Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [418,2,Mod(21,418)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(418, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([9, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("418.21");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 418 = 2 \cdot 11 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 418.q (of order \(18\), 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: | \(3.33774680449\) |
Analytic rank: | \(0\) |
Dimension: | \(60\) |
Relative dimension: | \(10\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 21.4 | ||
Character | \(\chi\) | \(=\) | 418.21 |
Dual form | 418.2.q.b.219.4 |
$q$-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 \(\left(\mathbb{Z}/418\mathbb{Z}\right)^\times\).
\(n\) | \(287\) | \(343\) |
\(\chi(n)\) | \(e\left(\frac{1}{18}\right)\) | \(-1\) |
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 | ||||
\(3\) | −0.596920 | + | 0.711382i | −0.344632 | + | 0.410717i | −0.910322 | − | 0.413902i | \(-0.864166\pi\) |
0.565689 | + | 0.824618i | \(0.308610\pi\) | |||||||
\(4\) | −0.939693 | − | 0.342020i | −0.469846 | − | 0.171010i | ||||
\(5\) | 0.587101 | − | 0.213687i | 0.262560 | − | 0.0955639i | −0.207386 | − | 0.978259i | \(-0.566496\pi\) |
0.469946 | + | 0.882695i | \(0.344273\pi\) | |||||||
\(6\) | 0.596920 | + | 0.711382i | 0.243692 | + | 0.290421i | ||||
\(7\) | 1.73498 | − | 1.00169i | 0.655762 | − | 0.378604i | −0.134899 | − | 0.990859i | \(-0.543071\pi\) |
0.790660 | + | 0.612255i | \(0.209738\pi\) | |||||||
\(8\) | −0.500000 | + | 0.866025i | −0.176777 | + | 0.306186i | ||||
\(9\) | 0.371194 | + | 2.10515i | 0.123731 | + | 0.701715i | ||||
\(10\) | −0.108492 | − | 0.615288i | −0.0343082 | − | 0.194571i | ||||
\(11\) | −1.98684 | − | 2.65565i | −0.599055 | − | 0.800708i | ||||
\(12\) | 0.804229 | − | 0.464322i | 0.232161 | − | 0.134038i | ||||
\(13\) | 2.81401 | − | 2.36123i | 0.780466 | − | 0.654888i | −0.162900 | − | 0.986643i | \(-0.552085\pi\) |
0.943366 | + | 0.331754i | \(0.107640\pi\) | |||||||
\(14\) | −0.685198 | − | 1.88257i | −0.183127 | − | 0.503137i | ||||
\(15\) | −0.198439 | + | 0.545208i | −0.0512368 | + | 0.140772i | ||||
\(16\) | 0.766044 | + | 0.642788i | 0.191511 | + | 0.160697i | ||||
\(17\) | 6.52738 | + | 1.15095i | 1.58312 | + | 0.279147i | 0.894871 | − | 0.446325i | \(-0.147268\pi\) |
0.688251 | + | 0.725472i | \(0.258379\pi\) | |||||||
\(18\) | 2.13762 | 0.503842 | ||||||||
\(19\) | 3.72113 | − | 2.27006i | 0.853687 | − | 0.520787i | ||||
\(20\) | −0.624780 | −0.139705 | ||||||||
\(21\) | −0.323060 | + | 1.83217i | −0.0704975 | + | 0.399811i | ||||
\(22\) | −2.96031 | + | 1.49551i | −0.631141 | + | 0.318843i | ||||
\(23\) | 0.0514560 | + | 0.0187284i | 0.0107293 | + | 0.00390515i | 0.347379 | − | 0.937725i | \(-0.387072\pi\) |
−0.336650 | + | 0.941630i | \(0.609294\pi\) | |||||||
\(24\) | −0.317615 | − | 0.872639i | −0.0648328 | − | 0.178127i | ||||
\(25\) | −3.53120 | + | 2.96303i | −0.706239 | + | 0.592605i | ||||
\(26\) | −1.83671 | − | 3.18128i | −0.360209 | − | 0.623901i | ||||
\(27\) | −4.13182 | − | 2.38551i | −0.795170 | − | 0.459091i | ||||
\(28\) | −1.97295 | + | 0.347884i | −0.372852 | + | 0.0657439i | ||||
\(29\) | −0.682976 | − | 3.87335i | −0.126825 | − | 0.719263i | −0.980207 | − | 0.197976i | \(-0.936563\pi\) |
0.853381 | − | 0.521287i | \(-0.174548\pi\) | |||||||
\(30\) | 0.502466 | + | 0.290099i | 0.0917374 | + | 0.0529646i | ||||
\(31\) | 8.00685 | − | 4.62276i | 1.43807 | − | 0.830272i | 0.440357 | − | 0.897823i | \(-0.354852\pi\) |
0.997716 | + | 0.0675510i | \(0.0215186\pi\) | |||||||
\(32\) | 0.766044 | − | 0.642788i | 0.135419 | − | 0.113630i | ||||
\(33\) | 3.07517 | + | 0.171807i | 0.535318 | + | 0.0299077i | ||||
\(34\) | 2.26694 | − | 6.22835i | 0.388776 | − | 1.06815i | ||||
\(35\) | 0.804561 | − | 0.958839i | 0.135996 | − | 0.162073i | ||||
\(36\) | 0.371194 | − | 2.10515i | 0.0618657 | − | 0.350858i | ||||
\(37\) | − | 0.891999i | − | 0.146644i | −0.997308 | − | 0.0733218i | \(-0.976640\pi\) | ||
0.997308 | − | 0.0733218i | \(-0.0233600\pi\) | |||||||
\(38\) | −1.58940 | − | 4.05879i | −0.257835 | − | 0.658423i | ||||
\(39\) | 3.41130i | 0.546246i | ||||||||
\(40\) | −0.108492 | + | 0.615288i | −0.0171541 | + | 0.0972856i | ||||
\(41\) | −2.38237 | − | 1.99905i | −0.372064 | − | 0.312199i | 0.437513 | − | 0.899212i | \(-0.355859\pi\) |
−0.809578 | + | 0.587013i | \(0.800304\pi\) | |||||||
\(42\) | 1.74823 | + | 0.636304i | 0.269758 | + | 0.0981839i | ||||
\(43\) | 0.660856 | + | 1.81569i | 0.100780 | + | 0.276890i | 0.979828 | − | 0.199843i | \(-0.0640432\pi\) |
−0.879048 | + | 0.476733i | \(0.841821\pi\) | |||||||
\(44\) | 0.958735 | + | 3.17503i | 0.144535 | + | 0.478654i | ||||
\(45\) | 0.667772 | + | 1.15661i | 0.0995455 | + | 0.172418i | ||||
\(46\) | 0.0273792 | − | 0.0474221i | 0.00403684 | − | 0.00699201i | ||||
\(47\) | −0.340081 | − | 1.92869i | −0.0496058 | − | 0.281329i | 0.949907 | − | 0.312532i | \(-0.101177\pi\) |
−0.999513 | + | 0.0312033i | \(0.990066\pi\) | |||||||
\(48\) | −0.914535 | + | 0.161257i | −0.132002 | + | 0.0232755i | ||||
\(49\) | −1.49322 | + | 2.58634i | −0.213318 | + | 0.369477i | ||||
\(50\) | 2.30482 | + | 3.99207i | 0.325951 | + | 0.564564i | ||||
\(51\) | −4.71509 | + | 3.95643i | −0.660245 | + | 0.554011i | ||||
\(52\) | −3.45189 | + | 1.25639i | −0.478691 | + | 0.174229i | ||||
\(53\) | −3.91087 | + | 10.7450i | −0.537200 | + | 1.47594i | 0.313138 | + | 0.949708i | \(0.398620\pi\) |
−0.850338 | + | 0.526237i | \(0.823603\pi\) | |||||||
\(54\) | −3.06675 | + | 3.65481i | −0.417332 | + | 0.497357i | ||||
\(55\) | −1.73396 | − | 1.13457i | −0.233807 | − | 0.152986i | ||||
\(56\) | 2.00338i | 0.267714i | ||||||||
\(57\) | −0.606343 | + | 4.00219i | −0.0803121 | + | 0.530103i | ||||
\(58\) | −3.93310 | −0.516441 | ||||||||
\(59\) | −5.63721 | − | 0.993993i | −0.733903 | − | 0.129407i | −0.205808 | − | 0.978592i | \(-0.565982\pi\) |
−0.528095 | + | 0.849186i | \(0.677093\pi\) | |||||||
\(60\) | 0.372944 | − | 0.444457i | 0.0481469 | − | 0.0573792i | ||||
\(61\) | 0.881398 | − | 2.42162i | 0.112851 | − | 0.310057i | −0.870391 | − | 0.492362i | \(-0.836134\pi\) |
0.983242 | + | 0.182305i | \(0.0583559\pi\) | |||||||
\(62\) | −3.16215 | − | 8.68794i | −0.401594 | − | 1.10337i | ||||
\(63\) | 2.75272 | + | 3.28057i | 0.346811 | + | 0.413313i | ||||
\(64\) | −0.500000 | − | 0.866025i | −0.0625000 | − | 0.108253i | ||||
\(65\) | 1.14754 | − | 1.98760i | 0.142335 | − | 0.246532i | ||||
\(66\) | 0.703193 | − | 2.99861i | 0.0865571 | − | 0.369104i | ||||
\(67\) | 10.2810 | − | 1.81282i | 1.25602 | − | 0.221471i | 0.494254 | − | 0.869318i | \(-0.335441\pi\) |
0.761771 | + | 0.647847i | \(0.224330\pi\) | |||||||
\(68\) | −5.74008 | − | 3.31404i | −0.696087 | − | 0.401886i | ||||
\(69\) | −0.0440382 | + | 0.0254255i | −0.00530158 | + | 0.00306087i | ||||
\(70\) | −0.804561 | − | 0.958839i | −0.0961635 | − | 0.114603i | ||||
\(71\) | 4.93616 | + | 13.5620i | 0.585815 | + | 1.60951i | 0.778077 | + | 0.628169i | \(0.216195\pi\) |
−0.192262 | + | 0.981344i | \(0.561582\pi\) | |||||||
\(72\) | −2.00871 | − | 0.731110i | −0.236728 | − | 0.0861621i | ||||
\(73\) | −8.96655 | + | 10.6859i | −1.04946 | + | 1.25069i | −0.0822723 | + | 0.996610i | \(0.526218\pi\) |
−0.967183 | + | 0.254082i | \(0.918227\pi\) | |||||||
\(74\) | −0.878447 | − | 0.154894i | −0.102117 | − | 0.0180061i | ||||
\(75\) | − | 4.28072i | − | 0.494295i | ||||||
\(76\) | −4.27313 | + | 0.860453i | −0.490161 | + | 0.0987007i | ||||
\(77\) | −6.10728 | − | 2.61730i | −0.695989 | − | 0.298269i | ||||
\(78\) | 3.35948 | + | 0.592367i | 0.380386 | + | 0.0670723i | ||||
\(79\) | −7.79364 | − | 6.53964i | −0.876853 | − | 0.735767i | 0.0886762 | − | 0.996061i | \(-0.471736\pi\) |
−0.965530 | + | 0.260293i | \(0.916181\pi\) | |||||||
\(80\) | 0.587101 | + | 0.213687i | 0.0656399 | + | 0.0238910i | ||||
\(81\) | −1.86274 | + | 0.677983i | −0.206972 | + | 0.0753315i | ||||
\(82\) | −2.38237 | + | 1.99905i | −0.263089 | + | 0.220758i | ||||
\(83\) | −15.3744 | + | 8.87642i | −1.68756 | + | 0.974314i | −0.731182 | + | 0.682182i | \(0.761031\pi\) |
−0.956378 | + | 0.292132i | \(0.905635\pi\) | |||||||
\(84\) | 0.930215 | − | 1.61118i | 0.101495 | − | 0.175794i | ||||
\(85\) | 4.07818 | − | 0.719093i | 0.442340 | − | 0.0779966i | ||||
\(86\) | 1.90286 | − | 0.335525i | 0.205191 | − | 0.0361806i | ||||
\(87\) | 3.16311 | + | 1.82622i | 0.339121 | + | 0.195792i | ||||
\(88\) | 3.29328 | − | 0.392832i | 0.351065 | − | 0.0418760i | ||||
\(89\) | 7.51458 | + | 8.95553i | 0.796544 | + | 0.949284i | 0.999553 | − | 0.0298924i | \(-0.00951648\pi\) |
−0.203009 | + | 0.979177i | \(0.565072\pi\) | |||||||
\(90\) | 1.25500 | − | 0.456783i | 0.132289 | − | 0.0481491i | ||||
\(91\) | 2.51702 | − | 6.91547i | 0.263856 | − | 0.724938i | ||||
\(92\) | −0.0419473 | − | 0.0351980i | −0.00437331 | − | 0.00366964i | ||||
\(93\) | −1.49091 | + | 8.45535i | −0.154600 | + | 0.876779i | ||||
\(94\) | −1.95845 | −0.201998 | ||||||||
\(95\) | 1.69960 | − | 2.12791i | 0.174375 | − | 0.218319i | ||||
\(96\) | 0.928643i | 0.0947793i | ||||||||
\(97\) | 8.40770 | + | 1.48251i | 0.853673 | + | 0.150526i | 0.583327 | − | 0.812238i | \(-0.301751\pi\) |
0.270346 | + | 0.962763i | \(0.412862\pi\) | |||||||
\(98\) | 2.28775 | + | 1.91965i | 0.231098 | + | 0.193914i | ||||
\(99\) | 4.85302 | − | 5.16835i | 0.487747 | − | 0.519439i | ||||
\(100\) | 4.33165 | − | 1.57659i | 0.433165 | − | 0.157659i | ||||
\(101\) | 3.70444 | + | 4.41479i | 0.368606 | + | 0.439288i | 0.918184 | − | 0.396155i | \(-0.129656\pi\) |
−0.549578 | + | 0.835443i | \(0.685211\pi\) | |||||||
\(102\) | 3.07756 | + | 5.33049i | 0.304724 | + | 0.527797i | ||||
\(103\) | −14.4098 | − | 8.31950i | −1.41984 | − | 0.819745i | −0.423556 | − | 0.905870i | \(-0.639218\pi\) |
−0.996284 | + | 0.0861250i | \(0.972552\pi\) | |||||||
\(104\) | 0.637884 | + | 3.61762i | 0.0625497 | + | 0.354737i | ||||
\(105\) | 0.201842 | + | 1.14470i | 0.0196977 | + | 0.111711i | ||||
\(106\) | 9.90268 | + | 5.71731i | 0.961833 | + | 0.555315i | ||||
\(107\) | −6.19600 | − | 10.7318i | −0.598990 | − | 1.03748i | −0.992970 | − | 0.118363i | \(-0.962235\pi\) |
0.393980 | − | 0.919119i | \(-0.371098\pi\) | |||||||
\(108\) | 3.06675 | + | 3.65481i | 0.295098 | + | 0.351684i | ||||
\(109\) | −3.65905 | + | 1.33179i | −0.350474 | + | 0.127562i | −0.511257 | − | 0.859428i | \(-0.670820\pi\) |
