Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [315,2,Mod(157,315)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(315, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([4, 3, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("315.157");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 315 = 3^{2} \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 315.cg (of order \(12\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.51528766367\) |
Analytic rank: | \(0\) |
Dimension: | \(160\) |
Relative dimension: | \(40\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 157.8 | ||
Character | \(\chi\) | \(=\) | 315.157 |
Dual form | 315.2.cg.e.313.8 |
$q$-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 \(\left(\mathbb{Z}/315\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(136\) | \(281\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(e\left(\frac{1}{6}\right)\) | \(e\left(\frac{1}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.89474 | + | 0.507694i | −1.33978 | + | 0.358994i | −0.856354 | − | 0.516389i | \(-0.827276\pi\) |
−0.483430 | + | 0.875383i | \(0.660609\pi\) | |||||||
\(3\) | −0.298455 | − | 1.70614i | −0.172313 | − | 0.985042i | ||||
\(4\) | 1.60024 | − | 0.923896i | 0.800118 | − | 0.461948i | ||||
\(5\) | −1.92207 | − | 1.14265i | −0.859576 | − | 0.511008i | ||||
\(6\) | 1.43169 | + | 3.08117i | 0.584487 | + | 1.25788i | ||||
\(7\) | 0.974477 | − | 2.45976i | 0.368318 | − | 0.929700i | ||||
\(8\) | 0.211119 | − | 0.211119i | 0.0746418 | − | 0.0746418i | ||||
\(9\) | −2.82185 | + | 1.01841i | −0.940616 | + | 0.339472i | ||||
\(10\) | 4.22194 | + | 1.18920i | 1.33509 | + | 0.376057i | ||||
\(11\) | −1.45714 | −0.439346 | −0.219673 | − | 0.975574i | \(-0.570499\pi\) | ||||
−0.219673 | + | 0.975574i | \(0.570499\pi\) | |||||||
\(12\) | −2.05390 | − | 2.45449i | −0.592909 | − | 0.708550i | ||||
\(13\) | 1.91677 | − | 0.513596i | 0.531615 | − | 0.142446i | 0.0169812 | − | 0.999856i | \(-0.494594\pi\) |
0.514634 | + | 0.857410i | \(0.327928\pi\) | |||||||
\(14\) | −0.597577 | + | 5.15533i | −0.159709 | + | 1.37782i | ||||
\(15\) | −1.37587 | + | 3.62036i | −0.355248 | + | 0.934772i | ||||
\(16\) | −2.14062 | + | 3.70767i | −0.535156 | + | 0.926917i | ||||
\(17\) | −0.340137 | − | 1.26941i | −0.0824954 | − | 0.307877i | 0.912333 | − | 0.409450i | \(-0.134279\pi\) |
−0.994828 | + | 0.101573i | \(0.967613\pi\) | |||||||
\(18\) | 4.82963 | − | 3.36227i | 1.13835 | − | 0.792494i | ||||
\(19\) | −1.15450 | − | 1.99965i | −0.264859 | − | 0.458750i | 0.702667 | − | 0.711519i | \(-0.251992\pi\) |
−0.967527 | + | 0.252768i | \(0.918659\pi\) | |||||||
\(20\) | −4.13145 | − | 0.0527123i | −0.923821 | − | 0.0117868i | ||||
\(21\) | −4.48753 | − | 0.928470i | −0.979260 | − | 0.202609i | ||||
\(22\) | 2.76091 | − | 0.739784i | 0.588628 | − | 0.157722i | ||||
\(23\) | −4.51664 | + | 4.51664i | −0.941784 | + | 0.941784i | −0.998396 | − | 0.0566121i | \(-0.981970\pi\) |
0.0566121 | + | 0.998396i | \(0.481970\pi\) | |||||||
\(24\) | −0.423209 | − | 0.297190i | −0.0863871 | − | 0.0606636i | ||||
\(25\) | 2.38871 | + | 4.39250i | 0.477742 | + | 0.878500i | ||||
\(26\) | −3.37102 | + | 1.94626i | −0.661112 | + | 0.381693i | ||||
\(27\) | 2.57976 | + | 4.51053i | 0.496475 | + | 0.868051i | ||||
\(28\) | −0.713166 | − | 4.83650i | −0.134776 | − | 0.914013i | ||||
\(29\) | −2.04431 | + | 1.18028i | −0.379618 | + | 0.219173i | −0.677652 | − | 0.735383i | \(-0.737002\pi\) |
0.298034 | + | 0.954555i | \(0.403669\pi\) | |||||||
\(30\) | 0.768881 | − | 7.55815i | 0.140378 | − | 1.37992i | ||||
\(31\) | −6.68650 | + | 3.86045i | −1.20093 | + | 0.693358i | −0.960762 | − | 0.277374i | \(-0.910536\pi\) |
−0.240169 | + | 0.970731i | \(0.577203\pi\) | |||||||
\(32\) | 2.01901 | − | 7.53506i | 0.356915 | − | 1.33202i | ||||
\(33\) | 0.434892 | + | 2.48610i | 0.0757051 | + | 0.432774i | ||||
\(34\) | 1.28894 | + | 2.23252i | 0.221052 | + | 0.382873i | ||||
\(35\) | −4.68365 | + | 3.61434i | −0.791681 | + | 0.610935i | ||||
\(36\) | −3.57471 | + | 4.23680i | −0.595785 | + | 0.706133i | ||||
\(37\) | 0.484154 | − | 1.80689i | 0.0795944 | − | 0.297050i | −0.914641 | − | 0.404266i | \(-0.867527\pi\) |
0.994236 | + | 0.107216i | \(0.0341936\pi\) | |||||||
\(38\) | 3.20268 | + | 3.20268i | 0.519543 | + | 0.519543i | ||||
\(39\) | −1.44834 | − | 3.11699i | −0.231920 | − | 0.499118i | ||||
\(40\) | −0.647020 | + | 0.164551i | −0.102303 | + | 0.0260178i | ||||
\(41\) | −1.75825 | − | 1.01513i | −0.274592 | − | 0.158536i | 0.356380 | − | 0.934341i | \(-0.384011\pi\) |
−0.630973 | + | 0.775805i | \(0.717344\pi\) | |||||||
\(42\) | 8.97408 | − | 0.519083i | 1.38473 | − | 0.0800963i | ||||
\(43\) | −8.54342 | − | 2.28920i | −1.30286 | − | 0.349100i | −0.460329 | − | 0.887749i | \(-0.652268\pi\) |
−0.842531 | + | 0.538648i | \(0.818935\pi\) | |||||||
\(44\) | −2.33177 | + | 1.34625i | −0.351528 | + | 0.202955i | ||||
\(45\) | 6.58748 | + | 1.26692i | 0.982004 | + | 0.188861i | ||||
\(46\) | 6.26478 | − | 10.8509i | 0.923692 | − | 1.59988i | ||||
\(47\) | −3.02305 | − | 11.2822i | −0.440957 | − | 1.64567i | −0.726396 | − | 0.687276i | \(-0.758806\pi\) |
0.285439 | − | 0.958397i | \(-0.407860\pi\) | |||||||
\(48\) | 6.96470 | + | 2.54564i | 1.00527 | + | 0.367431i | ||||
\(49\) | −5.10079 | − | 4.79395i | −0.728684 | − | 0.684850i | ||||
\(50\) | −6.75603 | − | 7.10991i | −0.955447 | − | 1.00549i | ||||
\(51\) | −2.06428 | + | 0.959185i | −0.289057 | + | 0.134313i | ||||
\(52\) | 2.59277 | − | 2.59277i | 0.359552 | − | 0.359552i | ||||
\(53\) | 1.53020 | + | 5.71079i | 0.210189 | + | 0.784437i | 0.987805 | + | 0.155697i | \(0.0497623\pi\) |
−0.777616 | + | 0.628740i | \(0.783571\pi\) | |||||||
\(54\) | −7.17794 | − | 7.23655i | −0.976793 | − | 0.984769i | ||||
\(55\) | 2.80073 | + | 1.66500i | 0.377651 | + | 0.224509i | ||||
\(56\) | −0.313570 | − | 0.725032i | −0.0419026 | − | 0.0968864i | ||||
\(57\) | −3.06712 | + | 2.56654i | −0.406249 | + | 0.339946i | ||||
\(58\) | 3.27421 | − | 3.27421i | 0.429924 | − | 0.429924i | ||||
\(59\) | 6.07601 | + | 10.5240i | 0.791029 | + | 1.37010i | 0.925331 | + | 0.379161i | \(0.123787\pi\) |
−0.134302 | + | 0.990940i | \(0.542879\pi\) | |||||||
\(60\) | 1.14312 | + | 7.06458i | 0.147576 | + | 0.912034i | ||||
\(61\) | 13.0016 | + | 7.50649i | 1.66469 | + | 0.961108i | 0.970431 | + | 0.241380i | \(0.0776000\pi\) |
0.694256 | + | 0.719728i | \(0.255733\pi\) | |||||||
\(62\) | 10.7092 | − | 10.7092i | 1.36008 | − | 1.36008i | ||||
\(63\) | −0.244776 | + | 7.93348i | −0.0308388 | + | 0.999524i | ||||
\(64\) | 6.73953i | 0.842441i | ||||||||
\(65\) | −4.27102 | − | 1.20302i | −0.529755 | − | 0.149217i | ||||
\(66\) | −2.08618 | − | 4.48972i | −0.256792 | − | 0.552646i | ||||
\(67\) | 0.312004 | − | 1.16441i | 0.0381173 | − | 0.142256i | −0.944245 | − | 0.329244i | \(-0.893206\pi\) |
0.982362 | + | 0.186989i | \(0.0598727\pi\) | |||||||
\(68\) | −1.71710 | − | 1.71710i | −0.208229 | − | 0.208229i | ||||
\(69\) | 9.05405 | + | 6.35802i | 1.08998 | + | 0.765415i | ||||
\(70\) | 7.03932 | − | 9.22609i | 0.841359 | − | 1.10273i | ||||
\(71\) | 9.93804 | 1.17943 | 0.589714 | − | 0.807612i | \(-0.299240\pi\) | ||||
0.589714 | + | 0.807612i | \(0.299240\pi\) | |||||||
\(72\) | −0.380739 | + | 0.810753i | −0.0448705 | + | 0.0955481i | ||||
\(73\) | −0.821128 | + | 0.220021i | −0.0961058 | + | 0.0257515i | −0.306551 | − | 0.951854i | \(-0.599175\pi\) |
0.210446 | + | 0.977606i | \(0.432508\pi\) | |||||||
\(74\) | 3.66938i | 0.426557i | ||||||||
\(75\) | 6.78131 | − | 5.38645i | 0.783039 | − | 0.621973i | ||||
\(76\) | −3.69493 | − | 2.13327i | −0.423837 | − | 0.244703i | ||||
\(77\) | −1.41995 | + | 3.58422i | −0.161819 | + | 0.408460i | ||||
\(78\) | 4.32670 | + | 5.17058i | 0.489902 | + | 0.585453i | ||||
\(79\) | −11.3507 | − | 6.55334i | −1.27706 | − | 0.737308i | −0.300749 | − | 0.953703i | \(-0.597237\pi\) |
−0.976306 | + | 0.216395i | \(0.930570\pi\) | |||||||
\(80\) | 8.35099 | − | 4.68042i | 0.933669 | − | 0.523287i | ||||
\(81\) | 6.92566 | − | 5.74763i | 0.769518 | − | 0.638625i | ||||
\(82\) | 3.84680 | + | 1.03075i | 0.424808 | + | 0.113827i | ||||
\(83\) | 3.67714 | − | 13.7233i | 0.403618 | − | 1.50632i | −0.402972 | − | 0.915212i | \(-0.632023\pi\) |
0.806590 | − | 0.591111i | \(-0.201311\pi\) | |||||||
\(84\) | −8.03892 | + | 2.66024i | −0.877118 | + | 0.290256i | ||||
\(85\) | −0.796721 | + | 2.82855i | −0.0864165 | + | 0.306800i | ||||
\(86\) | 17.3498 | 1.87087 | ||||||||
\(87\) | 2.62386 | + | 3.13562i | 0.281308 | + | 0.336174i | ||||
\(88\) | −0.307631 | + | 0.307631i | −0.0327936 | + | 0.0327936i | ||||
\(89\) | 1.36639 | + | 2.36666i | 0.144837 | + | 0.250866i | 0.929312 | − | 0.369295i | \(-0.120401\pi\) |
−0.784475 | + | 0.620161i | \(0.787067\pi\) | |||||||
\(90\) | −13.1248 | + | 0.943950i | −1.38347 | + | 0.0995011i | ||||
\(91\) | 0.604524 | − | 5.21526i | 0.0633714 | − | 0.546708i | ||||
\(92\) | −3.05478 | + | 11.4006i | −0.318483 | + | 1.18859i | ||||
\(93\) | 8.58211 | + | 10.2560i | 0.889923 | + | 1.06349i | ||||
\(94\) | 11.4558 | + | 19.8420i | 1.18157 | + | 2.04654i | ||||
\(95\) | −0.0658690 | + | 5.16264i | −0.00675802 | + | 0.529676i | ||||
\(96\) | −13.4585 | − | 1.19585i | −1.37360 | − | 0.122051i | ||||
\(97\) | −8.47048 | − | 2.26966i | −0.860047 | − | 0.230449i | −0.198268 | − | 0.980148i | \(-0.563532\pi\) |
−0.661779 | + | 0.749699i | \(0.730198\pi\) | |||||||
\(98\) | 12.0985 | + | 6.49365i | 1.22214 | + | 0.655957i | ||||
\(99\) | 4.11184 | − | 1.48398i | 0.413256 | − | 0.149145i | ||||
\(100\) | 7.88071 | + | 4.82211i | 0.788071 | + | 0.482211i | ||||
\(101\) | − | 12.0766i | − | 1.20167i | −0.799374 | − | 0.600834i | \(-0.794835\pi\) | ||
0.799374 | − | 0.600834i | \(-0.205165\pi\) | |||||||
\(102\) | 3.42430 | − | 2.86543i | 0.339056 | − | 0.283720i | ||||
\(103\) | 0.497553 | + | 0.497553i | 0.0490253 | + | 0.0490253i | 0.731194 | − | 0.682169i | \(-0.238963\pi\) |
−0.682169 | + | 0.731194i | \(0.738963\pi\) | |||||||
\(104\) | 0.296236 | − | 0.513096i | 0.0290483 | − | 0.0503132i | ||||
\(105\) | 7.56444 | + | 6.91226i | 0.738214 | + | 0.674567i | ||||
\(106\) | −5.79867 | − | 10.0436i | −0.563216 | − | 0.975519i | ||||
\(107\) | −0.972632 | + | 3.62991i | −0.0940278 | + | 0.350917i | −0.996870 | − | 0.0790549i | \(-0.974810\pi\) |
0.902842 | + | 0.429972i | \(0.141476\pi\) | |||||||
\(108\) | 8.29548 | + | 4.83448i | 0.798233 | + | 0.465198i | ||||
\(109\) | −4.93363 | − | 2.84843i | −0.472556 | − | 0.272830i | 0.244753 | − | 0.969585i | \(-0.421293\pi\) |
−0.717309 | + | 0.696755i | \(0.754626\pi\) | |||||||
