Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [525,2,Mod(8,525)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(525, base_ring=CyclotomicField(20))
chi = DirichletCharacter(H, H._module([10, 3, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("525.8");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 525 = 3 \cdot 5^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 525.bk (of order \(20\), degree \(8\), 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: | \(4.19214610612\) |
Analytic rank: | \(0\) |
Dimension: | \(480\) |
Relative dimension: | \(60\) over \(\Q(\zeta_{20})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{20}]$ |
Embedding invariants
Embedding label | 8.9 | ||
Character | \(\chi\) | \(=\) | 525.8 |
Dual form | 525.2.bk.a.197.9 |
$q$-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 \(\left(\mathbb{Z}/525\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(176\) | \(451\) |
\(\chi(n)\) | \(e\left(\frac{3}{20}\right)\) | \(-1\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.996070 | + | 1.95490i | −0.704328 | + | 1.38232i | 0.210143 | + | 0.977671i | \(0.432607\pi\) |
−0.914471 | + | 0.404651i | \(0.867393\pi\) | |||||||
\(3\) | 1.41904 | + | 0.993139i | 0.819283 | + | 0.573389i | ||||
\(4\) | −1.65390 | − | 2.27640i | −0.826949 | − | 1.13820i | ||||
\(5\) | 2.07107 | + | 0.843023i | 0.926209 | + | 0.377011i | ||||
\(6\) | −3.35495 | + | 1.78484i | −1.36965 | + | 0.728659i | ||||
\(7\) | 0.707107 | − | 0.707107i | 0.267261 | − | 0.267261i | ||||
\(8\) | 1.76348 | − | 0.279307i | 0.623483 | − | 0.0987501i | ||||
\(9\) | 1.02735 | + | 2.81861i | 0.342450 | + | 0.939536i | ||||
\(10\) | −3.71095 | + | 3.20901i | −1.17351 | + | 1.01478i | ||||
\(11\) | 3.26489 | − | 1.06083i | 0.984401 | − | 0.319851i | 0.227786 | − | 0.973711i | \(-0.426851\pi\) |
0.756616 | + | 0.653860i | \(0.226851\pi\) | |||||||
\(12\) | −0.0861709 | − | 4.87285i | −0.0248754 | − | 1.40667i | ||||
\(13\) | −0.258140 | + | 0.131529i | −0.0715951 | + | 0.0364795i | −0.489422 | − | 0.872047i | \(-0.662792\pi\) |
0.417826 | + | 0.908527i | \(0.362792\pi\) | |||||||
\(14\) | 0.677993 | + | 2.08665i | 0.181201 | + | 0.557680i | ||||
\(15\) | 2.10169 | + | 3.25314i | 0.542653 | + | 0.839957i | ||||
\(16\) | 0.528482 | − | 1.62650i | 0.132120 | − | 0.406625i | ||||
\(17\) | 0.915130 | + | 5.77790i | 0.221952 | + | 1.40135i | 0.807097 | + | 0.590419i | \(0.201038\pi\) |
−0.585145 | + | 0.810929i | \(0.698962\pi\) | |||||||
\(18\) | −6.53340 | − | 0.799167i | −1.53994 | − | 0.188365i | ||||
\(19\) | −0.935945 | + | 1.28822i | −0.214721 | + | 0.295537i | −0.902768 | − | 0.430129i | \(-0.858468\pi\) |
0.688047 | + | 0.725666i | \(0.258468\pi\) | |||||||
\(20\) | −1.50628 | − | 6.10884i | −0.336814 | − | 1.36598i | ||||
\(21\) | 1.70567 | − | 0.301158i | 0.372207 | − | 0.0657180i | ||||
\(22\) | −1.17825 | + | 7.43918i | −0.251204 | + | 1.58604i | ||||
\(23\) | −8.39042 | − | 4.27513i | −1.74952 | − | 0.891426i | −0.961058 | − | 0.276346i | \(-0.910876\pi\) |
−0.788464 | − | 0.615080i | \(-0.789124\pi\) | |||||||
\(24\) | 2.77984 | + | 1.35503i | 0.567432 | + | 0.276594i | ||||
\(25\) | 3.57862 | + | 3.49191i | 0.715725 | + | 0.698382i | ||||
\(26\) | − | 0.635649i | − | 0.124661i | ||||||
\(27\) | −1.34142 | + | 5.02002i | −0.258156 | + | 0.966103i | ||||
\(28\) | −2.77914 | − | 0.440172i | −0.525208 | − | 0.0831847i | ||||
\(29\) | 4.75755 | − | 3.45656i | 0.883455 | − | 0.641868i | −0.0507081 | − | 0.998714i | \(-0.516148\pi\) |
0.934163 | + | 0.356846i | \(0.116148\pi\) | |||||||
\(30\) | −8.45298 | + | 0.868227i | −1.54330 | + | 0.158516i | ||||
\(31\) | 1.32279 | + | 0.961060i | 0.237579 | + | 0.172611i | 0.700204 | − | 0.713943i | \(-0.253092\pi\) |
−0.462625 | + | 0.886554i | \(0.653092\pi\) | |||||||
\(32\) | 5.17826 | + | 5.17826i | 0.915395 | + | 0.915395i | ||||
\(33\) | 5.68656 | + | 1.73713i | 0.989903 | + | 0.302396i | ||||
\(34\) | −12.2067 | − | 3.96621i | −2.09344 | − | 0.680200i | ||||
\(35\) | 2.06057 | − | 0.868357i | 0.348300 | − | 0.146779i | ||||
\(36\) | 4.71713 | − | 7.00035i | 0.786189 | − | 1.16672i | ||||
\(37\) | 0.794823 | + | 1.55993i | 0.130668 | + | 0.256451i | 0.947066 | − | 0.321039i | \(-0.104032\pi\) |
−0.816398 | + | 0.577490i | \(0.804032\pi\) | |||||||
\(38\) | −1.58607 | − | 3.11283i | −0.257294 | − | 0.504968i | ||||
\(39\) | −0.496937 | − | 0.0697241i | −0.0795736 | − | 0.0111648i | ||||
\(40\) | 3.88774 | + | 0.908188i | 0.614706 | + | 0.143597i | ||||
\(41\) | −5.56607 | − | 1.80853i | −0.869275 | − | 0.282445i | −0.159778 | − | 0.987153i | \(-0.551078\pi\) |
−0.709497 | + | 0.704708i | \(0.751078\pi\) | |||||||
\(42\) | −1.11023 | + | 3.63438i | −0.171313 | + | 0.560797i | ||||
\(43\) | 2.63602 | + | 2.63602i | 0.401989 | + | 0.401989i | 0.878933 | − | 0.476944i | \(-0.158256\pi\) |
−0.476944 | + | 0.878933i | \(0.658256\pi\) | |||||||
\(44\) | −7.81466 | − | 5.67768i | −1.17810 | − | 0.855943i | ||||
\(45\) | −0.248442 | + | 6.70360i | −0.0370355 | + | 0.999314i | ||||
\(46\) | 16.7149 | − | 12.1441i | 2.46448 | − | 1.79055i | ||||
\(47\) | −9.38580 | − | 1.48656i | −1.36906 | − | 0.216838i | −0.571760 | − | 0.820421i | \(-0.693739\pi\) |
−0.797300 | + | 0.603583i | \(0.793739\pi\) | |||||||
\(48\) | 2.36528 | − | 1.78321i | 0.341398 | − | 0.257385i | ||||
\(49\) | − | 1.00000i | − | 0.142857i | ||||||
\(50\) | −10.3909 | + | 3.51766i | −1.46949 | + | 0.497472i | ||||
\(51\) | −4.43966 | + | 9.10793i | −0.621676 | + | 1.27537i | ||||
\(52\) | 0.726349 | + | 0.370093i | 0.100726 | + | 0.0513227i | ||||
\(53\) | 0.921830 | − | 5.82021i | 0.126623 | − | 0.799467i | −0.839872 | − | 0.542784i | \(-0.817370\pi\) |
0.966496 | − | 0.256683i | \(-0.0826297\pi\) | |||||||
\(54\) | −8.47748 | − | 7.62263i | −1.15364 | − | 1.03731i | ||||
\(55\) | 7.65610 | + | 0.555335i | 1.03235 | + | 0.0748813i | ||||
\(56\) | 1.04947 | − | 1.44447i | 0.140241 | − | 0.193025i | ||||
\(57\) | −2.60752 | + | 0.898510i | −0.345375 | + | 0.119011i | ||||
\(58\) | 2.01837 | + | 12.7435i | 0.265025 | + | 1.67330i | ||||
\(59\) | 1.38213 | − | 4.25376i | 0.179938 | − | 0.553793i | −0.819886 | − | 0.572526i | \(-0.805963\pi\) |
0.999825 | + | 0.0187335i | \(0.00596341\pi\) | |||||||
\(60\) | 3.92946 | − | 10.1646i | 0.507291 | − | 1.31225i | ||||
\(61\) | −4.33480 | − | 13.3411i | −0.555014 | − | 1.70816i | −0.695906 | − | 0.718133i | \(-0.744997\pi\) |
0.140891 | − | 0.990025i | \(-0.455003\pi\) | |||||||
\(62\) | −3.19636 | + | 1.62863i | −0.405938 | + | 0.206836i | ||||
\(63\) | 2.71950 | + | 1.26661i | 0.342625 | + | 0.159578i | ||||
\(64\) | −12.0279 | + | 3.90809i | −1.50348 | + | 0.488511i | ||||
\(65\) | −0.645506 | + | 0.0547870i | −0.0800652 | + | 0.00679549i | ||||
\(66\) | −9.06013 | + | 9.38633i | −1.11522 | + | 1.15538i | ||||
\(67\) | 0.249094 | − | 0.0394525i | 0.0304316 | − | 0.00481990i | −0.141200 | − | 0.989981i | \(-0.545096\pi\) |
0.171632 | + | 0.985161i | \(0.445096\pi\) | |||||||
\(68\) | 11.6393 | − | 11.6393i | 1.41147 | − | 1.41147i | ||||
\(69\) | −7.66054 | − | 14.3994i | −0.922220 | − | 1.73349i | ||||
\(70\) | −0.354924 | + | 4.89315i | −0.0424216 | + | 0.584843i | ||||
\(71\) | −5.86603 | − | 8.07390i | −0.696170 | − | 0.958196i | −0.999985 | − | 0.00546455i | \(-0.998261\pi\) |
0.303815 | − | 0.952731i | \(-0.401739\pi\) | |||||||
\(72\) | 2.59897 | + | 4.68360i | 0.306291 | + | 0.551968i | ||||
\(73\) | 4.07580 | − | 7.99921i | 0.477036 | − | 0.936237i | −0.519610 | − | 0.854404i | \(-0.673923\pi\) |
0.996646 | − | 0.0818329i | \(-0.0260774\pi\) | |||||||
\(74\) | −3.84120 | −0.446530 | ||||||||
\(75\) | 1.61026 | + | 8.50923i | 0.185937 | + | 0.982562i | ||||
\(76\) | 4.48045 | 0.513943 | ||||||||
\(77\) | 1.55851 | − | 3.05874i | 0.177608 | − | 0.348576i | ||||
\(78\) | 0.631288 | − | 0.902011i | 0.0714792 | − | 0.102133i | ||||
\(79\) | −2.26196 | − | 3.11332i | −0.254490 | − | 0.350276i | 0.662587 | − | 0.748985i | \(-0.269458\pi\) |
−0.917078 | + | 0.398709i | \(0.869458\pi\) | |||||||
\(80\) | 2.46570 | − | 2.92307i | 0.275673 | − | 0.326809i | ||||
\(81\) | −6.88910 | + | 5.79139i | −0.765456 | + | 0.643488i | ||||
\(82\) | 9.07969 | − | 9.07969i | 1.00268 | − | 1.00268i | ||||
\(83\) | 12.7807 | − | 2.02426i | 1.40286 | − | 0.222192i | 0.591298 | − | 0.806453i | \(-0.298616\pi\) |
0.811565 | + | 0.584262i | \(0.198616\pi\) | |||||||
\(84\) | −3.50656 | − | 3.38469i | −0.382597 | − | 0.369300i | ||||
\(85\) | −2.97561 | + | 12.7379i | −0.322750 | + | 1.38162i | ||||
\(86\) | −7.77880 | + | 2.52749i | −0.838810 | + | 0.272546i | ||||
\(87\) | 10.1840 | − | 0.180093i | 1.09184 | − | 0.0193080i | ||||
\(88\) | 5.46126 | − | 2.78265i | 0.582173 | − | 0.296632i | ||||
\(89\) | 0.574377 | + | 1.76775i | 0.0608839 | + | 0.187381i | 0.976872 | − | 0.213823i | \(-0.0685917\pi\) |
−0.915988 | + | 0.401205i | \(0.868592\pi\) | |||||||
\(90\) | −12.8574 | − | 7.16294i | −1.35529 | − | 0.755040i | ||||
\(91\) | −0.0895275 | + | 0.275537i | −0.00938503 | + | 0.0288842i | ||||
\(92\) | 4.14501 | + | 26.1705i | 0.432147 | + | 2.72847i | ||||
\(93\) | 0.922620 | + | 2.67749i | 0.0956712 | + | 0.277643i | ||||
\(94\) | 12.2550 | − | 16.8676i | 1.26401 | − | 1.73976i | ||||
\(95\) | −3.02440 | + | 1.87896i | −0.310297 | + | 0.192777i | ||||
\(96\) | 2.20543 | + | 12.4909i | 0.225090 | + | 1.27485i | ||||
\(97\) | −2.48230 | + | 15.6727i | −0.252040 | + | 1.59132i | 0.459178 | + | 0.888344i | \(0.348144\pi\) |
−0.711217 | + | 0.702972i | \(0.751856\pi\) | |||||||
\(98\) | 1.95490 | + | 0.996070i | 0.197474 | + | 0.100618i | ||||
\(99\) | 6.34424 | + | 8.11261i | 0.637620 | + | 0.815347i | ||||
\(100\) | 2.03029 | − | 13.9216i | 0.203029 | − | 1.39216i | ||||
\(101\) | 11.7033i | 1.16452i | 0.813001 | + | 0.582262i | \(0.197832\pi\) | ||||
−0.813001 | + | 0.582262i | \(0.802168\pi\) | |||||||
\(102\) | −13.3829 | − | 17.7512i | −1.32510 | − | 1.75763i | ||||
\(103\) | −6.05828 | − | 0.959537i | −0.596940 | − | 0.0945460i | −0.149349 | − | 0.988785i | \(-0.547718\pi\) |
−0.447591 | + | 0.894239i | \(0.647718\pi\) | |||||||
\(104\) | −0.418487 | + | 0.304048i | −0.0410360 | + | 0.0298144i | ||||
\(105\) | 3.78643 | + | 0.814200i | 0.369518 | + | 0.0794578i | ||||
\(106\) | 10.4597 | + | 7.59942i | 1.01594 | + | 0.738121i | ||||
\(107\) | 5.74305 | + | 5.74305i | 0.555201 | + | 0.555201i | 0.927937 | − | 0.372736i | \(-0.121580\pi\) |
−0.372736 | + | 0.927937i | \(0.621580\pi\) | |||||||
\(108\) | 13.6461 | − | 5.24900i | 1.31310 | − | 0.505085i | ||||
