | 0.142519i | −0.143190 | − | 0.00776352i | −0.0175953 | − | 0.999845i | \(-0.505601\pi\) |
−0.125594 | + | 0.992082i | \(0.540084\pi\) | |||||||
\(338\) | −3.18656 | + | 19.4371i | −0.173326 | + | 1.05724i | ||||
\(339\) | −0.357829 | + | 1.24942i | −0.0194346 | + | 0.0678594i | ||||
\(340\) | −0.437044 | + | 1.09690i | −0.0237020 | + | 0.0594877i | ||||
\(341\) | 11.2493 | − | 14.7982i | 0.609183 | − | 0.801367i | ||||
\(342\) | 13.4555 | − | 4.29219i | 0.727590 | − | 0.232095i | ||||
\(343\) | −3.00765 | − | 18.3458i | −0.162398 | − | 0.990582i | ||||
\(344\) | 1.28823 | + | 11.8451i | 0.0694568 | + | 0.638645i | ||||
\(345\) | −0.418332 | − | 0.226147i | −0.0225222 | − | 0.0121753i | ||||
\(346\) | −3.42984 | − | 12.3532i | −0.184389 | − | 0.664111i | ||||
\(347\) | −0.686037 | − | 12.6532i | −0.0368284 | − | 0.679260i | −0.957414 | − | 0.288719i | \(-0.906771\pi\) |
0.920586 | − | 0.390541i | \(-0.127712\pi\) | |||||||
\(348\) | −0.913313 | − | 2.78499i | −0.0489587 | − | 0.149291i | ||||
\(349\) | 17.8115 | + | 29.6030i | 0.953429 | + | 1.58461i | 0.802990 | + | 0.595992i | \(0.203241\pi\) |
0.150439 | + | 0.988619i | \(0.451931\pi\) | |||||||
\(350\) | 5.91375 | + | 6.96221i | 0.316103 | + | 0.372146i | ||||
\(351\) | 28.6149 | − | 0.854648i | 1.52735 | − | 0.0456178i | ||||
\(352\) | −15.1801 | − | 7.02307i | −0.809103 | − | 0.374331i | ||||
\(353\) | 26.0142 | 1.38460 | 0.692299 | − | 0.721611i | \(-0.256598\pi\) | ||||
0.692299 | + | 0.721611i | \(0.256598\pi\) | |||||||
\(354\) | 11.1123 | − | 10.2246i | 0.590612 | − | 0.543431i | ||||
\(355\) | −3.30065 | −0.175180 | ||||||||
\(356\) | 7.90524 | + | 3.65735i | 0.418977 | + | 0.193839i | ||||
\(357\) | −9.57116 | − | 10.2695i | −0.506559 | − | 0.543522i | ||||
\(358\) | −15.0478 | − | 17.7156i | −0.795301 | − | 0.936300i | ||||
\(359\) | 11.1415 | + | 18.5173i | 0.588024 | + | 0.977304i | 0.997875 | + | 0.0651515i | \(0.0207531\pi\) |
−0.409851 | + | 0.912152i | \(0.634419\pi\) | |||||||
\(360\) | −2.10393 | − | 2.29444i | −0.110887 | − | 0.120928i | ||||
\(361\) | −0.0972269 | − | 1.79325i | −0.00511721 | − | 0.0943813i | ||||
\(362\) | 7.46090 | + | 26.8717i | 0.392136 | + | 1.41235i | ||||
\(363\) | −6.84526 | + | 12.6625i | −0.359283 | + | 0.664611i | ||||
\(364\) | −0.698278 | − | 6.42056i | −0.0365997 | − | 0.336529i | ||||
\(365\) | 0.450161 | + | 2.74586i | 0.0235625 | + | 0.143725i | ||||
\(366\) | 1.89860 | − | 16.2326i | 0.0992412 | − | 0.848490i | ||||
\(367\) | −9.38809 | + | 12.3498i | −0.490055 | + | 0.644656i | −0.972948 | − | 0.231023i | \(-0.925793\pi\) |
0.482894 | + | 0.875679i | \(0.339586\pi\) | |||||||
\(368\) | 0.623958 | − | 1.56602i | 0.0325261 | − | 0.0816342i | ||||
\(369\) | 29.2320 | − | 4.30716i | 1.52176 | − | 0.224222i | ||||
\(370\) | −0.408197 | + | 2.48989i | −0.0212211 | + | 0.129443i | ||||
\(371\) | −11.6082 | − | 0.629377i | −0.602667 | − | 0.0326756i | ||||
\(372\) | −3.12198 | − | 4.17671i | −0.161867 | − | 0.216552i | ||||
\(373\) | 10.5111 | + | 9.95664i | 0.544244 | + | 0.515535i | 0.909685 | − | 0.415299i | \(-0.136323\pi\) |
−0.365441 | + | 0.930835i | \(0.619082\pi\) | |||||||
\(374\) | −7.83686 | + | 23.2590i | −0.405234 | + | 1.20269i | ||||
\(375\) | −4.00398 | + | 4.15894i | −0.206765 | + | 0.214767i | ||||
\(376\) | −6.85274 | + | 24.6813i | −0.353403 | + | 1.27284i | ||||
\(377\) | −12.7927 | − | 2.81590i | −0.658860 | − | 0.145026i | ||||
\(378\) | 9.27818 | − | 2.87704i | 0.477218 | − | 0.147979i | ||||
\(379\) | −3.71236 | + | 7.00226i | −0.190691 | + | 0.359682i | −0.960361 | − | 0.278761i | \(-0.910076\pi\) |
0.769669 | + | 0.638443i | \(0.220421\pi\) | |||||||
\(380\) | 0.879330 | − | 0.466191i | 0.0451087 | − | 0.0239151i | ||||
\(381\) | −1.84602 | + | 10.7157i | −0.0945746 | + | 0.548981i | ||||
\(382\) | −20.5840 | + | 19.4982i | −1.05317 | + | 0.997617i | ||||
\(383\) | 7.58185 | + | 16.3879i | 0.387415 | + | 0.837383i | 0.998934 | + | 0.0461537i | \(0.0146964\pi\) |
−0.611520 | + | 0.791229i | \(0.709442\pi\) | |||||||
\(384\) | 2.25266 | − | 2.60889i | 0.114955 | − | 0.133135i | ||||
\(385\) | 1.67811 | + | 1.77156i | 0.0855245 | + | 0.0902871i | ||||
\(386\) | 1.73983 | − | 2.56606i | 0.0885550 | − | 0.130609i | ||||
\(387\) | 2.68002 | − | 11.3000i | 0.136233 | − | 0.574413i | ||||
\(388\) | −7.12350 | − | 3.77664i | −0.361641 | − | 0.191730i | ||||
\(389\) | −15.8456 | + | 10.7436i | −0.803403 | + | 0.544720i | −0.892365 | − | 0.451315i | \(-0.850955\pi\) |
0.0889624 | + | 0.996035i | \(0.471645\pi\) | |||||||
\(390\) | −3.57246 | + | 0.756064i | −0.180899 | + | 0.0382848i | ||||
\(391\) | 3.86129 | + | 1.07208i | 0.195274 | + | 0.0542175i | ||||
\(392\) | 4.88409 | + | 12.2582i | 0.246684 | + | 0.619130i | ||||
\(393\) | −0.447219 | + | 0.0449748i | −0.0225592 | + | 0.00226868i | ||||
\(394\) | −2.45642 | + | 2.59321i | −0.123753 | + | 0.130644i | ||||
\(395\) | −0.266554 | − | 1.21097i | −0.0134118 | − | 0.0609304i | ||||
\(396\) | 6.70637 | + | 6.56203i | 0.337008 | + | 0.329754i | ||||
\(397\) | −34.4470 | − | 5.64730i | −1.72885 | − | 0.283430i | −0.786383 | − | 0.617739i | \(-0.788049\pi\) |
−0.942464 | + | 0.334309i | \(0.891497\pi\) | |||||||
\(398\) | 7.27379 | − | 8.56337i | 0.364602 | − | 0.429243i | ||||
\(399\) | 0.544863 | + | 11.8203i | 0.0272773 | + | 0.591754i | ||||
\(400\) | −8.05229 | − | 6.12119i | −0.402614 | − | 0.306059i | ||||
\(401\) | −15.5413 | − | 9.35090i | −0.776096 | − | 0.466962i | 0.0716067 | − | 0.997433i | \(-0.477187\pi\) |
−0.847703 | + | 0.530471i | \(0.822015\pi\) | |||||||
\(402\) | −1.81964 | + | 1.21234i | −0.0907553 | + | 0.0604661i | ||||
\(403\) | −23.1685 | + | 2.51973i | −1.15411 | + | 0.125517i | ||||
\(404\) | 4.18094 | − | 3.17827i | 0.208009 | − | 0.158125i | ||||
\(405\) | 1.18416 | + | 2.79367i | 0.0588412 | + | 0.138819i | ||||
\(406\) | −4.43826 | + | 0.240635i | −0.220267 | + | 0.0119425i | ||||
\(407\) | 3.13272 | − | 28.8049i | 0.155283 | − | 1.42781i | ||||
\(408\) | 21.5928 | + | 14.8971i | 1.06900 | + | 0.737516i | ||||
\(409\) | 23.1573 | − | 19.6700i | 1.14505 | − | 0.972617i | 0.145194 | − | 0.989403i | \(-0.453619\pi\) |
0.999859 | + | 0.0167864i | \(0.00534352\pi\) | |||||||
\(410\) | −3.57164 | + | 1.20343i | −0.176391 | + | 0.0594330i | ||||
\(411\) | −0.293760 | + | 36.2554i | −0.0144901 | + | 1.78835i | ||||
\(412\) | 7.07440i | 0.348531i | ||||||||
\(413\) | 5.85441 | + | 11.2153i | 0.288076 | + | 0.551869i | ||||
\(414\) | −1.82919 | + | 2.08409i | −0.0899000 | + | 0.102427i | ||||
\(415\) | −1.33386 | + | 2.88310i | −0.0654767 | + | 0.141526i | ||||
\(416\) | 6.69576 | + | 19.8723i | 0.328287 | + | 0.974320i | ||||
\(417\) | 11.7946 | + | 5.57321i | 0.577583 | + | 0.272921i | ||||
\(418\) | 17.7267 | − | 10.6658i | 0.867040 | − | 0.521681i | ||||
\(419\) | −22.0273 | − | 2.39562i | −1.07611 | − | 0.117034i | −0.447138 | − | 0.894465i | \(-0.647557\pi\) |
−0.628968 | + | 0.777431i | \(0.716522\pi\) | |||||||
