Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [378,2,Mod(43,378)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(378, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([4, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("378.43");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 378 = 2 \cdot 3^{3} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 378.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: | \(3.01834519640\) |
Analytic rank: | \(0\) |
Dimension: | \(36\) |
Relative dimension: | \(6\) over \(\Q(\zeta_{9})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 169.1 | ||
Character | \(\chi\) | \(=\) | 378.169 |
Dual form | 378.2.u.e.85.1 |
$q$-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 \(\left(\mathbb{Z}/378\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(325\) |
\(\chi(n)\) | \(e\left(\frac{8}{9}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.939693 | − | 0.342020i | 0.664463 | − | 0.241845i | ||||
\(3\) | −1.62983 | + | 0.586228i | −0.940981 | + | 0.338459i | ||||
\(4\) | 0.766044 | − | 0.642788i | 0.383022 | − | 0.321394i | ||||
\(5\) | 0.184482 | + | 1.04625i | 0.0825029 | + | 0.467897i | 0.997868 | + | 0.0652713i | \(0.0207913\pi\) |
−0.915365 | + | 0.402626i | \(0.868098\pi\) | |||||||
\(6\) | −1.33103 | + | 1.10831i | −0.543393 | + | 0.452465i | ||||
\(7\) | 0.766044 | + | 0.642788i | 0.289538 | + | 0.242951i | ||||
\(8\) | 0.500000 | − | 0.866025i | 0.176777 | − | 0.306186i | ||||
\(9\) | 2.31267 | − | 1.91090i | 0.770891 | − | 0.636967i | ||||
\(10\) | 0.531195 | + | 0.920056i | 0.167979 | + | 0.290947i | ||||
\(11\) | −0.543294 | + | 3.08117i | −0.163809 | + | 0.929008i | 0.786474 | + | 0.617623i | \(0.211904\pi\) |
−0.950284 | + | 0.311386i | \(0.899207\pi\) | |||||||
\(12\) | −0.871700 | + | 1.49671i | −0.251638 | + | 0.432063i | ||||
\(13\) | 2.26907 | + | 0.825875i | 0.629327 | + | 0.229056i | 0.636938 | − | 0.770915i | \(-0.280201\pi\) |
−0.00761118 | + | 0.999971i | \(0.502423\pi\) | |||||||
\(14\) | 0.939693 | + | 0.342020i | 0.251143 | + | 0.0914087i | ||||
\(15\) | −0.914015 | − | 1.59706i | −0.235998 | − | 0.412358i | ||||
\(16\) | 0.173648 | − | 0.984808i | 0.0434120 | − | 0.246202i | ||||
\(17\) | 3.26347 | + | 5.65249i | 0.791508 | + | 1.37093i | 0.925033 | + | 0.379886i | \(0.124037\pi\) |
−0.133526 | + | 0.991045i | \(0.542630\pi\) | |||||||
\(18\) | 1.51963 | − | 2.58664i | 0.358181 | − | 0.609677i | ||||
\(19\) | −0.751074 | + | 1.30090i | −0.172308 | + | 0.298447i | −0.939226 | − | 0.343298i | \(-0.888456\pi\) |
0.766918 | + | 0.641745i | \(0.221789\pi\) | |||||||
\(20\) | 0.813838 | + | 0.682891i | 0.181980 | + | 0.152699i | ||||
\(21\) | −1.62534 | − | 0.598556i | −0.354678 | − | 0.130616i | ||||
\(22\) | 0.543294 | + | 3.08117i | 0.115831 | + | 0.656908i | ||||
\(23\) | 2.03055 | − | 1.70383i | 0.423399 | − | 0.355274i | −0.406056 | − | 0.913848i | \(-0.633096\pi\) |
0.829454 | + | 0.558575i | \(0.188652\pi\) | |||||||
\(24\) | −0.307225 | + | 1.70459i | −0.0627120 | + | 0.347947i | ||||
\(25\) | 3.63786 | − | 1.32407i | 0.727572 | − | 0.264814i | ||||
\(26\) | 2.41470 | 0.473561 | ||||||||
\(27\) | −2.64903 | + | 4.47019i | −0.509807 | + | 0.860289i | ||||
\(28\) | 1.00000 | 0.188982 | ||||||||
\(29\) | −0.635950 | + | 0.231467i | −0.118093 | + | 0.0429824i | −0.400391 | − | 0.916344i | \(-0.631126\pi\) |
0.282298 | + | 0.959327i | \(0.408903\pi\) | |||||||
\(30\) | −1.40512 | − | 1.18813i | −0.256538 | − | 0.216922i | ||||
\(31\) | −1.62387 | + | 1.36259i | −0.291655 | + | 0.244728i | −0.776861 | − | 0.629672i | \(-0.783189\pi\) |
0.485206 | + | 0.874400i | \(0.338745\pi\) | |||||||
\(32\) | −0.173648 | − | 0.984808i | −0.0306970 | − | 0.174091i | ||||
\(33\) | −0.920795 | − | 5.34027i | −0.160290 | − | 0.929622i | ||||
\(34\) | 4.99993 | + | 4.19544i | 0.857480 | + | 0.719511i | ||||
\(35\) | −0.531195 | + | 0.920056i | −0.0897883 | + | 0.155518i | ||||
\(36\) | 0.543307 | − | 2.95039i | 0.0905511 | − | 0.491732i | ||||
\(37\) | −2.73500 | − | 4.73716i | −0.449631 | − | 0.778784i | 0.548731 | − | 0.835999i | \(-0.315111\pi\) |
−0.998362 | + | 0.0572151i | \(0.981778\pi\) | |||||||
\(38\) | −0.260845 | + | 1.47933i | −0.0423147 | + | 0.239979i | ||||
\(39\) | −4.18235 | − | 0.0158389i | −0.669711 | − | 0.00253625i | ||||
\(40\) | 0.998320 | + | 0.363359i | 0.157848 | + | 0.0574520i | ||||
\(41\) | 1.25302 | + | 0.456064i | 0.195690 | + | 0.0712252i | 0.438006 | − | 0.898972i | \(-0.355685\pi\) |
−0.242316 | + | 0.970197i | \(0.577907\pi\) | |||||||
\(42\) | −1.73204 | − | 0.00655936i | −0.267259 | − | 0.00101213i | ||||
\(43\) | 1.48811 | − | 8.43951i | 0.226935 | − | 1.28701i | −0.632016 | − | 0.774956i | \(-0.717772\pi\) |
0.858951 | − | 0.512058i | \(-0.171117\pi\) | |||||||
\(44\) | 1.56435 | + | 2.70954i | 0.235835 | + | 0.408478i | ||||
\(45\) | 2.42593 | + | 2.06711i | 0.361636 | + | 0.308146i | ||||
\(46\) | 1.32535 | − | 2.29557i | 0.195412 | − | 0.338463i | ||||
\(47\) | −6.38690 | − | 5.35924i | −0.931625 | − | 0.781726i | 0.0444836 | − | 0.999010i | \(-0.485836\pi\) |
−0.976108 | + | 0.217284i | \(0.930280\pi\) | |||||||
\(48\) | 0.294306 | + | 1.70686i | 0.0424794 | + | 0.246365i | ||||
\(49\) | 0.173648 | + | 0.984808i | 0.0248069 | + | 0.140687i | ||||
\(50\) | 2.96561 | − | 2.48844i | 0.419401 | − | 0.351919i | ||||
\(51\) | −8.63254 | − | 7.29945i | −1.20880 | − | 1.02213i | ||||
\(52\) | 2.26907 | − | 0.825875i | 0.314664 | − | 0.114528i | ||||
\(53\) | −2.45812 | −0.337648 | −0.168824 | − | 0.985646i | \(-0.553997\pi\) | ||||
−0.168824 | + | 0.985646i | \(0.553997\pi\) | |||||||
\(54\) | −0.960380 | + | 5.10663i | −0.130691 | + | 0.694924i | ||||
\(55\) | −3.32390 | −0.448195 | ||||||||
\(56\) | 0.939693 | − | 0.342020i | 0.125572 | − | 0.0457044i | ||||
\(57\) | 0.461498 | − | 2.56054i | 0.0611268 | − | 0.339152i | ||||
\(58\) | −0.518432 | + | 0.435016i | −0.0680734 | + | 0.0571204i | ||||
\(59\) | 1.42126 | + | 8.06034i | 0.185032 | + | 1.04937i | 0.925915 | + | 0.377733i | \(0.123296\pi\) |
−0.740883 | + | 0.671634i | \(0.765593\pi\) | |||||||
\(60\) | −1.72674 | − | 0.635899i | −0.222922 | − | 0.0820943i | ||||
\(61\) | −7.39042 | − | 6.20130i | −0.946246 | − | 0.793995i | 0.0324151 | − | 0.999474i | \(-0.489680\pi\) |
−0.978661 | + | 0.205480i | \(0.934125\pi\) | |||||||
\(62\) | −1.05991 | + | 1.83581i | −0.134608 | + | 0.233148i | ||||
\(63\) | 2.99991 | + | 0.0227221i | 0.377954 | + | 0.00286272i | ||||
\(64\) | −0.500000 | − | 0.866025i | −0.0625000 | − | 0.108253i | ||||
\(65\) | −0.445468 | + | 2.52637i | −0.0552535 | + | 0.313358i | ||||
\(66\) | −2.69175 | − | 4.70328i | −0.331331 | − | 0.578934i | ||||
\(67\) | −8.57615 | − | 3.12146i | −1.04774 | − | 0.381348i | −0.239933 | − | 0.970789i | \(-0.577125\pi\) |
−0.807811 | + | 0.589442i | \(0.799348\pi\) | |||||||
\(68\) | 6.13332 | + | 2.23234i | 0.743774 | + | 0.270712i | ||||
\(69\) | −2.31061 | + | 3.96732i | −0.278165 | + | 0.477609i | ||||
\(70\) | −0.184482 | + | 1.04625i | −0.0220498 | + | 0.125051i | ||||
\(71\) | 3.25701 | + | 5.64130i | 0.386536 | + | 0.669500i | 0.991981 | − | 0.126387i | \(-0.0403382\pi\) |
−0.605445 | + | 0.795887i | \(0.707005\pi\) | |||||||
\(72\) | −0.498553 | − | 2.95828i | −0.0587550 | − | 0.348637i | ||||
\(73\) | 2.37064 | − | 4.10606i | 0.277462 | − | 0.480578i | −0.693291 | − | 0.720657i | \(-0.743840\pi\) |
0.970753 | + | 0.240079i | \(0.0771735\pi\) | |||||||
\(74\) | −4.19026 | − | 3.51605i | −0.487108 | − | 0.408732i | ||||
\(75\) | −5.15287 | + | 4.29062i | −0.595002 | + | 0.495439i | ||||
\(76\) | 0.260845 | + | 1.47933i | 0.0299210 | + | 0.169690i | ||||
\(77\) | −2.39673 | + | 2.01109i | −0.273132 | + | 0.229185i | ||||
\(78\) | −3.93554 | + | 1.41556i | −0.445612 | + | 0.160281i | ||||
\(79\) | 5.08023 | − | 1.84905i | 0.571571 | − | 0.208035i | −0.0400340 | − | 0.999198i | \(-0.512747\pi\) |
0.611605 | + | 0.791164i | \(0.290524\pi\) | |||||||
\(80\) | 1.06239 | 0.118779 | ||||||||
\(81\) | 1.69691 | − | 8.83858i | 0.188546 | − | 0.982064i | ||||
\(82\) | 1.33344 | 0.147254 | ||||||||
\(83\) | −14.4780 | + | 5.26957i | −1.58917 | + | 0.578410i | −0.977172 | − | 0.212449i | \(-0.931856\pi\) |
−0.611998 | + | 0.790860i | \(0.709634\pi\) | |||||||
\(84\) | −1.62983 | + | 0.586228i | −0.177829 | + | 0.0639627i | ||||
\(85\) | −5.31187 | + | 4.45719i | −0.576153 | + | 0.483450i | ||||
\(86\) | −1.48811 | − | 8.43951i | −0.160467 | − | 0.910056i | ||||
\(87\) | 0.900797 | − | 0.750063i | 0.0965756 | − | 0.0804152i | ||||
\(88\) | 2.39673 | + | 2.01109i | 0.255492 | + | 0.214383i | ||||
\(89\) | 7.63422 | − | 13.2229i | 0.809225 | − | 1.40162i | −0.104176 | − | 0.994559i | \(-0.533220\pi\) |
0.913401 | − | 0.407061i | \(-0.133446\pi\) | |||||||
\(90\) | 2.98662 | + | 1.11273i | 0.314817 | + | 0.117292i | ||||
\(91\) | 1.20735 | + | 2.09119i | 0.126564 | + | 0.219216i | ||||
\(92\) | 0.460288 | − | 2.61042i | 0.0479883 | − | 0.272155i | ||||
\(93\) | 1.84784 | − | 3.17274i | 0.191612 | − | 0.328998i | ||||
\(94\) | −7.83469 | − | 2.85159i | −0.808087 | − | 0.294119i | ||||
\(95\) | −1.49962 | − | 0.545819i | −0.153858 | − | 0.0559998i | ||||
\(96\) | 0.860339 | + | 1.50327i | 0.0878079 | + | 0.153427i | ||||
\(97\) | 2.85268 | − | 16.1784i | 0.289646 | − | 1.64267i | −0.398554 | − | 0.917145i | \(-0.630488\pi\) |
0.688201 | − | 0.725521i | \(-0.258401\pi\) | |||||||
\(98\) | 0.500000 | + | 0.866025i | 0.0505076 | + | 0.0874818i | ||||
\(99\) | 4.63136 | + | 8.16392i | 0.465469 | + | 0.820505i | ||||
\(100\) | 1.93566 | − | 3.35267i | 0.193566 | − | 0.335267i | ||||
\(101\) | −0.833414 | − | 0.699318i | −0.0829278 | − | 0.0695847i | 0.600381 | − | 0.799714i | \(-0.295015\pi\) |
−0.683309 | + | 0.730129i | \(0.739460\pi\) | |||||||
\(102\) | −10.6085 | − | 3.90674i | −1.05040 | − | 0.386825i | ||||
\(103\) | −0.556135 | − | 3.15400i | −0.0547976 | − | 0.310773i | 0.945073 | − | 0.326859i | \(-0.105990\pi\) |
−0.999871 | + | 0.0160868i | \(0.994879\pi\) | |||||||
\(104\) | 1.84976 | − | 1.55214i | 0.181384 | − | 0.152200i | ||||
\(105\) | 0.326393 | − | 1.81093i | 0.0318527 | − | 0.176729i | ||||
\(106\) | −2.30988 | + | 0.840726i | −0.224355 | + | 0.0816585i | ||||
\(107\) | −2.53568 | −0.245133 | −0.122567 | − | 0.992460i | \(-0.539113\pi\) | ||||
−0.122567 | + | 0.992460i | \(0.539113\pi\) | |||||||
\(108\) | 0.844108 | + | 5.12713i | 0.0812243 | + | 0.493359i | ||||
\(109\) | 15.9825 | 1.53084 | 0.765421 | − | 0.643530i | \(-0.222531\pi\) | ||||
