Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [930,2,Mod(13,930)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(930, base_ring=CyclotomicField(60))
chi = DirichletCharacter(H, H._module([0, 45, 22]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("930.13");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 930 = 2 \cdot 3 \cdot 5 \cdot 31 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 930.bt (of order \(60\), degree \(16\), 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: | \(7.42608738798\) |
Analytic rank: | \(0\) |
Dimension: | \(256\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{60})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{60}]$ |
Embedding invariants
Embedding label | 13.7 | ||
Character | \(\chi\) | \(=\) | 930.13 |
Dual form | 930.2.bt.b.787.7 |
$q$-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 \(\left(\mathbb{Z}/930\mathbb{Z}\right)^\times\).
\(n\) | \(187\) | \(311\) | \(871\) |
\(\chi(n)\) | \(e\left(\frac{3}{4}\right)\) | \(1\) | \(e\left(\frac{11}{30}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.156434 | + | 0.987688i | −0.110616 | + | 0.698401i | ||||
\(3\) | −0.358368 | + | 0.933580i | −0.206904 | + | 0.539003i | ||||
\(4\) | −0.951057 | − | 0.309017i | −0.475528 | − | 0.154508i | ||||
\(5\) | 1.76804 | + | 1.36895i | 0.790694 | + | 0.612212i | ||||
\(6\) | −0.866025 | − | 0.500000i | −0.353553 | − | 0.204124i | ||||
\(7\) | 3.85109 | + | 0.201827i | 1.45558 | + | 0.0762835i | 0.763624 | − | 0.645661i | \(-0.223418\pi\) |
0.691951 | + | 0.721944i | \(0.256751\pi\) | |||||||
\(8\) | 0.453990 | − | 0.891007i | 0.160510 | − | 0.315018i | ||||
\(9\) | −0.743145 | − | 0.669131i | −0.247715 | − | 0.223044i | ||||
\(10\) | −1.62868 | + | 1.53213i | −0.515033 | + | 0.484501i | ||||
\(11\) | 0.688835 | + | 3.24072i | 0.207692 | + | 0.977113i | 0.951245 | + | 0.308436i | \(0.0998056\pi\) |
−0.743553 | + | 0.668677i | \(0.766861\pi\) | |||||||
\(12\) | 0.629320 | − | 0.777146i | 0.181669 | − | 0.224343i | ||||
\(13\) | −0.782217 | − | 0.965958i | −0.216948 | − | 0.267908i | 0.657040 | − | 0.753855i | \(-0.271808\pi\) |
−0.873988 | + | 0.485947i | \(0.838475\pi\) | |||||||
\(14\) | −0.801786 | + | 3.77210i | −0.214286 | + | 1.00814i | ||||
\(15\) | −1.91163 | + | 1.16002i | −0.493582 | + | 0.299517i | ||||
\(16\) | 0.809017 | + | 0.587785i | 0.202254 | + | 0.146946i | ||||
\(17\) | −1.92283 | − | 2.96090i | −0.466356 | − | 0.718125i | 0.524742 | − | 0.851261i | \(-0.324162\pi\) |
−0.991098 | + | 0.133136i | \(0.957495\pi\) | |||||||
\(18\) | 0.777146 | − | 0.629320i | 0.183175 | − | 0.148332i | ||||
\(19\) | 7.33485 | − | 0.770923i | 1.68273 | − | 0.176862i | 0.785632 | − | 0.618694i | \(-0.212338\pi\) |
0.897098 | + | 0.441832i | \(0.145671\pi\) | |||||||
\(20\) | −1.25848 | − | 1.84830i | −0.281405 | − | 0.413293i | ||||
\(21\) | −1.56853 | + | 3.52297i | −0.342281 | + | 0.768776i | ||||
\(22\) | −3.30857 | + | 0.173395i | −0.705391 | + | 0.0369680i | ||||
\(23\) | 4.96628 | + | 2.53045i | 1.03554 | + | 0.527635i | 0.887240 | − | 0.461308i | \(-0.152620\pi\) |
0.148301 | + | 0.988942i | \(0.452620\pi\) | |||||||
\(24\) | 0.669131 | + | 0.743145i | 0.136586 | + | 0.151694i | ||||
\(25\) | 1.25196 | + | 4.84072i | 0.250393 | + | 0.968144i | ||||
\(26\) | 1.07643 | − | 0.621478i | 0.211105 | − | 0.121882i | ||||
\(27\) | 0.891007 | − | 0.453990i | 0.171474 | − | 0.0873705i | ||||
\(28\) | −3.60024 | − | 1.38200i | −0.680381 | − | 0.261174i | ||||
\(29\) | −0.475375 | + | 0.345380i | −0.0882749 | + | 0.0641354i | −0.631047 | − | 0.775744i | \(-0.717375\pi\) |
0.542772 | + | 0.839880i | \(0.317375\pi\) | |||||||
\(30\) | −0.846698 | − | 2.06957i | −0.154585 | − | 0.377849i | ||||
\(31\) | −2.16194 | − | 5.13089i | −0.388296 | − | 0.921535i | ||||
\(32\) | −0.707107 | + | 0.707107i | −0.125000 | + | 0.125000i | ||||
\(33\) | −3.27233 | − | 0.518285i | −0.569639 | − | 0.0902219i | ||||
\(34\) | 3.22525 | − | 1.43597i | 0.553126 | − | 0.246267i | ||||
\(35\) | 6.53261 | + | 5.62878i | 1.10421 | + | 0.951438i | ||||
\(36\) | 0.500000 | + | 0.866025i | 0.0833333 | + | 0.144338i | ||||
\(37\) | 4.86241 | − | 1.30288i | 0.799376 | − | 0.214192i | 0.164066 | − | 0.986449i | \(-0.447539\pi\) |
0.635310 | + | 0.772257i | \(0.280872\pi\) | |||||||
\(38\) | −0.385991 | + | 7.36514i | −0.0626160 | + | 1.19478i | ||||
\(39\) | 1.18212 | − | 0.384094i | 0.189291 | − | 0.0615043i | ||||
\(40\) | 2.02242 | − | 0.953850i | 0.319772 | − | 0.150817i | ||||
\(41\) | −3.78807 | − | 1.68656i | −0.591598 | − | 0.263396i | 0.0890262 | − | 0.996029i | \(-0.471625\pi\) |
−0.680624 | + | 0.732633i | \(0.738291\pi\) | |||||||
\(42\) | −3.23423 | − | 2.10033i | −0.499052 | − | 0.324088i | ||||
\(43\) | −2.11526 | − | 1.71290i | −0.322574 | − | 0.261215i | 0.454332 | − | 0.890833i | \(-0.349878\pi\) |
−0.776905 | + | 0.629618i | \(0.783211\pi\) | |||||||
\(44\) | 0.346315 | − | 3.29497i | 0.0522089 | − | 0.496735i | ||||
\(45\) | −0.397908 | − | 2.20038i | −0.0593167 | − | 0.328013i | ||||
\(46\) | −3.27619 | + | 4.50929i | −0.483048 | + | 0.664858i | ||||
\(47\) | −9.17023 | + | 1.45242i | −1.33762 | + | 0.211858i | −0.783920 | − | 0.620861i | \(-0.786783\pi\) |
−0.553696 | + | 0.832719i | \(0.686783\pi\) | |||||||
\(48\) | −0.838671 | + | 0.544639i | −0.121052 | + | 0.0786119i | ||||
\(49\) | 7.82851 | + | 0.822809i | 1.11836 | + | 0.117544i | ||||
\(50\) | −4.97697 | + | 0.479294i | −0.703851 | + | 0.0677824i | ||||
\(51\) | 3.45332 | − | 0.734027i | 0.483562 | − | 0.102784i | ||||
\(52\) | 0.445435 | + | 1.16040i | 0.0617708 | + | 0.160918i | ||||
\(53\) | 0.616486 | + | 11.7633i | 0.0846809 | + | 1.61581i | 0.629327 | + | 0.777141i | \(0.283331\pi\) |
−0.544646 | + | 0.838666i | \(0.683336\pi\) | |||||||
\(54\) | 0.309017 | + | 0.951057i | 0.0420519 | + | 0.129422i | ||||
\(55\) | −3.21848 | + | 6.67271i | −0.433980 | + | 0.899748i | ||||
\(56\) | 1.92819 | − | 3.33972i | 0.257665 | − | 0.446289i | ||||
\(57\) | −1.90886 | + | 7.12394i | −0.252834 | + | 0.943589i | ||||
\(58\) | −0.266763 | − | 0.523551i | −0.0350277 | − | 0.0687457i | ||||
\(59\) | −2.65496 | − | 5.96313i | −0.345646 | − | 0.776334i | −0.999801 | − | 0.0199728i | \(-0.993642\pi\) |
0.654154 | − | 0.756361i | \(-0.273025\pi\) | |||||||
\(60\) | 2.17654 | − | 0.512522i | 0.280990 | − | 0.0661663i | ||||
\(61\) | 0.186038i | 0.0238197i | 0.999929 | + | 0.0119098i | \(0.00379111\pi\) | ||||
−0.999929 | + | 0.0119098i | \(0.996209\pi\) | |||||||
\(62\) | 5.40592 | − | 1.33268i | 0.686553 | − | 0.169250i | ||||
\(63\) | −2.72687 | − | 2.72687i | −0.343553 | − | 0.343553i | ||||
\(64\) | −0.587785 | − | 0.809017i | −0.0734732 | − | 0.101127i | ||||
\(65\) | −0.0606490 | − | 2.77867i | −0.00752258 | − | 0.344652i | ||||
\(66\) | 1.02381 | − | 3.15096i | 0.126022 | − | 0.387856i | ||||
\(67\) | −8.94301 | − | 2.39627i | −1.09256 | − | 0.292751i | −0.332830 | − | 0.942987i | \(-0.608004\pi\) |
−0.759733 | + | 0.650236i | \(0.774670\pi\) | |||||||
\(68\) | 0.913754 | + | 3.41018i | 0.110809 | + | 0.413545i | ||||
\(69\) | −4.14213 | + | 3.72959i | −0.498654 | + | 0.448990i | ||||
\(70\) | −6.58141 | + | 5.57165i | −0.786629 | + | 0.665939i | ||||
\(71\) | −2.51006 | + | 2.78770i | −0.297889 | + | 0.330839i | −0.873445 | − | 0.486923i | \(-0.838119\pi\) |
0.575556 | + | 0.817762i | \(0.304786\pi\) | |||||||
\(72\) | −0.933580 | + | 0.358368i | −0.110024 | + | 0.0422341i | ||||
\(73\) | −8.32183 | + | 12.8145i | −0.973997 | + | 1.49982i | −0.111498 | + | 0.993765i | \(0.535565\pi\) |
−0.862499 | + | 0.506059i | \(0.831102\pi\) | |||||||
\(74\) | 0.526190 | + | 5.00637i | 0.0611684 | + | 0.581978i | ||||
\(75\) | −4.96787 | − | 0.565951i | −0.573640 | − | 0.0653504i | ||||
\(76\) | −7.21408 | − | 1.53340i | −0.827512 | − | 0.175893i | ||||
\(77\) | 1.99870 | + | 12.6193i | 0.227773 | + | 1.43810i | ||||
\(78\) | 0.194441 | + | 1.22765i | 0.0220161 | + | 0.139004i | ||||
\(79\) | −7.52788 | − | 1.60010i | −0.846953 | − | 0.180025i | −0.236060 | − | 0.971738i | \(-0.575856\pi\) |
−0.610893 | + | 0.791713i | \(0.709190\pi\) | |||||||
\(80\) | 0.625731 | + | 2.14673i | 0.0699588 | + | 0.240012i | ||||
\(81\) | 0.104528 | + | 0.994522i | 0.0116143 | + | 0.110502i | ||||
\(82\) | 2.25838 | − | 3.47760i | 0.249396 | − | 0.384037i | ||||
\(83\) | −10.1962 | + | 3.91395i | −1.11918 | + | 0.429612i | −0.846444 | − | 0.532477i | \(-0.821261\pi\) |
−0.272734 | + | 0.962090i | \(0.587928\pi\) | |||||||
\(84\) | 2.58042 | − | 2.86585i | 0.281547 | − | 0.312689i | ||||
\(85\) | 0.653668 | − | 7.86727i | 0.0709003 | − | 0.853325i | ||||
\(86\) | 2.02271 | − | 1.82126i | 0.218115 | − | 0.196391i | ||||
\(87\) | −0.152081 | − | 0.567574i | −0.0163048 | − | 0.0608503i | ||||
\(88\) | 3.20022 | + | 0.857497i | 0.341145 | + | 0.0914095i | ||||
\(89\) | 2.54213 | − | 7.82387i | 0.269465 | − | 0.829329i | −0.721166 | − | 0.692763i | \(-0.756393\pi\) |
0.990631 | − | 0.136566i | \(-0.0436067\pi\) | |||||||
\(90\) | 2.23554 | − | 0.0487942i | 0.235646 | − | 0.00514336i | ||||
\(91\) | −2.81743 | − | 3.87786i | −0.295347 | − | 0.406510i | ||||
\(92\) | −3.94126 | − | 3.94126i | −0.410905 | − | 0.410905i | ||||
\(93\) | 5.56487 | − | 0.179602i | 0.577050 | − | 0.0186238i | ||||
\(94\) | − | 9.28454i | − | 0.957627i | ||||||
\(95\) | 14.0237 | + | 8.67800i | 1.43880 | + | 0.890344i | ||||
\(96\) | −0.406737 | − | 0.913545i | −0.0415124 | − | 0.0932383i | ||||
\(97\) | 0.889298 | + | 1.74535i | 0.0902946 | + | 0.177213i | 0.931737 | − | 0.363134i | \(-0.118293\pi\) |
−0.841443 | + | 0.540347i | \(0.818293\pi\) | |||||||
\(98\) | −2.03733 | + | 7.60341i | −0.205801 | + | 0.768061i | ||||
\(99\) | 1.65656 | − | 2.86924i | 0.166490 | − | 0.288370i | ||||
\(100\) | 0.305177 | − | 4.99068i | 0.0305177 | − | 0.499068i | ||||
\(101\) | 0.737220 | + | 2.26893i | 0.0733561 | + | 0.225767i | 0.981012 | − | 0.193949i | \(-0.0621297\pi\) |
−0.907655 | + | 0.419716i | \(0.862130\pi\) | |||||||
\(102\) | 0.184771 | + | 3.52564i | 0.0182950 | + | 0.349090i | ||||
\(103\) | −6.86470 | − | 17.8831i | −0.676399 | − | 1.76208i | −0.646975 | − | 0.762511i | \(-0.723966\pi\) |
−0.0294236 | − | 0.999567i | \(-0.509367\pi\) | |||||||
\(104\) | −1.21579 | + | 0.258425i | −0.119218 | + | 0.0253406i | ||||
\(105\) | −7.59600 | + | 4.08154i | −0.741293 | + | 0.398318i | ||||
\(106\) | −11.7149 | − | 1.23128i | −1.13785 | − | 0.119593i | ||||
\(107\) | 10.0481 | − | 6.52532i | 0.971387 | − | 0.630826i | 0.0416821 | − | 0.999131i | \(-0.486728\pi\) |
0.929705 | + | 0.368305i | \(0.120062\pi\) | |||||||
\(108\) | −0.987688 | + | 0.156434i | −0.0950404 | + | 0.0150529i | ||||
