Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [403,2,Mod(24,403)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(403, base_ring=CyclotomicField(60))
chi = DirichletCharacter(H, H._module([35, 26]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("403.24");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 403 = 13 \cdot 31 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 403.cc (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: | \(3.21797120146\) |
Analytic rank: | \(0\) |
Dimension: | \(560\) |
Relative dimension: | \(35\) over \(\Q(\zeta_{60})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{60}]$ |
Embedding invariants
Embedding label | 24.14 | ||
Character | \(\chi\) | \(=\) | 403.24 |
Dual form | 403.2.cc.a.84.14 |
$q$-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 \(\left(\mathbb{Z}/403\mathbb{Z}\right)^\times\).
\(n\) | \(249\) | \(313\) |
\(\chi(n)\) | \(e\left(\frac{7}{12}\right)\) | \(e\left(\frac{13}{30}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.690768 | + | 0.0362016i | −0.488447 | + | 0.0255984i | −0.294970 | − | 0.955506i | \(-0.595310\pi\) |
−0.193477 | + | 0.981105i | \(0.561976\pi\) | |||||||
\(3\) | 0.0986013 | − | 0.0887810i | 0.0569275 | − | 0.0512577i | −0.640176 | − | 0.768228i | \(-0.721139\pi\) |
0.697103 | + | 0.716971i | \(0.254472\pi\) | |||||||
\(4\) | −1.51319 | + | 0.159043i | −0.756597 | + | 0.0795215i | ||||
\(5\) | 3.88062 | − | 1.03981i | 1.73547 | − | 0.465017i | 0.754036 | − | 0.656833i | \(-0.228104\pi\) |
0.981431 | + | 0.191816i | \(0.0614378\pi\) | |||||||
\(6\) | −0.0648966 | + | 0.0648966i | −0.0264939 | + | 0.0264939i | ||||
\(7\) | −0.213808 | + | 1.34993i | −0.0808117 | + | 0.510225i | 0.913767 | + | 0.406239i | \(0.133160\pi\) |
−0.994579 | + | 0.103986i | \(0.966840\pi\) | |||||||
\(8\) | 2.40591 | − | 0.381058i | 0.850617 | − | 0.134724i | ||||
\(9\) | −0.311745 | + | 2.96606i | −0.103915 | + | 0.988686i | ||||
\(10\) | −2.64297 | + | 0.858752i | −0.835779 | + | 0.271561i | ||||
\(11\) | −3.10197 | − | 0.491304i | −0.935280 | − | 0.148134i | −0.329851 | − | 0.944033i | \(-0.606998\pi\) |
−0.605429 | + | 0.795899i | \(0.706998\pi\) | |||||||
\(12\) | −0.135083 | + | 0.150025i | −0.0389951 | + | 0.0433084i | ||||
\(13\) | 3.36759 | + | 1.28815i | 0.934002 | + | 0.357269i | ||||
\(14\) | 0.0988219 | − | 0.940228i | 0.0264113 | − | 0.251286i | ||||
\(15\) | 0.290319 | − | 0.447052i | 0.0749600 | − | 0.115428i | ||||
\(16\) | 1.32843 | − | 0.282367i | 0.332108 | − | 0.0705917i | ||||
\(17\) | −0.437926 | − | 0.318172i | −0.106213 | − | 0.0771680i | 0.533411 | − | 0.845856i | \(-0.320910\pi\) |
−0.639624 | + | 0.768688i | \(0.720910\pi\) | |||||||
\(18\) | 0.107968 | − | 2.06014i | 0.0254482 | − | 0.485580i | ||||
\(19\) | 2.26286 | − | 4.44112i | 0.519136 | − | 1.01886i | −0.471440 | − | 0.881898i | \(-0.656265\pi\) |
0.990576 | − | 0.136964i | \(-0.0437345\pi\) | |||||||
\(20\) | −5.70676 | + | 2.19062i | −1.27607 | + | 0.489837i | ||||
\(21\) | 0.0987663 | + | 0.152087i | 0.0215526 | + | 0.0331881i | ||||
\(22\) | 2.16053 | + | 0.227081i | 0.460626 | + | 0.0484138i | ||||
\(23\) | −0.253728 | + | 2.41406i | −0.0529060 | + | 0.503367i | 0.935695 | + | 0.352809i | \(0.114774\pi\) |
−0.988601 | + | 0.150558i | \(0.951893\pi\) | |||||||
\(24\) | 0.203395 | − | 0.251172i | 0.0415178 | − | 0.0512702i | ||||
\(25\) | 9.64789 | − | 5.57021i | 1.92958 | − | 1.11404i | ||||
\(26\) | −2.37286 | − | 0.767901i | −0.465356 | − | 0.150598i | ||||
\(27\) | 0.466555 | + | 0.642158i | 0.0897886 | + | 0.123583i | ||||
\(28\) | 0.108836 | − | 2.07671i | 0.0205680 | − | 0.392461i | ||||
\(29\) | 6.70840 | + | 6.04027i | 1.24572 | + | 1.12165i | 0.987840 | + | 0.155472i | \(0.0496899\pi\) |
0.257878 | + | 0.966177i | \(0.416977\pi\) | |||||||
\(30\) | −0.184359 | + | 0.319319i | −0.0336592 | + | 0.0582995i | ||||
\(31\) | 3.68592 | + | 4.17301i | 0.662011 | + | 0.749494i | ||||
\(32\) | −5.61321 | + | 1.50405i | −0.992284 | + | 0.265882i | ||||
\(33\) | −0.349477 | + | 0.226953i | −0.0608361 | + | 0.0395074i | ||||
\(34\) | 0.314023 | + | 0.203929i | 0.0538546 | + | 0.0349736i | ||||
\(35\) | 0.573962 | + | 5.46088i | 0.0970172 | + | 0.923057i | ||||
\(36\) | − | 4.53780i | − | 0.756300i | ||||||
\(37\) | −1.57986 | + | 0.423323i | −0.259728 | + | 0.0695939i | −0.386333 | − | 0.922359i | \(-0.626259\pi\) |
0.126605 | + | 0.991953i | \(0.459592\pi\) | |||||||
\(38\) | −1.40234 | + | 3.14970i | −0.227489 | + | 0.510949i | ||||
\(39\) | 0.446412 | − | 0.171965i | 0.0714832 | − | 0.0275364i | ||||
\(40\) | 8.94019 | − | 3.98043i | 1.41357 | − | 0.629361i | ||||
\(41\) | 2.72535 | − | 5.34879i | 0.425628 | − | 0.835341i | −0.574234 | − | 0.818691i | \(-0.694700\pi\) |
0.999861 | − | 0.0166500i | \(-0.00530009\pi\) | |||||||
\(42\) | −0.0737304 | − | 0.101481i | −0.0113768 | − | 0.0156589i | ||||
\(43\) | 2.28334 | + | 7.02741i | 0.348206 | + | 1.07167i | 0.959845 | + | 0.280532i | \(0.0905108\pi\) |
−0.611638 | + | 0.791138i | \(0.709489\pi\) | |||||||
\(44\) | 4.77202 | + | 0.250091i | 0.719410 | + | 0.0377027i | ||||
\(45\) | 1.87437 | + | 11.8343i | 0.279415 | + | 1.76415i | ||||
\(46\) | 0.0878743 | − | 1.67674i | 0.0129564 | − | 0.247222i | ||||
\(47\) | −0.961165 | − | 1.88639i | −0.140200 | − | 0.275159i | 0.810221 | − | 0.586125i | \(-0.199347\pi\) |
−0.950421 | + | 0.310966i | \(0.899347\pi\) | |||||||
\(48\) | 0.105916 | − | 0.145781i | 0.0152877 | − | 0.0210417i | ||||
\(49\) | 4.88080 | + | 1.58587i | 0.697257 | + | 0.226553i | ||||
\(50\) | −6.46281 | + | 4.19699i | −0.913979 | + | 0.593545i | ||||
\(51\) | −0.0714276 | + | 0.00750735i | −0.0100019 | + | 0.00105124i | ||||
\(52\) | −5.30069 | − | 1.41363i | −0.735073 | − | 0.196035i | ||||
\(53\) | −3.87605 | − | 8.70575i | −0.532416 | − | 1.19583i | −0.956907 | − | 0.290394i | \(-0.906214\pi\) |
0.424491 | − | 0.905432i | \(-0.360453\pi\) | |||||||
\(54\) | −0.345529 | − | 0.426692i | −0.0470205 | − | 0.0580655i | ||||
\(55\) | −12.5484 | + | 1.31889i | −1.69203 | + | 0.177840i | ||||
\(56\) | 3.32928i | 0.444893i | ||||||||
\(57\) | −0.171166 | − | 0.638799i | −0.0226715 | − | 0.0846110i | ||||
\(58\) | −4.85261 | − | 3.92957i | −0.637179 | − | 0.515978i | ||||
\(59\) | −5.53340 | − | 10.8599i | −0.720388 | − | 1.41384i | −0.902556 | − | 0.430573i | \(-0.858311\pi\) |
0.182168 | − | 0.983267i | \(-0.441689\pi\) | |||||||
\(60\) | −0.368208 | + | 0.722650i | −0.0475355 | + | 0.0932937i | ||||
\(61\) | −5.03517 | − | 2.90706i | −0.644687 | − | 0.372210i | 0.141730 | − | 0.989905i | \(-0.454733\pi\) |
−0.786418 | + | 0.617695i | \(0.788067\pi\) | |||||||
\(62\) | −2.69718 | − | 2.74914i | −0.342543 | − | 0.349142i | ||||
\(63\) | −3.93731 | − | 1.05500i | −0.496055 | − | 0.132917i | ||||
\(64\) | 1.23970 | − | 0.402803i | 0.154962 | − | 0.0503503i | ||||
\(65\) | 14.4078 | + | 1.49717i | 1.78706 | + | 0.185701i | ||||
\(66\) | 0.233191 | − | 0.169423i | 0.0287039 | − | 0.0208546i | ||||
\(67\) | −9.14951 | − | 9.14951i | −1.11779 | − | 1.11779i | −0.992065 | − | 0.125725i | \(-0.959874\pi\) |
−0.125725 | − | 0.992065i | \(-0.540126\pi\) | |||||||
\(68\) | 0.713269 | + | 0.411806i | 0.0864966 | + | 0.0499389i | ||||
\(69\) | 0.189305 | + | 0.260556i | 0.0227896 | + | 0.0313672i | ||||
\(70\) | −0.594167 | − | 3.75142i | −0.0710166 | − | 0.448381i | ||||
\(71\) | −3.87700 | + | 3.13953i | −0.460115 | + | 0.372594i | −0.831171 | − | 0.556017i | \(-0.812329\pi\) |
0.371056 | + | 0.928610i | \(0.378996\pi\) | |||||||
\(72\) | 0.380211 | + | 7.25486i | 0.0448083 | + | 0.854993i | ||||
\(73\) | −3.31106 | + | 4.08881i | −0.387530 | + | 0.478560i | −0.933157 | − | 0.359468i | \(-0.882958\pi\) |
0.545627 | + | 0.838028i | \(0.316291\pi\) | |||||||
\(74\) | 1.07599 | − | 0.349612i | 0.125082 | − | 0.0406415i | ||||
\(75\) | 0.456766 | − | 1.40578i | 0.0527428 | − | 0.162325i | ||||
\(76\) | −2.71782 | + | 7.08017i | −0.311756 | + | 0.812151i | ||||
\(77\) | 1.32645 | − | 4.08240i | 0.151163 | − | 0.465232i | ||||
\(78\) | −0.302142 | + | 0.134949i | −0.0342108 | + | 0.0152799i | ||||
\(79\) | −0.974174 | − | 0.102390i | −0.109603 | − | 0.0115198i | 0.0495681 | − | 0.998771i | \(-0.484216\pi\) |
−0.159171 | + | 0.987251i | \(0.550882\pi\) | |||||||
\(80\) | 4.86153 | − | 2.47707i | 0.543536 | − | 0.276945i | ||||
\(81\) | −8.64866 | − | 1.83833i | −0.960962 | − | 0.204259i | ||||
\(82\) | −1.68895 | + | 3.79344i | −0.186513 | + | 0.418915i | ||||
\(83\) | 9.91104 | − | 6.43631i | 1.08788 | − | 0.706476i | 0.129386 | − | 0.991594i | \(-0.458699\pi\) |
0.958492 | + | 0.285118i | \(0.0920327\pi\) | |||||||
\(84\) | −0.173641 | − | 0.214429i | −0.0189458 | − | 0.0233961i | ||||
\(85\) | −2.03026 | − | 0.779344i | −0.220213 | − | 0.0845318i | ||||
\(86\) | −1.83166 | − | 4.77165i | −0.197513 | − | 0.514540i | ||||
\(87\) | 1.19772 | 0.128409 | ||||||||
\(88\) | −7.65027 | −0.815522 | ||||||||
\(89\) | 5.75979 | + | 15.0048i | 0.610536 | + | 1.59050i | 0.794297 | + | 0.607530i | \(0.207839\pi\) |
−0.183761 | + | 0.982971i | \(0.558827\pi\) | |||||||
\(90\) | −1.72318 | − | 8.10690i | −0.181639 | − | 0.854543i | ||||
\(91\) | −2.45893 | + | 4.27059i | −0.257766 | + | 0.447680i | ||||
\(92\) | − | 3.69330i | − | 0.385053i | ||||||
\(93\) | 0.733920 | + | 0.0842244i | 0.0761040 | + | 0.00873366i | ||||
\(94\) | 0.732233 | + | 1.26826i | 0.0755240 | + | 0.130811i | ||||
\(95\) | 4.16340 | − | 19.5872i | 0.427156 | − | 2.00961i | ||||
\(96\) | −0.419938 | + | 0.646648i | −0.0428598 | + | 0.0659982i | ||||
\(97\) | 2.77783 | − | 3.43033i | 0.282046 | − | 0.348297i | −0.616360 | − | 0.787465i | \(-0.711393\pi\) |
0.898405 | + | 0.439168i | \(0.144727\pi\) | |||||||
\(98\) | −3.42891 | − | 0.918774i | −0.346373 | − | 0.0928102i | ||||
\(99\) | 2.42426 | − | 9.04747i | 0.243647 | − | 0.909305i | ||||
\(100\) | −13.7132 | + | 9.96324i | −1.37132 | + | 0.996324i | ||||
\(101\) | −12.7364 | − | 1.33865i | −1.26732 | − | 0.133200i | −0.553094 | − | 0.833119i | \(-0.686553\pi\) |
−0.714223 | + | 0.699919i | \(0.753220\pi\) | |||||||
\(102\) | 0.0490681 | − | 0.00777163i | 0.00485847 | − | 0.000769506i | ||||
\(103\) | −2.18017 | + | 10.2569i | −0.214819 | + | 1.01064i | 0.730100 | + | 0.683340i | \(0.239473\pi\) |
−0.944919 | + | 0.327304i | \(0.893860\pi\) | |||||||
\(104\) | 8.59297 | + | 1.81592i | 0.842610 | + | 0.178066i | ||||
\(105\) | 0.541416 | + | 0.487493i | 0.0528368 | + | 0.0475745i | ||||
\(106\) | 2.99261 | + | 5.87333i | 0.290668 | + | 0.570468i | ||||
\(107\) | −3.81316 | + | 1.69773i | −0.368632 | + | 0.164126i | −0.582688 | − | 0.812696i | \(-0.697999\pi\) |
0.214056 | + | 0.976821i | \(0.431332\pi\) | |||||||
\(108\) | −0.808119 | − | 0.897507i | −0.0777613 | − | 0.0863627i | ||||
