Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [731,2,Mod(87,731)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(731, base_ring=CyclotomicField(8))
chi = DirichletCharacter(H, H._module([7, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("731.87");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 731 = 17 \cdot 43 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 731.m (of order \(8\), degree \(4\), 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: | \(5.83706438776\) |
Analytic rank: | \(0\) |
Dimension: | \(128\) |
Relative dimension: | \(32\) over \(\Q(\zeta_{8})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{8}]$ |
Embedding invariants
Embedding label | 87.6 | ||
Character | \(\chi\) | \(=\) | 731.87 |
Dual form | 731.2.m.c.689.6 |
$q$-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 \(\left(\mathbb{Z}/731\mathbb{Z}\right)^\times\).
\(n\) | \(173\) | \(562\) |
\(\chi(n)\) | \(e\left(\frac{7}{8}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.15376 | − | 1.15376i | −0.815829 | − | 0.815829i | 0.169672 | − | 0.985501i | \(-0.445729\pi\) |
−0.985501 | + | 0.169672i | \(0.945729\pi\) | |||||||
\(3\) | 0.645285 | − | 0.267286i | 0.372555 | − | 0.154318i | −0.188546 | − | 0.982064i | \(-0.560378\pi\) |
0.561102 | + | 0.827747i | \(0.310378\pi\) | |||||||
\(4\) | 0.662305i | 0.331153i | ||||||||
\(5\) | 0.125261 | + | 0.302406i | 0.0560183 | + | 0.135240i | 0.949411 | − | 0.314037i | \(-0.101682\pi\) |
−0.893392 | + | 0.449277i | \(0.851682\pi\) | |||||||
\(6\) | −1.05288 | − | 0.436119i | −0.429838 | − | 0.178045i | ||||
\(7\) | 0.205763 | − | 0.496757i | 0.0777712 | − | 0.187756i | −0.880212 | − | 0.474581i | \(-0.842600\pi\) |
0.957983 | + | 0.286824i | \(0.0925996\pi\) | |||||||
\(8\) | −1.54337 | + | 1.54337i | −0.545665 | + | 0.545665i | ||||
\(9\) | −1.77637 | + | 1.77637i | −0.592123 | + | 0.592123i | ||||
\(10\) | 0.204383 | − | 0.493423i | 0.0646314 | − | 0.156034i | ||||
\(11\) | 5.51981 | + | 2.28638i | 1.66428 | + | 0.689369i | 0.998392 | − | 0.0566792i | \(-0.0180512\pi\) |
0.665892 | + | 0.746048i | \(0.268051\pi\) | |||||||
\(12\) | 0.177025 | + | 0.427376i | 0.0511026 | + | 0.123373i | ||||
\(13\) | − | 3.02723i | − | 0.839604i | −0.907616 | − | 0.419802i | \(-0.862100\pi\) | ||
0.907616 | − | 0.419802i | \(-0.137900\pi\) | |||||||
\(14\) | −0.810537 | + | 0.335735i | −0.216625 | + | 0.0897290i | ||||
\(15\) | 0.161658 | + | 0.161658i | 0.0417398 | + | 0.0417398i | ||||
\(16\) | 4.88596 | 1.22149 | ||||||||
\(17\) | 0.0210706 | − | 4.12305i | 0.00511038 | − | 0.999987i | ||||
\(18\) | 4.09899 | 0.966142 | ||||||||
\(19\) | −1.54151 | − | 1.54151i | −0.353647 | − | 0.353647i | 0.507817 | − | 0.861465i | \(-0.330452\pi\) |
−0.861465 | + | 0.507817i | \(0.830452\pi\) | |||||||
\(20\) | −0.200285 | + | 0.0829608i | −0.0447851 | + | 0.0185506i | ||||
\(21\) | − | 0.375547i | − | 0.0819511i | ||||||
\(22\) | −3.73059 | − | 9.00643i | −0.795364 | − | 1.92018i | ||||
\(23\) | 6.80846 | + | 2.82016i | 1.41966 | + | 0.588043i | 0.954776 | − | 0.297327i | \(-0.0960951\pi\) |
0.464887 | + | 0.885370i | \(0.346095\pi\) | |||||||
\(24\) | −0.583394 | + | 1.40844i | −0.119085 | + | 0.287496i | ||||
\(25\) | 3.45977 | − | 3.45977i | 0.691955 | − | 0.691955i | ||||
\(26\) | −3.49269 | + | 3.49269i | −0.684973 | + | 0.684973i | ||||
\(27\) | −1.47332 | + | 3.55692i | −0.283541 | + | 0.684529i | ||||
\(28\) | 0.329004 | + | 0.136278i | 0.0621760 | + | 0.0257541i | ||||
\(29\) | −3.74945 | − | 9.05197i | −0.696255 | − | 1.68091i | −0.731781 | − | 0.681540i | \(-0.761311\pi\) |
0.0355262 | − | 0.999369i | \(-0.488689\pi\) | |||||||
\(30\) | − | 0.373027i | − | 0.0681051i | ||||||
\(31\) | 7.55856 | − | 3.13086i | 1.35756 | − | 0.562318i | 0.419171 | − | 0.907907i | \(-0.362321\pi\) |
0.938386 | + | 0.345589i | \(0.112321\pi\) | |||||||
\(32\) | −2.55046 | − | 2.55046i | −0.450862 | − | 0.450862i | ||||
\(33\) | 4.17296 | 0.726420 | ||||||||
\(34\) | −4.78131 | + | 4.73268i | −0.819987 | + | 0.811649i | ||||
\(35\) | 0.175996 | 0.0297488 | ||||||||
\(36\) | −1.17650 | − | 1.17650i | −0.196083 | − | 0.196083i | ||||
\(37\) | −7.45467 | + | 3.08782i | −1.22554 | + | 0.507635i | −0.899167 | − | 0.437606i | \(-0.855827\pi\) |
−0.326373 | + | 0.945241i | \(0.605827\pi\) | |||||||
\(38\) | 3.55706i | 0.577031i | ||||||||
\(39\) | −0.809137 | − | 1.95343i | −0.129566 | − | 0.312799i | ||||
\(40\) | −0.660049 | − | 0.273401i | −0.104363 | − | 0.0432286i | ||||
\(41\) | 2.26733 | − | 5.47382i | 0.354097 | − | 0.854867i | −0.642008 | − | 0.766698i | \(-0.721899\pi\) |
0.996106 | − | 0.0881688i | \(-0.0281015\pi\) | |||||||
\(42\) | −0.433290 | + | 0.433290i | −0.0668581 | + | 0.0668581i | ||||
\(43\) | −0.707107 | + | 0.707107i | −0.107833 | + | 0.107833i | ||||
\(44\) | −1.51428 | + | 3.65580i | −0.228286 | + | 0.551132i | ||||
\(45\) | −0.759694 | − | 0.314676i | −0.113249 | − | 0.0469091i | ||||
\(46\) | −4.60153 | − | 11.1091i | −0.678459 | − | 1.63794i | ||||
\(47\) | 5.04755i | 0.736260i | 0.929774 | + | 0.368130i | \(0.120002\pi\) | ||||
−0.929774 | + | 0.368130i | \(0.879998\pi\) | |||||||
\(48\) | 3.15284 | − | 1.30595i | 0.455073 | − | 0.188497i | ||||
\(49\) | 4.74532 | + | 4.74532i | 0.677903 | + | 0.677903i | ||||
\(50\) | −7.98347 | −1.12903 | ||||||||
\(51\) | −1.08844 | − | 2.66618i | −0.152412 | − | 0.373339i | ||||
\(52\) | 2.00495 | 0.278037 | ||||||||
\(53\) | 4.11065 | + | 4.11065i | 0.564642 | + | 0.564642i | 0.930622 | − | 0.365981i | \(-0.119266\pi\) |
−0.365981 | + | 0.930622i | \(0.619266\pi\) | |||||||
\(54\) | 5.80367 | − | 2.40396i | 0.789779 | − | 0.327137i | ||||
\(55\) | 1.95562i | 0.263695i | ||||||||
\(56\) | 0.449111 | + | 1.08425i | 0.0600150 | + | 0.144889i | ||||
\(57\) | −1.40674 | − | 0.582691i | −0.186327 | − | 0.0771792i | ||||
\(58\) | −6.11781 | + | 14.7697i | −0.803308 | + | 1.93936i | ||||
\(59\) | 8.90947 | − | 8.90947i | 1.15991 | − | 1.15991i | 0.175420 | − | 0.984494i | \(-0.443872\pi\) |
0.984494 | − | 0.175420i | \(-0.0561283\pi\) | |||||||
\(60\) | −0.107067 | + | 0.107067i | −0.0138223 | + | 0.0138223i | ||||
\(61\) | −1.54398 | + | 3.72750i | −0.197686 | + | 0.477257i | −0.991373 | − | 0.131070i | \(-0.958159\pi\) |
0.793687 | + | 0.608326i | \(0.208159\pi\) | |||||||
\(62\) | −12.3330 | − | 5.10848i | −1.56629 | − | 0.648778i | ||||
\(63\) | 0.516912 | + | 1.24794i | 0.0651247 | + | 0.157225i | ||||
\(64\) | − | 3.88671i | − | 0.485838i | ||||||
\(65\) | 0.915454 | − | 0.379193i | 0.113548 | − | 0.0470332i | ||||
\(66\) | −4.81458 | − | 4.81458i | −0.592634 | − | 0.592634i | ||||
\(67\) | −9.13376 | −1.11587 | −0.557933 | − | 0.829886i | \(-0.688405\pi\) | ||||
−0.557933 | + | 0.829886i | \(0.688405\pi\) | |||||||
\(68\) | 2.73072 | + | 0.0139552i | 0.331148 | + | 0.00169231i | ||||
\(69\) | 5.14719 | 0.619648 | ||||||||
\(70\) | −0.203057 | − | 0.203057i | −0.0242699 | − | 0.0242699i | ||||
\(71\) | 7.17245 | − | 2.97093i | 0.851213 | − | 0.352584i | 0.0859484 | − | 0.996300i | \(-0.472608\pi\) |
0.765265 | + | 0.643716i | \(0.222608\pi\) | |||||||
\(72\) | − | 5.48320i | − | 0.646202i | ||||||
\(73\) | −2.55372 | − | 6.16522i | −0.298890 | − | 0.721585i | −0.999964 | − | 0.00849609i | \(-0.997296\pi\) |
0.701074 | − | 0.713089i | \(-0.252704\pi\) | |||||||
\(74\) | 12.1635 | + | 5.03827i | 1.41397 | + | 0.585687i | ||||
\(75\) | 1.30779 | − | 3.15729i | 0.151011 | − | 0.364572i | ||||
\(76\) | 1.02095 | − | 1.02095i | 0.117111 | − | 0.117111i | ||||
\(77\) | 2.27155 | − | 2.27155i | 0.258867 | − | 0.258867i | ||||
\(78\) | −1.32023 | + | 3.18733i | −0.149487 | + | 0.360894i | ||||
\(79\) | −10.1769 | − | 4.21542i | −1.14499 | − | 0.474272i | −0.272142 | − | 0.962257i | \(-0.587732\pi\) |
−0.872852 | + | 0.487985i | \(0.837732\pi\) | |||||||
\(80\) | 0.612019 | + | 1.47754i | 0.0684258 | + | 0.165195i | ||||
\(81\) | − | 4.84747i | − | 0.538608i | ||||||
\(82\) | −8.93139 | + | 3.69950i | −0.986307 | + | 0.408542i | ||||
\(83\) | 3.94233 | + | 3.94233i | 0.432727 | + | 0.432727i | 0.889555 | − | 0.456828i | \(-0.151014\pi\) |
−0.456828 | + | 0.889555i | \(0.651014\pi\) | |||||||
\(84\) | 0.248727 | 0.0271383 | ||||||||
\(85\) | 1.24948 | − | 0.510084i | 0.135525 | − | 0.0553264i | ||||
\(86\) | 1.63166 | 0.175946 | ||||||||
\(87\) | −4.83893 | − | 4.83893i | −0.518787 | − | 0.518787i | ||||
\(88\) | −12.0479 | + | 4.99039i | −1.28431 | + | 0.531977i | ||||
\(89\) | 4.71666i | 0.499965i | 0.968250 | + | 0.249982i | \(0.0804248\pi\) | ||||
−0.968250 | + | 0.249982i | \(0.919575\pi\) | |||||||
\(90\) | 0.513443 | + | 1.23956i | 0.0541216 | + | 0.130661i | ||||
\(91\) | −1.50380 | − | 0.622894i | −0.157641 | − | 0.0652970i | ||||
\(92\) | −1.86780 | + | 4.50928i | −0.194732 | + | 0.470125i | ||||
\(93\) | 4.04059 | − | 4.04059i | 0.418990 | − | 0.418990i | ||||
\(94\) | 5.82364 | − | 5.82364i | 0.600662 | − | 0.600662i | ||||
\(95\) | 0.273072 | − | 0.659254i | 0.0280166 | − | 0.0676380i | ||||
\(96\) | −2.32748 | − | 0.964072i | −0.237547 | − | 0.0983952i | ||||
\(97\) | −1.78681 | − | 4.31373i | −0.181423 | − | 0.437993i | 0.806838 | − | 0.590773i | \(-0.201177\pi\) |
−0.988260 | + | 0.152780i | \(0.951177\pi\) | |||||||
\(98\) | − | 10.9499i | − | 1.10610i | ||||||
\(99\) | −13.8667 | + | 5.74376i | −1.39365 | + | 0.577270i | ||||
\(100\) | 2.29143 | + | 2.29143i | 0.229143 | + | 0.229143i | ||||
\(101\) | −9.20709 | −0.916140 | −0.458070 | − | 0.888916i | \(-0.651459\pi\) | ||||
−0.458070 | + | 0.888916i | \(0.651459\pi\) | |||||||
\(102\) | −1.82033 | + | 4.33191i | −0.180239 | + | 0.428923i | ||||
\(103\) | −3.32995 | −0.328109 | −0.164055 | − | 0.986451i | \(-0.552457\pi\) | ||||
−0.164055 | + | 0.986451i | \(0.552457\pi\) | |||||||
\(104\) | 4.67215 | + | 4.67215i | 0.458142 | + | 0.458142i | ||||
\(105\) | 0.113568 | − | 0.0470413i | 0.0110831 | − | 0.00459076i | ||||
\(106\) | − | 9.48538i | − | 0.921302i | ||||||
\(107\) | 1.48056 | + | 3.57439i | 0.143131 | + | 0.345550i | 0.979146 | − | 0.203157i | \(-0.0651203\pi\) |