\(109\) | 18.6871 | + | 6.07182i | 1.78990 | + | 0.581575i | 0.999518 | − | 0.0310343i | \(-0.00988013\pi\) |
0.790386 | + | 0.612609i | \(0.209880\pi\) | |||||||
\(110\) | −8.71164 | + | 14.4137i | −0.830622 | + | 1.37430i | ||||
\(111\) | −0.421339 | + | 3.00297i | −0.0399918 | + | 0.285029i | ||||
\(112\) | −0.776416 | − | 1.52380i | −0.0733644 | − | 0.143986i | ||||
\(113\) | −3.68465 | − | 7.23153i | −0.346623 | − | 0.680285i | 0.650215 | − | 0.759750i | \(-0.274679\pi\) |
−0.996838 | + | 0.0794649i | \(0.974679\pi\) | |||||||
\(114\) | 0.840782 | − | 5.99242i | 0.0787464 | − | 0.561241i | ||||
\(115\) | −13.7731 | − | 15.9274i | −1.28435 | − | 1.48524i | ||||
\(116\) | −15.7370 | − | 5.11327i | −1.46115 | − | 0.474755i | ||||
\(117\) | −0.635928 | − | 0.592469i | −0.0587916 | − | 0.0547738i | ||||
\(118\) | 6.93897 | + | 6.93897i | 0.638784 | + | 0.638784i | ||||
\(119\) | 4.73269 | + | 3.43850i | 0.433845 | + | 0.315207i | ||||
\(120\) | 4.61490 | + | 5.14982i | 0.421281 | + | 0.470112i | ||||
\(121\) | 0.634967 | − | 0.461330i | 0.0577243 | − | 0.0419391i | ||||
\(122\) | 30.3983 | + | 4.81462i | 2.75214 | + | 0.435895i | ||||
\(123\) | −6.10236 | − | 8.09426i | −0.550232 | − | 0.729835i | ||||
\(124\) | − | 4.60068i | − | 0.413153i | ||||||
\(125\) | 4.46780 | + | 10.2488i | 0.399613 | + | 0.916684i | ||||
\(126\) | −5.18491 | + | 4.05472i | −0.461908 | + | 0.361223i | ||||
\(127\) | 1.07921 | + | 0.549887i | 0.0957648 | + | 0.0487946i | 0.501217 | − | 0.865322i | \(-0.332886\pi\) |
−0.405452 | + | 0.914116i | \(0.632886\pi\) | |||||||
\(128\) | 2.04949 | − | 12.9400i | 0.181151 | − | 1.14374i | ||||
\(129\) | 1.12268 | + | 6.35855i | 0.0988468 | + | 0.559839i | ||||
\(130\) | 0.535867 | − | 1.31647i | 0.0469986 | − | 0.115462i | ||||
\(131\) | 8.17581 | − | 11.2530i | 0.714324 | − | 0.983182i | −0.285369 | − | 0.958418i | \(-0.592116\pi\) |
0.999693 | − | 0.0247648i | \(-0.00788369\pi\) | |||||||
\(132\) | −5.45059 | − | 15.8179i | −0.474413 | − | 1.37677i | ||||
\(133\) | 0.249095 | + | 1.57272i | 0.0215992 | + | 0.136372i | ||||
\(134\) | −0.170989 | + | 0.526250i | −0.0147712 | + | 0.0454611i | ||||
\(135\) | −7.01016 | + | 9.26594i | −0.603338 | + | 0.797485i | ||||
\(136\) | 3.22762 | + | 9.93360i | 0.276766 | + | 0.851799i | ||||
\(137\) | 6.05533 | − | 3.08534i | 0.517341 | − | 0.263599i | −0.175767 | − | 0.984432i | \(-0.556241\pi\) |
0.693109 | + | 0.720833i | \(0.256241\pi\) | |||||||
\(138\) | 35.7798 | − | 0.632727i | 3.04578 | − | 0.0538613i | ||||
\(139\) | −6.53190 | + | 2.12234i | −0.554029 | + | 0.180015i | −0.572633 | − | 0.819812i | \(-0.694078\pi\) |
0.0186038 | + | 0.999827i | \(0.494078\pi\) | |||||||
\(140\) | −5.38470 | − | 3.25450i | −0.455090 | − | 0.275056i | ||||
\(141\) | −11.8425 | − | 11.4309i | −0.997315 | − | 0.962655i | ||||
\(142\) | 21.6266 | − | 3.42532i | 1.81487 | − | 0.287447i | ||||
\(143\) | −0.703269 | + | 0.703269i | −0.0588103 | + | 0.0588103i | ||||
\(144\) | 5.12740 | − | 0.181402i | 0.427284 | − | 0.0151168i | ||||
\(145\) | 12.7672 | − | 3.14804i | 1.06026 | − | 0.261431i | ||||
\(146\) | 11.5779 | + | 15.9355i | 0.958190 | + | 1.31884i | ||||
\(147\) | 0.993139 | − | 1.41904i | 0.0819127 | − | 0.117040i | ||||
\(148\) | 2.23646 | − | 4.38929i | 0.183836 | − | 0.360798i | ||||
\(149\) | 4.06381 | 0.332920 | 0.166460 | − | 0.986048i | \(-0.446766\pi\) | ||||
0.166460 | + | 0.986048i | \(0.446766\pi\) | |||||||
\(150\) | −18.2386 | − | 5.32790i | −1.48918 | − | 0.435021i | ||||
\(151\) | 10.0622 | 0.818850 | 0.409425 | − | 0.912344i | \(-0.365729\pi\) | ||||
0.409425 | + | 0.912344i | \(0.365729\pi\) | |||||||
\(152\) | −1.29071 | + | 2.53316i | −0.104690 | + | 0.205466i | ||||
\(153\) | −15.3455 | + | 8.51532i | −1.24061 | + | 0.688423i | ||||
\(154\) | 4.42715 | + | 6.09345i | 0.356750 | + | 0.491024i | ||||
\(155\) | 1.92938 | + | 3.10556i | 0.154972 | + | 0.249444i | ||||
\(156\) | 0.663164 | + | 1.24654i | 0.0530956 | + | 0.0998032i | ||||
\(157\) | −4.16214 | + | 4.16214i | −0.332175 | + | 0.332175i | −0.853412 | − | 0.521237i | \(-0.825471\pi\) |
0.521237 | + | 0.853412i | \(0.325471\pi\) | |||||||
\(158\) | 8.33929 | − | 1.32081i | 0.663439 | − | 0.105078i | ||||
\(159\) | 7.08839 | − | 7.34360i | 0.562146 | − | 0.582386i | ||||
\(160\) | 6.35912 | + | 15.0899i | 0.502733 | + | 1.19296i | ||||
\(161\) | −8.95589 | + | 2.90995i | −0.705823 | + | 0.229336i | ||||
\(162\) | −4.45955 | − | 19.2361i | −0.350376 | − | 1.51133i | ||||
\(163\) | 6.96277 | − | 3.54771i | 0.545366 | − | 0.277878i | −0.159524 | − | 0.987194i | \(-0.550996\pi\) |
0.704891 | + | 0.709316i | \(0.250996\pi\) | |||||||
\(164\) | 5.08880 | + | 15.6617i | 0.397368 | + | 1.22297i | ||||
\(165\) | 10.3128 | + | 8.39162i | 0.802850 | + | 0.653286i | ||||
\(166\) | −8.77324 | + | 27.0013i | −0.680935 | + | 2.09570i | ||||
\(167\) | −0.969690 | − | 6.12238i | −0.0750368 | − | 0.473764i | −0.996380 | − | 0.0850133i | \(-0.972907\pi\) |
0.921343 | − | 0.388751i | \(-0.127093\pi\) | |||||||
\(168\) | 2.92379 | − | 1.00749i | 0.225575 | − | 0.0777296i | ||||
\(169\) | −7.59187 | + | 10.4493i | −0.583990 | + | 0.803793i | ||||
\(170\) | −21.9374 | − | 18.5048i | −1.68252 | − | 1.41926i | ||||
\(171\) | −4.59253 | − | 1.31461i | −0.351199 | − | 0.100531i | ||||
\(172\) | 1.64091 | − | 10.3603i | 0.125119 | − | 0.789967i | ||||
\(173\) | 19.1710 | + | 9.76812i | 1.45755 | + | 0.742656i | 0.989967 | − | 0.141296i | \(-0.0451268\pi\) |
0.467578 | + | 0.883952i | \(0.345127\pi\) | |||||||
\(174\) | −9.79192 | + | 20.0881i | −0.742324 | + | 1.52287i | ||||
\(175\) | 4.99962 | − | 0.0613156i | 0.377936 | − | 0.00463502i | ||||
\(176\) | − | 5.87097i | − | 0.442541i | ||||||
\(177\) | 6.18588 | − | 4.66361i | 0.464959 | − | 0.350539i | ||||
\(178\) | −4.02789 | − | 0.637956i | −0.301903 | − | 0.0478168i | ||||
\(179\) | 5.59994 | − | 4.06859i | 0.418559 | − | 0.304101i | −0.358499 | − | 0.933530i | \(-0.616711\pi\) |
0.777058 | + | 0.629429i | \(0.216711\pi\) | |||||||
\(180\) | 15.6709 | − | 10.5215i | 1.16804 | − | 0.784228i | ||||
\(181\) | 6.51312 | + | 4.73206i | 0.484116 | + | 0.351731i | 0.802917 | − | 0.596091i | \(-0.203280\pi\) |
−0.318801 | + | 0.947822i | \(0.603280\pi\) | |||||||
\(182\) | −0.449472 | − | 0.449472i | −0.0333171 | − | 0.0333171i | ||||
\(183\) | 7.09835 | − | 23.2367i | 0.524725 | − | 1.71770i | ||||
\(184\) | −15.9904 | − | 5.19559i | −1.17883 | − | 0.383024i | ||||
\(185\) | 0.331075 | + | 3.90077i | 0.0243412 | + | 0.286790i | ||||
\(186\) | −6.15322 | − | 0.863343i | −0.451176 | − | 0.0633034i | ||||
\(187\) | 9.11716 | + | 17.8934i | 0.666713 | + | 1.30850i | ||||
\(188\) | 12.1391 | + | 23.8244i | 0.885338 | + | 1.73757i | ||||
\(189\) | 2.60116 | + | 4.49822i | 0.189207 | + | 0.327197i | ||||
\(190\) | −0.660660 | − | 7.78397i | −0.0479293 | − | 0.564709i | ||||
\(191\) | −6.07703 | − | 1.97455i | −0.439719 | − | 0.142873i | 0.0807871 | − | 0.996731i | \(-0.474257\pi\) |
−0.520506 | + | 0.853858i | \(0.674257\pi\) | |||||||
\(192\) | −20.9493 | − | 6.39960i | −1.51189 | − | 0.461852i | ||||
\(193\) | −18.1548 | − | 18.1548i | −1.30681 | − | 1.30681i | −0.923704 | − | 0.383106i | \(-0.874854\pi\) |
−0.383106 | − | 0.923704i | \(-0.625146\pi\) | |||||||
\(194\) | −28.1659 | − | 20.4637i | −2.02219 | − | 1.46921i | ||||
\(195\) | −0.970411 | − | 0.563333i | −0.0694925 | − | 0.0403411i | ||||
\(196\) | −2.27640 | + | 1.65390i | −0.162600 | + | 0.118136i | ||||
\(197\) | −18.8297 | − | 2.98233i | −1.34156 | − | 0.212482i | −0.555955 | − | 0.831212i | \(-0.687647\pi\) |
−0.785604 | + | 0.618730i | \(0.787647\pi\) | |||||||
\(198\) | −22.1786 | + | 4.32162i | −1.57617 | + | 0.307124i | ||||
\(199\) | − | 17.9453i | − | 1.27211i | −0.771643 | − | 0.636056i | \(-0.780565\pi\) | ||
0.771643 | − | 0.636056i | \(-0.219435\pi\) | |||||||
\(200\) | 7.28614 | + | 5.15837i | 0.515208 | + | 0.364752i | ||||
\(201\) | 0.392656 | + | 0.191400i | 0.0276958 | + | 0.0135003i | ||||
\(202\) | −22.8788 | − | 11.6573i | −1.60975 | − | 0.820207i | ||||
\(203\) | 0.919938 | − | 5.80826i | 0.0645670 | − | 0.407660i | ||||
\(204\) | 28.0760 | − | 4.95718i | 1.96571 | − | 0.347072i | ||||
\(205\) | −10.0031 | − | 8.43791i | −0.698645 | − | 0.589329i | ||||
\(206\) | 7.91027 | − | 10.8875i | 0.551134 | − | 0.758571i | ||||
\(207\) | 3.43002 | − | 28.0413i | 0.238403 | − | 1.94901i | ||||
\(208\) | 0.0775094 | + | 0.489375i | 0.00537431 | + | 0.0339321i | ||||
\(209\) | −1.68918 | + | 5.19877i | −0.116843 | + | 0.359606i | ||||
\(210\) | −5.36323 | + | 6.59109i | −0.370098 | + | 0.454828i | ||||
\(211\) | −6.00186 | − | 18.4718i | −0.413185 | − | 1.27165i | −0.913864 | − | 0.406021i | \(-0.866916\pi\) |
0.500679 | − | 0.865633i | \(-0.333084\pi\) | |||||||
\(212\) | −14.7737 | + | 7.52758i | −1.01466 | + | 0.516996i | ||||
\(213\) | −0.305630 | − | 17.2830i | −0.0209414 | − | 1.18421i | ||||
\(214\) | −16.9476 | + | 5.50659i | −1.15851 | + | 0.376423i | ||||
\(215\) | 3.23714 | + | 7.68159i | 0.220771 | + | 0.523880i | ||||
\(216\) | −0.963432 | + | 9.22736i | −0.0655533 | + | 0.627842i | ||||
\(217\) | 1.61492 | − | 0.255779i | 0.109628 | − | 0.0173634i | ||||
\(218\) | −30.4835 | + | 30.4835i | −2.06460 | + | 2.06460i | ||||
\(219\) | 13.7281 | − | 7.30336i | 0.927656 | − | 0.493516i | ||||
\(220\) | −11.3983 | − | 18.3468i | −0.768470 | − | 1.23694i | ||||
\(221\) | −0.996193 | − | 1.37114i | −0.0670112 | − | 0.0922329i | ||||
\(222\) | −5.45082 | − | 3.81484i | −0.365835 | − | 0.256036i | ||||
\(223\) | −11.4539 | + | 22.4795i | −0.767009 | + | 1.50534i | 0.0933403 | + | 0.995634i | \(0.470246\pi\) |
−0.860349 | + | 0.509705i | \(0.829754\pi\) | |||||||
\(224\) | 7.32316 | 0.489299 | ||||||||
\(225\) | −6.16583 | + | 13.6742i | −0.411055 | + | 0.911610i | ||||
\(226\) | 17.8071 | 1.18451 | ||||||||
\(227\) | 2.32409 | − | 4.56129i | 0.154255 | − | 0.302743i | −0.800927 | − | 0.598763i | \(-0.795659\pi\) |
0.955182 | + | 0.296019i | \(0.0956593\pi\) | |||||||
\(228\) | 6.35794 | + | 4.44971i | 0.421065 | + | 0.294689i | ||||
\(229\) | −3.16833 | − | 4.36083i | −0.209369 | − | 0.288172i | 0.691398 | − | 0.722474i | \(-0.256995\pi\) |
−0.900767 | + | 0.434302i | \(0.856995\pi\) | |||||||
\(230\) | 44.8554 | − | 11.0601i | 2.95767 | − | 0.729284i | ||||
\(231\) | 5.24934 | − | 2.79267i | 0.345381 | − | 0.183744i | ||||
\(232\) | 7.42439 | − | 7.42439i | 0.487435 | − | 0.487435i | ||||
\(233\) | 6.02202 | − | 0.953794i | 0.394516 | − | 0.0624852i | 0.0439750 | − | 0.999033i | \(-0.485998\pi\) |