0.765421 | + | 0.643530i | \(0.222531\pi\) | |||||||
\(110\) | −3.12345 | + | 1.13684i | −0.297809 | + | 0.108394i | ||||
\(111\) | 7.23463 | + | 6.11742i | 0.686681 | + | 0.580639i | ||||
\(112\) | 0.766044 | − | 0.642788i | 0.0723844 | − | 0.0607377i | ||||
\(113\) | 2.80305 | + | 15.8969i | 0.263689 | + | 1.49545i | 0.772744 | + | 0.634718i | \(0.218884\pi\) |
−0.509055 | + | 0.860734i | \(0.670005\pi\) | |||||||
\(114\) | −0.442091 | − | 2.56396i | −0.0414056 | − | 0.240137i | ||||
\(115\) | 2.15723 | + | 1.81013i | 0.201163 | + | 0.168796i | ||||
\(116\) | −0.338382 | + | 0.586095i | −0.0314180 | + | 0.0544176i | ||||
\(117\) | 6.82579 | − | 2.42599i | 0.631044 | − | 0.224283i | ||||
\(118\) | 4.09234 | + | 7.08815i | 0.376731 | + | 0.652517i | ||||
\(119\) | −1.13339 | + | 6.42778i | −0.103898 | + | 0.589234i | ||||
\(120\) | −1.84010 | − | 0.00696860i | −0.167977 | − | 0.000636143i | ||||
\(121\) | 1.13817 | + | 0.414258i | 0.103470 | + | 0.0376598i | ||||
\(122\) | −9.06569 | − | 3.29964i | −0.820769 | − | 0.298736i | ||||
\(123\) | −2.30957 | − | 0.00874652i | −0.208247 | − | 0.000788647i | ||||
\(124\) | −0.368101 | + | 2.08761i | −0.0330565 | + | 0.187473i | ||||
\(125\) | 4.71240 | + | 8.16212i | 0.421490 | + | 0.730042i | ||||
\(126\) | 2.82677 | − | 1.00468i | 0.251829 | − | 0.0895039i | ||||
\(127\) | −6.51127 | + | 11.2778i | −0.577781 | + | 1.00075i | 0.417952 | + | 0.908469i | \(0.362748\pi\) |
−0.995733 | + | 0.0922775i | \(0.970585\pi\) | |||||||
\(128\) | −0.766044 | − | 0.642788i | −0.0677094 | − | 0.0568149i | ||||
\(129\) | 2.52211 | + | 14.6273i | 0.222060 | + | 1.28786i | ||||
\(130\) | 0.445468 | + | 2.52637i | 0.0390701 | + | 0.221578i | ||||
\(131\) | 7.38585 | − | 6.19746i | 0.645305 | − | 0.541475i | −0.260338 | − | 0.965518i | \(-0.583834\pi\) |
0.905642 | + | 0.424043i | \(0.139389\pi\) | |||||||
\(132\) | −4.13803 | − | 3.49901i | −0.360169 | − | 0.304550i | ||||
\(133\) | −1.41156 | + | 0.513765i | −0.122398 | + | 0.0445491i | ||||
\(134\) | −9.12655 | −0.788414 | ||||||||
\(135\) | −5.16564 | − | 1.94688i | −0.444587 | − | 0.167561i | ||||
\(136\) | 6.52694 | 0.559680 | ||||||||
\(137\) | −15.8001 | + | 5.75075i | −1.34989 | + | 0.491320i | −0.912913 | − | 0.408153i | \(-0.866173\pi\) |
−0.436977 | + | 0.899473i | \(0.643951\pi\) | |||||||
\(138\) | −0.814359 | + | 4.51833i | −0.0693229 | + | 0.384626i | ||||
\(139\) | 5.16098 | − | 4.33057i | 0.437748 | − | 0.367314i | −0.397118 | − | 0.917768i | \(-0.629990\pi\) |
0.834866 | + | 0.550453i | \(0.185545\pi\) | |||||||
\(140\) | 0.184482 | + | 1.04625i | 0.0155916 | + | 0.0884242i | ||||
\(141\) | 13.5513 | + | 4.99046i | 1.14122 | + | 0.420273i | ||||
\(142\) | 4.99003 | + | 4.18713i | 0.418754 | + | 0.351376i | ||||
\(143\) | −3.77743 | + | 6.54271i | −0.315885 | + | 0.547129i | ||||
\(144\) | −1.48028 | − | 2.60936i | −0.123357 | − | 0.217447i | ||||
\(145\) | −0.359494 | − | 0.622661i | −0.0298543 | − | 0.0517092i | ||||
\(146\) | 0.823313 | − | 4.66924i | 0.0681379 | − | 0.386429i | ||||
\(147\) | −0.860339 | − | 1.50327i | −0.0709595 | − | 0.123988i | ||||
\(148\) | −5.14012 | − | 1.87085i | −0.422515 | − | 0.153783i | ||||
\(149\) | 11.7104 | + | 4.26225i | 0.959357 | + | 0.349177i | 0.773781 | − | 0.633453i | \(-0.218363\pi\) |
0.185575 | + | 0.982630i | \(0.440585\pi\) | |||||||
\(150\) | −3.37464 | + | 5.79425i | −0.275538 | + | 0.473099i | ||||
\(151\) | 3.63005 | − | 20.5870i | 0.295409 | − | 1.67535i | −0.370125 | − | 0.928982i | \(-0.620685\pi\) |
0.665534 | − | 0.746368i | \(-0.268204\pi\) | |||||||
\(152\) | 0.751074 | + | 1.30090i | 0.0609202 | + | 0.105517i | ||||
\(153\) | 18.3487 | + | 6.83620i | 1.48340 | + | 0.552674i | ||||
\(154\) | −1.56435 | + | 2.70954i | −0.126059 | + | 0.218341i | ||||
\(155\) | −1.72518 | − | 1.44760i | −0.138570 | − | 0.116274i | ||||
\(156\) | −3.21404 | + | 2.67623i | −0.257329 | + | 0.214270i | ||||
\(157\) | 1.14868 | + | 6.51449i | 0.0916747 | + | 0.519913i | 0.995716 | + | 0.0924673i | \(0.0294753\pi\) |
−0.904041 | + | 0.427446i | \(0.859414\pi\) | |||||||
\(158\) | 4.14144 | − | 3.47508i | 0.329475 | − | 0.276463i | ||||
\(159\) | 4.00631 | − | 1.44102i | 0.317721 | − | 0.114280i | ||||
\(160\) | 0.998320 | − | 0.363359i | 0.0789241 | − | 0.0287260i | ||||
\(161\) | 2.65069 | 0.208904 | ||||||||
\(162\) | −1.42840 | − | 8.88593i | −0.112225 | − | 0.698144i | ||||
\(163\) | −0.942654 | −0.0738344 | −0.0369172 | − | 0.999318i | \(-0.511754\pi\) | ||||
−0.0369172 | + | 0.999318i | \(0.511754\pi\) | |||||||
\(164\) | 1.25302 | − | 0.456064i | 0.0978448 | − | 0.0356126i | ||||
\(165\) | 5.41739 | − | 1.94857i | 0.421743 | − | 0.151696i | ||||
\(166\) | −11.8026 | + | 9.90355i | −0.916059 | + | 0.768665i | ||||
\(167\) | −3.72664 | − | 21.1348i | −0.288376 | − | 1.63546i | −0.692971 | − | 0.720966i | \(-0.743698\pi\) |
0.404595 | − | 0.914496i | \(-0.367413\pi\) | |||||||
\(168\) | −1.33103 | + | 1.10831i | −0.102692 | + | 0.0855078i | ||||
\(169\) | −5.49196 | − | 4.60830i | −0.422458 | − | 0.354485i | ||||
\(170\) | −3.46708 | + | 6.00515i | −0.265913 | + | 0.460574i | ||||
\(171\) | 0.748900 | + | 4.44378i | 0.0572698 | + | 0.339824i | ||||
\(172\) | −4.28485 | − | 7.42158i | −0.326717 | − | 0.565890i | ||||
\(173\) | 1.59488 | − | 9.04503i | 0.121257 | − | 0.687681i | −0.862204 | − | 0.506561i | \(-0.830917\pi\) |
0.983461 | − | 0.181120i | \(-0.0579722\pi\) | |||||||
\(174\) | 0.589935 | − | 1.01292i | 0.0447229 | − | 0.0767892i | ||||
\(175\) | 3.63786 | + | 1.32407i | 0.274996 | + | 0.100090i | ||||
\(176\) | 2.94002 | + | 1.07008i | 0.221612 | + | 0.0806603i | ||||
\(177\) | −7.04160 | − | 12.3038i | −0.529279 | − | 0.924809i | ||||
\(178\) | 2.65134 | − | 15.0365i | 0.198726 | − | 1.12703i | ||||
\(179\) | −5.64190 | − | 9.77205i | −0.421695 | − | 0.730398i | 0.574410 | − | 0.818568i | \(-0.305231\pi\) |
−0.996105 | + | 0.0881700i | \(0.971898\pi\) | |||||||
\(180\) | 3.18708 | + | 0.0241398i | 0.237551 | + | 0.00179927i | ||||
\(181\) | −2.28832 | + | 3.96348i | −0.170089 | + | 0.294603i | −0.938451 | − | 0.345413i | \(-0.887739\pi\) |
0.768362 | + | 0.640016i | \(0.221072\pi\) | |||||||
\(182\) | 1.84976 | + | 1.55214i | 0.137114 | + | 0.115052i | ||||
\(183\) | 15.6805 | + | 5.77457i | 1.15913 | + | 0.426869i | ||||
\(184\) | −0.460288 | − | 2.61042i | −0.0339329 | − | 0.192443i | ||||
\(185\) | 4.45169 | − | 3.73541i | 0.327295 | − | 0.274633i | ||||
\(186\) | 0.651259 | − | 3.61340i | 0.0477526 | − | 0.264947i | ||||
\(187\) | −19.1893 | + | 6.98435i | −1.40326 | + | 0.510746i | ||||
\(188\) | −8.33750 | −0.608075 | ||||||||
\(189\) | −4.90266 | + | 1.72160i | −0.356616 | + | 0.125228i | ||||
\(190\) | −1.59587 | −0.115776 | ||||||||
\(191\) | −3.47043 | + | 1.26313i | −0.251111 | + | 0.0913970i | −0.464509 | − | 0.885568i | \(-0.653769\pi\) |
0.213398 | + | 0.976965i | \(0.431547\pi\) | |||||||
\(192\) | 1.32260 | + | 1.11836i | 0.0954506 | + | 0.0807105i | ||||
\(193\) | 2.85186 | − | 2.39299i | 0.205281 | − | 0.172251i | −0.534351 | − | 0.845263i | \(-0.679444\pi\) |
0.739632 | + | 0.673011i | \(0.234999\pi\) | |||||||
\(194\) | −2.85268 | − | 16.1784i | −0.204811 | − | 1.16154i | ||||
\(195\) | −0.754996 | − | 4.37870i | −0.0540664 | − | 0.313565i | ||||
\(196\) | 0.766044 | + | 0.642788i | 0.0547175 | + | 0.0459134i | ||||
\(197\) | −4.13815 | + | 7.16748i | −0.294831 | + | 0.510662i | −0.974946 | − | 0.222444i | \(-0.928597\pi\) |
0.680115 | + | 0.733106i | \(0.261930\pi\) | |||||||
\(198\) | 7.14428 | + | 6.08756i | 0.507722 | + | 0.432624i | ||||
\(199\) | 14.0634 | + | 24.3586i | 0.996931 | + | 1.72673i | 0.566267 | + | 0.824222i | \(0.308387\pi\) |
0.430664 | + | 0.902512i | \(0.358279\pi\) | |||||||
\(200\) | 0.672249 | − | 3.81251i | 0.0475352 | − | 0.269585i | ||||
\(201\) | 15.8075 | + | 0.0598644i | 1.11498 | + | 0.00422251i | ||||
\(202\) | −1.02233 | − | 0.372099i | −0.0719312 | − | 0.0261808i | ||||
\(203\) | −0.635950 | − | 0.231467i | −0.0446350 | − | 0.0162458i | ||||
\(204\) | −11.3049 | − | 0.0428126i | −0.791502 | − | 0.00299748i | ||||
\(205\) | −0.245996 | + | 1.39511i | −0.0171811 | + | 0.0974388i | ||||
\(206\) | −1.60133 | − | 2.77358i | −0.111570 | − | 0.193244i | ||||
\(207\) | 1.44014 | − | 7.82059i | 0.100097 | − | 0.543568i | ||||
\(208\) | 1.20735 | − | 2.09119i | 0.0837145 | − | 0.144998i | ||||
\(209\) | −3.60024 | − | 3.02096i | −0.249034 | − | 0.208964i | ||||
\(210\) | −0.312667 | − | 1.81335i | −0.0215761 | − | 0.125133i | ||||
\(211\) | 4.25918 | + | 24.1550i | 0.293214 | + | 1.66290i | 0.674372 | + | 0.738391i | \(0.264414\pi\) |
−0.381158 | + | 0.924510i | \(0.624475\pi\) | |||||||
\(212\) | −1.88303 | + | 1.58005i | −0.129327 | + | 0.108518i | ||||
\(213\) | −8.61545 | − | 7.28500i | −0.590321 | − | 0.499160i | ||||
\(214\) | −2.38276 | + | 0.867253i | −0.162882 | + | 0.0592842i | ||||
\(215\) | 9.10437 | 0.620913 | ||||||||
\(216\) | 2.54678 | + | 4.52923i | 0.173287 | + | 0.308175i | ||||
\(217\) | −2.11981 | −0.143902 | ||||||||
\(218\) | 15.0186 | − | 5.46632i | 1.01719 | − | 0.370226i | ||||
\(219\) | −1.45664 | + | 8.08190i | −0.0984304 | + | 0.546124i | ||||
\(220\) | −2.54626 | + | 2.13656i | −0.171669 | + | 0.144047i | ||||
\(221\) | 2.73679 | + | 15.5211i | 0.184097 | + | 1.04406i | ||||
\(222\) | 8.89061 | + | 3.27410i | 0.596699 | + | 0.219743i | ||||
\(223\) | 0.249324 | + | 0.209207i | 0.0166959 | + | 0.0140096i | 0.651097 | − | 0.758994i | \(-0.274309\pi\) |
−0.634401 | + | 0.773004i | \(0.718753\pi\) | |||||||
\(224\) | 0.500000 | − | 0.866025i | 0.0334077 | − | 0.0578638i | ||||
\(225\) | 5.88301 | − | 10.0137i | 0.392200 | − | 0.667582i | ||||
\(226\) | 8.07105 | + | 13.9795i | 0.536878 | + | 0.929901i | ||||
\(227\) | 2.36825 | − | 13.4310i | 0.157186 | − | 0.891447i | −0.799574 | − | 0.600568i | \(-0.794941\pi\) |
0.956760 | − | 0.290879i | \(-0.0939478\pi\) | |||||||
\(228\) | −1.29236 | − | 2.25813i | −0.0855884 | − | 0.149549i | ||||
\(229\) | −26.5031 | − | 9.64633i | −1.75137 | − | 0.637447i | −0.751617 | − | 0.659599i | \(-0.770726\pi\) |
−0.999755 | + | 0.0221521i | \(0.992948\pi\) | |||||||
\(230\) | 2.64624 | + | 0.963152i | 0.174488 | + | 0.0635084i | ||||
\(231\) | 2.72729 | − | 4.68276i | 0.179443 | − | 0.308103i | ||||
\(232\) | −0.117519 | + | 0.666483i | −0.00771549 | + | 0.0437567i | ||||
\(233\) | 10.0302 | + | 17.3728i | 0.657100 | + | 1.13813i | 0.981363 | + | 0.192164i | \(0.0615506\pi\) |
