Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [336,2,Mod(37,336)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(336, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([0, 3, 0, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("336.37");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 336 = 2^{4} \cdot 3 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 336.bq (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: | \(2.68297350792\) |
Analytic rank: | \(0\) |
Dimension: | \(120\) |
Relative dimension: | \(30\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 109.19 | ||
Character | \(\chi\) | \(=\) | 336.109 |
Dual form | 336.2.bq.b.37.19 |
$q$-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 \(\left(\mathbb{Z}/336\mathbb{Z}\right)^\times\).
\(n\) | \(85\) | \(113\) | \(127\) | \(241\) |
\(\chi(n)\) | \(e\left(\frac{3}{4}\right)\) | \(1\) | \(1\) | \(e\left(\frac{2}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.426746 | − | 1.34829i | 0.301755 | − | 0.953385i | ||||
\(3\) | 0.965926 | − | 0.258819i | 0.557678 | − | 0.149429i | ||||
\(4\) | −1.63577 | − | 1.15076i | −0.817887 | − | 0.575378i | ||||
\(5\) | −3.88430 | − | 1.04080i | −1.73711 | − | 0.465458i | −0.755310 | − | 0.655367i | \(-0.772514\pi\) |
−0.981802 | + | 0.189910i | \(0.939181\pi\) | |||||||
\(6\) | 0.0632421 | − | 1.41280i | 0.0258185 | − | 0.576773i | ||||
\(7\) | −0.638884 | + | 2.56746i | −0.241475 | + | 0.970407i | ||||
\(8\) | −2.24962 | + | 1.71442i | −0.795359 | + | 0.606139i | ||||
\(9\) | 0.866025 | − | 0.500000i | 0.288675 | − | 0.166667i | ||||
\(10\) | −3.06091 | + | 4.79301i | −0.967943 | + | 1.51568i | ||||
\(11\) | −0.993411 | − | 3.70746i | −0.299525 | − | 1.11784i | −0.937557 | − | 0.347832i | \(-0.886918\pi\) |
0.638032 | − | 0.770010i | \(-0.279749\pi\) | |||||||
\(12\) | −1.87787 | − | 0.688176i | −0.542096 | − | 0.198659i | ||||
\(13\) | −4.53157 | − | 4.53157i | −1.25683 | − | 1.25683i | −0.952597 | − | 0.304235i | \(-0.901599\pi\) |
−0.304235 | − | 0.952597i | \(-0.598401\pi\) | |||||||
\(14\) | 3.18903 | + | 1.95705i | 0.852305 | + | 0.523045i | ||||
\(15\) | −4.02132 | −1.03830 | ||||||||
\(16\) | 1.35152 | + | 3.76476i | 0.337880 | + | 0.941189i | ||||
\(17\) | 1.26445 | − | 2.19010i | 0.306675 | − | 0.531176i | −0.670958 | − | 0.741495i | \(-0.734117\pi\) |
0.977633 | + | 0.210319i | \(0.0674503\pi\) | |||||||
\(18\) | −0.304572 | − | 1.38103i | −0.0717883 | − | 0.325511i | ||||
\(19\) | −1.08273 | + | 4.04080i | −0.248395 | + | 0.927023i | 0.723251 | + | 0.690585i | \(0.242647\pi\) |
−0.971647 | + | 0.236438i | \(0.924020\pi\) | |||||||
\(20\) | 5.15614 | + | 6.17239i | 1.15295 | + | 1.38019i | ||||
\(21\) | 0.0473917 | + | 2.64533i | 0.0103417 | + | 0.577258i | ||||
\(22\) | −5.42267 | − | 0.242739i | −1.15612 | − | 0.0517521i | ||||
\(23\) | 2.54337 | − | 1.46841i | 0.530329 | − | 0.306185i | −0.210822 | − | 0.977525i | \(-0.567614\pi\) |
0.741150 | + | 0.671339i | \(0.234281\pi\) | |||||||
\(24\) | −1.72924 | + | 2.23824i | −0.352979 | + | 0.456880i | ||||
\(25\) | 9.67441 | + | 5.58552i | 1.93488 | + | 1.11710i | ||||
\(26\) | −8.04371 | + | 4.17604i | −1.57750 | + | 0.818989i | ||||
\(27\) | 0.707107 | − | 0.707107i | 0.136083 | − | 0.136083i | ||||
\(28\) | 3.99959 | − | 3.46458i | 0.755851 | − | 0.654744i | ||||
\(29\) | −3.12009 | − | 3.12009i | −0.579386 | − | 0.579386i | 0.355348 | − | 0.934734i | \(-0.384362\pi\) |
−0.934734 | + | 0.355348i | \(0.884362\pi\) | |||||||
\(30\) | −1.71609 | + | 5.42191i | −0.313313 | + | 0.989901i | ||||
\(31\) | 2.63521 | − | 4.56432i | 0.473298 | − | 0.819775i | −0.526235 | − | 0.850339i | \(-0.676397\pi\) |