\(110\) | −6.15198 | − | 1.73283i | −0.586568 | − | 0.165219i | ||||
\(111\) | −3.22731 | − | 0.286761i | −0.306322 | − | 0.0272181i | ||||
\(112\) | 7.03397 | + | 8.87845i | 0.664648 | + | 0.838935i | ||||
\(113\) | −1.83905 | − | 6.86344i | −0.173004 | − | 0.645659i | −0.996883 | − | 0.0788933i | \(-0.974861\pi\) |
0.823879 | − | 0.566765i | \(-0.191805\pi\) | |||||||
\(114\) | 4.50837 | − | 6.42008i | 0.422247 | − | 0.601296i | ||||
\(115\) | 13.8422 | − | 3.52037i | 1.29079 | − | 0.328276i | ||||
\(116\) | −2.18091 | + | 3.77745i | −0.202493 | + | 0.350728i | ||||
\(117\) | −4.88577 | + | 3.40135i | −0.451690 | + | 0.314455i | ||||
\(118\) | −16.8554 | − | 16.8554i | −1.55167 | − | 1.55167i | ||||
\(119\) | −3.45389 | − | 0.400356i | −0.316618 | − | 0.0367006i | ||||
\(120\) | 0.473854 | + | 1.05480i | 0.0432568 | + | 0.0962895i | ||||
\(121\) | −8.87673 | −0.806975 | ||||||||
\(122\) | −28.4457 | − | 7.62200i | −2.57535 | − | 0.690063i | ||||
\(123\) | −1.20719 | + | 3.30279i | −0.108849 | + | 0.297803i | ||||
\(124\) | −7.13331 | + | 12.3553i | −0.640590 | + | 1.10954i | ||||
\(125\) | 0.427815 | − | 11.1722i | 0.0382649 | − | 0.999268i | ||||
\(126\) | −3.56399 | − | 15.1561i | −0.317506 | − | 1.35022i | ||||
\(127\) | −11.9376 | − | 11.9376i | −1.05929 | − | 1.05929i | −0.998128 | − | 0.0611636i | \(-0.980519\pi\) |
−0.0611636 | − | 0.998128i | \(-0.519481\pi\) | |||||||
\(128\) | 0.616409 | + | 2.30047i | 0.0544834 | + | 0.203335i | ||||
\(129\) | −1.35588 | + | 15.2595i | −0.119378 | + | 1.34353i | ||||
\(130\) | 8.70324 | + | 0.111043i | 0.763324 | + | 0.00973909i | ||||
\(131\) | 1.20978i | 0.105699i | 0.998602 | + | 0.0528493i | \(0.0168303\pi\) | ||||
−0.998602 | + | 0.0528493i | \(0.983170\pi\) | |||||||
\(132\) | 2.99283 | + | 3.57654i | 0.260492 | + | 0.311298i | ||||
\(133\) | −6.04367 | + | 0.891168i | −0.524052 | + | 0.0772741i | ||||
\(134\) | 2.36466i | 0.204276i | ||||||||
\(135\) | 0.195470 | − | 11.6173i | 0.0168234 | − | 0.999858i | ||||
\(136\) | −0.339806 | − | 0.196187i | −0.0291381 | − | 0.0168229i | ||||
\(137\) | −5.15208 | − | 5.15208i | −0.440172 | − | 0.440172i | 0.451898 | − | 0.892070i | \(-0.350747\pi\) |
−0.892070 | + | 0.451898i | \(0.850747\pi\) | |||||||
\(138\) | −20.3830 | − | 7.45010i | −1.73512 | − | 0.634195i | ||||
\(139\) | 4.74955 | − | 8.22647i | 0.402852 | − | 0.697760i | −0.591217 | − | 0.806513i | \(-0.701352\pi\) |
0.994069 | + | 0.108753i | \(0.0346856\pi\) | |||||||
\(140\) | −4.15567 | + | 10.1110i | −0.351218 | + | 0.854535i | ||||
\(141\) | −18.3467 | + | 8.52497i | −1.54507 | + | 0.717932i | ||||
\(142\) | −18.8300 | + | 5.04548i | −1.58018 | + | 0.423408i | ||||
\(143\) | −2.79301 | + | 0.748384i | −0.233563 | + | 0.0625830i | ||||
\(144\) | 2.26457 | − | 12.6425i | 0.188714 | − | 1.05354i | ||||
\(145\) | 5.27795 | + | 0.0673402i | 0.438310 | + | 0.00559230i | ||||
\(146\) | 1.44412 | − | 0.833764i | 0.119516 | − | 0.0690028i | ||||
\(147\) | −6.65681 | + | 10.1335i | −0.549044 | + | 0.835793i | ||||
\(148\) | −0.894616 | − | 3.33875i | −0.0735370 | − | 0.274444i | ||||
\(149\) | 6.02129i | 0.493283i | 0.969107 | + | 0.246642i | \(0.0793271\pi\) | ||||
−0.969107 | + | 0.246642i | \(0.920673\pi\) | |||||||
\(150\) | −10.1142 | + | 13.6487i | −0.825817 | + | 1.11442i | ||||
\(151\) | −2.79156 | −0.227174 | −0.113587 | − | 0.993528i | \(-0.536234\pi\) | ||||
−0.113587 | + | 0.993528i | \(0.536234\pi\) | |||||||
\(152\) | −0.665899 | − | 0.178427i | −0.0540116 | − | 0.0144724i | ||||
\(153\) | 2.25260 | + | 3.23568i | 0.182112 | + | 0.261589i | ||||
\(154\) | 0.870757 | − | 7.51206i | 0.0701676 | − | 0.605339i | ||||
\(155\) | 17.2631 | + | 0.220256i | 1.38660 | + | 0.0176914i | ||||
\(156\) | −5.19746 | − | 3.64981i | −0.416130 | − | 0.292218i | ||||
\(157\) | −6.15359 | − | 1.64885i | −0.491110 | − | 0.131592i | 0.00476117 | − | 0.999989i | \(-0.498484\pi\) |
−0.495871 | + | 0.868396i | \(0.665151\pi\) | |||||||
\(158\) | 24.8337 | + | 6.65418i | 1.97567 | + | 0.529378i | ||||
\(159\) | 9.28672 | − | 4.31516i | 0.736485 | − | 0.342214i | ||||
\(160\) | −12.4906 | + | 12.1759i | −0.987470 | + | 0.962589i | ||||
\(161\) | 6.70846 | + | 15.5112i | 0.528701 | + | 1.22245i | ||||
\(162\) | −10.2043 | + | 14.4064i | −0.801725 | + | 1.13187i | ||||
\(163\) | −6.28557 | − | 1.68421i | −0.492324 | − | 0.131918i | 0.00411142 | − | 0.999992i | \(-0.498691\pi\) |
−0.496435 | + | 0.868074i | \(0.665358\pi\) | |||||||
\(164\) | −3.75148 | −0.292942 | ||||||||
\(165\) | 2.00484 | − | 5.27538i | 0.156077 | − | 0.410688i | ||||
\(166\) | 27.8689i | 2.16304i | ||||||||
\(167\) | −2.80712 | − | 10.4763i | −0.217221 | − | 0.810681i | −0.985373 | − | 0.170413i | \(-0.945490\pi\) |
0.768151 | − | 0.640268i | \(-0.221177\pi\) | |||||||
\(168\) | −1.14342 | + | 0.751386i | −0.0882169 | + | 0.0579707i | ||||
\(169\) | −7.84812 | + | 4.53111i | −0.603701 | + | 0.348547i | ||||
\(170\) | 0.0735399 | − | 5.76386i | 0.00564025 | − | 0.442068i | ||||
\(171\) | 5.29428 | + | 4.46694i | 0.404864 | + | 0.341596i | ||||
\(172\) | −15.7865 | + | 4.22997i | −1.20371 | + | 0.322532i | ||||
\(173\) | −0.613058 | + | 0.164268i | −0.0466099 | + | 0.0124891i | −0.282049 | − | 0.959400i | \(-0.591014\pi\) |
0.235439 | + | 0.971889i | \(0.424347\pi\) | |||||||
\(174\) | −6.56347 | − | 4.60906i | −0.497575 | − | 0.349412i | ||||
\(175\) | 13.1322 | − | 1.59525i | 0.992702 | − | 0.120590i | ||||
\(176\) | 3.11920 | − | 5.40261i | 0.235118 | − | 0.407237i | ||||
\(177\) | 16.1420 | − | 13.5075i | 1.21330 | − | 1.01528i | ||||
\(178\) | −3.79050 | − | 3.79050i | −0.284110 | − | 0.284110i | ||||
\(179\) | −20.4342 | − | 11.7977i | −1.52733 | − | 0.881803i | −0.999473 | − | 0.0324681i | \(-0.989663\pi\) |
−0.527855 | − | 0.849335i | \(-0.677003\pi\) | |||||||
\(180\) | 11.7120 | − | 4.05879i | 0.872962 | − | 0.302524i | ||||
\(181\) | 19.2431i | 1.43033i | 0.698957 | + | 0.715164i | \(0.253648\pi\) | ||||
−0.698957 | + | 0.715164i | \(0.746352\pi\) | |||||||
\(182\) | 1.50234 | + | 10.1885i | 0.111361 | + | 0.755220i | ||||
\(183\) | 8.92674 | − | 24.4230i | 0.659884 | − | 1.80540i | ||||
\(184\) | 1.90710i | 0.140593i | ||||||||
\(185\) | −2.99522 | + | 2.91975i | −0.220213 | + | 0.214664i | ||||
\(186\) | −21.4677 | − | 15.0753i | −1.57409 | − | 1.10537i | ||||
\(187\) | 0.495629 | + | 1.84971i | 0.0362440 | + | 0.135264i | ||||
\(188\) | −15.2611 | − | 15.2611i | −1.11303 | − | 1.11303i | ||||
\(189\) | 13.6087 | − | 1.95017i | 0.989888 | − | 0.141854i | ||||
\(190\) | −2.49624 | − | 9.81530i | −0.181096 | − | 0.712077i | ||||
\(191\) | 8.46178 | − | 14.6562i | 0.612273 | − | 1.06049i | −0.378584 | − | 0.925567i | \(-0.623589\pi\) |
0.990856 | − | 0.134920i | \(-0.0430779\pi\) | |||||||
\(192\) | 11.4986 | − | 2.01145i | 0.829840 | − | 0.145164i | ||||
\(193\) | 14.6363 | + | 3.92178i | 1.05354 | + | 0.282296i | 0.743714 | − | 0.668497i | \(-0.233062\pi\) |
0.309827 | + | 0.950793i | \(0.399729\pi\) | |||||||
\(194\) | 17.2016 | 1.23501 | ||||||||
\(195\) | −0.777819 | + | 7.64602i | −0.0557008 | + | 0.547543i | ||||
\(196\) | −12.5916 | − | 2.95885i | −0.899398 | − | 0.211346i | ||||
\(197\) | 3.73230 | + | 3.73230i | 0.265915 | + | 0.265915i | 0.827452 | − | 0.561537i | \(-0.189790\pi\) |
−0.561537 | + | 0.827452i | \(0.689790\pi\) | |||||||
\(198\) | −7.03746 | + | 4.89931i | −0.500131 | + | 0.348179i | ||||
\(199\) | 7.35209 | − | 12.7342i | 0.521176 | − | 0.902703i | −0.478521 | − | 0.878076i | \(-0.658827\pi\) |
0.999697 | − | 0.0246270i | \(-0.00783982\pi\) | |||||||
\(200\) | 1.43164 | + | 0.423038i | 0.101232 | + | 0.0299133i | ||||
\(201\) | −2.07977 | − | 0.184798i | −0.146696 | − | 0.0130346i | ||||
\(202\) | 6.13122 | + | 22.8820i | 0.431391 | + | 1.60997i | ||||
\(203\) | 0.911072 | + | 6.17865i | 0.0639447 | + | 0.433656i | ||||
\(204\) | −2.41714 | + | 3.44210i | −0.169234 | + | 0.240995i | ||||
\(205\) | 2.21955 | + | 3.96020i | 0.155020 | + | 0.276593i | ||||
\(206\) | −1.19534 | − | 0.690128i | −0.0832831 | − | 0.0480835i | ||||
\(207\) | 8.14546 | − | 17.3451i | 0.566149 | − | 1.20557i | ||||
\(208\) | −2.19883 | + | 8.20615i | −0.152462 | + | 0.568994i | ||||
\(209\) | 1.68227 | + | 2.91377i | 0.116365 | + | 0.201550i | ||||
\(210\) | −17.8420 | − | 9.25651i | −1.23121 | − | 0.638760i | ||||
\(211\) | 13.2718 | − | 22.9874i | 0.913667 | − | 1.58252i | 0.104827 | − | 0.994491i | \(-0.466571\pi\) |
0.808841 | − | 0.588028i | \(-0.200095\pi\) | |||||||
\(212\) | 7.72486 | + | 7.72486i | 0.530545 | + | 0.530545i | ||||
\(213\) | −2.96606 | − | 16.9557i | −0.203231 | − | 1.16179i | ||||
\(214\) | − | 7.37154i | − | 0.503908i | ||||||
\(215\) | 13.8053 | + | 14.1621i | 0.941514 | + | 0.965849i | ||||
\(216\) | 1.49689 | + | 0.407622i | 0.101851 | + | 0.0277352i | ||||
\(217\) | 2.97993 | + | 20.2091i | 0.202291 | + | 1.37188i | ||||
\(218\) | 10.7941 | + | 2.89227i | 0.731067 | + | 0.195889i | ||||
\(219\) | 0.620457 | + | 1.33530i | 0.0419266 | + | 0.0902309i | ||||
\(220\) | 6.02012 | + | 0.0768095i | 0.405877 | + | 0.00517849i | ||||
\(221\) | −1.30393 | − | 2.25847i | −0.0877117 | − | 0.151921i | ||||
\(222\) | 6.26049 | − | 1.09515i | 0.420177 | − | 0.0735015i | ||||
\(223\) | −5.52363 | + | 20.6145i | −0.369890 | + | 1.38045i | 0.490780 | + | 0.871284i | \(0.336712\pi\) |
−0.860670 | + | 0.509164i | \(0.829955\pi\) | |||||||
\(224\) | −16.5669 | − | 12.3090i | −1.10692 | − | 0.822431i | ||||
\(225\) | −11.2140 | − | 9.96228i | −0.747598 | − | 0.664152i | ||||
\(226\) | 6.96906 | + | 12.0708i | 0.463575 | + | 0.802935i | ||||
\(227\) | 7.06081 | − | 7.06081i | 0.468643 | − | 0.468643i | −0.432832 | − | 0.901475i | \(-0.642486\pi\) |
0.901475 | + | 0.432832i | \(0.142486\pi\) | |||||||
\(228\) | −2.53689 | + | 6.94076i | −0.168010 | + | 0.459663i | ||||
\(229\) | −15.5686 | −1.02880 | −0.514400 | − | 0.857551i | \(-0.671985\pi\) | ||||
−0.514400 | + | 0.857551i | \(0.671985\pi\) | |||||||
\(230\) | −24.4401 | + | 13.6978i | −1.61154 | + | 0.903206i | ||||
\(231\) | 6.53898 | + | 1.35292i | 0.430233 | + | 0.0890153i | ||||
\(232\) | −0.182412 | + | 0.680772i | −0.0119759 | + | 0.0446949i | ||||
\(233\) | −17.6769 | − | 4.73650i | −1.15805 | − | 0.310298i | −0.371863 | − | 0.928288i | \(-0.621281\pi\) |
−0.786186 | + | 0.617989i | \(0.787947\pi\) | |||||||
\(234\) | 7.53042 | − | 8.92516i | 0.492279 | − | 0.583456i | ||||
\(235\) | −7.08104 | + | 25.1394i | −0.461916 | + | 1.63991i | ||||
\(236\) | 19.4461 | + | 11.2272i | 1.26583 | + | 0.730828i | ||||
\(237\) | −7.79325 | + | 21.3218i | −0.506226 | + | 1.38500i | ||||
\(238\) | 6.74749 | − | 0.994950i | 0.437375 | − | 0.0644931i | ||||
