Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [115,2,Mod(4,115)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(115, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([11, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("115.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 115 = 5 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 115.j (of order \(22\), degree \(10\), 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: | \(0.918279623245\) |
Analytic rank: | \(0\) |
Dimension: | \(100\) |
Relative dimension: | \(10\) over \(\Q(\zeta_{22})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{22}]$ |
Embedding invariants
Embedding label | 9.1 | ||
Character | \(\chi\) | \(=\) | 115.9 |
Dual form | 115.2.j.a.64.1 |
$q$-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 \(\left(\mathbb{Z}/115\mathbb{Z}\right)^\times\).
\(n\) | \(47\) | \(51\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{5}{11}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.743795 | − | 2.53313i | −0.525942 | − | 1.79119i | −0.607256 | − | 0.794506i | \(-0.707730\pi\) |
0.0813139 | − | 0.996689i | \(-0.474088\pi\) | |||||||
\(3\) | −1.34601 | + | 1.16633i | −0.777120 | + | 0.673379i | −0.950239 | − | 0.311522i | \(-0.899161\pi\) |
0.173118 | + | 0.984901i | \(0.444616\pi\) | |||||||
\(4\) | −4.18102 | + | 2.68698i | −2.09051 | + | 1.34349i | ||||
\(5\) | −2.23607 | + | 0.00123367i | −1.00000 | + | 0.000551712i | ||||
\(6\) | 3.95561 | + | 2.54212i | 1.61487 | + | 1.03782i | ||||
\(7\) | 1.87277 | + | 0.855264i | 0.707839 | + | 0.323259i | 0.736601 | − | 0.676327i | \(-0.236429\pi\) |
−0.0287625 | + | 0.999586i | \(0.509157\pi\) | |||||||
\(8\) | 5.92582 | + | 5.13475i | 2.09509 | + | 1.81541i | ||||
\(9\) | 0.0244873 | − | 0.170313i | 0.00816245 | − | 0.0567711i | ||||
\(10\) | 1.66630 | + | 5.66334i | 0.526930 | + | 1.79090i | ||||
\(11\) | −5.55748 | − | 1.63182i | −1.67564 | − | 0.492013i | −0.700511 | − | 0.713641i | \(-0.747045\pi\) |
−0.975131 | + | 0.221628i | \(0.928863\pi\) | |||||||
\(12\) | 2.49381 | − | 8.49314i | 0.719901 | − | 2.45176i | ||||
\(13\) | −2.87256 | + | 1.31185i | −0.796703 | + | 0.363842i | −0.771814 | − | 0.635848i | \(-0.780651\pi\) |
−0.0248891 | + | 0.999690i | \(0.507923\pi\) | |||||||
\(14\) | 0.773542 | − | 5.38010i | 0.206738 | − | 1.43789i | ||||
\(15\) | 3.00833 | − | 2.60964i | 0.776749 | − | 0.673807i | ||||
\(16\) | 4.47020 | − | 9.78837i | 1.11755 | − | 2.44709i | ||||
\(17\) | −1.10511 | + | 1.71958i | −0.268029 | + | 0.417060i | −0.949013 | − | 0.315238i | \(-0.897916\pi\) |
0.680984 | + | 0.732298i | \(0.261552\pi\) | |||||||
\(18\) | −0.449639 | + | 0.0646484i | −0.105981 | + | 0.0152378i | ||||
\(19\) | −1.77165 | + | 1.13857i | −0.406444 | + | 0.261206i | −0.727851 | − | 0.685736i | \(-0.759481\pi\) |
0.321407 | + | 0.946941i | \(0.395844\pi\) | |||||||
\(20\) | 9.34573 | − | 6.01342i | 2.08977 | − | 1.34464i | ||||
\(21\) | −3.51828 | + | 1.03306i | −0.767752 | + | 0.225432i | ||||
\(22\) | 15.2916i | 3.26017i | ||||||||
\(23\) | −1.21456 | − | 4.63949i | −0.253253 | − | 0.967400i | ||||
\(24\) | −13.9650 | −2.85060 | ||||||||
\(25\) | 5.00000 | − | 0.00551712i | 0.999999 | − | 0.00110342i | ||||
\(26\) | 5.45969 | + | 6.30081i | 1.07073 | + | 1.23569i | ||||
\(27\) | −2.72301 | − | 4.23709i | −0.524044 | − | 0.815428i | ||||
\(28\) | −10.1281 | + | 1.45621i | −1.91404 | + | 0.275197i | ||||
\(29\) | 1.74171 | + | 1.11933i | 0.323428 | + | 0.207855i | 0.692272 | − | 0.721637i | \(-0.256610\pi\) |
−0.368844 | + | 0.929491i | \(0.620246\pi\) | |||||||
\(30\) | −8.84816 | − | 5.67947i | −1.61544 | − | 1.03692i | ||||
\(31\) | −1.04153 | + | 1.20200i | −0.187065 | + | 0.215885i | −0.841534 | − | 0.540204i | \(-0.818347\pi\) |
0.654469 | + | 0.756089i | \(0.272892\pi\) | |||||||
\(32\) | −12.5978 | − | 1.81129i | −2.22699 | − | 0.320193i | ||||
\(33\) | 9.38367 | − | 4.28538i | 1.63349 | − | 0.745989i | ||||
\(34\) | 5.17791 | + | 1.52037i | 0.888004 | + | 0.260742i | ||||
\(35\) | −4.18869 | − | 1.91012i | −0.708017 | − | 0.322869i | ||||
\(36\) | 0.355246 | + | 0.777880i | 0.0592076 | + | 0.129647i | ||||
\(37\) | 0.620561 | + | 0.0892232i | 0.102020 | + | 0.0146682i | 0.193136 | − | 0.981172i | \(-0.438134\pi\) |
−0.0911159 | + | 0.995840i | \(0.529043\pi\) | |||||||
\(38\) | 4.20189 | + | 3.64095i | 0.681636 | + | 0.590641i | ||||
\(39\) | 2.33645 | − | 5.11610i | 0.374131 | − | 0.819232i | ||||
\(40\) | −13.2569 | − | 11.4743i | −2.09609 | − | 1.81425i | ||||
\(41\) | 0.289709 | + | 2.01497i | 0.0452449 | + | 0.314685i | 0.999858 | + | 0.0168374i | \(0.00535976\pi\) |
−0.954613 | + | 0.297848i | \(0.903731\pi\) | |||||||
\(42\) | 5.23376 | + | 8.14389i | 0.807586 | + | 1.25663i | ||||
\(43\) | −3.14193 | + | 2.72250i | −0.479141 | + | 0.415178i | −0.860658 | − | 0.509184i | \(-0.829947\pi\) |
0.381517 | + | 0.924362i | \(0.375402\pi\) | |||||||
\(44\) | 27.6206 | − | 8.11014i | 4.16396 | − | 1.22265i | ||||
\(45\) | −0.0545453 | + | 0.380862i | −0.00813113 | + | 0.0567756i | ||||
\(46\) | −10.8491 | + | 6.52746i | −1.59961 | + | 0.962421i | ||||
\(47\) | 0.403164i | 0.0588075i | 0.999568 | + | 0.0294037i | \(0.00936085\pi\) | ||||
−0.999568 | + | 0.0294037i | \(0.990639\pi\) | |||||||
\(48\) | 5.39949 | + | 18.3890i | 0.779349 | + | 2.65422i | ||||
\(49\) | −1.80825 | − | 2.08683i | −0.258321 | − | 0.298119i | ||||
\(50\) | −3.73295 | − | 12.6615i | −0.527918 | − | 1.79061i | ||||
\(51\) | −0.518105 | − | 3.60350i | −0.0725492 | − | 0.504591i | ||||
\(52\) | 8.48529 | − | 13.2034i | 1.17670 | − | 1.83098i | ||||
\(53\) | 7.50209 | + | 3.42609i | 1.03049 | + | 0.470610i | 0.857593 | − | 0.514330i | \(-0.171959\pi\) |
0.172899 | + | 0.984940i | \(0.444687\pi\) | |||||||
\(54\) | −8.70774 | + | 10.0493i | −1.18497 | + | 1.36753i | ||||
\(55\) | 12.4289 | + | 3.64201i | 1.67591 | + | 0.491089i | ||||
\(56\) | 6.70611 | + | 14.6843i | 0.896141 | + | 1.96228i | ||||
\(57\) | 1.05672 | − | 3.59885i | 0.139965 | − | 0.476679i | ||||
\(58\) | 1.53994 | − | 5.24454i | 0.202203 | − | 0.688642i | ||||
\(59\) | 3.73431 | + | 8.17700i | 0.486166 | + | 1.06455i | 0.980722 | + | 0.195409i | \(0.0626033\pi\) |
−0.494556 | + | 0.869146i | \(0.664669\pi\) | |||||||
\(60\) | −5.56585 | + | 18.9943i | −0.718548 | + | 2.45215i | ||||
\(61\) | 0.892000 | − | 1.02942i | 0.114209 | − | 0.131804i | −0.695766 | − | 0.718268i | \(-0.744935\pi\) |
0.809975 | + | 0.586464i | \(0.199481\pi\) | |||||||
\(62\) | 3.81950 | + | 1.74431i | 0.485077 | + | 0.221527i | ||||
\(63\) | 0.191522 | − | 0.298014i | 0.0241295 | − | 0.0375462i | ||||
\(64\) | 1.71909 | + | 11.9565i | 0.214886 | + | 1.49457i | ||||
\(65\) | 6.42161 | − | 2.93693i | 0.796503 | − | 0.364282i | ||||
\(66\) | −17.8350 | − | 20.5826i | −2.19533 | − | 2.53355i | ||||
\(67\) | −1.89660 | − | 6.45923i | −0.231707 | − | 0.789121i | −0.990467 | − | 0.137751i | \(-0.956013\pi\) |
0.758760 | − | 0.651370i | \(-0.225805\pi\) | |||||||
\(68\) | − | 10.1590i | − | 1.23196i | ||||||
\(69\) | 7.04596 | + | 4.82824i | 0.848234 | + | 0.581251i | ||||
\(70\) | −1.72306 | + | 12.0312i | −0.205944 | + | 1.43801i | ||||
\(71\) | −13.3319 | + | 3.91459i | −1.58220 | + | 0.464577i | −0.950524 | − | 0.310653i | \(-0.899452\pi\) |
−0.631680 | + | 0.775229i | \(0.717634\pi\) | |||||||
\(72\) | 1.01962 | − | 0.883509i | 0.120164 | − | 0.104123i | ||||
\(73\) | 5.58084 | + | 8.68396i | 0.653188 | + | 1.01638i | 0.997005 | + | 0.0773434i | \(0.0246438\pi\) |
−0.343817 | + | 0.939037i | \(0.611720\pi\) | |||||||
\(74\) | −0.235556 | − | 1.63833i | −0.0273828 | − | 0.190452i | ||||
\(75\) | −6.72362 | + | 5.83905i | −0.776377 | + | 0.674236i | ||||
\(76\) | 4.34798 | − | 9.52075i | 0.498748 | − | 1.09211i | ||||
\(77\) | −9.01222 | − | 7.80913i | −1.02704 | − | 0.889933i | ||||
\(78\) | −14.6976 | − | 2.11320i | −1.66418 | − | 0.239272i | ||||
\(79\) | −3.54206 | − | 7.75603i | −0.398513 | − | 0.872621i | −0.997419 | − | 0.0718020i | \(-0.977125\pi\) |
0.598906 | − | 0.800819i | \(-0.295602\pi\) | |||||||
\(80\) | −9.98359 | + | 21.8930i | −1.11620 | + | 2.44771i | ||||
\(81\) | 9.10231 | + | 2.67268i | 1.01137 | + | 0.296965i | ||||
\(82\) | 4.88870 | − | 2.23259i | 0.539867 | − | 0.246549i | ||||
\(83\) | −8.15053 | − | 1.17187i | −0.894637 | − | 0.128629i | −0.320365 | − | 0.947294i | \(-0.603806\pi\) |
−0.574272 | + | 0.818665i | \(0.694715\pi\) | |||||||
\(84\) | 11.9342 | − | 13.7728i | 1.30213 | − | 1.50273i | ||||
\(85\) | 2.46898 | − | 3.84647i | 0.267798 | − | 0.417208i | ||||
\(86\) | 9.23341 | + | 5.93395i | 0.995664 | + | 0.639875i | ||||
\(87\) | −3.64987 | + | 0.524772i | −0.391307 | + | 0.0562615i | ||||
\(88\) | −24.5536 | − | 38.2062i | −2.61742 | − | 4.07279i | ||||
\(89\) | 2.09382 | + | 2.41639i | 0.221944 | + | 0.256137i | 0.855791 | − | 0.517321i | \(-0.173071\pi\) |
−0.633847 | + | 0.773458i | \(0.718525\pi\) | |||||||
\(90\) | 1.00534 | − | 0.145113i | 0.105973 | − | 0.0152962i | ||||
\(91\) | −6.50160 | −0.681553 | ||||||||
\(92\) | 17.5443 | + | 16.1343i | 1.82912 | + | 1.68212i | ||||
\(93\) | − | 2.83267i | − | 0.293734i | ||||||
\(94\) | 1.02127 | − | 0.299871i | 0.105336 | − | 0.0309293i | ||||
\(95\) | 3.96012 | − | 2.54810i | 0.406300 | − | 0.261430i | ||||
\(96\) | 19.0693 | − | 12.2551i | 1.94625 | − | 1.25078i | ||||
\(97\) | −9.91281 | + | 1.42525i | −1.00649 | + | 0.144712i | −0.625795 | − | 0.779987i | \(-0.715225\pi\) |
−0.380698 | + | 0.924699i | \(0.624316\pi\) | |||||||
\(98\) | −3.94125 | + | 6.13270i | −0.398126 | + | 0.619497i | ||||
\(99\) | −0.414009 | + | 0.906553i | −0.0416095 | + | 0.0911120i | ||||
\(100\) | −20.8903 | + | 13.4579i | −2.08903 | + | 1.34579i | ||||
\(101\) | −2.66635 | + | 18.5449i | −0.265312 | + | 1.84529i | 0.225780 | + | 0.974178i | \(0.427507\pi\) |
−0.491092 | + | 0.871108i | \(0.663402\pi\) | |||||||
\(102\) | −8.74278 | + | 3.99269i | −0.865664 | + | 0.395335i | ||||
\(103\) | −3.68489 | + | 12.5496i | −0.363083 | + | 1.23655i | 0.552192 | + | 0.833717i | \(0.313792\pi\) |
−0.915275 | + | 0.402830i | \(0.868027\pi\) | |||||||
\(104\) | −23.7583 | − | 6.97606i | −2.32969 | − | 0.684059i | ||||
\(105\) | 7.86584 | − | 2.31433i | 0.767627 | − | 0.225856i | ||||
\(106\) | 3.09872 | − | 21.5521i | 0.300975 | − | 2.09332i | ||||
\(107\) | 1.70218 | + | 1.47495i | 0.164556 | + | 0.142588i | 0.733246 | − | 0.679963i | \(-0.238004\pi\) |
−0.568690 | + | 0.822552i | \(0.692550\pi\) | |||||||
\(108\) | 22.7699 | + | 10.3987i | 2.19104 | + | 1.00061i | ||||