0.999533 | + | 0.0305636i | \(0.00973022\pi\) | |||||||
\(32\) | 5.65274 | − | 0.215644i | 0.999273 | − | 0.0381208i | ||||
\(33\) | −1.91912 | − | 3.32402i | −0.334076 | − | 0.578637i | ||||
\(34\) | −2.41329 | − | 2.63947i | −0.413875 | − | 0.452665i | ||||
\(35\) | 5.15381 | − | 9.30782i | 0.871153 | − | 1.57331i | ||||
\(36\) | −1.99200 | − | 0.178697i | −0.332000 | − | 0.0297828i | ||||
\(37\) | 2.82212 | + | 0.756186i | 0.463954 | + | 0.124316i | 0.483221 | − | 0.875498i | \(-0.339467\pi\) |
−0.0192671 | + | 0.999814i | \(0.506133\pi\) | |||||||
\(38\) | 4.98612 | + | 3.18423i | 0.808856 | + | 0.516550i | ||||
\(39\) | −5.55002 | − | 3.20430i | −0.888714 | − | 0.513099i | ||||
\(40\) | 10.5225 | − | 4.31793i | 1.66376 | − | 0.682724i | ||||
\(41\) | 2.08157i | 0.325087i | 0.986701 | + | 0.162543i | \(0.0519697\pi\) | ||||
−0.986701 | + | 0.162543i | \(0.948030\pi\) | |||||||
\(42\) | 3.58689 | + | 1.06499i | 0.553470 | + | 0.164331i | ||||
\(43\) | 2.65257 | − | 2.65257i | 0.404513 | − | 0.404513i | −0.475307 | − | 0.879820i | \(-0.657663\pi\) |
0.879820 | + | 0.475307i | \(0.157663\pi\) | |||||||
\(44\) | −2.64139 | + | 7.20775i | −0.398204 | + | 1.08661i | ||||
\(45\) | −3.88430 | + | 1.04080i | −0.579037 | + | 0.155153i | ||||
\(46\) | −0.894475 | − | 4.05584i | −0.131883 | − | 0.598000i | ||||
\(47\) | −3.11058 | − | 5.38768i | −0.453725 | − | 0.785874i | 0.544889 | − | 0.838508i | \(-0.316572\pi\) |
−0.998614 | + | 0.0526337i | \(0.983238\pi\) | |||||||
\(48\) | 2.27986 | + | 3.28668i | 0.329069 | + | 0.474391i | ||||
\(49\) | −6.18365 | − | 3.28061i | −0.883379 | − | 0.468659i | ||||
\(50\) | 11.6594 | − | 10.6603i | 1.64889 | − | 1.50760i | ||||
\(51\) | 0.654529 | − | 2.44273i | 0.0916524 | − | 0.342051i | ||||
\(52\) | 2.19790 | + | 12.6274i | 0.304793 | + | 1.75110i | ||||
\(53\) | 1.24836 | + | 4.65894i | 0.171475 | + | 0.639955i | 0.997125 | + | 0.0757721i | \(0.0241422\pi\) |
−0.825650 | + | 0.564183i | \(0.809191\pi\) | |||||||
\(54\) | −0.651630 | − | 1.25514i | −0.0886756 | − | 0.170803i | ||||
\(55\) | 15.4348i | 2.08123i | ||||||||
\(56\) | −2.96445 | − | 6.87110i | −0.396141 | − | 0.918190i | ||||
\(57\) | 4.18334i | 0.554097i | ||||||||
\(58\) | −5.53828 | + | 2.87530i | −0.727211 | + | 0.377545i | ||||
\(59\) | −3.15101 | − | 11.7597i | −0.410226 | − | 1.53099i | −0.794209 | − | 0.607645i | \(-0.792114\pi\) |
0.383982 | − | 0.923340i | \(-0.374552\pi\) | |||||||
\(60\) | 6.57798 | + | 4.62756i | 0.849214 | + | 0.597416i | ||||
\(61\) | −2.48072 | + | 9.25819i | −0.317624 | + | 1.18539i | 0.603897 | + | 0.797062i | \(0.293614\pi\) |
−0.921521 | + | 0.388328i | \(0.873053\pi\) | |||||||
\(62\) | −5.02946 | − | 5.50083i | −0.638742 | − | 0.698607i | ||||
\(63\) | 0.730438 | + | 2.54292i | 0.0920265 | + | 0.320378i | ||||
\(64\) | 2.12154 | − | 7.71356i | 0.265192 | − | 0.964196i | ||||
\(65\) | 12.8855 | + | 22.3184i | 1.59826 | + | 2.76826i | ||||
\(66\) | −5.30072 | + | 1.16902i | −0.652474 | + | 0.143897i | ||||
\(67\) | −1.23853 | + | 0.331863i | −0.151311 | + | 0.0405436i | −0.333679 | − | 0.942687i | \(-0.608290\pi\) |
0.182369 | + | 0.983230i | \(0.441624\pi\) | |||||||
\(68\) | −4.58863 | + | 2.12743i | −0.556453 | + | 0.257988i | ||||
\(69\) | 2.07665 | − | 2.07665i | 0.249999 | − | 0.249999i | ||||
\(70\) | −10.3503 | − | 10.9209i | −1.23709 | − | 1.30530i | ||||
\(71\) | − | 3.96281i | − | 0.470299i | −0.971959 | − | 0.235149i | \(-0.924442\pi\) | ||
0.971959 | − | 0.235149i | \(-0.0755579\pi\) | |||||||
\(72\) | −1.09101 | + | 2.60954i | −0.128577 | + | 0.307537i | ||||
\(73\) | −10.8844 | − | 6.28413i | −1.27393 | − | 0.735502i | −0.298202 | − | 0.954503i | \(-0.596387\pi\) |
