Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [690,2,Mod(11,690)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(690, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([11, 0, 9]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("690.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 690 = 2 \cdot 3 \cdot 5 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 690.q (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: | \(5.50967773947\) |
Analytic rank: | \(0\) |
Dimension: | \(160\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{22})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{22}]$ |
Embedding invariants
Embedding label | 251.9 | ||
Character | \(\chi\) | \(=\) | 690.251 |
Dual form | 690.2.q.a.11.9 |
$q$-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 \(\left(\mathbb{Z}/690\mathbb{Z}\right)^\times\).
\(n\) | \(277\) | \(461\) | \(511\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(e\left(\frac{13}{22}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.540641 | − | 0.841254i | 0.382291 | − | 0.594856i | ||||
\(3\) | −1.62851 | + | 0.589888i | −0.940218 | + | 0.340572i | ||||
\(4\) | −0.415415 | − | 0.909632i | −0.207708 | − | 0.454816i | ||||
\(5\) | −0.959493 | − | 0.281733i | −0.429098 | − | 0.125995i | ||||
\(6\) | −0.384191 | + | 1.68890i | −0.156845 | + | 0.689492i | ||||
\(7\) | 1.12640 | + | 0.976034i | 0.425740 | + | 0.368906i | 0.841217 | − | 0.540698i | \(-0.181840\pi\) |
−0.415477 | + | 0.909604i | \(0.636385\pi\) | |||||||
\(8\) | −0.989821 | − | 0.142315i | −0.349955 | − | 0.0503159i | ||||
\(9\) | 2.30406 | − | 1.92127i | 0.768021 | − | 0.640424i | ||||
\(10\) | −0.755750 | + | 0.654861i | −0.238989 | + | 0.207085i | ||||
\(11\) | −2.69175 | + | 1.72988i | −0.811594 | + | 0.521580i | −0.879380 | − | 0.476120i | \(-0.842043\pi\) |
0.0677862 | + | 0.997700i | \(0.478406\pi\) | |||||||
\(12\) | 1.21309 | + | 1.23629i | 0.350188 | + | 0.356887i | ||||
\(13\) | −0.301686 | − | 0.348165i | −0.0836727 | − | 0.0965635i | 0.712369 | − | 0.701805i | \(-0.247622\pi\) |
−0.796042 | + | 0.605241i | \(0.793077\pi\) | |||||||
\(14\) | 1.43007 | − | 0.419907i | 0.382203 | − | 0.112225i | ||||
\(15\) | 1.72873 | − | 0.107190i | 0.446356 | − | 0.0276764i | ||||
\(16\) | −0.654861 | + | 0.755750i | −0.163715 | + | 0.188937i | ||||
\(17\) | −0.993222 | + | 2.17485i | −0.240892 | + | 0.527479i | −0.991004 | − | 0.133831i | \(-0.957272\pi\) |
0.750112 | + | 0.661310i | \(0.229999\pi\) | |||||||
\(18\) | −0.370607 | − | 2.97702i | −0.0873528 | − | 0.701690i | ||||
\(19\) | −2.25092 | + | 1.02796i | −0.516397 | + | 0.235831i | −0.656527 | − | 0.754303i | \(-0.727975\pi\) |
0.140130 | + | 0.990133i | \(0.455248\pi\) | |||||||
\(20\) | 0.142315 | + | 0.989821i | 0.0318226 | + | 0.221331i | ||||
\(21\) | −2.41011 | − | 0.925025i | −0.525928 | − | 0.201857i | ||||
\(22\) | 3.19969i | 0.682177i | ||||||||
\(23\) | 1.51739 | + | 4.54945i | 0.316398 | + | 0.948626i | ||||
\(24\) | 1.69588 | − | 0.352123i | 0.346170 | − | 0.0718769i | ||||
\(25\) | 0.841254 | + | 0.540641i | 0.168251 | + | 0.108128i | ||||
\(26\) | −0.455999 | + | 0.0655627i | −0.0894287 | + | 0.0128579i | ||||
\(27\) | −2.61885 | + | 4.48794i | −0.503997 | + | 0.863705i | ||||
\(28\) | 0.419907 | − | 1.43007i | 0.0793549 | − | 0.270258i | ||||
\(29\) | 4.48945 | + | 2.05026i | 0.833670 | + | 0.380724i | 0.786066 | − | 0.618142i | \(-0.212114\pi\) |
0.0476034 | + | 0.998866i | \(0.484842\pi\) | |||||||
\(30\) | 0.844448 | − | 1.51225i | 0.154174 | − | 0.276098i | ||||
\(31\) | −0.946047 | + | 6.57990i | −0.169915 | + | 1.18179i | 0.709141 | + | 0.705067i | \(0.249083\pi\) |
−0.879056 | + | 0.476718i | \(0.841826\pi\) | |||||||
\(32\) | 0.281733 | + | 0.959493i | 0.0498038 | + | 0.169616i | ||||
\(33\) | 3.36310 | − | 4.40496i | 0.585440 | − | 0.766805i | ||||
\(34\) | 1.29263 | + | 2.01137i | 0.221684 | + | 0.344947i | ||||
\(35\) | −0.805795 | − | 1.25384i | −0.136204 | − | 0.211938i | ||||
\(36\) | −2.70479 | − | 1.29772i | −0.450799 | − | 0.216287i | ||||
\(37\) | 3.37397 | + | 11.4907i | 0.554677 | + | 1.88906i | 0.446138 | + | 0.894964i | \(0.352799\pi\) |
0.108539 | + | 0.994092i | \(0.465383\pi\) | |||||||
\(38\) | −0.352164 | + | 2.44935i | −0.0571285 | + | 0.397338i | ||||
\(39\) | 0.696676 | + | 0.389027i | 0.111557 | + | 0.0622942i | ||||
\(40\) | 0.909632 | + | 0.415415i | 0.143825 | + | 0.0656829i | ||||
\(41\) | 0.984332 | − | 3.35233i | 0.153727 | − | 0.523545i | −0.846230 | − | 0.532817i | \(-0.821133\pi\) |
0.999957 | + | 0.00927203i | \(0.00295142\pi\) | |||||||
\(42\) | −2.08118 | + | 1.52740i | −0.321133 | + | 0.235683i | ||||
\(43\) | 3.53652 | − | 0.508475i | 0.539314 | − | 0.0775417i | 0.132725 | − | 0.991153i | \(-0.457627\pi\) |
0.406589 | + | 0.913611i | \(0.366718\pi\) | |||||||
\(44\) | 2.69175 | + | 1.72988i | 0.405797 | + | 0.260790i | ||||
\(45\) | −2.75202 | + | 1.19432i | −0.410247 | + | 0.178038i | ||||
\(46\) | 4.64761 | + | 1.18311i | 0.685252 | + | 0.174440i | ||||
\(47\) | 2.26918i | 0.330993i | 0.986210 | + | 0.165497i | \(0.0529227\pi\) | ||||
−0.986210 | + | 0.165497i | \(0.947077\pi\) | |||||||
\(48\) | 0.620637 | − | 1.61704i | 0.0895812 | − | 0.233399i | ||||
\(49\) | −0.680062 | − | 4.72993i | −0.0971517 | − | 0.675705i | ||||
\(50\) | 0.909632 | − | 0.415415i | 0.128641 | − | 0.0587486i | ||||
\(51\) | 0.334548 | − | 4.12765i | 0.0468461 | − | 0.577987i | ||||
\(52\) | −0.191377 | + | 0.419056i | −0.0265392 | + | 0.0581127i | ||||
\(53\) | −4.51643 | + | 5.21223i | −0.620379 | + | 0.715956i | −0.975779 | − | 0.218759i | \(-0.929799\pi\) |
0.355400 | + | 0.934714i | \(0.384345\pi\) | |||||||
\(54\) | 2.35964 | + | 4.62948i | 0.321107 | + | 0.629992i | ||||
\(55\) | 3.07008 | − | 0.901458i | 0.413970 | − | 0.121553i | ||||
\(56\) | −0.976034 | − | 1.12640i | −0.130428 | − | 0.150522i | ||||
\(57\) | 3.05926 | − | 3.00183i | 0.405208 | − | 0.397603i | ||||
\(58\) | 4.15197 | − | 2.66831i | 0.545180 | − | 0.350366i | ||||
\(59\) | −4.54854 | + | 3.94133i | −0.592169 | + | 0.513118i | −0.898596 | − | 0.438777i | \(-0.855412\pi\) |
0.306427 | + | 0.951894i | \(0.400866\pi\) | |||||||
\(60\) | −0.815645 | − | 1.52798i | −0.105299 | − | 0.197261i | ||||
\(61\) | −6.06637 | − | 0.872212i | −0.776718 | − | 0.111675i | −0.257456 | − | 0.966290i | \(-0.582884\pi\) |
−0.519263 | + | 0.854615i | \(0.673793\pi\) | |||||||
\(62\) | 5.02389 | + | 4.35323i | 0.638035 | + | 0.552861i | ||||
\(63\) | 4.47053 | + | 0.0847166i | 0.563234 | + | 0.0106733i | ||||
\(64\) | 0.959493 | + | 0.281733i | 0.119937 | + | 0.0352166i | ||||
\(65\) | 0.191377 | + | 0.419056i | 0.0237373 | + | 0.0519775i | ||||
\(66\) | −1.88746 | − | 5.21072i | −0.232330 | − | 0.641395i | ||||
\(67\) | −3.93607 | + | 6.12464i | −0.480867 | + | 0.748244i | −0.993919 | − | 0.110113i | \(-0.964879\pi\) |
0.513052 | + | 0.858358i | \(0.328515\pi\) | |||||||
\(68\) | 2.39092 | 0.289941 | ||||||||
\(69\) | −5.15475 | − | 6.51372i | −0.620559 | − | 0.784160i | ||||
\(70\) | −1.49044 | −0.178142 | ||||||||
\(71\) | 3.37290 | − | 5.24833i | 0.400289 | − | 0.622863i | −0.581340 | − | 0.813661i | \(-0.697471\pi\) |
0.981629 | + | 0.190798i | \(0.0611077\pi\) | |||||||
\(72\) | −2.55404 | + | 1.57381i | −0.300996 | + | 0.185476i | ||||
\(73\) | −0.392136 | − | 0.858657i | −0.0458960 | − | 0.100498i | 0.885295 | − | 0.465030i | \(-0.153956\pi\) |
−0.931191 | + | 0.364532i | \(0.881229\pi\) | |||||||
\(74\) | 11.4907 | + | 3.37397i | 1.33576 | + | 0.392216i | ||||
\(75\) | −1.68890 | − | 0.384191i | −0.195018 | − | 0.0443626i | ||||
\(76\) | 1.87013 | + | 1.62048i | 0.214519 | + | 0.185882i | ||||
\(77\) | −4.72043 | − | 0.678695i | −0.537942 | − | 0.0773444i | ||||
\(78\) | 0.703922 | − | 0.375757i | 0.0797035 | − | 0.0425462i | ||||
\(79\) | −6.33721 | + | 5.49123i | −0.712992 | + | 0.617811i | −0.933921 | − | 0.357479i | \(-0.883637\pi\) |
0.220929 | + | 0.975290i | \(0.429091\pi\) | |||||||
\(80\) | 0.841254 | − | 0.540641i | 0.0940550 | − | 0.0604455i | ||||
\(81\) | 1.61742 | − | 8.85347i | 0.179713 | − | 0.983719i | ||||
\(82\) | −2.28799 | − | 2.64048i | −0.252666 | − | 0.291592i | ||||
\(83\) | 7.60990 | − | 2.23447i | 0.835296 | − | 0.245265i | 0.164005 | − | 0.986459i | \(-0.447559\pi\) |
0.671290 | + | 0.741195i | \(0.265740\pi\) | |||||||
\(84\) | 0.159761 | + | 2.57658i | 0.0174314 | + | 0.281128i | ||||
\(85\) | 1.56572 | − | 1.80693i | 0.169826 | − | 0.195989i | ||||
\(86\) | 1.48423 | − | 3.25001i | 0.160049 | − | 0.350458i | ||||
\(87\) | −8.52052 | − | 0.690592i | −0.913496 | − | 0.0740393i | ||||
\(88\) | 2.91054 | − | 1.32920i | 0.310265 | − | 0.141693i | ||||
\(89\) | −1.46103 | − | 10.1617i | −0.154869 | − | 1.07714i | −0.907911 | − | 0.419163i | \(-0.862324\pi\) |
0.753042 | − | 0.657972i | \(-0.228586\pi\) | |||||||
\(90\) | −0.483129 | + | 2.96084i | −0.0509263 | + | 0.312100i | ||||
\(91\) | − | 0.686630i | − | 0.0719783i | ||||||
\(92\) | 3.50798 | − | 3.27018i | 0.365732 | − | 0.340940i | ||||
\(93\) | −2.34076 | − | 11.2735i | −0.242726 | − | 1.16900i | ||||
\(94\) | 1.90895 | + | 1.22681i | 0.196893 | + | 0.126536i | ||||
\(95\) | 2.44935 | − | 0.352164i | 0.251298 | − | 0.0361313i | ||||
\(96\) | −1.02480 | − | 1.39635i | −0.104593 | − | 0.142514i | ||||
\(97\) | 0.334672 | − | 1.13979i | 0.0339808 | − | 0.115728i | −0.940756 | − | 0.339084i | \(-0.889883\pi\) |
0.974737 | + | 0.223356i | \(0.0717012\pi\) | |||||||
\(98\) | −4.34674 | − | 1.98509i | −0.439087 | − | 0.200525i | ||||
\(99\) | −2.87839 | + | 9.15736i | −0.289289 | + | 0.920349i | ||||
\(100\) | 0.142315 | − | 0.989821i | 0.0142315 | − | 0.0989821i | ||||
\(101\) | −3.16884 | − | 10.7921i | −0.315311 | − | 1.07385i | −0.952852 | − | 0.303435i | \(-0.901867\pi\) |
0.637541 | − | 0.770416i | \(-0.279952\pi\) | |||||||
\(102\) | −3.29153 | − | 2.51302i | −0.325910 | − | 0.248826i | ||||
\(103\) | −8.49723 | − | 13.2219i | −0.837257 | − | 1.30280i | −0.950970 | − | 0.309283i | \(-0.899911\pi\) |
0.113713 | − | 0.993514i | \(-0.463726\pi\) | |||||||
\(104\) | 0.249067 | + | 0.387555i | 0.0244230 | + | 0.0380029i | ||||
\(105\) | 2.05187 | + | 1.56656i | 0.200242 | + | 0.152881i | ||||
\(106\) | 1.94305 | + | 6.61741i | 0.188725 | + | 0.642739i | ||||
\(107\) | −2.59085 | + | 18.0197i | −0.250467 | + | 1.74203i | 0.344954 | + | 0.938619i | \(0.387894\pi\) |
−0.595421 | + | 0.803414i | \(0.703015\pi\) | |||||||
\(108\) | 5.17029 | + | 0.517826i | 0.497511 | + | 0.0498279i | ||||
\(109\) | −14.2659 | − | 6.51502i | −1.36643 | − | 0.624025i | −0.408954 | − | 0.912555i | \(-0.634106\pi\) |