\(109\) | 5.07750 | + | 3.26311i | 0.486336 | + | 0.312549i | 0.760730 | − | 0.649068i | \(-0.224841\pi\) |
−0.274394 | + | 0.961617i | \(0.588477\pi\) | |||||||
\(110\) | −0.0188647 | − | 34.1930i | −0.00179868 | − | 3.26017i | ||||
\(111\) | −0.939346 | + | 0.603681i | −0.0891588 | + | 0.0572989i | ||||
\(112\) | 16.7433 | − | 14.5081i | 1.58209 | − | 1.37089i | ||||
\(113\) | −1.49930 | − | 5.10615i | −0.141042 | − | 0.480346i | 0.858426 | − | 0.512937i | \(-0.171443\pi\) |
−0.999469 | + | 0.0325904i | \(0.989624\pi\) | |||||||
\(114\) | −9.90233 | −0.927438 | ||||||||
\(115\) | 2.72156 | + | 10.3727i | 0.253786 | + | 0.967260i | ||||
\(116\) | −10.2898 | −0.955379 | ||||||||
\(117\) | 0.153084 | + | 0.521358i | 0.0141527 | + | 0.0481996i | ||||
\(118\) | 17.9358 | − | 15.5415i | 1.65113 | − | 1.43071i | ||||
\(119\) | −3.54031 | + | 2.27522i | −0.324540 | + | 0.208569i | ||||
\(120\) | 31.2267 | − | 0.0172282i | 2.85060 | − | 0.00157271i | ||||
\(121\) | 18.9689 | + | 12.1906i | 1.72445 | + | 1.10824i | ||||
\(122\) | −3.27113 | − | 1.49387i | −0.296154 | − | 0.135249i | ||||
\(123\) | −2.74006 | − | 2.37428i | −0.247063 | − | 0.214081i | ||||
\(124\) | 1.12494 | − | 7.82415i | 0.101023 | − | 0.702629i | ||||
\(125\) | −11.1803 | + | 0.0185050i | −0.999999 | + | 0.00165513i | ||||
\(126\) | −0.897361 | − | 0.263489i | −0.0799433 | − | 0.0234735i | ||||
\(127\) | −2.44357 | + | 8.32204i | −0.216832 | + | 0.738461i | 0.777189 | + | 0.629268i | \(0.216645\pi\) |
−0.994020 | + | 0.109194i | \(0.965173\pi\) | |||||||
\(128\) | 5.85445 | − | 2.67364i | 0.517465 | − | 0.236318i | ||||
\(129\) | 1.05376 | − | 7.32904i | 0.0927781 | − | 0.645286i | ||||
\(130\) | −12.2160 | − | 14.0823i | −1.07141 | − | 1.23510i | ||||
\(131\) | 6.45185 | − | 14.1276i | 0.563701 | − | 1.23433i | −0.386383 | − | 0.922338i | \(-0.626276\pi\) |
0.950084 | − | 0.311994i | \(-0.100997\pi\) | |||||||
\(132\) | −27.7186 | + | 43.1310i | −2.41259 | + | 3.75407i | ||||
\(133\) | −4.29166 | + | 0.617047i | −0.372134 | + | 0.0535048i | ||||
\(134\) | −14.9514 | + | 9.60869i | −1.29160 | + | 0.830064i | ||||
\(135\) | 6.09406 | + | 9.47105i | 0.524493 | + | 0.815139i | ||||
\(136\) | −15.3783 | + | 4.51548i | −1.31868 | + | 0.387199i | ||||
\(137\) | − | 10.4860i | − | 0.895881i | −0.894063 | − | 0.447940i | \(-0.852158\pi\) | ||
0.894063 | − | 0.447940i | \(-0.147842\pi\) | |||||||
\(138\) | 6.98981 | − | 21.4396i | 0.595012 | − | 1.82506i | ||||
\(139\) | 13.5504 | 1.14933 | 0.574664 | − | 0.818389i | \(-0.305133\pi\) | ||||
0.574664 | + | 0.818389i | \(0.305133\pi\) | |||||||
\(140\) | 22.6454 | − | 3.26867i | 1.91389 | − | 0.276253i | ||||
\(141\) | −0.470220 | − | 0.542663i | −0.0395997 | − | 0.0457005i | ||||
\(142\) | 19.8324 | + | 30.8598i | 1.66430 | + | 2.58969i | ||||
\(143\) | 18.1049 | − | 2.60309i | 1.51401 | − | 0.217681i | ||||
\(144\) | −1.55762 | − | 1.00102i | −0.129802 | − | 0.0834187i | ||||
\(145\) | −3.89597 | − | 2.50075i | −0.323543 | − | 0.207676i | ||||
\(146\) | 17.8466 | − | 20.5961i | 1.47700 | − | 1.70454i | ||||
\(147\) | 4.86785 | + | 0.699891i | 0.401493 | + | 0.0577260i | ||||
\(148\) | −2.83432 | + | 1.29439i | −0.232980 | + | 0.106398i | ||||
\(149\) | −17.5725 | − | 5.15974i | −1.43959 | − | 0.422702i | −0.533506 | − | 0.845796i | \(-0.679126\pi\) |
−0.906086 | + | 0.423094i | \(0.860944\pi\) | |||||||
\(150\) | 19.7921 | + | 12.6888i | 1.61602 | + | 1.03603i | ||||
\(151\) | −7.26401 | − | 15.9060i | −0.591137 | − | 1.29441i | −0.934753 | − | 0.355299i | \(-0.884379\pi\) |
0.343615 | − | 0.939110i | \(-0.388348\pi\) | |||||||
\(152\) | −16.3447 | − | 2.35002i | −1.32573 | − | 0.190612i | ||||
\(153\) | 0.265807 | + | 0.230323i | 0.0214892 | + | 0.0186205i | ||||
\(154\) | −13.0783 | + | 28.6375i | −1.05388 | + | 2.30768i | ||||
\(155\) | 2.32746 | − | 2.68903i | 0.186946 | − | 0.215988i | ||||
\(156\) | 3.97813 | + | 27.6685i | 0.318505 | + | 2.21525i | ||||
\(157\) | 0.612997 | + | 0.953842i | 0.0489225 | + | 0.0761249i | 0.864853 | − | 0.502025i | \(-0.167411\pi\) |
−0.815931 | + | 0.578150i | \(0.803775\pi\) | |||||||
\(158\) | −17.0125 | + | 14.7414i | −1.35344 | + | 1.17276i | ||||
\(159\) | −14.0938 | + | 4.13833i | −1.11771 | + | 0.328191i | ||||
\(160\) | 28.1717 | + | 4.03462i | 2.22717 | + | 0.318965i | ||||
\(161\) | 1.69340 | − | 9.72744i | 0.133459 | − | 0.766630i | ||||
\(162\) | − | 25.0453i | − | 1.96774i | ||||||
\(163\) | −2.18334 | − | 7.43577i | −0.171012 | − | 0.582415i | −0.999741 | − | 0.0227638i | \(-0.992753\pi\) |
0.828728 | − | 0.559651i | \(-0.189065\pi\) | |||||||
\(164\) | −6.62546 | − | 7.64619i | −0.517361 | − | 0.597067i | ||||
\(165\) | −20.9772 | + | 9.59397i | −1.63308 | + | 0.746890i | ||||
\(166\) | 3.09382 | + | 21.5180i | 0.240127 | + | 1.67012i | ||||
\(167\) | −5.15274 | + | 8.01781i | −0.398731 | + | 0.620437i | −0.981332 | − | 0.192321i | \(-0.938399\pi\) |
0.582601 | + | 0.812758i | \(0.302035\pi\) | |||||||
\(168\) | −26.1532 | − | 11.9438i | −2.01776 | − | 0.921482i | ||||
\(169\) | −1.98257 | + | 2.28801i | −0.152506 | + | 0.176001i | ||||
\(170\) | −11.5800 | − | 3.39327i | −0.888148 | − | 0.260252i | ||||
\(171\) | 0.150530 | + | 0.329615i | 0.0115113 | + | 0.0252063i | ||||
\(172\) | 5.82119 | − | 19.8251i | 0.443861 | − | 1.51165i | ||||
\(173\) | −3.16279 | + | 10.7715i | −0.240463 | + | 0.818941i | 0.747502 | + | 0.664260i | \(0.231253\pi\) |
−0.987964 | + | 0.154681i | \(0.950565\pi\) | |||||||
\(174\) | 4.04407 | + | 8.85528i | 0.306580 | + | 0.671317i | ||||
\(175\) | 9.36854 | + | 4.26598i | 0.708195 | + | 0.322478i | ||||
\(176\) | −40.8159 | + | 47.1041i | −3.07661 | + | 3.55060i | ||||
\(177\) | −14.5635 | − | 6.65091i | −1.09466 | − | 0.499913i | ||||
\(178\) | 4.56367 | − | 7.10121i | 0.342062 | − | 0.532259i | ||||
\(179\) | −0.703686 | − | 4.89425i | −0.0525960 | − | 0.365813i | −0.999073 | − | 0.0430426i | \(-0.986295\pi\) |
0.946477 | − | 0.322771i | \(-0.104614\pi\) | |||||||
\(180\) | −0.795313 | − | 1.73895i | −0.0592792 | − | 0.129614i | ||||
\(181\) | −5.18515 | − | 5.98398i | −0.385409 | − | 0.444786i | 0.529583 | − | 0.848258i | \(-0.322349\pi\) |
−0.914992 | + | 0.403472i | \(0.867803\pi\) | |||||||
\(182\) | 4.83586 | + | 16.4694i | 0.358458 | + | 1.22079i | ||||
\(183\) | 2.42598i | 0.179333i | ||||||||
\(184\) | 16.6254 | − | 33.7292i | 1.22564 | − | 2.48655i | ||||
\(185\) | −1.38773 | − | 0.198744i | −0.102028 | − | 0.0146119i | ||||
\(186\) | −7.17552 | + | 2.10692i | −0.526135 | + | 0.154487i | ||||
\(187\) | 8.94768 | − | 7.75321i | 0.654319 | − | 0.566971i | ||||
\(188\) | −1.08329 | − | 1.68563i | −0.0790072 | − | 0.122938i | ||||
\(189\) | −1.47574 | − | 10.2640i | −0.107344 | − | 0.746594i | ||||
\(190\) | −9.40019 | − | 8.13624i | −0.681962 | − | 0.590265i | ||||
\(191\) | −5.60445 | + | 12.2720i | −0.405524 | + | 0.887973i | 0.591157 | + | 0.806557i | \(0.298672\pi\) |
−0.996680 | + | 0.0814161i | \(0.974056\pi\) | |||||||
\(192\) | −16.2591 | − | 14.0886i | −1.17340 | − | 1.01676i | ||||
\(193\) | −5.46991 | − | 0.786454i | −0.393733 | − | 0.0566102i | −0.0573948 | − | 0.998352i | \(-0.518279\pi\) |
−0.336338 | + | 0.941741i | \(0.609188\pi\) | |||||||
\(194\) | 10.9834 | + | 24.0504i | 0.788565 | + | 1.72672i | ||||
\(195\) | −5.21814 | + | 11.4428i | −0.373679 | + | 0.819439i | ||||
\(196\) | 13.1676 | + | 3.86635i | 0.940542 | + | 0.276168i | ||||
\(197\) | 17.6868 | − | 8.07729i | 1.26013 | − | 0.575483i | 0.330442 | − | 0.943826i | \(-0.392802\pi\) |
0.929690 | + | 0.368344i | \(0.120075\pi\) | |||||||
\(198\) | 2.60436 | + | 0.374450i | 0.185084 | + | 0.0266110i | ||||
\(199\) | 7.00184 | − | 8.08056i | 0.496347 | − | 0.572815i | −0.451203 | − | 0.892421i | \(-0.649005\pi\) |
0.947551 | + | 0.319606i | \(0.103550\pi\) | |||||||
\(200\) | 29.6574 | + | 25.6411i | 2.09710 | + | 1.81310i | ||||
\(201\) | 10.0864 | + | 6.48215i | 0.711441 | + | 0.457216i | ||||
\(202\) | 48.9599 | − | 7.03937i | 3.44481 | − | 0.495288i | ||||
\(203\) | 2.30450 | + | 3.58587i | 0.161744 | + | 0.251679i | ||||
\(204\) | 11.8487 | + | 13.6742i | 0.829577 | + | 0.957383i | ||||
\(205\) | −0.650294 | − | 4.50525i | −0.0454185 | − | 0.314660i | ||||
\(206\) | 34.5306 | 2.40586 | ||||||||
\(207\) | −0.819907 | + | 0.0932464i | −0.0569875 | + | 0.00648107i | ||||
\(208\) | 33.9819i | 2.35622i | ||||||||
\(209\) | 11.7038 | − | 3.43656i | 0.809571 | − | 0.237712i | ||||
\(210\) | −11.7131 | − | 18.2038i | −0.808280 | − | 1.25618i | ||||
\(211\) | 10.5813 | − | 6.80021i | 0.728449 | − | 0.468146i | −0.123118 | − | 0.992392i | \(-0.539289\pi\) |
0.851567 | + | 0.524246i | \(0.175653\pi\) | |||||||
\(212\) | −40.5722 | + | 5.83341i | −2.78651 | + | 0.400640i | ||||
\(213\) | 13.3792 | − | 20.8184i | 0.916726 | − | 1.42645i | ||||
\(214\) | 2.47016 | − | 5.40890i | 0.168857 | − | 0.369745i | ||||
\(215\) | 7.02222 | − | 6.09157i | 0.478911 | − | 0.415442i | ||||
\(216\) | 5.62032 | − | 39.0902i | 0.382414 | − | 2.65975i | ||||
\(217\) | −2.97857 | + | 1.36027i | −0.202199 | + | 0.0923411i | ||||
\(218\) | 4.48927 | − | 15.2891i | 0.304052 | − | 1.03551i | ||||
\(219\) | −17.6402 | − | 5.17963i | −1.19201 | − | 0.350007i | ||||
\(220\) | −61.7515 | + | 18.1689i | −4.16329 | + | 1.22495i | ||||
\(221\) | 0.918649 | − | 6.38934i | 0.0617950 | − | 0.429794i | ||||
\(222\) | 2.22788 | + | 1.93047i | 0.149526 | + | 0.129565i | ||||
\(223\) | 4.55894 | + | 2.08200i | 0.305289 | + | 0.139421i | 0.562169 | − | 0.827022i | \(-0.309967\pi\) |
−0.256880 | + | 0.966443i | \(0.582694\pi\) | |||||||
\(224\) | −22.0436 | − | 14.1665i | −1.47285 | − | 0.946542i | ||||
\(225\) | 0.121497 | − | 0.851701i | 0.00809980 | − | 0.0567800i | ||||
\(226\) | −11.8194 | + | 7.59586i | −0.786214 | + | 0.505269i | ||||
\(227\) | 10.5661 | − | 9.15555i | 0.701294 | − | 0.607675i | −0.229461 | − | 0.973318i | \(-0.573696\pi\) |
0.930755 | + | 0.365643i | \(0.119151\pi\) | |||||||
\(228\) | 5.25187 | + | 17.8862i | 0.347813 | + | 1.18454i | ||||
\(229\) | −11.7736 | −0.778020 | −0.389010 | − | 0.921234i | \(-0.627183\pi\) | ||||
−0.389010 | + | 0.921234i | \(0.627183\pi\) | |||||||
\(230\) | 24.2512 | − | 14.6092i | 1.59907 | − | 0.963304i | ||||
\(231\) | 21.2385 | 1.39739 | ||||||||
\(232\) | 4.57359 | + | 15.5762i | 0.300271 | + | 1.02263i | ||||
\(233\) | −3.75185 | + | 3.25100i | −0.245792 | + | 0.212980i | −0.769040 | − | 0.639200i | \(-0.779265\pi\) |
0.523248 | + | 0.852180i | \(0.324720\pi\) | |||||||