−0.975725 | + | 0.219001i | \(0.929720\pi\) | |||||||
\(74\) | 2.22389 | − | 3.48234i | 0.258522 | − | 0.404814i | ||||
\(75\) | 10.7904 | + | 2.89128i | 1.24597 | + | 0.333856i | ||||
\(76\) | 6.42108 | − | 5.36388i | 0.736548 | − | 0.615279i | ||||
\(77\) | 10.1534 | − | 0.181901i | 1.15709 | − | 0.0207295i | ||||
\(78\) | −6.68878 | + | 6.11561i | −0.757356 | + | 0.692457i | ||||
\(79\) | −1.77968 | − | 3.08249i | −0.200230 | − | 0.346808i | 0.748373 | − | 0.663278i | \(-0.230835\pi\) |
−0.948602 | + | 0.316471i | \(0.897502\pi\) | |||||||
\(80\) | −1.33137 | − | 16.0301i | −0.148851 | − | 1.79222i | ||||
\(81\) | 0.500000 | − | 0.866025i | 0.0555556 | − | 0.0962250i | ||||
\(82\) | 2.80656 | + | 0.888303i | 0.309933 | + | 0.0980966i | ||||
\(83\) | −1.10495 | − | 1.10495i | −0.121284 | − | 0.121284i | 0.643859 | − | 0.765144i | \(-0.277332\pi\) |
−0.765144 | + | 0.643859i | \(0.777332\pi\) | |||||||
\(84\) | 2.96660 | − | 4.38170i | 0.323683 | − | 0.478082i | ||||
\(85\) | −7.19095 | + | 7.19095i | −0.779969 | + | 0.779969i | ||||
\(86\) | −2.44446 | − | 4.70840i | −0.263593 | − | 0.507720i | ||||
\(87\) | −3.82131 | − | 2.20624i | −0.409688 | − | 0.236533i | ||||
\(88\) | 8.59093 | + | 6.63724i | 0.915797 | + | 0.707532i | ||||
\(89\) | −2.08687 | + | 1.20486i | −0.221208 | + | 0.127715i | −0.606510 | − | 0.795076i | \(-0.707431\pi\) |
0.385301 | + | 0.922791i | \(0.374097\pi\) | |||||||
\(90\) | −0.254317 | + | 5.68132i | −0.0268074 | + | 0.598864i | ||||
\(91\) | 14.5298 | − | 8.73946i | 1.52313 | − | 0.916144i | ||||
\(92\) | −5.85016 | − | 0.524802i | −0.609921 | − | 0.0547143i | ||||
\(93\) | 1.36408 | − | 5.09083i | 0.141449 | − | 0.527895i | ||||
\(94\) | −8.59159 | + | 1.89479i | −0.886155 | + | 0.195433i | ||||
\(95\) | 8.41129 | − | 14.5688i | 0.862980 | − | 1.49473i | ||||
\(96\) | 5.40432 | − | 1.67133i | 0.551576 | − | 0.170580i | ||||
\(97\) | 3.77428 | 0.383220 | 0.191610 | − | 0.981471i | \(-0.438629\pi\) | ||||
0.191610 | + | 0.981471i | \(0.438629\pi\) | |||||||
\(98\) | −7.06207 | + | 6.93737i | −0.713377 | + | 0.700780i | ||||
\(99\) | −2.71405 | − | 2.71405i | −0.272772 | − | 0.272772i | ||||
\(100\) | −9.39758 | − | 20.2695i | −0.939758 | − | 2.02695i | ||||
\(101\) | 2.95739 | + | 11.0371i | 0.294272 | + | 1.09824i | 0.941794 | + | 0.336191i | \(0.109139\pi\) |
−0.647522 | + | 0.762047i | \(0.724195\pi\) | |||||||
\(102\) | −3.01420 | − | 1.92492i | −0.298450 | − | 0.190596i | ||||
\(103\) | −5.48477 | + | 3.16663i | −0.540430 | + | 0.312017i | −0.745253 | − | 0.666782i | \(-0.767671\pi\) |
0.204823 | + | 0.978799i | \(0.434338\pi\) | |||||||
\(104\) | 17.9633 | + | 2.42528i | 1.76145 | + | 0.237818i | ||||
\(105\) | 2.56916 | − | 10.3246i | 0.250724 | − | 1.00757i | ||||
\(106\) | 6.81434 | + | 0.305035i | 0.661868 | + | 0.0296277i | ||||
\(107\) | 8.41748 | + | 2.25546i | 0.813748 | + | 0.218043i | 0.641611 | − | 0.767030i | \(-0.278266\pi\) |
0.172137 | + | 0.985073i | \(0.444933\pi\) | |||||||
\(108\) | −1.97038 | + | 0.342960i | −0.189599 | + | 0.0330013i | ||||
\(109\) | 3.89270 | − | 1.04305i | 0.372853 | − | 0.0999057i | −0.0675262 | − | 0.997717i | \(-0.521511\pi\) |
0.440379 | + | 0.897812i | \(0.354844\pi\) | |||||||
\(110\) | 20.8106 | + | 6.58676i | 1.98422 | + | 0.628023i | ||||
\(111\) | 2.92168 | 0.277313 | ||||||||
\(112\) | −10.5293 | + | 1.06472i | −0.994926 | + | 0.100607i | ||||
\(113\) | −5.68947 | −0.535221 | −0.267610 | − | 0.963527i | \(-0.586234\pi\) | ||||
−0.267610 | + | 0.963527i | \(0.586234\pi\) | |||||||
\(114\) | 5.64036 | + | 1.78523i | 0.528268 | + | 0.167202i | ||||
\(115\) | −11.4075 | + | 3.05663i | −1.06376 | + | 0.285033i | ||||