\(109\) | 10.6903 | − | 14.7139i | 1.02394 | − | 1.40934i | 0.114541 | − | 0.993419i | \(-0.463460\pi\) |
0.909402 | − | 0.415918i | \(-0.136540\pi\) | |||||||
\(110\) | −6.08708 | − | 4.22270i | −0.580380 | − | 0.402618i | ||||
\(111\) | −0.526190 | + | 5.00637i | −0.0499438 | + | 0.475183i | ||||
\(112\) | 2.99697 | + | 2.42690i | 0.283187 | + | 0.229320i | ||||
\(113\) | 13.4409 | + | 8.72865i | 1.26442 | + | 0.821123i | 0.990079 | − | 0.140511i | \(-0.0448744\pi\) |
0.274339 | + | 0.961633i | \(0.411541\pi\) | |||||||
\(114\) | −6.73763 | − | 2.99978i | −0.631036 | − | 0.280956i | ||||
\(115\) | 5.31656 | + | 11.2725i | 0.495772 | + | 1.05117i | ||||
\(116\) | 0.558836 | − | 0.181577i | 0.0518867 | − | 0.0168590i | ||||
\(117\) | −0.0650512 | + | 1.24125i | −0.00601399 | + | 0.114754i | ||||
\(118\) | 6.30504 | − | 1.68943i | 0.580426 | − | 0.155525i | ||||
\(119\) | −6.80742 | − | 11.7908i | −0.624035 | − | 1.08086i | ||||
\(120\) | 0.165726 | + | 2.22992i | 0.0151287 | + | 0.203563i | ||||
\(121\) | 0.0212556 | − | 0.00946362i | 0.00193233 | − | 0.000860329i | ||||
\(122\) | −0.183747 | − | 0.0291027i | −0.0166357 | − | 0.00263484i | ||||
\(123\) | 2.93206 | − | 2.93206i | 0.264375 | − | 0.264375i | ||||
\(124\) | 0.470598 | + | 5.54784i | 0.0422610 | + | 0.498211i | ||||
\(125\) | −4.41317 | + | 10.2725i | −0.394726 | + | 0.918799i | ||||
\(126\) | 3.11987 | − | 2.26672i | 0.277940 | − | 0.201936i | ||||
\(127\) | 13.0838 | + | 5.02239i | 1.16100 | + | 0.445665i | 0.861165 | − | 0.508326i | \(-0.169736\pi\) |
0.299833 | + | 0.953992i | \(0.403069\pi\) | |||||||
\(128\) | 0.891007 | − | 0.453990i | 0.0787546 | − | 0.0401275i | ||||
\(129\) | 2.35717 | − | 1.36091i | 0.207537 | − | 0.119822i | ||||
\(130\) | 2.75395 | + | 0.374778i | 0.241537 | + | 0.0328702i | ||||
\(131\) | 9.86577 | + | 10.9571i | 0.861977 | + | 0.957322i | 0.999449 | − | 0.0331836i | \(-0.0105646\pi\) |
−0.137473 | + | 0.990506i | \(0.543898\pi\) | |||||||
\(132\) | 2.95201 | + | 1.50412i | 0.256939 | + | 0.130917i | ||||
\(133\) | 28.4028 | − | 1.48853i | 2.46283 | − | 0.129071i | ||||
\(134\) | 3.76577 | − | 8.45805i | 0.325313 | − | 0.730664i | ||||
\(135\) | 2.19683 | + | 0.417066i | 0.189073 | + | 0.0358953i | ||||
\(136\) | −3.51113 | + | 0.369035i | −0.301077 | + | 0.0316445i | ||||
\(137\) | −5.16034 | + | 4.17876i | −0.440878 | + | 0.357016i | −0.823911 | − | 0.566719i | \(-0.808213\pi\) |
0.383034 | + | 0.923734i | \(0.374879\pi\) | |||||||
\(138\) | −3.03570 | − | 4.67457i | −0.258416 | − | 0.397926i | ||||
\(139\) | −11.3149 | − | 8.22074i | −0.959716 | − | 0.697274i | −0.00663094 | − | 0.999978i | \(-0.502111\pi\) |
−0.953085 | + | 0.302704i | \(0.902111\pi\) | |||||||
\(140\) | −4.47349 | − | 7.37198i | −0.378079 | − | 0.623046i | ||||
\(141\) | 1.93036 | − | 9.08165i | 0.162566 | − | 0.764813i | ||||
\(142\) | −2.36072 | − | 2.91524i | −0.198107 | − | 0.244642i | ||||
\(143\) | 2.59158 | − | 3.20033i | 0.216718 | − | 0.267625i | ||||
\(144\) | −0.207912 | − | 0.978148i | −0.0173260 | − | 0.0815123i | ||||
\(145\) | −1.31329 | − | 0.0401161i | −0.109063 | − | 0.00333146i | ||||
\(146\) | −11.3549 | − | 10.2240i | −0.939739 | − | 0.846145i | ||||
\(147\) | −3.57365 | + | 7.01367i | −0.294749 | + | 0.578478i | ||||
\(148\) | −5.02704 | − | 0.263456i | −0.413220 | − | 0.0216560i | ||||
\(149\) | −6.24596 | − | 3.60611i | −0.511689 | − | 0.295424i | 0.221839 | − | 0.975083i | \(-0.428794\pi\) |
−0.733528 | + | 0.679660i | \(0.762127\pi\) | |||||||
\(150\) | 1.33613 | − | 4.81817i | 0.109094 | − | 0.393402i | ||||
\(151\) | −21.7282 | − | 7.05993i | −1.76822 | − | 0.574529i | −0.770220 | − | 0.637778i | \(-0.779854\pi\) |
−0.997998 | + | 0.0632495i | \(0.979854\pi\) | |||||||
\(152\) | 2.64305 | − | 6.88539i | 0.214380 | − | 0.558479i | ||||
\(153\) | −0.552288 | + | 3.48701i | −0.0446498 | + | 0.281908i | ||||
\(154\) | −12.7766 | −1.02957 | ||||||||
\(155\) | 3.20151 | − | 12.0312i | 0.257151 | − | 0.966371i | ||||
\(156\) | −1.24296 | −0.0995161 | ||||||||
\(157\) | 2.23079 | − | 14.0846i | 0.178036 | − | 1.12408i | −0.723165 | − | 0.690676i | \(-0.757313\pi\) |
0.901201 | − | 0.433402i | \(-0.142687\pi\) | |||||||
\(158\) | 2.75802 | − | 7.18489i | 0.219416 | − | 0.571599i | ||||
\(159\) | −11.2029 | − | 3.64003i | −0.888445 | − | 0.288673i | ||||
\(160\) | −2.21819 | + | 0.282204i | −0.175363 | + | 0.0223102i | ||||
\(161\) | 18.6149 | + | 10.7473i | 1.46706 | + | 0.847007i | ||||
\(162\) | −0.998630 | − | 0.0523360i | −0.0784597 | − | 0.00411190i | ||||
\(163\) | −0.585620 | + | 1.14934i | −0.0458693 | + | 0.0900235i | −0.912803 | − | 0.408399i | \(-0.866087\pi\) |
0.866934 | + | 0.498423i | \(0.166087\pi\) | |||||||
\(164\) | 3.08150 | + | 2.77459i | 0.240624 | + | 0.216659i | ||||
\(165\) | −5.07611 | − | 5.39599i | −0.395175 | − | 0.420078i | ||||
\(166\) | −2.27073 | − | 10.6829i | −0.176243 | − | 0.829157i | ||||
\(167\) | 1.98214 | − | 2.44774i | 0.153383 | − | 0.189412i | −0.694662 | − | 0.719336i | \(-0.744446\pi\) |
0.848045 | + | 0.529924i | \(0.177780\pi\) | |||||||
\(168\) | 2.42690 | + | 2.99697i | 0.187239 | + | 0.231221i | ||||
\(169\) | 2.38164 | − | 11.2047i | 0.183203 | − | 0.861903i | ||||
\(170\) | 7.66816 | + | 1.87633i | 0.588121 | + | 0.143908i | ||||
\(171\) | −5.96670 | − | 4.33506i | −0.456285 | − | 0.331511i | ||||
\(172\) | 1.48241 | + | 2.28272i | 0.113033 | + | 0.174055i | ||||
\(173\) | 10.0870 | − | 8.16831i | 0.766903 | − | 0.621025i | −0.163930 | − | 0.986472i | \(-0.552417\pi\) |
0.930832 | + | 0.365447i | \(0.119084\pi\) | |||||||
\(174\) | 0.584376 | − | 0.0614204i | 0.0443015 | − | 0.00465627i | ||||
\(175\) | 3.84443 | + | 18.8947i | 0.290612 | + | 1.42831i | ||||
\(176\) | −1.34757 | + | 3.02668i | −0.101577 | + | 0.228145i | ||||
\(177\) | 6.51852 | − | 0.341621i | 0.489962 | − | 0.0256778i | ||||
\(178\) | 7.32987 | + | 3.73476i | 0.549397 | + | 0.279932i | ||||
\(179\) | 6.59186 | + | 7.32101i | 0.492699 | + | 0.547198i | 0.937297 | − | 0.348533i | \(-0.113320\pi\) |
−0.444598 | + | 0.895730i | \(0.646653\pi\) | |||||||
\(180\) | −0.301521 | + | 2.21565i | −0.0224741 | + | 0.165144i | ||||
\(181\) | −6.20187 | + | 3.58065i | −0.460981 | + | 0.266148i | −0.712457 | − | 0.701716i | \(-0.752418\pi\) |
0.251475 | + | 0.967864i | \(0.419084\pi\) | |||||||
\(182\) | 4.27086 | − | 2.17611i | 0.316577 | − | 0.161304i | ||||
\(183\) | −0.173681 | − | 0.0666700i | −0.0128389 | − | 0.00492839i | ||||
\(184\) | 4.50929 | − | 3.27619i | 0.332429 | − | 0.241524i | ||||
\(185\) | 10.3805 | + | 4.35284i | 0.763193 | + | 0.320027i | ||||
\(186\) | −0.693147 | + | 5.52445i | −0.0508240 | + | 0.405072i | ||||
\(187\) | 8.27093 | − | 8.27093i | 0.604831 | − | 0.604831i | ||||
\(188\) | 9.17023 | + | 1.45242i | 0.668808 | + | 0.105929i | ||||
\(189\) | 3.52297 | − | 1.56853i | 0.256259 | − | 0.114094i | ||||
\(190\) | −10.7649 | + | 12.4935i | −0.780971 | + | 0.906374i | ||||
\(191\) | −1.90467 | − | 3.29898i | −0.137817 | − | 0.238706i | 0.788853 | − | 0.614582i | \(-0.210675\pi\) |
−0.926670 | + | 0.375876i | \(0.877342\pi\) | |||||||
\(192\) | 0.965926 | − | 0.258819i | 0.0697097 | − | 0.0186787i | ||||
\(193\) | −1.10903 | + | 21.1615i | −0.0798296 | + | 1.52324i | 0.605992 | + | 0.795471i | \(0.292776\pi\) |
−0.685822 | + | 0.727769i | \(0.740557\pi\) | |||||||
\(194\) | −1.86297 | + | 0.605317i | −0.133754 | + | 0.0434592i | ||||
\(195\) | 2.61585 | + | 0.939166i | 0.187325 | + | 0.0672551i | ||||
\(196\) | −7.19109 | − | 3.20168i | −0.513649 | − | 0.228691i | ||||
\(197\) | −14.2379 | − | 9.24623i | −1.01441 | − | 0.658767i | −0.0734569 | − | 0.997298i | \(-0.523403\pi\) |
−0.940955 | + | 0.338532i | \(0.890070\pi\) | |||||||
\(198\) | 2.57477 | + | 2.08501i | 0.182981 | + | 0.148175i | ||||
\(199\) | −0.909255 | + | 8.65098i | −0.0644554 | + | 0.613252i | 0.913845 | + | 0.406062i | \(0.133098\pi\) |
−0.978301 | + | 0.207190i | \(0.933568\pi\) | |||||||
\(200\) | 4.88149 | + | 1.08213i | 0.345174 | + | 0.0765184i | ||||
\(201\) | 5.44200 | − | 7.49027i | 0.383849 | − | 0.528323i | ||||
\(202\) | −2.35632 | + | 0.373205i | −0.165790 | + | 0.0262586i | ||||
\(203\) | −1.90042 | + | 1.23415i | −0.133383 | + | 0.0866200i | ||||
\(204\) | −3.51113 | − | 0.369035i | −0.245829 | − | 0.0258376i | ||||
\(205\) | −4.38867 | − | 8.16759i | −0.306518 | − | 0.570449i | ||||
\(206\) | 18.7368 | − | 3.98264i | 1.30546 | − | 0.277484i | ||||
\(207\) | −1.99747 | − | 5.20358i | −0.138834 | − | 0.361674i | ||||
\(208\) | −0.0650512 | − | 1.24125i | −0.00451049 | − | 0.0860653i | ||||
\(209\) | 7.55085 | + | 23.2391i | 0.522303 | + | 1.60748i | ||||
\(210\) | −2.84301 | − | 8.14097i | −0.196187 | − | 0.561780i | ||||
\(211\) | 6.10082 | − | 10.5669i | 0.419998 | − | 0.727457i | −0.575941 | − | 0.817491i | \(-0.695364\pi\) |
0.995939 | + | 0.0900340i | \(0.0286976\pi\) | |||||||
\(212\) | 3.04873 | − | 11.3780i | 0.209388 | − | 0.781446i | ||||
\(213\) | −1.70302 | − | 3.34236i | −0.116689 | − | 0.229015i | ||||
\(214\) | 4.87311 | + | 10.9452i | 0.333119 | + | 0.748197i | ||||
\(215\) | −1.39500 | − | 5.92416i | −0.0951379 | − | 0.404024i | ||||
\(216\) | − | 1.00000i | − | 0.0680414i | ||||||
\(217\) | −7.29028 | − | 20.1958i | −0.494897 | − | 1.37098i | ||||
\(218\) | 12.8604 | + | 12.8604i | 0.871018 | + | 0.871018i | ||||
\(219\) | −8.98109 | − | 12.3614i | −0.606886 | − | 0.835306i | ||||
\(220\) | 5.12294 | − | 5.35156i | 0.345388 | − | 0.360802i | ||||
\(221\) | −1.35603 | + | 4.17345i | −0.0912168 | + | 0.280736i | ||||
\(222\) | −4.86241 | − | 1.30288i | −0.326344 | − | 0.0874436i | ||||
\(223\) | 1.82295 | + | 6.80333i | 0.122074 | + | 0.455585i | 0.999718 | − | 0.0237267i | \(-0.00755316\pi\) |
−0.877645 | + | 0.479311i | \(0.840886\pi\) | |||||||
\(224\) | −2.86585 | + | 2.58042i | −0.191482 | + | 0.172411i | ||||
\(225\) | 2.30869 | − | 4.43508i | 0.153912 | − | 0.295672i | ||||
\(226\) | −10.7238 | + | 11.9100i | −0.713338 | + | 0.792242i | ||||
\(227\) | 14.6524 | − | 5.62452i | 0.972513 | − | 0.373313i | 0.180337 | − | 0.983605i | \(-0.442281\pi\) |
0.792176 | + | 0.610292i | \(0.208948\pi\) | |||||||
\(228\) | 4.01685 | − | 6.18540i | 0.266022 | − | 0.409638i | ||||
\(229\) | 0.521396 | + | 4.96076i | 0.0344549 | + | 0.327816i | 0.998149 | + | 0.0608089i | \(0.0193680\pi\) |
−0.963695 | + | 0.267007i | \(0.913965\pi\) | |||||||
\(230\) | −11.9654 | + | 3.48769i | −0.788977 | + | 0.229972i | ||||
\(231\) | −12.4974 | − | 2.65641i | −0.822270 | − | 0.174779i | ||||
\(232\) | 0.0919202 | + | 0.580361i | 0.00603485 | + | 0.0381026i | ||||
\(233\) | 4.54703 | + | 28.7088i | 0.297886 | + | 1.88078i | 0.450932 | + | 0.892558i | \(0.351092\pi\) |
