Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [231,2,Mod(19,231)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(231, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([0, 25, 9]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("231.19");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 231 = 3 \cdot 7 \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 231.ba (of order \(30\), degree \(8\), 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: | \(1.84454428669\) |
Analytic rank: | \(0\) |
Dimension: | \(128\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{30})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{30}]$ |
Embedding invariants
Embedding label | 19.16 | ||
Character | \(\chi\) | \(=\) | 231.19 |
Dual form | 231.2.ba.a.73.16 |
$q$-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 \(\left(\mathbb{Z}/231\mathbb{Z}\right)^\times\).
\(n\) | \(155\) | \(199\) | \(211\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{5}{6}\right)\) | \(e\left(\frac{3}{10}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 2.65417 | − | 0.278965i | 1.87678 | − | 0.197258i | 0.903772 | − | 0.428014i | \(-0.140787\pi\) |
0.973012 | + | 0.230756i | \(0.0741199\pi\) | |||||||
\(3\) | −0.743145 | − | 0.669131i | −0.429055 | − | 0.386323i | ||||
\(4\) | 5.01052 | − | 1.06502i | 2.50526 | − | 0.532509i | ||||
\(5\) | −0.0958279 | − | 0.215233i | −0.0428556 | − | 0.0962552i | 0.890849 | − | 0.454299i | \(-0.150110\pi\) |
−0.933705 | + | 0.358044i | \(0.883444\pi\) | |||||||
\(6\) | −2.15910 | − | 1.56868i | −0.881448 | − | 0.640410i | ||||
\(7\) | −2.64356 | − | 0.107664i | −0.999172 | − | 0.0406930i | ||||
\(8\) | 7.92533 | − | 2.57510i | 2.80203 | − | 0.910434i | ||||
\(9\) | 0.104528 | + | 0.994522i | 0.0348428 | + | 0.331507i | ||||
\(10\) | −0.314386 | − | 0.544533i | −0.0994177 | − | 0.172197i | ||||
\(11\) | −1.24906 | + | 3.07243i | −0.376607 | + | 0.926373i | ||||
\(12\) | −4.43618 | − | 2.56123i | −1.28061 | − | 0.739363i | ||||
\(13\) | −3.01526 | + | 2.19072i | −0.836283 | + | 0.607595i | −0.921330 | − | 0.388782i | \(-0.872896\pi\) |
0.0850470 | + | 0.996377i | \(0.472896\pi\) | |||||||
\(14\) | −7.04650 | + | 0.451703i | −1.88326 | + | 0.120723i | ||||
\(15\) | −0.0728050 | + | 0.224071i | −0.0187982 | + | 0.0578548i | ||||
\(16\) | 10.9577 | − | 4.87866i | 2.73941 | − | 1.21967i | ||||
\(17\) | 0.401870 | − | 3.82354i | 0.0974678 | − | 0.927344i | −0.831085 | − | 0.556145i | \(-0.812280\pi\) |
0.928553 | − | 0.371199i | \(-0.121053\pi\) | |||||||
\(18\) | 0.554873 | + | 2.61047i | 0.130785 | + | 0.615294i | ||||
\(19\) | 4.68129 | + | 0.995039i | 1.07396 | + | 0.228278i | 0.710761 | − | 0.703433i | \(-0.248351\pi\) |
0.363201 | + | 0.931711i | \(0.381684\pi\) | |||||||
\(20\) | −0.709375 | − | 0.976371i | −0.158621 | − | 0.218323i | ||||
\(21\) | 1.89251 | + | 1.84890i | 0.412979 | + | 0.403462i | ||||
\(22\) | −2.45813 | + | 8.50321i | −0.524075 | + | 1.81289i | ||||
\(23\) | −2.07688 | + | 3.59726i | −0.433060 | + | 0.750081i | −0.997135 | − | 0.0756420i | \(-0.975899\pi\) |
0.564075 | + | 0.825723i | \(0.309233\pi\) | |||||||
\(24\) | −7.61275 | − | 3.38941i | −1.55395 | − | 0.691861i | ||||
\(25\) | 3.30851 | − | 3.67447i | 0.661702 | − | 0.734895i | ||||
\(26\) | −7.39189 | + | 6.65569i | −1.44967 | + | 1.30529i | ||||
\(27\) | 0.587785 | − | 0.809017i | 0.113119 | − | 0.155695i | ||||
\(28\) | −13.3603 | + | 2.27599i | −2.52485 | + | 0.430122i | ||||
\(29\) | −3.14773 | − | 1.02276i | −0.584520 | − | 0.189922i | 0.00180464 | − | 0.999998i | \(-0.499426\pi\) |
−0.586324 | + | 0.810076i | \(0.699426\pi\) | |||||||
\(30\) | −0.130729 | + | 0.615033i | −0.0238678 | + | 0.112289i | ||||
\(31\) | −3.04239 | + | 6.83333i | −0.546430 | + | 1.22730i | 0.403540 | + | 0.914962i | \(0.367779\pi\) |
−0.949970 | + | 0.312340i | \(0.898887\pi\) | |||||||
\(32\) | 13.2890 | − | 7.67242i | 2.34919 | − | 1.35631i | ||||
\(33\) | 2.98409 | − | 1.44748i | 0.519464 | − | 0.251973i | ||||
\(34\) | − | 10.2604i | − | 1.75965i | ||||||
\(35\) | 0.230154 | + | 0.579299i | 0.0389031 | + | 0.0979193i | ||||
\(36\) | 1.58293 | + | 4.87175i | 0.263821 | + | 0.811958i | ||||
\(37\) | −2.80574 | − | 3.11609i | −0.461260 | − | 0.512281i | 0.466977 | − | 0.884269i | \(-0.345343\pi\) |
−0.928238 | + | 0.371988i | \(0.878676\pi\) | |||||||
\(38\) | 12.7025 | + | 1.33509i | 2.06062 | + | 0.216580i | ||||
\(39\) | 3.70665 | + | 0.389585i | 0.593539 | + | 0.0623835i | ||||
\(40\) | −1.31371 | − | 1.45903i | −0.207716 | − | 0.230693i | ||||
\(41\) | −1.45611 | − | 4.48144i | −0.227406 | − | 0.699883i | −0.998038 | − | 0.0626037i | \(-0.980060\pi\) |
0.770633 | − | 0.637280i | \(-0.219940\pi\) | |||||||
\(42\) | 5.53882 | + | 4.37935i | 0.854658 | + | 0.675748i | ||||
\(43\) | − | 10.6448i | − | 1.62332i | −0.584129 | − | 0.811661i | \(-0.698564\pi\) | ||
0.584129 | − | 0.811661i | \(-0.301436\pi\) | |||||||
\(44\) | −2.98626 | + | 16.7248i | −0.450195 | + | 2.52135i | ||||
\(45\) | 0.204037 | − | 0.117801i | 0.0304161 | − | 0.0175607i | ||||
\(46\) | −4.50889 | + | 10.1271i | −0.664800 | + | 1.49316i | ||||
\(47\) | −0.775630 | + | 3.64905i | −0.113137 | + | 0.532269i | 0.884678 | + | 0.466203i | \(0.154378\pi\) |
−0.997815 | + | 0.0660663i | \(0.978955\pi\) | |||||||
\(48\) | −11.4076 | − | 3.70655i | −1.64654 | − | 0.534994i | ||||
\(49\) | 6.97682 | + | 0.569230i | 0.996688 | + | 0.0813186i | ||||
\(50\) | 7.75631 | − | 10.6756i | 1.09691 | − | 1.50976i | ||||
\(51\) | −2.85709 | + | 2.57254i | −0.400073 | + | 0.360227i | ||||
\(52\) | −12.7749 | + | 14.1879i | −1.77156 | + | 1.96751i | ||||
\(53\) | −5.81868 | − | 2.59064i | −0.799258 | − | 0.355852i | −0.0338735 | − | 0.999426i | \(-0.510784\pi\) |
−0.765384 | + | 0.643574i | \(0.777451\pi\) | |||||||
\(54\) | 1.33440 | − | 2.31124i | 0.181588 | − | 0.314520i | ||||
\(55\) | 0.780984 | − | 0.0255852i | 0.105308 | − | 0.00344990i | ||||
\(56\) | −21.2283 | + | 5.95415i | −2.83676 | + | 0.795657i | ||||
\(57\) | −2.81307 | − | 3.87185i | −0.372600 | − | 0.512840i | ||||
\(58\) | −8.63995 | − | 1.83648i | −1.13448 | − | 0.241141i | ||||
\(59\) | 0.532560 | + | 2.50550i | 0.0693334 | + | 0.326188i | 0.999122 | − | 0.0419071i | \(-0.0133434\pi\) |
−0.929788 | + | 0.368095i | \(0.880010\pi\) | |||||||
\(60\) | −0.126151 | + | 1.20025i | −0.0162861 | + | 0.154952i | ||||
\(61\) | 6.48807 | − | 2.88867i | 0.830712 | − | 0.369857i | 0.0530906 | − | 0.998590i | \(-0.483093\pi\) |
0.777621 | + | 0.628733i | \(0.216426\pi\) | |||||||
\(62\) | −6.16878 | + | 18.9856i | −0.783436 | + | 2.41117i | ||||
\(63\) | −0.169254 | − | 2.64033i | −0.0213239 | − | 0.332651i | ||||
\(64\) | 13.7233 | − | 9.97055i | 1.71541 | − | 1.24632i | ||||
\(65\) | 0.760461 | + | 0.439052i | 0.0943235 | + | 0.0544577i | ||||
\(66\) | 7.51651 | − | 4.67431i | 0.925218 | − | 0.575368i | ||||
\(67\) | 5.39141 | + | 9.33820i | 0.658666 | + | 1.14084i | 0.980961 | + | 0.194204i | \(0.0622123\pi\) |
−0.322295 | + | 0.946639i | \(0.604454\pi\) | |||||||
\(68\) | −2.05856 | − | 19.5859i | −0.249637 | − | 2.37514i | ||||
\(69\) | 3.95046 | − | 1.28358i | 0.475580 | − | 0.154525i | ||||
\(70\) | 0.772473 | + | 1.47335i | 0.0923282 | + | 0.176099i | ||||
\(71\) | −2.72196 | − | 1.97762i | −0.323037 | − | 0.234700i | 0.414433 | − | 0.910080i | \(-0.363980\pi\) |
−0.737470 | + | 0.675380i | \(0.763980\pi\) | |||||||
\(72\) | 3.38941 | + | 7.61275i | 0.399446 | + | 0.897171i | ||||
\(73\) | 12.0098 | − | 2.55276i | 1.40564 | − | 0.298778i | 0.558217 | − | 0.829695i | \(-0.311486\pi\) |
0.847424 | + | 0.530917i | \(0.178152\pi\) | |||||||
\(74\) | −8.31619 | − | 7.48793i | −0.966737 | − | 0.870454i | ||||
\(75\) | −4.91741 | + | 0.516840i | −0.567813 | + | 0.0596796i | ||||
\(76\) | 24.5154 | 2.81211 | ||||||||
\(77\) | 3.63276 | − | 7.98768i | 0.413992 | − | 0.910281i | ||||
\(78\) | 9.94677 | 1.12625 | ||||||||
\(79\) | 10.9330 | − | 1.14910i | 1.23006 | − | 0.129284i | 0.532884 | − | 0.846188i | \(-0.321108\pi\) |
0.697172 | + | 0.716904i | \(0.254442\pi\) | |||||||
\(80\) | −2.10010 | − | 1.89094i | −0.234798 | − | 0.211413i | ||||
\(81\) | −0.978148 | + | 0.207912i | −0.108683 | + | 0.0231013i | ||||
\(82\) | −5.11493 | − | 11.4883i | −0.564849 | − | 1.26867i | ||||
\(83\) | −12.9336 | − | 9.39678i | −1.41964 | − | 1.03143i | −0.991830 | − | 0.127564i | \(-0.959284\pi\) |
−0.427813 | − | 0.903867i | \(-0.640716\pi\) | |||||||
\(84\) | 11.4515 | + | 7.24837i | 1.24947 | + | 0.790862i | ||||
\(85\) | −0.861462 | + | 0.279906i | −0.0934387 | + | 0.0303601i | ||||
\(86\) | −2.96953 | − | 28.2532i | −0.320213 | − | 3.04662i | ||||
\(87\) | 1.65486 | + | 2.86631i | 0.177420 | + | 0.307300i | ||||
\(88\) | −1.98743 | + | 27.5665i | −0.211861 | + | 2.93860i | ||||
\(89\) | −7.15365 | − | 4.13016i | −0.758285 | − | 0.437796i | 0.0703946 | − | 0.997519i | \(-0.477574\pi\) |
−0.828680 | + | 0.559723i | \(0.810907\pi\) | |||||||
\(90\) | 0.508688 | − | 0.369583i | 0.0536204 | − | 0.0389575i | ||||
\(91\) | 8.20688 | − | 5.46665i | 0.860315 | − | 0.573061i | ||||
\(92\) | −6.57510 | + | 20.2361i | −0.685501 | + | 2.10976i | ||||
\(93\) | 6.83333 | − | 3.04239i | 0.708583 | − | 0.315482i | ||||
\(94\) | −1.04070 | + | 9.90159i | −0.107340 | + | 1.02127i | ||||
\(95\) | −0.234433 | − | 1.10292i | −0.0240523 | − | 0.113157i | ||||
\(96\) | −15.0095 | − | 3.19037i | −1.53190 | − | 0.325616i | ||||
\(97\) | 1.40251 | + | 1.93039i | 0.142404 | + | 0.196002i | 0.874261 | − | 0.485456i | \(-0.161346\pi\) |
−0.731858 | + | 0.681458i | \(0.761346\pi\) | |||||||
\(98\) | 18.6765 | − | 0.435452i | 1.88661 | − | 0.0439873i | ||||
\(99\) | −3.18616 | − | 0.921064i | −0.320222 | − | 0.0925704i | ||||
\(100\) | 12.6640 | − | 21.9346i | 1.26640 | − | 2.19346i | ||||
\(101\) | 15.6287 | + | 6.95837i | 1.55512 | + | 0.692383i | 0.991068 | − | 0.133357i | \(-0.0425757\pi\) |
0.564050 | + | 0.825740i | \(0.309242\pi\) | |||||||
\(102\) | −6.86557 | + | 7.62499i | −0.679793 | + | 0.754986i | ||||
\(103\) | 6.34825 | − | 5.71599i | 0.625511 | − | 0.563213i | −0.294232 | − | 0.955734i | \(-0.595064\pi\) |
0.919743 | + | 0.392521i | \(0.128397\pi\) | |||||||
\(104\) | −18.2556 | + | 25.1267i | −1.79011 | + | 2.46388i | ||||
\(105\) | 0.216589 | − | 0.584506i | 0.0211369 | − | 0.0570419i | ||||
\(106\) | −16.1665 | − | 5.25281i | −1.57023 | − | 0.510198i | ||||
\(107\) | −1.16003 | + | 5.45749i | −0.112144 | + | 0.527596i | 0.885832 | + | 0.464006i | \(0.153588\pi\) |
−0.997976 | + | 0.0635899i | \(0.979745\pi\) | |||||||
\(108\) | 2.08349 | − | 4.67960i | 0.200484 | − | 0.450294i | ||||