\(116\) | 1.51330 | + | 8.69423i | 0.140507 | + | 0.807239i | ||||
\(117\) | −6.19024 | − | 1.65867i | −0.572288 | − | 0.153344i | ||||
\(118\) | −17.2002 | − | 0.769945i | −1.58341 | − | 0.0708792i | ||||
\(119\) | 4.81513 | + | 4.64564i | 0.441403 | + | 0.425865i | ||||
\(120\) | 9.04643 | − | 6.89423i | 0.825822 | − | 0.629354i | ||||
\(121\) | −3.23212 | + | 1.86607i | −0.293829 | + | 0.169642i | ||||
\(122\) | 11.4241 | + | 7.29564i | 1.03429 | + | 0.660516i | ||||
\(123\) | 0.538750 | + | 2.01064i | 0.0485774 | + | 0.181294i | ||||
\(124\) | −9.56303 | + | 4.43371i | −0.858785 | + | 0.398159i | ||||
\(125\) | −17.5474 | − | 17.5474i | −1.56949 | − | 1.56949i | ||||
\(126\) | 3.74031 | + | 0.100341i | 0.333213 | + | 0.00893911i | ||||
\(127\) | 19.9556 | 1.77077 | 0.885385 | − | 0.464858i | \(-0.153895\pi\) | ||||
0.885385 | + | 0.464858i | \(0.153895\pi\) | |||||||
\(128\) | −9.49477 | − | 6.15218i | −0.839227 | − | 0.543781i | ||||
\(129\) | 1.87565 | − | 3.24872i | 0.165142 | − | 0.286034i | ||||
\(130\) | 35.5906 | − | 7.84915i | 3.12150 | − | 0.688416i | ||||
\(131\) | −1.95603 | + | 7.30000i | −0.170899 | + | 0.637804i | 0.826315 | + | 0.563208i | \(0.190433\pi\) |
−0.997214 | + | 0.0745954i | \(0.976233\pi\) | |||||||
\(132\) | −0.685882 | + | 7.64579i | −0.0596984 | + | 0.665481i | ||||
\(133\) | −9.68283 | − | 5.36146i | −0.839608 | − | 0.464898i | ||||
\(134\) | −0.0810904 | + | 1.81152i | −0.00700515 | + | 0.156492i | ||||
\(135\) | −3.48257 | + | 2.01066i | −0.299732 | + | 0.173050i | ||||
\(136\) | 0.910210 | + | 7.09467i | 0.0780499 | + | 0.608363i | ||||
\(137\) | 0.476286 | + | 0.274984i | 0.0406918 | + | 0.0234934i | 0.520208 | − | 0.854040i | \(-0.325854\pi\) |
−0.479516 | + | 0.877533i | \(0.659188\pi\) | |||||||
\(138\) | −1.91372 | − | 3.68613i | −0.162907 | − | 0.313784i | ||||
\(139\) | −1.08821 | + | 1.08821i | −0.0923008 | + | 0.0923008i | −0.751750 | − | 0.659449i | \(-0.770790\pi\) |
0.659449 | + | 0.751750i | \(0.270790\pi\) | |||||||
\(140\) | −19.1415 | + | 9.29472i | −1.61775 | + | 0.785547i | ||||
\(141\) | −4.39903 | − | 4.39903i | −0.370465 | − | 0.370465i | ||||
\(142\) | −5.34301 | − | 1.69111i | −0.448376 | − | 0.141915i | ||||
\(143\) | −12.2989 | + | 21.3023i | −1.02849 | + | 1.78139i | ||||
\(144\) | 3.05283 | + | 2.58462i | 0.254402 | + | 0.215385i | ||||
\(145\) | 8.87199 | + | 15.3667i | 0.736779 | + | 1.27614i | ||||
\(146\) | −13.1177 | + | 11.9936i | −1.08563 | + | 0.992601i | ||||
\(147\) | −6.82204 | − | 1.56838i | −0.562672 | − | 0.129358i | ||||
\(148\) | −3.74617 | − | 4.48453i | −0.307934 | − | 0.368626i | ||||
\(149\) | −6.77583 | − | 1.81558i | −0.555098 | − | 0.148738i | −0.0296445 | − | 0.999561i | \(-0.509438\pi\) |
−0.525453 | + | 0.850823i | \(0.676104\pi\) | |||||||
\(150\) | 8.50305 | − | 13.3148i | 0.694271 | − | 1.08714i | ||||
\(151\) | −1.76080 | − | 1.01660i | −0.143292 | − | 0.0827297i | 0.426640 | − | 0.904422i | \(-0.359697\pi\) |
−0.569932 | + | 0.821692i | \(0.693030\pi\) | |||||||
\(152\) | −4.49190 | − | 10.9465i | −0.364341 | − | 0.887878i | ||||
\(153\) | − | 2.52890i | − | 0.204450i | ||||||
\(154\) | 4.08768 | − | 13.7674i | 0.329395 | − | 1.10941i | ||||
\(155\) | −14.9865 | + | 14.9865i | −1.20374 | + | 1.20374i | ||||
\(156\) | 5.39121 | + | 11.6282i | 0.431642 | + | 0.931004i | ||||
\(157\) | 21.7807 | − | 5.83613i | 1.73829 | − | 0.465774i | 0.756225 | − | 0.654312i | \(-0.227042\pi\) |
0.982066 | + | 0.188538i | \(0.0603750\pi\) | |||||||
\(158\) | −4.91557 | + | 1.08408i | −0.391062 | + | 0.0862448i | ||||
\(159\) | 2.41165 | + | 4.17710i | 0.191256 | + | 0.331265i | ||||