−0.153046 | + | 0.988219i | \(0.548908\pi\) | |||||||
\(234\) | −1.21579 | − | 0.258425i | −0.0794789 | − | 0.0168938i | ||||
\(235\) | −18.2017 | − | 9.98562i | −1.18735 | − | 0.651390i | ||||
\(236\) | 0.682306 | + | 6.49170i | 0.0444143 | + | 0.422574i | ||||
\(237\) | 4.19158 | − | 6.45446i | 0.272272 | − | 0.419262i | ||||
\(238\) | 12.7105 | − | 4.87912i | 0.823902 | − | 0.316266i | ||||
\(239\) | 17.8124 | − | 19.7826i | 1.15219 | − | 1.27963i | 0.198071 | − | 0.980188i | \(-0.436532\pi\) |
0.954114 | − | 0.299444i | \(-0.0968010\pi\) | |||||||
\(240\) | −2.22839 | − | 0.185150i | −0.143842 | − | 0.0119514i | ||||
\(241\) | 8.84738 | − | 7.96622i | 0.569910 | − | 0.513149i | −0.333030 | − | 0.942916i | \(-0.608071\pi\) |
0.902940 | + | 0.429767i | \(0.141404\pi\) | |||||||
\(242\) | 0.00602199 | + | 0.0224744i | 0.000387108 | + | 0.00144471i | ||||
\(243\) | −0.965926 | − | 0.258819i | −0.0619642 | − | 0.0166032i | ||||
\(244\) | 0.0574888 | − | 0.176932i | 0.00368035 | − | 0.0113269i | ||||
\(245\) | 12.7148 | + | 12.1716i | 0.812317 | + | 0.777614i | ||||
\(246\) | 2.43729 | + | 3.35464i | 0.155396 | + | 0.213884i | ||||
\(247\) | −6.48212 | − | 6.48212i | −0.412448 | − | 0.412448i | ||||
\(248\) | −5.55316 | − | 0.403069i | −0.352626 | − | 0.0255949i | ||||
\(249\) | − | 10.9216i | − | 0.692129i | ||||||
\(250\) | −9.45564 | − | 5.96581i | −0.598027 | − | 0.377311i | ||||
\(251\) | −9.17099 | − | 20.5984i | −0.578868 | − | 1.30016i | −0.931277 | − | 0.364312i | \(-0.881304\pi\) |
0.352410 | − | 0.935846i | \(-0.385362\pi\) | |||||||
\(252\) | 1.75076 | + | 3.43606i | 0.110287 | + | 0.216451i | ||||
\(253\) | −4.77951 | + | 17.8374i | −0.300485 | + | 1.12143i | ||||
\(254\) | −7.00731 | + | 12.1370i | −0.439678 | + | 0.761544i | ||||
\(255\) | 7.11048 | + | 3.42963i | 0.445275 | + | 0.214772i | ||||
\(256\) | 0.309017 | + | 0.951057i | 0.0193136 | + | 0.0594410i | ||||
\(257\) | −0.0233220 | − | 0.445010i | −0.00145479 | − | 0.0277590i | 0.997806 | − | 0.0662104i | \(-0.0210909\pi\) |
−0.999260 | + | 0.0384514i | \(0.987758\pi\) | |||||||
\(258\) | 0.975415 | + | 2.54104i | 0.0607267 | + | 0.158198i | ||||
\(259\) | 18.9886 | − | 4.03614i | 1.17989 | − | 0.250794i | ||||
\(260\) | −0.800976 | + | 2.66141i | −0.0496744 | + | 0.165054i | ||||
\(261\) | 0.584376 | + | 0.0614204i | 0.0361720 | + | 0.00380183i | ||||
\(262\) | −12.3655 | + | 8.03025i | −0.763943 | + | 0.496110i | ||||
\(263\) | 3.63500 | − | 0.575728i | 0.224144 | − | 0.0355009i | −0.0433522 | − | 0.999060i | \(-0.513804\pi\) |
0.267496 | + | 0.963559i | \(0.413804\pi\) | |||||||
\(264\) | −1.94740 | + | 2.68037i | −0.119854 | + | 0.164965i | ||||
\(265\) | −15.0133 | + | 21.6419i | −0.922260 | + | 1.32945i | ||||
\(266\) | −2.97297 | + | 28.2859i | −0.182285 | + | 1.73432i | ||||
\(267\) | 6.39320 | + | 5.17711i | 0.391257 | + | 0.316834i | ||||
\(268\) | 7.76482 | + | 5.04253i | 0.474312 | + | 0.308022i | ||||
\(269\) | 1.18084 | + | 0.525743i | 0.0719969 | + | 0.0320551i | 0.442419 | − | 0.896808i | \(-0.354120\pi\) |
−0.370422 | + | 0.928863i | \(0.620787\pi\) | |||||||
\(270\) | −0.755591 | + | 2.10454i | −0.0459838 | + | 0.128078i | ||||
\(271\) | 27.3395 | − | 8.88315i | 1.66076 | − | 0.539613i | 0.679728 | − | 0.733465i | \(-0.262098\pi\) |
0.981031 | + | 0.193852i | \(0.0620980\pi\) | |||||||
\(272\) | 0.184771 | − | 3.52564i | 0.0112034 | − | 0.213773i | ||||
\(273\) | 4.62997 | − | 1.24060i | 0.280219 | − | 0.0750844i | ||||
\(274\) | −3.32006 | − | 5.75051i | −0.200572 | − | 0.347401i | ||||
\(275\) | −14.8250 | + | 7.39172i | −0.893982 | + | 0.445737i | ||||
\(276\) | 5.09191 | − | 2.26706i | 0.306497 | − | 0.136461i | ||||
\(277\) | −12.3366 | − | 1.95392i | −0.741234 | − | 0.117400i | −0.225613 | − | 0.974217i | \(-0.572439\pi\) |
−0.515621 | + | 0.856817i | \(0.672439\pi\) | |||||||
\(278\) | 9.88957 | − | 9.88957i | 0.593137 | − | 0.593137i | ||||
\(279\) | −1.82660 | + | 5.25961i | −0.109356 | + | 0.314885i | ||||
\(280\) | 7.98102 | − | 3.26518i | 0.476957 | − | 0.195132i | ||||
\(281\) | 7.17129 | − | 5.21025i | 0.427803 | − | 0.310817i | −0.352967 | − | 0.935636i | \(-0.614827\pi\) |
0.780770 | + | 0.624819i | \(0.214827\pi\) | |||||||
\(282\) | 8.66787 | + | 3.32728i | 0.516164 | + | 0.198137i | ||||
\(283\) | 23.5011 | − | 11.9744i | 1.39699 | − | 0.711804i | 0.416644 | − | 0.909070i | \(-0.363206\pi\) |
0.980350 | + | 0.197266i | \(0.0632062\pi\) | |||||||
\(284\) | 3.24865 | − | 1.87561i | 0.192772 | − | 0.111297i | ||||
\(285\) | −13.1272 | + | 9.98233i | −0.777591 | + | 0.591302i | ||||
\(286\) | 2.75552 | + | 3.06031i | 0.162937 | + | 0.180960i | ||||
\(287\) | −14.2478 | − | 7.25963i | −0.841022 | − | 0.428522i | ||||
\(288\) | 0.998630 | − | 0.0523360i | 0.0588448 | − | 0.00308393i | ||||
\(289\) | 1.84486 | − | 4.14362i | 0.108521 | − | 0.243742i | ||||
\(290\) | 0.245066 | − | 1.29085i | 0.0143908 | − | 0.0758011i | ||||
\(291\) | −1.94812 | + | 0.204755i | −0.114201 | + | 0.0120030i | ||||
\(292\) | 11.8744 | − | 9.61572i | 0.694898 | − | 0.562718i | ||||
\(293\) | −9.08469 | − | 13.9892i | −0.530733 | − | 0.817257i | 0.467021 | − | 0.884246i | \(-0.345327\pi\) |
−0.997754 | + | 0.0669892i | \(0.978661\pi\) | |||||||
\(294\) | −6.36828 | − | 4.62683i | −0.371406 | − | 0.269842i | ||||
\(295\) | 3.46913 | − | 14.1776i | 0.201981 | − | 0.825451i | ||||
\(296\) | 1.04662 | − | 4.92394i | 0.0608333 | − | 0.286198i | ||||
\(297\) | 2.08501 | + | 2.57477i | 0.120985 | + | 0.149404i | ||||
\(298\) | 4.53879 | − | 5.60494i | 0.262925 | − | 0.324685i | ||||
\(299\) | −1.44041 | − | 6.77658i | −0.0833008 | − | 0.391900i | ||||
\(300\) | 4.54983 | + | 2.07341i | 0.262685 | + | 0.119708i | ||||
\(301\) | −7.80033 | − | 7.02345i | −0.449604 | − | 0.404825i | ||||
\(302\) | 10.3721 | − | 20.3563i | 0.596844 | − | 1.17137i | ||||
\(303\) | −2.38242 | − | 0.124858i | −0.136867 | − | 0.00717288i | ||||
\(304\) | 6.38715 | + | 3.68762i | 0.366328 | + | 0.211500i | ||||
\(305\) | −0.254676 | + | 0.328923i | −0.0145827 | + | 0.0188341i | ||||
\(306\) | −3.35768 | − | 1.09098i | −0.191946 | − | 0.0623670i | ||||
\(307\) | −4.42807 | + | 11.5355i | −0.252723 | + | 0.658367i | −0.999981 | − | 0.00616751i | \(-0.998037\pi\) |
0.747258 | + | 0.664535i | \(0.231370\pi\) | |||||||
\(308\) | 1.99870 | − | 12.6193i | 0.113887 | − | 0.719052i | ||||
\(309\) | 19.1554 | 1.08971 | ||||||||
\(310\) | 11.3823 | + | 5.04419i | 0.646470 | + | 0.286491i | ||||
\(311\) | −24.9536 | −1.41499 | −0.707496 | − | 0.706718i | \(-0.750175\pi\) | ||||
−0.707496 | + | 0.706718i | \(0.750175\pi\) | |||||||
\(312\) | 0.194441 | − | 1.22765i | 0.0110081 | − | 0.0695021i | ||||
\(313\) | −4.63325 | + | 12.0700i | −0.261887 | + | 0.682238i | 0.738085 | + | 0.674708i | \(0.235730\pi\) |
−0.999972 | + | 0.00753037i | \(0.997603\pi\) | |||||||
\(314\) | 13.5623 | + | 4.40665i | 0.765363 | + | 0.248682i | ||||
\(315\) | −1.08828 | − | 8.55417i | −0.0613179 | − | 0.481973i | ||||
\(316\) | 6.66498 | + | 3.84803i | 0.374935 | + | 0.216469i | ||||
\(317\) | −1.07296 | − | 0.0562315i | −0.0602634 | − | 0.00315827i | 0.0221804 | − | 0.999754i | \(-0.492939\pi\) |
−0.0824438 | + | 0.996596i | \(0.526273\pi\) | |||||||
\(318\) | 5.34773 | − | 10.4955i | 0.299886 | − | 0.588559i | ||||
\(319\) | −1.44673 | − | 1.30264i | −0.0810015 | − | 0.0729341i | ||||
\(320\) | 0.0682716 | − | 2.23503i | 0.00381650 | − | 0.124942i | ||||
\(321\) | 2.49099 | + | 11.7192i | 0.139033 | + | 0.654101i | ||||
\(322\) | −13.5270 | + | 16.7045i | −0.753830 | + | 0.930903i | ||||
\(323\) | −16.3863 | − | 20.2354i | −0.911759 | − | 1.12593i | ||||
\(324\) | 0.207912 | − | 0.978148i | 0.0115506 | − | 0.0543415i | ||||
\(325\) | 3.69662 | − | 4.99584i | 0.205052 | − | 0.277119i | ||||
\(326\) | −1.04358 | − | 0.758207i | −0.0577987 | − | 0.0419932i | ||||
\(327\) | 9.90556 | + | 15.2532i | 0.547779 | + | 0.843506i | ||||
\(328\) | −3.22248 | + | 2.60952i | −0.177932 | + | 0.144086i | ||||
\(329\) | −35.6085 | + | 3.74261i | −1.96316 | + | 0.206337i | ||||
\(330\) | 6.12364 | − | 4.16950i | 0.337095 | − | 0.229523i | ||||
\(331\) | 3.65471 | − | 8.20862i | 0.200881 | − | 0.451187i | −0.784812 | − | 0.619733i | \(-0.787241\pi\) |
0.985694 | + | 0.168547i | \(0.0539074\pi\) | |||||||
\(332\) | 10.9066 | − | 0.571593i | 0.598579 | − | 0.0313702i | ||||
\(333\) | −4.48528 | − | 2.28536i | −0.245792 | − | 0.125237i | ||||
\(334\) | 2.10753 | + | 2.34065i | 0.115319 | + | 0.128075i | ||||
\(335\) | −12.5313 | − | 16.4792i | −0.684656 | − | 0.900357i | ||||
\(336\) | −3.33972 | + | 1.92819i | −0.182197 | + | 0.105191i | ||||
\(337\) | −16.4469 | + | 8.38012i | −0.895920 | + | 0.456494i | −0.840402 | − | 0.541964i | \(-0.817681\pi\) |
−0.0555180 | + | 0.998458i | \(0.517681\pi\) | |||||||
\(338\) | 10.6942 | + | 4.10513i | 0.581689 | + | 0.223289i | ||||
\(339\) | −12.9657 | + | 9.42013i | −0.704200 | + | 0.511631i | ||||
\(340\) | −3.05280 | + | 7.28022i | −0.165561 | + | 0.394826i | ||||
\(341\) | 15.1385 | − | 10.5406i | 0.819797 | − | 0.570804i | ||||
\(342\) | 5.21509 | − | 5.21509i | 0.282000 | − | 0.282000i | ||||
\(343\) | 3.31995 | + | 0.525829i | 0.179261 | + | 0.0283921i | ||||
\(344\) | −2.48651 | + | 1.10707i | −0.134064 | + | 0.0596890i | ||||
\(345\) | −12.4291 | + | 0.923723i | −0.669160 | + | 0.0497316i | ||||
\(346\) | 6.48979 | + | 11.2406i | 0.348893 | + | 0.604301i | ||||
\(347\) | 0.453436 | − | 0.121498i | 0.0243417 | − | 0.00652234i | −0.246628 | − | 0.969110i | \(-0.579322\pi\) |
0.270969 | + | 0.962588i | \(0.412656\pi\) | |||||||
\(348\) | −0.0307524 | + | 0.586790i | −0.00164850 | + | 0.0314552i | ||||
\(349\) | 9.81715 | − | 3.18979i | 0.525500 | − | 0.170745i | −0.0342398 | − | 0.999414i | \(-0.510901\pi\) |
0.559740 | + | 0.828668i | \(0.310901\pi\) | |||||||
\(350\) | −19.2635 | + | 0.841315i | −1.02968 | + | 0.0449702i | ||||
\(351\) | −1.13550 | − | 0.505555i | −0.0606083 | − | 0.0269846i | ||||
\(352\) | −2.77861 | − | 1.80445i | −0.148101 | − | 0.0961776i | ||||
\(353\) | −17.6252 | − | 14.2726i | −0.938092 | − | 0.759652i | 0.0327271 | − | 0.999464i | \(-0.489581\pi\) |
−0.970819 | + | 0.239812i | \(0.922914\pi\) | |||||||
\(354\) | −0.682306 | + | 6.49170i | −0.0362641 | + | 0.345030i | ||||
\(355\) | −8.25410 | + | 1.49264i | −0.438082 | + | 0.0792211i | ||||
\(356\) | −4.83542 | + | 6.65538i | −0.256277 | + | 0.352735i | ||||
\(357\) | 13.4472 | − | 2.12983i | 0.711702 | − | 0.112723i | ||||
\(358\) | −8.26207 | + | 5.36545i | −0.436664 | + | 0.283573i | ||||
\(359\) | −14.5146 | − | 1.52554i | −0.766050 | − | 0.0805151i | −0.286560 | − | 0.958062i | \(-0.592512\pi\) |
−0.479490 | + | 0.877547i | \(0.659178\pi\) | |||||||
