Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [570,2,Mod(61,570)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(570, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([0, 0, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("570.61");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 570 = 2 \cdot 3 \cdot 5 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 570.u (of order \(9\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.55147291521\) |
Analytic rank: | \(0\) |
Dimension: | \(12\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{9})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{12} + \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{12} + 24x^{10} + 216x^{8} + 905x^{6} + 1770x^{4} + 1395x^{2} + 361 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 3 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 511.2 | ||
Root | \(2.01431i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 570.511 |
Dual form | 570.2.u.i.541.2 |
$q$-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 \(\left(\mathbb{Z}/570\mathbb{Z}\right)^\times\).
\(n\) | \(191\) | \(211\) | \(457\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{5}{9}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.173648 | − | 0.984808i | 0.122788 | − | 0.696364i | ||||
\(3\) | 0.766044 | + | 0.642788i | 0.442276 | + | 0.371114i | ||||
\(4\) | −0.939693 | − | 0.342020i | −0.469846 | − | 0.171010i | ||||
\(5\) | −0.939693 | + | 0.342020i | −0.420243 | + | 0.152956i | ||||
\(6\) | 0.766044 | − | 0.642788i | 0.312736 | − | 0.262417i | ||||
\(7\) | 1.48371 | + | 2.56987i | 0.560791 | + | 0.971318i | 0.997428 | + | 0.0716803i | \(0.0228361\pi\) |
−0.436637 | + | 0.899638i | \(0.643831\pi\) | |||||||
\(8\) | −0.500000 | + | 0.866025i | −0.176777 | + | 0.306186i | ||||
\(9\) | 0.173648 | + | 0.984808i | 0.0578827 | + | 0.328269i | ||||
\(10\) | 0.173648 | + | 0.984808i | 0.0549124 | + | 0.311424i | ||||
\(11\) | −1.71767 | + | 2.97509i | −0.517897 | + | 0.897023i | 0.481887 | + | 0.876233i | \(0.339951\pi\) |
−0.999784 | + | 0.0207899i | \(0.993382\pi\) | |||||||
\(12\) | −0.500000 | − | 0.866025i | −0.144338 | − | 0.250000i | ||||
\(13\) | −1.25638 | + | 1.05423i | −0.348457 | + | 0.292390i | −0.800170 | − | 0.599773i | \(-0.795257\pi\) |
0.451713 | + | 0.892163i | \(0.350813\pi\) | |||||||
\(14\) | 2.78847 | − | 1.01492i | 0.745249 | − | 0.271249i | ||||
\(15\) | −0.939693 | − | 0.342020i | −0.242628 | − | 0.0883092i | ||||
\(16\) | 0.766044 | + | 0.642788i | 0.191511 | + | 0.160697i | ||||
\(17\) | −0.0455330 | + | 0.258230i | −0.0110434 | + | 0.0626301i | −0.989831 | − | 0.142245i | \(-0.954568\pi\) |
0.978788 | + | 0.204875i | \(0.0656789\pi\) | |||||||
\(18\) | 1.00000 | 0.235702 | ||||||||
\(19\) | −0.0583546 | + | 4.35851i | −0.0133875 | + | 0.999910i | ||||
\(20\) | 1.00000 | 0.223607 | ||||||||
\(21\) | −0.515288 | + | 2.92234i | −0.112445 | + | 0.637708i | ||||
\(22\) | 2.63162 | + | 2.20819i | 0.561063 | + | 0.470788i | ||||
\(23\) | −0.142073 | − | 0.0517103i | −0.0296243 | − | 0.0107824i | 0.327166 | − | 0.944967i | \(-0.393907\pi\) |
−0.356790 | + | 0.934185i | \(0.616129\pi\) | |||||||
\(24\) | −0.939693 | + | 0.342020i | −0.191814 | + | 0.0698146i | ||||
\(25\) | 0.766044 | − | 0.642788i | 0.153209 | − | 0.128558i | ||||
\(26\) | 0.820043 | + | 1.42036i | 0.160824 | + | 0.278555i | ||||
\(27\) | −0.500000 | + | 0.866025i | −0.0962250 | + | 0.166667i | ||||
\(28\) | −0.515288 | − | 2.92234i | −0.0973803 | − | 0.552271i | ||||
\(29\) | −0.841640 | − | 4.77318i | −0.156289 | − | 0.886357i | −0.957598 | − | 0.288107i | \(-0.906974\pi\) |
0.801310 | − | 0.598250i | \(-0.204137\pi\) | |||||||
\(30\) | −0.500000 | + | 0.866025i | −0.0912871 | + | 0.158114i | ||||
\(31\) | 1.71287 | + | 2.96678i | 0.307641 | + | 0.532850i | 0.977846 | − | 0.209326i | \(-0.0671271\pi\) |
−0.670205 | + | 0.742176i | \(0.733794\pi\) | |||||||
\(32\) | 0.766044 | − | 0.642788i | 0.135419 | − | 0.113630i | ||||
\(33\) | −3.22816 | + | 1.17495i | −0.561951 | + | 0.204533i | ||||
\(34\) | 0.246401 | + | 0.0896825i | 0.0422574 | + | 0.0153804i | ||||
\(35\) | −2.27318 | − | 1.90742i | −0.384238 | − | 0.322414i | ||||
\(36\) | 0.173648 | − | 0.984808i | 0.0289414 | − | 0.164135i | ||||
\(37\) | 12.0459 | 1.98033 | 0.990165 | − | 0.139906i | \(-0.0446800\pi\) | ||||
0.990165 | + | 0.139906i | \(0.0446800\pi\) | |||||||
\(38\) | 4.28216 | + | 0.814315i | 0.694658 | + | 0.132099i | ||||
\(39\) | −1.64009 | −0.262624 | ||||||||
\(40\) | 0.173648 | − | 0.984808i | 0.0274562 | − | 0.155712i | ||||
\(41\) | 4.43490 | + | 3.72132i | 0.692615 | + | 0.581173i | 0.919662 | − | 0.392711i | \(-0.128463\pi\) |
−0.227047 | + | 0.973884i | \(0.572907\pi\) | |||||||
\(42\) | 2.78847 | + | 1.01492i | 0.430270 | + | 0.156605i | ||||
\(43\) | 0.567130 | − | 0.206418i | 0.0864865 | − | 0.0314785i | −0.298415 | − | 0.954436i | \(-0.596458\pi\) |
0.384901 | + | 0.922958i | \(0.374236\pi\) | |||||||
\(44\) | 2.63162 | − | 2.20819i | 0.396732 | − | 0.332897i | ||||
\(45\) | −0.500000 | − | 0.866025i | −0.0745356 | − | 0.129099i | ||||
\(46\) | −0.0755955 | + | 0.130935i | −0.0111459 | + | 0.0193053i | ||||
\(47\) | 0.582418 | + | 3.30305i | 0.0849543 | + | 0.481800i | 0.997366 | + | 0.0725273i | \(0.0231064\pi\) |
−0.912412 | + | 0.409273i | \(0.865782\pi\) | |||||||
\(48\) | 0.173648 | + | 0.984808i | 0.0250640 | + | 0.142145i | ||||
\(49\) | −0.902808 | + | 1.56371i | −0.128973 | + | 0.223387i | ||||
\(50\) | −0.500000 | − | 0.866025i | −0.0707107 | − | 0.122474i | ||||
\(51\) | −0.200868 | + | 0.168548i | −0.0281271 | + | 0.0236014i | ||||
\(52\) | 1.54118 | − | 0.560943i | 0.213723 | − | 0.0777888i | ||||
\(53\) | −11.1393 | − | 4.05436i | −1.53009 | − | 0.556909i | −0.566450 | − | 0.824096i | \(-0.691684\pi\) |
−0.963645 | + | 0.267187i | \(0.913906\pi\) | |||||||
\(54\) | 0.766044 | + | 0.642788i | 0.104245 | + | 0.0874723i | ||||
\(55\) | 0.596540 | − | 3.38315i | 0.0804374 | − | 0.456183i | ||||
\(56\) | −2.96743 | −0.396539 | ||||||||
\(57\) | −2.84630 | + | 3.30130i | −0.377001 | + | 0.437268i | ||||
\(58\) | −4.84681 | −0.636417 | ||||||||
\(59\) | 0.473734 | − | 2.68668i | 0.0616750 | − | 0.349776i | −0.938317 | − | 0.345776i | \(-0.887616\pi\) |
0.999992 | − | 0.00399993i | \(-0.00127322\pi\) | |||||||
\(60\) | 0.766044 | + | 0.642788i | 0.0988959 | + | 0.0829835i | ||||
\(61\) | −2.41562 | − | 0.879213i | −0.309288 | − | 0.112572i | 0.182713 | − | 0.983166i | \(-0.441512\pi\) |
−0.492001 | + | 0.870595i | \(0.663734\pi\) | |||||||
\(62\) | 3.21915 | − | 1.17167i | 0.408832 | − | 0.148803i | ||||
\(63\) | −2.27318 | + | 1.90742i | −0.286394 | + | 0.240313i | ||||
\(64\) | −0.500000 | − | 0.866025i | −0.0625000 | − | 0.108253i | ||||
\(65\) | 0.820043 | − | 1.42036i | 0.101714 | − | 0.176174i | ||||
\(66\) | 0.596540 | + | 3.38315i | 0.0734290 | + | 0.416437i | ||||
\(67\) | 0.0888612 | + | 0.503957i | 0.0108561 | + | 0.0615681i | 0.989755 | − | 0.142779i | \(-0.0456039\pi\) |
−0.978898 | + | 0.204347i | \(0.934493\pi\) | |||||||
\(68\) | 0.131107 | − | 0.227084i | 0.0158991 | − | 0.0275380i | ||||
\(69\) | −0.0755955 | − | 0.130935i | −0.00910062 | − | 0.0157627i | ||||
\(70\) | −2.27318 | + | 1.90742i | −0.271697 | + | 0.227981i | ||||
\(71\) | 4.34247 | − | 1.58053i | 0.515356 | − | 0.187574i | −0.0712319 | − | 0.997460i | \(-0.522693\pi\) |
0.586588 | + | 0.809886i | \(0.300471\pi\) | |||||||
\(72\) | −0.939693 | − | 0.342020i | −0.110744 | − | 0.0403075i | ||||
\(73\) | −4.88951 | − | 4.10279i | −0.572274 | − | 0.480195i | 0.310126 | − | 0.950696i | \(-0.399629\pi\) |
−0.882400 | + | 0.470501i | \(0.844073\pi\) | |||||||
\(74\) | 2.09174 | − | 11.8629i | 0.243160 | − | 1.37903i | ||||
\(75\) | 1.00000 | 0.115470 | ||||||||
\(76\) | 1.54553 | − | 4.07570i | 0.177285 | − | 0.467515i | ||||
\(77\) | −10.1941 | −1.16173 | ||||||||
\(78\) | −0.284798 | + | 1.61517i | −0.0322470 | + | 0.182882i | ||||
\(79\) | 4.61178 | + | 3.86975i | 0.518866 | + | 0.435380i | 0.864236 | − | 0.503086i | \(-0.167802\pi\) |
−0.345370 | + | 0.938467i | \(0.612247\pi\) | |||||||
\(80\) | −0.939693 | − | 0.342020i | −0.105061 | − | 0.0382390i | ||||
\(81\) | −0.939693 | + | 0.342020i | −0.104410 | + | 0.0380022i | ||||
\(82\) | 4.43490 | − | 3.72132i | 0.489752 | − | 0.410951i | ||||
\(83\) | −3.78497 | − | 6.55577i | −0.415455 | − | 0.719589i | 0.580021 | − | 0.814601i | \(-0.303044\pi\) |
−0.995476 | + | 0.0950125i | \(0.969711\pi\) | |||||||
\(84\) | 1.48371 | − | 2.56987i | 0.161886 | − | 0.280395i | ||||
\(85\) | −0.0455330 | − | 0.258230i | −0.00493875 | − | 0.0280090i | ||||
\(86\) | −0.104801 | − | 0.594358i | −0.0113010 | − | 0.0640912i | ||||
\(87\) | 2.42341 | − | 4.19746i | 0.259816 | − | 0.450015i | ||||
\(88\) | −1.71767 | − | 2.97509i | −0.183104 | − | 0.317146i | ||||
\(89\) | 6.99321 | − | 5.86800i | 0.741278 | − | 0.622006i | −0.191902 | − | 0.981414i | \(-0.561466\pi\) |
0.933181 | + | 0.359408i | \(0.117021\pi\) | |||||||
\(90\) | −0.939693 | + | 0.342020i | −0.0990523 | + | 0.0360521i | ||||
\(91\) | −4.57333 | − | 1.66456i | −0.479415 | − | 0.174493i | ||||
\(92\) | 0.115819 | + | 0.0971837i | 0.0120750 | + | 0.0101321i | ||||
\(93\) | −0.594874 | + | 3.37370i | −0.0616856 | + | 0.349836i | ||||
\(94\) | 3.35401 | 0.345940 | ||||||||
\(95\) | −1.43586 | − | 4.11562i | −0.147316 | − | 0.422253i | ||||
\(96\) | 1.00000 | 0.102062 | ||||||||
\(97\) | −1.28262 | + | 7.27409i | −0.130230 | + | 0.738572i | 0.847833 | + | 0.530263i | \(0.177907\pi\) |
−0.978063 | + | 0.208309i | \(0.933204\pi\) | |||||||
\(98\) | 1.38318 | + | 1.16063i | 0.139722 | + | 0.117241i | ||||
\(99\) | −3.22816 | − | 1.17495i | −0.324442 | − | 0.118087i | ||||
\(100\) | −0.939693 | + | 0.342020i | −0.0939693 | + | 0.0342020i | ||||
\(101\) | 7.40227 | − | 6.21124i | 0.736554 | − | 0.618042i | −0.195356 | − | 0.980732i | \(-0.562586\pi\) |
0.931910 | + | 0.362691i | \(0.118142\pi\) | |||||||
\(102\) | 0.131107 | + | 0.227084i | 0.0129815 | + | 0.0224847i | ||||
\(103\) | −5.17272 | + | 8.95942i | −0.509684 | + | 0.882798i | 0.490254 | + | 0.871580i | \(0.336904\pi\) |
−0.999937 | + | 0.0112179i | \(0.996429\pi\) | |||||||
\(104\) | −0.284798 | − | 1.61517i | −0.0279267 | − | 0.158380i | ||||
\(105\) | −0.515288 | − | 2.92234i | −0.0502870 | − | 0.285192i | ||||
\(106\) | −5.92708 | + | 10.2660i | −0.575688 | + | 0.997122i | ||||
\(107\) | −3.88303 | − | 6.72560i | −0.375387 | − | 0.650189i | 0.614998 | − | 0.788528i | \(-0.289157\pi\) |