−0.324262 | + | 0.945967i | \(0.605116\pi\) | |||||||
\(234\) | 5.58440 | − | 4.61425i | 0.365064 | − | 0.301643i | ||||
\(235\) | 4.42884 | − | 7.67097i | 0.288906 | − | 0.500399i | ||||
\(236\) | 6.26983 | + | 5.26102i | 0.408131 | + | 0.342463i | ||||
\(237\) | −7.19593 | + | 5.99181i | −0.467426 | + | 0.389210i | ||||
\(238\) | 1.13339 | + | 6.42778i | 0.0734668 | + | 0.416651i | ||||
\(239\) | 19.7474 | − | 16.5701i | 1.27736 | − | 1.07183i | 0.283754 | − | 0.958897i | \(-0.408420\pi\) |
0.993603 | − | 0.112932i | \(-0.0360242\pi\) | |||||||
\(240\) | −1.73151 | + | 0.622803i | −0.111769 | + | 0.0402017i | ||||
\(241\) | −15.6975 | + | 5.71343i | −1.01117 | + | 0.368034i | −0.793880 | − | 0.608074i | \(-0.791942\pi\) |
−0.217285 | + | 0.976108i | \(0.569720\pi\) | |||||||
\(242\) | 1.21121 | 0.0778595 | ||||||||
\(243\) | 2.41575 | + | 15.4001i | 0.154971 | + | 0.987919i | ||||
\(244\) | −9.64751 | −0.617618 | ||||||||
\(245\) | −0.998320 | + | 0.363359i | −0.0637803 | + | 0.0232141i | ||||
\(246\) | −2.17328 | + | 0.781701i | −0.138563 | + | 0.0498394i | ||||
\(247\) | −2.77862 | + | 2.33154i | −0.176799 | + | 0.148352i | ||||
\(248\) | 0.368101 | + | 2.08761i | 0.0233744 | + | 0.132563i | ||||
\(249\) | 20.5075 | − | 17.0759i | 1.29961 | − | 1.08214i | ||||
\(250\) | 7.21982 | + | 6.05815i | 0.456622 | + | 0.383151i | ||||
\(251\) | 2.76184 | − | 4.78364i | 0.174326 | − | 0.301941i | −0.765602 | − | 0.643314i | \(-0.777559\pi\) |
0.939928 | + | 0.341374i | \(0.110892\pi\) | |||||||
\(252\) | 2.31267 | − | 1.91090i | 0.145685 | − | 0.120375i | ||||
\(253\) | 4.14662 | + | 7.18215i | 0.260696 | + | 0.451538i | ||||
\(254\) | −2.26134 | + | 12.8247i | −0.141889 | + | 0.804693i | ||||
\(255\) | 6.04450 | − | 10.3784i | 0.378521 | − | 0.649921i | ||||
\(256\) | −0.939693 | − | 0.342020i | −0.0587308 | − | 0.0213763i | ||||
\(257\) | −5.47869 | − | 1.99408i | −0.341751 | − | 0.124387i | 0.165442 | − | 0.986219i | \(-0.447095\pi\) |
−0.507194 | + | 0.861832i | \(0.669317\pi\) | |||||||
\(258\) | 7.37285 | + | 12.8826i | 0.459013 | + | 0.802034i | ||||
\(259\) | 0.949855 | − | 5.38690i | 0.0590211 | − | 0.334726i | ||||
\(260\) | 1.28267 | + | 2.22166i | 0.0795481 | + | 0.137781i | ||||
\(261\) | −1.02843 | + | 1.75055i | −0.0636585 | + | 0.108356i | ||||
\(262\) | 4.82077 | − | 8.34982i | 0.297828 | − | 0.515854i | ||||
\(263\) | −8.66170 | − | 7.26803i | −0.534103 | − | 0.448166i | 0.335412 | − | 0.942071i | \(-0.391124\pi\) |
−0.869516 | + | 0.493906i | \(0.835569\pi\) | |||||||
\(264\) | −5.08521 | − | 1.87270i | −0.312973 | − | 0.115257i | ||||
\(265\) | −0.453479 | − | 2.57181i | −0.0278570 | − | 0.157985i | ||||
\(266\) | −1.15071 | + | 0.965562i | −0.0705547 | + | 0.0592024i | ||||
\(267\) | −4.69085 | + | 26.0264i | −0.287075 | + | 1.59279i | ||||
\(268\) | −8.57615 | + | 3.12146i | −0.523872 | + | 0.190674i | ||||
\(269\) | 0.618572 | 0.0377150 | 0.0188575 | − | 0.999822i | \(-0.493997\pi\) | ||||
0.0188575 | + | 0.999822i | \(0.493997\pi\) | |||||||
\(270\) | −5.51998 | − | 0.0627162i | −0.335935 | − | 0.00381679i | ||||
\(271\) | −13.0340 | −0.791758 | −0.395879 | − | 0.918303i | \(-0.629560\pi\) | ||||
−0.395879 | + | 0.918303i | \(0.629560\pi\) | |||||||
\(272\) | 6.13332 | − | 2.23234i | 0.371887 | − | 0.135356i | ||||
\(273\) | −3.19368 | − | 2.70049i | −0.193290 | − | 0.163441i | ||||
\(274\) | −12.8803 | + | 10.8079i | −0.778129 | + | 0.652928i | ||||
\(275\) | 2.10327 | + | 11.9282i | 0.126832 | + | 0.719299i | ||||
\(276\) | 0.780114 | + | 4.52437i | 0.0469573 | + | 0.272335i | ||||
\(277\) | 7.02077 | + | 5.89113i | 0.421837 | + | 0.353964i | 0.828862 | − | 0.559454i | \(-0.188989\pi\) |
−0.407024 | + | 0.913417i | \(0.633433\pi\) | |||||||
\(278\) | 3.36859 | − | 5.83457i | 0.202035 | − | 0.349934i | ||||
\(279\) | −1.15171 | + | 6.25427i | −0.0689509 | + | 0.374434i | ||||
\(280\) | 0.531195 | + | 0.920056i | 0.0317450 | + | 0.0549839i | ||||
\(281\) | 3.56865 | − | 20.2388i | 0.212888 | − | 1.20735i | −0.671647 | − | 0.740872i | \(-0.734413\pi\) |
0.884534 | − | 0.466475i | \(-0.154476\pi\) | |||||||
\(282\) | 14.4409 | + | 0.0546887i | 0.859942 | + | 0.00325667i | ||||
\(283\) | 20.4258 | + | 7.43437i | 1.21419 | + | 0.441928i | 0.868154 | − | 0.496295i | \(-0.165307\pi\) |
0.346032 | + | 0.938223i | \(0.387529\pi\) | |||||||
\(284\) | 6.12117 | + | 2.22792i | 0.363225 | + | 0.132203i | ||||
\(285\) | 2.76410 | + | 0.0104679i | 0.163731 | + | 0.000620063i | ||||
\(286\) | −1.31189 | + | 7.44009i | −0.0775736 | + | 0.439942i | ||||
\(287\) | 0.666720 | + | 1.15479i | 0.0393553 | + | 0.0681653i | ||||
\(288\) | −2.28346 | − | 1.94571i | −0.134554 | − | 0.114652i | ||||
\(289\) | −12.8005 | + | 22.1711i | −0.752969 | + | 1.30418i | ||||
\(290\) | −0.550776 | − | 0.462156i | −0.0323427 | − | 0.0271387i | ||||
\(291\) | 4.83484 | + | 28.0403i | 0.283423 | + | 1.64375i | ||||
\(292\) | −0.823313 | − | 4.66924i | −0.0481807 | − | 0.273247i | ||||
\(293\) | −2.87963 | + | 2.41629i | −0.168230 | + | 0.141161i | −0.723016 | − | 0.690832i | \(-0.757245\pi\) |
0.554786 | + | 0.831993i | \(0.312800\pi\) | |||||||
\(294\) | −1.32260 | − | 1.11836i | −0.0771357 | − | 0.0652239i | ||||
\(295\) | −8.17094 | + | 2.97398i | −0.475730 | + | 0.173152i | ||||
\(296\) | −5.47000 | −0.317937 | ||||||||
\(297\) | −12.3342 | − | 10.5908i | −0.715705 | − | 0.614538i | ||||
\(298\) | 12.4620 | 0.721904 | ||||||||
\(299\) | 6.01461 | − | 2.18914i | 0.347834 | − | 0.126601i | ||||
\(300\) | −1.18937 | + | 6.59901i | −0.0686682 | + | 0.380994i | ||||
\(301\) | 6.56477 | − | 5.50850i | 0.378387 | − | 0.317505i | ||||
\(302\) | −3.63005 | − | 20.5870i | −0.208886 | − | 1.18465i | ||||
\(303\) | 1.76828 | + | 0.651196i | 0.101585 | + | 0.0374102i | ||||
\(304\) | 1.15071 | + | 0.965562i | 0.0659979 | + | 0.0553788i | ||||
\(305\) | 5.12471 | − | 8.87625i | 0.293440 | − | 0.508253i | ||||
\(306\) | 19.5803 | + | 0.148306i | 1.11933 | + | 0.00847809i | ||||
\(307\) | −2.24475 | − | 3.88802i | −0.128115 | − | 0.221901i | 0.794831 | − | 0.606830i | \(-0.207559\pi\) |
−0.922946 | + | 0.384929i | \(0.874226\pi\) | |||||||
\(308\) | −0.543294 | + | 3.08117i | −0.0309570 | + | 0.175566i | ||||
\(309\) | 2.75537 | + | 4.81445i | 0.156747 | + | 0.273884i | ||||
\(310\) | −2.11625 | − | 0.770251i | −0.120195 | − | 0.0437473i | ||||
\(311\) | −13.4163 | − | 4.88314i | −0.760770 | − | 0.276898i | −0.0676395 | − | 0.997710i | \(-0.521547\pi\) |
−0.693130 | + | 0.720812i | \(0.743769\pi\) | |||||||
\(312\) | −2.10489 | + | 3.61410i | −0.119166 | + | 0.204608i | ||||
\(313\) | −1.26506 | + | 7.17451i | −0.0715054 | + | 0.405528i | 0.927955 | + | 0.372691i | \(0.121565\pi\) |
−0.999461 | + | 0.0328360i | \(0.989546\pi\) | |||||||
\(314\) | 3.30749 | + | 5.72875i | 0.186653 | + | 0.323292i | ||||
\(315\) | 0.529657 | + | 3.14285i | 0.0298428 | + | 0.177080i | ||||
\(316\) | 2.70313 | − | 4.68197i | 0.152063 | − | 0.263381i | ||||
\(317\) | −25.0340 | − | 21.0060i | −1.40605 | − | 1.17982i | −0.958337 | − | 0.285641i | \(-0.907794\pi\) |
−0.447714 | − | 0.894177i | \(-0.647762\pi\) | |||||||
\(318\) | 3.27184 | − | 2.72435i | 0.183476 | − | 0.152774i | ||||
\(319\) | −0.367682 | − | 2.08523i | −0.0205862 | − | 0.116750i | ||||
\(320\) | 0.813838 | − | 0.682891i | 0.0454949 | − | 0.0381748i | ||||
\(321\) | 4.13272 | − | 1.48649i | 0.230666 | − | 0.0829675i | ||||
\(322\) | 2.49084 | − | 0.906590i | 0.138809 | − | 0.0505223i | ||||
\(323\) | −9.80443 | −0.545533 | ||||||||
\(324\) | −4.38142 | − | 7.86150i | −0.243412 | − | 0.436750i | ||||
\(325\) | 9.34808 | 0.518538 | ||||||||
\(326\) | −0.885805 | + | 0.322407i | −0.0490602 | + | 0.0178565i | ||||
\(327\) | −26.0486 | + | 9.36937i | −1.44049 | + | 0.518127i | ||||
\(328\) | 1.02147 | − | 0.857119i | 0.0564015 | − | 0.0473265i | ||||
\(329\) | −1.44779 | − | 8.21084i | −0.0798194 | − | 0.452678i | ||||
\(330\) | 4.42423 | − | 3.68391i | 0.243546 | − | 0.202792i | ||||
\(331\) | 22.4182 | + | 18.8111i | 1.23221 | + | 1.03395i | 0.998092 | + | 0.0617440i | \(0.0196662\pi\) |
0.234123 | + | 0.972207i | \(0.424778\pi\) | |||||||
\(332\) | −7.70360 | + | 13.3430i | −0.422790 | + | 0.732293i | ||||
\(333\) | −15.3774 | − | 5.72918i | −0.842676 | − | 0.313957i | ||||
\(334\) | −10.7304 | − | 18.5857i | −0.587143 | − | 1.01696i | ||||
\(335\) | 1.68368 | − | 9.54865i | 0.0919895 | − | 0.521698i | ||||
\(336\) | −0.871700 | + | 1.49671i | −0.0475551 | + | 0.0816522i | ||||
\(337\) | −21.0364 | − | 7.65662i | −1.14593 | − | 0.417083i | −0.301875 | − | 0.953347i | \(-0.597613\pi\) |
−0.844050 | + | 0.536265i | \(0.819835\pi\) | |||||||
\(338\) | −6.73689 | − | 2.45203i | −0.366438 | − | 0.133373i | ||||
\(339\) | −13.8877 | − | 24.2659i | −0.754275 | − | 1.31794i | ||||
\(340\) | −1.20410 | + | 6.82881i | −0.0653016 | + | 0.370344i | ||||
\(341\) | −3.31613 | − | 5.74370i | −0.179578 | − | 0.311039i | ||||
\(342\) | 2.22360 | + | 3.91965i | 0.120238 | + | 0.211950i | ||||
\(343\) | −0.500000 | + | 0.866025i | −0.0269975 | + | 0.0467610i | ||||
\(344\) | −6.56477 | − | 5.50850i | −0.353949 | − | 0.296998i | ||||
\(345\) | −4.57707 | − | 1.68557i | −0.246421 | − | 0.0907483i | ||||
\(346\) | −1.59488 | − | 9.04503i | −0.0857414 | − | 0.486264i | ||||
\(347\) | −10.5775 | + | 8.87555i | −0.567828 | + | 0.476464i | −0.880924 | − | 0.473257i | \(-0.843078\pi\) |
0.313096 | + | 0.949721i | \(0.398634\pi\) | |||||||
\(348\) | 0.207919 | − | 1.15360i | 0.0111456 | − | 0.0618396i | ||||
\(349\) | −20.1452 | + | 7.33227i | −1.07835 | + | 0.392487i | −0.819293 | − | 0.573375i | \(-0.805634\pi\) |
−0.259057 | + | 0.965862i | \(0.583412\pi\) | |||||||
\(350\) | 3.87133 | 0.206931 | ||||||||
\(351\) | −9.70266 | + | 7.95542i | −0.517890 | + | 0.424629i | ||||
\(352\) | 3.12870 | 0.166760 | ||||||||
\(353\) | 15.0775 | − | 5.48777i | 0.802495 | − | 0.292084i | 0.0919750 | − | 0.995761i | \(-0.470682\pi\) |
0.710520 | + | 0.703677i | \(0.248460\pi\) | |||||||
\(354\) | −10.8251 | − | 9.15341i | −0.575347 | − | 0.486498i | ||||
\(355\) | −5.30135 | + | 4.44836i | −0.281367 | + | 0.236095i | ||||
\(356\) | −2.65134 | − | 15.0365i | −0.140521 | − | 0.796932i | ||||
\(357\) | −1.92091 | − | 11.1406i | −0.101666 | − | 0.589623i | ||||
\(358\) | −8.64389 | − | 7.25308i | −0.456844 | − | 0.383337i | ||||
\(359\) | 9.88474 | − | 17.1209i | 0.521697 | − | 0.903605i | −0.477985 | − | 0.878368i | \(-0.658633\pi\) |
0.999681 | − | 0.0252372i | \(-0.00803412\pi\) | |||||||