\(109\) | −10.0052 | + | 5.77649i | −0.958322 | + | 0.553287i | −0.895656 | − | 0.444747i | \(-0.853293\pi\) |
−0.0626655 | + | 0.998035i | \(0.519960\pi\) | |||||||
\(110\) | 2.06573 | − | 0.285775i | 0.196960 | − | 0.0272475i | ||||
\(111\) | 4.19311i | 0.397992i | ||||||||
\(112\) | −29.4925 | + | 11.7173i | −2.78678 | + | 1.10718i | ||||
\(113\) | −2.07188 | − | 6.37658i | −0.194906 | − | 0.599858i | −0.999978 | − | 0.00668105i | \(-0.997873\pi\) |
0.805072 | − | 0.593177i | \(-0.202127\pi\) | |||||||
\(114\) | −8.54648 | − | 9.49182i | −0.800451 | − | 0.888991i | ||||
\(115\) | 0.973273 | + | 0.102295i | 0.0907582 | + | 0.00953907i | ||||
\(116\) | −16.8610 | − | 1.77217i | −1.56551 | − | 0.164542i | ||||
\(117\) | −2.49389 | − | 2.76975i | −0.230561 | − | 0.256064i | ||||
\(118\) | 2.11245 | + | 6.50146i | 0.194467 | + | 0.598508i | ||||
\(119\) | −1.47402 | + | 10.0645i | −0.135123 | + | 0.922610i | ||||
\(120\) | 1.96332i | 0.179225i | ||||||||
\(121\) | −7.87968 | − | 7.67532i | −0.716335 | − | 0.697757i | ||||
\(122\) | 16.4146 | − | 9.47698i | 1.48611 | − | 0.858006i | ||||
\(123\) | −1.91657 | + | 4.30469i | −0.172811 | + | 0.388140i | ||||
\(124\) | −7.96635 | + | 37.4787i | −0.715399 | + | 3.36569i | ||||
\(125\) | −2.22827 | − | 0.724009i | −0.199303 | − | 0.0647573i | ||||
\(126\) | −1.18579 | − | 6.96068i | −0.105638 | − | 0.620107i | ||||
\(127\) | 3.82996 | − | 5.27148i | 0.339854 | − | 0.467768i | −0.604545 | − | 0.796571i | \(-0.706645\pi\) |
0.944399 | + | 0.328803i | \(0.106645\pi\) | |||||||
\(128\) | 10.8357 | − | 9.75648i | 0.957747 | − | 0.862359i | ||||
\(129\) | −7.12278 | + | 7.91065i | −0.627126 | + | 0.696494i | ||||
\(130\) | 2.14087 | + | 0.953178i | 0.187767 | + | 0.0835993i | ||||
\(131\) | −3.55659 | + | 6.16019i | −0.310740 | + | 0.538218i | −0.978523 | − | 0.206138i | \(-0.933910\pi\) |
0.667782 | + | 0.744357i | \(0.267244\pi\) | |||||||
\(132\) | 13.4103 | − | 10.4307i | 1.16721 | − | 0.907878i | ||||
\(133\) | −12.2681 | − | 3.13445i | −1.06378 | − | 0.271791i | ||||
\(134\) | 16.9148 | + | 23.2812i | 1.46121 | + | 2.01119i | ||||
\(135\) | −0.230453 | − | 0.0489844i | −0.0198343 | − | 0.00421591i | ||||
\(136\) | −6.66102 | − | 31.3377i | −0.571178 | − | 2.68718i | ||||
\(137\) | −0.0701072 | + | 0.667025i | −0.00598966 | + | 0.0569878i | −0.997108 | − | 0.0759916i | \(-0.975788\pi\) |
0.991119 | + | 0.132979i | \(0.0424544\pi\) | |||||||
\(138\) | 10.1271 | − | 4.50889i | 0.862079 | − | 0.383822i | ||||
\(139\) | 0.957979 | − | 2.94836i | 0.0812548 | − | 0.250076i | −0.902174 | − | 0.431373i | \(-0.858029\pi\) |
0.983428 | + | 0.181296i | \(0.0580294\pi\) | |||||||
\(140\) | 1.77016 | + | 2.65747i | 0.149605 | + | 0.224597i | ||||
\(141\) | 3.01810 | − | 2.19278i | 0.254170 | − | 0.184665i | ||||
\(142\) | −7.77623 | − | 4.48961i | −0.652567 | − | 0.376760i | ||||
\(143\) | −2.96457 | − | 12.0005i | −0.247910 | − | 1.00353i | ||||
\(144\) | 5.99732 | + | 10.3877i | 0.499777 | + | 0.865639i | ||||
\(145\) | 0.0815089 | + | 0.775506i | 0.00676895 | + | 0.0644022i | ||||
\(146\) | 31.1640 | − | 10.1258i | 2.57915 | − | 0.838016i | ||||
\(147\) | −4.80390 | − | 5.09142i | −0.396219 | − | 0.419933i | ||||
\(148\) | −17.3769 | − | 12.6250i | −1.42837 | − | 1.03777i | ||||
\(149\) | 6.79720 | + | 15.2668i | 0.556848 | + | 1.25070i | 0.944383 | + | 0.328847i | \(0.106660\pi\) |
−0.387535 | + | 0.921855i | \(0.626673\pi\) | |||||||
\(150\) | −12.9075 | + | 2.74357i | −1.05389 | + | 0.224011i | ||||
\(151\) | 2.48002 | + | 2.23302i | 0.201821 | + | 0.181721i | 0.763844 | − | 0.645401i | \(-0.223310\pi\) |
−0.562022 | + | 0.827122i | \(0.689977\pi\) | |||||||
\(152\) | 39.6631 | − | 4.16876i | 3.21710 | − | 0.338131i | ||||
\(153\) | 3.84460 | 0.310817 | ||||||||
\(154\) | 7.41370 | − | 22.2141i | 0.597413 | − | 1.79006i | ||||
\(155\) | 1.76230 | 0.141552 | ||||||||
\(156\) | 18.9871 | − | 1.99563i | 1.52019 | − | 0.159778i | ||||
\(157\) | 14.5241 | + | 13.0775i | 1.15915 | + | 1.04370i | 0.998391 | + | 0.0567068i | \(0.0180600\pi\) |
0.160756 | + | 0.986994i | \(0.448607\pi\) | |||||||
\(158\) | 28.6974 | − | 6.09983i | 2.28305 | − | 0.485276i | ||||
\(159\) | 2.59064 | + | 5.81868i | 0.205452 | + | 0.461452i | ||||
\(160\) | −2.92482 | − | 2.12500i | −0.231227 | − | 0.167996i | ||||
\(161\) | 5.87765 | − | 9.28598i | 0.463224 | − | 0.731837i | ||||
\(162\) | −2.53817 | + | 0.824702i | −0.199418 | + | 0.0647947i | ||||
\(163\) | 1.31520 | + | 12.5132i | 0.103014 | + | 0.980113i | 0.916908 | + | 0.399099i | \(0.130677\pi\) |
−0.813894 | + | 0.581014i | \(0.802656\pi\) | |||||||
\(164\) | −12.0687 | − | 20.9036i | −0.942405 | − | 1.63229i | ||||
\(165\) | −0.597504 | − | 0.503567i | −0.0465156 | − | 0.0392026i | ||||
\(166\) | −36.9493 | − | 21.3327i | −2.86782 | − | 1.65574i | ||||
\(167\) | −5.12519 | + | 3.72367i | −0.396599 | + | 0.288146i | −0.768154 | − | 0.640265i | \(-0.778825\pi\) |
0.371555 | + | 0.928411i | \(0.378825\pi\) | |||||||
\(168\) | 19.7598 | + | 9.77973i | 1.52450 | + | 0.754523i | ||||
\(169\) | 0.275343 | − | 0.847418i | 0.0211802 | − | 0.0651860i | ||||
\(170\) | −2.20839 | + | 0.983236i | −0.169375 | + | 0.0754108i | ||||
\(171\) | −0.500260 | + | 4.75966i | −0.0382558 | + | 0.363980i | ||||
\(172\) | −11.3369 | − | 53.3361i | −0.864434 | − | 4.06684i | ||||
\(173\) | 3.32600 | + | 0.706964i | 0.252871 | + | 0.0537495i | 0.332603 | − | 0.943067i | \(-0.392073\pi\) |
−0.0797318 | + | 0.996816i | \(0.525406\pi\) | |||||||
\(174\) | 5.19189 | + | 7.14602i | 0.393596 | + | 0.541739i | ||||
\(175\) | −9.14185 | + | 9.35748i | −0.691059 | + | 0.707359i | ||||
\(176\) | 1.30256 | + | 39.7604i | 0.0981839 | + | 2.99705i | ||||
\(177\) | 1.28074 | − | 2.21830i | 0.0962661 | − | 0.166738i | ||||
\(178\) | −20.1392 | − | 8.96654i | −1.50950 | − | 0.672071i | ||||
\(179\) | −7.93608 | + | 8.81391i | −0.593170 | + | 0.658782i | −0.962743 | − | 0.270420i | \(-0.912838\pi\) |
0.369572 | + | 0.929202i | \(0.379504\pi\) | |||||||
\(180\) | 0.896872 | − | 0.807547i | 0.0668489 | − | 0.0601910i | ||||
\(181\) | −3.36941 | + | 4.63759i | −0.250446 | + | 0.344710i | −0.915668 | − | 0.401937i | \(-0.868337\pi\) |
0.665221 | + | 0.746646i | \(0.268337\pi\) | |||||||
\(182\) | 20.2575 | − | 16.7989i | 1.50158 | − | 1.24522i | ||||
\(183\) | −6.75447 | − | 2.19466i | −0.499305 | − | 0.162234i | ||||
\(184\) | −7.19667 | + | 33.8577i | −0.530546 | + | 2.49602i | ||||
\(185\) | −0.401817 | + | 0.902495i | −0.0295422 | + | 0.0663528i | ||||
\(186\) | 17.2881 | − | 9.98130i | 1.26763 | − | 0.731864i | ||||
\(187\) | 11.2456 | + | 6.01056i | 0.822360 | + | 0.439535i | ||||
\(188\) | 19.1097i | 1.39372i | ||||||||
\(189\) | −1.64095 | + | 2.07540i | −0.119361 | + | 0.150963i | ||||
\(190\) | −0.929902 | − | 2.86195i | −0.0674622 | − | 0.207627i | ||||
\(191\) | −11.6838 | − | 12.9762i | −0.845411 | − | 0.938924i | 0.153376 | − | 0.988168i | \(-0.450985\pi\) |
−0.998787 | + | 0.0492440i | \(0.984319\pi\) | |||||||
\(192\) | −16.8700 | − | 1.77311i | −1.21749 | − | 0.127963i | ||||
\(193\) | −12.3582 | − | 1.29889i | −0.889560 | − | 0.0934965i | −0.351288 | − | 0.936268i | \(-0.614256\pi\) |
−0.538272 | + | 0.842771i | \(0.680923\pi\) | |||||||
\(194\) | 4.26102 | + | 4.73235i | 0.305924 | + | 0.339763i | ||||
\(195\) | −0.271349 | − | 0.835127i | −0.0194317 | − | 0.0598047i | ||||
\(196\) | 35.5637 | − | 4.57830i | 2.54026 | − | 0.327022i | ||||
\(197\) | − | 9.04921i | − | 0.644729i | −0.946616 | − | 0.322365i | \(-0.895522\pi\) | ||
0.946616 | − | 0.322365i | \(-0.104478\pi\) | |||||||
\(198\) | −8.71358 | − | 1.55584i | −0.619247 | − | 0.110568i | ||||
\(199\) | −3.64229 | + | 2.10288i | −0.258195 | + | 0.149069i | −0.623511 | − | 0.781815i | \(-0.714294\pi\) |
0.365316 | + | 0.930884i | \(0.380961\pi\) | |||||||
\(200\) | 16.7589 | − | 37.6412i | 1.18503 | − | 2.66163i | ||||
\(201\) | 2.24188 | − | 10.5472i | 0.158130 | − | 0.743942i | ||||
\(202\) | 43.4225 | + | 14.1088i | 3.05520 | + | 0.992694i | ||||
\(203\) | 8.21111 | + | 3.04263i | 0.576307 | + | 0.213550i | ||||
\(204\) | −11.5757 | + | 15.9326i | −0.810462 | + | 1.11551i | ||||
\(205\) | −0.825018 | + | 0.742850i | −0.0576218 | + | 0.0518829i | ||||
\(206\) | 15.2548 | − | 16.9422i | 1.06285 | − | 1.18042i | ||||
\(207\) | −3.79465 | − | 1.68949i | −0.263746 | − | 0.117427i | ||||
\(208\) | −22.3524 | + | 38.7155i | −1.54986 | + | 2.68444i | ||||
\(209\) | −8.90442 | + | 13.1401i | −0.615932 | + | 0.908919i | ||||
\(210\) | 0.411807 | − | 1.61180i | 0.0284174 | − | 0.111225i | ||||
\(211\) | 11.8736 | + | 16.3426i | 0.817414 | + | 1.12507i | 0.990137 | + | 0.140104i | \(0.0447435\pi\) |
−0.172723 | + | 0.984970i | \(0.555256\pi\) | |||||||
\(212\) | −31.9137 | − | 6.78347i | −2.19184 | − | 0.465890i | ||||
\(213\) | 0.699524 | + | 3.29100i | 0.0479306 | + | 0.225496i | ||||
\(214\) | −1.55646 | + | 14.8087i | −0.106397 | + | 1.01230i | ||||
\(215\) | −2.29112 | + | 1.02007i | −0.156253 | + | 0.0695683i | ||||
\(216\) | 2.57510 | − | 7.92533i | 0.175213 | − | 0.539251i | ||||
\(217\) | 8.77845 | − | 17.7368i | 0.595920 | − | 1.20405i | ||||
\(218\) | −24.9440 | + | 18.1229i | −1.68942 | + | 1.22744i | ||||
\(219\) | −10.6332 | − | 6.13905i | −0.718522 | − | 0.414839i | ||||
\(220\) | 3.88589 | − | 0.959958i | 0.261986 | − | 0.0647203i | ||||
\(221\) | 7.16454 | + | 12.4093i | 0.481939 | + | 0.834743i | ||||
\(222\) | 1.16973 | + | 11.1292i | 0.0785071 | + | 0.746945i | ||||
\(223\) | −14.7252 | + | 4.78452i | −0.986075 | + | 0.320395i | −0.757288 | − | 0.653081i | \(-0.773476\pi\) |
−0.228787 | + | 0.973477i | \(0.573476\pi\) | |||||||
\(224\) | −35.9564 | + | 18.8518i | −2.40244 | + | 1.25959i | ||||
\(225\) | 4.00018 | + | 2.90630i | 0.266679 | + | 0.193753i | ||||
\(226\) | −7.27796 | − | 16.3466i | −0.484123 | − | 1.08736i | ||||
\(227\) | −23.0692 | + | 4.90350i | −1.53115 | + | 0.325457i | −0.894986 | − | 0.446094i | \(-0.852815\pi\) |
−0.636168 | + | 0.771551i | \(0.719481\pi\) | |||||||
\(228\) | −18.2185 | − | 16.4040i | −1.20655 | − | 1.08638i | ||||
\(229\) | −13.1802 | + | 1.38530i | −0.870975 | + | 0.0915431i | −0.529462 | − | 0.848334i | \(-0.677606\pi\) |
−0.341513 | + | 0.939877i | \(0.610939\pi\) | |||||||
\(230\) | 2.61177 | 0.172215 | ||||||||
\(231\) | −8.04447 | + | 3.50521i | −0.529287 | + | 0.230626i | ||||
\(232\) | −27.5806 | −1.81075 | ||||||||
\(233\) | 17.0190 | − | 1.78877i | 1.11495 | − | 0.117186i | 0.470913 | − | 0.882180i | \(-0.343925\pi\) |
0.644038 | + | 0.764994i | \(0.277258\pi\) | |||||||