\(420\) | 0.607372 | − | 0.315731i | 0.0296367 | − | 0.0154061i | ||||
\(421\) | 20.3339 | − | 5.64567i | 0.991012 | − | 0.275153i | 0.266063 | − | 0.963956i | \(-0.414277\pi\) |
0.724949 | + | 0.688803i | \(0.241863\pi\) | |||||||
\(422\) | −13.7129 | − | 18.0391i | −0.667536 | − | 0.878128i | ||||
\(423\) | 14.3441 | − | 20.4351i | 0.697436 | − | 0.993590i | ||||
\(424\) | 21.4378 | − | 3.51455i | 1.04111 | − | 0.170682i | ||||
\(425\) | 12.3964 | − | 20.6030i | 0.601314 | − | 0.999392i | ||||
\(426\) | −4.28959 | + | 18.7624i | −0.207831 | + | 0.909041i | ||||
\(427\) | 12.7200 | + | 5.06813i | 0.615566 | + | 0.245264i | ||||
\(428\) | −2.97502 | − | 2.52700i | −0.143803 | − | 0.122147i | ||||
\(429\) | 40.4947 | − | 10.8907i | 1.95510 | − | 0.525808i | ||||
\(430\) | −0.0801990 | + | 1.47918i | −0.00386754 | + | 0.0713325i | ||||
\(431\) | −23.4086 | + | 5.15262i | −1.12755 | + | 0.248193i | −0.739311 | − | 0.673364i | \(-0.764849\pi\) |
−0.388242 | + | 0.921557i | \(0.626918\pi\) | |||||||
\(432\) | −9.34848 | + | 5.31970i | −0.449779 | + | 0.255944i | ||||
\(433\) | 8.46399 | + | 2.85185i | 0.406753 | + | 0.137051i | 0.515238 | − | 0.857047i | \(-0.327703\pi\) |
−0.108485 | + | 0.994098i | \(0.534600\pi\) | |||||||
\(434\) | −7.34630 | + | 2.92703i | −0.352633 | + | 0.140502i | ||||
\(435\) | −0.213506 | − | 1.37186i | −0.0102368 | − | 0.0657757i | ||||
\(436\) | −0.538885 | + | 2.44818i | −0.0258079 | + | 0.117247i | ||||
\(437\) | −1.89558 | − | 2.79578i | −0.0906781 | − | 0.133740i | ||||
\(438\) | 16.1938 | + | 1.00965i | 0.773768 | + | 0.0482431i | ||||
\(439\) | 2.88504 | + | 5.44176i | 0.137695 | + | 0.259721i | 0.942764 | − | 0.333461i | \(-0.108216\pi\) |
−0.805069 | + | 0.593182i | \(0.797872\pi\) | |||||||
\(440\) | −3.77422 | − | 2.55899i | −0.179929 | − | 0.121995i | ||||
\(441\) | −0.488114 | − | 12.8522i | −0.0232435 | − | 0.612011i | ||||
\(442\) | 27.9274 | − | 12.9206i | 1.32837 | − | 0.614570i | ||||
\(443\) | 6.10538 | − | 2.82465i | 0.290075 | − | 0.134203i | −0.269455 | − | 0.963013i | \(-0.586844\pi\) |
0.559530 | + | 0.828810i | \(0.310981\pi\) | |||||||
\(444\) | −7.52626 | − | 3.06963i | −0.357180 | − | 0.145678i | ||||
\(445\) | 3.41509 | + | 2.31549i | 0.161891 | + | 0.109765i | ||||
\(446\) | −9.68033 | − | 18.2590i | −0.458377 | − | 0.864591i | ||||
\(447\) | −2.02072 | + | 32.4101i | −0.0955766 | + | 1.53295i | ||||
\(448\) | 7.81985 | + | 11.5334i | 0.369453 | + | 0.544903i | ||||
\(449\) | 0.0857041 | − | 0.389357i | 0.00404462 | − | 0.0183749i | −0.974555 | − | 0.224148i | \(-0.928040\pi\) |
0.978600 | + | 0.205773i | \(0.0659710\pi\) | |||||||
\(450\) | 9.11283 | + | 13.9208i | 0.429583 | + | 0.656235i | ||||
\(451\) | 40.2072 | − | 16.0200i | 1.89328 | − | 0.754353i | ||||
\(452\) | 0.506089 | + | 0.170521i | 0.0238044 | + | 0.00802065i | ||||
\(453\) | 1.63705 | − | 4.73154i | 0.0769153 | − | 0.222307i | ||||
\(454\) | −19.2475 | + | 4.23669i | −0.903329 | + | 0.198838i | ||||
\(455\) | 0.165630 | − | 3.05486i | 0.00776484 | − | 0.143214i | ||||
\(456\) | −5.74275 | − | 21.3532i | −0.268929 | − | 0.999955i | ||||
\(457\) | 3.14777 | + | 2.67374i | 0.147246 | + | 0.125072i | 0.717982 | − | 0.696062i | \(-0.245066\pi\) |
−0.570736 | + | 0.821134i | \(0.693342\pi\) | |||||||
\(458\) | 30.3370 | + | 12.0874i | 1.41755 | + | 0.564805i | ||||
\(459\) | −14.9746 | − | 20.7257i | −0.698956 | − | 0.967392i | ||||
\(460\) | −0.100743 | + | 0.167437i | −0.00469718 | + | 0.00780678i | ||||
\(461\) | −8.83755 | + | 1.44884i | −0.411606 | + | 0.0674793i | −0.364028 | − | 0.931388i | \(-0.618599\pi\) |
−0.0475781 | + | 0.998868i | \(0.515150\pi\) | |||||||
\(462\) | 12.2513 | − | 7.23680i | 0.569981 | − | 0.336686i | ||||
\(463\) | −11.3201 | − | 14.8913i | −0.526090 | − | 0.692060i | 0.453912 | − | 0.891046i | \(-0.350028\pi\) |
−0.980002 | + | 0.198987i | \(0.936235\pi\) | |||||||
\(464\) | 4.74220 | − | 1.31667i | 0.220151 | − | 0.0611246i | ||||
\(465\) | −1.13931 | − | 2.19170i | −0.0528343 | − | 0.101637i | ||||
\(466\) | −11.8661 | − | 1.29052i | −0.549687 | − | 0.0597821i | ||||
\(467\) | 1.37665 | − | 0.828305i | 0.0637039 | − | 0.0383294i | −0.483346 | − | 0.875430i | \(-0.660579\pi\) |
0.547049 | + | 0.837100i | \(0.315751\pi\) | |||||||
\(468\) | 0.190615 | − | 11.7619i | 0.00881119 | − | 0.543696i | ||||
\(469\) | −0.584925 | − | 1.73600i | −0.0270093 | − | 0.0801608i | ||||
\(470\) | −1.33720 | + | 2.89031i | −0.0616805 | + | 0.133320i | ||||
\(471\) | −1.81183 | − | 4.00096i | −0.0834848 | − | 0.184354i | ||||
\(472\) | −15.1897 | − | 18.1162i | −0.699161 | − | 0.833866i | ||||
\(473\) | − | 17.0114i | − | 0.782184i | ||||||
\(474\) | −7.23012 | − | 0.0585822i | −0.332090 | − | 0.00269077i | ||||
\(475\) | −19.2065 | + | 6.47143i | −0.881256 | + | 0.296930i | ||||
\(476\) | −4.39651 | + | 3.73443i | −0.201514 | + | 0.171167i | ||||
\(477\) | −20.8372 | − | 3.76378i | −0.954070 | − | 0.172331i | ||||
\(478\) | 1.32120 | − | 12.1483i | 0.0604305 | − | 0.555649i | ||||
\(479\) | −3.56721 | + | 0.193409i | −0.162990 | + | 0.00883706i | −0.135453 | − | 0.990784i | \(-0.543249\pi\) |
−0.0275367 | + | 0.999621i | \(0.508766\pi\) | |||||||
\(480\) | −1.70561 | + | 1.42513i | −0.0778501 | + | 0.0650480i | ||||
\(481\) | −28.9195 | + | 21.9840i | −1.31861 | + | 1.00238i | ||||
\(482\) | 12.1971 | − | 1.32651i | 0.555561 | − | 0.0604209i | ||||
\(483\) | −1.28814 | − | 1.93341i | −0.0586125 | − | 0.0879732i | ||||
\(484\) | 5.06816 | + | 3.04941i | 0.230371 | + | 0.138610i | ||||
\(485\) | −3.04052 | − | 2.31134i | −0.138063 | − | 0.104953i | ||||
\(486\) | 17.4195 | − | 3.10057i | 0.790163 | − | 0.140645i | ||||
\(487\) | −22.1431 | + | 26.0688i | −1.00340 | + | 1.18129i | −0.0200049 | + | 0.999800i | \(0.506368\pi\) |
−0.983393 | + | 0.181491i | \(0.941908\pi\) | |||||||
\(488\) | −25.2501 | − | 4.13954i | −1.14302 | − | 0.187388i | ||||
\(489\) | 13.6606 | + | 35.1102i | 0.617753 | + | 1.58774i | ||||
\(490\) | 0.352668 | + | 1.60219i | 0.0159319 | + | 0.0723795i | ||||
\(491\) | −2.99053 | + | 3.15706i | −0.134961 | + | 0.142476i | −0.789972 | − | 0.613143i | \(-0.789905\pi\) |
0.655012 | + | 0.755619i | \(0.272664\pi\) | |||||||
\(492\) | −1.21489 | − | 12.0806i | −0.0547713 | − | 0.544634i | ||||
\(493\) | 4.33048 | + | 10.8687i | 0.195035 | + | 0.489501i | ||||
\(494\) | −24.9919 | − | 6.93897i | −1.12444 | − | 0.312199i | ||||
\(495\) | 2.63206 | + | 3.58143i | 0.118302 | + | 0.160973i | ||||
\(496\) | 7.24747 | − | 4.91391i | 0.325421 | − | 0.220641i | ||||
\(497\) | −14.2466 | − | 7.55306i | −0.639046 | − | 0.338801i | ||||
\(498\) | 14.6553 | + | 11.3292i | 0.656721 | + | 0.507674i | ||||
\(499\) | 24.5656 | − | 36.2315i | 1.09971 | − | 1.62195i | 0.384350 | − | 0.923188i | \(-0.374426\pi\) |
0.715357 | − | 0.698759i | \(-0.246264\pi\) | |||||||
\(500\) | 1.63139 | + | 1.72223i | 0.0729578 | + | 0.0770207i | ||||