\(239\) | −4.05093 | − | 2.33881i | −0.262033 | − | 0.151285i | 0.363229 | − | 0.931700i | \(-0.381674\pi\) |
−0.625262 | + | 0.780415i | \(0.715008\pi\) | |||||||
\(240\) | −10.4779 | − | 12.8511i | −0.676343 | − | 0.829534i | ||||
\(241\) | − | 0.858718i | − | 0.0553149i | −0.999617 | − | 0.0276574i | \(-0.991195\pi\) | ||
0.999617 | − | 0.0276574i | \(-0.00880476\pi\) | |||||||
\(242\) | 16.8191 | − | 4.50666i | 1.08117 | − | 0.289699i | ||||
\(243\) | −11.8733 | − | 10.1008i | −0.761671 | − | 0.647964i | ||||
\(244\) | 27.7409 | 1.77593 | ||||||||
\(245\) | 4.32628 | + | 15.0427i | 0.276396 | + | 0.961044i | ||||
\(246\) | 0.610504 | − | 6.87082i | 0.0389243 | − | 0.438067i | ||||
\(247\) | −3.23991 | − | 3.23991i | −0.206150 | − | 0.206150i | ||||
\(248\) | −0.596632 | + | 2.22666i | −0.0378862 | + | 0.141393i | ||||
\(249\) | −24.5113 | − | 2.17794i | −1.55334 | − | 0.138021i | ||||
\(250\) | 4.86144 | + | 21.3855i | 0.307464 | + | 1.35254i | ||||
\(251\) | 10.4030i | 0.656629i | 0.944569 | + | 0.328314i | \(0.106480\pi\) | ||||
−0.944569 | + | 0.328314i | \(0.893520\pi\) | |||||||
\(252\) | 6.93801 | + | 12.9216i | 0.437054 | + | 0.813983i | ||||
\(253\) | 6.58139 | − | 6.58139i | 0.413769 | − | 0.413769i | ||||
\(254\) | 28.6793 | + | 16.5580i | 1.79950 | + | 1.03894i | ||||
\(255\) | 5.06370 | + | 0.515124i | 0.317101 | + | 0.0322583i | ||||
\(256\) | −9.07540 | − | 15.7191i | −0.567213 | − | 0.982441i | ||||
\(257\) | −0.753858 | + | 0.753858i | −0.0470244 | + | 0.0470244i | −0.730228 | − | 0.683204i | \(-0.760586\pi\) |
0.683204 | + | 0.730228i | \(0.260586\pi\) | |||||||
\(258\) | −5.17813 | − | 29.6012i | −0.322376 | − | 1.84289i | ||||
\(259\) | −3.97270 | − | 2.95167i | −0.246852 | − | 0.183408i | ||||
\(260\) | −7.94610 | + | 2.02086i | −0.492796 | + | 0.125328i | ||||
\(261\) | 4.56671 | − | 5.41253i | 0.282672 | − | 0.335027i | ||||
\(262\) | −0.614196 | − | 2.29221i | −0.0379451 | − | 0.141613i | ||||
\(263\) | −19.4209 | + | 19.4209i | −1.19754 | + | 1.19754i | −0.222642 | + | 0.974900i | \(0.571468\pi\) |
−0.974900 | + | 0.222642i | \(0.928532\pi\) | |||||||
\(264\) | 0.616677 | + | 0.433048i | 0.0379538 | + | 0.0266523i | ||||
\(265\) | 3.58427 | − | 12.7250i | 0.220180 | − | 0.781692i | ||||
\(266\) | 10.9987 | − | 4.75687i | 0.674376 | − | 0.291662i | ||||
\(267\) | 3.63006 | − | 3.03760i | 0.222156 | − | 0.185898i | ||||
\(268\) | −0.576518 | − | 2.15159i | −0.0352164 | − | 0.131430i | ||||
\(269\) | −0.662762 | + | 1.14794i | −0.0404093 | + | 0.0699910i | −0.885523 | − | 0.464596i | \(-0.846200\pi\) |
0.845113 | + | 0.534587i | \(0.179533\pi\) | |||||||
\(270\) | 5.52767 | + | 22.1110i | 0.336403 | + | 1.34563i | ||||
\(271\) | 19.3840 | − | 11.1913i | 1.17749 | − | 0.679826i | 0.222059 | − | 0.975033i | \(-0.428722\pi\) |
0.955433 | + | 0.295207i | \(0.0953888\pi\) | |||||||
\(272\) | 5.43466 | + | 1.45621i | 0.329525 | + | 0.0882959i | ||||
\(273\) | −9.07841 | + | 0.525118i | −0.549450 | + | 0.0317816i | ||||
\(274\) | 12.3775 | + | 7.14617i | 0.747754 | + | 0.431716i | ||||
\(275\) | −3.48070 | − | 6.40051i | −0.209894 | − | 0.385965i | ||||
\(276\) | 20.3627 | + | 1.80932i | 1.22569 | + | 0.108908i | ||||
\(277\) | 15.1588 | + | 15.1588i | 0.910801 | + | 0.910801i | 0.996335 | − | 0.0855342i | \(-0.0272597\pi\) |
−0.0855342 | + | 0.996335i | \(0.527260\pi\) | |||||||
\(278\) | −4.82264 | + | 17.9983i | −0.289243 | + | 1.07947i | ||||
\(279\) | 14.9367 | − | 17.7032i | 0.894240 | − | 1.05987i | ||||
\(280\) | −0.225752 | + | 1.75186i | −0.0134912 | + | 0.104694i | ||||
\(281\) | 7.00219 | + | 12.1282i | 0.417716 | + | 0.723505i | 0.995709 | − | 0.0925364i | \(-0.0294975\pi\) |
−0.577994 | + | 0.816041i | \(0.696164\pi\) | |||||||
\(282\) | 30.4342 | − | 25.4671i | 1.81233 | − | 1.51655i | ||||
\(283\) | 4.42611 | − | 16.5185i | 0.263105 | − | 0.981921i | −0.700295 | − | 0.713854i | \(-0.746948\pi\) |
0.963400 | − | 0.268068i | \(-0.0863851\pi\) | |||||||
\(284\) | 15.9032 | − | 9.18172i | 0.943681 | − | 0.544835i | ||||
\(285\) | 8.82786 | − | 1.42844i | 0.522918 | − | 0.0846132i | ||||
\(286\) | 4.91207 | − | 2.83598i | 0.290457 | − | 0.167695i | ||||
\(287\) | −4.21033 | + | 3.33565i | −0.248528 | + | 0.196897i | ||||
\(288\) | 1.97647 | + | 23.3190i | 0.116464 | + | 1.37409i | ||||
\(289\) | 13.2267 | − | 7.63645i | 0.778043 | − | 0.449203i | ||||
\(290\) | −10.0345 | + | 2.55199i | −0.589248 | + | 0.149858i | ||||
\(291\) | −1.34430 | + | 15.1292i | −0.0788044 | + | 0.886892i | ||||
\(292\) | −1.11072 | + | 1.11072i | −0.0650001 | + | 0.0650001i | ||||
\(293\) | 23.6888 | − | 6.34738i | 1.38391 | − | 0.370818i | 0.511372 | − | 0.859360i | \(-0.329138\pi\) |
0.872541 | + | 0.488542i | \(0.162471\pi\) | |||||||
\(294\) | 7.46822 | − | 22.5799i | 0.435555 | − | 1.31689i | ||||
\(295\) | 0.346663 | − | 27.1705i | 0.0201835 | − | 1.58193i | ||||
\(296\) | −0.279254 | − | 0.483682i | −0.0162313 | − | 0.0281135i | ||||
\(297\) | −3.75908 | − | 6.57249i | −0.218124 | − | 0.381375i | ||||
\(298\) | −3.05697 | − | 11.4088i | −0.177086 | − | 0.660893i | ||||
\(299\) | −6.33761 | + | 10.9771i | −0.366514 | + | 0.634820i | ||||
\(300\) | 5.87518 | − | 14.8848i | 0.339204 | − | 0.859375i | ||||
\(301\) | −13.9562 | + | 18.7839i | −0.804424 | + | 1.08269i | ||||
\(302\) | 5.28927 | − | 1.41726i | 0.304364 | − | 0.0815540i | ||||
\(303\) | −20.6044 | + | 3.60433i | −1.18369 | + | 0.207063i | ||||
\(304\) | 9.88536 | 0.566965 | ||||||||
\(305\) | −16.4128 | − | 29.2843i | −0.939792 | − | 1.67681i | ||||
\(306\) | −5.91083 | − | 4.98714i | −0.337900 | − | 0.285096i | ||||
\(307\) | −1.58374 | + | 1.58374i | −0.0903887 | + | 0.0903887i | −0.750855 | − | 0.660467i | \(-0.770358\pi\) |
0.660467 | + | 0.750855i | \(0.270358\pi\) | |||||||
\(308\) | 1.03919 | + | 7.04748i | 0.0592131 | + | 0.401568i | ||||
\(309\) | 0.700399 | − | 0.997393i | 0.0398443 | − | 0.0567397i | ||||
\(310\) | −32.8208 | + | 8.34703i | −1.86410 | + | 0.474079i | ||||
\(311\) | −28.3649 | + | 16.3765i | −1.60842 | + | 0.928624i | −0.618701 | + | 0.785627i | \(0.712341\pi\) |
−0.989723 | + | 0.142998i | \(0.954326\pi\) | |||||||
\(312\) | −0.963828 | − | 0.352285i | −0.0545660 | − | 0.0199442i | ||||
\(313\) | 18.4396 | − | 4.94087i | 1.04227 | − | 0.279274i | 0.303214 | − | 0.952922i | \(-0.401940\pi\) |
0.739052 | + | 0.673648i | \(0.235274\pi\) | |||||||
\(314\) | 12.4966 | 0.705222 | ||||||||
\(315\) | 9.53565 | − | 14.9690i | 0.537273 | − | 0.843408i | ||||
\(316\) | −24.2184 | −1.36239 | ||||||||
\(317\) | −4.85616 | + | 1.30120i | −0.272749 | + | 0.0730829i | −0.392601 | − | 0.919709i | \(-0.628425\pi\) |
0.119852 | + | 0.992792i | \(0.461758\pi\) | |||||||
\(318\) | −15.4051 | + | 12.8909i | −0.863878 | + | 0.722887i | ||||
\(319\) | 2.97885 | − | 1.71984i | 0.166784 | − | 0.0962925i | ||||
\(320\) | 7.70091 | − | 12.9539i | 0.430494 | − | 0.724142i | ||||
\(321\) | 6.48343 | + | 0.576083i | 0.361870 | + | 0.0321538i | ||||
\(322\) | −20.5857 | − | 25.9838i | −1.14720 | − | 1.44802i | ||||
\(323\) | −2.14568 | + | 2.14568i | −0.119389 | + | 0.119389i | ||||
\(324\) | 5.77248 | − | 15.5961i | 0.320693 | − | 0.866453i | ||||
\(325\) | 6.83457 | + | 7.19257i | 0.379114 | + | 0.398972i | ||||
\(326\) | 12.7646 | 0.706965 | ||||||||
\(327\) | −3.38737 | + | 9.26761i | −0.187322 | + | 0.512500i | ||||
\(328\) | −0.585512 | + | 0.156888i | −0.0323295 | + | 0.00866266i | ||||
\(329\) | −30.6973 | − | 3.55826i | −1.69239 | − | 0.196173i | ||||
\(330\) | −1.12037 | + | 11.0133i | −0.0616744 | + | 0.606264i | ||||
\(331\) | 14.2065 | − | 24.6065i | 0.780862 | − | 1.35249i | −0.150577 | − | 0.988598i | \(-0.548113\pi\) |
0.931440 | − | 0.363895i | \(-0.118553\pi\) | |||||||
\(332\) | −6.79458 | − | 25.3577i | −0.372901 | − | 1.39169i | ||||
\(333\) | 0.473952 | + | 5.59183i | 0.0259724 | + | 0.306431i | ||||
\(334\) | 10.6375 | + | 18.4247i | 0.582059 | + | 1.00816i | ||||
\(335\) | −1.93021 | + | 1.88157i | −0.105459 | + | 0.102801i | ||||
\(336\) | 13.0486 | − | 14.6508i | 0.711858 | − | 0.799266i | ||||
\(337\) | 8.91943 | − | 2.38995i | 0.485872 | − | 0.130189i | −0.00756328 | − | 0.999971i | \(-0.502407\pi\) |
0.493436 | + | 0.869782i | \(0.335741\pi\) | |||||||
\(338\) | 12.5697 | − | 12.5697i | 0.683703 | − | 0.683703i | ||||
\(339\) | −11.1611 | + | 5.18612i | −0.606190 | + | 0.281671i | ||||
\(340\) | 1.33835 | + | 5.26244i | 0.0725821 | + | 0.285396i | ||||
\(341\) | 9.74320 | − | 5.62524i | 0.527624 | − | 0.304624i | ||||
\(342\) | −12.2991 | − | 5.77582i | −0.665060 | − | 0.312320i | ||||
\(343\) | −16.7625 | + | 7.87510i | −0.905092 | + | 0.425215i | ||||
\(344\) | −2.28697 | + | 1.32038i | −0.123305 | + | 0.0711903i | ||||
\(345\) | −10.1375 | − | 22.5661i | −0.545787 | − | 1.21492i | ||||
\(346\) | 1.07819 | − | 0.622492i | 0.0579637 | − | 0.0334654i | ||||
\(347\) | 2.72484 | − | 10.1692i | 0.146277 | − | 0.545913i | −0.853418 | − | 0.521227i | \(-0.825475\pi\) |
0.999695 | − | 0.0246864i | \(-0.00785873\pi\) | |||||||
\(348\) | 7.09578 | + | 2.59355i | 0.380374 | + | 0.139029i | ||||
\(349\) | 6.46273 | + | 11.1938i | 0.345942 | + | 0.599189i | 0.985524 | − | 0.169533i | \(-0.0542261\pi\) |
−0.639582 | + | 0.768722i | \(0.720893\pi\) | |||||||
\(350\) | −24.0722 | + | 9.68973i | −1.28672 | + | 0.517938i | ||||
\(351\) | 7.26138 | + | 7.32067i | 0.387584 | + | 0.390749i | ||||
\(352\) | −2.94200 | + | 10.9797i | −0.156809 | + | 0.585219i | ||||
\(353\) | −17.0779 | − | 17.0779i | −0.908965 | − | 0.908965i | 0.0872233 | − | 0.996189i | \(-0.472201\pi\) |
−0.996189 | + | 0.0872233i | \(0.972201\pi\) | |||||||
\(354\) | −23.7271 | + | 33.7883i | −1.26108 | + | 1.79583i | ||||
\(355\) | −19.1016 | − | 11.3557i | −1.01381 | − | 0.602697i | ||||
\(356\) | 4.37310 | + | 2.52481i | 0.231774 | + | 0.133815i | ||||
\(357\) | 0.347768 | + | 6.01233i | 0.0184058 | + | 0.318206i | ||||
\(358\) | 44.7072 | + | 11.9793i | 2.36285 | + | 0.633124i | ||||
\(359\) | 14.4071 | − | 8.31796i | 0.760380 | − | 0.439005i | −0.0690524 | − | 0.997613i | \(-0.521998\pi\) |
0.829432 | + | 0.558608i | \(0.188664\pi\) | |||||||
\(360\) | 1.65821 | − | 1.12327i | 0.0873955 | − | 0.0592017i | ||||
\(361\) | 6.83428 | − | 11.8373i | 0.359699 | − | 0.623017i | ||||
\(362\) | −9.76961 | − | 36.4607i | −0.513479 | − | 1.91633i | ||||
\(363\) | 2.64931 | + | 15.1450i | 0.139053 | + | 0.794905i | ||||
\(364\) | −3.85098 | − | 8.90416i | −0.201846 | − | 0.466705i | ||||
\(365\) | 1.82967 | + | 0.515366i | 0.0957694 | + | 0.0269755i | ||||
\(366\) | −4.51446 | + | 50.8072i | −0.235974 | + | 2.65574i | ||||