−0.957471 | + | 0.288530i | \(0.906834\pi\) | |||||||
\(110\) | 0.901458 | − | 3.07008i | 0.0859506 | − | 0.292721i | ||||
\(111\) | −12.2727 | − | 16.7224i | −1.16488 | − | 1.58722i | ||||
\(112\) | −1.47527 | + | 0.212112i | −0.139400 | + | 0.0200427i | ||||
\(113\) | 6.60972 | + | 4.24781i | 0.621790 | + | 0.399600i | 0.813262 | − | 0.581898i | \(-0.197690\pi\) |
−0.191472 | + | 0.981498i | \(0.561326\pi\) | |||||||
\(114\) | −0.871344 | − | 4.19652i | −0.0816088 | − | 0.393041i | ||||
\(115\) | −0.174199 | − | 4.79267i | −0.0162441 | − | 0.446918i | ||||
\(116\) | − | 4.93546i | − | 0.458246i | ||||||
\(117\) | −1.36402 | − | 0.222572i | −0.126104 | − | 0.0205768i | ||||
\(118\) | 0.856533 | + | 5.95732i | 0.0788503 | + | 0.548416i | ||||
\(119\) | −3.24150 | + | 1.48034i | −0.297148 | + | 0.135703i | ||||
\(120\) | −1.72639 | − | 0.139925i | −0.157597 | − | 0.0127733i | ||||
\(121\) | −0.316531 | + | 0.693107i | −0.0287756 | + | 0.0630097i | ||||
\(122\) | −4.01348 | + | 4.63180i | −0.363363 | + | 0.419343i | ||||
\(123\) | 0.374507 | + | 6.03993i | 0.0337682 | + | 0.544602i | ||||
\(124\) | 6.37829 | − | 1.87283i | 0.572787 | − | 0.168186i | ||||
\(125\) | −0.654861 | − | 0.755750i | −0.0585725 | − | 0.0675963i | ||||
\(126\) | 2.48822 | − | 3.71505i | 0.221668 | − | 0.330963i | ||||
\(127\) | 10.5887 | − | 6.80493i | 0.939593 | − | 0.603840i | 0.0213139 | − | 0.999773i | \(-0.493215\pi\) |
0.918279 | + | 0.395933i | \(0.129579\pi\) | |||||||
\(128\) | 0.755750 | − | 0.654861i | 0.0667995 | − | 0.0578821i | ||||
\(129\) | −5.45930 | + | 2.91420i | −0.480664 | + | 0.256581i | ||||
\(130\) | 0.455999 | + | 0.0655627i | 0.0399937 | + | 0.00575023i | ||||
\(131\) | 2.50812 | + | 2.17330i | 0.219135 | + | 0.189882i | 0.757510 | − | 0.652824i | \(-0.226416\pi\) |
−0.538374 | + | 0.842706i | \(0.680961\pi\) | |||||||
\(132\) | −5.40397 | − | 1.22929i | −0.470356 | − | 0.106996i | ||||
\(133\) | −3.53877 | − | 1.03908i | −0.306850 | − | 0.0900994i | ||||
\(134\) | 3.02438 | + | 6.62246i | 0.261266 | + | 0.572094i | ||||
\(135\) | 3.77716 | − | 3.56834i | 0.325087 | − | 0.307114i | ||||
\(136\) | 1.29263 | − | 2.01137i | 0.110842 | − | 0.172473i | ||||
\(137\) | 3.06689 | 0.262022 | 0.131011 | − | 0.991381i | \(-0.458178\pi\) | ||||
0.131011 | + | 0.991381i | \(0.458178\pi\) | |||||||
\(138\) | −8.26656 | + | 0.814870i | −0.703696 | + | 0.0693664i | ||||
\(139\) | −3.86632 | −0.327937 | −0.163969 | − | 0.986466i | \(-0.552430\pi\) | ||||
−0.163969 | + | 0.986466i | \(0.552430\pi\) | |||||||
\(140\) | −0.805795 | + | 1.25384i | −0.0681021 | + | 0.105969i | ||||
\(141\) | −1.33856 | − | 3.69537i | −0.112727 | − | 0.311206i | ||||
\(142\) | −2.59165 | − | 5.67493i | −0.217487 | − | 0.476229i | ||||
\(143\) | 1.41435 | + | 0.415291i | 0.118274 | + | 0.0347283i | ||||
\(144\) | −0.0568398 | + | 2.99946i | −0.00473665 | + | 0.249955i | ||||
\(145\) | −3.72997 | − | 3.23204i | −0.309757 | − | 0.268406i | ||||
\(146\) | −0.934353 | − | 0.134340i | −0.0773276 | − | 0.0111180i | ||||
\(147\) | 3.89762 | + | 7.30157i | 0.321470 | + | 0.602223i | ||||
\(148\) | 9.05069 | − | 7.84247i | 0.743962 | − | 0.644647i | ||||
\(149\) | 6.52444 | − | 4.19300i | 0.534503 | − | 0.343504i | −0.245383 | − | 0.969426i | \(-0.578914\pi\) |
0.779886 | + | 0.625922i | \(0.215277\pi\) | |||||||
\(150\) | −1.23629 | + | 1.21309i | −0.100943 | + | 0.0990481i | ||||
\(151\) | 7.57909 | + | 8.74674i | 0.616778 | + | 0.711800i | 0.975092 | − | 0.221802i | \(-0.0711937\pi\) |
−0.358314 | + | 0.933601i | \(0.616648\pi\) | |||||||
\(152\) | 2.37430 | − | 0.697159i | 0.192582 | − | 0.0565470i | ||||
\(153\) | 1.89004 | + | 6.91925i | 0.152801 | + | 0.559388i | ||||
\(154\) | −3.12301 | + | 3.60414i | −0.251659 | + | 0.290430i | ||||
\(155\) | 2.76150 | − | 6.04684i | 0.221809 | − | 0.485694i | ||||
\(156\) | 0.0644616 | − | 0.795327i | 0.00516106 | − | 0.0636771i | ||||
\(157\) | 2.86966 | − | 1.31053i | 0.229024 | − | 0.104592i | −0.297598 | − | 0.954691i | \(-0.596186\pi\) |
0.526622 | + | 0.850100i | \(0.323458\pi\) | |||||||
\(158\) | 1.19336 | + | 8.29999i | 0.0949384 | + | 0.660311i | ||||
\(159\) | 4.28039 | − | 11.1523i | 0.339457 | − | 0.884438i | ||||
\(160\) | − | 1.00000i | − | 0.0790569i | ||||||
\(161\) | −2.73122 | + | 6.60554i | −0.215251 | + | 0.520590i | ||||
\(162\) | −6.57357 | − | 6.14721i | −0.516468 | − | 0.482970i | ||||
\(163\) | −17.9461 | − | 11.5333i | −1.40565 | − | 0.903356i | −0.405705 | − | 0.914004i | \(-0.632974\pi\) |
−0.999943 | + | 0.0106483i | \(0.996610\pi\) | |||||||
\(164\) | −3.45829 | + | 0.497227i | −0.270047 | + | 0.0388269i | ||||
\(165\) | −4.46789 | + | 3.27903i | −0.347825 | + | 0.255273i | ||||
\(166\) | 2.23447 | − | 7.60990i | 0.173428 | − | 0.590643i | ||||
\(167\) | 22.4942 | + | 10.2727i | 1.74065 | + | 0.794929i | 0.991122 | + | 0.132958i | \(0.0424477\pi\) |
0.749530 | + | 0.661971i | \(0.230280\pi\) | |||||||
\(168\) | 2.25393 | + | 1.25860i | 0.173894 | + | 0.0971034i | ||||
\(169\) | 1.81989 | − | 12.6576i | 0.139991 | − | 0.973662i | ||||
\(170\) | −0.673599 | − | 2.29407i | −0.0516627 | − | 0.175947i | ||||
\(171\) | −3.21127 | + | 6.69312i | −0.245572 | + | 0.511836i | ||||
\(172\) | −1.93165 | − | 3.00570i | −0.147287 | − | 0.229183i | ||||
\(173\) | 4.21538 | + | 6.55927i | 0.320490 | + | 0.498692i | 0.963696 | − | 0.267001i | \(-0.0860327\pi\) |
−0.643207 | + | 0.765693i | \(0.722396\pi\) | |||||||
\(174\) | −5.18750 | + | 6.79456i | −0.393264 | + | 0.515094i | ||||
\(175\) | 0.419907 | + | 1.43007i | 0.0317420 | + | 0.108103i | ||||
\(176\) | 0.455364 | − | 3.16712i | 0.0343243 | − | 0.238731i | ||||
\(177\) | 5.08238 | − | 9.10161i | 0.382015 | − | 0.684119i | ||||
\(178\) | −9.33844 | − | 4.26472i | −0.699945 | − | 0.319654i | ||||
\(179\) | −0.471157 | + | 1.60461i | −0.0352159 | + | 0.119934i | −0.975225 | − | 0.221215i | \(-0.928998\pi\) |
0.940009 | + | 0.341149i | \(0.110816\pi\) | |||||||
\(180\) | 2.22962 | + | 2.00719i | 0.166186 | + | 0.149607i | ||||
\(181\) | −5.01373 | + | 0.720865i | −0.372667 | + | 0.0535815i | −0.326104 | − | 0.945334i | \(-0.605736\pi\) |
−0.0465633 | + | 0.998915i | \(0.514827\pi\) | |||||||
\(182\) | −0.577630 | − | 0.371220i | −0.0428168 | − | 0.0275167i | ||||
\(183\) | 10.3936 | − | 2.15808i | 0.768318 | − | 0.159530i | ||||
\(184\) | −0.854493 | − | 4.71909i | −0.0629941 | − | 0.347896i | ||||
\(185\) | − | 11.9758i | − | 0.880477i | ||||||
\(186\) | −10.7494 | − | 4.12572i | −0.788181 | − | 0.302513i | ||||
\(187\) | −1.08874 | − | 7.57233i | −0.0796163 | − | 0.553744i | ||||
\(188\) | 2.06411 | − | 0.942650i | 0.150541 | − | 0.0687498i | ||||
\(189\) | −7.33026 | + | 2.49915i | −0.533198 | + | 0.181787i | ||||
\(190\) | 1.02796 | − | 2.25092i | 0.0745762 | − | 0.163299i | ||||
\(191\) | 1.59327 | − | 1.83873i | 0.115285 | − | 0.133046i | −0.695174 | − | 0.718842i | \(-0.744673\pi\) |
0.810459 | + | 0.585796i | \(0.199218\pi\) | |||||||
\(192\) | −1.72873 | + | 0.107190i | −0.124760 | + | 0.00773580i | ||||
\(193\) | 10.8065 | − | 3.17308i | 0.777870 | − | 0.228403i | 0.131387 | − | 0.991331i | \(-0.458057\pi\) |
0.646484 | + | 0.762928i | \(0.276239\pi\) | |||||||
\(194\) | −0.777914 | − | 0.897760i | −0.0558510 | − | 0.0644554i | ||||
\(195\) | −0.558854 | − | 0.569545i | −0.0400204 | − | 0.0407860i | ||||
\(196\) | −4.01999 | + | 2.58349i | −0.287142 | + | 0.184535i | ||||
\(197\) | −15.4010 | + | 13.3450i | −1.09728 | + | 0.950795i | −0.999015 | − | 0.0443657i | \(-0.985873\pi\) |
−0.0982606 | + | 0.995161i | \(0.531328\pi\) | |||||||
\(198\) | 6.14748 | + | 7.37230i | 0.436883 | + | 0.523926i | ||||
\(199\) | 1.63691 | + | 0.235352i | 0.116037 | + | 0.0166836i | 0.200089 | − | 0.979778i | \(-0.435877\pi\) |
−0.0840515 | + | 0.996461i | \(0.526786\pi\) | |||||||
\(200\) | −0.755750 | − | 0.654861i | −0.0534396 | − | 0.0463056i | ||||
\(201\) | 2.79706 | − | 12.2959i | 0.197289 | − | 0.867283i | ||||
\(202\) | −10.7921 | − | 3.16884i | −0.759327 | − | 0.222959i | ||||
\(203\) | 3.05580 | + | 6.69128i | 0.214475 | + | 0.469636i | ||||
\(204\) | −3.89362 | + | 1.41037i | −0.272608 | + | 0.0987459i | ||||
\(205\) | −1.88892 | + | 2.93922i | −0.131928 | + | 0.205284i | ||||
\(206\) | −15.7170 | −1.09505 | ||||||||
\(207\) | 12.2369 | + | 7.56690i | 0.850524 | + | 0.525936i | ||||
\(208\) | 0.460688 | 0.0319429 | ||||||||
\(209\) | 4.28067 | − | 6.66085i | 0.296100 | − | 0.460741i | ||||
\(210\) | 2.42720 | − | 0.879196i | 0.167493 | − | 0.0606703i | ||||
\(211\) | 1.39424 | + | 3.05296i | 0.0959833 | + | 0.210174i | 0.951533 | − | 0.307546i | \(-0.0995080\pi\) |
−0.855550 | + | 0.517721i | \(0.826781\pi\) | |||||||
\(212\) | 6.61741 | + | 1.94305i | 0.454485 | + | 0.133449i | ||||
\(213\) | −2.39686 | + | 10.5366i | −0.164230 | + | 0.721954i | ||||
\(214\) | 13.7584 | + | 11.9218i | 0.940508 | + | 0.814955i | ||||
\(215\) | −3.53652 | − | 0.508475i | −0.241189 | − | 0.0346777i | ||||
\(216\) | 3.23089 | − | 4.06956i | 0.219834 | − | 0.276899i | ||||
\(217\) | −7.48784 | + | 6.48825i | −0.508307 | + | 0.440451i | ||||
\(218\) | −13.1935 | + | 8.47895i | −0.893577 | + | 0.574267i | ||||
\(219\) | 1.14511 | + | 1.16701i | 0.0773792 | + | 0.0788594i | ||||
\(220\) | −2.09535 | − | 2.41817i | −0.141269 | − | 0.163033i | ||||
\(221\) | 1.05685 | − | 0.310319i | 0.0710913 | − | 0.0208743i | ||||
\(222\) | −20.7029 | + | 1.28369i | −1.38949 | + | 0.0861556i | ||||
\(223\) | −8.85527 | + | 10.2195i | −0.592992 | + | 0.684350i | −0.970346 | − | 0.241719i | \(-0.922289\pi\) |
0.377354 | + | 0.926069i | \(0.376834\pi\) | |||||||
\(224\) | −0.619153 | + | 1.35576i | −0.0413689 | + | 0.0905853i | ||||
\(225\) | 2.97702 | − | 0.370607i | 0.198468 | − | 0.0247071i | ||||
\(226\) | 7.14697 | − | 3.26391i | 0.475410 | − | 0.217112i | ||||
\(227\) | 1.94294 | + | 13.5134i | 0.128957 | + | 0.896917i | 0.946880 | + | 0.321588i | \(0.104217\pi\) |
−0.817922 | + | 0.575328i | \(0.804874\pi\) | |||||||
\(228\) | −4.00142 | − | 1.53579i | −0.265001 | − | 0.101710i | ||||
\(229\) | 1.73080i | 0.114375i | 0.998363 | + | 0.0571873i | \(0.0182132\pi\) | ||||
−0.998363 | + | 0.0571873i | \(0.981787\pi\) | |||||||
\(230\) | −4.12603 | − | 2.44457i | −0.272062 | − | 0.161190i | ||||
\(231\) | 8.08759 | − | 1.67926i | 0.532125 | − | 0.110487i | ||||
\(232\) | −4.15197 | − | 2.66831i | −0.272590 | − | 0.175183i | ||||
\(233\) | −14.8144 | + | 2.12999i | −0.970525 | + | 0.139540i | −0.609302 | − | 0.792939i | \(-0.708550\pi\) |
−0.361224 | + | 0.932479i | \(0.617641\pi\) | |||||||