0.350541 | + | 0.936547i | \(0.385998\pi\) | |||||||
\(234\) | 1.79165 | − | 0.653034i | 0.117123 | − | 0.0426902i | ||||
\(235\) | −18.1854 | − | 10.9912i | −1.18628 | − | 0.716988i | ||||
\(236\) | −11.9692 | + | 3.88901i | −0.779126 | + | 0.253153i | ||||
\(237\) | −0.117852 | − | 6.66437i | −0.00765531 | − | 0.432897i | ||||
\(238\) | −11.4360 | + | 5.82694i | −0.741286 | + | 0.377704i | ||||
\(239\) | −7.63602 | − | 23.5013i | −0.493933 | − | 1.52017i | −0.818612 | − | 0.574346i | \(-0.805256\pi\) |
0.324679 | − | 0.945824i | \(-0.394744\pi\) | |||||||
\(240\) | 6.40193 | − | 1.69917i | 0.413243 | − | 0.109681i | ||||
\(241\) | −5.64570 | + | 17.3757i | −0.363672 | + | 1.11927i | 0.587137 | + | 0.809488i | \(0.300255\pi\) |
−0.950809 | + | 0.309779i | \(0.899745\pi\) | |||||||
\(242\) | 0.269382 | + | 1.70081i | 0.0173165 | + | 0.109332i | ||||
\(243\) | −15.5276 | + | 1.37638i | −0.996094 | + | 0.0882951i | ||||
\(244\) | −23.2004 | + | 31.9326i | −1.48525 | + | 2.04428i | ||||
\(245\) | 0.843023 | − | 2.07107i | 0.0538588 | − | 0.132316i | ||||
\(246\) | 21.9018 | − | 3.86705i | 1.39641 | − | 0.246554i | ||||
\(247\) | 0.0721669 | − | 0.455644i | 0.00459187 | − | 0.0289919i | ||||
\(248\) | 2.60113 | + | 1.32534i | 0.165172 | + | 0.0841594i | ||||
\(249\) | 20.1467 | + | 9.82049i | 1.27674 | + | 0.622348i | ||||
\(250\) | −24.4857 | − | 1.47446i | −1.54861 | − | 0.0932531i | ||||
\(251\) | 9.29018i | 0.586391i | 0.956053 | + | 0.293196i | \(0.0947187\pi\) | ||||
−0.956053 | + | 0.293196i | \(0.905281\pi\) | |||||||
\(252\) | −1.61447 | − | 8.28551i | −0.101702 | − | 0.521938i | ||||
\(253\) | −31.9290 | − | 5.05705i | −2.00736 | − | 0.317934i | ||||
\(254\) | −2.14995 | + | 1.56203i | −0.134900 | + | 0.0980103i | ||||
\(255\) | −16.8730 | + | 15.1204i | −1.05663 | + | 0.946875i | ||||
\(256\) | 2.79186 | + | 2.02841i | 0.174491 | + | 0.126775i | ||||
\(257\) | 1.11696 | + | 1.11696i | 0.0696738 | + | 0.0696738i | 0.741085 | − | 0.671411i | \(-0.234312\pi\) |
−0.671411 | + | 0.741085i | \(0.734312\pi\) | |||||||
\(258\) | −13.5486 | − | 4.13883i | −0.843498 | − | 0.257672i | ||||
\(259\) | 1.66506 | + | 0.541011i | 0.103462 | + | 0.0336168i | ||||
\(260\) | 1.19232 | + | 1.37882i | 0.0739445 | + | 0.0855105i | ||||
\(261\) | 14.6304 | + | 9.85857i | 0.905597 | + | 0.610230i | ||||
\(262\) | 13.8549 | + | 27.1917i | 0.855956 | + | 1.67991i | ||||
\(263\) | 5.73627 | + | 11.2581i | 0.353714 | + | 0.694202i | 0.997475 | − | 0.0710244i | \(-0.0226268\pi\) |
−0.643761 | + | 0.765227i | \(0.722627\pi\) | |||||||
\(264\) | 10.5133 | + | 1.47510i | 0.647050 | + | 0.0907860i | ||||
\(265\) | 6.81574 | − | 11.2769i | 0.418688 | − | 0.692735i | ||||
\(266\) | −3.32262 | − | 1.07959i | −0.203723 | − | 0.0661937i | ||||
\(267\) | −0.940558 | + | 3.07895i | −0.0575612 | + | 0.188429i | ||||
\(268\) | −0.501785 | − | 0.501785i | −0.0306514 | − | 0.0306514i | ||||
\(269\) | −4.90957 | − | 3.56701i | −0.299342 | − | 0.217485i | 0.427968 | − | 0.903794i | \(-0.359230\pi\) |
−0.727310 | + | 0.686309i | \(0.759230\pi\) | |||||||
\(270\) | −11.1314 | − | 22.9337i | −0.677433 | − | 1.39570i | ||||
\(271\) | 3.83778 | − | 2.78831i | 0.233128 | − | 0.169378i | −0.465088 | − | 0.885264i | \(-0.653977\pi\) |
0.698216 | + | 0.715887i | \(0.253977\pi\) | |||||||
\(272\) | 9.88139 | + | 1.56506i | 0.599147 | + | 0.0948956i | ||||
\(273\) | −0.400690 | + | 0.302085i | −0.0242509 | + | 0.0182830i | ||||
\(274\) | 14.9108i | 0.900792i | ||||||||
\(275\) | 15.3881 | + | 7.60441i | 0.927939 | + | 0.458563i | ||||
\(276\) | −20.1090 | + | 41.2536i | −1.21042 | + | 2.48318i | ||||
\(277\) | −3.22250 | − | 1.64194i | −0.193621 | − | 0.0986549i | 0.354492 | − | 0.935059i | \(-0.384654\pi\) |
−0.548113 | + | 0.836404i | \(0.684654\pi\) | |||||||
\(278\) | 2.35727 | − | 14.8832i | 0.141380 | − | 0.892635i | ||||
\(279\) | −1.34989 | + | 4.71576i | −0.0808157 | + | 0.282325i | ||||
\(280\) | 3.39123 | − | 2.10686i | 0.202665 | − | 0.125909i | ||||
\(281\) | 14.5700 | − | 20.0538i | 0.869172 | − | 1.19631i | −0.110132 | − | 0.993917i | \(-0.535127\pi\) |
0.979304 | − | 0.202395i | \(-0.0648725\pi\) | |||||||
\(282\) | 34.1422 | − | 11.7648i | 2.03314 | − | 0.700585i | ||||
\(283\) | 2.42942 | + | 15.3387i | 0.144414 | + | 0.911793i | 0.948384 | + | 0.317124i | \(0.102717\pi\) |
−0.803970 | + | 0.594669i | \(0.797283\pi\) | |||||||
\(284\) | −8.67757 | + | 26.7068i | −0.514919 | + | 1.58476i | ||||
\(285\) | −6.15782 | − | 0.337330i | −0.364758 | − | 0.0199817i | ||||
\(286\) | −0.674314 | − | 2.07532i | −0.0398730 | − | 0.122716i | ||||
\(287\) | −5.21463 | + | 2.65699i | −0.307810 | + | 0.156837i | ||||
\(288\) | −9.27559 | + | 19.9154i | −0.546570 | + | 1.17352i | ||||
\(289\) | −16.3788 | + | 5.32178i | −0.963456 | + | 0.313046i | ||||
\(290\) | −6.56289 | + | 28.0942i | −0.385386 | + | 1.64975i | ||||
\(291\) | −19.0876 | + | 19.7748i | −1.11894 | + | 1.15922i | ||||
\(292\) | −24.9503 | + | 3.95174i | −1.46011 | + | 0.231258i | ||||
\(293\) | 6.91907 | − | 6.91907i | 0.404216 | − | 0.404216i | −0.475500 | − | 0.879716i | \(-0.657733\pi\) |
0.879716 | + | 0.475500i | \(0.157733\pi\) | |||||||
\(294\) | 1.78484 | + | 3.35495i | 0.104094 | + | 0.195665i | ||||
\(295\) | 6.44851 | − | 7.64465i | 0.375446 | − | 0.445089i | ||||
\(296\) | 1.83735 | + | 2.52890i | 0.106794 | + | 0.146989i | ||||
\(297\) | 0.945789 | + | 17.8128i | 0.0548803 | + | 1.03360i | ||||
\(298\) | −4.04784 | + | 7.94433i | −0.234485 | + | 0.460203i | ||||
\(299\) | 2.72820 | 0.157776 | ||||||||
\(300\) | 16.7072 | − | 17.7390i | 0.964589 | − | 1.02416i | ||||
\(301\) | 3.72789 | 0.214872 | ||||||||
\(302\) | −10.0227 | + | 19.6706i | −0.576739 | + | 1.13191i | ||||
\(303\) | −11.6230 | + | 16.6075i | −0.667726 | + | 0.954075i | ||||
\(304\) | 1.60066 | + | 2.20311i | 0.0918040 | + | 0.126357i | ||||
\(305\) | 2.26923 | − | 31.2847i | 0.129936 | − | 1.79136i | ||||
\(306\) | −1.36140 | − | 38.4807i | −0.0778263 | − | 2.19980i | ||||
\(307\) | 14.1948 | − | 14.1948i | 0.810142 | − | 0.810142i | −0.174513 | − | 0.984655i | \(-0.555835\pi\) |
0.984655 | + | 0.174513i | \(0.0558350\pi\) | |||||||
\(308\) | −9.54052 | + | 1.51107i | −0.543622 | + | 0.0861012i | ||||
\(309\) | −7.64399 | − | 7.37833i | −0.434851 | − | 0.419739i | ||||
\(310\) | −7.99284 | + | 0.678388i | −0.453963 | + | 0.0385299i | ||||
\(311\) | −8.02850 | + | 2.60862i | −0.455254 | + | 0.147921i | −0.527663 | − | 0.849454i | \(-0.676932\pi\) |
0.0724083 | + | 0.997375i | \(0.476932\pi\) | |||||||
\(312\) | −0.895812 | + | 0.0158414i | −0.0507154 | + | 0.000896845i | ||||
\(313\) | −18.0926 | + | 9.21864i | −1.02265 | + | 0.521068i | −0.883119 | − | 0.469149i | \(-0.844561\pi\) |
−0.139535 | + | 0.990217i | \(0.544561\pi\) | |||||||
\(314\) | −3.99078 | − | 12.2824i | −0.225213 | − | 0.693133i | ||||
\(315\) | 4.56449 | + | 4.91584i | 0.257180 | + | 0.276976i | ||||
\(316\) | −3.34610 | + | 10.2982i | −0.188233 | + | 0.579321i | ||||
\(317\) | −0.357144 | − | 2.25492i | −0.0200592 | − | 0.126649i | 0.975627 | − | 0.219437i | \(-0.0704221\pi\) |
−0.995686 | + | 0.0927881i | \(0.970422\pi\) | |||||||
\(318\) | 7.29546 | + | 21.1718i | 0.409109 | + | 1.18726i | ||||
\(319\) | 11.8661 | − | 16.3322i | 0.664372 | − | 0.914430i | ||||
\(320\) | −28.2051 | − | 2.04586i | −1.57671 | − | 0.114367i | ||||
\(321\) | 2.44597 | + | 13.8533i | 0.136521 | + | 0.773214i | ||||
\(322\) | 3.23205 | − | 20.4064i | 0.180115 | − | 1.13720i | ||||
\(323\) | −8.29971 | − | 4.22891i | −0.461808 | − | 0.235303i | ||||
\(324\) | 24.5774 | + | 6.10395i | 1.36541 | + | 0.339108i | ||||
\(325\) | −1.38307 | − | 0.430709i | −0.0767191 | − | 0.0238914i | ||||
\(326\) | 17.1453i | 0.949588i | ||||||||
\(327\) | 20.4876 | + | 27.1751i | 1.13297 | + | 1.50279i | ||||
\(328\) | −10.3208 | − | 1.63465i | −0.569870 | − | 0.0902585i | ||||
\(329\) | −7.68792 | + | 5.58560i | −0.423849 | + | 0.307944i | ||||
\(330\) | −26.6770 | + | 11.8018i | −1.46852 | + | 0.649669i | ||||
\(331\) | −21.1353 | − | 15.3557i | −1.16170 | − | 0.844026i | −0.171710 | − | 0.985147i | \(-0.554929\pi\) |
−0.989992 | + | 0.141121i | \(0.954929\pi\) | |||||||
\(332\) | −25.7460 | − | 25.7460i | −1.41299 | − | 1.41299i | ||||
\(333\) | −3.58026 | + | 3.84289i | −0.196197 | + | 0.210589i | ||||
\(334\) | 12.9345 | + | 4.20267i | 0.707745 | + | 0.229960i | ||||
\(335\) | 0.549149 | + | 0.128283i | 0.0300032 | + | 0.00700884i | ||||
\(336\) | 0.411582 | − | 2.93343i | 0.0224536 | − | 0.160032i | ||||
\(337\) | 0.791500 | + | 1.55341i | 0.0431157 | + | 0.0846194i | 0.911559 | − | 0.411169i | \(-0.134879\pi\) |
−0.868444 | + | 0.495788i | \(0.834879\pi\) | |||||||
\(338\) | −12.8653 | − | 25.2496i | −0.699780 | − | 1.37340i | ||||
\(339\) | 1.95325 | − | 13.9212i | 0.106086 | − | 0.756096i | ||||
\(340\) | 33.9178 | − | 14.2935i | 1.83945 | − | 0.775175i | ||||
\(341\) | 5.33827 | + | 1.73451i | 0.289083 | + | 0.0939289i | ||||
\(342\) | 7.14441 | − | 7.66847i | 0.386325 | − | 0.414663i | ||||
\(343\) | −0.707107 | − | 0.707107i | −0.0381802 | − | 0.0381802i | ||||
\(344\) | 5.38482 | + | 3.91230i | 0.290330 | + | 0.210937i | ||||
\(345\) | −3.72643 | − | 36.2802i | −0.200624 | − | 1.95326i | ||||
\(346\) | −38.1913 | + | 27.7476i | −2.05318 | + | 1.49172i | ||||
\(347\) | 3.55883 | + | 0.563663i | 0.191048 | + | 0.0302590i | 0.251225 | − | 0.967929i | \(-0.419167\pi\) |
−0.0601771 | + | 0.998188i | \(0.519167\pi\) | |||||||
\(348\) | −17.2533 | − | 22.8850i | −0.924872 | − | 1.22676i | ||||
\(349\) | 7.13409i | 0.381879i | 0.981602 | + | 0.190939i | \(0.0611534\pi\) | ||||
−0.981602 | + | 0.190939i | \(0.938847\pi\) | |||||||
\(350\) | −4.86011 | + | 9.83483i | −0.259784 | + | 0.525694i | ||||
\(351\) | −0.314004 | − | 1.47230i | −0.0167603 | − | 0.0785857i | ||||
\(352\) | 22.3997 | + | 11.4132i | 1.19391 | + | 0.608326i | ||||
\(353\) | 2.55792 | − | 16.1501i | 0.136144 | − | 0.859582i | −0.821202 | − | 0.570638i | \(-0.806696\pi\) |
0.957346 | − | 0.288944i | \(-0.0933040\pi\) | |||||||
\(354\) | 2.95532 | + | 16.7380i | 0.157073 | + | 0.889617i | ||||
\(355\) | −5.34245 | − | 21.6668i | −0.283548 | − | 1.14995i | ||||
\(356\) | 3.07414 | − | 4.23119i | 0.162929 | − | 0.224253i | ||||
\(357\) | 3.30097 | + | 9.57959i | 0.174706 | + | 0.507006i | ||||
\(358\) | 2.37575 | + | 14.9999i | 0.125562 | + | 0.792769i | ||||
\(359\) | −0.978955 | + | 3.01291i | −0.0516673 | + | 0.159016i | −0.973561 | − | 0.228427i | \(-0.926642\pi\) |
0.921894 | + | 0.387443i | \(0.126642\pi\) | |||||||