\(360\) | 3.00313 | − | 1.06736i | 0.158279 | − | 0.0562549i | ||||
\(361\) | 8.37178 | + | 14.5003i | 0.440620 | + | 0.763176i | ||||
\(362\) | −0.794724 | + | 4.50710i | −0.0417697 | + | 0.236888i | ||||
\(363\) | −2.09786 | − | 0.00794477i | −0.110109 | − | 0.000416992i | ||||
\(364\) | 2.26907 | + | 0.825875i | 0.118932 | + | 0.0432876i | ||||
\(365\) | 4.73330 | + | 1.72278i | 0.247752 | + | 0.0901745i | ||||
\(366\) | 16.7099 | + | 0.0632815i | 0.873438 | + | 0.00330778i | ||||
\(367\) | 4.38594 | − | 24.8739i | 0.228944 | − | 1.29841i | −0.626055 | − | 0.779779i | \(-0.715332\pi\) |
0.855000 | − | 0.518629i | \(-0.173557\pi\) | |||||||
\(368\) | −1.32535 | − | 2.29557i | −0.0690885 | − | 0.119665i | ||||
\(369\) | 3.76933 | − | 1.33968i | 0.196223 | − | 0.0697410i | ||||
\(370\) | 2.90564 | − | 5.03271i | 0.151057 | − | 0.261638i | ||||
\(371\) | −1.88303 | − | 1.58005i | −0.0977619 | − | 0.0820320i | ||||
\(372\) | −0.623872 | − | 3.61823i | −0.0323463 | − | 0.187596i | ||||
\(373\) | −4.20773 | − | 23.8632i | −0.217868 | − | 1.23559i | −0.875860 | − | 0.482566i | \(-0.839705\pi\) |
0.657991 | − | 0.753025i | \(-0.271406\pi\) | |||||||
\(374\) | −15.6433 | + | 13.1263i | −0.808895 | + | 0.678744i | ||||
\(375\) | −12.4653 | − | 10.5403i | −0.643704 | − | 0.544299i | ||||
\(376\) | −7.83469 | + | 2.85159i | −0.404043 | + | 0.147060i | ||||
\(377\) | −1.63418 | −0.0841646 | ||||||||
\(378\) | −4.01817 | + | 3.29458i | −0.206672 | + | 0.169455i | ||||
\(379\) | 7.75804 | 0.398504 | 0.199252 | − | 0.979948i | \(-0.436149\pi\) | ||||
0.199252 | + | 0.979948i | \(0.436149\pi\) | |||||||
\(380\) | −1.49962 | + | 0.545819i | −0.0769291 | + | 0.0279999i | ||||
\(381\) | 4.00085 | − | 22.1980i | 0.204970 | − | 1.13724i | ||||
\(382\) | −2.82912 | + | 2.37391i | −0.144750 | + | 0.121460i | ||||
\(383\) | −5.70755 | − | 32.3691i | −0.291642 | − | 1.65398i | −0.680545 | − | 0.732706i | \(-0.738257\pi\) |
0.388903 | − | 0.921279i | \(-0.372854\pi\) | |||||||
\(384\) | 1.62534 | + | 0.598556i | 0.0829428 | + | 0.0305449i | ||||
\(385\) | −2.54626 | − | 2.13656i | −0.129769 | − | 0.108889i | ||||
\(386\) | 1.86142 | − | 3.22407i | 0.0947437 | − | 0.164101i | ||||
\(387\) | −12.6856 | − | 22.3615i | −0.644843 | − | 1.13670i | ||||
\(388\) | −8.21398 | − | 14.2270i | −0.417002 | − | 0.722268i | ||||
\(389\) | −2.84323 | + | 16.1247i | −0.144157 | + | 0.817557i | 0.823883 | + | 0.566761i | \(0.191804\pi\) |
−0.968040 | + | 0.250796i | \(0.919308\pi\) | |||||||
\(390\) | −2.20707 | − | 3.85641i | −0.111759 | − | 0.195277i | ||||
\(391\) | 16.2575 | + | 5.91726i | 0.822179 | + | 0.299249i | ||||
\(392\) | 0.939693 | + | 0.342020i | 0.0474616 | + | 0.0172746i | ||||
\(393\) | −8.40453 | + | 14.4306i | −0.423952 | + | 0.727927i | ||||
\(394\) | −1.43716 | + | 8.15056i | −0.0724033 | + | 0.410619i | ||||
\(395\) | 2.87178 | + | 4.97407i | 0.144495 | + | 0.250273i | ||||
\(396\) | 8.79549 | + | 3.27695i | 0.441990 | + | 0.164673i | ||||
\(397\) | −8.78309 | + | 15.2128i | −0.440811 | + | 0.763506i | −0.997750 | − | 0.0670470i | \(-0.978642\pi\) |
0.556939 | + | 0.830553i | \(0.311976\pi\) | |||||||
\(398\) | 21.5464 | + | 18.0796i | 1.08003 | + | 0.906249i | ||||
\(399\) | 1.99941 | − | 1.66484i | 0.100096 | − | 0.0833464i | ||||
\(400\) | −0.672249 | − | 3.81251i | −0.0336125 | − | 0.190626i | ||||
\(401\) | 0.662550 | − | 0.555945i | 0.0330862 | − | 0.0277626i | −0.626095 | − | 0.779747i | \(-0.715348\pi\) |
0.659181 | + | 0.751985i | \(0.270903\pi\) | |||||||
\(402\) | 14.8747 | − | 5.35024i | 0.741883 | − | 0.266846i | ||||
\(403\) | −4.81000 | + | 1.75070i | −0.239603 | + | 0.0872084i | ||||
\(404\) | −1.08795 | −0.0541273 | ||||||||
\(405\) | 9.56041 | + | 0.144834i | 0.475061 | + | 0.00719688i | ||||
\(406\) | −0.676764 | −0.0335873 | ||||||||
\(407\) | 16.0819 | − | 5.85334i | 0.797151 | − | 0.290139i | ||||
\(408\) | −10.6378 | + | 3.82628i | −0.526649 | + | 0.189429i | ||||
\(409\) | −13.0344 | + | 10.9371i | −0.644508 | + | 0.540806i | −0.905399 | − | 0.424562i | \(-0.860428\pi\) |
0.260891 | + | 0.965368i | \(0.415984\pi\) | |||||||
\(410\) | 0.245996 | + | 1.39511i | 0.0121489 | + | 0.0688997i | ||||
\(411\) | 22.3801 | − | 18.6352i | 1.10393 | − | 0.919205i | ||||
\(412\) | −2.45337 | − | 2.05863i | −0.120869 | − | 0.101421i | ||||
\(413\) | −4.09234 | + | 7.08815i | −0.201371 | + | 0.348785i | ||||
\(414\) | −1.32151 | − | 7.84150i | −0.0649487 | − | 0.385389i | ||||
\(415\) | −8.18422 | − | 14.1755i | −0.401748 | − | 0.695847i | ||||
\(416\) | 0.419308 | − | 2.37801i | 0.0205582 | − | 0.116592i | ||||
\(417\) | −5.87280 | + | 10.0836i | −0.287592 | + | 0.493796i | ||||
\(418\) | −4.41635 | − | 1.60742i | −0.216011 | − | 0.0786214i | ||||
\(419\) | −21.5593 | − | 7.84695i | −1.05324 | − | 0.383349i | −0.243356 | − | 0.969937i | \(-0.578248\pi\) |
−0.809885 | + | 0.586588i | \(0.800471\pi\) | |||||||
\(420\) | −0.914015 | − | 1.59706i | −0.0445994 | − | 0.0779284i | ||||
\(421\) | 5.48117 | − | 31.0853i | 0.267136 | − | 1.51500i | −0.495747 | − | 0.868467i | \(-0.665106\pi\) |
0.762883 | − | 0.646536i | \(-0.223783\pi\) | |||||||
\(422\) | 12.2638 | + | 21.2416i | 0.596994 | + | 1.03402i | ||||
\(423\) | −25.0118 | − | 0.189446i | −1.21611 | − | 0.00921117i | ||||
\(424\) | −1.22906 | + | 2.12879i | −0.0596884 | + | 0.103383i | ||||
\(425\) | 19.3564 | + | 16.2419i | 0.938921 | + | 0.787848i | ||||
\(426\) | −10.5875 | − | 3.89900i | −0.512966 | − | 0.188907i | ||||
\(427\) | −1.67527 | − | 9.50094i | −0.0810721 | − | 0.459783i | ||||
\(428\) | −1.94244 | + | 1.62990i | −0.0938915 | + | 0.0787843i | ||||
\(429\) | 2.32104 | − | 12.8779i | 0.112061 | − | 0.621752i | ||||
\(430\) | 8.55530 | − | 3.11388i | 0.412573 | − | 0.150164i | ||||
\(431\) | −23.4733 | −1.13067 | −0.565334 | − | 0.824862i | \(-0.691253\pi\) | ||||
−0.565334 | + | 0.824862i | \(0.691253\pi\) | |||||||
\(432\) | 3.94228 | + | 3.38503i | 0.189673 | + | 0.162862i | ||||
\(433\) | −30.0449 | −1.44386 | −0.721932 | − | 0.691964i | \(-0.756746\pi\) | ||||
−0.721932 | + | 0.691964i | \(0.756746\pi\) | |||||||
\(434\) | −1.99197 | + | 0.725018i | −0.0956176 | + | 0.0348020i | ||||
\(435\) | 0.950934 | + | 0.804085i | 0.0455938 | + | 0.0385529i | ||||
\(436\) | 12.2433 | − | 10.2733i | 0.586346 | − | 0.492003i | ||||
\(437\) | 0.691421 | + | 3.92124i | 0.0330751 | + | 0.187578i | ||||
\(438\) | 1.39538 | + | 8.09270i | 0.0666740 | + | 0.386684i | ||||
\(439\) | 22.2835 | + | 18.6980i | 1.06353 | + | 0.892409i | 0.994451 | − | 0.105202i | \(-0.0335489\pi\) |
0.0690808 | + | 0.997611i | \(0.477993\pi\) | |||||||
\(440\) | −1.66195 | + | 2.87858i | −0.0792304 | + | 0.137231i | ||||
\(441\) | 2.28346 | + | 1.94571i | 0.108736 | + | 0.0926530i | ||||
\(442\) | 7.88029 | + | 13.6491i | 0.374827 | + | 0.649219i | ||||
\(443\) | −5.53935 | + | 31.4152i | −0.263182 | + | 1.49258i | 0.510979 | + | 0.859593i | \(0.329283\pi\) |
−0.774162 | + | 0.632988i | \(0.781828\pi\) | |||||||
\(444\) | 9.47425 | + | 0.0358797i | 0.449628 | + | 0.00170278i | ||||
\(445\) | 15.2428 | + | 5.54792i | 0.722577 | + | 0.262997i | ||||
\(446\) | 0.305841 | + | 0.111317i | 0.0144820 | + | 0.00527101i | ||||
\(447\) | −21.5847 | − | 0.0817427i | −1.02092 | − | 0.00386630i | ||||
\(448\) | 0.173648 | − | 0.984808i | 0.00820411 | − | 0.0465278i | ||||
\(449\) | −8.51294 | − | 14.7449i | −0.401751 | − | 0.695853i | 0.592187 | − | 0.805801i | \(-0.298265\pi\) |
−0.993937 | + | 0.109948i | \(0.964931\pi\) | |||||||
\(450\) | 2.10332 | − | 11.4219i | 0.0991514 | − | 0.538435i | ||||
\(451\) | −2.08597 | + | 3.61301i | −0.0982245 | + | 0.170130i | ||||
\(452\) | 12.3656 | + | 10.3759i | 0.581628 | + | 0.488043i | ||||
\(453\) | 6.15235 | + | 35.6814i | 0.289063 | + | 1.67646i | ||||
\(454\) | −2.36825 | − | 13.4310i | −0.111147 | − | 0.630349i | ||||
\(455\) | −1.96517 | + | 1.64897i | −0.0921286 | + | 0.0773051i | ||||
\(456\) | −1.98674 | − | 1.67994i | −0.0930378 | − | 0.0786703i | ||||
\(457\) | −14.6816 | + | 5.34368i | −0.686778 | + | 0.249967i | −0.661755 | − | 0.749720i | \(-0.730188\pi\) |
−0.0250231 | + | 0.999687i | \(0.507966\pi\) | |||||||
\(458\) | −28.2040 | −1.31789 | ||||||||
\(459\) | −33.9128 | − | 0.385306i | −1.58291 | − | 0.0179845i | ||||
\(460\) | 2.81607 | 0.131300 | ||||||||
\(461\) | −16.0085 | + | 5.82663i | −0.745591 | + | 0.271373i | −0.686749 | − | 0.726894i | \(-0.740963\pi\) |
−0.0588418 | + | 0.998267i | \(0.518741\pi\) | |||||||
\(462\) | 0.961216 | − | 5.33314i | 0.0447198 | − | 0.248120i | ||||
\(463\) | 18.8665 | − | 15.8308i | 0.876799 | − | 0.735721i | −0.0887197 | − | 0.996057i | \(-0.528278\pi\) |
0.965518 | + | 0.260335i | \(0.0838331\pi\) | |||||||
\(464\) | 0.117519 | + | 0.666483i | 0.00545568 | + | 0.0309407i | ||||
\(465\) | 3.66037 | + | 1.34799i | 0.169746 | + | 0.0625114i | ||||
\(466\) | 15.3672 | + | 12.8946i | 0.711870 | + | 0.597330i | ||||
\(467\) | 5.87972 | − | 10.1840i | 0.272081 | − | 0.471258i | −0.697314 | − | 0.716766i | \(-0.745622\pi\) |
0.969394 | + | 0.245508i | \(0.0789549\pi\) | |||||||
\(468\) | 3.66946 | − | 6.24595i | 0.169621 | − | 0.288719i | ||||
\(469\) | −4.56328 | − | 7.90382i | −0.210712 | − | 0.364965i | ||||
\(470\) | 1.53812 | − | 8.72311i | 0.0709482 | − | 0.402367i | ||||
\(471\) | −5.69113 | − | 9.94410i | −0.262233 | − | 0.458200i | ||||
\(472\) | 7.69109 | + | 2.79933i | 0.354011 | + | 0.128850i | ||||
\(473\) | 25.1951 | + | 9.17027i | 1.15847 | + | 0.421649i | ||||
\(474\) | −4.71264 | + | 8.09161i | −0.216459 | + | 0.371660i | ||||
\(475\) | −1.00982 | + | 5.72696i | −0.0463336 | + | 0.262771i | ||||
\(476\) | 3.26347 | + | 5.65249i | 0.149581 | + | 0.259082i | ||||
\(477\) | −5.68482 | + | 4.69722i | −0.260290 | + | 0.215071i | ||||
\(478\) | 12.8892 | − | 22.3248i | 0.589540 | − | 1.02111i | ||||
\(479\) | 15.8563 | + | 13.3051i | 0.724495 | + | 0.607924i | 0.928625 | − | 0.371020i | \(-0.120992\pi\) |
−0.204130 | + | 0.978944i | \(0.565436\pi\) | |||||||
\(480\) | −1.41408 | + | 1.17746i | −0.0645435 | + | 0.0537432i | ||||
\(481\) | −2.29361 | − | 13.0077i | −0.104580 | − | 0.593101i | ||||
\(482\) | −12.7967 | + | 10.7377i | −0.582875 | + | 0.489090i | ||||
\(483\) | −4.32017 | + | 1.55391i | −0.196575 | + | 0.0707054i | ||||
\(484\) | 1.13817 | − | 0.414258i | 0.0517348 | − | 0.0188299i | ||||
\(485\) | 17.4529 | 0.792495 | ||||||||
\(486\) | 7.53722 | + | 13.6452i | 0.341895 | + | 0.618957i | ||||