0.160784 | + | 0.986990i | \(0.448598\pi\) | |||||||
\(110\) | −1.41843 | + | 1.51060i | −0.135242 | + | 0.144030i | ||||
\(111\) | 0.634552 | + | 0.532452i | 0.0602290 | + | 0.0505381i | ||||
\(112\) | 1.97295 | + | 0.347884i | 0.186426 | + | 0.0328720i | ||||
\(113\) | − | 1.39656i | − | 0.131377i | −0.997840 | − | 0.0656884i | \(-0.979076\pi\) | ||
0.997840 | − | 0.0656884i | \(-0.0209243\pi\) | |||||||
\(114\) | 3.83610 | + | 1.29210i | 0.359284 | + | 0.121017i | ||||
\(115\) | 0.0342119 | 0.00319028 | ||||||||
\(116\) | −0.682976 | + | 3.87335i | −0.0634127 | + | 0.359631i | ||||
\(117\) | 6.01529 | + | 5.04742i | 0.556113 | + | 0.466634i | ||||
\(118\) | −1.95778 | + | 5.37897i | −0.180229 | + | 0.495174i | ||||
\(119\) | 12.4778 | − | 4.54154i | 1.14384 | − | 0.416323i | ||||
\(120\) | −0.372944 | − | 0.444457i | −0.0340450 | − | 0.0405732i | ||||
\(121\) | −3.10492 | + | 10.5527i | −0.282266 | + | 0.959336i | ||||
\(122\) | −2.23178 | − | 1.28852i | −0.202056 | − | 0.116657i | ||||
\(123\) | 2.84418 | − | 0.501505i | 0.256451 | − | 0.0452192i | ||||
\(124\) | −9.10505 | + | 1.60547i | −0.817658 | + | 0.144175i | ||||
\(125\) | −3.00196 | + | 5.19955i | −0.268503 | + | 0.465062i | ||||
\(126\) | 3.70874 | − | 2.14124i | 0.330400 | − | 0.190757i | ||||
\(127\) | 8.69598 | − | 7.29679i | 0.771643 | − | 0.647486i | −0.169486 | − | 0.985533i | \(-0.554211\pi\) |
0.941129 | + | 0.338047i | \(0.109766\pi\) | |||||||
\(128\) | −0.939693 | + | 0.342020i | −0.0830579 | + | 0.0302306i | ||||
\(129\) | −1.68613 | − | 0.613699i | −0.148455 | − | 0.0540332i | ||||
\(130\) | −1.75814 | − | 1.47525i | −0.154199 | − | 0.129388i | ||||
\(131\) | −7.34396 | − | 1.29494i | −0.641645 | − | 0.113139i | −0.156647 | − | 0.987655i | \(-0.550069\pi\) |
−0.484998 | + | 0.874515i | \(0.661180\pi\) | |||||||
\(132\) | −2.83095 | − | 1.21321i | −0.246403 | − | 0.105597i | ||||
\(133\) | 4.18220 | − | 7.66594i | 0.362643 | − | 0.664721i | ||||
\(134\) | − | 10.4396i | − | 0.901845i | ||||||
\(135\) | −2.93555 | − | 0.517617i | −0.252652 | − | 0.0445494i | ||||
\(136\) | −4.26044 | + | 5.07740i | −0.365330 | + | 0.435383i | ||||
\(137\) | −18.3590 | − | 6.68215i | −1.56852 | − | 0.570894i | −0.595851 | − | 0.803095i | \(-0.703185\pi\) |
−0.972668 | + | 0.232201i | \(0.925407\pi\) | |||||||
\(138\) | 0.0173920 | + | 0.0477843i | 0.00148051 | + | 0.00406767i | ||||
\(139\) | 8.60285 | + | 10.2525i | 0.729684 | + | 0.869604i | 0.995533 | − | 0.0944110i | \(-0.0300968\pi\) |
−0.265849 | + | 0.964015i | \(0.585652\pi\) | |||||||
\(140\) | −1.08398 | + | 0.625838i | −0.0916132 | + | 0.0528929i | ||||
\(141\) | 1.57504 | + | 0.909349i | 0.132642 | + | 0.0765810i | ||||
\(142\) | 14.2131 | − | 2.50616i | 1.19274 | − | 0.210312i | ||||
\(143\) | −11.8616 | − | 2.78162i | −0.991916 | − | 0.232610i | ||||
\(144\) | −1.06881 | + | 1.85123i | −0.0890676 | + | 0.154270i | ||||
\(145\) | −1.22866 | − | 2.12810i | −0.102035 | − | 0.176729i | ||||
\(146\) | 8.96655 | + | 10.6859i | 0.742077 | + | 0.884373i | ||||
\(147\) | −0.948540 | − | 2.60609i | −0.0782343 | − | 0.214947i | ||||
\(148\) | −0.305081 | + | 0.838204i | −0.0250775 | + | 0.0689000i | ||||
\(149\) | −1.39513 | + | 1.66266i | −0.114294 | + | 0.136210i | −0.820158 | − | 0.572137i | \(-0.806114\pi\) |
0.705864 | + | 0.708347i | \(0.250559\pi\) | |||||||
\(150\) | −4.21569 | − | 0.743339i | −0.344209 | − | 0.0606934i | ||||
\(151\) | −6.94511 | −0.565185 | −0.282593 | − | 0.959240i | \(-0.591194\pi\) | ||||
−0.282593 | + | 0.959240i | \(0.591194\pi\) | |||||||
\(152\) | 0.105360 | + | 4.35763i | 0.00854581 | + | 0.353450i | ||||
\(153\) | 14.1683i | 1.14544i | ||||||||
\(154\) | −3.63805 | + | 5.56000i | −0.293162 | + | 0.448038i | ||||
\(155\) | 3.71301 | − | 4.42499i | 0.298236 | − | 0.355424i | ||||
\(156\) | 1.16673 | − | 3.20558i | 0.0934135 | − | 0.256652i | ||||
\(157\) | 21.5563 | − | 7.84583i | 1.72038 | − | 0.626166i | 0.722504 | − | 0.691367i | \(-0.242991\pi\) |
0.997872 | + | 0.0652011i | \(0.0207689\pi\) | |||||||
\(158\) | −7.79364 | + | 6.53964i | −0.620029 | + | 0.520266i | ||||
\(159\) | −5.30935 | − | 9.19606i | −0.421058 | − | 0.729295i | ||||
\(160\) | 0.312390 | − | 0.541076i | 0.0246966 | − | 0.0427758i | ||||
\(161\) | 0.108035 | − | 0.0190495i | 0.00851438 | − | 0.00150131i | ||||
\(162\) | 0.344221 | + | 1.95218i | 0.0270446 | + | 0.153377i | ||||
\(163\) | 8.07550 | − | 13.9872i | 0.632522 | − | 1.09556i | −0.354512 | − | 0.935051i | \(-0.615353\pi\) |
0.987034 | − | 0.160509i | \(-0.0513135\pi\) | |||||||
\(164\) | 1.55498 | + | 2.69331i | 0.121424 | + | 0.210312i | ||||
\(165\) | 1.84215 | − | 0.556256i | 0.143411 | − | 0.0433045i | ||||
\(166\) | 6.07183 | + | 16.6822i | 0.471265 | + | 1.29479i | ||||
\(167\) | −5.66988 | − | 2.06367i | −0.438748 | − | 0.159691i | 0.113195 | − | 0.993573i | \(-0.463891\pi\) |
−0.551944 | + | 0.833881i | \(0.686114\pi\) | |||||||
\(168\) | −1.42517 | − | 1.19586i | −0.109954 | − | 0.0922627i | ||||
\(169\) | 0.0857939 | − | 0.486561i | 0.00659953 | − | 0.0374278i | ||||
\(170\) | − | 4.14109i | − | 0.317607i | ||||||
\(171\) | 6.16007 | + | 6.99090i | 0.471072 | + | 0.534608i | ||||
\(172\) | − | 1.93221i | − | 0.147330i | ||||||
\(173\) | 3.85868 | − | 21.8837i | 0.293370 | − | 1.66378i | −0.380385 | − | 0.924828i | \(-0.624208\pi\) |
0.673755 | − | 0.738955i | \(-0.264681\pi\) | |||||||
\(174\) | 2.34775 | − | 2.79794i | 0.177982 | − | 0.212111i | ||||
\(175\) | −3.15852 | + | 8.67797i | −0.238762 | + | 0.655993i | ||||
\(176\) | 0.185008 | − | 3.31146i | 0.0139455 | − | 0.249611i | ||||
\(177\) | 4.07208 | − | 3.41688i | 0.306076 | − | 0.256828i | ||||
\(178\) | 10.1244 | − | 5.84531i | 0.758854 | − | 0.438124i | ||||
\(179\) | −8.05333 | − | 4.64959i | −0.601934 | − | 0.347527i | 0.167868 | − | 0.985809i | \(-0.446312\pi\) |
−0.769802 | + | 0.638283i | \(0.779645\pi\) | |||||||
\(180\) | −0.231915 | − | 1.31525i | −0.0172859 | − | 0.0980332i | ||||
\(181\) | 11.9990 | − | 2.11574i | 0.891877 | − | 0.157262i | 0.291114 | − | 0.956689i | \(-0.405974\pi\) |
0.600764 | + | 0.799426i | \(0.294863\pi\) | |||||||
\(182\) | −6.37333 | − | 3.67964i | −0.472423 | − | 0.272753i | ||||
\(183\) | 1.19657 | + | 2.07253i | 0.0884532 | + | 0.153205i | ||||
\(184\) | −0.0419473 | + | 0.0351980i | −0.00309240 | + | 0.00259483i | ||||
\(185\) | −0.190609 | − | 0.523694i | −0.0140138 | − | 0.0385027i | ||||
\(186\) | 8.06800 | + | 2.93651i | 0.591574 | + | 0.215315i | ||||
\(187\) | −9.91234 | − | 19.6212i | −0.724862 | − | 1.43484i | ||||
\(188\) | −0.340081 | + | 1.92869i | −0.0248029 | + | 0.140664i | ||||
\(189\) | −9.55818 | −0.695256 | ||||||||
\(190\) | −1.80045 | − | 2.04329i | −0.130619 | − | 0.148236i | ||||
\(191\) | −20.7104 | −1.49855 | −0.749276 | − | 0.662258i | \(-0.769598\pi\) | ||||
−0.749276 | + | 0.662258i | \(0.769598\pi\) | |||||||
\(192\) | 0.914535 | + | 0.161257i | 0.0660009 | + | 0.0116377i | ||||
\(193\) | 5.84926 | + | 4.90811i | 0.421039 | + | 0.353293i | 0.828558 | − | 0.559903i | \(-0.189162\pi\) |
−0.407519 | + | 0.913197i | \(0.633606\pi\) | |||||||
\(194\) | 2.91997 | − | 8.02254i | 0.209641 | − | 0.575985i | ||||
\(195\) | 0.728953 | + | 2.00278i | 0.0522014 | + | 0.143422i | ||||
\(196\) | 2.28775 | − | 1.91965i | 0.163411 | − | 0.137118i | ||||
\(197\) | 4.26737 | − | 2.46377i | 0.304038 | − | 0.175536i | −0.340218 | − | 0.940347i | \(-0.610501\pi\) |
0.644255 | + | 0.764810i | \(0.277167\pi\) | |||||||
\(198\) | −4.24712 | − | 5.67677i | −0.301829 | − | 0.403430i | ||||
\(199\) | 2.26017 | + | 12.8181i | 0.160219 | + | 0.908648i | 0.953858 | + | 0.300259i | \(0.0970730\pi\) |
−0.793639 | + | 0.608389i | \(0.791816\pi\) | |||||||
\(200\) | −0.800457 | − | 4.53962i | −0.0566009 | − | 0.321000i | ||||
\(201\) | −4.84734 | + | 8.39583i | −0.341905 | + | 0.592196i | ||||
\(202\) | 4.99098 | − | 2.88155i | 0.351164 | − | 0.202745i | ||||
\(203\) | −5.06485 | − | 6.03606i | −0.355483 | − | 0.423648i | ||||
\(204\) | 5.78392 | − | 2.10517i | 0.404955 | − | 0.147392i | ||||
\(205\) | −1.82587 | − | 0.664561i | −0.127524 | − | 0.0464150i | ||||
\(206\) | −10.6953 | + | 12.7462i | −0.745180 | + | 0.888071i | ||||
\(207\) | −0.0203260 | + | 0.115274i | −0.00141275 | + | 0.00801211i | ||||
\(208\) | 3.67343 | 0.254706 | ||||||||
\(209\) | −13.4218 | − | 5.37178i | −0.928404 | − | 0.371574i | ||||
\(210\) | 1.16236 | 0.0802104 | ||||||||
\(211\) | −3.19358 | + | 18.1117i | −0.219855 | + | 1.24686i | 0.652425 | + | 0.757853i | \(0.273752\pi\) |
−0.872280 | + | 0.489006i | \(0.837359\pi\) | |||||||
\(212\) | 7.35004 | − | 8.75943i | 0.504803 | − | 0.601600i | ||||
\(213\) | −12.5943 | − | 4.58393i | −0.862944 | − | 0.314086i | ||||
\(214\) | −11.6447 | + | 4.23832i | −0.796014 | + | 0.289725i | ||||
\(215\) | 0.775979 | + | 0.924776i | 0.0529213 | + | 0.0630692i | ||||
\(216\) | 4.13182 | − | 2.38551i | 0.281135 | − | 0.162313i | ||||
\(217\) | 9.26116 | − | 16.0408i | 0.628689 | − | 1.08892i | ||||
\(218\) | 0.676166 | + | 3.83473i | 0.0457957 | + | 0.259720i | ||||
\(219\) | −2.24945 | − | 12.7573i | −0.152004 | − | 0.862057i | ||||
\(220\) | 1.24134 | + | 1.65920i | 0.0836911 | + | 0.111863i | ||||
\(221\) | 21.0858 | − | 12.1739i | 1.41838 | − | 0.818903i | ||||
\(222\) | 0.634552 | − | 0.532452i | 0.0425883 | − | 0.0357358i | ||||
\(223\) | 2.74837 | + | 7.55108i | 0.184044 | + | 0.505658i | 0.997063 | − | 0.0765793i | \(-0.0243998\pi\) |
−0.813019 | + | 0.582237i | \(0.802178\pi\) | |||||||
\(224\) | 0.685198 | − | 1.88257i | 0.0457817 | − | 0.125784i | ||||
\(225\) | −7.54836 | − | 6.33383i | −0.503224 | − | 0.422255i | ||||
\(226\) | −1.37534 | − | 0.242509i | −0.0914861 | − | 0.0161315i | ||||
\(227\) | −17.2395 | −1.14423 | −0.572113 | − | 0.820175i | \(-0.693876\pi\) | ||||
−0.572113 | + | 0.820175i | \(0.693876\pi\) | |||||||
\(228\) | 1.93861 | − | 3.55345i | 0.128387 | − | 0.235333i | ||||
\(229\) | −21.3379 | −1.41005 | −0.705025 | − | 0.709183i | \(-0.749064\pi\) | ||||
−0.705025 | + | 0.709183i | \(0.749064\pi\) | |||||||
\(230\) | 0.00594084 | − | 0.0336922i | 0.000391727 | − | 0.00222159i | ||||
\(231\) | 5.50745 | − | 2.78229i | 0.362364 | − | 0.183061i | ||||
\(232\) | 3.69591 | + | 1.34520i | 0.242648 | + | 0.0883167i | ||||
\(233\) | 0.577345 | + | 1.58624i | 0.0378232 | + | 0.103918i | 0.957167 | − | 0.289538i | \(-0.0935016\pi\) |
−0.919343 | + | 0.393456i | \(0.871279\pi\) | |||||||
\(234\) | 6.01529 | − | 5.04742i | 0.393232 | − | 0.329960i | ||||