\(360\) | −2.14120 | − | 0.644412i | −0.112851 | − | 0.0339635i | ||||
\(361\) | 34.6209 | − | 7.35889i | 1.82215 | − | 0.387310i | ||||
\(362\) | −2.56638 | − | 6.68565i | −0.134886 | − | 0.351390i | ||||
\(363\) | 0.00121771 | + | 0.0232353i | 6.39133e−5 | + | 0.00121954i | ||||
\(364\) | 1.48121 | + | 4.55870i | 0.0776366 | + | 0.238941i | ||||
\(365\) | −32.2557 | + | 11.2644i | −1.68834 | + | 0.589608i | ||||
\(366\) | 0.0930189 | − | 0.161113i | 0.00486218 | − | 0.00842153i | ||||
\(367\) | −2.05206 | + | 7.65840i | −0.107117 | + | 0.399765i | −0.998577 | − | 0.0533344i | \(-0.983015\pi\) |
0.891460 | + | 0.453099i | \(0.149682\pi\) | |||||||
\(368\) | 2.53045 | + | 4.96628i | 0.131909 | + | 0.258885i | ||||
\(369\) | 1.68656 | + | 3.78807i | 0.0877988 | + | 0.197199i | ||||
\(370\) | −5.92313 | + | 9.57180i | −0.307929 | + | 0.497614i | ||||
\(371\) | 45.4258i | 2.35839i | ||||||||
\(372\) | −5.34800 | − | 1.54883i | −0.277281 | − | 0.0803029i | ||||
\(373\) | 15.9636 | + | 15.9636i | 0.826562 | + | 0.826562i | 0.987040 | − | 0.160477i | \(-0.0513034\pi\) |
−0.160477 | + | 0.987040i | \(0.551303\pi\) | |||||||
\(374\) | 6.87525 | + | 9.46296i | 0.355511 | + | 0.489318i | ||||
\(375\) | −8.00865 | − | 7.80138i | −0.413565 | − | 0.402861i | ||||
\(376\) | −2.86908 | + | 8.83012i | −0.147962 | + | 0.455379i | ||||
\(377\) | 0.705468 | + | 0.189030i | 0.0363335 | + | 0.00973552i | ||||
\(378\) | 0.998103 | + | 3.72497i | 0.0513369 | + | 0.191592i | ||||
\(379\) | 15.6629 | − | 14.1030i | 0.804550 | − | 0.724420i | −0.160344 | − | 0.987061i | \(-0.551260\pi\) |
0.964894 | + | 0.262641i | \(0.0845935\pi\) | |||||||
\(380\) | −10.6557 | − | 12.5868i | −0.546625 | − | 0.645690i | ||||
\(381\) | −9.37761 | + | 10.4149i | −0.480430 | + | 0.533571i | ||||
\(382\) | 3.55632 | − | 1.36514i | 0.181957 | − | 0.0698468i | ||||
\(383\) | −6.90711 | + | 10.6360i | −0.352937 | + | 0.543475i | −0.969896 | − | 0.243520i | \(-0.921698\pi\) |
0.616959 | + | 0.786995i | \(0.288364\pi\) | |||||||
\(384\) | 0.104528 | + | 0.994522i | 0.00533420 | + | 0.0507515i | ||||
\(385\) | −13.7414 | + | 25.0476i | −0.700326 | + | 1.27655i | ||||
\(386\) | −20.7275 | − | 4.40577i | −1.05500 | − | 0.224248i | ||||
\(387\) | 0.425787 | + | 2.68832i | 0.0216440 | + | 0.136655i | ||||
\(388\) | −0.306431 | − | 1.93473i | −0.0155567 | − | 0.0982211i | ||||
\(389\) | −16.0298 | − | 3.40724i | −0.812744 | − | 0.172754i | −0.217252 | − | 0.976116i | \(-0.569709\pi\) |
−0.595492 | + | 0.803362i | \(0.703043\pi\) | |||||||
\(390\) | −1.33681 | + | 2.43672i | −0.0676921 | + | 0.123388i | ||||
\(391\) | −2.05692 | − | 19.5703i | −0.104023 | − | 0.989713i | ||||
\(392\) | 4.28720 | − | 6.60170i | 0.216536 | − | 0.333436i | ||||
\(393\) | −13.7649 | + | 5.28384i | −0.694346 | + | 0.266534i | ||||
\(394\) | 11.3597 | − | 12.6162i | 0.572294 | − | 0.635596i | ||||
\(395\) | −11.1192 | − | 13.1343i | −0.559467 | − | 0.660860i | ||||
\(396\) | −2.46212 | + | 2.21691i | −0.123726 | + | 0.111404i | ||||
\(397\) | −1.13700 | − | 4.24333i | −0.0570642 | − | 0.212966i | 0.931506 | − | 0.363725i | \(-0.118495\pi\) |
−0.988571 | + | 0.150758i | \(0.951828\pi\) | |||||||
\(398\) | −8.40223 | − | 2.25137i | −0.421166 | − | 0.112851i | ||||
\(399\) | −8.78898 | + | 27.0497i | −0.439999 | + | 1.35418i | ||||
\(400\) | −1.83245 | + | 4.65211i | −0.0916223 | + | 0.232606i | ||||
\(401\) | −9.22720 | − | 12.7002i | −0.460784 | − | 0.634215i | 0.513887 | − | 0.857858i | \(-0.328205\pi\) |
−0.974671 | + | 0.223643i | \(0.928205\pi\) | |||||||
\(402\) | 6.54674 | + | 6.54674i | 0.326522 | + | 0.326522i | ||||
\(403\) | −3.26511 | + | 6.10181i | −0.162647 | + | 0.303953i | ||||
\(404\) | − | 2.38569i | − | 0.118693i | ||||||
\(405\) | −1.17664 | + | 1.90145i | −0.0584676 | + | 0.0944840i | ||||
\(406\) | −0.921660 | − | 2.07008i | −0.0457412 | − | 0.102737i | ||||
\(407\) | 7.57167 | + | 14.8602i | 0.375314 | + | 0.736594i | ||||
\(408\) | 0.913754 | − | 3.41018i | 0.0452376 | − | 0.168829i | ||||
\(409\) | 1.77585 | − | 3.07587i | 0.0878102 | − | 0.152092i | −0.818775 | − | 0.574115i | \(-0.805346\pi\) |
0.906585 | + | 0.422023i | \(0.138680\pi\) | |||||||
\(410\) | 8.75357 | − | 3.05695i | 0.432308 | − | 0.150972i | ||||
\(411\) | −2.05191 | − | 6.31513i | −0.101213 | − | 0.311502i | ||||
\(412\) | 1.00252 | + | 19.1292i | 0.0493905 | + | 0.942427i | ||||
\(413\) | −9.02096 | − | 23.5004i | −0.443892 | − | 1.15638i | ||||
\(414\) | 5.45199 | − | 1.15886i | 0.267951 | − | 0.0569547i | ||||
\(415\) | −23.3853 | − | 7.03802i | −1.14794 | − | 0.345483i | ||||
\(416\) | 1.23615 | + | 0.129924i | 0.0606070 | + | 0.00637006i | ||||
\(417\) | 11.7296 | − | 7.61730i | 0.574402 | − | 0.373021i | ||||
\(418\) | −24.1342 | + | 3.82248i | −1.18044 | + | 0.186964i | ||||
\(419\) | −4.66931 | + | 6.42675i | −0.228111 | + | 0.313967i | −0.907695 | − | 0.419630i | \(-0.862160\pi\) |
0.679585 | + | 0.733597i | \(0.262160\pi\) | |||||||
\(420\) | 8.48549 | − | 1.53448i | 0.414049 | − | 0.0748751i | ||||
\(421\) | −1.36227 | + | 12.9611i | −0.0663929 | + | 0.631686i | 0.909840 | + | 0.414960i | \(0.136204\pi\) |
−0.976233 | + | 0.216726i | \(0.930462\pi\) | |||||||
\(422\) | 9.48245 | + | 7.67874i | 0.461599 | + | 0.373795i | ||||
\(423\) | 7.78667 | + | 5.05672i | 0.378601 | + | 0.245866i | ||||
\(424\) | 10.7610 | + | 4.79111i | 0.522601 | + | 0.232677i | ||||
\(425\) | 11.9256 | − | 13.0148i | 0.578476 | − | 0.631313i | ||||
\(426\) | 3.56762 | − | 1.15919i | 0.172852 | − | 0.0561630i | ||||
\(427\) | −0.0375475 | + | 0.716448i | −0.00181705 | + | 0.0346714i | ||||
\(428\) | −11.5728 | + | 3.10091i | −0.559390 | + | 0.149888i | ||||
\(429\) | 2.05903 | + | 3.56634i | 0.0994108 | + | 0.172184i | ||||
\(430\) | 6.06945 | − | 0.451078i | 0.292695 | − | 0.0217529i | ||||
\(431\) | 3.58008 | − | 1.59395i | 0.172446 | − | 0.0767781i | −0.318698 | − | 0.947856i | \(-0.603245\pi\) |
0.491144 | + | 0.871078i | \(0.336579\pi\) | |||||||
\(432\) | 0.987688 | + | 0.156434i | 0.0475202 | + | 0.00752646i | ||||
\(433\) | −18.6065 | + | 18.6065i | −0.894170 | + | 0.894170i | −0.994913 | − | 0.100743i | \(-0.967878\pi\) |
0.100743 | + | 0.994913i | \(0.467878\pi\) | |||||||
\(434\) | 21.0877 | − | 4.04120i | 1.01224 | − | 0.193984i | ||||
\(435\) | 0.508093 | − | 1.21169i | 0.0243612 | − | 0.0580959i | ||||
\(436\) | −14.7139 | + | 10.6903i | −0.704668 | + | 0.511972i | ||||
\(437\) | 38.3777 | + | 14.7318i | 1.83585 | + | 0.704718i | ||||
\(438\) | 13.6142 | − | 6.93676i | 0.650510 | − | 0.331451i | ||||
\(439\) | 16.2101 | − | 9.35893i | 0.773668 | − | 0.446677i | −0.0605137 | − | 0.998167i | \(-0.519274\pi\) |
0.834181 | + | 0.551490i | \(0.185941\pi\) | |||||||
\(440\) | 4.48427 | + | 5.89703i | 0.213779 | + | 0.281130i | ||||
\(441\) | −5.26715 | − | 5.84976i | −0.250817 | − | 0.278560i | ||||
\(442\) | −3.90993 | − | 1.99221i | −0.185977 | − | 0.0947598i | ||||
\(443\) | −26.5833 | + | 1.39317i | −1.26301 | + | 0.0661916i | −0.672048 | − | 0.740507i | \(-0.734585\pi\) |
−0.590963 | + | 0.806699i | \(0.701252\pi\) | |||||||
\(444\) | 2.04749 | − | 4.59873i | 0.0971695 | − | 0.218246i | ||||
\(445\) | 15.2051 | − | 10.3529i | 0.720790 | − | 0.490775i | ||||
\(446\) | −7.00474 | + | 0.736228i | −0.331684 | + | 0.0348614i | ||||
\(447\) | 5.60494 | − | 4.53879i | 0.265105 | − | 0.214677i | ||||
\(448\) | −2.10033 | − | 3.23423i | −0.0992314 | − | 0.152803i | ||||
\(449\) | 13.5019 | + | 9.80973i | 0.637196 | + | 0.462950i | 0.858886 | − | 0.512167i | \(-0.171157\pi\) |
−0.221690 | + | 0.975117i | \(0.571157\pi\) | |||||||
\(450\) | 4.01932 | + | 2.97406i | 0.189473 | + | 0.140199i | ||||
\(451\) | 2.85630 | − | 13.4378i | 0.134498 | − | 0.632763i | ||||
\(452\) | −10.0858 | − | 12.4549i | −0.474396 | − | 0.585830i | ||||
\(453\) | 14.3777 | − | 17.7550i | 0.675524 | − | 0.834202i | ||||
\(454\) | 3.26314 | + | 15.3519i | 0.153147 | + | 0.720498i | ||||
\(455\) | 0.327246 | − | 10.7132i | 0.0153415 | − | 0.502240i | ||||
\(456\) | 5.48088 | + | 4.93501i | 0.256666 | + | 0.231103i | ||||
\(457\) | −8.59064 | + | 16.8601i | −0.401853 | + | 0.788681i | −0.999919 | − | 0.0127662i | \(-0.995936\pi\) |
0.598065 | + | 0.801447i | \(0.295936\pi\) | |||||||
\(458\) | −4.98125 | − | 0.261056i | −0.232758 | − | 0.0121983i | ||||
\(459\) | −3.05748 | − | 1.76524i | −0.142711 | − | 0.0823942i | ||||
\(460\) | −1.57295 | − | 12.3637i | −0.0733390 | − | 0.576461i | ||||
\(461\) | 14.0955 | + | 4.57989i | 0.656491 | + | 0.213307i | 0.618274 | − | 0.785963i | \(-0.287832\pi\) |
0.0382170 | + | 0.999269i | \(0.487832\pi\) | |||||||
\(462\) | 4.57873 | − | 11.9280i | 0.213022 | − | 0.554941i | ||||
\(463\) | 2.09316 | − | 13.2157i | 0.0972773 | − | 0.614185i | −0.890096 | − | 0.455773i | \(-0.849363\pi\) |
0.987373 | − | 0.158412i | \(-0.0506373\pi\) | |||||||
\(464\) | −0.587595 | −0.0272784 | ||||||||
\(465\) | 10.0848 | + | 7.30047i | 0.467671 | + | 0.338551i | ||||
\(466\) | −29.0667 | −1.34649 | ||||||||
\(467\) | 2.01204 | − | 12.7036i | 0.0931063 | − | 0.587850i | −0.896387 | − | 0.443272i | \(-0.853818\pi\) |
0.989493 | − | 0.144578i | \(-0.0461825\pi\) | |||||||
\(468\) | 0.445435 | − | 1.16040i | 0.0205903 | − | 0.0536394i | ||||
\(469\) | −33.9567 | − | 11.0332i | −1.56797 | − | 0.509466i | ||||
\(470\) | 12.7101 | − | 16.4155i | 0.586271 | − | 0.757190i | ||||
\(471\) | 12.3497 | + | 7.13011i | 0.569045 | + | 0.328538i | ||||
\(472\) | −6.51852 | − | 0.341621i | −0.300039 | − | 0.0157244i | ||||
\(473\) | 4.09396 | − | 8.03485i | 0.188241 | − | 0.369443i | ||||
\(474\) | 5.71929 | + | 5.14967i | 0.262696 | + | 0.236532i | ||||
\(475\) | 12.9148 | + | 34.5408i | 0.592571 | + | 1.58484i | ||||
\(476\) | 2.83068 | + | 13.3173i | 0.129744 | + | 0.610398i | ||||
\(477\) | 7.41301 | − | 9.15431i | 0.339419 | − | 0.419147i | ||||
\(478\) | 16.7526 | + | 20.6877i | 0.766246 | + | 0.946235i | ||||
\(479\) | −3.40744 | + | 16.0307i | −0.155690 | + | 0.732463i | 0.829154 | + | 0.559020i | \(0.188823\pi\) |
−0.984844 | + | 0.173443i | \(0.944511\pi\) | |||||||
\(480\) | 0.531468 | − | 2.17199i | 0.0242581 | − | 0.0991373i | ||||
\(481\) | −5.06199 | − | 3.67775i | −0.230807 | − | 0.167691i | ||||
\(482\) | 6.48411 | + | 9.98465i | 0.295343 | + | 0.454788i | ||||
\(483\) | −16.7045 | + | 13.5270i | −0.760079 | + | 0.615500i | ||||
\(484\) | −0.0231397 | + | 0.00243208i | −0.00105181 | + | 0.000110549i | ||||
\(485\) | −0.816969 | + | 4.30325i | −0.0370966 | + | 0.195401i | ||||
\(486\) | 0.406737 | − | 0.913545i | 0.0184499 | − | 0.0414393i | ||||
\(487\) | 27.0234 | − | 1.41623i | 1.22455 | − | 0.0641757i | 0.570928 | − | 0.821000i | \(-0.306584\pi\) |