\(360\) | 1.43424 | + | 11.8910i | 0.0755913 | + | 0.626713i | ||||
\(361\) | 5.08781 | + | 15.6587i | 0.267780 | + | 0.824141i | ||||
\(362\) | −15.7382 | + | 8.01901i | −0.827182 | + | 0.421470i | ||||
\(363\) | 1.35921 | − | 0.0240361i | 0.0713399 | − | 0.00126157i | ||||
\(364\) | 0.775301 | − | 0.251911i | 0.0406368 | − | 0.0132037i | ||||
\(365\) | 15.1848 | − | 13.1309i | 0.794807 | − | 0.687302i | ||||
\(366\) | 38.3549 | + | 37.0219i | 2.00484 | + | 1.93517i | ||||
\(367\) | 12.7562 | − | 2.02039i | 0.665870 | − | 0.105464i | 0.185656 | − | 0.982615i | \(-0.440559\pi\) |
0.480214 | + | 0.877151i | \(0.340559\pi\) | |||||||
\(368\) | −11.3877 | + | 11.3877i | −0.593624 | + | 0.593624i | ||||
\(369\) | −0.620778 | − | 17.5466i | −0.0323164 | − | 0.913438i | ||||
\(370\) | −7.95537 | − | 3.23822i | −0.413580 | − | 0.168347i | ||||
\(371\) | −3.46368 | − | 4.76734i | −0.179825 | − | 0.247508i | ||||
\(372\) | 4.56911 | − | 6.52855i | 0.236897 | − | 0.338489i | ||||
\(373\) | 0.108882 | − | 0.213693i | 0.00563769 | − | 0.0110646i | −0.888171 | − | 0.459514i | \(-0.848024\pi\) |
0.893808 | + | 0.448449i | \(0.148024\pi\) | |||||||
\(374\) | −44.0611 | −2.27835 | ||||||||
\(375\) | −3.83853 | + | 18.9807i | −0.198221 | + | 0.980157i | ||||
\(376\) | −16.9669 | −0.874999 | ||||||||
\(377\) | −0.773476 | + | 1.51803i | −0.0398360 | + | 0.0781826i | ||||
\(378\) | −11.3845 | + | 0.604471i | −0.585555 | + | 0.0310906i | ||||
\(379\) | −6.45993 | − | 8.89133i | −0.331824 | − | 0.456717i | 0.610207 | − | 0.792242i | \(-0.291086\pi\) |
−0.942031 | + | 0.335525i | \(0.891086\pi\) | |||||||
\(380\) | 9.27931 | + | 3.77712i | 0.476019 | + | 0.193762i | ||||
\(381\) | 0.985334 | + | 1.85212i | 0.0504802 | + | 0.0948871i | ||||
\(382\) | 9.91319 | − | 9.91319i | 0.507203 | − | 0.507203i | ||||
\(383\) | 2.04469 | − | 0.323847i | 0.104479 | − | 0.0165478i | −0.103976 | − | 0.994580i | \(-0.533157\pi\) |
0.208455 | + | 0.978032i | \(0.433157\pi\) | |||||||
\(384\) | 15.7595 | − | 16.3269i | 0.804224 | − | 0.833180i | ||||
\(385\) | 5.80636 | − | 5.02100i | 0.295920 | − | 0.255894i | ||||
\(386\) | 53.5742 | − | 17.4073i | 2.72685 | − | 0.886009i | ||||
\(387\) | −4.72179 | + | 10.1380i | −0.240022 | + | 0.515344i | ||||
\(388\) | 39.7826 | − | 20.2703i | 2.01966 | − | 1.02907i | ||||
\(389\) | −9.75095 | − | 30.0103i | −0.494393 | − | 1.52159i | −0.817901 | − | 0.575360i | \(-0.804862\pi\) |
0.323508 | − | 0.946226i | \(-0.395138\pi\) | |||||||
\(390\) | 2.06785 | − | 1.33593i | 0.104710 | − | 0.0676477i | ||||
\(391\) | 17.0230 | − | 52.3913i | 0.860889 | − | 2.64954i | ||||
\(392\) | −0.279307 | − | 1.76348i | −0.0141072 | − | 0.0890690i | ||||
\(393\) | 22.7776 | − | 7.84880i | 1.14898 | − | 0.395919i | ||||
\(394\) | 24.5858 | − | 33.8395i | 1.23862 | − | 1.70481i | ||||
\(395\) | −2.06007 | − | 8.35478i | −0.103653 | − | 0.420374i | ||||
\(396\) | 7.97477 | − | 27.8594i | 0.400747 | − | 1.39999i | ||||
\(397\) | −3.21399 | + | 20.2923i | −0.161305 | + | 1.01844i | 0.765646 | + | 0.643262i | \(0.222419\pi\) |
−0.926952 | + | 0.375181i | \(0.877581\pi\) | |||||||
\(398\) | 35.0813 | + | 17.8748i | 1.75847 | + | 0.895984i | ||||
\(399\) | −1.20846 | + | 2.47914i | −0.0604984 | + | 0.124112i | ||||
\(400\) | 7.57083 | − | 3.97522i | 0.378542 | − | 0.198761i | ||||
\(401\) | 34.5804i | 1.72686i | 0.504466 | + | 0.863432i | \(0.331689\pi\) | ||||
−0.504466 | + | 0.863432i | \(0.668311\pi\) | |||||||
\(402\) | −0.765279 | + | 0.576954i | −0.0381687 | + | 0.0287758i | ||||
\(403\) | −0.467871 | − | 0.0741034i | −0.0233063 | − | 0.00369136i | ||||
\(404\) | 26.6414 | − | 19.3561i | 1.32546 | − | 0.963002i | ||||
\(405\) | −19.1501 | + | 6.18669i | −0.951574 | + | 0.307419i | ||||
\(406\) | 10.4382 | + | 7.58381i | 0.518040 | + | 0.376378i | ||||
\(407\) | 4.24982 | + | 4.24982i | 0.210656 | + | 0.210656i | ||||
\(408\) | −5.28532 | + | 17.3017i | −0.261662 | + | 0.856560i | ||||
\(409\) | 11.8764 | + | 3.85888i | 0.587251 | + | 0.190810i | 0.587547 | − | 0.809190i | \(-0.300094\pi\) |
−0.000295063 | 1.00000i | \(0.500094\pi\) | ||||||||
\(410\) | 26.4590 | − | 11.1502i | 1.30672 | − | 0.550671i | ||||
\(411\) | 11.6569 | + | 1.63555i | 0.574994 | + | 0.0806760i | ||||
\(412\) | 7.83549 | + | 15.3780i | 0.386027 | + | 0.757620i | ||||
\(413\) | −2.03055 | − | 3.98518i | −0.0999169 | − | 0.196098i | ||||
\(414\) | 51.4014 | + | 34.6365i | 2.52624 | + | 1.70229i | ||||
\(415\) | 28.1762 | + | 6.58204i | 1.38311 | + | 0.323099i | ||||
\(416\) | −2.01780 | − | 0.655624i | −0.0989310 | − | 0.0321446i | ||||
\(417\) | −11.3768 | − | 3.47540i | −0.557125 | − | 0.170191i | ||||
\(418\) | −8.48051 | − | 8.48051i | −0.414795 | − | 0.414795i | ||||
\(419\) | 26.5729 | + | 19.3063i | 1.29817 | + | 0.943175i | 0.999936 | − | 0.0113183i | \(-0.00360279\pi\) |
0.298233 | + | 0.954493i | \(0.403603\pi\) | |||||||
\(420\) | −4.40893 | − | 9.96602i | −0.215134 | − | 0.486292i | ||||
\(421\) | 19.4269 | − | 14.1145i | 0.946810 | − | 0.687897i | −0.00324050 | − | 0.999995i | \(-0.501031\pi\) |
0.950050 | + | 0.312097i | \(0.101031\pi\) | |||||||
\(422\) | 42.0888 | + | 6.66622i | 2.04885 | + | 0.324506i | ||||
\(423\) | −5.45246 | − | 27.9821i | −0.265108 | − | 1.36054i | ||||
\(424\) | − | 10.5213i | − | 0.510958i | ||||||
\(425\) | −16.9010 | + | 23.8725i | −0.819820 | + | 1.15799i | ||||
\(426\) | 34.0909 | + | 16.6176i | 1.65171 | + | 0.805124i | ||||
\(427\) | −12.4988 | − | 6.36845i | −0.604858 | − | 0.308191i | ||||
\(428\) | 3.57503 | − | 22.5719i | 0.172806 | − | 1.09105i | ||||
\(429\) | −1.69641 | + | 0.299523i | −0.0819035 | + | 0.0144611i | ||||
\(430\) | −18.2411 | − | 1.32312i | −0.879666 | − | 0.0638065i | ||||
\(431\) | −15.4055 | + | 21.2038i | −0.742056 | + | 1.02135i | 0.256441 | + | 0.966560i | \(0.417450\pi\) |
−0.998498 | + | 0.0547932i | \(0.982550\pi\) | |||||||
\(432\) | 7.45615 | + | 4.83481i | 0.358734 | + | 0.232615i | ||||
\(433\) | −5.51699 | − | 34.8329i | −0.265130 | − | 1.67396i | −0.656960 | − | 0.753926i | \(-0.728158\pi\) |
0.391830 | − | 0.920038i | \(-0.371842\pi\) | |||||||
\(434\) | −1.10856 | + | 3.41178i | −0.0532123 | + | 0.163771i | ||||
\(435\) | 21.2436 | + | 8.21237i | 1.01855 | + | 0.393753i | ||||
\(436\) | −17.0848 | − | 52.5815i | −0.818212 | − | 2.51820i | ||||
\(437\) | 13.3603 | − | 6.80740i | 0.639108 | − | 0.325642i | ||||
\(438\) | 0.603226 | + | 34.1116i | 0.0288232 | + | 1.62992i | ||||
\(439\) | 19.3366 | − | 6.28285i | 0.922886 | − | 0.299864i | 0.191236 | − | 0.981544i | \(-0.438750\pi\) |
0.731650 | + | 0.681680i | \(0.238750\pi\) | |||||||
\(440\) | 13.6565 | − | 1.15909i | 0.651047 | − | 0.0552572i | ||||
\(441\) | 2.81861 | − | 1.02735i | 0.134219 | − | 0.0489214i | ||||
\(442\) | 3.67272 | − | 0.581701i | 0.174693 | − | 0.0276687i | ||||
\(443\) | −12.0962 | + | 12.0962i | −0.574710 | + | 0.574710i | −0.933441 | − | 0.358731i | \(-0.883210\pi\) |
0.358731 | + | 0.933441i | \(0.383210\pi\) | |||||||
\(444\) | 7.53280 | − | 4.00747i | 0.357491 | − | 0.190186i | ||||
\(445\) | −0.300682 | + | 4.14534i | −0.0142537 | + | 0.196508i | ||||
\(446\) | −32.5363 | − | 44.7823i | −1.54064 | − | 2.12051i | ||||
\(447\) | 5.76671 | + | 4.03593i | 0.272756 | + | 0.190893i | ||||
\(448\) | −5.74155 | + | 11.2684i | −0.271263 | + | 0.532383i | ||||
\(449\) | −21.2925 | −1.00486 | −0.502428 | − | 0.864619i | \(-0.667560\pi\) | ||||
−0.502428 | + | 0.864619i | \(0.667560\pi\) | |||||||
\(450\) | −20.5900 | − | 25.6740i | −0.970621 | − | 1.21028i | ||||
\(451\) | −20.0912 | −0.946056 | ||||||||
\(452\) | −10.3678 | + | 20.3479i | −0.487660 | + | 0.957087i | ||||
\(453\) | 14.2787 | + | 9.99316i | 0.670870 | + | 0.469520i | ||||
\(454\) | 6.60189 | + | 9.08672i | 0.309842 | + | 0.426461i | ||||
\(455\) | −0.417702 | + | 0.495182i | −0.0195822 | + | 0.0232145i | ||||
\(456\) | −4.34735 | + | 2.31280i | −0.203583 | + | 0.108307i | ||||
\(457\) | −23.0713 | + | 23.0713i | −1.07923 | + | 1.07923i | −0.0826516 | + | 0.996578i | \(0.526339\pi\) |
−0.996578 | + | 0.0826516i | \(0.973661\pi\) | |||||||
\(458\) | 11.6809 | − | 1.85007i | 0.545811 | − | 0.0864479i | ||||
\(459\) | −30.2328 | − | 3.15662i | −1.41114 | − | 0.147338i | ||||
\(460\) | −13.4778 | + | 57.6952i | −0.628405 | + | 2.69005i | ||||
\(461\) | −11.9705 | + | 3.88947i | −0.557524 | + | 0.181151i | −0.574207 | − | 0.818710i | \(-0.694689\pi\) |
0.0166828 | + | 0.999861i | \(0.494689\pi\) | |||||||
\(462\) | 0.230662 | + | 13.0436i | 0.0107314 | + | 0.606844i | ||||
\(463\) | −25.1780 | + | 12.8289i | −1.17012 | + | 0.596207i | −0.927467 | − | 0.373905i | \(-0.878019\pi\) |
−0.242656 | + | 0.970112i | \(0.578019\pi\) | |||||||
\(464\) | −3.10782 | − | 9.56489i | −0.144277 | − | 0.444039i | ||||
\(465\) | −0.346382 | + | 6.32305i | −0.0160631 | + | 0.293225i | ||||
\(466\) | −4.13378 | + | 12.7225i | −0.191494 | + | 0.589358i | ||||
\(467\) | −5.79729 | − | 36.6026i | −0.268266 | − | 1.69377i | −0.642381 | − | 0.766385i | \(-0.722053\pi\) |
0.374115 | − | 0.927382i | \(-0.377947\pi\) | |||||||
\(468\) | −0.296933 | + | 2.42751i | −0.0137257 | + | 0.112212i | ||||
\(469\) | 0.148239 | − | 0.204033i | 0.00684502 | − | 0.00942136i | ||||
\(470\) | 39.6006 | − | 24.6026i | 1.82664 | − | 1.13483i | ||||
\(471\) | −10.0398 | + | 1.77266i | −0.462611 | + | 0.0816800i | ||||
\(472\) | 1.24925 | − | 7.88745i | 0.0575014 | − | 0.363050i | ||||
\(473\) | 11.4027 | + | 5.80995i | 0.524295 | + | 0.267142i | ||||
\(474\) | 13.1455 | + | 6.40779i | 0.603795 | + | 0.294319i | ||||
\(475\) | −7.84774 | + | 1.34181i | −0.360079 | + | 0.0615665i | ||||
\(476\) | − | 16.4604i | − | 0.754461i | ||||||
\(477\) | 17.3519 | − | 3.38111i | 0.794490 | − | 0.154811i | ||||
\(478\) | 53.5486 | + | 8.48126i | 2.44925 | + | 0.387924i | ||||
\(479\) | −21.8536 | + | 15.8776i | −0.998516 | + | 0.725464i | −0.961769 | − | 0.273861i | \(-0.911699\pi\) |
−0.0367462 | + | 0.999325i | \(0.511699\pi\) | |||||||
\(480\) | −5.96252 | + | 27.7287i | −0.272150 | + | 1.26563i | ||||
\(481\) | −0.410351 | − | 0.298137i | −0.0187104 | − | 0.0135939i | ||||
\(482\) | −28.3442 | − | 28.3442i | −1.29104 | − | 1.29104i | ||||
\(483\) | −15.5988 | − | 4.76512i | −0.709768 | − | 0.216820i | ||||
\(484\) | −2.10034 | − | 0.682442i | −0.0954700 | − | 0.0310201i | ||||
\(485\) | −18.3534 | + | 30.3664i | −0.833386 | + | 1.37887i | ||||
\(486\) | 12.7759 | − | 31.7258i | 0.579525 | − | 1.43911i | ||||
\(487\) | −10.3556 | − | 20.3239i | −0.469255 | − | 0.920965i | −0.997417 | − | 0.0718217i | \(-0.977119\pi\) |