\(501\) | −1.57803 | − | 1.36255i | −0.0705012 | − | 0.0608744i | ||||
\(502\) | 8.54250 | + | 18.4643i | 0.381271 | + | 0.824103i | ||||
\(503\) | −13.0753 | + | 12.3856i | −0.582998 | + | 0.552245i | −0.921330 | − | 0.388782i | \(-0.872896\pi\) |
0.338332 | + | 0.941027i | \(0.390137\pi\) | |||||||
\(504\) | −3.83068 | − | 14.7180i | −0.170632 | − | 0.655593i | ||||
\(505\) | 2.19799 | − | 1.16530i | 0.0978091 | − | 0.0518551i | ||||
\(506\) | −1.90260 | + | 3.58868i | −0.0845807 | + | 0.159536i | ||||
\(507\) | −25.6283 | − | 15.7042i | −1.13819 | − | 0.697449i | ||||
\(508\) | 4.36361 | + | 0.960503i | 0.193604 | + | 0.0426154i | ||||
\(509\) | −0.306270 | + | 1.10309i | −0.0135752 | + | 0.0488934i | −0.970027 | − | 0.242996i | \(-0.921870\pi\) |
0.956452 | + | 0.291889i | \(0.0942838\pi\) | |||||||
\(510\) | 2.34958 | + | 2.26204i | 0.104041 | + | 0.100165i | ||||
\(511\) | −4.34048 | + | 12.8821i | −0.192011 | + | 0.569869i | ||||
\(512\) | −14.9710 | − | 14.1813i | −0.661631 | − | 0.626730i | ||||
\(513\) | −1.68954 | + | 21.4862i | −0.0745952 | + | 0.948639i | ||||
\(514\) | −20.7364 | − | 1.12429i | −0.914643 | − | 0.0495905i | ||||
\(515\) | −0.542153 | + | 3.30699i | −0.0238901 | + | 0.145723i | ||||
\(516\) | −4.58770 | − | 1.31390i | −0.201962 | − | 0.0578410i | ||||
\(517\) | 13.5365 | − | 33.9740i | 0.595334 | − | 1.49418i | ||||
\(518\) | −7.45966 | + | 9.81301i | −0.327759 | + | 0.431159i | ||||
\(519\) | 19.4316 | + | 2.27277i | 0.852955 | + | 0.0997634i | ||||
\(520\) | 0.924905 | + | 5.64167i | 0.0405598 | + | 0.247404i | ||||
\(521\) | −0.394969 | − | 3.63168i | −0.0173039 | − | 0.159107i | 0.982298 | − | 0.187326i | \(-0.0599820\pi\) |
−0.999602 | + | 0.0282188i | \(0.991016\pi\) | |||||||
\(522\) | −8.07576 | − | 0.569232i | −0.353466 | − | 0.0249146i | ||||
\(523\) | −6.08189 | − | 21.9050i | −0.265942 | − | 0.957838i | −0.969072 | − | 0.246777i | \(-0.920629\pi\) |
0.703130 | − | 0.711061i | \(-0.251785\pi\) | |||||||
\(524\) | 0.00999919 | + | 0.184424i | 0.000436817 | + | 0.00805661i | ||||
\(525\) | −13.2457 | + | 4.34381i | −0.578090 | + | 0.189579i | ||||
\(526\) | 4.90072 | + | 8.14507i | 0.213682 | + | 0.355142i | ||||
\(527\) | 13.4756 | + | 15.8647i | 0.587008 | + | 0.691079i | ||||
\(528\) | −11.5258 | + | 10.7420i | −0.501596 | + | 0.467484i | ||||
\(529\) | −20.2723 | − | 9.37898i | −0.881406 | − | 0.407782i | ||||
\(530\) | 2.70089 | 0.117319 | ||||||||
\(531\) | 8.04333 | + | 21.5941i | 0.349051 | + | 0.937104i | ||||
\(532\) | 4.86226 | 0.210806 | ||||||||
\(533\) | −49.2480 | − | 22.7845i | −2.13317 | − | 0.986908i | ||||
\(534\) | 17.6006 | − | 16.4037i | 0.761653 | − | 0.709856i | ||||
\(535\) | −1.19704 | − | 1.40926i | −0.0517525 | − | 0.0609277i | ||||
\(536\) | 1.76486 | + | 2.93323i | 0.0762306 | + | 0.126696i | ||||
\(537\) | 33.7042 | − | 11.0530i | 1.45444 | − | 0.476973i | ||||
\(538\) | −0.789313 | − | 14.5580i | −0.0340297 | − | 0.627641i | ||||
\(539\) | −5.04008 | − | 18.1527i | −0.217092 | − | 0.781894i | ||||
\(540\) | 1.16914 | − | 0.433209i | 0.0503119 | − | 0.0186424i | ||||
\(541\) | 2.75201 | + | 25.3043i | 0.118318 | + | 1.08792i | 0.891276 | + | 0.453461i | \(0.149811\pi\) |
−0.772958 | + | 0.634457i | \(0.781224\pi\) | |||||||
\(542\) | 1.21887 | + | 7.43480i | 0.0523551 | + | 0.319352i | ||||
\(543\) | −42.2694 | − | 4.94392i | −1.81396 | − | 0.212164i | ||||
\(544\) | 11.3348 | − | 14.9107i | 0.485975 | − | 0.639290i | ||||
\(545\) | −0.439525 | + | 1.10313i | −0.0188272 | + | 0.0472527i | ||||
\(546\) | −17.1500 | − | 4.91167i | −0.733951 | − | 0.210200i | ||||
\(547\) | 2.85815 | − | 17.4339i | 0.122206 | − | 0.745421i | −0.852633 | − | 0.522510i | \(-0.824996\pi\) |
0.974839 | − | 0.222911i | \(-0.0715560\pi\) | |||||||
\(548\) | 14.8764 | + | 0.806577i | 0.635490 | + | 0.0344553i | ||||
\(549\) | 21.8424 | + | 12.0375i | 0.932213 | + | 0.513750i | ||||
\(550\) | 17.6937 | + | 16.7604i | 0.754464 | + | 0.714666i | ||||
\(551\) | 3.14884 | − | 9.34543i | 0.134145 | − | 0.398129i | ||||
\(552\) | 3.12754 | + | 3.01102i | 0.133117 | + | 0.128157i | ||||
\(553\) | 1.62060 | − | 5.83687i | 0.0689149 | − | 0.248209i | ||||
\(554\) | −28.5117 | − | 6.27590i | −1.21135 | − | 0.266637i | ||||
\(555\) | −3.28297 | − | 2.01171i | −0.139354 | − | 0.0853922i | ||||
\(556\) | 2.51084 | − | 4.73595i | 0.106483 | − | 0.200849i | ||||
\(557\) | 32.7604 | − | 17.3685i | 1.38810 | − | 0.735926i | 0.404208 | − | 0.914667i | \(-0.367547\pi\) |
0.983896 | + | 0.178741i | \(0.0572023\pi\) | |||||||
\(558\) | −13.9393 | + | 3.62799i | −0.590097 | + | 0.153585i | ||||
\(559\) | −15.4839 | + | 14.6671i | −0.654899 | + | 0.620353i | ||||
\(560\) | 0.482649 | + | 1.04323i | 0.0203956 | + | 0.0440844i | ||||
\(561\) | −28.3485 | − | 24.4776i | −1.19688 | − | 1.03345i | ||||
\(562\) | 16.7601 | + | 17.6934i | 0.706983 | + | 0.746353i | ||||
\(563\) | 16.2731 | − | 24.0011i | 0.685831 | − | 1.01153i | −0.312274 | − | 0.949992i | \(-0.601091\pi\) |
0.998105 | − | 0.0615332i | \(-0.0195990\pi\) | |||||||
\(564\) | −8.11674 | − | 6.27460i | −0.341776 | − | 0.264208i | ||||
\(565\) | 0.223508 | + | 0.118496i | 0.00940304 | + | 0.00498518i | ||||
\(566\) | 8.22955 | − | 5.57978i | 0.345914 | − | 0.234535i | ||||
\(567\) | −1.28175 | + | 14.7681i | −0.0538284 | + | 0.620202i | ||||
\(568\) | 29.0342 | + | 8.06132i | 1.21825 | + | 0.338245i | ||||
\(569\) | 2.36959 | + | 5.94722i | 0.0993384 | + | 0.249320i | 0.970244 | − | 0.242130i | \(-0.0778461\pi\) |
−0.870905 | + | 0.491451i | \(0.836467\pi\) | |||||||
\(570\) | −0.275079 | − | 2.73533i | −0.0115218 | − | 0.114570i | ||||
\(571\) | 4.51235 | − | 4.76363i | 0.188836 | − | 0.199352i | −0.624702 | − | 0.780863i | \(-0.714780\pi\) |
0.813538 | + | 0.581511i | \(0.197538\pi\) | |||||||
\(572\) | −3.70417 | − | 16.8282i | −0.154879 | − | 0.703623i | ||||
\(573\) | −15.6884 | − | 40.3221i | −0.655393 | − | 1.68448i | ||||
\(574\) | −18.1702 | − | 2.97885i | −0.758407 | − | 0.124335i | ||||
\(575\) | 2.57612 | − | 3.03284i | 0.107432 | − | 0.126478i | ||||
\(576\) | 11.5235 | + | 22.6137i | 0.480147 | + | 0.942237i | ||||
\(577\) | 7.57644 | + | 5.75946i | 0.315411 | + | 0.239770i | 0.750887 | − | 0.660431i | \(-0.229627\pi\) |
−0.435475 | + | 0.900201i | \(0.643420\pi\) | |||||||
\(578\) | −7.01657 | − | 4.22173i | −0.291851 | − | 0.175601i | ||||
\(579\) | 2.62317 | + | 3.93720i | 0.109015 | + | 0.163624i | ||||
\(580\) | −0.567157 | + | 0.0616820i | −0.0235499 | + | 0.00256121i | ||||
\(581\) | −12.3549 | + | 9.39195i | −0.512568 | + | 0.389644i | ||||
\(582\) | −17.0902 | + | 14.2798i | −0.708413 | + | 0.591918i | ||||
\(583\) | −30.9706 | + | 1.67918i | −1.28267 | + | 0.0695445i | ||||
\(584\) | 2.74648 | − | 25.2535i | 0.113650 | − | 1.04500i | ||||
\(585\) | 0.990492 | − | 5.48361i | 0.0409518 | − | 0.226719i | ||||
\(586\) | −9.56686 | + | 8.12616i | −0.395203 | + | 0.335689i | ||||