0.653618 | + | 0.756825i | \(0.273250\pi\) | |||||||
\(488\) | 0.165761 | + | 0.0844594i | 0.00750364 | + | 0.00382330i | ||||
\(489\) | −0.863137 | − | 0.958611i | −0.0390324 | − | 0.0433499i | ||||
\(490\) | −14.0108 | + | 10.6542i | −0.632942 | + | 0.481307i | ||||
\(491\) | −21.5508 | + | 12.4423i | −0.972572 | + | 0.561515i | −0.900019 | − | 0.435850i | \(-0.856448\pi\) |
−0.0725524 | + | 0.997365i | \(0.523114\pi\) | |||||||
\(492\) | −3.69461 | + | 1.88250i | −0.166566 | + | 0.0848697i | ||||
\(493\) | 1.93670 | + | 0.743431i | 0.0872247 | + | 0.0334824i | ||||
\(494\) | 7.41634 | − | 5.38829i | 0.333677 | − | 0.242431i | ||||
\(495\) | 6.85671 | − | 2.80521i | 0.308186 | − | 0.126085i | ||||
\(496\) | 1.26681 | − | 5.42173i | 0.0568815 | − | 0.243443i | ||||
\(497\) | −10.2291 | + | 10.2291i | −0.458837 | + | 0.458837i | ||||
\(498\) | 10.7871 | + | 1.70852i | 0.483383 | + | 0.0765604i | ||||
\(499\) | −21.6902 | + | 9.65708i | −0.970985 | + | 0.432310i | −0.830038 | − | 0.557707i | \(-0.811681\pi\) |
−0.140947 | + | 0.990017i | \(0.545015\pi\) | |||||||
\(500\) | 7.37155 | − | 8.40597i | 0.329666 | − | 0.375926i | ||||
\(501\) | 1.57483 | + | 2.72768i | 0.0703582 | + | 0.121864i | ||||
\(502\) | 21.7794 | − | 5.83578i | 0.972064 | − | 0.260464i | ||||
\(503\) | 0.0407095 | − | 0.776783i | 0.00181515 | − | 0.0346350i | −0.997572 | − | 0.0696456i | \(-0.977813\pi\) |
0.999387 | + | 0.0350106i | \(0.0111465\pi\) | |||||||
\(504\) | −3.66763 | + | 1.19169i | −0.163369 | + | 0.0530819i | ||||
\(505\) | −1.80261 | + | 5.02078i | −0.0802150 | + | 0.223422i | ||||
\(506\) | −16.8701 | − | 7.51104i | −0.749967 | − | 0.333907i | ||||
\(507\) | 9.60702 | + | 6.23887i | 0.426663 | + | 0.277078i | ||||
\(508\) | −10.8914 | − | 8.81969i | −0.483228 | − | 0.391310i | ||||
\(509\) | 0.151662 | − | 1.44296i | 0.00672229 | − | 0.0639583i | −0.990646 | − | 0.136454i | \(-0.956430\pi\) |
0.997369 | + | 0.0724953i | \(0.0230962\pi\) | |||||||
\(510\) | −4.49973 | + | 6.48642i | −0.199251 | + | 0.287224i | ||||
\(511\) | −34.6344 | + | 47.6702i | −1.53214 | + | 2.10881i | ||||
\(512\) | −0.987688 | + | 0.156434i | −0.0436501 | + | 0.00691349i | ||||
\(513\) | 6.18540 | − | 4.01685i | 0.273092 | − | 0.177348i | ||||
\(514\) | 0.443180 | + | 0.0465801i | 0.0195478 | + | 0.00205456i | ||||
\(515\) | 12.3440 | − | 41.0156i | 0.543942 | − | 1.80736i | ||||
\(516\) | −2.66235 | + | 0.565899i | −0.117203 | + | 0.0249123i | ||||
\(517\) | −11.0237 | − | 28.7176i | −0.484820 | − | 1.26300i | ||||
\(518\) | 1.01599 | + | 19.3862i | 0.0446399 | + | 0.851779i | ||||
\(519\) | 4.01091 | + | 12.3443i | 0.176059 | + | 0.541855i | ||||
\(520\) | −2.50335 | − | 1.20745i | −0.109779 | − | 0.0529502i | ||||
\(521\) | 8.46618 | − | 14.6639i | 0.370910 | − | 0.642435i | −0.618796 | − | 0.785552i | \(-0.712379\pi\) |
0.989706 | + | 0.143117i | \(0.0457124\pi\) | |||||||
\(522\) | −0.152081 | + | 0.567574i | −0.00665640 | + | 0.0248420i | ||||
\(523\) | −4.09714 | − | 8.04108i | −0.179155 | − | 0.351612i | 0.783912 | − | 0.620871i | \(-0.213221\pi\) |
−0.963068 | + | 0.269259i | \(0.913221\pi\) | |||||||
\(524\) | −5.99699 | − | 13.4695i | −0.261980 | − | 0.588416i | ||||
\(525\) | −19.0175 | − | 3.18218i | −0.829991 | − | 0.138882i | ||||
\(526\) | 3.68031i | 0.160469i | ||||||||
\(527\) | −11.0350 | + | 16.2671i | −0.480693 | + | 0.708608i | ||||
\(528\) | −2.34273 | − | 2.34273i | −0.101954 | − | 0.101954i | ||||
\(529\) | 4.74173 | + | 6.52644i | 0.206162 | + | 0.283758i | ||||
\(530\) | −19.0268 | − | 18.2140i | −0.826473 | − | 0.791166i | ||||
\(531\) | −2.01710 | + | 6.20799i | −0.0875345 | + | 0.269404i | ||||
\(532\) | −27.4726 | − | 7.36126i | −1.19109 | − | 0.319151i | ||||
\(533\) | 1.33395 | + | 4.97837i | 0.0577798 | + | 0.215637i | ||||
\(534\) | −6.11349 | + | 5.50461i | −0.264556 | + | 0.238208i | ||||
\(535\) | 26.6983 | + | 2.21828i | 1.15427 | + | 0.0959048i | ||||
\(536\) | −6.19514 | + | 6.88040i | −0.267589 | + | 0.297188i | ||||
\(537\) | −9.19706 | + | 3.53042i | −0.396882 | + | 0.152349i | ||||
\(538\) | −0.703994 | + | 1.08406i | −0.0303513 | + | 0.0467369i | ||||
\(539\) | 2.72606 | + | 25.9368i | 0.117420 | + | 1.11718i | ||||
\(540\) | −1.96043 | − | 1.07551i | −0.0843634 | − | 0.0462826i | ||||
\(541\) | 20.2096 | + | 4.29569i | 0.868880 | + | 0.184686i | 0.620719 | − | 0.784033i | \(-0.286841\pi\) |
0.248161 | + | 0.968719i | \(0.420174\pi\) | |||||||
\(542\) | 4.49694 | + | 28.3926i | 0.193160 | + | 1.21957i | ||||
\(543\) | −1.12027 | − | 7.07313i | −0.0480756 | − | 0.303537i | ||||
\(544\) | 3.45332 | + | 0.734027i | 0.148060 | + | 0.0314711i | ||||
\(545\) | 39.0435 | − | 11.3804i | 1.67244 | − | 0.487483i | ||||
\(546\) | 0.501036 | + | 4.76704i | 0.0214424 | + | 0.204011i | ||||
\(547\) | −7.58265 | + | 11.6762i | −0.324210 | + | 0.499240i | −0.962766 | − | 0.270335i | \(-0.912865\pi\) |
0.638556 | + | 0.769576i | \(0.279532\pi\) | |||||||
\(548\) | 6.19909 | − | 2.37961i | 0.264812 | − | 0.101652i | ||||
\(549\) | 0.124484 | − | 0.138253i | 0.00531283 | − | 0.00590049i | ||||
\(550\) | −4.98157 | − | 15.7988i | −0.212415 | − | 0.673663i | ||||
\(551\) | −3.22054 | + | 2.89979i | −0.137200 | + | 0.123535i | ||||
\(552\) | 1.44260 | + | 5.38387i | 0.0614012 | + | 0.229153i | ||||
\(553\) | −28.6676 | − | 7.68146i | −1.21907 | − | 0.326649i | ||||
\(554\) | 3.85974 | − | 11.8791i | 0.163985 | − | 0.504692i | ||||
\(555\) | −7.78378 | + | 8.13115i | −0.330403 | + | 0.345148i | ||||
\(556\) | 8.22074 | + | 11.3149i | 0.348637 | + | 0.479858i | ||||
\(557\) | −18.5998 | − | 18.5998i | −0.788100 | − | 0.788100i | 0.193082 | − | 0.981183i | \(-0.438152\pi\) |
−0.981183 | + | 0.193082i | \(0.938152\pi\) | |||||||
\(558\) | −4.90912 | − | 2.62689i | −0.207819 | − | 0.111205i | ||||
\(559\) | 3.38311i | 0.143090i | ||||||||
\(560\) | 1.97648 | + | 8.39355i | 0.0835214 | + | 0.354692i | ||||
\(561\) | 4.75754 | + | 10.6856i | 0.200864 | + | 0.451147i | ||||
\(562\) | 4.02426 | + | 7.89806i | 0.169753 | + | 0.333160i | ||||
\(563\) | 6.47884 | − | 24.1793i | 0.273050 | − | 1.01904i | −0.684086 | − | 0.729401i | \(-0.739799\pi\) |
0.957137 | − | 0.289637i | \(-0.0935345\pi\) | |||||||
\(564\) | −4.64227 | + | 8.04065i | −0.195475 | + | 0.338572i | ||||
\(565\) | 11.8151 | + | 33.8326i | 0.497066 | + | 1.42335i | ||||
\(566\) | 8.15059 | + | 25.0849i | 0.342595 | + | 1.05440i | ||||
\(567\) | 0.201827 | + | 3.85109i | 0.00847594 | + | 0.161731i | ||||
\(568\) | 1.34432 | + | 3.50206i | 0.0564063 | + | 0.146943i | ||||
\(569\) | −10.5273 | + | 2.23765i | −0.441328 | + | 0.0938072i | −0.423216 | − | 0.906029i | \(-0.639099\pi\) |
−0.0181120 | + | 0.999836i | \(0.505766\pi\) | |||||||
\(570\) | −7.80587 | − | 14.5272i | −0.326952 | − | 0.608478i | ||||
\(571\) | 27.9580 | + | 2.93851i | 1.17001 | + | 0.122973i | 0.669536 | − | 0.742780i | \(-0.266493\pi\) |
0.500472 | + | 0.865753i | \(0.333160\pi\) | |||||||
\(572\) | −3.45369 | + | 2.24285i | −0.144406 | + | 0.0937784i | ||||
\(573\) | 3.76243 | − | 0.595911i | 0.157178 | − | 0.0248945i | ||||
\(574\) | 9.39910 | − | 12.9367i | 0.392311 | − | 0.539969i | ||||
\(575\) | −6.03159 | + | 27.2084i | −0.251535 | + | 1.13467i | ||||
\(576\) | −0.104528 | + | 0.994522i | −0.00435535 | + | 0.0414384i | ||||
\(577\) | −14.7730 | − | 11.9629i | −0.615008 | − | 0.498024i | 0.270455 | − | 0.962733i | \(-0.412826\pi\) |
−0.885464 | + | 0.464709i | \(0.846159\pi\) | |||||||
\(578\) | 3.80400 | + | 2.47035i | 0.158226 | + | 0.102753i | ||||
\(579\) | −19.3585 | − | 8.61898i | −0.804514 | − | 0.358193i | ||||
\(580\) | 1.23662 | + | 0.443982i | 0.0513477 | + | 0.0184353i | ||||
\(581\) | −40.0564 | + | 13.0151i | −1.66182 | + | 0.539958i | ||||
\(582\) | 0.102518 | − | 1.95616i | 0.00424952 | − | 0.0810856i | ||||
\(583\) | −37.6967 | + | 10.1008i | −1.56124 | + | 0.418332i | ||||
\(584\) | 7.63977 | + | 13.2325i | 0.316136 | + | 0.547563i | ||||
\(585\) | −1.81422 | + | 2.10554i | −0.0750089 | + | 0.0870532i | ||||
\(586\) | 15.2381 | − | 6.78445i | 0.629481 | − | 0.280263i | ||||
\(587\) | 17.3205 | + | 2.74329i | 0.714892 | + | 0.113228i | 0.503277 | − | 0.864125i | \(-0.332128\pi\) |
0.211615 | + | 0.977353i | \(0.432128\pi\) | |||||||
\(588\) | 5.56608 | − | 5.56608i | 0.229541 | − | 0.229541i | ||||
\(589\) | −19.8130 | − | 35.9676i | −0.816382 | − | 1.48202i | ||||
\(590\) | 13.4603 | + | 5.64429i | 0.554154 | + | 0.232372i | ||||
\(591\) | 13.7345 | − | 9.97872i | 0.564963 | − | 0.410470i | ||||
\(592\) | 4.69959 | + | 1.80400i | 0.193152 | + | 0.0741441i | ||||
\(593\) | −33.4692 | + | 17.0534i | −1.37442 | + | 0.700300i | −0.976176 | − | 0.216980i | \(-0.930379\pi\) |
−0.398241 | + | 0.917281i | \(0.630379\pi\) | |||||||
\(594\) | −2.86924 | + | 1.65656i | −0.117726 | + | 0.0679694i | ||||
\(595\) | 4.10516 | − | 30.1656i | 0.168295 | − | 1.23667i | ||||
\(596\) | 4.82591 | + | 5.35972i | 0.197677 | + | 0.219543i | ||||
\(597\) | −7.75054 | − | 3.94910i | −0.317208 | − | 0.161626i | ||||
\(598\) | 6.91847 | − | 0.362582i | 0.282917 | − | 0.0148271i | ||||
\(599\) | −5.94542 | + | 13.3536i | −0.242923 | + | 0.545615i | −0.993323 | − | 0.115370i | \(-0.963195\pi\) |
0.750399 | + | 0.660985i | \(0.229861\pi\) | |||||||
\(600\) | −2.75963 | + | 4.16947i | −0.112661 | + | 0.170218i | ||||
\(601\) | −1.31337 | + | 0.138041i | −0.0535735 | + | 0.00563080i | −0.131277 | − | 0.991346i | \(-0.541908\pi\) |
0.0777038 | + | 0.996976i | \(0.475241\pi\) | |||||||
\(602\) | 8.15722 | − | 6.60559i | 0.332464 | − | 0.269224i | ||||
\(603\) | 5.04253 | + | 7.76482i | 0.205348 | + | 0.316208i | ||||
\(604\) | 18.4831 | + | 13.4288i | 0.752068 | + | 0.546409i | ||||
\(605\) | 0.0505361 | + | 0.0123658i | 0.00205459 | + | 0.000502740i | ||||
\(606\) | 0.496013 | − | 2.33356i | 0.0201492 | − | 0.0947944i | ||||
\(607\) | 16.2268 | + | 20.0384i | 0.658625 | + | 0.813335i | 0.991565 | − | 0.129614i | \(-0.0413737\pi\) |
−0.332939 | + | 0.942948i | \(0.608040\pi\) | |||||||
\(608\) | −4.64139 | + | 5.73165i | −0.188233 | + | 0.232449i | ||||
\(609\) | −0.471125 | − | 2.21647i | −0.0190910 | − | 0.0898159i | ||||
\(610\) | −0.285033 | − | 0.302995i | −0.0115407 | − | 0.0122679i | ||||
\(611\) | 8.57609 | + | 7.72195i | 0.346952 | + | 0.312397i | ||||
\(612\) | 1.60280 | − | 3.14568i | 0.0647894 | − | 0.127156i | ||||
\(613\) | 15.0200 | + | 0.787163i | 0.606650 | + | 0.0317932i | 0.353189 | − | 0.935552i | \(-0.385097\pi\) |
0.253462 | + | 0.967345i | \(0.418431\pi\) | |||||||
\(614\) | −10.7008 | − | 6.17811i | −0.431849 | − | 0.249328i | ||||
\(615\) | 9.19786 | − | 1.17018i | 0.370893 | − | 0.0471861i | ||||