\(234\) | −0.924686 | + | 1.02716i | −0.0604486 | + | 0.0671474i | ||||
\(235\) | 0.639301 | − | 2.17726i | 0.0417034 | − | 0.142029i | ||||
\(236\) | 5.47469 | + | 2.50021i | 0.356372 | + | 0.162750i | ||||
\(237\) | 7.08098 | − | 12.6807i | 0.459959 | − | 0.823703i | ||||
\(238\) | −0.507143 | + | 3.52726i | −0.0328732 | + | 0.228638i | ||||
\(239\) | 7.10618 | + | 24.2014i | 0.459661 | + | 1.56546i | 0.784772 | + | 0.619785i | \(0.212780\pi\) |
−0.325111 | + | 0.945676i | \(0.605402\pi\) | |||||||
\(240\) | −1.05107 | + | 1.37668i | −0.0678462 | + | 0.0888645i | ||||
\(241\) | −0.659232 | − | 1.02579i | −0.0424649 | − | 0.0660766i | 0.819372 | − | 0.573262i | \(-0.194322\pi\) |
−0.861837 | + | 0.507185i | \(0.830686\pi\) | |||||||
\(242\) | 0.411949 | + | 0.641005i | 0.0264811 | + | 0.0412054i | ||||
\(243\) | 2.58858 | + | 15.3720i | 0.166057 | + | 0.986116i | ||||
\(244\) | 1.72667 | + | 5.88049i | 0.110539 | + | 0.376460i | ||||
\(245\) | −0.680062 | + | 4.72993i | −0.0434476 | + | 0.302184i | ||||
\(246\) | 5.28359 | + | 2.95038i | 0.336869 | + | 0.188109i | ||||
\(247\) | 1.03697 | + | 0.473569i | 0.0659809 | + | 0.0301325i | ||||
\(248\) | 1.87283 | − | 6.37829i | 0.118925 | − | 0.405022i | ||||
\(249\) | −11.0747 | + | 8.12784i | −0.701830 | + | 0.515081i | ||||
\(250\) | −0.989821 | + | 0.142315i | −0.0626018 | + | 0.00900078i | ||||
\(251\) | −5.36013 | − | 3.44475i | −0.338328 | − | 0.217430i | 0.360433 | − | 0.932785i | \(-0.382629\pi\) |
−0.698762 | + | 0.715355i | \(0.746265\pi\) | |||||||
\(252\) | −1.78007 | − | 4.10173i | −0.112134 | − | 0.258385i | ||||
\(253\) | −11.9545 | − | 9.62109i | −0.751571 | − | 0.604873i | ||||
\(254\) | − | 12.5868i | − | 0.789765i | ||||||
\(255\) | −1.48389 | + | 3.86620i | −0.0929248 | + | 0.242111i | ||||
\(256\) | −0.142315 | − | 0.989821i | −0.00889468 | − | 0.0618638i | ||||
\(257\) | 6.14023 | − | 2.80415i | 0.383017 | − | 0.174918i | −0.214596 | − | 0.976703i | \(-0.568843\pi\) |
0.597613 | + | 0.801785i | \(0.296116\pi\) | |||||||
\(258\) | −0.499935 | + | 6.16819i | −0.0311246 | + | 0.384015i | ||||
\(259\) | −7.41485 | + | 16.2362i | −0.460736 | + | 1.00887i | ||||
\(260\) | 0.301686 | − | 0.348165i | 0.0187098 | − | 0.0215922i | ||||
\(261\) | 14.2831 | − | 3.90152i | 0.884101 | − | 0.241498i | ||||
\(262\) | 3.18429 | − | 0.934991i | 0.196726 | − | 0.0577639i | ||||
\(263\) | −4.85550 | − | 5.60355i | −0.299403 | − | 0.345530i | 0.586036 | − | 0.810285i | \(-0.300688\pi\) |
−0.885439 | + | 0.464755i | \(0.846142\pi\) | |||||||
\(264\) | −3.95576 | + | 3.88151i | −0.243460 | + | 0.238890i | ||||
\(265\) | 5.80194 | − | 3.72868i | 0.356410 | − | 0.229051i | ||||
\(266\) | −2.78733 | + | 2.41524i | −0.170902 | + | 0.148088i | ||||
\(267\) | 8.37355 | + | 15.6865i | 0.512453 | + | 0.959999i | ||||
\(268\) | 7.20627 | + | 1.03611i | 0.440193 | + | 0.0632902i | ||||
\(269\) | −19.5675 | − | 16.9553i | −1.19305 | − | 1.03379i | −0.998601 | − | 0.0528727i | \(-0.983162\pi\) |
−0.194450 | − | 0.980912i | \(-0.562292\pi\) | |||||||
\(270\) | −0.959787 | − | 5.10674i | −0.0584108 | − | 0.310786i | ||||
\(271\) | −5.34510 | − | 1.56946i | −0.324691 | − | 0.0953380i | 0.115325 | − | 0.993328i | \(-0.463209\pi\) |
−0.440016 | + | 0.897990i | \(0.645027\pi\) | |||||||
\(272\) | −0.993222 | − | 2.17485i | −0.0602230 | − | 0.131870i | ||||
\(273\) | 0.405035 | + | 1.11818i | 0.0245138 | + | 0.0676754i | ||||
\(274\) | 1.65809 | − | 2.58003i | 0.100169 | − | 0.155865i | ||||
\(275\) | −3.19969 | −0.192949 | ||||||||
\(276\) | −3.78373 | + | 7.39482i | −0.227754 | + | 0.445116i | ||||
\(277\) | 17.1356 | 1.02958 | 0.514790 | − | 0.857316i | \(-0.327870\pi\) | ||||
0.514790 | + | 0.857316i | \(0.327870\pi\) | |||||||
\(278\) | −2.09029 | + | 3.25256i | −0.125367 | + | 0.195076i | ||||
\(279\) | 10.4620 | + | 16.9781i | 0.626345 | + | 1.01645i | ||||
\(280\) | 0.619153 | + | 1.35576i | 0.0370015 | + | 0.0810219i | ||||
\(281\) | 7.96339 | + | 2.33826i | 0.475056 | + | 0.139489i | 0.510491 | − | 0.859883i | \(-0.329464\pi\) |
−0.0354351 | + | 0.999372i | \(0.511282\pi\) | |||||||
\(282\) | −3.83242 | − | 0.871798i | −0.228217 | − | 0.0519148i | ||||
\(283\) | −17.0131 | − | 14.7419i | −1.01132 | − | 0.876317i | −0.0189799 | − | 0.999820i | \(-0.506042\pi\) |
−0.992344 | + | 0.123503i | \(0.960587\pi\) | |||||||
\(284\) | −6.17520 | − | 0.887860i | −0.366431 | − | 0.0526848i | ||||
\(285\) | −3.78105 | + | 2.01835i | −0.223970 | + | 0.119556i | ||||
\(286\) | 1.11402 | − | 0.965304i | 0.0658734 | − | 0.0570796i | ||||
\(287\) | 4.38074 | − | 2.81533i | 0.258587 | − | 0.166184i | ||||
\(288\) | 2.49258 | + | 1.66945i | 0.146877 | + | 0.0983732i | ||||
\(289\) | 7.38913 | + | 8.52752i | 0.434655 | + | 0.501619i | ||||
\(290\) | −4.73554 | + | 1.39048i | −0.278080 | + | 0.0816517i | ||||
\(291\) | 0.127332 | + | 2.05357i | 0.00746435 | + | 0.120383i | ||||
\(292\) | −0.618163 | + | 0.713398i | −0.0361753 | + | 0.0417485i | ||||
\(293\) | 12.6712 | − | 27.7461i | 0.740261 | − | 1.62095i | −0.0428636 | − | 0.999081i | \(-0.513648\pi\) |
0.783125 | − | 0.621865i | \(-0.213625\pi\) | |||||||
\(294\) | 8.24968 | + | 0.668641i | 0.481131 | + | 0.0389959i | ||||
\(295\) | 5.47469 | − | 2.50021i | 0.318749 | − | 0.145568i | ||||
\(296\) | −1.70433 | − | 11.8539i | −0.0990623 | − | 0.688993i | ||||
\(297\) | −0.714340 | − | 16.6107i | −0.0414502 | − | 0.963853i | ||||
\(298\) | − | 7.75562i | − | 0.449271i | ||||||
\(299\) | 1.12618 | − | 1.90081i | 0.0651288 | − | 0.109927i | ||||
\(300\) | 0.352123 | + | 1.69588i | 0.0203299 | + | 0.0979117i | ||||
\(301\) | 4.47983 | + | 2.87901i | 0.258213 | + | 0.165944i | ||||
\(302\) | 11.4558 | − | 1.64709i | 0.659207 | − | 0.0947796i | ||||
\(303\) | 11.5266 | + | 15.7057i | 0.662185 | + | 0.902268i | ||||
\(304\) | 0.697159 | − | 2.37430i | 0.0399848 | − | 0.136176i | ||||
\(305\) | 5.57490 | + | 2.54597i | 0.319218 | + | 0.145782i | ||||
\(306\) | 6.84268 | + | 2.15083i | 0.391170 | + | 0.122955i | ||||
\(307\) | 0.215682 | − | 1.50010i | 0.0123096 | − | 0.0856151i | −0.982741 | − | 0.184989i | \(-0.940775\pi\) |
0.995050 | + | 0.0993741i | \(0.0316841\pi\) | |||||||
\(308\) | 1.34357 | + | 4.57579i | 0.0765572 | + | 0.260730i | ||||
\(309\) | 21.6373 | + | 16.5196i | 1.23090 | + | 0.939767i | ||||
\(310\) | −3.59394 | − | 5.59229i | −0.204122 | − | 0.317620i | ||||
\(311\) | 0.504859 | + | 0.785576i | 0.0286279 | + | 0.0445459i | 0.855273 | − | 0.518178i | \(-0.173390\pi\) |
−0.826645 | + | 0.562724i | \(0.809753\pi\) | |||||||
\(312\) | −0.634221 | − | 0.484215i | −0.0359057 | − | 0.0274132i | ||||
\(313\) | 7.96321 | + | 27.1202i | 0.450107 | + | 1.53292i | 0.802256 | + | 0.596981i | \(0.203633\pi\) |
−0.352148 | + | 0.935944i | \(0.614549\pi\) | |||||||
\(314\) | 0.448967 | − | 3.12263i | 0.0253367 | − | 0.176220i | ||||
\(315\) | −4.26558 | − | 1.34078i | −0.240338 | − | 0.0755444i | ||||
\(316\) | 7.62757 | + | 3.48339i | 0.429084 | + | 0.195956i | ||||
\(317\) | 8.12969 | − | 27.6872i | 0.456609 | − | 1.55507i | −0.333895 | − | 0.942610i | \(-0.608363\pi\) |
0.790504 | − | 0.612457i | \(-0.209819\pi\) | |||||||
\(318\) | −7.06779 | − | 9.63031i | −0.396342 | − | 0.540041i | ||||
\(319\) | −15.6312 | + | 2.24743i | −0.875180 | + | 0.125832i | ||||
\(320\) | −0.841254 | − | 0.540641i | −0.0470275 | − | 0.0302227i | ||||
\(321\) | −6.41042 | − | 30.8736i | −0.357795 | − | 1.72319i | ||||
\(322\) | 4.08033 | + | 5.86888i | 0.227388 | + | 0.327060i | ||||
\(323\) | − | 5.91642i | − | 0.329198i | ||||||
\(324\) | −8.72530 | + | 2.20661i | −0.484739 | + | 0.122589i | ||||
\(325\) | −0.0655627 | − | 0.455999i | −0.00363676 | − | 0.0252943i | ||||
\(326\) | −19.4048 | + | 8.86188i | −1.07473 | + | 0.490814i | ||||
\(327\) | 27.0752 | + | 2.19446i | 1.49726 | + | 0.121354i | ||||
\(328\) | −1.45140 | + | 3.17812i | −0.0801401 | + | 0.175482i | ||||
\(329\) | −2.21479 | + | 2.55601i | −0.122105 | + | 0.140917i | ||||
\(330\) | 0.342976 | + | 5.53141i | 0.0188802 | + | 0.304494i | ||||
\(331\) | 26.6680 | − | 7.83042i | 1.46580 | − | 0.430399i | 0.551071 | − | 0.834458i | \(-0.314219\pi\) |
0.914733 | + | 0.404059i | \(0.132401\pi\) | |||||||
\(332\) | −5.19381 | − | 5.99398i | −0.285048 | − | 0.328962i | ||||
\(333\) | 29.8506 | + | 19.9929i | 1.63580 | + | 1.09561i | ||||
\(334\) | 20.8033 | − | 13.3694i | 1.13830 | − | 0.731543i | ||||
\(335\) | 5.50214 | − | 4.76763i | 0.300614 | − | 0.260484i | ||||
\(336\) | 2.27737 | − | 1.21567i | 0.124241 | − | 0.0663204i | ||||
\(337\) | 27.1460 | + | 3.90301i | 1.47874 | + | 0.212610i | 0.833988 | − | 0.551783i | \(-0.186052\pi\) |
0.644750 | + | 0.764393i | \(0.276961\pi\) | |||||||
\(338\) | −9.66435 | − | 8.37421i | −0.525671 | − | 0.455497i | ||||
\(339\) | −13.2697 | − | 3.01859i | −0.720712 | − | 0.163947i | ||||
\(340\) | −2.29407 | − | 0.673599i | −0.124413 | − | 0.0365310i | ||||
\(341\) | −8.83594 | − | 19.3480i | −0.478493 | − | 1.04775i | ||||
\(342\) | 3.89447 | + | 6.32007i | 0.210589 | + | 0.341750i | ||||
\(343\) | 9.49112 | − | 14.7685i | 0.512472 | − | 0.797423i | ||||
\(344\) | −3.57289 | −0.192637 | ||||||||
\(345\) | 3.11082 | + | 7.70213i | 0.167481 | + | 0.414669i | ||||
\(346\) | 7.79701 | 0.419170 | ||||||||
\(347\) | −6.63793 | + | 10.3288i | −0.356343 | + | 0.554480i | −0.972429 | − | 0.233198i | \(-0.925081\pi\) |
0.616086 | + | 0.787679i | \(0.288717\pi\) | |||||||
\(348\) | 2.91137 | + | 8.03742i | 0.156066 | + | 0.430851i | ||||
\(349\) | 5.44380 | + | 11.9203i | 0.291400 | + | 0.638076i | 0.997548 | − | 0.0699878i | \(-0.0222960\pi\) |
−0.706148 | + | 0.708064i | \(0.749569\pi\) | |||||||
\(350\) | 1.43007 | + | 0.419907i | 0.0764405 | + | 0.0224450i | ||||
\(351\) | 2.35261 | − | 0.442162i | 0.125573 | − | 0.0236009i | ||||
\(352\) | −2.41817 | − | 2.09535i | −0.128889 | − | 0.111683i | ||||
\(353\) | −22.5811 | − | 3.24668i | −1.20187 | − | 0.172803i | −0.487851 | − | 0.872927i | \(-0.662219\pi\) |
−0.714022 | + | 0.700124i | \(0.753128\pi\) | |||||||
\(354\) | −4.90902 | − | 9.19627i | −0.260912 | − | 0.488776i | ||||
\(355\) | −4.71490 | + | 4.08548i | −0.250241 | + | 0.216835i | ||||
\(356\) | −8.63645 | + | 5.55031i | −0.457731 | + | 0.294166i | ||||
\(357\) | 4.40556 | − | 4.32287i | 0.233167 | − | 0.228791i | ||||
\(358\) | 1.09516 | + | 1.26388i | 0.0578810 | + | 0.0667982i | ||||
\(359\) | 17.0544 | − | 5.00762i | 0.900096 | − | 0.264292i | 0.201230 | − | 0.979544i | \(-0.435506\pi\) |
0.698867 | + | 0.715252i | \(0.253688\pi\) | |||||||
\(360\) | 2.89398 | − | 0.790509i | 0.152526 | − | 0.0416635i | ||||