\(234\) | 1.20680 | − | 0.775566i | 0.0788913 | − | 0.0507004i | ||||
\(235\) | −0.000497369 | − | 0.901501i | −3.24448e−5 | − | 0.0588075i | ||||
\(236\) | −37.5846 | − | 24.1542i | −2.44655 | − | 1.57230i | ||||
\(237\) | 13.8137 | + | 6.30851i | 0.897297 | + | 0.409782i | ||||
\(238\) | 8.39669 | + | 7.27578i | 0.544277 | + | 0.471619i | ||||
\(239\) | −2.02431 | + | 14.0794i | −0.130942 | + | 0.910719i | 0.813389 | + | 0.581721i | \(0.197620\pi\) |
−0.944330 | + | 0.328999i | \(0.893289\pi\) | |||||||
\(240\) | −12.0963 | − | 41.1123i | −0.780813 | − | 2.65379i | ||||
\(241\) | 3.60661 | + | 1.05900i | 0.232322 | + | 0.0682160i | 0.395822 | − | 0.918327i | \(-0.370460\pi\) |
−0.163499 | + | 0.986543i | \(0.552278\pi\) | |||||||
\(242\) | 16.7714 | − | 57.1181i | 1.07811 | − | 3.67169i | ||||
\(243\) | −1.62459 | + | 0.741924i | −0.104217 | + | 0.0475945i | ||||
\(244\) | −0.963432 | + | 6.70082i | −0.0616774 | + | 0.428976i | ||||
\(245\) | 4.04594 | + | 4.66406i | 0.258486 | + | 0.297976i | ||||
\(246\) | −3.97632 | + | 8.70692i | −0.253521 | + | 0.555133i | ||||
\(247\) | 3.59552 | − | 5.59474i | 0.228778 | − | 0.355985i | ||||
\(248\) | −12.3439 | + | 1.77478i | −0.783838 | + | 0.112699i | ||||
\(249\) | 12.3375 | − | 7.92883i | 0.781857 | − | 0.502469i | ||||
\(250\) | 8.36274 | + | 28.3075i | 0.528906 | + | 1.79032i | ||||
\(251\) | −16.9265 | + | 4.97006i | −1.06839 | + | 0.313708i | −0.768225 | − | 0.640180i | \(-0.778860\pi\) |
−0.300165 | + | 0.953887i | \(0.597042\pi\) | |||||||
\(252\) | 1.76062i | 0.110908i | ||||||||
\(253\) | −0.820947 | + | 27.7658i | −0.0516125 | + | 1.74562i | ||||
\(254\) | 22.8983 | 1.43677 | ||||||||
\(255\) | 1.16296 | + | 8.05703i | 0.0728276 | + | 0.504551i | ||||
\(256\) | 4.69358 | + | 5.41668i | 0.293349 | + | 0.338542i | ||||
\(257\) | 3.33079 | + | 5.18281i | 0.207769 | + | 0.323295i | 0.929462 | − | 0.368919i | \(-0.120272\pi\) |
−0.721693 | + | 0.692214i | \(0.756636\pi\) | |||||||
\(258\) | −19.3492 | + | 2.78200i | −1.20463 | + | 0.173199i | ||||
\(259\) | 1.08586 | + | 0.697838i | 0.0674718 | + | 0.0433615i | ||||
\(260\) | −18.9574 | + | 29.5341i | −1.17569 | + | 1.83163i | ||||
\(261\) | 0.233287 | − | 0.269227i | 0.0144401 | − | 0.0166647i | ||||
\(262\) | −40.5859 | − | 5.83537i | −2.50740 | − | 0.360510i | ||||
\(263\) | −18.6921 | + | 8.53638i | −1.15260 | + | 0.526376i | −0.897707 | − | 0.440593i | \(-0.854768\pi\) |
−0.254895 | + | 0.966969i | \(0.582041\pi\) | |||||||
\(264\) | 77.6103 | + | 22.7884i | 4.77658 | + | 1.40253i | ||||
\(265\) | −16.7794 | − | 7.65172i | −1.03075 | − | 0.470041i | ||||
\(266\) | 4.75517 | + | 10.4124i | 0.291558 | + | 0.638424i | ||||
\(267\) | −5.63661 | − | 0.810422i | −0.344955 | − | 0.0495970i | ||||
\(268\) | 25.2855 | + | 21.9100i | 1.54456 | + | 1.33837i | ||||
\(269\) | −6.21519 | + | 13.6094i | −0.378947 | + | 0.829777i | 0.620031 | + | 0.784577i | \(0.287120\pi\) |
−0.998978 | + | 0.0452002i | \(0.985607\pi\) | |||||||
\(270\) | 19.4587 | − | 22.4816i | 1.18422 | − | 1.36819i | ||||
\(271\) | −2.11531 | − | 14.7123i | −0.128496 | − | 0.893710i | −0.947462 | − | 0.319868i | \(-0.896361\pi\) |
0.818966 | − | 0.573842i | \(-0.194548\pi\) | |||||||
\(272\) | 11.8919 | + | 18.5041i | 0.721050 | + | 1.12198i | ||||
\(273\) | 8.75124 | − | 7.58299i | 0.529649 | − | 0.458943i | ||||
\(274\) | −26.5625 | + | 7.79944i | −1.60470 | + | 0.471181i | ||||
\(275\) | −27.7964 | − | 8.12845i | −1.67618 | − | 0.490164i | ||||
\(276\) | −42.4327 | − | 1.25460i | −2.55415 | − | 0.0755181i | ||||
\(277\) | 9.98105i | 0.599703i | 0.953986 | + | 0.299852i | \(0.0969372\pi\) | ||||
−0.953986 | + | 0.299852i | \(0.903063\pi\) | |||||||
\(278\) | −10.0787 | − | 34.3249i | −0.604481 | − | 2.05867i | ||||
\(279\) | 0.179211 | + | 0.206821i | 0.0107291 | + | 0.0123820i | ||||
\(280\) | −15.0134 | − | 32.8269i | −0.897224 | − | 1.96178i | ||||
\(281\) | −3.63986 | − | 25.3158i | −0.217136 | − | 1.51021i | −0.748538 | − | 0.663092i | \(-0.769244\pi\) |
0.531402 | − | 0.847120i | \(-0.321665\pi\) | |||||||
\(282\) | −1.02489 | + | 1.59476i | −0.0610313 | + | 0.0949666i | ||||
\(283\) | −6.36619 | − | 2.90734i | −0.378431 | − | 0.172824i | 0.217113 | − | 0.976147i | \(-0.430336\pi\) |
−0.595544 | + | 0.803323i | \(0.703063\pi\) | |||||||
\(284\) | 45.2224 | − | 52.1895i | 2.68346 | − | 3.09688i | ||||
\(285\) | −2.35845 | + | 8.04856i | −0.139702 | + | 0.476756i | ||||
\(286\) | −20.0603 | − | 43.9259i | −1.18619 | − | 2.59739i | ||||
\(287\) | −1.18077 | + | 4.02134i | −0.0696988 | + | 0.237372i | ||||
\(288\) | −0.616972 | + | 2.10121i | −0.0363554 | + | 0.123815i | ||||
\(289\) | 5.32635 | + | 11.6631i | 0.313315 | + | 0.686064i | ||||
\(290\) | −3.43693 | + | 11.7290i | −0.201824 | + | 0.688753i | ||||
\(291\) | 11.6805 | − | 13.4800i | 0.684721 | − | 0.790210i | ||||
\(292\) | −46.6672 | − | 21.3122i | −2.73099 | − | 1.24720i | ||||
\(293\) | 5.62093 | − | 8.74634i | 0.328378 | − | 0.510966i | −0.637332 | − | 0.770589i | \(-0.719962\pi\) |
0.965710 | + | 0.259623i | \(0.0835983\pi\) | |||||||
\(294\) | −1.84776 | − | 12.8515i | −0.107764 | − | 0.749513i | ||||
\(295\) | −8.36025 | − | 18.2797i | −0.486753 | − | 1.06429i | ||||
\(296\) | 3.21919 | + | 3.71515i | 0.187112 | + | 0.215939i | ||||
\(297\) | 8.21890 | + | 27.9910i | 0.476909 | + | 1.62420i | ||||
\(298\) | 48.3512i | 2.80091i | ||||||||
\(299\) | 9.57520 | + | 11.7339i | 0.553748 | + | 0.678587i | ||||
\(300\) | 12.4222 | − | 42.4794i | 0.717195 | − | 2.45255i | ||||
\(301\) | −8.21257 | + | 2.41143i | −0.473364 | + | 0.138992i | ||||
\(302\) | −34.8890 | + | 30.2315i | −2.00764 | + | 1.73963i | ||||
\(303\) | −18.0405 | − | 28.0715i | −1.03640 | − | 1.61267i | ||||
\(304\) | 3.22511 | + | 22.4312i | 0.184973 | + | 1.28652i | ||||
\(305\) | −1.99330 | + | 2.30296i | −0.114136 | + | 0.131867i | ||||
\(306\) | 0.385733 | − | 0.844637i | 0.0220509 | − | 0.0482847i | ||||
\(307\) | −1.97633 | − | 1.71250i | −0.112795 | − | 0.0977376i | 0.596637 | − | 0.802511i | \(-0.296503\pi\) |
−0.709432 | + | 0.704773i | \(0.751049\pi\) | |||||||
\(308\) | 58.6632 | + | 8.43450i | 3.34265 | + | 0.480600i | ||||
\(309\) | −9.67700 | − | 21.1897i | −0.550505 | − | 1.20544i | ||||
\(310\) | −8.54281 | − | 3.89568i | −0.485199 | − | 0.221260i | ||||
\(311\) | 25.6899 | + | 7.54323i | 1.45674 | + | 0.427737i | 0.911764 | − | 0.410715i | \(-0.134721\pi\) |
0.544975 | + | 0.838452i | \(0.316539\pi\) | |||||||
\(312\) | 40.1153 | − | 18.3200i | 2.27108 | − | 1.03717i | ||||
\(313\) | 16.4725 | + | 2.36838i | 0.931079 | + | 0.133869i | 0.591131 | − | 0.806575i | \(-0.298682\pi\) |
0.339948 | + | 0.940444i | \(0.389591\pi\) | |||||||
\(314\) | 1.96026 | − | 2.26227i | 0.110624 | − | 0.127667i | ||||
\(315\) | −0.427888 | + | 0.666615i | −0.0241088 | + | 0.0375595i | ||||
\(316\) | 35.6497 | + | 22.9107i | 2.00545 | + | 1.28883i | ||||
\(317\) | −25.9491 | + | 3.73091i | −1.45744 | + | 0.209549i | −0.825033 | − | 0.565084i | \(-0.808844\pi\) |
−0.632411 | + | 0.774633i | \(0.717935\pi\) | |||||||
\(318\) | 20.9659 | + | 32.6235i | 1.17571 | + | 1.82944i | ||||
\(319\) | −7.85298 | − | 9.06282i | −0.439682 | − | 0.507421i | ||||
\(320\) | −3.85875 | − | 26.7335i | −0.215711 | − | 1.49445i | ||||
\(321\) | −4.01142 | −0.223896 | ||||||||
\(322\) | −25.9004 | + | 2.94560i | −1.44337 | + | 0.164152i | ||||
\(323\) | − | 4.30474i | − | 0.239522i | ||||||
\(324\) | −45.2384 | + | 13.2832i | −2.51324 | + | 0.737955i | ||||
\(325\) | −14.3555 | + | 6.57510i | −0.796302 | + | 0.364721i | ||||
\(326\) | −17.2118 | + | 11.0614i | −0.953275 | + | 0.612633i | ||||
\(327\) | −10.6402 | + | 1.52983i | −0.588406 | + | 0.0846000i | ||||
\(328\) | −8.62961 | + | 13.4279i | −0.476490 | + | 0.741433i | ||||
\(329\) | −0.344811 | + | 0.755031i | −0.0190101 | + | 0.0416262i | ||||
\(330\) | 39.9055 | + | 46.0021i | 2.19673 | + | 2.53234i | ||||
\(331\) | −1.00431 | + | 6.98511i | −0.0552017 | + | 0.383936i | 0.943427 | + | 0.331581i | \(0.107582\pi\) |
−0.998629 | + | 0.0523554i | \(0.983327\pi\) | |||||||
\(332\) | 37.2263 | − | 17.0007i | 2.04306 | − | 0.933034i | ||||
\(333\) | 0.0303918 | − | 0.103505i | 0.00166546 | − | 0.00567204i | ||||
\(334\) | 24.1428 | + | 7.08895i | 1.32103 | + | 0.387890i | ||||
\(335\) | 4.24890 | + | 14.4409i | 0.232142 | + | 0.788993i | ||||
\(336\) | −5.61544 | + | 39.0562i | −0.306347 | + | 2.13069i | ||||
\(337\) | −12.3520 | − | 10.7031i | −0.672857 | − | 0.583034i | 0.249967 | − | 0.968254i | \(-0.419580\pi\) |
−0.922825 | + | 0.385220i | \(0.874126\pi\) | |||||||
\(338\) | 7.27046 | + | 3.32031i | 0.395461 | + | 0.180601i | ||||
\(339\) | 7.97352 | + | 5.12427i | 0.433062 | + | 0.278312i | ||||
\(340\) | 0.0125328 | + | 22.7163i | 0.000679688 | + | 1.23196i | ||||
\(341\) | 7.74975 | − | 4.98046i | 0.419672 | − | 0.269707i | ||||
\(342\) | 0.722996 | − | 0.626479i | 0.0390951 | − | 0.0338761i | ||||
\(343\) | −5.66189 | − | 19.2826i | −0.305713 | − | 1.04116i | ||||
\(344\) | −32.5979 | −1.75756 | ||||||||
\(345\) | −15.7612 | − | 10.7876i | −0.848555 | − | 0.580783i | ||||
\(346\) | 29.6381 | 1.59335 | ||||||||
\(347\) | 5.89187 | + | 20.0659i | 0.316292 | + | 1.07719i | 0.952212 | + | 0.305437i | \(0.0988026\pi\) |
−0.635920 | + | 0.771755i | \(0.719379\pi\) | |||||||
\(348\) | 13.8501 | − | 12.0012i | 0.742445 | − | 0.643332i | ||||
\(349\) | −20.8831 | + | 13.4207i | −1.11785 | + | 0.718396i | −0.962989 | − | 0.269541i | \(-0.913128\pi\) |
−0.154857 | + | 0.987937i | \(0.549492\pi\) | |||||||
\(350\) | 3.83803 | − | 26.9048i | 0.205151 | − | 1.43812i | ||||
\(351\) | 13.3804 | + | 8.59908i | 0.714194 | + | 0.458985i | ||||
\(352\) | 67.0562 | + | 30.6235i | 3.57411 | + | 1.63224i | ||||
\(353\) | 9.33634 | + | 8.08999i | 0.496923 | + | 0.430587i | 0.866921 | − | 0.498446i | \(-0.166096\pi\) |
−0.369997 | + | 0.929033i | \(0.620641\pi\) | |||||||
\(354\) | −6.01541 | + | 41.8381i | −0.319715 | + | 2.22367i | ||||
\(355\) | 29.8062 | − | 8.76974i | 1.58195 | − | 0.465450i | ||||
\(356\) | −15.2471 | − | 4.47695i | −0.808094 | − | 0.237278i | ||||
\(357\) | 2.11165 | − | 7.19163i | 0.111760 | − | 0.380621i | ||||
\(358\) | −11.8744 | + | 5.42284i | −0.627580 | + | 0.286606i | ||||
\(359\) | −1.64830 | + | 11.4642i | −0.0869940 | + | 0.605057i | 0.898959 | + | 0.438033i | \(0.144325\pi\) |
−0.985953 | + | 0.167024i | \(0.946584\pi\) | |||||||
\(360\) | −2.27886 | + | 1.97684i | −0.120106 | + | 0.104189i | ||||
\(361\) | −6.05049 | + | 13.2487i | −0.318447 | + | 0.697301i | ||||