\(235\) | −0.611799 | − | 1.05967i | −0.0399094 | − | 0.0691251i | ||||
\(236\) | 4.95728 | + | 2.86209i | 0.322692 | + | 0.186306i | ||||
\(237\) | 9.30437 | − | 1.64061i | 0.604384 | − | 0.106569i | ||||
\(238\) | −2.30580 | − | 13.0769i | −0.149463 | − | 0.847646i | ||||
\(239\) | 4.45343 | + | 2.57119i | 0.288069 | + | 0.166316i | 0.637070 | − | 0.770806i | \(-0.280146\pi\) |
−0.349002 | + | 0.937122i | \(0.613479\pi\) | |||||||
\(240\) | −0.502466 | + | 0.290099i | −0.0324341 | + | 0.0187258i | ||||
\(241\) | 17.0892 | − | 14.3395i | 1.10081 | − | 0.923690i | 0.103332 | − | 0.994647i | \(-0.467050\pi\) |
0.997479 | + | 0.0709564i | \(0.0226051\pi\) | |||||||
\(242\) | 9.85322 | + | 4.89021i | 0.633389 | + | 0.314355i | ||||
\(243\) | 5.52496 | − | 15.1797i | 0.354426 | − | 0.973778i | ||||
\(244\) | −1.65649 | + | 1.97412i | −0.106046 | + | 0.126380i | ||||
\(245\) | −0.324006 | + | 1.83753i | −0.0207000 | + | 0.117395i | ||||
\(246\) | − | 2.88805i | − | 0.184135i | ||||||
\(247\) | 5.11117 | − | 15.1744i | 0.325216 | − | 0.965526i | ||||
\(248\) | 9.24551i | 0.587091i | ||||||||
\(249\) | 2.86277 | − | 16.2356i | 0.181421 | − | 1.02889i | ||||
\(250\) | 4.59927 | + | 3.85924i | 0.290883 | + | 0.244080i | ||||
\(251\) | 15.0520 | + | 5.47848i | 0.950073 | + | 0.345798i | 0.770136 | − | 0.637880i | \(-0.220188\pi\) |
0.179937 | + | 0.983678i | \(0.442411\pi\) | |||||||
\(252\) | −1.46469 | − | 4.02421i | −0.0922670 | − | 0.253502i | ||||
\(253\) | −0.0524987 | − | 0.173859i | −0.00330057 | − | 0.0109304i | ||||
\(254\) | −5.67590 | − | 9.83094i | −0.356137 | − | 0.616848i | ||||
\(255\) | −1.92280 | + | 3.33038i | −0.120410 | + | 0.208557i | ||||
\(256\) | 0.173648 | + | 0.984808i | 0.0108530 | + | 0.0615505i | ||||
\(257\) | −22.5380 | + | 3.97406i | −1.40588 | + | 0.247895i | −0.824559 | − | 0.565776i | \(-0.808577\pi\) |
−0.581325 | + | 0.813672i | \(0.697465\pi\) | |||||||
\(258\) | −0.897169 | + | 1.55394i | −0.0558553 | + | 0.0967442i | ||||
\(259\) | −0.893508 | − | 1.54760i | −0.0555199 | − | 0.0961633i | ||||
\(260\) | −1.75814 | + | 1.47525i | −0.109035 | + | 0.0914912i | ||||
\(261\) | 7.90045 | − | 2.87553i | 0.489025 | − | 0.177991i | ||||
\(262\) | −2.55053 | + | 7.00753i | −0.157572 | + | 0.432926i | ||||
\(263\) | 4.71924 | − | 5.62417i | 0.291001 | − | 0.346801i | −0.600661 | − | 0.799504i | \(-0.705096\pi\) |
0.891661 | + | 0.452703i | \(0.149540\pi\) | |||||||
\(264\) | −1.68637 | + | 2.57727i | −0.103789 | + | 0.158620i | ||||
\(265\) | 7.14413i | 0.438860i | ||||||||
\(266\) | −6.82325 | − | 5.44984i | −0.418360 | − | 0.334151i | ||||
\(267\) | −10.8564 | −0.664402 | ||||||||
\(268\) | −10.2810 | − | 1.81282i | −0.628012 | − | 0.110736i | ||||
\(269\) | 0.726159 | − | 0.865402i | 0.0442747 | − | 0.0527645i | −0.743453 | − | 0.668789i | \(-0.766813\pi\) |
0.787727 | + | 0.616024i | \(0.211258\pi\) | |||||||
\(270\) | −1.01951 | + | 2.80107i | −0.0620452 | + | 0.170468i | ||||
\(271\) | 4.13919 | + | 11.3723i | 0.251438 | + | 0.690821i | 0.999626 | + | 0.0273341i | \(0.00870180\pi\) |
−0.748188 | + | 0.663487i | \(0.769076\pi\) | |||||||
\(272\) | 4.26044 | + | 5.07740i | 0.258327 | + | 0.307863i | ||||
\(273\) | 3.41708 | + | 5.91855i | 0.206811 | + | 0.358207i | ||||
\(274\) | −9.76864 | + | 16.9198i | −0.590145 | + | 1.02216i | ||||
\(275\) | 14.8847 | + | 3.49055i | 0.897580 | + | 0.210488i | ||||
\(276\) | 0.0500784 | − | 0.00883017i | 0.00301437 | − | 0.000531514i | ||||
\(277\) | 6.69278 | + | 3.86408i | 0.402130 | + | 0.232170i | 0.687403 | − | 0.726276i | \(-0.258751\pi\) |
−0.285272 | + | 0.958446i | \(0.592084\pi\) | |||||||
\(278\) | 11.5906 | − | 6.69183i | 0.695157 | − | 0.401349i | ||||
\(279\) | 12.7037 | + | 15.1397i | 0.760549 | + | 0.906387i | ||||
\(280\) | 0.428098 | + | 1.17619i | 0.0255838 | + | 0.0702908i | ||||
\(281\) | −5.33617 | − | 1.94221i | −0.318329 | − | 0.115862i | 0.177914 | − | 0.984046i | \(-0.443065\pi\) |
−0.496243 | + | 0.868184i | \(0.665287\pi\) | |||||||
\(282\) | 1.16904 | − | 1.39320i | 0.0696151 | − | 0.0829640i | ||||
\(283\) | 6.04628 | + | 1.06612i | 0.359414 | + | 0.0633744i | 0.350440 | − | 0.936585i | \(-0.386032\pi\) |
0.00897442 | + | 0.999960i | \(0.497143\pi\) | |||||||
\(284\) | − | 14.4324i | − | 0.856404i | ||||||
\(285\) | 0.499233 | + | 2.47926i | 0.0295720 | + | 0.146859i | ||||
\(286\) | −4.79910 | + | 11.1984i | −0.283777 | + | 0.662173i | ||||
\(287\) | −6.13581 | − | 1.08191i | −0.362185 | − | 0.0638631i | ||||
\(288\) | 1.63751 | + | 1.37404i | 0.0964914 | + | 0.0809659i | ||||
\(289\) | 25.3072 | + | 9.21107i | 1.48866 | + | 0.541828i | ||||
\(290\) | −2.30913 | + | 0.840454i | −0.135597 | + | 0.0493532i | ||||
\(291\) | −6.07336 | + | 5.09615i | −0.356027 | + | 0.298742i | ||||
\(292\) | 12.0806 | − | 6.97474i | 0.706963 | − | 0.408166i | ||||
\(293\) | −6.53185 | + | 11.3135i | −0.381595 | + | 0.660942i | −0.991290 | − | 0.131694i | \(-0.957958\pi\) |
0.609696 | + | 0.792636i | \(0.291292\pi\) | |||||||
\(294\) | −2.73121 | + | 0.481587i | −0.159288 | + | 0.0280867i | ||||
\(295\) | −3.52202 | + | 0.621027i | −0.205060 | + | 0.0361576i | ||||
\(296\) | 0.772493 | + | 0.445999i | 0.0449003 | + | 0.0259232i | ||||
\(297\) | 1.87421 | + | 15.7123i | 0.108752 | + | 0.911720i | ||||
\(298\) | 1.39513 | + | 1.66266i | 0.0808180 | + | 0.0963151i | ||||
\(299\) | 0.189020 | − | 0.0687976i | 0.0109313 | − | 0.00397867i | ||||
\(300\) | −1.46409 | + | 4.02256i | −0.0845294 | + | 0.232243i | ||||
\(301\) | 2.96533 | + | 2.48821i | 0.170919 | + | 0.143418i | ||||
\(302\) | −1.20601 | + | 6.83960i | −0.0693979 | + | 0.393575i | ||||
\(303\) | −5.35186 | −0.307456 | ||||||||
\(304\) | 4.30972 | + | 0.652934i | 0.247179 | + | 0.0374484i | ||||
\(305\) | − | 1.61008i | − | 0.0921929i | ||||||
\(306\) | 13.9531 | + | 2.46030i | 0.797644 | + | 0.140646i | ||||
\(307\) | −12.5614 | − | 10.5402i | −0.716914 | − | 0.601563i | 0.209615 | − | 0.977784i | \(-0.432779\pi\) |
−0.926530 | + | 0.376221i | \(0.877223\pi\) | |||||||
\(308\) | 4.84379 | + | 4.54827i | 0.276001 | + | 0.259161i | ||||
\(309\) | 14.5199 | − | 5.28479i | 0.826005 | − | 0.300641i | ||||
\(310\) | −3.71301 | − | 4.42499i | −0.210885 | − | 0.251323i | ||||
\(311\) | 4.11021 | + | 7.11910i | 0.233069 | + | 0.403687i | 0.958710 | − | 0.284387i | \(-0.0917899\pi\) |
−0.725641 | + | 0.688074i | \(0.758457\pi\) | |||||||
\(312\) | −2.95428 | − | 1.70565i | −0.167253 | − | 0.0965635i | ||||
\(313\) | −0.261309 | − | 1.48196i | −0.0147701 | − | 0.0837653i | 0.976532 | − | 0.215374i | \(-0.0690970\pi\) |
−0.991302 | + | 0.131608i | \(0.957986\pi\) | |||||||
\(314\) | −3.98343 | − | 22.5912i | −0.224798 | − | 1.27489i | ||||
\(315\) | 2.31714 | + | 1.33780i | 0.130556 | + | 0.0753767i | ||||
\(316\) | 5.08694 | + | 8.81084i | 0.286163 | + | 0.495648i | ||||
\(317\) | 9.74503 | + | 11.6137i | 0.547336 | + | 0.652289i | 0.966816 | − | 0.255475i | \(-0.0822320\pi\) |
−0.419480 | + | 0.907765i | \(0.637788\pi\) | |||||||
\(318\) | −9.97831 | + | 3.63181i | −0.559556 | + | 0.203662i | ||||
\(319\) | −8.92928 | + | 9.50947i | −0.499944 | + | 0.532428i | ||||
\(320\) | −0.478609 | − | 0.401601i | −0.0267551 | − | 0.0224502i | ||||
\(321\) | 11.3329 | + | 1.99830i | 0.632542 | + | 0.111534i | ||||
\(322\) | − | 0.109702i | − | 0.00611345i | ||||||
\(323\) | 26.9020 | − | 10.5347i | 1.49687 | − | 0.586165i | ||||
\(324\) | 1.98229 | 0.110127 | ||||||||
\(325\) | −2.94042 | + | 16.6760i | −0.163105 | + | 0.925016i | ||||
\(326\) | −12.3724 | − | 10.3817i | −0.685243 | − | 0.574987i | ||||
\(327\) | 1.23675 | − | 3.39795i | 0.0683927 | − | 0.187907i | ||||
\(328\) | 2.92241 | − | 1.06367i | 0.161363 | − | 0.0587315i | ||||
\(329\) | −2.52199 | − | 3.00559i | −0.139042 | − | 0.165704i | ||||
\(330\) | −0.227920 | − | 1.91075i | −0.0125466 | − | 0.105184i | ||||
\(331\) | 6.47664 | + | 3.73929i | 0.355988 | + | 0.205530i | 0.667320 | − | 0.744771i | \(-0.267442\pi\) |
−0.311331 | + | 0.950301i | \(0.600775\pi\) | |||||||
\(332\) | 17.4831 | − | 3.08275i | 0.959512 | − | 0.169188i | ||||
\(333\) | 1.87779 | − | 0.331105i | 0.102902 | − | 0.0181444i | ||||
\(334\) | −3.01688 | + | 5.22539i | −0.165076 | + | 0.285920i | ||||
\(335\) | 5.64862 | − | 3.26123i | 0.308617 | − | 0.178180i | ||||
\(336\) | −1.42517 | + | 1.19586i | −0.0777495 | + | 0.0652396i | ||||
\(337\) | −14.3650 | + | 5.22843i | −0.782511 | + | 0.284811i | −0.702219 | − | 0.711961i | \(-0.747807\pi\) |
−0.0802918 | + | 0.996771i | \(0.525585\pi\) | |||||||
\(338\) | −0.464271 | − | 0.168981i | −0.0252530 | − | 0.00919135i | ||||
\(339\) | 0.993484 | + | 0.833632i | 0.0539587 | + | 0.0452767i | ||||
\(340\) | −4.07818 | − | 0.719093i | −0.221170 | − | 0.0389983i | ||||
\(341\) | −28.1848 | − | 12.0787i | −1.52629 | − | 0.654097i | ||||
\(342\) | 7.95438 | − | 4.85252i | 0.430123 | − | 0.262394i | ||||
\(343\) | 20.0067i | 1.08026i | ||||||||
\(344\) | −1.90286 | − | 0.335525i | −0.102595 | − | 0.0180903i | ||||
\(345\) | −0.0204218 | + | 0.0243377i | −0.00109947 | + | 0.00131030i | ||||
\(346\) | −20.8811 | − | 7.60011i | −1.12258 | − | 0.408585i | ||||
\(347\) | −7.92012 | − | 21.7603i | −0.425174 | − | 1.16816i | −0.948709 | − | 0.316152i | \(-0.897609\pi\) |
0.523534 | − | 0.852005i | \(-0.324613\pi\) | |||||||
\(348\) | −2.34775 | − | 2.79794i | −0.125853 | − | 0.149985i | ||||
\(349\) | −9.97315 | + | 5.75800i | −0.533851 | + | 0.308219i | −0.742583 | − | 0.669754i | \(-0.766400\pi\) |
0.208732 | + | 0.977973i | \(0.433066\pi\) | |||||||
\(350\) | 7.99766 | + | 4.61745i | 0.427493 | + | 0.246813i | ||||
\(351\) | −17.2597 | + | 3.04336i | −0.921256 | + | 0.162442i | ||||
\(352\) | −3.22903 | − | 0.757227i | −0.172108 | − | 0.0403603i | ||||
\(353\) | −9.42400 | + | 16.3228i | −0.501589 | + | 0.868777i | 0.498410 | + | 0.866942i | \(0.333918\pi\) |
−0.999998 | + | 0.00183540i | \(0.999416\pi\) | |||||||
\(354\) | −2.65786 | − | 4.60355i | −0.141264 | − | 0.244676i | ||||
\(355\) | 5.79606 | + | 6.90747i | 0.307623 | + | 0.366610i | ||||
\(356\) | −3.99843 | − | 10.9856i | −0.211916 | − | 0.582235i | ||||
\(357\) | −4.21747 | + | 11.5874i | −0.223212 | + | 0.613271i | ||||
\(358\) | −5.97740 | + | 7.12359i | −0.315915 | + | 0.376493i | ||||
\(359\) | 29.2124 | + | 5.15093i | 1.54177 | + | 0.271856i | 0.878947 | − | 0.476920i | \(-0.158247\pi\) |
0.662823 | + | 0.748776i | \(0.269358\pi\) | |||||||
\(360\) | −1.33554 | −0.0703893 | ||||||||