\(587\) | −42.5832 | + | 14.3480i | −1.75760 | + | 0.592204i | −0.998286 | − | 0.0585224i | \(-0.981361\pi\) |
−0.759312 | + | 0.650726i | \(0.774465\pi\) | |||||||
\(588\) | −5.28478 | − | 0.0428200i | −0.217941 | − | 0.00176587i | ||||
\(589\) | − | 17.5454i | − | 0.722946i | ||||||
\(590\) | −1.49923 | − | 2.52820i | −0.0617223 | − | 0.104084i | ||||
\(591\) | −2.24857 | − | 4.96539i | −0.0924940 | − | 0.204249i | ||||
\(592\) | 5.73098 | − | 12.3873i | 0.235542 | − | 0.509115i | ||||
\(593\) | 9.13588 | + | 27.1143i | 0.375166 | + | 1.11345i | 0.954461 | + | 0.298335i | \(0.0964311\pi\) |
−0.579296 | + | 0.815118i | \(0.696672\pi\) | |||||||
\(594\) | 23.7792 | − | 10.3074i | 0.975671 | − | 0.422916i | ||||
\(595\) | −2.34138 | + | 1.40876i | −0.0959871 | + | 0.0577535i | ||||
\(596\) | 13.2654 | + | 1.44270i | 0.543370 | + | 0.0590951i | ||||
\(597\) | 7.90815 | + | 15.2129i | 0.323659 | + | 0.622624i | ||||
\(598\) | 4.90685 | − | 1.36238i | 0.200656 | − | 0.0557118i | ||||
\(599\) | −14.4123 | − | 18.9591i | −0.588870 | − | 0.774646i | 0.401083 | − | 0.916042i | \(-0.368634\pi\) |
−0.989953 | + | 0.141396i | \(0.954841\pi\) | |||||||
\(600\) | 22.4285 | − | 13.2485i | 0.915639 | − | 0.540866i | ||||
\(601\) | 14.8489 | − | 2.43435i | 0.605699 | − | 0.0992994i | 0.148875 | − | 0.988856i | \(-0.452435\pi\) |
0.456825 | + | 0.889557i | \(0.348987\pi\) | |||||||
\(602\) | −3.73106 | + | 6.20107i | −0.152067 | + | 0.252737i | ||||
\(603\) | −0.664381 | − | 3.26982i | −0.0270557 | − | 0.133157i | ||||
\(604\) | −1.91121 | − | 0.761497i | −0.0777662 | − | 0.0309849i | ||||
\(605\) | 2.13546 | + | 1.81388i | 0.0868189 | + | 0.0737446i | ||||
\(606\) | −3.76754 | − | 14.0088i | −0.153046 | − | 0.569069i | ||||
\(607\) | −2.15699 | + | 39.7833i | −0.0875494 | + | 1.61475i | 0.543773 | + | 0.839232i | \(0.316995\pi\) |
−0.631322 | + | 0.775521i | \(0.717487\pi\) | |||||||
\(608\) | −15.4183 | + | 3.39383i | −0.625295 | + | 0.137638i | ||||
\(609\) | 2.21775 | − | 6.40993i | 0.0898678 | − | 0.259744i | ||||
\(610\) | −3.01467 | − | 1.01576i | −0.122060 | − | 0.0411269i | ||||
\(611\) | −42.5945 | + | 16.9712i | −1.72319 | + | 0.686581i | ||||
\(612\) | −8.79076 | + | 5.75458i | −0.355345 | + | 0.232615i | ||||
\(613\) | 3.69391 | − | 16.7816i | 0.149196 | − | 0.677803i | −0.841335 | − | 0.540514i | \(-0.818230\pi\) |
0.990531 | − | 0.137290i | \(-0.0438391\pi\) | |||||||
\(614\) | 16.3465 | + | 24.1093i | 0.659692 | + | 0.972973i | ||||
\(615\) | 0.357896 | − | 5.74027i | 0.0144318 | − | 0.231470i | ||||
\(616\) | −10.4348 | − | 19.6821i | −0.420430 | − | 0.793015i | ||||
\(617\) | 19.9744 | + | 13.5430i | 0.804141 | + | 0.545221i | 0.892595 | − | 0.450859i | \(-0.148882\pi\) |
−0.0884541 | + | 0.996080i | \(0.528193\pi\) | |||||||
\(618\) | 18.0939 | + | 7.37968i | 0.727841 | + | 0.296854i | ||||
\(619\) | 27.3777 | − | 12.6663i | 1.10040 | − | 0.509101i | 0.216269 | − | 0.976334i | \(-0.430611\pi\) |
0.884134 | + | 0.467233i | \(0.154749\pi\) | |||||||
\(620\) | −0.921198 | + | 0.426191i | −0.0369962 | + | 0.0171163i | ||||
\(621\) | −1.89065 | − | 3.78571i | −0.0758692 | − | 0.151915i | ||||
\(622\) | −10.9707 | − | 7.43829i | −0.439884 | − | 0.298248i | ||||
\(623\) | 9.44188 | + | 17.8093i | 0.378281 | + | 0.713513i | ||||
\(624\) | 19.7149 | + | 1.22919i | 0.789228 | + | 0.0492070i | ||||
\(625\) | −13.0801 | − | 19.2917i | −0.523205 | − | 0.771669i | ||||
\(626\) | 2.55755 | − | 11.6191i | 0.102220 | − | 0.464392i | ||||
\(627\) | 4.85487 | + | 31.1945i | 0.193885 | + | 1.24579i | ||||
\(628\) | −1.67658 | + | 0.668012i | −0.0669030 | + | 0.0266566i | ||||
\(629\) | 30.7475 | + | 10.3600i | 1.22598 | + | 0.413082i | ||||
\(630\) | −0.173948 | − | 1.88280i | −0.00693024 | − | 0.0750127i | ||||
\(631\) | 23.4443 | − | 5.16049i | 0.933304 | − | 0.205436i | 0.277810 | − | 0.960636i | \(-0.410392\pi\) |
0.655494 | + | 0.755200i | \(0.272460\pi\) | |||||||
\(632\) | −0.612849 | + | 11.3033i | −0.0243778 | + | 0.449623i | ||||
\(633\) | 33.3920 | − | 8.98047i | 1.32721 | − | 0.356942i | ||||
\(634\) | −2.51704 | − | 2.13799i | −0.0999644 | − | 0.0849106i | ||||
\(635\) | 1.96620 | + | 0.783405i | 0.0780262 | + | 0.0310885i | ||||
\(636\) | −1.93921 | + | 8.48198i | −0.0768946 | + | 0.336332i | ||||
\(637\) | −12.1772 | + | 20.2387i | −0.482479 | + | 0.801887i | ||||
\(638\) | −11.7025 | + | 1.91852i | −0.463304 | + | 0.0759549i | ||||
\(639\) | −24.0392 | − | 16.8740i | −0.950975 | − | 0.667523i | ||||
\(640\) | −0.406027 | − | 0.534120i | −0.0160496 | − | 0.0211129i | ||||
\(641\) | 41.2480 | − | 11.4524i | 1.62920 | − | 0.452345i | 0.671709 | − | 0.740815i | \(-0.265561\pi\) |
0.957489 | + | 0.288471i | \(0.0931468\pi\) | |||||||
\(642\) | −9.56659 | + | 4.97301i | −0.377563 | + | 0.196269i | ||||
\(643\) | 20.3046 | + | 2.20826i | 0.800734 | + | 0.0870851i | 0.499331 | − | 0.866411i | \(-0.333579\pi\) |
0.301404 | + | 0.953497i | \(0.402545\pi\) | |||||||
\(644\) | −0.817993 | + | 0.492170i | −0.0322334 | + | 0.0193942i | ||||
\(645\) | −2.04387 | − | 0.965774i | −0.0804772 | − | 0.0380273i | ||||
\(646\) | 7.39708 | + | 21.9538i | 0.291034 | + | 0.863759i | ||||
\(647\) | 7.40311 | − | 16.0016i | 0.291046 | − | 0.629087i | −0.705803 | − | 0.708409i | \(-0.749413\pi\) |
0.996849 | + | 0.0793220i | \(0.0252755\pi\) | |||||||
\(648\) | −3.59335 | − | 27.4668i | −0.141160 | − | 1.07900i | ||||
\(649\) | 18.7632 | + | 28.0583i | 0.736520 | + | 1.10138i | ||||
\(650\) | − | 30.5557i | − | 1.19849i | ||||||
\(651\) | 0.0977744 | − | 12.0672i | 0.00383208 | − | 0.472949i | ||||
\(652\) | 14.6704 | − | 4.94303i | 0.574537 | − | 0.193584i | ||||
\(653\) | −14.6338 | + | 12.4301i | −0.572665 | + | 0.486426i | −0.886296 | − | 0.463119i | \(-0.846730\pi\) |
0.313631 | + | 0.949545i | \(0.398455\pi\) | |||||||
\(654\) | 5.69946 | + | 3.93211i | 0.222866 | + | 0.153758i | ||||
\(655\) | −0.00945932 | + | 0.0869770i | −0.000369606 | + | 0.00339847i | ||||
\(656\) | 20.3580 | − | 1.10378i | 0.794848 | − | 0.0430954i | ||||
\(657\) | −10.7591 | + | 22.2999i | −0.419753 | + | 0.870002i | ||||
\(658\) | −12.3858 | + | 9.41546i | −0.482850 | + | 0.367053i | ||||
\(659\) | −29.5807 | + | 3.21709i | −1.15230 | + | 0.125320i | −0.664260 | − | 0.747501i | \(-0.731253\pi\) |
−0.488040 | + | 0.872821i | \(0.662288\pi\) | |||||||
\(660\) | 1.51990 | − | 1.01264i | 0.0591618 | − | 0.0394168i | ||||
\(661\) | 38.5144 | + | 23.1734i | 1.49804 | + | 0.901339i | 0.999404 | + | 0.0345257i | \(0.0109921\pi\) |
0.498633 | + | 0.866813i | \(0.333836\pi\) | |||||||
\(662\) | 14.8546 | + | 11.2922i | 0.577341 | + | 0.438883i | ||||
\(663\) | 2.16223 | + | 46.9075i | 0.0839742 | + | 1.82174i | ||||
\(664\) | 18.7749 | − | 22.1035i | 0.728607 | − | 0.857782i | ||||
\(665\) | 2.27291 | + | 0.372624i | 0.0881395 | + | 0.0144497i | ||||
\(666\) | −15.7021 | + | 16.0475i | −0.608443 | + | 0.621827i | ||||
\(667\) | 0.416228 | + | 1.89094i | 0.0161164 | + | 0.0732176i | ||||