\(362\) | −11.3015 | + | 17.5855i | −0.593995 | + | 0.924275i | ||||
\(363\) | −39.7506 | + | 5.71527i | −2.08637 | + | 0.299974i | ||||
\(364\) | 27.1833 | − | 17.4697i | 1.42479 | − | 0.915659i | ||||
\(365\) | −12.4898 | − | 19.4110i | −0.653749 | − | 1.01602i | ||||
\(366\) | 6.14532 | − | 1.80443i | 0.321221 | − | 0.0943190i | ||||
\(367\) | − | 8.34483i | − | 0.435596i | −0.975994 | − | 0.217798i | \(-0.930113\pi\) | ||
0.975994 | − | 0.217798i | \(-0.0698875\pi\) | |||||||
\(368\) | −50.8423 | − | 8.85089i | −2.65034 | − | 0.461385i | ||||
\(369\) | 0.350270 | 0.0182343 | ||||||||
\(370\) | 0.528740 | + | 3.66312i | 0.0274879 | + | 0.190437i | ||||
\(371\) | 11.1195 | + | 12.8325i | 0.577293 | + | 0.666232i | ||||
\(372\) | 7.61132 | + | 11.8434i | 0.394629 | + | 0.614054i | ||||
\(373\) | 27.1960 | − | 3.91020i | 1.40816 | − | 0.202462i | 0.604049 | − | 0.796947i | \(-0.293553\pi\) |
0.804107 | + | 0.594485i | \(0.202644\pi\) | |||||||
\(374\) | −26.2951 | − | 16.8989i | −1.35969 | − | 0.873819i | ||||
\(375\) | 15.0273 | − | 13.0648i | 0.776005 | − | 0.674664i | ||||
\(376\) | −2.07015 | + | 2.38908i | −0.106760 | + | 0.123207i | ||||
\(377\) | −6.47156 | − | 0.930470i | −0.333302 | − | 0.0479217i | ||||
\(378\) | −24.9023 | + | 11.3725i | −1.28084 | + | 0.584939i | ||||
\(379\) | 9.48787 | + | 2.78589i | 0.487359 | + | 0.143102i | 0.516175 | − | 0.856483i | \(-0.327355\pi\) |
−0.0288157 | + | 0.999585i | \(0.509174\pi\) | |||||||
\(380\) | −9.71064 | + | 21.2944i | −0.498145 | + | 1.09238i | ||||
\(381\) | −6.41713 | − | 14.0516i | −0.328760 | − | 0.719883i | ||||
\(382\) | 35.2552 | + | 5.06894i | 1.80381 | + | 0.259349i | ||||
\(383\) | −8.50071 | − | 7.36591i | −0.434366 | − | 0.376380i | 0.410055 | − | 0.912061i | \(-0.365510\pi\) |
−0.844421 | + | 0.535681i | \(0.820055\pi\) | |||||||
\(384\) | −4.76182 | + | 10.4269i | −0.243001 | + | 0.532097i | ||||
\(385\) | 20.1616 | + | 17.4506i | 1.02753 | + | 0.889366i | ||||
\(386\) | 2.07630 | + | 14.4410i | 0.105681 | + | 0.735026i | ||||
\(387\) | 0.386740 | + | 0.601780i | 0.0196591 | + | 0.0305902i | ||||
\(388\) | 37.6161 | − | 32.5945i | 1.90967 | − | 1.65473i | ||||
\(389\) | 7.81767 | − | 2.29548i | 0.396372 | − | 0.116385i | −0.0774712 | − | 0.996995i | \(-0.524685\pi\) |
0.473843 | + | 0.880609i | \(0.342866\pi\) | |||||||
\(390\) | 32.8674 | + | 4.70712i | 1.66431 | + | 0.238354i | ||||
\(391\) | 9.32021 | + | 3.03861i | 0.471343 | + | 0.153669i | ||||
\(392\) | − | 21.6511i | − | 1.09355i | ||||||
\(393\) | 7.79310 | + | 26.5409i | 0.393110 | + | 1.33881i | ||||
\(394\) | −33.6162 | − | 38.7951i | −1.69356 | − | 1.95447i | ||||
\(395\) | 7.92985 | + | 17.3386i | 0.398994 | + | 0.872401i | ||||
\(396\) | −0.704909 | − | 4.90275i | −0.0354230 | − | 0.246372i | ||||
\(397\) | 7.26030 | − | 11.2972i | 0.364384 | − | 0.566992i | −0.609854 | − | 0.792514i | \(-0.708772\pi\) |
0.974238 | + | 0.225521i | \(0.0724084\pi\) | |||||||
\(398\) | −25.6770 | − | 11.7263i | −1.28707 | − | 0.587787i | ||||
\(399\) | 5.05694 | − | 5.83602i | 0.253164 | − | 0.292167i | ||||
\(400\) | 22.2970 | − | 48.9665i | 1.11485 | − | 2.44832i | ||||
\(401\) | −5.88901 | − | 12.8951i | −0.294083 | − | 0.643952i | 0.703701 | − | 0.710497i | \(-0.251530\pi\) |
−0.997783 | + | 0.0665450i | \(0.978802\pi\) | |||||||
\(402\) | 8.91791 | − | 30.3716i | 0.444785 | − | 1.51480i | ||||
\(403\) | 1.41503 | − | 4.81914i | 0.0704875 | − | 0.240058i | ||||
\(404\) | −38.6817 | − | 84.7010i | −1.92448 | − | 4.21403i | ||||
\(405\) | −20.3567 | − | 5.96507i | −1.01153 | − | 0.296406i | ||||
\(406\) | 7.36940 | − | 8.50474i | 0.365737 | − | 0.422083i | ||||
\(407\) | −3.30316 | − | 1.50850i | −0.163731 | − | 0.0747737i | ||||
\(408\) | 15.4329 | − | 24.0140i | 0.764041 | − | 1.18887i | ||||
\(409\) | −2.61692 | − | 18.2011i | −0.129398 | − | 0.899985i | −0.946319 | − | 0.323235i | \(-0.895230\pi\) |
0.816921 | − | 0.576750i | \(-0.195679\pi\) | |||||||
\(410\) | −10.9287 | + | 4.99826i | −0.539730 | + | 0.246847i | ||||
\(411\) | 12.2301 | + | 14.1143i | 0.603267 | + | 0.696207i | ||||
\(412\) | −18.3139 | − | 62.3713i | −0.902259 | − | 3.07281i | ||||
\(413\) | 18.5074i | 0.910690i | ||||||||
\(414\) | 0.846048 | + | 2.00758i | 0.0415810 | + | 0.0986671i | ||||
\(415\) | 18.2266 | + | 2.61032i | 0.894708 | + | 0.128136i | ||||
\(416\) | 38.5640 | − | 11.3234i | 1.89075 | − | 0.555175i | ||||
\(417\) | −18.2390 | + | 15.8042i | −0.893167 | + | 0.773933i | ||||
\(418\) | −17.4105 | − | 27.0913i | −0.851575 | − | 1.32508i | ||||
\(419\) | 4.24524 | + | 29.5263i | 0.207394 | + | 1.44245i | 0.781619 | + | 0.623757i | \(0.214394\pi\) |
−0.574225 | + | 0.818698i | \(0.694697\pi\) | |||||||
\(420\) | −26.6687 | + | 30.8116i | −1.30130 | + | 1.50345i | ||||
\(421\) | −14.0057 | + | 30.6682i | −0.682595 | + | 1.49468i | 0.177274 | + | 0.984162i | \(0.443272\pi\) |
−0.859869 | + | 0.510514i | \(0.829455\pi\) | |||||||
\(422\) | −25.0962 | − | 21.7460i | −1.22166 | − | 1.05858i | ||||
\(423\) | 0.0686641 | + | 0.00987241i | 0.00333856 | + | 0.000480013i | ||||
\(424\) | 26.8639 | + | 58.8238i | 1.30463 | + | 2.85674i | ||||
\(425\) | −5.51606 | + | 8.60401i | −0.267568 | + | 0.417356i | ||||
\(426\) | −62.6871 | − | 18.4066i | −3.03720 | − | 0.891803i | ||||
\(427\) | 2.55093 | − | 1.16497i | 0.123448 | − | 0.0563770i | ||||
\(428\) | −11.0800 | − | 1.59306i | −0.535572 | − | 0.0770036i | ||||
\(429\) | −21.3333 | + | 24.6200i | −1.02998 | + | 1.18866i | ||||
\(430\) | −20.6539 | − | 13.2573i | −0.996017 | − | 0.639325i | ||||
\(431\) | −17.0992 | − | 10.9890i | −0.823639 | − | 0.529321i | 0.0596115 | − | 0.998222i | \(-0.481014\pi\) |
−0.883251 | + | 0.468901i | \(0.844650\pi\) | |||||||
\(432\) | −53.6465 | + | 7.71321i | −2.58107 | + | 0.371102i | ||||
\(433\) | −19.5882 | − | 30.4798i | −0.941346 | − | 1.46476i | −0.884587 | − | 0.466376i | \(-0.845559\pi\) |
−0.0567597 | − | 0.998388i | \(-0.518077\pi\) | |||||||
\(434\) | 5.66119 | + | 6.53336i | 0.271746 | + | 0.313611i | ||||
\(435\) | 8.16071 | − | 1.17793i | 0.391276 | − | 0.0564774i | ||||
\(436\) | −29.9970 | −1.43660 | ||||||||
\(437\) | 7.43414 | + | 6.83668i | 0.355623 | + | 0.327043i | ||||
\(438\) | 48.5375i | 2.31921i | ||||||||
\(439\) | 2.29415 | − | 0.673622i | 0.109494 | − | 0.0321502i | −0.226527 | − | 0.974005i | \(-0.572737\pi\) |
0.336020 | + | 0.941855i | \(0.390919\pi\) | |||||||
\(440\) | 54.9507 | + | 85.4013i | 2.61967 | + | 4.07135i | ||||
\(441\) | −0.399694 | + | 0.256868i | −0.0190330 | + | 0.0122318i | ||||
\(442\) | −16.8683 | + | 2.42530i | −0.802345 | + | 0.115360i | ||||
\(443\) | 5.56770 | − | 8.66351i | 0.264529 | − | 0.411616i | −0.683426 | − | 0.730020i | \(-0.739511\pi\) |
0.947955 | + | 0.318405i | \(0.103147\pi\) | |||||||
\(444\) | 2.30535 | − | 5.04800i | 0.109407 | − | 0.239568i | ||||
\(445\) | −4.68490 | − | 5.40064i | −0.222085 | − | 0.256015i | ||||
\(446\) | 1.88306 | − | 13.0970i | 0.0891656 | − | 0.620160i | ||||
\(447\) | 29.6707 | − | 13.5501i | 1.40338 | − | 0.640900i | ||||
\(448\) | −7.00653 | + | 23.8621i | −0.331027 | + | 1.12738i | ||||
\(449\) | 30.8344 | + | 9.05378i | 1.45516 | + | 0.427275i | 0.911245 | − | 0.411864i | \(-0.135122\pi\) |
0.543918 | + | 0.839138i | \(0.316940\pi\) | |||||||
\(450\) | −2.24784 | + | 0.325722i | −0.105964 | + | 0.0153547i | ||||
\(451\) | 1.67802 | − | 11.6709i | 0.0790150 | − | 0.549561i | ||||
\(452\) | 19.9887 | + | 17.3203i | 0.940191 | + | 0.814680i | ||||
\(453\) | 28.3290 | + | 12.9374i | 1.33101 | + | 0.607853i | ||||
\(454\) | −31.0512 | − | 19.9554i | −1.45730 | − | 0.936553i | ||||
\(455\) | 14.5380 | − | 0.00802080i | 0.681553 | − | 0.000376021i | ||||
\(456\) | 24.7411 | − | 15.9001i | 1.15861 | − | 0.744592i | ||||
\(457\) | 10.1182 | − | 8.76749i | 0.473310 | − | 0.410126i | −0.385271 | − | 0.922804i | \(-0.625892\pi\) |
0.858581 | + | 0.512678i | \(0.171346\pi\) | |||||||
\(458\) | 8.75712 | + | 29.8240i | 0.409194 | + | 1.39359i | ||||
\(459\) | 10.2953 | 0.480541 | ||||||||
\(460\) | −39.2501 | − | 36.0557i | −1.83005 | − | 1.68111i | ||||
\(461\) | −30.5197 | −1.42144 | −0.710721 | − | 0.703474i | \(-0.751631\pi\) | ||||
−0.710721 | + | 0.703474i | \(0.751631\pi\) | |||||||
\(462\) | −15.7971 | − | 53.8000i | −0.734948 | − | 2.50300i | ||||
\(463\) | −15.8135 | + | 13.7024i | −0.734914 | + | 0.636807i | −0.939700 | − | 0.342000i | \(-0.888896\pi\) |
0.204786 | + | 0.978807i | \(0.434350\pi\) | |||||||
\(464\) | 18.7422 | − | 12.0449i | 0.870086 | − | 0.559170i | ||||
\(465\) | 0.00349457 | + | 6.33404i | 0.000162057 | + | 0.293734i | ||||
\(466\) | 11.0258 | + | 7.08586i | 0.510761 | + | 0.328246i | ||||
\(467\) | 29.8259 | + | 13.6210i | 1.38018 | + | 0.630307i | 0.960733 | − | 0.277474i | \(-0.0894971\pi\) |
0.419446 | + | 0.907780i | \(0.362224\pi\) | |||||||
\(468\) | −2.04093 | − | 1.76847i | −0.0943419 | − | 0.0817477i | ||||
\(469\) | 1.97246 | − | 13.7187i | 0.0910795 | − | 0.633472i | ||||
\(470\) | −2.28325 | + | 0.671792i | −0.105319 | + | 0.0309874i | ||||
\(471\) | −1.93759 | − | 0.568929i | −0.0892796 | − | 0.0262148i | ||||
\(472\) | −19.8580 | + | 67.6302i | −0.914039 | + | 3.11293i | ||||
\(473\) | 21.9039 | − | 10.0032i | 1.00714 | − | 0.459946i | ||||
\(474\) | 5.70572 | − | 39.6842i | 0.262073 | − | 1.82275i | ||||
\(475\) | −8.85195 | + | 5.70261i | −0.406155 | + | 0.261654i | ||||
\(476\) | 8.68864 | − | 19.0255i | 0.398243 | − | 0.872031i | ||||
\(477\) | 0.767215 | − | 1.19381i | 0.0351284 | − | 0.0546608i | ||||
\(478\) | 37.1706 | − | 5.34433i | 1.70014 | − | 0.244444i | ||||
\(479\) | −27.9627 | + | 17.9705i | −1.27765 | + | 0.821093i | −0.990596 | − | 0.136822i | \(-0.956311\pi\) |
−0.287051 | + | 0.957915i | \(0.592675\pi\) | |||||||
\(480\) | −42.6252 | + | 27.4268i | −1.94556 | + | 1.25185i | ||||
\(481\) | −1.89964 | + | 0.557786i | −0.0866163 | + | 0.0254328i | ||||
\(482\) | − | 9.92371i | − | 0.452012i | ||||||
\(483\) | 9.06603 | + | 15.0683i | 0.412519 | + | 0.685632i | ||||
\(484\) | −112.065 | −5.09388 | ||||||||
\(485\) | 22.1640 | − | 3.19918i | 1.00641 | − | 0.145267i | ||||
\(486\) | 3.08775 | + | 3.56345i | 0.140063 | + | 0.161642i | ||||
\(487\) | 11.4573 | + | 17.8279i | 0.519180 | + | 0.807860i | 0.997525 | − | 0.0703122i | \(-0.0223996\pi\) |
−0.478345 | + | 0.878172i | \(0.658763\pi\) | |||||||
\(488\) | 10.5717 | − | 1.51998i | 0.478557 | − | 0.0688060i | ||||
\(489\) | 11.6113 | + | 7.46215i | 0.525083 | + | 0.337450i | ||||