−0.836015 | + | 0.548707i | \(0.815120\pi\) | |||||||
\(108\) | −2.35576 | − | 0.975790i | −0.226684 | − | 0.0938954i | ||||
\(109\) | 4.93976 | − | 11.9256i | 0.473143 | − | 1.14227i | −0.489623 | − | 0.871934i | \(-0.662866\pi\) |
0.962766 | − | 0.270335i | \(-0.0871343\pi\) | |||||||
\(110\) | 2.25630 | − | 2.25630i | 0.215130 | − | 0.215130i | ||||
\(111\) | −3.98505 | + | 3.98505i | −0.378245 | + | 0.378245i | ||||
\(112\) | 1.00535 | − | 2.42713i | 0.0949968 | − | 0.229343i | ||||
\(113\) | 8.91910 | + | 3.69441i | 0.839038 | + | 0.347541i | 0.760474 | − | 0.649368i | \(-0.224967\pi\) |
0.0785638 | + | 0.996909i | \(0.474967\pi\) | |||||||
\(114\) | 0.950751 | + | 2.29532i | 0.0890460 | + | 0.214976i | ||||
\(115\) | 2.41217i | 0.224936i | ||||||||
\(116\) | 5.99516 | − | 2.48328i | 0.556637 | − | 0.230567i | ||||
\(117\) | 5.37749 | + | 5.37749i | 0.497149 | + | 0.497149i | ||||
\(118\) | −20.5587 | −1.89258 | ||||||||
\(119\) | −2.04382 | − | 0.858840i | −0.187356 | − | 0.0787297i | ||||
\(120\) | −0.498996 | −0.0455519 | ||||||||
\(121\) | 17.4626 | + | 17.4626i | 1.58751 | + | 1.58751i | ||||
\(122\) | 6.08199 | − | 2.51924i | 0.550638 | − | 0.228082i | ||||
\(123\) | − | 4.13820i | − | 0.373129i | ||||||
\(124\) | 2.07358 | + | 5.00607i | 0.186213 | + | 0.449558i | ||||
\(125\) | 2.99166 | + | 1.23919i | 0.267582 | + | 0.110836i | ||||
\(126\) | 0.843423 | − | 2.03620i | 0.0751381 | − | 0.181399i | ||||
\(127\) | −11.3470 | + | 11.3470i | −1.00688 | + | 1.00688i | −0.00690833 | + | 0.999976i | \(0.502199\pi\) |
−0.999976 | + | 0.00690833i | \(0.997801\pi\) | |||||||
\(128\) | −9.58523 | + | 9.58523i | −0.847223 | + | 0.847223i | ||||
\(129\) | −0.267286 | + | 0.645285i | −0.0235332 | + | 0.0568142i | ||||
\(130\) | −1.49371 | − | 0.618714i | −0.131007 | − | 0.0542648i | ||||
\(131\) | −5.21314 | − | 12.5856i | −0.455474 | − | 1.09961i | −0.970210 | − | 0.242264i | \(-0.922110\pi\) |
0.514736 | − | 0.857349i | \(-0.327890\pi\) | |||||||
\(132\) | 2.76378i | 0.240556i | ||||||||
\(133\) | −1.08294 | + | 0.448570i | −0.0939031 | + | 0.0388959i | ||||
\(134\) | 10.5381 | + | 10.5381i | 0.910356 | + | 0.910356i | ||||
\(135\) | −1.26018 | −0.108459 | ||||||||
\(136\) | 6.33089 | + | 6.39593i | 0.542869 | + | 0.548446i | ||||
\(137\) | 6.15344 | 0.525724 | 0.262862 | − | 0.964833i | \(-0.415334\pi\) | ||||
0.262862 | + | 0.964833i | \(0.415334\pi\) | |||||||
\(138\) | −5.93860 | − | 5.93860i | −0.505527 | − | 0.505527i | ||||
\(139\) | 2.30651 | − | 0.955387i | 0.195636 | − | 0.0810349i | −0.282715 | − | 0.959204i | \(-0.591235\pi\) |
0.478350 | + | 0.878169i | \(0.341235\pi\) | |||||||
\(140\) | 0.116563i | 0.00985139i | ||||||||
\(141\) | 1.34914 | + | 3.25711i | 0.113618 | + | 0.274298i | ||||
\(142\) | −11.7030 | − | 4.84753i | −0.982092 | − | 0.406796i | ||||
\(143\) | 6.92140 | − | 16.7097i | 0.578797 | − | 1.39734i | ||||
\(144\) | −8.67927 | + | 8.67927i | −0.723273 | + | 0.723273i | ||||
\(145\) | 2.26771 | − | 2.26771i | 0.188323 | − | 0.188323i | ||||
\(146\) | −4.16680 | + | 10.0595i | −0.344846 | + | 0.832533i | ||||
\(147\) | 4.33044 | + | 1.79373i | 0.357169 | + | 0.147944i | ||||
\(148\) | −2.04508 | − | 4.93726i | −0.168105 | − | 0.405841i | ||||
\(149\) | 19.3522i | 1.58539i | 0.609618 | + | 0.792695i | \(0.291323\pi\) | ||||
−0.609618 | + | 0.792695i | \(0.708677\pi\) | |||||||
\(150\) | −5.15161 | + | 2.13387i | −0.420628 | + | 0.174230i | ||||
\(151\) | 9.07898 | + | 9.07898i | 0.738837 | + | 0.738837i | 0.972353 | − | 0.233516i | \(-0.0750232\pi\) |
−0.233516 | + | 0.972353i | \(0.575023\pi\) | |||||||
\(152\) | 4.75826 | 0.385946 | ||||||||
\(153\) | 7.28663 | + | 7.36149i | 0.589089 | + | 0.595141i | ||||
\(154\) | −5.24162 | −0.422382 | ||||||||
\(155\) | 1.89358 | + | 1.89358i | 0.152096 | + | 0.152096i | ||||
\(156\) | 1.29377 | − | 0.535895i | 0.103584 | − | 0.0429060i | ||||
\(157\) | 8.36326i | 0.667461i | 0.942669 | + | 0.333730i | \(0.108308\pi\) | ||||
−0.942669 | + | 0.333730i | \(0.891692\pi\) | |||||||
\(158\) | 6.87813 | + | 16.6053i | 0.547194 | + | 1.32104i | ||||
\(159\) | 3.75126 | + | 1.55382i | 0.297494 | + | 0.123226i | ||||
\(160\) | 0.451802 | − | 1.09075i | 0.0357181 | − | 0.0862311i | ||||
\(161\) | 2.80186 | − | 2.80186i | 0.220818 | − | 0.220818i | ||||
\(162\) | −5.59280 | + | 5.59280i | −0.439412 | + | 0.439412i | ||||
\(163\) | −5.59774 | + | 13.5141i | −0.438449 | + | 1.05851i | 0.538036 | + | 0.842922i | \(0.319167\pi\) |
−0.976485 | + | 0.215587i | \(0.930833\pi\) | |||||||
\(164\) | 3.62534 | + | 1.50166i | 0.283091 | + | 0.117260i | ||||
\(165\) | 0.522708 | + | 1.26193i | 0.0406928 | + | 0.0982411i | ||||
\(166\) | − | 9.09698i | − | 0.706063i | ||||||
\(167\) | 21.6244 | − | 8.95711i | 1.67334 | − | 0.693122i | 0.674369 | − | 0.738394i | \(-0.264416\pi\) |
0.998975 | + | 0.0452727i | \(0.0144157\pi\) | |||||||
\(168\) | 0.579610 | + | 0.579610i | 0.0447179 | + | 0.0447179i | ||||
\(169\) | 3.83585 | 0.295066 | ||||||||
\(170\) | −2.03010 | − | 0.853076i | −0.155702 | − | 0.0654280i | ||||
\(171\) | 5.47659 | 0.418805 | ||||||||
\(172\) | −0.468320 | − | 0.468320i | −0.0357091 | − | 0.0357091i | ||||
\(173\) | −2.83629 | + | 1.17483i | −0.215639 | + | 0.0893208i | −0.487888 | − | 0.872906i | \(-0.662233\pi\) |
0.272249 | + | 0.962227i | \(0.412233\pi\) | |||||||
\(174\) | 11.1659i | 0.846483i | ||||||||
\(175\) | −1.00677 | − | 2.43056i | −0.0761048 | − | 0.183733i | ||||
\(176\) | 26.9696 | + | 11.1712i | 2.03291 | + | 0.842058i | ||||
\(177\) | 3.36777 | − | 8.13052i | 0.253137 | − | 0.611127i | ||||
\(178\) | 5.44187 | − | 5.44187i | 0.407885 | − | 0.407885i | ||||
\(179\) | 11.5287 | − | 11.5287i | 0.861694 | − | 0.861694i | −0.129841 | − | 0.991535i | \(-0.541447\pi\) |
0.991535 | + | 0.129841i | \(0.0414467\pi\) | |||||||
\(180\) | 0.208411 | − | 0.503149i | 0.0155341 | − | 0.0375025i | ||||
\(181\) | 10.9212 | + | 4.52373i | 0.811770 | + | 0.336246i | 0.749660 | − | 0.661823i | \(-0.230217\pi\) |
0.0621100 | + | 0.998069i | \(0.480217\pi\) | |||||||
\(182\) | 1.01635 | + | 2.45368i | 0.0753368 | + | 0.181879i | ||||
\(183\) | 2.81798i | 0.208311i | ||||||||
\(184\) | −14.8606 | + | 6.15544i | −1.09553 | + | 0.453785i | ||||
\(185\) | −1.86755 | − | 1.86755i | −0.137305 | − | 0.137305i | ||||
\(186\) | −9.32371 | −0.683647 | ||||||||
\(187\) | 9.54316 | − | 22.7103i | 0.697865 | − | 1.66074i | ||||
\(188\) | −3.34302 | −0.243814 | ||||||||
\(189\) | 1.46377 | + | 1.46377i | 0.106473 | + | 0.106473i | ||||
\(190\) | −1.07568 | + | 0.445560i | −0.0780377 | + | 0.0323243i | ||||
\(191\) | 6.86465i | 0.496708i | 0.968669 | + | 0.248354i | \(0.0798897\pi\) | ||||
−0.968669 | + | 0.248354i | \(0.920110\pi\) | |||||||
\(192\) | −1.03886 | − | 2.50803i | −0.0749734 | − | 0.181002i | ||||
\(193\) | −16.3854 | − | 6.78705i | −1.17945 | − | 0.488542i | −0.295141 | − | 0.955454i | \(-0.595367\pi\) |
−0.884304 | + | 0.466911i | \(0.845367\pi\) | |||||||
\(194\) | −2.91545 | + | 7.03853i | −0.209317 | + | 0.505337i | ||||
\(195\) | 0.489376 | − | 0.489376i | 0.0350449 | − | 0.0350449i | ||||
\(196\) | −3.14285 | + | 3.14285i | −0.224489 | + | 0.224489i | ||||
\(197\) | −1.07703 | + | 2.60018i | −0.0767351 | + | 0.185255i | −0.957592 | − | 0.288128i | \(-0.906967\pi\) |
0.880857 | + | 0.473383i | \(0.156967\pi\) | |||||||
\(198\) | 22.6256 | + | 9.37185i | 1.60793 | + | 0.666028i | ||||
\(199\) | 7.25981 | + | 17.5267i | 0.514634 | + | 1.24244i | 0.941160 | + | 0.337962i | \(0.109737\pi\) |
−0.426526 | + | 0.904475i | \(0.640263\pi\) | |||||||
\(200\) | 10.6794i | 0.755151i | ||||||||
\(201\) | −5.89388 | + | 2.44132i | −0.415722 | + | 0.172198i | ||||
\(202\) | 10.6227 | + | 10.6227i | 0.747413 | + | 0.747413i | ||||
\(203\) | −5.26812 | −0.369750 | ||||||||
\(204\) | 1.76582 | − | 0.720877i | 0.123632 | − | 0.0504715i | ||||
\(205\) | 1.93932 | 0.135448 | ||||||||
\(206\) | 3.84194 | + | 3.84194i | 0.267681 | + | 0.267681i | ||||
\(207\) | −17.1040 | + | 7.08470i | −1.18881 | + | 0.492421i | ||||
\(208\) | − | 14.7910i | − | 1.02557i | ||||||
\(209\) | −4.98437 | − | 12.0333i | −0.344776 | − | 0.832363i | ||||
\(210\) | −0.185304 | − | 0.0767553i | −0.0127872 | − | 0.00529662i | ||||
\(211\) | −2.54310 | + | 6.13958i | −0.175074 | + | 0.422666i | −0.986921 | − | 0.161204i | \(-0.948462\pi\) |
0.811847 | + | 0.583870i | \(0.198462\pi\) | |||||||
\(212\) | −2.72251 | + | 2.72251i | −0.186983 | + | 0.186983i | ||||
\(213\) | 3.83419 | − | 3.83419i | 0.262714 | − | 0.262714i | ||||
\(214\) | 2.41577 | − | 5.83219i | 0.165139 | − | 0.398680i | ||||
\(215\) | −0.302406 | − | 0.125261i | −0.0206239 | − | 0.00854271i | ||||
\(216\) | −3.21576 | − | 7.76354i | −0.218805 | − | 0.528242i | ||||
\(217\) | − | 4.39898i | − | 0.298622i | ||||||
\(218\) | −19.4585 | + | 8.06000i | −1.31790 | + | 0.545892i | ||||
\(219\) | −3.29575 | − | 3.29575i | −0.222706 | − | 0.222706i | ||||
\(220\) | −1.29521 | −0.0873233 | ||||||||
\(221\) | −12.4814 | − | 0.0637857i | −0.839593 | − | 0.00429069i | ||||
\(222\) | 9.19556 | 0.617166 | ||||||||
\(223\) | −20.2197 | − | 20.2197i | −1.35401 | − | 1.35401i | −0.881124 | − | 0.472885i | \(-0.843213\pi\) |
−0.472885 | − | 0.881124i | \(-0.656787\pi\) | |||||||
\(224\) | −1.79175 | + | 0.742167i | −0.119716 | + | 0.0495881i | ||||
\(225\) | 12.2917i | 0.819445i | ||||||||
\(226\) | −6.02801 | − | 14.5529i | −0.400977 | − | 0.968045i | ||||
\(227\) | 23.8421 | + | 9.87573i | 1.58246 | + | 0.655475i | 0.988800 | − | 0.149243i | \(-0.0476838\pi\) |
0.593656 | + | 0.804719i | \(0.297684\pi\) | |||||||
\(228\) | 0.385919 | − | 0.931691i | 0.0255581 | − | 0.0617027i | ||||
\(229\) | −6.57048 | + | 6.57048i | −0.434190 | + | 0.434190i | −0.890051 | − | 0.455861i | \(-0.849331\pi\) |
0.455861 | + | 0.890051i | \(0.349331\pi\) | |||||||
\(230\) | 2.78306 | − | 2.78306i | 0.183510 | − | 0.183510i | ||||
\(231\) | 0.858643 | − | 2.07295i | 0.0564946 | − | 0.136390i | ||||