\(109\) | −9.11461 | + | 4.64413i | −0.873021 | + | 0.444827i | −0.832288 | − | 0.554343i | \(-0.812969\pi\) |
−0.0407333 | + | 0.999170i | \(0.512969\pi\) | |||||||
\(110\) | 8.62032 | − | 1.36532i | 0.821915 | − | 0.130179i | ||||
\(111\) | −0.118194 | + | 0.182002i | −0.0112184 | + | 0.0172749i | ||||
\(112\) | 0.0971461 | + | 1.85366i | 0.00917945 | + | 0.175154i | ||||
\(113\) | −9.68309 | − | 4.31119i | −0.910909 | − | 0.405563i | −0.102872 | − | 0.994695i | \(-0.532803\pi\) |
−0.808037 | + | 0.589132i | \(0.799470\pi\) | |||||||
\(114\) | 0.141361 | + | 0.435066i | 0.0132397 | + | 0.0407476i | ||||
\(115\) | 1.52554 | + | 9.63189i | 0.142257 | + | 0.898178i | ||||
\(116\) | −11.1118 | − | 8.07317i | −1.03170 | − | 0.749575i | ||||
\(117\) | −4.87056 | + | 9.58689i | −0.450283 | + | 0.886309i | ||||
\(118\) | 4.21544 | + | 7.30136i | 0.388063 | + | 0.672145i | ||||
\(119\) | 0.523141 | − | 0.523141i | 0.0479562 | − | 0.0479562i | ||||
\(120\) | 0.528128 | − | 1.18619i | 0.0482113 | − | 0.108284i | ||||
\(121\) | −1.08077 | − | 0.351164i | −0.0982519 | − | 0.0319240i | ||||
\(122\) | 3.58337 | + | 1.82582i | 0.324423 | + | 0.165302i | ||||
\(123\) | −0.206149 | − | 0.769357i | −0.0185878 | − | 0.0693706i | ||||
\(124\) | −6.24120 | − | 5.72835i | −0.560476 | − | 0.514421i | ||||
\(125\) | 17.4438 | − | 17.4438i | 1.56022 | − | 1.56022i | ||||
\(126\) | 2.75796 | + | 0.586223i | 0.245699 | + | 0.0522249i | ||||
\(127\) | 0.390932 | + | 0.434174i | 0.0346896 | + | 0.0385267i | 0.760240 | − | 0.649642i | \(-0.225081\pi\) |
−0.725550 | + | 0.688169i | \(0.758415\pi\) | |||||||
\(128\) | 10.0087 | − | 3.84199i | 0.884654 | − | 0.339587i | ||||
\(129\) | 0.849041 | + | 0.490194i | 0.0747539 | + | 0.0431592i | ||||
\(130\) | −10.0066 | − | 0.512614i | −0.877640 | − | 0.0449592i | ||||
\(131\) | −16.7977 | − | 7.47881i | −1.46762 | − | 0.653426i | −0.491543 | − | 0.870853i | \(-0.663567\pi\) |
−0.976077 | + | 0.217427i | \(0.930234\pi\) | |||||||
\(132\) | 0.492731 | − | 0.399006i | 0.0428867 | − | 0.0347290i | ||||
\(133\) | 5.51138 | + | 4.00425i | 0.477897 | + | 0.347212i | ||||
\(134\) | 6.65141 | + | 5.98896i | 0.574595 | + | 0.517367i | ||||
\(135\) | 2.47825 | + | 2.00684i | 0.213293 | + | 0.172722i | ||||
\(136\) | −1.17485 | − | 0.598616i | −0.100743 | − | 0.0513309i | ||||
\(137\) | 14.1752 | + | 9.20550i | 1.21107 | + | 0.786479i | 0.982357 | − | 0.187014i | \(-0.0598810\pi\) |
0.228715 | + | 0.973493i | \(0.426548\pi\) | |||||||
\(138\) | −0.140198 | − | 0.173131i | −0.0119345 | − | 0.0147378i | ||||
\(139\) | −0.576547 | + | 0.519125i | −0.0489021 | + | 0.0440316i | −0.693219 | − | 0.720727i | \(-0.743808\pi\) |
0.644317 | + | 0.764758i | \(0.277142\pi\) | |||||||
\(140\) | −1.73703 | − | 8.17209i | −0.146806 | − | 0.690667i | ||||
\(141\) | −0.262248 | − | 0.100668i | −0.0220853 | − | 0.00847774i | ||||
\(142\) | 2.56445 | − | 2.30904i | 0.215204 | − | 0.193771i | ||||
\(143\) | −9.81330 | − | 5.65032i | −0.820629 | − | 0.472503i | ||||
\(144\) | 0.423384 | + | 4.02823i | 0.0352820 | + | 0.335686i | ||||
\(145\) | 32.3135 | + | 16.4645i | 2.68349 | + | 1.36731i | ||||
\(146\) | 2.13915 | − | 2.94429i | 0.177037 | − | 0.243671i | ||||
\(147\) | 0.622048 | − | 0.276954i | 0.0513057 | − | 0.0228428i | ||||
\(148\) | 2.32331 | − | 0.891836i | 0.190975 | − | 0.0733085i | ||||
\(149\) | −11.1732 | − | 11.1732i | −0.915347 | − | 0.915347i | 0.0813391 | − | 0.996686i | \(-0.474080\pi\) |
−0.996686 | + | 0.0813391i | \(0.974080\pi\) | |||||||
\(150\) | −0.264628 | + | 0.987604i | −0.0216068 | + | 0.0806375i | ||||
\(151\) | −20.8192 | − | 3.29743i | −1.69424 | − | 0.268341i | −0.766684 | − | 0.642024i | \(-0.778095\pi\) |
−0.927556 | + | 0.373683i | \(0.878095\pi\) | |||||||
\(152\) | 3.75191 | − | 11.5472i | 0.304320 | − | 0.936602i | ||||
\(153\) | 1.08024 | − | 1.19972i | 0.0873320 | − | 0.0969920i | ||||
\(154\) | −0.768480 | + | 2.86801i | −0.0619259 | + | 0.231111i | ||||
\(155\) | 18.6428 | + | 12.3612i | 1.49743 | + | 0.992877i | ||||
\(156\) | −0.648158 | + | 0.331215i | −0.0518942 | + | 0.0265184i | ||||
\(157\) | −0.775826 | − | 2.38775i | −0.0619177 | − | 0.190563i | 0.915313 | − | 0.402744i | \(-0.131943\pi\) |
−0.977230 | + | 0.212181i | \(0.931943\pi\) | |||||||
\(158\) | 0.676635 | + | 0.0354609i | 0.0538302 | + | 0.00282112i | ||||
\(159\) | −1.15509 | − | 0.514278i | −0.0916045 | − | 0.0407849i | ||||
\(160\) | −20.2188 | + | 11.6733i | −1.59844 | + | 0.922858i | ||||
\(161\) | −3.20456 | − | 0.858660i | −0.252555 | − | 0.0676719i | ||||
\(162\) | 6.04076 | + | 0.956763i | 0.474607 | + | 0.0751704i | ||||
\(163\) | 5.63803 | − | 14.6876i | 0.441604 | − | 1.15042i | −0.514525 | − | 0.857475i | \(-0.672032\pi\) |
0.956130 | − | 0.292944i | \(-0.0946349\pi\) | |||||||
\(164\) | −3.27329 | + | 8.52721i | −0.255601 | + | 0.665863i | ||||
\(165\) | −1.12020 | + | 1.24411i | −0.0872074 | + | 0.0968537i | ||||
\(166\) | −6.61323 | + | 4.80479i | −0.513286 | + | 0.372924i | ||||
\(167\) | 5.45812 | + | 8.40476i | 0.422362 | + | 0.650380i | 0.984240 | − | 0.176840i | \(-0.0565875\pi\) |
−0.561878 | + | 0.827220i | \(0.689921\pi\) | |||||||
\(168\) | 0.295577 | + | 0.328271i | 0.0228042 | + | 0.0253267i | ||||
\(169\) | 9.68134 | + | 8.67593i | 0.744718 | + | 0.667379i | ||||
\(170\) | 1.43065 | + | 0.464847i | 0.109726 | + | 0.0356522i | ||||
\(171\) | 12.4672 | + | 8.09628i | 0.953389 | + | 0.619138i | ||||
\(172\) | −4.57280 | − | 10.2707i | −0.348673 | − | 0.783132i | ||||
\(173\) | 0.00351983 | + | 0.0165595i | 0.000267608 | + | 0.00125900i | 0.978281 | − | 0.207282i | \(-0.0664618\pi\) |
−0.978014 | + | 0.208541i | \(0.933128\pi\) | |||||||
\(174\) | −0.827345 | + | 0.0433593i | −0.0627209 | + | 0.00328706i | ||||
\(175\) | 5.45660 | + | 14.2149i | 0.412480 | + | 1.07455i | ||||
\(176\) | −4.25948 | + | 0.223230i | −0.321071 | + | 0.0168266i | ||||
\(177\) | −1.50976 | − | 0.579541i | −0.113480 | − | 0.0435609i | ||||
\(178\) | −4.52187 | − | 10.1563i | −0.338929 | − | 0.761246i | ||||
\(179\) | −2.20466 | − | 20.9760i | −0.164784 | − | 1.56782i | −0.694406 | − | 0.719583i | \(-0.744333\pi\) |
0.529622 | − | 0.848234i | \(-0.322334\pi\) | |||||||
\(180\) | −4.71845 | − | 17.6095i | −0.351692 | − | 1.31253i | ||||
\(181\) | −0.467612 | + | 0.809928i | −0.0347573 | + | 0.0602015i | −0.882881 | − | 0.469597i | \(-0.844399\pi\) |
0.848123 | + | 0.529799i | \(0.177732\pi\) | |||||||
\(182\) | 1.54395 | − | 3.03900i | 0.114445 | − | 0.225266i | ||||
\(183\) | −0.754566 | + | 0.160388i | −0.0557791 | + | 0.0118562i | ||||
\(184\) | 0.309452 | + | 5.90470i | 0.0228131 | + | 0.435300i | ||||
\(185\) | −5.69068 | + | 3.28551i | −0.418387 | + | 0.241556i | ||||
\(186\) | −0.510018 | − | 0.0316104i | −0.0373963 | − | 0.00231779i | ||||
\(187\) | 1.20211 | + | 1.20211i | 0.0879073 | + | 0.0879073i | ||||
\(188\) | 1.75445 | + | 2.70161i | 0.127956 | + | 0.197035i | ||||
\(189\) | −0.966621 | + | 0.492518i | −0.0703113 | + | 0.0358254i | ||||
\(190\) | −2.16685 | + | 13.6810i | −0.157200 | + | 0.992522i | ||||
\(191\) | 4.23132 | + | 7.32887i | 0.306168 | + | 0.530298i | 0.977521 | − | 0.210840i | \(-0.0676198\pi\) |
−0.671353 | + | 0.741138i | \(0.734286\pi\) | |||||||
\(192\) | 0.0864747 | − | 0.149779i | 0.00624078 | − | 0.0108093i | ||||
\(193\) | 0.926422 | + | 0.750202i | 0.0666853 | + | 0.0540007i | 0.662084 | − | 0.749430i | \(-0.269672\pi\) |
−0.595398 | + | 0.803431i | \(0.703006\pi\) | |||||||
\(194\) | −1.79465 | + | 2.47012i | −0.128848 | + | 0.177345i | ||||
\(195\) | 1.55355 | − | 1.13151i | 0.111252 | − | 0.0810294i | ||||
\(196\) | −7.63782 | − | 1.62347i | −0.545559 | − | 0.115962i | ||||
\(197\) | 4.12662 | − | 26.0544i | 0.294009 | − | 1.85630i | −0.190729 | − | 0.981643i | \(-0.561085\pi\) |
0.484738 | − | 0.874659i | \(-0.338915\pi\) | |||||||
\(198\) | −1.34707 | + | 6.33746i | −0.0957320 | + | 0.450384i | ||||
\(199\) | 10.2358 | − | 2.17569i | 0.725599 | − | 0.154231i | 0.169718 | − | 0.985493i | \(-0.445714\pi\) |
0.555881 | + | 0.831262i | \(0.312381\pi\) | |||||||
\(200\) | 21.0894 | − | 17.0778i | 1.49124 | − | 1.20759i | ||||
\(201\) | −1.71446 | − | 0.0898508i | −0.120928 | − | 0.00633759i | ||||
\(202\) | 8.84634 | + | 0.463617i | 0.622426 | + | 0.0326200i | ||||
\(203\) | −9.58824 | + | 7.76440i | −0.672962 | + | 0.544954i | ||||
\(204\) | 0.106890 | − | 0.0227201i | 0.00748379 | − | 0.00159073i | ||||
\(205\) | 5.01431 | − | 23.5905i | 0.350215 | − | 1.64763i | ||||
\(206\) | 1.13468 | − | 7.16407i | 0.0790567 | − | 0.499145i | ||||
\(207\) | −7.08115 | − | 1.50514i | −0.492174 | − | 0.104615i | ||||
\(208\) | 4.83734 | + | 0.760324i | 0.335409 | + | 0.0527190i | ||||
\(209\) | −9.20128 | + | 12.6645i | −0.636466 | + | 0.876020i | ||||
\(210\) | −0.391641 | − | 0.317144i | −0.0270258 | − | 0.0218850i | ||||
\(211\) | −8.72505 | + | 15.1122i | −0.600657 | + | 1.04037i | 0.392064 | + | 0.919938i | \(0.371761\pi\) |
−0.992722 | + | 0.120431i | \(0.961572\pi\) | |||||||
\(212\) | 7.24980 | + | 12.5570i | 0.497918 | + | 0.862420i | ||||
\(213\) | −0.103546 | + | 0.653766i | −0.00709488 | + | 0.0447953i | ||||
\(214\) | 2.57255 | − | 1.31078i | 0.175856 | − | 0.0896030i | ||||
\(215\) | 16.1680 | + | 24.8965i | 1.10265 | + | 1.69792i | ||||
\(216\) | 1.36719 | + | 1.36719i | 0.0930254 | + | 0.0930254i | ||||
\(217\) | −6.42134 | + | 4.08351i | −0.435909 | + | 0.277206i | ||||
\(218\) | 6.12796 | − | 3.53798i | 0.415038 | − | 0.239622i | ||||
\(219\) | 0.0365346 | + | 0.697121i | 0.00246878 | + | 0.0471071i | ||||
\(220\) | 18.7785 | − | 3.99149i | 1.26604 | − | 0.269106i | ||||
\(221\) | −1.06490 | − | 1.63559i | −0.0716330 | − | 0.110021i | ||||
\(222\) | 0.0750555 | − | 0.130000i | 0.00503740 | − | 0.00872503i | ||||
\(223\) | 6.61045 | + | 24.6705i | 0.442669 | + | 1.65206i | 0.722020 | + | 0.691872i | \(0.243214\pi\) |
−0.279351 | + | 0.960189i | \(0.590119\pi\) | |||||||
\(224\) | −0.830219 | − | 7.89901i | −0.0554714 | − | 0.527775i | ||||
\(225\) | 13.5139 | + | 30.3527i | 0.900926 | + | 2.02351i | ||||
\(226\) | 6.84484 | + | 2.62749i | 0.455312 | + | 0.174778i | ||||
\(227\) | 12.8045 | − | 0.671054i | 0.849863 | − | 0.0445394i | 0.377570 | − | 0.925981i | \(-0.376760\pi\) |
0.472293 | + | 0.881442i | \(0.343426\pi\) | |||||||
\(228\) | 0.360604 | + | 0.939405i | 0.0238816 | + | 0.0622136i | ||||
\(229\) | 3.65614 | − | 0.191610i | 0.241605 | − | 0.0126620i | 0.0688507 | − | 0.997627i | \(-0.478067\pi\) |
0.172754 | + | 0.984965i | \(0.444733\pi\) | |||||||
\(230\) | −1.40249 | − | 6.59817i | −0.0924771 | − | 0.435071i | ||||
\(231\) | −0.231649 | − | 0.520293i | −0.0152414 | − | 0.0342328i | ||||
\(232\) | 18.4415 | + | 11.9760i | 1.21074 | + | 0.786265i | ||||