0.528162 | − | 0.849143i | \(-0.322881\pi\) | |||||||
\(488\) | −11.3706 | − | 22.3161i | −0.514723 | − | 1.01020i | ||||
\(489\) | 13.4038 | + | 1.88066i | 0.606142 | + | 0.0850462i | ||||
\(490\) | 3.20901 | + | 3.71095i | 0.144968 | + | 0.167644i | ||||
\(491\) | −30.8701 | − | 10.0303i | −1.39315 | − | 0.452662i | −0.486180 | − | 0.873859i | \(-0.661610\pi\) |
−0.906969 | + | 0.421197i | \(0.861610\pi\) | |||||||
\(492\) | −8.33304 | + | 27.2785i | −0.375683 | + | 1.22981i | ||||
\(493\) | 24.3255 | + | 24.3255i | 1.09556 | + | 1.09556i | ||||
\(494\) | 0.818854 | + | 0.594933i | 0.0368420 | + | 0.0267673i | ||||
\(495\) | 6.30023 | + | 22.1501i | 0.283174 | + | 0.995572i | ||||
\(496\) | 2.26223 | − | 1.64361i | 0.101577 | − | 0.0738002i | ||||
\(497\) | −9.85702 | − | 1.56120i | −0.442148 | − | 0.0700293i | ||||
\(498\) | −39.2656 | + | 29.6028i | −1.75953 | + | 1.32653i | ||||
\(499\) | − | 18.3294i | − | 0.820535i | −0.911965 | − | 0.410267i | \(-0.865435\pi\) | ||
0.911965 | − | 0.410267i | \(-0.134565\pi\) | |||||||
\(500\) | 15.9411 | − | 27.1210i | 0.712909 | − | 1.21289i | ||||
\(501\) | 4.70435 | − | 9.65094i | 0.210175 | − | 0.431172i | ||||
\(502\) | −18.1614 | − | 9.25367i | −0.810581 | − | 0.413012i | ||||
\(503\) | −1.80628 | + | 11.4044i | −0.0805380 | + | 0.508497i | 0.914135 | + | 0.405411i | \(0.132872\pi\) |
−0.994672 | + | 0.103086i | \(0.967128\pi\) | |||||||
\(504\) | 5.14956 | + | 1.47406i | 0.229379 | + | 0.0656599i | ||||
\(505\) | −9.86617 | + | 24.2384i | −0.439039 | + | 1.07859i | ||||
\(506\) | 41.6895 | − | 57.3807i | 1.85332 | − | 2.55088i | ||||
\(507\) | −21.1508 | + | 7.28821i | −0.939340 | + | 0.323681i | ||||
\(508\) | −0.533150 | − | 3.36618i | −0.0236547 | − | 0.149350i | ||||
\(509\) | −11.6023 | + | 35.7081i | −0.514262 | + | 1.58274i | 0.270359 | + | 0.962760i | \(0.412858\pi\) |
−0.784621 | + | 0.619976i | \(0.787142\pi\) | |||||||
\(510\) | −12.7521 | − | 48.0460i | −0.564673 | − | 2.12751i | ||||
\(511\) | −2.77427 | − | 8.53832i | −0.122726 | − | 0.377713i | ||||
\(512\) | 16.6004 | − | 8.45834i | 0.733642 | − | 0.373809i | ||||
\(513\) | −5.21139 | − | 6.42650i | −0.230088 | − | 0.283737i | ||||
\(514\) | −3.29610 | + | 1.07097i | −0.145385 | + | 0.0472384i | ||||
\(515\) | −11.7382 | − | 7.09453i | −0.517246 | − | 0.312622i | ||||
\(516\) | 12.6178 | − | 13.0721i | 0.555466 | − | 0.575465i | ||||
\(517\) | −32.2206 | + | 5.10324i | −1.41706 | + | 0.224440i | ||||
\(518\) | −2.71614 | + | 2.71614i | −0.119340 | + | 0.119340i | ||||
\(519\) | 17.5033 | + | 32.9008i | 0.768311 | + | 1.44419i | ||||
\(520\) | −1.12303 | + | 0.276910i | −0.0492483 | + | 0.0121433i | ||||
\(521\) | 18.9405 | + | 26.0694i | 0.829798 | + | 1.14212i | 0.987961 | + | 0.154706i | \(0.0494430\pi\) |
−0.158163 | + | 0.987413i | \(0.550557\pi\) | |||||||
\(522\) | −33.8454 | + | 18.7810i | −1.48137 | + | 0.822024i | ||||
\(523\) | 5.45598 | − | 10.7080i | 0.238573 | − | 0.468227i | −0.740413 | − | 0.672152i | \(-0.765370\pi\) |
0.978986 | + | 0.203926i | \(0.0653700\pi\) | |||||||
\(524\) | −39.1383 | −1.70977 | ||||||||
\(525\) | 7.15556 | + | 4.87831i | 0.312294 | + | 0.212907i | ||||
\(526\) | −27.7221 | −1.20874 | ||||||||
\(527\) | −4.34239 | + | 8.52242i | −0.189158 | + | 0.371243i | ||||
\(528\) | 5.83069 | − | 8.33115i | 0.253748 | − | 0.362567i | ||||
\(529\) | 38.6033 | + | 53.1329i | 1.67840 | + | 2.31012i | ||||
\(530\) | 15.2562 | + | 24.5567i | 0.662689 | + | 1.06667i | ||||
\(531\) | 13.4096 | − | 0.474417i | 0.581928 | − | 0.0205880i | ||||
\(532\) | 3.16816 | − | 3.16816i | 0.137357 | − | 0.137357i | ||||
\(533\) | 1.67470 | − | 0.265246i | 0.0725393 | − | 0.0114891i | ||||
\(534\) | −5.08216 | − | 4.90554i | −0.219927 | − | 0.212284i | ||||
\(535\) | 7.05271 | + | 16.7358i | 0.304915 | + | 0.723550i | ||||
\(536\) | 0.428251 | − | 0.139147i | 0.0184976 | − | 0.00601025i | ||||
\(537\) | 11.9872 | − | 0.211981i | 0.517286 | − | 0.00914764i | ||||
\(538\) | 11.8634 | − | 6.04471i | 0.511468 | − | 0.260606i | ||||
\(539\) | −1.06083 | − | 3.26489i | −0.0456931 | − | 0.140629i | ||||
\(540\) | 32.6870 | + | 0.632964i | 1.40663 | + | 0.0272384i | ||||
\(541\) | −0.392175 | + | 1.20699i | −0.0168609 | + | 0.0518926i | −0.959133 | − | 0.282956i | \(-0.908685\pi\) |
0.942272 | + | 0.334848i | \(0.108685\pi\) | |||||||
\(542\) | 1.62816 | + | 10.2798i | 0.0699355 | + | 0.441555i | ||||
\(543\) | 4.54278 | + | 13.1834i | 0.194950 | + | 0.565754i | ||||
\(544\) | −25.1807 | + | 34.6582i | −1.07961 | + | 1.48596i | ||||
\(545\) | 33.5836 | + | 28.3288i | 1.43856 | + | 1.21347i | ||||
\(546\) | −0.191431 | − | 1.08421i | −0.00819247 | − | 0.0463997i | ||||
\(547\) | 1.16261 | − | 7.34043i | 0.0497096 | − | 0.313854i | −0.950287 | − | 0.311374i | \(-0.899211\pi\) |
0.999997 | − | 0.00247980i | \(-0.000789345\pi\) | |||||||
\(548\) | −17.0384 | − | 8.68147i | −0.727842 | − | 0.370854i | ||||
\(549\) | 33.1501 | − | 25.9241i | 1.41481 | − | 1.10641i | ||||
\(550\) | −30.1935 | + | 22.5077i | −1.28745 | + | 0.959731i | ||||
\(551\) | 9.36392i | 0.398916i | ||||||||
\(552\) | −17.5311 | − | 23.2534i | −0.746171 | − | 0.989731i | ||||
\(553\) | −3.80090 | − | 0.602003i | −0.161631 | − | 0.0255998i | ||||
\(554\) | 6.41967 | − | 4.66416i | 0.272745 | − | 0.198161i | ||||
\(555\) | −3.40419 | + | 5.86415i | −0.144500 | + | 0.248919i | ||||
\(556\) | 15.6344 | + | 11.3591i | 0.663046 | + | 0.481731i | ||||
\(557\) | −30.4138 | − | 30.4138i | −1.28867 | − | 1.28867i | −0.935593 | − | 0.353080i | \(-0.885134\pi\) |
−0.353080 | − | 0.935593i | \(-0.614866\pi\) | |||||||
\(558\) | −7.87424 | − | 7.33612i | −0.333343 | − | 0.310563i | ||||
\(559\) | −1.02717 | − | 0.333749i | −0.0434448 | − | 0.0141161i | ||||
\(560\) | −0.323408 | − | 3.81043i | −0.0136665 | − | 0.161020i | ||||
\(561\) | −4.83305 | + | 34.4461i | −0.204051 | + | 1.45432i | ||||
\(562\) | 24.6905 | + | 48.4578i | 1.04151 | + | 2.04407i | ||||
\(563\) | −0.623248 | − | 1.22319i | −0.0262668 | − | 0.0515514i | 0.877500 | − | 0.479576i | \(-0.159210\pi\) |
−0.903767 | + | 0.428025i | \(0.859210\pi\) | |||||||
\(564\) | −6.43502 | + | 45.8637i | −0.270963 | + | 1.93121i | ||||
\(565\) | −1.53480 | − | 18.0832i | −0.0645697 | − | 0.760767i | ||||
\(566\) | −32.4055 | − | 10.5292i | −1.36211 | − | 0.442575i | ||||
\(567\) | −0.776197 | + | 8.96647i | −0.0325972 | + | 0.376556i | ||||
\(568\) | −12.5997 | − | 12.5997i | −0.528672 | − | 0.528672i | ||||
\(569\) | 31.3282 | + | 22.7613i | 1.31335 | + | 0.954202i | 0.999990 | + | 0.00456712i | \(0.00145376\pi\) |
0.313357 | + | 0.949635i | \(0.398546\pi\) | |||||||
\(570\) | 6.79306 | − | 11.7019i | 0.284530 | − | 0.490138i | ||||
\(571\) | 8.15037 | − | 5.92159i | 0.341083 | − | 0.247811i | −0.404036 | − | 0.914743i | \(-0.632393\pi\) |
0.745118 | + | 0.666932i | \(0.232393\pi\) | |||||||
\(572\) | 2.76405 | + | 0.437783i | 0.115571 | + | 0.0183046i | ||||
\(573\) | −6.66255 | − | 8.83730i | −0.278332 | − | 0.369184i | ||||
\(574\) | − | 12.8406i | − | 0.535957i | ||||||
\(575\) | −15.0978 | − | 44.5977i | −0.629621 | − | 1.85985i | ||||
\(576\) | −23.3722 | − | 29.8869i | −0.973842 | − | 1.24529i | ||||
\(577\) | −16.1284 | − | 8.21783i | −0.671434 | − | 0.342113i | 0.0848147 | − | 0.996397i | \(-0.472970\pi\) |
−0.756249 | + | 0.654284i | \(0.772970\pi\) | |||||||
\(578\) | 5.91085 | − | 37.3197i | 0.245859 | − | 1.55229i | ||||
\(579\) | −7.73215 | − | 43.7926i | −0.321337 | − | 1.81996i | ||||
\(580\) | −28.2818 | − | 23.8566i | −1.17434 | − | 0.990590i | ||||
\(581\) | 7.60594 | − | 10.4687i | 0.315548 | − | 0.434314i | ||||
\(582\) | −19.6452 | − | 57.0115i | −0.814320 | − | 2.36320i | ||||
\(583\) | −3.16456 | − | 19.9802i | −0.131063 | − | 0.827497i | ||||
\(584\) | 4.95334 | − | 15.2448i | 0.204971 | − | 0.630835i | ||||
\(585\) | −0.817584 | − | 1.76314i | −0.0338029 | − | 0.0728970i | ||||
\(586\) | 6.63419 | + | 20.4179i | 0.274056 | + | 0.843457i | ||||
\(587\) | −20.1550 | + | 10.2695i | −0.831885 | + | 0.423867i | −0.817429 | − | 0.576029i | \(-0.804602\pi\) |
−0.0144556 | + | 0.999896i | \(0.504602\pi\) | |||||||
\(588\) | −4.87285 | + | 0.0861709i | −0.200953 | + | 0.00355363i | ||||
\(589\) | −2.47611 | + | 0.804537i | −0.102026 | + | 0.0331504i | ||||
\(590\) | 8.52135 | + | 20.2208i | 0.350819 | + | 0.832476i | ||||
\(591\) | −23.7582 | − | 22.9325i | −0.977282 | − | 0.943318i | ||||
\(592\) | 2.95727 | − | 0.468386i | 0.121543 | − | 0.0192505i | ||||
\(593\) | −14.2175 | + | 14.2175i | −0.583842 | + | 0.583842i | −0.935957 | − | 0.352115i | \(-0.885463\pi\) |
0.352115 | + | 0.935957i | \(0.385463\pi\) | |||||||
\(594\) | −35.7643 | − | 15.8939i | −1.46743 | − | 0.652135i | ||||
\(595\) | 6.90298 | + | 11.1111i | 0.282994 | + | 0.455512i | ||||
\(596\) | −6.72112 | − | 9.25083i | −0.275308 | − | 0.378929i | ||||
\(597\) | 17.8222 | − | 25.4652i | 0.729415 | − | 1.04222i | ||||
\(598\) | −2.71748 | + | 5.33336i | −0.111126 | + | 0.218097i | ||||
\(599\) | 2.44647 | 0.0999602 | 0.0499801 | − | 0.998750i | \(-0.484084\pi\) | ||||
0.0499801 | + | 0.998750i | \(0.484084\pi\) | |||||||
\(600\) | 5.21635 | + | 14.5561i | 0.212956 | + | 0.594250i | ||||
\(601\) | −13.9025 | −0.567094 | −0.283547 | − | 0.958958i | \(-0.591511\pi\) | ||||
−0.283547 | + | 0.958958i | \(0.591511\pi\) | |||||||
\(602\) | −3.71324 | + | 7.28765i | −0.151340 | + | 0.297022i | ||||
\(603\) | 0.367108 | + | 0.661566i | 0.0149498 | + | 0.0269410i | ||||
\(604\) | −16.6419 | − | 22.9055i | −0.677147 | − | 0.932014i | ||||
\(605\) | 1.70397 | − | 0.420154i | 0.0692762 | − | 0.0170817i | ||||
\(606\) | −20.8886 | − | 39.2641i | −0.848541 | − | 1.59499i | ||||
\(607\) | 9.19847 | − | 9.19847i | 0.373354 | − | 0.373354i | −0.495343 | − | 0.868697i | \(-0.664958\pi\) |
0.868697 | + | 0.495343i | \(0.164958\pi\) | |||||||
\(608\) | −11.5173 | + | 1.82416i | −0.467088 | + | 0.0739794i | ||||
\(609\) | 7.07383 | − | 7.32852i | 0.286646 | − | 0.296967i | ||||
\(610\) | 58.8981 | + | 35.5979i | 2.38471 | + | 1.44132i | ||||
\(611\) | 2.61838 | − | 0.850762i | 0.105928 | − | 0.0344181i | ||||
\(612\) | 44.7641 | + | 20.8489i | 1.80948 | + | 0.842768i | ||||
\(613\) | −29.8617 | + | 15.2153i | −1.20610 | + | 0.614541i | −0.937256 | − | 0.348642i | \(-0.886643\pi\) |
−0.268848 | + | 0.963182i | \(0.586643\pi\) | |||||||
\(614\) | 13.6104 | + | 41.8885i | 0.549271 | + | 1.69048i | ||||
\(615\) | −5.81475 | − | 21.9082i | −0.234473 | − | 0.883423i | ||||
\(616\) | 1.89406 | − | 5.82933i | 0.0763140 | − | 0.234870i | ||||