\(234\) | −7.39189 | − | 6.65569i | −0.483223 | − | 0.435096i | ||||
\(235\) | 0.859724 | − | 0.182740i | 0.0560822 | − | 0.0119206i | ||||
\(236\) | 5.33680 | + | 11.9867i | 0.347396 | + | 0.780265i | ||||
\(237\) | −8.89368 | − | 6.46164i | −0.577707 | − | 0.419729i | ||||
\(238\) | −1.10467 | + | 27.1241i | −0.0716054 | + | 1.75819i | ||||
\(239\) | −7.85731 | + | 2.55299i | −0.508247 | + | 0.165139i | −0.551905 | − | 0.833907i | \(-0.686099\pi\) |
0.0436578 | + | 0.999047i | \(0.486099\pi\) | |||||||
\(240\) | 0.295393 | + | 2.81048i | 0.0190676 | + | 0.181416i | ||||
\(241\) | −12.9495 | − | 22.4291i | −0.834148 | − | 1.44479i | −0.894722 | − | 0.446623i | \(-0.852626\pi\) |
0.0605740 | − | 0.998164i | \(-0.480707\pi\) | |||||||
\(242\) | −23.0552 | − | 18.1735i | −1.48204 | − | 1.16824i | ||||
\(243\) | 0.866025 | + | 0.500000i | 0.0555556 | + | 0.0320750i | ||||
\(244\) | 29.4321 | − | 21.3837i | 1.88420 | − | 1.36895i | ||||
\(245\) | −0.546057 | − | 1.55619i | −0.0348863 | − | 0.0994213i | ||||
\(246\) | −3.88605 | + | 11.9600i | −0.247766 | + | 0.762544i | ||||
\(247\) | −16.2952 | + | 7.25507i | −1.03684 | + | 0.461629i | ||||
\(248\) | −6.51550 | + | 61.9909i | −0.413735 | + | 3.93642i | ||||
\(249\) | 3.32384 | + | 15.6374i | 0.210639 | + | 0.990981i | ||||
\(250\) | −6.11619 | − | 1.30004i | −0.386822 | − | 0.0822215i | ||||
\(251\) | 8.94180 | + | 12.3073i | 0.564402 | + | 0.776832i | 0.991878 | − | 0.127194i | \(-0.0405972\pi\) |
−0.427476 | + | 0.904027i | \(0.640597\pi\) | |||||||
\(252\) | −3.66005 | − | 13.0492i | −0.230561 | − | 0.822021i | ||||
\(253\) | −8.45819 | − | 10.8743i | −0.531762 | − | 0.683660i | ||||
\(254\) | 8.69481 | − | 15.0598i | 0.545561 | − | 0.944939i | ||||
\(255\) | 0.827485 | + | 0.368420i | 0.0518191 | + | 0.0230713i | ||||
\(256\) | 3.33722 | − | 3.70636i | 0.208576 | − | 0.231647i | ||||
\(257\) | −15.3866 | + | 13.8542i | −0.959793 | + | 0.864201i | −0.990802 | − | 0.135318i | \(-0.956794\pi\) |
0.0310097 | + | 0.999519i | \(0.490128\pi\) | |||||||
\(258\) | −16.6983 | + | 22.9832i | −1.03959 | + | 1.43087i | ||||
\(259\) | 7.08164 | + | 8.53964i | 0.440032 | + | 0.530627i | ||||
\(260\) | 4.27790 | + | 1.38997i | 0.265304 | + | 0.0862025i | ||||
\(261\) | 0.688130 | − | 3.23740i | 0.0425942 | − | 0.200390i | ||||
\(262\) | −7.72132 | + | 17.3424i | −0.477025 | + | 1.07142i | ||||
\(263\) | 13.0755 | − | 7.54913i | 0.806269 | − | 0.465500i | −0.0393896 | − | 0.999224i | \(-0.512541\pi\) |
0.845658 | + | 0.533724i | \(0.179208\pi\) | |||||||
\(264\) | 19.9225 | − | 19.1561i | 1.22615 | − | 1.17897i | ||||
\(265\) | 1.50063i | 0.0921829i | ||||||||
\(266\) | −33.4362 | − | 4.89699i | −2.05010 | − | 0.300254i | ||||
\(267\) | 2.55258 | + | 7.85603i | 0.156215 | + | 0.480781i | ||||
\(268\) | 36.9591 | + | 41.0473i | 2.25764 | + | 2.50736i | ||||
\(269\) | 17.8171 | + | 1.87265i | 1.08633 | + | 0.114178i | 0.630726 | − | 0.776006i | \(-0.282757\pi\) |
0.455602 | + | 0.890184i | \(0.349424\pi\) | |||||||
\(270\) | −0.625328 | − | 0.0657247i | −0.0380563 | − | 0.00399987i | ||||
\(271\) | −8.07525 | − | 8.96847i | −0.490536 | − | 0.544796i | 0.446153 | − | 0.894957i | \(-0.352794\pi\) |
−0.936690 | + | 0.350161i | \(0.886127\pi\) | |||||||
\(272\) | −14.2502 | − | 43.8576i | −0.864045 | − | 2.65926i | ||||
\(273\) | −9.75681 | − | 1.42896i | −0.590509 | − | 0.0864847i | ||||
\(274\) | 1.78996i | 0.108135i | ||||||||
\(275\) | 7.15703 | + | 14.7548i | 0.431585 | + | 0.889749i | ||||
\(276\) | 18.4268 | − | 10.6387i | 1.10916 | − | 0.640376i | ||||
\(277\) | −0.0538320 | + | 0.120909i | −0.00323445 | + | 0.00726470i | −0.915155 | − | 0.403101i | \(-0.867932\pi\) |
0.911921 | + | 0.410366i | \(0.134599\pi\) | |||||||
\(278\) | 1.72016 | − | 8.09269i | 0.103168 | − | 0.485368i | ||||
\(279\) | −7.11391 | − | 2.31145i | −0.425899 | − | 0.138383i | ||||
\(280\) | 3.31580 | + | 3.99847i | 0.198157 | + | 0.238954i | ||||
\(281\) | 14.8622 | − | 20.4561i | 0.886607 | − | 1.22031i | −0.0879401 | − | 0.996126i | \(-0.528028\pi\) |
0.974547 | − | 0.224184i | \(-0.0719716\pi\) | |||||||
\(282\) | 7.39885 | − | 6.66195i | 0.440595 | − | 0.396713i | ||||
\(283\) | 10.7025 | − | 11.8864i | 0.636200 | − | 0.706572i | −0.335699 | − | 0.941969i | \(-0.608973\pi\) |
0.971899 | + | 0.235397i | \(0.0756392\pi\) | |||||||
\(284\) | −15.7446 | − | 7.00995i | −0.934271 | − | 0.415964i | ||||
\(285\) | −0.563781 | + | 0.976497i | −0.0333955 | + | 0.0578427i | ||||
\(286\) | −11.2162 | − | 31.0245i | −0.663229 | − | 1.83451i | ||||
\(287\) | 3.36682 | + | 12.0037i | 0.198737 | + | 0.708558i | ||||
\(288\) | 9.01947 | + | 12.4142i | 0.531477 | + | 0.731516i | ||||
\(289\) | 2.17058 | + | 0.461370i | 0.127681 | + | 0.0271394i | ||||
\(290\) | 0.432678 | + | 2.03559i | 0.0254077 | + | 0.119534i | ||||
\(291\) | 0.249415 | − | 2.37303i | 0.0146210 | − | 0.139109i | ||||
\(292\) | 57.4566 | − | 25.5813i | 3.36239 | − | 1.49703i | ||||
\(293\) | 4.87645 | − | 15.0082i | 0.284885 | − | 0.876786i | −0.701548 | − | 0.712622i | \(-0.747507\pi\) |
0.986433 | − | 0.164164i | \(-0.0524926\pi\) | |||||||
\(294\) | −14.1707 | − | 12.1734i | −0.826452 | − | 0.709967i | ||||
\(295\) | 0.488232 | − | 0.354721i | 0.0284260 | − | 0.0206527i | ||||
\(296\) | −30.2606 | − | 17.4710i | −1.75886 | − | 1.01548i | ||||
\(297\) | 1.75147 | + | 2.81644i | 0.101631 | + | 0.163427i | ||||
\(298\) | 22.2998 | + | 38.6244i | 1.29179 | + | 2.23745i | ||||
\(299\) | −1.61824 | − | 15.3965i | −0.0935853 | − | 0.890405i | ||||
\(300\) | −24.0883 | + | 7.82676i | −1.39074 | + | 0.451878i | ||||
\(301\) | −1.14606 | + | 28.1402i | −0.0660578 | + | 1.62198i | ||||
\(302\) | 7.20534 | + | 5.23499i | 0.414621 | + | 0.301240i | ||||
\(303\) | −6.95837 | − | 15.6287i | −0.399748 | − | 0.897848i | ||||
\(304\) | 56.1504 | − | 11.9351i | 3.22045 | − | 0.684527i | ||||
\(305\) | −1.24348 | − | 1.11963i | −0.0712012 | − | 0.0641099i | ||||
\(306\) | 10.2042 | − | 1.07251i | 0.583337 | − | 0.0613112i | ||||
\(307\) | −25.7813 | −1.47142 | −0.735709 | − | 0.677298i | \(-0.763151\pi\) | ||||
−0.735709 | + | 0.677298i | \(0.763151\pi\) | |||||||
\(308\) | 9.69499 | − | 43.8914i | 0.552423 | − | 2.50094i | ||||
\(309\) | −8.54241 | −0.485961 | ||||||||
\(310\) | 4.67746 | − | 0.491621i | 0.265662 | − | 0.0279222i | ||||
\(311\) | 12.5692 | + | 11.3173i | 0.712731 | + | 0.641746i | 0.943542 | − | 0.331252i | \(-0.107471\pi\) |
−0.230811 | + | 0.972999i | \(0.574138\pi\) | |||||||
\(312\) | 30.3797 | − | 6.45739i | 1.71991 | − | 0.365578i | ||||
\(313\) | 0.660891 | + | 1.48439i | 0.0373558 | + | 0.0839024i | 0.931260 | − | 0.364356i | \(-0.118711\pi\) |
−0.893904 | + | 0.448259i | \(0.852044\pi\) | |||||||
\(314\) | 42.1976 | + | 30.6583i | 2.38135 | + | 1.73015i | ||||
\(315\) | −0.552068 | + | 0.289447i | −0.0311055 | + | 0.0163085i | ||||
\(316\) | 53.5561 | − | 17.4014i | 3.01276 | − | 0.978906i | ||||
\(317\) | 3.01182 | + | 28.6555i | 0.169161 | + | 1.60946i | 0.668949 | + | 0.743308i | \(0.266744\pi\) |
−0.499789 | + | 0.866147i | \(0.666589\pi\) | |||||||
\(318\) | 8.49923 | + | 14.7211i | 0.476613 | + | 0.825518i | ||||
\(319\) | 7.07408 | − | 8.39371i | 0.396073 | − | 0.469957i | ||||
\(320\) | −3.46107 | − | 1.99825i | −0.193480 | − | 0.111705i | ||||
\(321\) | 4.51384 | − | 3.27950i | 0.251938 | − | 0.183044i | ||||
\(322\) | 13.0098 | − | 26.2862i | 0.725010 | − | 1.46488i | ||||
\(323\) | 5.68584 | − | 17.4992i | 0.316369 | − | 0.973682i | ||||
\(324\) | −4.67960 | + | 2.08349i | −0.259978 | + | 0.115749i | ||||
\(325\) | −1.92630 | + | 18.3275i | −0.106852 | + | 1.01663i | ||||
\(326\) | 6.98151 | + | 32.8454i | 0.386670 | + | 1.81914i | ||||
\(327\) | 11.3005 | + | 2.40200i | 0.624920 | + | 0.132831i | ||||
\(328\) | −23.0803 | − | 31.7673i | −1.27440 | − | 1.75406i | ||||
\(329\) | 2.44329 | − | 9.56298i | 0.134703 | − | 0.527224i | ||||
\(330\) | −1.72636 | − | 1.16987i | −0.0950328 | − | 0.0643993i | ||||
\(331\) | 5.43171 | − | 9.40800i | 0.298554 | − | 0.517110i | −0.677252 | − | 0.735752i | \(-0.736829\pi\) |
0.975805 | + | 0.218641i | \(0.0701624\pi\) | |||||||
\(332\) | −74.8116 | − | 33.3083i | −4.10582 | − | 1.82803i | ||||
\(333\) | 2.80574 | − | 3.11609i | 0.153753 | − | 0.170760i | ||||
\(334\) | −12.5644 | + | 11.3130i | −0.687492 | + | 0.619021i | ||||
\(335\) | 1.49324 | − | 2.05527i | 0.0815845 | − | 0.112291i | ||||
\(336\) | 29.7576 | + | 11.0267i | 1.62341 | + | 0.601554i | ||||
\(337\) | 9.81536 | + | 3.18920i | 0.534677 | + | 0.173727i | 0.563896 | − | 0.825846i | \(-0.309302\pi\) |
−0.0292190 | + | 0.999573i | \(0.509302\pi\) | |||||||
\(338\) | 0.494408 | − | 2.32601i | 0.0268922 | − | 0.126518i | ||||
\(339\) | −2.72706 | + | 6.12508i | −0.148114 | + | 0.332669i | ||||
\(340\) | −4.01827 | + | 2.31995i | −0.217921 | + | 0.125817i | ||||
\(341\) | −17.1948 | − | 17.8828i | −0.931150 | − | 0.968408i | ||||
\(342\) | 12.7725i | 0.690658i | ||||||||
\(343\) | −18.3823 | − | 2.25594i | −0.992554 | − | 0.121809i | ||||
\(344\) | −27.4115 | − | 84.3638i | −1.47793 | − | 4.54859i | ||||
\(345\) | −0.654834 | − | 0.727267i | −0.0352551 | − | 0.0391547i | ||||
\(346\) | 9.02501 | + | 0.948567i | 0.485187 | + | 0.0509953i | ||||
\(347\) | −10.9575 | − | 1.15168i | −0.588228 | − | 0.0618252i | −0.194261 | − | 0.980950i | \(-0.562231\pi\) |
−0.393967 | + | 0.919125i | \(0.628898\pi\) | |||||||
\(348\) | 11.3444 | + | 12.5992i | 0.608123 | + | 0.675389i | ||||
\(349\) | −0.323865 | − | 0.996755i | −0.0173361 | − | 0.0533551i | 0.942014 | − | 0.335573i | \(-0.108930\pi\) |
−0.959350 | + | 0.282218i | \(0.908930\pi\) | |||||||
\(350\) | −21.6537 | + | 27.3866i | −1.15744 | + | 1.46388i | ||||
\(351\) | 3.72707i | 0.198936i | ||||||||
\(352\) | 6.97417 | + | 50.4130i | 0.371724 | + | 2.68702i | ||||
\(353\) | 3.64157 | − | 2.10246i | 0.193821 | − | 0.111903i | −0.399949 | − | 0.916537i | \(-0.630972\pi\) |
0.593770 | + | 0.804635i | \(0.297639\pi\) | |||||||
\(354\) | 2.78047 | − | 6.24503i | 0.147780 | − | 0.331920i | ||||
\(355\) | −0.164809 | + | 0.775366i | −0.00874716 | + | 0.0411522i | ||||
\(356\) | −40.2422 | − | 13.0755i | −2.13283 | − | 0.692999i | ||||
\(357\) | 7.82986 | − | 6.49305i | 0.414400 | − | 0.343649i | ||||
\(358\) | −18.6050 | + | 25.6075i | −0.983302 | + | 1.35340i | ||||
\(359\) | −4.14801 | + | 3.73489i | −0.218924 | + | 0.197120i | −0.771294 | − | 0.636479i | \(-0.780390\pi\) |
0.552370 | + | 0.833599i | \(0.313723\pi\) | |||||||
\(360\) | 1.31371 | − | 1.45903i | 0.0692388 | − | 0.0768975i | ||||
\(361\) | 3.56702 | + | 1.58814i | 0.187738 | + | 0.0835863i | ||||