\(487\) | 9.13931 | 0.414142 | 0.207071 | − | 0.978326i | \(-0.433607\pi\) | ||||
0.207071 | + | 0.978326i | \(0.433607\pi\) | |||||||
\(488\) | −9.06569 | + | 3.29964i | −0.410385 | + | 0.149368i | ||||
\(489\) | 1.53636 | − | 0.552611i | 0.0694768 | − | 0.0249899i | ||||
\(490\) | −0.813838 | + | 0.682891i | −0.0367654 | + | 0.0308499i | ||||
\(491\) | 2.95842 | + | 16.7780i | 0.133512 | + | 0.757182i | 0.975885 | + | 0.218287i | \(0.0700470\pi\) |
−0.842373 | + | 0.538895i | \(0.818842\pi\) | |||||||
\(492\) | −1.77486 | + | 1.47786i | −0.0800167 | + | 0.0666272i | ||||
\(493\) | −3.38377 | − | 2.83932i | −0.152397 | − | 0.127877i | ||||
\(494\) | −1.81362 | + | 3.14127i | −0.0815984 | + | 0.141333i | ||||
\(495\) | −7.68710 | + | 6.35165i | −0.345509 | + | 0.285485i | ||||
\(496\) | 1.05991 | + | 1.83581i | 0.0475911 | + | 0.0824303i | ||||
\(497\) | −1.13115 | + | 6.41505i | −0.0507389 | + | 0.287754i | ||||
\(498\) | 13.4304 | − | 23.0601i | 0.601833 | − | 1.03335i | ||||
\(499\) | 38.8888 | + | 14.1544i | 1.74090 | + | 0.633637i | 0.999308 | − | 0.0372091i | \(-0.0118468\pi\) |
0.741596 | + | 0.670846i | \(0.234069\pi\) | |||||||
\(500\) | 8.85642 | + | 3.22347i | 0.396071 | + | 0.144158i | ||||
\(501\) | 18.4636 | + | 32.2615i | 0.824893 | + | 1.44134i | ||||
\(502\) | 0.959175 | − | 5.43975i | 0.0428101 | − | 0.242788i | ||||
\(503\) | 5.26812 | + | 9.12465i | 0.234894 | + | 0.406848i | 0.959242 | − | 0.282587i | \(-0.0911924\pi\) |
−0.724348 | + | 0.689434i | \(0.757859\pi\) | |||||||
\(504\) | 1.51963 | − | 2.58664i | 0.0676899 | − | 0.115218i | ||||
\(505\) | 0.577911 | − | 1.00097i | 0.0257167 | − | 0.0445426i | ||||
\(506\) | 6.35299 | + | 5.33079i | 0.282425 | + | 0.236982i | ||||
\(507\) | 11.6525 | + | 4.29119i | 0.517504 | + | 0.190579i | ||||
\(508\) | 2.26134 | + | 12.8247i | 0.100331 | + | 0.569004i | ||||
\(509\) | 7.15833 | − | 6.00655i | 0.317288 | − | 0.266236i | −0.470209 | − | 0.882555i | \(-0.655821\pi\) |
0.787496 | + | 0.616319i | \(0.211377\pi\) | |||||||
\(510\) | 2.13035 | − | 11.8199i | 0.0943333 | − | 0.523392i | ||||
\(511\) | 4.45534 | − | 1.62161i | 0.197092 | − | 0.0717358i | ||||
\(512\) | −1.00000 | −0.0441942 | ||||||||
\(513\) | −3.82565 | − | 6.80357i | −0.168906 | − | 0.300385i | ||||
\(514\) | −5.83030 | −0.257164 | ||||||||
\(515\) | 3.19727 | − | 1.16371i | 0.140889 | − | 0.0512793i | ||||
\(516\) | 11.3343 | + | 9.58399i | 0.498965 | + | 0.421912i | ||||
\(517\) | 19.9827 | − | 16.7675i | 0.878839 | − | 0.737433i | ||||
\(518\) | −0.949855 | − | 5.38690i | −0.0417343 | − | 0.236687i | ||||
\(519\) | 2.70307 | + | 15.6768i | 0.118651 | + | 0.688135i | ||||
\(520\) | 1.96517 | + | 1.64897i | 0.0861784 | + | 0.0723123i | ||||
\(521\) | −2.79119 | + | 4.83447i | −0.122284 | + | 0.211802i | −0.920668 | − | 0.390346i | \(-0.872355\pi\) |
0.798384 | + | 0.602149i | \(0.205689\pi\) | |||||||
\(522\) | −0.367690 | + | 1.99672i | −0.0160934 | + | 0.0873941i | ||||
\(523\) | −5.25249 | − | 9.09758i | −0.229675 | − | 0.397809i | 0.728037 | − | 0.685538i | \(-0.240433\pi\) |
−0.957712 | + | 0.287729i | \(0.907100\pi\) | |||||||
\(524\) | 1.67424 | − | 9.49506i | 0.0731393 | − | 0.414794i | ||||
\(525\) | −6.70529 | − | 0.0253934i | −0.292643 | − | 0.00110826i | ||||
\(526\) | −10.6251 | − | 3.86724i | −0.463278 | − | 0.168620i | ||||
\(527\) | −13.0015 | − | 4.73215i | −0.566353 | − | 0.206136i | ||||
\(528\) | −5.41904 | − | 0.0205223i | −0.235833 | − | 0.000893119i | ||||
\(529\) | −2.77383 | + | 15.7311i | −0.120601 | + | 0.683963i | ||||
\(530\) | −1.30574 | − | 2.26161i | −0.0567177 | − | 0.0982379i | ||||
\(531\) | 18.6894 | + | 15.9251i | 0.811052 | + | 0.691089i | ||||
\(532\) | −0.751074 | + | 1.30090i | −0.0325632 | + | 0.0564011i | ||||
\(533\) | 2.46655 | + | 2.06968i | 0.106838 | + | 0.0896479i | ||||
\(534\) | 4.49359 | + | 26.0611i | 0.194456 | + | 1.12778i | ||||
\(535\) | −0.467787 | − | 2.65295i | −0.0202242 | − | 0.114697i | ||||
\(536\) | −6.99134 | + | 5.86643i | −0.301980 | + | 0.253391i | ||||
\(537\) | 14.9240 | + | 12.6193i | 0.644017 | + | 0.544564i | ||||
\(538\) | 0.581267 | − | 0.211564i | 0.0250602 | − | 0.00912117i | ||||
\(539\) | −3.12870 | −0.134763 | ||||||||
\(540\) | −5.20854 | + | 1.82901i | −0.224140 | + | 0.0787081i | ||||
\(541\) | 23.3130 | 1.00230 | 0.501152 | − | 0.865360i | \(-0.332910\pi\) | ||||
0.501152 | + | 0.865360i | \(0.332910\pi\) | |||||||
\(542\) | −12.2479 | + | 4.45789i | −0.526094 | + | 0.191483i | ||||
\(543\) | 1.40606 | − | 7.80126i | 0.0603396 | − | 0.334784i | ||||
\(544\) | 4.99993 | − | 4.19544i | 0.214370 | − | 0.179878i | ||||
\(545\) | 2.94848 | + | 16.7216i | 0.126299 | + | 0.716276i | ||||
\(546\) | −3.92470 | − | 1.44533i | −0.167962 | − | 0.0618544i | ||||
\(547\) | −7.23273 | − | 6.06898i | −0.309249 | − | 0.259491i | 0.474933 | − | 0.880022i | \(-0.342472\pi\) |
−0.784182 | + | 0.620531i | \(0.786917\pi\) | |||||||
\(548\) | −8.40704 | + | 14.5614i | −0.359131 | + | 0.622033i | ||||
\(549\) | −28.9417 | − | 0.219212i | −1.23520 | − | 0.00935574i | ||||
\(550\) | 6.05612 | + | 10.4895i | 0.258234 | + | 0.447274i | ||||
\(551\) | 0.176531 | − | 1.00116i | 0.00752047 | − | 0.0426507i | ||||
\(552\) | 2.28049 | + | 3.98470i | 0.0970642 | + | 0.169600i | ||||
\(553\) | 5.08023 | + | 1.84905i | 0.216033 | + | 0.0786297i | ||||
\(554\) | 8.61226 | + | 3.13460i | 0.365900 | + | 0.133177i | ||||
\(555\) | −5.06568 | + | 8.69778i | −0.215026 | + | 0.369200i | ||||
\(556\) | 1.16990 | − | 6.63482i | 0.0496147 | − | 0.281379i | ||||
\(557\) | 9.79046 | + | 16.9576i | 0.414835 | + | 0.718515i | 0.995411 | − | 0.0956908i | \(-0.0305060\pi\) |
−0.580576 | + | 0.814206i | \(0.697173\pi\) | |||||||
\(558\) | 1.05684 | + | 6.27100i | 0.0447395 | + | 0.265473i | ||||
\(559\) | 10.3466 | − | 17.9209i | 0.437615 | − | 0.757972i | ||||
\(560\) | 0.813838 | + | 0.682891i | 0.0343909 | + | 0.0288574i | ||||
\(561\) | 27.1809 | − | 22.6326i | 1.14758 | − | 0.955549i | ||||
\(562\) | −3.56865 | − | 20.2388i | −0.150534 | − | 0.853723i | ||||
\(563\) | 5.52236 | − | 4.63381i | 0.232740 | − | 0.195292i | −0.518958 | − | 0.854800i | \(-0.673680\pi\) |
0.751697 | + | 0.659508i | \(0.229235\pi\) | |||||||
\(564\) | 13.5887 | − | 4.88768i | 0.572187 | − | 0.205808i | ||||
\(565\) | −16.1150 | + | 5.86537i | −0.677962 | + | 0.246758i | ||||
\(566\) | 21.7367 | 0.913660 | ||||||||
\(567\) | 6.98124 | − | 5.67999i | 0.293185 | − | 0.238537i | ||||
\(568\) | 6.51402 | 0.273322 | ||||||||
\(569\) | −8.47003 | + | 3.08284i | −0.355082 | + | 0.129239i | −0.513401 | − | 0.858149i | \(-0.671615\pi\) |
0.158319 | + | 0.987388i | \(0.449393\pi\) | |||||||
\(570\) | 2.60099 | − | 0.935542i | 0.108943 | − | 0.0391855i | ||||
\(571\) | −5.02205 | + | 4.21400i | −0.210166 | + | 0.176350i | −0.741794 | − | 0.670628i | \(-0.766025\pi\) |
0.531628 | + | 0.846978i | \(0.321580\pi\) | |||||||
\(572\) | 1.31189 | + | 7.44009i | 0.0548528 | + | 0.311086i | ||||
\(573\) | 4.91571 | − | 4.09315i | 0.205357 | − | 0.170994i | ||||
\(574\) | 1.02147 | + | 0.857119i | 0.0426355 | + | 0.0357755i | ||||
\(575\) | 5.13085 | − | 8.88690i | 0.213971 | − | 0.370609i | ||||
\(576\) | −2.81123 | − | 1.04738i | −0.117134 | − | 0.0436410i | ||||
\(577\) | 11.9349 | + | 20.6719i | 0.496858 | + | 0.860583i | 0.999993 | − | 0.00362468i | \(-0.00115377\pi\) |
−0.503136 | + | 0.864207i | \(0.667820\pi\) | |||||||
\(578\) | −4.44556 | + | 25.2120i | −0.184911 | + | 1.04868i | ||||
\(579\) | −3.24520 | + | 5.57201i | −0.134866 | + | 0.231565i | ||||
\(580\) | −0.675627 | − | 0.245908i | −0.0280539 | − | 0.0102108i | ||||
\(581\) | −14.4780 | − | 5.26957i | −0.600650 | − | 0.218619i | ||||
\(582\) | 14.1336 | + | 24.6956i | 0.585857 | + | 1.02367i | ||||
\(583\) | 1.33548 | − | 7.57389i | 0.0553099 | − | 0.313678i | ||||
\(584\) | −2.37064 | − | 4.10606i | −0.0980976 | − | 0.169910i | ||||
\(585\) | 3.79743 | + | 6.69392i | 0.157004 | + | 0.276760i | ||||
\(586\) | −1.87954 | + | 3.25546i | −0.0776432 | + | 0.134482i | ||||
\(587\) | 8.39732 | + | 7.04619i | 0.346595 | + | 0.290827i | 0.799421 | − | 0.600771i | \(-0.205140\pi\) |
−0.452826 | + | 0.891599i | \(0.649584\pi\) | |||||||
\(588\) | −1.62534 | − | 0.598556i | −0.0670279 | − | 0.0246840i | ||||
\(589\) | −0.552943 | − | 3.13589i | −0.0227836 | − | 0.129212i | ||||
\(590\) | −6.66101 | + | 5.58925i | −0.274229 | + | 0.230106i | ||||
\(591\) | 2.54269 | − | 14.1077i | 0.104592 | − | 0.580311i | ||||
\(592\) | −5.14012 | + | 1.87085i | −0.211258 | + | 0.0768915i | ||||
\(593\) | 37.5467 | 1.54186 | 0.770930 | − | 0.636920i | \(-0.219792\pi\) | ||||
0.770930 | + | 0.636920i | \(0.219792\pi\) | |||||||
\(594\) | −15.2126 | − | 5.73350i | −0.624182 | − | 0.235248i | ||||
\(595\) | −6.93415 | −0.284273 | ||||||||
\(596\) | 11.7104 | − | 4.26225i | 0.479678 | − | 0.174589i | ||||
\(597\) | −37.2007 | − | 31.4559i | −1.52252 | − | 1.28740i | ||||
\(598\) | 4.90316 | − | 4.11424i | 0.200505 | − | 0.168244i | ||||
\(599\) | 5.29469 | + | 30.0277i | 0.216335 | + | 1.22690i | 0.878575 | + | 0.477605i | \(0.158495\pi\) |
−0.662240 | + | 0.749292i | \(0.730394\pi\) | |||||||
\(600\) | 1.13935 | + | 6.60783i | 0.0465139 | + | 0.269764i | ||||
\(601\) | 1.08058 | + | 0.906717i | 0.0440779 | + | 0.0369858i | 0.664561 | − | 0.747234i | \(-0.268619\pi\) |
−0.620483 | + | 0.784220i | \(0.713063\pi\) | |||||||
\(602\) | 4.28485 | − | 7.42158i | 0.174638 | − | 0.302481i | ||||
\(603\) | −25.7986 | + | 9.16926i | −1.05060 | + | 0.373401i | ||||
\(604\) | −10.4523 | − | 18.1039i | −0.425299 | − | 0.736639i | ||||
\(605\) | −0.223447 | + | 1.26723i | −0.00908439 | + | 0.0515202i | ||||
\(606\) | 1.88436 | + | 0.00713623i | 0.0765470 | + | 0.000289889i | ||||
\(607\) | 34.4918 | + | 12.5540i | 1.39998 | + | 0.509550i | 0.928172 | − | 0.372152i | \(-0.121380\pi\) |
0.471806 | + | 0.881702i | \(0.343602\pi\) | |||||||
\(608\) | 1.41156 | + | 0.513765i | 0.0572462 | + | 0.0208359i | ||||
\(609\) | 1.17218 | + | 0.00443914i | 0.0474992 | + | 0.000179883i | ||||
\(610\) | 1.77979 | − | 10.0937i | 0.0720617 | − | 0.408682i | ||||
\(611\) | −10.0663 | − | 17.4353i | −0.407238 | − | 0.705356i | ||||
\(612\) | 18.4501 | − | 6.55748i | 0.745803 | − | 0.265070i | ||||
\(613\) | 19.7254 | − | 34.1653i | 0.796700 | − | 1.37993i | −0.125054 | − | 0.992150i | \(-0.539910\pi\) |
0.921754 | − | 0.387775i | \(-0.126756\pi\) | |||||||
\(614\) | −3.43916 | − | 2.88580i | −0.138793 | − | 0.116461i | ||||