\(160\) | −22.1814 | − | 5.04572i | −1.75359 | − | 0.398899i | ||||
\(161\) | 2.14517 | + | 7.46812i | 0.169063 | + | 0.588571i | ||||
\(162\) | −0.954281 | − | 1.04372i | −0.0749754 | − | 0.0820023i | ||||
\(163\) | 0.777413 | − | 2.90135i | 0.0608917 | − | 0.227251i | −0.928774 | − | 0.370648i | \(-0.879136\pi\) |
0.989665 | + | 0.143397i | \(0.0458025\pi\) | |||||||
\(164\) | 2.39538 | − | 3.40498i | 0.187048 | − | 0.265884i | ||||
\(165\) | 3.99483 | + | 14.9089i | 0.310997 | + | 1.16066i | ||||
\(166\) | −1.96133 | + | 1.01826i | −0.152229 | + | 0.0790325i | ||||
\(167\) | 1.58111i | 0.122350i | 0.998127 | + | 0.0611749i | \(0.0194848\pi\) | ||||
−0.998127 | + | 0.0611749i | \(0.980515\pi\) | |||||||
\(168\) | −4.64181 | − | 5.86972i | −0.358123 | − | 0.452859i | ||||
\(169\) | 28.0703i | 2.15925i | ||||||||
\(170\) | 6.62678 | + | 12.7642i | 0.508251 | + | 0.978970i | ||||
\(171\) | 1.08273 | + | 4.04080i | 0.0827984 | + | 0.309008i | ||||
\(172\) | −7.39146 | + | 1.28654i | −0.563594 | + | 0.0980981i | ||||
\(173\) | −2.51559 | + | 9.38832i | −0.191257 | + | 0.713781i | 0.801947 | + | 0.597395i | \(0.203798\pi\) |
−0.993204 | + | 0.116386i | \(0.962869\pi\) | |||||||
\(174\) | −4.60538 | + | 4.21074i | −0.349133 | + | 0.319215i | ||||
\(175\) | −20.5214 | + | 21.2701i | −1.55127 | + | 1.60787i | ||||
\(176\) | 12.6151 | − | 8.75066i | 0.950897 | − | 0.659606i | ||||
\(177\) | −6.08728 | − | 10.5435i | −0.457548 | − | 0.792496i | ||||
\(178\) | 0.733931 | + | 3.32788i | 0.0550105 | + | 0.249435i | ||||
\(179\) | −3.15648 | + | 0.845775i | −0.235926 | + | 0.0632162i | −0.374845 | − | 0.927088i | \(-0.622304\pi\) |
0.138919 | + | 0.990304i | \(0.455637\pi\) | |||||||
\(180\) | 7.55154 | + | 2.76738i | 0.562859 | + | 0.206268i | ||||
\(181\) | 7.83598 | − | 7.83598i | 0.582444 | − | 0.582444i | −0.353130 | − | 0.935574i | \(-0.614883\pi\) |
0.935574 | + | 0.353130i | \(0.114883\pi\) | |||||||
\(182\) | −5.58281 | − | 23.3199i | −0.413825 | − | 1.72858i | ||||
\(183\) | 9.58478i | 0.708528i | ||||||||
\(184\) | −3.20412 | + | 7.66376i | −0.236211 | + | 0.564980i | ||||
\(185\) | −10.1749 | − | 5.87451i | −0.748077 | − | 0.431902i | ||||
\(186\) | −6.28180 | − | 4.01168i | −0.460604 | − | 0.294150i | ||||
\(187\) | −9.37582 | − | 2.51224i | −0.685628 | − | 0.183713i | ||||
\(188\) | −1.11170 | + | 12.3926i | −0.0810792 | + | 0.903820i | ||||
\(189\) | 1.36371 | + | 2.26722i | 0.0991950 | + | 0.164916i | ||||
\(190\) | −16.0535 | − | 17.5580i | −1.16464 | − | 1.27379i | ||||
\(191\) | −5.64673 | − | 9.78043i | −0.408583 | − | 0.707687i | 0.586148 | − | 0.810204i | \(-0.300644\pi\) |
−0.994731 | + | 0.102517i | \(0.967310\pi\) | |||||||
\(192\) | 0.0528300 | − | 7.99983i | 0.00381268 | − | 0.577338i | ||||
\(193\) | 7.11865 | − | 12.3299i | 0.512412 | − | 0.887523i | −0.487485 | − | 0.873132i | \(-0.662085\pi\) |
0.999896 | − | 0.0143917i | \(-0.00458118\pi\) | |||||||
\(194\) | 1.61066 | − | 5.08882i | 0.115639 | − | 0.365356i | ||||
\(195\) | 18.2229 | + | 18.2229i | 1.30497 | + | 1.30497i | ||||
\(196\) | 6.33988 | + | 12.4822i | 0.452849 | + | 0.891587i | ||||
\(197\) | 11.5300 | − | 11.5300i | 0.821480 | − | 0.821480i | −0.164840 | − | 0.986320i | \(-0.552711\pi\) |
0.986320 | + | 0.164840i | \(0.0527109\pi\) | |||||||
\(198\) | −4.81754 | + | 2.50112i | −0.342368 | + | 0.177747i | ||||
\(199\) | 4.94931 | + | 2.85748i | 0.350847 | + | 0.202562i | 0.665058 | − | 0.746792i | \(-0.268407\pi\) |
−0.314211 | + | 0.949353i | \(0.601740\pi\) | |||||||
\(200\) | −31.3396 | + | 4.02071i | −2.21605 | + | 0.284307i | ||||
\(201\) | −1.11044 | + | 0.641111i | −0.0783241 | + | 0.0452205i | ||||
\(202\) | 16.1433 | + | 0.722636i | 1.13584 | + | 0.0508445i | ||||