\(233\) | 3.97292 | + | 1.29088i | 0.260275 | + | 0.0845684i | 0.436248 | − | 0.899827i | \(-0.356307\pi\) |
−0.175973 | + | 0.984395i | \(0.556307\pi\) | |||||||
\(234\) | 3.01737 | − | 6.79864i | 0.197251 | − | 0.444441i | ||||
\(235\) | −5.69141 | − | 6.32095i | −0.371267 | − | 0.412333i | ||||
\(236\) | 10.1003 | + | 15.5531i | 0.657474 | + | 1.01242i | ||||
\(237\) | −0.105145 | + | 0.0763924i | −0.00682991 | + | 0.00496222i | ||||
\(238\) | −0.342430 | + | 0.380307i | −0.0221965 | + | 0.0246517i | ||||
\(239\) | 8.67484 | − | 22.5987i | 0.561129 | − | 1.46179i | −0.300266 | − | 0.953855i | \(-0.597076\pi\) |
0.861395 | − | 0.507935i | \(-0.169591\pi\) | |||||||
\(240\) | 0.259436 | − | 0.675854i | 0.0167465 | − | 0.0436262i | ||||
\(241\) | 2.30481 | + | 0.365046i | 0.148466 | + | 0.0235147i | 0.230225 | − | 0.973137i | \(-0.426054\pi\) |
−0.0817591 | + | 0.996652i | \(0.526054\pi\) | |||||||
\(242\) | 0.759274 | + | 0.203447i | 0.0488080 | + | 0.0130781i | ||||
\(243\) | −3.07820 | + | 1.77720i | −0.197467 | + | 0.114008i | ||||
\(244\) | 8.08154 | + | 3.59813i | 0.517367 | + | 0.230347i | ||||
\(245\) | 20.5895 | + | 1.07905i | 1.31542 | + | 0.0689381i | ||||
\(246\) | 0.170253 | + | 0.523984i | 0.0108549 | + | 0.0334080i | ||||
\(247\) | 13.3412 | − | 12.0410i | 0.848882 | − | 0.766148i | ||||
\(248\) | 10.4581 | + | 8.63532i | 0.664093 | + | 0.548344i | ||||
\(249\) | 0.405820 | − | 1.51454i | 0.0257178 | − | 0.0959801i | ||||
\(250\) | −11.4181 | + | 12.6811i | −0.722146 | + | 0.802024i | ||||
\(251\) | −1.16509 | + | 3.58576i | −0.0735395 | + | 0.226331i | −0.981070 | − | 0.193656i | \(-0.937965\pi\) |
0.907530 | + | 0.419987i | \(0.137965\pi\) | |||||||
\(252\) | 6.12571 | + | 0.970217i | 0.385883 | + | 0.0611179i | ||||
\(253\) | 1.97310 | − | 7.36370i | 0.124047 | − | 0.462952i | ||||
\(254\) | −0.285761 | − | 0.285761i | −0.0179302 | − | 0.0179302i | ||||
\(255\) | −0.269377 | + | 0.103404i | −0.0168691 | + | 0.00647543i | ||||
\(256\) | −9.15623 | + | 4.07661i | −0.572264 | + | 0.254788i | ||||
\(257\) | 9.10163 | − | 12.5273i | 0.567744 | − | 0.781432i | −0.424541 | − | 0.905409i | \(-0.639565\pi\) |
0.992285 | + | 0.123976i | \(0.0395647\pi\) | |||||||
\(258\) | −0.604236 | − | 0.307874i | −0.0376181 | − | 0.0191674i | ||||
\(259\) | −0.233669 | − | 2.22321i | −0.0145195 | − | 0.138144i | ||||
\(260\) | −22.0399 | + | 0.0259447i | −1.36686 | + | 0.00160902i | ||||
\(261\) | −20.0071 | + | 18.0145i | −1.23841 | + | 1.11507i | ||||
\(262\) | 11.8740 | + | 4.55802i | 0.733581 | + | 0.281595i | ||||
\(263\) | −1.55123 | − | 7.29797i | −0.0956530 | − | 0.450012i | −0.999743 | − | 0.0226700i | \(-0.992783\pi\) |
0.904090 | − | 0.427342i | \(-0.140550\pi\) | |||||||
\(264\) | −0.754327 | + | 0.679199i | −0.0464256 | + | 0.0418018i | ||||
\(265\) | −24.0938 | − | 29.7534i | −1.48007 | − | 1.82773i | ||||
\(266\) | −3.95204 | − | 2.56649i | −0.242315 | − | 0.157361i | ||||
\(267\) | 1.90006 | + | 0.968129i | 0.116282 | + | 0.0592485i | ||||
\(268\) | 15.3001 | + | 12.3898i | 0.934605 | + | 0.756828i | ||||
\(269\) | 5.84142 | + | 5.25964i | 0.356158 | + | 0.320686i | 0.827714 | − | 0.561150i | \(-0.189641\pi\) |
−0.471556 | + | 0.881836i | \(0.656308\pi\) | |||||||
\(270\) | −1.78454 | − | 1.29655i | −0.108604 | − | 0.0789053i | ||||
\(271\) | 0.739829 | − | 0.599102i | 0.0449414 | − | 0.0363928i | −0.606587 | − | 0.795017i | \(-0.707462\pi\) |
0.651528 | + | 0.758625i | \(0.274128\pi\) | |||||||
\(272\) | −0.671595 | − | 0.299013i | −0.0407214 | − | 0.0181303i | ||||
\(273\) | 0.136694 | + | 0.639392i | 0.00827309 | + | 0.0386978i | ||||
\(274\) | −10.1251 | − | 5.84570i | −0.611677 | − | 0.353152i | ||||
\(275\) | −32.6642 | + | 12.5386i | −1.96972 | + | 0.756106i | ||||
\(276\) | −0.327895 | − | 0.364164i | −0.0197369 | − | 0.0219201i | ||||
\(277\) | −18.7678 | − | 3.98922i | −1.12765 | − | 0.239689i | −0.393929 | − | 0.919141i | \(-0.628884\pi\) |
−0.733720 | + | 0.679452i | \(0.762218\pi\) | |||||||
\(278\) | 0.379467 | − | 0.379467i | 0.0227589 | − | 0.0227589i | ||||
\(279\) | −13.5265 | + | 9.63173i | −0.809807 | + | 0.576637i | ||||
\(280\) | 3.46181 | + | 12.9197i | 0.206883 | + | 0.772098i | ||||
\(281\) | −2.90466 | − | 1.48000i | −0.173277 | − | 0.0882893i | 0.365200 | − | 0.930929i | \(-0.381000\pi\) |
−0.538478 | + | 0.842640i | \(0.681000\pi\) | |||||||
\(282\) | 0.184797 | + | 0.0600441i | 0.0110045 | + | 0.00357558i | ||||
\(283\) | −2.08114 | + | 4.67432i | −0.123711 | + | 0.277859i | −0.964775 | − | 0.263076i | \(-0.915263\pi\) |
0.841064 | + | 0.540935i | \(0.181930\pi\) | |||||||
\(284\) | 5.36733 | − | 5.36733i | 0.318493 | − | 0.318493i | ||||
\(285\) | −1.32846 | − | 2.30096i | −0.0786911 | − | 0.136297i | ||||
\(286\) | 6.98326 | + | 3.54780i | 0.412929 | + | 0.209786i | ||||
\(287\) | 6.63779 | + | 4.82264i | 0.391816 | + | 0.284671i | ||||
\(288\) | −2.71122 | − | 17.1180i | −0.159760 | − | 1.00869i | ||||
\(289\) | −5.16274 | − | 15.8893i | −0.303691 | − | 0.934664i | ||||
\(290\) | −22.9172 | − | 10.2034i | −1.34574 | − | 0.599163i | ||||
\(291\) | −0.0306509 | − | 0.584853i | −0.00179679 | − | 0.0342847i | ||||
\(292\) | 4.35997 | − | 6.71377i | 0.255148 | − | 0.392894i | ||||
\(293\) | −8.25531 | + | 1.30751i | −0.482280 | + | 0.0763857i | −0.392841 | − | 0.919607i | \(-0.628508\pi\) |
−0.0894396 | + | 0.995992i | \(0.528508\pi\) | |||||||
\(294\) | −0.419665 | + | 0.213830i | −0.0244754 | + | 0.0124708i | ||||
\(295\) | −32.7653 | − | 36.3895i | −1.90767 | − | 2.11868i | ||||
\(296\) | −3.63970 | + | 1.62050i | −0.211553 | + | 0.0941895i | ||||
\(297\) | −1.13175 | − | 2.22118i | −0.0656706 | − | 0.128886i | ||||
\(298\) | 8.12261 | + | 7.31363i | 0.470530 | + | 0.423667i | ||||
\(299\) | −3.96413 | + | 7.80273i | −0.229251 | + | 0.451244i | ||||
\(300\) | −0.467595 | + | 2.19986i | −0.0269966 | + | 0.127009i | ||||
\(301\) | −9.97469 | + | 1.57984i | −0.574932 | + | 0.0910602i | ||||
\(302\) | 14.5006 | + | 1.52407i | 0.834415 | + | 0.0877006i | ||||
\(303\) | −1.37467 | + | 0.998756i | −0.0789727 | + | 0.0573770i | ||||
\(304\) | 1.75203 | − | 6.53868i | 0.100486 | − | 0.375019i | ||||
\(305\) | −22.5624 | − | 6.04557i | −1.29192 | − | 0.346168i | ||||
\(306\) | −0.702761 | + | 0.867838i | −0.0401742 | + | 0.0496110i | ||||
\(307\) | 6.36968 | − | 9.80845i | 0.363537 | − | 0.559798i | −0.608817 | − | 0.793311i | \(-0.708355\pi\) |
0.972354 | + | 0.233513i | \(0.0750222\pi\) | |||||||
\(308\) | −1.35790 | + | 6.38842i | −0.0773736 | + | 0.364014i | ||||
\(309\) | 0.695651 | + | 1.20490i | 0.0395742 | + | 0.0685445i | ||||
\(310\) | −13.3253 | − | 7.86383i | −0.756828 | − | 0.446636i | ||||
\(311\) | − | 5.06099i | − | 0.286982i | −0.989652 | − | 0.143491i | \(-0.954167\pi\) | ||
0.989652 | − | 0.143491i | \(-0.0458329\pi\) | |||||||
\(312\) | 1.00850 | − | 0.583840i | 0.0570949 | − | 0.0330535i | ||||
\(313\) | −1.81608 | − | 8.54400i | −0.102651 | − | 0.482935i | −0.999200 | − | 0.0399906i | \(-0.987267\pi\) |
0.896549 | − | 0.442945i | \(-0.146066\pi\) | |||||||
\(314\) | 0.622356 | + | 1.62129i | 0.0351216 | + | 0.0914949i | ||||
\(315\) | −16.3762 | −0.922695 | ||||||||
\(316\) | 1.49040 | 0.0838415 | ||||||||
\(317\) | 3.60000 | + | 9.37832i | 0.202196 | + | 0.526739i | 0.996759 | − | 0.0804425i | \(-0.0256334\pi\) |
−0.794563 | + | 0.607182i | \(0.792300\pi\) | |||||||
\(318\) | 0.816516 | + | 0.313431i | 0.0457879 | + | 0.0175763i | ||||
\(319\) | −17.8417 | − | 22.0326i | −0.998941 | − | 1.23359i | ||||
\(320\) | 4.39197 | − | 2.85218i | 0.245518 | − | 0.159442i | ||||
\(321\) | −0.225257 | + | 0.505935i | −0.0125726 | + | 0.0282385i | ||||
\(322\) | 2.24469 | + | 0.477124i | 0.125092 | + | 0.0265891i | ||||
\(323\) | −2.40400 | + | 1.22490i | −0.133762 | + | 0.0681553i | ||||
\(324\) | 13.3795 | + | 1.40624i | 0.743304 | + | 0.0781244i | ||||
\(325\) | 39.6654 | − | 6.33026i | 2.20024 | − | 0.351140i | ||||
\(326\) | −3.36286 | + | 10.3498i | −0.186251 | + | 0.573223i | ||||
\(327\) | −0.486402 | + | 1.26712i | −0.0268981 | + | 0.0700720i | ||||
\(328\) | 4.51873 | − | 13.9072i | 0.249505 | − | 0.767898i | ||||
\(329\) | 2.75200 | − | 0.894179i | 0.151723 | − | 0.0492977i | ||||
\(330\) | 0.728760 | − | 0.899943i | 0.0401169 | − | 0.0495402i | ||||
\(331\) | 0.265609 | + | 5.06812i | 0.0145992 | + | 0.278569i | 0.996168 | + | 0.0874602i | \(0.0278751\pi\) |
−0.981569 | + | 0.191109i | \(0.938792\pi\) | |||||||
\(332\) | −13.9737 | + | 11.3157i | −0.766905 | + | 0.621028i | ||||
\(333\) | −0.763086 | − | 4.81794i | −0.0418169 | − | 0.264021i | ||||
\(334\) | −4.07456 | − | 5.60815i | −0.222950 | − | 0.306864i | ||||
\(335\) | −45.0195 | − | 25.9920i | −2.45968 | − | 1.42010i | ||||
\(336\) | 0.174148 | + | 0.174148i | 0.00950058 | + | 0.00950058i | ||||
\(337\) | −2.61018 | + | 1.89641i | −0.142185 | + | 0.103304i | −0.656604 | − | 0.754235i | \(-0.728008\pi\) |
0.514419 | + | 0.857539i | \(0.328008\pi\) | |||||||
\(338\) | −7.00164 | − | 5.64257i | −0.380839 | − | 0.306916i | ||||
\(339\) | −1.33752 | + | 0.434586i | −0.0726440 | + | 0.0236035i | ||||
\(340\) | 3.19613 | + | 0.856400i | 0.173334 | + | 0.0464448i | ||||
\(341\) | −9.38340 | − | 14.7555i | −0.508140 | − | 0.799053i | ||||
\(342\) | −8.90503 | − | 5.14132i | −0.481529 | − | 0.278011i | ||||
\(343\) | −7.52782 | + | 14.7742i | −0.406464 | + | 0.797731i | ||||
\(344\) | 8.17136 | + | 16.0372i | 0.440570 | + | 0.864668i | ||||
\(345\) | 1.00555 | + | 0.814278i | 0.0541370 | + | 0.0438392i | ||||
\(346\) | −0.00303087 | − | 0.0113114i | −0.000162941 | − | 0.000608102i | ||||
\(347\) | − | 2.33109i | − | 0.125139i | −0.998041 | − | 0.0625697i | \(-0.980070\pi\) | ||
0.998041 | − | 0.0625697i | \(-0.0199296\pi\) | |||||||
\(348\) | −1.81238 | + | 0.190489i | −0.0971537 | + | 0.0102113i | ||||
\(349\) | −3.51666 | − | 4.34271i | −0.188242 | − | 0.232460i | 0.674284 | − | 0.738472i | \(-0.264452\pi\) |
−0.862526 | + | 0.506012i | \(0.831119\pi\) | |||||||
\(350\) | −4.28385 | − | 9.62167i | −0.228981 | − | 0.514300i | ||||
\(351\) | 0.743970 | + | 2.76352i | 0.0397102 | + | 0.147506i | ||||
\(352\) | 18.1510 | − | 1.90774i | 0.967450 | − | 0.101683i | ||||
\(353\) | 14.7574 | − | 9.58359i | 0.785459 | − | 0.510083i | −0.0885041 | − | 0.996076i | \(-0.528209\pi\) |
0.873963 | + | 0.485993i | \(0.161542\pi\) | |||||||
\(354\) | 1.06387 | + | 0.345673i | 0.0565441 | + | 0.0183723i | ||||
\(355\) | −11.7807 | + | 16.2147i | −0.625252 | + | 0.860586i | ||||
\(356\) | −11.1021 | − | 21.7890i | −0.588409 | − | 1.15482i | ||||
\(357\) | 0.00513739 | − | 0.0980273i | 0.000271900 | − | 0.00518816i | ||||
\(358\) | 2.28227 | + | 14.4097i | 0.120622 | + | 0.761577i | ||||
\(359\) | −3.42020 | − | 0.179245i | −0.180511 | − | 0.00946019i | −0.0381338 | − | 0.999273i | \(-0.512141\pi\) |