\(361\) | 8.69368 | − | 16.8944i | 0.457562 | − | 0.889178i | ||||
\(362\) | − | 12.1841i | − | 0.640381i | ||||||
\(363\) | −5.65361 | − | 8.50791i | −0.296738 | − | 0.446549i | ||||
\(364\) | −4.73046 | + | 5.63754i | −0.247943 | + | 0.295487i | ||||
\(365\) | −2.98083 | + | 8.18975i | −0.156024 | + | 0.428671i | ||||
\(366\) | 2.24882 | − | 0.818504i | 0.117548 | − | 0.0427839i | ||||
\(367\) | −15.4252 | + | 12.9433i | −0.805191 | + | 0.675635i | −0.949455 | − | 0.313904i | \(-0.898363\pi\) |
0.144264 | + | 0.989539i | \(0.453919\pi\) | |||||||
\(368\) | 0.0273792 | + | 0.0474221i | 0.00142724 | + | 0.00247205i | ||||
\(369\) | 3.32397 | − | 5.75728i | 0.173039 | − | 0.299712i | ||||
\(370\) | −0.548836 | + | 0.0967747i | −0.0285326 | + | 0.00503107i | ||||
\(371\) | 3.97793 | + | 22.5599i | 0.206524 | + | 1.17125i | ||||
\(372\) | 4.29289 | − | 7.43551i | 0.222576 | − | 0.385513i | ||||
\(373\) | −8.33973 | − | 14.4448i | −0.431815 | − | 0.747925i | 0.565215 | − | 0.824944i | \(-0.308793\pi\) |
−0.997030 | + | 0.0770185i | \(0.975460\pi\) | |||||||
\(374\) | −21.0443 | + | 6.35457i | −1.08818 | + | 0.328587i | ||||
\(375\) | −1.90693 | − | 5.23926i | −0.0984736 | − | 0.270554i | ||||
\(376\) | 1.84034 | + | 0.669828i | 0.0949081 | + | 0.0345437i | ||||
\(377\) | −11.0678 | − | 9.28697i | −0.570020 | − | 0.478303i | ||||
\(378\) | −1.65976 | + | 9.41297i | −0.0853689 | + | 0.484151i | ||||
\(379\) | − | 18.6371i | − | 0.957322i | −0.878000 | − | 0.478661i | \(-0.841122\pi\) | ||
0.878000 | − | 0.478661i | \(-0.158878\pi\) | |||||||
\(380\) | −2.32489 | + | 1.41829i | −0.119264 | + | 0.0727566i | ||||
\(381\) | 10.5418i | 0.540071i | ||||||||
\(382\) | −3.59632 | + | 20.3958i | −0.184004 | + | 1.04354i | ||||
\(383\) | −18.4637 | + | 22.0041i | −0.943449 | + | 1.12436i | 0.0486397 | + | 0.998816i | \(0.484511\pi\) |
−0.992088 | + | 0.125542i | \(0.959933\pi\) | |||||||
\(384\) | 0.317615 | − | 0.872639i | 0.0162082 | − | 0.0445317i | ||||
\(385\) | −4.14487 | − | 0.231570i | −0.211242 | − | 0.0118019i | ||||
\(386\) | 5.84926 | − | 4.90811i | 0.297719 | − | 0.249816i | ||||
\(387\) | −3.57698 | + | 2.06517i | −0.181828 | + | 0.104979i | ||||
\(388\) | −7.39361 | − | 4.26870i | −0.375354 | − | 0.216711i | ||||
\(389\) | 5.91683 | + | 33.5560i | 0.299995 | + | 1.70136i | 0.646176 | + | 0.763189i | \(0.276367\pi\) |
−0.346181 | + | 0.938168i | \(0.612522\pi\) | |||||||
\(390\) | 2.09894 | − | 0.370099i | 0.106284 | − | 0.0187407i | ||||
\(391\) | 0.314317 | + | 0.181471i | 0.0158957 | + | 0.00917739i | ||||
\(392\) | −1.49322 | − | 2.58634i | −0.0754192 | − | 0.130630i | ||||
\(393\) | 5.30496 | − | 4.45139i | 0.267600 | − | 0.224543i | ||||
\(394\) | −1.68532 | − | 4.63037i | −0.0849050 | − | 0.233275i | ||||
\(395\) | −5.97310 | − | 2.17403i | −0.300539 | − | 0.109387i | ||||
\(396\) | −6.32803 | + | 3.19683i | −0.317995 | + | 0.160647i | ||||
\(397\) | −4.48805 | + | 25.4530i | −0.225249 | + | 1.27745i | 0.636960 | + | 0.770897i | \(0.280192\pi\) |
−0.862209 | + | 0.506553i | \(0.830919\pi\) | |||||||
\(398\) | 13.0158 | 0.652423 | ||||||||
\(399\) | 2.95697 | + | 7.55110i | 0.148034 | + | 0.378028i | ||||
\(400\) | −4.60965 | −0.230482 | ||||||||
\(401\) | −4.46946 | − | 0.788087i | −0.223194 | − | 0.0393552i | 0.0609325 | − | 0.998142i | \(-0.480593\pi\) |
−0.284127 | + | 0.958787i | \(0.591704\pi\) | |||||||
\(402\) | 7.42655 | + | 6.23161i | 0.370403 | + | 0.310805i | ||||
\(403\) | 11.6159 | − | 31.9145i | 0.578631 | − | 1.58978i | ||||
\(404\) | −1.97109 | − | 5.41554i | −0.0980656 | − | 0.269433i | ||||
\(405\) | −0.948743 | + | 0.796090i | −0.0471434 | + | 0.0395580i | ||||
\(406\) | −6.82386 | + | 3.93976i | −0.338662 | + | 0.195527i | ||||
\(407\) | −2.36883 | + | 1.77226i | −0.117419 | + | 0.0878476i | ||||
\(408\) | −1.06882 | − | 6.06161i | −0.0529147 | − | 0.300094i | ||||
\(409\) | 2.79716 | + | 15.8635i | 0.138310 | + | 0.784398i | 0.972497 | + | 0.232915i | \(0.0748265\pi\) |
−0.834187 | + | 0.551482i | \(0.814062\pi\) | |||||||
\(410\) | −0.971524 | + | 1.68273i | −0.0479801 | + | 0.0831040i | ||||
\(411\) | 15.7124 | − | 9.07159i | 0.775038 | − | 0.447468i | ||||
\(412\) | 10.6953 | + | 12.7462i | 0.526922 | + | 0.627961i | ||||
\(413\) | −10.7761 | + | 3.92219i | −0.530259 | + | 0.192999i | ||||
\(414\) | 0.109993 | + | 0.0400343i | 0.00540588 | + | 0.00196758i | ||||
\(415\) | −7.12956 | + | 8.49668i | −0.349976 | + | 0.417085i | ||||
\(416\) | 0.637884 | − | 3.61762i | 0.0312748 | − | 0.177368i | ||||
\(417\) | −12.4286 | −0.608633 | ||||||||
\(418\) | −7.62083 | + | 12.2851i | −0.372747 | + | 0.600882i | ||||
\(419\) | 5.09242 | 0.248781 | 0.124390 | − | 0.992233i | \(-0.460302\pi\) | ||||
0.124390 | + | 0.992233i | \(0.460302\pi\) | |||||||
\(420\) | 0.201842 | − | 1.14470i | 0.00984886 | − | 0.0558557i | ||||
\(421\) | −1.19790 | + | 1.42760i | −0.0583821 | + | 0.0695771i | −0.794445 | − | 0.607336i | \(-0.792238\pi\) |
0.736063 | + | 0.676913i | \(0.236683\pi\) | |||||||
\(422\) | 17.2820 | + | 6.29012i | 0.841273 | + | 0.306198i | ||||
\(423\) | 3.93394 | − | 1.43184i | 0.191275 | − | 0.0696184i | ||||
\(424\) | −7.35004 | − | 8.75943i | −0.356949 | − | 0.425396i | ||||
\(425\) | −26.4598 | + | 15.2766i | −1.28349 | + | 0.741022i | ||||
\(426\) | −6.70126 | + | 11.6069i | −0.324677 | + | 0.562358i | ||||
\(427\) | −0.896509 | − | 5.08436i | −0.0433851 | − | 0.246049i | ||||
\(428\) | 2.15185 | + | 12.2037i | 0.104014 | + | 0.589890i | ||||
\(429\) | 9.05922 | − | 6.77772i | 0.437383 | − | 0.327231i | ||||
\(430\) | 1.04547 | − | 0.603604i | 0.0504172 | − | 0.0291084i | ||||
\(431\) | −4.34579 | + | 3.64655i | −0.209329 | + | 0.175648i | −0.741424 | − | 0.671036i | \(-0.765849\pi\) |
0.532095 | + | 0.846685i | \(0.321405\pi\) | |||||||
\(432\) | −1.63178 | − | 4.48329i | −0.0785093 | − | 0.215702i | ||||
\(433\) | 6.22007 | − | 17.0895i | 0.298917 | − | 0.821269i | −0.695764 | − | 0.718270i | \(-0.744934\pi\) |
0.994682 | − | 0.102998i | \(-0.0328436\pi\) | |||||||
\(434\) | −14.1889 | − | 11.9059i | −0.681090 | − | 0.571502i | ||||
\(435\) | 2.24731 | + | 0.396261i | 0.107750 | + | 0.0189993i | ||||
\(436\) | 3.89388 | 0.186483 | ||||||||
\(437\) | 0.233989 | − | 0.0471169i | 0.0111932 | − | 0.00225391i | ||||
\(438\) | −12.9541 | −0.618970 | ||||||||
\(439\) | 4.22694 | − | 23.9721i | 0.201741 | − | 1.14413i | −0.700746 | − | 0.713411i | \(-0.747149\pi\) |
0.902487 | − | 0.430717i | \(-0.141739\pi\) | |||||||
\(440\) | 1.84955 | − | 0.934364i | 0.0881736 | − | 0.0445441i | ||||
\(441\) | −5.99890 | − | 2.18342i | −0.285662 | − | 0.103972i | ||||
\(442\) | −8.32742 | − | 22.8794i | −0.396095 | − | 1.08826i | ||||
\(443\) | 10.7169 | − | 8.99256i | 0.509176 | − | 0.427249i | −0.351663 | − | 0.936127i | \(-0.614384\pi\) |
0.860839 | + | 0.508877i | \(0.169939\pi\) | |||||||
\(444\) | −0.414174 | − | 0.717371i | −0.0196558 | − | 0.0340449i | ||||
\(445\) | 6.32551 | + | 3.65203i | 0.299858 | + | 0.173123i | ||||
\(446\) | 7.91361 | − | 1.39538i | 0.374720 | − | 0.0660733i | ||||
\(447\) | −0.350000 | − | 1.98495i | −0.0165544 | − | 0.0938848i | ||||
\(448\) | −1.73498 | − | 1.00169i | −0.0819702 | − | 0.0473255i | ||||
\(449\) | 27.7398 | − | 16.0156i | 1.30912 | − | 0.755823i | 0.327174 | − | 0.944964i | \(-0.393904\pi\) |
0.981950 | + | 0.189141i | \(0.0605703\pi\) | |||||||
\(450\) | −7.54836 | + | 6.33383i | −0.355833 | + | 0.298580i | ||||
\(451\) | −0.575370 | + | 10.2985i | −0.0270931 | + | 0.484939i | ||||
\(452\) | −0.477650 | + | 1.31233i | −0.0224668 | + | 0.0617269i | ||||
\(453\) | 4.14568 | − | 4.94063i | 0.194781 | − | 0.232131i | ||||
\(454\) | −2.99361 | + | 16.9776i | −0.140497 | + | 0.796798i | ||||
\(455\) | − | 4.59794i | − | 0.215555i | ||||||
\(456\) | −3.16283 | − | 2.52620i | −0.148113 | − | 0.118300i | ||||
\(457\) | − | 37.4733i | − | 1.75293i | −0.481469 | − | 0.876463i | \(-0.659896\pi\) | ||
0.481469 | − | 0.876463i | \(-0.340104\pi\) | |||||||
\(458\) | −3.70529 | + | 21.0137i | −0.173137 | + | 0.981908i | ||||
\(459\) | −24.2244 | − | 20.3267i | −1.13070 | − | 0.948767i | ||||
\(460\) | −0.0321487 | − | 0.0117012i | −0.00149894 | − | 0.000545569i | ||||
\(461\) | 9.88777 | + | 27.1664i | 0.460519 | + | 1.26527i | 0.925096 | + | 0.379734i | \(0.123984\pi\) |
−0.464577 | + | 0.885533i | \(0.653793\pi\) | |||||||
\(462\) | −1.78366 | − | 5.90692i | −0.0829834 | − | 0.274815i | ||||
\(463\) | 11.2139 | + | 19.4231i | 0.521156 | + | 0.902669i | 0.999697 | + | 0.0246037i | \(0.00783239\pi\) |
−0.478541 | + | 0.878065i | \(0.658834\pi\) | |||||||
\(464\) | 1.96655 | − | 3.40617i | 0.0912948 | − | 0.158127i | ||||
\(465\) | 0.931489 | + | 5.28273i | 0.0431967 | + | 0.244981i | ||||
\(466\) | 1.66240 | − | 0.293126i | 0.0770092 | − | 0.0135788i | ||||
\(467\) | −3.74922 | + | 6.49384i | −0.173493 | + | 0.300499i | −0.939639 | − | 0.342168i | \(-0.888839\pi\) |
0.766146 | + | 0.642667i | \(0.222172\pi\) | |||||||
\(468\) | −3.92620 | − | 6.80038i | −0.181489 | − | 0.314347i | ||||
\(469\) | 16.0215 | − | 13.4436i | 0.739803 | − | 0.620768i | ||||
\(470\) | −1.14981 | + | 0.418495i | −0.0530366 | + | 0.0193037i | ||||
\(471\) | −7.28598 | + | 20.0181i | −0.335720 | + | 0.922384i | ||||
\(472\) | 3.67943 | − | 4.38497i | 0.169359 | − | 0.201835i | ||||
\(473\) | 3.50881 | − | 5.36248i | 0.161335 | − | 0.246567i | ||||
\(474\) | − | 9.44790i | − | 0.433957i | ||||||
\(475\) | −6.41382 | + | 19.0418i | −0.294286 | + | 0.873699i | ||||
\(476\) | −13.2786 | −0.608623 | ||||||||
\(477\) | −24.0716 | − | 4.24447i | −1.10216 | − | 0.194341i | ||||
\(478\) | 3.30546 | − | 3.93929i | 0.151188 | − | 0.180179i | ||||
\(479\) | −6.75190 | + | 18.5507i | −0.308502 | + | 0.847603i | 0.684447 | + | 0.729063i | \(0.260044\pi\) |
−0.992949 | + | 0.118540i | \(0.962179\pi\) | |||||||
\(480\) | 0.198439 | + | 0.545208i | 0.00905748 | + | 0.0248852i | ||||
\(481\) | −2.10622 | − | 2.51009i | −0.0960352 | − | 0.114450i | ||||
\(482\) | −11.1542 | − | 19.3196i | −0.508059 | − | 0.879984i | ||||
\(483\) | −0.0509370 | + | 0.0882255i | −0.00231771 | + | 0.00401440i | ||||
\(484\) | 6.52691 | − | 8.85435i | 0.296678 | − | 0.402470i | ||||
\(485\) | 5.25297 | − | 0.926240i | 0.238525 | − | 0.0420584i | ||||
\(486\) | −13.9897 | − | 8.07695i | −0.634585 | − | 0.366378i | ||||
\(487\) | −13.8606 | + | 8.00243i | −0.628085 | + | 0.362625i | −0.780010 | − | 0.625767i | \(-0.784786\pi\) |
0.151925 | + | 0.988392i | \(0.451453\pi\) | |||||||