\(362\) | −7.64927 | + | 13.2489i | −0.402037 | + | 0.696348i | ||||
\(363\) | 0.719951 | + | 10.9764i | 0.0377876 | + | 0.576112i | ||||
\(364\) | 35.2986 | − | 36.1312i | 1.85015 | − | 1.89379i | ||||
\(365\) | −1.70031 | − | 2.34028i | −0.0889985 | − | 0.122496i | ||||
\(366\) | −18.5398 | − | 3.94075i | −0.969090 | − | 0.205986i | ||||
\(367\) | −1.30047 | − | 6.11823i | −0.0678839 | − | 0.319369i | 0.931083 | − | 0.364807i | \(-0.118865\pi\) |
−0.998967 | + | 0.0454380i | \(0.985532\pi\) | |||||||
\(368\) | −5.20791 | + | 49.5500i | −0.271481 | + | 2.58297i | ||||
\(369\) | 4.30469 | − | 1.91657i | 0.224093 | − | 0.0997726i | ||||
\(370\) | −0.814727 | + | 2.50747i | −0.0423556 | + | 0.130357i | ||||
\(371\) | 15.1031 | + | 7.47498i | 0.784115 | + | 0.388082i | ||||
\(372\) | 30.9983 | − | 22.5216i | 1.60719 | − | 1.16769i | ||||
\(373\) | −8.39019 | − | 4.84408i | −0.434427 | − | 0.250817i | 0.266804 | − | 0.963751i | \(-0.414033\pi\) |
−0.701231 | + | 0.712934i | \(0.747366\pi\) | |||||||
\(374\) | 31.5245 | + | 12.8159i | 1.63009 | + | 0.662696i | ||||
\(375\) | 1.17147 | + | 2.02905i | 0.0604945 | + | 0.104780i | ||||
\(376\) | 3.24954 | + | 30.9173i | 0.167582 | + | 1.59444i | ||||
\(377\) | 11.7318 | − | 3.81190i | 0.604219 | − | 0.196323i | ||||
\(378\) | −3.77639 | + | 5.96624i | −0.194237 | + | 0.306870i | ||||
\(379\) | −6.65607 | − | 4.83592i | −0.341899 | − | 0.248404i | 0.403564 | − | 0.914952i | \(-0.367771\pi\) |
−0.745463 | + | 0.666547i | \(0.767771\pi\) | |||||||
\(380\) | −2.34926 | − | 5.27653i | −0.120515 | − | 0.270680i | ||||
\(381\) | −6.37352 | + | 1.35473i | −0.326525 | + | 0.0694051i | ||||
\(382\) | −34.6308 | − | 31.1817i | −1.77186 | − | 1.59539i | ||||
\(383\) | 6.98093 | − | 0.733726i | 0.356709 | − | 0.0374916i | 0.0755207 | − | 0.997144i | \(-0.475938\pi\) |
0.281188 | + | 0.959653i | \(0.409271\pi\) | |||||||
\(384\) | −14.5808 | −0.744075 | ||||||||
\(385\) | −2.06733 | − | 0.0164476i | −0.105361 | − | 0.000838248i | ||||
\(386\) | −33.1630 | −1.68795 | ||||||||
\(387\) | 10.5865 | − | 1.11269i | 0.538143 | − | 0.0565611i | ||||
\(388\) | 9.08322 | + | 8.17857i | 0.461131 | + | 0.415204i | ||||
\(389\) | 5.18263 | − | 1.10160i | 0.262770 | − | 0.0558534i | −0.0746427 | − | 0.997210i | \(-0.523782\pi\) |
0.337413 | + | 0.941357i | \(0.390448\pi\) | |||||||
\(390\) | −0.953178 | − | 2.14087i | −0.0482661 | − | 0.108407i | ||||
\(391\) | 12.9196 | + | 9.38666i | 0.653374 | + | 0.474704i | ||||
\(392\) | 56.7594 | − | 13.4546i | 2.86678 | − | 0.679562i | ||||
\(393\) | 6.76503 | − | 2.19809i | 0.341251 | − | 0.110879i | ||||
\(394\) | −2.52441 | − | 24.0182i | −0.127178 | − | 1.21002i | ||||
\(395\) | −1.29501 | − | 2.24302i | −0.0651590 | − | 0.112859i | ||||
\(396\) | −16.9453 | − | 1.22168i | −0.851532 | − | 0.0613919i | ||||
\(397\) | 9.21969 | + | 5.32299i | 0.462723 | + | 0.267153i | 0.713189 | − | 0.700972i | \(-0.247250\pi\) |
−0.250465 | + | 0.968126i | \(0.580584\pi\) | |||||||
\(398\) | −9.08065 | + | 6.59747i | −0.455172 | + | 0.330702i | ||||
\(399\) | 7.01965 | + | 10.5383i | 0.351422 | + | 0.527577i | ||||
\(400\) | 18.3270 | − | 56.4047i | 0.916350 | − | 2.82023i | ||||
\(401\) | −3.39006 | + | 1.50935i | −0.169291 | + | 0.0753733i | −0.489633 | − | 0.871929i | \(-0.662869\pi\) |
0.320341 | + | 0.947302i | \(0.396202\pi\) | |||||||
\(402\) | 3.00803 | − | 28.6195i | 0.150027 | − | 1.42741i | ||||
\(403\) | −5.79626 | − | 27.2693i | −0.288733 | − | 1.35838i | ||||
\(404\) | 85.7189 | + | 18.2201i | 4.26467 | + | 0.906485i | ||||
\(405\) | 0.138483 | + | 0.190606i | 0.00688129 | + | 0.00947129i | ||||
\(406\) | 22.6425 | + | 5.78505i | 1.12373 | + | 0.287107i | ||||
\(407\) | 13.0785 | − | 4.72825i | 0.648277 | − | 0.234371i | ||||
\(408\) | −16.0189 | + | 27.7455i | −0.793053 | + | 1.37361i | ||||
\(409\) | 21.8354 | + | 9.72176i | 1.07969 | + | 0.480710i | 0.867969 | − | 0.496619i | \(-0.165425\pi\) |
0.211724 | + | 0.977329i | \(0.432092\pi\) | |||||||
\(410\) | −1.98251 | + | 2.20180i | −0.0979093 | + | 0.108739i | ||||
\(411\) | 0.498427 | − | 0.448786i | 0.0245856 | − | 0.0221370i | ||||
\(412\) | 25.7204 | − | 35.4010i | 1.26715 | − | 1.74408i | ||||
\(413\) | −1.13810 | − | 6.68077i | −0.0560024 | − | 0.328739i | ||||
\(414\) | −10.5430 | − | 3.42562i | −0.518159 | − | 0.168360i | ||||
\(415\) | −0.783102 | + | 3.68421i | −0.0384410 | + | 0.180851i | ||||
\(416\) | −23.2618 | + | 52.2468i | −1.14050 | + | 2.56161i | ||||
\(417\) | −2.68475 | + | 1.55004i | −0.131473 | + | 0.0759059i | ||||
\(418\) | −19.9682 | + | 37.3601i | −0.976679 | + | 1.82734i | ||||
\(419\) | − | 25.9740i | − | 1.26891i | −0.772958 | − | 0.634457i | \(-0.781224\pi\) | ||
0.772958 | − | 0.634457i | \(-0.218776\pi\) | |||||||
\(420\) | 0.462712 | − | 3.15935i | 0.0225780 | − | 0.154160i | ||||
\(421\) | −1.84742 | − | 5.68577i | −0.0900377 | − | 0.277108i | 0.895891 | − | 0.444274i | \(-0.146538\pi\) |
−0.985929 | + | 0.167166i | \(0.946538\pi\) | |||||||
\(422\) | 36.0737 | + | 40.0639i | 1.75604 | + | 1.95028i | ||||
\(423\) | −3.71014 | − | 0.389951i | −0.180393 | − | 0.0189601i | ||||
\(424\) | −52.7862 | − | 5.54805i | −2.56352 | − | 0.269437i | ||||
\(425\) | −12.7199 | − | 14.1269i | −0.617005 | − | 0.685254i | ||||
\(426\) | 2.77473 | + | 8.53974i | 0.134436 | + | 0.413752i | ||||
\(427\) | −17.4626 | + | 6.93785i | −0.845074 | + | 0.335746i | ||||
\(428\) | 28.5803i | 1.38148i | ||||||||
\(429\) | −5.82681 | + | 10.9018i | −0.281321 | + | 0.526345i | ||||
\(430\) | −5.79646 | + | 3.34659i | −0.279530 | + | 0.161387i | ||||
\(431\) | −4.28461 | + | 9.62339i | −0.206382 | + | 0.463542i | −0.986847 | − | 0.161658i | \(-0.948316\pi\) |
0.780465 | + | 0.625200i | \(0.214983\pi\) | |||||||
\(432\) | 2.49383 | − | 11.7325i | 0.119984 | − | 0.564482i | ||||
\(433\) | −8.64573 | − | 2.80917i | −0.415487 | − | 0.135000i | 0.0938112 | − | 0.995590i | \(-0.470095\pi\) |
−0.509298 | + | 0.860590i | \(0.670095\pi\) | |||||||
\(434\) | 18.3516 | − | 49.5253i | 0.880905 | − | 2.37729i | ||||
\(435\) | 0.458342 | − | 0.630853i | 0.0219758 | − | 0.0302471i | ||||
\(436\) | −43.9790 | + | 39.5989i | −2.10621 | + | 1.89644i | ||||
\(437\) | −13.3019 | + | 14.7733i | −0.636316 | + | 0.706701i | ||||
\(438\) | −29.9348 | − | 13.3278i | −1.43034 | − | 0.636829i | ||||
\(439\) | 11.2092 | − | 19.4150i | 0.534988 | − | 0.926626i | −0.464176 | − | 0.885743i | \(-0.653650\pi\) |
0.999164 | − | 0.0408831i | \(-0.0130171\pi\) | |||||||
\(440\) | 6.12368 | − | 2.21388i | 0.291935 | − | 0.105543i | ||||
\(441\) | 0.163164 | + | 6.99810i | 0.00776973 | + | 0.333243i | ||||
\(442\) | 22.4777 | + | 30.9379i | 1.06915 | + | 1.47157i | ||||
\(443\) | 31.3450 | + | 6.66258i | 1.48925 | + | 0.316549i | 0.879443 | − | 0.476005i | \(-0.157915\pi\) |
0.609802 | + | 0.792553i | \(0.291249\pi\) | |||||||
\(444\) | 4.46574 | + | 21.0096i | 0.211934 | + | 0.997073i | ||||
\(445\) | −0.203428 | + | 1.93549i | −0.00964340 | + | 0.0917509i | ||||
\(446\) | −37.7486 | + | 16.8068i | −1.78745 | + | 0.795823i | ||||
\(447\) | 5.16415 | − | 15.8936i | 0.244256 | − | 0.751743i | ||||
\(448\) | −37.3518 | + | 24.8803i | −1.76471 | + | 1.17548i | ||||
\(449\) | 14.8444 | − | 10.7851i | 0.700549 | − | 0.508979i | −0.179562 | − | 0.983747i | \(-0.557468\pi\) |
0.880111 | + | 0.474768i | \(0.157468\pi\) | |||||||
\(450\) | 11.4279 | + | 6.59791i | 0.538717 | + | 0.311029i | ||||
\(451\) | 15.5877 | + | 1.12381i | 0.733996 | + | 0.0529180i | ||||
\(452\) | −17.1724 | − | 29.7434i | −0.807719 | − | 1.39901i | ||||
\(453\) | −0.348832 | − | 3.31892i | −0.0163896 | − | 0.155936i | ||||
\(454\) | −59.8616 | + | 19.4502i | −2.80945 | + | 0.912844i | ||||
\(455\) | −1.96305 | − | 1.24253i | −0.0920293 | − | 0.0582509i | ||||
\(456\) | −32.2649 | − | 23.4418i | −1.51094 | − | 1.09776i | ||||
\(457\) | −4.07074 | − | 9.14304i | −0.190421 | − | 0.427693i | 0.792953 | − | 0.609283i | \(-0.208542\pi\) |
−0.983374 | + | 0.181589i | \(0.941876\pi\) | |||||||
\(458\) | −34.5962 | + | 7.35365i | −1.61657 | + | 0.343613i | ||||
\(459\) | −2.85709 | − | 2.57254i | −0.133358 | − | 0.120076i | ||||
\(460\) | 4.98555 | − | 0.524002i | 0.232452 | − | 0.0244317i | ||||
\(461\) | −6.49015 | −0.302276 | −0.151138 | − | 0.988513i | \(-0.548294\pi\) | ||||
−0.151138 | + | 0.988513i | \(0.548294\pi\) | |||||||
\(462\) | −20.3736 | + | 11.5476i | −0.947865 | + | 0.537241i | ||||
\(463\) | 6.25854 | 0.290859 | 0.145429 | − | 0.989369i | \(-0.453544\pi\) | ||||
0.145429 | + | 0.989369i | \(0.453544\pi\) | |||||||
\(464\) | −39.4815 | + | 4.14967i | −1.83288 | + | 0.192644i | ||||
\(465\) | −1.30965 | − | 1.17921i | −0.0607334 | − | 0.0546846i | ||||
\(466\) | 44.6723 | − | 9.49539i | 2.06940 | − | 0.439866i | ||||
\(467\) | 9.52743 | + | 21.3990i | 0.440877 | + | 0.990226i | 0.988181 | + | 0.153292i | \(0.0489875\pi\) |
−0.547304 | + | 0.836934i | \(0.684346\pi\) | |||||||
\(468\) | −15.4455 | − | 11.2218i | −0.713970 | − | 0.518730i | ||||
\(469\) | −13.2471 | − | 25.2666i | −0.611696 | − | 1.16670i | ||||
\(470\) | 2.23088 | − | 0.724856i | 0.102903 | − | 0.0334351i | ||||
\(471\) | −2.04291 | − | 19.4370i | −0.0941324 | − | 0.895610i | ||||
\(472\) | 10.6726 | + | 18.4855i | 0.491247 | + | 0.850865i | ||||
\(473\) | 32.7055 | + | 13.2961i | 1.50380 | + | 0.611354i | ||||
\(474\) | −25.4079 | − | 14.6693i | −1.16703 | − | 0.673782i | ||||
\(475\) | 19.1443 | − | 13.9092i | 0.878403 | − | 0.638197i | ||||
\(476\) | 3.33324 | + | 51.9981i | 0.152779 | + | 2.38333i | ||||
\(477\) | 1.96824 | − | 6.05760i | 0.0901193 | − | 0.277359i | ||||
\(478\) | −20.1425 | + | 8.96800i | −0.921295 | + | 0.410187i | ||||
\(479\) | 2.44004 | − | 23.2154i | 0.111488 | − | 1.06074i | −0.785553 | − | 0.618794i | \(-0.787621\pi\) |
0.897041 | − | 0.441946i | \(-0.145712\pi\) | |||||||
\(480\) | 0.751658 | + | 3.53627i | 0.0343083 | + | 0.161408i | ||||
\(481\) | 15.2865 | + | 3.24924i | 0.697004 | + | 0.148153i | ||||
\(482\) | −40.6270 | − | 55.9183i | −1.85051 | − | 2.54701i | ||||
\(483\) | −10.5815 | + | 2.96791i | −0.481474 | + | 0.135044i | ||||
\(484\) | −47.6557 | − | 30.0653i | −2.16617 | − | 1.36661i | ||||
\(485\) | 0.281085 | − | 0.486853i | 0.0127634 | − | 0.0221068i | ||||
\(486\) | 2.43806 | + | 1.08550i | 0.110593 | + | 0.0492391i | ||||
\(487\) | 26.1124 | − | 29.0007i | 1.18326 | − | 1.31415i | 0.244475 | − | 0.969656i | \(-0.421384\pi\) |
0.938789 | − | 0.344492i | \(-0.111949\pi\) | |||||||
\(488\) | 43.9815 | − | 39.6011i | 1.99095 | − | 1.79266i | ||||
\(489\) | 7.39562 | − | 10.1792i | 0.334441 | − | 0.460319i | ||||