\(232\) | 19.7574 | + | 8.18377i | 1.29713 | + | 0.537291i | ||||
\(233\) | 7.46254 | + | 18.0162i | 0.488887 | + | 1.18028i | 0.955281 | + | 0.295700i | \(0.0955530\pi\) |
−0.466394 | + | 0.884577i | \(0.654447\pi\) | |||||||
\(234\) | − | 12.4086i | − | 0.811176i | ||||||
\(235\) | −1.52641 | + | 0.632259i | −0.0995719 | + | 0.0412440i | ||||
\(236\) | 5.90078 | + | 5.90078i | 0.384108 | + | 0.384108i | ||||
\(237\) | −7.69375 | −0.499762 | ||||||||
\(238\) | 1.36718 | + | 3.34896i | 0.0886208 | + | 0.217081i | ||||
\(239\) | −3.87346 | −0.250554 | −0.125277 | − | 0.992122i | \(-0.539982\pi\) | ||||
−0.125277 | + | 0.992122i | \(0.539982\pi\) | |||||||
\(240\) | 0.789853 | + | 0.789853i | 0.0509848 | + | 0.0509848i | ||||
\(241\) | −11.2877 | + | 4.67553i | −0.727106 | + | 0.301177i | −0.715362 | − | 0.698754i | \(-0.753738\pi\) |
−0.0117441 | + | 0.999931i | \(0.503738\pi\) | |||||||
\(242\) | − | 40.2951i | − | 2.59026i | ||||||
\(243\) | −5.71563 | − | 13.7988i | −0.366658 | − | 0.885191i | ||||
\(244\) | −2.46874 | − | 1.02259i | −0.158045 | − | 0.0654643i | ||||
\(245\) | −0.840611 | + | 2.02942i | −0.0537047 | + | 0.129655i | ||||
\(246\) | −4.77447 | + | 4.77447i | −0.304409 | + | 0.304409i | ||||
\(247\) | −4.66652 | + | 4.66652i | −0.296924 | + | 0.296924i | ||||
\(248\) | −6.83359 | + | 16.4978i | −0.433934 | + | 1.04761i | ||||
\(249\) | 3.59766 | + | 1.49020i | 0.227992 | + | 0.0944375i | ||||
\(250\) | −2.02193 | − | 4.88136i | −0.127878 | − | 0.308725i | ||||
\(251\) | 1.28167i | 0.0808982i | 0.999182 | + | 0.0404491i | \(0.0128789\pi\) | ||||
−0.999182 | + | 0.0404491i | \(0.987121\pi\) | |||||||
\(252\) | −0.826514 | + | 0.342353i | −0.0520655 | + | 0.0215662i | ||||
\(253\) | 31.1334 | + | 31.1334i | 1.95734 | + | 1.95734i | ||||
\(254\) | 26.1834 | 1.64289 | ||||||||
\(255\) | 0.669929 | − | 0.663117i | 0.0419526 | − | 0.0415260i | ||||
\(256\) | 14.3446 | 0.896539 | ||||||||
\(257\) | −12.3644 | − | 12.3644i | −0.771271 | − | 0.771271i | 0.207058 | − | 0.978329i | \(-0.433611\pi\) |
−0.978329 | + | 0.207058i | \(0.933611\pi\) | |||||||
\(258\) | 1.05288 | − | 0.436119i | 0.0655497 | − | 0.0271516i | ||||
\(259\) | 4.33852i | 0.269582i | ||||||||
\(260\) | 0.251142 | + | 0.606310i | 0.0155752 | + | 0.0376017i | ||||
\(261\) | 22.7400 | + | 9.41923i | 1.40757 | + | 0.583036i | ||||
\(262\) | −8.50606 | + | 20.5354i | −0.525506 | + | 1.26868i | ||||
\(263\) | −10.8970 | + | 10.8970i | −0.671936 | + | 0.671936i | −0.958162 | − | 0.286226i | \(-0.907599\pi\) |
0.286226 | + | 0.958162i | \(0.407599\pi\) | |||||||
\(264\) | −6.44044 | + | 6.44044i | −0.396382 | + | 0.396382i | ||||
\(265\) | −0.728183 | + | 1.75799i | −0.0447319 | + | 0.107992i | ||||
\(266\) | 1.76699 | + | 0.731912i | 0.108341 | + | 0.0448764i | ||||
\(267\) | 1.26070 | + | 3.04359i | 0.0771533 | + | 0.186265i | ||||
\(268\) | − | 6.04934i | − | 0.369522i | ||||||
\(269\) | −21.9560 | + | 9.09445i | −1.33868 | + | 0.554499i | −0.933118 | − | 0.359570i | \(-0.882923\pi\) |
−0.405560 | + | 0.914068i | \(0.632923\pi\) | |||||||
\(270\) | 1.45394 | + | 1.45394i | 0.0884842 | + | 0.0884842i | ||||
\(271\) | −24.7707 | −1.50471 | −0.752355 | − | 0.658757i | \(-0.771082\pi\) | ||||
−0.752355 | + | 0.658757i | \(0.771082\pi\) | |||||||
\(272\) | 0.102950 | − | 20.1451i | 0.00624228 | − | 1.22147i | ||||
\(273\) | −1.13687 | −0.0688065 | ||||||||
\(274\) | −7.09957 | − | 7.09957i | −0.428901 | − | 0.428901i | ||||
\(275\) | 27.0076 | − | 11.1869i | 1.62862 | − | 0.674597i | ||||
\(276\) | 3.40901i | 0.205198i | ||||||||
\(277\) | −1.18405 | − | 2.85855i | −0.0711426 | − | 0.171753i | 0.884308 | − | 0.466903i | \(-0.154630\pi\) |
−0.955451 | + | 0.295150i | \(0.904630\pi\) | |||||||
\(278\) | −3.76343 | − | 1.55886i | −0.225716 | − | 0.0934945i | ||||
\(279\) | −7.86523 | + | 18.9883i | −0.470879 | + | 1.13680i | ||||
\(280\) | −0.271628 | + | 0.271628i | −0.0162329 | + | 0.0162329i | ||||
\(281\) | −11.9689 | + | 11.9689i | −0.714003 | + | 0.714003i | −0.967370 | − | 0.253367i | \(-0.918462\pi\) |
0.253367 | + | 0.967370i | \(0.418462\pi\) | |||||||
\(282\) | 2.20133 | − | 5.31448i | 0.131087 | − | 0.316473i | ||||
\(283\) | −4.96523 | − | 2.05667i | −0.295152 | − | 0.122256i | 0.230193 | − | 0.973145i | \(-0.426064\pi\) |
−0.525346 | + | 0.850889i | \(0.676064\pi\) | |||||||
\(284\) | 1.96766 | + | 4.75035i | 0.116759 | + | 0.281881i | ||||
\(285\) | − | 0.498395i | − | 0.0295224i | ||||||
\(286\) | −27.2646 | + | 11.2934i | −1.61219 | + | 0.667790i | ||||
\(287\) | −2.25262 | − | 2.25262i | −0.132968 | − | 0.132968i | ||||
\(288\) | 9.06112 | 0.533932 | ||||||||
\(289\) | −16.9991 | − | 0.173751i | −0.999948 | − | 0.0102206i | ||||
\(290\) | −5.23277 | −0.307279 | ||||||||
\(291\) | −2.30600 | − | 2.30600i | −0.135180 | − | 0.135180i | ||||
\(292\) | 4.08326 | − | 1.69134i | 0.238955 | − | 0.0989783i | ||||
\(293\) | 5.06070i | 0.295649i | 0.989014 | + | 0.147825i | \(0.0472272\pi\) | ||||
−0.989014 | + | 0.147825i | \(0.952773\pi\) | |||||||
\(294\) | −2.92675 | − | 7.06579i | −0.170691 | − | 0.412085i | ||||
\(295\) | 3.81028 | + | 1.57827i | 0.221843 | + | 0.0918905i | ||||
\(296\) | 6.73967 | − | 16.2710i | 0.391735 | − | 0.945733i | ||||
\(297\) | −16.2649 | + | 16.2649i | −0.943786 | + | 0.943786i | ||||
\(298\) | 22.3277 | − | 22.3277i | 1.29341 | − | 1.29341i | ||||
\(299\) | 8.53728 | − | 20.6108i | 0.493723 | − | 1.19195i | ||||
\(300\) | 2.09109 | + | 0.866157i | 0.120729 | + | 0.0500076i | ||||
\(301\) | 0.205763 | + | 0.496757i | 0.0118600 | + | 0.0286326i | ||||
\(302\) | − | 20.9498i | − | 1.20553i | ||||||
\(303\) | −5.94120 | + | 2.46093i | −0.341313 | + | 0.141376i | ||||
\(304\) | −7.53177 | − | 7.53177i | −0.431977 | − | 0.431977i | ||||
\(305\) | −1.32062 | −0.0756183 | ||||||||
\(306\) | 0.0863684 | − | 16.9004i | 0.00493735 | − | 0.966129i | ||||
\(307\) | −7.95370 | −0.453942 | −0.226971 | − | 0.973902i | \(-0.572882\pi\) | ||||
−0.226971 | + | 0.973902i | \(0.572882\pi\) | |||||||
\(308\) | 1.50446 | + | 1.50446i | 0.0857244 | + | 0.0857244i | ||||
\(309\) | −2.14876 | + | 0.890047i | −0.122239 | + | 0.0506330i | ||||
\(310\) | − | 4.36946i | − | 0.248169i | ||||||
\(311\) | −4.40264 | − | 10.6289i | −0.249651 | − | 0.602710i | 0.748524 | − | 0.663108i | \(-0.230763\pi\) |
−0.998174 | + | 0.0603978i | \(0.980763\pi\) | |||||||
\(312\) | 4.26367 | + | 1.76607i | 0.241383 | + | 0.0999840i | ||||
\(313\) | 6.05898 | − | 14.6277i | 0.342474 | − | 0.826804i | −0.654991 | − | 0.755637i | \(-0.727328\pi\) |
0.997464 | − | 0.0711674i | \(-0.0226725\pi\) | |||||||
\(314\) | 9.64916 | − | 9.64916i | 0.544534 | − | 0.544534i | ||||
\(315\) | −0.312634 | + | 0.312634i | −0.0176150 | + | 0.0176150i | ||||
\(316\) | 2.79190 | − | 6.74023i | 0.157056 | − | 0.379168i | ||||
\(317\) | −12.6327 | − | 5.23263i | −0.709522 | − | 0.293894i | −0.00141523 | − | 0.999999i | \(-0.500450\pi\) |
−0.708107 | + | 0.706105i | \(0.750450\pi\) | |||||||
\(318\) | −2.53531 | − | 6.12077i | −0.142173 | − | 0.343236i | ||||
\(319\) | − | 58.5378i | − | 3.27749i | ||||||
\(320\) | 1.17536 | − | 0.486852i | 0.0657048 | − | 0.0272158i | ||||
\(321\) | 1.91077 | + | 1.91077i | 0.106649 | + | 0.106649i | ||||
\(322\) | −6.46533 | −0.360299 | ||||||||
\(323\) | −6.38822 | + | 6.32326i | −0.355450 | + | 0.351835i | ||||
\(324\) | 3.21051 | 0.178361 | ||||||||
\(325\) | −10.4735 | − | 10.4735i | −0.580968 | − | 0.580968i | ||||
\(326\) | 22.0504 | − | 9.13359i | 1.22126 | − | 0.505863i | ||||
\(327\) | − | 9.01576i | − | 0.498573i | ||||||
\(328\) | 4.94881 | + | 11.9475i | 0.273252 | + | 0.659689i | ||||
\(329\) | 2.50740 | + | 1.03860i | 0.138238 | + | 0.0572599i | ||||
\(330\) | 0.852881 | − | 2.05904i | 0.0469496 | − | 0.113346i | ||||
\(331\) | 20.4194 | − | 20.4194i | 1.12235 | − | 1.12235i | 0.130963 | − | 0.991387i | \(-0.458193\pi\) |
0.991387 | − | 0.130963i | \(-0.0418070\pi\) | |||||||
\(332\) | −2.61103 | + | 2.61103i | −0.143299 | + | 0.143299i | ||||
\(333\) | 7.75713 | − | 18.7274i | 0.425088 | − | 1.02625i | ||||
\(334\) | −35.2836 | − | 14.6149i | −1.93063 | − | 0.799693i | ||||
\(335\) | −1.14410 | − | 2.76210i | −0.0625089 | − | 0.150910i | ||||
\(336\) | − | 1.83491i | − | 0.100103i | ||||||
\(337\) | −11.3617 | + | 4.70618i | −0.618913 | + | 0.256362i | −0.670034 | − | 0.742330i | \(-0.733721\pi\) |
0.0511211 | + | 0.998692i | \(0.483721\pi\) | |||||||
\(338\) | −4.42564 | − | 4.42564i | −0.240723 | − | 0.240723i | ||||
\(339\) | 6.74282 | 0.366220 | ||||||||
\(340\) | 0.337832 | + | 0.827534i | 0.0183215 | + | 0.0448793i | ||||
\(341\) | 48.8801 | 2.64701 | ||||||||
\(342\) | −6.31865 | − | 6.31865i | −0.341673 | − | 0.341673i | ||||
\(343\) | 6.81098 | − | 2.82120i | 0.367758 | − | 0.152330i | ||||
\(344\) | − | 2.18266i | − | 0.117681i | ||||||
\(345\) | 0.644740 | + | 1.55654i | 0.0347116 | + | 0.0838013i | ||||
\(346\) | 4.62786 | + | 1.91692i | 0.248795 | + | 0.103054i | ||||
\(347\) | −2.33375 | + | 5.63417i | −0.125282 | + | 0.302458i | −0.974059 | − | 0.226293i | \(-0.927339\pi\) |
0.848777 | + | 0.528751i | \(0.177339\pi\) | |||||||
\(348\) | 3.20484 | − | 3.20484i | 0.171798 | − | 0.171798i | ||||
\(349\) | 0.0592157 | − | 0.0592157i | 0.00316974 | − | 0.00316974i | −0.705520 | − | 0.708690i | \(-0.749287\pi\) |
0.708690 | + | 0.705520i | \(0.249287\pi\) | |||||||
\(350\) | −1.64271 | + | 3.96584i | −0.0878063 | + | 0.211983i | ||||
\(351\) | 10.7676 | + | 4.46010i | 0.574733 | + | 0.238062i | ||||
\(352\) | −8.24673 | − | 19.9094i | −0.439552 | − | 1.06117i | ||||
\(353\) | 8.41416i | 0.447841i | 0.974607 | + | 0.223920i | \(0.0718855\pi\) | ||||
−0.974607 | + | 0.223920i | \(0.928114\pi\) | |||||||
\(354\) | −13.2662 | + | 5.49505i | −0.705092 | + | 0.292058i | ||||
\(355\) | 1.79685 | + | 1.79685i | 0.0953670 | + | 0.0953670i | ||||
\(356\) | −3.12387 | −0.165565 | ||||||||
\(357\) | −1.54840 | − | 0.00791302i | −0.0819501 | − | 0.000418801i | ||||