\(617\) | 4.86575 | + | 30.7211i | 0.195888 | + | 1.23679i | 0.868086 | + | 0.496415i | \(0.165350\pi\) |
−0.672198 | + | 0.740372i | \(0.734650\pi\) | |||||||
\(618\) | 22.0378 | − | 7.59387i | 0.886492 | − | 0.305470i | ||||
\(619\) | 17.6315 | − | 24.2677i | 0.708671 | − | 0.975401i | −0.291154 | − | 0.956676i | \(-0.594039\pi\) |
0.999825 | − | 0.0187253i | \(-0.00596078\pi\) | |||||||
\(620\) | 3.87848 | − | 9.52831i | 0.155763 | − | 0.382666i | ||||
\(621\) | 32.7163 | − | 36.3853i | 1.31286 | − | 1.46009i | ||||
\(622\) | 2.89737 | − | 18.2933i | 0.116174 | − | 0.733493i | ||||
\(623\) | 1.65614 | + | 0.843843i | 0.0663517 | + | 0.0338079i | ||||
\(624\) | −0.376029 | + | 0.771421i | −0.0150532 | + | 0.0308815i | ||||
\(625\) | 0.613110 | + | 24.9925i | 0.0245244 | + | 0.999699i | ||||
\(626\) | − | 44.5516i | − | 1.78064i | ||||||
\(627\) | −7.56011 | + | 5.69967i | −0.301922 | + | 0.227623i | ||||
\(628\) | 16.3584 | + | 2.59092i | 0.652773 | + | 0.103389i | ||||
\(629\) | −8.28575 | + | 6.01995i | −0.330374 | + | 0.240031i | ||||
\(630\) | −14.1565 | + | 4.02659i | −0.564009 | + | 0.160423i | ||||
\(631\) | 8.69328 | + | 6.31604i | 0.346074 | + | 0.251438i | 0.747220 | − | 0.664576i | \(-0.231388\pi\) |
−0.401146 | + | 0.916014i | \(0.631388\pi\) | |||||||
\(632\) | −4.85849 | − | 4.85849i | −0.193260 | − | 0.193260i | ||||
\(633\) | 9.82822 | − | 32.1730i | 0.390636 | − | 1.27876i | ||||
\(634\) | 4.76388 | + | 1.54788i | 0.189198 | + | 0.0614741i | ||||
\(635\) | 1.77156 | + | 2.04865i | 0.0703021 | + | 0.0812984i | ||||
\(636\) | −28.4404 | − | 3.99041i | −1.12774 | − | 0.158230i | ||||
\(637\) | 0.131529 | + | 0.258140i | 0.00521136 | + | 0.0102279i | ||||
\(638\) | 20.1084 | + | 39.4650i | 0.796100 | + | 1.56243i | ||||
\(639\) | 16.7307 | − | 24.8288i | 0.661856 | − | 0.982211i | ||||
\(640\) | 15.1533 | − | 25.0718i | 0.598988 | − | 0.991049i | ||||
\(641\) | 27.6052 | + | 8.96946i | 1.09034 | + | 0.354272i | 0.798377 | − | 0.602158i | \(-0.205692\pi\) |
0.291961 | + | 0.956430i | \(0.405692\pi\) | |||||||
\(642\) | −29.5181 | − | 9.01720i | −1.16499 | − | 0.355880i | ||||
\(643\) | 20.4821 | + | 20.4821i | 0.807736 | + | 0.807736i | 0.984291 | − | 0.176555i | \(-0.0564953\pi\) |
−0.176555 | + | 0.984291i | \(0.556495\pi\) | |||||||
\(644\) | 21.4363 | + | 15.5744i | 0.844710 | + | 0.613717i | ||||
\(645\) | −3.03525 | + | 14.1154i | −0.119513 | + | 0.555794i | ||||
\(646\) | 16.5342 | − | 12.0128i | 0.650529 | − | 0.472637i | ||||
\(647\) | −23.0242 | − | 3.64667i | −0.905174 | − | 0.143365i | −0.313542 | − | 0.949574i | \(-0.601516\pi\) |
−0.591631 | + | 0.806209i | \(0.701516\pi\) | |||||||
\(648\) | −10.5312 | + | 12.1372i | −0.413705 | + | 0.476793i | ||||
\(649\) | − | 15.3543i | − | 0.602708i | ||||||
\(650\) | 2.21963 | − | 2.27475i | 0.0870610 | − | 0.0892230i | ||||
\(651\) | 2.54566 | + | 1.24088i | 0.0997724 | + | 0.0486340i | ||||
\(652\) | −19.5917 | − | 9.98247i | −0.767270 | − | 0.390944i | ||||
\(653\) | 2.41707 | − | 15.2608i | 0.0945874 | − | 0.597201i | −0.894176 | − | 0.447715i | \(-0.852238\pi\) |
0.988764 | − | 0.149487i | \(-0.0477621\pi\) | |||||||
\(654\) | −73.5317 | + | 12.9830i | −2.87532 | + | 0.507674i | ||||
\(655\) | 26.4192 | − | 16.4134i | 1.03228 | − | 0.641324i | ||||
\(656\) | −5.88314 | + | 8.09745i | −0.229698 | + | 0.316152i | ||||
\(657\) | 26.7339 | + | 3.27010i | 1.04299 | + | 0.127579i | ||||
\(658\) | −3.26157 | − | 20.5928i | −0.127149 | − | 0.802789i | ||||
\(659\) | −11.6974 | + | 36.0010i | −0.455668 | + | 1.40240i | 0.414682 | + | 0.909966i | \(0.363893\pi\) |
−0.870350 | + | 0.492434i | \(0.836107\pi\) | |||||||
\(660\) | 2.04633 | − | 37.3549i | 0.0796532 | − | 1.45404i | ||||
\(661\) | 2.76411 | + | 8.50706i | 0.107512 | + | 0.330886i | 0.990312 | − | 0.138862i | \(-0.0443445\pi\) |
−0.882800 | + | 0.469749i | \(0.844345\pi\) | |||||||
\(662\) | 51.0711 | − | 26.0220i | 1.98494 | − | 1.01138i | ||||
\(663\) | −0.0519033 | − | 2.93506i | −0.00201576 | − | 0.113988i | ||||
\(664\) | 21.9731 | − | 7.13948i | 0.852720 | − | 0.277066i | ||||
\(665\) | −0.809949 | + | 3.46720i | −0.0314085 | + | 0.134452i | ||||
\(666\) | −3.94626 | − | 10.8268i | −0.152914 | − | 0.419531i | ||||
\(667\) | −54.6951 | + | 8.66285i | −2.11780 | + | 0.335427i | ||||
\(668\) | −12.3332 | + | 12.3332i | −0.477185 | + | 0.477185i | ||||
\(669\) | −38.5788 | + | 20.5240i | −1.49154 | + | 0.793505i | ||||
\(670\) | −0.797770 | + | 0.945750i | −0.0308205 | + | 0.0365375i | ||||
\(671\) | −28.3053 | − | 38.9589i | −1.09271 | − | 1.50399i | ||||
\(672\) | 10.3919 | + | 7.27292i | 0.400875 | + | 0.280559i | ||||
\(673\) | −6.97563 | + | 13.6905i | −0.268891 | + | 0.527728i | −0.985485 | − | 0.169762i | \(-0.945700\pi\) |
0.716594 | + | 0.697490i | \(0.245700\pi\) | |||||||
\(674\) | −3.82514 | −0.147339 | ||||||||
\(675\) | −22.3299 | + | 13.2807i | −0.859478 | + | 0.511173i | ||||
\(676\) | 36.3430 | 1.39781 | ||||||||
\(677\) | 4.80926 | − | 9.43871i | 0.184835 | − | 0.362759i | −0.779932 | − | 0.625864i | \(-0.784746\pi\) |
0.964767 | + | 0.263105i | \(0.0847465\pi\) | |||||||
\(678\) | 25.2690 | + | 17.6849i | 0.970448 | + | 0.679184i | ||||
\(679\) | 9.32698 | + | 12.8375i | 0.357937 | + | 0.492658i | ||||
\(680\) | −1.68964 | + | 23.2941i | −0.0647946 | + | 0.893288i | ||||
\(681\) | 7.82797 | − | 4.16450i | 0.299968 | − | 0.159584i | ||||
\(682\) | −8.70807 | + | 8.70807i | −0.333449 | + | 0.333449i | ||||
\(683\) | −3.96188 | + | 0.627499i | −0.151597 | + | 0.0240106i | −0.231772 | − | 0.972770i | \(-0.574452\pi\) |
0.0801747 | + | 0.996781i | \(0.474452\pi\) | |||||||
\(684\) | 4.60299 | + | 12.6286i | 0.176000 | + | 0.482868i | ||||
\(685\) | 15.1420 | − | 1.28517i | 0.578546 | − | 0.0491038i | ||||
\(686\) | 2.08665 | − | 0.677993i | 0.0796686 | − | 0.0258859i | ||||
\(687\) | −0.165075 | − | 9.33479i | −0.00629802 | − | 0.356144i | ||||
\(688\) | 5.68057 | − | 2.89440i | 0.216570 | − | 0.110348i | ||||
\(689\) | 0.527564 | + | 1.62367i | 0.0200986 | + | 0.0618571i | ||||
\(690\) | 74.6358 | + | 28.8528i | 2.84134 | + | 1.09841i | ||||
\(691\) | −8.22688 | + | 25.3197i | −0.312965 | + | 0.963208i | 0.663619 | + | 0.748071i | \(0.269020\pi\) |
−0.976584 | + | 0.215137i | \(0.930980\pi\) | |||||||
\(692\) | −9.47080 | − | 59.7963i | −0.360026 | − | 2.27311i | ||||
\(693\) | 10.2225 | + | 1.25042i | 0.388322 | + | 0.0474996i | ||||
\(694\) | −4.64675 | + | 6.39570i | −0.176388 | + | 0.242777i | ||||
\(695\) | −15.3172 | − | 1.11103i | −0.581014 | − | 0.0421438i | ||||
\(696\) | 17.9090 | − | 3.16206i | 0.678837 | − | 0.119857i | ||||
\(697\) | 5.35582 | − | 33.8153i | 0.202866 | − | 1.28085i | ||||
\(698\) | −13.9464 | − | 7.10605i | −0.527879 | − | 0.268968i | ||||
\(699\) | 9.49274 | + | 4.62723i | 0.359048 | + | 0.175018i | ||||
\(700\) | −8.40845 | − | 11.2797i | −0.317809 | − | 0.426333i | ||||
\(701\) | 33.3805i | 1.26076i | 0.776285 | + | 0.630382i | \(0.217102\pi\) | ||||
−0.776285 | + | 0.630382i | \(0.782898\pi\) | |||||||
\(702\) | 3.19097 | + | 0.852671i | 0.120435 | + | 0.0321820i | ||||
\(703\) | −2.75344 | − | 0.436102i | −0.103848 | − | 0.0164479i | ||||
\(704\) | −35.1239 | + | 25.5190i | −1.32378 | + | 0.961783i | ||||
\(705\) | −14.8900 | − | 33.6576i | −0.560790 | − | 1.26762i | ||||
\(706\) | 29.0239 | + | 21.0871i | 1.09233 | + | 0.793622i | ||||
\(707\) | 8.27550 | + | 8.27550i | 0.311232 | + | 0.311232i | ||||
\(708\) | −20.8470 | − | 6.36837i | −0.783480 | − | 0.239338i | ||||
\(709\) | 3.32106 | + | 1.07908i | 0.124725 | + | 0.0405257i | 0.370715 | − | 0.928747i | \(-0.379113\pi\) |
−0.245989 | + | 0.969273i | \(0.579113\pi\) | |||||||
\(710\) | 47.6778 | + | 11.1377i | 1.78932 | + | 0.417989i | ||||
\(711\) | 6.45141 | − | 9.57405i | 0.241947 | − | 0.359055i | ||||
\(712\) | 1.50665 | + | 2.95696i | 0.0564640 | + | 0.110817i | ||||
\(713\) | −6.99006 | − | 13.7188i | −0.261780 | − | 0.513772i | ||||
\(714\) | −22.0151 | − | 3.08889i | −0.823895 | − | 0.115599i | ||||
\(715\) | −2.04939 | + | 0.863644i | −0.0766428 | + | 0.0322985i | ||||
\(716\) | −18.5234 | − | 6.01863i | −0.692254 | − | 0.224927i | ||||
\(717\) | 12.5042 | − | 40.9329i | 0.466978 | − | 1.52867i | ||||
\(718\) | −4.91483 | − | 4.91483i | −0.183420 | − | 0.183420i | ||||
\(719\) | 35.8703 | + | 26.0613i | 1.33773 | + | 0.971921i | 0.999524 | + | 0.0308507i | \(0.00982163\pi\) |
0.338211 | + | 0.941070i | \(0.390178\pi\) | |||||||
\(720\) | 10.7721 | + | 3.94682i | 0.401453 | + | 0.147089i | ||||
\(721\) | −4.96235 | + | 3.60535i | −0.184807 | + | 0.134270i | ||||
\(722\) | −35.6789 | − | 5.65098i | −1.32783 | − | 0.210308i | ||||
\(723\) | −25.2680 | + | 19.0498i | −0.939726 | + | 0.708471i | ||||
\(724\) | − | 22.6528i | − | 0.841883i | ||||||
\(725\) | 29.0955 | + | 4.24321i | 1.08058 | + | 0.157589i | ||||
\(726\) | −1.30688 | + | 2.68105i | −0.0485028 | + | 0.0995033i | ||||
\(727\) | −10.5658 | − | 5.38356i | −0.391865 | − | 0.199665i | 0.246945 | − | 0.969029i | \(-0.420573\pi\) |
−0.638810 | + | 0.769364i | \(0.720573\pi\) | |||||||
\(728\) | −0.0809201 | + | 0.510910i | −0.00299910 | + | 0.0189356i | ||||
\(729\) | −23.4012 | − | 13.4679i | −0.866711 | − | 0.498811i | ||||
\(730\) | 10.5445 | + | 42.7640i | 0.390268 | + | 1.58276i | ||||
\(731\) | −12.8184 | + | 17.6430i | −0.474104 | + | 0.652549i | ||||
\(732\) | −64.6358 | + | 22.2724i | −2.38901 | + | 0.823213i | ||||
\(733\) | 5.95386 | + | 37.5912i | 0.219911 | + | 1.38846i | 0.812502 | + | 0.582958i | \(0.198105\pi\) |
−0.592591 | + | 0.805503i | \(0.701895\pi\) | |||||||
\(734\) | −8.75646 | + | 26.9496i | −0.323207 | + | 0.994728i | ||||
\(735\) | 3.25314 | − | 2.10169i | 0.119994 | − | 0.0775219i | ||||
\(736\) | −21.3100 | − | 65.5854i | −0.785497 | − | 2.41751i | ||||
\(737\) | 0.771411 | − | 0.393053i | 0.0284153 | − | 0.0144783i | ||||
\(738\) | 34.9201 | + | 16.2641i | 1.28543 | + | 0.598688i | ||||
\(739\) | −6.89550 | + | 2.24048i | −0.253655 | + | 0.0824176i | −0.433085 | − | 0.901353i | \(-0.642575\pi\) |
0.179429 | + | 0.983771i | \(0.442575\pi\) | |||||||
\(740\) | 8.33212 | − | 7.20513i | 0.306295 | − | 0.264866i | ||||
\(741\) | 0.554926 | − | 0.574906i | 0.0203857 | − | 0.0211197i | ||||
\(742\) | 12.7697 | − | 2.02253i | 0.468791 | − | 0.0742493i | ||||
\(743\) | 5.26609 | − | 5.26609i | 0.193194 | − | 0.193194i | −0.603881 | − | 0.797075i | \(-0.706380\pi\) |
0.797075 | + | 0.603881i | \(0.206380\pi\) | |||||||
\(744\) | 2.37486 | + | 4.46400i | 0.0870667 | + | 0.163658i | ||||