−0.142377 | + | 0.989812i | \(0.545475\pi\) | |||||||
\(360\) | 9.01912 | + | 27.7580i | 0.475349 | + | 1.46298i | ||||
\(361\) | −3.43507 | − | 4.72797i | −0.180793 | − | 0.248840i | ||||
\(362\) | 0.293691 | − | 0.576400i | 0.0154360 | − | 0.0302949i | ||||
\(363\) | −0.137742 | + | 0.0613267i | −0.00722958 | + | 0.00321882i | ||||
\(364\) | 3.04163 | − | 6.85331i | 0.159425 | − | 0.359211i | ||||
\(365\) | −8.59737 | + | 19.3100i | −0.450007 | + | 1.01073i | ||||
\(366\) | 0.515424 | − | 0.138107i | 0.0269416 | − | 0.00721899i | ||||
\(367\) | 27.3302i | 1.42663i | 0.700845 | + | 0.713314i | \(0.252807\pi\) | ||||
−0.700845 | + | 0.713314i | \(0.747193\pi\) | |||||||
\(368\) | 0.344590 | + | 3.27856i | 0.0179630 | + | 0.170907i | ||||
\(369\) | 15.0152 | + | 9.75100i | 0.781661 | + | 0.507617i | ||||
\(370\) | 3.81200 | − | 2.47554i | 0.198176 | − | 0.128697i | ||||
\(371\) | 12.5809 | − | 3.37103i | 0.653166 | − | 0.175015i | ||||
\(372\) | −1.12396 | − | 0.0107229i | −0.0582746 | − | 0.000555957i | ||||
\(373\) | 16.5891 | − | 28.7331i | 0.858950 | − | 1.48775i | −0.0139806 | − | 0.999902i | \(-0.504450\pi\) |
0.872931 | − | 0.487844i | \(-0.162216\pi\) | |||||||
\(374\) | −0.873900 | − | 0.786864i | −0.0451883 | − | 0.0406877i | ||||
\(375\) | 0.171303 | − | 3.26866i | 0.00884606 | − | 0.168793i | ||||
\(376\) | −3.03130 | − | 4.17223i | −0.156327 | − | 0.215166i | ||||
\(377\) | 14.8104 | + | 28.9826i | 0.762773 | + | 1.49268i | ||||
\(378\) | 0.649881 | − | 0.375209i | 0.0334263 | − | 0.0192987i | ||||
\(379\) | 4.48450 | − | 5.53790i | 0.230353 | − | 0.284463i | −0.648843 | − | 0.760922i | \(-0.724747\pi\) |
0.879196 | + | 0.476460i | \(0.158080\pi\) | |||||||
\(380\) | −3.18481 | + | 30.3015i | −0.163377 | + | 1.55443i | ||||
\(381\) | 0.0770928 | + | 0.00810278i | 0.00394958 | + | 0.000415118i | ||||
\(382\) | −3.18818 | − | 4.90937i | −0.163122 | − | 0.251185i | ||||
\(383\) | 9.83734 | − | 3.77620i | 0.502664 | − | 0.192955i | −0.0938050 | − | 0.995591i | \(-0.529903\pi\) |
0.596469 | + | 0.802636i | \(0.296570\pi\) | |||||||
\(384\) | 0.645777 | − | 1.26741i | 0.0329547 | − | 0.0646772i | ||||
\(385\) | 0.902540 | − | 17.2215i | 0.0459977 | − | 0.877688i | ||||
\(386\) | −0.667101 | − | 0.484677i | −0.0339546 | − | 0.0246694i | ||||
\(387\) | −21.5555 | + | 4.58177i | −1.09573 | + | 0.232904i | ||||
\(388\) | −3.65782 | + | 5.63255i | −0.185698 | + | 0.285949i | ||||
\(389\) | −1.27172 | + | 12.0996i | −0.0644790 | + | 0.613476i | 0.913797 | + | 0.406171i | \(0.133136\pi\) |
−0.978276 | + | 0.207306i | \(0.933531\pi\) | |||||||
\(390\) | −1.03218 | + | 0.837854i | −0.0522663 | + | 0.0424264i | ||||
\(391\) | 0.879200 | − | 0.976451i | 0.0444631 | − | 0.0493812i | ||||
\(392\) | 12.3471 | + | 1.95558i | 0.623621 | + | 0.0987719i | ||||
\(393\) | −2.32025 | + | 0.753894i | −0.117041 | + | 0.0380289i | ||||
\(394\) | −1.90732 | + | 18.1470i | −0.0960895 | + | 0.914231i | ||||
\(395\) | −3.88687 | + | 0.615619i | −0.195569 | + | 0.0309752i | ||||
\(396\) | −2.22944 | + | 14.0761i | −0.112034 | + | 0.707352i | ||||
\(397\) | −19.2662 | + | 19.2662i | −0.966943 | + | 0.966943i | −0.999471 | − | 0.0325281i | \(-0.989644\pi\) |
0.0325281 | + | 0.999471i | \(0.489644\pi\) | |||||||
\(398\) | −6.99183 | + | 1.87345i | −0.350469 | + | 0.0939078i | ||||
\(399\) | 0.898930 | − | 0.0944814i | 0.0450028 | − | 0.00472998i | ||||
\(400\) | 11.2437 | − | 10.1239i | 0.562186 | − | 0.506194i | ||||
\(401\) | −14.3366 | + | 0.751350i | −0.715936 | + | 0.0375206i | −0.406826 | − | 0.913506i | \(-0.633365\pi\) |
−0.309110 | + | 0.951026i | \(0.600031\pi\) | |||||||
\(402\) | 1.18754 | 0.0592293 | ||||||||
\(403\) | 7.03720 | + | 18.8010i | 0.350548 | + | 0.936545i | ||||
\(404\) | 19.4855 | 0.969440 | ||||||||
\(405\) | −35.4737 | + | 1.85910i | −1.76270 | + | 0.0923792i | ||||
\(406\) | 6.34216 | − | 5.71051i | 0.314756 | − | 0.283408i | ||||
\(407\) | 5.10867 | − | 0.536943i | 0.253228 | − | 0.0266153i | ||||
\(408\) | −0.168988 | + | 0.0452801i | −0.00836613 | + | 0.00224170i | ||||
\(409\) | 14.0470 | − | 14.0470i | 0.694580 | − | 0.694580i | −0.268656 | − | 0.963236i | \(-0.586579\pi\) |
0.963236 | + | 0.268656i | \(0.0865794\pi\) | |||||||
\(410\) | −2.60971 | + | 16.4771i | −0.128885 | + | 0.813745i | ||||
\(411\) | 2.21497 | − | 0.350817i | 0.109256 | − | 0.0173045i | ||||
\(412\) | 1.66774 | − | 15.8674i | 0.0821634 | − | 0.781733i | ||||
\(413\) | 15.8432 | − | 5.14777i | 0.779593 | − | 0.253305i | ||||
\(414\) | 4.94592 | + | 0.783357i | 0.243079 | + | 0.0384999i | ||||
\(415\) | 31.7685 | − | 35.2825i | 1.55945 | − | 1.73195i | ||||
\(416\) | −20.8404 | − | 2.16562i | −1.02179 | − | 0.106178i | ||||
\(417\) | −0.0107598 | + | 0.102373i | −0.000526911 | + | 0.00501322i | ||||
\(418\) | 5.89747 | − | 9.08131i | 0.288455 | − | 0.444182i | ||||
\(419\) | −13.2841 | + | 2.82361i | −0.648969 | + | 0.137943i | −0.520623 | − | 0.853787i | \(-0.674300\pi\) |
−0.128346 | + | 0.991729i | \(0.540967\pi\) | |||||||
\(420\) | −0.896800 | − | 0.651563i | −0.0437593 | − | 0.0317930i | ||||
\(421\) | −1.58958 | + | 30.3310i | −0.0774714 | + | 1.47824i | 0.632800 | + | 0.774315i | \(0.281905\pi\) |
−0.710272 | + | 0.703927i | \(0.751428\pi\) | |||||||
\(422\) | 5.47990 | − | 10.7549i | 0.266757 | − | 0.523541i | ||||
\(423\) | 5.89479 | − | 2.26280i | 0.286615 | − | 0.110021i | ||||
\(424\) | −12.6428 | − | 19.4682i | −0.613989 | − | 0.945460i | ||||
\(425\) | −5.99734 | − | 0.630346i | −0.290914 | − | 0.0305763i | ||||
\(426\) | 0.0478591 | − | 0.455349i | 0.00231878 | − | 0.0220617i | ||||
\(427\) | 5.00088 | − | 6.17557i | 0.242009 | − | 0.298857i | ||||
\(428\) | 5.50004 | − | 3.17545i | 0.265855 | − | 0.153491i | ||||
\(429\) | −1.46925 | + | 0.314106i | −0.0709358 | + | 0.0151652i | ||||
\(430\) | −12.0696 | − | 16.6124i | −0.582048 | − | 0.801120i | ||||
\(431\) | 0.672005 | − | 12.8226i | 0.0323694 | − | 0.617644i | −0.933494 | − | 0.358593i | \(-0.883257\pi\) |
0.965863 | − | 0.259052i | \(-0.0834100\pi\) | |||||||
\(432\) | 0.801110 | + | 0.721323i | 0.0385434 | + | 0.0347047i | ||||
\(433\) | −3.30994 | + | 5.73299i | −0.159066 | + | 0.275510i | −0.934532 | − | 0.355879i | \(-0.884182\pi\) |
0.775466 | + | 0.631389i | \(0.217515\pi\) | |||||||
\(434\) | 4.28783 | − | 3.05322i | 0.205822 | − | 0.146559i | ||||
\(435\) | 4.64789 | − | 1.24540i | 0.222849 | − | 0.0597123i | ||||
\(436\) | 13.0536 | − | 8.47708i | 0.625152 | − | 0.405978i | ||||
\(437\) | 10.1470 | + | 6.58953i | 0.485396 | + | 0.315220i | ||||
\(438\) | −0.0504738 | − | 0.480227i | −0.00241173 | − | 0.0229461i | ||||
\(439\) | 7.91009i | 0.377528i | 0.982022 | + | 0.188764i | \(0.0604481\pi\) | ||||
−0.982022 | + | 0.188764i | \(0.939552\pi\) | |||||||
\(440\) | −29.6878 | + | 7.95483i | −1.41531 | + | 0.379232i | ||||
\(441\) | −6.22535 | + | 13.9824i | −0.296445 | + | 0.665826i | ||||
\(442\) | 0.794811 | + | 1.09126i | 0.0378053 | + | 0.0519059i | ||||
\(443\) | 29.4109 | − | 13.0946i | 1.39735 | − | 0.622143i | 0.436629 | − | 0.899642i | \(-0.356172\pi\) |
0.960726 | + | 0.277499i | \(0.0895056\pi\) | |||||||
\(444\) | 0.149904 | − | 0.294202i | 0.00711411 | − | 0.0139622i | ||||
\(445\) | 37.9536 | + | 52.2387i | 1.79917 | + | 2.47635i | ||||
\(446\) | −5.45940 | − | 16.8023i | −0.258510 | − | 0.795612i | ||||
\(447\) | −2.09367 | − | 0.109724i | −0.0990271 | − | 0.00518979i | ||||
\(448\) | 0.278698 | + | 1.75963i | 0.0131672 | + | 0.0831346i | ||||
\(449\) | 0.858469 | − | 16.3806i | 0.0405137 | − | 0.773047i | −0.900537 | − | 0.434780i | \(-0.856826\pi\) |
0.941050 | − | 0.338267i | \(-0.109841\pi\) | |||||||
\(450\) | −10.4338 | − | 20.4774i | −0.491853 | − | 0.965316i | ||||
\(451\) | −11.0818 | + | 15.2528i | −0.521823 | + | 0.718228i | ||||
\(452\) | 15.3381 | + | 4.98364i | 0.721442 | + | 0.234411i | ||||
\(453\) | −2.34555 | + | 1.52322i | −0.110203 | + | 0.0715670i | ||||
\(454\) | −8.82063 | + | 0.927086i | −0.413973 | + | 0.0435103i | ||||
\(455\) | −5.10157 | + | 19.1294i | −0.239165 | + | 0.896798i | ||||
\(456\) | −0.655229 | − | 1.47167i | −0.0306839 | − | 0.0689172i | ||||
\(457\) | −12.5599 | − | 15.5102i | −0.587529 | − | 0.725538i | 0.393516 | − | 0.919318i | \(-0.371259\pi\) |
−0.981045 | + | 0.193780i | \(0.937925\pi\) | |||||||
\(458\) | −2.51861 | + | 0.264717i | −0.117687 | + | 0.0123694i | ||||
\(459\) | − | 0.429662i | − | 0.0200549i | ||||||
\(460\) | −3.84033 | − | 14.3323i | −0.179056 | − | 0.668246i | ||||
\(461\) | −10.1915 | − | 8.25295i | −0.474668 | − | 0.384378i | 0.361922 | − | 0.932208i | \(-0.382121\pi\) |
−0.836590 | + | 0.547830i | \(0.815454\pi\) | |||||||
\(462\) | 0.178851 | + | 0.351016i | 0.00832092 | + | 0.0163307i | ||||
\(463\) | −10.8647 | + | 21.3232i | −0.504927 | + | 0.990975i | 0.488066 | + | 0.872806i | \(0.337702\pi\) |
−0.992994 | + | 0.118169i | \(0.962298\pi\) | |||||||
\(464\) | 10.6172 | + | 6.12985i | 0.492892 | + | 0.284571i | ||||
\(465\) | 2.93564 | − | 0.436294i | 0.136137 | − | 0.0202327i | ||||
\(466\) | −2.79110 | − | 0.747873i | −0.129295 | − | 0.0346445i | ||||
\(467\) | −21.0551 | + | 6.84122i | −0.974314 | + | 0.316574i | −0.752556 | − | 0.658528i | \(-0.771179\pi\) |
−0.221758 | + | 0.975102i | \(0.571179\pi\) | |||||||
\(468\) | 5.84537 | − | 15.2815i | 0.270202 | − | 0.706386i | ||||
\(469\) | 14.3074 | − | 10.3949i | 0.660655 | − | 0.479994i | ||||
\(470\) | 4.16027 | + | 4.16027i | 0.191899 | + | 0.191899i | ||||
\(471\) | −0.288484 | − | 0.166556i | −0.0132926 | − | 0.00767451i | ||||
\(472\) | −17.4511 | − | 24.0194i | −0.803253 | − | 1.10558i | ||||
\(473\) | −3.63027 | − | 22.9206i | −0.166920 | − | 1.05389i | ||||
\(474\) | 0.0698653 | − | 0.0565758i | 0.00320902 | − | 0.00259861i | ||||
\(475\) | −2.90612 | − | 55.4521i | −0.133342 | − | 2.54432i | ||||
\(476\) | −0.708412 | + | 0.874815i | −0.0324700 | + | 0.0400971i | ||||
\(477\) | 27.0301 | − | 8.78261i | 1.23762 | − | 0.402128i | ||||
\(478\) | −5.17419 | + | 15.9245i | −0.236662 | + | 0.728371i | ||||
\(479\) | −10.2922 | + | 26.8121i | −0.470263 | + | 1.22508i | 0.469403 | + | 0.882984i | \(0.344469\pi\) |
−0.939666 | + | 0.342093i | \(0.888864\pi\) | |||||||
\(480\) | −0.957230 | + | 2.94605i | −0.0436914 | + | 0.134468i | ||||
\(481\) | −5.86564 | − | 0.609523i | −0.267450 | − | 0.0277919i | ||||
\(482\) | −1.60530 | − | 0.168724i | −0.0731196 | − | 0.00768518i | ||||
\(483\) | −0.392207 | + | 0.199839i | −0.0178460 | + | 0.00909300i | ||||
\(484\) | 1.69127 | + | 0.359490i | 0.0768757 | + | 0.0163404i | ||||
\(485\) | 7.21280 | − | 16.2002i | 0.327517 | − | 0.735614i | ||||
\(486\) | 2.06199 | − | 1.33907i | 0.0935336 | − | 0.0607414i | ||||