\(358\) | −26.6026 | −1.40599 | ||||||||
\(359\) | −14.6139 | − | 14.6139i | −0.771290 | − | 0.771290i | 0.207042 | − | 0.978332i | \(-0.433616\pi\) |
−0.978332 | + | 0.207042i | \(0.933616\pi\) | |||||||
\(360\) | 1.65815 | − | 0.686830i | 0.0873924 | − | 0.0361991i | ||||
\(361\) | − | 14.2475i | − | 0.749867i | ||||||
\(362\) | −7.38117 | − | 17.8197i | −0.387946 | − | 0.936584i | ||||
\(363\) | 15.9358 | + | 6.60083i | 0.836414 | + | 0.346454i | ||||
\(364\) | 0.412546 | − | 0.995974i | 0.0216233 | − | 0.0522032i | ||||
\(365\) | 1.54452 | − | 1.54452i | 0.0808439 | − | 0.0808439i | ||||
\(366\) | 3.25126 | − | 3.25126i | 0.169946 | − | 0.169946i | ||||
\(367\) | −7.91202 | + | 19.1013i | −0.413004 | + | 0.997080i | 0.571322 | + | 0.820726i | \(0.306431\pi\) |
−0.984327 | + | 0.176355i | \(0.943569\pi\) | |||||||
\(368\) | 33.2659 | + | 13.7792i | 1.73410 | + | 0.718289i | ||||
\(369\) | 5.69591 | + | 13.7511i | 0.296517 | + | 0.715855i | ||||
\(370\) | 4.30940i | 0.224035i | ||||||||
\(371\) | 2.88782 | − | 1.19617i | 0.149928 | − | 0.0621022i | ||||
\(372\) | 2.67610 | + | 2.67610i | 0.138749 | + | 0.138749i | ||||
\(373\) | −6.08555 | −0.315098 | −0.157549 | − | 0.987511i | \(-0.550359\pi\) | ||||
−0.157549 | + | 0.987511i | \(0.550359\pi\) | |||||||
\(374\) | −37.2126 | + | 15.1916i | −1.92422 | + | 0.785540i | ||||
\(375\) | 2.26169 | 0.116793 | ||||||||
\(376\) | −7.79025 | − | 7.79025i | −0.401751 | − | 0.401751i | ||||
\(377\) | −27.4024 | + | 11.3505i | −1.41130 | + | 0.584578i | ||||
\(378\) | − | 3.37766i | − | 0.173728i | ||||||
\(379\) | 4.97969 | + | 12.0220i | 0.255789 | + | 0.617530i | 0.998652 | − | 0.0519141i | \(-0.0165322\pi\) |
−0.742862 | + | 0.669444i | \(0.766532\pi\) | |||||||
\(380\) | 0.436627 | + | 0.180857i | 0.0223985 | + | 0.00927776i | ||||
\(381\) | −4.28916 | + | 10.3550i | −0.219740 | + | 0.530500i | ||||
\(382\) | 7.92012 | − | 7.92012i | 0.405229 | − | 0.405229i | ||||
\(383\) | −6.02568 | + | 6.02568i | −0.307898 | + | 0.307898i | −0.844094 | − | 0.536196i | \(-0.819861\pi\) |
0.536196 | + | 0.844094i | \(0.319861\pi\) | |||||||
\(384\) | −3.62321 | + | 8.74720i | −0.184896 | + | 0.446379i | ||||
\(385\) | 0.971465 | + | 0.402394i | 0.0495105 | + | 0.0205079i | ||||
\(386\) | 11.0741 | + | 26.7353i | 0.563658 | + | 1.36079i | ||||
\(387\) | − | 2.51217i | − | 0.127701i | ||||||
\(388\) | 2.85701 | − | 1.18341i | 0.145042 | − | 0.0600786i | ||||
\(389\) | −3.45704 | − | 3.45704i | −0.175279 | − | 0.175279i | 0.614015 | − | 0.789294i | \(-0.289553\pi\) |
−0.789294 | + | 0.614015i | \(0.789553\pi\) | |||||||
\(390\) | −1.12924 | −0.0571813 | ||||||||
\(391\) | 11.7711 | − | 28.0122i | 0.595291 | − | 1.41664i | ||||
\(392\) | −14.6476 | −0.739815 | ||||||||
\(393\) | −6.72792 | − | 6.72792i | −0.339379 | − | 0.339379i | ||||
\(394\) | 4.24260 | − | 1.75734i | 0.213739 | − | 0.0885336i | ||||
\(395\) | − | 3.60559i | − | 0.181417i | ||||||
\(396\) | −3.80412 | − | 9.18396i | −0.191164 | − | 0.461512i | ||||
\(397\) | −2.04767 | − | 0.848174i | −0.102770 | − | 0.0425686i | 0.330706 | − | 0.943734i | \(-0.392713\pi\) |
−0.433476 | + | 0.901165i | \(0.642713\pi\) | |||||||
\(398\) | 11.8455 | − | 28.5976i | 0.593762 | − | 1.43347i | ||||
\(399\) | −0.578911 | + | 0.578911i | −0.0289818 | + | 0.0289818i | ||||
\(400\) | 16.9043 | − | 16.9043i | 0.845216 | − | 0.845216i | ||||
\(401\) | −11.0745 | + | 26.7363i | −0.553036 | + | 1.33515i | 0.362152 | + | 0.932119i | \(0.382042\pi\) |
−0.915188 | + | 0.403027i | \(0.867958\pi\) | |||||||
\(402\) | 9.61679 | + | 3.98340i | 0.479642 | + | 0.198674i | ||||
\(403\) | −9.47784 | − | 22.8815i | −0.472125 | − | 1.13981i | ||||
\(404\) | − | 6.09790i | − | 0.303382i | ||||||
\(405\) | 1.46591 | − | 0.607198i | 0.0728414 | − | 0.0301719i | ||||
\(406\) | 6.07813 | + | 6.07813i | 0.301653 | + | 0.301653i | ||||
\(407\) | −48.2083 | −2.38960 | ||||||||
\(408\) | 5.79477 | + | 2.43504i | 0.286884 | + | 0.120552i | ||||
\(409\) | 37.0789 | 1.83343 | 0.916717 | − | 0.399537i | \(-0.130829\pi\) | ||||
0.916717 | + | 0.399537i | \(0.130829\pi\) | |||||||
\(410\) | −2.23750 | − | 2.23750i | −0.110502 | − | 0.110502i | ||||
\(411\) | 3.97072 | − | 1.64473i | 0.195861 | − | 0.0811284i | ||||
\(412\) | − | 2.20544i | − | 0.108654i | ||||||
\(413\) | −2.59260 | − | 6.25908i | −0.127573 | − | 0.307989i | ||||
\(414\) | 27.9078 | + | 11.5598i | 1.37160 | + | 0.568133i | ||||
\(415\) | −0.698366 | + | 1.68601i | −0.0342815 | + | 0.0827628i | ||||
\(416\) | −7.72084 | + | 7.72084i | −0.378545 | + | 0.378545i | ||||
\(417\) | 1.23299 | − | 1.23299i | 0.0603800 | − | 0.0603800i | ||||
\(418\) | −8.13278 | + | 19.6343i | −0.397787 | + | 0.960344i | ||||
\(419\) | −21.0814 | − | 8.73221i | −1.02990 | − | 0.426597i | −0.197221 | − | 0.980359i | \(-0.563191\pi\) |
−0.832675 | + | 0.553763i | \(0.813191\pi\) | |||||||
\(420\) | 0.0311557 | + | 0.0752165i | 0.00152024 | + | 0.00367019i | ||||
\(421\) | 11.2815i | 0.549828i | 0.961469 | + | 0.274914i | \(0.0886494\pi\) | ||||
−0.961469 | + | 0.274914i | \(0.911351\pi\) | |||||||
\(422\) | 10.0177 | − | 4.14946i | 0.487654 | − | 0.201993i | ||||
\(423\) | −8.96631 | − | 8.96631i | −0.435957 | − | 0.435957i | ||||
\(424\) | −12.6885 | −0.616210 | ||||||||
\(425\) | −14.1919 | − | 14.3377i | −0.688410 | − | 0.695482i | ||||
\(426\) | −8.84743 | −0.428660 | ||||||||
\(427\) | 1.53396 | + | 1.53396i | 0.0742337 | + | 0.0742337i | ||||
\(428\) | −2.36734 | + | 0.980584i | −0.114430 | + | 0.0473983i | ||||
\(429\) | − | 12.6325i | − | 0.609905i | ||||||
\(430\) | 0.204383 | + | 0.493423i | 0.00985620 | + | 0.0237950i | ||||
\(431\) | 30.6132 | + | 12.6804i | 1.47458 | + | 0.610793i | 0.967899 | − | 0.251339i | \(-0.0808709\pi\) |
0.506685 | + | 0.862132i | \(0.330871\pi\) | |||||||
\(432\) | −7.19860 | + | 17.3790i | −0.346343 | + | 0.836146i | ||||
\(433\) | 25.5113 | − | 25.5113i | 1.22599 | − | 1.22599i | 0.260529 | − | 0.965466i | \(-0.416103\pi\) |
0.965466 | − | 0.260529i | \(-0.0838968\pi\) | |||||||
\(434\) | −5.07535 | + | 5.07535i | −0.243624 | + | 0.243624i | ||||
\(435\) | 0.857193 | − | 2.06945i | 0.0410993 | − | 0.0992224i | ||||
\(436\) | 7.89841 | + | 3.27163i | 0.378265 | + | 0.156683i | ||||
\(437\) | −6.14802 | − | 14.8426i | −0.294100 | − | 0.710020i | ||||
\(438\) | 7.60499i | 0.363381i | ||||||||
\(439\) | 34.3548 | − | 14.2302i | 1.63967 | − | 0.679172i | 0.643402 | − | 0.765529i | \(-0.277523\pi\) |
0.996264 | + | 0.0863569i | \(0.0275225\pi\) | |||||||
\(440\) | −3.01825 | − | 3.01825i | −0.143889 | − | 0.143889i | ||||
\(441\) | −16.8589 | −0.802804 | ||||||||
\(442\) | 14.3269 | + | 14.4741i | 0.681463 | + | 0.688464i | ||||
\(443\) | 1.24983 | 0.0593814 | 0.0296907 | − | 0.999559i | \(-0.490548\pi\) | ||||
0.0296907 | + | 0.999559i | \(0.490548\pi\) | |||||||
\(444\) | −2.63932 | − | 2.63932i | −0.125257 | − | 0.125257i | ||||
\(445\) | −1.42635 | + | 0.590812i | −0.0676153 | + | 0.0280072i | ||||
\(446\) | 46.6571i | 2.20928i | ||||||||
\(447\) | 5.17256 | + | 12.4877i | 0.244654 | + | 0.590646i | ||||
\(448\) | −1.93075 | − | 0.799742i | −0.0912192 | − | 0.0377842i | ||||
\(449\) | −7.88708 | + | 19.0411i | −0.372214 | + | 0.898605i | 0.621160 | + | 0.783684i | \(0.286662\pi\) |
−0.993375 | + | 0.114921i | \(0.963338\pi\) | |||||||
\(450\) | 14.1816 | − | 14.1816i | 0.668527 | − | 0.668527i | ||||
\(451\) | 25.0304 | − | 25.0304i | 1.17864 | − | 1.17864i | ||||
\(452\) | −2.44683 | + | 5.90716i | −0.115089 | + | 0.277850i | ||||
\(453\) | 8.28521 | + | 3.43185i | 0.389273 | + | 0.161242i | ||||
\(454\) | −16.1138 | − | 38.9022i | −0.756258 | − | 1.82577i | ||||
\(455\) | − | 0.532782i | − | 0.0249772i | ||||||
\(456\) | 3.07043 | − | 1.27182i | 0.143786 | − | 0.0595582i | ||||
\(457\) | −3.75562 | − | 3.75562i | −0.175680 | − | 0.175680i | 0.613789 | − | 0.789470i | \(-0.289644\pi\) |
−0.789470 | + | 0.613789i | \(0.789644\pi\) | |||||||
\(458\) | 15.1615 | 0.708449 | ||||||||
\(459\) | 14.6343 | + | 6.14954i | 0.683071 | + | 0.287036i | ||||
\(460\) | −1.59760 | −0.0744883 | ||||||||
\(461\) | −7.16371 | − | 7.16371i | −0.333647 | − | 0.333647i | 0.520323 | − | 0.853970i | \(-0.325812\pi\) |
−0.853970 | + | 0.520323i | \(0.825812\pi\) | |||||||
\(462\) | −3.38234 | + | 1.40101i | −0.157361 | + | 0.0651809i | ||||
\(463\) | − | 31.3449i | − | 1.45672i | −0.685194 | − | 0.728360i | \(-0.740283\pi\) | ||
0.685194 | − | 0.728360i | \(-0.259717\pi\) | |||||||
\(464\) | −18.3197 | − | 44.2276i | −0.850469 | − | 2.05321i | ||||
\(465\) | 1.72803 | + | 0.715772i | 0.0801353 | + | 0.0331931i | ||||
\(466\) | 12.1763 | − | 29.3962i | 0.564056 | − | 1.36175i | ||||
\(467\) | −19.4068 | + | 19.4068i | −0.898037 | + | 0.898037i | −0.995262 | − | 0.0972251i | \(-0.969003\pi\) |
0.0972251 | + | 0.995262i | \(0.469003\pi\) | |||||||
\(468\) | −3.56154 | + | 3.56154i | −0.164632 | + | 0.164632i | ||||
\(469\) | −1.87939 | + | 4.53726i | −0.0867823 | + | 0.209511i | ||||
\(470\) | 2.49058 | + | 1.03163i | 0.114882 | + | 0.0475856i | ||||
\(471\) | 2.23538 | + | 5.39669i | 0.103001 | + | 0.248666i | ||||
\(472\) | 27.5013i | 1.26585i | ||||||||
\(473\) | −5.51981 | + | 2.28638i | −0.253801 | + | 0.105128i | ||||
\(474\) | 8.87670 | + | 8.87670i | 0.407721 | + | 0.407721i | ||||
\(475\) | −10.6666 | −0.489416 | ||||||||
\(476\) | 0.568814 | − | 1.35363i | 0.0260715 | − | 0.0620436i | ||||
\(477\) | −14.6041 | −0.668675 | ||||||||
\(478\) | 4.46903 | + | 4.46903i | 0.204409 | + | 0.204409i | ||||
\(479\) | −28.5871 | + | 11.8412i | −1.30618 | + | 0.541037i | −0.923767 | − | 0.382954i | \(-0.874907\pi\) |
−0.382413 | + | 0.923992i | \(0.624907\pi\) | |||||||
\(480\) | − | 0.824603i | − | 0.0376378i | ||||||
\(481\) | 9.34757 | + | 22.5670i | 0.426212 | + | 1.02897i | ||||
\(482\) | 18.4177 | + | 7.62886i | 0.838903 | + | 0.347485i | ||||
\(483\) | 1.05910 | − | 2.55690i | 0.0481908 | − | 0.116343i | ||||
\(484\) | −11.5655 | + | 11.5655i | −0.525706 | + | 0.525706i | ||||