\(361\) | −8.43241 | + | 9.73152i | −0.443811 | + | 0.512185i | ||||
\(362\) | −2.10419 | + | 4.60754i | −0.110594 | + | 0.242167i | ||||
\(363\) | 0.106618 | − | 1.31545i | 0.00559597 | − | 0.0690431i | ||||
\(364\) | −0.624580 | + | 0.285236i | −0.0327369 | + | 0.0149504i | ||||
\(365\) | 0.134340 | + | 0.934353i | 0.00703166 | + | 0.0489063i | ||||
\(366\) | 3.80373 | − | 9.91041i | 0.198824 | − | 0.518026i | ||||
\(367\) | 20.4214i | 1.06599i | 0.846119 | + | 0.532994i | \(0.178933\pi\) | ||||
−0.846119 | + | 0.532994i | \(0.821067\pi\) | |||||||
\(368\) | −4.43193 | − | 1.83249i | −0.231030 | − | 0.0955251i | ||||
\(369\) | −4.17277 | − | 9.61514i | −0.217226 | − | 0.500544i | ||||
\(370\) | −10.0747 | − | 6.47460i | −0.523757 | − | 0.336598i | ||||
\(371\) | −10.1746 | + | 1.46289i | −0.528241 | + | 0.0759496i | ||||
\(372\) | −9.28232 | + | 6.81240i | −0.481266 | + | 0.353207i | ||||
\(373\) | −7.45040 | + | 25.3737i | −0.385767 | + | 1.31380i | 0.506479 | + | 0.862252i | \(0.330947\pi\) |
−0.892246 | + | 0.451549i | \(0.850871\pi\) | |||||||
\(374\) | −6.95886 | − | 3.17801i | −0.359834 | − | 0.164331i | ||||
\(375\) | 1.51225 | + | 0.844448i | 0.0780924 | + | 0.0436071i | ||||
\(376\) | 0.322937 | − | 2.24608i | 0.0166542 | − | 0.115833i | ||||
\(377\) | −0.640576 | − | 2.18160i | −0.0329914 | − | 0.112358i | ||||
\(378\) | −1.86062 | + | 7.51775i | −0.0956999 | + | 0.386671i | ||||
\(379\) | −1.53770 | − | 2.39271i | −0.0789864 | − | 0.122905i | 0.799513 | − | 0.600649i | \(-0.205091\pi\) |
−0.878499 | + | 0.477744i | \(0.841455\pi\) | |||||||
\(380\) | −1.33784 | − | 2.08172i | −0.0686296 | − | 0.106790i | ||||
\(381\) | −13.2296 | + | 17.3280i | −0.677772 | + | 0.887741i | ||||
\(382\) | −0.685453 | − | 2.33444i | −0.0350708 | − | 0.119440i | ||||
\(383\) | −2.60995 | + | 18.1526i | −0.133362 | + | 0.927556i | 0.807765 | + | 0.589504i | \(0.200677\pi\) |
−0.941128 | + | 0.338051i | \(0.890232\pi\) | |||||||
\(384\) | −0.844448 | + | 1.51225i | −0.0430931 | + | 0.0771718i | ||||
\(385\) | 4.33800 | + | 1.98110i | 0.221085 | + | 0.100966i | ||||
\(386\) | 3.17308 | − | 10.8065i | 0.161506 | − | 0.550037i | ||||
\(387\) | 7.17145 | − | 7.96618i | 0.364545 | − | 0.404943i | ||||
\(388\) | −1.17582 | + | 0.169057i | −0.0596930 | + | 0.00858256i | ||||
\(389\) | 5.15795 | + | 3.31482i | 0.261519 | + | 0.168068i | 0.664829 | − | 0.746995i | \(-0.268504\pi\) |
−0.403311 | + | 0.915063i | \(0.632141\pi\) | |||||||
\(390\) | −0.781271 | + | 0.162219i | −0.0395612 | + | 0.00821427i | ||||
\(391\) | −11.4015 | − | 1.21851i | −0.576599 | − | 0.0616228i | ||||
\(392\) | 4.77857i | 0.241354i | ||||||||
\(393\) | −5.36649 | − | 2.05972i | −0.270704 | − | 0.103899i | ||||
\(394\) | 2.90016 | + | 20.1710i | 0.146108 | + | 1.01620i | ||||
\(395\) | 7.62757 | − | 3.48339i | 0.383785 | − | 0.175269i | ||||
\(396\) | 9.52555 | − | 1.18583i | 0.478677 | − | 0.0595901i | ||||
\(397\) | 4.31403 | − | 9.44640i | 0.216515 | − | 0.474101i | −0.769944 | − | 0.638112i | \(-0.779716\pi\) |
0.986459 | + | 0.164011i | \(0.0524431\pi\) | |||||||
\(398\) | 1.08297 | − | 1.24981i | 0.0542843 | − | 0.0626474i | ||||
\(399\) | 6.37585 | − | 0.395336i | 0.319192 | − | 0.0197916i | ||||
\(400\) | −0.959493 | + | 0.281733i | −0.0479746 | + | 0.0140866i | ||||
\(401\) | 10.4864 | + | 12.1020i | 0.523668 | + | 0.604345i | 0.954545 | − | 0.298066i | \(-0.0963414\pi\) |
−0.430878 | + | 0.902410i | \(0.641796\pi\) | |||||||
\(402\) | −8.83173 | − | 9.00068i | −0.440487 | − | 0.448913i | ||||
\(403\) | 2.57630 | − | 1.65569i | 0.128335 | − | 0.0824756i | ||||
\(404\) | −8.50043 | + | 7.36566i | −0.422912 | + | 0.366455i | ||||
\(405\) | −4.04622 | + | 8.03916i | −0.201058 | + | 0.399469i | ||||
\(406\) | 7.28115 | + | 1.04687i | 0.361358 | + | 0.0519554i | ||||
\(407\) | −28.9594 | − | 25.0935i | −1.43547 | − | 1.24384i | ||||
\(408\) | −0.918569 | + | 4.03803i | −0.0454760 | + | 0.199912i | ||||
\(409\) | 22.0048 | + | 6.46120i | 1.08807 | + | 0.319486i | 0.776102 | − | 0.630607i | \(-0.217194\pi\) |
0.311967 | + | 0.950093i | \(0.399012\pi\) | |||||||
\(410\) | 1.45140 | + | 3.17812i | 0.0716795 | + | 0.156956i | ||||
\(411\) | −4.99445 | + | 1.80912i | −0.246358 | + | 0.0892374i | ||||
\(412\) | −8.49723 | + | 13.2219i | −0.418628 | + | 0.651398i | ||||
\(413\) | −8.97036 | −0.441403 | ||||||||
\(414\) | 12.9815 | − | 6.20337i | 0.638004 | − | 0.304879i | ||||
\(415\) | −7.93117 | −0.389326 | ||||||||
\(416\) | 0.249067 | − | 0.387555i | 0.0122115 | − | 0.0190015i | ||||
\(417\) | 6.29633 | − | 2.28070i | 0.308333 | − | 0.111686i | ||||
\(418\) | −3.28916 | − | 7.20226i | −0.160878 | − | 0.352274i | ||||
\(419\) | 29.0624 | + | 8.53348i | 1.41979 | + | 0.416888i | 0.899432 | − | 0.437061i | \(-0.143981\pi\) |
0.520357 | + | 0.853949i | \(0.325799\pi\) | |||||||
\(420\) | 0.572616 | − | 2.51722i | 0.0279408 | − | 0.122828i | ||||
\(421\) | 29.3756 | + | 25.4541i | 1.43168 | + | 1.24056i | 0.925831 | + | 0.377938i | \(0.123367\pi\) |
0.505850 | + | 0.862621i | \(0.331179\pi\) | |||||||
\(422\) | 3.32209 | + | 0.477645i | 0.161717 | + | 0.0232514i | ||||
\(423\) | 4.35971 | + | 5.22833i | 0.211976 | + | 0.254210i | ||||
\(424\) | 5.21223 | − | 4.51643i | 0.253128 | − | 0.219337i | ||||
\(425\) | −2.01137 | + | 1.29263i | −0.0975656 | + | 0.0627016i | ||||
\(426\) | 7.56809 | + | 7.71287i | 0.366675 | + | 0.373690i | ||||
\(427\) | −5.98186 | − | 6.90344i | −0.289483 | − | 0.334081i | ||||
\(428\) | 17.4676 | − | 5.12895i | 0.844328 | − | 0.247917i | ||||
\(429\) | −2.54825 | + | 0.158005i | −0.123031 | + | 0.00762855i | ||||
\(430\) | −2.33974 | + | 2.70021i | −0.112832 | + | 0.130216i | ||||
\(431\) | 14.9985 | − | 32.8420i | 0.722450 | − | 1.58195i | −0.0879879 | − | 0.996122i | \(-0.528044\pi\) |
0.810438 | − | 0.585824i | \(-0.199229\pi\) | |||||||
\(432\) | −1.67678 | − | 4.91817i | −0.0806743 | − | 0.236626i | ||||
\(433\) | −10.7052 | + | 4.88890i | −0.514459 | + | 0.234945i | −0.655689 | − | 0.755031i | \(-0.727622\pi\) |
0.141230 | + | 0.989977i | \(0.454894\pi\) | |||||||
\(434\) | 1.41003 | + | 9.80698i | 0.0676836 | + | 0.470750i | ||||
\(435\) | 7.98082 | + | 3.06313i | 0.382651 | + | 0.146866i | ||||
\(436\) | 15.6832i | 0.751087i | ||||||||
\(437\) | −8.09219 | − | 8.68064i | −0.387102 | − | 0.415251i | ||||
\(438\) | 1.60084 | − | 0.332391i | 0.0764913 | − | 0.0158822i | ||||
\(439\) | −15.1935 | − | 9.76428i | −0.725147 | − | 0.466024i | 0.125277 | − | 0.992122i | \(-0.460018\pi\) |
−0.850424 | + | 0.526098i | \(0.823654\pi\) | |||||||
\(440\) | −3.16712 | + | 0.455364i | −0.150987 | + | 0.0217086i | ||||
\(441\) | −10.6544 | − | 9.59149i | −0.507352 | − | 0.456738i | ||||
\(442\) | 0.310319 | − | 1.05685i | 0.0147604 | − | 0.0502692i | ||||
\(443\) | −4.43826 | − | 2.02689i | −0.210868 | − | 0.0963003i | 0.307181 | − | 0.951651i | \(-0.400614\pi\) |
−0.518049 | + | 0.855351i | \(0.673342\pi\) | |||||||
\(444\) | −10.1129 | + | 18.1104i | −0.479938 | + | 0.859482i | ||||
\(445\) | −1.46103 | + | 10.1617i | −0.0692594 | + | 0.481710i | ||||
\(446\) | 3.80969 | + | 12.9746i | 0.180394 | + | 0.614366i | ||||
\(447\) | −8.15169 | + | 10.6770i | −0.385562 | + | 0.505006i | ||||
\(448\) | 0.805795 | + | 1.25384i | 0.0380703 | + | 0.0592385i | ||||
\(449\) | −19.1070 | − | 29.7311i | −0.901715 | − | 1.40310i | −0.915118 | − | 0.403185i | \(-0.867903\pi\) |
0.0134037 | − | 0.999910i | \(-0.495733\pi\) | |||||||
\(450\) | 1.29772 | − | 2.70479i | 0.0611753 | − | 0.127505i | ||||
\(451\) | 3.14956 | + | 10.7264i | 0.148307 | + | 0.505087i | ||||
\(452\) | 1.11817 | − | 7.77702i | 0.0525941 | − | 0.365800i | ||||
\(453\) | −17.5022 | − | 9.77330i | −0.822325 | − | 0.459190i | ||||
\(454\) | 12.4186 | + | 5.67140i | 0.582835 | + | 0.266172i | ||||
\(455\) | −0.193446 | + | 0.658816i | −0.00906889 | + | 0.0308858i | ||||
\(456\) | −3.45532 | + | 2.53590i | −0.161810 | + | 0.118754i | ||||
\(457\) | −22.0690 | + | 3.17305i | −1.03235 | + | 0.148429i | −0.637605 | − | 0.770364i | \(-0.720075\pi\) |
−0.394741 | + | 0.918792i | \(0.629166\pi\) | |||||||
\(458\) | 1.45604 | + | 0.935742i | 0.0680365 | + | 0.0437244i | ||||
\(459\) | −7.15953 | − | 10.1531i | −0.334178 | − | 0.473908i | ||||
\(460\) | −4.28720 | + | 2.14940i | −0.199892 | + | 0.100216i | ||||
\(461\) | 7.65706i | 0.356625i | 0.983974 | + | 0.178312i | \(0.0570637\pi\) | ||||
−0.983974 | + | 0.178312i | \(0.942936\pi\) | |||||||
\(462\) | 2.95980 | − | 7.71160i | 0.137702 | − | 0.358776i | ||||
\(463\) | −4.90050 | − | 34.0837i | −0.227746 | − | 1.58401i | −0.707572 | − | 0.706642i | \(-0.750209\pi\) |
0.479826 | − | 0.877364i | \(-0.340700\pi\) | |||||||
\(464\) | −4.48945 | + | 2.05026i | −0.208417 | + | 0.0951811i | ||||
\(465\) | −0.930158 | + | 11.4763i | −0.0431351 | + | 0.532200i | ||||
\(466\) | −6.21742 | + | 13.6143i | −0.288016 | + | 0.630668i | ||||
\(467\) | −15.2617 | + | 17.6130i | −0.706228 | + | 0.815030i | −0.989580 | − | 0.143986i | \(-0.954008\pi\) |
0.283352 | + | 0.959016i | \(0.408554\pi\) | |||||||
\(468\) | 0.364178 | + | 1.33322i | 0.0168341 | + | 0.0616281i | ||||
\(469\) | −10.4115 | + | 3.05708i | −0.480757 | + | 0.141163i | ||||
\(470\) | −1.48599 | − | 1.71493i | −0.0685438 | − | 0.0791038i | ||||
\(471\) | −3.90019 | + | 3.82698i | −0.179711 | + | 0.176338i | ||||
\(472\) | 5.06315 | − | 3.25389i | 0.233050 | − | 0.149772i | ||||
\(473\) | −8.63983 | + | 7.48646i | −0.397260 | + | 0.344228i | ||||
\(474\) | −6.83945 | − | 12.8126i | −0.314147 | − | 0.588504i | ||||
\(475\) | −2.44935 | − | 0.352164i | −0.112384 | − | 0.0161584i | ||||
\(476\) | 2.69314 | + | 2.33361i | 0.123440 | + | 0.106961i | ||||
\(477\) | −0.392011 | + | 20.6866i | −0.0179490 | + | 0.947175i | ||||
\(478\) | 24.2014 | + | 7.10618i | 1.10695 | + | 0.325029i | ||||
\(479\) | −2.83658 | − | 6.21125i | −0.129607 | − | 0.283799i | 0.833692 | − | 0.552229i | \(-0.186223\pi\) |
−0.963299 | + | 0.268430i | \(0.913495\pi\) | |||||||
\(480\) | 0.589888 | + | 1.62851i | 0.0269246 | + | 0.0743308i | ||||
\(481\) | 2.98277 | − | 4.64128i | 0.136003 | − | 0.211624i | ||||
\(482\) | −1.21935 | −0.0555400 | ||||||||
\(483\) | 0.551283 | − | 12.3683i | 0.0250842 | − | 0.562776i | ||||
\(484\) | 0.761964 | 0.0346347 | ||||||||
\(485\) | −0.642231 | + | 0.999331i | −0.0291622 | + | 0.0453773i | ||||
\(486\) | 14.3313 | + | 6.13310i | 0.650079 | + | 0.278203i | ||||
\(487\) | 5.04845 | + | 11.0546i | 0.228767 | + | 0.500930i | 0.988853 | − | 0.148892i | \(-0.0475707\pi\) |
−0.760086 | + | 0.649822i | \(0.774843\pi\) | |||||||