−0.990385 | + | 0.138340i | \(0.955823\pi\) | |||||||
\(108\) | 0.766044 | − | 0.642788i | 0.0737127 | − | 0.0618523i | ||||
\(109\) | 6.37643 | − | 2.32083i | 0.610752 | − | 0.222295i | −0.0180805 | − | 0.999837i | \(-0.505756\pi\) |
0.628832 | + | 0.777541i | \(0.283533\pi\) | |||||||
\(110\) | −3.22816 | − | 1.17495i | −0.307793 | − | 0.112028i | ||||
\(111\) | 9.22768 | + | 7.74294i | 0.875852 | + | 0.734927i | ||||
\(112\) | −0.515288 | + | 2.92234i | −0.0486901 | + | 0.276136i | ||||
\(113\) | −6.17814 | −0.581190 | −0.290595 | − | 0.956846i | \(-0.593853\pi\) | ||||
−0.290595 | + | 0.956846i | \(0.593853\pi\) | |||||||
\(114\) | 2.75689 | + | 3.37632i | 0.258207 | + | 0.316221i | ||||
\(115\) | 0.151191 | 0.0140986 | ||||||||
\(116\) | −0.841640 | + | 4.77318i | −0.0781443 | + | 0.443178i | ||||
\(117\) | −1.25638 | − | 1.05423i | −0.116152 | − | 0.0974634i | ||||
\(118\) | −2.56360 | − | 0.933074i | −0.235999 | − | 0.0858965i | ||||
\(119\) | −0.731176 | + | 0.266126i | −0.0670268 | + | 0.0243957i | ||||
\(120\) | 0.766044 | − | 0.642788i | 0.0699300 | − | 0.0586782i | ||||
\(121\) | −0.400770 | − | 0.694154i | −0.0364336 | − | 0.0631049i | ||||
\(122\) | −1.28532 | + | 2.22625i | −0.116368 | + | 0.201555i | ||||
\(123\) | 1.00531 | + | 5.70139i | 0.0906457 | + | 0.514077i | ||||
\(124\) | −0.594874 | − | 3.37370i | −0.0534213 | − | 0.302967i | ||||
\(125\) | −0.500000 | + | 0.866025i | −0.0447214 | + | 0.0774597i | ||||
\(126\) | 1.48371 | + | 2.56987i | 0.132180 | + | 0.228942i | ||||
\(127\) | 9.85708 | − | 8.27107i | 0.874674 | − | 0.733939i | −0.0904029 | − | 0.995905i | \(-0.528815\pi\) |
0.965077 | + | 0.261967i | \(0.0843710\pi\) | |||||||
\(128\) | −0.939693 | + | 0.342020i | −0.0830579 | + | 0.0302306i | ||||
\(129\) | 0.567130 | + | 0.206418i | 0.0499330 | + | 0.0181741i | ||||
\(130\) | −1.25638 | − | 1.05423i | −0.110192 | − | 0.0924619i | ||||
\(131\) | 2.45412 | − | 13.9180i | 0.214418 | − | 1.21602i | −0.667496 | − | 0.744613i | \(-0.732634\pi\) |
0.881914 | − | 0.471411i | \(-0.156255\pi\) | |||||||
\(132\) | 3.43534 | 0.299008 | ||||||||
\(133\) | −11.2874 | + | 6.31681i | −0.978739 | + | 0.547737i | ||||
\(134\) | 0.511731 | 0.0442068 | ||||||||
\(135\) | 0.173648 | − | 0.984808i | 0.0149453 | − | 0.0847588i | ||||
\(136\) | −0.200868 | − | 0.168548i | −0.0172243 | − | 0.0144529i | ||||
\(137\) | −10.8478 | − | 3.94827i | −0.926788 | − | 0.337323i | −0.165853 | − | 0.986151i | \(-0.553038\pi\) |
−0.760936 | + | 0.648827i | \(0.775260\pi\) | |||||||
\(138\) | −0.142073 | + | 0.0517103i | −0.0120941 | + | 0.00440188i | ||||
\(139\) | −4.89713 | + | 4.10918i | −0.415369 | + | 0.348536i | −0.826398 | − | 0.563086i | \(-0.809614\pi\) |
0.411029 | + | 0.911622i | \(0.365169\pi\) | |||||||
\(140\) | 1.48371 | + | 2.56987i | 0.125397 | + | 0.217193i | ||||
\(141\) | −1.67700 | + | 2.90466i | −0.141229 | + | 0.244616i | ||||
\(142\) | −0.802455 | − | 4.55095i | −0.0673406 | − | 0.381907i | ||||
\(143\) | −0.978377 | − | 5.54865i | −0.0818160 | − | 0.464002i | ||||
\(144\) | −0.500000 | + | 0.866025i | −0.0416667 | + | 0.0721688i | ||||
\(145\) | 2.42341 | + | 4.19746i | 0.201253 | + | 0.348580i | ||||
\(146\) | −4.88951 | + | 4.10279i | −0.404659 | + | 0.339549i | ||||
\(147\) | −1.69672 | + | 0.617557i | −0.139943 | + | 0.0509352i | ||||
\(148\) | −11.3194 | − | 4.11993i | −0.930451 | − | 0.338656i | ||||
\(149\) | −0.923697 | − | 0.775074i | −0.0756722 | − | 0.0634965i | 0.604167 | − | 0.796858i | \(-0.293506\pi\) |
−0.679839 | + | 0.733361i | \(0.737950\pi\) | |||||||
\(150\) | 0.173648 | − | 0.984808i | 0.0141783 | − | 0.0804092i | ||||
\(151\) | 24.1672 | 1.96670 | 0.983351 | − | 0.181716i | \(-0.0581651\pi\) | ||||
0.983351 | + | 0.181716i | \(0.0581651\pi\) | |||||||
\(152\) | −3.74540 | − | 2.22979i | −0.303792 | − | 0.180860i | ||||
\(153\) | −0.262214 | −0.0211988 | ||||||||
\(154\) | −1.77019 | + | 10.0392i | −0.142646 | + | 0.808985i | ||||
\(155\) | −2.62427 | − | 2.20203i | −0.210787 | − | 0.176871i | ||||
\(156\) | 1.54118 | + | 0.560943i | 0.123393 | + | 0.0449114i | ||||
\(157\) | −19.4420 | + | 7.07630i | −1.55164 | + | 0.564751i | −0.968802 | − | 0.247838i | \(-0.920280\pi\) |
−0.582838 | + | 0.812588i | \(0.698058\pi\) | |||||||
\(158\) | 4.61178 | − | 3.86975i | 0.366894 | − | 0.307860i | ||||
\(159\) | −5.92708 | − | 10.2660i | −0.470048 | − | 0.814146i | ||||
\(160\) | −0.500000 | + | 0.866025i | −0.0395285 | + | 0.0684653i | ||||
\(161\) | −0.0779069 | − | 0.441832i | −0.00613992 | − | 0.0348212i | ||||
\(162\) | 0.173648 | + | 0.984808i | 0.0136431 | + | 0.0773738i | ||||
\(163\) | 4.65944 | − | 8.07039i | 0.364956 | − | 0.632122i | −0.623813 | − | 0.781573i | \(-0.714418\pi\) |
0.988769 | + | 0.149452i | \(0.0477508\pi\) | |||||||
\(164\) | −2.89467 | − | 5.01372i | −0.226036 | − | 0.391506i | ||||
\(165\) | 2.63162 | − | 2.20819i | 0.204871 | − | 0.171908i | ||||
\(166\) | −7.11342 | + | 2.58907i | −0.552109 | + | 0.200951i | ||||
\(167\) | −2.06049 | − | 0.749955i | −0.159445 | − | 0.0580333i | 0.261064 | − | 0.965321i | \(-0.415926\pi\) |
−0.420510 | + | 0.907288i | \(0.638149\pi\) | |||||||
\(168\) | −2.27318 | − | 1.90742i | −0.175380 | − | 0.147161i | ||||
\(169\) | −1.79033 | + | 10.1535i | −0.137718 | + | 0.781037i | ||||
\(170\) | −0.262214 | −0.0201109 | ||||||||
\(171\) | −4.30243 | + | 0.699379i | −0.329015 | + | 0.0534828i | ||||
\(172\) | −0.603527 | −0.0460185 | ||||||||
\(173\) | −1.95424 | + | 11.0830i | −0.148578 | + | 0.842629i | 0.815846 | + | 0.578269i | \(0.196272\pi\) |
−0.964424 | + | 0.264359i | \(0.914839\pi\) | |||||||
\(174\) | −3.71287 | − | 3.11547i | −0.281472 | − | 0.236183i | ||||
\(175\) | 2.78847 | + | 1.01492i | 0.210788 | + | 0.0767207i | ||||
\(176\) | −3.22816 | + | 1.17495i | −0.243332 | + | 0.0885655i | ||||
\(177\) | 2.08987 | − | 1.75361i | 0.157084 | − | 0.131809i | ||||
\(178\) | −4.56449 | − | 7.90593i | −0.342123 | − | 0.592575i | ||||
\(179\) | −6.11059 | + | 10.5839i | −0.456727 | + | 0.791074i | −0.998786 | − | 0.0492664i | \(-0.984312\pi\) |
0.542059 | + | 0.840341i | \(0.317645\pi\) | |||||||
\(180\) | 0.173648 | + | 0.984808i | 0.0129430 | + | 0.0734032i | ||||
\(181\) | −4.06250 | − | 23.0396i | −0.301963 | − | 1.71252i | −0.637465 | − | 0.770479i | \(-0.720017\pi\) |
0.335502 | − | 0.942040i | \(-0.391094\pi\) | |||||||
\(182\) | −2.43342 | + | 4.21480i | −0.180377 | + | 0.312422i | ||||
\(183\) | −1.28532 | − | 2.22625i | −0.0950138 | − | 0.164569i | ||||
\(184\) | 0.115819 | − | 0.0971837i | 0.00853829 | − | 0.00716447i | ||||
\(185\) | −11.3194 | + | 4.11993i | −0.832220 | + | 0.302903i | ||||
\(186\) | 3.21915 | + | 1.17167i | 0.236039 | + | 0.0859113i | ||||
\(187\) | −0.690048 | − | 0.579019i | −0.0504613 | − | 0.0423421i | ||||
\(188\) | 0.582418 | − | 3.30305i | 0.0424772 | − | 0.240900i | ||||
\(189\) | −2.96743 | −0.215848 | ||||||||
\(190\) | −4.30243 | + | 0.699379i | −0.312131 | + | 0.0507383i | ||||
\(191\) | 21.6181 | 1.56423 | 0.782115 | − | 0.623134i | \(-0.214141\pi\) | ||||
0.782115 | + | 0.623134i | \(0.214141\pi\) | |||||||
\(192\) | 0.173648 | − | 0.984808i | 0.0125320 | − | 0.0710724i | ||||
\(193\) | −18.7544 | − | 15.7368i | −1.34997 | − | 1.13276i | −0.978942 | − | 0.204138i | \(-0.934561\pi\) |
−0.371028 | − | 0.928622i | \(-0.620995\pi\) | |||||||
\(194\) | 6.94086 | + | 2.52627i | 0.498325 | + | 0.181375i | ||||
\(195\) | 1.54118 | − | 0.560943i | 0.110366 | − | 0.0401699i | ||||
\(196\) | 1.38318 | − | 1.16063i | 0.0987987 | − | 0.0829020i | ||||
\(197\) | 12.4715 | + | 21.6012i | 0.888556 | + | 1.53902i | 0.841583 | + | 0.540128i | \(0.181624\pi\) |
0.0469726 | + | 0.998896i | \(0.485043\pi\) | |||||||
\(198\) | −1.71767 | + | 2.97509i | −0.122069 | + | 0.211430i | ||||
\(199\) | 1.37086 | + | 7.77454i | 0.0971778 | + | 0.551123i | 0.994058 | + | 0.108850i | \(0.0347167\pi\) |
−0.896880 | + | 0.442273i | \(0.854172\pi\) | |||||||
\(200\) | 0.173648 | + | 0.984808i | 0.0122788 | + | 0.0696364i | ||||
\(201\) | −0.255866 | + | 0.443172i | −0.0180474 | + | 0.0312590i | ||||
\(202\) | −4.83149 | − | 8.36839i | −0.339942 | − | 0.588798i | ||||
\(203\) | 11.0177 | − | 9.24493i | 0.773289 | − | 0.648867i | ||||
\(204\) | 0.246401 | − | 0.0896825i | 0.0172515 | − | 0.00627903i | ||||
\(205\) | −5.44021 | − | 1.98007i | −0.379960 | − | 0.138294i | ||||
\(206\) | 7.92507 | + | 6.64992i | 0.552166 | + | 0.463322i | ||||
\(207\) | 0.0262540 | − | 0.148894i | 0.00182478 | − | 0.0103488i | ||||
\(208\) | −1.64009 | −0.113720 | ||||||||
\(209\) | −12.8667 | − | 7.66008i | −0.890009 | − | 0.529859i | ||||
\(210\) | −2.96743 | −0.204772 | ||||||||
\(211\) | −2.37683 | + | 13.4797i | −0.163628 | + | 0.927980i | 0.786840 | + | 0.617157i | \(0.211716\pi\) |
−0.950468 | + | 0.310823i | \(0.899395\pi\) | |||||||
\(212\) | 9.08081 | + | 7.61970i | 0.623672 | + | 0.523323i | ||||
\(213\) | 4.34247 | + | 1.58053i | 0.297541 | + | 0.108296i | ||||
\(214\) | −7.29771 | + | 2.65615i | −0.498861 | + | 0.181571i | ||||
\(215\) | −0.462328 | + | 0.387939i | −0.0315305 | + | 0.0264573i | ||||
\(216\) | −0.500000 | − | 0.866025i | −0.0340207 | − | 0.0589256i | ||||
\(217\) | −5.08282 | + | 8.80371i | −0.345044 | + | 0.597635i | ||||
\(218\) | −1.17832 | − | 6.68257i | −0.0798057 | − | 0.452601i | ||||
\(219\) | −1.10836 | − | 6.28584i | −0.0748962 | − | 0.424757i | ||||
\(220\) | −1.71767 | + | 2.97509i | −0.115805 | + | 0.200580i | ||||
\(221\) | −0.215027 | − | 0.372438i | −0.0144643 | − | 0.0250529i | ||||
\(222\) | 9.22768 | − | 7.74294i | 0.619321 | − | 0.519672i | ||||
\(223\) | 24.7865 | − | 9.02155i | 1.65983 | − | 0.604128i | 0.669492 | − | 0.742819i | \(-0.266512\pi\) |
0.990336 | + | 0.138692i | \(0.0442897\pi\) | |||||||
\(224\) | 2.78847 | + | 1.01492i | 0.186312 | + | 0.0678122i | ||||
\(225\) | 0.766044 | + | 0.642788i | 0.0510696 | + | 0.0428525i | ||||
\(226\) | −1.07282 | + | 6.08428i | −0.0713631 | + | 0.404720i | ||||
\(227\) | 0.229904 | 0.0152592 | 0.00762962 | − | 0.999971i | \(-0.497571\pi\) | ||||
0.00762962 | + | 0.999971i | \(0.497571\pi\) | |||||||
\(228\) | 3.80376 | − | 2.12872i | 0.251910 | − | 0.140978i | ||||
\(229\) | −5.67396 | −0.374946 | −0.187473 | − | 0.982270i | \(-0.560030\pi\) | ||||
−0.187473 | + | 0.982270i | \(0.560030\pi\) | |||||||
\(230\) | 0.0262540 | − | 0.148894i | 0.00173114 | − | 0.00981778i | ||||
\(231\) | −7.80914 | − | 6.55265i | −0.513804 | − | 0.431132i | ||||