\(745\) | 8.41641 | + | 3.42588i | 0.308353 | + | 0.125515i | ||||
\(746\) | 0.309293 | + | 0.425706i | 0.0113240 | + | 0.0155862i | ||||
\(747\) | 18.8358 | + | 33.9441i | 0.689168 | + | 1.24195i | ||||
\(748\) | 25.6537 | − | 50.3482i | 0.937991 | − | 1.84091i | ||||
\(749\) | 8.12190 | 0.296768 | ||||||||
\(750\) | −33.2818 | − | 26.4100i | −1.21528 | − | 0.964357i | ||||
\(751\) | −27.1755 | −0.991649 | −0.495824 | − | 0.868423i | \(-0.665134\pi\) | ||||
−0.495824 | + | 0.868423i | \(0.665134\pi\) | |||||||
\(752\) | −7.37812 | + | 14.4804i | −0.269052 | + | 0.528045i | ||||
\(753\) | −9.22644 | + | 13.1831i | −0.336230 | + | 0.480420i | ||||
\(754\) | −2.19716 | − | 3.02413i | −0.0800159 | − | 0.110132i | ||||
\(755\) | 20.8395 | + | 8.48267i | 0.758426 | + | 0.308716i | ||||
\(756\) | 5.93766 | − | 13.3609i | 0.215951 | − | 0.485930i | ||||
\(757\) | 2.96624 | − | 2.96624i | 0.107810 | − | 0.107810i | −0.651144 | − | 0.758954i | \(-0.725711\pi\) |
0.758954 | + | 0.651144i | \(0.225711\pi\) | |||||||
\(758\) | 23.8162 | − | 3.77211i | 0.865043 | − | 0.137009i | ||||
\(759\) | −40.2861 | − | 38.8861i | −1.46229 | − | 1.41147i | ||||
\(760\) | −4.80866 | + | 4.15824i | −0.174428 | + | 0.150835i | ||||
\(761\) | −28.6894 | + | 9.32174i | −1.03999 | + | 0.337913i | −0.778732 | − | 0.627356i | \(-0.784137\pi\) |
−0.261257 | + | 0.965269i | \(0.584137\pi\) | |||||||
\(762\) | −4.60217 | + | 0.0813843i | −0.166719 | + | 0.00294824i | ||||
\(763\) | 17.5072 | − | 8.92038i | 0.633804 | − | 0.322940i | ||||
\(764\) | 5.55594 | + | 17.0994i | 0.201007 | + | 0.618636i | ||||
\(765\) | −38.9601 | + | 4.69919i | −1.40861 | + | 0.169900i | ||||
\(766\) | −1.40357 | + | 4.31973i | −0.0507129 | + | 0.156078i | ||||
\(767\) | 0.202709 | + | 1.27986i | 0.00731941 | + | 0.0462129i | ||||
\(768\) | 1.94728 | + | 5.65110i | 0.0702663 | + | 0.203917i | ||||
\(769\) | −1.02482 | + | 1.41055i | −0.0369560 | + | 0.0508656i | −0.827095 | − | 0.562062i | \(-0.810008\pi\) |
0.790139 | + | 0.612928i | \(0.210008\pi\) | |||||||
\(770\) | 4.03200 | + | 16.3521i | 0.145303 | + | 0.589289i | ||||
\(771\) | 0.475713 | + | 2.69430i | 0.0171324 | + | 0.0970328i | ||||
\(772\) | −11.3013 | + | 71.3537i | −0.406743 | + | 2.56807i | ||||
\(773\) | 26.3287 | + | 13.4152i | 0.946979 | + | 0.482510i | 0.858072 | − | 0.513530i | \(-0.171662\pi\) |
0.0889075 | + | 0.996040i | \(0.471662\pi\) | |||||||
\(774\) | −15.1156 | − | 19.3288i | −0.543317 | − | 0.694759i | ||||
\(775\) | 1.37782 | + | 8.05832i | 0.0494926 | + | 0.289463i | ||||
\(776\) | 28.3317i | 1.01705i | ||||||||
\(777\) | 1.82549 | + | 2.42135i | 0.0654890 | + | 0.0868655i | ||||
\(778\) | 68.3798 | + | 10.8303i | 2.45153 | + | 0.388285i | ||||
\(779\) | 7.53932 | − | 5.47764i | 0.270124 | − | 0.196257i | ||||
\(780\) | 0.322593 | + | 3.14073i | 0.0115507 | + | 0.112456i | ||||
\(781\) | −27.7170 | − | 20.1375i | −0.991791 | − | 0.720578i | ||||
\(782\) | 85.4636 | + | 85.4636i | 3.05617 | + | 3.05617i | ||||
\(783\) | 10.9702 | + | 28.5197i | 0.392041 | + | 1.01921i | ||||
\(784\) | −1.62650 | − | 0.528482i | −0.0580893 | − | 0.0188744i | ||||
\(785\) | −12.1289 | + | 5.11129i | −0.432897 | + | 0.182430i | ||||
\(786\) | −7.34452 | + | 52.3459i | −0.261970 | + | 1.86712i | ||||
\(787\) | −7.16810 | − | 14.0682i | −0.255515 | − | 0.501477i | 0.727241 | − | 0.686382i | \(-0.240802\pi\) |
−0.982756 | + | 0.184905i | \(0.940802\pi\) | |||||||
\(788\) | 24.3534 | + | 47.7963i | 0.867554 | + | 1.70267i | ||||
\(789\) | −3.04083 | + | 21.6726i | −0.108256 | + | 0.771564i | ||||
\(790\) | 18.3847 | + | 4.29472i | 0.654098 | + | 0.152799i | ||||
\(791\) | −7.71891 | − | 2.50802i | −0.274453 | − | 0.0891751i | ||||
\(792\) | 13.4538 | + | 12.5344i | 0.478061 | + | 0.445391i | ||||
\(793\) | 2.87373 | + | 2.87373i | 0.102049 | + | 0.102049i | ||||
\(794\) | −36.4681 | − | 26.4956i | −1.29420 | − | 0.940293i | ||||
\(795\) | 20.8713 | − | 9.23341i | 0.740230 | − | 0.327475i | ||||
\(796\) | −40.8507 | + | 29.6798i | −1.44791 | + | 1.05197i | ||||
\(797\) | −29.7791 | − | 4.71654i | −1.05483 | − | 0.167068i | −0.395150 | − | 0.918616i | \(-0.629308\pi\) |
−0.659678 | + | 0.751548i | \(0.729308\pi\) | |||||||
\(798\) | −3.64276 | − | 4.83180i | −0.128952 | − | 0.171044i | ||||
\(799\) | − | 55.5907i | − | 1.96666i | ||||||
\(800\) | 0.449024 | + | 36.6130i | 0.0158754 | + | 1.29447i | ||||
\(801\) | −4.39251 | + | 3.43504i | −0.155202 | + | 0.121371i | ||||
\(802\) | −67.6011 | − | 34.4445i | −2.38708 | − | 1.21628i | ||||
\(803\) | 4.82126 | − | 30.4403i | 0.170139 | − | 1.07421i | ||||
\(804\) | −0.213711 | − | 1.21040i | −0.00753700 | − | 0.0426874i | ||||
\(805\) | −21.0014 | − | 1.52333i | −0.740202 | − | 0.0536905i | ||||
\(806\) | 0.610897 | − | 0.840827i | 0.0215179 | − | 0.0296169i | ||||
\(807\) | −3.42434 | − | 9.93762i | −0.120542 | − | 0.349821i | ||||
\(808\) | 3.26882 | + | 20.6385i | 0.114997 | + | 0.726062i | ||||
\(809\) | 3.71933 | − | 11.4469i | 0.130765 | − | 0.402452i | −0.864143 | − | 0.503247i | \(-0.832139\pi\) |
0.994907 | + | 0.100795i | \(0.0321386\pi\) | |||||||
\(810\) | 6.98047 | − | 43.5988i | 0.245269 | − | 1.53191i | ||||
\(811\) | 1.55547 | + | 4.78725i | 0.0546200 | + | 0.168103i | 0.974645 | − | 0.223756i | \(-0.0718320\pi\) |
−0.920025 | + | 0.391859i | \(0.871832\pi\) | |||||||
\(812\) | −14.7434 | + | 7.51212i | −0.517391 | + | 0.263624i | ||||
\(813\) | 8.21513 | − | 0.145276i | 0.288117 | − | 0.00509504i | ||||
\(814\) | −12.5411 | + | 4.07485i | −0.439565 | + | 0.142823i | ||||
\(815\) | 17.4112 | − | 1.47776i | 0.609886 | − | 0.0517637i | ||||
\(816\) | 12.4678 | + | 12.0345i | 0.436459 | + | 0.421291i | ||||
\(817\) | −5.86294 | + | 0.928598i | −0.205118 | + | 0.0324875i | ||||
\(818\) | −19.3735 | + | 19.3735i | −0.677378 | + | 0.677378i | ||||
\(819\) | −0.868608 | + | 0.0307304i | −0.0303516 | + | 0.00107381i | ||||
\(820\) | −2.66395 | + | 36.7264i | −0.0930290 | + | 1.28254i | ||||
\(821\) | 5.56906 | + | 7.66516i | 0.194362 | + | 0.267516i | 0.895064 | − | 0.445938i | \(-0.147130\pi\) |
−0.700702 | + | 0.713454i | \(0.747130\pi\) | |||||||
\(822\) | −14.8085 | + | 21.1590i | −0.516504 | + | 0.738004i | ||||
\(823\) | 20.2865 | − | 39.8146i | 0.707144 | − | 1.38785i | −0.205321 | − | 0.978695i | \(-0.565824\pi\) |
0.912465 | − | 0.409154i | \(-0.134176\pi\) | |||||||
\(824\) | −10.9516 | −0.381519 | ||||||||
\(825\) | 14.2841 | + | 26.0735i | 0.497310 | + | 0.907763i | ||||
\(826\) | 9.81319 | 0.341444 | ||||||||
\(827\) | −23.1432 | + | 45.4211i | −0.804769 | + | 1.57945i | 0.0102031 | + | 0.999948i | \(0.496752\pi\) |
−0.814972 | + | 0.579500i | \(0.803248\pi\) | |||||||
\(828\) | −69.5061 | + | 38.5694i | −2.41550 | + | 1.34038i | ||||
\(829\) | 3.56988 | + | 4.91352i | 0.123987 | + | 0.170653i | 0.866498 | − | 0.499180i | \(-0.166365\pi\) |
−0.742511 | + | 0.669834i | \(0.766365\pi\) | |||||||
\(830\) | −40.9326 | + | 48.5253i | −1.42079 | + | 1.68434i | ||||
\(831\) | −2.94217 | − | 5.53037i | −0.102063 | − | 0.191847i | ||||
\(832\) | 2.59085 | − | 2.59085i | 0.0898214 | − | 0.0898214i | ||||
\(833\) | 5.77790 | − | 0.915130i | 0.200193 | − | 0.0317074i | ||||
\(834\) | 18.1262 | − | 18.7788i | 0.627657 | − | 0.650256i | ||||
\(835\) | 3.15302 | − | 13.4973i | 0.109115 | − | 0.467094i | ||||
\(836\) | 14.6282 | − | 4.75298i | 0.505926 | − | 0.164385i | ||||
\(837\) | −6.59895 | + | 5.35123i | −0.228093 | + | 0.184965i | ||||
\(838\) | −64.2103 | + | 32.7168i | −2.21811 | + | 1.13018i | ||||
\(839\) | −0.231737 | − | 0.713214i | −0.00800046 | − | 0.0246229i | 0.946977 | − | 0.321303i | \(-0.104121\pi\) |
−0.954977 | + | 0.296680i | \(0.904121\pi\) | |||||||
\(840\) | 6.90470 | + | 0.378245i | 0.238235 | + | 0.0130507i | ||||
\(841\) | 1.72498 | − | 5.30893i | 0.0594819 | − | 0.183066i | ||||
\(842\) | 8.24179 | + | 52.0366i | 0.284031 | + | 1.79330i | ||||
\(843\) | 40.5916 | − | 13.9872i | 1.39805 | − | 0.481745i | ||||
\(844\) | −32.1227 | + | 44.2132i | −1.10571 | + | 1.52188i | ||||
\(845\) | −24.5323 | + | 15.2411i | −0.843936 | + | 0.524310i | ||||
\(846\) | 60.1332 | + | 17.2131i | 2.06742 | + | 0.591800i | ||||
\(847\) | 0.122779 | − | 0.775199i | 0.00421875 | − | 0.0266362i | ||||
\(848\) | −8.97940 | − | 4.57523i | −0.308354 | − | 0.157114i | ||||
\(849\) | −11.7861 | + | 24.1790i | −0.404496 | + | 0.829822i | ||||
\(850\) | −29.8337 | − | 56.8185i | −1.02329 | − | 1.94886i | ||||
\(851\) | − | 16.4864i | − | 0.565147i | ||||||
\(852\) | −38.8374 | + | 29.2800i | −1.33055 | + | 1.00312i | ||||
\(853\) | 26.4166 | + | 4.18399i | 0.904489 | + | 0.143257i | 0.591317 | − | 0.806439i | \(-0.298608\pi\) |
0.313172 | + | 0.949696i | \(0.398608\pi\) | |||||||
\(854\) | 24.8993 | − | 18.0904i | 0.852037 | − | 0.619041i | ||||
\(855\) | −8.40317 | − | 6.59425i | −0.287382 | − | 0.225519i | ||||
\(856\) | 11.7318 | + | 8.52366i | 0.400985 | + | 0.291333i | ||||
\(857\) | −6.16587 | − | 6.16587i | −0.210622 | − | 0.210622i | 0.593910 | − | 0.804532i | \(-0.297584\pi\) |
−0.804532 | + | 0.593910i | \(0.797584\pi\) | |||||||
\(858\) | 1.10421 | − | 3.61465i | 0.0376970 | − | 0.123402i | ||||
\(859\) | 28.2925 | + | 9.19280i | 0.965329 | + | 0.313654i | 0.748929 | − | 0.662651i | \(-0.230569\pi\) |
0.216400 | + | 0.976305i | \(0.430569\pi\) | |||||||
\(860\) | 12.1324 | − | 20.0736i | 0.413713 | − | 0.684504i | ||||
\(861\) | −10.0385 | − | 1.40848i | −0.342112 | − | 0.0480009i | ||||
\(862\) | −26.1064 | − | 51.2367i | −0.889187 | − | 1.74513i | ||||
\(863\) | −8.98237 | − | 17.6289i | −0.305764 | − | 0.600095i | 0.686084 | − | 0.727522i | \(-0.259328\pi\) |
−0.991848 | + | 0.127427i | \(0.959328\pi\) | |||||||
\(864\) | −32.9412 | + | 19.0487i | −1.12068 | + | 0.648051i | ||||
\(865\) | 31.4697 | + | 36.3920i | 1.07000 | + | 1.23737i | ||||
\(866\) | 73.5901 | + | 23.9109i | 2.50069 | + | 0.812525i | ||||
\(867\) | −28.5274 | − | 8.71456i | −0.968841 | − | 0.295962i | ||||
\(868\) | −3.25317 | − | 3.25317i | −0.110420 | − | 0.110420i | ||||
\(869\) | −10.6877 | − | 7.76510i | −0.362557 | − | 0.263413i | ||||
\(870\) | −37.2144 | + | 33.3489i | −1.26169 | + | 1.13063i | ||||
\(871\) | −0.0591118 | + | 0.0429473i | −0.00200293 | + | 0.00145521i | ||||
\(872\) | 34.6503 | + | 5.48806i | 1.17341 | + | 0.185849i | ||||
\(873\) | −46.7253 | + | 9.10466i | −1.58141 | + | 0.308146i | ||||
\(874\) | 32.8986i | 1.11281i | ||||||||
\(875\) | 10.4062 | + | 4.08781i | 0.351795 | + | 0.138193i | ||||
\(876\) | −39.3301 | − | 19.1715i | −1.32884 | − | 0.647744i | ||||