\(488\) | 5.88049 | + | 1.72667i | 0.266197 | + | 0.0781626i | ||||
\(489\) | 36.0287 | + | 8.19580i | 1.62927 | + | 0.370627i | ||||
\(490\) | 3.61141 | + | 3.12930i | 0.163147 | + | 0.141367i | ||||
\(491\) | 30.4523 | + | 4.37837i | 1.37429 | + | 0.197593i | 0.789580 | − | 0.613648i | \(-0.210299\pi\) |
0.584712 | + | 0.811241i | \(0.301208\pi\) | |||||||
\(492\) | 5.33854 | − | 2.84974i | 0.240680 | − | 0.128476i | ||||
\(493\) | −8.91804 | + | 7.72753i | −0.401648 | + | 0.348030i | ||||
\(494\) | 0.959021 | − | 0.616325i | 0.0431484 | − | 0.0277298i | ||||
\(495\) | 5.34172 | − | 7.97548i | 0.240093 | − | 0.358471i | ||||
\(496\) | −4.35323 | − | 5.02389i | −0.195466 | − | 0.225579i | ||||
\(497\) | 8.92179 | − | 2.61968i | 0.400197 | − | 0.117508i | ||||
\(498\) | 0.850145 | + | 13.7109i | 0.0380959 | + | 0.614398i | ||||
\(499\) | 14.0785 | − | 16.2475i | 0.630241 | − | 0.727337i | −0.347377 | − | 0.937726i | \(-0.612928\pi\) |
0.977618 | + | 0.210389i | \(0.0674730\pi\) | |||||||
\(500\) | −0.415415 | + | 0.909632i | −0.0185779 | + | 0.0406800i | ||||
\(501\) | −42.6917 | − | 3.46018i | −1.90732 | − | 0.154589i | ||||
\(502\) | −5.79581 | + | 2.64686i | −0.258680 | + | 0.118135i | ||||
\(503\) | 3.04247 | + | 21.1609i | 0.135657 | + | 0.943516i | 0.937996 | + | 0.346647i | \(0.112680\pi\) |
−0.802338 | + | 0.596869i | \(0.796411\pi\) | |||||||
\(504\) | −4.41297 | − | 0.720077i | −0.196569 | − | 0.0320748i | ||||
\(505\) | 11.2477i | 0.500515i | ||||||||
\(506\) | −14.5569 | + | 4.85519i | −0.647131 | + | 0.215840i | ||||
\(507\) | 4.50287 | + | 21.6865i | 0.199980 | + | 0.963132i | ||||
\(508\) | −10.5887 | − | 6.80493i | −0.469797 | − | 0.301920i | ||||
\(509\) | 0.606624 | − | 0.0872193i | 0.0268881 | − | 0.00386593i | −0.128858 | − | 0.991663i | \(-0.541131\pi\) |
0.155746 | + | 0.987797i | \(0.450222\pi\) | |||||||
\(510\) | 2.45020 | + | 3.33855i | 0.108497 | + | 0.147834i | ||||
\(511\) | 0.396376 | − | 1.34993i | 0.0175346 | − | 0.0597175i | ||||
\(512\) | −0.909632 | − | 0.415415i | −0.0402004 | − | 0.0183589i | ||||
\(513\) | 1.28138 | − | 12.7941i | 0.0565744 | − | 0.564873i | ||||
\(514\) | 0.960659 | − | 6.68153i | 0.0423728 | − | 0.294710i | ||||
\(515\) | 4.42798 | + | 15.0803i | 0.195120 | + | 0.664518i | ||||
\(516\) | 4.91873 | + | 3.75535i | 0.216535 | + | 0.165320i | ||||
\(517\) | −3.92541 | − | 6.10806i | −0.172639 | − | 0.268632i | ||||
\(518\) | 9.65003 | + | 15.0157i | 0.423998 | + | 0.659754i | ||||
\(519\) | −10.7340 | − | 8.19520i | −0.471171 | − | 0.359729i | ||||
\(520\) | −0.129791 | − | 0.442027i | −0.00569170 | − | 0.0193842i | ||||
\(521\) | −3.27469 | + | 22.7760i | −0.143467 | + | 0.997834i | 0.783152 | + | 0.621831i | \(0.213611\pi\) |
−0.926618 | + | 0.376003i | \(0.877298\pi\) | |||||||
\(522\) | 4.43985 | − | 14.1250i | 0.194327 | − | 0.618235i | ||||
\(523\) | −25.8751 | − | 11.8168i | −1.13144 | − | 0.516711i | −0.240417 | − | 0.970670i | \(-0.577284\pi\) |
−0.891023 | + | 0.453958i | \(0.850011\pi\) | |||||||
\(524\) | 0.934991 | − | 3.18429i | 0.0408453 | − | 0.139106i | ||||
\(525\) | −1.52740 | − | 2.08118i | −0.0666613 | − | 0.0908302i | ||||
\(526\) | −7.33909 | + | 1.05520i | −0.320000 | + | 0.0460090i | ||||
\(527\) | −13.3707 | − | 8.59282i | −0.582436 | − | 0.374309i | ||||
\(528\) | 1.12669 | + | 5.42630i | 0.0490327 | + | 0.236149i | ||||
\(529\) | −18.3950 | + | 13.8066i | −0.799784 | + | 0.600287i | ||||
\(530\) | − | 6.89677i | − | 0.299577i | ||||||
\(531\) | −2.90775 | + | 17.8201i | −0.126186 | + | 0.773325i | ||||
\(532\) | 0.524881 | + | 3.65063i | 0.0227565 | + | 0.158275i | ||||
\(533\) | −1.46412 | + | 0.668642i | −0.0634181 | + | 0.0289621i | ||||
\(534\) | 17.7234 | + | 1.43649i | 0.766967 | + | 0.0621630i | ||||
\(535\) | 7.56264 | − | 16.5599i | 0.326962 | − | 0.715946i | ||||
\(536\) | 4.76763 | − | 5.50214i | 0.205930 | − | 0.237656i | ||||
\(537\) | −0.179260 | − | 2.89105i | −0.00773565 | − | 0.124758i | ||||
\(538\) | −24.8427 | + | 7.29448i | −1.07105 | + | 0.314487i | ||||
\(539\) | 10.0128 | + | 11.5554i | 0.431282 | + | 0.497726i | ||||
\(540\) | −4.81496 | − | 1.95349i | −0.207203 | − | 0.0840648i | ||||
\(541\) | 7.38317 | − | 4.74487i | 0.317427 | − | 0.203998i | −0.372218 | − | 0.928145i | \(-0.621403\pi\) |
0.689646 | + | 0.724147i | \(0.257766\pi\) | |||||||
\(542\) | −4.21009 | + | 3.64807i | −0.180839 | + | 0.156698i | ||||
\(543\) | 7.73965 | − | 4.13147i | 0.332140 | − | 0.177298i | ||||
\(544\) | −2.36658 | − | 0.340263i | −0.101466 | − | 0.0145886i | ||||
\(545\) | 11.8525 | + | 10.2703i | 0.507707 | + | 0.439930i | ||||
\(546\) | 1.15965 | + | 0.263797i | 0.0496285 | + | 0.0112895i | ||||
\(547\) | −15.7179 | − | 4.61518i | −0.672048 | − | 0.197331i | −0.0721330 | − | 0.997395i | \(-0.522981\pi\) |
−0.599915 | + | 0.800064i | \(0.704799\pi\) | |||||||
\(548\) | −1.27403 | − | 2.78974i | −0.0544239 | − | 0.119172i | ||||
\(549\) | −15.6530 | + | 9.64551i | −0.668056 | + | 0.411660i | ||||
\(550\) | −1.72988 | + | 2.69175i | −0.0737625 | + | 0.114777i | ||||
\(551\) | −12.2130 | −0.520291 | ||||||||
\(552\) | 4.17528 | + | 7.18102i | 0.177712 | + | 0.305644i | ||||
\(553\) | −12.4979 | −0.531464 | ||||||||
\(554\) | 9.26422 | − | 14.4154i | 0.393599 | − | 0.612452i | ||||
\(555\) | 7.06437 | + | 19.5026i | 0.299866 | + | 0.827841i | ||||
\(556\) | 1.60613 | + | 3.51693i | 0.0681151 | + | 0.149151i | ||||
\(557\) | 2.42774 | + | 0.712847i | 0.102866 | + | 0.0302043i | 0.332761 | − | 0.943011i | \(-0.392020\pi\) |
−0.229894 | + | 0.973216i | \(0.573838\pi\) | |||||||
\(558\) | 19.9391 | + | 0.377846i | 0.844090 | + | 0.0159955i | ||||
\(559\) | −1.24395 | − | 1.07789i | −0.0526136 | − | 0.0455899i | ||||
\(560\) | 1.47527 | + | 0.212112i | 0.0623417 | + | 0.00896339i | ||||
\(561\) | 6.23984 | + | 11.6894i | 0.263446 | + | 0.493525i | ||||
\(562\) | 6.27241 | − | 5.43507i | 0.264586 | − | 0.229265i | ||||
\(563\) | −25.7404 | + | 16.5424i | −1.08483 | + | 0.697178i | −0.955668 | − | 0.294446i | \(-0.904865\pi\) |
−0.129162 | + | 0.991624i | \(0.541229\pi\) | |||||||
\(564\) | −2.80537 | + | 2.75271i | −0.118127 | + | 0.115910i | ||||
\(565\) | −5.14524 | − | 5.93792i | −0.216462 | − | 0.249810i | ||||
\(566\) | −21.5997 | + | 6.34224i | −0.907903 | + | 0.266584i | ||||
\(567\) | 10.4632 | − | 8.39392i | 0.439411 | − | 0.352511i | ||||
\(568\) | −4.08548 | + | 4.71490i | −0.171423 | + | 0.197833i | ||||
\(569\) | 1.40975 | − | 3.08691i | 0.0590997 | − | 0.129410i | −0.877778 | − | 0.479068i | \(-0.840975\pi\) |
0.936878 | + | 0.349658i | \(0.113702\pi\) | |||||||
\(570\) | −0.346249 | + | 4.27202i | −0.0145028 | + | 0.178935i | ||||
\(571\) | −7.57671 | + | 3.46017i | −0.317075 | + | 0.144803i | −0.567595 | − | 0.823308i | \(-0.692126\pi\) |
0.250519 | + | 0.968112i | \(0.419399\pi\) | |||||||
\(572\) | −0.209781 | − | 1.45906i | −0.00877136 | − | 0.0610062i | ||||
\(573\) | −1.51000 | + | 3.93424i | −0.0630813 | + | 0.164355i | ||||
\(574\) | − | 5.20739i | − | 0.217352i | ||||||
\(575\) | −1.18311 | + | 4.64761i | −0.0493390 | + | 0.193819i | ||||
\(576\) | 2.75202 | − | 1.19432i | 0.114667 | − | 0.0497633i | ||||
\(577\) | 31.2127 | + | 20.0592i | 1.29940 | + | 0.835075i | 0.993147 | − | 0.116875i | \(-0.0372876\pi\) |
0.306255 | + | 0.951950i | \(0.400924\pi\) | |||||||
\(578\) | 11.1687 | − | 1.60581i | 0.464555 | − | 0.0667930i | ||||
\(579\) | −15.7267 | + | 11.5420i | −0.653580 | + | 0.479670i | ||||
\(580\) | −1.39048 | + | 4.73554i | −0.0577365 | + | 0.196632i | ||||
\(581\) | 10.7527 | + | 4.91061i | 0.446099 | + | 0.203726i | ||||
\(582\) | 1.79642 | + | 1.00313i | 0.0744638 | + | 0.0415809i | ||||
\(583\) | 3.14054 | − | 21.8429i | 0.130068 | − | 0.904642i | ||||
\(584\) | 0.265945 | + | 0.905724i | 0.0110049 | + | 0.0374791i | ||||
\(585\) | 1.24607 | + | 0.597846i | 0.0515185 | + | 0.0247179i | ||||
\(586\) | −16.4909 | − | 25.6604i | −0.681234 | − | 1.06002i | ||||
\(587\) | −22.7267 | − | 35.3634i | −0.938030 | − | 1.45960i | −0.887462 | − | 0.460882i | \(-0.847533\pi\) |
−0.0505680 | − | 0.998721i | \(-0.516103\pi\) | |||||||
\(588\) | 5.02261 | − | 6.57858i | 0.207129 | − | 0.271296i | ||||
\(589\) | −4.63441 | − | 15.7833i | −0.190957 | − | 0.650341i | ||||
\(590\) | 0.856533 | − | 5.95732i | 0.0352629 | − | 0.245259i | ||||
\(591\) | 17.2085 | − | 30.8174i | 0.707865 | − | 1.26766i | ||||
\(592\) | −10.8936 | − | 4.97492i | −0.447722 | − | 0.204468i | ||||
\(593\) | 7.08148 | − | 24.1173i | 0.290801 | − | 0.990379i | −0.676435 | − | 0.736502i | \(-0.736476\pi\) |
0.967237 | − | 0.253876i | \(-0.0817057\pi\) | |||||||
\(594\) | −14.3600 | − | 8.37950i | −0.589200 | − | 0.343815i | ||||
\(595\) | 3.52726 | − | 0.507143i | 0.144603 | − | 0.0207908i | ||||
\(596\) | −6.52444 | − | 4.19300i | −0.267251 | − | 0.171752i | ||||
\(597\) | −2.80454 | + | 0.582320i | −0.114782 | + | 0.0238328i | ||||
\(598\) | −0.990203 | − | 1.97506i | −0.0404924 | − | 0.0807662i | ||||
\(599\) | − | 35.7148i | − | 1.45927i | −0.683838 | − | 0.729634i | \(-0.739691\pi\) | ||
0.683838 | − | 0.729634i | \(-0.260309\pi\) | |||||||
\(600\) | 1.61704 | + | 0.620637i | 0.0660153 | + | 0.0253374i | ||||
\(601\) | −1.44415 | − | 10.0443i | −0.0589081 | − | 0.409715i | −0.997844 | − | 0.0656240i | \(-0.979096\pi\) |
0.938936 | − | 0.344091i | \(-0.111813\pi\) | |||||||
\(602\) | 4.84396 | − | 2.21216i | 0.197425 | − | 0.0901611i | ||||
\(603\) | 2.69816 | + | 21.6738i | 0.109877 | + | 0.882627i | ||||
\(604\) | 4.80784 | − | 10.5277i | 0.195628 | − | 0.428367i | ||||
\(605\) | 0.498981 | − | 0.575854i | 0.0202864 | − | 0.0234118i | ||||
\(606\) | 19.4442 | − | 1.20564i | 0.789867 | − | 0.0489759i | ||||
\(607\) | 12.4598 | − | 3.65854i | 0.505729 | − | 0.148496i | −0.0189082 | − | 0.999821i | \(-0.506019\pi\) |
0.524638 | + | 0.851326i | \(0.324201\pi\) | |||||||
\(608\) | −1.62048 | − | 1.87013i | −0.0657191 | − | 0.0758439i | ||||
\(609\) | −8.92350 | − | 9.09420i | −0.361598 | − | 0.368516i | ||||
\(610\) | 5.15583 | − | 3.31345i | 0.208753 | − | 0.134158i | ||||
\(611\) | 0.790046 | − | 0.684579i | 0.0319619 | − | 0.0276951i | ||||
\(612\) | 5.50882 | − | 4.59360i | 0.222681 | − | 0.185685i | ||||
\(613\) | 15.2521 | + | 2.19292i | 0.616026 | + | 0.0885712i | 0.443262 | − | 0.896392i | \(-0.353821\pi\) |
0.172764 | + | 0.984963i | \(0.444730\pi\) | |||||||
\(614\) | −1.14536 | − | 0.992457i | −0.0462228 | − | 0.0400523i | ||||
\(615\) | 1.34231 | − | 5.90078i | 0.0541271 | − | 0.237942i | ||||
\(616\) | 4.57579 | + | 1.34357i | 0.184364 | + | 0.0541341i | ||||