\(616\) | 12.1513 | + | 3.94819i | 0.489589 | + | 0.159077i | ||||
\(617\) | −0.791875 | + | 2.06291i | −0.0318797 | + | 0.0830495i | −0.948596 | − | 0.316489i | \(-0.897496\pi\) |
0.916717 | + | 0.399538i | \(0.130829\pi\) | |||||||
\(618\) | −2.99657 | + | 18.9196i | −0.120540 | + | 0.761058i | ||||
\(619\) | 5.36103 | 0.215478 | 0.107739 | − | 0.994179i | \(-0.465639\pi\) | ||||
0.107739 | + | 0.994179i | \(0.465639\pi\) | |||||||
\(620\) | −6.76267 | + | 10.4531i | −0.271595 | + | 0.419805i | ||||
\(621\) | 5.57379 | 0.223668 | ||||||||
\(622\) | 3.90361 | − | 24.6464i | 0.156521 | − | 0.988232i | ||||
\(623\) | 11.3690 | − | 29.6174i | 0.455491 | − | 1.18660i | ||||
\(624\) | 1.18212 | + | 0.384094i | 0.0473227 | + | 0.0153761i | ||||
\(625\) | −21.8652 | + | 12.1208i | −0.874607 | + | 0.484832i | ||||
\(626\) | −11.1966 | − | 6.46437i | −0.447507 | − | 0.258368i | ||||
\(627\) | −24.4016 | − | 1.27883i | −0.974505 | − | 0.0510716i | ||||
\(628\) | −6.47400 | + | 12.7059i | −0.258341 | + | 0.507022i | ||||
\(629\) | −13.2073 | − | 11.8919i | −0.526610 | − | 0.474162i | ||||
\(630\) | 8.61910 | + | 0.263281i | 0.343393 | + | 0.0104894i | ||||
\(631\) | −2.09857 | − | 9.87299i | −0.0835427 | − | 0.393038i | 0.916432 | − | 0.400191i | \(-0.131056\pi\) |
−0.999974 | + | 0.00715351i | \(0.997723\pi\) | |||||||
\(632\) | −4.84329 | + | 5.98096i | −0.192656 | + | 0.237910i | ||||
\(633\) | 7.67874 | + | 9.48245i | 0.305202 | + | 0.376894i | ||||
\(634\) | 0.223387 | − | 1.05095i | 0.00887183 | − | 0.0417387i | ||||
\(635\) | 16.2573 | + | 26.7908i | 0.645152 | + | 1.06316i | ||||
\(636\) | 9.52973 | + | 6.92376i | 0.377878 | + | 0.274545i | ||||
\(637\) | −5.32879 | − | 8.20562i | −0.211135 | − | 0.325119i | ||||
\(638\) | 1.51293 | − | 1.22514i | 0.0598973 | − | 0.0485039i | ||||
\(639\) | 3.73067 | − | 0.392109i | 0.147583 | − | 0.0155116i | ||||
\(640\) | 2.19683 | + | 0.417066i | 0.0868373 | + | 0.0164860i | ||||
\(641\) | 11.7626 | − | 26.4192i | 0.464594 | − | 1.04350i | −0.517599 | − | 0.855623i | \(-0.673174\pi\) |
0.982193 | − | 0.187873i | \(-0.0601592\pi\) | |||||||
\(642\) | −11.9646 | + | 0.627037i | −0.472204 | + | 0.0247472i | ||||
\(643\) | 6.14907 | + | 3.13311i | 0.242496 | + | 0.123558i | 0.571015 | − | 0.820939i | \(-0.306550\pi\) |
−0.328520 | + | 0.944497i | \(0.606550\pi\) | |||||||
\(644\) | −14.3827 | − | 15.9736i | −0.566758 | − | 0.629449i | ||||
\(645\) | 6.03060 | + | 0.820689i | 0.237455 | + | 0.0323146i | ||||
\(646\) | 22.5497 | − | 13.0191i | 0.887205 | − | 0.512228i | ||||
\(647\) | −6.73712 | + | 3.43274i | −0.264864 | + | 0.134955i | −0.581380 | − | 0.813632i | \(-0.697487\pi\) |
0.316516 | + | 0.948587i | \(0.397487\pi\) | |||||||
\(648\) | 0.933580 | + | 0.358368i | 0.0366745 | + | 0.0140780i | ||||
\(649\) | 17.4960 | − | 12.7116i | 0.686778 | − | 0.498973i | ||||
\(650\) | 4.35605 | + | 4.43263i | 0.170858 | + | 0.173862i | ||||
\(651\) | 21.4671 | + | 0.431479i | 0.841360 | + | 0.0169110i | ||||
\(652\) | 0.912124 | − | 0.912124i | 0.0357215 | − | 0.0357215i | ||||
\(653\) | 42.5038 | + | 6.73194i | 1.66330 | + | 0.263441i | 0.916040 | − | 0.401087i | \(-0.131367\pi\) |
0.747263 | + | 0.664528i | \(0.231367\pi\) | |||||||
\(654\) | −16.6150 | + | 7.39748i | −0.649698 | + | 0.289264i | ||||
\(655\) | 2.44349 | + | 32.8783i | 0.0954752 | + | 1.28466i | ||||
\(656\) | −2.07328 | − | 3.59103i | −0.0809480 | − | 0.140206i | ||||
\(657\) | 14.7589 | − | 3.95463i | 0.575799 | − | 0.154285i | ||||
\(658\) | 1.87387 | − | 35.7556i | 0.0730511 | − | 1.39390i | ||||
\(659\) | −42.8282 | + | 13.9157i | −1.66835 | + | 0.542080i | −0.982597 | − | 0.185752i | \(-0.940528\pi\) |
−0.685755 | + | 0.727832i | \(0.740528\pi\) | |||||||
\(660\) | 3.16021 | + | 6.70050i | 0.123011 | + | 0.260817i | ||||
\(661\) | 8.74756 | + | 3.89466i | 0.340241 | + | 0.151485i | 0.569742 | − | 0.821823i | \(-0.307043\pi\) |
−0.229502 | + | 0.973308i | \(0.573710\pi\) | |||||||
\(662\) | 7.53584 | + | 4.89383i | 0.292889 | + | 0.190204i | ||||
\(663\) | −3.41029 | − | 2.76160i | −0.132445 | − | 0.107252i | ||||
\(664\) | −1.14162 | + | 10.8618i | −0.0443034 | + | 0.421519i | ||||
\(665\) | 52.2550 | + | 36.2501i | 2.02636 | + | 1.40572i | ||||
\(666\) | 2.95888 | − | 4.07254i | 0.114654 | − | 0.157808i | ||||
\(667\) | −3.23481 | + | 0.512344i | −0.125252 | + | 0.0198380i | ||||
\(668\) | −2.64153 | + | 1.71543i | −0.102204 | + | 0.0663719i | ||||
\(669\) | −7.00474 | − | 0.736228i | −0.270819 | − | 0.0284642i | ||||
\(670\) | 18.2367 | − | 9.79907i | 0.704544 | − | 0.378571i | ||||
\(671\) | −0.602896 | + | 0.128149i | −0.0232745 | + | 0.00494715i | ||||
\(672\) | −1.38200 | − | 3.60024i | −0.0533119 | − | 0.138882i | ||||
\(673\) | 1.91169 | + | 36.4771i | 0.0736900 | + | 1.40609i | 0.746062 | + | 0.665876i | \(0.231942\pi\) |
−0.672372 | + | 0.740213i | \(0.734724\pi\) | |||||||
\(674\) | −5.70408 | − | 17.5554i | −0.219713 | − | 0.676207i | ||||
\(675\) | 3.31315 | + | 3.74474i | 0.127523 | + | 0.144135i | ||||
\(676\) | −5.72753 | + | 9.92038i | −0.220290 | + | 0.381553i | ||||
\(677\) | −7.25522 | + | 27.0769i | −0.278841 | + | 1.04065i | 0.674383 | + | 0.738382i | \(0.264410\pi\) |
−0.953223 | + | 0.302266i | \(0.902257\pi\) | |||||||
\(678\) | −7.27587 | − | 14.2797i | −0.279428 | − | 0.548409i | ||||
\(679\) | 3.07251 | + | 6.90097i | 0.117912 | + | 0.264835i | ||||
\(680\) | −6.71303 | − | 4.15409i | −0.257433 | − | 0.159302i | ||||
\(681\) | 15.6948i | 0.601427i | ||||||||
\(682\) | 8.04262 | + | 16.6011i | 0.307968 | + | 0.635687i | ||||
\(683\) | −29.4404 | − | 29.4404i | −1.12650 | − | 1.12650i | −0.990741 | − | 0.135763i | \(-0.956651\pi\) |
−0.135763 | − | 0.990741i | \(-0.543349\pi\) | |||||||
\(684\) | 4.33506 | + | 5.96670i | 0.165755 | + | 0.228143i | ||||
\(685\) | −14.8442 | + | 0.323999i | −0.567169 | + | 0.0123794i | ||||
\(686\) | −1.03871 | + | 3.19682i | −0.0396581 | + | 0.122055i | ||||
\(687\) | −4.81812 | − | 1.29101i | −0.183823 | − | 0.0492551i | ||||
\(688\) | −0.704460 | − | 2.62908i | −0.0268573 | − | 0.100233i | ||||
\(689\) | 10.8806 | − | 9.79692i | 0.414517 | − | 0.373233i | ||||
\(690\) | 1.03199 | − | 12.4206i | 0.0392871 | − | 0.472843i | ||||
\(691\) | 10.2382 | − | 11.3706i | 0.389478 | − | 0.432559i | −0.516237 | − | 0.856445i | \(-0.672668\pi\) |
0.905715 | + | 0.423887i | \(0.139334\pi\) | |||||||
\(692\) | −12.1175 | + | 4.65147i | −0.460638 | + | 0.176822i | ||||
\(693\) | 6.95864 | − | 10.7154i | 0.264337 | − | 0.407043i | ||||
\(694\) | 0.0490689 | + | 0.466860i | 0.00186263 | + | 0.0177218i | ||||
\(695\) | −8.75145 | − | 30.0241i | −0.331961 | − | 1.13888i | ||||
\(696\) | −0.574755 | − | 0.122168i | −0.0217860 | − | 0.00463076i | ||||
\(697\) | 2.29010 | + | 14.4591i | 0.0867436 | + | 0.547677i | ||||
\(698\) | 1.61477 | + | 10.1953i | 0.0611201 | + | 0.385897i | ||||
\(699\) | −28.4315 | − | 6.04330i | −1.07538 | − | 0.228579i | ||||
\(700\) | 2.18252 | − | 19.1580i | 0.0824915 | − | 0.724103i | ||||
\(701\) | 0.0172117 | + | 0.163759i | 0.000650079 | + | 0.00618508i | 0.994842 | − | 0.101435i | \(-0.0323435\pi\) |
−0.994192 | + | 0.107621i | \(0.965677\pi\) | |||||||
\(702\) | 0.676962 | − | 1.04243i | 0.0255503 | − | 0.0393440i | ||||
\(703\) | 34.6606 | − | 13.3050i | 1.30725 | − | 0.501807i | ||||
\(704\) | 2.21691 | − | 2.46212i | 0.0835528 | − | 0.0927948i | ||||
\(705\) | 15.8453 | − | 13.4142i | 0.596768 | − | 0.505208i | ||||
\(706\) | 16.8540 | − | 15.1754i | 0.634310 | − | 0.571135i | ||||
\(707\) | 2.38117 | + | 8.88664i | 0.0895530 | + | 0.334217i | ||||
\(708\) | −6.30504 | − | 1.68943i | −0.236958 | − | 0.0634927i | ||||
\(709\) | −10.9847 | + | 33.8076i | −0.412541 | + | 1.26967i | 0.501891 | + | 0.864931i | \(0.332638\pi\) |
−0.914432 | + | 0.404739i | \(0.867362\pi\) | |||||||
\(710\) | −0.183038 | − | 8.38598i | −0.00686928 | − | 0.314720i | ||||
\(711\) | 4.52363 | + | 6.22624i | 0.169649 | + | 0.233502i | ||||
\(712\) | −5.81702 | − | 5.81702i | −0.218002 | − | 0.218002i | ||||
\(713\) | 2.24662 | − | 30.9521i | 0.0841367 | − | 1.15917i | ||||
\(714\) | 13.6148i | 0.509522i | ||||||||
\(715\) | 8.96310 | − | 2.11059i | 0.335201 | − | 0.0789317i | ||||
\(716\) | −4.00692 | − | 8.99969i | −0.149746 | − | 0.336334i | ||||
\(717\) | 12.0853 | + | 23.7187i | 0.451333 | + | 0.885792i | ||||
\(718\) | 3.77734 | − | 14.0972i | 0.140969 | − | 0.526104i | ||||
\(719\) | −10.2532 | + | 17.7591i | −0.382381 | + | 0.662304i | −0.991402 | − | 0.130850i | \(-0.958229\pi\) |
0.609021 | + | 0.793154i | \(0.291563\pi\) | |||||||
\(720\) | 0.971436 | − | 2.01403i | 0.0362033 | − | 0.0750584i | ||||
\(721\) | −22.8273 | − | 70.2551i | −0.850132 | − | 2.61644i | ||||
\(722\) | 1.85239 | + | 35.3458i | 0.0689390 | + | 1.31543i | ||||
\(723\) | 4.26649 | + | 11.1146i | 0.158672 | + | 0.413356i | ||||
\(724\) | 7.00481 | − | 1.48892i | 0.260332 | − | 0.0553352i | ||||
\(725\) | −2.26704 | − | 1.86875i | −0.0841957 | − | 0.0694038i | ||||
\(726\) | −0.0231397 | − | 0.00243208i | −0.000858796 | − | 9.02631e-5i | ||||
\(727\) | −36.9499 | + | 23.9955i | −1.37040 | + | 0.889945i | −0.999254 | − | 0.0386307i | \(-0.987700\pi\) |
−0.371142 | + | 0.928576i | \(0.621034\pi\) | |||||||
\(728\) | −4.73429 | + | 0.749838i | −0.175464 | + | 0.0277908i | ||||
\(729\) | 0.587785 | − | 0.809017i | 0.0217698 | − | 0.0299636i | ||||
\(730\) | −6.07985 | − | 33.6208i | −0.225025 | − | 1.24436i | ||||
\(731\) | −1.00445 | + | 9.55669i | −0.0371509 | + | 0.353467i | ||||
\(732\) | 0.144579 | + | 0.117077i | 0.00534378 | + | 0.00432730i | ||||
\(733\) | 22.7975 | + | 14.8049i | 0.842045 | + | 0.546830i | 0.892059 | − | 0.451918i | \(-0.149260\pi\) |
−0.0500147 | + | 0.998748i | \(0.515927\pi\) | |||||||
\(734\) | −7.24310 | − | 3.22483i | −0.267348 | − | 0.119031i | ||||
\(735\) | −15.9197 | + | 7.50835i | −0.587208 | + | 0.276950i | ||||
\(736\) | −5.30099 | + | 1.72240i | −0.195397 | + | 0.0634883i | ||||
\(737\) | 1.60538 | − | 30.6324i | 0.0591348 | − | 1.12836i | ||||
\(738\) | −4.00527 | + | 1.07321i | −0.147436 | + | 0.0395054i | ||||
\(739\) | −18.1362 | − | 31.4128i | −0.667150 | − | 1.15554i | −0.978698 | − | 0.205307i | \(-0.934181\pi\) |
0.311548 | − | 0.950230i | \(-0.399153\pi\) | |||||||
\(740\) | −8.52738 | − | 7.34756i | −0.313473 | − | 0.270102i | ||||
\(741\) | 8.37457 | − | 3.72860i | 0.307647 | − | 0.136973i | ||||
\(742\) | −44.8665 | − | 7.10616i | −1.64710 | − | 0.260875i | ||||
\(743\) | 20.3456 | − | 20.3456i | 0.746407 | − | 0.746407i | −0.227395 | − | 0.973803i | \(-0.573021\pi\) |
0.973803 | + | 0.227395i | \(0.0730209\pi\) | |||||||
\(744\) | 2.36637 | − | 5.03987i | 0.0867554 | − | 0.184771i | ||||