\(490\) | 8.80534 | − | 13.7180i | 0.397785 | − | 0.619716i | ||||
\(491\) | −10.2856 | + | 11.8702i | −0.464182 | + | 0.535695i | −0.938784 | − | 0.344506i | \(-0.888047\pi\) |
0.474602 | + | 0.880200i | \(0.342592\pi\) | |||||||
\(492\) | 17.8359 | + | 2.56441i | 0.804104 | + | 0.115613i | ||||
\(493\) | −3.84957 | + | 1.75804i | −0.173376 | + | 0.0791781i | ||||
\(494\) | −16.8465 | − | 4.94659i | −0.757962 | − | 0.222558i | ||||
\(495\) | 0.924633 | − | 2.02762i | 0.0415592 | − | 0.0911349i | ||||
\(496\) | 7.10970 | + | 15.5681i | 0.319235 | + | 0.699027i | ||||
\(497\) | −28.3155 | − | 4.07116i | −1.27012 | − | 0.182616i | ||||
\(498\) | −29.2613 | − | 25.3551i | −1.31123 | − | 1.13619i | ||||
\(499\) | 17.0012 | − | 37.2275i | 0.761080 | − | 1.66653i | 0.0157140 | − | 0.999877i | \(-0.494998\pi\) |
0.745366 | − | 0.666656i | \(-0.232275\pi\) | |||||||
\(500\) | 46.6954 | − | 30.1187i | 2.08828 | − | 1.34695i | ||||
\(501\) | −2.41574 | − | 16.8018i | −0.107927 | − | 0.750651i | ||||
\(502\) | 25.1797 | + | 39.1803i | 1.12382 | + | 1.74870i | ||||
\(503\) | −19.8964 | + | 17.2403i | −0.887135 | + | 0.768707i | −0.973770 | − | 0.227533i | \(-0.926934\pi\) |
0.0866353 | + | 0.996240i | \(0.472389\pi\) | |||||||
\(504\) | 2.66515 | − | 0.782559i | 0.118715 | − | 0.0348579i | ||||
\(505\) | 5.93927 | − | 41.4709i | 0.264294 | − | 1.84543i | ||||
\(506\) | 70.9450 | − | 18.5725i | 3.15389 | − | 0.825648i | ||||
\(507\) | − | 5.39201i | − | 0.239468i | ||||||
\(508\) | −12.1445 | − | 41.3604i | −0.538826 | − | 1.83507i | ||||
\(509\) | 4.83472 | + | 5.57956i | 0.214295 | + | 0.247310i | 0.852712 | − | 0.522381i | \(-0.174956\pi\) |
−0.638417 | + | 0.769690i | \(0.720411\pi\) | |||||||
\(510\) | 19.5445 | − | 8.93871i | 0.865446 | − | 0.395813i | ||||
\(511\) | 3.02454 | + | 21.0361i | 0.133798 | + | 0.930583i | ||||
\(512\) | 17.1893 | − | 26.7471i | 0.759667 | − | 1.18206i | ||||
\(513\) | 9.64843 | + | 4.40629i | 0.425989 | + | 0.194542i | ||||
\(514\) | 10.6513 | − | 12.2923i | 0.469809 | − | 0.542189i | ||||
\(515\) | 8.22418 | − | 28.0663i | 0.362401 | − | 1.23675i | ||||
\(516\) | 15.2872 | + | 33.4743i | 0.672981 | + | 1.47362i | ||||
\(517\) | 0.657892 | − | 2.24057i | 0.0289340 | − | 0.0985403i | ||||
\(518\) | 0.960060 | − | 3.26967i | 0.0421826 | − | 0.143661i | ||||
\(519\) | −8.30590 | − | 18.1874i | −0.364589 | − | 0.798338i | ||||
\(520\) | 53.1337 | + | 15.5696i | 2.33007 | + | 0.682774i | ||||
\(521\) | 19.9029 | − | 22.9691i | 0.871960 | − | 1.00630i | −0.127935 | − | 0.991783i | \(-0.540835\pi\) |
0.999895 | − | 0.0145129i | \(-0.00461977\pi\) | |||||||
\(522\) | −0.855506 | − | 0.390696i | −0.0374445 | − | 0.0171003i | ||||
\(523\) | −3.16834 | + | 4.93004i | −0.138542 | + | 0.215576i | −0.903591 | − | 0.428397i | \(-0.859079\pi\) |
0.765049 | + | 0.643972i | \(0.222715\pi\) | |||||||
\(524\) | 10.9852 | + | 76.4037i | 0.479890 | + | 3.33771i | ||||
\(525\) | −17.5857 | + | 5.18471i | −0.767503 | + | 0.226279i | ||||
\(526\) | 35.5268 | + | 41.0001i | 1.54904 | + | 1.78769i | ||||
\(527\) | −0.915922 | − | 3.11934i | −0.0398982 | − | 0.135881i | ||||
\(528\) | − | 111.007i | − | 4.83097i | ||||||
\(529\) | −20.0497 | + | 11.2698i | −0.871726 | + | 0.489993i | ||||
\(530\) | −6.90237 | + | 48.1958i | −0.299820 | + | 2.09349i | ||||
\(531\) | 1.48409 | − | 0.435769i | 0.0644042 | − | 0.0189108i | ||||
\(532\) | 16.2855 | − | 14.1115i | 0.706066 | − | 0.611810i | ||||
\(533\) | −3.47555 | − | 5.40806i | −0.150543 | − | 0.234249i | ||||
\(534\) | 2.13957 | + | 14.8811i | 0.0925883 | + | 0.643966i | ||||
\(535\) | −3.80801 | − | 3.29598i | −0.164634 | − | 0.142498i | ||||
\(536\) | 21.9276 | − | 48.0148i | 0.947130 | − | 2.07392i | ||||
\(537\) | 6.65546 | + | 5.76699i | 0.287204 | + | 0.248864i | ||||
\(538\) | 39.0971 | + | 5.62132i | 1.68560 | + | 0.242352i | ||||
\(539\) | 6.64396 | + | 14.5483i | 0.286176 | + | 0.626638i | ||||
\(540\) | −50.9279 | − | 23.2240i | −2.19159 | − | 0.999404i | ||||
\(541\) | −4.01909 | − | 1.18011i | −0.172794 | − | 0.0507369i | 0.194191 | − | 0.980964i | \(-0.437792\pi\) |
−0.366985 | + | 0.930227i | \(0.619610\pi\) | |||||||
\(542\) | −35.6949 | + | 16.3013i | −1.53323 | + | 0.700201i | ||||
\(543\) | 13.9586 | + | 2.00694i | 0.599019 | + | 0.0861259i | ||||
\(544\) | 17.0366 | − | 19.6613i | 0.730438 | − | 0.842970i | ||||
\(545\) | −11.3577 | − | 7.29027i | −0.486509 | − | 0.312281i | ||||
\(546\) | −25.7178 | − | 16.5278i | −1.10062 | − | 0.707327i | ||||
\(547\) | 19.7158 | − | 2.83470i | 0.842986 | − | 0.121203i | 0.292726 | − | 0.956196i | \(-0.405438\pi\) |
0.550260 | + | 0.834993i | \(0.314529\pi\) | |||||||
\(548\) | 28.1757 | + | 43.8422i | 1.20361 | + | 1.87285i | ||||
\(549\) | −0.153482 | − | 0.177127i | −0.00655043 | − | 0.00755960i | ||||
\(550\) | 0.0843654 | + | 76.4578i | 0.00359735 | + | 3.26017i | ||||
\(551\) | −4.36014 | −0.185748 | ||||||||
\(552\) | 16.9613 | + | 64.7905i | 0.721922 | + | 2.75767i | ||||
\(553\) | − | 17.5546i | − | 0.746498i | ||||||
\(554\) | 25.2833 | − | 7.42385i | 1.07419 | − | 0.315409i | ||||
\(555\) | 2.09970 | − | 1.35103i | 0.0891272 | − | 0.0573481i | ||||
\(556\) | −56.6544 | + | 36.4096i | −2.40268 | + | 1.54411i | ||||
\(557\) | 44.6156 | − | 6.41476i | 1.89042 | − | 0.271802i | 0.902969 | − | 0.429705i | \(-0.141383\pi\) |
0.987455 | + | 0.157903i | \(0.0504734\pi\) | |||||||
\(558\) | 0.390608 | − | 0.607798i | 0.0165358 | − | 0.0257301i | ||||
\(559\) | 5.45386 | − | 11.9423i | 0.230674 | − | 0.505105i | ||||
\(560\) | −37.4212 | + | 32.4618i | −1.58133 | + | 1.37176i | ||||
\(561\) | −3.00092 | + | 20.8718i | −0.126699 | + | 0.881209i | ||||
\(562\) | −61.4209 | + | 28.0500i | −2.59088 | + | 1.18322i | ||||
\(563\) | 5.30049 | − | 18.0518i | 0.223389 | − | 0.760794i | −0.769172 | − | 0.639042i | \(-0.779331\pi\) |
0.992561 | − | 0.121751i | \(-0.0388510\pi\) | |||||||
\(564\) | 3.42412 | + | 1.00541i | 0.144182 | + | 0.0423355i | ||||
\(565\) | 3.35884 | + | 11.4159i | 0.141307 | + | 0.480269i | ||||
\(566\) | −2.62954 | + | 18.2889i | −0.110528 | + | 0.768739i | ||||
\(567\) | 14.7607 | + | 12.7902i | 0.619889 | + | 0.537137i | ||||
\(568\) | −99.1028 | − | 45.2587i | −4.15826 | − | 1.89901i | ||||
\(569\) | 9.05830 | + | 5.82142i | 0.379744 | + | 0.244047i | 0.716562 | − | 0.697523i | \(-0.245715\pi\) |
−0.336818 | + | 0.941570i | \(0.609351\pi\) | |||||||
\(570\) | 22.1423 | − | 0.0122162i | 0.927438 | − | 0.000511679i | ||||
\(571\) | −12.9103 | + | 8.29697i | −0.540281 | + | 0.347217i | −0.782149 | − | 0.623092i | \(-0.785876\pi\) |
0.241868 | + | 0.970309i | \(0.422240\pi\) | |||||||
\(572\) | −68.7024 | + | 59.5310i | −2.87259 | + | 2.48911i | ||||
\(573\) | −6.76953 | − | 23.0549i | −0.282801 | − | 0.963133i | ||||
\(574\) | 11.0648 | 0.461838 | ||||||||
\(575\) | −6.09838 | − | 23.1907i | −0.254320 | − | 0.967120i | ||||
\(576\) | 2.07845 | 0.0866021 | ||||||||
\(577\) | 4.37078 | + | 14.8855i | 0.181958 | + | 0.619692i | 0.999066 | + | 0.0432076i | \(0.0137577\pi\) |
−0.817108 | + | 0.576484i | \(0.804424\pi\) | |||||||
\(578\) | 25.5824 | − | 22.1673i | 1.06409 | − | 0.922038i | ||||
\(579\) | 8.27983 | − | 5.32112i | 0.344098 | − | 0.221138i | ||||
\(580\) | 23.0086 | − | 0.0126941i | 0.955379 | − | 0.000527094i | ||||
\(581\) | −14.2618 | − | 9.16549i | −0.591678 | − | 0.380249i | ||||
\(582\) | −42.8344 | − | 19.5618i | −1.77554 | − | 0.810864i | ||||
\(583\) | −36.1019 | − | 31.2825i | −1.49519 | − | 1.29559i | ||||
\(584\) | −11.5189 | + | 80.1158i | −0.476656 | + | 3.31522i | ||||
\(585\) | −0.342950 | − | 1.16560i | −0.0141793 | − | 0.0481917i | ||||
\(586\) | −26.3364 | − | 7.73308i | −1.08795 | − | 0.319450i | ||||
\(587\) | −12.5744 | + | 42.8243i | −0.518999 | + | 1.76755i | 0.114091 | + | 0.993470i | \(0.463604\pi\) |
−0.633090 | + | 0.774078i | \(0.718214\pi\) | |||||||
\(588\) | −22.2332 | + | 10.1535i | −0.916880 | + | 0.418725i | ||||
\(589\) | 0.476678 | − | 3.31537i | 0.0196412 | − | 0.136607i | ||||
\(590\) | −40.0866 | + | 34.7740i | −1.65034 | + | 1.43162i | ||||
\(591\) | −14.3859 | + | 31.5007i | −0.591756 | + | 1.29576i | ||||
\(592\) | 3.64738 | − | 5.67543i | 0.149906 | − | 0.233259i | ||||
\(593\) | 8.66953 | − | 1.24649i | 0.356015 | − | 0.0511872i | 0.0380129 | − | 0.999277i | \(-0.487897\pi\) |
0.318002 | + | 0.948090i | \(0.396988\pi\) | |||||||
\(594\) | 64.7917 | − | 41.6391i | 2.65844 | − | 1.70847i | ||||
\(595\) | 7.91357 | − | 5.09191i | 0.324425 | − | 0.208748i | ||||
\(596\) | 87.3349 | − | 25.6438i | 3.57738 | − | 1.05041i | ||||
\(597\) | 19.0430i | 0.779376i | ||||||||
\(598\) | 22.6014 | − | 32.9828i | 0.924242 | − | 1.34877i | ||||
\(599\) | 26.2217 | 1.07139 | 0.535694 | − | 0.844412i | \(-0.320050\pi\) | ||||
0.535694 | + | 0.844412i | \(0.320050\pi\) | |||||||
\(600\) | −69.8251 | + | 0.0770467i | −2.85060 | + | 0.00314542i | ||||
\(601\) | −12.2537 | − | 14.1415i | −0.499838 | − | 0.576843i | 0.448630 | − | 0.893718i | \(-0.351912\pi\) |
−0.948468 | + | 0.316874i | \(0.897367\pi\) | |||||||
\(602\) | 12.2169 | + | 19.0099i | 0.497925 | + | 0.774786i | ||||
\(603\) | −1.14654 | + | 0.164847i | −0.0466905 | + | 0.00671309i | ||||
\(604\) | 73.1100 | + | 46.9849i | 2.97480 | + | 1.91179i | ||||
\(605\) | −42.4308 | − | 27.2356i | −1.72506 | − | 1.10728i | ||||
\(606\) | −57.6904 | + | 66.5783i | −2.34351 | + | 2.70456i | ||||
\(607\) | −3.44867 | − | 0.495843i | −0.139977 | − | 0.0201257i | 0.0719701 | − | 0.997407i | \(-0.477071\pi\) |
−0.211947 | + | 0.977281i | \(0.567980\pi\) | |||||||
\(608\) | 24.3811 | − | 11.1345i | 0.988784 | − | 0.451563i | ||||
\(609\) | −7.28417 | − | 2.13883i | −0.295170 | − | 0.0866696i | ||||
\(610\) | 7.31631 | + | 3.33637i | 0.296229 | + | 0.135086i | ||||
\(611\) | −0.528891 | − | 1.15811i | −0.0213966 | − | 0.0468521i | ||||
\(612\) | −1.73022 | − | 0.248767i | −0.0699398 | − | 0.0100558i | ||||
\(613\) | −12.2285 | − | 10.5961i | −0.493905 | − | 0.427971i | 0.371960 | − | 0.928249i | \(-0.378686\pi\) |
−0.865865 | + | 0.500278i | \(0.833231\pi\) | |||||||
\(614\) | −2.86801 | + | 6.28006i | −0.115743 | + | 0.253443i | ||||
\(615\) | 6.12990 | + | 5.30567i | 0.247181 | + | 0.213945i | ||||
\(616\) | −13.3068 | − | 92.5510i | −0.536147 | − | 3.72899i | ||||
\(617\) | −18.1414 | − | 28.2285i | −0.730344 | − | 1.13644i | −0.985523 | − | 0.169544i | \(-0.945771\pi\) |
0.255178 | − | 0.966894i | \(-0.417866\pi\) | |||||||
\(618\) | −46.4785 | + | 40.2739i | −1.86964 | + | 1.62005i | ||||