\(232\) | 4.55451 | + | 1.65771i | 0.299018 | + | 0.108834i | ||||
\(233\) | 14.6842 | − | 5.34460i | 0.961991 | − | 0.350136i | 0.187178 | − | 0.982326i | \(-0.440066\pi\) |
0.774813 | + | 0.632190i | \(0.217844\pi\) | |||||||
\(234\) | −1.25638 | + | 1.05423i | −0.0821321 | + | 0.0689170i | ||||
\(235\) | −1.67700 | − | 2.90466i | −0.109396 | − | 0.189479i | ||||
\(236\) | −1.36406 | + | 2.36263i | −0.0887930 | + | 0.153794i | ||||
\(237\) | 1.04541 | + | 5.92879i | 0.0679064 | + | 0.385117i | ||||
\(238\) | 0.135116 | + | 0.766280i | 0.00875826 | + | 0.0496705i | ||||
\(239\) | −1.50448 | + | 2.60583i | −0.0973167 | + | 0.168557i | −0.910573 | − | 0.413348i | \(-0.864359\pi\) |
0.813256 | + | 0.581905i | \(0.197693\pi\) | |||||||
\(240\) | −0.500000 | − | 0.866025i | −0.0322749 | − | 0.0559017i | ||||
\(241\) | 11.3550 | − | 9.52797i | 0.731439 | − | 0.613750i | −0.199084 | − | 0.979982i | \(-0.563797\pi\) |
0.930524 | + | 0.366232i | \(0.119352\pi\) | |||||||
\(242\) | −0.753201 | + | 0.274143i | −0.0484176 | + | 0.0176226i | ||||
\(243\) | −0.939693 | − | 0.342020i | −0.0602813 | − | 0.0219406i | ||||
\(244\) | 1.96923 | + | 1.65238i | 0.126067 | + | 0.105783i | ||||
\(245\) | 0.313542 | − | 1.77818i | 0.0200315 | − | 0.113604i | ||||
\(246\) | 5.78935 | 0.369115 | ||||||||
\(247\) | −4.52154 | − | 5.53746i | −0.287699 | − | 0.352340i | ||||
\(248\) | −3.42575 | −0.217535 | ||||||||
\(249\) | 1.31451 | − | 7.45494i | 0.0833035 | − | 0.472438i | ||||
\(250\) | 0.766044 | + | 0.642788i | 0.0484489 | + | 0.0406535i | ||||
\(251\) | 26.9396 | + | 9.80520i | 1.70041 | + | 0.618899i | 0.995872 | − | 0.0907681i | \(-0.0289322\pi\) |
0.704538 | + | 0.709667i | \(0.251154\pi\) | |||||||
\(252\) | 2.78847 | − | 1.01492i | 0.175657 | − | 0.0639339i | ||||
\(253\) | 0.397877 | − | 0.333859i | 0.0250143 | − | 0.0209895i | ||||
\(254\) | −6.43375 | − | 11.1436i | −0.403689 | − | 0.699210i | ||||
\(255\) | 0.131107 | − | 0.227084i | 0.00821024 | − | 0.0142206i | ||||
\(256\) | 0.173648 | + | 0.984808i | 0.0108530 | + | 0.0615505i | ||||
\(257\) | 1.69638 | + | 9.62066i | 0.105817 | + | 0.600120i | 0.990891 | + | 0.134669i | \(0.0429970\pi\) |
−0.885073 | + | 0.465452i | \(0.845892\pi\) | |||||||
\(258\) | 0.301763 | − | 0.522669i | 0.0187870 | − | 0.0325400i | ||||
\(259\) | 17.8726 | + | 30.9563i | 1.11055 | + | 1.92353i | ||||
\(260\) | −1.25638 | + | 1.05423i | −0.0779173 | + | 0.0653804i | ||||
\(261\) | 4.55451 | − | 1.65771i | 0.281917 | − | 0.102609i | ||||
\(262\) | −13.2804 | − | 4.83368i | −0.820468 | − | 0.298626i | ||||
\(263\) | −4.42346 | − | 3.71172i | −0.272762 | − | 0.228875i | 0.496138 | − | 0.868244i | \(-0.334751\pi\) |
−0.768900 | + | 0.639369i | \(0.779196\pi\) | |||||||
\(264\) | 0.596540 | − | 3.38315i | 0.0367145 | − | 0.208218i | ||||
\(265\) | 11.8542 | 0.728195 | ||||||||
\(266\) | 4.26081 | + | 12.2128i | 0.261247 | + | 0.748814i | ||||
\(267\) | 9.12898 | 0.558685 | ||||||||
\(268\) | 0.0888612 | − | 0.503957i | 0.00542806 | − | 0.0307841i | ||||
\(269\) | 21.7515 | + | 18.2517i | 1.32621 | + | 1.11282i | 0.984947 | + | 0.172857i | \(0.0552999\pi\) |
0.341265 | + | 0.939967i | \(0.389145\pi\) | |||||||
\(270\) | −0.939693 | − | 0.342020i | −0.0571879 | − | 0.0208147i | ||||
\(271\) | 13.0857 | − | 4.76279i | 0.794897 | − | 0.289319i | 0.0875268 | − | 0.996162i | \(-0.472104\pi\) |
0.707370 | + | 0.706843i | \(0.249881\pi\) | |||||||
\(272\) | −0.200868 | + | 0.168548i | −0.0121794 | + | 0.0102197i | ||||
\(273\) | −2.43342 | − | 4.21480i | −0.147277 | − | 0.255091i | ||||
\(274\) | −5.77198 | + | 9.99737i | −0.348698 | + | 0.603963i | ||||
\(275\) | 0.596540 | + | 3.38315i | 0.0359727 | + | 0.204011i | ||||
\(276\) | 0.0262540 | + | 0.148894i | 0.00158031 | + | 0.00896237i | ||||
\(277\) | 5.46936 | − | 9.47320i | 0.328622 | − | 0.569190i | −0.653617 | − | 0.756826i | \(-0.726749\pi\) |
0.982239 | + | 0.187636i | \(0.0600825\pi\) | |||||||
\(278\) | 3.19637 | + | 5.53628i | 0.191706 | + | 0.332044i | ||||
\(279\) | −2.62427 | + | 2.20203i | −0.157111 | + | 0.131832i | ||||
\(280\) | 2.78847 | − | 1.01492i | 0.166643 | − | 0.0606530i | ||||
\(281\) | 3.95708 | + | 1.44026i | 0.236060 | + | 0.0859187i | 0.457341 | − | 0.889291i | \(-0.348802\pi\) |
−0.221282 | + | 0.975210i | \(0.571024\pi\) | |||||||
\(282\) | 2.56932 | + | 2.15592i | 0.153001 | + | 0.128383i | ||||
\(283\) | 4.57509 | − | 25.9466i | 0.271961 | − | 1.54237i | −0.476491 | − | 0.879179i | \(-0.658092\pi\) |
0.748452 | − | 0.663189i | \(-0.230797\pi\) | |||||||
\(284\) | −4.62116 | −0.274215 | ||||||||
\(285\) | 1.54553 | − | 4.07570i | 0.0915495 | − | 0.241424i | ||||
\(286\) | −5.63425 | −0.333160 | ||||||||
\(287\) | −2.98318 | + | 16.9185i | −0.176092 | + | 0.998665i | ||||
\(288\) | 0.766044 | + | 0.642788i | 0.0451396 | + | 0.0378766i | ||||
\(289\) | 15.9102 | + | 5.79083i | 0.935892 | + | 0.340637i | ||||
\(290\) | 4.55451 | − | 1.65771i | 0.267450 | − | 0.0973439i | ||||
\(291\) | −5.65824 | + | 4.74783i | −0.331692 | + | 0.278323i | ||||
\(292\) | 3.19140 | + | 5.52767i | 0.186763 | + | 0.323483i | ||||
\(293\) | −16.3882 | + | 28.3852i | −0.957408 | + | 1.65828i | −0.228648 | + | 0.973509i | \(0.573430\pi\) |
−0.728760 | + | 0.684770i | \(0.759903\pi\) | |||||||
\(294\) | 0.313542 | + | 1.77818i | 0.0182861 | + | 0.103706i | ||||
\(295\) | 0.473734 | + | 2.68668i | 0.0275819 | + | 0.156425i | ||||
\(296\) | −6.02294 | + | 10.4320i | −0.350076 | + | 0.606350i | ||||
\(297\) | −1.71767 | − | 2.97509i | −0.0996692 | − | 0.172632i | ||||
\(298\) | −0.923697 | + | 0.775074i | −0.0535083 | + | 0.0448988i | ||||
\(299\) | 0.233012 | − | 0.0848094i | 0.0134754 | − | 0.00490466i | ||||
\(300\) | −0.939693 | − | 0.342020i | −0.0542532 | − | 0.0197465i | ||||
\(301\) | 1.37192 | + | 1.15118i | 0.0790764 | + | 0.0663530i | ||||
\(302\) | 4.19660 | − | 23.8001i | 0.241487 | − | 1.36954i | ||||
\(303\) | 9.66298 | 0.555124 | ||||||||
\(304\) | −2.84630 | + | 3.30130i | −0.163246 | + | 0.189343i | ||||
\(305\) | 2.57065 | 0.147195 | ||||||||
\(306\) | −0.0455330 | + | 0.258230i | −0.00260295 | + | 0.0147621i | ||||
\(307\) | 8.62432 | + | 7.23667i | 0.492216 | + | 0.413018i | 0.854820 | − | 0.518925i | \(-0.173668\pi\) |
−0.362604 | + | 0.931943i | \(0.618112\pi\) | |||||||
\(308\) | 9.57933 | + | 3.48659i | 0.545833 | + | 0.198667i | ||||
\(309\) | −9.72154 | + | 3.53835i | −0.553039 | + | 0.201290i | ||||
\(310\) | −2.62427 | + | 2.20203i | −0.149049 | + | 0.125067i | ||||
\(311\) | 2.97603 | + | 5.15463i | 0.168755 | + | 0.292292i | 0.937982 | − | 0.346683i | \(-0.112692\pi\) |
−0.769227 | + | 0.638975i | \(0.779359\pi\) | |||||||
\(312\) | 0.820043 | − | 1.42036i | 0.0464258 | − | 0.0804119i | ||||
\(313\) | −3.44598 | − | 19.5431i | −0.194778 | − | 1.10464i | −0.912734 | − | 0.408553i | \(-0.866033\pi\) |
0.717956 | − | 0.696088i | \(-0.245078\pi\) | |||||||
\(314\) | 3.59273 | + | 20.3754i | 0.202750 | + | 1.14985i | ||||
\(315\) | 1.48371 | − | 2.56987i | 0.0835978 | − | 0.144796i | ||||
\(316\) | −3.01013 | − | 5.21369i | −0.169333 | − | 0.293293i | ||||
\(317\) | 26.3415 | − | 22.1031i | 1.47948 | − | 1.24143i | 0.572751 | − | 0.819729i | \(-0.305876\pi\) |
0.906733 | − | 0.421705i | \(-0.138568\pi\) | |||||||
\(318\) | −11.1393 | + | 4.05436i | −0.624659 | + | 0.227357i | ||||
\(319\) | 15.6463 | + | 5.69478i | 0.876024 | + | 0.318847i | ||||
\(320\) | 0.766044 | + | 0.642788i | 0.0428232 | + | 0.0359329i | ||||
\(321\) | 1.34856 | − | 7.64807i | 0.0752694 | − | 0.426874i | ||||
\(322\) | −0.448648 | −0.0250022 | ||||||||
\(323\) | −1.12284 | − | 0.213525i | −0.0624766 | − | 0.0118808i | ||||
\(324\) | 1.00000 | 0.0555556 | ||||||||
\(325\) | −0.284798 | + | 1.61517i | −0.0157978 | + | 0.0895935i | ||||
\(326\) | −7.13868 | − | 5.99006i | −0.395375 | − | 0.331759i | ||||
\(327\) | 6.37643 | + | 2.32083i | 0.352618 | + | 0.128342i | ||||
\(328\) | −5.44021 | + | 1.98007i | −0.300385 | + | 0.109331i | ||||
\(329\) | −7.62427 | + | 6.39752i | −0.420340 | + | 0.352707i | ||||
\(330\) | −1.71767 | − | 2.97509i | −0.0945545 | − | 0.163773i | ||||
\(331\) | 7.59512 | − | 13.1551i | 0.417466 | − | 0.723072i | −0.578218 | − | 0.815882i | \(-0.696252\pi\) |
0.995684 | + | 0.0928103i | \(0.0295850\pi\) | |||||||
\(332\) | 1.31451 | + | 7.45494i | 0.0721430 | + | 0.409143i | ||||
\(333\) | 2.09174 | + | 11.8629i | 0.114627 | + | 0.650081i | ||||
\(334\) | −1.09636 | + | 1.89895i | −0.0599902 | + | 0.103906i | ||||
\(335\) | −0.255866 | − | 0.443172i | −0.0139794 | − | 0.0242131i | ||||
\(336\) | −2.27318 | + | 1.90742i | −0.124012 | + | 0.104059i | ||||
\(337\) | −13.6267 | + | 4.95972i | −0.742295 | + | 0.270173i | −0.685360 | − | 0.728205i | \(-0.740355\pi\) |
−0.0569349 | + | 0.998378i | \(0.518133\pi\) | |||||||
\(338\) | 9.68834 | + | 3.52627i | 0.526976 | + | 0.191804i | ||||
\(339\) | −4.73273 | − | 3.97123i | −0.257046 | − | 0.215688i | ||||
\(340\) | −0.0455330 | + | 0.258230i | −0.00246937 | + | 0.0140045i | ||||
\(341\) | −11.7686 | −0.637305 | ||||||||
\(342\) | −0.0583546 | + | 4.35851i | −0.00315545 | + | 0.235681i | ||||
\(343\) | 15.4139 | 0.832275 | ||||||||
\(344\) | −0.104801 | + | 0.594358i | −0.00565051 | + | 0.0320456i | ||||
\(345\) | 0.115819 | + | 0.0971837i | 0.00623548 | + | 0.00523219i | ||||
\(346\) | 10.5753 | + | 3.84910i | 0.568533 | + | 0.206929i | ||||
\(347\) | −13.1873 | + | 4.79979i | −0.707932 | + | 0.257666i | −0.670794 | − | 0.741644i | \(-0.734046\pi\) |
−0.0371380 | + | 0.999310i | \(0.511824\pi\) | |||||||
\(348\) | −3.71287 | + | 3.11547i | −0.199031 | + | 0.167007i | ||||
\(349\) | −6.18174 | − | 10.7071i | −0.330901 | − | 0.573138i | 0.651788 | − | 0.758402i | \(-0.274019\pi\) |
−0.982689 | + | 0.185264i | \(0.940686\pi\) | |||||||
\(350\) | 1.48371 | − | 2.56987i | 0.0793078 | − | 0.137365i | ||||
\(351\) | −0.284798 | − | 1.61517i | −0.0152014 | − | 0.0862114i | ||||
\(352\) | 0.596540 | + | 3.38315i | 0.0317957 | + | 0.180322i | ||||
\(353\) | −17.6282 | + | 30.5330i | −0.938255 | + | 1.62511i | −0.169532 | + | 0.985525i | \(0.554226\pi\) |
−0.768723 | + | 0.639582i | \(0.779108\pi\) | |||||||
\(354\) | −1.36406 | − | 2.36263i | −0.0724992 | − | 0.125572i | ||||
\(355\) | −3.54001 | + | 2.97042i | −0.187884 | + | 0.157654i | ||||
\(356\) | −8.57844 | + | 3.12230i | −0.454656 | + | 0.165481i | ||||
\(357\) | −0.731176 | − | 0.266126i | −0.0386979 | − | 0.0140849i | ||||