\(490\) | −1.88345 | − | 3.97807i | −0.0850857 | − | 0.179711i | ||||
\(491\) | 3.59074 | + | 1.16670i | 0.162048 | + | 0.0526525i | 0.388917 | − | 0.921273i | \(-0.372849\pi\) |
−0.226870 | + | 0.973925i | \(0.572849\pi\) | |||||||
\(492\) | −5.01844 | + | 23.6099i | −0.226249 | + | 1.06442i | ||||
\(493\) | −5.17554 | + | 11.6245i | −0.233095 | + | 0.523539i | ||||
\(494\) | −41.2263 | + | 23.8020i | −1.85486 | + | 1.07090i | ||||
\(495\) | 0.107080 | + | 0.774032i | 0.00481289 | + | 0.0347901i | ||||
\(496\) | 89.7200i | 4.02855i | ||||||||
\(497\) | 6.98274 | + | 5.52101i | 0.313219 | + | 0.247651i | ||||
\(498\) | 13.1843 | + | 40.5772i | 0.590804 | + | 1.81831i | ||||
\(499\) | 16.5867 | + | 18.4214i | 0.742524 | + | 0.824656i | 0.989525 | − | 0.144359i | \(-0.0461120\pi\) |
−0.247002 | + | 0.969015i | \(0.579445\pi\) | |||||||
\(500\) | −11.9359 | − | 1.25451i | −0.533788 | − | 0.0561034i | ||||
\(501\) | 6.30038 | + | 0.662197i | 0.281480 | + | 0.0295848i | ||||
\(502\) | 27.1664 | + | 30.1714i | 1.21250 | + | 1.34661i | ||||
\(503\) | −13.6237 | − | 41.9294i | −0.607450 | − | 1.86954i | −0.478981 | − | 0.877825i | \(-0.658994\pi\) |
−0.128469 | − | 0.991714i | \(-0.541006\pi\) | |||||||
\(504\) | −8.14050 | − | 20.4897i | −0.362607 | − | 0.912682i | ||||
\(505\) | − | 4.03063i | − | 0.179361i | ||||||
\(506\) | −25.4831 | − | 26.5027i | −1.13286 | − | 1.17819i | ||||
\(507\) | −0.771653 | + | 0.445514i | −0.0342703 | + | 0.0197860i | ||||
\(508\) | 13.5758 | − | 30.4918i | 0.602330 | − | 1.35286i | ||||
\(509\) | −4.42155 | + | 20.8018i | −0.195982 | + | 0.922022i | 0.764703 | + | 0.644382i | \(0.222885\pi\) |
−0.960685 | + | 0.277640i | \(0.910448\pi\) | |||||||
\(510\) | 2.29906 | + | 0.747011i | 0.101804 | + | 0.0330782i | ||||
\(511\) | −32.0235 | + | 5.45536i | −1.41664 | + | 0.241331i | ||||
\(512\) | −9.31719 | + | 12.8240i | −0.411765 | + | 0.566747i | ||||
\(513\) | 3.55660 | − | 3.20237i | 0.157028 | − | 0.141388i | ||||
\(514\) | −36.9740 | + | 41.0638i | −1.63085 | + | 1.81125i | ||||
\(515\) | −1.83861 | − | 0.818601i | −0.0810188 | − | 0.0360719i | ||||
\(516\) | −27.2638 | + | 47.2223i | −1.20022 | + | 2.07885i | ||||
\(517\) | −10.2427 | − | 6.94097i | −0.450471 | − | 0.305263i | ||||
\(518\) | 21.1782 | + | 20.6901i | 0.930515 | + | 0.909073i | ||||
\(519\) | −1.99865 | − | 2.75091i | −0.0877311 | − | 0.120751i | ||||
\(520\) | 7.15750 | + | 1.52137i | 0.313877 | + | 0.0667167i | ||||
\(521\) | −8.57517 | − | 40.3430i | −0.375685 | − | 1.76746i | −0.607121 | − | 0.794609i | \(-0.707676\pi\) |
0.231436 | − | 0.972850i | \(-0.425658\pi\) | |||||||
\(522\) | 0.923297 | − | 8.78458i | 0.0404116 | − | 0.384491i | ||||
\(523\) | 5.68683 | − | 2.53194i | 0.248668 | − | 0.110714i | −0.278618 | − | 0.960402i | \(-0.589876\pi\) |
0.527286 | + | 0.849688i | \(0.323210\pi\) | |||||||
\(524\) | −11.2596 | + | 34.6536i | −0.491879 | + | 1.51385i | ||||
\(525\) | 13.0551 | − | 0.836873i | 0.569771 | − | 0.0365241i | ||||
\(526\) | 32.5987 | − | 23.6843i | 1.42137 | − | 1.03268i | ||||
\(527\) | 24.9048 | + | 14.3788i | 1.08487 | + | 0.626351i | ||||
\(528\) | 25.6369 | − | 30.4193i | 1.11570 | − | 1.32383i | ||||
\(529\) | 2.87313 | + | 4.97641i | 0.124919 | + | 0.216366i | ||||
\(530\) | 0.418623 | + | 3.98293i | 0.0181838 | + | 0.173007i | ||||
\(531\) | −2.43611 | + | 0.791539i | −0.105718 | + | 0.0343499i | ||||
\(532\) | −64.8080 | − | 2.63942i | −2.80978 | − | 0.114433i | ||||
\(533\) | 14.2081 | + | 10.3228i | 0.615421 | + | 0.447130i | ||||
\(534\) | 8.96654 | + | 20.1392i | 0.388020 | + | 0.871508i | ||||
\(535\) | 1.28580 | − | 0.273304i | 0.0555898 | − | 0.0118160i | ||||
\(536\) | 66.7755 | + | 60.1250i | 2.88426 | + | 2.59700i | ||||
\(537\) | 11.7953 | − | 1.23974i | 0.509005 | − | 0.0534986i | ||||
\(538\) | 47.8121 | 2.06132 | ||||||||
\(539\) | −10.4634 | + | 20.7248i | −0.450691 | + | 0.892680i | ||||
\(540\) | −1.20686 | −0.0519350 | ||||||||
\(541\) | −4.14633 | + | 0.435797i | −0.178265 | + | 0.0187364i | −0.193240 | − | 0.981151i | \(-0.561900\pi\) |
0.0149755 | + | 0.999888i | \(0.495233\pi\) | |||||||
\(542\) | −23.9350 | − | 21.5512i | −1.02810 | − | 0.925702i | ||||
\(543\) | 5.60712 | − | 1.19183i | 0.240624 | − | 0.0511463i | ||||
\(544\) | −23.9953 | − | 53.8944i | −1.02879 | − | 2.31070i | ||||
\(545\) | 2.20207 | + | 1.59989i | 0.0943262 | + | 0.0685320i | ||||
\(546\) | −26.2949 | − | 1.07090i | −1.12532 | − | 0.0458305i | ||||
\(547\) | −11.5676 | + | 3.75853i | −0.494593 | + | 0.160703i | −0.545684 | − | 0.837991i | \(-0.683730\pi\) |
0.0510910 | + | 0.998694i | \(0.483730\pi\) | |||||||
\(548\) | 0.359121 | + | 3.41681i | 0.0153409 | + | 0.145959i | ||||
\(549\) | 3.55104 | + | 6.15058i | 0.151555 | + | 0.262500i | ||||
\(550\) | 23.1121 | + | 37.1653i | 0.985502 | + | 1.58473i | ||||
\(551\) | −13.7178 | − | 7.91996i | −0.584397 | − | 0.337402i | ||||
\(552\) | 28.0034 | − | 20.3456i | 1.19190 | − | 0.865968i | ||||
\(553\) | −29.0257 | + | 1.86064i | −1.23430 | + | 0.0791223i | ||||
\(554\) | −0.109150 | + | 0.335930i | −0.00463735 | + | 0.0142723i | ||||
\(555\) | 0.902495 | − | 0.401817i | 0.0383088 | − | 0.0170562i | ||||
\(556\) | 1.65992 | − | 15.7931i | 0.0703962 | − | 0.669775i | ||||
\(557\) | −0.422995 | − | 1.99003i | −0.0179229 | − | 0.0843204i | 0.968277 | − | 0.249879i | \(-0.0803907\pi\) |
−0.986200 | + | 0.165558i | \(0.947057\pi\) | |||||||
\(558\) | −19.5264 | − | 4.15046i | −0.826617 | − | 0.175703i | ||||
\(559\) | 23.3198 | + | 32.0969i | 0.986322 | + | 1.35756i | ||||
\(560\) | 5.34815 | + | 5.22491i | 0.226001 | + | 0.220793i | ||||
\(561\) | −4.33526 | − | 11.9915i | −0.183035 | − | 0.506281i | ||||
\(562\) | 33.7404 | − | 58.4401i | 1.42325 | − | 2.46515i | ||||
\(563\) | −39.2312 | − | 17.4669i | −1.65340 | − | 0.736140i | −0.653613 | − | 0.756829i | \(-0.726747\pi\) |
−0.999786 | + | 0.0206887i | \(0.993414\pi\) | |||||||
\(564\) | 12.7869 | − | 14.2013i | 0.538425 | − | 0.597981i | ||||
\(565\) | −1.17391 | + | 1.05699i | −0.0493867 | + | 0.0444679i | ||||
\(566\) | 25.0905 | − | 34.5341i | 1.05463 | − | 1.45158i | ||||
\(567\) | 2.60818 | − | 0.444316i | 0.109533 | − | 0.0186595i | ||||
\(568\) | −26.6650 | − | 8.66398i | −1.11884 | − | 0.363532i | ||||
\(569\) | −5.51271 | + | 25.9353i | −0.231105 | + | 1.08726i | 0.697613 | + | 0.716475i | \(0.254246\pi\) |
−0.928718 | + | 0.370788i | \(0.879088\pi\) | |||||||
\(570\) | −1.22396 | + | 2.74907i | −0.0512662 | + | 0.115146i | ||||
\(571\) | 7.25913 | − | 4.19106i | 0.303785 | − | 0.175391i | −0.340357 | − | 0.940296i | \(-0.610548\pi\) |
0.644142 | + | 0.764906i | \(0.277215\pi\) | |||||||
\(572\) | −27.6348 | − | 56.9715i | −1.15547 | − | 2.38210i | ||||
\(573\) | 17.4612i | 0.729451i | ||||||||
\(574\) | 12.2847 | + | 30.9207i | 0.512755 | + | 1.29061i | ||||
\(575\) | 6.34667 | + | 19.5330i | 0.264674 | + | 0.814584i | ||||
\(576\) | 11.3504 | + | 12.6059i | 0.472934 | + | 0.525246i | ||||
\(577\) | −10.5410 | − | 1.10790i | −0.438828 | − | 0.0461227i | −0.117461 | − | 0.993077i | \(-0.537476\pi\) |
−0.321367 | + | 0.946955i | \(0.604142\pi\) | |||||||
\(578\) | 5.88979 | + | 0.619042i | 0.244983 | + | 0.0257487i | ||||
\(579\) | 8.31477 | + | 9.23449i | 0.345550 | + | 0.383772i | ||||
\(580\) | 1.23433 | + | 3.79888i | 0.0512528 | + | 0.157740i | ||||
\(581\) | 33.1790 | + | 26.2334i | 1.37650 | + | 1.08835i | ||||
\(582\) | − | 6.36800i | − | 0.263962i | ||||||
\(583\) | 15.2275 | − | 14.6416i | 0.630658 | − | 0.606395i | ||||
\(584\) | 88.6081 | − | 51.1579i | 3.66663 | − | 2.11693i | ||||
\(585\) | −0.357157 | + | 0.802188i | −0.0147666 | + | 0.0331664i | ||||
\(586\) | 8.75619 | − | 41.1946i | 0.361715 | − | 1.70173i | ||||
\(587\) | −6.17879 | − | 2.00761i | −0.255026 | − | 0.0828629i | 0.178714 | − | 0.983901i | \(-0.442806\pi\) |
−0.433740 | + | 0.901038i | \(0.642806\pi\) | |||||||
\(588\) | −29.4925 | − | 20.3944i | −1.21625 | − | 0.841052i | ||||
\(589\) | −21.0418 | + | 28.9615i | −0.867011 | + | 1.19334i | ||||
\(590\) | 1.19690 | − | 1.07769i | 0.0492755 | − | 0.0443679i | ||||
\(591\) | −6.05510 | + | 6.72487i | −0.249074 | + | 0.276624i | ||||
\(592\) | −45.9466 | − | 20.4567i | −1.88839 | − | 0.840767i | ||||
\(593\) | 18.9855 | − | 32.8839i | 0.779641 | − | 1.35038i | −0.152508 | − | 0.988302i | \(-0.548735\pi\) |
0.932149 | − | 0.362076i | \(-0.117932\pi\) | |||||||
\(594\) | 5.43439 | + | 6.98673i | 0.222976 | + | 0.286669i | ||||
\(595\) | 2.30746 | − | 0.647200i | 0.0945967 | − | 0.0265326i | ||||
\(596\) | 50.3169 | + | 69.2552i | 2.06106 | + | 2.83680i | ||||
\(597\) | 4.11385 | + | 0.874426i | 0.168369 | + | 0.0357879i | ||||
\(598\) | −8.59019 | − | 40.4136i | −0.351279 | − | 1.65264i | ||||
\(599\) | 3.01690 | − | 28.7038i | 0.123267 | − | 1.17281i | −0.741613 | − | 0.670828i | \(-0.765939\pi\) |
0.864880 | − | 0.501979i | \(-0.167395\pi\) | |||||||
\(600\) | −37.6412 | + | 16.7589i | −1.53669 | + | 0.684180i | ||||
\(601\) | −5.87227 | + | 18.0730i | −0.239535 | + | 0.737213i | 0.756952 | + | 0.653470i | \(0.226687\pi\) |
−0.996487 | + | 0.0837428i | \(0.973313\pi\) | |||||||
\(602\) | 4.80830 | + | 75.0088i | 0.195972 | + | 3.05713i | ||||
\(603\) | −8.72349 | + | 6.33799i | −0.355248 | + | 0.258103i | ||||
\(604\) | 14.8044 | + | 8.54733i | 0.602383 | + | 0.347786i | ||||
\(605\) | −0.896890 | + | 2.43148i | −0.0364638 | + | 0.0988537i | ||||
\(606\) | −22.8286 | − | 39.5403i | −0.927348 | − | 1.60621i | ||||
\(607\) | −0.854178 | − | 8.12696i | −0.0346700 | − | 0.329863i | −0.998085 | − | 0.0618506i | \(-0.980300\pi\) |
0.963415 | − | 0.268013i | \(-0.0863669\pi\) | |||||||
\(608\) | 69.8441 | − | 22.6937i | 2.83255 | − | 0.920353i | ||||
\(609\) | −4.06613 | − | 7.75542i | −0.164768 | − | 0.314265i | ||||
\(610\) | −3.61274 | − | 2.62481i | −0.146276 | − | 0.106275i | ||||
\(611\) | −5.65531 | − | 12.7020i | −0.228789 | − | 0.513869i | ||||
\(612\) | 19.2634 | − | 4.09457i | 0.778678 | − | 0.165513i | ||||
\(613\) | −10.8688 | − | 9.78630i | −0.438986 | − | 0.395265i | 0.419786 | − | 0.907623i | \(-0.362105\pi\) |
−0.858772 | + | 0.512358i | \(0.828772\pi\) | |||||||
\(614\) | −68.4281 | + | 7.19208i | −2.76153 | + | 0.290249i | ||||
\(615\) | 1.11017 | 0.0447664 | ||||||||
\(616\) | 8.22180 | − | 72.6597i | 0.331266 | − | 2.92754i | ||||
\(617\) | −17.0126 | −0.684901 | −0.342450 | − | 0.939536i | \(-0.611257\pi\) | ||||
−0.342450 | + | 0.939536i | \(0.611257\pi\) | |||||||
\(618\) | −22.6730 | + | 2.38303i | −0.912043 | + | 0.0958596i | ||||