\(619\) | 7.07680 | − | 2.07794i | 0.284441 | − | 0.0835193i | −0.136400 | − | 0.990654i | \(-0.543553\pi\) |
0.420841 | + | 0.907135i | \(0.361735\pi\) | |||||||
\(620\) | −2.50579 | + | 17.4967i | −0.100635 | + | 0.702685i | ||||
\(621\) | −16.3507 | + | 17.7796i | −0.656130 | + | 0.713469i | ||||
\(622\) | − | 70.6865i | − | 2.83427i | ||||||
\(623\) | 1.85458 | + | 6.31611i | 0.0743020 | + | 0.253049i | ||||
\(624\) | −39.6339 | − | 45.7400i | −1.58663 | − | 1.83106i | ||||
\(625\) | 24.9999 | − | 0.0551711i | 0.999998 | − | 0.00220685i | ||||
\(626\) | −6.25270 | − | 43.4885i | −0.249908 | − | 1.73815i | ||||
\(627\) | −11.7454 | + | 18.2761i | −0.469064 | + | 0.729878i | ||||
\(628\) | −5.12591 | − | 2.34092i | −0.204546 | − | 0.0934130i | ||||
\(629\) | −0.839215 | + | 0.968506i | −0.0334617 | + | 0.0386169i | ||||
\(630\) | 2.00688 | + | 0.588072i | 0.0799562 | + | 0.0234293i | ||||
\(631\) | 7.29135 | + | 15.9658i | 0.290264 | + | 0.635590i | 0.997445 | − | 0.0714433i | \(-0.0227605\pi\) |
−0.707181 | + | 0.707033i | \(0.750033\pi\) | |||||||
\(632\) | 18.8357 | − | 64.1484i | 0.749243 | − | 2.55169i | ||||
\(633\) | −6.31134 | + | 21.4944i | −0.250853 | + | 0.854328i | ||||
\(634\) | 28.7517 | + | 62.9574i | 1.14187 | + | 2.50036i | ||||
\(635\) | 5.45372 | − | 18.6117i | 0.216424 | − | 0.738581i | ||||
\(636\) | 47.8070 | − | 55.1723i | 1.89567 | − | 2.18772i | ||||
\(637\) | 7.93191 | + | 3.62238i | 0.314274 | + | 0.143524i | ||||
\(638\) | −17.1163 | + | 26.6335i | −0.677642 | + | 1.05443i | ||||
\(639\) | 0.340245 | + | 2.36645i | 0.0134599 | + | 0.0936155i | ||||
\(640\) | −13.0876 | + | 5.98565i | −0.517334 | + | 0.236604i | ||||
\(641\) | −21.4742 | − | 24.7826i | −0.848181 | − | 0.978853i | 0.151773 | − | 0.988415i | \(-0.451502\pi\) |
−0.999954 | + | 0.00956193i | \(0.996956\pi\) | |||||||
\(642\) | 2.98367 | + | 10.1615i | 0.117756 | + | 0.401041i | ||||
\(643\) | 17.2988i | 0.682198i | 0.940027 | + | 0.341099i | \(0.110799\pi\) | ||||
−0.940027 | + | 0.341099i | \(0.889201\pi\) | |||||||
\(644\) | 19.0573 | + | 45.2208i | 0.750962 | + | 1.78195i | ||||
\(645\) | −2.34723 | + | 16.3895i | −0.0924221 | + | 0.645337i | ||||
\(646\) | −10.9045 | + | 3.20184i | −0.429031 | + | 0.125975i | ||||
\(647\) | 27.7286 | − | 24.0270i | 1.09012 | − | 0.944599i | 0.0914371 | − | 0.995811i | \(-0.470854\pi\) |
0.998688 | + | 0.0512122i | \(0.0163085\pi\) | |||||||
\(648\) | 40.2151 | + | 62.5760i | 1.57980 | + | 2.45822i | ||||
\(649\) | −7.40993 | − | 51.5372i | −0.290865 | − | 2.02301i | ||||
\(650\) | 27.3332 | + | 31.4739i | 1.07210 | + | 1.23451i | ||||
\(651\) | 2.42268 | − | 5.30493i | 0.0949523 | − | 0.207916i | ||||
\(652\) | 29.1083 | + | 25.2225i | 1.13997 | + | 0.987790i | ||||
\(653\) | −31.5106 | − | 4.53054i | −1.23311 | − | 0.177294i | −0.505219 | − | 0.862991i | \(-0.668588\pi\) |
−0.727887 | + | 0.685697i | \(0.759497\pi\) | |||||||
\(654\) | 11.7894 | + | 25.8152i | 0.461003 | + | 1.00945i | ||||
\(655\) | −14.4093 | + | 31.5982i | −0.563020 | + | 1.23464i | ||||
\(656\) | 21.0183 | + | 6.17153i | 0.820627 | + | 0.240958i | ||||
\(657\) | 1.61565 | − | 0.737844i | 0.0630326 | − | 0.0287860i | ||||
\(658\) | 2.16906 | + | 0.311864i | 0.0845588 | + | 0.0121577i | ||||
\(659\) | 20.1626 | − | 23.2689i | 0.785424 | − | 0.906428i | −0.212064 | − | 0.977256i | \(-0.568019\pi\) |
0.997489 | + | 0.0708277i | \(0.0225640\pi\) | |||||||
\(660\) | 61.9274 | − | 96.4779i | 2.41052 | − | 3.75540i | ||||
\(661\) | −28.3663 | − | 18.2299i | −1.10332 | − | 0.709061i | −0.143493 | − | 0.989651i | \(-0.545834\pi\) |
−0.959828 | + | 0.280590i | \(0.909470\pi\) | |||||||
\(662\) | 18.4412 | − | 2.65144i | 0.716737 | − | 0.103051i | ||||
\(663\) | 6.21554 | + | 9.67157i | 0.241392 | + | 0.375613i | ||||
\(664\) | −42.2813 | − | 48.7952i | −1.64083 | − | 1.89362i | ||||
\(665\) | 9.59567 | − | 1.38505i | 0.372104 | − | 0.0537101i | ||||
\(666\) | −0.284797 | −0.0110357 | ||||||||
\(667\) | 3.07771 | − | 9.44015i | 0.119169 | − | 0.365524i | ||||
\(668\) | − | 47.3679i | − | 1.83272i | ||||||
\(669\) | −8.56468 | + | 2.51482i | −0.331130 | + | 0.0972285i | ||||
\(670\) | 33.4205 | − | 21.5041i | 1.29115 | − | 0.830776i | ||||
\(671\) | −6.63710 | + | 4.26541i | −0.256223 | + | 0.164664i | ||||
\(672\) | 46.1937 | − | 6.64165i | 1.78196 | − | 0.256207i | ||||
\(673\) | −1.52933 | + | 2.37968i | −0.0589511 | + | 0.0917298i | −0.869478 | − | 0.493972i | \(-0.835545\pi\) |
0.810527 | + | 0.585702i | \(0.199181\pi\) | |||||||
\(674\) | −17.9250 | + | 39.2502i | −0.690444 | + | 1.51186i | ||||
\(675\) | −13.6384 | − | 21.1704i | −0.524943 | − | 0.814849i | ||||
\(676\) | 2.14134 | − | 14.8933i | 0.0823592 | − | 0.572821i | ||||
\(677\) | −1.60190 | + | 0.731565i | −0.0615662 | + | 0.0281163i | −0.445960 | − | 0.895053i | \(-0.647138\pi\) |
0.384394 | + | 0.923169i | \(0.374410\pi\) | |||||||
\(678\) | 7.04979 | − | 24.0094i | 0.270745 | − | 0.922074i | ||||
\(679\) | −19.7833 | − | 5.80891i | −0.759215 | − | 0.222926i | ||||
\(680\) | 34.3814 | − | 10.1159i | 1.31847 | − | 0.387927i | ||||
\(681\) | −3.54370 | + | 24.6470i | −0.135795 | + | 0.944473i | ||||
\(682\) | −18.3804 | − | 15.9267i | −0.703821 | − | 0.609865i | ||||
\(683\) | 11.7951 | + | 5.38662i | 0.451326 | + | 0.206113i | 0.628092 | − | 0.778139i | \(-0.283836\pi\) |
−0.176766 | + | 0.984253i | \(0.556564\pi\) | |||||||
\(684\) | −1.51504 | − | 0.973657i | −0.0579290 | − | 0.0372287i | ||||
\(685\) | 0.0129362 | + | 23.4474i | 0.000494268 | + | 0.895881i | ||||
\(686\) | −44.6341 | + | 28.6846i | −1.70414 | + | 1.09518i | ||||
\(687\) | 15.8474 | − | 13.7318i | 0.604615 | − | 0.523902i | ||||
\(688\) | 12.6038 | + | 42.9245i | 0.480515 | + | 1.63648i | ||||
\(689\) | −26.0447 | −0.992224 | ||||||||
\(690\) | −15.6032 | + | 47.9490i | −0.594005 | + | 1.82539i | ||||
\(691\) | −9.31109 | −0.354210 | −0.177105 | − | 0.984192i | \(-0.556673\pi\) | ||||
−0.177105 | + | 0.984192i | \(0.556673\pi\) | |||||||
\(692\) | −15.7190 | − | 53.5341i | −0.597548 | − | 2.03506i | ||||
\(693\) | −1.55068 | + | 1.34367i | −0.0589056 | + | 0.0510420i | ||||
\(694\) | 46.4471 | − | 29.8498i | 1.76311 | − | 1.13308i | ||||
\(695\) | −30.2996 | + | 0.0167166i | −1.14933 | + | 0.000634098i | ||||
\(696\) | −24.3231 | − | 15.6315i | −0.921963 | − | 0.592510i | ||||
\(697\) | −3.78507 | − | 1.72858i | −0.143370 | − | 0.0654748i | ||||
\(698\) | 49.5292 | + | 42.9173i | 1.87471 | + | 1.62444i | ||||
\(699\) | 1.25831 | − | 8.75176i | 0.0475938 | − | 0.331022i | ||||
\(700\) | −50.6327 | + | 7.33691i | −1.91373 | + | 0.277309i | ||||
\(701\) | 24.1132 | + | 7.08026i | 0.910742 | + | 0.267418i | 0.703353 | − | 0.710841i | \(-0.251685\pi\) |
0.207389 | + | 0.978259i | \(0.433504\pi\) | |||||||
\(702\) | 11.8303 | − | 40.2903i | 0.446506 | − | 1.52066i | ||||
\(703\) | −1.20100 | + | 0.548479i | −0.0452967 | + | 0.0206863i | ||||
\(704\) | 9.95713 | − | 69.2534i | 0.375274 | − | 2.61009i | ||||
\(705\) | 1.05211 | + | 1.21285i | 0.0396249 | + | 0.0456786i | ||||
\(706\) | 13.5487 | − | 29.6675i | 0.509911 | − | 1.11655i | ||||
\(707\) | −20.8542 | + | 32.4498i | −0.784304 | + | 1.22040i | ||||
\(708\) | 78.7610 | − | 11.3241i | 2.96002 | − | 0.425586i | ||||
\(709\) | 24.3663 | − | 15.6593i | 0.915095 | − | 0.588096i | 0.00386426 | − | 0.999993i | \(-0.498770\pi\) |
0.911230 | + | 0.411897i | \(0.135134\pi\) | |||||||
\(710\) | −44.3846 | − | 68.9800i | −1.66572 | − | 2.58878i | ||||
\(711\) | −1.40769 | + | 0.413335i | −0.0527925 | + | 0.0155013i | ||||
\(712\) | 25.0703i | 0.939551i | ||||||||
\(713\) | 6.84165 | + | 3.37230i | 0.256222 | + | 0.126293i | ||||
\(714\) | −19.7880 | −0.740546 | ||||||||
\(715\) | −40.4805 | + | 5.84302i | −1.51389 | + | 0.218516i | ||||
\(716\) | 16.0929 | + | 18.5721i | 0.601418 | + | 0.694074i | ||||
\(717\) | −13.6964 | − | 21.3120i | −0.511502 | − | 0.795912i | ||||
\(718\) | 30.2663 | − | 4.35164i | 1.12953 | − | 0.162402i | ||||
\(719\) | −24.1127 | − | 15.4963i | −0.899253 | − | 0.577915i | 0.00731583 | − | 0.999973i | \(-0.497671\pi\) |
−0.906569 | + | 0.422059i | \(0.861308\pi\) | |||||||
\(720\) | 3.48419 | + | 2.23644i | 0.129848 | + | 0.0833471i | ||||
\(721\) | −17.6341 | + | 20.3509i | −0.656730 | + | 0.757907i | ||||
\(722\) | 38.0611 | + | 5.47236i | 1.41649 | + | 0.203660i | ||||
\(723\) | −6.08968 | + | 2.78107i | −0.226478 | + | 0.103429i | ||||
\(724\) | 37.7580 | + | 11.0868i | 1.40327 | + | 0.412036i | ||||
\(725\) | 8.71473 | + | 5.58704i | 0.323657 | + | 0.207497i | ||||
\(726\) | 44.0438 | + | 96.4425i | 1.63462 | + | 3.57932i | ||||
\(727\) | −26.1416 | − | 3.75859i | −0.969538 | − | 0.139398i | −0.360690 | − | 0.932686i | \(-0.617459\pi\) |
−0.608848 | + | 0.793287i | \(0.708368\pi\) | |||||||
\(728\) | −38.5273 | − | 33.3841i | −1.42792 | − | 1.23730i | ||||
\(729\) | −10.5012 | + | 22.9945i | −0.388934 | + | 0.851647i | ||||
\(730\) | −39.8808 | + | 46.0763i | −1.47606 | + | 1.70536i | ||||
\(731\) | −1.20939 | − | 8.41149i | −0.0447309 | − | 0.311110i | ||||
\(732\) | −6.51855 | − | 10.1431i | −0.240932 | − | 0.374898i | ||||
\(733\) | −40.2210 | + | 34.8517i | −1.48560 | + | 1.28728i | −0.622080 | + | 0.782954i | \(0.713712\pi\) |
−0.863516 | + | 0.504322i | \(0.831743\pi\) | |||||||
\(734\) | −21.1385 | + | 6.20684i | −0.780238 | + | 0.229099i | ||||
\(735\) | −10.8857 | − | 1.55900i | −0.401525 | − | 0.0575045i | ||||
\(736\) | 6.89728 | + | 60.6472i | 0.254237 | + | 2.23548i | ||||
\(737\) | 38.9920i | 1.43629i | ||||||||
\(738\) | −0.260529 | − | 0.887281i | −0.00959021 | − | 0.0326612i | ||||
\(739\) | 16.3546 | + | 18.8742i | 0.601614 | + | 0.694300i | 0.972108 | − | 0.234535i | \(-0.0753569\pi\) |
−0.370493 | + | 0.928835i | \(0.620811\pi\) | |||||||
\(740\) | 6.33613 | − | 2.89784i | 0.232921 | − | 0.106527i | ||||
\(741\) | 1.68568 | + | 11.7241i | 0.0619249 | + | 0.430697i | ||||
\(742\) | 24.2359 | − | 37.7118i | 0.889728 | − | 1.38444i | ||||
\(743\) | 28.6938 | + | 13.1040i | 1.05267 | + | 0.480741i | 0.865147 | − | 0.501519i | \(-0.167225\pi\) |
0.187528 | + | 0.982259i | \(0.439952\pi\) | |||||||
\(744\) | 14.5451 | − | 16.7859i | 0.533248 | − | 0.615400i | ||||
\(745\) | 39.2996 | + | 11.5159i | 1.43983 | + | 0.421908i | ||||
\(746\) | −30.1333 | − | 65.9827i | −1.10326 | − | 2.41580i | ||||
\(747\) | −0.399170 | + | 1.35945i | −0.0146049 | + | 0.0497396i | ||||
\(748\) | −16.5777 | + | 56.4585i | −0.606142 | + | 2.06433i | ||||