\(615\) | −0.416923 | − | 2.41800i | −0.0168120 | − | 0.0975032i | ||||
\(616\) | 0.543294 | + | 3.08117i | 0.0218899 | + | 0.124144i | ||||
\(617\) | −37.5299 | + | 31.4914i | −1.51090 | + | 1.26779i | −0.648911 | + | 0.760864i | \(0.724775\pi\) |
−0.861987 | + | 0.506930i | \(0.830780\pi\) | |||||||
\(618\) | 4.23583 | + | 3.58171i | 0.170390 | + | 0.144078i | ||||
\(619\) | 11.8719 | − | 4.32103i | 0.477174 | − | 0.173677i | −0.0922256 | − | 0.995738i | \(-0.529398\pi\) |
0.569399 | + | 0.822061i | \(0.307176\pi\) | |||||||
\(620\) | −2.25206 | −0.0904451 | ||||||||
\(621\) | 2.23747 | + | 13.5905i | 0.0897866 | + | 0.545366i | ||||
\(622\) | −14.2774 | −0.572470 | ||||||||
\(623\) | 14.3476 | − | 5.22211i | 0.574826 | − | 0.209220i | ||||
\(624\) | −0.741855 | + | 4.11606i | −0.0296980 | + | 0.164774i | ||||
\(625\) | 7.15778 | − | 6.00609i | 0.286311 | − | 0.240244i | ||||
\(626\) | 1.26506 | + | 7.17451i | 0.0505620 | + | 0.286751i | ||||
\(627\) | 7.63874 | + | 2.81308i | 0.305062 | + | 0.112344i | ||||
\(628\) | 5.06737 | + | 4.25203i | 0.202210 | + | 0.169675i | ||||
\(629\) | 17.8512 | − | 30.9191i | 0.711773 | − | 1.23283i | ||||
\(630\) | 1.57263 | + | 2.77216i | 0.0626552 | + | 0.110445i | ||||
\(631\) | −2.19999 | − | 3.81049i | −0.0875800 | − | 0.151693i | 0.818908 | − | 0.573925i | \(-0.194580\pi\) |
−0.906488 | + | 0.422232i | \(0.861247\pi\) | |||||||
\(632\) | 0.938789 | − | 5.32413i | 0.0373430 | − | 0.211783i | ||||
\(633\) | −21.1021 | − | 36.8717i | −0.838733 | − | 1.46552i | ||||
\(634\) | −30.7088 | − | 11.1771i | −1.21960 | − | 0.443899i | ||||
\(635\) | −13.0006 | − | 4.73185i | −0.515915 | − | 0.187778i | ||||
\(636\) | 2.14274 | − | 3.67909i | 0.0849652 | − | 0.145885i | ||||
\(637\) | −0.419308 | + | 2.37801i | −0.0166136 | + | 0.0942202i | ||||
\(638\) | −1.05870 | − | 1.83372i | −0.0419142 | − | 0.0725976i | ||||
\(639\) | 18.3124 | + | 6.82267i | 0.724426 | + | 0.269901i | ||||
\(640\) | 0.531195 | − | 0.920056i | 0.0209973 | − | 0.0363684i | ||||
\(641\) | 11.5794 | + | 9.71624i | 0.457357 | + | 0.383768i | 0.842158 | − | 0.539232i | \(-0.181285\pi\) |
−0.384800 | + | 0.923000i | \(0.625730\pi\) | |||||||
\(642\) | 3.37507 | − | 2.81031i | 0.133204 | − | 0.110914i | ||||
\(643\) | 1.34999 | + | 7.65620i | 0.0532386 | + | 0.301931i | 0.999787 | − | 0.0206302i | \(-0.00656726\pi\) |
−0.946549 | + | 0.322561i | \(0.895456\pi\) | |||||||
\(644\) | 2.03055 | − | 1.70383i | 0.0800148 | − | 0.0671404i | ||||
\(645\) | −14.8385 | + | 5.33724i | −0.584267 | + | 0.210153i | ||||
\(646\) | −9.21315 | + | 3.35331i | −0.362487 | + | 0.131934i | ||||
\(647\) | −0.538159 | −0.0211572 | −0.0105786 | − | 0.999944i | \(-0.503367\pi\) | ||||
−0.0105786 | + | 0.999944i | \(0.503367\pi\) | |||||||
\(648\) | −6.80598 | − | 5.88886i | −0.267364 | − | 0.231336i | ||||
\(649\) | −25.6075 | −1.00518 | ||||||||
\(650\) | 8.78432 | − | 3.19723i | 0.344549 | − | 0.125406i | ||||
\(651\) | 3.45492 | − | 1.24269i | 0.135409 | − | 0.0487050i | ||||
\(652\) | −0.722115 | + | 0.605926i | −0.0282802 | + | 0.0237299i | ||||
\(653\) | 4.03416 | + | 22.8789i | 0.157869 | + | 0.895319i | 0.956116 | + | 0.292989i | \(0.0946498\pi\) |
−0.798247 | + | 0.602330i | \(0.794239\pi\) | |||||||
\(654\) | −21.2732 | + | 17.7135i | −0.831848 | + | 0.692652i | ||||
\(655\) | 7.84665 | + | 6.58412i | 0.306594 | + | 0.257263i | ||||
\(656\) | 0.666720 | − | 1.15479i | 0.0260311 | − | 0.0450871i | ||||
\(657\) | −2.36377 | − | 14.0260i | −0.0922196 | − | 0.547207i | ||||
\(658\) | −4.16875 | − | 7.22049i | −0.162515 | − | 0.281484i | ||||
\(659\) | 5.65644 | − | 32.0793i | 0.220344 | − | 1.24963i | −0.651046 | − | 0.759038i | \(-0.725669\pi\) |
0.871389 | − | 0.490592i | \(-0.163219\pi\) | |||||||
\(660\) | 2.89745 | − | 4.97492i | 0.112783 | − | 0.193648i | ||||
\(661\) | 27.3911 | + | 9.96953i | 1.06539 | + | 0.387770i | 0.814451 | − | 0.580233i | \(-0.197039\pi\) |
0.250939 | + | 0.968003i | \(0.419261\pi\) | |||||||
\(662\) | 27.5000 | + | 10.0092i | 1.06882 | + | 0.389018i | ||||
\(663\) | −13.5594 | − | 23.6924i | −0.526605 | − | 0.920136i | ||||
\(664\) | −2.67543 | + | 15.1731i | −0.103827 | + | 0.588831i | ||||
\(665\) | −0.797933 | − | 1.38206i | −0.0309425 | − | 0.0535940i | ||||
\(666\) | −16.4095 | − | 0.124290i | −0.635856 | − | 0.00481614i | ||||
\(667\) | −0.896947 | + | 1.55356i | −0.0347299 | + | 0.0601540i | ||||
\(668\) | −16.4400 | − | 13.7948i | −0.636082 | − | 0.533736i | ||||
\(669\) | −0.528998 | − | 0.194811i | −0.0204522 | − | 0.00753184i | ||||
\(670\) | −1.68368 | − | 9.54865i | −0.0650464 | − | 0.368897i | ||||
\(671\) | 23.1224 | − | 19.4020i | 0.892632 | − | 0.749007i | ||||
\(672\) | −0.307225 | + | 1.70459i | −0.0118515 | + | 0.0657558i | ||||
\(673\) | −17.7008 | + | 6.44257i | −0.682316 | + | 0.248343i | −0.659842 | − | 0.751405i | \(-0.729377\pi\) |
−0.0224747 | + | 0.999747i | \(0.507155\pi\) | |||||||
\(674\) | −22.3865 | −0.862294 | ||||||||
\(675\) | −3.71795 | + | 19.7694i | −0.143104 | + | 0.760926i | ||||
\(676\) | −7.16924 | −0.275740 | ||||||||
\(677\) | −27.0896 | + | 9.85980i | −1.04114 | + | 0.378943i | −0.805311 | − | 0.592853i | \(-0.798002\pi\) |
−0.235826 | + | 0.971795i | \(0.575779\pi\) | |||||||
\(678\) | −21.3496 | − | 18.0526i | −0.819926 | − | 0.693308i | ||||
\(679\) | 12.5845 | − | 10.5597i | 0.482950 | − | 0.405244i | ||||
\(680\) | 1.20410 | + | 6.82881i | 0.0461752 | + | 0.261873i | ||||
\(681\) | 4.01380 | + | 23.2786i | 0.153809 | + | 0.892036i | ||||
\(682\) | −5.08060 | − | 4.26313i | −0.194546 | − | 0.163244i | ||||
\(683\) | −13.7305 | + | 23.7819i | −0.525383 | + | 0.909991i | 0.474180 | + | 0.880428i | \(0.342745\pi\) |
−0.999563 | + | 0.0295626i | \(0.990589\pi\) | |||||||
\(684\) | 3.43010 | + | 2.92275i | 0.131153 | + | 0.111754i | ||||
\(685\) | −8.93155 | − | 15.4699i | −0.341257 | − | 0.591074i | ||||
\(686\) | −0.173648 | + | 0.984808i | −0.00662992 | + | 0.0376001i | ||||
\(687\) | 48.8504 | + | 0.185000i | 1.86376 | + | 0.00705819i | ||||
\(688\) | −8.05289 | − | 2.93101i | −0.307013 | − | 0.111744i | ||||
\(689\) | −5.57765 | − | 2.03010i | −0.212491 | − | 0.0773406i | ||||
\(690\) | −4.87754 | − | 0.0184716i | −0.185685 | − | 0.000703202i | ||||
\(691\) | −3.83707 | + | 21.7611i | −0.145969 | + | 0.827831i | 0.820615 | + | 0.571481i | \(0.193631\pi\) |
−0.966584 | + | 0.256350i | \(0.917480\pi\) | |||||||
\(692\) | −4.59228 | − | 7.95406i | −0.174572 | − | 0.302368i | ||||
\(693\) | −1.69985 | + | 9.23091i | −0.0645718 | + | 0.350653i | ||||
\(694\) | −6.90395 | + | 11.9580i | −0.262070 | + | 0.453919i | ||||
\(695\) | 5.48297 | + | 4.60076i | 0.207981 | + | 0.174517i | ||||
\(696\) | −0.199176 | − | 1.15514i | −0.00754973 | − | 0.0437856i | ||||
\(697\) | 1.51131 | + | 8.57106i | 0.0572449 | + | 0.324652i | ||||
\(698\) | −16.4226 | + | 13.7802i | −0.621603 | + | 0.521587i | ||||
\(699\) | −26.5319 | − | 22.4347i | −1.00353 | − | 0.848558i | ||||
\(700\) | 3.63786 | − | 1.32407i | 0.137498 | − | 0.0500452i | ||||
\(701\) | −46.5889 | −1.75964 | −0.879819 | − | 0.475309i | \(-0.842336\pi\) | ||||
−0.879819 | + | 0.475309i | \(0.842336\pi\) | |||||||
\(702\) | −6.39661 | + | 10.7942i | −0.241424 | + | 0.407399i | ||||
\(703\) | 8.21675 | 0.309901 | ||||||||
\(704\) | 2.94002 | − | 1.07008i | 0.110806 | − | 0.0403302i | ||||
\(705\) | −2.72130 | + | 15.0987i | −0.102490 | + | 0.568649i | ||||
\(706\) | 12.2913 | − | 10.3136i | 0.462589 | − | 0.388158i | ||||
\(707\) | −0.188920 | − | 1.07142i | −0.00710506 | − | 0.0402948i | ||||
\(708\) | −13.3029 | − | 4.89899i | −0.499954 | − | 0.184115i | ||||
\(709\) | 40.3185 | + | 33.8313i | 1.51419 | + | 1.27056i | 0.855053 | + | 0.518541i | \(0.173525\pi\) |
0.659142 | + | 0.752019i | \(0.270920\pi\) | |||||||
\(710\) | −3.46021 | + | 5.99326i | −0.129859 | + | 0.224923i | ||||
\(711\) | 8.21555 | − | 13.9841i | 0.308107 | − | 0.524444i | ||||
\(712\) | −7.63422 | − | 13.2229i | −0.286104 | − | 0.495547i | ||||
\(713\) | −0.975723 | + | 5.53360i | −0.0365411 | + | 0.207235i | ||||
\(714\) | −5.61538 | − | 9.81174i | −0.210150 | − | 0.367195i | ||||
\(715\) | −7.54217 | − | 2.74513i | −0.282061 | − | 0.102662i | ||||
\(716\) | −10.6033 | − | 3.85929i | −0.396264 | − | 0.144228i | ||||
\(717\) | −22.4711 | + | 38.5829i | −0.839198 | + | 1.44090i | ||||
\(718\) | 3.43294 | − | 19.4691i | 0.128116 | − | 0.726582i | ||||
\(719\) | −13.9987 | − | 24.2465i | −0.522065 | − | 0.904243i | −0.999670 | − | 0.0256689i | \(-0.991828\pi\) |
0.477605 | − | 0.878575i | \(-0.341505\pi\) | |||||||
\(720\) | 2.45696 | − | 2.03012i | 0.0915655 | − | 0.0756582i | ||||
\(721\) | 1.60133 | − | 2.77358i | 0.0596365 | − | 0.103293i | ||||
\(722\) | 12.8263 | + | 10.7625i | 0.477346 | + | 0.400541i | ||||
\(723\) | 22.2349 | − | 18.5142i | 0.826923 | − | 0.688552i | ||||
\(724\) | 0.794724 | + | 4.50710i | 0.0295357 | + | 0.167505i | ||||
\(725\) | −2.00702 | + | 1.68409i | −0.0745388 | + | 0.0625455i | ||||
\(726\) | −1.97406 | + | 0.710046i | −0.0732644 | + | 0.0263523i | ||||
\(727\) | 15.6872 | − | 5.70966i | 0.581805 | − | 0.211760i | −0.0343163 | − | 0.999411i | \(-0.510925\pi\) |
0.616121 | + | 0.787651i | \(0.288703\pi\) | |||||||
\(728\) | 2.41470 | 0.0894946 | ||||||||
\(729\) | −12.9653 | − | 23.6834i | −0.480194 | − | 0.877162i | ||||
\(730\) | 5.03708 | 0.186431 | ||||||||
\(731\) | 52.5607 | − | 19.1305i | 1.94403 | − | 0.707568i | ||||
\(732\) | 15.7238 | − | 5.65564i | 0.581167 | − | 0.209039i | ||||
\(733\) | 26.1447 | − | 21.9380i | 0.965677 | − | 0.810299i | −0.0161900 | − | 0.999869i | \(-0.505154\pi\) |
0.981867 | + | 0.189569i | \(0.0607092\pi\) | |||||||
\(734\) | −4.38594 | − | 24.8739i | −0.161888 | − | 0.918113i | ||||
\(735\) | 1.41408 | − | 1.17746i | 0.0521590 | − | 0.0434311i | ||||
\(736\) | −2.03055 | − | 1.70383i | −0.0748470 | − | 0.0628041i | ||||
\(737\) | 14.2771 | − | 24.7287i | 0.525905 | − | 0.910894i | ||||
\(738\) | 3.08381 | − | 2.54807i | 0.113517 | − | 0.0937959i | ||||
\(739\) | −1.61775 | − | 2.80203i | −0.0595100 | − | 0.103074i | 0.834736 | − | 0.550651i | \(-0.185620\pi\) |
−0.894246 | + | 0.447577i | \(0.852287\pi\) | |||||||
\(740\) | 1.00912 | − | 5.72298i | 0.0370959 | − | 0.210381i | ||||
\(741\) | 3.16186 | − | 5.42891i | 0.116154 | − | 0.199436i | ||||
\(742\) | −2.30988 | − | 0.840726i | −0.0847982 | − | 0.0308640i | ||||
\(743\) | 34.2336 | + | 12.4600i | 1.25591 | + | 0.457113i | 0.882394 | − | 0.470512i | \(-0.155931\pi\) |