\(619\) | −0.683084 | − | 0.615051i | −0.0274555 | − | 0.0247210i | 0.655289 | − | 0.755379i | \(-0.272547\pi\) |
−0.682744 | + | 0.730658i | \(0.739214\pi\) | |||||||
\(620\) | 8.83006 | − | 1.87689i | 0.354624 | − | 0.0753776i | ||||
\(621\) | 1.68949 | + | 3.79465i | 0.0677968 | + | 0.152274i | ||||
\(622\) | 36.5178 | + | 26.5318i | 1.46423 | + | 1.06383i | ||||
\(623\) | 18.4664 | + | 11.6885i | 0.739842 | + | 0.468290i | ||||
\(624\) | 42.5168 | − | 13.8146i | 1.70204 | − | 0.553025i | ||||
\(625\) | −2.52650 | − | 24.0380i | −0.101060 | − | 0.961522i | ||||
\(626\) | 2.16821 | + | 3.75545i | 0.0866591 | + | 0.150098i | ||||
\(627\) | 15.4097 | − | 3.80677i | 0.615404 | − | 0.152028i | ||||
\(628\) | 86.7010 | + | 50.0568i | 3.45974 | + | 1.99748i | ||||
\(629\) | −13.0420 | + | 9.47558i | −0.520019 | + | 0.377816i | ||||
\(630\) | −1.38454 | + | 0.922249i | −0.0551613 | + | 0.0367433i | ||||
\(631\) | −7.15855 | + | 22.0318i | −0.284977 | + | 0.877070i | 0.701428 | + | 0.712740i | \(0.252546\pi\) |
−0.986405 | + | 0.164330i | \(0.947454\pi\) | |||||||
\(632\) | 83.6884 | − | 37.2605i | 3.32895 | − | 1.48214i | ||||
\(633\) | 2.11154 | − | 20.0900i | 0.0839262 | − | 0.798504i | ||||
\(634\) | 15.9878 | + | 75.2166i | 0.634956 | + | 2.98723i | ||||
\(635\) | −1.50161 | − | 0.319178i | −0.0595897 | − | 0.0126662i | ||||
\(636\) | 19.1775 | + | 26.3955i | 0.760436 | + | 1.04665i | ||||
\(637\) | −22.2839 | + | 13.5678i | −0.882922 | + | 0.537577i | ||||
\(638\) | 16.4343 | − | 24.2518i | 0.650640 | − | 0.960137i | ||||
\(639\) | 1.68226 | − | 2.91376i | 0.0665493 | − | 0.115267i | ||||
\(640\) | −3.13828 | − | 1.39725i | −0.124051 | − | 0.0552312i | ||||
\(641\) | −1.08902 | + | 1.20948i | −0.0430136 | + | 0.0477715i | −0.764268 | − | 0.644899i | \(-0.776899\pi\) |
0.721254 | + | 0.692671i | \(0.243566\pi\) | |||||||
\(642\) | 11.0657 | − | 9.96356i | 0.436726 | − | 0.393230i | ||||
\(643\) | 4.79592 | − | 6.60101i | 0.189133 | − | 0.260319i | −0.703912 | − | 0.710288i | \(-0.748565\pi\) |
0.893044 | + | 0.449969i | \(0.148565\pi\) | |||||||
\(644\) | 19.5604 | − | 52.7874i | 0.770786 | − | 2.08011i | ||||
\(645\) | 2.38520 | + | 0.774997i | 0.0939170 | + | 0.0305155i | ||||
\(646\) | 10.2095 | − | 48.0321i | 0.401689 | − | 1.88980i | ||||
\(647\) | 5.87080 | − | 13.1860i | 0.230805 | − | 0.518396i | −0.760601 | − | 0.649220i | \(-0.775096\pi\) |
0.991406 | + | 0.130824i | \(0.0417622\pi\) | |||||||
\(648\) | −7.21675 | + | 4.16659i | −0.283501 | + | 0.163679i | ||||
\(649\) | −8.36318 | − | 1.49327i | −0.328283 | − | 0.0586160i | ||||
\(650\) | 49.1817i | 1.92907i | ||||||||
\(651\) | −18.3919 | + | 7.30705i | −0.720834 | + | 0.286386i | ||||
\(652\) | 19.9166 | + | 61.2971i | 0.779996 | + | 2.40058i | ||||
\(653\) | −18.5063 | − | 20.5533i | −0.724208 | − | 0.804314i | 0.262823 | − | 0.964844i | \(-0.415346\pi\) |
−0.987031 | + | 0.160530i | \(0.948680\pi\) | |||||||
\(654\) | 30.6636 | + | 3.22287i | 1.19904 | + | 0.126024i | ||||
\(655\) | 1.66670 | + | 0.175177i | 0.0651232 | + | 0.00684473i | ||||
\(656\) | −37.8190 | − | 42.0022i | −1.47658 | − | 1.63991i | ||||
\(657\) | 3.79414 | + | 11.6772i | 0.148024 | + | 0.455570i | ||||
\(658\) | 3.81719 | − | 26.0634i | 0.148810 | − | 1.01606i | ||||
\(659\) | 41.7753i | 1.62734i | 0.581330 | + | 0.813668i | \(0.302533\pi\) | ||||
−0.581330 | + | 0.813668i | \(0.697467\pi\) | |||||||
\(660\) | −3.53011 | − | 1.88678i | −0.137409 | − | 0.0734427i | ||||
\(661\) | −28.4168 | + | 16.4065i | −1.10529 | + | 0.638138i | −0.937605 | − | 0.347703i | \(-0.886962\pi\) |
−0.167682 | + | 0.985841i | \(0.553628\pi\) | |||||||
\(662\) | 11.7922 | − | 26.4857i | 0.458317 | − | 1.02940i | ||||
\(663\) | 2.97918 | − | 14.0159i | 0.115702 | − | 0.544334i | ||||
\(664\) | −126.700 | − | 41.1675i | −4.91693 | − | 1.59761i | ||||
\(665\) | 0.500994 | + | 2.94088i | 0.0194277 | + | 0.114042i | ||||
\(666\) | 6.57763 | − | 9.05333i | 0.254878 | − | 0.350810i | ||||
\(667\) | 10.2166 | − | 9.19908i | 0.395589 | − | 0.356190i | ||||
\(668\) | −21.7141 | + | 24.1159i | −0.840144 | + | 0.933074i | ||||
\(669\) | 14.1444 | + | 6.29751i | 0.546856 | + | 0.243476i | ||||
\(670\) | 3.38997 | − | 5.87161i | 0.130966 | − | 0.226840i | ||||
\(671\) | 0.771249 | + | 23.5423i | 0.0297737 | + | 0.908840i | ||||
\(672\) | 39.3351 | + | 10.0499i | 1.51738 | + | 0.387684i | ||||
\(673\) | 3.00454 | + | 4.13540i | 0.115817 | + | 0.159408i | 0.862990 | − | 0.505222i | \(-0.168589\pi\) |
−0.747173 | + | 0.664630i | \(0.768589\pi\) | |||||||
\(674\) | 26.9413 | + | 5.72656i | 1.03774 | + | 0.220579i | ||||
\(675\) | −1.02802 | − | 4.83644i | −0.0395684 | − | 0.186155i | ||||
\(676\) | 0.477094 | − | 4.53925i | 0.0183498 | − | 0.174587i | ||||
\(677\) | −17.6183 | + | 7.84419i | −0.677128 | + | 0.301477i | −0.716337 | − | 0.697754i | \(-0.754183\pi\) |
0.0392093 | + | 0.999231i | \(0.487516\pi\) | |||||||
\(678\) | −5.52941 | + | 17.0178i | −0.212356 | + | 0.653564i | ||||
\(679\) | −3.49979 | − | 5.25411i | −0.134310 | − | 0.201634i | ||||
\(680\) | −6.10659 | + | 4.43670i | −0.234177 | + | 0.170140i | ||||
\(681\) | 20.4248 | + | 11.7923i | 0.782680 | + | 0.451881i | ||||
\(682\) | −50.6266 | − | 42.6673i | −1.93859 | − | 1.63382i | ||||
\(683\) | 1.48922 | + | 2.57941i | 0.0569835 | + | 0.0986983i | 0.893110 | − | 0.449838i | \(-0.148518\pi\) |
−0.836126 | + | 0.548537i | \(0.815185\pi\) | |||||||
\(684\) | 2.56256 | + | 24.3811i | 0.0979819 | + | 0.932236i | ||||
\(685\) | 0.150284 | − | 0.0488303i | 0.00574206 | − | 0.00186571i | ||||
\(686\) | −49.4193 | − | 0.859633i | −1.88684 | − | 0.0328209i | ||||
\(687\) | 10.7218 | + | 7.78982i | 0.409061 | + | 0.297200i | ||||
\(688\) | −51.9325 | − | 116.642i | −1.97991 | − | 4.44695i | ||||
\(689\) | 23.2202 | − | 4.93561i | 0.884620 | − | 0.188032i | ||||
\(690\) | −1.94093 | − | 1.74762i | −0.0738898 | − | 0.0665306i | ||||
\(691\) | −12.9051 | + | 1.35638i | −0.490934 | + | 0.0515993i | −0.346762 | − | 0.937953i | \(-0.612719\pi\) |
−0.144173 | + | 0.989553i | \(0.546052\pi\) | |||||||
\(692\) | 17.4179 | 0.662130 | ||||||||
\(693\) | 8.32365 | + | 2.77792i | 0.316189 | + | 0.105525i | ||||
\(694\) | −29.4043 | −1.11617 | ||||||||
\(695\) | −0.726385 | + | 0.0763462i | −0.0275534 | + | 0.00289598i | ||||
\(696\) | 20.4963 | + | 18.4550i | 0.776912 | + | 0.699535i | ||||
\(697\) | −17.7201 | + | 3.76653i | −0.671197 | + | 0.142667i | ||||
\(698\) | −1.13765 | − | 2.55521i | −0.0430608 | − | 0.0967162i | ||||
\(699\) | −13.8445 | − | 10.0586i | −0.523646 | − | 0.380451i | ||||
\(700\) | −35.8395 | + | 56.6221i | −1.35461 | + | 2.14011i | ||||
\(701\) | −29.9894 | + | 9.74416i | −1.13269 | + | 0.368032i | −0.814596 | − | 0.580029i | \(-0.803041\pi\) |
−0.318090 | + | 0.948061i | \(0.603041\pi\) | |||||||
\(702\) | 1.03972 | + | 9.89228i | 0.0392417 | + | 0.373360i | ||||
\(703\) | −10.0338 | − | 17.3791i | −0.378433 | − | 0.655466i | ||||
\(704\) | 13.4926 | + | 54.6177i | 0.508521 | + | 2.05848i | ||||
\(705\) | −0.761176 | − | 0.439465i | −0.0286675 | − | 0.0165512i | ||||
\(706\) | 9.07883 | − | 6.59616i | 0.341686 | − | 0.248250i | ||||
\(707\) | −40.5664 | − | 20.0775i | −1.52566 | − | 0.755092i | ||||
\(708\) | 4.05462 | − | 12.4788i | 0.152382 | − | 0.468984i | ||||
\(709\) | −43.1134 | + | 19.1953i | −1.61916 | + | 0.720896i | −0.998026 | − | 0.0628089i | \(-0.979994\pi\) |
−0.621133 | + | 0.783705i | \(0.713327\pi\) | |||||||
\(710\) | −0.221132 | + | 2.10393i | −0.00829894 | + | 0.0789592i | ||||
\(711\) | 2.28561 | + | 10.7530i | 0.0857172 | + | 0.403268i | ||||
\(712\) | −67.3306 | − | 14.3116i | −2.52332 | − | 0.536348i | ||||
\(713\) | −18.2626 | − | 25.1363i | −0.683939 | − | 0.941362i | ||||
\(714\) | 18.9705 | − | 19.4179i | 0.709952 | − | 0.726698i | ||||
\(715\) | −2.29882 | + | 1.78806i | −0.0859710 | + | 0.0668696i | ||||
\(716\) | −30.3769 | + | 52.6143i | −1.13524 | + | 1.96629i | ||||
\(717\) | 7.54741 | + | 3.36032i | 0.281863 | + | 0.125494i | ||||
\(718\) | −9.96764 | + | 11.0702i | −0.371989 | + | 0.413135i | ||||
\(719\) | −34.7730 | + | 31.3097i | −1.29681 | + | 1.16766i | −0.321480 | + | 0.946916i | \(0.604180\pi\) |
−0.975333 | + | 0.220739i | \(0.929153\pi\) | |||||||
\(720\) | 1.66106 | − | 2.28625i | 0.0619040 | − | 0.0852035i | ||||
\(721\) | −17.3974 | + | 14.4271i | −0.647912 | + | 0.537292i | ||||
\(722\) | 9.91052 | + | 3.22012i | 0.368831 | + | 0.119841i | ||||
\(723\) | −5.38469 | + | 25.3330i | −0.200259 | + | 0.942143i | ||||
\(724\) | −11.9434 | + | 26.8252i | −0.443872 | + | 0.996952i | ||||
\(725\) | −14.1724 | + | 8.18245i | −0.526351 | + | 0.303889i | ||||
\(726\) | 4.97291 | + | 28.9325i | 0.184562 | + | 1.07378i | ||||
\(727\) | 7.14658i | 0.265052i | 0.991180 | + | 0.132526i | \(0.0423088\pi\) | ||||
−0.991180 | + | 0.132526i | \(0.957691\pi\) | |||||||
\(728\) | 50.9651 | − | 64.4586i | 1.88889 | − | 2.38899i | ||||
\(729\) | −0.309017 | − | 0.951057i | −0.0114451 | − | 0.0352243i | ||||
\(730\) | −5.16578 | − | 5.73718i | −0.191194 | − | 0.212343i | ||||
\(731\) | −40.7009 | − | 4.27784i | −1.50538 | − | 0.158222i | ||||
\(732\) | −36.1808 | − | 3.80275i | −1.33728 | − | 0.140554i | ||||
\(733\) | 21.8210 | + | 24.2346i | 0.805976 | + | 0.895127i | 0.996243 | − | 0.0866053i | \(-0.0276019\pi\) |
−0.190267 | + | 0.981732i | \(0.560935\pi\) | |||||||
\(734\) | −5.15844 | − | 15.8760i | −0.190401 | − | 0.585996i | ||||
\(735\) | −0.635495 | + | 1.52186i | −0.0234406 | + | 0.0561346i | ||||
\(736\) | 63.7388i | 2.34944i | ||||||||
\(737\) | −35.4252 | + | 4.90075i | −1.30490 | + | 0.180521i | ||||
\(738\) | 10.8907 | − | 6.28776i | 0.400893 | − | 0.231456i | ||||
\(739\) | 13.5143 | − | 30.3537i | 0.497133 | − | 1.11658i | −0.474537 | − | 0.880236i | \(-0.657384\pi\) |
0.971670 | − | 0.236343i | \(-0.0759490\pi\) | |||||||
\(740\) | −1.05214 | + | 4.94991i | −0.0386773 | + | 0.181962i | ||||
\(741\) | 16.9643 | + | 5.51202i | 0.623197 | + | 0.202489i | ||||
\(742\) | 42.1716 | + | 15.6267i | 1.54817 | + | 0.573673i | ||||
\(743\) | 12.1160 | − | 16.6763i | 0.444494 | − | 0.611794i | −0.526709 | − | 0.850045i | \(-0.676574\pi\) |
0.971203 | + | 0.238252i | \(0.0765744\pi\) | |||||||
\(744\) | 46.3219 | − | 41.7085i | 1.69824 | − | 1.52911i | ||||
\(745\) | 2.63455 | − | 2.92596i | 0.0965224 | − | 0.107199i | ||||
\(746\) | −23.6203 | − | 10.5165i | −0.864802 | − | 0.385035i | ||||
\(747\) | 7.99338 | − | 13.8449i | 0.292463 | − | 0.506560i | ||||
\(748\) | 62.7476 | + | 18.1392i | 2.29428 | + | 0.663236i | ||||
\(749\) | 3.65417 | − | 14.3023i | 0.133520 | − | 0.522595i | ||||