\(749\) | 1.92631 | + | 4.21804i | 0.0703860 | + | 0.154124i | ||||
\(750\) | −44.2721 | − | 28.3485i | −1.61659 | − | 1.03514i | ||||
\(751\) | −0.178172 | + | 0.205622i | −0.00650159 | + | 0.00750324i | −0.758991 | − | 0.651101i | \(-0.774307\pi\) |
0.752489 | + | 0.658604i | \(0.228853\pi\) | |||||||
\(752\) | 3.94631 | + | 1.80222i | 0.143907 | + | 0.0657202i | ||||
\(753\) | 16.9865 | − | 26.4316i | 0.619024 | − | 0.963220i | ||||
\(754\) | 2.45651 | + | 17.0854i | 0.0894608 | + | 0.622213i | ||||
\(755\) | 16.2625 | + | 35.5579i | 0.591851 | + | 1.29408i | ||||
\(756\) | 33.7491 | + | 38.9486i | 1.22744 | + | 1.41655i | ||||
\(757\) | −0.581408 | − | 1.98009i | −0.0211316 | − | 0.0719678i | 0.948252 | − | 0.317518i | \(-0.102849\pi\) |
−0.969384 | + | 0.245550i | \(0.921031\pi\) | |||||||
\(758\) | − | 26.1062i | − | 0.948219i | ||||||
\(759\) | −31.2790 | − | 38.3306i | −1.13535 | − | 1.39131i | ||||
\(760\) | 36.5508 | + | 5.23463i | 1.32584 | + | 0.189880i | ||||
\(761\) | 39.8954 | − | 11.7143i | 1.44621 | − | 0.424644i | 0.537921 | − | 0.842996i | \(-0.319210\pi\) |
0.908285 | + | 0.418351i | \(0.137392\pi\) | |||||||
\(762\) | −30.8214 | + | 26.7069i | −1.11654 | + | 0.967489i | ||||
\(763\) | 6.71815 | + | 10.4536i | 0.243213 | + | 0.378447i | ||||
\(764\) | −9.54237 | − | 66.3686i | −0.345231 | − | 2.40113i | ||||
\(765\) | −0.594646 | − | 0.514690i | −0.0214995 | − | 0.0186086i | ||||
\(766\) | −12.3360 | + | 27.0122i | −0.445719 | + | 0.975989i | ||||
\(767\) | −21.4540 | − | 18.5900i | −0.774660 | − | 0.671246i | ||||
\(768\) | −12.6352 | − | 1.81667i | −0.455934 | − | 0.0655535i | ||||
\(769\) | 18.8182 | + | 41.2062i | 0.678602 | + | 1.48593i | 0.864117 | + | 0.503290i | \(0.167877\pi\) |
−0.185515 | + | 0.982641i | \(0.559395\pi\) | |||||||
\(770\) | 29.2087 | − | 64.0516i | 1.05261 | − | 2.30826i | ||||
\(771\) | −10.5281 | − | 3.09134i | −0.379161 | − | 0.111332i | ||||
\(772\) | 24.9830 | − | 11.4093i | 0.899157 | − | 0.410631i | ||||
\(773\) | 11.6427 | + | 1.67397i | 0.418759 | + | 0.0602085i | 0.348474 | − | 0.937318i | \(-0.386700\pi\) |
0.0702852 | + | 0.997527i | \(0.477609\pi\) | |||||||
\(774\) | 1.23673 | − | 1.42727i | 0.0444534 | − | 0.0513020i | ||||
\(775\) | −5.20104 | + | 6.01572i | −0.186827 | + | 0.216091i | ||||
\(776\) | −66.0598 | − | 42.4541i | −2.37141 | − | 1.52401i | ||||
\(777\) | −2.27548 | + | 0.327165i | −0.0816325 | + | 0.0117370i | ||||
\(778\) | −11.6295 | − | 18.0958i | −0.416937 | − | 0.648767i | ||||
\(779\) | −2.80744 | − | 3.23996i | −0.100587 | − | 0.116084i | ||||
\(780\) | −8.92950 | − | 61.8638i | −0.319728 | − | 2.21508i | ||||
\(781\) | 80.4796 | 2.87979 | ||||||||
\(782\) | 0.764877 | − | 25.8694i | 0.0273520 | − | 0.925089i | ||||
\(783\) | − | 10.4277i | − | 0.372657i | ||||||
\(784\) | −28.5099 | + | 8.37126i | −1.01821 | + | 0.298973i | ||||
\(785\) | −1.37188 | − | 2.13210i | −0.0489645 | − | 0.0760979i | ||||
\(786\) | 61.4350 | − | 39.4819i | 2.19132 | − | 1.40827i | ||||
\(787\) | −35.1816 | + | 5.05835i | −1.25409 | + | 0.180311i | −0.737160 | − | 0.675718i | \(-0.763834\pi\) |
−0.516928 | + | 0.856029i | \(0.672925\pi\) | |||||||
\(788\) | −52.2453 | + | 81.2953i | −1.86116 | + | 2.89602i | ||||
\(789\) | 15.2035 | − | 33.2911i | 0.541260 | − | 1.18519i | ||||
\(790\) | 38.0229 | − | 32.9837i | 1.35279 | − | 1.17351i | ||||
\(791\) | 1.55927 | − | 10.8449i | 0.0554411 | − | 0.385601i | ||||
\(792\) | −7.10827 | + | 3.24624i | −0.252581 | + | 0.115350i | ||||
\(793\) | −1.21187 | + | 4.12724i | −0.0430347 | + | 0.146563i | ||||
\(794\) | −34.0176 | − | 9.98846i | −1.20724 | − | 0.354477i | ||||
\(795\) | 31.5097 | − | 9.27097i | 1.11753 | − | 0.328807i | ||||
\(796\) | −7.56256 | + | 52.5988i | −0.268048 | + | 1.86431i | ||||
\(797\) | −4.42871 | − | 3.83750i | −0.156873 | − | 0.135931i | 0.572888 | − | 0.819634i | \(-0.305823\pi\) |
−0.729761 | + | 0.683703i | \(0.760369\pi\) | |||||||
\(798\) | −18.5447 | − | 8.46910i | −0.656477 | − | 0.299803i | ||||
\(799\) | −0.693274 | − | 0.445540i | −0.0245263 | − | 0.0157621i | ||||
\(800\) | −62.9989 | − | 8.98693i | −2.22735 | − | 0.317736i | ||||
\(801\) | 0.462816 | − | 0.297434i | 0.0163528 | − | 0.0105093i | ||||
\(802\) | −28.2848 | + | 24.5090i | −0.998772 | + | 0.865441i | ||||
\(803\) | −16.8447 | − | 57.3678i | −0.594437 | − | 2.02447i | ||||
\(804\) | −59.5889 | −2.10154 | ||||||||
\(805\) | −3.77456 | + | 21.7533i | −0.133036 | + | 0.766703i | ||||
\(806\) | −13.2600 | −0.467064 | ||||||||
\(807\) | −7.50723 | − | 25.5673i | −0.264267 | − | 0.900011i | ||||
\(808\) | −111.024 | + | 96.2027i | −3.90580 | + | 3.38440i | ||||
\(809\) | 31.2095 | − | 20.0571i | 1.09727 | − | 0.705171i | 0.138785 | − | 0.990323i | \(-0.455680\pi\) |
0.958482 | + | 0.285152i | \(0.0920441\pi\) | |||||||
\(810\) | 0.0308975 | + | 56.0030i | 0.00108563 | + | 1.96774i | ||||
\(811\) | −8.22031 | − | 5.28287i | −0.288654 | − | 0.185507i | 0.388298 | − | 0.921534i | \(-0.373063\pi\) |
−0.676952 | + | 0.736027i | \(0.736700\pi\) | |||||||
\(812\) | −19.2703 | − | 8.80045i | −0.676255 | − | 0.308835i | ||||
\(813\) | 20.0066 | + | 17.3358i | 0.701662 | + | 0.607994i | ||||
\(814\) | −1.36436 | + | 9.48935i | −0.0478209 | + | 0.332602i | ||||
\(815\) | 4.89127 | + | 16.6242i | 0.171334 | + | 0.582320i | ||||
\(816\) | −37.5884 | − | 11.0370i | −1.31586 | − | 0.386371i | ||||
\(817\) | 2.46665 | − | 8.40062i | 0.0862970 | − | 0.293901i | ||||
\(818\) | −44.1593 | + | 20.1669i | −1.54399 | + | 0.705118i | ||||
\(819\) | −0.159207 | + | 1.10731i | −0.00556314 | + | 0.0386925i | ||||
\(820\) | 14.8244 | + | 17.0892i | 0.517691 | + | 0.596781i | ||||
\(821\) | 1.01096 | − | 2.21369i | 0.0352827 | − | 0.0772583i | −0.891170 | − | 0.453669i | \(-0.850115\pi\) |
0.926453 | + | 0.376411i | \(0.122842\pi\) | |||||||
\(822\) | 26.6567 | − | 41.4786i | 0.929759 | − | 1.44673i | ||||
\(823\) | −41.8903 | + | 6.02292i | −1.46020 | + | 0.209946i | −0.826197 | − | 0.563381i | \(-0.809500\pi\) |
−0.634007 | + | 0.773327i | \(0.718591\pi\) | |||||||
\(824\) | −86.2750 | + | 55.4456i | −3.00553 | + | 1.93154i | ||||
\(825\) | 46.8947 | − | 21.4786i | 1.63266 | − | 0.747791i | ||||
\(826\) | 46.8817 | − | 13.7657i | 1.63122 | − | 0.478971i | ||||
\(827\) | − | 31.4841i | − | 1.09481i | −0.836867 | − | 0.547406i | \(-0.815616\pi\) | ||
0.836867 | − | 0.547406i | \(-0.184384\pi\) | |||||||
\(828\) | 3.17750 | − | 2.59294i | 0.110426 | − | 0.0901108i | ||||
\(829\) | −39.5914 | −1.37507 | −0.687534 | − | 0.726152i | \(-0.741307\pi\) | ||||
−0.687534 | + | 0.726152i | \(0.741307\pi\) | |||||||
\(830\) | −6.94454 | − | 48.1119i | −0.241048 | − | 1.66999i | ||||
\(831\) | −11.6412 | − | 13.4346i | −0.403827 | − | 0.466042i | ||||
\(832\) | −20.6234 | − | 32.0906i | −0.714987 | − | 1.11254i | ||||
\(833\) | 5.58679 | − | 0.803260i | 0.193571 | − | 0.0278313i | ||||
\(834\) | 53.6001 | + | 34.4467i | 1.85602 | + | 1.19279i | ||||
\(835\) | 11.5120 | − | 17.9347i | 0.398388 | − | 0.620657i | ||||
\(836\) | −39.7000 | + | 45.8162i | −1.37305 | + | 1.58459i | ||||
\(837\) | 7.92907 | + | 1.14003i | 0.274069 | + | 0.0394051i | ||||
\(838\) | 71.6364 | − | 32.7153i | 2.47464 | − | 1.13013i | ||||
\(839\) | −7.51083 | − | 2.20538i | −0.259303 | − | 0.0761382i | 0.149497 | − | 0.988762i | \(-0.452234\pi\) |
−0.408800 | + | 0.912624i | \(0.634053\pi\) | |||||||
\(840\) | 58.4951 | + | 26.6748i | 2.01827 | + | 0.920369i | ||||
\(841\) | −10.2664 | − | 22.4802i | −0.354013 | − | 0.775180i | ||||
\(842\) | 88.1039 | + | 12.6674i | 3.03626 | + | 0.436548i | ||||
\(843\) | 34.4257 | + | 29.8301i | 1.18569 | + | 1.02740i | ||||
\(844\) | −25.9687 | + | 56.8636i | −0.893881 | + | 1.95733i | ||||
\(845\) | 4.43034 | − | 5.11859i | 0.152408 | − | 0.176085i | ||||
\(846\) | −0.0260639 | − | 0.181278i | −0.000896095 | − | 0.00623248i | ||||
\(847\) | 25.0982 | + | 39.0536i | 0.862384 | + | 1.34190i | ||||
\(848\) | 67.0717 | − | 58.1179i | 2.30325 | − | 1.99578i | ||||
\(849\) | 11.9599 | − | 3.51174i | 0.410462 | − | 0.120523i | ||||
\(850\) | 25.8979 | + | 7.57328i | 0.888291 | + | 0.259762i | ||||
\(851\) | −0.339757 | − | 2.98745i | −0.0116467 | − | 0.102409i | ||||
\(852\) | 122.992i | 4.21363i | ||||||||
\(853\) | −4.71569 | − | 16.0602i | −0.161462 | − | 0.549890i | −0.999987 | − | 0.00502706i | \(-0.998400\pi\) |
0.838525 | − | 0.544863i | \(-0.183418\pi\) | |||||||
\(854\) | −4.84840 | − | 5.59535i | −0.165909 | − | 0.191469i | ||||
\(855\) | −0.337003 | − | 0.736857i | −0.0115252 | − | 0.0252000i | ||||
\(856\) | 2.51332 | + | 17.4805i | 0.0859036 | + | 0.597472i | ||||
\(857\) | −21.8585 | + | 34.0126i | −0.746673 | + | 1.16185i | 0.235133 | + | 0.971963i | \(0.424447\pi\) |
−0.981807 | + | 0.189883i | \(0.939189\pi\) | |||||||
\(858\) | 78.2332 | + | 35.7279i | 2.67084 | + | 1.21973i | ||||
\(859\) | −23.0015 | + | 26.5451i | −0.784800 | + | 0.905708i | −0.997446 | − | 0.0714213i | \(-0.977247\pi\) |
0.212646 | + | 0.977129i | \(0.431792\pi\) | |||||||
\(860\) | −12.9921 | + | 44.3375i | −0.443027 | + | 1.51190i | ||||
\(861\) | −3.10086 | − | 6.78994i | −0.105677 | − | 0.231401i | ||||
\(862\) | −15.1183 | + | 51.4881i | −0.514930 | + | 1.75369i | ||||
\(863\) | 7.14758 | − | 24.3424i | 0.243307 | − | 0.828626i | −0.743778 | − | 0.668427i | \(-0.766968\pi\) |
0.987085 | − | 0.160199i | \(-0.0512137\pi\) | |||||||
\(864\) | 26.6293 | + | 58.3100i | 0.905947 | + | 1.98375i | ||||
\(865\) | 7.05893 | − | 24.0897i | 0.240011 | − | 0.819073i | ||||
\(866\) | −62.6397 | + | 72.2900i | −2.12858 | + | 2.45652i | ||||
\(867\) | −20.7723 | − | 9.48639i | −0.705464 | − | 0.322175i | ||||
\(868\) | 8.79846 | − | 13.6907i | 0.298639 | − | 0.464692i | ||||
\(869\) | 7.02845 | + | 48.8840i | 0.238424 | + | 1.65827i | ||||
\(870\) | −9.05374 | − | 19.7960i | −0.306951 | − | 0.671148i | ||||
\(871\) | 13.9217 | + | 16.0664i | 0.471717 | + | 0.544391i | ||||
\(872\) | 13.3331 | + | 45.4083i | 0.451515 | + | 1.53772i | ||||
\(873\) | 1.72318i | 0.0583209i | ||||||||
\(874\) | 11.7887 | − | 23.9167i | 0.398760 | − | 0.808996i | ||||
\(875\) | −20.9540 | − | 9.52747i | −0.708373 | − | 0.322087i | ||||
\(876\) | 87.6716 | − | 25.7427i | 2.96215 | − | 0.869765i | ||||
\(877\) | 19.5255 | − | 16.9189i | 0.659329 | − | 0.571312i | −0.259609 | − | 0.965714i | \(-0.583594\pi\) |
0.918938 | + | 0.394402i | \(0.129048\pi\) | |||||||
\(878\) | −3.41275 | − | 5.31034i | −0.115175 | − | 0.179215i | ||||
\(879\) | 2.63524 | + | 18.3285i | 0.0888845 | + | 0.618205i | ||||