\(358\) | 9.36197 | + | 7.85562i | 0.494795 | + | 0.415183i | ||||
\(359\) | 4.09602 | − | 23.2297i | 0.216180 | − | 1.22602i | −0.662668 | − | 0.748913i | \(-0.730576\pi\) |
0.878848 | − | 0.477102i | \(-0.158313\pi\) | |||||||
\(360\) | 1.00000 | 0.0527046 | ||||||||
\(361\) | −18.9932 | − | 0.508678i | −0.999642 | − | 0.0267725i | ||||
\(362\) | −23.3950 | −1.22961 | ||||||||
\(363\) | 0.139186 | − | 0.789363i | 0.00730537 | − | 0.0414308i | ||||
\(364\) | 3.72821 | + | 3.12834i | 0.195411 | + | 0.163970i | ||||
\(365\) | 5.99788 | + | 2.18305i | 0.313943 | + | 0.114266i | ||||
\(366\) | −2.41562 | + | 0.879213i | −0.126266 | + | 0.0459572i | ||||
\(367\) | 22.7420 | − | 19.0828i | 1.18712 | − | 0.996113i | 0.187216 | − | 0.982319i | \(-0.440053\pi\) |
0.999905 | − | 0.0137944i | \(-0.00439102\pi\) | |||||||
\(368\) | −0.0755955 | − | 0.130935i | −0.00394069 | − | 0.00682547i | ||||
\(369\) | −2.89467 | + | 5.01372i | −0.150691 | + | 0.261004i | ||||
\(370\) | 2.09174 | + | 11.8629i | 0.108745 | + | 0.616721i | ||||
\(371\) | −6.10830 | − | 34.6419i | −0.317127 | − | 1.79852i | ||||
\(372\) | 1.71287 | − | 2.96678i | 0.0888083 | − | 0.153821i | ||||
\(373\) | −7.21161 | − | 12.4909i | −0.373403 | − | 0.646753i | 0.616684 | − | 0.787211i | \(-0.288476\pi\) |
−0.990087 | + | 0.140458i | \(0.955142\pi\) | |||||||
\(374\) | −0.690048 | + | 0.579019i | −0.0356815 | + | 0.0299404i | ||||
\(375\) | −0.939693 | + | 0.342020i | −0.0485255 | + | 0.0176618i | ||||
\(376\) | −3.15174 | − | 1.14714i | −0.162538 | − | 0.0591592i | ||||
\(377\) | 6.08943 | + | 5.10964i | 0.313622 | + | 0.263160i | ||||
\(378\) | −0.515288 | + | 2.92234i | −0.0265036 | + | 0.150309i | ||||
\(379\) | −12.8755 | −0.661368 | −0.330684 | − | 0.943742i | \(-0.607279\pi\) | ||||
−0.330684 | + | 0.943742i | \(0.607279\pi\) | |||||||
\(380\) | −0.0583546 | + | 4.35851i | −0.00299353 | + | 0.223587i | ||||
\(381\) | 12.8675 | 0.659222 | ||||||||
\(382\) | 3.75394 | − | 21.2897i | 0.192068 | − | 1.08927i | ||||
\(383\) | 12.8350 | + | 10.7698i | 0.655836 | + | 0.550312i | 0.908836 | − | 0.417154i | \(-0.136973\pi\) |
−0.252999 | + | 0.967466i | \(0.581417\pi\) | |||||||
\(384\) | −0.939693 | − | 0.342020i | −0.0479535 | − | 0.0174536i | ||||
\(385\) | 9.57933 | − | 3.48659i | 0.488208 | − | 0.177693i | ||||
\(386\) | −18.7544 | + | 15.7368i | −0.954573 | + | 0.800982i | ||||
\(387\) | 0.301763 | + | 0.522669i | 0.0153395 | + | 0.0265688i | ||||
\(388\) | 3.69315 | − | 6.39673i | 0.187491 | − | 0.324745i | ||||
\(389\) | −4.56767 | − | 25.9045i | −0.231590 | − | 1.31341i | −0.849678 | − | 0.527302i | \(-0.823204\pi\) |
0.618088 | − | 0.786109i | \(-0.287908\pi\) | |||||||
\(390\) | −0.284798 | − | 1.61517i | −0.0144213 | − | 0.0817873i | ||||
\(391\) | 0.0198222 | − | 0.0343331i | 0.00100245 | − | 0.00173630i | ||||
\(392\) | −0.902808 | − | 1.56371i | −0.0455987 | − | 0.0789792i | ||||
\(393\) | 10.8263 | − | 9.08435i | 0.546115 | − | 0.458245i | ||||
\(394\) | 23.4387 | − | 8.53099i | 1.18082 | − | 0.429785i | ||||
\(395\) | −5.65719 | − | 2.05905i | −0.284644 | − | 0.103602i | ||||
\(396\) | 2.63162 | + | 2.20819i | 0.132244 | + | 0.110966i | ||||
\(397\) | −1.79926 | + | 10.2041i | −0.0903024 | + | 0.512130i | 0.905784 | + | 0.423741i | \(0.139283\pi\) |
−0.996086 | + | 0.0883897i | \(0.971828\pi\) | |||||||
\(398\) | 7.89448 | 0.395714 | ||||||||
\(399\) | −12.7070 | − | 2.41642i | −0.636145 | − | 0.120972i | ||||
\(400\) | 1.00000 | 0.0500000 | ||||||||
\(401\) | −1.64851 | + | 9.34918i | −0.0823228 | + | 0.466876i | 0.915579 | + | 0.402137i | \(0.131733\pi\) |
−0.997902 | + | 0.0647387i | \(0.979379\pi\) | |||||||
\(402\) | 0.392009 | + | 0.328934i | 0.0195516 | + | 0.0164058i | ||||
\(403\) | −5.27968 | − | 1.92165i | −0.263000 | − | 0.0957240i | ||||
\(404\) | −9.08023 | + | 3.30493i | −0.451758 | + | 0.164427i | ||||
\(405\) | 0.766044 | − | 0.642788i | 0.0380651 | − | 0.0319404i | ||||
\(406\) | −7.19128 | − | 12.4557i | −0.356897 | − | 0.618164i | ||||
\(407\) | −20.6908 | + | 35.8376i | −1.02561 | + | 1.77640i | ||||
\(408\) | −0.0455330 | − | 0.258230i | −0.00225422 | − | 0.0127843i | ||||
\(409\) | 2.59587 | + | 14.7219i | 0.128358 | + | 0.727953i | 0.979257 | + | 0.202623i | \(0.0649468\pi\) |
−0.850899 | + | 0.525329i | \(0.823942\pi\) | |||||||
\(410\) | −2.89467 | + | 5.01372i | −0.142958 | + | 0.247610i | ||||
\(411\) | −5.77198 | − | 9.99737i | −0.284711 | − | 0.493134i | ||||
\(412\) | 7.92507 | − | 6.64992i | 0.390440 | − | 0.327618i | ||||
\(413\) | 7.60730 | − | 2.76883i | 0.374331 | − | 0.136245i | ||||
\(414\) | −0.142073 | − | 0.0517103i | −0.00698251 | − | 0.00254142i | ||||
\(415\) | 5.79892 | + | 4.86587i | 0.284658 | + | 0.238856i | ||||
\(416\) | −0.284798 | + | 1.61517i | −0.0139634 | + | 0.0791902i | ||||
\(417\) | −6.39275 | −0.313054 | ||||||||
\(418\) | −9.77799 | + | 11.3411i | −0.478257 | + | 0.554710i | ||||
\(419\) | −6.17464 | −0.301651 | −0.150825 | − | 0.988560i | \(-0.548193\pi\) | ||||
−0.150825 | + | 0.988560i | \(0.548193\pi\) | |||||||
\(420\) | −0.515288 | + | 2.92234i | −0.0251435 | + | 0.142596i | ||||
\(421\) | −0.883431 | − | 0.741286i | −0.0430558 | − | 0.0361281i | 0.621006 | − | 0.783806i | \(-0.286724\pi\) |
−0.664062 | + | 0.747678i | \(0.731169\pi\) | |||||||
\(422\) | 12.8622 | + | 4.68145i | 0.626121 | + | 0.227889i | ||||
\(423\) | −3.15174 | + | 1.14714i | −0.153243 | + | 0.0557758i | ||||
\(424\) | 9.08081 | − | 7.61970i | 0.441003 | − | 0.370045i | ||||
\(425\) | 0.131107 | + | 0.227084i | 0.00635963 | + | 0.0110152i | ||||
\(426\) | 2.31058 | − | 4.00204i | 0.111948 | − | 0.193899i | ||||
\(427\) | −1.32462 | − | 7.51231i | −0.0641030 | − | 0.363546i | ||||
\(428\) | 1.34856 | + | 7.64807i | 0.0651852 | + | 0.369684i | ||||
\(429\) | 2.81713 | − | 4.87940i | 0.136012 | − | 0.235580i | ||||
\(430\) | 0.301763 | + | 0.522669i | 0.0145523 | + | 0.0252054i | ||||
\(431\) | −17.9289 | + | 15.0441i | −0.863605 | + | 0.724651i | −0.962742 | − | 0.270423i | \(-0.912836\pi\) |
0.0991363 | + | 0.995074i | \(0.468392\pi\) | |||||||
\(432\) | −0.939693 | + | 0.342020i | −0.0452110 | + | 0.0164555i | ||||
\(433\) | 12.2683 | + | 4.46528i | 0.589575 | + | 0.214588i | 0.619542 | − | 0.784963i | \(-0.287318\pi\) |
−0.0299676 | + | 0.999551i | \(0.509540\pi\) | |||||||
\(434\) | 7.78734 | + | 6.53435i | 0.373804 | + | 0.313659i | ||||
\(435\) | −0.841640 | + | 4.77318i | −0.0403535 | + | 0.228856i | ||||
\(436\) | −6.78566 | −0.324974 | ||||||||
\(437\) | 0.233671 | − | 0.616209i | 0.0111780 | − | 0.0294773i | ||||
\(438\) | −6.38281 | −0.304982 | ||||||||
\(439\) | −3.87376 | + | 21.9692i | −0.184885 | + | 1.04853i | 0.741219 | + | 0.671263i | \(0.234248\pi\) |
−0.926103 | + | 0.377270i | \(0.876863\pi\) | |||||||
\(440\) | 2.63162 | + | 2.20819i | 0.125458 | + | 0.105271i | ||||
\(441\) | −1.69672 | − | 0.617557i | −0.0807964 | − | 0.0294075i | ||||
\(442\) | −0.404118 | + | 0.147087i | −0.0192220 | + | 0.00699622i | ||||
\(443\) | −23.1711 | + | 19.4428i | −1.10089 | + | 0.923756i | −0.997485 | − | 0.0708829i | \(-0.977418\pi\) |
−0.103405 | + | 0.994639i | \(0.532974\pi\) | |||||||
\(444\) | −6.02294 | − | 10.4320i | −0.285836 | − | 0.495082i | ||||
\(445\) | −4.56449 | + | 7.90593i | −0.216378 | + | 0.374777i | ||||
\(446\) | −4.58036 | − | 25.9765i | −0.216886 | − | 1.23002i | ||||
\(447\) | −0.209385 | − | 1.18748i | −0.00990357 | − | 0.0561660i | ||||
\(448\) | 1.48371 | − | 2.56987i | 0.0700988 | − | 0.121415i | ||||
\(449\) | −15.5761 | − | 26.9787i | −0.735083 | − | 1.27320i | −0.954687 | − | 0.297612i | \(-0.903810\pi\) |
0.219604 | − | 0.975589i | \(-0.429524\pi\) | |||||||
\(450\) | 0.766044 | − | 0.642788i | 0.0361117 | − | 0.0303013i | ||||
\(451\) | −18.6889 | + | 6.80222i | −0.880028 | + | 0.320304i | ||||
\(452\) | 5.80555 | + | 2.11305i | 0.273070 | + | 0.0993894i | ||||
\(453\) | 18.5132 | + | 15.5344i | 0.869825 | + | 0.729870i | ||||
\(454\) | 0.0399224 | − | 0.226411i | 0.00187365 | − | 0.0106260i | ||||
\(455\) | 4.86684 | 0.228161 | ||||||||
\(456\) | −1.43586 | − | 4.11562i | −0.0672404 | − | 0.192731i | ||||
\(457\) | −29.9630 | −1.40161 | −0.700806 | − | 0.713352i | \(-0.747176\pi\) | ||||
−0.700806 | + | 0.713352i | \(0.747176\pi\) | |||||||
\(458\) | −0.985273 | + | 5.58776i | −0.0460388 | + | 0.261099i | ||||
\(459\) | −0.200868 | − | 0.168548i | −0.00937570 | − | 0.00786715i | ||||
\(460\) | −0.142073 | − | 0.0517103i | −0.00662419 | − | 0.00241101i | ||||
\(461\) | −0.909077 | + | 0.330877i | −0.0423399 | + | 0.0154105i | −0.363103 | − | 0.931749i | \(-0.618283\pi\) |
0.320763 | + | 0.947159i | \(0.396061\pi\) | |||||||
\(462\) | −7.80914 | + | 6.55265i | −0.363314 | + | 0.304857i | ||||
\(463\) | −5.49734 | − | 9.52166i | −0.255483 | − | 0.442509i | 0.709544 | − | 0.704661i | \(-0.248901\pi\) |
−0.965027 | + | 0.262152i | \(0.915568\pi\) | |||||||
\(464\) | 2.42341 | − | 4.19746i | 0.112504 | − | 0.194862i | ||||
\(465\) | −0.594874 | − | 3.37370i | −0.0275866 | − | 0.156452i | ||||
\(466\) | −2.71352 | − | 15.3892i | −0.125702 | − | 0.712889i | ||||
\(467\) | −2.18849 | + | 3.79057i | −0.101271 | + | 0.175407i | −0.912209 | − | 0.409726i | \(-0.865624\pi\) |
0.810937 | + | 0.585133i | \(0.198958\pi\) | |||||||
\(468\) | 0.820043 | + | 1.42036i | 0.0379065 | + | 0.0656560i | ||||
\(469\) | −1.16326 | + | 0.976088i | −0.0537142 | + | 0.0450716i | ||||
\(470\) | −3.15174 | + | 1.14714i | −0.145379 | + | 0.0529136i | ||||
\(471\) | −19.4420 | − | 7.07630i | −0.895839 | − | 0.326059i | ||||
\(472\) | 2.08987 | + | 1.75361i | 0.0961939 | + | 0.0807163i | ||||
\(473\) | −0.360028 | + | 2.04182i | −0.0165541 | + | 0.0938829i | ||||
\(474\) | 6.02025 | 0.276519 | ||||||||
\(475\) | 2.75689 | + | 3.37632i | 0.126495 | + | 0.154916i | ||||
\(476\) | 0.778101 | 0.0356642 | ||||||||
\(477\) | 2.05845 | − | 11.6741i | 0.0942500 | − | 0.534518i | ||||
\(478\) | 2.30500 | + | 1.93412i | 0.105428 | + | 0.0884646i | ||||
\(479\) | 13.5919 | + | 4.94704i | 0.621029 | + | 0.226036i | 0.633322 | − | 0.773888i | \(-0.281691\pi\) |
−0.0122930 | + | 0.999924i | \(0.503913\pi\) | |||||||
\(480\) | −0.939693 | + | 0.342020i | −0.0428909 | + | 0.0156110i | ||||
\(481\) | −15.1342 | + | 12.6991i | −0.690060 | + | 0.579029i | ||||
\(482\) | −7.41144 | − | 12.8370i | −0.337582 | − | 0.584709i | ||||
\(483\) | 0.224324 | − | 0.388540i | 0.0102071 | − | 0.0176792i | ||||
\(484\) | 0.139186 | + | 0.789363i | 0.00632663 | + | 0.0358801i | ||||