\(367\) | −2.41202 | + | 2.41202i | −0.125906 | + | 0.125906i | −0.767252 | − | 0.641346i | \(-0.778376\pi\) |
0.641346 | + | 0.767252i | \(0.278376\pi\) | |||||||
\(368\) | −7.07778 | − | 26.4146i | −0.368955 | − | 1.37696i | ||||
\(369\) | 5.99533 | + | 1.07390i | 0.312105 | + | 0.0559052i | ||||
\(370\) | 4.19282 | − | 7.05281i | 0.217974 | − | 0.366658i | ||||
\(371\) | 15.5383 | + | 1.80111i | 0.806708 | + | 0.0935090i | ||||
\(372\) | 23.2088 | + | 8.48296i | 1.20332 | + | 0.439821i | ||||
\(373\) | −0.863701 | + | 0.863701i | −0.0447208 | + | 0.0447208i | −0.729114 | − | 0.684393i | \(-0.760067\pi\) |
0.684393 | + | 0.729114i | \(0.260067\pi\) | |||||||
\(374\) | −1.87818 | − | 3.25310i | −0.0971182 | − | 0.168214i | ||||
\(375\) | −19.1890 | + | 2.60447i | −0.990914 | + | 0.134494i | ||||
\(376\) | −3.02010 | − | 1.74366i | −0.155750 | − | 0.0899223i | ||||
\(377\) | −3.31227 | + | 3.31227i | −0.170591 | + | 0.170591i | ||||
\(378\) | −24.7949 | + | 10.6041i | −1.27531 | + | 0.545417i | ||||
\(379\) | − | 6.17777i | − | 0.317331i | −0.987332 | − | 0.158665i | \(-0.949281\pi\) | ||
0.987332 | − | 0.158665i | \(-0.0507191\pi\) | |||||||
\(380\) | 4.66434 | + | 8.32230i | 0.239276 | + | 0.426925i | ||||
\(381\) | −16.8044 | + | 23.9301i | −0.860917 | + | 1.22598i | ||||
\(382\) | −8.59199 | + | 32.0657i | −0.439604 | + | 1.64063i | ||||
\(383\) | −4.14189 | − | 4.14189i | −0.211641 | − | 0.211641i | 0.593323 | − | 0.804964i | \(-0.297816\pi\) |
−0.804964 | + | 0.593323i | \(0.797816\pi\) | |||||||
\(384\) | 3.74096 | − | 1.73827i | 0.190905 | − | 0.0887057i | ||||
\(385\) | 6.82475 | − | 5.26661i | 0.347822 | − | 0.268411i | ||||
\(386\) | −29.7230 | −1.51286 | ||||||||
\(387\) | 26.4396 | − | 2.24096i | 1.34400 | − | 0.113915i | ||||
\(388\) | −15.6517 | + | 4.19386i | −0.794594 | + | 0.212911i | ||||
\(389\) | 29.7602i | 1.50890i | 0.656357 | + | 0.754451i | \(0.272097\pi\) | ||||
−0.656357 | + | 0.754451i | \(0.727903\pi\) | |||||||
\(390\) | −2.40807 | − | 14.8821i | −0.121937 | − | 0.753585i | ||||
\(391\) | 7.26974 | + | 4.19719i | 0.367647 | + | 0.212261i | ||||
\(392\) | −2.08897 | + | 0.0647798i | −0.105509 | + | 0.00327188i | ||||
\(393\) | 2.06405 | − | 0.361064i | 0.104118 | − | 0.0182133i | ||||
\(394\) | −8.96660 | − | 5.17687i | −0.451731 | − | 0.260807i | ||||
\(395\) | 14.3287 | + | 25.5659i | 0.720956 | + | 1.28636i | ||||
\(396\) | 5.20887 | − | 6.17363i | 0.261756 | − | 0.310236i | ||||
\(397\) | 0.694278 | + | 0.186031i | 0.0348448 | + | 0.00933664i | 0.276199 | − | 0.961100i | \(-0.410925\pi\) |
−0.241355 | + | 0.970437i | \(0.577592\pi\) | |||||||
\(398\) | −7.46523 | + | 27.8606i | −0.374198 | + | 1.39653i | ||||
\(399\) | 3.32423 | + | 10.0454i | 0.166419 | + | 0.502898i | ||||
\(400\) | −21.3993 | − | 0.546146i | −1.06996 | − | 0.0273073i | ||||
\(401\) | 14.2036 | 0.709294 | 0.354647 | − | 0.935000i | \(-0.384601\pi\) | ||||
0.354647 | + | 0.935000i | \(0.384601\pi\) | |||||||
\(402\) | 4.03445 | − | 0.705746i | 0.201220 | − | 0.0351994i | ||||
\(403\) | −10.8337 | + | 10.8337i | −0.539667 | + | 0.539667i | ||||
\(404\) | −11.1575 | − | 19.3254i | −0.555108 | − | 0.961475i | ||||
\(405\) | −19.8791 | + | 3.13375i | −0.987802 | + | 0.155717i | ||||
\(406\) | −4.86311 | − | 11.2444i | −0.241352 | − | 0.558050i | ||||
\(407\) | −0.705482 | + | 2.63290i | −0.0349695 | + | 0.130508i | ||||
\(408\) | −0.233306 | + | 0.638311i | −0.0115504 | + | 0.0316011i | ||||
\(409\) | −6.45988 | − | 11.1888i | −0.319421 | − | 0.553253i | 0.660947 | − | 0.750433i | \(-0.270155\pi\) |
−0.980367 | + | 0.197180i | \(0.936822\pi\) | |||||||
\(410\) | −6.21604 | − | 6.37670i | −0.306988 | − | 0.314923i | ||||
\(411\) | −7.25252 | + | 10.3278i | −0.357740 | + | 0.509435i | ||||
\(412\) | 1.25589 | + | 0.336514i | 0.0618732 | + | 0.0165789i | ||||
\(413\) | 31.8073 | − | 4.69014i | 1.56513 | − | 0.230787i | ||||
\(414\) | −6.62753 | + | 36.9998i | −0.325725 | + | 1.81844i | ||||
\(415\) | −22.7486 | + | 22.1754i | −1.11668 | + | 1.08855i | ||||
\(416\) | − | 15.4799i | − | 0.758965i | ||||||
\(417\) | −15.4531 | − | 5.64819i | −0.756740 | − | 0.276593i | ||||
\(418\) | −4.66676 | − | 4.66676i | −0.228259 | − | 0.228259i | ||||
\(419\) | 17.6072 | − | 30.4966i | 0.860170 | − | 1.48986i | −0.0115951 | − | 0.999933i | \(-0.503691\pi\) |
0.871765 | − | 0.489925i | \(-0.162976\pi\) | |||||||
\(420\) | 18.4911 | + | 4.07248i | 0.902273 | + | 0.198717i | ||||
\(421\) | 0.246883 | + | 0.427614i | 0.0120323 | + | 0.0208406i | 0.871979 | − | 0.489543i | \(-0.162837\pi\) |
−0.859947 | + | 0.510384i | \(0.829503\pi\) | |||||||
\(422\) | −13.4760 | + | 50.2932i | −0.656002 | + | 2.44823i | ||||
\(423\) | 20.0205 | + | 28.7579i | 0.973430 | + | 1.39825i | ||||
\(424\) | 1.52871 | + | 0.882601i | 0.0742407 | + | 0.0428629i | ||||
\(425\) | 4.76339 | − | 4.52631i | 0.231059 | − | 0.219558i | ||||
\(426\) | 14.2282 | + | 30.6208i | 0.689360 | + | 1.48358i | ||||
\(427\) | 31.1339 | − | 24.6659i | 1.50668 | − | 1.19367i | ||||
\(428\) | 1.79722 | + | 6.70732i | 0.0868720 | + | 0.324211i | ||||
\(429\) | 2.11044 | + | 4.54191i | 0.101893 | + | 0.219285i | ||||
\(430\) | −33.3475 | − | 19.8247i | −1.60816 | − | 0.956031i | ||||
\(431\) | −15.0507 | + | 26.0685i | −0.724965 | + | 1.25568i | 0.234024 | + | 0.972231i | \(0.424811\pi\) |
−0.958989 | + | 0.283445i | \(0.908523\pi\) | |||||||
\(432\) | −22.2458 | − | 0.0904548i | −1.07030 | − | 0.00435201i | ||||
\(433\) | −25.3971 | − | 25.3971i | −1.22051 | − | 1.22051i | −0.967452 | − | 0.253056i | \(-0.918564\pi\) |
−0.253056 | − | 0.967452i | \(-0.581436\pi\) | |||||||
\(434\) | −15.9062 | − | 36.7780i | −0.763523 | − | 1.76540i | ||||
\(435\) | −1.46034 | − | 9.02503i | −0.0700179 | − | 0.432717i | ||||
\(436\) | −10.5266 | −0.504134 | ||||||||
\(437\) | 14.2461 | + | 3.81723i | 0.681484 | + | 0.182603i | ||||
\(438\) | −1.85353 | − | 2.21504i | −0.0885649 | − | 0.105839i | ||||
\(439\) | 10.5721 | − | 18.3115i | 0.504580 | − | 0.873959i | −0.495406 | − | 0.868662i | \(-0.664981\pi\) |
0.999986 | − | 0.00529712i | \(-0.00168613\pi\) | |||||||
\(440\) | 0.942802 | − | 0.239774i | 0.0449463 | − | 0.0114308i | ||||
\(441\) | 19.2759 | + | 8.33308i | 0.917899 | + | 0.396813i | ||||
\(442\) | 3.61721 | + | 3.61721i | 0.172053 | + | 0.172053i | ||||
\(443\) | −1.61678 | − | 6.03391i | −0.0768156 | − | 0.286680i | 0.916823 | − | 0.399293i | \(-0.130744\pi\) |
−0.993639 | + | 0.112613i | \(0.964078\pi\) | |||||||
\(444\) | −5.42939 | + | 2.52281i | −0.257667 | + | 0.119727i | ||||
\(445\) | 0.0779586 | − | 6.11019i | 0.00369559 | − | 0.289651i | ||||
\(446\) | − | 41.8634i | − | 1.98229i | ||||||
\(447\) | 10.2732 | − | 1.79709i | 0.485905 | − | 0.0849993i | ||||
\(448\) | 16.5776 | + | 6.56752i | 0.783218 | + | 0.310286i | ||||
\(449\) | 9.41186i | 0.444173i | 0.975027 | + | 0.222087i | \(0.0712868\pi\) | ||||
−0.975027 | + | 0.222087i | \(0.928713\pi\) | |||||||
\(450\) | 26.3053 | + | 13.1827i | 1.24005 | + | 0.621436i | ||||
\(451\) | 2.56202 | + | 1.47918i | 0.120641 | + | 0.0696521i | ||||
\(452\) | −9.28403 | − | 9.28403i | −0.436684 | − | 0.436684i | ||||
\(453\) | 0.833155 | + | 4.76280i | 0.0391450 | + | 0.223776i | ||||
\(454\) | −9.79367 | + | 16.9631i | −0.459640 | + | 0.796120i | ||||
\(455\) | −7.12115 | + | 9.33334i | −0.333845 | + | 0.437554i | ||||
\(456\) | −0.105681 | + | 1.18937i | −0.00494897 | + | 0.0556974i | ||||
\(457\) | −12.2792 | + | 3.29021i | −0.574398 | + | 0.153909i | −0.534313 | − | 0.845287i | \(-0.679430\pi\) |
−0.0400850 | + | 0.999196i | \(0.512763\pi\) | |||||||
\(458\) | 29.4984 | − | 7.90406i | 1.37837 | − | 0.369333i | ||||
\(459\) | 4.84824 | − | 4.80897i | 0.226296 | − | 0.224463i | ||||
\(460\) | 18.8984 | − | 18.4222i | 0.881141 | − | 0.858939i | ||||
\(461\) | −28.6382 | + | 16.5343i | −1.33382 | + | 0.770079i | −0.985882 | − | 0.167440i | \(-0.946450\pi\) |
−0.347934 | + | 0.937519i | \(0.613117\pi\) | |||||||
\(462\) | −13.0765 | + | 0.756380i | −0.608376 | + | 0.0351900i | ||||
\(463\) | 5.59130 | + | 20.8670i | 0.259850 | + | 0.969772i | 0.965328 | + | 0.261041i | \(0.0840656\pi\) |
−0.705478 | + | 0.708732i | \(0.749268\pi\) | |||||||
\(464\) | − | 10.1062i | − | 0.469166i | ||||||
\(465\) | −4.77646 | − | 29.5190i | −0.221503 | − | 1.36891i | ||||
\(466\) | 35.8977 | 1.66293 | ||||||||
\(467\) | 2.35952 | + | 0.632232i | 0.109186 | + | 0.0292562i | 0.312998 | − | 0.949754i | \(-0.398667\pi\) |
−0.203813 | + | 0.979010i | \(0.565333\pi\) | |||||||
\(468\) | −4.67588 | + | 9.95691i | −0.216143 | + | 0.460258i | ||||
\(469\) | −2.56013 | − | 1.90215i | −0.118216 | − | 0.0878330i | ||||
\(470\) | 0.653602 | − | 51.2276i | 0.0301484 | − | 2.36295i | ||||
\(471\) | −0.976602 | + | 10.9910i | −0.0449994 | + | 0.506439i | ||||
\(472\) | 3.50457 | + | 0.939046i | 0.161311 | + | 0.0432231i | ||||
\(473\) | 12.4490 | + | 3.33570i | 0.572406 | + | 0.153376i | ||||
\(474\) | 3.94122 | − | 44.3559i | 0.181026 | − | 2.03733i | ||||
\(475\) | 6.02569 | − | 9.84770i | 0.276478 | − | 0.451843i | ||||
\(476\) | −5.89693 | + | 2.55038i | −0.270285 | + | 0.116896i | ||||
\(477\) | −10.1339 | − | 14.5566i | −0.464002 | − | 0.666501i | ||||
\(478\) | 8.86286 | + | 2.37480i | 0.405378 | + | 0.108621i | ||||
\(479\) | −28.7145 | −1.31200 | −0.655999 | − | 0.754762i | \(-0.727753\pi\) | ||||
−0.655999 | + | 0.754762i | \(0.727753\pi\) | |||||||
\(480\) | 24.5017 | + | 17.6768i | 1.11835 | + | 0.806833i | ||||
\(481\) | − | 3.71204i | − | 0.169254i | ||||||
\(482\) | 0.435966 | + | 1.62705i | 0.0198577 | + | 0.0741099i | ||||
\(483\) | 24.4621 | − | 16.0750i | 1.11307 | − | 0.731438i | ||||
\(484\) | −14.2049 | + | 8.20118i | −0.645675 | + | 0.372781i | ||||
\(485\) | 13.6874 | + | 14.0412i | 0.621514 | + | 0.637579i | ||||
\(486\) | 27.6249 | + | 13.1103i | 1.25309 | + | 0.594697i | ||||
\(487\) | 17.8097 | − | 4.77210i | 0.807036 | − | 0.216245i | 0.168365 | − | 0.985725i | \(-0.446151\pi\) |
0.638671 | + | 0.769480i | \(0.279485\pi\) | |||||||
\(488\) | 4.32965 | − | 1.16013i | 0.195994 | − | 0.0525165i | ||||
\(489\) | −0.997547 | + | 11.2267i | −0.0451107 | + | 0.507691i | ||||
\(490\) | −15.8343 | − | 26.3056i | −0.715319 | − | 1.18837i | ||||
\(491\) | −14.1854 | + | 24.5699i | −0.640179 | + | 1.10882i | 0.345213 | + | 0.938524i | \(0.387807\pi\) |
−0.985392 | + | 0.170299i | \(0.945527\pi\) | |||||||
\(492\) | 1.11965 | + | 6.40057i | 0.0504777 | + | 0.288560i | ||||
\(493\) | 2.19361 | + | 2.19361i | 0.0987950 | + | 0.0987950i | ||||
\(494\) | 7.78366 | + | 4.49390i | 0.350204 | + | 0.202190i | ||||