\(617\) | 7.65030 | + | 16.7518i | 0.307989 | + | 0.674403i | 0.998818 | − | 0.0486162i | \(-0.0154811\pi\) |
−0.690828 | + | 0.723019i | \(0.742754\pi\) | |||||||
\(618\) | 25.5952 | − | 9.27125i | 1.02959 | − | 0.372944i | ||||
\(619\) | 1.24050 | − | 1.93026i | 0.0498600 | − | 0.0775837i | −0.815429 | − | 0.578858i | \(-0.803499\pi\) |
0.865289 | + | 0.501274i | \(0.167135\pi\) | |||||||
\(620\) | −6.64756 | −0.266973 | ||||||||
\(621\) | −24.3915 | − | 5.10434i | −0.978798 | − | 0.204830i | ||||
\(622\) | 0.933816 | 0.0374426 | ||||||||
\(623\) | 8.27243 | − | 12.8722i | 0.331428 | − | 0.515712i | ||||
\(624\) | −0.750233 | + | 0.271754i | −0.0300333 | + | 0.0108789i | ||||
\(625\) | 0.415415 | + | 0.909632i | 0.0166166 | + | 0.0363853i | ||||
\(626\) | 27.1202 | + | 7.96321i | 1.08394 | + | 0.318274i | ||||
\(627\) | −3.04194 | + | 13.3724i | −0.121483 | + | 0.534040i | ||||
\(628\) | −2.38420 | − | 2.06592i | −0.0951398 | − | 0.0824391i | ||||
\(629\) | −28.3417 | − | 4.07491i | −1.13006 | − | 0.162477i | ||||
\(630\) | −3.43408 | + | 2.86355i | −0.136817 | + | 0.114087i | ||||
\(631\) | −25.6931 | + | 22.2632i | −1.02283 | + | 0.886285i | −0.993562 | − | 0.113287i | \(-0.963862\pi\) |
−0.0292650 | + | 0.999572i | \(0.509317\pi\) | |||||||
\(632\) | 7.05419 | − | 4.53346i | 0.280601 | − | 0.180331i | ||||
\(633\) | −4.07143 | − | 4.14931i | −0.161825 | − | 0.164920i | ||||
\(634\) | −18.8967 | − | 21.8080i | −0.750484 | − | 0.866105i | ||||
\(635\) | −12.0769 | + | 3.54611i | −0.479259 | + | 0.140723i | ||||
\(636\) | −11.9227 | + | 0.739268i | −0.472765 | + | 0.0293139i | ||||
\(637\) | −1.44163 | + | 1.66373i | −0.0571195 | + | 0.0659194i | ||||
\(638\) | −6.56021 | + | 14.3649i | −0.259721 | + | 0.568710i | ||||
\(639\) | −2.31211 | − | 18.5728i | −0.0914655 | − | 0.734727i | ||||
\(640\) | −0.909632 | + | 0.415415i | −0.0359564 | + | 0.0164207i | ||||
\(641\) | 4.16956 | + | 28.9999i | 0.164688 | + | 1.14543i | 0.889651 | + | 0.456641i | \(0.150948\pi\) |
−0.724963 | + | 0.688787i | \(0.758143\pi\) | |||||||
\(642\) | −29.4382 | − | 11.2987i | −1.16183 | − | 0.445925i | ||||
\(643\) | − | 25.0540i | − | 0.988034i | −0.869452 | − | 0.494017i | \(-0.835528\pi\) | ||
0.869452 | − | 0.494017i | \(-0.164472\pi\) | |||||||
\(644\) | 7.14321 | − | 0.259633i | 0.281482 | − | 0.0102310i | ||||
\(645\) | 6.05919 | − | 1.25810i | 0.238580 | − | 0.0495375i | ||||
\(646\) | −4.97721 | − | 3.19866i | −0.195826 | − | 0.125850i | ||||
\(647\) | −34.5400 | + | 4.96610i | −1.35791 | + | 0.195238i | −0.782511 | − | 0.622637i | \(-0.786061\pi\) |
−0.575396 | + | 0.817875i | \(0.695152\pi\) | |||||||
\(648\) | −2.86094 | + | 8.53317i | −0.112388 | + | 0.335215i | ||||
\(649\) | 5.42549 | − | 18.4775i | 0.212969 | − | 0.725307i | ||||
\(650\) | −0.419056 | − | 0.191377i | −0.0164367 | − | 0.00750641i | ||||
\(651\) | 8.36665 | − | 14.9831i | 0.327915 | − | 0.587235i | ||||
\(652\) | −3.03595 | + | 21.1155i | −0.118897 | + | 0.826945i | ||||
\(653\) | 1.01562 | + | 3.45889i | 0.0397443 | + | 0.135357i | 0.976975 | − | 0.213352i | \(-0.0684383\pi\) |
−0.937231 | + | 0.348709i | \(0.886620\pi\) | |||||||
\(654\) | 16.4841 | − | 21.5907i | 0.644578 | − | 0.844264i | ||||
\(655\) | −1.79423 | − | 2.79188i | −0.0701066 | − | 0.109088i | ||||
\(656\) | 1.88892 | + | 2.93922i | 0.0737499 | + | 0.114757i | ||||
\(657\) | −2.55322 | − | 1.22500i | −0.0996106 | − | 0.0477919i | ||||
\(658\) | 0.952842 | + | 3.24508i | 0.0371457 | + | 0.126507i | ||||
\(659\) | 0.272927 | − | 1.89825i | 0.0106317 | − | 0.0739453i | −0.983815 | − | 0.179188i | \(-0.942653\pi\) |
0.994447 | + | 0.105243i | \(0.0335620\pi\) | |||||||
\(660\) | 4.83874 | + | 2.70197i | 0.188348 | + | 0.105174i | ||||
\(661\) | 0.940382 | + | 0.429458i | 0.0365766 | + | 0.0167040i | 0.433619 | − | 0.901096i | \(-0.357236\pi\) |
−0.397043 | + | 0.917800i | \(0.629964\pi\) | |||||||
\(662\) | 7.83042 | − | 26.6680i | 0.304338 | − | 1.03648i | ||||
\(663\) | −1.53803 | + | 1.12878i | −0.0597322 | + | 0.0438381i | ||||
\(664\) | −7.85044 | + | 1.12872i | −0.304656 | + | 0.0438030i | ||||
\(665\) | 3.10268 | + | 1.99397i | 0.120317 | + | 0.0773230i | ||||
\(666\) | 32.9576 | − | 14.3029i | 1.27708 | − | 0.554226i | ||||
\(667\) | −2.51532 | + | 23.5356i | −0.0973934 | + | 0.911302i | ||||
\(668\) | − | 24.7289i | − | 0.956789i | ||||||
\(669\) | 8.39248 | − | 21.8662i | 0.324472 | − | 0.845395i | ||||
\(670\) | −1.03611 | − | 7.20627i | −0.0400283 | − | 0.278403i | ||||
\(671\) | 17.8380 | − | 8.14633i | 0.688628 | − | 0.314486i | ||||
\(672\) | 0.208550 | − | 2.57309i | 0.00804499 | − | 0.0992590i | ||||
\(673\) | 12.9075 | − | 28.2635i | 0.497548 | − | 1.08948i | −0.479710 | − | 0.877427i | \(-0.659258\pi\) |
0.977258 | − | 0.212052i | \(-0.0680145\pi\) | |||||||
\(674\) | 17.9597 | − | 20.7266i | 0.691780 | − | 0.798357i | ||||
\(675\) | −4.62948 | + | 2.35964i | −0.178189 | + | 0.0908227i | ||||
\(676\) | −12.2698 | + | 3.60273i | −0.471914 | + | 0.138567i | ||||
\(677\) | −19.5229 | − | 22.5306i | −0.750326 | − | 0.865923i | 0.244274 | − | 0.969706i | \(-0.421451\pi\) |
−0.994600 | + | 0.103784i | \(0.966905\pi\) | |||||||
\(678\) | −9.71354 | + | 9.53122i | −0.373046 | + | 0.366044i | ||||
\(679\) | 1.48945 | − | 0.957210i | 0.0571598 | − | 0.0367344i | ||||
\(680\) | −1.80693 | + | 1.56572i | −0.0692927 | + | 0.0600425i | ||||
\(681\) | −11.1355 | − | 20.8606i | −0.426713 | − | 0.799378i | ||||
\(682\) | −21.0537 | − | 3.02706i | −0.806186 | − | 0.115912i | ||||
\(683\) | −26.4593 | − | 22.9271i | −1.01244 | − | 0.877281i | −0.0199702 | − | 0.999801i | \(-0.506357\pi\) |
−0.992466 | + | 0.122519i | \(0.960903\pi\) | |||||||
\(684\) | 7.42229 | + | 0.140652i | 0.283798 | + | 0.00537798i | ||||
\(685\) | −2.94266 | − | 0.864042i | −0.112433 | − | 0.0330134i | ||||
\(686\) | −7.29274 | − | 15.9689i | −0.278438 | − | 0.609695i | ||||
\(687\) | −1.02098 | − | 2.81862i | −0.0389528 | − | 0.107537i | ||||
\(688\) | −1.93165 | + | 3.00570i | −0.0736434 | + | 0.114591i | ||||
\(689\) | 3.17726 | 0.121044 | ||||||||
\(690\) | 8.16128 | + | 1.54710i | 0.310695 | + | 0.0588970i | ||||
\(691\) | 40.0560 | 1.52380 | 0.761902 | − | 0.647693i | \(-0.224266\pi\) | ||||
0.761902 | + | 0.647693i | \(0.224266\pi\) | |||||||
\(692\) | 4.21538 | − | 6.55927i | 0.160245 | − | 0.249346i | ||||
\(693\) | −12.1801 | + | 7.50547i | −0.462684 | + | 0.285109i | ||||
\(694\) | 5.10042 | + | 11.1684i | 0.193609 | + | 0.423945i | ||||
\(695\) | 3.70971 | + | 1.08927i | 0.140717 | + | 0.0413183i | ||||
\(696\) | 8.33551 | + | 1.89616i | 0.315957 | + | 0.0718737i | ||||
\(697\) | 6.31316 | + | 5.47038i | 0.239128 | + | 0.207206i | ||||
\(698\) | 12.9711 | + | 1.86496i | 0.490963 | + | 0.0705898i | ||||
\(699\) | 22.8689 | − | 12.2076i | 0.864982 | − | 0.461732i | ||||
\(700\) | 1.12640 | − | 0.976034i | 0.0425740 | − | 0.0368906i | ||||
\(701\) | 11.1144 | − | 7.14280i | 0.419786 | − | 0.269780i | −0.313650 | − | 0.949539i | \(-0.601552\pi\) |
0.733436 | + | 0.679759i | \(0.237915\pi\) | |||||||
\(702\) | 0.899948 | − | 2.21820i | 0.0339664 | − | 0.0837204i | ||||
\(703\) | −19.4065 | − | 22.3963i | −0.731931 | − | 0.844693i | ||||
\(704\) | −3.07008 | + | 0.901458i | −0.115708 | + | 0.0339750i | ||||
\(705\) | 0.243234 | + | 3.92279i | 0.00916071 | + | 0.147741i | ||||
\(706\) | −14.9396 | + | 17.2412i | −0.562258 | + | 0.648880i | ||||
\(707\) | 6.96403 | − | 15.2491i | 0.261909 | − | 0.573502i | ||||
\(708\) | −10.3904 | − | 0.842148i | −0.390496 | − | 0.0316499i | ||||
\(709\) | 32.6447 | − | 14.9083i | 1.22600 | − | 0.559894i | 0.306080 | − | 0.952006i | \(-0.400983\pi\) |
0.919918 | + | 0.392112i | \(0.128255\pi\) | |||||||
\(710\) | 0.887860 | + | 6.17520i | 0.0333208 | + | 0.231751i | ||||
\(711\) | −4.05120 | + | 24.8277i | −0.151932 | + | 0.931110i | ||||
\(712\) | 10.2662i | 0.384741i | ||||||||
\(713\) | −31.3705 | + | 5.68030i | −1.17483 | + | 0.212729i | ||||
\(714\) | −1.25480 | − | 6.04332i | −0.0469598 | − | 0.226165i | ||||
\(715\) | −1.24006 | − | 0.796937i | −0.0463755 | − | 0.0298037i | ||||
\(716\) | 1.65533 | − | 0.238001i | 0.0618627 | − | 0.00889451i | ||||
\(717\) | −25.8486 | − | 35.2203i | −0.965334 | − | 1.31533i | ||||
\(718\) | 5.00762 | − | 17.0544i | 0.186883 | − | 0.636464i | ||||
\(719\) | −28.3164 | − | 12.9317i | −1.05602 | − | 0.482270i | −0.189747 | − | 0.981833i | \(-0.560767\pi\) |
−0.866278 | + | 0.499563i | \(0.833494\pi\) | |||||||
\(720\) | 0.899583 | − | 2.86195i | 0.0335255 | − | 0.106659i | ||||
\(721\) | 3.33376 | − | 23.1868i | 0.124156 | − | 0.863522i | ||||
\(722\) | 3.62777 | + | 12.3551i | 0.135012 | + | 0.459807i | ||||
\(723\) | 1.67866 | + | 1.28162i | 0.0624301 | + | 0.0476641i | ||||
\(724\) | 2.73850 | + | 4.26119i | 0.101776 | + | 0.158366i | ||||
\(725\) | 2.66831 | + | 4.15197i | 0.0990985 | + | 0.154200i | ||||
\(726\) | −1.04898 | − | 0.800877i | −0.0389314 | − | 0.0297233i | ||||
\(727\) | 5.52536 | + | 18.8176i | 0.204924 | + | 0.697908i | 0.996251 | + | 0.0865140i | \(0.0275727\pi\) |
−0.791326 | + | 0.611394i | \(0.790609\pi\) | |||||||
\(728\) | −0.0977176 | + | 0.679641i | −0.00362165 | + | 0.0251892i | ||||
\(729\) | −13.2833 | − | 23.5065i | −0.491974 | − | 0.870610i | ||||
\(730\) | 0.858657 | + | 0.392136i | 0.0317803 | + | 0.0145136i | ||||
\(731\) | −2.40669 | + | 8.19644i | −0.0890147 | + | 0.303156i | ||||
\(732\) | −6.28072 | − | 8.55787i | −0.232142 | − | 0.316308i | ||||
\(733\) | 52.1034 | − | 7.49134i | 1.92448 | − | 0.276699i | 0.928881 | − | 0.370379i | \(-0.120772\pi\) |
0.995602 | + | 0.0936798i | \(0.0298630\pi\) | |||||||
\(734\) | 17.1796 | + | 11.0406i | 0.634110 | + | 0.407517i | ||||
\(735\) | −1.68265 | − | 8.10389i | −0.0620654 | − | 0.298916i | ||||
\(736\) | −3.93767 | + | 2.73766i | −0.145144 | + | 0.100911i | ||||
\(737\) | − | 23.2950i | − | 0.858081i | ||||||
\(738\) | −10.3447 | − | 1.68798i | −0.380795 | − | 0.0621355i | ||||
\(739\) | −1.05168 | − | 7.31457i | −0.0386865 | − | 0.269071i | 0.961293 | − | 0.275530i | \(-0.0888532\pi\) |
−0.999979 | + | 0.00645879i | \(0.997944\pi\) | |||||||
\(740\) | −10.8936 | + | 4.97492i | −0.400455 | + | 0.182882i | ||||
\(741\) | −1.96807 | − | 0.159513i | −0.0722988 | − | 0.00585985i | ||||
\(742\) | −4.27016 | + | 9.35035i | −0.156763 | + | 0.343262i | ||||
\(743\) | 28.4811 | − | 32.8689i | 1.04487 | − | 1.20584i | 0.0667563 | − | 0.997769i | \(-0.478735\pi\) |
0.978113 | − | 0.208074i | \(-0.0667195\pi\) | |||||||
\(744\) | 0.712555 | + | 11.4918i | 0.0261235 | + | 0.421312i | ||||