0.373514 | + | 0.927625i | \(0.378153\pi\) | |||||||
\(744\) | −1.82375 | − | 3.18664i | −0.0668621 | − | 0.116828i | ||||
\(745\) | −2.29901 | + | 13.0384i | −0.0842294 | + | 0.477688i | ||||
\(746\) | −12.1157 | − | 20.9850i | −0.443587 | − | 0.768315i | ||||
\(747\) | −23.4133 | + | 39.8529i | −0.856648 | + | 1.45814i | ||||
\(748\) | −10.2104 | + | 17.6850i | −0.373330 | + | 0.646627i | ||||
\(749\) | −1.94244 | − | 1.62990i | −0.0709753 | − | 0.0595553i | ||||
\(750\) | −15.3185 | − | 5.64127i | −0.559353 | − | 0.205990i | ||||
\(751\) | 2.61699 | + | 14.8417i | 0.0954954 | + | 0.541581i | 0.994594 | + | 0.103836i | \(0.0331117\pi\) |
−0.899099 | + | 0.437745i | \(0.855777\pi\) | |||||||
\(752\) | −6.38690 | + | 5.35924i | −0.232906 | + | 0.195432i | ||||
\(753\) | −1.69701 | + | 9.41557i | −0.0618425 | + | 0.343122i | ||||
\(754\) | −1.53563 | + | 0.558922i | −0.0559242 | + | 0.0203548i | ||||
\(755\) | 22.2089 | 0.808263 | ||||||||
\(756\) | −2.64903 | + | 4.47019i | −0.0963444 | + | 0.162579i | ||||
\(757\) | 20.7868 | 0.755508 | 0.377754 | − | 0.925906i | \(-0.376696\pi\) | ||||
0.377754 | + | 0.925906i | \(0.376696\pi\) | |||||||
\(758\) | 7.29017 | − | 2.65341i | 0.264791 | − | 0.0963761i | ||||
\(759\) | −10.9686 | − | 9.27480i | −0.398137 | − | 0.336654i | ||||
\(760\) | −1.22250 | + | 1.02580i | −0.0443449 | + | 0.0372098i | ||||
\(761\) | 8.46900 | + | 48.0301i | 0.307001 | + | 1.74109i | 0.613934 | + | 0.789357i | \(0.289586\pi\) |
−0.306933 | + | 0.951731i | \(0.599303\pi\) | |||||||
\(762\) | −3.83260 | − | 22.2277i | −0.138841 | − | 0.805224i | ||||
\(763\) | 12.2433 | + | 10.2733i | 0.443236 | + | 0.371919i | ||||
\(764\) | −1.84657 | + | 3.19836i | −0.0668067 | + | 0.115713i | ||||
\(765\) | −3.76737 | + | 20.4585i | −0.136210 | + | 0.739678i | ||||
\(766\) | −16.4342 | − | 28.4649i | −0.593793 | − | 1.02848i | ||||
\(767\) | −3.43190 | + | 19.4633i | −0.123919 | + | 0.702778i | ||||
\(768\) | 1.73204 | + | 0.00655936i | 0.0624996 | + | 0.000236691i | ||||
\(769\) | −23.6173 | − | 8.59599i | −0.851662 | − | 0.309979i | −0.120944 | − | 0.992659i | \(-0.538592\pi\) |
−0.730718 | + | 0.682680i | \(0.760814\pi\) | |||||||
\(770\) | −3.12345 | − | 1.13684i | −0.112561 | − | 0.0409689i | ||||
\(771\) | 10.0983 | + | 0.0382431i | 0.363682 | + | 0.00137729i | ||||
\(772\) | 0.646464 | − | 3.66628i | 0.0232667 | − | 0.131952i | ||||
\(773\) | −11.8424 | − | 20.5116i | −0.425941 | − | 0.737751i | 0.570567 | − | 0.821251i | \(-0.306723\pi\) |
−0.996508 | + | 0.0835002i | \(0.973390\pi\) | |||||||
\(774\) | −19.5686 | − | 16.6742i | −0.703379 | − | 0.599341i | ||||
\(775\) | −4.10324 | + | 7.10702i | −0.147393 | + | 0.255292i | ||||
\(776\) | −12.5845 | − | 10.5597i | −0.451759 | − | 0.379071i | ||||
\(777\) | 1.60985 | + | 9.33654i | 0.0577531 | + | 0.334947i | ||||
\(778\) | 2.84323 | + | 16.1247i | 0.101935 | + | 0.578100i | ||||
\(779\) | −1.53441 | + | 1.28752i | −0.0549758 | + | 0.0461302i | ||||
\(780\) | −3.39293 | − | 2.86898i | −0.121487 | − | 0.102726i | ||||
\(781\) | −19.1513 | + | 6.97052i | −0.685289 | + | 0.249425i | ||||
\(782\) | 17.3009 | 0.618679 | ||||||||
\(783\) | 0.649951 | − | 3.45599i | 0.0232274 | − | 0.123507i | ||||
\(784\) | 1.00000 | 0.0357143 | ||||||||
\(785\) | −6.60387 | + | 2.40361i | −0.235702 | + | 0.0857886i | ||||
\(786\) | −2.96212 | + | 16.4348i | −0.105655 | + | 0.586211i | ||||
\(787\) | −31.8102 | + | 26.6919i | −1.13391 | + | 0.951464i | −0.999223 | − | 0.0394240i | \(-0.987448\pi\) |
−0.134688 | + | 0.990888i | \(0.543003\pi\) | |||||||
\(788\) | 1.43716 | + | 8.15056i | 0.0511968 | + | 0.290352i | ||||
\(789\) | 18.3778 | + | 6.76790i | 0.654267 | + | 0.240944i | ||||
\(790\) | 4.39982 | + | 3.69189i | 0.156539 | + | 0.131352i | ||||
\(791\) | −8.07105 | + | 13.9795i | −0.286974 | + | 0.497053i | ||||
\(792\) | 9.38584 | + | 0.0710908i | 0.333511 | + | 0.00252610i | ||||
\(793\) | −11.6479 | − | 20.1748i | −0.413629 | − | 0.716426i | ||||
\(794\) | −3.05033 | + | 17.2993i | −0.108252 | + | 0.613929i | ||||
\(795\) | 2.24676 | + | 3.92576i | 0.0796842 | + | 0.139232i | ||||
\(796\) | 26.4306 | + | 9.61996i | 0.936808 | + | 0.340970i | ||||
\(797\) | −29.9378 | − | 10.8965i | −1.06045 | − | 0.385972i | −0.247853 | − | 0.968798i | \(-0.579725\pi\) |
−0.812597 | + | 0.582826i | \(0.801947\pi\) | |||||||
\(798\) | 1.30942 | − | 2.24828i | 0.0463530 | − | 0.0795882i | ||||
\(799\) | 9.44965 | − | 53.5916i | 0.334305 | − | 1.89594i | ||||
\(800\) | −1.93566 | − | 3.35267i | −0.0684361 | − | 0.118535i | ||||
\(801\) | −7.61212 | − | 45.1684i | −0.268961 | − | 1.59595i | ||||
\(802\) | 0.432449 | − | 0.749023i | 0.0152703 | − | 0.0264489i | ||||
\(803\) | 11.3635 | + | 9.53513i | 0.401010 | + | 0.336488i | ||||
\(804\) | 12.1478 | − | 10.1150i | 0.428418 | − | 0.356730i | ||||
\(805\) | 0.489005 | + | 2.77329i | 0.0172352 | + | 0.0977455i | ||||
\(806\) | −3.92115 | + | 3.29023i | −0.138117 | + | 0.115894i | ||||
\(807\) | −1.00816 | + | 0.362624i | −0.0354891 | + | 0.0127650i | ||||
\(808\) | −1.02233 | + | 0.372099i | −0.0359656 | + | 0.0130904i | ||||
\(809\) | 19.5911 | 0.688785 | 0.344392 | − | 0.938826i | \(-0.388085\pi\) | ||||
0.344392 | + | 0.938826i | \(0.388085\pi\) | |||||||
\(810\) | 9.03338 | − | 3.13375i | 0.317401 | − | 0.110109i | ||||
\(811\) | −47.7582 | −1.67702 | −0.838509 | − | 0.544888i | \(-0.816572\pi\) | ||||
−0.838509 | + | 0.544888i | \(0.816572\pi\) | |||||||
\(812\) | −0.635950 | + | 0.231467i | −0.0223175 | + | 0.00812290i | ||||
\(813\) | 21.2431 | − | 7.64089i | 0.745030 | − | 0.267978i | ||||
\(814\) | 13.1101 | − | 11.0007i | 0.459508 | − | 0.385573i | ||||
\(815\) | −0.173903 | − | 0.986252i | −0.00609155 | − | 0.0345469i | ||||
\(816\) | −8.68758 | + | 7.23386i | −0.304126 | + | 0.253236i | ||||
\(817\) | 9.86126 | + | 8.27458i | 0.345002 | + | 0.289491i | ||||
\(818\) | −8.50758 | + | 14.7356i | −0.297460 | + | 0.515217i | ||||
\(819\) | 6.78825 | + | 2.52911i | 0.237201 | + | 0.0883743i | ||||
\(820\) | 0.708317 | + | 1.22684i | 0.0247355 | + | 0.0428431i | ||||
\(821\) | 0.414459 | − | 2.35051i | 0.0144647 | − | 0.0820335i | −0.976721 | − | 0.214514i | \(-0.931183\pi\) |
0.991186 | + | 0.132481i | \(0.0422943\pi\) | |||||||
\(822\) | 14.6568 | − | 25.1658i | 0.511215 | − | 0.877757i | ||||
\(823\) | −27.8128 | − | 10.1230i | −0.969493 | − | 0.352867i | −0.191746 | − | 0.981445i | \(-0.561415\pi\) |
−0.777747 | + | 0.628578i | \(0.783637\pi\) | |||||||
\(824\) | −3.00951 | − | 1.09537i | −0.104841 | − | 0.0381591i | ||||
\(825\) | −10.4206 | − | 18.2080i | −0.362800 | − | 0.633920i | ||||
\(826\) | −1.42126 | + | 8.06034i | −0.0494518 | + | 0.280455i | ||||
\(827\) | −23.1349 | − | 40.0708i | −0.804479 | − | 1.39340i | −0.916642 | − | 0.399708i | \(-0.869111\pi\) |
0.112164 | − | 0.993690i | \(-0.464222\pi\) | |||||||
\(828\) | −3.92377 | − | 6.91662i | −0.136360 | − | 0.240369i | ||||
\(829\) | −9.84482 | + | 17.0517i | −0.341925 | + | 0.592231i | −0.984790 | − | 0.173748i | \(-0.944412\pi\) |
0.642865 | + | 0.765979i | \(0.277745\pi\) | |||||||
\(830\) | −12.5390 | − | 10.5214i | −0.435233 | − | 0.365204i | ||||
\(831\) | −14.8962 | − | 5.48575i | −0.516743 | − | 0.190298i | ||||
\(832\) | −0.419308 | − | 2.37801i | −0.0145369 | − | 0.0824427i | ||||
\(833\) | −4.99993 | + | 4.19544i | −0.173237 | + | 0.145363i | ||||
\(834\) | −2.06983 | + | 11.4841i | −0.0716723 | + | 0.397662i | ||||
\(835\) | 21.4248 | − | 7.79799i | 0.741436 | − | 0.269861i | ||||
\(836\) | −4.69978 | −0.162545 | ||||||||
\(837\) | −1.78935 | − | 10.8685i | −0.0618489 | − | 0.375672i | ||||
\(838\) | −22.9429 | −0.792551 | ||||||||
\(839\) | 36.9916 | − | 13.4639i | 1.27709 | − | 0.464824i | 0.387624 | − | 0.921818i | \(-0.373296\pi\) |
0.889470 | + | 0.456994i | \(0.151074\pi\) | |||||||
\(840\) | −1.40512 | − | 1.18813i | −0.0484812 | − | 0.0409944i | ||||
\(841\) | −21.8644 | + | 18.3464i | −0.753946 | + | 0.632636i | ||||
\(842\) | −5.48117 | − | 31.0853i | −0.188894 | − | 1.07127i | ||||
\(843\) | 6.04829 | + | 35.0778i | 0.208314 | + | 1.20814i | ||||
\(844\) | 18.7893 | + | 15.7661i | 0.646754 | + | 0.542691i | ||||
\(845\) | 3.80827 | − | 6.59611i | 0.131008 | − | 0.226913i | ||||
\(846\) | −23.5682 | + | 8.37652i | −0.810291 | + | 0.287991i | ||||
\(847\) | 0.605605 | + | 1.04894i | 0.0208088 | + | 0.0360420i | ||||
\(848\) | −0.426848 | + | 2.42077i | −0.0146580 | + | 0.0831297i | ||||
\(849\) | −37.6487 | − | 0.142579i | −1.29210 | − | 0.00489329i | ||||
\(850\) | 23.7441 | + | 8.64214i | 0.814415 | + | 0.296423i | ||||
\(851\) | −13.6249 | − | 4.95905i | −0.467055 | − | 0.169994i | ||||
\(852\) | −11.2825 | − | 0.0427278i | −0.386533 | − | 0.00146383i | ||||
\(853\) | 3.10167 | − | 17.5904i | 0.106199 | − | 0.602285i | −0.884536 | − | 0.466473i | \(-0.845525\pi\) |
0.990735 | − | 0.135812i | \(-0.0433643\pi\) | |||||||
\(854\) | −4.82375 | − | 8.35499i | −0.165065 | − | 0.285902i | ||||
\(855\) | −4.51115 | + | 1.60333i | −0.154278 | + | 0.0548329i | ||||
\(856\) | −1.26784 | + | 2.19596i | −0.0433338 | + | 0.0750564i | ||||
\(857\) | −2.38086 | − | 1.99778i | −0.0813287 | − | 0.0682428i | 0.601217 | − | 0.799086i | \(-0.294683\pi\) |
−0.682546 | + | 0.730843i | \(0.739127\pi\) | |||||||
\(858\) | −2.22344 | − | 12.8951i | −0.0759070 | − | 0.440233i | ||||
\(859\) | −0.000601735 | − | 0.00341261i | −2.05309e−5 | − | 0.000116437i | 0.984797 | − | 0.173706i | \(-0.0555744\pi\) |
−0.984818 | + | 0.173590i | \(0.944463\pi\) | |||||||
\(860\) | 6.97435 | − | 5.85217i | 0.237823 | − | 0.199557i | ||||
\(861\) | −1.76361 | − | 1.49126i | −0.0601037 | − | 0.0508221i | ||||
\(862\) | −22.0577 | + | 8.02834i | −0.751288 | + | 0.273446i | ||||
\(863\) | −1.57071 | −0.0534677 | −0.0267338 | − | 0.999643i | \(-0.508511\pi\) | ||||
−0.0267338 | + | 0.999643i | \(0.508511\pi\) | |||||||
\(864\) | 4.86228 | + | 1.83255i | 0.165418 | + | 0.0623445i | ||||
\(865\) | 9.75758 | 0.331768 | ||||||||
\(866\) | −28.2330 | + | 10.2760i | −0.959395 | + | 0.349191i | ||||
\(867\) | 7.86525 | − | 43.6390i | 0.267118 | − | 1.48206i | ||||
\(868\) | −1.62387 | + | 1.36259i | −0.0551177 | + | 0.0462492i | ||||
\(869\) | 2.93719 | + | 16.6576i | 0.0996374 | + | 0.565072i | ||||
\(870\) | 1.16860 | + | 0.430354i | 0.0396192 | + | 0.0145904i | ||||
\(871\) | −16.8820 | − | 14.1657i | −0.572024 | − | 0.479985i | ||||
\(872\) | 7.99123 | − | 13.8412i | 0.270617 | − | 0.468723i | ||||
\(873\) | −24.3180 | − | 42.8665i | −0.823038 | − | 1.45081i | ||||