\(745\) | −6.10656 | − | 14.9261i | −0.223727 | − | 0.546852i | ||||
\(746\) | −18.2643 | + | 13.2698i | −0.668703 | + | 0.485841i | ||||
\(747\) | 10.1962 | + | 3.91395i | 0.373059 | + | 0.143204i | ||||
\(748\) | −10.4220 | + | 5.31027i | −0.381066 | + | 0.194163i | ||||
\(749\) | 40.0132 | − | 23.1016i | 1.46205 | − | 0.844114i | ||||
\(750\) | 8.95816 | − | 6.68965i | 0.327106 | − | 0.244271i | ||||
\(751\) | 0.144182 | + | 0.160130i | 0.00526128 | + | 0.00584324i | 0.745770 | − | 0.666204i | \(-0.232082\pi\) |
−0.740508 | + | 0.672047i | \(0.765415\pi\) | |||||||
\(752\) | −8.27259 | − | 4.21509i | −0.301670 | − | 0.153709i | ||||
\(753\) | 22.5168 | − | 1.18006i | 0.820559 | − | 0.0430037i | ||||
\(754\) | −0.297062 | + | 0.667212i | −0.0108184 | + | 0.0242984i | ||||
\(755\) | −28.7518 | − | 42.2271i | −1.04638 | − | 1.53680i | ||||
\(756\) | −3.83525 | + | 0.403101i | −0.139487 | + | 0.0146606i | ||||
\(757\) | 19.6364 | − | 15.9012i | 0.713696 | − | 0.577940i | −0.202205 | − | 0.979343i | \(-0.564811\pi\) |
0.915901 | + | 0.401404i | \(0.131478\pi\) | |||||||
\(758\) | 11.4791 | + | 17.6763i | 0.416940 | + | 0.642031i | ||||
\(759\) | −14.9398 | − | 10.8544i | −0.542280 | − | 0.393990i | ||||
\(760\) | 14.0988 | − | 8.55547i | 0.511416 | − | 0.310340i | ||||
\(761\) | 5.70456 | − | 26.8378i | 0.206790 | − | 0.972871i | −0.745223 | − | 0.666815i | \(-0.767657\pi\) |
0.952013 | − | 0.306056i | \(-0.0990095\pi\) | |||||||
\(762\) | −8.81969 | − | 10.8914i | −0.319504 | − | 0.394554i | ||||
\(763\) | 44.1389 | − | 54.5070i | 1.59794 | − | 1.97329i | ||||
\(764\) | 0.792005 | + | 3.72609i | 0.0286537 | + | 0.134805i | ||||
\(765\) | −5.75000 | + | 5.40913i | −0.207892 | + | 0.195568i | ||||
\(766\) | −9.42456 | − | 8.48591i | −0.340523 | − | 0.306608i | ||||
\(767\) | −3.68338 | + | 7.22904i | −0.132999 | + | 0.261026i | ||||
\(768\) | −0.998630 | − | 0.0523360i | −0.0360349 | − | 0.00188851i | ||||
\(769\) | 16.0954 | + | 9.29270i | 0.580416 | + | 0.335103i | 0.761299 | − | 0.648401i | \(-0.224562\pi\) |
−0.180883 | + | 0.983505i | \(0.557895\pi\) | |||||||
\(770\) | −22.5896 | − | 17.4905i | −0.814074 | − | 0.630315i | ||||
\(771\) | 0.423811 | + | 0.137704i | 0.0152632 | + | 0.00495930i | ||||
\(772\) | 7.59402 | − | 19.7831i | 0.273315 | − | 0.712009i | ||||
\(773\) | 0.257819 | − | 1.62780i | 0.00927310 | − | 0.0585480i | −0.982618 | − | 0.185640i | \(-0.940564\pi\) |
0.991891 | + | 0.127092i | \(0.0405643\pi\) | |||||||
\(774\) | −2.72183 | −0.0978340 | ||||||||
\(775\) | 22.1305 | − | 16.8890i | 0.794952 | − | 0.606672i | ||||
\(776\) | 1.95885 | 0.0703185 | ||||||||
\(777\) | −3.03683 | + | 19.1738i | −0.108946 | + | 0.687855i | ||||
\(778\) | 5.87291 | − | 15.2994i | 0.210554 | − | 0.548512i | ||||
\(779\) | −29.0851 | − | 9.45034i | −1.04208 | − | 0.338593i | ||||
\(780\) | −2.19760 | − | 1.70154i | −0.0786867 | − | 0.0609249i | ||||
\(781\) | −10.7632 | − | 6.21411i | −0.385136 | − | 0.222358i | ||||
\(782\) | 19.6511 | + | 1.02987i | 0.702724 | + | 0.0368282i | ||||
\(783\) | −0.266763 | + | 0.523551i | −0.00953332 | + | 0.0187102i | ||||
\(784\) | 5.84976 | + | 5.26715i | 0.208920 | + | 0.188112i | ||||
\(785\) | 23.2253 | − | 21.8485i | 0.828946 | − | 0.779805i | ||||
\(786\) | −3.06548 | − | 14.4220i | −0.109342 | − | 0.514415i | ||||
\(787\) | 20.8866 | − | 25.7929i | 0.744528 | − | 0.919416i | −0.254333 | − | 0.967117i | \(-0.581856\pi\) |
0.998862 | + | 0.0477006i | \(0.0151893\pi\) | |||||||
\(788\) | 10.6839 | + | 13.1935i | 0.380596 | + | 0.469997i | ||||
\(789\) | −0.765180 | + | 3.59989i | −0.0272411 | + | 0.128160i | ||||
\(790\) | 14.7120 | − | 8.92762i | 0.523431 | − | 0.317631i | ||||
\(791\) | 50.0006 | + | 36.3276i | 1.77782 | + | 1.29166i | ||||
\(792\) | −1.80445 | − | 2.77861i | −0.0641184 | − | 0.0987337i | ||||
\(793\) | 0.179705 | − | 0.145522i | 0.00638150 | − | 0.00516763i | ||||
\(794\) | 4.36895 | − | 0.459195i | 0.155048 | − | 0.0162962i | ||||
\(795\) | −14.8242 | − | 21.7719i | −0.525759 | − | 0.772169i | ||||
\(796\) | 3.53805 | − | 7.94660i | 0.125403 | − | 0.281660i | ||||
\(797\) | −27.4713 | + | 1.43971i | −0.973084 | + | 0.0509972i | −0.532246 | − | 0.846590i | \(-0.678652\pi\) |
−0.440838 | + | 0.897587i | \(0.645319\pi\) | |||||||
\(798\) | −25.3418 | − | 12.9123i | −0.897089 | − | 0.457090i | ||||
\(799\) | 21.9333 | + | 24.3594i | 0.775945 | + | 0.861774i | ||||
\(800\) | −4.30818 | − | 2.53764i | −0.152317 | − | 0.0897190i | ||||
\(801\) | −7.12436 | + | 4.11325i | −0.251727 | + | 0.145335i | ||||
\(802\) | 13.9872 | − | 7.12686i | 0.493907 | − | 0.251658i | ||||
\(803\) | −47.2605 | − | 18.1416i | −1.66779 | − | 0.640204i | ||||
\(804\) | −7.49027 | + | 5.44200i | −0.264162 | + | 0.191925i | ||||
\(805\) | 18.1994 | + | 44.4845i | 0.641446 | + | 1.56787i | ||||
\(806\) | −5.51591 | − | 4.17945i | −0.194290 | − | 0.147215i | ||||
\(807\) | −0.913997 | + | 0.913997i | −0.0321742 | + | 0.0321742i | ||||
\(808\) | 2.35632 | + | 0.373205i | 0.0828951 | + | 0.0131293i | ||||
\(809\) | 31.9114 | − | 14.2078i | 1.12194 | − | 0.499521i | 0.239951 | − | 0.970785i | \(-0.422869\pi\) |
0.881992 | + | 0.471264i | \(0.156202\pi\) | |||||||
\(810\) | −1.69398 | − | 1.45960i | −0.0595203 | − | 0.0512853i | ||||
\(811\) | −18.5914 | − | 32.2012i | −0.652832 | − | 1.13074i | −0.982433 | − | 0.186618i | \(-0.940247\pi\) |
0.329601 | − | 0.944120i | \(-0.393086\pi\) | |||||||
\(812\) | 2.18878 | − | 0.586481i | 0.0768110 | − | 0.0205814i | ||||
\(813\) | −1.50447 | + | 28.7071i | −0.0527642 | + | 1.00680i | ||||
\(814\) | −15.8617 | + | 5.15379i | −0.555954 | + | 0.180640i | ||||
\(815\) | −2.60879 | + | 1.23041i | −0.0913820 | + | 0.0430993i | ||||
\(816\) | 3.22525 | + | 1.43597i | 0.112906 | + | 0.0502691i | ||||
\(817\) | −16.8356 | − | 10.9332i | −0.589003 | − | 0.382503i | ||||
\(818\) | 2.76019 | + | 2.23516i | 0.0965079 | + | 0.0781505i | ||||
\(819\) | −0.501036 | + | 4.76704i | −0.0175076 | + | 0.166574i | ||||
\(820\) | 1.64995 | + | 9.12401i | 0.0576188 | + | 0.318624i | ||||
\(821\) | −1.84057 | + | 2.53332i | −0.0642362 | + | 0.0884135i | −0.839926 | − | 0.542700i | \(-0.817402\pi\) |
0.775690 | + | 0.631114i | \(0.217402\pi\) | |||||||
\(822\) | 6.55837 | − | 1.03874i | 0.228749 | − | 0.0362304i | ||||
\(823\) | −44.4128 | + | 28.8420i | −1.54813 | + | 1.00537i | −0.564450 | + | 0.825467i | \(0.690912\pi\) |
−0.983684 | + | 0.179903i | \(0.942422\pi\) | |||||||
\(824\) | −19.0505 | − | 2.00229i | −0.663656 | − | 0.0697530i | ||||
\(825\) | −1.58796 | − | 16.4893i | −0.0552855 | − | 0.574083i | ||||
\(826\) | 24.6223 | − | 5.23362i | 0.856718 | − | 0.182101i | ||||
\(827\) | −17.6896 | − | 46.0830i | −0.615128 | − | 1.60246i | −0.786730 | − | 0.617297i | \(-0.788228\pi\) |
0.171602 | − | 0.985166i | \(-0.445106\pi\) | |||||||
\(828\) | 0.291710 | + | 5.56615i | 0.0101376 | + | 0.193437i | ||||
\(829\) | 7.05106 | + | 21.7009i | 0.244893 | + | 0.753705i | 0.995654 | + | 0.0931301i | \(0.0296873\pi\) |
−0.750760 | + | 0.660575i | \(0.770313\pi\) | |||||||
\(830\) | 10.6096 | − | 21.9964i | 0.368266 | − | 0.763507i | ||||
\(831\) | 6.24519 | − | 10.8170i | 0.216643 | − | 0.375237i | ||||
\(832\) | −0.321700 | + | 1.20060i | −0.0111530 | + | 0.0416234i | ||||
\(833\) | −12.6167 | − | 24.7616i | −0.437141 | − | 0.857938i | ||||
\(834\) | 5.68860 | + | 12.7768i | 0.196980 | + | 0.442425i | ||||
\(835\) | 6.85535 | − | 1.61427i | 0.237239 | − | 0.0558641i | ||||
\(836\) | − | 24.4351i | − | 0.845104i | ||||||
\(837\) | −4.25568 | − | 3.59015i | −0.147098 | − | 0.124094i | ||||
\(838\) | −5.61719 | − | 5.61719i | −0.194043 | − | 0.194043i | ||||
\(839\) | 16.3248 | + | 22.4691i | 0.563593 | + | 0.775720i | 0.991778 | − | 0.127972i | \(-0.0408466\pi\) |
−0.428184 | + | 0.903691i | \(0.640847\pi\) | |||||||
\(840\) | 0.188169 | + | 8.62106i | 0.00649244 | + | 0.297455i | ||||
\(841\) | −8.85480 | + | 27.2523i | −0.305338 | + | 0.939733i | ||||
\(842\) | −12.5884 | − | 3.37306i | −0.433826 | − | 0.116243i | ||||
\(843\) | 2.29422 | + | 8.56216i | 0.0790173 | + | 0.294897i | ||||
\(844\) | −9.06758 | + | 8.16449i | −0.312119 | + | 0.281033i | ||||
\(845\) | 19.5496 | − | 16.5501i | 0.672525 | − | 0.569342i | ||||
\(846\) | −6.21257 | + | 6.89976i | −0.213593 | + | 0.237219i | ||||
\(847\) | 0.0837674 | − | 0.0321553i | 0.00287828 | − | 0.00110487i | ||||
\(848\) | −6.41552 | + | 9.87903i | −0.220310 | + | 0.339247i | ||||
\(849\) | 2.75703 | + | 26.2314i | 0.0946210 | + | 0.900259i | ||||
\(850\) | 10.9890 | + | 13.8147i | 0.376921 | + | 0.473842i | ||||
\(851\) | 27.4450 | + | 5.83361i | 0.940802 | + | 0.199974i | ||||
\(852\) | 0.586820 | + | 3.70503i | 0.0201041 | + | 0.126932i | ||||
\(853\) | 4.08185 | + | 25.7718i | 0.139760 | + | 0.882409i | 0.953547 | + | 0.301246i | \(0.0974024\pi\) |
−0.813787 | + | 0.581164i | \(0.802598\pi\) | |||||||
\(854\) | −0.701754 | − | 0.149162i | −0.0240135 | − | 0.00510423i | ||||
\(855\) | −4.61492 | − | 15.8327i | −0.157827 | − | 0.541467i | ||||
\(856\) | −1.25236 | − | 11.9154i | −0.0428046 | − | 0.407259i | ||||
\(857\) | 6.89123 | − | 10.6116i | 0.235400 | − | 0.362484i | −0.701153 | − | 0.713011i | \(-0.747331\pi\) |
0.936553 | + | 0.350527i | \(0.113997\pi\) | |||||||
\(858\) | −3.84453 | + | 1.47578i | −0.131250 | + | 0.0503822i | ||||
\(859\) | 26.1575 | − | 29.0509i | 0.892483 | − | 0.991203i | −0.107512 | − | 0.994204i | \(-0.534289\pi\) |
0.999995 | + | 0.00300080i | \(0.000955184\pi\) | |||||||
\(860\) | −0.503947 | + | 6.06529i | −0.0171844 | + | 0.206825i | ||||
\(861\) | 11.8834 | − | 10.6999i | 0.404985 | − | 0.364651i | ||||
\(862\) | 1.01428 | + | 3.78535i | 0.0345466 | + | 0.128930i | ||||
\(863\) | 18.5141 | + | 4.96085i | 0.630228 | + | 0.168869i | 0.559773 | − | 0.828646i | \(-0.310888\pi\) |
0.0704551 | + | 0.997515i | \(0.477555\pi\) | |||||||
\(864\) | −0.309017 | + | 0.951057i | −0.0105130 | + | 0.0323556i | ||||
\(865\) | 29.0163 | − | 0.633328i | 0.986584 | − | 0.0215338i | ||||
\(866\) | −15.4667 | − | 21.2881i | −0.525580 | − | 0.723399i | ||||
\(867\) | 3.20726 | + | 3.20726i | 0.108924 | + | 0.108924i | ||||
\(868\) | 0.692611 | + | 21.4602i | 0.0235088 | + | 0.728407i | ||||
\(869\) | − | 25.4979i | − | 0.864958i | ||||||
\(870\) | 1.11728 | + | 0.691387i | 0.0378795 | + | 0.0234402i | ||||
\(871\) | 4.68068 | + | 10.5130i | 0.158599 | + | 0.356218i | ||||
\(872\) | −8.25690 | − | 16.2051i | −0.279614 | − | 0.548773i | ||||
\(873\) | 0.506987 | − | 1.89210i | 0.0171589 | − | 0.0640379i | ||||
\(874\) | −20.5540 | + | 35.6006i | −0.695251 | + | 1.20421i | ||||
\(875\) | −19.0688 | + | 38.6696i | −0.644642 | + | 1.30727i | ||||