\(203\) | 10.0041 | − | 6.01732i | 0.702148 | − | 0.422333i | ||||
\(204\) | −3.88165 | + | 3.24256i | −0.271770 | + | 0.227025i | ||||
\(205\) | 2.16649 | − | 8.08544i | 0.151314 | − | 0.564712i | ||||
\(206\) | 1.92893 | + | 8.74641i | 0.134395 | + | 0.609391i | ||||
\(207\) | 1.46841 | − | 2.54337i | 0.102062 | − | 0.176776i | ||||
\(208\) | 10.9358 | − | 23.1848i | 0.758258 | − | 1.60757i | ||||
\(209\) | 16.0567 | 1.11067 | ||||||||
\(210\) | −12.8241 | − | 7.86995i | −0.884950 | − | 0.543078i | ||||
\(211\) | −10.2662 | − | 10.2662i | −0.706752 | − | 0.706752i | 0.259099 | − | 0.965851i | \(-0.416574\pi\) |
−0.965851 | + | 0.259099i | \(0.916574\pi\) | |||||||
\(212\) | 3.31927 | − | 9.05754i | 0.227969 | − | 0.622075i | ||||
\(213\) | −1.02565 | − | 3.82778i | −0.0702764 | − | 0.262275i | ||||
\(214\) | 6.63314 | − | 10.3867i | 0.453432 | − | 0.710020i | ||||
\(215\) | −13.0641 | + | 7.54259i | −0.890967 | + | 0.514400i | ||||
\(216\) | −0.378441 | + | 2.80300i | −0.0257497 | + | 0.190720i | ||||
\(217\) | 10.0351 | + | 9.68185i | 0.681226 | + | 0.657247i | ||||
\(218\) | 0.254867 | − | 5.69361i | 0.0172618 | − | 0.385620i | ||||
\(219\) | −12.1400 | − | 3.25291i | −0.820346 | − | 0.219811i | ||||
\(220\) | 17.7617 | − | 25.2479i | 1.19750 | − | 1.70221i | ||||
\(221\) | −15.6545 | + | 4.19462i | −1.05304 | + | 0.282161i | ||||
\(222\) | 1.24682 | − | 3.93927i | 0.0836808 | − | 0.264387i | ||||
\(223\) | 5.71071 | 0.382418 | 0.191209 | − | 0.981549i | \(-0.438759\pi\) | ||||
0.191209 | + | 0.981549i | \(0.438759\pi\) | |||||||
\(224\) | −3.05779 | + | 14.6509i | −0.204307 | + | 0.978907i | ||||
\(225\) | 11.1710 | 0.744736 | ||||||||
\(226\) | −2.42796 | + | 7.67106i | −0.161506 | + | 0.510272i | ||||
\(227\) | 11.5885 | − | 3.10513i | 0.769157 | − | 0.206095i | 0.147158 | − | 0.989113i | \(-0.452987\pi\) |
0.621999 | + | 0.783018i | \(0.286321\pi\) | |||||||
\(228\) | 4.81401 | − | 6.84301i | 0.318816 | − | 0.453189i | ||||
\(229\) | −2.70340 | − | 0.724374i | −0.178646 | − | 0.0478680i | 0.168387 | − | 0.985721i | \(-0.446144\pi\) |
−0.347033 | + | 0.937853i | \(0.612811\pi\) | |||||||
\(230\) | −0.746885 | + | 16.6851i | −0.0492482 | + | 1.10018i | ||||
\(231\) | 9.76037 | − | 2.80360i | 0.642185 | − | 0.184463i | ||||
\(232\) | 12.3681 | + | 1.66986i | 0.812008 | + | 0.109632i | ||||
\(233\) | −16.2767 | + | 9.39735i | −1.06632 | + | 0.615641i | −0.927174 | − | 0.374631i | \(-0.877769\pi\) |
−0.139147 | + | 0.990272i | \(0.544436\pi\) | |||||||
\(234\) | −4.87803 | + | 7.63841i | −0.318887 | + | 0.499339i | ||||
\(235\) | 6.47495 | + | 24.1649i | 0.422379 | + | 1.57634i | ||||
\(236\) | −8.37824 | + | 22.8623i | −0.545377 | + | 1.48821i | ||||
\(237\) | −2.51685 | − | 2.51685i | −0.163487 | − | 0.163487i | ||||
\(238\) | 8.31852 | − | 4.50969i | 0.539209 | − | 0.292320i | ||||
\(239\) | −15.0892 | −0.976040 | −0.488020 | − | 0.872832i | \(-0.662281\pi\) | ||||
−0.488020 | + | 0.872832i | \(0.662281\pi\) | |||||||
\(240\) | −5.43490 | − | 15.1393i | −0.350821 | − | 0.977238i | ||||
\(241\) | −11.2008 | + | 19.4003i | −0.721505 | + | 1.24968i | 0.238892 | + | 0.971046i | \(0.423216\pi\) |
−0.960397 | + | 0.278637i | \(0.910117\pi\) | |||||||
\(242\) | 1.13670 | + | 5.15418i | 0.0730701 | + | 0.331323i | ||||
\(243\) | 0.258819 | − | 0.965926i | 0.0166032 | − | 0.0619642i | ||||
\(244\) | 14.7118 | − | 12.2896i | 0.941828 | − | 0.786761i | ||||
\(245\) | 20.6047 | + | 19.1788i | 1.31639 | + | 1.22529i | ||||
\(246\) | 2.94084 | + | 0.131643i | 0.187501 | + | 0.00839325i | ||||
\(247\) | 23.2176 | − | 13.4047i | 1.47730 | − | 0.852921i | ||||