\(874\) | 1.99087 | + | 3.44828i | 0.0673421 | + | 0.116640i | ||||
\(875\) | −1.63660 | + | 9.28162i | −0.0553272 | + | 0.313776i | ||||
\(876\) | 4.07910 | + | 7.12740i | 0.137820 | + | 0.240813i | ||||
\(877\) | 5.34817 | + | 1.94657i | 0.180595 | + | 0.0657311i | 0.430735 | − | 0.902479i | \(-0.358254\pi\) |
−0.250140 | + | 0.968210i | \(0.580477\pi\) | |||||||
\(878\) | 27.3347 | + | 9.94902i | 0.922502 | + | 0.335763i | ||||
\(879\) | 3.27680 | − | 5.62626i | 0.110524 | − | 0.189769i | ||||
\(880\) | −0.577190 | + | 3.27341i | −0.0194571 | + | 0.110346i | ||||
\(881\) | 0.351844 | + | 0.609411i | 0.0118539 | + | 0.0205316i | 0.871892 | − | 0.489699i | \(-0.162893\pi\) |
−0.860038 | + | 0.510231i | \(0.829560\pi\) | |||||||
\(882\) | 2.81123 | + | 1.04738i | 0.0946589 | + | 0.0352672i | ||||
\(883\) | 10.2695 | − | 17.7873i | 0.345597 | − | 0.598591i | −0.639865 | − | 0.768487i | \(-0.721010\pi\) |
0.985462 | + | 0.169896i | \(0.0543431\pi\) | |||||||
\(884\) | 12.0733 | + | 10.1307i | 0.406069 | + | 0.340732i | ||||
\(885\) | 11.5738 | − | 9.63710i | 0.389048 | − | 0.323948i | ||||
\(886\) | 5.53935 | + | 31.4152i | 0.186098 | + | 1.05541i | ||||
\(887\) | 24.5981 | − | 20.6402i | 0.825922 | − | 0.693031i | −0.128429 | − | 0.991719i | \(-0.540993\pi\) |
0.954351 | + | 0.298688i | \(0.0965490\pi\) | |||||||
\(888\) | 8.91515 | − | 3.20667i | 0.299173 | − | 0.107609i | ||||
\(889\) | −12.2372 | + | 4.45397i | −0.410422 | + | 0.149381i | ||||
\(890\) | 16.2210 | 0.543730 | ||||||||
\(891\) | 26.3113 | + | 10.0304i | 0.881460 | + | 0.336032i | ||||
\(892\) | 0.325469 | 0.0108975 | ||||||||
\(893\) | 11.7689 | − | 4.28352i | 0.393830 | − | 0.143342i | ||||
\(894\) | −20.3109 | + | 7.30557i | −0.679298 | + | 0.244335i | ||||
\(895\) | 9.18318 | − | 7.70560i | 0.306960 | − | 0.257570i | ||||
\(896\) | −0.173648 | − | 0.984808i | −0.00580118 | − | 0.0329001i | ||||
\(897\) | −8.51944 | + | 7.09386i | −0.284456 | + | 0.236857i | ||||
\(898\) | −13.0426 | − | 10.9440i | −0.435237 | − | 0.365207i | ||||
\(899\) | 0.717306 | − | 1.24241i | 0.0239235 | − | 0.0414367i | ||||
\(900\) | −1.93006 | − | 11.4525i | −0.0643354 | − | 0.381750i | ||||
\(901\) | −8.02199 | − | 13.8945i | −0.267251 | − | 0.462893i | ||||
\(902\) | −0.724450 | + | 4.10856i | −0.0241215 | + | 0.136800i | ||||
\(903\) | −7.47021 | + | 12.8264i | −0.248593 | + | 0.426834i | ||||
\(904\) | 15.1686 | + | 5.52093i | 0.504501 | + | 0.183623i | ||||
\(905\) | −4.56894 | − | 1.66296i | −0.151877 | − | 0.0552786i | ||||
\(906\) | 17.9851 | + | 31.4253i | 0.597514 | + | 1.04403i | ||||
\(907\) | −7.07716 | + | 40.1366i | −0.234993 | + | 1.33271i | 0.607635 | + | 0.794217i | \(0.292118\pi\) |
−0.842628 | + | 0.538496i | \(0.818993\pi\) | |||||||
\(908\) | −6.81910 | − | 11.8110i | −0.226300 | − | 0.391963i | ||||
\(909\) | −3.26374 | − | 0.0247204i | −0.108251 | − | 0.000819925i | ||||
\(910\) | −1.28267 | + | 2.22166i | −0.0425202 | + | 0.0736472i | ||||
\(911\) | −18.5973 | − | 15.6050i | −0.616156 | − | 0.517017i | 0.280436 | − | 0.959873i | \(-0.409521\pi\) |
−0.896593 | + | 0.442856i | \(0.853965\pi\) | |||||||
\(912\) | −2.44150 | − | 0.899120i | −0.0808462 | − | 0.0297728i | ||||
\(913\) | −8.37063 | − | 47.4722i | −0.277027 | − | 1.57110i | ||||
\(914\) | −11.9686 | + | 10.0428i | −0.395886 | + | 0.332187i | ||||
\(915\) | −3.14888 | + | 17.4710i | −0.104099 | + | 0.577574i | ||||
\(916\) | −26.5031 | + | 9.64633i | −0.875686 | + | 0.318724i | ||||
\(917\) | 9.64154 | 0.318392 | ||||||||
\(918\) | −31.9994 | + | 11.2368i | −1.05614 | + | 0.370869i | ||||
\(919\) | −39.6901 | −1.30926 | −0.654628 | − | 0.755951i | \(-0.727175\pi\) | ||||
−0.654628 | + | 0.755951i | \(0.727175\pi\) | |||||||
\(920\) | 2.64624 | − | 0.963152i | 0.0872439 | − | 0.0317542i | ||||
\(921\) | 5.93783 | + | 5.02087i | 0.195658 | + | 0.165443i | ||||
\(922\) | −13.0503 | + | 10.9505i | −0.429788 | + | 0.360635i | ||||
\(923\) | 2.73138 | + | 15.4904i | 0.0899043 | + | 0.509873i | ||||
\(924\) | −0.920795 | − | 5.34027i | −0.0302919 | − | 0.175682i | ||||
\(925\) | −16.2219 | − | 13.6118i | −0.533372 | − | 0.447552i | ||||
\(926\) | 12.3142 | − | 21.3288i | 0.404670 | − | 0.700909i | ||||
\(927\) | −7.31313 | − | 6.23144i | −0.240195 | − | 0.204667i | ||||
\(928\) | 0.338382 | + | 0.586095i | 0.0111079 | + | 0.0192395i | ||||
\(929\) | −3.59199 | + | 20.3712i | −0.117849 | + | 0.668357i | 0.867451 | + | 0.497523i | \(0.165757\pi\) |
−0.985300 | + | 0.170833i | \(0.945354\pi\) | |||||||
\(930\) | 3.90066 | + | 0.0147721i | 0.127908 | + | 0.000484396i | ||||
\(931\) | −1.41156 | − | 0.513765i | −0.0462619 | − | 0.0168380i | ||||
\(932\) | 18.8506 | + | 6.86106i | 0.617472 | + | 0.224742i | ||||
\(933\) | 24.7289 | + | 0.0936503i | 0.809589 | + | 0.00306597i | ||||
\(934\) | 2.04200 | − | 11.5808i | 0.0668164 | − | 0.378935i | ||||
\(935\) | −10.8475 | − | 18.7883i | −0.354750 | − | 0.614445i | ||||
\(936\) | 1.31192 | − | 7.12430i | 0.0428814 | − | 0.232865i | ||||
\(937\) | −17.8822 | + | 30.9729i | −0.584186 | + | 1.01184i | 0.410790 | + | 0.911730i | \(0.365253\pi\) |
−0.994976 | + | 0.100110i | \(0.968081\pi\) | |||||||
\(938\) | −6.99134 | − | 5.86643i | −0.228275 | − | 0.191546i | ||||
\(939\) | −2.14407 | − | 12.4348i | −0.0699692 | − | 0.405795i | ||||
\(940\) | −1.53812 | − | 8.72311i | −0.0501679 | − | 0.284516i | ||||
\(941\) | 6.46631 | − | 5.42588i | 0.210796 | − | 0.176879i | −0.531277 | − | 0.847198i | \(-0.678287\pi\) |
0.742072 | + | 0.670320i | \(0.233843\pi\) | |||||||
\(942\) | −8.74900 | − | 7.39792i | −0.285058 | − | 0.241037i | ||||
\(943\) | 3.32138 | − | 1.20888i | 0.108159 | − | 0.0393667i | ||||
\(944\) | 8.18469 | 0.266389 | ||||||||
\(945\) | −2.70568 | − | 4.81180i | −0.0880157 | − | 0.156528i | ||||
\(946\) | 26.8121 | 0.871736 | ||||||||
\(947\) | −1.96694 | + | 0.715906i | −0.0639168 | + | 0.0232638i | −0.373781 | − | 0.927517i | \(-0.621939\pi\) |
0.309864 | + | 0.950781i | \(0.399717\pi\) | |||||||
\(948\) | −1.66094 | + | 9.21545i | −0.0539448 | + | 0.299304i | ||||
\(949\) | 8.77023 | − | 7.35910i | 0.284694 | − | 0.238886i | ||||
\(950\) | 1.00982 | + | 5.72696i | 0.0327628 | + | 0.185807i | ||||
\(951\) | 53.1155 | + | 19.5606i | 1.72239 | + | 0.634295i | ||||
\(952\) | 4.99993 | + | 4.19544i | 0.162049 | + | 0.135975i | ||||
\(953\) | −27.4754 | + | 47.5887i | −0.890014 | + | 1.54155i | −0.0501582 | + | 0.998741i | \(0.515973\pi\) |
−0.839856 | + | 0.542809i | \(0.817361\pi\) | |||||||
\(954\) | −3.73544 | + | 6.35827i | −0.120939 | + | 0.205857i | ||||
\(955\) | −1.96178 | − | 3.39791i | −0.0634818 | − | 0.109954i | ||||
\(956\) | 4.47638 | − | 25.3868i | 0.144777 | − | 0.821069i | ||||
\(957\) | 1.82168 | + | 3.18301i | 0.0588865 | + | 0.102892i | ||||
\(958\) | 19.4507 | + | 7.07947i | 0.628423 | + | 0.228727i | ||||
\(959\) | −15.8001 | − | 5.75075i | −0.510210 | − | 0.185701i | ||||
\(960\) | −0.926085 | + | 1.59009i | −0.0298893 | + | 0.0513199i | ||||
\(961\) | −4.60279 | + | 26.1037i | −0.148477 | + | 0.842055i | ||||
\(962\) | −6.60419 | − | 11.4388i | −0.212928 | − | 0.368802i | ||||
\(963\) | −5.86419 | + | 4.84543i | −0.188971 | + | 0.156142i | ||||
\(964\) | −8.35247 | + | 14.4669i | −0.269015 | + | 0.465948i | ||||
\(965\) | 3.02979 | + | 2.54229i | 0.0975322 | + | 0.0818393i | ||||
\(966\) | −3.52816 | + | 2.93778i | −0.113517 | + | 0.0945217i | ||||
\(967\) | 7.39603 | + | 41.9450i | 0.237840 | + | 1.34886i | 0.836549 | + | 0.547892i | \(0.184570\pi\) |
−0.598709 | + | 0.800967i | \(0.704319\pi\) | |||||||
\(968\) | 0.927841 | − | 0.778551i | 0.0298219 | − | 0.0250236i | ||||
\(969\) | 15.9795 | − | 5.74763i | 0.513336 | − | 0.184641i | ||||
\(970\) | 16.4004 | − | 5.96924i | 0.526584 | − | 0.191661i | ||||
\(971\) | 16.1495 | 0.518262 | 0.259131 | − | 0.965842i | \(-0.416564\pi\) | ||||
0.259131 | + | 0.965842i | \(0.416564\pi\) | |||||||
\(972\) | 11.7496 | + | 10.2444i | 0.376868 | + | 0.328588i | ||||
\(973\) | 6.73718 | 0.215984 | ||||||||
\(974\) | 8.58814 | − | 3.12583i | 0.275182 | − | 0.100158i | ||||
\(975\) | −15.2358 | + | 5.48011i | −0.487935 | + | 0.175504i | ||||
\(976\) | −7.39042 | + | 6.20130i | −0.236562 | + | 0.198499i | ||||
\(977\) | −1.41408 | − | 8.01964i | −0.0452404 | − | 0.256571i | 0.953796 | − | 0.300454i | \(-0.0971382\pi\) |
−0.999037 | + | 0.0438831i | \(0.986027\pi\) | |||||||
\(978\) | 1.25471 | − | 1.04475i | 0.0401211 | − | 0.0334075i | ||||
\(979\) | 36.5943 | + | 30.7062i | 1.16956 | + | 0.981375i | ||||
\(980\) | −0.531195 | + | 0.920056i | −0.0169684 | + | 0.0293901i | ||||
\(981\) | 36.9622 | − | 30.5409i | 1.18011 | − | 0.975096i | ||||
\(982\) | 8.51843 | + | 14.7544i | 0.271834 | + | 0.470831i | ||||
\(983\) | 1.26879 | − | 7.19565i | 0.0404680 | − | 0.229506i | −0.957865 | − | 0.287218i | \(-0.907270\pi\) |
0.998333 | + | 0.0577125i | \(0.0183807\pi\) | |||||||
\(984\) | −1.16236 | + | 1.99577i | −0.0370547 | + | 0.0636229i | ||||
\(985\) | −8.26239 | − | 3.00726i | −0.263262 | − | 0.0958194i | ||||
\(986\) | −4.15081 | − | 1.51077i | −0.132189 | − | 0.0481128i | ||||
\(987\) | 7.17308 | + | 12.5335i | 0.228322 | + | 0.398946i | ||||
\(988\) | −0.629862 | + | 3.57213i | −0.0200386 | + | 0.113644i | ||||
\(989\) | −11.3578 | − | 19.6723i | −0.361158 | − | 0.625544i | ||||
\(990\) | −5.05112 | + | 8.59774i | −0.160535 | + | 0.273254i | ||||
\(991\) | 4.86555 | − | 8.42737i | 0.154559 | − | 0.267704i | −0.778339 | − | 0.627844i | \(-0.783938\pi\) |
0.932898 | + | 0.360140i | \(0.117271\pi\) | |||||||
\(992\) | 1.62387 | + | 1.36259i | 0.0515579 | + | 0.0432622i | ||||
\(993\) | −47.5654 | − | 17.5167i | −1.50944 | − | 0.555874i | ||||
\(994\) | 1.13115 | + | 6.41505i | 0.0358778 | + | 0.203473i | ||||
\(995\) | −22.8907 | + | 19.2076i | −0.725684 | + | 0.608921i | ||||
\(996\) | 4.73348 | − | 26.2629i | 0.149986 | − | 0.832171i | ||||
\(997\) | −42.3323 | + | 15.4077i | −1.34068 | + | 0.487967i | −0.910026 | − | 0.414551i | \(-0.863939\pi\) |
−0.430652 | + | 0.902518i | \(0.641716\pi\) | |||||||
\(998\) | 41.3846 | 1.31001 | ||||||||
\(999\) | 28.4211 | + | 0.322911i | 0.899204 | + | 0.0102165i |
(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 | 378.2.u.e.169.1 | yes | 36 | |
27.4 | even | 9 | inner | 378.2.u.e.85.1 | ✓ | 36 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
378.2.u.e.85.1 | ✓ | 36 | 27.4 | even | 9 | inner | |
378.2.u.e.169.1 | yes | 36 | 1.1 | even | 1 | trivial |