\(487\) | 15.9886 | + | 19.7443i | 0.724513 | + | 0.894699i | 0.997736 | − | 0.0672520i | \(-0.0214231\pi\) |
−0.273223 | + | 0.961951i | \(0.588090\pi\) | |||||||
\(488\) | −13.2219 | − | 5.07542i | −0.598528 | − | 0.229753i | ||||
\(489\) | −0.748060 | − | 1.94876i | −0.0338284 | − | 0.0881261i | ||||
\(490\) | −14.2617 | −0.644276 | ||||||||
\(491\) | −18.1065 | −0.817134 | −0.408567 | − | 0.912728i | \(-0.633971\pi\) | ||||
−0.408567 | + | 0.912728i | \(0.633971\pi\) | |||||||
\(492\) | 0.434304 | + | 1.13140i | 0.0195799 | + | 0.0510075i | ||||
\(493\) | −1.01594 | − | 4.77961i | −0.0457555 | − | 0.215263i | ||||
\(494\) | −8.77979 | + | 8.80049i | −0.395021 | + | 0.395953i | ||||
\(495\) | − | 37.6306i | − | 1.69137i | ||||||
\(496\) | 6.07481 | + | 4.50277i | 0.272767 | + | 0.202180i | ||||
\(497\) | −3.40921 | − | 5.90493i | −0.152924 | − | 0.264872i | ||||
\(498\) | −0.225499 | + | 1.06089i | −0.0101048 | + | 0.0475395i | ||||
\(499\) | −15.3117 | + | 23.5780i | −0.685448 | + | 1.05550i | 0.309081 | + | 0.951036i | \(0.399978\pi\) |
−0.994529 | + | 0.104461i | \(0.966688\pi\) | |||||||
\(500\) | −23.6215 | + | 29.1702i | −1.05639 | + | 1.30453i | ||||
\(501\) | 1.28436 | + | 0.344143i | 0.0573810 | + | 0.0153752i | ||||
\(502\) | 0.674993 | − | 2.51911i | 0.0301264 | − | 0.112433i | ||||
\(503\) | 15.2906 | − | 11.1092i | 0.681772 | − | 0.495337i | −0.192173 | − | 0.981361i | \(-0.561553\pi\) |
0.873945 | + | 0.486024i | \(0.161553\pi\) | |||||||
\(504\) | −9.87483 | − | 1.03789i | −0.439860 | − | 0.0462311i | ||||
\(505\) | −50.8170 | + | 8.04862i | −2.26133 | + | 0.358159i | ||||
\(506\) | −1.09637 | + | 5.15803i | −0.0487398 | + | 0.229303i | ||||
\(507\) | 1.72485 | − | 0.00406090i | 0.0766033 | − | 0.000180351i | ||||
\(508\) | −0.660608 | − | 0.594814i | −0.0293098 | − | 0.0263906i | ||||
\(509\) | 2.76093 | + | 5.41863i | 0.122376 | + | 0.240176i | 0.944065 | − | 0.329760i | \(-0.106968\pi\) |
−0.821689 | + | 0.569936i | \(0.806968\pi\) | |||||||
\(510\) | 0.182334 | − | 0.0811803i | 0.00807388 | − | 0.00359472i | ||||
\(511\) | −4.81168 | − | 5.34391i | −0.212856 | − | 0.236401i | ||||
\(512\) | −12.9273 | + | 6.58681i | −0.571313 | + | 0.291099i | ||||
\(513\) | 3.90765 | − | 0.618911i | 0.172527 | − | 0.0273256i | ||||
\(514\) | −5.83360 | + | 8.98296i | −0.257309 | + | 0.396221i | ||||
\(515\) | 2.20480 | + | 42.0702i | 0.0971553 | + | 1.85383i | ||||
\(516\) | −1.36273 | − | 0.606724i | −0.0599906 | − | 0.0267096i | ||||
\(517\) | 2.05472 | + | 6.32376i | 0.0903663 | + | 0.278119i | ||||
\(518\) | 0.241895 | + | 1.52726i | 0.0106283 | + | 0.0671042i | ||||
\(519\) | 0.00181723 | + | 0.00132030i | 7.97676e−5 | + | 5.79545e-5i | ||||
\(520\) | 35.2343 | − | 1.88814i | 1.54513 | − | 0.0828006i | ||||
\(521\) | 10.3791 | + | 17.9771i | 0.454715 | + | 0.787590i | 0.998672 | − | 0.0515232i | \(-0.0164076\pi\) |
−0.543956 | + | 0.839114i | \(0.683074\pi\) | |||||||
\(522\) | 13.1681 | − | 13.1681i | 0.576353 | − | 0.576353i | ||||
\(523\) | 3.97673 | − | 8.93189i | 0.173890 | − | 0.390564i | −0.805484 | − | 0.592617i | \(-0.798095\pi\) |
0.979375 | + | 0.202053i | \(0.0647613\pi\) | |||||||
\(524\) | 26.6076 | + | 8.64533i | 1.16236 | + | 0.377673i | ||||
\(525\) | 1.80004 | + | 0.917168i | 0.0785603 | + | 0.0400285i | ||||
\(526\) | 1.33574 | + | 4.98505i | 0.0582410 | + | 0.217358i | ||||
\(527\) | −0.286426 | − | 3.00022i | −0.0124769 | − | 0.130692i | ||||
\(528\) | −0.400172 | + | 0.400172i | −0.0174152 | + | 0.0174152i | ||||
\(529\) | 16.7341 | + | 3.55694i | 0.727569 | + | 0.154649i | ||||
\(530\) | 17.7203 | + | 19.6804i | 0.769722 | + | 0.854863i | ||||
\(531\) | 33.9362 | − | 13.0269i | 1.47270 | − | 0.565318i | ||||
\(532\) | −8.97663 | − | 5.18266i | −0.389186 | − | 0.224697i | ||||
\(533\) | 16.0679 | − | 14.5019i | 0.695978 | − | 0.628147i | ||||
\(534\) | −1.34755 | − | 0.599967i | −0.0583141 | − | 0.0259631i | ||||
\(535\) | −13.0321 | + | 10.5532i | −0.563428 | + | 0.456255i | ||||
\(536\) | −25.4994 | − | 18.5264i | −1.10140 | − | 0.800217i | ||||
\(537\) | −2.07965 | − | 1.87252i | −0.0897435 | − | 0.0808054i | ||||
\(538\) | −4.22548 | − | 3.42172i | −0.182173 | − | 0.147521i | ||||
\(539\) | −14.3610 | − | 7.31728i | −0.618571 | − | 0.315178i | ||||
\(540\) | −4.06924 | − | 2.64260i | −0.175112 | − | 0.113719i | ||||
\(541\) | 18.5992 | + | 22.9681i | 0.799643 | + | 0.987477i | 0.999970 | + | 0.00774798i | \(0.00246628\pi\) |
−0.200327 | + | 0.979729i | \(0.564200\pi\) | |||||||
\(542\) | −0.489362 | + | 0.440623i | −0.0210199 | + | 0.0189264i | ||||
\(543\) | 0.0257990 | + | 0.121375i | 0.00110714 | + | 0.00520870i | ||||
\(544\) | 2.93672 | + | 1.12730i | 0.125911 | + | 0.0483326i | ||||
\(545\) | −30.5413 | + | 27.4996i | −1.30825 | + | 1.17795i | ||||
\(546\) | −0.117571 | − | 0.436723i | −0.00503156 | − | 0.0186900i | ||||
\(547\) | −2.64793 | − | 25.1934i | −0.113217 | − | 1.07719i | −0.892664 | − | 0.450723i | \(-0.851166\pi\) |
0.779446 | − | 0.626469i | \(-0.215500\pi\) | |||||||
\(548\) | −22.9139 | − | 11.6752i | −0.978835 | − | 0.498742i | ||||
\(549\) | 10.1922 | − | 14.0283i | 0.434992 | − | 0.598715i | ||||
\(550\) | 22.1094 | − | 9.84376i | 0.942750 | − | 0.419739i | ||||
\(551\) | 42.0057 | − | 16.1245i | 1.78950 | − | 0.686927i | ||||
\(552\) | 0.554737 | + | 0.554737i | 0.0236112 | + | 0.0236112i | ||||
\(553\) | 0.346505 | − | 1.29317i | 0.0147349 | − | 0.0549913i | ||||
\(554\) | 13.1086 | + | 2.07620i | 0.556932 | + | 0.0882094i | ||||
\(555\) | −0.269417 | + | 0.829180i | −0.0114361 | + | 0.0351967i | ||||
\(556\) | 0.789864 | − | 0.877233i | 0.0334977 | − | 0.0372030i | ||||
\(557\) | 3.95279 | − | 14.7520i | 0.167485 | − | 0.625063i | −0.830225 | − | 0.557429i | \(-0.811788\pi\) |
0.997710 | − | 0.0676348i | \(-0.0215453\pi\) | |||||||
\(558\) | 8.99496 | − | 7.14297i | 0.380787 | − | 0.302386i | ||||
\(559\) | −1.36299 | + | 26.6067i | −0.0576485 | + | 1.12534i | ||||
\(560\) | 2.30444 | + | 7.09233i | 0.0973803 | + | 0.299706i | ||||
\(561\) | 0.225255 | + | 0.0118051i | 0.00951027 | + | 0.000498412i | ||||
\(562\) | 2.06002 | + | 0.917182i | 0.0868969 | + | 0.0386890i | ||||
\(563\) | 31.1197 | − | 17.9670i | 1.31154 | − | 0.757217i | 0.329188 | − | 0.944265i | \(-0.393225\pi\) |
0.982351 | + | 0.187047i | \(0.0598918\pi\) | |||||||
\(564\) | 0.412843 | + | 0.110621i | 0.0173838 | + | 0.00465798i | ||||
\(565\) | −42.0592 | − | 6.66153i | −1.76945 | − | 0.280253i | ||||
\(566\) | 1.26837 | − | 3.30421i | 0.0533134 | − | 0.138886i | ||||
\(567\) | 4.33076 | − | 11.2820i | 0.181875 | − | 0.473800i | ||||
\(568\) | −8.13136 | + | 9.03079i | −0.341184 | + | 0.378924i | ||||
\(569\) | −26.9109 | + | 19.5519i | −1.12816 | + | 0.819658i | −0.985426 | − | 0.170103i | \(-0.945590\pi\) |
−0.142736 | + | 0.989761i | \(0.545590\pi\) | |||||||
\(570\) | 1.00096 | + | 1.54134i | 0.0419254 | + | 0.0645595i | ||||
\(571\) | −7.21041 | − | 8.00797i | −0.301746 | − | 0.335123i | 0.573135 | − | 0.819461i | \(-0.305727\pi\) |
−0.874881 | + | 0.484338i | \(0.839060\pi\) | |||||||
\(572\) | 15.7481 | + | 6.98929i | 0.658460 | + | 0.292237i | ||||
\(573\) | 1.06788 | + | 0.346975i | 0.0446113 | + | 0.0144951i | ||||
\(574\) | −4.75976 | − | 3.09102i | −0.198669 | − | 0.129017i | ||||
\(575\) | 10.9989 | + | 24.7039i | 0.458686 | + | 1.03023i | ||||
\(576\) | 0.808266 | + | 3.80259i | 0.0336777 | + | 0.158441i | ||||
\(577\) | 36.4121 | − | 1.90828i | 1.51586 | − | 0.0794427i | 0.723851 | − | 0.689956i | \(-0.242370\pi\) |
0.792006 | + | 0.610514i | \(0.209037\pi\) | |||||||
\(578\) | 4.14148 | + | 10.7889i | 0.172263 | + | 0.448760i | ||||
\(579\) | 0.157950 | − | 0.00827781i | 0.00656418 | − | 0.000344014i | ||||
\(580\) | −51.5151 | − | 19.7748i | −2.13905 | − | 0.821104i | ||||
\(581\) | 6.56950 | + | 14.7553i | 0.272549 | + | 0.612154i | ||||
\(582\) | 0.0423453 | + | 0.402888i | 0.00175527 | + | 0.0167003i | ||||
\(583\) | 7.74622 | + | 28.9093i | 0.320816 | + | 1.19730i | ||||
\(584\) | −6.40802 | + | 11.0990i | −0.265166 | + | 0.459281i | ||||
\(585\) | −8.93226 | + | 42.2676i | −0.369303 | + | 1.74755i | ||||
\(586\) | 5.65517 | − | 1.20204i | 0.233613 | − | 0.0496559i | ||||
\(587\) | −1.01524 | − | 19.3719i | −0.0419035 | − | 0.799566i | −0.936066 | − | 0.351824i | \(-0.885562\pi\) |
0.894163 | − | 0.447742i | \(-0.147772\pi\) | |||||||
\(588\) | −0.897232 | + | 0.518017i | −0.0370012 | + | 0.0213627i | ||||
\(589\) | 26.8736 | − | 6.92666i | 1.10731 | − | 0.285408i | ||||
\(590\) | 23.9506 | + | 23.9506i | 0.986029 | + | 0.986029i | ||||
\(591\) | −1.90625 | − | 2.93537i | −0.0784126 | − | 0.120745i | ||||
\(592\) | −1.97921 | + | 1.00846i | −0.0813449 | + | 0.0414473i | ||||
\(593\) | 1.82102 | − | 11.4974i | 0.0747801 | − | 0.472143i | −0.921671 | − | 0.387972i | \(-0.873176\pi\) |
0.996451 | − | 0.0841712i | \(-0.0268243\pi\) | |||||||
\(594\) | 0.862184 | + | 1.49335i | 0.0353758 | + | 0.0612728i | ||||
\(595\) | 1.48614 | − | 2.57408i | 0.0609260 | − | 0.105527i | ||||
\(596\) | 18.6843 | + | 15.1303i | 0.765339 | + | 0.619759i | ||||
\(597\) | 0.816107 | − | 1.12327i | 0.0334010 | − | 0.0459726i | ||||
\(598\) | 2.45582 | − | 5.53339i | 0.100426 | − | 0.226277i | ||||
\(599\) | 29.5516 | + | 6.28138i | 1.20744 | + | 0.256650i | 0.767307 | − | 0.641280i | \(-0.221596\pi\) |
0.440138 | + | 0.897930i | \(0.354930\pi\) | |||||||
\(600\) | 0.563252 | − | 3.55623i | 0.0229947 | − | 0.145183i | ||||
\(601\) | 7.34296 | − | 34.5459i | 0.299526 | − | 1.40916i | −0.528722 | − | 0.848795i | \(-0.677328\pi\) |
0.828247 | − | 0.560363i | \(-0.189338\pi\) | |||||||
\(602\) | 6.83301 | − | 1.45240i | 0.278492 | − | 0.0591954i | ||||
\(603\) | 29.9903 | − | 24.2856i | 1.22130 | − | 0.988988i | ||||
\(604\) | 32.0279 | + | 1.67851i | 1.30320 | + | 0.0682976i | ||||
\(605\) | −4.55920 | − | 0.238938i | −0.185358 | − | 0.00971420i | ||||
\(606\) | 0.913421 | − | 0.739674i | 0.0371052 | − | 0.0300472i | ||||
\(607\) | 4.17148 | − | 0.886675i | 0.169315 | − | 0.0359890i | −0.122474 | − | 0.992472i | \(-0.539083\pi\) |
0.291789 | + | 0.956483i | \(0.405749\pi\) | |||||||
\(608\) | −6.02224 | + | 28.3324i | −0.244234 | + | 1.14903i | ||||
\(609\) | −0.256081 | + | 1.61683i | −0.0103769 | + | 0.0655174i | ||||
\(610\) | 15.8042 | + | 3.35929i | 0.639894 | + | 0.136014i | ||||
\(611\) | −0.806853 | − | 7.59073i | −0.0326418 | − | 0.307088i | ||||
\(612\) | −1.44380 | + | 1.98722i | −0.0583621 | + | 0.0803286i | ||||
\(613\) | 32.8757 | + | 26.6222i | 1.32784 | + | 1.07526i | 0.991023 | + | 0.133688i | \(0.0426821\pi\) |
0.336812 | + | 0.941572i | \(0.390651\pi\) | |||||||
\(614\) | −4.04489 | + | 7.00596i | −0.163239 | + | 0.282737i | ||||
\(615\) | −1.59997 | − | 2.77123i | −0.0645170 | − | 0.111747i | ||||