\(750\) | 3.67532 | + | 5.05864i | 0.134204 | + | 0.184715i | ||||
\(751\) | 40.4100 | + | 8.58942i | 1.47458 | + | 0.313432i | 0.873920 | − | 0.486070i | \(-0.161570\pi\) |
0.600663 | + | 0.799502i | \(0.294903\pi\) | |||||||
\(752\) | 9.30340 | + | 43.7691i | 0.339260 | + | 1.59609i | ||||
\(753\) | 1.59016 | − | 15.1294i | 0.0579487 | − | 0.551345i | ||||
\(754\) | 30.0749 | − | 13.3902i | 1.09526 | − | 0.487642i | ||||
\(755\) | 0.242965 | − | 0.747769i | 0.00884239 | − | 0.0272141i | ||||
\(756\) | −6.01165 | + | 12.1465i | −0.218642 | + | 0.441763i | ||||
\(757\) | 40.1653 | − | 29.1818i | 1.45983 | − | 1.06063i | 0.476427 | − | 0.879214i | \(-0.341932\pi\) |
0.983406 | − | 0.181417i | \(-0.0580682\pi\) | |||||||
\(758\) | −19.0154 | − | 10.9785i | −0.690671 | − | 0.398759i | ||||
\(759\) | −0.990655 | + | 13.7408i | −0.0359585 | + | 0.498760i | ||||
\(760\) | −4.69809 | − | 8.13733i | −0.170418 | − | 0.295172i | ||||
\(761\) | 4.15915 | + | 39.5717i | 0.150769 | + | 1.43447i | 0.764330 | + | 0.644825i | \(0.223070\pi\) |
−0.613561 | + | 0.789647i | \(0.710264\pi\) | |||||||
\(762\) | −16.5385 | + | 5.37369i | −0.599127 | + | 0.194668i | ||||
\(763\) | 27.0712 | − | 14.1933i | 0.980043 | − | 0.513832i | ||||
\(764\) | −72.3618 | − | 52.5739i | −2.61796 | − | 1.90206i | ||||
\(765\) | −0.368420 | − | 0.827485i | −0.0133202 | − | 0.0299178i | ||||
\(766\) | 18.3239 | − | 3.89487i | 0.662070 | − | 0.140727i | ||||
\(767\) | −7.09464 | − | 6.38804i | −0.256173 | − | 0.230659i | ||||
\(768\) | −4.96007 | + | 0.521325i | −0.178981 | + | 0.0188117i | ||||
\(769\) | 6.24486 | 0.225195 | 0.112598 | − | 0.993641i | \(-0.464083\pi\) | ||||
0.112598 | + | 0.993641i | \(0.464083\pi\) | |||||||
\(770\) | −5.49165 | + | 0.533058i | −0.197905 | + | 0.0192101i | ||||
\(771\) | 20.7048 | 0.745664 | ||||||||
\(772\) | −63.3041 | + | 6.65353i | −2.27837 | + | 0.239466i | ||||
\(773\) | −4.75288 | − | 4.27951i | −0.170949 | − | 0.153923i | 0.579215 | − | 0.815175i | \(-0.303359\pi\) |
−0.750164 | + | 0.661251i | \(0.770026\pi\) | |||||||
\(774\) | 27.7880 | − | 5.90653i | 0.998821 | − | 0.212306i | ||||
\(775\) | 15.0431 | + | 33.7873i | 0.540364 | + | 1.21368i | ||||
\(776\) | 16.0863 | + | 11.6874i | 0.577466 | + | 0.419553i | ||||
\(777\) | 0.451445 | − | 11.0847i | 0.0161955 | − | 0.397662i | ||||
\(778\) | 13.4483 | − | 4.36961i | 0.482145 | − | 0.156658i | ||||
\(779\) | −2.35726 | − | 22.4278i | −0.0844575 | − | 0.803560i | ||||
\(780\) | −2.24902 | − | 3.89543i | −0.0805280 | − | 0.139479i | ||||
\(781\) | 9.47599 | − | 5.89286i | 0.339078 | − | 0.210863i | ||||
\(782\) | 36.9095 | + | 21.3097i | 1.31988 | + | 0.762033i | ||||
\(783\) | −2.67762 | + | 1.94541i | −0.0956904 | + | 0.0695232i | ||||
\(784\) | 79.2266 | − | 27.8001i | 2.82952 | − | 0.992861i | ||||
\(785\) | 1.42291 | − | 4.37925i | 0.0507857 | − | 0.156302i | ||||
\(786\) | 17.3424 | − | 7.72132i | 0.618582 | − | 0.275410i | ||||
\(787\) | −1.30336 | + | 12.4006i | −0.0464597 | + | 0.442035i | 0.946422 | + | 0.322932i | \(0.104668\pi\) |
−0.992882 | + | 0.119103i | \(0.961998\pi\) | |||||||
\(788\) | −9.63758 | − | 45.3412i | −0.343324 | − | 1.61521i | ||||
\(789\) | −14.7683 | − | 3.13911i | −0.525767 | − | 0.111755i | ||||
\(790\) | −4.06290 | − | 5.59211i | −0.144552 | − | 0.198958i | ||||
\(791\) | 4.79060 | + | 17.0799i | 0.170334 | + | 0.607293i | ||||
\(792\) | −27.6232 | + | 0.904942i | −0.981549 | + | 0.0321557i | ||||
\(793\) | −13.2350 | + | 22.9236i | −0.469987 | + | 0.814041i | ||||
\(794\) | 25.9556 | + | 11.5562i | 0.921129 | + | 0.410113i | ||||
\(795\) | 1.00412 | − | 1.11518i | 0.0356124 | − | 0.0395515i | ||||
\(796\) | −16.0102 | + | 14.4156i | −0.567465 | + | 0.510948i | ||||
\(797\) | −3.08834 | + | 4.25073i | −0.109394 | + | 0.150569i | −0.860204 | − | 0.509950i | \(-0.829664\pi\) |
0.750809 | + | 0.660519i | \(0.229664\pi\) | |||||||
\(798\) | 21.5712 | + | 26.0123i | 0.763612 | + | 0.920827i | ||||
\(799\) | 13.6406 | + | 4.43209i | 0.482569 | + | 0.156796i | ||||
\(800\) | 15.7748 | − | 74.2144i | 0.557722 | − | 2.62388i | ||||
\(801\) | 3.35978 | − | 7.54618i | 0.118712 | − | 0.266631i | ||||
\(802\) | −8.57674 | + | 4.95178i | −0.302855 | + | 0.174854i | ||||
\(803\) | −7.15781 | + | 40.0879i | −0.252594 | + | 1.41467i | ||||
\(804\) | − | 55.2346i | − | 1.94797i | ||||||
\(805\) | −2.56189 | − | 0.375209i | −0.0902949 | − | 0.0132244i | ||||
\(806\) | −22.9915 | − | 70.7604i | −0.809840 | − | 2.49243i | ||||
\(807\) | −11.9876 | − | 13.3136i | −0.421985 | − | 0.468662i | ||||
\(808\) | 141.781 | + | 14.9018i | 4.98786 | + | 0.524245i | ||||
\(809\) | −21.8228 | − | 2.29366i | −0.767247 | − | 0.0806410i | −0.287185 | − | 0.957875i | \(-0.592719\pi\) |
−0.480063 | + | 0.877234i | \(0.659386\pi\) | |||||||
\(810\) | 0.420731 | + | 0.467269i | 0.0147830 | + | 0.0164182i | ||||
\(811\) | 0.0493231 | + | 0.151801i | 0.00173197 | + | 0.00533045i | 0.951919 | − | 0.306351i | \(-0.0991080\pi\) |
−0.950187 | + | 0.311681i | \(0.899108\pi\) | |||||||
\(812\) | 44.3824 | + | 6.50015i | 1.55752 | + | 0.228110i | ||||
\(813\) | 12.0683i | 0.423253i | ||||||||
\(814\) | 33.3936 | − | 16.1980i | 1.17045 | − | 0.567741i | ||||
\(815\) | 2.56723 | − | 1.48219i | 0.0899262 | − | 0.0519189i | ||||
\(816\) | −18.7565 | + | 42.1278i | −0.656608 | + | 1.47477i | ||||
\(817\) | 10.5920 | − | 49.8315i | 0.370568 | − | 1.74339i | ||||
\(818\) | 60.6671 | + | 19.7119i | 2.12117 | + | 0.689211i | ||||
\(819\) | 6.29456 | + | 7.59050i | 0.219950 | + | 0.265234i | ||||
\(820\) | −3.34262 | + | 4.60072i | −0.116729 | + | 0.160664i | ||||
\(821\) | 6.37824 | − | 5.74299i | 0.222602 | − | 0.200432i | −0.550282 | − | 0.834979i | \(-0.685480\pi\) |
0.772884 | + | 0.634547i | \(0.218813\pi\) | |||||||
\(822\) | 1.19772 | − | 1.33020i | 0.0417751 | − | 0.0463960i | ||||
\(823\) | −34.3517 | − | 15.2943i | −1.19742 | − | 0.533127i | −0.291501 | − | 0.956571i | \(-0.594155\pi\) |
−0.905923 | + | 0.423443i | \(0.860821\pi\) | |||||||
\(824\) | 35.5927 | − | 61.6484i | 1.23993 | − | 2.14763i | ||||
\(825\) | 4.55419 | − | 15.7540i | 0.158557 | − | 0.548483i | ||||
\(826\) | −4.88443 | − | 17.4144i | −0.169951 | − | 0.605926i | ||||
\(827\) | −6.66173 | − | 9.16908i | −0.231651 | − | 0.318840i | 0.677329 | − | 0.735680i | \(-0.263137\pi\) |
−0.908980 | + | 0.416840i | \(0.863137\pi\) | |||||||
\(828\) | −20.8125 | − | 4.42383i | −0.723284 | − | 0.153739i | ||||
\(829\) | 3.92330 | + | 18.4577i | 0.136262 | + | 0.641061i | 0.992270 | + | 0.124099i | \(0.0396040\pi\) |
−0.856008 | + | 0.516963i | \(0.827063\pi\) | |||||||
\(830\) | −1.05072 | + | 9.99698i | −0.0364712 | + | 0.347000i | ||||
\(831\) | 0.120909 | − | 0.0538320i | 0.00419427 | − | 0.00186741i | ||||
\(832\) | −19.5367 | + | 60.1276i | −0.677312 | + | 2.08455i | ||||
\(833\) | 4.98024 | − | 26.4474i | 0.172555 | − | 0.916347i | ||||
\(834\) | −6.69339 | + | 4.86303i | −0.231773 | + | 0.168393i | ||||
\(835\) | 1.29259 | + | 0.746279i | 0.0447321 | + | 0.0258261i | ||||
\(836\) | −30.6213 | + | 75.3220i | −1.05906 | + | 2.60507i | ||||
\(837\) | 3.74000 | + | 6.47788i | 0.129273 | + | 0.223908i | ||||
\(838\) | −7.24584 | − | 68.9395i | −0.250303 | − | 2.38148i | ||||
\(839\) | 10.8137 | − | 3.51360i | 0.373332 | − | 0.121303i | −0.116340 | − | 0.993209i | \(-0.537116\pi\) |
0.489672 | + | 0.871906i | \(0.337116\pi\) | |||||||
\(840\) | 0.211377 | − | 5.19014i | 0.00729322 | − | 0.179077i | ||||
\(841\) | −14.5993 | − | 10.6070i | −0.503424 | − | 0.365759i | ||||
\(842\) | −6.48950 | − | 14.5757i | −0.223643 | − | 0.502310i | ||||
\(843\) | −24.7326 | + | 5.25708i | −0.851836 | + | 0.181063i | ||||
\(844\) | 76.8982 | + | 69.2395i | 2.64695 | + | 2.38332i | ||||
\(845\) | −0.208778 | + | 0.0219435i | −0.00718218 | + | 0.000754878i | ||||
\(846\) | −9.95613 | −0.342299 | ||||||||
\(847\) | 20.0041 | + | 21.1385i | 0.687348 | + | 0.726329i | ||||
\(848\) | −76.3980 | −2.62352 | ||||||||
\(849\) | −15.9071 | + | 1.67190i | −0.545930 | + | 0.0573795i | ||||
\(850\) | −37.7017 | − | 33.9468i | −1.29316 | − | 1.16436i | ||||
\(851\) | 17.0366 | − | 3.62123i | 0.584006 | − | 0.124134i | ||||
\(852\) | 7.00995 | + | 15.7446i | 0.240157 | + | 0.539402i | ||||
\(853\) | 11.5992 | + | 8.42735i | 0.397151 | + | 0.288547i | 0.768379 | − | 0.639995i | \(-0.221063\pi\) |
−0.371229 | + | 0.928541i | \(0.621063\pi\) | |||||||
\(854\) | −44.4133 | + | 23.2857i | −1.51979 | + | 0.796821i | ||||
\(855\) | 1.07237 | − | 0.348436i | 0.0366744 | − | 0.0119162i | ||||
\(856\) | 4.85998 | + | 46.2396i | 0.166111 | + | 1.58044i | ||||
\(857\) | −3.30855 | − | 5.73059i | −0.113018 | − | 0.195753i | 0.803968 | − | 0.594673i | \(-0.202718\pi\) |
−0.916986 | + | 0.398920i | \(0.869385\pi\) | |||||||
\(858\) | −12.4241 | + | 30.5608i | −0.424153 | + | 1.04333i | ||||
\(859\) | 20.2429 | + | 11.6873i | 0.690679 | + | 0.398764i | 0.803867 | − | 0.594810i | \(-0.202773\pi\) |
−0.113187 | + | 0.993574i | \(0.536106\pi\) | |||||||
\(860\) | −10.3933 | + | 7.55117i | −0.354409 | + | 0.257493i | ||||
\(861\) | 5.53002 | − | 11.1734i | 0.188463 | − | 0.380787i | ||||
\(862\) | −8.68751 | + | 26.7374i | −0.295898 | + | 0.910680i | ||||
\(863\) | 8.23583 | − | 3.66683i | 0.280351 | − | 0.124820i | −0.261745 | − | 0.965137i | \(-0.584298\pi\) |
0.542095 | + | 0.840317i | \(0.317631\pi\) | |||||||
\(864\) | 1.60397 | − | 15.2608i | 0.0545683 | − | 0.519182i | ||||
\(865\) | −0.166562 | − | 0.783613i | −0.00566328 | − | 0.0266436i | ||||
\(866\) | −23.7309 | − | 5.04416i | −0.806409 | − | 0.171408i | ||||
\(867\) | −1.30433 | − | 1.79526i | −0.0442975 | − | 0.0609703i | ||||
\(868\) | 25.0946 | − | 98.2195i | 0.851766 | − | 3.33379i | ||||
\(869\) | −10.1254 | + | 35.0261i | −0.343482 | + | 1.18818i | ||||
\(870\) | 1.04053 | − | 1.80225i | 0.0352773 | − | 0.0611022i | ||||
\(871\) | −36.7139 | − | 16.3461i | −1.24400 | − | 0.553865i | ||||
\(872\) | −64.4193 | + | 71.5449i | −2.18151 | + | 2.42282i | ||||
\(873\) | −1.77322 | + | 1.59661i | −0.0600143 | + | 0.0540371i | ||||
\(874\) | −31.1843 | + | 42.9215i | −1.05483 | + | 1.45184i | ||||
\(875\) | 5.81261 | + | 2.15386i | 0.196502 | + | 0.0728139i | ||||
\(876\) | −59.8158 | − | 19.4353i | −2.02099 | − | 0.656659i | ||||
\(877\) | −2.33910 | + | 11.0046i | −0.0789860 | + | 0.371600i | −0.999832 | − | 0.0183265i | \(-0.994166\pi\) |
0.920846 | + | 0.389926i | \(0.127500\pi\) | |||||||
\(878\) | 24.3352 | − | 54.6577i | 0.821272 | − | 1.84461i | ||||
\(879\) | −13.6663 | + | 7.89026i | −0.460954 | + | 0.266132i | ||||