\(668\) | −0.589155 | + | 0.621963i | −0.0227951 | + | 0.0240645i | ||||
\(669\) | 31.3788 | − | 3.15562i | 1.21317 | − | 0.122003i | ||||
\(670\) | 0.157532 | + | 0.395376i | 0.00608599 | + | 0.0152747i | ||||
\(671\) | 35.2001 | + | 9.77326i | 1.35889 | + | 0.377293i | ||||
\(672\) | −10.6231 | + | 2.24824i | −0.409796 | + | 0.0867279i | ||||
\(673\) | −0.567066 | + | 0.384480i | −0.0218588 | + | 0.0148206i | −0.572068 | − | 0.820207i | \(-0.693858\pi\) |
0.550209 | + | 0.835027i | \(0.314548\pi\) | |||||||
\(674\) | 2.63986 | + | 1.39957i | 0.101684 | + | 0.0539093i | ||||
\(675\) | −24.9219 | + | 4.85385i | −0.959243 | + | 0.186825i | ||||
\(676\) | −6.93114 | + | 10.2227i | −0.266582 | + | 0.393179i | ||||
\(677\) | 13.4218 | + | 14.1692i | 0.515840 | + | 0.544566i | 0.930922 | − | 0.365218i | \(-0.119006\pi\) |
−0.415082 | + | 0.909784i | \(0.636247\pi\) | |||||||
\(678\) | 0.964063 | − | 1.11652i | 0.0370246 | − | 0.0428797i | ||||
\(679\) | −7.83461 | − | 16.9342i | −0.300665 | − | 0.649876i | ||||
\(680\) | 3.70711 | − | 3.51156i | 0.142161 | − | 0.134662i | ||||
\(681\) | 5.10588 | − | 29.6383i | 0.195658 | − | 1.13574i | ||||
\(682\) | −18.6407 | + | 9.88267i | −0.713789 | + | 0.378427i | ||||
\(683\) | −17.4128 | + | 32.8440i | −0.666283 | + | 1.25674i | 0.287941 | + | 0.957648i | \(0.407029\pi\) |
−0.954224 | + | 0.299094i | \(0.903316\pi\) | |||||||
\(684\) | 8.78762 | + | 1.10006i | 0.336003 | + | 0.0420620i | ||||
\(685\) | 6.89231 | + | 1.51711i | 0.263341 | + | 0.0579658i | ||||
\(686\) | −5.64509 | + | 20.3318i | −0.215531 | + | 0.776271i | ||||
\(687\) | −34.5626 | + | 35.9002i | −1.31865 | + | 1.36968i | ||||
\(688\) | 2.55867 | − | 7.59387i | 0.0975485 | − | 0.289514i | ||||
\(689\) | 28.2311 | + | 26.7419i | 1.07552 | + | 1.01879i | ||||
\(690\) | 0.323154 | + | 0.432328i | 0.0123023 | + | 0.0164585i | ||||
\(691\) | −15.5632 | − | 0.843814i | −0.592053 | − | 0.0321002i | −0.244321 | − | 0.969694i | \(-0.578565\pi\) |
−0.347732 | + | 0.937594i | \(0.613048\pi\) | |||||||
\(692\) | 1.30059 | − | 7.93324i | 0.0494410 | − | 0.301577i | ||||
\(693\) | 3.16519 | + | 21.4816i | 0.120236 | + | 0.816019i | ||||
\(694\) | −5.32362 | + | 13.3613i | −0.202082 | + | 0.507187i | ||||
\(695\) | 1.53666 | − | 2.02144i | 0.0582888 | − | 0.0766776i | ||||
\(696\) | −1.47244 | + | 12.5891i | −0.0558129 | + | 0.477187i | ||||
\(697\) | 7.84097 | + | 47.8278i | 0.296998 | + | 1.81161i | ||||
\(698\) | −4.23969 | − | 38.9833i | −0.160475 | − | 1.47554i | ||||
\(699\) | 8.66194 | − | 16.0231i | 0.327625 | − | 0.606049i | ||||
\(700\) | 1.53241 | + | 5.51924i | 0.0579197 | + | 0.208608i | ||||
\(701\) | −0.810681 | − | 14.9521i | −0.0306190 | − | 0.564734i | −0.973087 | − | 0.230438i | \(-0.925984\pi\) |
0.942468 | − | 0.334296i | \(-0.108499\pi\) | |||||||
\(702\) | −29.8841 | − | 12.7570i | −1.12790 | − | 0.481483i | ||||
\(703\) | −14.0998 | − | 23.4340i | −0.531783 | − | 0.883831i | ||||
\(704\) | 24.0680 | + | 28.3351i | 0.907098 | + | 1.06792i | ||||
\(705\) | −3.31338 | − | 3.55515i | −0.124789 | − | 0.133895i | ||||
\(706\) | −26.7978 | − | 12.3980i | −1.00855 | − | 0.466604i | ||||
\(707\) | 12.1538 | 0.457090 | ||||||||
\(708\) | 9.01607 | − | 2.89301i | 0.338845 | − | 0.108726i | ||||
\(709\) | −40.9989 | −1.53975 | −0.769873 | − | 0.638197i | \(-0.779681\pi\) | ||||
−0.769873 | + | 0.638197i | \(0.779681\pi\) | |||||||
\(710\) | 3.40006 | + | 1.57304i | 0.127602 | + | 0.0590350i | ||||
\(711\) | 4.24949 | − | 10.1824i | 0.159368 | − | 0.381870i | ||||
\(712\) | −24.3857 | − | 28.7091i | −0.913893 | − | 1.07592i | ||||
\(713\) | 1.77599 | + | 2.95172i | 0.0665113 | + | 0.110543i | ||||
\(714\) | 4.96514 | + | 15.1403i | 0.185816 | + | 0.566612i | ||||
\(715\) | −0.441900 | − | 8.15037i | −0.0165261 | − | 0.304807i | ||||
\(716\) | −3.89928 | − | 14.0439i | −0.145723 | − | 0.524847i | ||||
\(717\) | 16.4041 | + | 8.86791i | 0.612622 | + | 0.331178i | ||||
\(718\) | −2.65201 | − | 24.3848i | −0.0989722 | − | 0.910034i | ||||
\(719\) | 3.51465 | + | 21.4384i | 0.131074 | + | 0.799517i | 0.967767 | + | 0.251845i | \(0.0810374\pi\) |
−0.836693 | + | 0.547672i | \(0.815514\pi\) | |||||||
\(720\) | 0.636271 | + | 1.99464i | 0.0237124 | + | 0.0743357i | ||||
\(721\) | −9.90767 | + | 13.0333i | −0.368981 | + | 0.485386i | ||||
\(722\) | −0.754477 | + | 1.89359i | −0.0280787 | + | 0.0704723i | ||||
\(723\) | −5.15481 | + | 17.9989i | −0.191709 | + | 0.669387i | ||||
\(724\) | −2.82916 | + | 17.2571i | −0.105145 | + | 0.641355i | ||||
\(725\) | 11.6006 | + | 0.628965i | 0.430834 | + | 0.0233592i | ||||
\(726\) | 13.0862 | − | 9.78159i | 0.485674 | − | 0.363029i | ||||
\(727\) | 25.8953 | + | 24.5294i | 0.960404 | + | 0.909743i | 0.995976 | − | 0.0896238i | \(-0.0285665\pi\) |
−0.0355713 | + | 0.999367i | \(0.511325\pi\) | |||||||
\(728\) | −8.91799 | + | 26.4676i | −0.330523 | + | 0.980956i | ||||
\(729\) | −5.65773 | + | 26.4006i | −0.209546 | + | 0.977799i | ||||
\(730\) | 0.844913 | − | 3.04310i | 0.0312716 | − | 0.112630i | ||||
\(731\) | 18.6040 | + | 4.09505i | 0.688094 | + | 0.151461i | ||||
\(732\) | 5.35442 | − | 8.73806i | 0.197905 | − | 0.322968i | ||||
\(733\) | 2.05010 | − | 3.86690i | 0.0757222 | − | 0.142827i | −0.842760 | − | 0.538289i | \(-0.819071\pi\) |
0.918482 | + | 0.395462i | \(0.129416\pi\) | |||||||
\(734\) | 15.5566 | − | 8.24758i | 0.574204 | − | 0.304424i | ||||
\(735\) | −2.46713 | − | 0.425021i | −0.0910016 | − | 0.0156771i | ||||
\(736\) | 2.25034 | − | 2.13163i | 0.0829486 | − | 0.0785731i | ||||
\(737\) | −2.05220 | − | 4.43576i | −0.0755938 | − | 0.163393i | ||||
\(738\) | −32.1652 | − | 9.49461i | −1.18402 | − | 0.349502i | ||||
\(739\) | −18.6937 | − | 19.7347i | −0.687659 | − | 0.725953i | 0.284913 | − | 0.958553i | \(-0.408035\pi\) |
−0.972572 | + | 0.232600i | \(0.925277\pi\) | |||||||
\(740\) | −0.887877 | + | 1.30952i | −0.0326390 | + | 0.0481389i | ||||
\(741\) | 24.2076 | − | 31.3146i | 0.889289 | − | 1.15037i | ||||
\(742\) | 11.6579 | + | 6.18061i | 0.427973 | + | 0.226897i | ||||
\(743\) | 17.1277 | − | 11.6129i | 0.628355 | − | 0.426035i | −0.205009 | − | 0.978760i | \(-0.565722\pi\) |
0.833364 | + | 0.552725i | \(0.186412\pi\) | |||||||
\(744\) | 4.66911 | + | 22.0619i | 0.171178 | + | 0.808829i | ||||
\(745\) | 6.09045 | + | 1.69100i | 0.223137 | + | 0.0619536i | ||||
\(746\) | −6.08251 | − | 15.2660i | −0.222697 | − | 0.558926i | ||||
\(747\) | −24.4540 | + | 14.1789i | −0.894726 | + | 0.518780i | ||||
\(748\) | −10.5839 | + | 11.1733i | −0.386985 | + | 0.408535i | ||||
\(749\) | −1.94188 | − | 8.82205i | −0.0709547 | − | 0.322351i | ||||
\(750\) | 6.10666 | − | 2.37597i | 0.222984 | − | 0.0867580i | ||||
\(751\) | −15.9682 | − | 2.61786i | −0.582689 | − | 0.0955270i | −0.136774 | − | 0.990602i | \(-0.543673\pi\) |
−0.445915 | + | 0.895075i | \(0.647122\pi\) | |||||||
\(752\) | 11.1527 | − | 13.1300i | 0.406697 | − | 0.478801i | ||||