\(616\) | 1.63569 | − | 10.3273i | 0.0659037 | − | 0.416100i | ||||
\(617\) | −14.3681 | + | 7.32092i | −0.578438 | + | 0.294729i | −0.718627 | − | 0.695396i | \(-0.755229\pi\) |
0.140189 | + | 0.990125i | \(0.455229\pi\) | |||||||
\(618\) | −0.524153 | − | 0.807125i | −0.0210845 | − | 0.0324673i | ||||
\(619\) | 1.74545 | + | 1.74545i | 0.0701554 | + | 0.0701554i | 0.741314 | − | 0.671159i | \(-0.234203\pi\) |
−0.671159 | + | 0.741314i | \(0.734203\pi\) | |||||||
\(620\) | −30.1761 | − | 15.7399i | −1.21190 | − | 0.632130i | ||||
\(621\) | −1.66859 | + | 0.963359i | −0.0669581 | + | 0.0386583i | ||||
\(622\) | 0.183216 | + | 3.49597i | 0.00734629 | + | 0.140176i | ||||
\(623\) | −21.4868 | + | 4.56717i | −0.860852 | + | 0.182980i | ||||
\(624\) | 0.544470 | − | 0.354495i | 0.0217963 | − | 0.0141912i | ||||
\(625\) | 21.7035 | − | 37.5916i | 0.868140 | − | 1.50366i | ||||
\(626\) | 1.56380 | + | 5.83617i | 0.0625019 | + | 0.233260i | ||||
\(627\) | 0.217107 | + | 2.06563i | 0.00867041 | + | 0.0824934i | ||||
\(628\) | 1.55373 | + | 3.48974i | 0.0620006 | + | 0.139256i | ||||
\(629\) | 0.826552 | + | 0.317284i | 0.0329568 | + | 0.0126509i | ||||
\(630\) | 11.3122 | − | 0.592846i | 0.450688 | − | 0.0236195i | ||||
\(631\) | −2.86299 | − | 7.45835i | −0.113974 | − | 0.296912i | 0.864714 | − | 0.502264i | \(-0.167499\pi\) |
−0.978688 | + | 0.205352i | \(0.934166\pi\) | |||||||
\(632\) | −2.38279 | + | 0.124877i | −0.0947823 | + | 0.00496733i | ||||
\(633\) | 0.481378 | + | 2.26470i | 0.0191331 | + | 0.0900139i | ||||
\(634\) | −2.82628 | − | 6.34792i | −0.112246 | − | 0.252108i | ||||
\(635\) | 1.96852 | + | 1.27837i | 0.0781182 | + | 0.0507306i | ||||
\(636\) | 1.82966 | + | 0.594494i | 0.0725509 | + | 0.0235732i | ||||
\(637\) | 14.3937 | + | 11.6278i | 0.570299 | + | 0.460709i | ||||
\(638\) | 13.1221 | + | 14.5735i | 0.519507 | + | 0.576971i | ||||
\(639\) | −8.10340 | − | 12.4781i | −0.320566 | − | 0.493628i | ||||
\(640\) | 34.8451 | − | 25.3165i | 1.37737 | − | 1.00072i | ||||
\(641\) | −12.2240 | + | 13.5761i | −0.482819 | + | 0.536225i | −0.934504 | − | 0.355953i | \(-0.884156\pi\) |
0.451685 | + | 0.892178i | \(0.350823\pi\) | |||||||
\(642\) | 0.137284 | − | 0.357638i | 0.00541818 | − | 0.0141149i | ||||
\(643\) | −3.38194 | + | 8.81026i | −0.133371 | + | 0.347443i | −0.983960 | − | 0.178387i | \(-0.942912\pi\) |
0.850590 | + | 0.525830i | \(0.176245\pi\) | |||||||
\(644\) | 4.98569 | + | 0.789655i | 0.196464 | + | 0.0311168i | ||||
\(645\) | 3.80451 | + | 1.01942i | 0.149803 | + | 0.0401395i | ||||
\(646\) | 1.61627 | − | 0.933151i | 0.0635911 | − | 0.0367143i | ||||
\(647\) | 7.37660 | + | 3.28427i | 0.290004 | + | 0.129118i | 0.546582 | − | 0.837405i | \(-0.315929\pi\) |
−0.256578 | + | 0.966523i | \(0.582595\pi\) | |||||||
\(648\) | −21.5084 | − | 1.12721i | −0.844929 | − | 0.0442808i | ||||
\(649\) | 11.8289 | + | 36.4057i | 0.464327 | + | 1.42905i | ||||
\(650\) | −27.1704 | + | 5.80869i | −1.06571 | + | 0.227836i | ||||
\(651\) | −0.270615 | + | 0.972732i | −0.0106062 | + | 0.0381244i | ||||
\(652\) | −6.19547 | + | 23.1218i | −0.242634 | + | 0.905521i | ||||
\(653\) | 10.9701 | − | 12.1835i | 0.429292 | − | 0.476777i | −0.489226 | − | 0.872157i | \(-0.662721\pi\) |
0.918517 | + | 0.395381i | \(0.129387\pi\) | |||||||
\(654\) | 0.290119 | − | 0.892895i | 0.0113446 | − | 0.0349150i | ||||
\(655\) | −72.9619 | − | 11.5560i | −2.85086 | − | 0.451532i | ||||
\(656\) | 2.11011 | − | 7.87505i | 0.0823861 | − | 0.307469i | ||||
\(657\) | −11.0955 | − | 11.0955i | −0.432875 | − | 0.432875i | ||||
\(658\) | −1.86862 | + | 0.717297i | −0.0728465 | + | 0.0279632i | ||||
\(659\) | −30.0125 | + | 13.3624i | −1.16912 | + | 0.520527i | −0.897127 | − | 0.441772i | \(-0.854350\pi\) |
−0.271995 | + | 0.962299i | \(0.587683\pi\) | |||||||
\(660\) | 1.49721 | − | 2.06074i | 0.0582789 | − | 0.0802141i | ||||
\(661\) | −15.0298 | − | 7.65806i | −0.584591 | − | 0.297864i | 0.136571 | − | 0.990630i | \(-0.456392\pi\) |
−0.721162 | + | 0.692766i | \(0.756392\pi\) | |||||||
\(662\) | −0.366948 | − | 3.49128i | −0.0142619 | − | 0.135693i | ||||
\(663\) | −0.250210 | − | 0.0667279i | −0.00971734 | − | 0.00259150i | ||||
\(664\) | 21.3924 | − | 19.2618i | 0.830188 | − | 0.747505i | ||||
\(665\) | 25.5512 | + | 9.80819i | 0.990834 | + | 0.380345i | ||||
\(666\) | 0.701532 | + | 3.30045i | 0.0271838 | + | 0.127890i | ||||
\(667\) | −16.2837 | + | 14.6619i | −0.630507 | + | 0.567711i | ||||
\(668\) | −9.59591 | − | 11.8500i | −0.371277 | − | 0.458489i | ||||
\(669\) | 2.84207 | + | 1.84566i | 0.109881 | + | 0.0713575i | ||||
\(670\) | 32.0390 | + | 16.3247i | 1.23777 | + | 0.630678i | ||||
\(671\) | 14.1907 | + | 11.4914i | 0.547826 | + | 0.443621i | ||||
\(672\) | −0.783143 | − | 0.705145i | −0.0302104 | − | 0.0272016i | ||||
\(673\) | −32.5726 | − | 23.6654i | −1.25558 | − | 0.912232i | −0.257048 | − | 0.966399i | \(-0.582750\pi\) |
−0.998532 | + | 0.0541661i | \(0.982750\pi\) | |||||||
\(674\) | 1.73437 | − | 1.40447i | 0.0668056 | − | 0.0540981i | ||||
\(675\) | 8.07823 | + | 3.59666i | 0.310931 | + | 0.138436i | ||||
\(676\) | −16.0296 | − | 11.5886i | −0.616522 | − | 0.445716i | ||||
\(677\) | −4.22460 | − | 2.43907i | −0.162365 | − | 0.0937412i | 0.416616 | − | 0.909083i | \(-0.363216\pi\) |
−0.578981 | + | 0.815341i | \(0.696549\pi\) | |||||||
\(678\) | 0.908181 | − | 0.348618i | 0.0348785 | − | 0.0133886i | ||||
\(679\) | 4.03678 | + | 4.48330i | 0.154917 | + | 0.172053i | ||||
\(680\) | −5.18160 | − | 1.10138i | −0.198705 | − | 0.0422361i | ||||
\(681\) | 1.20296 | − | 1.20296i | 0.0460976 | − | 0.0460976i | ||||
\(682\) | 7.01593 | + | 9.85291i | 0.268654 | + | 0.377287i | ||||
\(683\) | −7.30148 | − | 27.2495i | −0.279383 | − | 1.04267i | −0.952847 | − | 0.303453i | \(-0.901861\pi\) |
0.673463 | − | 0.739221i | \(-0.264806\pi\) | |||||||
\(684\) | −20.1529 | − | 10.2684i | −0.770566 | − | 0.392623i | ||||
\(685\) | 64.5807 | + | 20.9835i | 2.46750 | + | 0.801740i | ||||
\(686\) | 4.66513 | − | 10.4780i | 0.178115 | − | 0.400054i | ||||
\(687\) | 0.343489 | − | 0.343489i | 0.0131049 | − | 0.0131049i | ||||
\(688\) | 5.01757 | + | 8.69068i | 0.191293 | + | 0.331329i | ||||
\(689\) | −1.83863 | − | 34.3103i | −0.0700462 | − | 1.30712i | ||||
\(690\) | −0.724079 | − | 0.526074i | −0.0275652 | − | 0.0200273i | ||||
\(691\) | 0.358170 | + | 2.26140i | 0.0136254 | + | 0.0860277i | 0.993564 | − | 0.113272i | \(-0.0361332\pi\) |
−0.979939 | + | 0.199300i | \(0.936133\pi\) | |||||||
\(692\) | −0.00795987 | − | 0.0244979i | −0.000302589 | − | 0.000931272i | ||||
\(693\) | 11.6951 | + | 5.20700i | 0.444260 | + | 0.197797i | ||||
\(694\) | 0.0843892 | + | 1.61024i | 0.00320337 | + | 0.0611239i | ||||
\(695\) | −1.69757 | + | 2.61403i | −0.0643925 | + | 0.0991557i | ||||
\(696\) | 2.88160 | − | 0.456400i | 0.109227 | − | 0.0172998i | ||||
\(697\) | −2.89533 | + | 1.47525i | −0.109669 | + | 0.0558789i | ||||
\(698\) | 2.58641 | + | 2.87250i | 0.0978970 | + | 0.108726i | ||||
\(699\) | 0.506341 | − | 0.225438i | 0.0191516 | − | 0.00852683i | ||||
\(700\) | −10.5177 | − | 20.6421i | −0.397531 | − | 0.780198i | ||||
\(701\) | 6.44285 | + | 5.80117i | 0.243343 | + | 0.219107i | 0.781773 | − | 0.623563i | \(-0.214316\pi\) |
−0.538430 | + | 0.842670i | \(0.680982\pi\) | |||||||
\(702\) | −0.613955 | − | 1.88202i | −0.0231722 | − | 0.0710322i | ||||
\(703\) | −1.69499 | + | 7.97428i | −0.0639276 | + | 0.300756i | ||||
\(704\) | −4.04341 | + | 0.640414i | −0.152392 | + | 0.0241365i | ||||
\(705\) | −1.12236 | − | 0.117965i | −0.0422705 | − | 0.00444281i | ||||
\(706\) | −9.84702 | + | 7.15428i | −0.370597 | + | 0.269255i | ||||
\(707\) | 4.53021 | − | 16.9070i | 0.170376 | − | 0.635853i | ||||
\(708\) | 2.37672 | + | 0.636841i | 0.0893228 | + | 0.0239340i | ||||
\(709\) | −17.0904 | + | 21.1048i | −0.641842 | + | 0.792609i | −0.989426 | − | 0.145040i | \(-0.953669\pi\) |
0.347584 | + | 0.937649i | \(0.387002\pi\) | |||||||
\(710\) | 7.55070 | − | 11.6271i | 0.283373 | − | 0.436356i | ||||
\(711\) | 0.607388 | − | 2.85754i | 0.0227788 | − | 0.107166i | ||||
\(712\) | 19.5752 | + | 33.9052i | 0.733612 | + | 1.27065i | ||||
\(713\) | −11.0091 | + | 7.83923i | −0.412295 | + | 0.293581i | ||||
\(714\) | 0.0679001i | 0.00254110i | ||||||||
\(715\) | −43.9570 | − | 11.7228i | −1.64390 | − | 0.438407i | ||||
\(716\) | 6.67216 | + | 31.3901i | 0.249350 | + | 1.17310i | ||||
\(717\) | −1.15099 | − | 2.99843i | −0.0429844 | − | 0.111978i | ||||
\(718\) | 2.36905 | 0.0884123 | ||||||||
\(719\) | −42.7306 | −1.59358 | −0.796792 | − | 0.604254i | \(-0.793471\pi\) | ||||
−0.796792 | + | 0.604254i | \(0.793471\pi\) | |||||||
\(720\) | 5.83158 | + | 15.1918i | 0.217330 | + | 0.566165i | ||||
\(721\) | −13.3800 | − | 5.13609i | −0.498296 | − | 0.191278i | ||||
\(722\) | 2.54400 | + | 3.14157i | 0.0946777 | + | 0.116917i | ||||
\(723\) | 0.259667 | − | 0.168629i | 0.00965710 | − | 0.00627139i | ||||
\(724\) | 0.578774 | − | 1.29995i | 0.0215100 | − | 0.0483122i | ||||
\(725\) | 98.3675 | + | 20.9087i | 3.65328 | + | 0.776528i | ||||
\(726\) | 0.0929277 | − | 0.0473490i | 0.00344887 | − | 0.00175729i | ||||
\(727\) | 16.2420 | + | 1.70711i | 0.602383 | + | 0.0633131i | 0.400811 | − | 0.916161i | \(-0.368728\pi\) |
0.201572 | + | 0.979474i | \(0.435395\pi\) | |||||||
\(728\) | −4.28861 | + | 11.2116i | −0.158946 | + | 0.415531i | ||||
\(729\) | 8.05113 | − | 24.7788i | 0.298190 | − | 0.917735i | ||||
\(730\) | 5.23973 | − | 13.6500i | 0.193931 | − | 0.505208i | ||||
\(731\) | 1.23599 | − | 3.80398i | 0.0457146 | − | 0.140695i | ||||
\(732\) | 1.11630 | − | 0.362706i | 0.0412595 | − | 0.0134060i | ||||
\(733\) | −25.0681 | + | 30.9566i | −0.925913 | + | 1.14341i | 0.0634569 | + | 0.997985i | \(0.479787\pi\) |
−0.989370 | + | 0.145422i | \(0.953546\pi\) | |||||||
\(734\) | −0.989399 | − | 18.8789i | −0.0365194 | − | 0.696831i | ||||
\(735\) | 2.12596 | − | 1.72156i | 0.0784171 | − | 0.0635009i | ||||
\(736\) | −2.20665 | − | 13.9323i | −0.0813383 | − | 0.513550i | ||||
\(737\) | 23.8863 | + | 32.8767i | 0.879864 | + | 1.21103i | ||||
\(738\) | −10.7250 | − | 6.19210i | −0.394794 | − | 0.227934i | ||||
\(739\) | −2.70831 | − | 2.70831i | −0.0996266 | − | 0.0996266i | 0.655537 | − | 0.755163i | \(-0.272442\pi\) |
−0.755163 | + | 0.655537i | \(0.772442\pi\) | |||||||
\(740\) | 8.08856 | − | 5.87668i | 0.297341 | − | 0.216031i | ||||
\(741\) | 0.246454 | − | 2.37170i | 0.00905370 | − | 0.0871267i | ||||
\(742\) | −8.56842 | + | 2.78405i | −0.314557 | + | 0.102206i | ||||
\(743\) | −22.2333 | − | 5.95740i | −0.815662 | − | 0.218556i | −0.173213 | − | 0.984884i | \(-0.555415\pi\) |
−0.642449 | + | 0.766328i | \(0.722082\pi\) | |||||||