\(880\) | 91.2090 | − | 105.378i | 3.07465 | − | 3.55230i | ||||
\(881\) | 1.31705 | − | 2.88393i | 0.0443725 | − | 0.0971622i | −0.886148 | − | 0.463403i | \(-0.846628\pi\) |
0.930520 | + | 0.366241i | \(0.119355\pi\) | |||||||
\(882\) | 0.947970 | + | 0.821421i | 0.0319198 | + | 0.0276587i | ||||
\(883\) | 3.20194 | + | 0.460370i | 0.107754 | + | 0.0154927i | 0.195981 | − | 0.980608i | \(-0.437211\pi\) |
−0.0882269 | + | 0.996100i | \(0.528120\pi\) | |||||||
\(884\) | 13.3271 | + | 29.1823i | 0.448240 | + | 0.981509i | ||||
\(885\) | 32.5731 | + | 14.8539i | 1.09493 | + | 0.499309i | ||||
\(886\) | −26.0870 | − | 7.65984i | −0.876411 | − | 0.257337i | ||||
\(887\) | 23.3433 | − | 10.6605i | 0.783792 | − | 0.357946i | 0.0170118 | − | 0.999855i | \(-0.494585\pi\) |
0.766781 | + | 0.641909i | \(0.221857\pi\) | |||||||
\(888\) | −8.66615 | − | 1.24600i | −0.290817 | − | 0.0418132i | ||||
\(889\) | −11.6938 | + | 13.4953i | −0.392196 | + | 0.452619i | ||||
\(890\) | −10.1959 | + | 15.8844i | −0.341768 | + | 0.532447i | ||||
\(891\) | −46.2246 | − | 29.7067i | −1.54858 | − | 0.995213i | ||||
\(892\) | −24.6553 | + | 3.54490i | −0.825521 | + | 0.118692i | ||||
\(893\) | −0.459029 | − | 0.714264i | −0.0153608 | − | 0.0239019i | ||||
\(894\) | −56.3932 | − | 65.0812i | −1.88607 | − | 2.17664i | ||||
\(895\) | 1.57953 | + | 10.9430i | 0.0527978 | + | 0.365784i | ||||
\(896\) | 13.2507 | 0.442674 | ||||||||
\(897\) | −26.5739 | − | 4.62611i | −0.887275 | − | 0.154461i | ||||
\(898\) | − | 84.8416i | − | 2.83120i | ||||||
\(899\) | −3.15948 | + | 0.927708i | −0.105375 | + | 0.0309408i | ||||
\(900\) | 1.78052 | + | 3.88744i | 0.0593507 | + | 0.129581i | ||||
\(901\) | −14.1821 | + | 9.11428i | −0.472474 | + | 0.303641i | ||||
\(902\) | −30.8120 | + | 4.43010i | −1.02593 | + | 0.147506i | ||||
\(903\) | 8.24170 | − | 12.8243i | 0.274267 | − | 0.426767i | ||||
\(904\) | 17.3342 | − | 37.9567i | 0.576528 | − | 1.26242i | ||||
\(905\) | 11.6017 | + | 13.3742i | 0.385655 | + | 0.444573i | ||||
\(906\) | 11.7012 | − | 81.3839i | 0.388748 | − | 2.70380i | ||||
\(907\) | −13.2479 | + | 6.05013i | −0.439890 | + | 0.200891i | −0.623034 | − | 0.782195i | \(-0.714100\pi\) |
0.183143 | + | 0.983086i | \(0.441373\pi\) | |||||||
\(908\) | −19.5762 | + | 66.6703i | −0.649658 | + | 2.21253i | ||||
\(909\) | 3.09315 | + | 0.908231i | 0.102593 | + | 0.0301241i | ||||
\(910\) | −10.8336 | − | 36.8208i | −0.359131 | − | 1.22060i | ||||
\(911\) | −5.66346 | + | 39.3902i | −0.187639 | + | 1.30506i | 0.650461 | + | 0.759539i | \(0.274576\pi\) |
−0.838100 | + | 0.545516i | \(0.816334\pi\) | |||||||
\(912\) | −30.5031 | − | 26.4311i | −1.01006 | − | 0.875220i | ||||
\(913\) | 43.3841 | + | 19.8129i | 1.43580 | + | 0.655710i | ||||
\(914\) | −29.7351 | − | 19.1096i | −0.983549 | − | 0.632089i | ||||
\(915\) | −0.00299284 | − | 5.42465i | −9.89404e−5 | − | 0.179333i | ||||
\(916\) | 49.2256 | − | 31.6353i | 1.62646 | − | 1.04526i | ||||
\(917\) | 24.1656 | − | 20.9396i | 0.798019 | − | 0.691487i | ||||
\(918\) | −7.65756 | − | 26.0792i | −0.252737 | − | 0.860743i | ||||
\(919\) | 14.0233 | 0.462587 | 0.231293 | − | 0.972884i | \(-0.425704\pi\) | ||||
0.231293 | + | 0.972884i | \(0.425704\pi\) | |||||||
\(920\) | −37.1339 | + | 75.4413i | −1.22427 | + | 2.48723i | ||||
\(921\) | 4.65750 | 0.153470 | ||||||||
\(922\) | 22.7004 | + | 77.3103i | 0.747596 | + | 2.54608i | ||||
\(923\) | 33.1612 | − | 28.7343i | 1.09151 | − | 0.945802i | ||||
\(924\) | −88.7988 | + | 57.0675i | −2.92126 | + | 1.87738i | ||||
\(925\) | 3.10330 | + | 0.442692i | 0.102036 | + | 0.0145556i | ||||
\(926\) | 46.4721 | + | 29.8658i | 1.52717 | + | 0.981450i | ||||
\(927\) | 2.04713 | + | 0.934892i | 0.0672365 | + | 0.0307059i | ||||
\(928\) | −19.9143 | − | 17.2558i | −0.653718 | − | 0.566450i | ||||
\(929\) | 6.86381 | − | 47.7389i | 0.225194 | − | 1.56626i | −0.492756 | − | 0.870167i | \(-0.664011\pi\) |
0.717951 | − | 0.696094i | \(-0.245080\pi\) | |||||||
\(930\) | 16.0424 | − | 4.72008i | 0.526050 | − | 0.154777i | ||||
\(931\) | 5.57958 | + | 1.63831i | 0.182863 | + | 0.0536935i | ||||
\(932\) | 6.95120 | − | 23.6736i | 0.227694 | − | 0.775455i | ||||
\(933\) | −43.3767 | + | 19.8095i | −1.42009 | + | 0.648534i | ||||
\(934\) | 12.3195 | − | 85.6842i | 0.403107 | − | 2.80367i | ||||
\(935\) | −19.9981 | + | 17.3477i | −0.654006 | + | 0.567332i | ||||
\(936\) | −1.76989 | + | 3.87552i | −0.0578507 | + | 0.126675i | ||||
\(937\) | 16.0195 | − | 24.9268i | 0.523335 | − | 0.814325i | −0.474489 | − | 0.880261i | \(-0.657367\pi\) |
0.997824 | + | 0.0659368i | \(0.0210036\pi\) | |||||||
\(938\) | −36.2184 | + | 5.20743i | −1.18257 | + | 0.170028i | ||||
\(939\) | −24.9344 | + | 16.0244i | −0.813705 | + | 0.522936i | ||||
\(940\) | 2.42439 | + | 3.76786i | 0.0790750 | + | 0.122894i | ||||
\(941\) | 15.2867 | − | 4.48857i | 0.498331 | − | 0.146323i | −0.0229019 | − | 0.999738i | \(-0.507291\pi\) |
0.521233 | + | 0.853415i | \(0.325472\pi\) | |||||||
\(942\) | 5.33134i | 0.173705i | ||||||||
\(943\) | 8.99656 | − | 3.79140i | 0.292968 | − | 0.123465i | ||||
\(944\) | 96.7325 | 3.14838 | ||||||||
\(945\) | 3.31251 | + | 22.9491i | 0.107756 | + | 0.746534i | ||||
\(946\) | −41.6313 | − | 48.0451i | −1.35355 | − | 1.56208i | ||||
\(947\) | −30.1753 | − | 46.9537i | −0.980565 | − | 1.52579i | −0.844823 | − | 0.535045i | \(-0.820294\pi\) |
−0.135742 | − | 0.990744i | \(-0.543342\pi\) | |||||||
\(948\) | −74.7062 | + | 10.7411i | −2.42635 | + | 0.348856i | ||||
\(949\) | −27.4233 | − | 17.6239i | −0.890199 | − | 0.572096i | ||||
\(950\) | 21.0295 | + | 18.1816i | 0.682287 | + | 0.589888i | ||||
\(951\) | 30.5763 | − | 35.2869i | 0.991504 | − | 1.14426i | ||||
\(952\) | −32.6619 | − | 4.69608i | −1.05858 | − | 0.152201i | ||||
\(953\) | 39.8521 | − | 18.1999i | 1.29094 | − | 0.589551i | 0.352763 | − | 0.935713i | \(-0.385242\pi\) |
0.938175 | + | 0.346162i | \(0.112515\pi\) | |||||||
\(954\) | −3.59473 | − | 1.05551i | −0.116384 | − | 0.0341733i | ||||
\(955\) | 12.5168 | − | 27.4480i | 0.405034 | − | 0.888197i | ||||
\(956\) | −29.3673 | − | 64.3054i | −0.949807 | − | 2.07979i | ||||
\(957\) | 21.1404 | + | 3.03953i | 0.683372 | + | 0.0982541i | ||||
\(958\) | 66.3201 | + | 57.4667i | 2.14271 | + | 1.85667i | ||||
\(959\) | 8.96831 | − | 19.6379i | 0.289602 | − | 0.634139i | ||||
\(960\) | 36.3739 | + | 31.4830i | 1.17396 | + | 1.01611i | ||||
\(961\) | 4.05176 | + | 28.1806i | 0.130702 | + | 0.909052i | ||||
\(962\) | 2.82589 | + | 4.39717i | 0.0911103 | + | 0.141770i | ||||
\(963\) | 0.292885 | − | 0.253786i | 0.00943808 | − | 0.00817814i | ||||
\(964\) | −17.9248 | + | 5.26320i | −0.577320 | + | 0.169516i | ||||
\(965\) | 12.2321 | + | 1.75182i | 0.393764 | + | 0.0563930i | ||||
\(966\) | 31.4268 | − | 34.1732i | 1.01114 | − | 1.09950i | ||||
\(967\) | 13.4070i | 0.431139i | 0.976488 | + | 0.215570i | \(0.0691608\pi\) | ||||
−0.976488 | + | 0.215570i | \(0.930839\pi\) | |||||||
\(968\) | 49.8108 | + | 169.640i | 1.60098 | + | 5.45244i | ||||
\(969\) | 5.02073 | + | 5.79423i | 0.161289 | + | 0.186138i | ||||
\(970\) | −24.5894 | − | 53.7647i | −0.789517 | − | 1.72628i | ||||
\(971\) | 5.71226 | + | 39.7296i | 0.183315 | + | 1.27498i | 0.848856 | + | 0.528623i | \(0.177292\pi\) |
−0.665541 | + | 0.746361i | \(0.731799\pi\) | |||||||
\(972\) | 4.79890 | − | 7.46723i | 0.153925 | − | 0.239511i | ||||
\(973\) | 25.3767 | + | 11.5892i | 0.813540 | + | 0.371531i | ||||
\(974\) | 36.6386 | − | 42.2832i | 1.17398 | − | 1.35484i | ||||
\(975\) | 11.6540 | − | 25.5934i | 0.373227 | − | 0.819645i | ||||
\(976\) | −6.08895 | − | 13.3329i | −0.194903 | − | 0.426777i | ||||
\(977\) | −10.4549 | + | 35.6061i | −0.334482 | + | 1.13914i | 0.604910 | + | 0.796294i | \(0.293209\pi\) |
−0.939392 | + | 0.342846i | \(0.888609\pi\) | |||||||
\(978\) | 10.2662 | − | 34.9634i | 0.328276 | − | 1.11800i | ||||
\(979\) | −7.69322 | − | 16.8458i | −0.245876 | − | 0.538394i | ||||
\(980\) | −29.4484 | − | 8.62918i | −0.940694 | − | 0.275649i | ||||
\(981\) | 0.680086 | − | 0.784861i | 0.0217135 | − | 0.0250587i | ||||
\(982\) | 37.7192 | + | 17.2258i | 1.20367 | + | 0.549696i | ||||
\(983\) | −17.3757 | + | 27.0372i | −0.554200 | + | 0.862352i | −0.999454 | − | 0.0330527i | \(-0.989477\pi\) |
0.445254 | + | 0.895404i | \(0.353113\pi\) | |||||||
\(984\) | −4.04579 | − | 28.1391i | −0.128975 | − | 0.897041i | ||||
\(985\) | −39.5389 | + | 18.0832i | −1.25981 | + | 0.576178i | ||||
\(986\) | 7.31663 | + | 8.44384i | 0.233009 | + | 0.268907i | ||||
\(987\) | −0.416493 | − | 1.41844i | −0.0132571 | − | 0.0451495i | ||||
\(988\) | 33.0528i | 1.05155i | ||||||||
\(989\) | 16.4471 | + | 11.2703i | 0.522987 | + | 0.358376i | ||||
\(990\) | −5.82398 | − | 0.834082i | −0.185098 | − | 0.0265089i | ||||
\(991\) | 3.91774 | − | 1.15035i | 0.124451 | − | 0.0365421i | −0.218914 | − | 0.975744i | \(-0.570251\pi\) |
0.343365 | + | 0.939202i | \(0.388433\pi\) | |||||||
\(992\) | 15.2982 | − | 13.2560i | 0.485718 | − | 0.420877i | ||||
\(993\) | −6.79510 | − | 10.5734i | −0.215636 | − | 0.335536i | ||||
\(994\) | 10.7481 | + | 74.7550i | 0.340911 | + | 2.37108i | ||||
\(995\) | −15.6466 | + | 18.0773i | −0.496031 | + | 0.573089i | ||||
\(996\) | −30.2787 | + | 66.3011i | −0.959418 | + | 2.10083i | ||||
\(997\) | 13.9441 | + | 12.0826i | 0.441613 | + | 0.382660i | 0.847094 | − | 0.531444i | \(-0.178350\pi\) |
−0.405480 | + | 0.914104i | \(0.632896\pi\) | |||||||
\(998\) | −106.948 | − | 15.3767i | −3.38537 | − | 0.486742i | ||||
\(999\) | −1.31175 | − | 2.87233i | −0.0415019 | − | 0.0908764i |
(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 | 115.2.j.a.9.1 | ✓ | 100 | |
5.2 | odd | 4 | 575.2.k.g.101.10 | 100 | |||
5.3 | odd | 4 | 575.2.k.g.101.1 | 100 | |||
5.4 | even | 2 | inner | 115.2.j.a.9.10 | yes | 100 | |
23.18 | even | 11 | inner | 115.2.j.a.64.10 | yes | 100 | |
115.18 | odd | 44 | 575.2.k.g.501.1 | 100 | |||
115.64 | even | 22 | inner | 115.2.j.a.64.1 | yes | 100 | |
115.87 | odd | 44 | 575.2.k.g.501.10 | 100 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
115.2.j.a.9.1 | ✓ | 100 | 1.1 | even | 1 | trivial | |
115.2.j.a.9.10 | yes | 100 | 5.4 | even | 2 | inner | |
115.2.j.a.64.1 | yes | 100 | 115.64 | even | 22 | inner | |
115.2.j.a.64.10 | yes | 100 | 23.18 | even | 11 | inner | |
575.2.k.g.101.1 | 100 | 5.3 | odd | 4 | |||
575.2.k.g.101.10 | 100 | 5.2 | odd | 4 | |||
575.2.k.g.501.1 | 100 | 115.18 | odd | 44 | |||
575.2.k.g.501.10 | 100 | 115.87 | odd | 44 |