\(753\) | −31.0131 | + | 1.42957i | −1.13018 | + | 0.0520964i | ||||
\(754\) | 11.8360 | + | 8.99752i | 0.431043 | + | 0.327670i | ||||
\(755\) | −0.835055 | − | 0.502436i | −0.0303908 | − | 0.0182855i | ||||
\(756\) | 6.03771 | + | 0.805558i | 0.219589 | + | 0.0292979i | ||||
\(757\) | −10.3011 | + | 1.12031i | −0.374401 | + | 0.0407185i | −0.293385 | − | 0.955994i | \(-0.594782\pi\) |
−0.0810155 | + | 0.996713i | \(0.525816\pi\) | |||||||
\(758\) | 7.16134 | − | 5.44391i | 0.260112 | − | 0.197732i | ||||
\(759\) | −3.97433 | − | 4.75652i | −0.144259 | − | 0.172651i | ||||
\(760\) | −4.29775 | + | 0.233017i | −0.155896 | + | 0.00845243i | ||||
\(761\) | −5.36812 | + | 49.3591i | −0.194594 | + | 1.78926i | 0.336227 | + | 0.941781i | \(0.390849\pi\) |
−0.530822 | + | 0.847484i | \(0.678117\pi\) | |||||||
\(762\) | 7.00854 | − | 10.1586i | 0.253893 | − | 0.368009i | ||||
\(763\) | −4.42147 | + | 3.75563i | −0.160068 | + | 0.135963i | ||||
\(764\) | −16.8481 | + | 5.67679i | −0.609544 | + | 0.205379i | ||||
\(765\) | −4.55032 | + | 2.01634i | −0.164517 | + | 0.0729010i | ||||
\(766\) | − | 20.4949i | − | 0.740510i | ||||||
\(767\) | 9.36135 | − | 41.2701i | 0.338019 | − | 1.49018i | ||||
\(768\) | 23.1332 | − | 10.4758i | 0.834747 | − | 0.378015i | ||||
\(769\) | −17.8362 | + | 38.5523i | −0.643189 | + | 1.39023i | 0.261936 | + | 0.965085i | \(0.415639\pi\) |
−0.905125 | + | 0.425146i | \(0.860223\pi\) | |||||||
\(770\) | −0.884358 | − | 2.62468i | −0.0318700 | − | 0.0945869i | ||||
\(771\) | 13.5390 | − | 28.6526i | 0.487596 | − | 1.03190i | ||||
\(772\) | 1.66576 | − | 1.00226i | 0.0599521 | − | 0.0360720i | ||||
\(773\) | −48.7735 | − | 5.30443i | −1.75426 | − | 0.190787i | −0.826240 | − | 0.563319i | \(-0.809524\pi\) |
−0.928020 | + | 0.372532i | \(0.878490\pi\) | |||||||
\(774\) | −8.14615 | + | 10.3631i | −0.292807 | + | 0.372495i | ||||
\(775\) | 19.9161 | − | 5.52968i | 0.715408 | − | 0.198632i | ||||
\(776\) | 21.1009 | + | 27.7578i | 0.757479 | + | 0.996446i | ||||
\(777\) | −9.56678 | − | 16.1957i | −0.343206 | − | 0.581019i | ||||
\(778\) | 21.4430 | − | 3.51541i | 0.768770 | − | 0.126034i | ||||
\(779\) | 21.0616 | − | 35.0047i | 0.754610 | − | 1.25417i | ||||
\(780\) | −2.23215 | − | 0.510331i | −0.0799239 | − | 0.0182728i | ||||
\(781\) | −39.9658 | − | 15.9238i | −1.43009 | − | 0.569800i | ||||
\(782\) | −3.46665 | − | 2.94460i | −0.123967 | − | 0.105299i | ||||
\(783\) | 5.45838 | − | 11.0830i | 0.195067 | − | 0.396074i | ||||
\(784\) | 0.480454 | − | 8.86145i | 0.0171591 | − | 0.316480i | ||||
\(785\) | −0.834927 | + | 0.183781i | −0.0297998 | + | 0.00655944i | ||||
\(786\) | 0.482124 | + | 0.166808i | 0.0171968 | + | 0.00594985i | ||||
\(787\) | −11.6141 | − | 3.91324i | −0.413998 | − | 0.139492i | 0.104592 | − | 0.994515i | \(-0.466646\pi\) |
−0.518590 | + | 0.855023i | \(0.673543\pi\) | |||||||
\(788\) | −2.08072 | + | 0.829036i | −0.0741227 | + | 0.0295332i | ||||
\(789\) | −14.3333 | + | 2.23072i | −0.510278 | + | 0.0794157i | ||||
\(790\) | −0.302545 | + | 1.37448i | −0.0107641 | + | 0.0489017i | ||||
\(791\) | 0.693564 | + | 1.02293i | 0.0246603 | + | 0.0363712i | ||||
\(792\) | −14.4059 | − | 37.9326i | −0.511893 | − | 1.34787i | ||||
\(793\) | −21.4536 | − | 40.4659i | −0.761841 | − | 1.43699i | ||||
\(794\) | 32.7931 | + | 22.2343i | 1.16379 | + | 0.789066i | ||||
\(795\) | −1.55652 | + | 3.81636i | −0.0552042 | + | 0.135352i | ||||
\(796\) | 6.39419 | − | 2.95827i | 0.226636 | − | 0.104853i | ||||
\(797\) | 23.1302 | − | 10.7012i | 0.819313 | − | 0.379055i | 0.0349751 | − | 0.999388i | \(-0.488865\pi\) |
0.784338 | + | 0.620334i | \(0.213003\pi\) | |||||||
\(798\) | 5.07208 | − | 12.4360i | 0.179550 | − | 0.440229i | ||||
\(799\) | 33.8961 | + | 22.9821i | 1.19916 | + | 0.813050i | ||||
\(800\) | −8.71170 | − | 16.4320i | −0.308005 | − | 0.580959i | ||||
\(801\) | 13.0352 | + | 34.3231i | 0.460575 | + | 1.21275i | ||||
\(802\) | 11.5529 | + | 17.0393i | 0.407948 | + | 0.601678i | ||||
\(803\) | −7.79653 | + | 35.4200i | −0.275133 | + | 1.24994i | ||||
\(804\) | −1.35476 | + | 0.210844i | −0.0477786 | + | 0.00743590i | ||||
\(805\) | −0.420096 | + | 0.167382i | −0.0148064 | + | 0.00589942i | ||||
\(806\) | 25.0672 | + | 8.44612i | 0.882954 | + | 0.297502i | ||||
\(807\) | 21.0254 | + | 7.27449i | 0.740128 | + | 0.256074i | ||||
\(808\) | −22.1807 | + | 4.88234i | −0.780315 | + | 0.171760i | ||||
\(809\) | 1.71770 | − | 31.6812i | 0.0603912 | − | 1.11385i | −0.798600 | − | 0.601862i | \(-0.794426\pi\) |
0.858992 | − | 0.511989i | \(-0.171091\pi\) | |||||||
\(810\) | 0.111598 | − | 3.44217i | 0.00392114 | − | 0.120945i | ||||
\(811\) | −5.69314 | − | 4.83580i | −0.199913 | − | 0.169808i | 0.541838 | − | 0.840483i | \(-0.317729\pi\) |
−0.741751 | + | 0.670675i | \(0.766004\pi\) | |||||||
\(812\) | −2.58917 | − | 1.03162i | −0.0908620 | − | 0.0362027i | ||||
\(813\) | −11.2078 | − | 2.56241i | −0.393075 | − | 0.0898675i | ||||
\(814\) | −16.9550 | + | 28.1795i | −0.594274 | + | 0.987690i | ||||
\(815\) | 7.23662 | − | 1.18638i | 0.253488 | − | 0.0415572i | ||||
\(816\) | −8.97311 | − | 15.1907i | −0.314122 | − | 0.531781i | ||||
\(817\) | −9.71714 | − | 12.7827i | −0.339960 | − | 0.447209i | ||||
\(818\) | −33.2291 | + | 9.22602i | −1.16183 | + | 0.322580i | ||||
\(819\) | 16.8237 | − | 21.4023i | 0.587868 | − | 0.747857i | ||||
\(820\) | −2.34948 | − | 0.255521i | −0.0820472 | − | 0.00892317i | ||||
\(821\) | −41.9457 | + | 25.2379i | −1.46391 | + | 0.880808i | −0.999987 | − | 0.00506543i | \(-0.998388\pi\) |
−0.463927 | + | 0.885873i | \(0.653560\pi\) | |||||||
\(822\) | 17.5813 | − | 37.2074i | 0.613220 | − | 1.29776i | ||||
\(823\) | 8.81109 | + | 26.1504i | 0.307135 | + | 0.911545i | 0.984421 | + | 0.175825i | \(0.0562593\pi\) |
−0.677286 | + | 0.735720i | \(0.736844\pi\) | |||||||
\(824\) | 12.8459 | − | 27.7659i | 0.447507 | − | 0.967272i | ||||
\(825\) | −33.8794 | + | 15.3422i | −1.17953 | + | 0.534148i | ||||
\(826\) | −0.685699 | − | 14.3432i | −0.0238585 | − | 0.499065i | ||||
\(827\) | 32.1296i | 1.11725i | 0.829419 | + | 0.558627i | \(0.188672\pi\) | ||||
−0.829419 | + | 0.558627i | \(0.811328\pi\) | |||||||
\(828\) | −1.58972 | + | 0.704438i | −0.0552466 | + | 0.0244809i | ||||
\(829\) | 5.48574 | − | 1.84836i | 0.190528 | − | 0.0641962i | −0.222420 | − | 0.974951i | \(-0.571396\pi\) |
0.412948 | + | 0.910755i | \(0.364499\pi\) | |||||||
\(830\) | 2.74807 | − | 2.33424i | 0.0953871 | − | 0.0810225i | ||||
\(831\) | 25.2991 | − | 36.6702i | 0.877617 | − | 1.27208i | ||||
\(832\) | 5.03948 | − | 46.3372i | 0.174713 | − | 1.60646i | ||||
\(833\) | 21.0655 | − | 1.14214i | 0.729876 | − | 0.0395727i | ||||
\(834\) | −9.49372 | − | 11.3622i | −0.328741 | − | 0.393440i | ||||
\(835\) | −0.323070 | + | 0.245592i | −0.0111803 | + | 0.00849905i | ||||
\(836\) | 12.8965 | − | 1.40258i | 0.446034 | − | 0.0485091i | ||||