\(744\) | 1.79784 | − | 0.0770303i | 0.0659120 | − | 0.00282407i | ||||
\(745\) | −54.9772 | − | 31.7411i | −2.01421 | − | 1.16290i | ||||
\(746\) | −10.4190 | + | 20.4485i | −0.381468 | + | 0.748672i | ||||
\(747\) | 16.0007 | + | 31.4032i | 0.585436 | + | 1.14898i | ||||
\(748\) | −2.01022 | − | 1.62784i | −0.0735009 | − | 0.0595199i | ||||
\(749\) | −1.47653 | − | 5.51048i | −0.0539512 | − | 0.201349i | ||||
\(750\) | 2.26409i | 0.0826728i | ||||||||
\(751\) | −41.0455 | + | 4.31406i | −1.49777 | + | 0.157422i | −0.817667 | − | 0.575691i | \(-0.804733\pi\) |
−0.680106 | + | 0.733114i | \(0.738066\pi\) | |||||||
\(752\) | −1.80950 | − | 2.23454i | −0.0659855 | − | 0.0814854i | ||||
\(753\) | 0.203469 | + | 0.456998i | 0.00741482 | + | 0.0166539i | ||||
\(754\) | −11.2797 | − | 19.4841i | −0.410784 | − | 0.709568i | ||||
\(755\) | −84.2201 | + | 8.85188i | −3.06508 | + | 0.322153i | ||||
\(756\) | 1.38435 | − | 0.899009i | 0.0503484 | − | 0.0326967i | ||||
\(757\) | −5.81221 | − | 1.88850i | −0.211248 | − | 0.0686387i | 0.201481 | − | 0.979492i | \(-0.435425\pi\) |
−0.412729 | + | 0.910854i | \(0.635425\pi\) | |||||||
\(758\) | −2.89727 | + | 3.98775i | −0.105234 | + | 0.144841i | ||||
\(759\) | −0.459206 | − | 0.901243i | −0.0166681 | − | 0.0327131i | ||||
\(760\) | 2.55287 | − | 48.7116i | 0.0926022 | − | 1.76696i | ||||
\(761\) | −1.48721 | − | 9.38986i | −0.0539113 | − | 0.340382i | −0.999870 | − | 0.0160966i | \(-0.994876\pi\) |
0.945959 | − | 0.324286i | \(-0.105124\pi\) | |||||||
\(762\) | −0.0535466 | − | 0.00280626i | −0.00193979 | − | 0.000101660i | ||||
\(763\) | −4.32046 | − | 13.2970i | −0.156411 | − | 0.481385i | ||||
\(764\) | −7.56842 | − | 10.4170i | −0.273816 | − | 0.376875i | ||||
\(765\) | 2.94451 | − | 5.77892i | 0.106459 | − | 0.208937i | ||||
\(766\) | −6.65861 | + | 2.96461i | −0.240585 | + | 0.107116i | ||||
\(767\) | −4.64503 | − | 43.6996i | −0.167722 | − | 1.57790i | ||||
\(768\) | −0.540890 | + | 1.21486i | −0.0195177 | + | 0.0438374i | ||||
\(769\) | 5.79012 | − | 1.55146i | 0.208797 | − | 0.0559470i | −0.152904 | − | 0.988241i | \(-0.548863\pi\) |
0.361701 | + | 0.932294i | \(0.382196\pi\) | |||||||
\(770\) | 11.9287i | 0.429882i | ||||||||
\(771\) | −0.214755 | − | 2.04326i | −0.00773423 | − | 0.0735862i | ||||
\(772\) | −1.52117 | − | 0.987860i | −0.0547481 | − | 0.0355538i | ||||
\(773\) | 26.0285 | − | 16.9031i | 0.936181 | − | 0.607963i | 0.0161756 | − | 0.999869i | \(-0.494851\pi\) |
0.920005 | + | 0.391906i | \(0.128184\pi\) | |||||||
\(774\) | 14.7240 | − | 3.94528i | 0.529243 | − | 0.141810i | ||||
\(775\) | 58.8059 | + | 19.7294i | 2.11237 | + | 0.708700i | ||||
\(776\) | 5.37604 | − | 9.31157i | 0.192989 | − | 0.334266i | ||||
\(777\) | −0.220419 | − | 0.198466i | −0.00790749 | − | 0.00711994i | ||||
\(778\) | 0.440439 | − | 8.40409i | 0.0157905 | − | 0.301301i | ||||
\(779\) | −17.5875 | − | 24.2072i | −0.630139 | − | 0.867312i | ||||
\(780\) | −2.17086 | + | 1.95928i | −0.0777291 | + | 0.0701535i | ||||
\(781\) | 13.5688 | − | 7.83396i | 0.485530 | − | 0.280321i | ||||
\(782\) | −0.571974 | + | 0.706329i | −0.0204538 | + | 0.0252583i | ||||
\(783\) | −0.748970 | + | 7.12597i | −0.0267660 | + | 0.254661i | ||||
\(784\) | 6.93160 | + | 0.728541i | 0.247557 | + | 0.0260193i | ||||
\(785\) | −5.49349 | − | 8.45923i | −0.196071 | − | 0.301923i | ||||
\(786\) | 1.57546 | − | 0.604763i | 0.0561948 | − | 0.0215712i | ||||
\(787\) | −4.64140 | + | 9.10927i | −0.165448 | + | 0.324710i | −0.958814 | − | 0.284035i | \(-0.908327\pi\) |
0.793366 | + | 0.608745i | \(0.208327\pi\) | |||||||
\(788\) | −2.10059 | + | 40.0817i | −0.0748306 | + | 1.42785i | ||||
\(789\) | −0.800875 | − | 0.581869i | −0.0285119 | − | 0.0207151i | ||||
\(790\) | 2.66264 | − | 0.565961i | 0.0947323 | − | 0.0201360i | ||||
\(791\) | 7.89012 | − | 12.1497i | 0.280540 | − | 0.431994i | ||||
\(792\) | 2.38494 | − | 22.6912i | 0.0847450 | − | 0.806295i | ||||
\(793\) | −13.2117 | − | 16.2758i | −0.469160 | − | 0.577972i | ||||
\(794\) | 12.6110 | − | 14.0059i | 0.447548 | − | 0.497052i | ||||
\(795\) | −5.01721 | − | 0.794648i | −0.177942 | − | 0.0281833i | ||||
\(796\) | −15.1428 | + | 4.92019i | −0.536722 | + | 0.174391i | ||||
\(797\) | 0.171709 | − | 1.63370i | 0.00608225 | − | 0.0578688i | −0.991060 | − | 0.133419i | \(-0.957405\pi\) |
0.997142 | + | 0.0755498i | \(0.0240712\pi\) | |||||||
\(798\) | −0.617532 | + | 0.0978074i | −0.0218604 | + | 0.00346235i | ||||
\(799\) | −0.179278 | + | 1.13192i | −0.00634239 | + | 0.0400443i | ||||
\(800\) | −45.7777 | + | 45.7777i | −1.61849 | + | 1.61849i | ||||
\(801\) | −46.3006 | + | 12.4062i | −1.63595 | + | 0.438351i | ||||
\(802\) | 9.87608 | − | 1.03802i | 0.348736 | − | 0.0366537i | ||||
\(803\) | 12.2797 | − | 11.0567i | 0.433340 | − | 0.390181i | ||||
\(804\) | 2.60859 | − | 0.136711i | 0.0919980 | − | 0.00482141i | ||||
\(805\) | −13.3285 | −0.469769 | ||||||||
\(806\) | −5.54170 | − | 12.7324i | −0.195198 | − | 0.448479i | ||||
\(807\) | 1.04293 | 0.0367128 | ||||||||
\(808\) | −31.1526 | + | 1.63264i | −1.09595 | + | 0.0574361i | ||||
\(809\) | 9.78807 | − | 8.81322i | 0.344130 | − | 0.309856i | −0.478883 | − | 0.877879i | \(-0.658958\pi\) |
0.823013 | + | 0.568023i | \(0.192291\pi\) | |||||||
\(810\) | 24.4368 | − | 2.56841i | 0.858621 | − | 0.0902447i | ||||
\(811\) | −8.77523 | + | 2.35132i | −0.308140 | + | 0.0825659i | −0.409575 | − | 0.912276i | \(-0.634323\pi\) |
0.101435 | + | 0.994842i | \(0.467656\pi\) | |||||||
\(812\) | 13.2740 | − | 13.2740i | 0.465826 | − | 0.465826i | ||||
\(813\) | 0.0197592 | − | 0.124755i | 0.000692987 | − | 0.00437535i | ||||
\(814\) | −3.50947 | + | 0.555845i | −0.123007 | + | 0.0194824i | ||||
\(815\) | 6.60679 | − | 62.8594i | 0.231426 | − | 2.20187i | ||||
\(816\) | −0.0927668 | + | 0.0301418i | −0.00324749 | + | 0.00105517i | ||||
\(817\) | 36.3764 | + | 5.76146i | 1.27265 | + | 0.201568i | ||||
\(818\) | −9.19471 | + | 10.2118i | −0.321485 | + | 0.357046i | ||||
\(819\) | −11.9003 | − | 8.62466i | −0.415829 | − | 0.301370i | ||||
\(820\) | −3.83572 | + | 36.4945i | −0.133949 | + | 1.27444i | ||||
\(821\) | 10.1630 | − | 15.6496i | 0.354691 | − | 0.546176i | −0.615618 | − | 0.788045i | \(-0.711094\pi\) |
0.970309 | + | 0.241868i | \(0.0777602\pi\) | |||||||
\(822\) | −1.51733 | + | 0.322519i | −0.0529230 | + | 0.0112491i | ||||
\(823\) | 37.8857 | + | 27.5256i | 1.32061 | + | 0.959480i | 0.999924 | + | 0.0122952i | \(0.00391378\pi\) |
0.320687 | + | 0.947185i | \(0.396086\pi\) | |||||||
\(824\) | −1.33682 | + | 25.5080i | −0.0465702 | + | 0.888612i | ||||
\(825\) | −2.10754 | + | 4.13628i | −0.0733751 | + | 0.144007i | ||||
\(826\) | −10.7576 | + | 4.12946i | −0.374305 | + | 0.143682i | ||||
\(827\) | −7.48386 | − | 11.5241i | −0.260239 | − | 0.400733i | 0.684264 | − | 0.729234i | \(-0.260123\pi\) |
−0.944504 | + | 0.328501i | \(0.893457\pi\) | |||||||
\(828\) | 10.9545 | + | 1.15137i | 0.380696 | + | 0.0400128i | ||||
\(829\) | −3.90204 | + | 37.1254i | −0.135523 | + | 1.28942i | 0.689485 | + | 0.724300i | \(0.257837\pi\) |
−0.825009 | + | 0.565120i | \(0.808830\pi\) | |||||||
\(830\) | −20.6674 | + | 25.5221i | −0.717375 | + | 0.885884i | ||||
\(831\) | −2.20470 | + | 1.27288i | −0.0764802 | + | 0.0441558i | ||||
\(832\) | 4.69367 | + | 0.240445i | 0.162724 | + | 0.00833592i | ||||
\(833\) | −1.63285 | − | 2.24743i | −0.0565749 | − | 0.0778687i | ||||
\(834\) | 0.00372648 | − | 0.0711054i | 0.000129037 | − | 0.00246218i | ||||
\(835\) | 29.9202 | + | 26.9403i | 1.03543 | + | 0.932308i | ||||
\(836\) | 11.9091 | − | 20.6272i | 0.411886 | − | 0.713407i | ||||
\(837\) | −0.960046 | + | 4.31388i | −0.0331841 | + | 0.149110i | ||||
\(838\) | 9.07399 | − | 2.43137i | 0.313456 | − | 0.0839902i | ||||
\(839\) | 29.3369 | − | 19.0516i | 1.01282 | − | 0.657734i | 0.0722701 | − | 0.997385i | \(-0.476976\pi\) |
0.940552 | + | 0.339651i | \(0.110309\pi\) | |||||||
\(840\) | 1.48836 | + | 0.966552i | 0.0513533 | + | 0.0333492i | ||||
\(841\) | 5.48643 | + | 52.1999i | 0.189187 | + | 1.80000i | ||||
\(842\) | − | 21.0092i | − | 0.724026i | ||||||
\(843\) | −0.417799 | + | 0.111949i | −0.0143898 | + | 0.00385572i | ||||
\(844\) | 10.7992 | − | 24.2554i | 0.371724 | − | 0.834905i | ||||
\(845\) | 46.5909 | + | 23.6013i | 1.60278 | + | 0.811908i | ||||
\(846\) | −3.99002 | + | 1.77647i | −0.137180 | + | 0.0610763i | ||||
\(847\) | 0.705123 | − | 1.38388i | 0.0242283 | − | 0.0475507i | ||||
\(848\) | −7.60727 | − | 10.4705i | −0.261235 | − | 0.359559i | ||||
\(849\) | 0.209787 | + | 0.645659i | 0.00719989 | + | 0.0221590i | ||||
\(850\) | 4.16559 | + | 0.218309i | 0.142879 | + | 0.00748795i | ||||
\(851\) | −0.621073 | − | 3.92130i | −0.0212901 | − | 0.134420i | ||||
\(852\) | 0.0527088 | − | 1.00574i | 0.00180577 | − | 0.0344562i | ||||
\(853\) | 8.04332 | + | 15.7859i | 0.275398 | + | 0.540499i | 0.986732 | − | 0.162355i | \(-0.0519089\pi\) |
−0.711335 | + | 0.702854i | \(0.751909\pi\) | |||||||
\(854\) | −3.23088 | + | 4.44693i | −0.110558 | + | 0.152171i | ||||
\(855\) | 56.7990 | + | 18.4551i | 1.94248 | + | 0.631152i | ||||
\(856\) | −8.52718 | + | 5.53762i | −0.291453 | + | 0.189272i | ||||
\(857\) | −30.1556 | + | 3.16948i | −1.03009 | + | 0.108267i | −0.604466 | − | 0.796631i | \(-0.706614\pi\) |
−0.425628 | + | 0.904898i | \(0.639947\pi\) | |||||||
\(858\) | 1.00354 | − | 0.270163i | 0.0342602 | − | 0.00922322i | ||||
\(859\) | 21.7670 | + | 48.8896i | 0.742682 | + | 1.66809i | 0.744078 | + | 0.668092i | \(0.232889\pi\) |
−0.00139633 | + | 0.999999i | \(0.500444\pi\) | |||||||
\(860\) | −28.4249 | − | 35.1018i | −0.969280 | − | 1.19696i | ||||
\(861\) | 1.08265 | − | 0.113791i | 0.0368967 | − | 0.00387800i | ||||
\(862\) | 8.88179i | 0.302515i | ||||||||
\(863\) | 7.27859 | + | 27.1641i | 0.247766 | + | 0.924675i | 0.971973 | + | 0.235093i | \(0.0755393\pi\) |
−0.724207 | + | 0.689583i | \(0.757794\pi\) | |||||||
\(864\) | −3.58471 | − | 2.90284i | −0.121954 | − | 0.0987567i | ||||
\(865\) | 0.0308779 | + | 0.0606012i | 0.00104988 | + | 0.00206050i | ||||
\(866\) | 2.07886 | − | 4.07999i | 0.0706425 | − | 0.138644i | ||||
\(867\) | −1.91972 | − | 1.10835i | −0.0651971 | − | 0.0376416i | ||||
\(868\) | 9.06728 | − | 7.20041i | 0.307764 | − | 0.244398i | ||||
\(869\) | 2.97156 | + | 0.796226i | 0.100803 | + | 0.0270101i | ||||
\(870\) | −3.16553 | + | 1.02854i | −0.107321 | + | 0.0348709i | ||||
\(871\) | −19.0259 | − | 42.5977i | −0.644666 | − | 1.44337i | ||||
\(872\) | −20.1592 | + | 14.6465i | −0.682678 | + | 0.495994i | ||||
\(873\) | 9.30858 | + | 9.30858i | 0.315048 | + | 0.315048i | ||||
\(874\) | −7.24776 | − | 4.18450i | −0.245159 | − | 0.141543i | ||||
\(875\) | 19.8183 | + | 27.2775i | 0.669980 | + | 0.922148i | ||||