\(488\) | 1.65649 | + | 1.97412i | 0.0749856 | + | 0.0893644i | ||||
\(489\) | 5.12980 | + | 14.0940i | 0.231977 | + | 0.637353i | ||||
\(490\) | 1.75335 | + | 0.638167i | 0.0792082 | + | 0.0288294i | ||||
\(491\) | −3.97015 | + | 4.73144i | −0.179170 | + | 0.213527i | −0.848153 | − | 0.529751i | \(-0.822285\pi\) |
0.668983 | + | 0.743278i | \(0.266730\pi\) | |||||||
\(492\) | −2.84418 | − | 0.501505i | −0.128225 | − | 0.0226096i | ||||
\(493\) | − | 26.0689i | − | 1.17408i | ||||||
\(494\) | −14.0563 | − | 7.66853i | −0.632425 | − | 0.345023i | ||||
\(495\) | 1.74480 | − | 4.07138i | 0.0784231 | − | 0.182995i | ||||
\(496\) | 9.10505 | + | 1.60547i | 0.408829 | + | 0.0720876i | ||||
\(497\) | 22.1491 | + | 18.5853i | 0.993523 | + | 0.833665i | ||||
\(498\) | −15.4918 | − | 5.63856i | −0.694205 | − | 0.252670i | ||||
\(499\) | −0.424438 | + | 0.154483i | −0.0190004 | + | 0.00691559i | −0.351503 | − | 0.936187i | \(-0.614329\pi\) |
0.332502 | + | 0.943102i | \(0.392107\pi\) | |||||||
\(500\) | 4.59927 | − | 3.85924i | 0.205686 | − | 0.172591i | ||||
\(501\) | 4.85252 | − | 2.80160i | 0.216795 | − | 0.125166i | ||||
\(502\) | 8.00900 | − | 13.8720i | 0.357459 | − | 0.619137i | ||||
\(503\) | 0.524715 | − | 0.0925214i | 0.0233959 | − | 0.00412533i | −0.161938 | − | 0.986801i | \(-0.551774\pi\) |
0.185334 | + | 0.982676i | \(0.440663\pi\) | |||||||
\(504\) | −4.21742 | + | 0.743645i | −0.187859 | + | 0.0331246i | ||||
\(505\) | 3.11827 | + | 1.80033i | 0.138761 | + | 0.0801138i | ||||
\(506\) | −0.180334 | + | 0.0215108i | −0.00801684 | + | 0.000956271i | ||||
\(507\) | 0.294919 | + | 0.351471i | 0.0130978 | + | 0.0156094i | ||||
\(508\) | −10.6672 | + | 3.88254i | −0.473280 | + | 0.172260i | ||||
\(509\) | 3.87407 | − | 10.6439i | 0.171715 | − | 0.471783i | −0.823745 | − | 0.566960i | \(-0.808119\pi\) |
0.995460 | + | 0.0951766i | \(0.0303416\pi\) | |||||||
\(510\) | 2.94590 | + | 2.47190i | 0.130447 | + | 0.109458i | ||||
\(511\) | −4.85280 | + | 27.5216i | −0.214675 | + | 1.21748i | ||||
\(512\) | 1.00000 | 0.0441942 | ||||||||
\(513\) | −20.7903 | + | 0.502674i | −0.917915 | + | 0.0221936i | ||||
\(514\) | 22.8857i | 1.00945i | ||||||||
\(515\) | −10.2378 | − | 1.80520i | −0.451131 | − | 0.0795465i | ||||
\(516\) | 1.37454 | + | 1.15338i | 0.0605108 | + | 0.0507746i | ||||
\(517\) | −4.44624 | + | 4.73514i | −0.195545 | + | 0.208251i | ||||
\(518\) | −1.67925 | + | 0.611196i | −0.0737818 | + | 0.0268544i | ||||
\(519\) | 13.2643 | + | 15.8078i | 0.582239 | + | 0.693885i | ||||
\(520\) | 1.14754 | + | 1.98760i | 0.0503231 | + | 0.0871621i | ||||
\(521\) | 9.11163 | + | 5.26060i | 0.399188 | + | 0.230471i | 0.686134 | − | 0.727476i | \(-0.259307\pi\) |
−0.286946 | + | 0.957947i | \(0.592640\pi\) | |||||||
\(522\) | −1.45994 | − | 8.27975i | −0.0639000 | − | 0.362395i | ||||
\(523\) | 4.57425 | + | 25.9419i | 0.200018 | + | 1.13436i | 0.905089 | + | 0.425222i | \(0.139804\pi\) |
−0.705071 | + | 0.709137i | \(0.749085\pi\) | |||||||
\(524\) | 6.45817 | + | 3.72863i | 0.282127 | + | 0.162886i | ||||
\(525\) | −4.28796 | − | 7.42697i | −0.187142 | − | 0.324140i | ||||
\(526\) | −4.71924 | − | 5.62417i | −0.205769 | − | 0.245226i | ||||
\(527\) | 57.5843 | − | 20.9590i | 2.50841 | − | 0.912988i | ||||
\(528\) | 2.24528 | + | 2.10829i | 0.0977132 | + | 0.0917515i | ||||
\(529\) | −17.6167 | − | 14.7822i | −0.765945 | − | 0.642704i | ||||
\(530\) | 7.03559 | + | 1.24057i | 0.305607 | + | 0.0538867i | ||||
\(531\) | − | 12.2361i | − | 0.531003i | ||||||
\(532\) | −6.55189 | + | 5.77323i | −0.284060 | + | 0.250301i | ||||
\(533\) | −11.4242 | −0.494839 | ||||||||
\(534\) | −1.88520 | + | 10.6915i | −0.0815804 | + | 0.462666i | ||||
\(535\) | −5.93093 | − | 4.97664i | −0.256417 | − | 0.215159i | ||||
\(536\) | −3.57056 | + | 9.81002i | −0.154225 | + | 0.423728i | ||||
\(537\) | 8.11483 | − | 2.95356i | 0.350181 | − | 0.127455i | ||||
\(538\) | −0.726159 | − | 0.865402i | −0.0313069 | − | 0.0373101i | ||||
\(539\) | 9.83521 | − | 1.17317i | 0.423633 | − | 0.0505321i | ||||
\(540\) | 2.58148 | + | 1.49042i | 0.111089 | + | 0.0641374i | ||||
\(541\) | −30.1125 | + | 5.30964i | −1.29464 | + | 0.228279i | −0.778183 | − | 0.628037i | \(-0.783859\pi\) |
−0.516452 | + | 0.856316i | \(0.672748\pi\) | |||||||
\(542\) | 11.9183 | − | 2.10152i | 0.511936 | − | 0.0902682i | ||||
\(543\) | −5.65734 | + | 9.79879i | −0.242780 | + | 0.420506i | ||||
\(544\) | 5.74008 | − | 3.31404i | 0.246104 | − | 0.142088i | ||||
\(545\) | −1.86365 | + | 1.56379i | −0.0798299 | + | 0.0669853i | ||||
\(546\) | 6.42200 | − | 2.33742i | 0.274836 | − | 0.100032i | ||||
\(547\) | 0.573451 | + | 0.208719i | 0.0245190 | + | 0.00892419i | 0.354251 | − | 0.935151i | \(-0.384736\pi\) |
−0.329732 | + | 0.944075i | \(0.606958\pi\) | |||||||
\(548\) | 14.9664 | + | 12.5583i | 0.639334 | + | 0.536465i | ||||
\(549\) | 5.42503 | + | 0.956580i | 0.231535 | + | 0.0408258i | ||||
\(550\) | 6.02222 | − | 14.0524i | 0.256788 | − | 0.599197i | ||||
\(551\) | −11.3342 | − | 12.8629i | −0.482852 | − | 0.547976i | ||||
\(552\) | − | 0.0508509i | − | 0.00216436i | ||||||
\(553\) | −20.0725 | − | 3.53933i | −0.853571 | − | 0.150508i | ||||
\(554\) | 4.96757 | − | 5.92012i | 0.211052 | − | 0.251522i | ||||
\(555\) | 0.486324 | + | 0.177008i | 0.0206433 | + | 0.00751356i | ||||
\(556\) | −4.57748 | − | 12.5765i | −0.194128 | − | 0.533363i | ||||
\(557\) | 5.73504 | + | 6.83476i | 0.243002 | + | 0.289598i | 0.873736 | − | 0.486401i | \(-0.161691\pi\) |
−0.630734 | + | 0.775999i | \(0.717246\pi\) | |||||||
\(558\) | 17.1156 | − | 9.88171i | 0.724562 | − | 0.418326i | ||||
\(559\) | 6.14691 | + | 3.54892i | 0.259987 | + | 0.150103i | ||||
\(560\) | 1.23266 | − | 0.217351i | 0.0520894 | − | 0.00918476i | ||||
\(561\) | 19.8750 | + | 4.66082i | 0.839125 | + | 0.196780i | ||||
\(562\) | −2.83932 | + | 4.91784i | −0.119769 | + | 0.207446i | ||||
\(563\) | −17.1729 | − | 29.7443i | −0.723752 | − | 1.25357i | −0.959486 | − | 0.281757i | \(-0.909083\pi\) |
0.235734 | − | 0.971818i | \(-0.424251\pi\) | |||||||
\(564\) | −1.16904 | − | 1.39320i | −0.0492253 | − | 0.0586644i | ||||
\(565\) | −0.298426 | − | 0.819919i | −0.0125549 | − | 0.0344943i | ||||
\(566\) | 2.09985 | − | 5.76929i | 0.0882633 | − | 0.242501i | ||||
\(567\) | −2.55270 | + | 3.04219i | −0.107203 | + | 0.127760i | ||||
\(568\) | −14.2131 | − | 2.50616i | −0.596369 | − | 0.105156i | ||||
\(569\) | 46.5499 | 1.95147 | 0.975736 | − | 0.218949i | \(-0.0702629\pi\) | ||||
0.975736 | + | 0.218949i | \(0.0702629\pi\) | |||||||
\(570\) | 2.52829 | − | 0.0611296i | 0.105898 | − | 0.00256044i | ||||
\(571\) | 10.8972i | 0.456033i | 0.973657 | + | 0.228016i | \(0.0732240\pi\) | ||||
−0.973657 | + | 0.228016i | \(0.926776\pi\) | |||||||
\(572\) | 10.1949 | + | 6.67077i | 0.426269 | + | 0.278919i | ||||
\(573\) | 12.3625 | − | 14.7330i | 0.516449 | − | 0.615480i | ||||
\(574\) | −2.13094 | + | 5.85472i | −0.0889439 | + | 0.244371i | ||||
\(575\) | −0.237194 | + | 0.0863316i | −0.00989168 | + | 0.00360028i | ||||
\(576\) | 1.63751 | − | 1.37404i | 0.0682297 | − | 0.0572515i | ||||
\(577\) | 9.20517 | + | 15.9438i | 0.383216 | + | 0.663750i | 0.991520 | − | 0.129955i | \(-0.0414831\pi\) |
−0.608304 | + | 0.793704i | \(0.708150\pi\) | |||||||
\(578\) | 13.4657 | − | 23.3233i | 0.560099 | − | 0.970120i | ||||
\(579\) | −6.98308 | + | 1.23131i | −0.290207 | + | 0.0511713i | ||||
\(580\) | 0.426710 | + | 2.41999i | 0.0177182 | + | 0.100485i | ||||
\(581\) | −17.7829 | + | 30.8009i | −0.737758 | + | 1.27783i | ||||
\(582\) | 3.96410 | + | 6.86603i | 0.164317 | + | 0.284606i | ||||
\(583\) | 36.3053 | − | 10.9628i | 1.50361 | − | 0.454032i | ||||
\(584\) | −4.77100 | − | 13.1082i | −0.197425 | − | 0.542422i | ||||
\(585\) | 4.61015 | + | 1.67796i | 0.190606 | + | 0.0693750i | ||||
\(586\) | 10.0074 | + | 8.39719i | 0.413401 | + | 0.346885i | ||||
\(587\) | 3.20697 | − | 18.1876i | 0.132366 | − | 0.750683i | −0.844292 | − | 0.535883i | \(-0.819979\pi\) |
0.976658 | − | 0.214800i | \(-0.0689100\pi\) | |||||||
\(588\) | 2.77335i | 0.114371i | ||||||||
\(589\) | 19.3006 | − | 35.3779i | 0.795269 | − | 1.45772i | ||||
\(590\) | 3.57635i | 0.147236i | ||||||||
\(591\) | −0.794601 | + | 4.50641i | −0.0326855 | + | 0.185369i | ||||
\(592\) | 0.573366 | − | 0.683311i | 0.0235652 | − | 0.0280839i | ||||
\(593\) | 9.98870 | − | 27.4437i | 0.410187 | − | 1.12698i | −0.546905 | − | 0.837195i | \(-0.684194\pi\) |
0.957092 | − | 0.289785i | \(-0.0935837\pi\) | |||||||
\(594\) | 15.7990 | + | 0.882678i | 0.648242 | + | 0.0362167i | ||||
\(595\) | 6.35525 | − | 5.33269i | 0.260540 | − | 0.218619i | ||||
\(596\) | 1.87966 | − | 1.08522i | 0.0769939 | − | 0.0444524i | ||||
\(597\) | −10.4677 | − | 6.04352i | −0.428413 | − | 0.247345i | ||||
\(598\) | −0.0349294 | − | 0.198095i | −0.00142837 | − | 0.00810070i | ||||
\(599\) | −11.2397 | + | 1.98187i | −0.459243 | + | 0.0809770i | −0.398484 | − | 0.917175i | \(-0.630463\pi\) |
−0.0607596 | + | 0.998152i | \(0.519352\pi\) | |||||||
\(600\) | 3.70721 | + | 2.14036i | 0.151346 | + | 0.0873798i | ||||
\(601\) | 8.69690 | + | 15.0635i | 0.354754 | + | 0.614452i | 0.987076 | − | 0.160254i | \(-0.0512313\pi\) |
−0.632322 | + | 0.774706i | \(0.717898\pi\) | |||||||
\(602\) | 2.96533 | − | 2.48821i | 0.120858 | − | 0.101412i | ||||
\(603\) | 7.63250 | + | 20.9701i | 0.310819 | + | 0.853969i | ||||
\(604\) | 6.52627 | + | 2.37537i | 0.265550 | + | 0.0966524i | ||||
\(605\) | 0.432075 | + | 6.85899i | 0.0175663 | + | 0.278857i | ||||
\(606\) | −0.929340 | + | 5.27055i | −0.0377519 | + | 0.214101i | ||||
\(607\) | 8.10286 | 0.328885 | 0.164442 | − | 0.986387i | \(-0.447418\pi\) | ||||
0.164442 | + | 0.986387i | \(0.447418\pi\) | |||||||
\(608\) | 1.39139 | − | 4.13086i | 0.0564283 | − | 0.167529i | ||||
\(609\) | 7.31726 | 0.296510 | ||||||||
\(610\) | −1.58562 | − | 0.279587i | −0.0641999 | − | 0.0113202i | ||||
\(611\) | −5.51108 | − | 4.62435i | −0.222955 | − | 0.187081i | ||||
\(612\) | 4.84585 | − | 13.3139i | 0.195882 | − | 0.538181i | ||||
\(613\) | −10.9024 | − | 29.9541i | −0.440344 | − | 1.20984i | −0.939266 | − | 0.343189i | \(-0.888493\pi\) |
0.498922 | − | 0.866647i | \(-0.333729\pi\) | |||||||
\(614\) | −12.5614 | + | 10.5402i | −0.506935 | + | 0.425369i | ||||
\(615\) | 1.56265 | − | 0.902199i | 0.0630123 | − | 0.0363802i | ||||
\(616\) | 5.32028 | − | 3.98041i | 0.214360 | − | 0.160375i | ||||