\(745\) | −7.44146 | + | 2.18501i | −0.272634 | + | 0.0800525i | ||||
\(746\) | 17.3177 | + | 19.9857i | 0.634048 | + | 0.731730i | ||||
\(747\) | 13.2407 | − | 19.7691i | 0.484451 | − | 0.723312i | ||||
\(748\) | −6.43576 | + | 4.13601i | −0.235315 | + | 0.151227i | ||||
\(749\) | −20.5062 | + | 17.7687i | −0.749280 | + | 0.649255i | ||||
\(750\) | 1.52798 | − | 0.815645i | 0.0557940 | − | 0.0297831i | ||||
\(751\) | −11.3818 | − | 1.63645i | −0.415327 | − | 0.0597150i | −0.0685159 | − | 0.997650i | \(-0.521826\pi\) |
−0.346811 | + | 0.937935i | \(0.612735\pi\) | |||||||
\(752\) | −1.71493 | − | 1.48599i | −0.0625370 | − | 0.0541886i | ||||
\(753\) | 10.7610 | + | 2.44791i | 0.392153 | + | 0.0892069i | ||||
\(754\) | −2.18160 | − | 0.640576i | −0.0794493 | − | 0.0233284i | ||||
\(755\) | −4.80784 | − | 10.5277i | −0.174975 | − | 0.383143i | ||||
\(756\) | 5.31841 | + | 5.62966i | 0.193429 | + | 0.204749i | ||||
\(757\) | 3.02307 | − | 4.70399i | 0.109875 | − | 0.170969i | −0.781961 | − | 0.623327i | \(-0.785781\pi\) |
0.891837 | + | 0.452358i | \(0.149417\pi\) | |||||||
\(758\) | −2.84422 | −0.103307 | ||||||||
\(759\) | 25.1433 | + | 8.61620i | 0.912644 | + | 0.312748i | ||||
\(760\) | −2.47454 | −0.0897610 | ||||||||
\(761\) | −24.6505 | + | 38.3568i | −0.893578 | + | 1.39043i | 0.0268989 | + | 0.999638i | \(0.491437\pi\) |
−0.920477 | + | 0.390797i | \(0.872200\pi\) | |||||||
\(762\) | 7.42480 | + | 20.4977i | 0.268972 | + | 0.742552i | ||||
\(763\) | −9.71027 | − | 21.2625i | −0.351536 | − | 0.769755i | ||||
\(764\) | −2.33444 | − | 0.685453i | −0.0844570 | − | 0.0247988i | ||||
\(765\) | 0.135899 | − | 7.17146i | 0.00491345 | − | 0.259285i | ||||
\(766\) | 13.8599 | + | 12.0097i | 0.500779 | + | 0.433927i | ||||
\(767\) | 2.74446 | + | 0.394594i | 0.0990968 | + | 0.0142480i | ||||
\(768\) | 0.815645 | + | 1.52798i | 0.0294320 | + | 0.0551362i | ||||
\(769\) | −36.1389 | + | 31.3146i | −1.30320 | + | 1.12923i | −0.319862 | + | 0.947464i | \(0.603636\pi\) |
−0.983342 | + | 0.181768i | \(0.941818\pi\) | |||||||
\(770\) | 4.01191 | − | 2.57830i | 0.144579 | − | 0.0929154i | ||||
\(771\) | −8.34527 | + | 8.18862i | −0.300547 | + | 0.294906i | ||||
\(772\) | −7.37553 | − | 8.51181i | −0.265451 | − | 0.306347i | ||||
\(773\) | 31.2031 | − | 9.16205i | 1.12230 | − | 0.329536i | 0.332621 | − | 0.943061i | \(-0.392067\pi\) |
0.789676 | + | 0.613525i | \(0.210249\pi\) | |||||||
\(774\) | −2.82440 | − | 10.3398i | −0.101521 | − | 0.371658i | ||||
\(775\) | −4.35323 | + | 5.02389i | −0.156373 | + | 0.180464i | ||||
\(776\) | −0.493475 | + | 1.08056i | −0.0177147 | + | 0.0387898i | ||||
\(777\) | 2.49755 | − | 30.8148i | 0.0895991 | − | 1.10547i | ||||
\(778\) | 5.57720 | − | 2.54702i | 0.199952 | − | 0.0913152i | ||||
\(779\) | 1.23041 | + | 8.55768i | 0.0440840 | + | 0.306611i | ||||
\(780\) | −0.285920 | + | 0.744949i | −0.0102376 | + | 0.0266735i | ||||
\(781\) | 19.9619i | 0.714294i | ||||||||
\(782\) | −7.18919 | + | 8.93278i | −0.257085 | + | 0.319435i | ||||
\(783\) | −20.9586 | + | 14.7791i | −0.749001 | + | 0.528161i | ||||
\(784\) | 4.01999 | + | 2.58349i | 0.143571 | + | 0.0922676i | ||||
\(785\) | −3.12263 | + | 0.448967i | −0.111452 | + | 0.0160243i | ||||
\(786\) | −4.63409 | + | 3.40101i | −0.165293 | + | 0.121310i | ||||
\(787\) | −1.86703 | + | 6.35853i | −0.0665525 | + | 0.226657i | −0.986053 | − | 0.166432i | \(-0.946775\pi\) |
0.919500 | + | 0.393089i | \(0.128594\pi\) | |||||||
\(788\) | 18.5369 | + | 8.46551i | 0.660349 | + | 0.301571i | ||||
\(789\) | 11.2127 | + | 6.26121i | 0.399182 | + | 0.222905i | ||||
\(790\) | 1.19336 | − | 8.29999i | 0.0424578 | − | 0.295300i | ||||
\(791\) | 3.29921 | + | 11.2361i | 0.117306 | + | 0.399508i | ||||
\(792\) | 4.15232 | − | 8.65451i | 0.147546 | − | 0.307525i | ||||
\(793\) | 1.52647 | + | 2.37523i | 0.0542064 | + | 0.0843468i | ||||
\(794\) | −5.61448 | − | 8.73630i | −0.199250 | − | 0.310040i | ||||
\(795\) | −7.24899 | + | 9.49467i | −0.257095 | + | 0.336741i | ||||
\(796\) | −0.465912 | − | 1.58675i | −0.0165138 | − | 0.0562409i | ||||
\(797\) | −0.354525 | + | 2.46578i | −0.0125579 | + | 0.0873423i | −0.995137 | − | 0.0985051i | \(-0.968594\pi\) |
0.982579 | + | 0.185847i | \(0.0595030\pi\) | |||||||
\(798\) | 3.11447 | − | 5.57744i | 0.110251 | − | 0.197439i | ||||
\(799\) | −4.93512 | − | 2.25380i | −0.174592 | − | 0.0797336i | ||||
\(800\) | −0.281733 | + | 0.959493i | −0.00996075 | + | 0.0339232i | ||||
\(801\) | −22.8897 | − | 20.6061i | −0.808766 | − | 0.728081i | ||||
\(802\) | 15.8502 | − | 2.27892i | 0.559692 | − | 0.0804715i | ||||
\(803\) | 2.54091 | + | 1.63294i | 0.0896668 | + | 0.0576253i | ||||
\(804\) | −12.3466 | + | 2.56359i | −0.435433 | + | 0.0904109i | ||||
\(805\) | 4.48159 | − | 5.56850i | 0.157955 | − | 0.196264i | ||||
\(806\) | − | 3.06245i | − | 0.107870i | ||||||
\(807\) | 41.8675 | + | 16.0692i | 1.47381 | + | 0.565664i | ||||
\(808\) | 1.60071 | + | 11.1332i | 0.0563128 | + | 0.391664i | ||||
\(809\) | −3.47383 | + | 1.58645i | −0.122134 | + | 0.0557765i | −0.475545 | − | 0.879692i | \(-0.657749\pi\) |
0.353411 | + | 0.935468i | \(0.385022\pi\) | |||||||
\(810\) | 4.57543 | + | 7.75019i | 0.160764 | + | 0.272314i | ||||
\(811\) | −19.3604 | + | 42.3935i | −0.679837 | + | 1.48864i | 0.182978 | + | 0.983117i | \(0.441426\pi\) |
−0.862816 | + | 0.505519i | \(0.831301\pi\) | |||||||
\(812\) | 4.81717 | − | 5.55931i | 0.169050 | − | 0.195094i | ||||
\(813\) | 9.63033 | − | 0.597131i | 0.337750 | − | 0.0209423i | ||||
\(814\) | −36.7667 | + | 10.7957i | −1.28867 | + | 0.378388i | ||||
\(815\) | 13.9699 | + | 16.1221i | 0.489344 | + | 0.564733i | ||||
\(816\) | 2.90039 | + | 2.95587i | 0.101534 | + | 0.103476i | ||||
\(817\) | −7.43773 | + | 4.77994i | −0.260213 | + | 0.167229i | ||||
\(818\) | 17.3322 | − | 15.0185i | 0.606007 | − | 0.525108i | ||||
\(819\) | −1.31920 | − | 1.58204i | −0.0460967 | − | 0.0552809i | ||||
\(820\) | 3.45829 | + | 0.497227i | 0.120769 | + | 0.0173639i | ||||
\(821\) | 36.1370 | + | 31.3129i | 1.26119 | + | 1.09283i | 0.991531 | + | 0.129870i | \(0.0414561\pi\) |
0.269658 | + | 0.962956i | \(0.413089\pi\) | |||||||
\(822\) | −1.17827 | + | 5.17968i | −0.0410970 | + | 0.180662i | ||||
\(823\) | 50.8534 | + | 14.9319i | 1.77264 | + | 0.520494i | 0.994231 | − | 0.107264i | \(-0.0342090\pi\) |
0.778409 | + | 0.627758i | \(0.216027\pi\) | |||||||
\(824\) | 6.52906 | + | 14.2966i | 0.227451 | + | 0.498047i | ||||
\(825\) | 5.21072 | − | 1.88746i | 0.181414 | − | 0.0657130i | ||||
\(826\) | −4.84974 | + | 7.54635i | −0.168744 | + | 0.262571i | ||||
\(827\) | −2.11165 | −0.0734293 | −0.0367146 | − | 0.999326i | \(-0.511689\pi\) | ||||
−0.0367146 | + | 0.999326i | \(0.511689\pi\) | |||||||
\(828\) | 1.79970 | − | 14.2745i | 0.0625440 | − | 0.496073i | ||||
\(829\) | −4.03347 | −0.140088 | −0.0700442 | − | 0.997544i | \(-0.522314\pi\) | ||||
−0.0700442 | + | 0.997544i | \(0.522314\pi\) | |||||||
\(830\) | −4.28792 | + | 6.67213i | −0.148836 | + | 0.231593i | ||||
\(831\) | −27.9055 | + | 10.1081i | −0.968030 | + | 0.350646i | ||||
\(832\) | −0.191377 | − | 0.419056i | −0.00663479 | − | 0.0145282i | ||||
\(833\) | 10.9624 | + | 3.21884i | 0.379824 | + | 0.111526i | ||||
\(834\) | 1.48541 | − | 6.52985i | 0.0514355 | − | 0.226110i | ||||
\(835\) | −18.6888 | − | 16.1940i | −0.646754 | − | 0.560415i | ||||
\(836\) | −7.83718 | − | 1.12682i | −0.271055 | − | 0.0389718i | ||||
\(837\) | −27.0527 | − | 21.4776i | −0.935077 | − | 0.742373i | ||||
\(838\) | 22.8911 | − | 19.8353i | 0.790761 | − | 0.685198i | ||||
\(839\) | −14.4812 | + | 9.30653i | −0.499948 | + | 0.321297i | −0.766195 | − | 0.642608i | \(-0.777853\pi\) |
0.266247 | + | 0.963905i | \(0.414216\pi\) | |||||||
\(840\) | −1.80804 | − | 1.84263i | −0.0623833 | − | 0.0635766i | ||||
\(841\) | −3.03939 | − | 3.50764i | −0.104806 | − | 0.120953i | ||||
\(842\) | 37.2951 | − | 10.9508i | 1.28527 | − | 0.377390i | ||||
\(843\) | −14.3477 | + | 0.889636i | −0.494163 | + | 0.0306407i | ||||
\(844\) | 2.19788 | − | 2.53649i | 0.0756541 | − | 0.0873095i | ||||
\(845\) | −5.31223 | + | 11.6322i | −0.182746 | + | 0.400159i | ||||
\(846\) | 6.75538 | − | 0.840971i | 0.232255 | − | 0.0289132i | ||||
\(847\) | −1.03304 | + | 0.471773i | −0.0354956 | + | 0.0162103i | ||||
\(848\) | −0.981513 | − | 6.82658i | −0.0337053 | − | 0.234426i | ||||
\(849\) | 36.4020 | + | 13.9715i | 1.24931 | + | 0.479501i | ||||
\(850\) | 2.39092i | 0.0820077i | ||||||||
\(851\) | −47.1567 | + | 32.7856i | −1.61651 | + | 1.12388i | ||||
\(852\) | 10.5801 | − | 2.19679i | 0.362468 | − | 0.0752609i | ||||
\(853\) | −4.09969 | − | 2.63471i | −0.140371 | − | 0.0902107i | 0.468571 | − | 0.883426i | \(-0.344769\pi\) |
−0.608941 | + | 0.793215i | \(0.708405\pi\) | |||||||
\(854\) | −9.04158 | + | 1.29998i | −0.309397 | + | 0.0444845i | ||||
\(855\) | 4.96686 | − | 5.51728i | 0.169863 | − | 0.188687i | ||||
\(856\) | 5.12895 | − | 17.4676i | 0.175304 | − | 0.597030i | ||||
\(857\) | 12.4339 | + | 5.67836i | 0.424733 | + | 0.193969i | 0.616302 | − | 0.787510i | \(-0.288630\pi\) |
−0.191569 | + | 0.981479i | \(0.561358\pi\) | |||||||
\(858\) | −1.24477 | + | 2.22915i | −0.0424956 | + | 0.0761019i | ||||
\(859\) | 5.69801 | − | 39.6306i | 0.194414 | − | 1.35218i | −0.625739 | − | 0.780032i | \(-0.715202\pi\) |
0.820153 | − | 0.572145i | \(-0.193888\pi\) | |||||||
\(860\) | 1.00660 | + | 3.42816i | 0.0343247 | + | 0.116899i | ||||
\(861\) | −5.47333 | + | 7.16893i | −0.186531 | + | 0.244316i | ||||
\(862\) | −19.5197 | − | 30.3733i | −0.664844 | − | 1.03452i | ||||
\(863\) | −4.65635 | − | 7.24542i | −0.158504 | − | 0.246637i | 0.752914 | − | 0.658119i | \(-0.228648\pi\) |
−0.911418 | + | 0.411482i | \(0.865011\pi\) | |||||||
\(864\) | −5.04397 | − | 1.24836i | −0.171599 | − | 0.0424702i | ||||
\(865\) | −2.19667 | − | 7.48118i | −0.0746891 | − | 0.254368i | ||||
\(866\) | −1.67486 | + | 11.6489i | −0.0569141 | + | 0.395846i | ||||
\(867\) | −17.0635 | − | 9.52835i | −0.579508 | − | 0.323600i | ||||
\(868\) | 9.01248 | + | 4.11586i | 0.305903 | + | 0.139701i | ||||
\(869\) | 7.55903 | − | 25.7437i | 0.256422 | − | 0.873295i | ||||
\(870\) | 6.89162 | − | 5.05784i | 0.233648 | − | 0.171477i | ||||
\(871\) | 3.31984 | − | 0.477321i | 0.112489 | − | 0.0161734i | ||||
\(872\) | 13.1935 | + | 8.47895i | 0.446789 | + | 0.287134i | ||||
\(873\) | −1.41874 | − | 3.26914i | −0.0480170 | − | 0.110644i | ||||
\(874\) | −11.6776 | + | 2.11448i | −0.395000 | + | 0.0715233i | ||||
\(875\) | − | 1.49044i | − | 0.0503862i | ||||||