\(837\) | 2.90685 | − | 21.7870i | 0.100475 | − | 0.753069i | ||||
\(838\) | 21.5491 | + | 12.9656i | 0.744400 | + | 0.447891i | ||||
\(839\) | −11.0619 | − | 8.40903i | −0.381899 | − | 0.290312i | 0.396558 | − | 0.918009i | \(-0.370204\pi\) |
−0.778457 | + | 0.627697i | \(0.783998\pi\) | |||||||
\(840\) | −2.95715 | + | 0.136312i | −0.102032 | + | 0.00470321i | ||||
\(841\) | 15.1146 | − | 17.7943i | 0.521194 | − | 0.613597i | ||||
\(842\) | −23.6369 | − | 3.87508i | −0.814583 | − | 0.133544i | ||||
\(843\) | −34.6597 | + | 13.4853i | −1.19374 | + | 0.464459i | ||||
\(844\) | −3.05446 | − | 13.8766i | −0.105139 | − | 0.477651i | ||||
\(845\) | −4.02345 | + | 4.24750i | −0.138411 | + | 0.146118i | ||||
\(846\) | −24.5152 | + | 14.2144i | −0.842851 | + | 0.488702i | ||||
\(847\) | 5.06649 | + | 12.7159i | 0.174087 | + | 0.436925i | ||||
\(848\) | −14.0778 | − | 3.90869i | −0.483435 | − | 0.134225i | ||||
\(849\) | 3.14153 | + | 14.8440i | 0.107817 | + | 0.509444i | ||||
\(850\) | −22.5888 | + | 15.3156i | −0.774791 | + | 0.525321i | ||||
\(851\) | 4.74410 | + | 2.51516i | 0.162626 | + | 0.0862187i | ||||
\(852\) | −7.38122 | + | 9.54825i | −0.252876 | + | 0.327118i | ||||
\(853\) | 15.4261 | − | 22.7518i | 0.528179 | − | 0.779006i | −0.466223 | − | 0.884667i | \(-0.654386\pi\) |
0.994402 | + | 0.105661i | \(0.0336959\pi\) | |||||||
\(854\) | −10.6878 | − | 11.2829i | −0.365728 | − | 0.386094i | ||||
\(855\) | 4.02354 | + | 1.18768i | 0.137602 | + | 0.0406179i | ||||
\(856\) | 7.08788 | + | 15.3202i | 0.242259 | + | 0.523634i | ||||
\(857\) | 19.5208 | − | 18.4911i | 0.666818 | − | 0.631644i | −0.277481 | − | 0.960731i | \(-0.589500\pi\) |
0.944300 | + | 0.329087i | \(0.106741\pi\) | |||||||
\(858\) | −46.9047 | − | 8.08042i | −1.60130 | − | 0.275861i | ||||
\(859\) | −36.8178 | + | 19.5196i | −1.25621 | + | 0.666000i | −0.957524 | − | 0.288353i | \(-0.906893\pi\) |
−0.298684 | + | 0.954352i | \(0.596548\pi\) | |||||||
\(860\) | −0.435100 | + | 0.820686i | −0.0148368 | + | 0.0279852i | ||||
\(861\) | 14.6806 | − | 23.9577i | 0.500312 | − | 0.816477i | ||||
\(862\) | 26.5693 | + | 5.84835i | 0.904954 | + | 0.199196i | ||||
\(863\) | 4.49275 | − | 16.1814i | 0.152935 | − | 0.550822i | −0.846884 | − | 0.531778i | \(-0.821524\pi\) |
0.999819 | − | 0.0190438i | \(-0.00606220\pi\) | |||||||
\(864\) | −19.7080 | + | 1.65984i | −0.670479 | + | 0.0564691i | ||||
\(865\) | 1.21594 | − | 3.60879i | 0.0413433 | − | 0.122703i | ||||
\(866\) | −7.35977 | − | 6.97155i | −0.250095 | − | 0.236903i | ||||
\(867\) | 10.0089 | − | 7.48143i | 0.339922 | − | 0.254083i | ||||
\(868\) | −4.95144 | − | 0.268459i | −0.168063 | − | 0.00911210i | ||||
\(869\) | 2.61470 | − | 15.9490i | 0.0886977 | − | 0.541032i | ||||
\(870\) | −0.433870 | + | 1.51493i | −0.0147096 | + | 0.0513610i | ||||
\(871\) | −2.26807 | + | 5.69242i | −0.0768505 | + | 0.192880i | ||||
\(872\) | 6.56051 | − | 8.63021i | 0.222167 | − | 0.292256i | ||||
\(873\) | −10.3283 | − | 32.3780i | −0.349560 | − | 1.09583i | ||||
\(874\) | 0.620255 | + | 3.78339i | 0.0209805 | + | 0.127975i | ||||
\(875\) | 0.593556 | + | 5.45766i | 0.0200659 | + | 0.184503i | ||||
\(876\) | 8.95002 | + | 4.83830i | 0.302393 | + | 0.163471i | ||||
\(877\) | −6.13501 | − | 22.0963i | −0.207165 | − | 0.746140i | −0.991978 | − | 0.126408i | \(-0.959655\pi\) |
0.784814 | − | 0.619732i | \(-0.212759\pi\) | |||||||
\(878\) | −0.378479 | − | 6.98063i | −0.0127730 | − | 0.235585i | ||||
\(879\) | −5.96888 | − | 18.2011i | −0.201325 | − | 0.613907i | ||||
\(880\) | 1.58109 | + | 2.62779i | 0.0532985 | + | 0.0885829i | ||||
\(881\) | −19.4185 | − | 22.8612i | −0.654225 | − | 0.770213i | 0.330599 | − | 0.943771i | \(-0.392749\pi\) |
−0.984824 | + | 0.173559i | \(0.944473\pi\) | |||||||
\(882\) | −5.62235 | + | 13.4720i | −0.189314 | + | 0.453624i | ||||
\(883\) | 34.6462 | + | 16.0290i | 1.16594 | + | 0.539420i | 0.904781 | − | 0.425877i | \(-0.140034\pi\) |
0.261156 | + | 0.965297i | \(0.415896\pi\) | |||||||
\(884\) | 19.2954 | 0.648973 | ||||||||
\(885\) | 4.43635 | − | 0.661409i | 0.149126 | − | 0.0222330i | ||||
\(886\) | −7.63545 | −0.256518 | ||||||||
\(887\) | 33.7210 | + | 15.6010i | 1.13224 | + | 0.523830i | 0.894308 | − | 0.447453i | \(-0.147669\pi\) |
0.237931 | + | 0.971282i | \(0.423531\pi\) | |||||||
\(888\) | 23.9655 | + | 25.7142i | 0.804229 | + | 0.862912i | ||||
\(889\) | 6.69399 | + | 7.88077i | 0.224509 | + | 0.264313i | ||||
\(890\) | −2.41442 | − | 4.01280i | −0.0809317 | − | 0.134510i | ||||
\(891\) | 0.860370 | + | 39.5401i | 0.0288235 | + | 1.32464i | ||||
\(892\) | −0.701585 | − | 12.9400i | −0.0234908 | − | 0.433262i | ||||
\(893\) | −9.23486 | − | 33.2610i | −0.309033 | − | 1.11304i | ||||
\(894\) | 17.5277 | − | 32.4232i | 0.586214 | − | 1.08439i | ||||
\(895\) | −0.746482 | − | 6.86379i | −0.0249521 | − | 0.229431i | ||||
\(896\) | −0.530278 | − | 3.23455i | −0.0177154 | − | 0.108059i | ||||
\(897\) | −0.902774 | + | 7.71851i | −0.0301427 | + | 0.257714i | ||||
\(898\) | −0.273847 | + | 0.360239i | −0.00913839 | + | 0.0120213i | ||||
\(899\) | −3.72258 | + | 9.34298i | −0.124155 | + | 0.311606i | ||||
\(900\) | 1.52084 | + | 10.3217i | 0.0506947 | + | 0.344056i | ||||
\(901\) | 5.61899 | − | 34.2743i | 0.187196 | − | 1.14184i | ||||
\(902\) | −49.0531 | − | 2.65958i | −1.63329 | − | 0.0885544i | ||||
\(903\) | −6.61190 | − | 8.84566i | −0.220030 | − | 0.294365i | ||||
\(904\) | −1.67668 | − | 1.58824i | −0.0557657 | − | 0.0528241i | ||||
\(905\) | −2.64503 | + | 7.85016i | −0.0879237 | + | 0.260948i | ||||
\(906\) | −3.94133 | + | 4.09386i | −0.130942 | + | 0.136009i | ||||
\(907\) | 6.04285 | − | 21.7644i | 0.200650 | − | 0.722675i | −0.792907 | − | 0.609342i | \(-0.791434\pi\) |
0.993557 | − | 0.113333i | \(-0.0361526\pi\) | |||||||
\(908\) | −12.0692 | − | 2.65664i | −0.400531 | − | 0.0881636i | ||||
\(909\) | 21.9657 | + | 2.74974i | 0.728555 | + | 0.0912030i | ||||
\(910\) | −1.62652 | + | 3.06793i | −0.0539185 | + | 0.101701i | ||||
\(911\) | −35.0804 | + | 18.5985i | −1.16227 | + | 0.616195i | −0.933954 | − | 0.357393i | \(-0.883666\pi\) |
−0.228312 | + | 0.973588i | \(0.573321\pi\) | |||||||
\(912\) | −2.52473 | + | 14.6554i | −0.0836023 | + | 0.485289i | ||||
\(913\) | −30.0604 | + | 28.4748i | −0.994855 | + | 0.942377i | ||||
\(914\) | −1.96831 | − | 4.25444i | −0.0651061 | − | 0.140724i | ||||
\(915\) | 3.17262 | − | 3.67434i | 0.104884 | − | 0.121470i | ||||
\(916\) | 14.0822 | + | 14.8664i | 0.465290 | + | 0.491201i | ||||
\(917\) | −0.239864 | + | 0.353772i | −0.00792099 | + | 0.0116826i | ||||
\(918\) | 5.54812 | + | 28.4866i | 0.183115 | + | 0.940198i | ||||
\(919\) | −4.04641 | − | 2.14527i | −0.133479 | − | 0.0707660i | 0.400331 | − | 0.916371i | \(-0.368895\pi\) |
−0.533810 | + | 0.845605i | \(0.679240\pi\) | |||||||
\(920\) | 0.699438 | − | 0.474231i | 0.0230598 | − | 0.0156349i | ||||
\(921\) | −43.4869 | + | 9.20343i | −1.43294 | + | 0.303263i | ||||