\(617\) | 0.0986171 | + | 0.559285i | 0.00397018 | + | 0.0225160i | 0.986728 | − | 0.162379i | \(-0.0519167\pi\) |
−0.982758 | + | 0.184895i | \(0.940806\pi\) | |||||||
\(618\) | −2.68316 | − | 15.2170i | −0.107933 | − | 0.612116i | ||||
\(619\) | −0.243207 | + | 0.421247i | −0.00977531 | + | 0.0169313i | −0.870872 | − | 0.491510i | \(-0.836445\pi\) |
0.861096 | + | 0.508442i | \(0.169778\pi\) | |||||||
\(620\) | −5.00252 | + | 2.88821i | −0.200906 | + | 0.115993i | ||||
\(621\) | −0.167930 | − | 0.200131i | −0.00673880 | − | 0.00803099i | ||||
\(622\) | 7.72468 | − | 2.81155i | 0.309731 | − | 0.112733i | ||||
\(623\) | 22.0084 | + | 8.01039i | 0.881746 | + | 0.320929i | ||||
\(624\) | −2.19274 | + | 2.61321i | −0.0877800 | + | 0.104612i | ||||
\(625\) | 3.35091 | − | 19.0040i | 0.134036 | − | 0.760158i | ||||
\(626\) | −1.50482 | −0.0601447 | ||||||||
\(627\) | 11.8331 | − | 6.34149i | 0.472569 | − | 0.253255i | ||||
\(628\) | −22.9397 | −0.915393 | ||||||||
\(629\) | 1.02665 | − | 5.82241i | 0.0409352 | − | 0.232155i | ||||
\(630\) | 1.71985 | − | 2.04963i | 0.0685204 | − | 0.0816594i | ||||
\(631\) | 25.7763 | + | 9.38179i | 1.02614 | + | 0.373483i | 0.799609 | − | 0.600521i | \(-0.205040\pi\) |
0.226528 | + | 0.974005i | \(0.427263\pi\) | |||||||
\(632\) | 9.56032 | − | 3.47967i | 0.380289 | − | 0.138414i | ||||
\(633\) | −10.9780 | − | 13.0831i | −0.436337 | − | 0.520006i | ||||
\(634\) | 13.1294 | − | 7.58029i | 0.521437 | − | 0.301052i | ||||
\(635\) | 3.54619 | − | 6.14218i | 0.140726 | − | 0.243745i | ||||
\(636\) | 1.84392 | + | 10.4574i | 0.0731160 | + | 0.414662i | ||||
\(637\) | 1.90501 | + | 10.8038i | 0.0754792 | + | 0.428064i | ||||
\(638\) | 7.81445 | + | 10.4449i | 0.309377 | + | 0.413519i | ||||
\(639\) | −26.7177 | + | 15.4255i | −1.05694 | + | 0.610222i | ||||
\(640\) | −0.478609 | + | 0.401601i | −0.0189187 | + | 0.0158747i | ||||
\(641\) | −4.91014 | − | 13.4905i | −0.193939 | − | 0.532843i | 0.804164 | − | 0.594407i | \(-0.202613\pi\) |
−0.998103 | + | 0.0615642i | \(0.980391\pi\) | |||||||
\(642\) | 3.93588 | − | 10.8138i | 0.155337 | − | 0.426785i | ||||
\(643\) | −11.4111 | − | 9.57504i | −0.450009 | − | 0.377603i | 0.389430 | − | 0.921056i | \(-0.372672\pi\) |
−0.839439 | + | 0.543453i | \(0.817116\pi\) | |||||||
\(644\) | −0.108035 | − | 0.0190495i | −0.00425719 | − | 0.000750657i | ||||
\(645\) | −1.12107 | −0.0441419 | ||||||||
\(646\) | −5.70315 | − | 28.3226i | −0.224387 | − | 1.11434i | ||||
\(647\) | 15.2392 | 0.599114 | 0.299557 | − | 0.954078i | \(-0.403161\pi\) | ||||
0.299557 | + | 0.954078i | \(0.403161\pi\) | |||||||
\(648\) | 0.344221 | − | 1.95218i | 0.0135223 | − | 0.0766887i | ||||
\(649\) | 8.56056 | + | 16.9454i | 0.336031 | + | 0.665163i | ||||
\(650\) | 15.9120 | + | 5.79150i | 0.624121 | + | 0.227161i | ||||
\(651\) | 5.88296 | + | 16.1633i | 0.230571 | + | 0.633490i | ||||
\(652\) | −12.3724 | + | 10.3817i | −0.484540 | + | 0.406577i | ||||
\(653\) | −10.2017 | − | 17.6698i | −0.399223 | − | 0.691474i | 0.594408 | − | 0.804164i | \(-0.297387\pi\) |
−0.993630 | + | 0.112690i | \(0.964053\pi\) | |||||||
\(654\) | −3.13157 | − | 1.80801i | −0.122454 | − | 0.0706989i | ||||
\(655\) | −4.58836 | + | 0.809052i | −0.179282 | + | 0.0316123i | ||||
\(656\) | −0.540040 | − | 3.06272i | −0.0210850 | − | 0.119579i | ||||
\(657\) | −25.8237 | − | 14.9093i | −1.00748 | − | 0.581669i | ||||
\(658\) | −3.39787 | + | 1.96176i | −0.132463 | + | 0.0764774i | ||||
\(659\) | 10.0378 | − | 8.42271i | 0.391017 | − | 0.328102i | −0.425992 | − | 0.904727i | \(-0.640075\pi\) |
0.817009 | + | 0.576625i | \(0.195630\pi\) | |||||||
\(660\) | −1.92130 | − | 0.107341i | −0.0747866 | − | 0.00417826i | ||||
\(661\) | 2.51220 | − | 6.90222i | 0.0977133 | − | 0.268465i | −0.881199 | − | 0.472745i | \(-0.843263\pi\) |
0.978912 | + | 0.204280i | \(0.0654853\pi\) | |||||||
\(662\) | 4.80714 | − | 5.72893i | 0.186835 | − | 0.222661i | ||||
\(663\) | −3.92625 | + | 22.2669i | −0.152483 | + | 0.864774i | ||||
\(664\) | − | 17.7528i | − | 0.688944i | ||||||
\(665\) | 0.817262 | − | 5.39437i | 0.0316921 | − | 0.209185i | ||||
\(666\) | − | 1.90676i | − | 0.0738853i | ||||||
\(667\) | 0.0373986 | − | 0.212098i | 0.00144808 | − | 0.00821247i | ||||
\(668\) | 4.62213 | + | 3.87842i | 0.178835 | + | 0.150061i | ||||
\(669\) | −7.01226 | − | 2.55225i | −0.271110 | − | 0.0986758i | ||||
\(670\) | −2.23081 | − | 6.12911i | −0.0861838 | − | 0.236788i | ||||
\(671\) | −8.18217 | + | 2.47069i | −0.315869 | + | 0.0953801i | ||||
\(672\) | 0.930215 | + | 1.61118i | 0.0358838 | + | 0.0621526i | ||||
\(673\) | −7.90776 | + | 13.6966i | −0.304822 | + | 0.527967i | −0.977222 | − | 0.212221i | \(-0.931930\pi\) |
0.672400 | + | 0.740188i | \(0.265264\pi\) | |||||||
\(674\) | 2.65454 | + | 15.0547i | 0.102249 | + | 0.579884i | ||||
\(675\) | 21.6586 | − | 3.81900i | 0.833640 | − | 0.146993i | ||||
\(676\) | −0.247034 | + | 0.427875i | −0.00950129 | + | 0.0164567i | ||||
\(677\) | −11.2381 | − | 19.4650i | −0.431916 | − | 0.748101i | 0.565122 | − | 0.825007i | \(-0.308829\pi\) |
−0.997038 | + | 0.0769063i | \(0.975496\pi\) | |||||||
\(678\) | 0.993484 | − | 0.833632i | 0.0381545 | − | 0.0320155i | ||||
\(679\) | 16.0722 | − | 5.84981i | 0.616796 | − | 0.224495i | ||||
\(680\) | −1.41634 | + | 3.89135i | −0.0543140 | + | 0.149227i | ||||
\(681\) | 10.2906 | − | 12.2639i | 0.394337 | − | 0.469952i | ||||
\(682\) | −16.7894 | + | 25.6591i | −0.642900 | + | 0.982539i | ||||
\(683\) | 12.1966i | 0.466689i | 0.972394 | + | 0.233345i | \(0.0749671\pi\) | ||||
−0.972394 | + | 0.233345i | \(0.925033\pi\) | |||||||
\(684\) | −3.39754 | − | 8.67616i | −0.129908 | − | 0.331741i | ||||
\(685\) | −12.2065 | −0.466387 | ||||||||
\(686\) | 19.7028 | + | 3.47413i | 0.752255 | + | 0.132643i | ||||
\(687\) | 12.7370 | − | 15.1794i | 0.485948 | − | 0.579131i | ||||
\(688\) | −0.660856 | + | 1.81569i | −0.0251949 | + | 0.0692224i | ||||
\(689\) | 14.3663 | + | 39.4711i | 0.547313 | + | 1.50373i | ||||
\(690\) | 0.0204218 | + | 0.0243377i | 0.000777444 | + | 0.000926522i | ||||
\(691\) | −20.9823 | − | 36.3424i | −0.798204 | − | 1.38253i | −0.920785 | − | 0.390071i | \(-0.872450\pi\) |
0.122581 | − | 0.992459i | \(-0.460883\pi\) | |||||||
\(692\) | −11.1106 | + | 19.2442i | −0.422363 | + | 0.731553i | ||||
\(693\) | 3.24281 | − | 13.8282i | 0.123184 | − | 0.525291i | ||||
\(694\) | −22.8051 | + | 4.02115i | −0.865669 | + | 0.152641i | ||||
\(695\) | 7.24157 | + | 4.18092i | 0.274688 | + | 0.158591i | ||||
\(696\) | −3.16311 | + | 1.82622i | −0.119897 | + | 0.0692228i | ||||
\(697\) | −13.2498 | − | 15.7906i | −0.501874 | − | 0.598110i | ||||
\(698\) | 3.93871 | + | 10.8215i | 0.149082 | + | 0.409600i | ||||
\(699\) | −1.47305 | − | 0.536148i | −0.0557160 | − | 0.0202790i | ||||
\(700\) | 5.93608 | − | 7.07434i | 0.224363 | − | 0.267385i | ||||
\(701\) | 13.8766 | + | 2.44681i | 0.524110 | + | 0.0924147i | 0.429443 | − | 0.903094i | \(-0.358710\pi\) |
0.0946676 | + | 0.995509i | \(0.469821\pi\) | |||||||
\(702\) | 17.5260i | 0.661476i | ||||||||
\(703\) | −2.02489 | − | 3.31925i | −0.0763701 | − | 0.125188i | ||||
\(704\) | −1.30644 | + | 3.04848i | −0.0492382 | + | 0.114894i | ||||
\(705\) | 1.11902 | + | 0.197314i | 0.0421449 | + | 0.00743128i | ||||
\(706\) | 14.4384 | + | 12.1153i | 0.543396 | + | 0.455964i | ||||
\(707\) | 10.8494 | + | 3.94886i | 0.408034 | + | 0.148512i | ||||
\(708\) | −4.99514 | + | 1.81808i | −0.187729 | + | 0.0683277i | ||||
\(709\) | 19.0165 | − | 15.9568i | 0.714180 | − | 0.599268i | −0.211588 | − | 0.977359i | \(-0.567864\pi\) |
0.925769 | + | 0.378090i | \(0.123419\pi\) | |||||||
\(710\) | 7.80901 | − | 4.50853i | 0.293067 | − | 0.169202i | ||||
\(711\) | 10.8740 | − | 18.8342i | 0.407805 | − | 0.706339i | ||||
\(712\) | −11.5130 | + | 2.03005i | −0.431468 | + | 0.0760795i | ||||
\(713\) | 0.498577 | − | 0.0879126i | 0.0186719 | − | 0.00329235i | ||||
\(714\) | 10.6790 | + | 6.16553i | 0.399652 | + | 0.230739i | ||||
\(715\) | −7.55835 | + | 0.901582i | −0.282666 | + | 0.0337172i | ||||
\(716\) | 5.97740 | + | 7.12359i | 0.223386 | + | 0.266221i | ||||
\(717\) | −4.48744 | + | 1.63330i | −0.167587 | + | 0.0609965i | ||||
\(718\) | 10.1453 | − | 27.8741i | 0.378621 | − | 1.04025i | ||||
\(719\) | −3.42686 | − | 2.87548i | −0.127800 | − | 0.107237i | 0.576647 | − | 0.816993i | \(-0.304361\pi\) |
−0.704448 | + | 0.709756i | \(0.748805\pi\) | |||||||
\(720\) | −0.231915 | + | 1.31525i | −0.00864295 | + | 0.0490166i | ||||
\(721\) | −33.3343 | −1.24144 | ||||||||
\(722\) | −15.1281 | − | 11.4953i | −0.563008 | − | 0.427810i | ||||
\(723\) | 20.7165i | 0.770455i | ||||||||
\(724\) | −11.9990 | − | 2.11574i | −0.445939 | − | 0.0786310i | ||||
\(725\) | 13.8886 | + | 11.6539i | 0.515808 | + | 0.432814i | ||||
\(726\) | −9.36039 | + | 4.09034i | −0.347397 | + | 0.151807i | ||||
\(727\) | −6.42307 | + | 2.33781i | −0.238219 | + | 0.0867044i | −0.458371 | − | 0.888761i | \(-0.651567\pi\) |
0.220152 | + | 0.975466i | \(0.429345\pi\) | |||||||
\(728\) | 4.73046 | + | 5.63754i | 0.175322 | + | 0.208941i | ||||
\(729\) | 4.52717 | + | 7.84128i | 0.167673 | + | 0.290418i | ||||
\(730\) | 7.54772 | + | 4.35768i | 0.279354 | + | 0.161285i | ||||
\(731\) | 2.22389 | + | 12.6123i | 0.0822534 | + | 0.466482i | ||||
\(732\) | −0.415565 | − | 2.35679i | −0.0153597 | − | 0.0871094i | ||||
\(733\) | −22.6381 | − | 13.0701i | −0.836156 | − | 0.482755i | 0.0197996 | − | 0.999804i | \(-0.493697\pi\) |
−0.855956 | + | 0.517049i | \(0.827031\pi\) | |||||||
\(734\) | 10.0681 | + | 17.4385i | 0.371621 | + | 0.643666i | ||||
\(735\) | −1.11378 | − | 1.32735i | −0.0410823 | − | 0.0489600i | ||||
\(736\) | 0.0514560 | − | 0.0187284i | 0.00189669 | − | 0.000690340i | ||||
\(737\) | −25.2409 | − | 23.7009i | −0.929762 | − | 0.873035i | ||||
\(738\) | −5.09262 | − | 4.27321i | −0.187462 | − | 0.157299i | ||||
\(739\) | 4.72568 | + | 0.833264i | 0.173837 | + | 0.0306521i | 0.259889 | − | 0.965639i | \(-0.416314\pi\) |
−0.0860521 | + | 0.996291i | \(0.527425\pi\) | |||||||
\(740\) | 0.557303i | 0.0204869i | ||||||||
\(741\) | 7.74385 | + | 12.6939i | 0.284478 | + | 0.466323i | ||||
\(742\) | 22.9080 | 0.840978 | ||||||||
\(743\) | −0.949383 | + | 5.38422i | −0.0348295 | + | 0.197528i | −0.997258 | − | 0.0740088i | \(-0.976421\pi\) |
0.962428 | + | 0.271537i | \(0.0875318\pi\) | |||||||
\(744\) | −6.57709 | − | 5.51884i | −0.241128 | − | 0.202330i | ||||
\(745\) | −0.463797 | + | 1.27427i | −0.0169922 | + | 0.0466857i | ||||