\(485\) | 1.08068 | − | 1.08068i | 0.0490712 | − | 0.0490712i | ||||
\(486\) | −9.32595 | + | 22.5148i | −0.423034 | + | 1.02129i | ||||
\(487\) | −18.6601 | − | 7.72929i | −0.845572 | − | 0.350247i | −0.0825238 | − | 0.996589i | \(-0.526298\pi\) |
−0.763048 | + | 0.646342i | \(0.776298\pi\) | |||||||
\(488\) | −3.36998 | − | 8.13585i | −0.152552 | − | 0.368293i | ||||
\(489\) | 10.2167i | 0.462014i | ||||||||
\(490\) | 3.31131 | − | 1.37159i | 0.149590 | − | 0.0619621i | ||||
\(491\) | 4.00630 | + | 4.00630i | 0.180802 | + | 0.180802i | 0.791705 | − | 0.610903i | \(-0.209194\pi\) |
−0.610903 | + | 0.791705i | \(0.709194\pi\) | |||||||
\(492\) | 2.74075 | 0.123562 | ||||||||
\(493\) | −37.4007 | + | 15.2684i | −1.68444 | + | 0.687656i | ||||
\(494\) | 10.7680 | 0.484477 | ||||||||
\(495\) | −3.47390 | − | 3.47390i | −0.156140 | − | 0.156140i | ||||
\(496\) | 36.9308 | − | 15.2972i | 1.65824 | − | 0.686867i | ||||
\(497\) | − | 4.17427i | − | 0.187242i | ||||||
\(498\) | −2.43149 | − | 5.87015i | −0.108958 | − | 0.263048i | ||||
\(499\) | −12.6303 | − | 5.23164i | −0.565410 | − | 0.234201i | 0.0816219 | − | 0.996663i | \(-0.473990\pi\) |
−0.647032 | + | 0.762463i | \(0.723990\pi\) | |||||||
\(500\) | −0.820720 | + | 1.98139i | −0.0367037 | + | 0.0886106i | ||||
\(501\) | 11.5598 | − | 11.5598i | 0.516453 | − | 0.516453i | ||||
\(502\) | 1.47873 | − | 1.47873i | 0.0659991 | − | 0.0659991i | ||||
\(503\) | −11.0296 | + | 26.6278i | −0.491786 | + | 1.18728i | 0.462025 | + | 0.886867i | \(0.347123\pi\) |
−0.953811 | + | 0.300409i | \(0.902877\pi\) | |||||||
\(504\) | −2.72382 | − | 1.12824i | −0.121328 | − | 0.0502559i | ||||
\(505\) | −1.15329 | − | 2.78428i | −0.0513206 | − | 0.123899i | ||||
\(506\) | − | 71.8408i | − | 3.19371i | ||||||
\(507\) | 2.47522 | − | 1.02527i | 0.109928 | − | 0.0455338i | ||||
\(508\) | −7.51518 | − | 7.51518i | −0.333432 | − | 0.333432i | ||||
\(509\) | 4.01945 | 0.178159 | 0.0890795 | − | 0.996025i | \(-0.471607\pi\) | ||||
0.0890795 | + | 0.996025i | \(0.471607\pi\) | |||||||
\(510\) | −1.53801 | − | 0.00785991i | −0.0681042 | − | 0.000348043i | ||||
\(511\) | −3.58808 | −0.158727 | ||||||||
\(512\) | 2.62027 | + | 2.62027i | 0.115801 | + | 0.115801i | ||||
\(513\) | 7.75418 | − | 3.21189i | 0.342355 | − | 0.141808i | ||||
\(514\) | 28.5310i | 1.25845i | ||||||||
\(515\) | −0.417111 | − | 1.00700i | −0.0183801 | − | 0.0443735i | ||||
\(516\) | −0.427376 | − | 0.177025i | −0.0188142 | − | 0.00779308i | ||||
\(517\) | −11.5406 | + | 27.8615i | −0.507555 | + | 1.22535i | ||||
\(518\) | 5.00559 | − | 5.00559i | 0.219933 | − | 0.219933i | ||||
\(519\) | −1.51620 | + | 1.51620i | −0.0665539 | + | 0.0665539i | ||||
\(520\) | −0.827650 | + | 1.99812i | −0.0362949 | + | 0.0876236i | ||||
\(521\) | 6.79537 | + | 2.81474i | 0.297711 | + | 0.123316i | 0.526539 | − | 0.850151i | \(-0.323489\pi\) |
−0.228828 | + | 0.973467i | \(0.573489\pi\) | |||||||
\(522\) | −15.3690 | − | 37.1040i | −0.672681 | − | 1.62400i | ||||
\(523\) | 15.8427i | 0.692754i | 0.938095 | + | 0.346377i | \(0.112588\pi\) | ||||
−0.938095 | + | 0.346377i | \(0.887412\pi\) | |||||||
\(524\) | 8.33553 | − | 3.45269i | 0.364139 | − | 0.150831i | ||||
\(525\) | −1.29931 | − | 1.29931i | −0.0567065 | − | 0.0567065i | ||||
\(526\) | 25.1449 | 1.09637 | ||||||||
\(527\) | −12.7494 | − | 31.2303i | −0.555373 | − | 1.36041i | ||||
\(528\) | 20.3889 | 0.887315 | ||||||||
\(529\) | 22.1384 | + | 22.1384i | 0.962539 | + | 0.962539i | ||||
\(530\) | 2.86844 | − | 1.18815i | 0.124597 | − | 0.0516097i | ||||
\(531\) | 31.6530i | 1.37362i | ||||||||
\(532\) | −0.297090 | − | 0.717239i | −0.0128805 | − | 0.0310963i | ||||
\(533\) | −16.5705 | − | 6.86374i | −0.717749 | − | 0.297301i | ||||
\(534\) | 2.05702 | − | 4.96609i | 0.0890161 | − | 0.214904i | ||||
\(535\) | −0.895462 | + | 0.895462i | −0.0387142 | + | 0.0387142i | ||||
\(536\) | 14.0968 | − | 14.0968i | 0.608889 | − | 0.608889i | ||||
\(537\) | 4.35783 | − | 10.5207i | 0.188054 | − | 0.454003i | ||||
\(538\) | 35.8246 | + | 14.8390i | 1.54451 | + | 0.639756i | ||||
\(539\) | 15.3436 | + | 37.0428i | 0.660898 | + | 1.59555i | ||||
\(540\) | − | 0.834626i | − | 0.0359166i | ||||||
\(541\) | −34.0066 | + | 14.0860i | −1.46206 | + | 0.605605i | −0.965032 | − | 0.262130i | \(-0.915575\pi\) |
−0.497027 | + | 0.867735i | \(0.665575\pi\) | |||||||
\(542\) | 28.5793 | + | 28.5793i | 1.22759 | + | 1.22759i | ||||
\(543\) | 8.25645 | 0.354318 | ||||||||
\(544\) | −10.5694 | + | 10.4619i | −0.453160 | + | 0.448552i | ||||
\(545\) | 4.22514 | 0.180985 | ||||||||
\(546\) | 1.31167 | + | 1.31167i | 0.0561343 | + | 0.0561343i | ||||
\(547\) | −19.8639 | + | 8.22792i | −0.849321 | + | 0.351800i | −0.764522 | − | 0.644598i | \(-0.777025\pi\) |
−0.0847992 | + | 0.996398i | \(0.527025\pi\) | |||||||
\(548\) | 4.07546i | 0.174095i | ||||||||
\(549\) | −3.87873 | − | 9.36408i | −0.165540 | − | 0.399649i | ||||
\(550\) | −44.0672 | − | 18.2532i | −1.87903 | − | 0.778321i | ||||
\(551\) | −8.17390 | + | 19.7335i | −0.348220 | + | 0.840677i | ||||
\(552\) | −7.94403 | + | 7.94403i | −0.338120 | + | 0.338120i | ||||
\(553\) | −4.18808 | + | 4.18808i | −0.178095 | + | 0.178095i | ||||
\(554\) | −1.93196 | + | 4.66417i | −0.0820812 | + | 0.198162i | ||||
\(555\) | −1.70428 | − | 0.705934i | −0.0723425 | − | 0.0299652i | ||||
\(556\) | 0.632758 | + | 1.52761i | 0.0268349 | + | 0.0647852i | ||||
\(557\) | − | 8.88046i | − | 0.376277i | −0.982142 | − | 0.188139i | \(-0.939755\pi\) | ||
0.982142 | − | 0.188139i | \(-0.0602454\pi\) | |||||||
\(558\) | 30.9825 | − | 12.8334i | 1.31159 | − | 0.543279i | ||||
\(559\) | 2.14058 | + | 2.14058i | 0.0905368 | + | 0.0905368i | ||||
\(560\) | 0.859911 | 0.0363379 | ||||||||
\(561\) | 0.0879270 | − | 17.2053i | 0.00371228 | − | 0.726410i | ||||
\(562\) | 27.6183 | 1.16501 | ||||||||
\(563\) | 30.9006 | + | 30.9006i | 1.30230 | + | 1.30230i | 0.926835 | + | 0.375469i | \(0.122518\pi\) |
0.375469 | + | 0.926835i | \(0.377482\pi\) | |||||||
\(564\) | −2.15720 | + | 0.893541i | −0.0908344 | + | 0.0376248i | ||||
\(565\) | 3.15995i | 0.132940i | ||||||||
\(566\) | 3.35578 | + | 8.10156i | 0.141054 | + | 0.340534i | ||||
\(567\) | −2.40801 | − | 0.997432i | −0.101127 | − | 0.0418882i | ||||
\(568\) | −6.48452 | + | 15.6550i | −0.272084 | + | 0.656870i | ||||
\(569\) | 1.67923 | − | 1.67923i | 0.0703970 | − | 0.0703970i | −0.671032 | − | 0.741429i | \(-0.734149\pi\) |
0.741429 | + | 0.671032i | \(0.234149\pi\) | |||||||
\(570\) | −0.575026 | + | 0.575026i | −0.0240852 | + | 0.0240852i | ||||
\(571\) | −15.1196 | + | 36.5020i | −0.632736 | + | 1.52756i | 0.203434 | + | 0.979089i | \(0.434790\pi\) |
−0.836170 | + | 0.548471i | \(0.815210\pi\) | |||||||
\(572\) | 11.0670 | + | 4.58408i | 0.462732 | + | 0.191670i | ||||
\(573\) | 1.83482 | + | 4.42965i | 0.0766508 | + | 0.185051i | ||||
\(574\) | 5.19795i | 0.216958i | ||||||||
\(575\) | 33.3129 | − | 13.7986i | 1.38924 | − | 0.575443i | ||||
\(576\) | 6.90423 | + | 6.90423i | 0.287676 | + | 0.287676i | ||||
\(577\) | 0.0418987 | 0.00174427 | 0.000872133 | − | 1.00000i | \(-0.499722\pi\) | ||||
0.000872133 | 1.00000i | \(0.499722\pi\) | ||||||||
\(578\) | 19.4124 | + | 19.8133i | 0.807448 | + | 0.824124i | ||||
\(579\) | −12.3873 | −0.514799 | ||||||||
\(580\) | 1.50192 | + | 1.50192i | 0.0623637 | + | 0.0623637i | ||||
\(581\) | 2.76957 | − | 1.14719i | 0.114901 | − | 0.0475936i | ||||
\(582\) | 5.32112i | 0.220567i | ||||||||
\(583\) | 13.2915 | + | 32.0885i | 0.550478 | + | 1.32897i | ||||
\(584\) | 13.4566 | + | 5.57390i | 0.556838 | + | 0.230650i | ||||
\(585\) | −0.952597 | + | 2.29977i | −0.0393850 | + | 0.0950839i | ||||
\(586\) | 5.83882 | − | 5.83882i | 0.241199 | − | 0.241199i | ||||
\(587\) | 27.2656 | − | 27.2656i | 1.12537 | − | 1.12537i | 0.134453 | − | 0.990920i | \(-0.457072\pi\) |
0.990920 | − | 0.134453i | \(-0.0429278\pi\) | |||||||
\(588\) | −1.18799 | + | 2.86807i | −0.0489921 | + | 0.118277i | ||||
\(589\) | −16.4779 | − | 6.82536i | −0.678959 | − | 0.281234i | ||||
\(590\) | −2.57520 | − | 6.21707i | −0.106019 | − | 0.255953i | ||||
\(591\) | 1.96573i | 0.0808593i | ||||||||
\(592\) | −36.4232 | + | 15.0870i | −1.49699 | + | 0.620072i | ||||
\(593\) | −20.5224 | − | 20.5224i | −0.842753 | − | 0.842753i | 0.146463 | − | 0.989216i | \(-0.453211\pi\) |
−0.989216 | + | 0.146463i | \(0.953211\pi\) | |||||||
\(594\) | 37.5315 | 1.53994 | ||||||||
\(595\) | 0.00370835 | − | 0.725642i | 0.000152028 | − | 0.0297484i | ||||
\(596\) | −12.8170 | −0.525006 | ||||||||
\(597\) | 9.36929 | + | 9.36929i | 0.383460 | + | 0.383460i | ||||
\(598\) | −33.6298 | + | 13.9299i | −1.37522 | + | 0.569636i | ||||
\(599\) | 6.72419i | 0.274743i | 0.990520 | + | 0.137372i | \(0.0438654\pi\) | ||||
−0.990520 | + | 0.137372i | \(0.956135\pi\) | |||||||
\(600\) | 2.85446 | + | 6.89129i | 0.116533 | + | 0.281336i | ||||
\(601\) | 40.1868 | + | 16.6459i | 1.63925 | + | 0.679002i | 0.996222 | − | 0.0868376i | \(-0.0276761\pi\) |
0.643032 | + | 0.765839i | \(0.277676\pi\) | |||||||
\(602\) | 0.335735 | − | 0.810537i | 0.0136835 | − | 0.0330350i | ||||
\(603\) | 16.2249 | − | 16.2249i | 0.660730 | − | 0.660730i | ||||
\(604\) | −6.01305 | + | 6.01305i | −0.244668 | + | 0.244668i | ||||
\(605\) | −3.09341 | + | 7.46816i | −0.125765 | + | 0.303624i | ||||
\(606\) | 9.69400 | + | 4.01539i | 0.393792 | + | 0.163114i | ||||
\(607\) | −0.513115 | − | 1.23877i | −0.0208267 | − | 0.0502800i | 0.913124 | − | 0.407682i | \(-0.133663\pi\) |
−0.933951 | + | 0.357402i | \(0.883663\pi\) | |||||||
\(608\) | 7.86313i | 0.318892i | ||||||||
\(609\) | −3.39944 | + | 1.40809i | −0.137752 | + | 0.0570589i | ||||
\(610\) | 1.52367 | + | 1.52367i | 0.0616916 | + | 0.0616916i | ||||
\(611\) | 15.2801 | 0.618167 | ||||||||
\(612\) | −4.87555 | + | 4.82597i | −0.197083 | + | 0.195078i | ||||
\(613\) | −8.39331 | −0.339003 | −0.169501 | − | 0.985530i | \(-0.554216\pi\) | ||||
−0.169501 | + | 0.985530i | \(0.554216\pi\) | |||||||