\(495\) | −9.59891 | − | 1.84608i | −0.431439 | − | 0.0829751i | ||||
\(496\) | − | 33.0551i | − | 1.48422i | ||||||
\(497\) | 9.68439 | − | 24.4451i | 0.434404 | − | 1.09651i | ||||
\(498\) | 47.5483 | − | 8.31761i | 2.13069 | − | 0.372721i | ||||
\(499\) | 0.997367i | 0.0446483i | 0.999751 | + | 0.0223241i | \(0.00710659\pi\) | ||||
−0.999751 | + | 0.0223241i | \(0.992893\pi\) | |||||||
\(500\) | −9.63730 | − | 18.2733i | −0.430993 | − | 0.817208i | ||||
\(501\) | −17.0363 | + | 7.91605i | −0.761125 | + | 0.353663i | ||||
\(502\) | −5.28152 | − | 19.7109i | −0.235726 | − | 0.879740i | ||||
\(503\) | −1.74456 | − | 1.74456i | −0.0777861 | − | 0.0777861i | 0.667143 | − | 0.744929i | \(-0.267517\pi\) |
−0.744929 | + | 0.667143i | \(0.767517\pi\) | |||||||
\(504\) | 1.62323 | + | 1.72659i | 0.0723045 | + | 0.0769082i | ||||
\(505\) | −13.7993 | + | 23.2121i | −0.614061 | + | 1.03292i | ||||
\(506\) | −9.12870 | + | 15.8114i | −0.405820 | + | 0.702901i | ||||
\(507\) | 10.0730 | + | 12.0377i | 0.447359 | + | 0.534612i | ||||
\(508\) | −30.1321 | − | 8.07387i | −1.33690 | − | 0.358220i | ||||
\(509\) | 16.1843 | 0.717357 | 0.358678 | − | 0.933461i | \(-0.383227\pi\) | ||||
0.358678 | + | 0.933461i | \(0.383227\pi\) | |||||||
\(510\) | −9.85592 | + | 1.59479i | −0.436428 | + | 0.0706183i | ||||
\(511\) | −0.258974 | + | 2.23418i | −0.0114563 | + | 0.0988343i | ||||
\(512\) | 21.8079 | + | 21.8079i | 0.963781 | + | 0.963781i | ||||
\(513\) | 6.04113 | − | 10.3660i | 0.266723 | − | 0.457669i | ||||
\(514\) | 1.04564 | − | 1.81109i | 0.0461210 | − | 0.0798839i | ||||
\(515\) | −0.387804 | − | 1.52486i | −0.0170887 | − | 0.0671933i | ||||
\(516\) | 11.9285 | + | 25.6715i | 0.525122 | + | 1.13013i | ||||
\(517\) | 4.40502 | + | 16.4397i | 0.193732 | + | 0.723019i | ||||
\(518\) | 9.02579 | + | 3.57573i | 0.396570 | + | 0.157109i | ||||
\(519\) | 0.463236 | + | 0.996938i | 0.0203338 | + | 0.0437607i | ||||
\(520\) | −1.15567 | + | 0.647713i | −0.0506797 | + | 0.0284041i | ||||
\(521\) | −8.66008 | − | 4.99990i | −0.379405 | − | 0.219049i | 0.298154 | − | 0.954518i | \(-0.403629\pi\) |
−0.677559 | + | 0.735468i | \(0.736962\pi\) | |||||||
\(522\) | −5.90482 | + | 12.5738i | −0.258447 | + | 0.550341i | ||||
\(523\) | −4.74426 | + | 17.7058i | −0.207452 | + | 0.774222i | 0.781236 | + | 0.624236i | \(0.214590\pi\) |
−0.988688 | + | 0.149986i | \(0.952077\pi\) | |||||||
\(524\) | 1.11771 | + | 1.93593i | 0.0488273 | + | 0.0845713i | ||||
\(525\) | −6.64111 | − | 21.9293i | −0.289842 | − | 0.957075i | ||||
\(526\) | 26.9376 | − | 46.6574i | 1.17454 | − | 2.03436i | ||||
\(527\) | 7.17482 | + | 7.17482i | 0.312540 | + | 0.312540i | ||||
\(528\) | −10.1486 | − | 3.70936i | −0.441660 | − | 0.161429i | ||||
\(529\) | − | 17.8000i | − | 0.773915i | ||||||
\(530\) | −0.330839 | + | 25.9303i | −0.0143707 | + | 1.12634i | ||||
\(531\) | −27.8633 | − | 23.5091i | −1.20917 | − | 1.02021i | ||||
\(532\) | −8.84794 | + | 7.00980i | −0.383607 | + | 0.303913i | ||||
\(533\) | −3.89152 | − | 1.04273i | −0.168560 | − | 0.0451656i | ||||
\(534\) | −5.33584 | + | 7.59843i | −0.230904 | + | 0.328816i | ||||
\(535\) | 6.01718 | − | 5.86557i | 0.260145 | − | 0.253591i | ||||
\(536\) | −0.179960 | − | 0.311700i | −0.00777308 | − | 0.0134634i | ||||
\(537\) | −14.0299 | + | 38.3848i | −0.605434 | + | 1.65643i | ||||
\(538\) | 0.672961 | − | 2.51152i | 0.0290134 | − | 0.108280i | ||||
\(539\) | 7.43259 | + | 6.98548i | 0.320144 | + | 0.300886i | ||||
\(540\) | −10.4204 | − | 18.7710i | −0.448422 | − | 0.807776i | ||||
\(541\) | 14.3156 | + | 24.7953i | 0.615474 | + | 1.06603i | 0.990301 | + | 0.138938i | \(0.0443689\pi\) |
−0.374827 | + | 0.927095i | \(0.622298\pi\) | |||||||
\(542\) | −31.0458 | + | 31.0458i | −1.33353 | + | 1.33353i | ||||
\(543\) | 32.8315 | − | 5.74320i | 1.40893 | − | 0.246464i | ||||
\(544\) | −10.2518 | −0.439543 | ||||||||
\(545\) | 6.22803 | + | 11.1123i | 0.266780 | + | 0.475998i | ||||
\(546\) | 16.9346 | − | 5.60402i | 0.724735 | − | 0.239830i | ||||
\(547\) | −11.7800 | + | 43.9634i | −0.503675 | + | 1.87974i | −0.0290014 | + | 0.999579i | \(0.509233\pi\) |
−0.474674 | + | 0.880162i | \(0.657434\pi\) | |||||||
\(548\) | −13.0045 | − | 3.48455i | −0.555526 | − | 0.148853i | ||||
\(549\) | −44.3333 | − | 7.94114i | −1.89210 | − | 0.338919i | ||||
\(550\) | 9.84451 | + | 10.3602i | 0.419771 | + | 0.441759i | ||||
\(551\) | 4.72029 | + | 2.72526i | 0.201091 | + | 0.116100i | ||||
\(552\) | 3.25378 | − | 0.569183i | 0.138490 | − | 0.0242260i | ||||
\(553\) | −27.1806 | + | 21.5339i | −1.15584 | + | 0.915715i | ||||
\(554\) | −36.4179 | − | 21.0259i | −1.54725 | − | 0.893304i | ||||
\(555\) | 5.87544 | + | 4.23885i | 0.249399 | + | 0.179929i | ||||
\(556\) | − | 17.5524i | − | 0.744387i | ||||||
\(557\) | 22.5868 | − | 6.05213i | 0.957035 | − | 0.256437i | 0.253690 | − | 0.967285i | \(-0.418356\pi\) |
0.703345 | + | 0.710849i | \(0.251689\pi\) | |||||||
\(558\) | −19.3134 | + | 41.1263i | −0.817602 | + | 1.74102i | ||||
\(559\) | −17.5515 | −0.742348 | ||||||||
\(560\) | −3.37484 | − | 25.1024i | −0.142613 | − | 1.06077i | ||||
\(561\) | 3.00795 | − | 1.39767i | 0.126996 | − | 0.0590097i | ||||
\(562\) | −19.4247 | − | 19.4247i | −0.819382 | − | 0.819382i | ||||
\(563\) | 2.53432 | − | 9.45821i | 0.106809 | − | 0.398616i | −0.891735 | − | 0.452557i | \(-0.850512\pi\) |
0.998544 | + | 0.0539414i | \(0.0171784\pi\) | |||||||
\(564\) | −21.4829 | + | 30.5925i | −0.904594 | + | 1.28817i | ||||
\(565\) | −4.30771 | + | 15.2934i | −0.181227 | + | 0.643399i | ||||
\(566\) | 33.5453i | 1.41001i | ||||||||
\(567\) | −7.38885 | − | 22.6364i | −0.310303 | − | 0.950638i | ||||
\(568\) | 2.09811 | − | 2.09811i | 0.0880347 | − | 0.0880347i | ||||
\(569\) | 4.22700 | + | 2.44046i | 0.177205 | + | 0.102309i | 0.585979 | − | 0.810326i | \(-0.300710\pi\) |
−0.408774 | + | 0.912636i | \(0.634044\pi\) | |||||||
\(570\) | −16.0013 | + | 7.18837i | −0.670221 | + | 0.301088i | ||||
\(571\) | −10.4338 | − | 18.0719i | −0.436641 | − | 0.756285i | 0.560787 | − | 0.827960i | \(-0.310499\pi\) |
−0.997428 | + | 0.0716753i | \(0.977165\pi\) | |||||||
\(572\) | −3.77804 | + | 3.77804i | −0.157968 | + | 0.157968i | ||||
\(573\) | −27.5311 | − | 10.0628i | −1.15013 | − | 0.420378i | ||||
\(574\) | 6.28400 | − | 8.45774i | 0.262289 | − | 0.353019i | ||||
\(575\) | −30.6283 | − | 9.05040i | −1.27729 | − | 0.377428i | ||||
\(576\) | −6.86364 | − | 19.0179i | −0.285985 | − | 0.792414i | ||||
\(577\) | −6.69768 | − | 24.9961i | −0.278828 | − | 1.04060i | −0.953232 | − | 0.302239i | \(-0.902266\pi\) |
0.674404 | − | 0.738363i | \(-0.264401\pi\) | |||||||
\(578\) | −21.1842 | + | 21.1842i | −0.881147 | + | 0.881147i | ||||
\(579\) | 2.32284 | − | 26.1420i | 0.0965339 | − | 1.08643i | ||||
\(580\) | 8.50817 | − | 4.76851i | 0.353283 | − | 0.198002i | ||||
\(581\) | −30.1726 | − | 22.4179i | −1.25177 | − | 0.930049i | ||||
\(582\) | −5.13392 | − | 29.3485i | −0.212808 | − | 1.21653i | ||||
\(583\) | −2.22972 | − | 8.32144i | −0.0923457 | − | 0.344639i | ||||
\(584\) | −0.126905 | + | 0.219806i | −0.00525138 | + | 0.00909565i | ||||
\(585\) | 13.2773 | − | 0.954923i | 0.548951 | − | 0.0394812i | ||||
\(586\) | −41.6615 | + | 24.0533i | −1.72102 | + | 0.993632i | ||||
\(587\) | 13.7205 | + | 3.67639i | 0.566305 | + | 0.151741i | 0.530601 | − | 0.847621i | \(-0.321966\pi\) |
0.0357035 | + | 0.999362i | \(0.488633\pi\) | |||||||
\(588\) | −1.29019 | + | 22.3661i | −0.0532067 | + | 0.922363i | ||||
\(589\) | 15.4391 | + | 8.91375i | 0.636156 | + | 0.367285i | ||||
\(590\) | 13.1375 | + | 51.6571i | 0.540861 | + | 2.12669i | ||||
\(591\) | 5.25391 | − | 7.48176i | 0.216117 | − | 0.307759i | ||||
\(592\) | 5.66295 | + | 5.66295i | 0.232746 | + | 0.232746i | ||||
\(593\) | 6.88523 | − | 25.6960i | 0.282743 | − | 1.05521i | −0.667730 | − | 0.744403i | \(-0.732734\pi\) |
0.950473 | − | 0.310807i | \(-0.100599\pi\) | |||||||
\(594\) | 10.4593 | + | 10.5447i | 0.429150 | + | 0.432654i | ||||
\(595\) | 6.18116 | + | 4.71610i | 0.253403 | + | 0.193341i | ||||
\(596\) | 5.56305 | + | 9.63548i | 0.227871 | + | 0.394685i | ||||
\(597\) | −23.9206 | − | 8.74313i | −0.979006 | − | 0.357833i | ||||
\(598\) | 6.43514 | − | 24.0163i | 0.263152 | − | 0.982098i | ||||
\(599\) | −28.3296 | + | 16.3561i | −1.15752 | + | 0.668292i | −0.950707 | − | 0.310090i | \(-0.899641\pi\) |
−0.206808 | + | 0.978382i | \(0.566308\pi\) | |||||||
\(600\) | 0.294483 | − | 2.56885i | 0.0120222 | − | 0.104873i | ||||
\(601\) | 16.7386 | − | 9.66406i | 0.682783 | − | 0.394205i | −0.118120 | − | 0.992999i | \(-0.537687\pi\) |
0.800903 | + | 0.598794i | \(0.204353\pi\) | |||||||
\(602\) | 16.9070 | − | 42.6762i | 0.689076 | − | 1.73935i | ||||
\(603\) | 0.305429 | + | 3.60355i | 0.0124380 | + | 0.146748i | ||||
\(604\) | −4.46715 | + | 2.57911i | −0.181766 | + | 0.104942i | ||||
\(605\) | 17.0617 | + | 10.1430i | 0.693657 | + | 0.412371i | ||||
\(606\) | 37.2101 | − | 17.2900i | 1.51156 | − | 0.702358i | ||||
\(607\) | 15.9818 | − | 15.9818i | 0.648680 | − | 0.648680i | −0.303994 | − | 0.952674i | \(-0.598320\pi\) |
0.952674 | + | 0.303994i | \(0.0983202\pi\) | |||||||
\(608\) | −17.3984 | + | 4.66189i | −0.705598 | + | 0.189064i | ||||
\(609\) | 10.2697 | − | 3.39847i | 0.416151 | − | 0.137713i | ||||
\(610\) | 45.9654 | + | 47.1534i | 1.86108 | + | 1.90919i | ||||
\(611\) | −11.5889 | − | 20.0726i | −0.468839 | − | 0.812052i | ||||
\(612\) | 6.59413 | + | 3.09668i | 0.266552 | + | 0.125176i | ||||
\(613\) | 5.83533 | + | 21.7777i | 0.235687 | + | 0.879594i | 0.977838 | + | 0.209362i | \(0.0671388\pi\) |
−0.742152 | + | 0.670232i | \(0.766195\pi\) | |||||||
\(614\) | 2.19672 | − | 3.80482i | 0.0886523 | − | 0.153550i | ||||
\(615\) | 6.09424 | − | 4.96881i | 0.245743 | − | 0.200362i | ||||
\(616\) | 0.456917 | + | 1.05648i | 0.0184097 | + | 0.0425666i | ||||
\(617\) | 31.1691 | − | 8.35173i | 1.25482 | − | 0.336228i | 0.430623 | − | 0.902532i | \(-0.358294\pi\) |
0.824196 | + | 0.566304i | \(0.191627\pi\) | |||||||
\(618\) | −0.820703 | + | 2.24539i | −0.0330135 | + | 0.0903228i | ||||
\(619\) | 44.3626 | 1.78308 | 0.891542 | − | 0.452938i | \(-0.149624\pi\) | ||||
0.891542 | + | 0.452938i | \(0.149624\pi\) | |||||||
\(620\) | 27.8285 | − | 15.5968i | 1.11762 | − | 0.626383i | ||||
\(621\) | −32.0242 | − | 8.72059i | −1.28509 | − | 0.349945i | ||||
\(622\) | 45.4298 | − | 45.4298i | 1.82157 | − | 1.82157i | ||||
\(623\) | 7.15292 | − | 1.05473i | 0.286576 | − | 0.0422570i | ||||
\(624\) | 14.6571 | + | 1.30235i | 0.586754 | + | 0.0521358i | ||||
\(625\) | −13.5881 | + | 20.9848i | −0.543525 | + | 0.839393i | ||||