\(485\) | −1.28262 | − | 7.27409i | −0.0582407 | − | 0.330300i | ||||
\(486\) | −0.500000 | + | 0.866025i | −0.0226805 | + | 0.0392837i | ||||
\(487\) | 8.53544 | + | 14.7838i | 0.386778 | + | 0.669919i | 0.992014 | − | 0.126127i | \(-0.0402547\pi\) |
−0.605236 | + | 0.796046i | \(0.706921\pi\) | |||||||
\(488\) | 1.96923 | − | 1.65238i | 0.0891428 | − | 0.0747997i | ||||
\(489\) | 8.75688 | − | 3.18725i | 0.396000 | − | 0.144132i | ||||
\(490\) | −1.69672 | − | 0.617557i | −0.0766502 | − | 0.0278984i | ||||
\(491\) | −9.51109 | − | 7.98075i | −0.429230 | − | 0.360166i | 0.402431 | − | 0.915450i | \(-0.368165\pi\) |
−0.831661 | + | 0.555284i | \(0.812610\pi\) | |||||||
\(492\) | 1.00531 | − | 5.70139i | 0.0453229 | − | 0.257039i | ||||
\(493\) | 1.27090 | 0.0572386 | ||||||||
\(494\) | −6.23849 | + | 3.49128i | −0.280683 | + | 0.157080i | ||||
\(495\) | 3.43534 | 0.154407 | ||||||||
\(496\) | −0.594874 | + | 3.37370i | −0.0267107 | + | 0.151484i | ||||
\(497\) | 10.5047 | + | 8.81451i | 0.471201 | + | 0.395385i | ||||
\(498\) | −7.11342 | − | 2.58907i | −0.318760 | − | 0.116019i | ||||
\(499\) | −22.6616 | + | 8.24816i | −1.01447 | + | 0.369239i | −0.795150 | − | 0.606413i | \(-0.792608\pi\) |
−0.219325 | + | 0.975652i | \(0.570385\pi\) | |||||||
\(500\) | 0.766044 | − | 0.642788i | 0.0342585 | − | 0.0287463i | ||||
\(501\) | −1.09636 | − | 1.89895i | −0.0489818 | − | 0.0848390i | ||||
\(502\) | 14.3342 | − | 24.8276i | 0.639768 | − | 1.10811i | ||||
\(503\) | −4.08773 | − | 23.1827i | −0.182263 | − | 1.03366i | −0.929422 | − | 0.369019i | \(-0.879694\pi\) |
0.747159 | − | 0.664645i | \(-0.231417\pi\) | |||||||
\(504\) | −0.515288 | − | 2.92234i | −0.0229528 | − | 0.130172i | ||||
\(505\) | −4.83149 | + | 8.36839i | −0.214998 | + | 0.372388i | ||||
\(506\) | −0.259696 | − | 0.449806i | −0.0115449 | − | 0.0199963i | ||||
\(507\) | −7.89801 | + | 6.62721i | −0.350763 | + | 0.294325i | ||||
\(508\) | −12.0915 | + | 4.40094i | −0.536473 | + | 0.195260i | ||||
\(509\) | 16.2932 | + | 5.93024i | 0.722183 | + | 0.262853i | 0.676852 | − | 0.736119i | \(-0.263344\pi\) |
0.0453308 | + | 0.998972i | \(0.485566\pi\) | |||||||
\(510\) | −0.200868 | − | 0.168548i | −0.00889457 | − | 0.00746343i | ||||
\(511\) | 3.28898 | − | 18.6528i | 0.145496 | − | 0.825149i | ||||
\(512\) | 1.00000 | 0.0441942 | ||||||||
\(513\) | −3.74540 | − | 2.22979i | −0.165364 | − | 0.0984477i | ||||
\(514\) | 9.76907 | 0.430895 | ||||||||
\(515\) | 1.79647 | − | 10.1883i | 0.0791618 | − | 0.448949i | ||||
\(516\) | −0.462328 | − | 0.387939i | −0.0203529 | − | 0.0170781i | ||||
\(517\) | −10.8273 | − | 3.94081i | −0.476183 | − | 0.173317i | ||||
\(518\) | 33.5895 | − | 12.2256i | 1.47584 | − | 0.537162i | ||||
\(519\) | −8.62108 | + | 7.23395i | −0.378423 | + | 0.317535i | ||||
\(520\) | 0.820043 | + | 1.42036i | 0.0359613 | + | 0.0622868i | ||||
\(521\) | −20.6188 | + | 35.7129i | −0.903328 | + | 1.56461i | −0.0801812 | + | 0.996780i | \(0.525550\pi\) |
−0.823146 | + | 0.567829i | \(0.807783\pi\) | |||||||
\(522\) | −0.841640 | − | 4.77318i | −0.0368376 | − | 0.208916i | ||||
\(523\) | −0.623075 | − | 3.53363i | −0.0272452 | − | 0.154515i | 0.968150 | − | 0.250371i | \(-0.0805524\pi\) |
−0.995395 | + | 0.0958555i | \(0.969441\pi\) | |||||||
\(524\) | −7.06637 | + | 12.2393i | −0.308696 | + | 0.534677i | ||||
\(525\) | 1.48371 | + | 2.56987i | 0.0647545 | + | 0.112158i | ||||
\(526\) | −4.42346 | + | 3.71172i | −0.192872 | + | 0.161839i | ||||
\(527\) | −0.844106 | + | 0.307229i | −0.0367698 | + | 0.0133831i | ||||
\(528\) | −3.22816 | − | 1.17495i | −0.140488 | − | 0.0511333i | ||||
\(529\) | −17.6015 | − | 14.7694i | −0.765283 | − | 0.642149i | ||||
\(530\) | 2.05845 | − | 11.6741i | 0.0894134 | − | 0.507089i | ||||
\(531\) | 2.72813 | 0.118391 | ||||||||
\(532\) | 12.7671 | − | 2.07536i | 0.553525 | − | 0.0899781i | ||||
\(533\) | −9.49503 | −0.411275 | ||||||||
\(534\) | 1.58523 | − | 8.99029i | 0.0685997 | − | 0.389048i | ||||
\(535\) | 5.94915 | + | 4.99193i | 0.257204 | + | 0.215820i | ||||
\(536\) | −0.480870 | − | 0.175022i | −0.0207704 | − | 0.00755981i | ||||
\(537\) | −11.4842 | + | 4.17989i | −0.495578 | + | 0.180376i | ||||
\(538\) | 21.7515 | − | 18.2517i | 0.937774 | − | 0.786885i | ||||
\(539\) | −3.10145 | − | 5.37187i | −0.133589 | − | 0.231383i | ||||
\(540\) | −0.500000 | + | 0.866025i | −0.0215166 | + | 0.0372678i | ||||
\(541\) | −6.81147 | − | 38.6298i | −0.292848 | − | 1.66082i | −0.675822 | − | 0.737065i | \(-0.736211\pi\) |
0.382974 | − | 0.923759i | \(-0.374900\pi\) | |||||||
\(542\) | −2.41813 | − | 13.7139i | −0.103868 | − | 0.589063i | ||||
\(543\) | 11.6975 | − | 20.2607i | 0.501988 | − | 0.869469i | ||||
\(544\) | 0.131107 | + | 0.227084i | 0.00562117 | + | 0.00973615i | ||||
\(545\) | −5.19812 | + | 4.36174i | −0.222663 | + | 0.186836i | ||||
\(546\) | −4.57333 | + | 1.66456i | −0.195720 | + | 0.0712364i | ||||
\(547\) | −14.4045 | − | 5.24282i | −0.615893 | − | 0.224167i | 0.0151869 | − | 0.999885i | \(-0.495166\pi\) |
−0.631080 | + | 0.775718i | \(0.717388\pi\) | |||||||
\(548\) | 8.84319 | + | 7.42032i | 0.377762 | + | 0.316980i | ||||
\(549\) | 0.446388 | − | 2.53159i | 0.0190514 | − | 0.108046i | ||||
\(550\) | 3.43534 | 0.146483 | ||||||||
\(551\) | 20.8530 | − | 3.38976i | 0.888370 | − | 0.144409i | ||||
\(552\) | 0.151191 | 0.00643511 | ||||||||
\(553\) | −3.10217 | + | 17.5933i | −0.131918 | + | 0.748141i | ||||
\(554\) | −8.37954 | − | 7.03127i | −0.356013 | − | 0.298730i | ||||
\(555\) | −11.3194 | − | 4.11993i | −0.480483 | − | 0.174881i | ||||
\(556\) | 6.00722 | − | 2.18645i | 0.254763 | − | 0.0927261i | ||||
\(557\) | 7.31960 | − | 6.14187i | 0.310141 | − | 0.260240i | −0.474409 | − | 0.880305i | \(-0.657338\pi\) |
0.784550 | + | 0.620065i | \(0.212894\pi\) | |||||||
\(558\) | 1.71287 | + | 2.96678i | 0.0725117 | + | 0.125594i | ||||
\(559\) | −0.494918 | + | 0.857223i | −0.0209328 | + | 0.0362567i | ||||
\(560\) | −0.515288 | − | 2.92234i | −0.0217749 | − | 0.123492i | ||||
\(561\) | −0.156421 | − | 0.887109i | −0.00660411 | − | 0.0374538i | ||||
\(562\) | 2.10552 | − | 3.64687i | 0.0888160 | − | 0.153834i | ||||
\(563\) | 7.09246 | + | 12.2845i | 0.298911 | + | 0.517730i | 0.975887 | − | 0.218275i | \(-0.0700431\pi\) |
−0.676976 | + | 0.736005i | \(0.736710\pi\) | |||||||
\(564\) | 2.56932 | − | 2.15592i | 0.108188 | − | 0.0907804i | ||||
\(565\) | 5.80555 | − | 2.11305i | 0.244241 | − | 0.0888966i | ||||
\(566\) | −24.7580 | − | 9.01118i | −1.04066 | − | 0.378768i | ||||
\(567\) | −2.27318 | − | 1.90742i | −0.0954646 | − | 0.0801043i | ||||
\(568\) | −0.802455 | + | 4.55095i | −0.0336703 | + | 0.190954i | ||||
\(569\) | 5.90923 | 0.247728 | 0.123864 | − | 0.992299i | \(-0.460471\pi\) | ||||
0.123864 | + | 0.992299i | \(0.460471\pi\) | |||||||
\(570\) | −3.74540 | − | 2.22979i | −0.156878 | − | 0.0933957i | ||||
\(571\) | −7.90141 | −0.330664 | −0.165332 | − | 0.986238i | \(-0.552869\pi\) | ||||
−0.165332 | + | 0.986238i | \(0.552869\pi\) | |||||||
\(572\) | −0.978377 | + | 5.54865i | −0.0409080 | + | 0.232001i | ||||
\(573\) | 16.5604 | + | 13.8958i | 0.691821 | + | 0.580507i | ||||
\(574\) | 16.1434 | + | 5.87572i | 0.673813 | + | 0.245248i | ||||
\(575\) | −0.142073 | + | 0.0517103i | −0.00592485 | + | 0.00215647i | ||||
\(576\) | 0.766044 | − | 0.642788i | 0.0319185 | − | 0.0267828i | ||||
\(577\) | −16.8929 | − | 29.2593i | −0.703259 | − | 1.21808i | −0.967316 | − | 0.253573i | \(-0.918394\pi\) |
0.264057 | − | 0.964507i | \(-0.414939\pi\) | |||||||
\(578\) | 8.46562 | − | 14.6629i | 0.352123 | − | 0.609896i | ||||
\(579\) | −4.25127 | − | 24.1102i | −0.176677 | − | 1.00198i | ||||
\(580\) | −0.841640 | − | 4.77318i | −0.0349472 | − | 0.198195i | ||||
\(581\) | 11.2316 | − | 19.4537i | 0.465966 | − | 0.807077i | ||||
\(582\) | 3.69315 | + | 6.39673i | 0.153086 | + | 0.265153i | ||||
\(583\) | 31.1956 | − | 26.1762i | 1.29199 | − | 1.08411i | ||||
\(584\) | 5.99788 | − | 2.18305i | 0.248194 | − | 0.0903352i | ||||
\(585\) | 1.54118 | + | 0.560943i | 0.0637198 | + | 0.0231921i | ||||
\(586\) | 25.1081 | + | 21.0682i | 1.03721 | + | 0.870321i | ||||
\(587\) | 1.33561 | − | 7.57462i | 0.0551265 | − | 0.312638i | −0.944759 | − | 0.327766i | \(-0.893704\pi\) |
0.999886 | + | 0.0151276i | \(0.00481544\pi\) | |||||||
\(588\) | 1.80562 | 0.0744623 | ||||||||
\(589\) | −13.0307 | + | 7.29244i | −0.536921 | + | 0.300480i | ||||
\(590\) | 2.72813 | 0.112315 | ||||||||
\(591\) | −4.33130 | + | 24.5640i | −0.178166 | + | 1.01043i | ||||
\(592\) | 9.22768 | + | 7.74294i | 0.379255 | + | 0.318233i | ||||
\(593\) | 17.4279 | + | 6.34324i | 0.715679 | + | 0.260486i | 0.674090 | − | 0.738649i | \(-0.264536\pi\) |
0.0415885 | + | 0.999135i | \(0.486758\pi\) | |||||||
\(594\) | −3.22816 | + | 1.17495i | −0.132453 | + | 0.0482090i | ||||
\(595\) | 0.596060 | − | 0.500154i | 0.0244361 | − | 0.0205043i | ||||
\(596\) | 0.602900 | + | 1.04425i | 0.0246958 | + | 0.0427743i | ||||
\(597\) | −3.94724 | + | 6.83682i | −0.161550 | + | 0.279812i | ||||
\(598\) | −0.0430589 | − | 0.244199i | −0.00176081 | − | 0.00998604i | ||||
\(599\) | 0.782542 | + | 4.43802i | 0.0319738 | + | 0.181332i | 0.996612 | − | 0.0822444i | \(-0.0262088\pi\) |
−0.964638 | + | 0.263577i | \(0.915098\pi\) | |||||||
\(600\) | −0.500000 | + | 0.866025i | −0.0204124 | + | 0.0353553i | ||||
\(601\) | 17.2987 | + | 29.9622i | 0.705628 | + | 1.22218i | 0.966464 | + | 0.256800i | \(0.0826683\pi\) |
−0.260837 | + | 0.965383i | \(0.583998\pi\) | |||||||
\(602\) | 1.37192 | − | 1.15118i | 0.0559155 | − | 0.0469187i | ||||
\(603\) | −0.480870 | + | 0.175022i | −0.0195825 | + | 0.00712746i | ||||
\(604\) | −22.7098 | − | 8.26568i | −0.924048 | − | 0.336326i | ||||
\(605\) | 0.614015 | + | 0.515220i | 0.0249633 | + | 0.0209467i | ||||
\(606\) | 1.67796 | − | 9.51618i | 0.0681624 | − | 0.386568i | ||||
\(607\) | 21.7750 | 0.883820 | 0.441910 | − | 0.897059i | \(-0.354301\pi\) | ||||
0.441910 | + | 0.897059i | \(0.354301\pi\) | |||||||
\(608\) | 2.75689 | + | 3.37632i | 0.111807 | + | 0.136928i | ||||
\(609\) | 14.3826 | 0.582810 | ||||||||
\(610\) | 0.446388 | − | 2.53159i | 0.0180737 | − | 0.102501i | ||||
\(611\) | −4.21391 | − | 3.53589i | −0.170476 | − | 0.143047i | ||||
\(612\) | 0.246401 | + | 0.0896825i | 0.00996016 | + | 0.00362520i | ||||
\(613\) | 3.27882 | − | 1.19339i | 0.132430 | − | 0.0482007i | −0.274955 | − | 0.961457i | \(-0.588663\pi\) |