\(614\) | 9.17663 | + | 9.17663i | 0.370339 | + | 0.370339i | ||||
\(615\) | 1.25142 | − | 0.518353i | 0.0504620 | − | 0.0209020i | ||||
\(616\) | 7.01169i | 0.282509i | ||||||||
\(617\) | 2.61672 | + | 6.31733i | 0.105345 | + | 0.254326i | 0.967759 | − | 0.251878i | \(-0.0810482\pi\) |
−0.862414 | + | 0.506204i | \(0.831048\pi\) | |||||||
\(618\) | 3.50605 | + | 1.45225i | 0.141034 | + | 0.0584181i | ||||
\(619\) | 11.9922 | − | 28.9517i | 0.482007 | − | 1.16367i | −0.476648 | − | 0.879094i | \(-0.658148\pi\) |
0.958654 | − | 0.284573i | \(-0.0918518\pi\) | |||||||
\(620\) | −1.25413 | + | 1.25413i | −0.0503670 | + | 0.0503670i | ||||
\(621\) | −20.0621 | + | 20.0621i | −0.805066 | + | 0.805066i | ||||
\(622\) | −7.18360 | + | 17.3427i | −0.288036 | + | 0.695381i | ||||
\(623\) | 2.34303 | + | 0.970515i | 0.0938716 | + | 0.0388829i | ||||
\(624\) | −3.95341 | − | 9.54438i | −0.158263 | − | 0.382081i | ||||
\(625\) | − | 23.4044i | − | 0.936175i | ||||||
\(626\) | −23.8673 | + | 9.88617i | −0.953930 | + | 0.395131i | ||||
\(627\) | −6.43268 | − | 6.43268i | −0.256896 | − | 0.256896i | ||||
\(628\) | −5.53903 | −0.221031 | ||||||||
\(629\) | 12.5742 | + | 30.8010i | 0.501366 | + | 1.22812i | ||||
\(630\) | 0.721408 | 0.0287416 | ||||||||
\(631\) | −9.01190 | − | 9.01190i | −0.358758 | − | 0.358758i | 0.504597 | − | 0.863355i | \(-0.331641\pi\) |
−0.863355 | + | 0.504597i | \(0.831641\pi\) | |||||||
\(632\) | 22.2128 | − | 9.20084i | 0.883577 | − | 0.365990i | ||||
\(633\) | 4.64151i | 0.184484i | ||||||||
\(634\) | 8.53785 | + | 20.6122i | 0.339082 | + | 0.818615i | ||||
\(635\) | −4.85274 | − | 2.01007i | −0.192575 | − | 0.0797672i | ||||
\(636\) | −1.02911 | + | 2.48448i | −0.0408067 | + | 0.0985160i | ||||
\(637\) | 14.3652 | − | 14.3652i | 0.569170 | − | 0.569170i | ||||
\(638\) | −67.5383 | + | 67.5383i | −2.67387 | + | 2.67387i | ||||
\(639\) | −7.46346 | + | 18.0184i | −0.295250 | + | 0.712796i | ||||
\(640\) | −4.09928 | − | 1.69798i | −0.162038 | − | 0.0671185i | ||||
\(641\) | −8.63996 | − | 20.8587i | −0.341258 | − | 0.823870i | −0.997589 | − | 0.0693968i | \(-0.977893\pi\) |
0.656331 | − | 0.754473i | \(-0.272107\pi\) | |||||||
\(642\) | − | 4.40912i | − | 0.174014i | ||||||
\(643\) | −36.4120 | + | 15.0823i | −1.43595 | + | 0.594789i | −0.958812 | − | 0.284040i | \(-0.908325\pi\) |
−0.477136 | + | 0.878829i | \(0.658325\pi\) | |||||||
\(644\) | 1.85569 | + | 1.85569i | 0.0731244 | + | 0.0731244i | ||||
\(645\) | −0.228619 | −0.00900184 | ||||||||
\(646\) | 14.6659 | + | 0.0749495i | 0.577024 | + | 0.00294885i | ||||
\(647\) | 14.1537 | 0.556441 | 0.278221 | − | 0.960517i | \(-0.410255\pi\) | ||||
0.278221 | + | 0.960517i | \(0.410255\pi\) | |||||||
\(648\) | 7.48146 | + | 7.48146i | 0.293900 | + | 0.293900i | ||||
\(649\) | 69.5489 | − | 28.8081i | 2.73003 | − | 1.13082i | ||||
\(650\) | 24.1678i | 0.947941i | ||||||||
\(651\) | −1.17578 | − | 2.83860i | −0.0460826 | − | 0.111253i | ||||
\(652\) | −8.95049 | − | 3.70741i | −0.350528 | − | 0.145193i | ||||
\(653\) | 0.166231 | − | 0.401317i | 0.00650512 | − | 0.0157047i | −0.920594 | − | 0.390522i | \(-0.872295\pi\) |
0.927099 | + | 0.374817i | \(0.122295\pi\) | |||||||
\(654\) | −10.4020 | + | 10.4020i | −0.406750 | + | 0.406750i | ||||
\(655\) | 3.15297 | − | 3.15297i | 0.123197 | − | 0.123197i | ||||
\(656\) | 11.0781 | − | 26.7449i | 0.432527 | − | 1.04421i | ||||
\(657\) | 15.4881 | + | 6.41537i | 0.604247 | + | 0.250287i | ||||
\(658\) | −1.69464 | − | 4.09122i | −0.0660639 | − | 0.159492i | ||||
\(659\) | − | 26.0136i | − | 1.01335i | −0.862139 | − | 0.506673i | \(-0.830875\pi\) | ||
0.862139 | − | 0.506673i | \(-0.169125\pi\) | |||||||
\(660\) | −0.835783 | + | 0.346192i | −0.0325328 | + | 0.0134755i | ||||
\(661\) | −3.82032 | − | 3.82032i | −0.148593 | − | 0.148593i | 0.628896 | − | 0.777489i | \(-0.283507\pi\) |
−0.777489 | + | 0.628896i | \(0.783507\pi\) | |||||||
\(662\) | −47.1180 | −1.83129 | ||||||||
\(663\) | −8.07114 | + | 3.29495i | −0.313457 | + | 0.127965i | ||||
\(664\) | −12.1690 | −0.472248 | ||||||||
\(665\) | −0.271301 | − | 0.271301i | −0.0105206 | − | 0.0105206i | ||||
\(666\) | −30.5566 | + | 12.6570i | −1.18405 | + | 0.490448i | ||||
\(667\) | − | 72.2040i | − | 2.79575i | ||||||
\(668\) | 5.93234 | + | 14.3219i | 0.229529 | + | 0.554132i | ||||
\(669\) | −18.4519 | − | 7.64302i | −0.713391 | − | 0.295496i | ||||
\(670\) | −1.86678 | + | 4.50681i | −0.0721200 | + | 0.174113i | ||||
\(671\) | −17.0449 | + | 17.0449i | −0.658012 | + | 0.658012i | ||||
\(672\) | −0.957819 | + | 0.957819i | −0.0369487 | + | 0.0369487i | ||||
\(673\) | −9.83632 | + | 23.7470i | −0.379162 | + | 0.915379i | 0.612961 | + | 0.790113i | \(0.289978\pi\) |
−0.992123 | + | 0.125266i | \(0.960022\pi\) | |||||||
\(674\) | 18.5385 | + | 7.67888i | 0.714075 | + | 0.295779i | ||||
\(675\) | 7.20877 | + | 17.4035i | 0.277466 | + | 0.669861i | ||||
\(676\) | 2.54050i | 0.0977117i | ||||||||
\(677\) | 2.59087 | − | 1.07317i | 0.0995750 | − | 0.0412453i | −0.332340 | − | 0.943160i | \(-0.607838\pi\) |
0.431915 | + | 0.901914i | \(0.357838\pi\) | |||||||
\(678\) | −7.77957 | − | 7.77957i | −0.298773 | − | 0.298773i | ||||
\(679\) | −2.51053 | −0.0963454 | ||||||||
\(680\) | −1.14116 | + | 2.71566i | −0.0437613 | + | 0.104141i | ||||
\(681\) | 18.0246 | 0.690704 | ||||||||
\(682\) | −56.3957 | − | 56.3957i | −2.15950 | − | 2.15950i | ||||
\(683\) | 4.03853 | − | 1.67281i | 0.154530 | − | 0.0640084i | −0.304078 | − | 0.952647i | \(-0.598348\pi\) |
0.458608 | + | 0.888639i | \(0.348348\pi\) | |||||||
\(684\) | 3.62717i | 0.138688i | ||||||||
\(685\) | 0.770784 | + | 1.86084i | 0.0294502 | + | 0.0710990i | ||||
\(686\) | −11.1132 | − | 4.60323i | −0.424303 | − | 0.175752i | ||||
\(687\) | −2.48364 | + | 5.99603i | −0.0947567 | + | 0.228763i | ||||
\(688\) | −3.45490 | + | 3.45490i | −0.131717 | + | 0.131717i | ||||
\(689\) | 12.4439 | − | 12.4439i | 0.474075 | − | 0.474075i | ||||
\(690\) | 1.05199 | − | 2.53974i | 0.0400488 | − | 0.0966863i | ||||
\(691\) | −24.4631 | − | 10.1329i | −0.930620 | − | 0.385475i | −0.134706 | − | 0.990886i | \(-0.543009\pi\) |
−0.795913 | + | 0.605410i | \(0.793009\pi\) | |||||||
\(692\) | −0.778097 | − | 1.87849i | −0.0295788 | − | 0.0714096i | ||||
\(693\) | 8.07022i | 0.306562i | ||||||||
\(694\) | 9.19304 | − | 3.80788i | 0.348963 | − | 0.144545i | ||||
\(695\) | 0.577830 | + | 0.577830i | 0.0219183 | + | 0.0219183i | ||||
\(696\) | 14.9365 | 0.566168 | ||||||||
\(697\) | −22.5211 | − | 9.46365i | −0.853046 | − | 0.358461i | ||||
\(698\) | −0.136641 | −0.00517194 | ||||||||
\(699\) | 9.63092 | + | 9.63092i | 0.364275 | + | 0.364275i | ||||
\(700\) | 1.60977 | − | 0.666790i | 0.0608437 | − | 0.0252023i | ||||
\(701\) | 21.9116i | 0.827589i | 0.910370 | + | 0.413795i | \(0.135797\pi\) | ||||
−0.910370 | + | 0.413795i | \(0.864203\pi\) | |||||||
\(702\) | −7.27735 | − | 17.5691i | −0.274666 | − | 0.663102i | ||||
\(703\) | 16.2514 | + | 6.73155i | 0.612933 | + | 0.253885i | ||||
\(704\) | 8.88648 | − | 21.4539i | 0.334922 | − | 0.808573i | ||||
\(705\) | −0.815975 | + | 0.815975i | −0.0307314 | + | 0.0307314i | ||||
\(706\) | 9.70789 | − | 9.70789i | 0.365361 | − | 0.365361i | ||||
\(707\) | −1.89448 | + | 4.57368i | −0.0712493 | + | 0.172011i | ||||
\(708\) | 5.38488 | + | 2.23049i | 0.202376 | + | 0.0838270i | ||||
\(709\) | 8.78340 | + | 21.2050i | 0.329867 | + | 0.796370i | 0.998601 | + | 0.0528687i | \(0.0168365\pi\) |
−0.668734 | + | 0.743502i | \(0.733164\pi\) | |||||||
\(710\) | − | 4.14626i | − | 0.155606i | ||||||
\(711\) | 25.5661 | − | 10.5898i | 0.958805 | − | 0.397150i | ||||
\(712\) | −7.27956 | − | 7.27956i | −0.272813 | − | 0.272813i | ||||
\(713\) | 60.2916 | 2.25794 | ||||||||
\(714\) | 1.77735 | + | 1.79561i | 0.0665155 | + | 0.0671989i | ||||
\(715\) | 5.92011 | 0.221400 | ||||||||
\(716\) | 7.63550 | + | 7.63550i | 0.285352 | + | 0.285352i | ||||
\(717\) | −2.49949 | + | 1.03532i | −0.0933451 | + | 0.0386648i | ||||
\(718\) | 33.7217i | 1.25848i | ||||||||
\(719\) | 3.77644 | + | 9.11714i | 0.140838 | + | 0.340012i | 0.978522 | − | 0.206143i | \(-0.0660911\pi\) |
−0.837684 | + | 0.546155i | \(0.816091\pi\) | |||||||
\(720\) | −3.71184 | − | 1.53749i | −0.138332 | − | 0.0572990i | ||||
\(721\) | −0.685181 | + | 1.65417i | −0.0255175 | + | 0.0616046i | ||||
\(722\) | −16.4381 | + | 16.4381i | −0.611763 | + | 0.611763i | ||||
\(723\) | −6.03410 | + | 6.03410i | −0.224411 | + | 0.224411i | ||||
\(724\) | −2.99609 | + | 7.23320i | −0.111349 | + | 0.268820i | ||||
\(725\) | −44.2900 | − | 18.3455i | −1.64489 | − | 0.681336i | ||||
\(726\) | −10.7703 | − | 26.0018i | −0.399723 | − | 0.965017i | ||||
\(727\) | − | 15.9121i | − | 0.590148i | −0.955474 | − | 0.295074i | \(-0.904656\pi\) | ||
0.955474 | − | 0.295074i | \(-0.0953443\pi\) | |||||||
\(728\) | 3.28228 | − | 1.35957i | 0.121649 | − | 0.0503888i | ||||
\(729\) | 2.90662 | + | 2.90662i | 0.107653 | + | 0.107653i | ||||
\(730\) | −3.56400 | −0.131910 | ||||||||
\(731\) | 2.90054 | + | 2.93034i | 0.107280 | + | 0.108382i | ||||
\(732\) | −1.86636 | −0.0689827 | ||||||||
\(733\) | −14.2549 | − | 14.2549i | −0.526516 | − | 0.526516i | 0.393016 | − | 0.919532i | \(-0.371432\pi\) |
−0.919532 | + | 0.393016i | \(0.871432\pi\) | |||||||
\(734\) | 31.1668 | − | 12.9097i | 1.15039 | − | 0.476506i | ||||
\(735\) | 1.53423i | 0.0565911i | ||||||||
\(736\) | −10.1720 | − | 24.5574i | −0.374945 | − | 0.905198i | ||||
\(737\) | −50.4166 | − | 20.8832i | −1.85712 | − | 0.769244i | ||||
\(738\) | 9.29377 | − | 22.4371i | 0.342108 | − | 0.825922i | ||||
\(739\) | −7.81517 | + | 7.81517i | −0.287486 | + | 0.287486i | −0.836085 | − | 0.548600i | \(-0.815161\pi\) |
0.548600 | + | 0.836085i | \(0.315161\pi\) | |||||||
\(740\) | 1.23689 | − | 1.23689i | 0.0454690 | − | 0.0454690i | ||||
\(741\) | −1.76394 | + | 4.25853i | −0.0648000 | + | 0.156441i | ||||
\(742\) | −4.71193 | − | 1.95174i | −0.172980 | − | 0.0716508i | ||||