\(248\) | 1.89694 | + | 14.7858i | 0.120456 | + | 0.938900i | ||||
\(249\) | −1.35329 | − | 0.781320i | −0.0857610 | − | 0.0495141i | ||||
\(250\) | −31.1473 | + | 16.1707i | −1.96993 | + | 1.02272i | ||||
\(251\) | 11.4516 | − | 11.4516i | 0.722816 | − | 0.722816i | −0.246362 | − | 0.969178i | \(-0.579235\pi\) |
0.969178 | + | 0.246362i | \(0.0792351\pi\) | |||||||
\(252\) | 1.73145 | − | 5.00021i | 0.109071 | − | 0.314983i | ||||
\(253\) | −7.97069 | − | 7.97069i | −0.501113 | − | 0.501113i | ||||
\(254\) | 8.51597 | − | 26.9059i | 0.534340 | − | 1.68823i | ||||
\(255\) | −5.08477 | + | 8.80708i | −0.318421 | + | 0.551521i | ||||
\(256\) | −12.3468 | + | 10.1763i | −0.771674 | + | 0.636018i | ||||
\(257\) | −5.49728 | − | 9.52156i | −0.342911 | − | 0.593939i | 0.642061 | − | 0.766653i | \(-0.278080\pi\) |
−0.984972 | + | 0.172715i | \(0.944746\pi\) | |||||||
\(258\) | −3.57979 | − | 3.91530i | −0.222868 | − | 0.243756i | ||||
\(259\) | −3.74448 | + | 6.76256i | −0.232671 | + | 0.420205i | ||||
\(260\) | 4.60521 | − | 51.3360i | 0.285603 | − | 3.18373i | ||||
\(261\) | −4.26212 | − | 1.14203i | −0.263819 | − | 0.0706900i | ||||
\(262\) | 9.00779 | + | 5.75254i | 0.556503 | + | 0.355393i | ||||
\(263\) | −20.0628 | − | 11.5833i | −1.23713 | − | 0.714255i | −0.268620 | − | 0.963246i | \(-0.586567\pi\) |
−0.968506 | + | 0.248992i | \(0.919901\pi\) | |||||||
\(264\) | 10.0160 | + | 4.18758i | 0.616445 | + | 0.257728i | ||||
\(265\) | − | 19.3960i | − | 1.19149i | ||||||
\(266\) | −11.3609 | + | 10.7673i | −0.696583 | + | 0.660185i | ||||
\(267\) | −1.70392 | + | 1.70392i | −0.104279 | + | 0.104279i | ||||
\(268\) | 2.40785 | + | 0.882394i | 0.147083 | + | 0.0539008i | ||||
\(269\) | −24.2452 | + | 6.49649i | −1.47826 | + | 0.396098i | −0.905754 | − | 0.423803i | \(-0.860695\pi\) |
−0.572504 | + | 0.819902i | \(0.694028\pi\) | |||||||
\(270\) | 1.22478 | + | 5.55356i | 0.0745379 | + | 0.337979i | ||||
\(271\) | −5.08157 | − | 8.80154i | −0.308684 | − | 0.534656i | 0.669391 | − | 0.742910i | \(-0.266555\pi\) |
−0.978075 | + | 0.208255i | \(0.933222\pi\) | |||||||
\(272\) | 9.95411 | + | 1.80040i | 0.603557 | + | 0.109165i | ||||
\(273\) | 11.7727 | − | 12.2022i | 0.712518 | − | 0.738514i | ||||
\(274\) | 0.574011 | − | 0.524823i | 0.0346773 | − | 0.0317057i | ||||
\(275\) | 11.0974 | − | 41.4162i | 0.669201 | − | 2.49749i | ||||
\(276\) | −5.78665 | + | 1.00721i | −0.348315 | + | 0.0606271i | ||||
\(277\) | −6.02122 | − | 22.4715i | −0.361780 | − | 1.35018i | −0.871734 | − | 0.489979i | \(-0.837004\pi\) |
0.509954 | − | 0.860202i | \(-0.329662\pi\) | |||||||
\(278\) | 1.00283 | + | 1.93161i | 0.0601460 | + | 0.115851i | ||||
\(279\) | − | 5.27042i | − | 0.315532i | ||||||
\(280\) | 4.36341 | + | 29.7748i | 0.260763 | + | 1.77939i | ||||
\(281\) | − | 17.6828i | − | 1.05487i | −0.849596 | − | 0.527434i | \(-0.823154\pi\) | ||
0.849596 | − | 0.527434i | \(-0.176846\pi\) | |||||||
\(282\) | −7.80843 | + | 4.05390i | −0.464985 | + | 0.241406i | ||||
\(283\) | −7.95895 | − | 29.7032i | −0.473110 | − | 1.76567i | −0.628491 | − | 0.777817i | \(-0.716327\pi\) |
0.155380 | − | 0.987855i | \(-0.450340\pi\) | |||||||
\(284\) | −4.56022 | + | 6.48226i | −0.270600 | + | 0.384651i | ||||
\(285\) | 4.35400 | − | 16.2494i | 0.257909 | − | 0.962529i | ||||
\(286\) | 23.4732 | + | 25.6732i | 1.38800 | + | 1.51809i | ||||
\(287\) | −5.34434 | − | 1.32988i | −0.315466 | − | 0.0785005i | ||||
\(288\) | 4.78760 | − | 3.01312i | 0.282112 | − | 0.177550i | ||||
\(289\) | 5.30232 | + | 9.18389i | 0.311901 | + | 0.540229i | ||||
\(290\) | 24.5049 | − | 5.40432i | 1.43898 | − | 0.317353i | ||||
\(291\) | 3.64567 | − | 0.976855i | 0.213713 | − | 0.0572643i | ||||