\(880\) | 8.43293 | − | 4.09051i | 0.284274 | − | 0.137891i | ||||
\(881\) | − | 3.55642i | − | 0.119819i | −0.998204 | − | 0.0599094i | \(-0.980919\pi\) | ||
0.998204 | − | 0.0599094i | \(-0.0190812\pi\) | |||||||
\(882\) | 2.38529 | + | 18.5286i | 0.0803169 | + | 0.623892i | ||||
\(883\) | 7.75476 | + | 23.8667i | 0.260968 | + | 0.803178i | 0.992595 | + | 0.121472i | \(0.0387616\pi\) |
−0.731626 | + | 0.681706i | \(0.761238\pi\) | |||||||
\(884\) | 49.1142 | + | 54.5469i | 1.65189 | + | 1.83461i | ||||
\(885\) | −0.600182 | − | 0.0630817i | −0.0201749 | − | 0.00212047i | ||||
\(886\) | 85.0536 | + | 8.93950i | 2.85743 | + | 0.300328i | ||||
\(887\) | −20.6403 | − | 22.9233i | −0.693032 | − | 0.769690i | 0.289218 | − | 0.957263i | \(-0.406605\pi\) |
−0.982251 | + | 0.187573i | \(0.939938\pi\) | |||||||
\(888\) | 10.7977 | + | 33.2318i | 0.362346 | + | 1.11519i | ||||
\(889\) | −10.6923 | + | 13.5231i | −0.358607 | + | 0.453551i | ||||
\(890\) | 5.19386i | 0.174099i | ||||||||
\(891\) | 0.582974 | − | 3.26499i | 0.0195303 | − | 0.109381i | ||||
\(892\) | −68.6854 | + | 39.6556i | −2.29976 | + | 1.32777i | ||||
\(893\) | −7.26190 | + | 16.3105i | −0.243010 | + | 0.545810i | ||||
\(894\) | 9.27279 | − | 43.6251i | 0.310129 | − | 1.45904i | ||||
\(895\) | 2.65754 | + | 0.863488i | 0.0888318 | + | 0.0288632i | ||||
\(896\) | −29.6952 | + | 24.6252i | −0.992046 | + | 0.822672i | ||||
\(897\) | −9.09971 | + | 12.5247i | −0.303830 | + | 0.418187i | ||||
\(898\) | 36.3909 | − | 32.7665i | 1.21438 | − | 1.09343i | ||||
\(899\) | 16.5655 | − | 18.3979i | 0.552491 | − | 0.613603i | ||||
\(900\) | 23.1382 | + | 10.3018i | 0.771274 | + | 0.343393i | ||||
\(901\) | −12.2438 | + | 21.2068i | −0.407899 | + | 0.706503i | ||||
\(902\) | 41.6859 | − | 1.36564i | 1.38799 | − | 0.0454708i | ||||
\(903\) | 19.6812 | − | 20.1454i | 0.654949 | − | 0.670397i | ||||
\(904\) | −32.8406 | − | 45.2012i | −1.09226 | − | 1.50337i | ||||
\(905\) | 1.32105 | + | 0.280797i | 0.0439131 | + | 0.00933402i | ||||
\(906\) | −1.85172 | − | 8.71167i | −0.0615194 | − | 0.289426i | ||||
\(907\) | 4.77553 | − | 45.4362i | 0.158569 | − | 1.50868i | −0.568823 | − | 0.822460i | \(-0.692601\pi\) |
0.727391 | − | 0.686223i | \(-0.240732\pi\) | |||||||
\(908\) | −110.366 | + | 49.1382i | −3.66263 | + | 1.63071i | ||||
\(909\) | −5.28660 | + | 16.2705i | −0.175345 | + | 0.539658i | ||||
\(910\) | −5.55691 | − | 2.75028i | −0.184210 | − | 0.0911708i | ||||
\(911\) | −9.33470 | + | 6.78206i | −0.309272 | + | 0.224700i | −0.731584 | − | 0.681751i | \(-0.761219\pi\) |
0.422312 | + | 0.906451i | \(0.361219\pi\) | |||||||
\(912\) | −49.7141 | − | 28.7024i | −1.64620 | − | 0.950432i | ||||
\(913\) | 45.0258 | − | 28.0003i | 1.49014 | − | 0.926675i | ||||
\(914\) | −13.3550 | − | 23.1316i | −0.441745 | − | 0.765126i | ||||
\(915\) | 0.174904 | + | 1.66410i | 0.00578213 | + | 0.0550133i | ||||
\(916\) | −64.5645 | + | 20.9783i | −2.13327 | + | 0.693141i | ||||
\(917\) | 10.0653 | − | 15.9019i | 0.332385 | − | 0.525127i | ||||
\(918\) | −8.30087 | − | 6.03093i | −0.273969 | − | 0.199050i | ||||
\(919\) | −6.67510 | − | 14.9925i | −0.220191 | − | 0.494557i | 0.769347 | − | 0.638832i | \(-0.220582\pi\) |
−0.989538 | + | 0.144274i | \(0.953915\pi\) | |||||||
\(920\) | 7.97693 | − | 1.69555i | 0.262992 | − | 0.0559006i | ||||
\(921\) | 19.1592 | + | 17.2511i | 0.631319 | + | 0.568442i | ||||
\(922\) | −17.2260 | + | 1.81052i | −0.567307 | + | 0.0596264i | ||||
\(923\) | 12.5398 | 0.412753 | ||||||||
\(924\) | −36.5738 | + | 26.1304i | −1.20319 | + | 0.859628i | ||||
\(925\) | −20.7328 | −0.681690 | ||||||||
\(926\) | 16.6112 | − | 1.74591i | 0.545879 | − | 0.0573742i | ||||
\(927\) | 6.34825 | + | 5.71599i | 0.208504 | + | 0.187738i | ||||
\(928\) | −49.6774 | + | 10.5593i | −1.63074 | + | 0.346624i | ||||
\(929\) | 10.7806 | + | 24.2136i | 0.353699 | + | 0.794422i | 0.999521 | + | 0.0309338i | \(0.00984812\pi\) |
−0.645822 | + | 0.763488i | \(0.723485\pi\) | |||||||
\(930\) | −3.80499 | − | 2.76449i | −0.124771 | − | 0.0906511i | ||||
\(931\) | 32.0941 | + | 9.60694i | 1.05184 | + | 0.314855i | ||||
\(932\) | 83.3688 | − | 27.0882i | 2.73084 | − | 0.887303i | ||||
\(933\) | −1.76794 | − | 16.8208i | −0.0578797 | − | 0.550689i | ||||
\(934\) | 31.2570 | + | 54.1387i | 1.02276 | + | 1.77147i | ||||
\(935\) | 0.216028 | − | 2.99640i | 0.00706488 | − | 0.0979929i | ||||
\(936\) | −26.8973 | − | 15.5292i | −0.879166 | − | 0.507587i | ||||
\(937\) | −30.3605 | + | 22.0582i | −0.991835 | + | 0.720611i | −0.960322 | − | 0.278893i | \(-0.910033\pi\) |
−0.0315131 | + | 0.999503i | \(0.510033\pi\) | |||||||
\(938\) | −42.2087 | − | 63.3663i | −1.37816 | − | 2.06898i | ||||
\(939\) | 0.502110 | − | 1.54534i | 0.0163857 | − | 0.0504301i | ||||
\(940\) | 4.11304 | − | 1.83124i | 0.134153 | − | 0.0597286i | ||||
\(941\) | −3.08577 | + | 29.3591i | −0.100593 | + | 0.957080i | 0.821525 | + | 0.570172i | \(0.193123\pi\) |
−0.922118 | + | 0.386908i | \(0.873543\pi\) | |||||||
\(942\) | −10.8445 | − | 51.0193i | −0.353332 | − | 1.66230i | ||||
\(943\) | 19.1451 | + | 4.06941i | 0.623450 | + | 0.132518i | ||||
\(944\) | 18.0591 | + | 24.8562i | 0.587773 | + | 0.809000i | ||||
\(945\) | 0.603944 | + | 0.154305i | 0.0196463 | + | 0.00501953i | ||||
\(946\) | 90.5152 | + | 26.1664i | 2.94290 | + | 0.850742i | ||||
\(947\) | 0.582446 | − | 1.00883i | 0.0189269 | − | 0.0327824i | −0.856407 | − | 0.516302i | \(-0.827308\pi\) |
0.875334 | + | 0.483519i | \(0.160642\pi\) | |||||||
\(948\) | −51.4437 | − | 22.9042i | −1.67081 | − | 0.743894i | ||||
\(949\) | −30.6203 | + | 34.0073i | −0.993977 | + | 1.10392i | ||||
\(950\) | 46.9322 | − | 42.2580i | 1.52268 | − | 1.37103i | ||||
\(951\) | 16.9361 | − | 23.3105i | 0.549190 | − | 0.755895i | ||||
\(952\) | 14.2349 | + | 83.5601i | 0.461356 | + | 2.70820i | ||||
\(953\) | 25.3195 | + | 8.22679i | 0.820178 | + | 0.266492i | 0.688902 | − | 0.724854i | \(-0.258093\pi\) |
0.131275 | + | 0.991346i | \(0.458093\pi\) | |||||||
\(954\) | 3.53418 | − | 16.6270i | 0.114423 | − | 0.538319i | ||||
\(955\) | −1.67327 | + | 3.75822i | −0.0541457 | + | 0.121613i | ||||
\(956\) | −36.6502 | + | 21.1600i | −1.18535 | + | 0.684363i | ||||
\(957\) | −10.8736 | + | 1.50426i | −0.351492 | + | 0.0486257i | ||||
\(958\) | − | 62.2985i | − | 2.01277i | ||||||
\(959\) | 0.257147 | − | 1.75577i | 0.00830371 | − | 0.0566969i | ||||
\(960\) | 1.23499 | + | 3.80089i | 0.0398590 | + | 0.122673i | ||||
\(961\) | −16.6952 | − | 18.5419i | −0.538554 | − | 0.598124i | ||||
\(962\) | 41.4794 | + | 4.35966i | 1.33735 | + | 0.140561i | ||||
\(963\) | −5.54885 | − | 0.583208i | −0.178809 | − | 0.0187936i | ||||
\(964\) | −88.7709 | − | 98.5901i | −2.85912 | − | 3.17537i | ||||
\(965\) | 0.904692 | + | 2.78436i | 0.0291231 | + | 0.0896316i | ||||
\(966\) | −27.2571 | + | 10.8292i | −0.876984 | + | 0.348424i | ||||
\(967\) | 16.4445i | 0.528820i | 0.964410 | + | 0.264410i | \(0.0851773\pi\) | ||||
−0.964410 | + | 0.264410i | \(0.914823\pi\) | |||||||
\(968\) | −82.2138 | − | 40.5386i | −2.64245 | − | 1.30296i | ||||
\(969\) | −15.9347 | + | 9.19988i | −0.511895 | + | 0.295543i | ||||
\(970\) | 0.610232 | − | 1.37060i | 0.0195934 | − | 0.0440074i | ||||
\(971\) | 7.74120 | − | 36.4195i | 0.248427 | − | 1.16876i | −0.660181 | − | 0.751107i | \(-0.729520\pi\) |
0.908608 | − | 0.417651i | \(-0.137146\pi\) | |||||||
\(972\) | 4.87175 | + | 1.58293i | 0.156261 | + | 0.0507724i | ||||
\(973\) | −2.84991 | + | 7.69102i | −0.0913638 | + | 0.246563i | ||||
\(974\) | 61.2165 | − | 84.2573i | 1.96150 | − | 2.69978i | ||||
\(975\) | 13.6950 | − | 12.3310i | 0.438591 | − | 0.394909i | ||||
\(976\) | 57.0011 | − | 63.3062i | 1.82456 | − | 2.02638i | ||||
\(977\) | 33.8510 | + | 15.0714i | 1.08299 | + | 0.482177i | 0.869078 | − | 0.494676i | \(-0.164713\pi\) |
0.213911 | + | 0.976853i | \(0.431380\pi\) | |||||||
\(978\) | 16.7896 | − | 29.0805i | 0.536872 | − | 0.929890i | ||||
\(979\) | 21.6250 | − | 16.8203i | 0.691138 | − | 0.537578i | ||||
\(980\) | −4.39340 | − | 7.21576i | −0.140342 | − | 0.230499i | ||||
\(981\) | −6.79067 | − | 9.34655i | −0.216809 | − | 0.298413i | ||||
\(982\) | 9.85591 | + | 2.09494i | 0.314515 | + | 0.0668521i | ||||
\(983\) | 11.7410 | + | 55.2369i | 0.374479 | + | 1.76178i | 0.612447 | + | 0.790511i | \(0.290185\pi\) |
−0.237969 | + | 0.971273i | \(0.576482\pi\) | |||||||
\(984\) | −4.10447 | + | 39.0514i | −0.130846 | + | 1.24491i | ||||
\(985\) | −1.94769 | + | 0.867167i | −0.0620585 | + | 0.0276302i | ||||
\(986\) | −10.4940 | + | 32.2971i | −0.334196 | + | 1.02855i | ||||
\(987\) | −8.21460 | + | 5.47180i | −0.261474 | + | 0.174169i | ||||
\(988\) | −73.9204 | + | 53.7063i | −2.35172 | + | 1.70863i | ||||
\(989\) | 38.2923 | + | 22.1080i | 1.21762 | + | 0.702995i | ||||
\(990\) | 0.500137 | + | 2.02454i | 0.0158954 | + | 0.0643442i | ||||
\(991\) | −8.47012 | − | 14.6707i | −0.269062 | − | 0.466030i | 0.699558 | − | 0.714576i | \(-0.253380\pi\) |
−0.968620 | + | 0.248547i | \(0.920047\pi\) | |||||||
\(992\) | 11.9977 | + | 114.151i | 0.380928 | + | 3.62429i | ||||
\(993\) | −10.3317 | + | 3.35698i | −0.327867 | + | 0.106531i | ||||
\(994\) | 20.0736 | + | 12.7058i | 0.636695 | + | 0.403002i | ||||
\(995\) | 0.801642 | + | 0.582427i | 0.0254138 | + | 0.0184642i | ||||
\(996\) | 33.3083 | + | 74.8116i | 1.05541 | + | 2.37050i | ||||
\(997\) | 41.3513 | − | 8.78949i | 1.30961 | − | 0.278366i | 0.500353 | − | 0.865822i | \(-0.333204\pi\) |
0.809256 | + | 0.587456i | \(0.199870\pi\) | |||||||
\(998\) | 49.1630 | + | 44.2665i | 1.55623 | + | 1.40123i | ||||
\(999\) | −4.17014 | + | 0.438299i | −0.131937 | + | 0.0138672i |
(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 | 231.2.ba.a.19.16 | ✓ | 128 | |
3.2 | odd | 2 | 693.2.cg.c.19.1 | 128 | |||
7.3 | odd | 6 | inner | 231.2.ba.a.52.1 | yes | 128 | |
11.7 | odd | 10 | inner | 231.2.ba.a.40.1 | yes | 128 | |
21.17 | even | 6 | 693.2.cg.c.514.16 | 128 | |||
33.29 | even | 10 | 693.2.cg.c.271.16 | 128 | |||
77.73 | even | 30 | inner | 231.2.ba.a.73.16 | yes | 128 | |
231.227 | odd | 30 | 693.2.cg.c.73.1 | 128 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
231.2.ba.a.19.16 | ✓ | 128 | 1.1 | even | 1 | trivial | |
231.2.ba.a.40.1 | yes | 128 | 11.7 | odd | 10 | inner | |
231.2.ba.a.52.1 | yes | 128 | 7.3 | odd | 6 | inner | |
231.2.ba.a.73.16 | yes | 128 | 77.73 | even | 30 | inner | |
693.2.cg.c.19.1 | 128 | 3.2 | odd | 2 | |||
693.2.cg.c.73.1 | 128 | 231.227 | odd | 30 | |||
693.2.cg.c.271.16 | 128 | 33.29 | even | 10 | |||
693.2.cg.c.514.16 | 128 | 21.17 | even | 6 |