0.407385 | + | 0.913256i | \(0.366441\pi\) | |||||||
\(614\) | 8.62432 | − | 7.23667i | 0.348049 | − | 0.292048i | ||||
\(615\) | −2.89467 | − | 5.01372i | −0.116724 | − | 0.202173i | ||||
\(616\) | 5.09705 | − | 8.82836i | 0.205366 | − | 0.355705i | ||||
\(617\) | −3.19804 | − | 18.1370i | −0.128748 | − | 0.730167i | −0.979011 | − | 0.203808i | \(-0.934668\pi\) |
0.850263 | − | 0.526358i | \(-0.176443\pi\) | |||||||
\(618\) | 1.79647 | + | 10.1883i | 0.0722645 | + | 0.409833i | ||||
\(619\) | 13.8765 | − | 24.0348i | 0.557743 | − | 0.966039i | −0.439941 | − | 0.898027i | \(-0.645001\pi\) |
0.997684 | − | 0.0680129i | \(-0.0216659\pi\) | |||||||
\(620\) | 1.71287 | + | 2.96678i | 0.0687906 | + | 0.119149i | ||||
\(621\) | 0.115819 | − | 0.0971837i | 0.00464766 | − | 0.00389985i | ||||
\(622\) | 5.59310 | − | 2.03572i | 0.224263 | − | 0.0816250i | ||||
\(623\) | 25.4559 | + | 9.26518i | 1.01987 | + | 0.371202i | ||||
\(624\) | −1.25638 | − | 1.05423i | −0.0502954 | − | 0.0422029i | ||||
\(625\) | 0.173648 | − | 0.984808i | 0.00694593 | − | 0.0393923i | ||||
\(626\) | −19.8446 | −0.793149 | ||||||||
\(627\) | −4.93267 | − | 14.1385i | −0.196992 | − | 0.564638i | ||||
\(628\) | 20.6897 | 0.825610 | ||||||||
\(629\) | −0.548485 | + | 3.11061i | −0.0218695 | + | 0.124028i | ||||
\(630\) | −2.27318 | − | 1.90742i | −0.0905657 | − | 0.0759936i | ||||
\(631\) | −27.4695 | − | 9.99807i | −1.09354 | − | 0.398017i | −0.268610 | − | 0.963249i | \(-0.586564\pi\) |
−0.824932 | + | 0.565232i | \(0.808787\pi\) | |||||||
\(632\) | −5.65719 | + | 2.05905i | −0.225031 | + | 0.0819046i | ||||
\(633\) | −10.4853 | + | 8.79824i | −0.416755 | + | 0.349699i | ||||
\(634\) | −17.1932 | − | 29.7794i | −0.682828 | − | 1.18269i | ||||
\(635\) | −6.43375 | + | 11.1436i | −0.255316 | + | 0.442219i | ||||
\(636\) | 2.05845 | + | 11.6741i | 0.0816229 | + | 0.462907i | ||||
\(637\) | −0.514236 | − | 2.91638i | −0.0203748 | − | 0.115551i | ||||
\(638\) | 8.32521 | − | 14.4197i | 0.329598 | − | 0.570881i | ||||
\(639\) | 2.31058 | + | 4.00204i | 0.0914051 | + | 0.158318i | ||||
\(640\) | 0.766044 | − | 0.642788i | 0.0302806 | − | 0.0254084i | ||||
\(641\) | −0.937619 | + | 0.341265i | −0.0370337 | + | 0.0134792i | −0.360471 | − | 0.932771i | \(-0.617384\pi\) |
0.323437 | + | 0.946250i | \(0.395162\pi\) | |||||||
\(642\) | −7.29771 | − | 2.65615i | −0.288018 | − | 0.104830i | ||||
\(643\) | −25.9538 | − | 21.7778i | −1.02352 | − | 0.858833i | −0.0334517 | − | 0.999440i | \(-0.510650\pi\) |
−0.990065 | + | 0.140607i | \(0.955094\pi\) | |||||||
\(644\) | −0.0779069 | + | 0.441832i | −0.00306996 | + | 0.0174106i | ||||
\(645\) | −0.603527 | −0.0237638 | ||||||||
\(646\) | −0.405261 | + | 1.06871i | −0.0159448 | + | 0.0420477i | ||||
\(647\) | −32.5517 | −1.27974 | −0.639869 | − | 0.768484i | \(-0.721011\pi\) | ||||
−0.639869 | + | 0.768484i | \(0.721011\pi\) | |||||||
\(648\) | 0.173648 | − | 0.984808i | 0.00682154 | − | 0.0386869i | ||||
\(649\) | 7.17940 | + | 6.02423i | 0.281816 | + | 0.236472i | ||||
\(650\) | 1.54118 | + | 0.560943i | 0.0604499 | + | 0.0220020i | ||||
\(651\) | −9.55258 | + | 3.47686i | −0.374395 | + | 0.136269i | ||||
\(652\) | −7.13868 | + | 5.99006i | −0.279572 | + | 0.234589i | ||||
\(653\) | 9.68172 | + | 16.7692i | 0.378875 | + | 0.656231i | 0.990899 | − | 0.134609i | \(-0.0429777\pi\) |
−0.612024 | + | 0.790839i | \(0.709644\pi\) | |||||||
\(654\) | 3.39283 | − | 5.87655i | 0.132670 | − | 0.229791i | ||||
\(655\) | 2.45412 | + | 13.9180i | 0.0958906 | + | 0.543822i | ||||
\(656\) | 1.00531 | + | 5.70139i | 0.0392507 | + | 0.222602i | ||||
\(657\) | 3.19140 | − | 5.52767i | 0.124508 | − | 0.215655i | ||||
\(658\) | 4.97639 | + | 8.61936i | 0.194000 | + | 0.336017i | ||||
\(659\) | −36.0738 | + | 30.2695i | −1.40523 | + | 1.17913i | −0.446515 | + | 0.894776i | \(0.647335\pi\) |
−0.958719 | + | 0.284356i | \(0.908220\pi\) | |||||||
\(660\) | −3.22816 | + | 1.17495i | −0.125656 | + | 0.0457350i | ||||
\(661\) | −35.5867 | − | 12.9525i | −1.38416 | − | 0.503793i | −0.460724 | − | 0.887543i | \(-0.652410\pi\) |
−0.923437 | + | 0.383750i | \(0.874632\pi\) | |||||||
\(662\) | −11.6364 | − | 9.76410i | −0.452262 | − | 0.379493i | ||||
\(663\) | 0.0746781 | − | 0.423520i | 0.00290026 | − | 0.0164482i | ||||
\(664\) | 7.56995 | 0.293771 | ||||||||
\(665\) | 8.44618 | − | 9.79637i | 0.327529 | − | 0.379887i | ||||
\(666\) | 12.0459 | 0.466768 | ||||||||
\(667\) | −0.127248 | + | 0.721661i | −0.00492707 | + | 0.0279428i | ||||
\(668\) | 1.67972 | + | 1.40946i | 0.0649904 | + | 0.0545335i | ||||
\(669\) | 24.7865 | + | 9.02155i | 0.958302 | + | 0.348793i | ||||
\(670\) | −0.480870 | + | 0.175022i | −0.0185776 | + | 0.00676170i | ||||
\(671\) | 6.76497 | − | 5.67648i | 0.261159 | − | 0.219138i | ||||
\(672\) | 1.48371 | + | 2.56987i | 0.0572355 | + | 0.0991347i | ||||
\(673\) | −5.23012 | + | 9.05883i | −0.201606 | + | 0.349192i | −0.949046 | − | 0.315137i | \(-0.897949\pi\) |
0.747440 | + | 0.664329i | \(0.231283\pi\) | |||||||
\(674\) | 2.51812 | + | 14.2809i | 0.0969942 | + | 0.550081i | ||||
\(675\) | 0.173648 | + | 0.984808i | 0.00668372 | + | 0.0379053i | ||||
\(676\) | 5.15506 | − | 8.92882i | 0.198271 | − | 0.343416i | ||||
\(677\) | −18.1549 | − | 31.4451i | −0.697748 | − | 1.20853i | −0.969246 | − | 0.246095i | \(-0.920852\pi\) |
0.271498 | − | 0.962439i | \(-0.412481\pi\) | |||||||
\(678\) | −4.73273 | + | 3.97123i | −0.181759 | + | 0.152514i | ||||
\(679\) | −20.5965 | + | 7.49651i | −0.790420 | + | 0.287690i | ||||
\(680\) | 0.246401 | + | 0.0896825i | 0.00944903 | + | 0.00343917i | ||||
\(681\) | 0.176116 | + | 0.147779i | 0.00674880 | + | 0.00566291i | ||||
\(682\) | −2.04359 | + | 11.5898i | −0.0782533 | + | 0.443796i | ||||
\(683\) | 0.481698 | 0.0184317 | 0.00921584 | − | 0.999958i | \(-0.497066\pi\) | ||||
0.00921584 | + | 0.999958i | \(0.497066\pi\) | |||||||
\(684\) | 4.28216 | + | 0.814315i | 0.163732 | + | 0.0311361i | ||||
\(685\) | 11.5440 | 0.441072 | ||||||||
\(686\) | 2.67660 | − | 15.1798i | 0.102193 | − | 0.579567i | ||||
\(687\) | −4.34651 | − | 3.64715i | −0.165830 | − | 0.139148i | ||||
\(688\) | 0.567130 | + | 0.206418i | 0.0216216 | + | 0.00786962i | ||||
\(689\) | 18.2693 | − | 6.64950i | 0.696007 | − | 0.253326i | ||||
\(690\) | 0.115819 | − | 0.0971837i | 0.00440915 | − | 0.00369972i | ||||
\(691\) | 0.0986815 | + | 0.170921i | 0.00375402 | + | 0.00650215i | 0.867896 | − | 0.496745i | \(-0.165472\pi\) |
−0.864142 | + | 0.503248i | \(0.832138\pi\) | |||||||
\(692\) | 5.62701 | − | 9.74627i | 0.213907 | − | 0.370498i | ||||
\(693\) | −1.77019 | − | 10.0392i | −0.0672439 | − | 0.381359i | ||||
\(694\) | 2.43692 | + | 13.8204i | 0.0925040 | + | 0.524616i | ||||
\(695\) | 3.19637 | − | 5.53628i | 0.121245 | − | 0.210003i | ||||
\(696\) | 2.42341 | + | 4.19746i | 0.0918589 | + | 0.159104i | ||||
\(697\) | −1.16289 | + | 0.975783i | −0.0440477 | + | 0.0369604i | ||||
\(698\) | −11.6179 | + | 4.22856i | −0.439743 | + | 0.160053i | ||||
\(699\) | 14.6842 | + | 5.34460i | 0.555406 | + | 0.202151i | ||||
\(700\) | −2.27318 | − | 1.90742i | −0.0859181 | − | 0.0720939i | ||||
\(701\) | 1.00561 | − | 5.70310i | 0.0379814 | − | 0.215403i | −0.959910 | − | 0.280308i | \(-0.909563\pi\) |
0.997891 | + | 0.0649050i | \(0.0206744\pi\) | |||||||
\(702\) | −1.64009 | −0.0619011 | ||||||||
\(703\) | −0.702932 | + | 52.5020i | −0.0265116 | + | 1.98015i | ||||
\(704\) | 3.43534 | 0.129474 | ||||||||
\(705\) | 0.582418 | − | 3.30305i | 0.0219351 | − | 0.124400i | ||||
\(706\) | 27.0080 | + | 22.6624i | 1.01646 | + | 0.852911i | ||||
\(707\) | 26.9449 | + | 9.80714i | 1.01337 | + | 0.368836i | ||||
\(708\) | −2.56360 | + | 0.933074i | −0.0963460 | + | 0.0350671i | ||||
\(709\) | 16.2536 | − | 13.6384i | 0.610418 | − | 0.512201i | −0.284357 | − | 0.958718i | \(-0.591780\pi\) |
0.894775 | + | 0.446517i | \(0.147336\pi\) | |||||||
\(710\) | 2.31058 | + | 4.00204i | 0.0867145 | + | 0.150194i | ||||
\(711\) | −3.01013 | + | 5.21369i | −0.112889 | + | 0.195529i | ||||
\(712\) | 1.58523 | + | 8.99029i | 0.0594090 | + | 0.336925i | ||||
\(713\) | −0.0899396 | − | 0.510073i | −0.00336827 | − | 0.0191024i | ||||
\(714\) | −0.389050 | + | 0.673855i | −0.0145598 | + | 0.0252184i | ||||
\(715\) | 2.81713 | + | 4.87940i | 0.105355 | + | 0.182479i | ||||
\(716\) | 9.36197 | − | 7.85562i | 0.349873 | − | 0.293578i | ||||
\(717\) | −2.82750 | + | 1.02912i | −0.105595 | + | 0.0384333i | ||||
\(718\) | −22.1655 | − | 8.06758i | −0.827209 | − | 0.301080i | ||||
\(719\) | −18.0476 | − | 15.1438i | −0.673063 | − | 0.564767i | 0.240907 | − | 0.970548i | \(-0.422555\pi\) |
−0.913970 | + | 0.405781i | \(0.867000\pi\) | |||||||
\(720\) | 0.173648 | − | 0.984808i | 0.00647149 | − | 0.0367016i | ||||
\(721\) | −30.6993 | −1.14330 | ||||||||
\(722\) | −3.79908 | + | 18.6163i | −0.141387 | + | 0.692827i | ||||
\(723\) | 14.8229 | 0.551269 | ||||||||
\(724\) | −4.06250 | + | 23.0396i | −0.150982 | + | 0.856259i | ||||
\(725\) | −3.71287 | − | 3.11547i | −0.137893 | − | 0.115706i | ||||
\(726\) | −0.753201 | − | 0.274143i | −0.0279539 | − | 0.0101744i | ||||
\(727\) | −23.9012 | + | 8.69934i | −0.886448 | + | 0.322641i | −0.744809 | − | 0.667278i | \(-0.767459\pi\) |
−0.141639 | + | 0.989918i | \(0.545237\pi\) | |||||||
\(728\) | 3.72821 | − | 3.12834i | 0.138177 | − | 0.115944i | ||||
\(729\) | −0.500000 | − | 0.866025i | −0.0185185 | − | 0.0320750i | ||||
\(730\) | 3.19140 | − | 5.52767i | 0.118119 | − | 0.204588i | ||||
\(731\) | 0.0274804 | + | 0.155849i | 0.00101640 | + | 0.00576428i | ||||
\(732\) | 0.446388 | + | 2.53159i | 0.0164990 | + | 0.0935704i | ||||
\(733\) | −8.75751 | + | 15.1685i | −0.323466 | + | 0.560260i | −0.981201 | − | 0.192990i | \(-0.938182\pi\) |
0.657735 | + | 0.753250i | \(0.271515\pi\) | |||||||
\(734\) | −14.8438 | − | 25.7102i | −0.547893 | − | 0.948979i | ||||
\(735\) | 1.38318 | − | 1.16063i | 0.0510194 | − | 0.0428104i | ||||
\(736\) | −0.142073 | + | 0.0517103i | −0.00523688 | + | 0.00190607i | ||||
\(737\) | −1.65195 | − | 0.601261i | −0.0608504 | − | 0.0221477i | ||||
\(738\) | 4.43490 | + | 3.72132i | 0.163251 | + | 0.136984i | ||||
\(739\) | 1.28169 | − | 7.26881i | 0.0471476 | − | 0.267387i | −0.952117 | − | 0.305734i | \(-0.901098\pi\) |
0.999264 | + | 0.0383469i | \(0.0122092\pi\) | |||||||
\(740\) | 12.0459 | 0.442815 | ||||||||
\(741\) | 0.0957066 | − | 7.14833i | 0.00351587 | − | 0.262601i | ||||
\(742\) | −35.1763 | −1.29136 | ||||||||