\(626\) | −32.4297 | + | 18.7233i | −1.29615 | + | 0.748334i | ||||
\(627\) | 4.46923 | − | 3.73982i | 0.178484 | − | 0.149354i | ||||
\(628\) | −11.3706 | + | 3.04673i | −0.453735 | + | 0.121578i | ||||
\(629\) | −2.45836 | −0.0980212 | ||||||||
\(630\) | −10.4679 | + | 33.2036i | −0.417051 | + | 1.32286i | ||||
\(631\) | −16.7222 | −0.665700 | −0.332850 | − | 0.942980i | \(-0.608010\pi\) | ||||
−0.332850 | + | 0.942980i | \(0.608010\pi\) | |||||||
\(632\) | −3.77989 | + | 1.01282i | −0.150356 | + | 0.0402877i | ||||
\(633\) | −43.1808 | − | 15.7829i | −1.71628 | − | 0.627312i | ||||
\(634\) | 8.54054 | − | 4.93089i | 0.339188 | − | 0.195830i | ||||
\(635\) | 9.30444 | + | 36.5854i | 0.369235 | + | 1.45185i | ||||
\(636\) | 10.8742 | − | 15.4852i | 0.431190 | − | 0.614029i | ||||
\(637\) | −12.2392 | − | 6.56913i | −0.484934 | − | 0.260279i | ||||
\(638\) | −4.77099 | + | 4.77099i | −0.188885 | + | 0.188885i | ||||
\(639\) | −28.0436 | + | 10.1210i | −1.10939 | + | 0.400382i | ||||
\(640\) | 1.44385 | − | 5.12601i | 0.0570730 | − | 0.202623i | ||||
\(641\) | −15.4648 | −0.610822 | −0.305411 | − | 0.952221i | \(-0.598794\pi\) | ||||
−0.305411 | + | 0.952221i | \(0.598794\pi\) | |||||||
\(642\) | −12.5769 | + | 2.20007i | −0.496370 | + | 0.0868300i | ||||
\(643\) | 2.19061 | − | 0.586972i | 0.0863892 | − | 0.0231479i | −0.215366 | − | 0.976534i | \(-0.569094\pi\) |
0.301755 | + | 0.953386i | \(0.402428\pi\) | |||||||
\(644\) | 25.0658 | + | 18.6236i | 0.987732 | + | 0.733873i | ||||
\(645\) | 20.0424 | − | 27.7806i | 0.789167 | − | 1.09386i | ||||
\(646\) | 2.97616 | − | 5.15486i | 0.117095 | − | 0.202815i | ||||
\(647\) | −6.93533 | − | 25.8830i | −0.272656 | − | 1.01757i | −0.957396 | − | 0.288778i | \(-0.906751\pi\) |
0.684740 | − | 0.728787i | \(-0.259916\pi\) | |||||||
\(648\) | 0.248706 | − | 2.67557i | 0.00977009 | − | 0.105106i | ||||
\(649\) | −8.85362 | − | 15.3349i | −0.347535 | − | 0.601948i | ||||
\(650\) | −16.6014 | − | 10.1582i | −0.651159 | − | 0.398436i | ||||
\(651\) | 33.5902 | − | 11.1157i | 1.31650 | − | 0.435658i | ||||
\(652\) | −11.6144 | + | 3.11208i | −0.454856 | + | 0.121878i | ||||
\(653\) | −4.61361 | + | 4.61361i | −0.180545 | + | 0.180545i | −0.791593 | − | 0.611048i | \(-0.790748\pi\) |
0.611048 | + | 0.791593i | \(0.290748\pi\) | |||||||
\(654\) | 1.71307 | − | 19.2795i | 0.0669863 | − | 0.753887i | ||||
\(655\) | 1.38235 | − | 2.32527i | 0.0540128 | − | 0.0908560i | ||||
\(656\) | 7.52750 | − | 4.34600i | 0.293900 | − | 0.169683i | ||||
\(657\) | 2.09303 | − | 1.45711i | 0.0816568 | − | 0.0568474i | ||||
\(658\) | 59.9698 | − | 8.84284i | 2.33787 | − | 0.344730i | ||||
\(659\) | 24.6063 | − | 14.2065i | 0.958526 | − | 0.553405i | 0.0628067 | − | 0.998026i | \(-0.479995\pi\) |
0.895719 | + | 0.444621i | \(0.146662\pi\) | |||||||
\(660\) | −1.66569 | − | 10.2941i | −0.0648369 | − | 0.400698i | ||||
\(661\) | −1.88169 | + | 1.08639i | −0.0731891 | + | 0.0422558i | −0.536148 | − | 0.844124i | \(-0.680121\pi\) |
0.462959 | + | 0.886380i | \(0.346788\pi\) | |||||||
\(662\) | −14.4252 | + | 53.8354i | −0.560650 | + | 2.09237i | ||||
\(663\) | −3.46411 | + | 2.89874i | −0.134535 | + | 0.112578i | ||||
\(664\) | −2.12093 | − | 3.67355i | −0.0823080 | − | 0.142562i | ||||
\(665\) | 12.6346 | + | 5.19290i | 0.489951 | + | 0.201372i | ||||
\(666\) | −3.73696 | − | 10.3544i | −0.144804 | − | 0.401227i | ||||
\(667\) | 3.90249 | − | 14.5643i | 0.151105 | − | 0.563932i | ||||
\(668\) | −14.1711 | − | 14.1711i | −0.548295 | − | 0.548295i | ||||
\(669\) | 36.8198 | + | 3.27161i | 1.42354 | + | 0.126488i | ||||
\(670\) | 2.70198 | − | 4.54505i | 0.104387 | − | 0.175591i | ||||
\(671\) | −18.9452 | − | 10.9380i | −0.731373 | − | 0.422258i | ||||
\(672\) | −16.0565 | + | 31.9392i | −0.619392 | + | 1.23208i | ||||
\(673\) | 26.0590 | + | 6.98247i | 1.00450 | + | 0.269155i | 0.723329 | − | 0.690503i | \(-0.242611\pi\) |
0.281170 | + | 0.959658i | \(0.409278\pi\) | |||||||
\(674\) | −15.6866 | + | 9.05668i | −0.604227 | + | 0.348850i | ||||
\(675\) | −13.6502 | + | 22.1059i | −0.525397 | + | 0.850858i | ||||
\(676\) | −8.37256 | + | 14.5017i | −0.322021 | + | 0.557757i | ||||
\(677\) | −2.60304 | − | 9.71470i | −0.100043 | − | 0.373366i | 0.897693 | − | 0.440622i | \(-0.145242\pi\) |
−0.997736 | + | 0.0672562i | \(0.978576\pi\) | |||||||
\(678\) | 18.5145 | − | 15.4928i | 0.711045 | − | 0.594997i | ||||
\(679\) | −13.8371 | + | 18.6236i | −0.531019 | + | 0.714707i | ||||
\(680\) | 0.428958 | + | 0.765364i | 0.0164498 | + | 0.0293504i | ||||
\(681\) | −14.1541 | − | 9.93942i | −0.542386 | − | 0.380880i | ||||
\(682\) | −15.6049 | + | 15.6049i | −0.597543 | + | 0.597543i | ||||
\(683\) | −6.00597 | − | 22.4146i | −0.229812 | − | 0.857670i | −0.980419 | − | 0.196922i | \(-0.936906\pi\) |
0.750607 | − | 0.660749i | \(-0.229761\pi\) | |||||||
\(684\) | 12.5991 | + | 2.25679i | 0.481738 | + | 0.0862905i | ||||
\(685\) | 4.01564 | + | 15.7897i | 0.153430 | + | 0.603292i | ||||
\(686\) | 27.7625 | − | 23.4315i | 1.05998 | − | 0.894619i | ||||
\(687\) | 4.64652 | + | 26.5622i | 0.177276 | + | 1.01341i | ||||
\(688\) | 26.7759 | − | 26.7759i | 1.02082 | − | 1.02082i | ||||
\(689\) | 5.86607 | + | 10.1603i | 0.223480 | + | 0.387078i | ||||
\(690\) | 30.6647 | + | 37.6102i | 1.16738 | + | 1.43180i | ||||
\(691\) | −19.0598 | − | 11.0042i | −0.725068 | − | 0.418618i | 0.0915474 | − | 0.995801i | \(-0.470819\pi\) |
−0.816615 | + | 0.577183i | \(0.804152\pi\) | |||||||
\(692\) | −0.829270 | + | 0.829270i | −0.0315241 | + | 0.0315241i | ||||
\(693\) | 0.356673 | − | 11.5602i | 0.0135489 | − | 0.439137i | ||||
\(694\) | 20.6514i | 0.783918i | ||||||||
\(695\) | −18.5289 | + | 10.3848i | −0.702843 | + | 0.393917i | ||||
\(696\) | 1.21594 | + | 0.108041i | 0.0460899 | + | 0.00409530i | ||||
\(697\) | −0.690564 | + | 2.57722i | −0.0261570 | + | 0.0976192i | ||||
\(698\) | −17.9282 | − | 17.9282i | −0.678592 | − | 0.678592i | ||||
\(699\) | −2.80539 | + | 31.5729i | −0.106110 | + | 1.19420i | ||||
\(700\) | 19.5408 | − | 14.6856i | 0.738573 | − | 0.555063i | ||||
\(701\) | −23.0497 | −0.870575 | −0.435288 | − | 0.900291i | \(-0.643353\pi\) | ||||
−0.435288 | + | 0.900291i | \(0.643353\pi\) | |||||||
\(702\) | −17.4751 | − | 10.1842i | −0.659555 | − | 0.384378i | ||||
\(703\) | −4.17209 | + | 1.11791i | −0.157353 | + | 0.0421627i | ||||
\(704\) | − | 9.82047i | − | 0.370123i | ||||||
\(705\) | 45.0048 | + | 4.57828i | 1.69498 | + | 0.172428i | ||||
\(706\) | 41.0286 | + | 23.6878i | 1.54413 | + | 0.891504i | ||||
\(707\) | −29.7055 | − | 11.7684i | −1.11719 | − | 0.442595i | ||||
\(708\) | 13.3514 | − | 36.5286i | 0.501777 | − | 1.37283i | ||||
\(709\) | 26.6245 | + | 15.3717i | 0.999904 | + | 0.577295i | 0.908220 | − | 0.418493i | \(-0.137442\pi\) |
0.0916842 | + | 0.995788i | \(0.470775\pi\) | |||||||
\(710\) | 41.9578 | + | 11.8183i | 1.57465 | + | 0.443533i | ||||
\(711\) | 38.7040 | + | 6.93279i | 1.45151 | + | 0.260000i | ||||
\(712\) | 0.788119 | + | 0.211176i | 0.0295360 | + | 0.00791414i | ||||
\(713\) | 12.7642 | − | 47.6368i | 0.478024 | − | 1.78401i | ||||
\(714\) | −3.71135 | − | 11.2152i | −0.138894 | − | 0.419720i | ||||
\(715\) | 6.22349 | + | 1.75298i | 0.232745 | + | 0.0655576i | ||||
\(716\) | −43.5995 | −1.62939 | ||||||||
\(717\) | −2.78132 | + | 7.60950i | −0.103870 | + | 0.284182i | ||||
\(718\) | −23.0748 | + | 23.0748i | −0.861144 | + | 0.861144i | ||||
\(719\) | 11.1308 | + | 19.2792i | 0.415110 | + | 0.718991i | 0.995440 | − | 0.0953901i | \(-0.0304098\pi\) |
−0.580330 | + | 0.814381i | \(0.697077\pi\) | |||||||
\(720\) | −18.7986 | + | 21.7122i | −0.700584 | + | 0.809167i | ||||
\(721\) | 1.70871 | − | 0.739004i | 0.0636357 | − | 0.0275219i | ||||
\(722\) | −6.93945 | + | 25.8984i | −0.258259 | + | 0.963837i | ||||
\(723\) | −1.46510 | + | 0.256289i | −0.0544875 | + | 0.00953148i | ||||
\(724\) | 17.7786 | + | 30.7935i | 0.660737 | + | 1.14443i | ||||
\(725\) | −10.0676 | − | 6.16027i | −0.373903 | − | 0.228787i | ||||
\(726\) | −12.7088 | − | 27.3507i | −0.471666 | − | 1.01508i | ||||
\(727\) | 9.90758 | + | 2.65473i | 0.367452 | + | 0.0984584i | 0.437820 | − | 0.899063i | \(-0.355751\pi\) |
−0.0703681 | + | 0.997521i | \(0.522417\pi\) | |||||||
\(728\) | −0.973415 | − | 1.22867i | −0.0360771 | − | 0.0455375i | ||||
\(729\) | −13.6897 | + | 23.2721i | −0.507026 | + | 0.861931i | ||||
\(730\) | −3.72840 | − | 0.0475699i | −0.137994 | − | 0.00176064i | ||||
\(731\) | 11.6237i | 0.429920i | ||||||||
\(732\) | −8.27941 | − | 47.3299i | −0.306016 | − | 1.74936i | ||||
\(733\) | 18.7491 | + | 18.7491i | 0.692512 | + | 0.692512i | 0.962784 | − | 0.270272i | \(-0.0871135\pi\) |
−0.270272 | + | 0.962784i | \(0.587114\pi\) | |||||||
\(734\) | 3.34558 | − | 5.79471i | 0.123487 | − | 0.213887i | ||||
\(735\) | 24.3738 | − | 11.8708i | 0.899042 | − | 0.437862i | ||||
\(736\) | 24.9140 | + | 43.1523i | 0.918342 | + | 1.59062i | ||||
\(737\) | −0.454634 | + | 1.69672i | −0.0167467 | + | 0.0624994i | ||||
\(738\) | −11.9048 | + | 1.00903i | −0.438222 | + | 0.0371427i | ||||
\(739\) | 10.7884 | + | 6.22869i | 0.396858 | + | 0.229126i | 0.685127 | − | 0.728423i | \(-0.259747\pi\) |
−0.288269 | + | 0.957549i | \(0.593080\pi\) | |||||||
\(740\) | −2.09550 | + | 7.43955i | −0.0770323 | + | 0.273483i | ||||
\(741\) | −4.56078 | + | 6.49471i | −0.167544 | + | 0.238589i | ||||
\(742\) | −30.3554 | + | 4.47606i | −1.11438 | + | 0.164321i | ||||
\(743\) | −5.15543 | − | 19.2403i | −0.189134 | − | 0.705859i | −0.993708 | − | 0.112006i | \(-0.964273\pi\) |
0.804573 | − | 0.593853i | \(-0.202394\pi\) | |||||||
\(744\) | 3.97707 | + | 0.353381i | 0.145807 | + | 0.0129556i | ||||
\(745\) | 6.88022 | − | 11.5733i | 0.252072 | − | 0.424015i | ||||
\(746\) | 1.19799 | − | 2.07499i | 0.0438617 | − | 0.0759706i | ||||
\(747\) | 3.59965 | + | 42.4698i | 0.131704 | + | 1.55389i | ||||
\(748\) | 2.50207 | + | 2.50207i | 0.0914846 | + | 0.0914846i | ||||
\(749\) | 7.98088 | + | 5.92970i | 0.291615 | + | 0.216667i | ||||
\(750\) | 35.0358 | − | 14.6769i | 1.27933 | − | 0.535926i | ||||
\(751\) | 19.4894 | 0.711179 | 0.355589 | − | 0.934642i | \(-0.384280\pi\) | ||||
0.355589 | + | 0.934642i | \(0.384280\pi\) | |||||||
\(752\) | 48.3018 | + | 12.9424i | 1.76138 | + | 0.471961i | ||||
\(753\) | 17.7489 | − | 3.10482i | 0.646807 | − | 0.113146i | ||||
\(754\) | 4.59427 | − | 7.95751i | 0.167313 | − | 0.289795i | ||||
\(755\) | 5.36557 | + | 3.18977i | 0.195273 | + | 0.116088i | ||||
\(756\) | 19.9754 | − | 15.6938i | 0.726497 | − | 0.570776i | ||||
\(757\) | −2.53920 | − | 2.53920i | −0.0922888 | − | 0.0922888i | 0.659455 | − | 0.751744i | \(-0.270787\pi\) |