\(743\) | −13.1572 | − | 31.7643i | −0.482691 | − | 1.16532i | −0.958326 | − | 0.285676i | \(-0.907782\pi\) |
0.475635 | − | 0.879643i | \(-0.342218\pi\) | |||||||
\(744\) | 12.4723i | 0.457256i | ||||||||
\(745\) | −5.85221 | + | 2.42406i | −0.214408 | + | 0.0888109i | ||||
\(746\) | 7.02124 | + | 7.02124i | 0.257066 | + | 0.257066i | ||||
\(747\) | −14.0061 | −0.512456 | ||||||||
\(748\) | 15.0411 | + | 6.32049i | 0.549958 | + | 0.231100i | ||||
\(749\) | 2.08025 | 0.0760107 | ||||||||
\(750\) | −2.60944 | − | 2.60944i | −0.0952832 | − | 0.0952832i | ||||
\(751\) | 0.854618 | − | 0.353994i | 0.0311854 | − | 0.0129174i | −0.367036 | − | 0.930207i | \(-0.619627\pi\) |
0.398222 | + | 0.917289i | \(0.369627\pi\) | |||||||
\(752\) | 24.6621i | 0.899335i | ||||||||
\(753\) | 0.342572 | + | 0.827042i | 0.0124840 | + | 0.0301391i | ||||
\(754\) | 44.7114 | + | 18.5201i | 1.62829 | + | 0.674461i | ||||
\(755\) | −1.60830 | + | 3.88278i | −0.0585320 | + | 0.141309i | ||||
\(756\) | −0.969460 | + | 0.969460i | −0.0352589 | + | 0.0352589i | ||||
\(757\) | −6.72666 | + | 6.72666i | −0.244485 | + | 0.244485i | −0.818703 | − | 0.574218i | \(-0.805306\pi\) |
0.574218 | + | 0.818703i | \(0.305306\pi\) | |||||||
\(758\) | 8.12515 | − | 19.6158i | 0.295119 | − | 0.712479i | ||||
\(759\) | 28.4115 | + | 11.7684i | 1.03127 | + | 0.427166i | ||||
\(760\) | 0.596023 | + | 1.43893i | 0.0216200 | + | 0.0521953i | ||||
\(761\) | 27.4658i | 0.995633i | 0.867282 | + | 0.497816i | \(0.165865\pi\) | ||||
−0.867282 | + | 0.497816i | \(0.834135\pi\) | |||||||
\(762\) | 16.8957 | − | 6.99844i | 0.612068 | − | 0.253527i | ||||
\(763\) | −4.90772 | − | 4.90772i | −0.177671 | − | 0.177671i | ||||
\(764\) | −4.54649 | −0.164486 | ||||||||
\(765\) | −1.31343 | + | 3.12563i | −0.0474872 | + | 0.113007i | ||||
\(766\) | 13.9043 | 0.502383 | ||||||||
\(767\) | −26.9710 | − | 26.9710i | −0.973868 | − | 0.973868i | ||||
\(768\) | 9.25637 | − | 3.83411i | 0.334010 | − | 0.138352i | ||||
\(769\) | 45.9487i | 1.65695i | 0.560025 | + | 0.828476i | \(0.310792\pi\) | ||||
−0.560025 | + | 0.828476i | \(0.689208\pi\) | |||||||
\(770\) | −0.656569 | − | 1.58510i | −0.0236611 | − | 0.0571230i | ||||
\(771\) | −11.2834 | − | 4.67374i | −0.406362 | − | 0.168320i | ||||
\(772\) | 4.49509 | − | 10.8521i | 0.161782 | − | 0.390576i | ||||
\(773\) | −24.9327 | + | 24.9327i | −0.896767 | + | 0.896767i | −0.995149 | − | 0.0983814i | \(-0.968633\pi\) |
0.0983814 | + | 0.995149i | \(0.468633\pi\) | |||||||
\(774\) | −2.89843 | + | 2.89843i | −0.104182 | + | 0.104182i | ||||
\(775\) | 15.3188 | − | 36.9830i | 0.550269 | − | 1.32847i | ||||
\(776\) | 9.41541 | + | 3.89999i | 0.337993 | + | 0.140001i | ||||
\(777\) | 1.15962 | + | 2.79958i | 0.0416013 | + | 0.100434i | ||||
\(778\) | 7.97715i | 0.285995i | ||||||||
\(779\) | −11.9331 | + | 4.94284i | −0.427547 | + | 0.177096i | ||||
\(780\) | 0.324116 | + | 0.324116i | 0.0116052 | + | 0.0116052i | ||||
\(781\) | 46.3832 | 1.65972 | ||||||||
\(782\) | −45.9002 | + | 18.7383i | −1.64139 | + | 0.670079i | ||||
\(783\) | 37.7213 | 1.34805 | ||||||||
\(784\) | 23.1854 | + | 23.1854i | 0.828052 | + | 0.828052i | ||||
\(785\) | −2.52910 | + | 1.04759i | −0.0902675 | + | 0.0373900i | ||||
\(786\) | 15.5248i | 0.553750i | ||||||||
\(787\) | −6.29764 | − | 15.2038i | −0.224486 | − | 0.541958i | 0.771003 | − | 0.636832i | \(-0.219755\pi\) |
−0.995489 | + | 0.0948734i | \(0.969755\pi\) | |||||||
\(788\) | −1.72211 | − | 0.713322i | −0.0613477 | − | 0.0254110i | ||||
\(789\) | −4.11905 | + | 9.94426i | −0.146642 | + | 0.354025i | ||||
\(790\) | −4.15997 | + | 4.15997i | −0.148005 | + | 0.148005i | ||||
\(791\) | 3.67045 | − | 3.67045i | 0.130506 | − | 0.130506i | ||||
\(792\) | 12.5367 | − | 30.2662i | 0.445471 | − | 1.07546i | ||||
\(793\) | 11.2840 | + | 4.67399i | 0.400707 | + | 0.165978i | ||||
\(794\) | 1.38393 | + | 3.34110i | 0.0491138 | + | 0.118571i | ||||
\(795\) | 1.32904i | 0.0471361i | ||||||||
\(796\) | −11.6080 | + | 4.80821i | −0.411436 | + | 0.170422i | ||||
\(797\) | −23.9248 | − | 23.9248i | −0.847460 | − | 0.847460i | 0.142356 | − | 0.989816i | \(-0.454532\pi\) |
−0.989816 | + | 0.142356i | \(0.954532\pi\) | |||||||
\(798\) | 1.33584 | 0.0472884 | ||||||||
\(799\) | 20.8113 | + | 0.106355i | 0.736251 | + | 0.00376257i | ||||
\(800\) | −17.6480 | −0.623952 | ||||||||
\(801\) | −8.37852 | − | 8.37852i | −0.296041 | − | 0.296041i | ||||
\(802\) | 43.6244 | − | 18.0698i | 1.54043 | − | 0.638068i | ||||
\(803\) | − | 39.8696i | − | 1.40697i | ||||||
\(804\) | −1.61690 | − | 3.90355i | −0.0570237 | − | 0.137667i | ||||
\(805\) | 1.19826 | + | 0.496337i | 0.0422333 | + | 0.0174936i | ||||
\(806\) | −15.4646 | + | 37.3348i | −0.544717 | + | 1.31506i | ||||
\(807\) | −11.7370 | + | 11.7370i | −0.413163 | + | 0.413163i | ||||
\(808\) | 14.2100 | − | 14.2100i | 0.499905 | − | 0.499905i | ||||
\(809\) | 1.55583 | − | 3.75610i | 0.0546999 | − | 0.132057i | −0.894167 | − | 0.447733i | \(-0.852231\pi\) |
0.948867 | + | 0.315676i | \(0.102231\pi\) | |||||||
\(810\) | −2.39185 | − | 0.990739i | −0.0840412 | − | 0.0348110i | ||||
\(811\) | −6.60680 | − | 15.9502i | −0.231996 | − | 0.560088i | 0.764416 | − | 0.644724i | \(-0.223027\pi\) |
−0.996412 | + | 0.0846353i | \(0.973027\pi\) | |||||||
\(812\) | − | 3.48911i | − | 0.122444i | ||||||
\(813\) | −15.9841 | + | 6.62085i | −0.560588 | + | 0.232203i | ||||
\(814\) | 55.6206 | + | 55.6206i | 1.94950 | + | 1.94950i | ||||
\(815\) | −4.78794 | −0.167714 | ||||||||
\(816\) | −5.31806 | − | 13.0268i | −0.186169 | − | 0.456030i | ||||
\(817\) | 2.18003 | 0.0762695 | ||||||||
\(818\) | −42.7800 | − | 42.7800i | −1.49577 | − | 1.49577i | ||||
\(819\) | 3.77779 | − | 1.56481i | 0.132007 | − | 0.0546790i | ||||
\(820\) | 1.28442i | 0.0448540i | ||||||||
\(821\) | −8.33365 | − | 20.1192i | −0.290846 | − | 0.702165i | 0.709149 | − | 0.705058i | \(-0.249079\pi\) |
−0.999996 | + | 0.00289282i | \(0.999079\pi\) | |||||||
\(822\) | −6.47886 | − | 2.68363i | −0.225976 | − | 0.0936024i | ||||
\(823\) | 6.21370 | − | 15.0012i | 0.216596 | − | 0.522909i | −0.777814 | − | 0.628494i | \(-0.783672\pi\) |
0.994410 | + | 0.105585i | \(0.0336716\pi\) | |||||||
\(824\) | 5.13935 | − | 5.13935i | 0.179038 | − | 0.179038i | ||||
\(825\) | 14.4375 | − | 14.4375i | 0.502650 | − | 0.502650i | ||||
\(826\) | −4.23023 | + | 10.2127i | −0.147188 | + | 0.355344i | ||||
\(827\) | −23.7788 | − | 9.84950i | −0.826870 | − | 0.342501i | −0.0712071 | − | 0.997462i | \(-0.522685\pi\) |
−0.755663 | + | 0.654961i | \(0.772685\pi\) | |||||||
\(828\) | −4.69223 | − | 11.3281i | −0.163066 | − | 0.393677i | ||||
\(829\) | − | 44.2855i | − | 1.53810i | −0.639189 | − | 0.769050i | \(-0.720730\pi\) | ||
0.639189 | − | 0.769050i | \(-0.279270\pi\) | |||||||
\(830\) | 2.75098 | − | 1.13949i | 0.0954880 | − | 0.0395524i | ||||
\(831\) | −1.52810 | − | 1.52810i | −0.0530091 | − | 0.0530091i | ||||
\(832\) | −11.7660 | −0.407912 | ||||||||
\(833\) | 19.6652 | − | 19.4652i | 0.681358 | − | 0.674429i | ||||
\(834\) | −2.84515 | −0.0985194 | ||||||||
\(835\) | 5.41737 | + | 5.41737i | 0.187476 | + | 0.187476i | ||||
\(836\) | 7.96974 | − | 3.30117i | 0.275639 | − | 0.114173i | ||||
\(837\) | 31.4979i | 1.08873i | ||||||||
\(838\) | 14.2480 | + | 34.3977i | 0.492188 | + | 1.18825i | ||||
\(839\) | −0.407300 | − | 0.168709i | −0.0140616 | − | 0.00582449i | 0.375642 | − | 0.926765i | \(-0.377422\pi\) |
−0.389703 | + | 0.920941i | \(0.627422\pi\) | |||||||
\(840\) | −0.102675 | + | 0.247880i | −0.00354263 | + | 0.00855266i | ||||
\(841\) | −47.3737 | + | 47.3737i | −1.63357 | + | 1.63357i | ||||
\(842\) | 13.0161 | − | 13.0161i | 0.448565 | − | 0.448565i | ||||
\(843\) | −4.52422 | + | 10.9224i | −0.155823 | + | 0.376189i | ||||
\(844\) | −4.06628 | − | 1.68431i | −0.139967 | − | 0.0579762i | ||||
\(845\) | 0.480482 | + | 1.15999i | 0.0165291 | + | 0.0399047i | ||||
\(846\) | 20.6899i | 0.711332i | ||||||||
\(847\) | 12.2678 | − | 5.08149i | 0.421527 | − | 0.174602i | ||||
\(848\) | 20.0845 | + | 20.0845i | 0.689704 | + | 0.689704i | ||||
\(849\) | −3.75371 | −0.128827 | ||||||||
\(850\) | −0.168217 | + | 32.9163i | −0.00576979 | + | 1.12902i | ||||
\(851\) | −59.4630 | −2.03836 | ||||||||
\(852\) | 2.53940 | + | 2.53940i | 0.0869985 | + | 0.0869985i | ||||
\(853\) | 27.8503 | − | 11.5360i | 0.953575 | − | 0.394984i | 0.149001 | − | 0.988837i | \(-0.452394\pi\) |
0.804573 | + | 0.593853i | \(0.202394\pi\) | |||||||
\(854\) | − | 3.53964i | − | 0.121124i | ||||||
\(855\) | 0.686002 | + | 1.65615i | 0.0234608 | + | 0.0566393i | ||||
\(856\) | −7.80168 | − | 3.23156i | −0.266656 | − | 0.110453i | ||||
\(857\) | −4.93842 | + | 11.9224i | −0.168693 | + | 0.407261i | −0.985506 | − | 0.169642i | \(-0.945739\pi\) |
0.816813 | + | 0.576903i | \(0.195739\pi\) | |||||||
\(858\) | −14.5749 | + | 14.5749i | −0.497578 | + | 0.497578i | ||||
\(859\) | −18.8093 | + | 18.8093i | −0.641765 | + | 0.641765i | −0.950989 | − | 0.309224i | \(-0.899931\pi\) |
0.309224 | + | 0.950989i | \(0.399931\pi\) | |||||||
\(860\) | 0.0829608 | − | 0.200285i | 0.00282894 | − | 0.00682966i | ||||
\(861\) | −2.05568 | − | 0.851489i | −0.0700573 | − | 0.0290187i | ||||
\(862\) | −20.6900 | − | 49.9502i | −0.704705 | − | 1.70131i | ||||
\(863\) | 19.4174i | 0.660977i | 0.943810 | + | 0.330488i | \(0.107213\pi\) | ||||
−0.943810 | + | 0.330488i | \(0.892787\pi\) | |||||||
\(864\) | 12.8294 | − | 5.31412i | 0.436466 | − | 0.180790i | ||||
\(865\) | −0.710552 | − | 0.710552i | −0.0241595 | − | 0.0241595i | ||||
\(866\) | −58.8676 | −2.00040 | ||||||||
\(867\) | −11.0157 | + | 4.43150i | −0.374113 | + | 0.150502i | ||||
\(868\) | 2.91347 | 0.0988895 | ||||||||
\(869\) | −46.5366 | − | 46.5366i | −1.57865 | − | 1.57865i | ||||
\(870\) | −3.37663 | + | 1.39865i | −0.114478 | + | 0.0474185i | ||||
\(871\) | 27.6500i | 0.936886i | ||||||||
\(872\) | 10.7818 | + | 26.0296i | 0.365118 | + | 0.881474i | ||||
\(873\) | 10.8368 | + | 4.48875i | 0.366770 | + | 0.151921i | ||||