\(746\) | −15.6736 | + | 5.70471i | −0.573850 | + | 0.208864i | ||||
\(747\) | −24.3931 | − | 29.0705i | −0.892495 | − | 1.06363i | ||||
\(748\) | 2.60372 | + | 21.8281i | 0.0952013 | + | 0.798114i | ||||
\(749\) | −21.4999 | − | 12.4130i | −0.785590 | − | 0.453560i | ||||
\(750\) | −5.49079 | + | 0.968175i | −0.200495 | + | 0.0353528i | ||||
\(751\) | 1.62643 | − | 0.286784i | 0.0593493 | − | 0.0104649i | −0.143895 | − | 0.989593i | \(-0.545963\pi\) |
0.203244 | + | 0.979128i | \(0.434852\pi\) | |||||||
\(752\) | 0.979223 | − | 1.69606i | 0.0357086 | − | 0.0618491i | ||||
\(753\) | −12.8821 | + | 7.43750i | −0.469451 | + | 0.271038i | ||||
\(754\) | −11.0678 | + | 9.28697i | −0.403065 | + | 0.338211i | ||||
\(755\) | −4.07749 | + | 1.48408i | −0.148395 | + | 0.0540113i | ||||
\(756\) | 8.98176 | + | 3.26909i | 0.326663 | + | 0.118896i | ||||
\(757\) | −24.9175 | − | 20.9082i | −0.905641 | − | 0.759923i | 0.0656436 | − | 0.997843i | \(-0.479090\pi\) |
−0.971285 | + | 0.237920i | \(0.923534\pi\) | |||||||
\(758\) | −18.3539 | − | 3.23629i | −0.666644 | − | 0.117547i | ||||
\(759\) | 0.155018 | + | 0.0664336i | 0.00562680 | + | 0.00241139i | ||||
\(760\) | 0.993027 | + | 2.53585i | 0.0360209 | + | 0.0919851i | ||||
\(761\) | 3.60174i | 0.130563i | 0.997867 | + | 0.0652815i | \(0.0207945\pi\) | ||||
−0.997867 | + | 0.0652815i | \(0.979205\pi\) | |||||||
\(762\) | 10.3816 | + | 1.83056i | 0.376086 | + | 0.0663141i | ||||
\(763\) | −5.01435 | + | 5.97587i | −0.181532 | + | 0.216341i | ||||
\(764\) | 19.4614 | + | 7.08338i | 0.704089 | + | 0.256268i | ||||
\(765\) | 3.02759 | + | 8.31824i | 0.109463 | + | 0.300747i | ||||
\(766\) | 18.4637 | + | 22.0041i | 0.667119 | + | 0.795041i | ||||
\(767\) | −18.2102 | + | 10.5137i | −0.657533 | + | 0.379627i | ||||
\(768\) | −0.804229 | − | 0.464322i | −0.0290201 | − | 0.0167548i | ||||
\(769\) | −33.7888 | + | 5.95788i | −1.21846 | + | 0.214847i | −0.745661 | − | 0.666325i | \(-0.767866\pi\) |
−0.472796 | + | 0.881172i | \(0.656755\pi\) | |||||||
\(770\) | −0.947802 | + | 4.04169i | −0.0341564 | + | 0.145652i | ||||
\(771\) | 10.6263 | − | 18.4053i | 0.382698 | − | 0.662852i | ||||
\(772\) | −3.81783 | − | 6.61268i | −0.137407 | − | 0.237996i | ||||
\(773\) | −30.8029 | − | 36.7095i | −1.10790 | − | 1.32035i | −0.942531 | − | 0.334117i | \(-0.891562\pi\) |
−0.165372 | − | 0.986231i | \(-0.552883\pi\) | |||||||
\(774\) | 1.41266 | + | 3.88125i | 0.0507770 | + | 0.139509i | ||||
\(775\) | −14.5764 | + | 40.0484i | −0.523600 | + | 1.43858i | ||||
\(776\) | −5.48774 | + | 6.54003i | −0.196998 | + | 0.234774i | ||||
\(777\) | 1.63429 | + | 0.288169i | 0.0586298 | + | 0.0103380i | ||||
\(778\) | 34.0737 | 1.22160 | ||||||||
\(779\) | −13.4031 | − | 2.03061i | −0.480216 | − | 0.0727540i | ||||
\(780\) | − | 2.13131i | − | 0.0763133i | ||||||
\(781\) | 26.2085 | − | 40.0542i | 0.937814 | − | 1.43325i | ||||
\(782\) | 0.233295 | − | 0.278030i | 0.00834260 | − | 0.00994233i | ||||
\(783\) | −6.41797 | + | 17.6332i | −0.229360 | + | 0.630160i | ||||
\(784\) | −2.80634 | + | 1.02143i | −0.100227 | + | 0.0364795i | ||||
\(785\) | 10.9791 | − | 9.21260i | 0.391863 | − | 0.328812i | ||||
\(786\) | −3.46256 | − | 5.99734i | −0.123506 | − | 0.213918i | ||||
\(787\) | −5.28279 | + | 9.15005i | −0.188311 | + | 0.326164i | −0.944687 | − | 0.327973i | \(-0.893635\pi\) |
0.756376 | + | 0.654137i | \(0.226968\pi\) | |||||||
\(788\) | −4.85268 | + | 0.855658i | −0.172869 | + | 0.0304815i | ||||
\(789\) | 1.18392 | + | 6.71437i | 0.0421488 | + | 0.239038i | ||||
\(790\) | −3.17822 | + | 5.50484i | −0.113076 | + | 0.195853i | ||||
\(791\) | −1.39892 | − | 2.42300i | −0.0497398 | − | 0.0861519i | ||||
\(792\) | 2.04941 | + | 6.78702i | 0.0728227 | + | 0.241166i | ||||
\(793\) | −3.23775 | − | 8.89565i | −0.114976 | − | 0.315894i | ||||
\(794\) | 24.2870 | + | 8.83974i | 0.861913 | + | 0.313711i | ||||
\(795\) | −5.08221 | − | 4.26448i | −0.180247 | − | 0.151245i | ||||
\(796\) | 2.26017 | − | 12.8181i | 0.0801096 | − | 0.454324i | ||||
\(797\) | − | 35.2695i | − | 1.24931i | −0.780901 | − | 0.624655i | \(-0.785240\pi\) | ||
0.780901 | − | 0.624655i | \(-0.214760\pi\) | |||||||
\(798\) | 7.94985 | − | 1.60081i | 0.281422 | − | 0.0566681i | ||||
\(799\) | − | 12.9807i | − | 0.459225i | ||||||
\(800\) | −0.800457 | + | 4.53962i | −0.0283004 | + | 0.160500i | ||||
\(801\) | −16.0633 | + | 19.1435i | −0.567570 | + | 0.676404i | ||||
\(802\) | −1.55223 | + | 4.26471i | −0.0548111 | + | 0.150592i | ||||
\(803\) | 46.1931 | + | 2.58077i | 1.63012 | + | 0.0910733i | ||||
\(804\) | 7.42655 | − | 6.23161i | 0.261914 | − | 0.219772i | ||||
\(805\) | 0.0593570 | − | 0.0342698i | 0.00209206 | − | 0.00120785i | ||||
\(806\) | −29.4126 | − | 16.9814i | −1.03601 | − | 0.598143i | ||||
\(807\) | 0.182173 | + | 1.03315i | 0.00641278 | + | 0.0363687i | ||||
\(808\) | −5.67554 | + | 1.00075i | −0.199665 | + | 0.0352063i | ||||
\(809\) | −7.56263 | − | 4.36629i | −0.265888 | − | 0.153511i | 0.361129 | − | 0.932516i | \(-0.382391\pi\) |
−0.627018 | + | 0.779005i | \(0.715725\pi\) | |||||||
\(810\) | 0.619248 | + | 1.07257i | 0.0217582 | + | 0.0376862i | ||||
\(811\) | −31.3282 | + | 26.2875i | −1.10008 | + | 0.923079i | −0.997431 | − | 0.0716385i | \(-0.977177\pi\) |
−0.102652 | + | 0.994717i | \(0.532733\pi\) | |||||||
\(812\) | 2.69495 | + | 7.40432i | 0.0945743 | + | 0.259841i | ||||
\(813\) | −10.5609 | − | 3.84384i | −0.370385 | − | 0.134809i | ||||
\(814\) | 1.33399 | + | 2.64059i | 0.0467564 | + | 0.0925528i | ||||
\(815\) | 1.75225 | − | 9.93752i | 0.0613788 | − | 0.348096i | ||||
\(816\) | −6.15512 | −0.215472 | ||||||||
\(817\) | 6.58085 | + | 5.25623i | 0.230235 | + | 0.183892i | ||||
\(818\) | 16.1082 | 0.563209 | ||||||||
\(819\) | 15.4924 | + | 2.73172i | 0.541347 | + | 0.0954542i | ||||
\(820\) | 1.48846 | + | 1.24897i | 0.0519793 | + | 0.0436158i | ||||
\(821\) | −5.11832 | + | 14.0625i | −0.178631 | + | 0.490784i | −0.996401 | − | 0.0847605i | \(-0.972987\pi\) |
0.817771 | + | 0.575544i | \(0.195210\pi\) | |||||||
\(822\) | −6.20533 | − | 17.0490i | −0.216436 | − | 0.594652i | ||||
\(823\) | −5.28350 | + | 4.43339i | −0.184171 | + | 0.154538i | −0.730212 | − | 0.683220i | \(-0.760579\pi\) |
0.546041 | + | 0.837759i | \(0.316134\pi\) | |||||||
\(824\) | 14.4098 | − | 8.31950i | 0.501989 | − | 0.289824i | ||||
\(825\) | −11.3681 | + | 8.50511i | −0.395786 | + | 0.296110i | ||||
\(826\) | 1.99135 | + | 11.2935i | 0.0692879 | + | 0.392951i | ||||
\(827\) | 4.52102 | + | 25.6400i | 0.157211 | + | 0.891590i | 0.956736 | + | 0.290957i | \(0.0939736\pi\) |
−0.799525 | + | 0.600633i | \(0.794915\pi\) | |||||||
\(828\) | 0.0585263 | − | 0.101370i | 0.00203393 | − | 0.00352287i | ||||
\(829\) | 35.6567 | − | 20.5864i | 1.23841 | − | 0.714996i | 0.269641 | − | 0.962961i | \(-0.413095\pi\) |
0.968769 | + | 0.247965i | \(0.0797617\pi\) | |||||||
\(830\) | 7.12956 | + | 8.49668i | 0.247471 | + | 0.294924i | ||||
\(831\) | −6.74390 | + | 2.45458i | −0.233943 | + | 0.0851484i | ||||
\(832\) | −3.45189 | − | 1.25639i | −0.119673 | − | 0.0435574i | ||||
\(833\) | −12.7236 | + | 15.1634i | −0.440847 | + | 0.525381i | ||||
\(834\) | −2.15821 | + | 12.2398i | −0.0747327 | + | 0.423830i | ||||
\(835\) | −3.76977 | −0.130458 | ||||||||
\(836\) | 10.7751 | + | 9.63834i | 0.372664 | + | 0.333349i | ||||
\(837\) | −44.1105 | −1.52468 | ||||||||
\(838\) | 0.884289 | − | 5.01505i | 0.0305473 | − | 0.173242i | ||||
\(839\) | −2.02461 | + | 2.41284i | −0.0698974 | + | 0.0833005i | −0.799860 | − | 0.600187i | \(-0.795093\pi\) |
0.729963 | + | 0.683487i | \(0.239537\pi\) | |||||||
\(840\) | −1.09226 | − | 0.397550i | −0.0376866 | − | 0.0137168i | ||||
\(841\) | 12.7147 | − | 4.62778i | 0.438438 | − | 0.159579i | ||||
\(842\) | 1.19790 | + | 1.42760i | 0.0412824 | + | 0.0491984i | ||||
\(843\) | 4.56692 | − | 2.63671i | 0.157293 | − | 0.0908132i | ||||
\(844\) | 9.19554 | − | 15.9271i | 0.316524 | − | 0.548235i | ||||
\(845\) | −0.0536023 | − | 0.303994i | −0.00184398 | − | 0.0104577i | ||||
\(846\) | −0.726964 | − | 4.12281i | −0.0249935 | − | 0.141745i | ||||
\(847\) | 5.18357 | + | 21.4189i | 0.178110 | + | 0.735963i | ||||
\(848\) | −9.90268 | + | 5.71731i | −0.340059 | + | 0.196333i | ||||
\(849\) | −4.36757 | + | 3.66482i | −0.149895 | + | 0.125776i | ||||
\(850\) | 10.4498 | + | 28.7105i | 0.358424 | + | 0.984763i | ||||
\(851\) | 0.0167057 | − | 0.0458987i | 0.000572666 | − | 0.00157339i | ||||
\(852\) | 10.2669 | + | 8.61498i | 0.351739 | + | 0.295144i | ||||
\(853\) | 49.7126 | + | 8.76568i | 1.70213 | + | 0.300131i | 0.938437 | − | 0.345450i | \(-0.112274\pi\) |
0.763692 | + | 0.645581i | \(0.223385\pi\) | |||||||
\(854\) | −5.16279 | −0.176667 | ||||||||
\(855\) | 5.11045 | + | 2.78804i | 0.174774 | + | 0.0953489i | ||||
\(856\) | 12.3920 | 0.423550 | ||||||||
\(857\) | 0.983982 | − | 5.58044i | 0.0336122 | − | 0.190624i | −0.963379 | − | 0.268145i | \(-0.913589\pi\) |
0.996991 | + | 0.0775209i | \(0.0247004\pi\) | |||||||
\(858\) | −5.10163 | − | 10.0985i | −0.174167 | − | 0.344758i | ||||
\(859\) | −33.6438 | − | 12.2453i | −1.14791 | − | 0.417806i | −0.303148 | − | 0.952944i | \(-0.598038\pi\) |
−0.844765 | + | 0.535138i | \(0.820260\pi\) | |||||||
\(860\) | −0.412890 | − | 1.13441i | −0.0140794 | − | 0.0386829i | ||||
\(861\) | 4.43224 | − | 3.71909i | 0.151050 | − | 0.126746i | ||||
\(862\) | 2.83651 | + | 4.91299i | 0.0966121 | + | 0.167337i | ||||
\(863\) | 43.0113 | + | 24.8326i | 1.46412 | + | 0.845311i | 0.999198 | − | 0.0400396i | \(-0.0127484\pi\) |
0.464924 | + | 0.885351i | \(0.346082\pi\) | |||||||
\(864\) | −4.69854 | + | 0.828479i | −0.159847 | + | 0.0281854i | ||||
\(865\) | −2.41083 | − | 13.6725i | −0.0819706 | − | 0.464878i | ||||
\(866\) | −15.7498 | − | 9.09313i | −0.535199 | − | 0.308997i | ||||
\(867\) | −21.6590 | + | 12.5048i | −0.735578 | + | 0.424686i | ||||
\(868\) | −14.1889 | + | 11.9059i | −0.481603 | + | 0.404113i | ||||
\(869\) | −1.88225 | + | 33.6904i | −0.0638510 | + | 1.14287i | ||||
\(870\) | 0.780482 | − | 2.14436i | 0.0264608 | − | 0.0727005i | ||||
\(871\) | 24.6503 | − | 29.3771i | 0.835245 | − | 0.995406i | ||||
\(872\) | 0.676166 | − | 3.83473i | 0.0228979 | − | 0.129860i | ||||
\(873\) | 18.2497i | 0.617660i | ||||||||
\(874\) | −0.00576933 | − | 0.238616i | −0.000195150 | − | 0.00807131i | ||||
\(875\) | 12.0282i | 0.406626i | ||||||||
\(876\) | −2.24945 | + | 12.7573i | −0.0760020 | + | 0.431029i | ||||