−0.751744 | + | 0.659455i | \(0.770787\pi\) | |||||||
\(758\) | 3.13642 | + | 11.7053i | 0.113920 | + | 0.425154i | ||||
\(759\) | −13.1931 | − | 9.26455i | −0.478877 | − | 0.336282i | ||||
\(760\) | 1.07603 | + | 1.10384i | 0.0390316 | + | 0.0400404i | ||||
\(761\) | − | 34.6005i | − | 1.25427i | −0.778912 | − | 0.627133i | \(-0.784228\pi\) | ||
0.778912 | − | 0.627133i | \(-0.215772\pi\) | |||||||
\(762\) | 19.6908 | − | 53.8728i | 0.713324 | − | 1.95161i | ||||
\(763\) | −11.8142 | + | 9.35979i | −0.427701 | + | 0.338847i | ||||
\(764\) | − | 31.2712i | − | 1.13135i | ||||||
\(765\) | −0.632414 | − | 8.79314i | −0.0228650 | − | 0.317917i | ||||
\(766\) | 9.95063 | + | 5.74500i | 0.359531 | + | 0.207575i | ||||
\(767\) | 17.0513 | + | 17.0513i | 0.615688 | + | 0.615688i | ||||
\(768\) | −24.1104 | + | 20.1754i | −0.870008 | + | 0.728016i | ||||
\(769\) | −2.28503 | + | 3.95779i | −0.0824004 | + | 0.142722i | −0.904281 | − | 0.426939i | \(-0.859592\pi\) |
0.821880 | + | 0.569660i | \(0.192925\pi\) | |||||||
\(770\) | −10.2573 | + | 13.4437i | −0.369648 | + | 0.484479i | ||||
\(771\) | 1.51118 | + | 1.06120i | 0.0544239 | + | 0.0382181i | ||||
\(772\) | 27.0448 | − | 7.24663i | 0.973363 | − | 0.260812i | ||||
\(773\) | 5.70230 | − | 1.52793i | 0.205097 | − | 0.0549557i | −0.154808 | − | 0.987945i | \(-0.549476\pi\) |
0.359905 | + | 0.932989i | \(0.382809\pi\) | |||||||
\(774\) | −48.9584 | + | 17.6693i | −1.75977 | + | 0.635109i | ||||
\(775\) | −32.9291 | − | 20.1490i | −1.18285 | − | 0.723772i | ||||
\(776\) | −2.26745 | + | 1.30911i | −0.0813966 | + | 0.0469944i | ||||
\(777\) | −3.85030 | + | 7.65894i | −0.138129 | + | 0.274763i | ||||
\(778\) | −15.1091 | − | 56.3878i | −0.541686 | − | 2.02160i | ||||
\(779\) | 4.68783i | 0.167959i | ||||||||
\(780\) | 5.81943 | + | 12.9541i | 0.208369 | + | 0.463829i | ||||
\(781\) | −14.4812 | −0.518177 | ||||||||
\(782\) | −15.9052 | − | 4.26177i | −0.568767 | − | 0.152401i | ||||
\(783\) | −10.5975 | − | 6.17606i | −0.378724 | − | 0.220714i | ||||
\(784\) | 28.6933 | − | 8.65000i | 1.02476 | − | 0.308929i | ||||
\(785\) | 9.94358 | + | 10.2006i | 0.354901 | + | 0.364075i | ||||
\(786\) | −3.72753 | + | 1.73203i | −0.132957 | + | 0.0617794i | ||||
\(787\) | −11.2081 | − | 3.00321i | −0.399527 | − | 0.107053i | 0.0534601 | − | 0.998570i | \(-0.482975\pi\) |
−0.452987 | + | 0.891517i | \(0.649642\pi\) | |||||||
\(788\) | 9.42081 | + | 2.52430i | 0.335603 | + | 0.0899244i | ||||
\(789\) | 38.9311 | + | 27.3385i | 1.38598 | + | 0.973278i | ||||
\(790\) | −40.1288 | − | 41.1660i | −1.42772 | − | 1.46462i | ||||
\(791\) | −18.6745 | − | 2.16464i | −0.663989 | − | 0.0769659i | ||||
\(792\) | 0.554792 | − | 1.18138i | 0.0197137 | − | 0.0419787i | ||||
\(793\) | 28.7764 | + | 7.71061i | 1.02188 | + | 0.273812i | ||||
\(794\) | −1.40992 | −0.0500363 | ||||||||
\(795\) | −22.7804 | − | 2.31742i | −0.807939 | − | 0.0821906i | ||||
\(796\) | − | 27.1703i | − | 0.963025i | ||||||
\(797\) | 7.43241 | + | 27.7381i | 0.263269 | + | 0.982534i | 0.963301 | + | 0.268423i | \(0.0865024\pi\) |
−0.700032 | + | 0.714112i | \(0.746831\pi\) | |||||||
\(798\) | −11.3985 | − | 17.3457i | −0.403503 | − | 0.614031i | ||||
\(799\) | −13.2934 | + | 7.67497i | −0.470288 | + | 0.271521i | ||||
\(800\) | 37.9206 | − | 9.13056i | 1.34070 | − | 0.322814i | ||||
\(801\) | −6.26599 | − | 5.28680i | −0.221398 | − | 0.186800i | ||||
\(802\) | −26.9121 | + | 7.21108i | −0.950300 | + | 0.254632i | ||||
\(803\) | 1.19650 | − | 0.320602i | 0.0422237 | − | 0.0113138i | ||||
\(804\) | −3.49886 | + | 1.62578i | −0.123395 | + | 0.0573367i | ||||
\(805\) | 4.82969 | − | 37.4790i | 0.170224 | − | 1.32096i | ||||
\(806\) | 15.0269 | − | 26.0274i | 0.529300 | − | 0.916774i | ||||
\(807\) | 2.15635 | + | 0.788159i | 0.0759072 | + | 0.0277445i | ||||
\(808\) | −2.54960 | − | 2.54960i | −0.0896947 | − | 0.0896947i | ||||
\(809\) | 33.6214 | + | 19.4113i | 1.18206 | + | 0.682465i | 0.956491 | − | 0.291761i | \(-0.0942413\pi\) |
0.225573 | + | 0.974226i | \(0.427575\pi\) | |||||||
\(810\) | 36.0748 | − | 16.0301i | 1.26754 | − | 0.563242i | ||||
\(811\) | 10.4382i | 0.366535i | 0.983063 | + | 0.183268i | \(0.0586675\pi\) | ||||
−0.983063 | + | 0.183268i | \(0.941333\pi\) | |||||||
\(812\) | 7.16636 | + | 9.04556i | 0.251490 | + | 0.317437i | ||||
\(813\) | −24.8793 | − | 29.7317i | −0.872555 | − | 1.04274i | ||||
\(814\) | − | 5.34682i | − | 0.187406i | ||||||
\(815\) | 10.1568 | + | 10.4194i | 0.355779 | + | 0.364975i | ||||
\(816\) | 0.862504 | − | 9.70692i | 0.0301937 | − | 0.339810i | ||||
\(817\) | 5.28575 | + | 19.7267i | 0.184925 | + | 0.690149i | ||||
\(818\) | 17.9203 | + | 17.9203i | 0.626569 | + | 0.626569i | ||||
\(819\) | 3.60542 | + | 15.3323i | 0.125984 | + | 0.535755i | ||||
\(820\) | 7.21061 | + | 4.28663i | 0.251806 | + | 0.149695i | ||||
\(821\) | 14.4981 | − | 25.1114i | 0.505987 | − | 0.876395i | −0.493989 | − | 0.869468i | \(-0.664462\pi\) |
0.999976 | − | 0.00692722i | \(-0.00220502\pi\) | |||||||
\(822\) | 8.49825 | − | 23.2506i | 0.296410 | − | 0.810959i | ||||
\(823\) | −51.1254 | − | 13.6990i | −1.78212 | − | 0.477518i | −0.791152 | − | 0.611619i | \(-0.790519\pi\) |
−0.990968 | + | 0.134101i | \(0.957185\pi\) | |||||||
\(824\) | 0.210086 | 0.00731868 | ||||||||
\(825\) | −9.88135 | + | 7.84883i | −0.344025 | + | 0.273261i | ||||
\(826\) | −57.8853 | + | 25.0350i | −2.01409 | + | 0.871077i | ||||
\(827\) | −20.1322 | − | 20.1322i | −0.700064 | − | 0.700064i | 0.264360 | − | 0.964424i | \(-0.414839\pi\) |
−0.964424 | + | 0.264360i | \(0.914839\pi\) | |||||||
\(828\) | −2.99041 | − | 35.2818i | −0.103924 | − | 1.22613i | ||||
\(829\) | 0.594627 | − | 1.02992i | 0.0206523 | − | 0.0357708i | −0.855515 | − | 0.517779i | \(-0.826759\pi\) |
0.876167 | + | 0.482008i | \(0.160092\pi\) | |||||||
\(830\) | 31.8443 | − | 53.5659i | 1.10533 | − | 1.85930i | ||||
\(831\) | 21.3388 | − | 30.3872i | 0.740234 | − | 1.05412i | ||||
\(832\) | 3.46140 | + | 12.9181i | 0.120002 | + | 0.447855i | ||||
\(833\) | −4.35052 | + | 8.10559i | −0.150736 | + | 0.280842i | ||||
\(834\) | 32.1471 | + | 2.85642i | 1.11316 | + | 0.0989096i | ||||
\(835\) | −6.57525 | + | 23.3437i | −0.227546 | + | 0.807844i | ||||
\(836\) | 5.38405 | + | 3.10848i | 0.186211 | + | 0.107509i | ||||
\(837\) | −34.6622 | − | 20.2006i | −1.19810 | − | 0.698235i | ||||
\(838\) | −17.8782 | + | 66.7223i | −0.617591 | + | 2.30488i | ||||
\(839\) | 14.3024 | + | 24.7725i | 0.493774 | + | 0.855242i | 0.999974 | − | 0.00717385i | \(-0.00228353\pi\) |
−0.506200 | + | 0.862416i | \(0.668950\pi\) | |||||||
\(840\) | 3.05631 | − | 0.137688i | 0.105453 | − | 0.00475069i | ||||
\(841\) | −11.7139 | + | 20.2890i | −0.403927 | + | 0.699622i | ||||
\(842\) | −0.684876 | − | 0.684876i | −0.0236024 | − | 0.0236024i | ||||
\(843\) | 18.6025 | − | 15.5665i | 0.640705 | − | 0.536137i | ||||
\(844\) | − | 49.0470i | − | 1.68827i | ||||||
\(845\) | 20.2621 | + | 0.258520i | 0.697038 | + | 0.00889335i | ||||
\(846\) | −52.5338 | − | 44.3244i | −1.80615 | − | 1.52390i | ||||
\(847\) | −8.65017 | + | 21.8346i | −0.297223 | + | 0.750245i | ||||
\(848\) | −24.4493 | − | 6.55117i | −0.839592 | − | 0.224968i | ||||
\(849\) | −29.5039 | − | 2.62155i | −1.01257 | − | 0.0899715i | ||||
\(850\) | −6.72742 | + | 10.9945i | −0.230748 | + | 0.377109i | ||||
\(851\) | 5.97431 | + | 10.3478i | 0.204797 | + | 0.354718i | ||||
\(852\) | −20.4117 | − | 24.3928i | −0.699294 | − | 0.835684i | ||||
\(853\) | 0.0354690 | − | 0.132372i | 0.00121444 | − | 0.00453234i | −0.965316 | − | 0.261085i | \(-0.915920\pi\) |
0.966530 | + | 0.256552i | \(0.0825865\pi\) | |||||||
\(854\) | −46.4679 | + | 62.5420i | −1.59010 | + | 2.14014i | ||||
\(855\) | −5.07184 | − | 14.6353i | −0.173453 | − | 0.500516i | ||||
\(856\) | 0.561002 | + | 0.971684i | 0.0191747 | + | 0.0332115i | ||||
\(857\) | 4.48614 | − | 4.48614i | 0.153244 | − | 0.153244i | −0.626321 | − | 0.779565i | \(-0.715440\pi\) |
0.779565 | + | 0.626321i | \(0.215440\pi\) | |||||||
\(858\) | −6.30463 | − | 7.53428i | −0.215236 | − | 0.257216i | ||||
\(859\) | −14.6421 | −0.499582 | −0.249791 | − | 0.968300i | \(-0.580362\pi\) | ||||
−0.249791 | + | 0.968300i | \(0.580362\pi\) | |||||||
\(860\) | 35.1761 | + | 9.90808i | 1.19949 | + | 0.337863i | ||||
\(861\) | 6.94769 | + | 6.18789i | 0.236776 | + | 0.210883i | ||||
\(862\) | 15.2823 | − | 57.0342i | 0.520516 | − | 1.94259i | ||||
\(863\) | −18.4915 | − | 4.95479i | −0.629459 | − | 0.168663i | −0.0700349 | − | 0.997545i | \(-0.522311\pi\) |
−0.559424 | + | 0.828881i | \(0.688978\pi\) | |||||||
\(864\) | 39.1957 | − | 10.3318i | 1.33346 | − | 0.351496i | ||||
\(865\) | 1.36604 | + | 0.384774i | 0.0464468 | + | 0.0130827i | ||||
\(866\) | 61.0149 | + | 35.2270i | 2.07337 | + | 1.19706i | ||||
\(867\) | −16.9765 | − | 20.2875i | −0.576551 | − | 0.689001i | ||||
\(868\) | 23.4397 | + | 29.5861i | 0.795594 | + | 1.00422i | ||||
\(869\) | 16.5396 | + | 9.54916i | 0.561069 | + | 0.323933i | ||||
\(870\) | 7.34892 | + | 16.3587i | 0.249152 | + | 0.554611i | ||||
\(871\) | − | 2.39215i | − | 0.0810550i | ||||||
\(872\) | −1.64294 | + | 0.440225i | −0.0556370 | + | 0.0149079i | ||||
\(873\) | 26.2139 | − | 2.22183i | 0.887205 | − | 0.0751975i | ||||
\(874\) | −28.9307 | −0.978594 | ||||||||
\(875\) | −27.0639 | − | 11.9393i | −0.914925 | − | 0.403623i | ||||
\(876\) | 2.22655 | + | 1.56355i | 0.0752282 | + | 0.0528275i | ||||
\(877\) | −24.2613 | − | 24.2613i | −0.819246 | − | 0.819246i | 0.166753 | − | 0.985999i | \(-0.446672\pi\) |
−0.985999 | + | 0.166753i | \(0.946672\pi\) | |||||||
\(878\) | −10.7348 | + | 40.0629i | −0.362283 | + | 1.35206i | ||||
\(879\) | −17.8996 | − | 38.5220i | −0.603738 | − | 1.29931i | ||||
\(880\) | −12.1686 | + | 6.82005i | −0.410204 | + | 0.229904i | ||||
\(881\) | 11.4266i | 0.384972i | 0.981300 | + | 0.192486i | \(0.0616550\pi\) | ||||
−0.981300 | + | 0.192486i | \(0.938345\pi\) | |||||||
\(882\) | −40.7534 | − | 6.00277i | −1.37224 | − | 0.202124i | ||||
\(883\) | −12.9730 | + | 12.9730i | −0.436577 | + | 0.436577i | −0.890858 | − | 0.454282i | \(-0.849896\pi\) |
0.454282 | + | 0.890858i | \(0.349896\pi\) | |||||||
\(884\) | −4.17318 | − | 2.40939i | −0.140359 | − | 0.0810365i | ||||
\(885\) | −46.4603 | + | 7.51773i | −1.56174 | + | 0.252706i | ||||
\(886\) | 6.12676 | + | 10.6119i | 0.205833 | + | 0.356513i | ||||
\(887\) | −21.3641 | + | 21.3641i | −0.717337 | + | 0.717337i | −0.968059 | − | 0.250722i | \(-0.919332\pi\) |
0.250722 | + | 0.968059i | \(0.419332\pi\) | |||||||