\(876\) | −0.166156 | − | 1.04907i | −0.00561390 | − | 0.0354448i | ||||
\(877\) | 21.4803 | − | 17.3944i | 0.725339 | − | 0.587368i | −0.193922 | − | 0.981017i | \(-0.562121\pi\) |
0.919261 | + | 0.393649i | \(0.128787\pi\) | |||||||
\(878\) | −0.286358 | − | 5.46404i | −0.00966412 | − | 0.184402i | ||||
\(879\) | −0.697902 | + | 0.861837i | −0.0235396 | + | 0.0290690i | ||||
\(880\) | −16.2973 | + | 5.29532i | −0.549383 | + | 0.178505i | ||||
\(881\) | −11.5231 | + | 35.4645i | −0.388224 | + | 1.19483i | 0.545891 | + | 0.837856i | \(0.316191\pi\) |
−0.934115 | + | 0.356973i | \(0.883809\pi\) | |||||||
\(882\) | 3.79409 | − | 9.88393i | 0.127754 | − | 0.332809i | ||||
\(883\) | −5.25701 | + | 16.1794i | −0.176912 | + | 0.544480i | −0.999716 | − | 0.0238459i | \(-0.992409\pi\) |
0.822803 | + | 0.568326i | \(0.192409\pi\) | |||||||
\(884\) | 1.87153 | + | 2.30559i | 0.0629464 | + | 0.0775455i | ||||
\(885\) | −6.46140 | − | 0.679121i | −0.217198 | − | 0.0228284i | ||||
\(886\) | −19.8421 | + | 10.1100i | −0.666608 | + | 0.339654i | ||||
\(887\) | −5.31009 | − | 1.12869i | −0.178295 | − | 0.0378979i | 0.117899 | − | 0.993026i | \(-0.462384\pi\) |
−0.296194 | + | 0.955128i | \(0.595718\pi\) | |||||||
\(888\) | −0.215009 | + | 0.482919i | −0.00721524 | + | 0.0162057i | ||||
\(889\) | −0.669688 | + | 0.434901i | −0.0224606 | + | 0.0145861i | ||||
\(890\) | −28.1083 | − | 34.7108i | −0.942192 | − | 1.16351i | ||||
\(891\) | 25.9247 | + | 9.95156i | 0.868510 | + | 0.333390i | ||||
\(892\) | −13.9266 | − | 36.2800i | −0.466296 | − | 1.21474i | ||||
\(893\) | −10.5527 | −0.353132 | ||||||||
\(894\) | 1.45021 | 0.0485023 | ||||||||
\(895\) | −30.3665 | − | 79.1073i | −1.01504 | − | 2.64427i | ||||
\(896\) | 3.04647 | + | 14.3325i | 0.101775 | + | 0.478815i | ||||
\(897\) | 0.301866 | + | 1.12130i | 0.0100790 | + | 0.0374391i | ||||
\(898\) | 11.3463i | 0.378629i | ||||||||
\(899\) | −0.479478 | + | 50.2581i | −0.0159915 | + | 1.67620i | ||||
\(900\) | −25.2765 | − | 43.7802i | −0.842551 | − | 1.45934i | ||||
\(901\) | −1.07250 | + | 5.04572i | −0.0357302 | + | 0.168097i | ||||
\(902\) | 7.10280 | − | 10.9374i | 0.236497 | − | 0.364174i | ||||
\(903\) | −0.843258 | + | 1.04134i | −0.0280619 | + | 0.0346535i | ||||
\(904\) | −24.9394 | − | 6.68250i | −0.829474 | − | 0.222257i | ||||
\(905\) | −0.972455 | + | 3.62925i | −0.0323255 | + | 0.120640i | ||||
\(906\) | 1.56509 | − | 1.13710i | 0.0519965 | − | 0.0377777i | ||||
\(907\) | 5.06933 | + | 0.532808i | 0.168324 | + | 0.0176916i | 0.188316 | − | 0.982109i | \(-0.439697\pi\) |
−0.0199913 | + | 0.999800i | \(0.506364\pi\) | |||||||
\(908\) | −19.2689 | + | 3.05190i | −0.639462 | + | 0.101281i | ||||
\(909\) | 7.94101 | − | 37.3595i | 0.263387 | − | 1.23914i | ||||
\(910\) | 2.83149 | − | 13.3986i | 0.0938629 | − | 0.444160i | ||||
\(911\) | −8.22565 | − | 7.40641i | −0.272528 | − | 0.245385i | 0.521522 | − | 0.853238i | \(-0.325364\pi\) |
−0.794050 | + | 0.607853i | \(0.792031\pi\) | |||||||
\(912\) | −0.407758 | − | 0.800269i | −0.0135022 | − | 0.0264996i | ||||
\(913\) | −33.9060 | + | 15.0959i | −1.12212 | + | 0.499602i | ||||
\(914\) | 9.23750 | + | 10.2593i | 0.305549 | + | 0.339347i | ||||
\(915\) | −2.76141 | + | 1.40701i | −0.0912894 | + | 0.0465143i | ||||
\(916\) | −5.50198 | + | 0.871428i | −0.181790 | + | 0.0287928i | ||||
\(917\) | 13.6873 | − | 21.0766i | 0.451995 | − | 0.696012i | ||||
\(918\) | 0.0155545 | + | 0.296797i | 0.000513374 | + | 0.00979576i | ||||
\(919\) | 17.0780 | + | 7.60362i | 0.563351 | + | 0.250820i | 0.668596 | − | 0.743626i | \(-0.266896\pi\) |
−0.105244 | + | 0.994446i | \(0.533562\pi\) | |||||||
\(920\) | 7.34062 | + | 22.5921i | 0.242013 | + | 0.744840i | ||||
\(921\) | −0.242745 | − | 1.53263i | −0.00799873 | − | 0.0505020i | ||||
\(922\) | 7.33877 | + | 5.33193i | 0.241689 | + | 0.175598i | ||||
\(923\) | −17.1003 | + | 5.57850i | −0.562865 | + | 0.183619i | ||||
\(924\) | 0.433280 | + | 0.750462i | 0.0142539 | + | 0.0246884i | ||||
\(925\) | −12.8844 | + | 12.8844i | −0.423635 | + | 0.423635i | ||||
\(926\) | 6.73308 | − | 15.1227i | 0.221263 | − | 0.496964i | ||||
\(927\) | −29.7429 | − | 9.66407i | −0.976886 | − | 0.317410i | ||||
\(928\) | −46.7405 | − | 23.8155i | −1.53433 | − | 0.781782i | ||||
\(929\) | −6.35465 | − | 23.7159i | −0.208489 | − | 0.778093i | −0.988358 | − | 0.152149i | \(-0.951381\pi\) |
0.779868 | − | 0.625944i | \(-0.215286\pi\) | |||||||
\(930\) | −2.01205 | + | 0.407653i | −0.0659779 | + | 0.0133675i | ||||
\(931\) | 18.0876 | − | 18.0876i | 0.592798 | − | 0.592798i | ||||
\(932\) | −6.21711 | − | 1.32149i | −0.203648 | − | 0.0432868i | ||||
\(933\) | −0.449320 | − | 0.499020i | −0.0147101 | − | 0.0163372i | ||||
\(934\) | 14.2965 | − | 5.48792i | 0.467797 | − | 0.179570i | ||||
\(935\) | 5.91492 | + | 3.41498i | 0.193439 | + | 0.111682i | ||||
\(936\) | −8.06495 | + | 24.9212i | −0.263611 | + | 0.814573i | ||||
\(937\) | −14.5806 | − | 6.49168i | −0.476326 | − | 0.212074i | 0.154508 | − | 0.987991i | \(-0.450621\pi\) |
−0.630834 | + | 0.775917i | \(0.717287\pi\) | |||||||
\(938\) | −9.50679 | + | 7.69845i | −0.310408 | + | 0.251363i | ||||
\(939\) | −0.937613 | − | 0.681215i | −0.0305978 | − | 0.0222306i | ||||
\(940\) | 9.61751 | + | 8.65964i | 0.313689 | + | 0.282446i | ||||
\(941\) | −37.7647 | − | 30.5813i | −1.23109 | − | 0.996921i | −0.999711 | − | 0.0240579i | \(-0.992341\pi\) |
−0.231384 | − | 0.972863i | \(-0.574325\pi\) | |||||||
\(942\) | 0.205305 | + | 0.104608i | 0.00668920 | + | 0.00340832i | ||||
\(943\) | 12.2208 | + | 7.93630i | 0.397965 | + | 0.258441i | ||||
\(944\) | −10.4172 | − | 12.8642i | −0.339052 | − | 0.418694i | ||||
\(945\) | −3.23896 | + | 2.91638i | −0.105364 | + | 0.0948697i | ||||
\(946\) | 3.33744 | + | 15.7014i | 0.108510 | + | 0.510497i | ||||
\(947\) | 45.0964 | + | 17.3109i | 1.46544 | + | 0.562528i | 0.954795 | − | 0.297266i | \(-0.0960748\pi\) |
0.510641 | + | 0.859794i | \(0.329408\pi\) | |||||||
\(948\) | 0.146955 | − | 0.132319i | 0.00477288 | − | 0.00429752i | ||||
\(949\) | −16.4173 | + | 9.50431i | −0.532928 | + | 0.308523i | ||||
\(950\) | 4.01491 | + | 38.1993i | 0.130261 | + | 1.23935i | ||||
\(951\) | 1.18758 | + | 0.605103i | 0.0385100 | + | 0.0196218i | ||||
\(952\) | 1.05928 | − | 1.45798i | 0.0343315 | − | 0.0472533i | ||||
\(953\) | 22.9323 | − | 10.2101i | 0.742852 | − | 0.330739i | −0.000175652 | − | 1.00000i | \(-0.500056\pi\) |
0.743027 | + | 0.669261i | \(0.233389\pi\) | |||||||
\(954\) | −18.3536 | + | 7.04528i | −0.594219 | + | 0.228099i | ||||
\(955\) | 24.0408 | + | 24.0408i | 0.777942 | + | 0.777942i | ||||
\(956\) | −9.53254 | + | 35.5759i | −0.308305 | + | 1.15061i | ||||
\(957\) | −3.71529 | − | 0.588444i | −0.120098 | − | 0.0190217i | ||||
\(958\) | 6.13889 | − | 18.8936i | 0.198338 | − | 0.610423i | ||||
\(959\) | −15.4575 | + | 17.1673i | −0.499150 | + | 0.554362i | ||||
\(960\) | 0.179834 | − | 0.671151i | 0.00580413 | − | 0.0216613i | ||||
\(961\) | −3.82800 | + | 30.7627i | −0.123484 | + | 0.992347i | ||||
\(962\) | 4.07386 | + | 0.208693i | 0.131347 | + | 0.00672855i | ||||
\(963\) | −3.84683 | − | 11.8393i | −0.123962 | − | 0.381517i | ||||
\(964\) | −3.54568 | − | 0.185821i | −0.114199 | − | 0.00598490i | ||||
\(965\) | 4.37516 | + | 1.94795i | 0.140841 | + | 0.0627066i | ||||
\(966\) | 0.263689 | − | 0.152241i | 0.00848406 | − | 0.00489828i | ||||
\(967\) | 27.2811 | + | 7.30995i | 0.877301 | + | 0.235072i | 0.669242 | − | 0.743044i | \(-0.266619\pi\) |
0.208059 | + | 0.978116i | \(0.433285\pi\) | |||||||
\(968\) | −2.73405 | − | 0.433031i | −0.0878756 | − | 0.0139181i | ||||
\(969\) | −0.128290 | + | 0.334207i | −0.00412127 | + | 0.0107363i | ||||
\(970\) | −4.39590 | + | 11.4517i | −0.141144 | + | 0.367692i | ||||
\(971\) | −5.82210 | + | 6.46609i | −0.186840 | + | 0.207507i | −0.829286 | − | 0.558824i | \(-0.811253\pi\) |
0.642446 | + | 0.766331i | \(0.277920\pi\) | |||||||
\(972\) | 4.37527 | − | 3.17882i | 0.140337 | − | 0.101961i | ||||
\(973\) | −0.577512 | − | 0.889290i | −0.0185142 | − | 0.0285093i | ||||
\(974\) | −11.7592 | − | 13.0599i | −0.376789 | − | 0.418466i | ||||
\(975\) | 3.34906 | − | 4.14571i | 0.107256 | − | 0.132769i | ||||
\(976\) | −7.50973 | − | 2.44006i | −0.240381 | − | 0.0781044i | ||||
\(977\) | −20.9202 | − | 13.5857i | −0.669297 | − | 0.434646i | 0.164754 | − | 0.986335i | \(-0.447317\pi\) |
−0.834050 | + | 0.551688i | \(0.813984\pi\) | |||||||
\(978\) | 0.587284 | + | 1.31906i | 0.0187793 | + | 0.0421790i | ||||
\(979\) | −10.4948 | − | 49.3741i | −0.335415 | − | 1.57800i | ||||
\(980\) | −31.3276 | + | 1.64181i | −1.00072 | + | 0.0524457i | ||||
\(981\) | −10.9333 | − | 28.4822i | −0.349074 | − | 0.909368i | ||||
\(982\) | 12.5074 | − | 0.655484i | 0.399127 | − | 0.0209173i | ||||
\(983\) | 56.3143 | + | 21.6170i | 1.79615 | + | 0.689476i | 0.995968 | + | 0.0897138i | \(0.0285952\pi\) |
0.800178 | + | 0.599762i | \(0.204738\pi\) | |||||||
\(984\) | −0.789145 | − | 1.77245i | −0.0251570 | − | 0.0565036i | ||||
\(985\) | −11.0778 | − | 105.398i | −0.352968 | − | 3.35827i | ||||
\(986\) | 0.874807 | + | 3.26482i | 0.0278595 | + | 0.103973i | ||||
\(987\) | 0.191965 | − | 0.332493i | 0.00611030 | − | 0.0105834i | ||||
\(988\) | −18.2728 | + | 20.3421i | −0.581336 | + | 0.647170i | ||||
\(989\) | −17.5439 | + | 3.72908i | −0.557865 | + | 0.118578i | ||||
\(990\) | 1.36229 | + | 25.9940i | 0.0432963 | + | 0.826143i | ||||
\(991\) | −50.1475 | + | 28.9527i | −1.59299 | + | 0.919712i | −0.600198 | + | 0.799851i | \(0.704912\pi\) |
−0.992791 | + | 0.119861i | \(0.961755\pi\) | |||||||
\(992\) | −26.9663 | − | 17.8801i | −0.856180 | − | 0.567695i | ||||
\(993\) | 0.476142 | + | 0.476142i | 0.0151099 | + | 0.0151099i | ||||
\(994\) | 2.56874 | + | 3.95552i | 0.0814756 | + | 0.125461i | ||||
\(995\) | 37.4591 | − | 19.0864i | 1.18753 | − | 0.605079i | ||||
\(996\) | −0.373207 | + | 2.35634i | −0.0118255 | + | 0.0746634i | ||||
\(997\) | −17.4489 | − | 30.2223i | −0.552611 | − | 0.957151i | −0.998085 | − | 0.0618560i | \(-0.980298\pi\) |
0.445474 | − | 0.895295i | \(-0.353035\pi\) | |||||||
\(998\) | 9.72330 | − | 16.8412i | 0.307786 | − | 0.533100i | ||||
\(999\) | −1.00893 | − | 0.817019i | −0.0319213 | − | 0.0258493i |
(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 | 403.2.cc.a.24.14 | ✓ | 560 | |
13.6 | odd | 12 | 403.2.ch.a.396.22 | yes | 560 | ||
31.22 | odd | 30 | 403.2.ch.a.115.22 | yes | 560 | ||
403.84 | even | 60 | inner | 403.2.cc.a.84.14 | yes | 560 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
403.2.cc.a.24.14 | ✓ | 560 | 1.1 | even | 1 | trivial | |
403.2.cc.a.84.14 | yes | 560 | 403.84 | even | 60 | inner | |
403.2.ch.a.115.22 | yes | 560 | 31.22 | odd | 30 | ||
403.2.ch.a.396.22 | yes | 560 | 13.6 | odd | 12 |