\(922\) | 9.79422 | + | 2.71935i | 0.322556 | + | 0.0895571i | ||||
\(923\) | 19.9643 | + | 50.1067i | 0.657134 | + | 1.64928i | ||||
\(924\) | 8.87759 | − | 0.892779i | 0.292051 | − | 0.0293703i | ||||
\(925\) | 22.1566 | − | 23.3905i | 0.728506 | − | 0.769074i | ||||
\(926\) | 4.56409 | + | 20.7349i | 0.149985 | + | 0.681389i | ||||
\(927\) | −20.8550 | + | 21.3137i | −0.684967 | + | 0.700034i | ||||
\(928\) | 8.93036 | + | 1.46406i | 0.293153 | + | 0.0480601i | ||||
\(929\) | −2.83002 | + | 3.33176i | −0.0928500 | + | 0.109311i | −0.806625 | − | 0.591064i | \(-0.798708\pi\) |
0.713775 | + | 0.700375i | \(0.246984\pi\) | |||||||
\(930\) | 0.129099 | + | 2.80069i | 0.00423334 | + | 0.0918381i | ||||
\(931\) | −14.1563 | − | 10.7614i | −0.463955 | − | 0.352689i | ||||
\(932\) | −6.41322 | − | 3.85870i | −0.210072 | − | 0.126396i | ||||
\(933\) | 16.8327 | − | 11.2149i | 0.551078 | − | 0.367158i | ||||
\(934\) | −1.81287 | + | 0.197162i | −0.0593191 | + | 0.00645134i | ||||
\(935\) | −5.80381 | + | 4.41194i | −0.189805 | + | 0.144286i | ||||
\(936\) | −22.1058 | + | 45.8176i | −0.722550 | + | 1.49760i | ||||
\(937\) | 3.48362 | − | 0.188877i | 0.113805 | − | 0.00617033i | 0.00285156 | − | 0.999996i | \(-0.499092\pi\) |
0.110953 | + | 0.993826i | \(0.464610\pi\) | |||||||
\(938\) | −0.224805 | + | 2.06705i | −0.00734015 | + | 0.0674915i | ||||
\(939\) | 14.9438 | + | 10.3099i | 0.487674 | + | 0.336451i | ||||
\(940\) | −1.52200 | + | 1.29280i | −0.0496422 | + | 0.0421664i | ||||
\(941\) | −41.2625 | + | 13.9029i | −1.34512 | + | 0.453223i | −0.897505 | − | 0.441004i | \(-0.854622\pi\) |
−0.447613 | + | 0.894227i | \(0.647726\pi\) | |||||||
\(942\) | −0.0403907 | + | 4.98495i | −0.00131600 | + | 0.162419i | ||||
\(943\) | 8.02085i | 0.261195i | ||||||||
\(944\) | 4.15565 | + | 15.3474i | 0.135255 | + | 0.499514i | ||||
\(945\) | 2.76065 | + | 0.839271i | 0.0898038 | + | 0.0273015i | ||||
\(946\) | −8.10735 | + | 17.5238i | −0.263593 | + | 0.569746i | ||||
\(947\) | −12.8639 | − | 38.1786i | −0.418019 | − | 1.24064i | −0.925425 | − | 0.378930i | \(-0.876292\pi\) |
0.507406 | − | 0.861707i | \(-0.330605\pi\) | |||||||
\(948\) | −4.09923 | − | 1.93698i | −0.133137 | − | 0.0629103i | ||||
\(949\) | 38.9617 | − | 23.4424i | 1.26475 | − | 0.760974i | ||||
\(950\) | 22.8692 | + | 2.48718i | 0.741975 | + | 0.0806946i | ||||
\(951\) | 4.47155 | − | 2.32445i | 0.145000 | − | 0.0753755i | ||||
\(952\) | 24.0367 | − | 6.67375i | 0.779033 | − | 0.216297i | ||||
\(953\) | −12.1439 | − | 15.9750i | −0.393379 | − | 0.517481i | 0.556183 | − | 0.831060i | \(-0.312265\pi\) |
−0.949562 | + | 0.313578i | \(0.898472\pi\) | |||||||
\(954\) | 19.6711 | + | 13.8078i | 0.636874 | + | 0.447045i | ||||
\(955\) | −8.31085 | + | 1.36249i | −0.268933 | + | 0.0440893i | ||||
\(956\) | 3.95046 | − | 6.56571i | 0.127767 | − | 0.212350i | ||||
\(957\) | 4.03325 | − | 17.6412i | 0.130377 | − | 0.570259i | ||||
\(958\) | 3.76683 | + | 1.50084i | 0.121701 | + | 0.0484900i | ||||
\(959\) | 26.2776 | + | 22.3204i | 0.848547 | + | 0.720762i | ||||
\(960\) | 4.77077 | − | 1.28306i | 0.153976 | − | 0.0414105i | ||||
\(961\) | 0.709574 | − | 13.0873i | 0.0228895 | − | 0.422172i | ||||
\(962\) | 40.2677 | − | 8.86360i | 1.29828 | − | 0.285774i | ||||
\(963\) | −1.51364 | − | 16.3835i | −0.0487762 | − | 0.527952i | ||||
\(964\) | 7.29060 | + | 2.45649i | 0.234815 | + | 0.0791182i | ||||
\(965\) | 0.855484 | − | 0.340856i | 0.0275390 | − | 0.0109725i | ||||
\(966\) | 0.405508 | + | 2.60555i | 0.0130470 | + | 0.0838322i | ||||
\(967\) | 4.53289 | − | 20.5931i | 0.145768 | − | 0.662230i | −0.845893 | − | 0.533353i | \(-0.820932\pi\) |
0.991661 | − | 0.128877i | \(-0.0411373\pi\) | |||||||
\(968\) | −14.3545 | − | 21.1714i | −0.461372 | − | 0.680474i | ||||
\(969\) | −35.2836 | − | 2.19987i | −1.13347 | − | 0.0706701i | ||||
\(970\) | 2.03055 | + | 3.83002i | 0.0651970 | + | 0.122974i | ||||
\(971\) | 25.8406 | + | 17.5203i | 0.829264 | + | 0.562255i | 0.900325 | − | 0.435217i | \(-0.143328\pi\) |
−0.0710619 | + | 0.997472i | \(0.522639\pi\) | |||||||
\(972\) | 10.7298 | + | 2.82190i | 0.344158 | + | 0.0905124i | ||||
\(973\) | 11.2585 | − | 5.20871i | 0.360929 | − | 0.166984i | ||||
\(974\) | 35.2340 | − | 16.3010i | 1.12897 | − | 0.522317i | ||||
\(975\) | 43.1752 | + | 17.6093i | 1.38271 | + | 0.563947i | ||||
\(976\) | 14.2433 | + | 9.65721i | 0.455918 | + | 0.309120i | ||||
\(977\) | 20.6571 | + | 38.9634i | 0.660879 | + | 1.24655i | 0.956636 | + | 0.291287i | \(0.0940833\pi\) |
−0.295757 | + | 0.955263i | \(0.595572\pi\) | |||||||
\(978\) | 2.66091 | − | 42.6781i | 0.0850864 | − | 1.36469i | ||||
\(979\) | 30.1806 | + | 44.5130i | 0.964575 | + | 1.42264i | ||||
\(980\) | −0.221142 | + | 1.00466i | −0.00706413 | + | 0.0320927i | ||||
\(981\) | −8.84066 | + | 5.78726i | −0.282261 | + | 0.184773i | ||||
\(982\) | 4.58520 | − | 1.82691i | 0.146320 | − | 0.0582991i | ||||
\(983\) | −43.9852 | − | 14.8204i | −1.40291 | − | 0.472696i | −0.486762 | − | 0.873534i | \(-0.661822\pi\) |
−0.916149 | + | 0.400839i | \(0.868719\pi\) | |||||||
\(984\) | −17.1680 | + | 49.6203i | −0.547295 | + | 1.58184i | ||||
\(985\) | −1.03619 | + | 0.228082i | −0.0330157 | + | 0.00726729i | ||||
\(986\) | 0.718929 | − | 13.2599i | 0.0228954 | − | 0.422280i | ||||
\(987\) | −6.16609 | − | 22.9273i | −0.196269 | − | 0.729784i | ||||
\(988\) | −12.3959 | − | 10.5292i | −0.394366 | − | 0.334978i | ||||
\(989\) | 2.92864 | + | 1.16688i | 0.0931253 | + | 0.0371045i | ||||
\(990\) | −1.00449 | − | 4.94370i | −0.0319247 | − | 0.157121i | ||||
\(991\) | −4.38537 | + | 7.28855i | −0.139306 | + | 0.231528i | −0.918654 | − | 0.395063i | \(-0.870723\pi\) |
0.779348 | + | 0.626591i | \(0.215550\pi\) | |||||||
\(992\) | 15.8885 | − | 2.60479i | 0.504460 | − | 0.0827020i | ||||
\(993\) | −24.5166 | + | 14.4819i | −0.778010 | + | 0.459569i | ||||
\(994\) | 11.0760 | + | 14.5702i | 0.351310 | + | 0.462140i | ||||
\(995\) | 3.21573 | − | 0.892843i | 0.101945 | − | 0.0283050i | ||||
\(996\) | 5.35743 | + | 10.3061i | 0.169757 | + | 0.326561i | ||||
\(997\) | −46.1148 | − | 5.01528i | −1.46047 | − | 0.158836i | −0.656869 | − | 0.754005i | \(-0.728119\pi\) |
−0.803600 | + | 0.595169i | \(0.797085\pi\) | |||||||
\(998\) | −42.5729 | + | 25.6152i | −1.34762 | + | 0.810836i | ||||
\(999\) | −13.6260 | − | 31.4352i | −0.431106 | − | 0.994565i |
(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 | 177.2.f.a.98.6 | yes | 504 | |
3.2 | odd | 2 | inner | 177.2.f.a.98.13 | yes | 504 | |
59.56 | odd | 58 | inner | 177.2.f.a.56.13 | yes | 504 | |
177.56 | even | 58 | inner | 177.2.f.a.56.6 | ✓ | 504 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
177.2.f.a.56.6 | ✓ | 504 | 177.56 | even | 58 | inner | |
177.2.f.a.56.13 | yes | 504 | 59.56 | odd | 58 | inner | |
177.2.f.a.98.6 | yes | 504 | 1.1 | even | 1 | trivial | |
177.2.f.a.98.13 | yes | 504 | 3.2 | odd | 2 | inner |