\(888\) | −0.741887 | + | 0.620805i | −0.0248961 | + | 0.0208329i | ||||
\(889\) | −40.9965 | + | 17.7307i | −1.37498 | + | 0.594667i | ||||
\(890\) | 2.95440 | + | 11.6168i | 0.0990316 | + | 0.389396i | ||||
\(891\) | −10.0917 | + | 8.37512i | −0.338084 | + | 0.280577i | ||||
\(892\) | 10.2065 | + | 38.0913i | 0.341740 | + | 1.27539i | ||||
\(893\) | −19.0702 | + | 19.0702i | −0.638161 | + | 0.638161i | ||||
\(894\) | −18.5526 | + | 8.62065i | −0.620493 | + | 0.288318i | ||||
\(895\) | 25.7954 | + | 46.0252i | 0.862246 | + | 1.53845i | ||||
\(896\) | 6.25927 | + | 0.725540i | 0.209108 | + | 0.0242386i | ||||
\(897\) | 20.6199 | + | 7.53671i | 0.688480 | + | 0.251643i | ||||
\(898\) | −4.77835 | − | 17.8330i | −0.159456 | − | 0.595096i | ||||
\(899\) | 9.11284 | − | 15.7839i | 0.303930 | − | 0.526422i | ||||
\(900\) | −27.1491 | − | 5.58144i | −0.904970 | − | 0.186048i | ||||
\(901\) | 6.72885 | − | 3.88490i | 0.224171 | − | 0.129425i | ||||
\(902\) | −5.60534 | − | 1.50195i | −0.186637 | − | 0.0500094i | ||||
\(903\) | 36.2134 | + | 18.2052i | 1.20511 | + | 0.605830i | ||||
\(904\) | −1.83726 | − | 1.06074i | −0.0611065 | − | 0.0352798i | ||||
\(905\) | 21.9881 | − | 36.9866i | 0.730909 | − | 1.22948i | ||||
\(906\) | −3.99666 | − | 8.60127i | −0.132780 | − | 0.285758i | ||||
\(907\) | 17.7535 | + | 17.7535i | 0.589495 | + | 0.589495i | 0.937495 | − | 0.347999i | \(-0.113139\pi\) |
−0.347999 | + | 0.937495i | \(0.613139\pi\) | |||||||
\(908\) | 4.77550 | − | 17.8224i | 0.158481 | − | 0.591458i | ||||
\(909\) | 12.2990 | + | 34.0784i | 0.407932 | + | 1.13031i | ||||
\(910\) | 8.75424 | − | 21.2996i | 0.290200 | − | 0.706076i | ||||
\(911\) | 8.01321 | + | 13.8793i | 0.265489 | + | 0.459841i | 0.967692 | − | 0.252136i | \(-0.0811331\pi\) |
−0.702202 | + | 0.711977i | \(0.747800\pi\) | |||||||
\(912\) | −2.95034 | − | 16.8658i | −0.0976955 | − | 0.558484i | ||||
\(913\) | −5.35812 | + | 19.9968i | −0.177328 | + | 0.661797i | ||||
\(914\) | 21.5955 | − | 12.4682i | 0.714316 | − | 0.412411i | ||||
\(915\) | −45.0647 | + | 36.7426i | −1.48979 | + | 1.21467i | ||||
\(916\) | −24.9134 | + | 14.3837i | −0.823160 | + | 0.475252i | ||||
\(917\) | 2.97575 | + | 1.17890i | 0.0982680 | + | 0.0389307i | ||||
\(918\) | −6.74466 | + | 11.5732i | −0.222607 | + | 0.381971i | ||||
\(919\) | −39.8961 | + | 23.0340i | −1.31605 | + | 0.759822i | −0.983091 | − | 0.183119i | \(-0.941381\pi\) |
−0.332960 | + | 0.942941i | \(0.608047\pi\) | |||||||
\(920\) | 2.17914 | − | 3.66557i | 0.0718441 | − | 0.120850i | ||||
\(921\) | 3.17476 | + | 2.22941i | 0.104612 | + | 0.0734615i | ||||
\(922\) | 45.8676 | − | 45.8676i | 1.51057 | − | 1.51057i | ||||
\(923\) | 19.0489 | − | 5.10414i | 0.627002 | − | 0.168005i | ||||
\(924\) | 11.7139 | − | 3.87636i | 0.385358 | − | 0.127523i | ||||
\(925\) | 9.09326 | − | 2.18948i | 0.298985 | − | 0.0719898i | ||||
\(926\) | −21.1881 | − | 36.6989i | −0.696285 | − | 1.20600i | ||||
\(927\) | −1.91073 | − | 0.897303i | −0.0627567 | − | 0.0294713i | ||||
\(928\) | 4.76601 | + | 17.7870i | 0.156452 | + | 0.583886i | ||||
\(929\) | 12.3597 | − | 21.4076i | 0.405509 | − | 0.702362i | −0.588872 | − | 0.808226i | \(-0.700428\pi\) |
0.994381 | + | 0.105865i | \(0.0337611\pi\) | |||||||
\(930\) | 24.0368 | + | 53.5058i | 0.788197 | + | 1.75453i | ||||
\(931\) | −3.69736 | + | 15.7344i | −0.121176 | + | 0.515673i | ||||
\(932\) | −32.6632 | + | 8.75207i | −1.06992 | + | 0.286683i | ||||
\(933\) | 36.4062 | + | 43.5069i | 1.19189 | + | 1.42435i | ||||
\(934\) | −4.79166 | −0.156788 | ||||||||
\(935\) | 1.16094 | − | 4.12161i | 0.0379667 | − | 0.134791i | ||||
\(936\) | −0.313389 | + | 1.74957i | −0.0102434 | + | 0.0571865i | ||||
\(937\) | 1.09516 | − | 1.09516i | 0.0357773 | − | 0.0357773i | −0.688992 | − | 0.724769i | \(-0.741946\pi\) |
0.724769 | + | 0.688992i | \(0.241946\pi\) | |||||||
\(938\) | 5.81649 | + | 2.30431i | 0.189915 | + | 0.0752384i | ||||
\(939\) | −13.9332 | − | 29.9859i | −0.454693 | − | 0.978554i | ||||
\(940\) | 11.8949 | + | 46.7711i | 0.387968 | + | 1.52550i | ||||
\(941\) | 41.3441 | − | 23.8700i | 1.34778 | − | 0.778141i | 0.359846 | − | 0.933012i | \(-0.382829\pi\) |
0.987935 | + | 0.154871i | \(0.0494961\pi\) | |||||||
\(942\) | −3.72966 | − | 21.3209i | −0.121519 | − | 0.694673i | ||||
\(943\) | 12.5263 | − | 3.35642i | 0.407913 | − | 0.109300i | ||||
\(944\) | −52.0258 | −1.69329 | ||||||||
\(945\) | −28.3852 | − | 11.8016i | −0.923372 | − | 0.383906i | ||||
\(946\) | −25.2811 | −0.821960 | ||||||||
\(947\) | −18.7976 | + | 5.03680i | −0.610839 | + | 0.163674i | −0.550960 | − | 0.834532i | \(-0.685738\pi\) |
−0.0598793 | + | 0.998206i | \(0.519072\pi\) | |||||||
\(948\) | 7.22812 | + | 41.3201i | 0.234758 | + | 1.34201i | ||||
\(949\) | −1.46091 | + | 0.843456i | −0.0474231 | + | 0.0273797i | ||||
\(950\) | −6.41750 | + | 21.7180i | −0.208211 | + | 0.704626i | ||||
\(951\) | 3.66939 | + | 7.89695i | 0.118988 | + | 0.256076i | ||||
\(952\) | −0.813705 | + | 0.644660i | −0.0263723 | + | 0.0208935i | ||||
\(953\) | −24.0861 | + | 24.0861i | −0.780226 | + | 0.780226i | −0.979869 | − | 0.199642i | \(-0.936022\pi\) |
0.199642 | + | 0.979869i | \(0.436022\pi\) | |||||||
\(954\) | 26.5915 | + | 22.4360i | 0.860931 | + | 0.726393i | ||||
\(955\) | −33.0110 | + | 18.5015i | −1.06821 | + | 0.598693i | ||||
\(956\) | −8.64326 | −0.279543 | ||||||||
\(957\) | −3.82335 | − | 4.56905i | −0.123591 | − | 0.147696i | ||||
\(958\) | 54.4065 | − | 14.5782i | 1.75779 | − | 0.470999i | ||||
\(959\) | −17.6934 | + | 7.65227i | −0.571351 | + | 0.247105i | ||||
\(960\) | −24.3995 | − | 9.27271i | −0.787491 | − | 0.299276i | ||||
\(961\) | 14.3062 | − | 24.7790i | 0.461490 | − | 0.799324i | ||||
\(962\) | 1.88458 | + | 7.03335i | 0.0607613 | + | 0.226764i | ||||
\(963\) | −0.952135 | − | 11.2336i | −0.0306821 | − | 0.361998i | ||||
\(964\) | −0.793366 | − | 1.37415i | −0.0255526 | − | 0.0442584i | ||||
\(965\) | −23.6507 | − | 24.2620i | −0.761344 | − | 0.781022i | ||||
\(966\) | −38.1882 | + | 42.8772i | −1.22868 | + | 1.37955i | ||||
\(967\) | −48.2831 | + | 12.9374i | −1.55268 | + | 0.416040i | −0.930337 | − | 0.366705i | \(-0.880486\pi\) |
−0.622343 | + | 0.782744i | \(0.713819\pi\) | |||||||
\(968\) | −1.87405 | + | 1.87405i | −0.0602341 | + | 0.0602341i | ||||
\(969\) | 4.30123 | + | 3.02045i | 0.138175 | + | 0.0970309i | ||||
\(970\) | −33.0628 | − | 19.6554i | −1.06158 | − | 0.631098i | ||||
\(971\) | 36.7484 | − | 21.2167i | 1.17931 | − | 0.680877i | 0.223458 | − | 0.974714i | \(-0.428266\pi\) |
0.955856 | + | 0.293837i | \(0.0949322\pi\) | |||||||
\(972\) | −28.3321 | − | 5.19392i | −0.908752 | − | 0.166595i | ||||
\(973\) | −15.6068 | − | 19.6992i | −0.500330 | − | 0.631529i | ||||
\(974\) | −31.3220 | + | 18.0838i | −1.00362 | + | 0.579442i | ||||
\(975\) | 10.2317 | − | 13.8074i | 0.327678 | − | 0.442191i | ||||
\(976\) | −55.6632 | + | 32.1371i | −1.78173 | + | 1.02868i | ||||
\(977\) | 4.00830 | − | 14.9592i | 0.128237 | − | 0.478586i | −0.871698 | − | 0.490044i | \(-0.836981\pi\) |
0.999934 | + | 0.0114580i | \(0.00364726\pi\) | |||||||
\(978\) | −3.80966 | − | 21.7782i | −0.121819 | − | 0.696390i | ||||
\(979\) | −1.99103 | − | 3.44857i | −0.0636336 | − | 0.110217i | ||||
\(980\) | 20.8210 | + | 20.0748i | 0.665102 | + | 0.641268i | ||||
\(981\) | 16.8229 | + | 3.01337i | 0.537112 | + | 0.0962094i | ||||
\(982\) | 14.4037 | − | 53.7554i | 0.459641 | − | 1.71540i | ||||
\(983\) | 30.4476 | + | 30.4476i | 0.971128 | + | 0.971128i | 0.999595 | − | 0.0284668i | \(-0.00906249\pi\) |
−0.0284668 | + | 0.999595i | \(0.509062\pi\) | |||||||
\(984\) | 0.442422 | + | 0.952144i | 0.0141039 | + | 0.0303532i | ||||
\(985\) | −2.90904 | − | 11.4384i | −0.0926896 | − | 0.364459i | ||||
\(986\) | −5.26999 | − | 3.04263i | −0.167831 | − | 0.0968971i | ||||
\(987\) | 3.09087 | + | 53.4359i | 0.0983833 | + | 1.70088i | ||||
\(988\) | −8.17795 | − | 2.19128i | −0.260175 | − | 0.0697138i | ||||
\(989\) | 48.9270 | − | 28.2480i | 1.55579 | − | 0.898235i | ||||
\(990\) | 19.1247 | − | 1.37547i | 0.607823 | − | 0.0437154i | ||||
\(991\) | −9.51946 | + | 16.4882i | −0.302396 | + | 0.523765i | −0.976678 | − | 0.214709i | \(-0.931120\pi\) |
0.674282 | + | 0.738474i | \(0.264453\pi\) | |||||||
\(992\) | 15.5886 | + | 58.1775i | 0.494939 | + | 1.84714i | ||||
\(993\) | −46.2222 | − | 16.8945i | −1.46682 | − | 0.536130i | ||||
\(994\) | −5.93875 | + | 51.2339i | −0.188366 | + | 1.62504i | ||||
\(995\) | −28.6819 | + | 16.0752i | −0.909279 | + | 0.509617i | ||||
\(996\) | −41.2360 | + | 19.1607i | −1.30661 | + | 0.607129i | ||||
\(997\) | 7.59316 | − | 7.59316i | 0.240478 | − | 0.240478i | −0.576570 | − | 0.817048i | \(-0.695609\pi\) |
0.817048 | + | 0.576570i | \(0.195609\pi\) | |||||||
\(998\) | −0.506357 | − | 1.88975i | −0.0160285 | − | 0.0598190i | ||||
\(999\) | 9.39901 | − | 2.47754i | 0.297372 | − | 0.0783859i |
(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 | 315.2.cg.e.157.8 | yes | 160 | |
3.2 | odd | 2 | 945.2.cj.e.577.33 | 160 | |||
5.3 | odd | 4 | inner | 315.2.cg.e.283.33 | yes | 160 | |
7.5 | odd | 6 | 315.2.bs.e.292.33 | yes | 160 | ||
9.2 | odd | 6 | 945.2.bv.e.262.8 | 160 | |||
9.7 | even | 3 | 315.2.bs.e.52.33 | ✓ | 160 | ||
15.8 | even | 4 | 945.2.cj.e.388.8 | 160 | |||
21.5 | even | 6 | 945.2.bv.e.712.8 | 160 | |||
35.33 | even | 12 | 315.2.bs.e.103.33 | yes | 160 | ||
45.38 | even | 12 | 945.2.bv.e.73.8 | 160 | |||
45.43 | odd | 12 | 315.2.bs.e.178.33 | yes | 160 | ||
63.47 | even | 6 | 945.2.cj.e.397.8 | 160 | |||
63.61 | odd | 6 | inner | 315.2.cg.e.187.33 | yes | 160 | |
105.68 | odd | 12 | 945.2.bv.e.523.8 | 160 | |||
315.173 | odd | 12 | 945.2.cj.e.208.33 | 160 | |||
315.313 | even | 12 | inner | 315.2.cg.e.313.8 | yes | 160 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
315.2.bs.e.52.33 | ✓ | 160 | 9.7 | even | 3 | ||
315.2.bs.e.103.33 | yes | 160 | 35.33 | even | 12 | ||
315.2.bs.e.178.33 | yes | 160 | 45.43 | odd | 12 | ||
315.2.bs.e.292.33 | yes | 160 | 7.5 | odd | 6 | ||
315.2.cg.e.157.8 | yes | 160 | 1.1 | even | 1 | trivial | |
315.2.cg.e.187.33 | yes | 160 | 63.61 | odd | 6 | inner | |
315.2.cg.e.283.33 | yes | 160 | 5.3 | odd | 4 | inner | |
315.2.cg.e.313.8 | yes | 160 | 315.313 | even | 12 | inner | |
945.2.bv.e.73.8 | 160 | 45.38 | even | 12 | |||
945.2.bv.e.262.8 | 160 | 9.2 | odd | 6 | |||
945.2.bv.e.523.8 | 160 | 105.68 | odd | 12 | |||
945.2.bv.e.712.8 | 160 | 21.5 | even | 6 | |||
945.2.cj.e.208.33 | 160 | 315.173 | odd | 12 | |||
945.2.cj.e.388.8 | 160 | 15.8 | even | 4 | |||
945.2.cj.e.397.8 | 160 | 63.47 | even | 6 | |||
945.2.cj.e.577.33 | 160 | 3.2 | odd | 2 |