\(876\) | 0.585857 | − | 1.52642i | 0.0197943 | − | 0.0515730i | ||||
\(877\) | −3.35239 | − | 23.3164i | −0.113202 | − | 0.787338i | −0.964770 | − | 0.263094i | \(-0.915257\pi\) |
0.851568 | − | 0.524244i | \(-0.175652\pi\) | |||||||
\(878\) | −16.4285 | + | 7.50263i | −0.554434 | + | 0.253202i | ||||
\(879\) | −4.26806 | + | 52.6593i | −0.143958 | + | 1.77616i | ||||
\(880\) | −1.32920 | + | 2.91054i | −0.0448073 | + | 0.0981144i | ||||
\(881\) | 13.7549 | − | 15.8740i | 0.463414 | − | 0.534808i | −0.475154 | − | 0.879903i | \(-0.657608\pi\) |
0.938568 | + | 0.345094i | \(0.112153\pi\) | |||||||
\(882\) | −13.8291 | + | 3.77750i | −0.465649 | + | 0.127195i | ||||
\(883\) | 21.4104 | − | 6.28667i | 0.720518 | − | 0.211563i | 0.0991396 | − | 0.995074i | \(-0.468391\pi\) |
0.621379 | + | 0.783510i | \(0.286573\pi\) | |||||||
\(884\) | −0.721307 | − | 0.832432i | −0.0242602 | − | 0.0279977i | ||||
\(885\) | −7.44073 | + | 7.30106i | −0.250117 | + | 0.245422i | ||||
\(886\) | −4.10463 | + | 2.63789i | −0.137898 | + | 0.0886215i | ||||
\(887\) | 12.8971 | − | 11.1754i | 0.433042 | − | 0.375233i | −0.410888 | − | 0.911686i | \(-0.634781\pi\) |
0.843931 | + | 0.536452i | \(0.180236\pi\) | |||||||
\(888\) | 9.76798 | + | 18.2988i | 0.327792 | + | 0.614066i | ||||
\(889\) | 18.5690 | + | 2.66981i | 0.622783 | + | 0.0895427i | ||||
\(890\) | 7.75865 | + | 6.72291i | 0.260071 | + | 0.225353i | ||||
\(891\) | 10.9618 | + | 26.6293i | 0.367234 | + | 0.892115i | ||||
\(892\) | 12.9746 | + | 3.80969i | 0.434422 | + | 0.127558i | ||||
\(893\) | −2.33262 | − | 5.10774i | −0.0780583 | − | 0.170924i | ||||
\(894\) | 4.57495 | + | 12.6301i | 0.153009 | + | 0.422413i | ||||
\(895\) | 0.904143 | − | 1.40687i | 0.0302222 | − | 0.0470266i | ||||
\(896\) | 1.49044 | 0.0497923 | ||||||||
\(897\) | −0.712728 | + | 3.75980i | −0.0237973 | + | 0.125536i | ||||
\(898\) | −35.3414 | −1.17936 | ||||||||
\(899\) | −17.7378 | + | 27.6005i | −0.591587 | + | 0.920528i | ||||
\(900\) | −1.57381 | − | 2.55404i | −0.0524605 | − | 0.0851346i | ||||
\(901\) | −6.85003 | − | 14.9995i | −0.228208 | − | 0.499705i | ||||
\(902\) | 10.7264 | + | 3.14956i | 0.357151 | + | 0.104869i | ||||
\(903\) | −8.99373 | − | 2.04589i | −0.299293 | − | 0.0680830i | ||||
\(904\) | −5.93792 | − | 5.14524i | −0.197492 | − | 0.171128i | ||||
\(905\) | 5.01373 | + | 0.720865i | 0.166662 | + | 0.0239624i | ||||
\(906\) | −17.6842 | + | 9.43994i | −0.587519 | + | 0.313621i | ||||
\(907\) | 6.05708 | − | 5.24849i | 0.201122 | − | 0.174273i | −0.548477 | − | 0.836166i | \(-0.684792\pi\) |
0.749599 | + | 0.661893i | \(0.230247\pi\) | |||||||
\(908\) | 11.4851 | − | 7.38103i | 0.381147 | − | 0.244948i | ||||
\(909\) | −28.0357 | − | 18.7774i | −0.929886 | − | 0.622807i | ||||
\(910\) | 0.449647 | + | 0.518920i | 0.0149056 | + | 0.0172020i | ||||
\(911\) | 15.5569 | − | 4.56793i | 0.515424 | − | 0.151342i | −0.0136679 | − | 0.999907i | \(-0.504351\pi\) |
0.529092 | + | 0.848564i | \(0.322533\pi\) | |||||||
\(912\) | 0.265247 | + | 4.27781i | 0.00878320 | + | 0.141653i | ||||
\(913\) | −16.6186 | + | 19.1789i | −0.549996 | + | 0.634729i | ||||
\(914\) | −9.26208 | + | 20.2811i | −0.306362 | + | 0.670840i | ||||
\(915\) | −10.5806 | − | 0.857563i | −0.349784 | − | 0.0283502i | ||||
\(916\) | 1.57439 | − | 0.719001i | 0.0520194 | − | 0.0237565i | ||||
\(917\) | 0.703941 | + | 4.89602i | 0.0232462 | + | 0.161681i | ||||
\(918\) | −12.4121 | + | 0.533778i | −0.409660 | + | 0.0176173i | ||||
\(919\) | 10.4529i | 0.344808i | 0.985026 | + | 0.172404i | \(0.0551535\pi\) | ||||
−0.985026 | + | 0.172404i | \(0.944847\pi\) | |||||||
\(920\) | −0.509642 | + | 4.76868i | −0.0168024 | + | 0.157219i | ||||
\(921\) | 0.533651 | + | 2.57015i | 0.0175844 | + | 0.0846892i | ||||
\(922\) | 6.44153 | + | 4.13972i | 0.212140 | + | 0.136334i | ||||
\(923\) | −2.84484 | + | 0.409026i | −0.0936391 | + | 0.0134633i | ||||
\(924\) | −4.88722 | − | 6.65914i | −0.160778 | − | 0.219070i | ||||
\(925\) | −3.37397 | + | 11.4907i | −0.110935 | + | 0.377811i | ||||
\(926\) | −31.3225 | − | 14.3045i | −1.02932 | − | 0.470075i | ||||
\(927\) | −44.9811 | − | 14.1387i | −1.47737 | − | 0.464376i | ||||
\(928\) | −0.702389 | + | 4.88522i | −0.0230570 | + | 0.160365i | ||||
\(929\) | 4.63240 | + | 15.7765i | 0.151984 | + | 0.517611i | 0.999922 | − | 0.0124849i | \(-0.00397417\pi\) |
−0.847938 | + | 0.530096i | \(0.822156\pi\) | |||||||
\(930\) | 9.15158 | + | 6.98705i | 0.300092 | + | 0.229114i | ||||
\(931\) | 6.39296 | + | 9.94763i | 0.209521 | + | 0.326021i | ||||
\(932\) | 8.09165 | + | 12.5908i | 0.265051 | + | 0.412427i | ||||
\(933\) | −1.28557 | − | 0.981505i | −0.0420876 | − | 0.0321330i | ||||
\(934\) | 6.56586 | + | 22.3613i | 0.214841 | + | 0.731683i | ||||
\(935\) | −1.08874 | + | 7.57233i | −0.0356055 | + | 0.247642i | ||||
\(936\) | 1.31846 | + | 0.414427i | 0.0430954 | + | 0.0135460i | ||||
\(937\) | 5.04682 | + | 2.30481i | 0.164872 | + | 0.0752947i | 0.496142 | − | 0.868242i | \(-0.334750\pi\) |
−0.331269 | + | 0.943536i | \(0.607477\pi\) | |||||||
\(938\) | −3.05708 | + | 10.4115i | −0.0998172 | + | 0.339946i | ||||
\(939\) | −28.9660 | − | 39.4680i | −0.945271 | − | 1.28799i | ||||
\(940\) | −2.24608 | + | 0.322937i | −0.0732590 | + | 0.0105331i | ||||
\(941\) | 47.9847 | + | 30.8379i | 1.56426 | + | 1.00529i | 0.981232 | + | 0.192830i | \(0.0617667\pi\) |
0.583023 | + | 0.812455i | \(0.301870\pi\) | |||||||
\(942\) | 1.11086 | + | 5.35007i | 0.0361938 | + | 0.174315i | ||||
\(943\) | 16.7449 | − | 0.608624i | 0.545288 | − | 0.0198195i | ||||
\(944\) | − | 6.01858i | − | 0.195888i | ||||||
\(945\) | 7.73743 | − | 0.332746i | 0.251699 | − | 0.0108242i | ||||
\(946\) | 1.62696 | + | 11.3158i | 0.0528971 | + | 0.367908i | ||||
\(947\) | −25.1729 | + | 11.4961i | −0.818010 | + | 0.373573i | −0.780058 | − | 0.625707i | \(-0.784811\pi\) |
−0.0379520 | + | 0.999280i | \(0.512083\pi\) | |||||||
\(948\) | −14.4764 | − | 1.17332i | −0.470170 | − | 0.0381075i | ||||
\(949\) | −0.180652 | + | 0.395573i | −0.00586421 | + | 0.0128408i | ||||
\(950\) | −1.62048 | + | 1.87013i | −0.0525753 | + | 0.0606751i | ||||
\(951\) | 3.09309 | + | 49.8844i | 0.100300 | + | 1.61761i | ||||
\(952\) | 3.41918 | − | 1.00396i | 0.110816 | − | 0.0325386i | ||||
\(953\) | 10.4379 | + | 12.0460i | 0.338118 | + | 0.390209i | 0.899190 | − | 0.437558i | \(-0.144156\pi\) |
−0.561072 | + | 0.827767i | \(0.689611\pi\) | |||||||
\(954\) | 17.1907 | + | 11.5138i | 0.556571 | + | 0.372773i | ||||
\(955\) | −2.04676 | + | 1.31537i | −0.0662317 | + | 0.0425645i | ||||
\(956\) | 19.0624 | − | 16.5176i | 0.616522 | − | 0.534219i | ||||
\(957\) | 24.1298 | − | 12.8806i | 0.780005 | − | 0.416371i | ||||
\(958\) | −6.75881 | − | 0.971770i | −0.218367 | − | 0.0313965i | ||||
\(959\) | 3.45455 | + | 2.99339i | 0.111553 | + | 0.0966615i | ||||
\(960\) | 1.68890 | + | 0.384191i | 0.0545091 | + | 0.0123997i | ||||
\(961\) | −12.6558 | − | 3.71608i | −0.408252 | − | 0.119874i | ||||
\(962\) | −2.29188 | − | 5.01853i | −0.0738933 | − | 0.161804i | ||||
\(963\) | 28.6513 | + | 46.4963i | 0.923277 | + | 1.49832i | ||||
\(964\) | −0.659232 | + | 1.02579i | −0.0212324 | + | 0.0330383i | ||||
\(965\) | −11.2627 | −0.362560 | ||||||||
\(966\) | −10.1068 | − | 7.15057i | −0.325182 | − | 0.230066i | ||||
\(967\) | 24.0592 | 0.773692 | 0.386846 | − | 0.922144i | \(-0.373565\pi\) | ||||
0.386846 | + | 0.922144i | \(0.373565\pi\) | |||||||
\(968\) | 0.411949 | − | 0.641005i | 0.0132405 | − | 0.0206027i | ||||
\(969\) | 3.49003 | + | 9.63492i | 0.112116 | + | 0.309518i | ||||
\(970\) | 0.493475 | + | 1.08056i | 0.0158445 | + | 0.0346946i | ||||
\(971\) | 35.3126 | + | 10.3687i | 1.13324 | + | 0.332748i | 0.793979 | − | 0.607946i | \(-0.208006\pi\) |
0.339257 | + | 0.940694i | \(0.389824\pi\) | |||||||
\(972\) | 12.9076 | − | 8.74042i | 0.414010 | − | 0.280349i | ||||
\(973\) | −4.35504 | − | 3.77366i | −0.139616 | − | 0.120978i | ||||
\(974\) | 12.0291 | + | 1.72952i | 0.385437 | + | 0.0554174i | ||||
\(975\) | 0.375757 | + | 0.703922i | 0.0120339 | + | 0.0225435i | ||||
\(976\) | 4.63180 | − | 4.01348i | 0.148260 | − | 0.128468i | ||||
\(977\) | −21.6173 | + | 13.8926i | −0.691599 | + | 0.444464i | −0.838654 | − | 0.544665i | \(-0.816657\pi\) |
0.147055 | + | 0.989128i | \(0.453021\pi\) | |||||||
\(978\) | 26.3733 | − | 25.8783i | 0.843326 | − | 0.827497i | ||||
\(979\) | 21.5113 | + | 24.8253i | 0.687503 | + | 0.793420i | ||||
\(980\) | 4.58501 | − | 1.34628i | 0.146463 | − | 0.0430053i | ||||
\(981\) | −45.3867 | + | 12.3977i | −1.44908 | + | 0.395827i | ||||
\(982\) | 20.1471 | − | 23.2509i | 0.642918 | − | 0.741967i | ||||
\(983\) | 24.9934 | − | 54.7280i | 0.797167 | − | 1.74555i | 0.142279 | − | 0.989827i | \(-0.454557\pi\) |
0.654888 | − | 0.755726i | \(-0.272716\pi\) | |||||||
\(984\) | 0.488876 | − | 6.03175i | 0.0155848 | − | 0.192285i | ||||
\(985\) | 18.5369 | − | 8.46551i | 0.590634 | − | 0.269734i | ||||
\(986\) | 1.67935 | + | 11.6802i | 0.0534815 | + | 0.371972i | ||||
\(987\) | 2.09904 | − | 5.46895i | 0.0668133 | − | 0.174079i | ||||
\(988\) | − | 1.13999i | − | 0.0362679i | ||||||
\(989\) | 7.67957 | + | 15.3177i | 0.244196 | + | 0.487074i | ||||
\(990\) | −3.82145 | − | 8.80561i | −0.121454 | − | 0.279861i | ||||
\(991\) | 20.8033 | + | 13.3695i | 0.660838 | + | 0.424695i | 0.827612 | − | 0.561300i | \(-0.189699\pi\) |
−0.166774 | + | 0.985995i | \(0.553335\pi\) | |||||||
\(992\) | −6.57990 | + | 0.946047i | −0.208912 | + | 0.0300370i | ||||
\(993\) | −38.8099 | + | 28.4830i | −1.23159 | + | 0.903881i | ||||
\(994\) | 2.61968 | − | 8.92179i | 0.0830910 | − | 0.282982i | ||||
\(995\) | −1.50429 | − | 0.686988i | −0.0476893 | − | 0.0217790i | ||||
\(996\) | 11.9939 | + | 6.69746i | 0.380042 | + | 0.212217i | ||||
\(997\) | 6.28624 | − | 43.7218i | 0.199087 | − | 1.38468i | −0.607853 | − | 0.794049i | \(-0.707969\pi\) |
0.806941 | − | 0.590633i | \(-0.201122\pi\) | |||||||
\(998\) | −6.05682 | − | 20.6276i | −0.191725 | − | 0.652957i | ||||
\(999\) | −60.4054 | − | 14.9501i | −1.91114 | − | 0.473002i |
(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 | 690.2.q.a.251.9 | yes | 160 | |
3.2 | odd | 2 | 690.2.q.b.251.8 | yes | 160 | ||
23.11 | odd | 22 | 690.2.q.b.11.8 | yes | 160 | ||
69.11 | even | 22 | inner | 690.2.q.a.11.9 | ✓ | 160 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
690.2.q.a.11.9 | ✓ | 160 | 69.11 | even | 22 | inner | |
690.2.q.a.251.9 | yes | 160 | 1.1 | even | 1 | trivial | |
690.2.q.b.11.8 | yes | 160 | 23.11 | odd | 22 | ||
690.2.q.b.251.8 | yes | 160 | 3.2 | odd | 2 |