\(876\) | 4.72164 | + | 14.5317i | 0.159529 | + | 0.490981i | ||||
\(877\) | 3.00100 | + | 57.2625i | 0.101337 | + | 1.93362i | 0.300751 | + | 0.953703i | \(0.402763\pi\) |
−0.199414 | + | 0.979915i | \(0.563904\pi\) | |||||||
\(878\) | 6.70788 | + | 17.4746i | 0.226380 | + | 0.589740i | ||||
\(879\) | 16.3157 | − | 3.46801i | 0.550315 | − | 0.116973i | ||||
\(880\) | −6.52592 | + | 3.50656i | −0.219989 | + | 0.118206i | ||||
\(881\) | 9.77766 | + | 1.02767i | 0.329418 | + | 0.0346232i | 0.267794 | − | 0.963476i | \(-0.413705\pi\) |
0.0616238 | + | 0.998099i | \(0.480372\pi\) | |||||||
\(882\) | 6.60170 | − | 4.28720i | 0.222291 | − | 0.144357i | ||||
\(883\) | −13.0940 | + | 2.07389i | −0.440649 | + | 0.0697919i | −0.372817 | − | 0.927905i | \(-0.621608\pi\) |
−0.0678318 | + | 0.997697i | \(0.521608\pi\) | |||||||
\(884\) | 2.57933 | − | 3.55015i | 0.0867523 | − | 0.119404i | ||||
\(885\) | 11.9927 | + | 8.31951i | 0.403130 | + | 0.279657i | ||||
\(886\) | 2.78253 | − | 26.4740i | 0.0934808 | − | 0.889410i | ||||
\(887\) | −44.3841 | − | 35.9415i | −1.49027 | − | 1.20680i | −0.923892 | − | 0.382653i | \(-0.875010\pi\) |
−0.566379 | − | 0.824145i | \(-0.691656\pi\) | |||||||
\(888\) | 4.22182 | + | 2.74168i | 0.141675 | + | 0.0920048i | ||||
\(889\) | 49.3732 | + | 21.9823i | 1.65592 | + | 0.737264i | ||||
\(890\) | 7.84685 | + | 16.6374i | 0.263027 | + | 0.557688i | ||||
\(891\) | −3.15096 | + | 1.02381i | −0.105561 | + | 0.0342989i | ||||
\(892\) | 0.368619 | − | 7.03367i | 0.0123423 | − | 0.235505i | ||||
\(893\) | −66.1426 | + | 17.7228i | −2.21338 | + | 0.593072i | ||||
\(894\) | 3.60611 | + | 6.24596i | 0.120606 | + | 0.208896i | ||||
\(895\) | 1.63263 | + | 21.9678i | 0.0545729 | + | 0.734302i | ||||
\(896\) | 3.52297 | − | 1.56853i | 0.117694 | − | 0.0524009i | ||||
\(897\) | 6.84267 | + | 1.08377i | 0.228470 | + | 0.0361861i | ||||
\(898\) | −11.8011 | + | 11.8011i | −0.393809 | + | 0.393809i | ||||
\(899\) | 2.79984 | + | 1.69240i | 0.0933798 | + | 0.0564448i | ||||
\(900\) | −3.56621 | + | 3.50459i | −0.118874 | + | 0.116820i | ||||
\(901\) | 33.6445 | − | 24.4441i | 1.12086 | − | 0.814352i | ||||
\(902\) | 12.8256 | + | 4.92327i | 0.427045 | + | 0.163927i | ||||
\(903\) | 9.35235 | − | 4.76526i | 0.311227 | − | 0.158578i | ||||
\(904\) | 13.8793 | − | 8.01324i | 0.461620 | − | 0.266517i | ||||
\(905\) | −15.8669 | − | 2.15929i | −0.527434 | − | 0.0717771i | ||||
\(906\) | 15.2872 | + | 16.9782i | 0.507884 | + | 0.564063i | ||||
\(907\) | 40.3296 | + | 20.5490i | 1.33912 | + | 0.682317i | 0.969091 | − | 0.246702i | \(-0.0793470\pi\) |
0.370031 | + | 0.929019i | \(0.379347\pi\) | |||||||
\(908\) | −15.6733 | + | 0.821404i | −0.520137 | + | 0.0272592i | ||||
\(909\) | 0.970349 | − | 2.17944i | 0.0321844 | − | 0.0722874i | ||||
\(910\) | 10.5301 | + | 1.99912i | 0.349068 | + | 0.0662703i | ||||
\(911\) | 22.8869 | − | 2.40551i | 0.758276 | − | 0.0796980i | 0.282503 | − | 0.959266i | \(-0.408835\pi\) |
0.475773 | + | 0.879568i | \(0.342169\pi\) | |||||||
\(912\) | −5.73165 | + | 4.64139i | −0.189794 | + | 0.153692i | ||||
\(913\) | −19.7075 | − | 30.3469i | −0.652223 | − | 1.00434i | ||||
\(914\) | −15.3086 | − | 11.1224i | −0.506364 | − | 0.367895i | ||||
\(915\) | −0.215808 | − | 0.355636i | −0.00713441 | − | 0.0117570i | ||||
\(916\) | 1.03708 | − | 4.87908i | 0.0342661 | − | 0.161209i | ||||
\(917\) | 35.7826 | + | 44.1878i | 1.18164 | + | 1.45921i | ||||
\(918\) | 2.22180 | − | 2.74369i | 0.0733303 | − | 0.0905554i | ||||
\(919\) | −7.48342 | − | 35.2067i | −0.246855 | − | 1.16136i | −0.910563 | − | 0.413371i | \(-0.864351\pi\) |
0.663708 | − | 0.747992i | \(-0.268982\pi\) | |||||||
\(920\) | 12.4576 | + | 0.380531i | 0.410714 | + | 0.0125457i | ||||
\(921\) | −9.18246 | − | 8.26792i | −0.302572 | − | 0.272437i | ||||
\(922\) | −6.72852 | + | 13.2055i | −0.221592 | + | 0.434899i | ||||
\(923\) | 4.65621 | + | 0.244021i | 0.153261 | + | 0.00803206i | ||||
\(924\) | 11.0649 | + | 6.38831i | 0.364008 | + | 0.210160i | ||||
\(925\) | 12.3944 | + | 21.9064i | 0.407527 | + | 0.720279i | ||||
\(926\) | 12.7255 | + | 4.13478i | 0.418187 | + | 0.135877i | ||||
\(927\) | −6.86470 | + | 17.8831i | −0.225466 | + | 0.587359i | ||||
\(928\) | 0.0919202 | − | 0.580361i | 0.00301743 | − | 0.0190513i | ||||
\(929\) | −31.0093 | −1.01738 | −0.508691 | − | 0.860949i | \(-0.669870\pi\) | ||||
−0.508691 | + | 0.860949i | \(0.669870\pi\) | |||||||
\(930\) | −8.78820 | + | 8.81859i | −0.288176 | + | 0.289173i | ||||
\(931\) | 58.0552 | 1.90268 | ||||||||
\(932\) | 4.54703 | − | 28.7088i | 0.148943 | − | 0.940389i | ||||
\(933\) | 8.94259 | − | 23.2962i | 0.292767 | − | 0.762685i | ||||
\(934\) | 12.2324 | + | 3.97455i | 0.400256 | + | 0.130051i | ||||
\(935\) | 25.9459 | − | 3.30090i | 0.848520 | − | 0.107951i | ||||
\(936\) | 1.07643 | + | 0.621478i | 0.0351842 | + | 0.0203136i | ||||
\(937\) | −19.4253 | − | 1.01804i | −0.634598 | − | 0.0332579i | −0.267675 | − | 0.963509i | \(-0.586255\pi\) |
−0.366923 | + | 0.930251i | \(0.619589\pi\) | |||||||
\(938\) | 16.2094 | − | 31.8127i | 0.529255 | − | 1.03872i | ||||
\(939\) | −9.60793 | − | 8.65102i | −0.313543 | − | 0.282315i | ||||
\(940\) | 14.2251 | + | 15.1215i | 0.463971 | + | 0.493210i | ||||
\(941\) | 3.94114 | + | 18.5416i | 0.128478 | + | 0.604439i | 0.994527 | + | 0.104481i | \(0.0333181\pi\) |
−0.866049 | + | 0.499959i | \(0.833349\pi\) | |||||||
\(942\) | −8.97424 | + | 11.0823i | −0.292397 | + | 0.361080i | ||||
\(943\) | −14.5449 | − | 17.9614i | −0.473647 | − | 0.584905i | ||||
\(944\) | 1.35714 | − | 6.38482i | 0.0441710 | − | 0.207808i | ||||
\(945\) | 8.37601 | + | 2.04954i | 0.272472 | + | 0.0666715i | ||||
\(946\) | 7.29549 | + | 5.30048i | 0.237197 | + | 0.172334i | ||||
\(947\) | −29.5536 | − | 45.5086i | −0.960364 | − | 1.47883i | −0.875951 | − | 0.482400i | \(-0.839765\pi\) |
−0.0844130 | − | 0.996431i | \(-0.526902\pi\) | |||||||
\(948\) | −5.98096 | + | 4.84329i | −0.194253 | + | 0.157303i | ||||
\(949\) | 18.8877 | − | 1.98518i | 0.613122 | − | 0.0644417i | ||||
\(950\) | −36.1358 | + | 7.35241i | −1.17240 | + | 0.238544i | ||||
\(951\) | 0.437011 | − | 0.981543i | 0.0141711 | − | 0.0318287i | ||||
\(952\) | −13.5962 | + | 0.712545i | −0.440655 | + | 0.0230937i | ||||
\(953\) | 5.18864 | + | 2.64375i | 0.168077 | + | 0.0856393i | 0.536005 | − | 0.844215i | \(-0.319933\pi\) |
−0.367928 | + | 0.929854i | \(0.619933\pi\) | |||||||
\(954\) | 7.88195 | + | 8.75380i | 0.255188 | + | 0.283415i | ||||
\(955\) | 1.14859 | − | 8.44013i | 0.0371677 | − | 0.273116i | ||||
\(956\) | −23.0537 | + | 13.3101i | −0.745610 | + | 0.430478i | ||||
\(957\) | 1.73459 | − | 0.883816i | 0.0560712 | − | 0.0285697i | ||||
\(958\) | −15.3003 | − | 5.87325i | −0.494332 | − | 0.189756i | ||||
\(959\) | −20.7163 | + | 15.0513i | −0.668965 | + | 0.486032i | ||||
\(960\) | 2.06211 | + | 0.864699i | 0.0665543 | + | 0.0279080i | ||||
\(961\) | −21.6520 | + | 22.1854i | −0.698452 | + | 0.715657i | ||||
\(962\) | 4.42434 | − | 4.42434i | 0.142647 | − | 0.142647i | ||||
\(963\) | −11.8335 | − | 1.87424i | −0.381329 | − | 0.0603966i | ||||
\(964\) | −10.8761 | + | 4.84233i | −0.350294 | + | 0.155961i | ||||
\(965\) | −30.9298 | + | 35.8963i | −0.995667 | + | 1.15554i | ||||
\(966\) | −10.7473 | − | 18.6149i | −0.345789 | − | 0.598924i | ||||
\(967\) | 44.1283 | − | 11.8241i | 1.41907 | − | 0.380239i | 0.533917 | − | 0.845537i | \(-0.320719\pi\) |
0.885154 | + | 0.465298i | \(0.154053\pi\) | |||||||
\(968\) | 0.00121771 | − | 0.0232353i | 3.91387e−5 | − | 0.000746811i | ||||
\(969\) | 24.7637 | − | 8.04622i | 0.795526 | − | 0.258482i | ||||
\(970\) | −4.12247 | − | 1.48009i | −0.132365 | − | 0.0475228i | ||||
\(971\) | −20.2674 | − | 9.02365i | −0.650413 | − | 0.289583i | 0.0548858 | − | 0.998493i | \(-0.482521\pi\) |
−0.705299 | + | 0.708910i | \(0.749187\pi\) | |||||||
\(972\) | 0.838671 | + | 0.544639i | 0.0269004 | + | 0.0174693i | ||||
\(973\) | −41.9155 | − | 33.9425i | −1.34375 | − | 1.08815i | ||||
\(974\) | −2.82859 | + | 26.9122i | −0.0906338 | + | 0.862323i | ||||
\(975\) | 3.33927 | + | 5.24144i | 0.106942 | + | 0.167861i | ||||
\(976\) | −0.109350 | + | 0.150508i | −0.00350022 | + | 0.00481763i | ||||
\(977\) | 51.9820 | − | 8.23315i | 1.66305 | − | 0.263402i | 0.747107 | − | 0.664704i | \(-0.231442\pi\) |
0.915946 | + | 0.401302i | \(0.131442\pi\) | |||||||
\(978\) | 1.08183 | − | 0.702551i | 0.0345932 | − | 0.0224651i | ||||
\(979\) | 27.1061 | + | 2.84896i | 0.866313 | + | 0.0910532i | ||||
\(980\) | −8.33124 | − | 15.5049i | −0.266132 | − | 0.495287i | ||||
\(981\) | −17.7900 | + | 3.78137i | −0.567989 | + | 0.120730i | ||||
\(982\) | −8.91787 | − | 23.2318i | −0.284581 | − | 0.741358i | ||||
\(983\) | 0.487460 | + | 9.30128i | 0.0155475 | + | 0.296665i | 0.995326 | + | 0.0965770i | \(0.0307894\pi\) |
−0.979778 | + | 0.200088i | \(0.935877\pi\) | |||||||
\(984\) | −1.28136 | − | 3.94362i | −0.0408482 | − | 0.125718i | ||||
\(985\) | −12.5157 | − | 35.8388i | −0.398784 | − | 1.14192i | ||||
\(986\) | −1.03725 | + | 1.79656i | −0.0330326 | + | 0.0572142i | ||||
\(987\) | 9.26693 | − | 34.5847i | 0.294970 | − | 1.10084i | ||||
\(988\) | 4.16178 | + | 8.16795i | 0.132404 | + | 0.259857i | ||||
\(989\) | −6.17055 | − | 13.8593i | −0.196212 | − | 0.440700i | ||||
\(990\) | 1.69804 | + | 7.21112i | 0.0539674 | + | 0.229185i | ||||
\(991\) | − | 7.56091i | − | 0.240180i | −0.992763 | − | 0.120090i | \(-0.961682\pi\) | ||
0.992763 | − | 0.120090i | \(-0.0383184\pi\) | |||||||
\(992\) | 5.15681 | + | 2.09936i | 0.163729 | + | 0.0666548i | ||||
\(993\) | 6.35368 | + | 6.35368i | 0.201628 | + | 0.201628i | ||||
\(994\) | −8.50296 | − | 11.7033i | −0.269698 | − | 0.371207i | ||||
\(995\) | −13.4503 | + | 14.0506i | −0.426405 | + | 0.445434i | ||||
\(996\) | −3.37496 | + | 10.3871i | −0.106940 | + | 0.329127i | ||||
\(997\) | −21.1587 | − | 5.66944i | −0.670101 | − | 0.179553i | −0.0923008 | − | 0.995731i | \(-0.529422\pi\) |
−0.577800 | + | 0.816178i | \(0.696089\pi\) | |||||||
\(998\) | −6.14510 | − | 22.9338i | −0.194520 | − | 0.725957i | ||||
\(999\) | 3.74095 | − | 3.36836i | 0.118358 | − | 0.106570i |
(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 | 930.2.bt.b.13.7 | yes | 256 | |
5.2 | odd | 4 | 930.2.bt.a.757.5 | yes | 256 | ||
31.12 | odd | 30 | 930.2.bt.a.43.5 | ✓ | 256 | ||
155.12 | even | 60 | inner | 930.2.bt.b.787.7 | yes | 256 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
930.2.bt.a.43.5 | ✓ | 256 | 31.12 | odd | 30 | ||
930.2.bt.a.757.5 | yes | 256 | 5.2 | odd | 4 | ||
930.2.bt.b.13.7 | yes | 256 | 1.1 | even | 1 | trivial | |
930.2.bt.b.787.7 | yes | 256 | 155.12 | even | 60 | inner |