\(877\) | −5.94236 | − | 4.98623i | −0.200659 | − | 0.168373i | 0.536921 | − | 0.843632i | \(-0.319587\pi\) |
−0.737580 | + | 0.675259i | \(0.764032\pi\) | |||||||
\(878\) | −22.8740 | − | 8.32544i | −0.771959 | − | 0.280970i | ||||
\(879\) | −4.14922 | − | 11.3999i | −0.139950 | − | 0.384509i | ||||
\(880\) | −0.598999 | − | 1.98370i | −0.0201922 | − | 0.0668704i | ||||
\(881\) | −13.3827 | − | 23.1796i | −0.450876 | − | 0.780939i | 0.547565 | − | 0.836763i | \(-0.315555\pi\) |
−0.998441 | + | 0.0558237i | \(0.982222\pi\) | |||||||
\(882\) | −3.19195 | + | 5.52862i | −0.107479 | + | 0.186158i | ||||
\(883\) | 3.55567 | + | 20.1652i | 0.119658 | + | 0.678613i | 0.984338 | + | 0.176291i | \(0.0564099\pi\) |
−0.864680 | + | 0.502323i | \(0.832479\pi\) | |||||||
\(884\) | −23.9779 | + | 4.22794i | −0.806462 | + | 0.142201i | ||||
\(885\) | 1.66058 | − | 2.87621i | 0.0558197 | − | 0.0966826i | ||||
\(886\) | −6.99497 | − | 12.1156i | −0.235001 | − | 0.407033i | ||||
\(887\) | −12.4659 | + | 10.4601i | −0.418563 | + | 0.351216i | −0.827616 | − | 0.561295i | \(-0.810303\pi\) |
0.409053 | + | 0.912510i | \(0.365859\pi\) | |||||||
\(888\) | −0.778393 | + | 0.283312i | −0.0261212 | + | 0.00950732i | ||||
\(889\) | 7.77823 | − | 21.3705i | 0.260873 | − | 0.716744i | ||||
\(890\) | 4.69496 | − | 5.59524i | 0.157376 | − | 0.187553i | ||||
\(891\) | 5.50146 | + | 3.59975i | 0.184306 | + | 0.120596i | ||||
\(892\) | − | 8.03569i | − | 0.269055i | ||||||
\(893\) | −5.64373 | − | 6.40492i | −0.188860 | − | 0.214333i | ||||
\(894\) | −2.01557 | −0.0674107 | ||||||||
\(895\) | −5.72168 | − | 1.00889i | −0.191255 | − | 0.0337233i | ||||
\(896\) | −1.28775 | + | 1.53468i | −0.0430207 | + | 0.0512701i | ||||
\(897\) | −0.0638884 | + | 0.175532i | −0.00213317 | + | 0.00586084i | ||||
\(898\) | −10.9553 | − | 30.0995i | −0.365584 | − | 1.00443i | ||||
\(899\) | −23.3740 | − | 27.8561i | −0.779568 | − | 0.929053i | ||||
\(900\) | 4.92684 | + | 8.53354i | 0.164228 | + | 0.284451i | ||||
\(901\) | −37.8948 | + | 65.6357i | −1.26246 | + | 2.18664i | ||||
\(902\) | 10.0422 | + | 2.35495i | 0.334368 | + | 0.0784113i | ||||
\(903\) | −3.54014 | + | 0.624221i | −0.117808 | + | 0.0207728i | ||||
\(904\) | 1.20945 | + | 0.698278i | 0.0402258 | + | 0.0232244i | ||||
\(905\) | 6.59251 | − | 3.80619i | 0.219143 | − | 0.126522i | ||||
\(906\) | −4.14568 | − | 4.94063i | −0.137731 | − | 0.164141i | ||||
\(907\) | −13.3958 | − | 36.8048i | −0.444802 | − | 1.22208i | −0.936299 | − | 0.351204i | \(-0.885772\pi\) |
0.491497 | − | 0.870879i | \(-0.336450\pi\) | |||||||
\(908\) | 16.1998 | + | 5.89625i | 0.537610 | + | 0.195674i | ||||
\(909\) | −7.91870 | + | 9.43714i | −0.262647 | + | 0.313010i | ||||
\(910\) | −4.52808 | − | 0.798423i | −0.150105 | − | 0.0264675i | ||||
\(911\) | 10.8425i | 0.359228i | 0.983737 | + | 0.179614i | \(0.0574848\pi\) | ||||
−0.983737 | + | 0.179614i | \(0.942515\pi\) | |||||||
\(912\) | −3.03705 | + | 2.67611i | −0.100567 | + | 0.0886147i | ||||
\(913\) | 54.1191 | + | 23.1930i | 1.79108 | + | 0.767575i | ||||
\(914\) | −36.9040 | − | 6.50717i | −1.22068 | − | 0.215238i | ||||
\(915\) | 1.14538 | + | 0.961090i | 0.0378652 | + | 0.0317726i | ||||
\(916\) | 20.0511 | + | 7.29800i | 0.662507 | + | 0.241133i | ||||
\(917\) | −14.0388 | + | 5.10970i | −0.463601 | + | 0.168737i | ||||
\(918\) | −24.2244 | + | 20.3267i | −0.799523 | + | 0.670880i | ||||
\(919\) | −21.8462 | + | 12.6129i | −0.720639 | + | 0.416061i | −0.814988 | − | 0.579478i | \(-0.803256\pi\) |
0.0943487 | + | 0.995539i | \(0.469923\pi\) | |||||||
\(920\) | −0.0171060 | + | 0.0296284i | −0.000563967 | + | 0.000976819i | ||||
\(921\) | 14.9963 | − | 2.64424i | 0.494143 | − | 0.0871308i | ||||
\(922\) | 28.4707 | − | 5.02015i | 0.937633 | − | 0.165330i | ||||
\(923\) | 45.9134 | + | 26.5081i | 1.51126 | + | 0.872526i | ||||
\(924\) | −6.12691 | + | 0.730836i | −0.201561 | + | 0.0240427i | ||||
\(925\) | 2.64301 | + | 3.14982i | 0.0869018 | + | 0.103566i | ||||
\(926\) | 21.0753 | − | 7.67079i | 0.692578 | − | 0.252078i | ||||
\(927\) | 12.1649 | − | 33.4229i | 0.399549 | − | 1.09775i | ||||
\(928\) | −3.01293 | − | 2.52815i | −0.0989043 | − | 0.0829905i | ||||
\(929\) | 8.44982 | − | 47.9213i | 0.277230 | − | 1.57225i | −0.454560 | − | 0.890716i | \(-0.650203\pi\) |
0.731789 | − | 0.681531i | \(-0.238685\pi\) | |||||||
\(930\) | 5.36423 | 0.175900 | ||||||||
\(931\) | 0.314652 | + | 13.0138i | 0.0103123 | + | 0.426511i | ||||
\(932\) | − | 1.68805i | − | 0.0552938i | ||||||
\(933\) | −7.51787 | − | 1.32560i | −0.246124 | − | 0.0433983i | ||||
\(934\) | 5.74414 | + | 4.81991i | 0.187954 | + | 0.157712i | ||||
\(935\) | −10.0123 | − | 9.40148i | −0.327439 | − | 0.307461i | ||||
\(936\) | −7.37884 | + | 2.68568i | −0.241185 | + | 0.0877841i | ||||
\(937\) | −16.6284 | − | 19.8170i | −0.543227 | − | 0.647393i | 0.422681 | − | 0.906279i | \(-0.361089\pi\) |
−0.965908 | + | 0.258885i | \(0.916645\pi\) | |||||||
\(938\) | −10.4573 | − | 18.1125i | −0.341442 | − | 0.591395i | ||||
\(939\) | 1.21022 | + | 0.698721i | 0.0394940 | + | 0.0228019i | ||||
\(940\) | 0.212476 | + | 1.20501i | 0.00693019 | + | 0.0393031i | ||||
\(941\) | 6.41050 | + | 36.3557i | 0.208976 | + | 1.18516i | 0.891059 | + | 0.453888i | \(0.149963\pi\) |
−0.682082 | + | 0.731275i | \(0.738925\pi\) | |||||||
\(942\) | 18.4488 | + | 10.6514i | 0.601093 | + | 0.347041i | ||||
\(943\) | −0.0851483 | − | 0.147481i | −0.00277281 | − | 0.00480265i | ||||
\(944\) | −3.67943 | − | 4.38497i | −0.119755 | − | 0.142719i | ||||
\(945\) | −5.61162 | + | 2.04246i | −0.182546 | + | 0.0664413i | ||||
\(946\) | −4.67172 | − | 4.38669i | −0.151891 | − | 0.142623i | ||||
\(947\) | 7.65335 | + | 6.42192i | 0.248700 | + | 0.208684i | 0.758612 | − | 0.651542i | \(-0.225878\pi\) |
−0.509912 | + | 0.860227i | \(0.670322\pi\) | |||||||
\(948\) | −9.30437 | − | 1.64061i | −0.302192 | − | 0.0532846i | ||||
\(949\) | 51.2424i | 1.66340i | ||||||||
\(950\) | 17.6388 | + | 9.62296i | 0.572278 | + | 0.312210i | ||||
\(951\) | −14.0788 | −0.456535 | ||||||||
\(952\) | −2.30580 | + | 13.0769i | −0.0747315 | + | 0.423823i | ||||
\(953\) | −15.4596 | − | 12.9721i | −0.500785 | − | 0.420209i | 0.357088 | − | 0.934071i | \(-0.383770\pi\) |
−0.857873 | + | 0.513862i | \(0.828214\pi\) | |||||||
\(954\) | −8.35997 | + | 22.9688i | −0.270664 | + | 0.743643i | ||||
\(955\) | −12.1591 | + | 4.42555i | −0.393460 | + | 0.143208i | ||||
\(956\) | −3.30546 | − | 3.93929i | −0.106906 | − | 0.127406i | ||||
\(957\) | −1.43480 | − | 12.0285i | −0.0463804 | − | 0.388827i | ||||
\(958\) | 17.0964 | + | 9.87062i | 0.552360 | + | 0.318905i | ||||
\(959\) | −38.5461 | + | 6.79671i | −1.24472 | + | 0.219477i | ||||
\(960\) | 0.571383 | − | 0.100750i | 0.0184413 | − | 0.00325170i | ||||
\(961\) | 27.2398 | − | 47.1807i | 0.878702 | − | 1.52196i | ||||
\(962\) | −2.83770 | + | 1.63835i | −0.0914911 | + | 0.0528224i | ||||
\(963\) | 20.2921 | − | 17.0271i | 0.653903 | − | 0.548690i | ||||
\(964\) | −20.9630 | + | 7.62991i | −0.675173 | + | 0.245743i | ||||
\(965\) | 4.48291 | + | 1.63165i | 0.144310 | + | 0.0525245i | ||||
\(966\) | 0.0780400 | + | 0.0654833i | 0.00251090 | + | 0.00210689i | ||||
\(967\) | −49.1650 | − | 8.66911i | −1.58104 | − | 0.278780i | −0.686962 | − | 0.726693i | \(-0.741056\pi\) |
−0.894077 | + | 0.447913i | \(0.852167\pi\) | |||||||
\(968\) | −7.58644 | − | 7.96529i | −0.243838 | − | 0.256014i | ||||
\(969\) | −8.56417 | + | 25.4260i | −0.275121 | + | 0.816799i | ||||
\(970\) | − | 5.33400i | − | 0.171265i | ||||||
\(971\) | 5.34667 | + | 0.942762i | 0.171583 | + | 0.0302547i | 0.258779 | − | 0.965936i | \(-0.416680\pi\) |
−0.0871967 | + | 0.996191i | \(0.527791\pi\) | |||||||
\(972\) | −10.3835 | + | 12.3746i | −0.333052 | + | 0.396916i | ||||
\(973\) | 25.1956 | + | 9.17045i | 0.807734 | + | 0.293991i | ||||
\(974\) | 5.47399 | + | 15.0397i | 0.175398 | + | 0.481902i | ||||
\(975\) | −10.1078 | − | 12.0460i | −0.323708 | − | 0.385780i | ||||
\(976\) | 2.23178 | − | 1.28852i | 0.0714375 | − | 0.0412444i | ||||
\(977\) | 17.9086 | + | 10.3395i | 0.572946 | + | 0.330791i | 0.758325 | − | 0.651876i | \(-0.226018\pi\) |
−0.185379 | + | 0.982667i | \(0.559351\pi\) | |||||||
\(978\) | 14.7707 | − | 2.60447i | 0.472314 | − | 0.0832816i | ||||
\(979\) | 8.85245 | − | 37.7493i | 0.282925 | − | 1.20647i | ||||
\(980\) | 0.932937 | − | 1.61589i | 0.0298016 | − | 0.0516179i | ||||
\(981\) | −4.16182 | − | 7.20849i | −0.132877 | − | 0.230149i | ||||
\(982\) | 3.97015 | + | 4.73144i | 0.126693 | + | 0.150986i | ||||
\(983\) | 9.51830 | + | 26.1513i | 0.303587 | + | 0.834098i | 0.993870 | + | 0.110558i | \(0.0352638\pi\) |
−0.690283 | + | 0.723539i | \(0.742514\pi\) | |||||||
\(984\) | −0.987772 | + | 2.71388i | −0.0314890 | + | 0.0865154i | ||||
\(985\) | 1.97890 | − | 2.35837i | 0.0630531 | − | 0.0751438i | ||||
\(986\) | −25.6728 | − | 4.52681i | −0.817590 | − | 0.144163i | ||||
\(987\) | 3.64355 | 0.115975 | ||||||||
\(988\) | −9.99289 | + | 12.5112i | −0.317916 | + | 0.398033i | ||||
\(989\) | 0.105805i | 0.00336439i | ||||||||
\(990\) | −3.70654 | − | 2.42528i | −0.117802 | − | 0.0770806i | ||||
\(991\) | −24.9213 | + | 29.7000i | −0.791651 | + | 0.943452i | −0.999397 | − | 0.0347304i | \(-0.988943\pi\) |
0.207746 | + | 0.978183i | \(0.433387\pi\) | |||||||
\(992\) | 3.16215 | − | 8.68794i | 0.100398 | − | 0.275842i | ||||
\(993\) | −6.52610 | + | 2.37531i | −0.207100 | + | 0.0753781i | ||||
\(994\) | 22.1491 | − | 18.5853i | 0.702527 | − | 0.589490i | ||||
\(995\) | 4.06601 | + | 7.04253i | 0.128901 | + | 0.223263i | ||||
\(996\) | −8.24303 | + | 14.2773i | −0.261190 | + | 0.452395i | ||||
\(997\) | 16.8457 | − | 2.97036i | 0.533510 | − | 0.0940722i | 0.0995983 | − | 0.995028i | \(-0.468244\pi\) |
0.433911 | + | 0.900956i | \(0.357133\pi\) | |||||||
\(998\) | 0.0784329 | + | 0.444815i | 0.00248275 | + | 0.0140804i | ||||
\(999\) | −2.12787 | + | 3.68558i | −0.0673228 | + | 0.116607i |
(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 | 418.2.q.b.21.4 | yes | 60 | |
11.10 | odd | 2 | 418.2.q.a.21.4 | ✓ | 60 | ||
19.10 | odd | 18 | 418.2.q.a.219.4 | yes | 60 | ||
209.10 | even | 18 | inner | 418.2.q.b.219.4 | yes | 60 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
418.2.q.a.21.4 | ✓ | 60 | 11.10 | odd | 2 | ||
418.2.q.a.219.4 | yes | 60 | 19.10 | odd | 18 | ||
418.2.q.b.21.4 | yes | 60 | 1.1 | even | 1 | trivial | |
418.2.q.b.219.4 | yes | 60 | 209.10 | even | 18 | inner |