\(874\) | −10.0315 | + | 24.2181i | −0.339319 | + | 0.819189i | ||||
\(875\) | 1.23115 | − | 1.23115i | 0.0416204 | − | 0.0416204i | ||||
\(876\) | 2.18279 | − | 2.18279i | 0.0737498 | − | 0.0737498i | ||||
\(877\) | −4.78972 | + | 11.5634i | −0.161737 | + | 0.390468i | −0.983884 | − | 0.178807i | \(-0.942776\pi\) |
0.822147 | + | 0.569275i | \(0.192776\pi\) | |||||||
\(878\) | −56.0553 | − | 23.2189i | −1.89177 | − | 0.783598i | ||||
\(879\) | 1.35265 | + | 3.26560i | 0.0456239 | + | 0.110146i | ||||
\(880\) | 9.55507i | 0.322101i | ||||||||
\(881\) | 42.2426 | − | 17.4975i | 1.42319 | − | 0.589504i | 0.467529 | − | 0.883977i | \(-0.345144\pi\) |
0.955660 | + | 0.294473i | \(0.0951442\pi\) | |||||||
\(882\) | 19.4510 | + | 19.4510i | 0.654950 | + | 0.654950i | ||||
\(883\) | 1.13705 | 0.0382648 | 0.0191324 | − | 0.999817i | \(-0.493910\pi\) | ||||
0.0191324 | + | 0.999817i | \(0.493910\pi\) | |||||||
\(884\) | 0.0422456 | − | 8.26652i | 0.00142087 | − | 0.278033i | ||||
\(885\) | 2.88057 | 0.0968292 | ||||||||
\(886\) | −1.44200 | − | 1.44200i | −0.0484451 | − | 0.0484451i | ||||
\(887\) | −42.9733 | + | 17.8001i | −1.44290 | + | 0.597670i | −0.960500 | − | 0.278280i | \(-0.910236\pi\) |
−0.482402 | + | 0.875950i | \(0.660236\pi\) | |||||||
\(888\) | − | 12.3009i | − | 0.412790i | ||||||
\(889\) | 3.30190 | + | 7.97150i | 0.110742 | + | 0.267356i | ||||
\(890\) | 2.32731 | + | 0.964002i | 0.0780115 | + | 0.0323134i | ||||
\(891\) | 11.0832 | − | 26.7571i | 0.371300 | − | 0.896397i | ||||
\(892\) | 13.3916 | − | 13.3916i | 0.448384 | − | 0.448384i | ||||
\(893\) | 7.78086 | − | 7.78086i | 0.260376 | − | 0.260376i | ||||
\(894\) | 8.43984 | − | 20.3756i | 0.282270 | − | 0.681461i | ||||
\(895\) | 4.93043 | + | 2.04225i | 0.164806 | + | 0.0682650i | ||||
\(896\) | 2.78924 | + | 6.73382i | 0.0931819 | + | 0.224961i | ||||
\(897\) | − | 15.5817i | − | 0.520259i | ||||||
\(898\) | 31.0685 | − | 12.8690i | 1.03677 | − | 0.429444i | ||||
\(899\) | −56.6808 | − | 56.6808i | −1.89041 | − | 1.89041i | ||||
\(900\) | −8.14084 | −0.271361 | ||||||||
\(901\) | 17.0350 | − | 16.8618i | 0.567520 | − | 0.561749i | ||||
\(902\) | −57.7580 | −1.92313 | ||||||||
\(903\) | 0.265552 | + | 0.265552i | 0.00883702 | + | 0.00883702i | ||||
\(904\) | −19.4673 | + | 8.06364i | −0.647474 | + | 0.268193i | ||||
\(905\) | 3.86930i | 0.128620i | ||||||||
\(906\) | −5.59960 | − | 13.5186i | −0.186034 | − | 0.449126i | ||||
\(907\) | 37.6298 | + | 15.5868i | 1.24948 | + | 0.517550i | 0.906664 | − | 0.421854i | \(-0.138621\pi\) |
0.342812 | + | 0.939404i | \(0.388621\pi\) | |||||||
\(908\) | −6.54074 | + | 15.7908i | −0.217062 | + | 0.524035i | ||||
\(909\) | 16.3552 | − | 16.3552i | 0.542468 | − | 0.542468i | ||||
\(910\) | −0.614700 | + | 0.614700i | −0.0203771 | + | 0.0203771i | ||||
\(911\) | 2.37983 | − | 5.74541i | 0.0788471 | − | 0.190354i | −0.879540 | − | 0.475824i | \(-0.842150\pi\) |
0.958388 | + | 0.285470i | \(0.0921498\pi\) | |||||||
\(912\) | −6.87328 | − | 2.84700i | −0.227597 | − | 0.0942737i | ||||
\(913\) | 12.7473 | + | 30.7746i | 0.421873 | + | 1.01849i | ||||
\(914\) | 8.66613i | 0.286650i | ||||||||
\(915\) | −0.852174 | + | 0.352982i | −0.0281720 | + | 0.0116692i | ||||
\(916\) | −4.35166 | − | 4.35166i | −0.143783 | − | 0.143783i | ||||
\(917\) | −7.32467 | −0.241882 | ||||||||
\(918\) | −9.78936 | − | 23.9795i | −0.323097 | − | 0.791441i | ||||
\(919\) | −2.13630 | −0.0704700 | −0.0352350 | − | 0.999379i | \(-0.511218\pi\) | ||||
−0.0352350 | + | 0.999379i | \(0.511218\pi\) | |||||||
\(920\) | −3.72289 | − | 3.72289i | −0.122740 | − | 0.122740i | ||||
\(921\) | −5.13241 | + | 2.12591i | −0.169119 | + | 0.0700512i | ||||
\(922\) | 16.5303i | 0.544398i | ||||||||
\(923\) | −8.99369 | − | 21.7127i | −0.296031 | − | 0.714682i | ||||
\(924\) | 1.37292 | + | 0.568684i | 0.0451659 | + | 0.0187083i | ||||
\(925\) | −15.1083 | + | 36.4747i | −0.496758 | + | 1.19928i | ||||
\(926\) | −36.1643 | + | 36.1643i | −1.18843 | + | 1.18843i | ||||
\(927\) | 5.91521 | − | 5.91521i | 0.194281 | − | 0.194281i | ||||
\(928\) | −13.5239 | + | 32.6495i | −0.443943 | + | 1.07177i | ||||
\(929\) | 53.4843 | + | 22.1539i | 1.75476 | + | 0.726847i | 0.997257 | + | 0.0740207i | \(0.0235831\pi\) |
0.757508 | + | 0.652826i | \(0.226417\pi\) | |||||||
\(930\) | −1.16789 | − | 2.81955i | −0.0382968 | − | 0.0924565i | ||||
\(931\) | − | 14.6299i | − | 0.479477i | ||||||
\(932\) | −11.9322 | + | 4.94247i | −0.390852 | + | 0.161896i | ||||
\(933\) | −5.68192 | − | 5.68192i | −0.186018 | − | 0.186018i | ||||
\(934\) | 44.7813 | 1.46529 | ||||||||
\(935\) | 8.06311 | + | 0.0412061i | 0.263692 | + | 0.00134758i | ||||
\(936\) | −16.5989 | −0.542553 | ||||||||
\(937\) | 4.31034 | + | 4.31034i | 0.140813 | + | 0.140813i | 0.773999 | − | 0.633187i | \(-0.218253\pi\) |
−0.633187 | + | 0.773999i | \(0.718253\pi\) | |||||||
\(938\) | 7.40325 | − | 3.06653i | 0.241725 | − | 0.100126i | ||||
\(939\) | − | 11.0585i | − | 0.360880i | ||||||
\(940\) | −0.418748 | − | 1.01095i | −0.0136581 | − | 0.0329735i | ||||
\(941\) | 25.9806 | + | 10.7615i | 0.846942 | + | 0.350815i | 0.763587 | − | 0.645705i | \(-0.223436\pi\) |
0.0833554 | + | 0.996520i | \(0.473436\pi\) | |||||||
\(942\) | 3.64738 | − | 8.80554i | 0.118838 | − | 0.286900i | ||||
\(943\) | 30.8740 | − | 30.8740i | 1.00540 | − | 1.00540i | ||||
\(944\) | 43.5313 | − | 43.5313i | 1.41682 | − | 1.41682i | ||||
\(945\) | −0.259299 | + | 0.626004i | −0.00843501 | + | 0.0203639i | ||||
\(946\) | 9.00643 | + | 3.73059i | 0.292824 | + | 0.121292i | ||||
\(947\) | 3.55105 | + | 8.57299i | 0.115394 | + | 0.278585i | 0.971015 | − | 0.239017i | \(-0.0768250\pi\) |
−0.855622 | + | 0.517601i | \(0.826825\pi\) | |||||||
\(948\) | − | 5.09561i | − | 0.165498i | ||||||
\(949\) | −18.6636 | + | 7.73071i | −0.605845 | + | 0.250949i | ||||
\(950\) | 12.3066 | + | 12.3066i | 0.399280 | + | 0.399280i | ||||
\(951\) | −9.55029 | −0.309689 | ||||||||
\(952\) | 4.47988 | − | 1.82886i | 0.145194 | − | 0.0592738i | ||||
\(953\) | 28.4495 | 0.921570 | 0.460785 | − | 0.887512i | \(-0.347568\pi\) | ||||
0.460785 | + | 0.887512i | \(0.347568\pi\) | |||||||
\(954\) | 16.8495 | + | 16.8495i | 0.545524 | + | 0.545524i | ||||
\(955\) | −2.07591 | + | 0.859870i | −0.0671749 | + | 0.0278247i | ||||
\(956\) | − | 2.56542i | − | 0.0829715i | ||||||
\(957\) | −15.6463 | − | 37.7735i | −0.505774 | − | 1.22105i | ||||
\(958\) | 46.6444 | + | 19.3207i | 1.50701 | + | 0.624225i | ||||
\(959\) | 1.26615 | − | 3.05676i | 0.0408862 | − | 0.0987081i | ||||
\(960\) | 0.628316 | − | 0.628316i | 0.0202788 | − | 0.0202788i | ||||
\(961\) | 25.4092 | − | 25.4092i | 0.819652 | − | 0.819652i | ||||
\(962\) | 15.2520 | − | 36.8217i | 0.491745 | − | 1.18718i | ||||
\(963\) | −8.97947 | − | 3.71942i | −0.289359 | − | 0.119857i | ||||
\(964\) | −3.09663 | − | 7.47592i | −0.0997356 | − | 0.240783i | ||||
\(965\) | − | 5.80519i | − | 0.186876i | ||||||
\(966\) | −4.17198 | + | 1.72809i | −0.134231 | + | 0.0556004i | ||||
\(967\) | −8.60132 | − | 8.60132i | −0.276600 | − | 0.276600i | 0.555150 | − | 0.831750i | \(-0.312661\pi\) |
−0.831750 | + | 0.555150i | \(0.812661\pi\) | |||||||
\(968\) | −53.9025 | −1.73249 | ||||||||
\(969\) | −2.43210 | + | 5.78778i | −0.0781304 | + | 0.185930i | ||||
\(970\) | −2.49369 | −0.0800674 | ||||||||
\(971\) | 18.0139 | + | 18.0139i | 0.578094 | + | 0.578094i | 0.934378 | − | 0.356284i | \(-0.115956\pi\) |
−0.356284 | + | 0.934378i | \(0.615956\pi\) | |||||||
\(972\) | 9.13898 | − | 3.78549i | 0.293133 | − | 0.121420i | ||||
\(973\) | − | 1.34236i | − | 0.0430340i | ||||||
\(974\) | 12.6115 | + | 30.4470i | 0.404100 | + | 0.975584i | ||||
\(975\) | −9.55785 | − | 3.95899i | −0.306096 | − | 0.126789i | ||||
\(976\) | −7.54382 | + | 18.2124i | −0.241472 | + | 0.582965i | ||||
\(977\) | −30.4274 | + | 30.4274i | −0.973459 | + | 0.973459i | −0.999657 | − | 0.0261978i | \(-0.991660\pi\) |
0.0261978 | + | 0.999657i | \(0.491660\pi\) | |||||||
\(978\) | 11.7875 | − | 11.7875i | 0.376924 | − | 0.376924i | ||||
\(979\) | −10.7841 | + | 26.0350i | −0.344660 | + | 0.832083i | ||||
\(980\) | −1.34409 | − | 0.556741i | −0.0429354 | − | 0.0177844i | ||||
\(981\) | 12.4095 | + | 29.9592i | 0.396205 | + | 0.956523i | ||||
\(982\) | − | 9.24457i | − | 0.295006i | ||||||
\(983\) | −18.4974 | + | 7.66189i | −0.589976 | + | 0.244376i | −0.657641 | − | 0.753332i | \(-0.728445\pi\) |
0.0676640 | + | 0.997708i | \(0.478445\pi\) | |||||||
\(984\) | 6.38678 | + | 6.38678i | 0.203603 | + | 0.203603i | ||||
\(985\) | −0.921219 | −0.0293525 | ||||||||
\(986\) | 60.7674 | + | 25.5353i | 1.93523 | + | 0.813209i | ||||
\(987\) | 1.89559 | 0.0603374 | ||||||||
\(988\) | −3.09066 | − | 3.09066i | −0.0983270 | − | 0.0983270i | ||||
\(989\) | −6.80846 | + | 2.82016i | −0.216496 | + | 0.0896758i | ||||
\(990\) | 8.01606i | 0.254767i | ||||||||
\(991\) | −10.6713 | − | 25.7628i | −0.338985 | − | 0.818383i | −0.997814 | − | 0.0660895i | \(-0.978948\pi\) |
0.658828 | − | 0.752293i | \(-0.271052\pi\) | |||||||
\(992\) | −27.2629 | − | 11.2927i | −0.865599 | − | 0.358543i | ||||
\(993\) | 7.71851 | − | 18.6341i | 0.244939 | − | 0.591336i | ||||
\(994\) | −4.81609 | + | 4.81609i | −0.152757 | + | 0.152757i | ||||
\(995\) | −4.39082 | + | 4.39082i | −0.139198 | + | 0.139198i | ||||
\(996\) | −0.986967 | + | 2.38275i | −0.0312732 | + | 0.0755003i | ||||
\(997\) | 52.1843 | + | 21.6155i | 1.65269 | + | 0.684568i | 0.997485 | − | 0.0708790i | \(-0.0225804\pi\) |
0.655209 | + | 0.755447i | \(0.272580\pi\) | |||||||
\(998\) | 8.53625 | + | 20.6083i | 0.270210 | + | 0.652345i | ||||
\(999\) | − | 31.0650i | − | 0.982853i |
(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 | 731.2.m.c.87.6 | ✓ | 128 | |
17.9 | even | 8 | inner | 731.2.m.c.689.6 | yes | 128 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
731.2.m.c.87.6 | ✓ | 128 | 1.1 | even | 1 | trivial | |
731.2.m.c.689.6 | yes | 128 | 17.9 | even | 8 | inner |