\(743\) | −3.22662 | + | 18.2991i | −0.118373 | + | 0.671327i | 0.866652 | + | 0.498914i | \(0.166268\pi\) |
−0.985025 | + | 0.172413i | \(0.944843\pi\) | |||||||
\(744\) | −2.62427 | − | 2.20203i | −0.0962105 | − | 0.0807302i | ||||
\(745\) | 1.13308 | + | 0.412408i | 0.0415129 | + | 0.0151095i | ||||
\(746\) | −13.5534 | + | 4.93303i | −0.496225 | + | 0.180611i | ||||
\(747\) | 5.79892 | − | 4.86587i | 0.212171 | − | 0.178033i | ||||
\(748\) | 0.450397 | + | 0.780110i | 0.0164681 | + | 0.0285237i | ||||
\(749\) | 11.5226 | − | 19.9577i | 0.421027 | − | 0.729240i | ||||
\(750\) | 0.173648 | + | 0.984808i | 0.00634073 | + | 0.0359601i | ||||
\(751\) | −4.81366 | − | 27.2996i | −0.175653 | − | 0.996177i | −0.937388 | − | 0.348288i | \(-0.886763\pi\) |
0.761735 | − | 0.647889i | \(-0.224348\pi\) | |||||||
\(752\) | −1.67700 | + | 2.90466i | −0.0611541 | + | 0.105922i | ||||
\(753\) | 14.3342 | + | 24.8276i | 0.522369 | + | 0.904769i | ||||
\(754\) | 6.08943 | − | 5.10964i | 0.221764 | − | 0.186082i | ||||
\(755\) | −22.7098 | + | 8.26568i | −0.826493 | + | 0.300819i | ||||
\(756\) | 2.78847 | + | 1.01492i | 0.101416 | + | 0.0369123i | ||||
\(757\) | 2.44604 | + | 2.05247i | 0.0889028 | + | 0.0745983i | 0.686156 | − | 0.727455i | \(-0.259297\pi\) |
−0.597253 | + | 0.802053i | \(0.703741\pi\) | |||||||
\(758\) | −2.23580 | + | 12.6799i | −0.0812079 | + | 0.460553i | ||||
\(759\) | 0.519392 | 0.0188527 | ||||||||
\(760\) | 4.28216 | + | 0.814315i | 0.155330 | + | 0.0295383i | ||||
\(761\) | 12.0427 | 0.436548 | 0.218274 | − | 0.975888i | \(-0.429957\pi\) | ||||
0.218274 | + | 0.975888i | \(0.429957\pi\) | |||||||
\(762\) | 2.23442 | − | 12.6720i | 0.0809444 | − | 0.459059i | ||||
\(763\) | 15.4250 | + | 12.9431i | 0.558423 | + | 0.468573i | ||||
\(764\) | −20.3144 | − | 7.39382i | −0.734948 | − | 0.267499i | ||||
\(765\) | 0.246401 | − | 0.0896825i | 0.00890863 | − | 0.00324248i | ||||
\(766\) | 12.8350 | − | 10.7698i | 0.463746 | − | 0.389129i | ||||
\(767\) | 2.23718 | + | 3.87491i | 0.0807800 | + | 0.139915i | ||||
\(768\) | −0.500000 | + | 0.866025i | −0.0180422 | + | 0.0312500i | ||||
\(769\) | −3.61004 | − | 20.4736i | −0.130181 | − | 0.738295i | −0.978095 | − | 0.208160i | \(-0.933252\pi\) |
0.847913 | − | 0.530135i | \(-0.177859\pi\) | |||||||
\(770\) | −1.77019 | − | 10.0392i | −0.0637932 | − | 0.361789i | ||||
\(771\) | −4.88454 | + | 8.46026i | −0.175912 | + | 0.304689i | ||||
\(772\) | 12.2411 | + | 21.2021i | 0.440565 | + | 0.763081i | ||||
\(773\) | −19.7021 | + | 16.5321i | −0.708637 | + | 0.594617i | −0.924216 | − | 0.381870i | \(-0.875280\pi\) |
0.215580 | + | 0.976486i | \(0.430836\pi\) | |||||||
\(774\) | 0.567130 | − | 0.206418i | 0.0203851 | − | 0.00741955i | ||||
\(775\) | 3.21915 | + | 1.17167i | 0.115635 | + | 0.0420878i | ||||
\(776\) | −5.65824 | − | 4.74783i | −0.203119 | − | 0.170437i | ||||
\(777\) | −6.20710 | + | 35.2022i | −0.222678 | + | 1.26287i | ||||
\(778\) | −26.3041 | −0.943049 | ||||||||
\(779\) | −16.4782 | + | 19.1124i | −0.590393 | + | 0.684772i | ||||
\(780\) | −1.64009 | −0.0587245 | ||||||||
\(781\) | −2.75670 | + | 15.6341i | −0.0986427 | + | 0.559430i | ||||
\(782\) | −0.0303694 | − | 0.0254829i | −0.00108601 | − | 0.000911268i | ||||
\(783\) | 4.55451 | + | 1.65771i | 0.162765 | + | 0.0592416i | ||||
\(784\) | −1.69672 | + | 0.617557i | −0.0605973 | + | 0.0220556i | ||||
\(785\) | 15.8493 | − | 13.2991i | 0.565684 | − | 0.474665i | ||||
\(786\) | −7.06637 | − | 12.2393i | −0.252049 | − | 0.436562i | ||||
\(787\) | −22.1978 | + | 38.4478i | −0.791267 | + | 1.37052i | 0.133915 | + | 0.990993i | \(0.457245\pi\) |
−0.925183 | + | 0.379522i | \(0.876088\pi\) | |||||||
\(788\) | −4.33130 | − | 24.5640i | −0.154296 | − | 0.875057i | ||||
\(789\) | −1.00272 | − | 5.68669i | −0.0356976 | − | 0.202451i | ||||
\(790\) | −3.01013 | + | 5.21369i | −0.107096 | + | 0.185495i | ||||
\(791\) | −9.16658 | − | 15.8770i | −0.325926 | − | 0.564521i | ||||
\(792\) | 2.63162 | − | 2.20819i | 0.0935106 | − | 0.0784647i | ||||
\(793\) | 3.96182 | − | 1.44199i | 0.140688 | − | 0.0512064i | ||||
\(794\) | 9.73666 | + | 3.54386i | 0.345541 | + | 0.125767i | ||||
\(795\) | 9.08081 | + | 7.61970i | 0.322063 | + | 0.270243i | ||||
\(796\) | 1.37086 | − | 7.77454i | 0.0485889 | − | 0.275561i | ||||
\(797\) | 54.8407 | 1.94256 | 0.971279 | − | 0.237944i | \(-0.0764733\pi\) | ||||
0.971279 | + | 0.237944i | \(0.0764733\pi\) | |||||||
\(798\) | −4.58625 | + | 12.0943i | −0.162352 | + | 0.428135i | ||||
\(799\) | −0.879469 | −0.0311134 | ||||||||
\(800\) | 0.173648 | − | 0.984808i | 0.00613939 | − | 0.0348182i | ||||
\(801\) | 6.99321 | + | 5.86800i | 0.247093 | + | 0.207335i | ||||
\(802\) | 8.92089 | + | 3.24694i | 0.315007 | + | 0.114653i | ||||
\(803\) | 20.6047 | − | 7.49951i | 0.727125 | − | 0.264652i | ||||
\(804\) | 0.392009 | − | 0.328934i | 0.0138251 | − | 0.0116006i | ||||
\(805\) | 0.224324 | + | 0.388540i | 0.00790638 | + | 0.0136943i | ||||
\(806\) | −2.80926 | + | 4.86578i | −0.0989519 | + | 0.171390i | ||||
\(807\) | 4.93066 | + | 27.9632i | 0.173568 | + | 0.984351i | ||||
\(808\) | 1.67796 | + | 9.51618i | 0.0590304 | + | 0.334778i | ||||
\(809\) | 22.7992 | − | 39.4894i | 0.801578 | − | 1.38837i | −0.116999 | − | 0.993132i | \(-0.537328\pi\) |
0.918577 | − | 0.395242i | \(-0.129339\pi\) | |||||||
\(810\) | −0.500000 | − | 0.866025i | −0.0175682 | − | 0.0304290i | ||||
\(811\) | −39.5132 | + | 33.1555i | −1.38749 | + | 1.16425i | −0.421151 | + | 0.906990i | \(0.638374\pi\) |
−0.966343 | + | 0.257256i | \(0.917182\pi\) | |||||||
\(812\) | −13.5152 | + | 4.91912i | −0.474290 | + | 0.172627i | ||||
\(813\) | 13.0857 | + | 4.76279i | 0.458934 | + | 0.167038i | ||||
\(814\) | 31.7002 | + | 26.5996i | 1.11109 | + | 0.932316i | ||||
\(815\) | −1.61821 | + | 9.17731i | −0.0566833 | + | 0.321467i | ||||
\(816\) | −0.262214 | −0.00917933 | ||||||||
\(817\) | 0.866581 | + | 2.48388i | 0.0303178 | + | 0.0869001i | ||||
\(818\) | 14.9490 | 0.522681 | ||||||||
\(819\) | 0.845117 | − | 4.79290i | 0.0295308 | − | 0.167477i | ||||
\(820\) | 4.43490 | + | 3.72132i | 0.154873 | + | 0.129954i | ||||
\(821\) | 4.23286 | + | 1.54064i | 0.147728 | + | 0.0537685i | 0.414826 | − | 0.909901i | \(-0.363843\pi\) |
−0.267098 | + | 0.963669i | \(0.586065\pi\) | |||||||
\(822\) | −10.8478 | + | 3.94827i | −0.378360 | + | 0.137712i | ||||
\(823\) | 20.0181 | − | 16.7972i | 0.697786 | − | 0.585512i | −0.223357 | − | 0.974737i | \(-0.571701\pi\) |
0.921143 | + | 0.389225i | \(0.127257\pi\) | |||||||
\(824\) | −5.17272 | − | 8.95942i | −0.180200 | − | 0.312116i | ||||
\(825\) | −1.71767 | + | 2.97509i | −0.0598015 | + | 0.103579i | ||||
\(826\) | −1.40577 | − | 7.97253i | −0.0489130 | − | 0.277400i | ||||
\(827\) | −6.24627 | − | 35.4243i | −0.217204 | − | 1.23182i | −0.877041 | − | 0.480416i | \(-0.840486\pi\) |
0.659837 | − | 0.751409i | \(-0.270625\pi\) | |||||||
\(828\) | −0.0755955 | + | 0.130935i | −0.00262712 | + | 0.00455031i | ||||
\(829\) | 13.5963 | + | 23.5496i | 0.472221 | + | 0.817910i | 0.999495 | − | 0.0317851i | \(-0.0101192\pi\) |
−0.527274 | + | 0.849695i | \(0.676786\pi\) | |||||||
\(830\) | 5.79892 | − | 4.86587i | 0.201283 | − | 0.168897i | ||||
\(831\) | 10.2790 | − | 3.74126i | 0.356576 | − | 0.129783i | ||||
\(832\) | 1.54118 | + | 0.560943i | 0.0534307 | + | 0.0194472i | ||||
\(833\) | −0.362690 | − | 0.304333i | −0.0125665 | − | 0.0105445i | ||||
\(834\) | −1.11009 | + | 6.29563i | −0.0384392 | + | 0.218000i | ||||
\(835\) | 2.19272 | 0.0758823 | ||||||||
\(836\) | 9.47086 | + | 11.5988i | 0.327556 | + | 0.401153i | ||||
\(837\) | −3.42575 | −0.118411 | ||||||||
\(838\) | −1.07221 | + | 6.08083i | −0.0370390 | + | 0.210059i | ||||
\(839\) | 15.2662 | + | 12.8099i | 0.527048 | + | 0.442246i | 0.867081 | − | 0.498168i | \(-0.165994\pi\) |
−0.340032 | + | 0.940414i | \(0.610438\pi\) | |||||||
\(840\) | 2.78847 | + | 1.01492i | 0.0962113 | + | 0.0350180i | ||||
\(841\) | 5.17622 | − | 1.88399i | 0.178490 | − | 0.0649652i | ||||
\(842\) | −0.883431 | + | 0.741286i | −0.0304450 | + | 0.0255464i | ||||
\(843\) | 2.10552 | + | 3.64687i | 0.0725179 | + | 0.125605i | ||||
\(844\) | 6.84382 | − | 11.8538i | 0.235574 | − | 0.408026i | ||||
\(845\) | −1.79033 | − | 10.1535i | −0.0615893 | − | 0.349290i | ||||
\(846\) | 0.582418 | + | 3.30305i | 0.0200239 | + | 0.113561i | ||||
\(847\) | 1.18925 | − | 2.05985i | 0.0408633 | − | 0.0707773i | ||||
\(848\) | −5.92708 | − | 10.2660i | −0.203537 | − | 0.352536i | ||||
\(849\) | 20.1829 | − | 16.9355i | 0.692676 | − | 0.581224i | ||||
\(850\) | 0.246401 | − | 0.0896825i | 0.00845147 | − | 0.00307608i | ||||
\(851\) | −1.71139 | − | 0.622896i | −0.0586658 | − | 0.0213526i | ||||
\(852\) | −3.54001 | − | 2.97042i | −0.121279 | − | 0.101765i | ||||
\(853\) | −5.21100 | + | 29.5530i | −0.178421 | + | 1.01188i | 0.755699 | + | 0.654919i | \(0.227297\pi\) |
−0.934120 | + | 0.356958i | \(0.883814\pi\) | |||||||
\(854\) | −7.62820 | −0.261032 | ||||||||
\(855\) | 3.80376 | − | 2.12872i | 0.130086 | − | 0.0728006i | ||||
\(856\) | 7.76606 | 0.265438 | ||||||||
\(857\) | 1.41483 | − | 8.02388i | 0.0483295 | − | 0.274090i | −0.951061 | − | 0.309004i | \(-0.900004\pi\) |
0.999390 | + | 0.0349134i | \(0.0111155\pi\) | |||||||
\(858\) | −4.31609 | − | 3.62163i | −0.147349 | − | 0.123640i | ||||
\(859\) | 4.62399 | + | 1.68299i | 0.157768 | + | 0.0574230i | 0.419697 | − | 0.907664i | \(-0.362136\pi\) |
−0.261929 | + | 0.965087i | \(0.584359\pi\) | |||||||
\(860\) | 0.567130 | − | 0.206418i | 0.0193390 | − | 0.00703881i | ||||
\(861\) | −13.1602 | + | 11.0427i | −0.448499 | + | 0.376336i | ||||
\(862\) | 11.7023 | + | 20.2689i | 0.398581 | + | 0.690362i | ||||
\(863\) | −2.56539 | + | 4.44339i | −0.0873271 | + | 0.151255i | −0.906380 | − | 0.422462i | \(-0.861166\pi\) |
0.819053 | + | 0.573717i | \(0.194499\pi\) | |||||||
\(864\) | 0.173648 | + | 0.984808i | 0.00590763 | + | 0.0335038i | ||||
\(865\) | −1.95424 | − | 11.0830i | −0.0664462 | − | 0.376835i | ||||
\(866\) | 6.52780 | − | 11.3065i | 0.221824 | − | 0.384210i | ||||
\(867\) | 8.46562 | + | 14.6629i | 0.287508 | + | 0.497978i | ||||
\(868\) | 7.78734 | − | 6.53435i | 0.264319 | − | 0.221790i | ||||
\(869\) | −19.4344 | + | 7.07353i | −0.659265 | + | 0.239953i | ||||
\(870\) | 4.55451 | + | 1.65771i | 0.154412 | + | 0.0562015i | ||||
\(871\) | −0.642928 | − | 0.539481i | −0.0217848 | − | 0.0182796i | ||||
\(872\) | −1.17832 | + | 6.68257i | −0.0399029 | + | 0.226300i | ||||