\(877\) | −24.2543 | − | 12.3582i | −0.819009 | − | 0.417306i | −0.00630330 | − | 0.999980i | \(-0.502006\pi\) |
−0.812706 | + | 0.582674i | \(0.802006\pi\) | |||||||
\(878\) | −6.97830 | + | 44.0593i | −0.235506 | + | 1.48693i | ||||
\(879\) | 16.6900 | − | 2.94684i | 0.562941 | − | 0.0993944i | ||||
\(880\) | 4.94936 | − | 12.1592i | 0.166843 | − | 0.409885i | ||||
\(881\) | 8.82145 | − | 12.1417i | 0.297202 | − | 0.409064i | −0.634135 | − | 0.773223i | \(-0.718644\pi\) |
0.931337 | + | 0.364159i | \(0.118644\pi\) | |||||||
\(882\) | −0.799167 | + | 6.53340i | −0.0269093 | + | 0.219991i | ||||
\(883\) | −2.20661 | − | 13.9320i | −0.0742583 | − | 0.468848i | −0.996594 | − | 0.0824598i | \(-0.973722\pi\) |
0.922336 | − | 0.386388i | \(-0.126278\pi\) | |||||||
\(884\) | −1.47366 | + | 4.53546i | −0.0495645 | + | 0.152544i | ||||
\(885\) | 16.7429 | − | 4.44381i | 0.562806 | − | 0.149377i | ||||
\(886\) | −11.5982 | − | 35.6956i | −0.389650 | − | 1.19922i | ||||
\(887\) | 31.5558 | − | 16.0785i | 1.05954 | − | 0.539863i | 0.164744 | − | 0.986336i | \(-0.447320\pi\) |
0.894797 | + | 0.446473i | \(0.147320\pi\) | |||||||
\(888\) | 0.0957292 | + | 5.41335i | 0.00321246 | + | 0.181660i | ||||
\(889\) | 1.15195 | − | 0.374291i | 0.0386351 | − | 0.0125533i | ||||
\(890\) | −7.80422 | − | 4.71685i | −0.261598 | − | 0.158109i | ||||
\(891\) | −16.3485 | + | 26.2164i | −0.547695 | + | 0.878283i | ||||
\(892\) | 70.1158 | − | 11.1053i | 2.34765 | − | 0.371831i | ||||
\(893\) | 10.6996 | − | 10.6996i | 0.358049 | − | 0.358049i | ||||
\(894\) | −13.6339 | + | 7.25325i | −0.455985 | + | 0.242585i | ||||
\(895\) | 15.0277 | − | 3.70544i | 0.502322 | − | 0.123859i | ||||
\(896\) | −7.70074 | − | 10.5992i | −0.257264 | − | 0.354093i | ||||
\(897\) | 3.87143 | + | 2.70949i | 0.129263 | + | 0.0904671i | ||||
\(898\) | 21.2088 | − | 41.6247i | 0.707748 | − | 1.38903i | ||||
\(899\) | 9.61519 | 0.320684 | ||||||||
\(900\) | 41.3254 | − | 8.57980i | 1.37751 | − | 0.285993i | ||||
\(901\) | 34.4722 | 1.14844 | ||||||||
\(902\) | 20.0122 | − | 39.2762i | 0.666333 | − | 1.30775i | ||||
\(903\) | 5.29003 | + | 3.70232i | 0.176041 | + | 0.123205i | ||||
\(904\) | −8.51762 | − | 11.7235i | −0.283292 | − | 0.389918i | ||||
\(905\) | 9.49986 | + | 15.2911i | 0.315786 | + | 0.508293i | ||||
\(906\) | −33.7582 | + | 17.9594i | −1.12154 | + | 0.596662i | ||||
\(907\) | −17.7589 | + | 17.7589i | −0.589676 | + | 0.589676i | −0.937544 | − | 0.347868i | \(-0.886906\pi\) |
0.347868 | + | 0.937544i | \(0.386906\pi\) | |||||||
\(908\) | −14.2271 | + | 2.25335i | −0.472143 | + | 0.0747801i | ||||
\(909\) | −32.9871 | + | 12.0234i | −1.09411 | + | 0.398791i | ||||
\(910\) | −0.551970 | − | 1.30980i | −0.0182976 | − | 0.0434194i | ||||
\(911\) | 41.6406 | − | 13.5298i | 1.37961 | − | 0.448263i | 0.477071 | − | 0.878865i | \(-0.341699\pi\) |
0.902542 | + | 0.430601i | \(0.141699\pi\) | |||||||
\(912\) | 0.0833970 | + | 4.71598i | 0.00276155 | + | 0.156162i | ||||
\(913\) | 39.5802 | − | 20.1671i | 1.30991 | − | 0.667434i | ||||
\(914\) | −22.1214 | − | 68.0827i | −0.731711 | − | 2.25197i | ||||
\(915\) | 34.2902 | − | 42.1406i | 1.13360 | − | 1.39313i | ||||
\(916\) | −4.68688 | + | 14.4247i | −0.154859 | + | 0.476607i | ||||
\(917\) | −2.17593 | − | 13.7383i | −0.0718555 | − | 0.453678i | ||||
\(918\) | 36.2848 | − | 55.9577i | 1.19758 | − | 1.84688i | ||||
\(919\) | −13.2290 | + | 18.2082i | −0.436386 | + | 0.600633i | −0.969404 | − | 0.245470i | \(-0.921058\pi\) |
0.533018 | + | 0.846104i | \(0.321058\pi\) | |||||||
\(920\) | −28.7371 | − | 24.2407i | −0.947435 | − | 0.799191i | ||||
\(921\) | 34.2405 | − | 6.04560i | 1.12826 | − | 0.199209i | ||||
\(922\) | 4.31999 | − | 27.2754i | 0.142271 | − | 0.898267i | ||||
\(923\) | 2.57621 | + | 1.31264i | 0.0847969 | + | 0.0432062i | ||||
\(924\) | −15.0391 | − | 7.33080i | −0.494750 | − | 0.241166i | ||||
\(925\) | −2.60276 | + | 8.35785i | −0.0855781 | + | 0.274804i | ||||
\(926\) | − | 61.9989i | − | 2.03741i | ||||||
\(927\) | −3.51941 | − | 18.0617i | −0.115593 | − | 0.593224i | ||||
\(928\) | 42.5348 | + | 6.73685i | 1.39627 | + | 0.221148i | ||||
\(929\) | 17.3893 | − | 12.6341i | 0.570524 | − | 0.414510i | −0.264771 | − | 0.964311i | \(-0.585297\pi\) |
0.835296 | + | 0.549801i | \(0.185297\pi\) | |||||||
\(930\) | −12.0159 | − | 6.97534i | −0.394017 | − | 0.228731i | ||||
\(931\) | 1.28822 | + | 0.935945i | 0.0422196 | + | 0.0306744i | ||||
\(932\) | −12.1310 | − | 12.1310i | −0.397365 | − | 0.397365i | ||||
\(933\) | −13.9835 | − | 4.27168i | −0.457799 | − | 0.139849i | ||||
\(934\) | 77.3289 | + | 25.1257i | 2.53028 | + | 0.822137i | ||||
\(935\) | 3.79766 | + | 44.7444i | 0.124197 | + | 1.46330i | ||||
\(936\) | −1.28693 | − | 0.867186i | −0.0420645 | − | 0.0283449i | ||||
\(937\) | 12.4450 | + | 24.4247i | 0.406560 | + | 0.797919i | 0.999976 | − | 0.00697746i | \(-0.00222101\pi\) |
−0.593416 | + | 0.804896i | \(0.702221\pi\) | |||||||
\(938\) | 0.251207 | + | 0.493022i | 0.00820221 | + | 0.0160977i | ||||
\(939\) | −34.8295 | − | 4.88684i | −1.13662 | − | 0.159476i | ||||
\(940\) | 5.05644 | + | 59.5755i | 0.164923 | + | 1.94314i | ||||
\(941\) | 25.8655 | + | 8.40421i | 0.843191 | + | 0.273969i | 0.698591 | − | 0.715521i | \(-0.253811\pi\) |
0.144600 | + | 0.989490i | \(0.453811\pi\) | |||||||
\(942\) | 6.53501 | − | 21.3925i | 0.212922 | − | 0.697007i | ||||
\(943\) | 38.9700 | + | 38.9700i | 1.26904 | + | 1.26904i | ||||
\(944\) | −6.18832 | − | 4.49607i | −0.201413 | − | 0.146335i | ||||
\(945\) | 1.59508 | + | 11.5089i | 0.0518880 | + | 0.374386i | ||||
\(946\) | −22.7157 | + | 16.5039i | −0.738552 | + | 0.536589i | ||||
\(947\) | −51.5425 | − | 8.16353i | −1.67491 | − | 0.265279i | −0.754517 | − | 0.656281i | \(-0.772129\pi\) |
−0.920390 | + | 0.391002i | \(0.872129\pi\) | |||||||
\(948\) | −14.9758 | + | 11.2905i | −0.486392 | + | 0.366697i | ||||
\(949\) | 2.60100i | 0.0844320i | ||||||||
\(950\) | 5.19380 | − | 16.6781i | 0.168509 | − | 0.541108i | ||||
\(951\) | 1.73265 | − | 3.55452i | 0.0561849 | − | 0.115263i | ||||
\(952\) | 9.30639 | + | 4.74184i | 0.301622 | + | 0.153684i | ||||
\(953\) | 2.49981 | − | 15.7832i | 0.0809768 | − | 0.511267i | −0.913545 | − | 0.406738i | \(-0.866666\pi\) |
0.994522 | − | 0.104530i | \(-0.0333337\pi\) | |||||||
\(954\) | −10.6740 | + | 37.2891i | −0.345584 | + | 1.20728i | ||||
\(955\) | −10.9213 | − | 9.21250i | −0.353406 | − | 0.298109i | ||||
\(956\) | −40.8690 | + | 56.2513i | −1.32180 | + | 1.81930i | ||||
\(957\) | 33.0586 | − | 11.3915i | 1.06863 | − | 0.368233i | ||||
\(958\) | −9.27130 | − | 58.5367i | −0.299542 | − | 1.89123i | ||||
\(959\) | 2.10010 | − | 6.46343i | 0.0678156 | − | 0.208715i | ||||
\(960\) | −37.9924 | − | 30.9147i | −1.22620 | − | 0.997769i | ||||
\(961\) | −8.75340 | − | 26.9402i | −0.282368 | − | 0.869039i | ||||
\(962\) | 0.991566 | − | 0.505228i | 0.0319694 | − | 0.0162892i | ||||
\(963\) | −10.2873 | + | 22.0875i | −0.331503 | + | 0.711761i | ||||
\(964\) | 48.8914 | − | 15.8858i | 1.57469 | − | 0.511646i | ||||
\(965\) | −22.2949 | − | 52.9047i | −0.717697 | − | 1.70306i | ||||
\(966\) | 24.8528 | − | 25.7476i | 0.799625 | − | 0.828415i | ||||
\(967\) | 7.70750 | − | 1.22075i | 0.247856 | − | 0.0392566i | −0.0312700 | − | 0.999511i | \(-0.509955\pi\) |
0.279126 | + | 0.960254i | \(0.409955\pi\) | |||||||
\(968\) | 0.990896 | − | 0.990896i | 0.0318486 | − | 0.0318486i | ||||
\(969\) | −7.57773 | − | 14.2438i | −0.243432 | − | 0.457576i | ||||
\(970\) | −41.0820 | − | 66.1262i | −1.31906 | − | 2.12318i | ||||
\(971\) | 7.74454 | + | 10.6595i | 0.248534 | + | 0.342078i | 0.914997 | − | 0.403460i | \(-0.132193\pi\) |
−0.666463 | + | 0.745538i | \(0.732193\pi\) | |||||||
\(972\) | 28.8142 | + | 33.0705i | 0.924217 | + | 1.06074i | ||||
\(973\) | −3.11803 | + | 6.11948i | −0.0999594 | + | 0.196181i | ||||
\(974\) | 50.0461 | 1.60358 | ||||||||
\(975\) | −1.53488 | − | 1.98478i | −0.0491556 | − | 0.0635637i | ||||
\(976\) | −23.9902 | −0.767909 | ||||||||
\(977\) | −14.8946 | + | 29.2324i | −0.476522 | + | 0.935227i | 0.520179 | + | 0.854058i | \(0.325865\pi\) |
−0.996700 | + | 0.0811691i | \(0.974135\pi\) | |||||||
\(978\) | −17.0276 | + | 24.3298i | −0.544484 | + | 0.777982i | ||||
\(979\) | 3.75056 | + | 5.16220i | 0.119868 | + | 0.164985i | ||||
\(980\) | −6.10884 | + | 1.50628i | −0.195140 | + | 0.0481163i | ||||
\(981\) | 2.08416 | + | 58.9096i | 0.0665420 | + | 1.88084i | ||||
\(982\) | 50.3570 | − | 50.3570i | 1.60696 | − | 1.60696i | ||||
\(983\) | −41.7917 | + | 6.61916i | −1.33295 | + | 0.211118i | −0.781926 | − | 0.623372i | \(-0.785762\pi\) |
−0.551023 | + | 0.834490i | \(0.685762\pi\) | |||||||
\(984\) | −13.0222 | − | 12.5696i | −0.415132 | − | 0.400704i | ||||
\(985\) | −36.4833 | − | 22.0504i | −1.16246 | − | 0.702586i | ||||
\(986\) | −71.7837 | + | 23.3239i | −2.28606 | + | 0.742785i | ||||
\(987\) | −16.4568 | + | 0.291019i | −0.523824 | + | 0.00926325i | ||||
\(988\) | −1.15658 | + | 0.589309i | −0.0367958 | + | 0.0187484i | ||||
\(989\) | −10.8480 | − | 33.3866i | −0.344945 | − | 1.06163i | ||||
\(990\) | −49.5766 | − | 9.74673i | −1.57565 | − | 0.309771i | ||||
\(991\) | −13.8660 | + | 42.6753i | −0.440469 | + | 1.35563i | 0.446908 | + | 0.894580i | \(0.352525\pi\) |
−0.887377 | + | 0.461045i | \(0.847475\pi\) | |||||||
\(992\) | 1.87311 | + | 11.8263i | 0.0594712 | + | 0.375487i | ||||
\(993\) | −14.7415 | − | 42.7807i | −0.467808 | − | 1.35760i | ||||
\(994\) | 12.8703 | − | 17.7144i | 0.408220 | − | 0.561867i | ||||
\(995\) | 15.1283 | − | 37.1660i | 0.479600 | − | 1.17824i | ||||
\(996\) | −10.9652 | − | 62.1039i | −0.347447 | − | 1.96784i | ||||
\(997\) | −1.36742 | + | 8.63357i | −0.0433067 | + | 0.273428i | −0.999834 | − | 0.0182147i | \(-0.994202\pi\) |
0.956527 | + | 0.291643i | \(0.0942018\pi\) | |||||||
\(998\) | 35.8320 | + | 18.2573i | 1.13424 | + | 0.577925i | ||||
\(999\) | −8.89706 | + | 1.89751i | −0.281491 | + | 0.0600346i |
(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 | 525.2.bk.a.8.9 | ✓ | 480 | |
3.2 | odd | 2 | inner | 525.2.bk.a.8.52 | yes | 480 | |
25.22 | odd | 20 | inner | 525.2.bk.a.197.52 | yes | 480 | |
75.47 | even | 20 | inner | 525.2.bk.a.197.9 | yes | 480 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
525.2.bk.a.8.9 | ✓ | 480 | 1.1 | even | 1 | trivial | |
525.2.bk.a.8.52 | yes | 480 | 3.2 | odd | 2 | inner | |
525.2.bk.a.197.9 | yes | 480 | 75.47 | even | 20 | inner | |
525.2.bk.a.197.52 | yes | 480 | 25.22 | odd | 20 | inner |