\(873\) | −7.38631 | −0.249989 | ||||||||
\(874\) | −0.566271 | − | 0.337124i | −0.0191544 | − | 0.0114034i | ||||
\(875\) | −2.96743 | −0.100317 | ||||||||
\(876\) | −1.10836 | + | 6.28584i | −0.0374481 | + | 0.212379i | ||||
\(877\) | −20.9188 | − | 17.5530i | −0.706378 | − | 0.592722i | 0.217202 | − | 0.976127i | \(-0.430307\pi\) |
−0.923580 | + | 0.383405i | \(0.874751\pi\) | |||||||
\(878\) | 20.9628 | + | 7.62983i | 0.707459 | + | 0.257494i | ||||
\(879\) | −30.7997 | + | 11.2102i | −1.03885 | + | 0.378110i | ||||
\(880\) | 2.63162 | − | 2.20819i | 0.0887119 | − | 0.0744381i | ||||
\(881\) | 15.0637 | + | 26.0912i | 0.507510 | + | 0.879033i | 0.999962 | + | 0.00869372i | \(0.00276733\pi\) |
−0.492452 | + | 0.870340i | \(0.663899\pi\) | |||||||
\(882\) | −0.902808 | + | 1.56371i | −0.0303991 | + | 0.0526528i | ||||
\(883\) | 6.72568 | + | 38.1433i | 0.226337 | + | 1.28362i | 0.860112 | + | 0.510105i | \(0.170393\pi\) |
−0.633775 | + | 0.773518i | \(0.718495\pi\) | |||||||
\(884\) | 0.0746781 | + | 0.423520i | 0.00251170 | + | 0.0142445i | ||||
\(885\) | −1.36406 | + | 2.36263i | −0.0458525 | + | 0.0794189i | ||||
\(886\) | 15.1238 | + | 26.1952i | 0.508095 | + | 0.880046i | ||||
\(887\) | 19.3713 | − | 16.2544i | 0.650424 | − | 0.545770i | −0.256776 | − | 0.966471i | \(-0.582660\pi\) |
0.907199 | + | 0.420701i | \(0.138216\pi\) | |||||||
\(888\) | −11.3194 | + | 4.11993i | −0.379855 | + | 0.138256i | ||||
\(889\) | 35.8806 | + | 13.0595i | 1.20340 | + | 0.438001i | ||||
\(890\) | 6.99321 | + | 5.86800i | 0.234413 | + | 0.196696i | ||||
\(891\) | 0.596540 | − | 3.38315i | 0.0199848 | − | 0.113340i | ||||
\(892\) | −26.3773 | −0.883176 | ||||||||
\(893\) | −14.4304 | + | 2.34572i | −0.482894 | + | 0.0784967i | ||||
\(894\) | −1.20580 | −0.0403280 | ||||||||
\(895\) | 2.12219 | − | 12.0355i | 0.0709368 | − | 0.402303i | ||||
\(896\) | −2.27318 | − | 1.90742i | −0.0759416 | − | 0.0637226i | ||||
\(897\) | 0.233012 | + | 0.0848094i | 0.00778004 | + | 0.00283170i | ||||
\(898\) | −29.2736 | + | 10.6547i | −0.976871 | + | 0.355552i | ||||
\(899\) | 12.7194 | − | 10.6728i | 0.424214 | − | 0.355958i | ||||
\(900\) | −0.500000 | − | 0.866025i | −0.0166667 | − | 0.0288675i | ||||
\(901\) | 1.55416 | − | 2.69189i | 0.0517767 | − | 0.0896798i | ||||
\(902\) | 3.45358 | + | 19.5862i | 0.114992 | + | 0.652149i | ||||
\(903\) | 0.310990 | + | 1.76371i | 0.0103491 | + | 0.0586927i | ||||
\(904\) | 3.08907 | − | 5.35042i | 0.102741 | − | 0.177952i | ||||
\(905\) | 11.6975 | + | 20.2607i | 0.388838 | + | 0.673488i | ||||
\(906\) | 18.5132 | − | 15.5344i | 0.615059 | − | 0.516096i | ||||
\(907\) | −9.35450 | + | 3.40476i | −0.310611 | + | 0.113053i | −0.492622 | − | 0.870243i | \(-0.663962\pi\) |
0.182011 | + | 0.983296i | \(0.441739\pi\) | |||||||
\(908\) | −0.216039 | − | 0.0786317i | −0.00716950 | − | 0.00260948i | ||||
\(909\) | 7.40227 | + | 6.21124i | 0.245518 | + | 0.206014i | ||||
\(910\) | 0.845117 | − | 4.79290i | 0.0280154 | − | 0.158883i | ||||
\(911\) | 8.60263 | 0.285018 | 0.142509 | − | 0.989794i | \(-0.454483\pi\) | ||||
0.142509 | + | 0.989794i | \(0.454483\pi\) | |||||||
\(912\) | −4.30243 | + | 0.699379i | −0.142468 | + | 0.0231588i | ||||
\(913\) | 26.0053 | 0.860650 | ||||||||
\(914\) | −5.20303 | + | 29.5078i | −0.172101 | + | 0.976033i | ||||
\(915\) | 1.96923 | + | 1.65238i | 0.0651007 | + | 0.0546260i | ||||
\(916\) | 5.33178 | + | 1.94061i | 0.176167 | + | 0.0641195i | ||||
\(917\) | 39.4087 | − | 14.3436i | 1.30139 | − | 0.473667i | ||||
\(918\) | −0.200868 | + | 0.168548i | −0.00662962 | + | 0.00556291i | ||||
\(919\) | −10.3320 | − | 17.8956i | −0.340823 | − | 0.590322i | 0.643763 | − | 0.765225i | \(-0.277372\pi\) |
−0.984586 | + | 0.174903i | \(0.944039\pi\) | |||||||
\(920\) | −0.0755955 | + | 0.130935i | −0.00249231 | + | 0.00431681i | ||||
\(921\) | 1.95498 | + | 11.0872i | 0.0644186 | + | 0.365336i | ||||
\(922\) | 0.167991 | + | 0.952722i | 0.00553247 | + | 0.0313762i | ||||
\(923\) | −3.78955 | + | 6.56369i | −0.124735 | + | 0.216047i | ||||
\(924\) | 5.09705 | + | 8.82836i | 0.167681 | + | 0.290432i | ||||
\(925\) | 9.22768 | − | 7.74294i | 0.303404 | − | 0.254586i | ||||
\(926\) | −10.3316 | + | 3.76040i | −0.339518 | + | 0.123574i | ||||
\(927\) | −9.72154 | − | 3.53835i | −0.319297 | − | 0.116215i | ||||
\(928\) | −3.71287 | − | 3.11547i | −0.121881 | − | 0.102270i | ||||
\(929\) | −4.72578 | + | 26.8013i | −0.155048 | + | 0.879321i | 0.803694 | + | 0.595043i | \(0.202865\pi\) |
−0.958742 | + | 0.284278i | \(0.908246\pi\) | |||||||
\(930\) | −3.42575 | −0.112335 | ||||||||
\(931\) | −6.76276 | − | 4.02615i | −0.221640 | − | 0.131952i | ||||
\(932\) | −15.6266 | −0.511865 | ||||||||
\(933\) | −1.03356 | + | 5.86163i | −0.0338373 | + | 0.191901i | ||||
\(934\) | 3.35296 | + | 2.81347i | 0.109712 | + | 0.0920594i | ||||
\(935\) | 0.846469 | + | 0.308090i | 0.0276825 | + | 0.0100756i | ||||
\(936\) | 1.54118 | − | 0.560943i | 0.0503750 | − | 0.0183350i | ||||
\(937\) | 25.9822 | − | 21.8016i | 0.848801 | − | 0.712228i | −0.110724 | − | 0.993851i | \(-0.535317\pi\) |
0.959525 | + | 0.281623i | \(0.0908726\pi\) | |||||||
\(938\) | 0.759262 | + | 1.31508i | 0.0247908 | + | 0.0429389i | ||||
\(939\) | 9.92229 | − | 17.1859i | 0.323802 | − | 0.560841i | ||||
\(940\) | 0.582418 | + | 3.30305i | 0.0189964 | + | 0.107734i | ||||
\(941\) | 0.187702 | + | 1.06451i | 0.00611892 | + | 0.0347021i | 0.987714 | − | 0.156270i | \(-0.0499470\pi\) |
−0.981595 | + | 0.190972i | \(0.938836\pi\) | |||||||
\(942\) | −10.3449 | + | 17.9178i | −0.337054 | + | 0.583794i | ||||
\(943\) | −0.437648 | − | 0.758029i | −0.0142518 | − | 0.0246848i | ||||
\(944\) | 2.08987 | − | 1.75361i | 0.0680194 | − | 0.0570750i | ||||
\(945\) | 2.78847 | − | 1.01492i | 0.0907089 | − | 0.0330153i | ||||
\(946\) | 1.94828 | + | 0.709116i | 0.0633441 | + | 0.0230554i | ||||
\(947\) | −8.33654 | − | 6.99519i | −0.270901 | − | 0.227313i | 0.497209 | − | 0.867631i | \(-0.334358\pi\) |
−0.768110 | + | 0.640318i | \(0.778803\pi\) | |||||||
\(948\) | 1.04541 | − | 5.92879i | 0.0339532 | − | 0.192558i | ||||
\(949\) | 10.4684 | 0.339817 | ||||||||
\(950\) | 3.80376 | − | 2.12872i | 0.123410 | − | 0.0690647i | ||||
\(951\) | 34.3863 | 1.11505 | ||||||||
\(952\) | 0.135116 | − | 0.766280i | 0.00437913 | − | 0.0248353i | ||||
\(953\) | −28.4779 | − | 23.8958i | −0.922491 | − | 0.774062i | 0.0519629 | − | 0.998649i | \(-0.483452\pi\) |
−0.974454 | + | 0.224587i | \(0.927897\pi\) | |||||||
\(954\) | −11.1393 | − | 4.05436i | −0.360647 | − | 0.131265i | ||||
\(955\) | −20.3144 | + | 7.39382i | −0.657357 | + | 0.239258i | ||||
\(956\) | 2.30500 | − | 1.93412i | 0.0745489 | − | 0.0625539i | ||||
\(957\) | 8.32521 | + | 14.4197i | 0.269116 | + | 0.466123i | ||||
\(958\) | 7.23209 | − | 12.5263i | 0.233658 | − | 0.404708i | ||||
\(959\) | −5.94847 | − | 33.7354i | −0.192086 | − | 1.08937i | ||||
\(960\) | 0.173648 | + | 0.984808i | 0.00560447 | + | 0.0317845i | ||||
\(961\) | 9.63213 | − | 16.6833i | 0.310714 | − | 0.538172i | ||||
\(962\) | 9.87814 | + | 17.1094i | 0.318484 | + | 0.551630i | ||||
\(963\) | 5.94915 | − | 4.99193i | 0.191709 | − | 0.160863i | ||||
\(964\) | −13.9290 | + | 5.06973i | −0.448622 | + | 0.163285i | ||||
\(965\) | 23.0057 | + | 8.37338i | 0.740578 | + | 0.269549i | ||||
\(966\) | −0.343684 | − | 0.288385i | −0.0110579 | − | 0.00927864i | ||||
\(967\) | −4.74480 | + | 26.9091i | −0.152582 | + | 0.865338i | 0.808380 | + | 0.588660i | \(0.200344\pi\) |
−0.960963 | + | 0.276677i | \(0.910767\pi\) | |||||||
\(968\) | 0.801540 | 0.0257625 | ||||||||
\(969\) | −0.722896 | − | 0.885319i | −0.0232228 | − | 0.0284405i | ||||
\(970\) | −7.38631 | −0.237160 | ||||||||
\(971\) | −1.00978 | + | 5.72675i | −0.0324054 | + | 0.183780i | −0.996714 | − | 0.0810005i | \(-0.974188\pi\) |
0.964309 | + | 0.264781i | \(0.0852996\pi\) | |||||||
\(972\) | 0.766044 | + | 0.642788i | 0.0245709 | + | 0.0206174i | ||||
\(973\) | −17.8260 | − | 6.48812i | −0.571474 | − | 0.208000i | ||||
\(974\) | 16.0414 | − | 5.83859i | 0.513999 | − | 0.187080i | ||||
\(975\) | −1.25638 | + | 1.05423i | −0.0402363 | + | 0.0337623i | ||||
\(976\) | −1.28532 | − | 2.22625i | −0.0411422 | − | 0.0712604i | ||||
\(977\) | 2.57054 | − | 4.45231i | 0.0822389 | − | 0.142442i | −0.821972 | − | 0.569527i | \(-0.807126\pi\) |
0.904211 | + | 0.427085i | \(0.140460\pi\) | |||||||
\(978\) | −1.61821 | − | 9.17731i | −0.0517445 | − | 0.293458i | ||||
\(979\) | 5.44580 | + | 30.8847i | 0.174049 | + | 0.987079i | ||||
\(980\) | −0.902808 | + | 1.56371i | −0.0288391 | + | 0.0499509i | ||||
\(981\) | 3.39283 | + | 5.87655i | 0.108325 | + | 0.187624i | ||||
\(982\) | −9.51109 | + | 7.98075i | −0.303511 | + | 0.254676i | ||||
\(983\) | −17.7836 | + | 6.47268i | −0.567207 | + | 0.206447i | −0.609675 | − | 0.792651i | \(-0.708700\pi\) |
0.0424681 | + | 0.999098i | \(0.486478\pi\) | |||||||
\(984\) | −5.44021 | − | 1.98007i | −0.173427 | − | 0.0631224i | ||||
\(985\) | −19.1074 | − | 16.0330i | −0.608813 | − | 0.510854i | ||||
\(986\) | 0.220690 | − | 1.25159i | 0.00702820 | − | 0.0398589i | ||||
\(987\) | −9.95278 | −0.316800 | ||||||||
\(988\) | 2.35494 | + | 6.74997i | 0.0749206 | + | 0.214745i | ||||
\(989\) | −0.0912478 | −0.00290151 | ||||||||
\(990\) | 0.596540 | − | 3.38315i | 0.0189593 | − | 0.107523i | ||||
\(991\) | 47.9819 | + | 40.2616i | 1.52420 | + | 1.27895i | 0.827261 | + | 0.561818i | \(0.189898\pi\) |
0.696935 | + | 0.717134i | \(0.254546\pi\) | |||||||
\(992\) | 3.21915 | + | 1.17167i | 0.102208 | + | 0.0372007i | ||||
\(993\) | 14.2742 | − | 5.19537i | 0.452977 | − | 0.164870i | ||||
\(994\) | 10.5047 | − | 8.81451i | 0.333190 | − | 0.279579i | ||||
\(995\) | −3.94724 | − | 6.83682i | −0.125136 | − | 0.216742i | ||||
\(996\) | −3.78497 | + | 6.55577i | −0.119931 | + | 0.207727i | ||||
\(997\) | −8.34247 | − | 47.3125i | −0.264209 | − | 1.49840i | −0.771279 | − | 0.636498i | \(-0.780382\pi\) |
0.507070 | − | 0.861905i | \(-0.330729\pi\) | |||||||
\(998\) | 4.18770 | + | 23.7496i | 0.132559 | + | 0.751782i | ||||
\(999\) | −6.02294 | + | 10.4320i | −0.190557 | + | 0.330055i |
(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 | 570.2.u.i.511.2 | ✓ | 12 | |
19.9 | even | 9 | inner | 570.2.u.i.541.2 | yes | 12 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
570.2.u.i.511.2 | ✓ | 12 | 1.1 | even | 1 | trivial | |
570.2.u.i.541.2 | yes | 12 | 19.9 | even | 9 | inner |