\(292\) | 10.5730 | + | 22.8048i | 0.618737 | + | 1.33455i | ||||
\(293\) | −4.87935 | + | 4.87935i | −0.285055 | + | 0.285055i | −0.835121 | − | 0.550066i | \(-0.814602\pi\) |
0.550066 | + | 0.835121i | \(0.314602\pi\) | |||||||
\(294\) | −5.02591 | + | 8.52879i | −0.293117 | + | 0.497409i | ||||
\(295\) | 48.9579i | 2.85044i | ||||||||
\(296\) | −7.64511 | + | 3.13718i | −0.444363 | + | 0.182345i | ||||
\(297\) | −3.32402 | − | 1.91912i | −0.192879 | − | 0.111359i | ||||
\(298\) | −5.33949 | + | 8.36100i | −0.309308 | + | 0.484340i | ||||
\(299\) | −18.1797 | − | 4.87123i | −1.05136 | − | 0.281710i | ||||
\(300\) | −14.3235 | − | 17.1466i | −0.826968 | − | 0.989960i | ||||
\(301\) | 5.11566 | + | 8.50503i | 0.294862 | + | 0.490222i | ||||
\(302\) | −2.12209 | + | 1.94024i | −0.122112 | + | 0.111648i | ||||
\(303\) | 5.71325 | + | 9.89564i | 0.328218 | + | 0.568489i | ||||
\(304\) | −16.6760 | + | 1.38501i | −0.956432 | + | 0.0794356i | ||||
\(305\) | 19.2718 | − | 33.3797i | 1.10350 | − | 1.91131i | ||||
\(306\) | −3.40970 | − | 1.07920i | −0.194920 | − | 0.0616938i | ||||
\(307\) | −5.50837 | − | 5.50837i | −0.314379 | − | 0.314379i | 0.532224 | − | 0.846604i | \(-0.321356\pi\) |
−0.846604 | + | 0.532224i | \(0.821356\pi\) | |||||||
\(308\) | −16.8180 | − | 11.3866i | −0.958296 | − | 0.648809i | ||||
\(309\) | −4.47829 | + | 4.47829i | −0.254761 | + | 0.254761i | ||||
\(310\) | 13.8107 | + | 26.6015i | 0.784394 | + | 1.51087i | ||||
\(311\) | 26.4649 | + | 15.2795i | 1.50069 | + | 0.866421i | 1.00000 | 0.000792710i | \(0.000252327\pi\) | |
0.500686 | + | 0.865629i | \(0.333081\pi\) | |||||||
\(312\) | 17.9789 | − | 2.30660i | 1.01786 | − | 0.130586i | ||||
\(313\) | 25.4306 | − | 14.6823i | 1.43742 | − | 0.829895i | 0.439750 | − | 0.898120i | \(-0.355067\pi\) |
0.997670 | + | 0.0682256i | \(0.0217338\pi\) | |||||||
\(314\) | 1.42605 | − | 31.8573i | 0.0804767 | − | 1.79781i | ||||
\(315\) | −0.190577 | − | 10.6377i | −0.0107378 | − | 0.599367i | ||||
\(316\) | −0.636046 | + | 7.09024i | −0.0357804 | + | 0.398857i | ||||
\(317\) | −3.66874 | + | 13.6919i | −0.206057 | + | 0.769016i | 0.783068 | + | 0.621937i | \(0.213654\pi\) |
−0.989125 | + | 0.147079i | \(0.953013\pi\) | |||||||
\(318\) | 6.66110 | − | 1.46904i | 0.373536 | − | 0.0823797i | ||||
\(319\) | −8.46808 | + | 14.6671i | −0.474121 | + | 0.821202i | ||||
\(320\) | −16.2689 | + | 27.7537i | −0.909461 | + | 1.55148i | ||||
\(321\) | 8.71441 | 0.486391 | ||||||||
\(322\) | 10.9846 | + | 0.294685i | 0.612150 | + | 0.0164221i | ||||
\(323\) | 7.48068 | + | 7.48068i | 0.416236 | + | 0.416236i | ||||
\(324\) | −1.81447 | + | 0.841244i | −0.100804 | + | 0.0467358i | ||||
\(325\) | −18.5291 | − | 69.1515i | −1.02781 | − | 3.83583i | ||||
\(326\) | −3.58010 | − | 2.28632i | −0.198283 | − | 0.126627i | ||||
\(327\) | 3.49010 | − | 2.01501i | 0.193003 | − | 0.111430i | ||||
\(328\) | −3.56868 | − | 4.68273i | −0.197048 | − | 0.258561i | ||||
\(329\) | 15.8199 | − | 4.54417i | 0.872181 | − | 0.250528i | ||||
\(330\) | 21.8063 | + | 0.976132i | 1.20040 | + | 0.0537343i | ||||
\(331\) | 13.2086 | + | 3.53924i | 0.726011 | + | 0.194534i | 0.602852 | − | 0.797853i | \(-0.294031\pi\) |
0.123159 | + | 0.992387i | \(0.460698\pi\) | |||||||
\(332\) | 0.535923 | + | 3.07899i | 0.0294126 | + | 0.168981i | ||||
\(333\) | 2.82212 | − | 0.756186i | 0.154651 | − | 0.0414387i | ||||
\(334\) | 2.13179 | + | 0.674733i | 0.116647 | + | 0.0369197i | ||||
\(335\) | 5.15623 | 0.281715 | ||||||||
\(336\) | −9.89496 | + | 3.75363i | −0.539814 | + | 0.204777i | ||||
\(337\) | −7.46365 | −0.406571 | −0.203285 | − | 0.979120i | \(-0.565162\pi\) | ||||
−0.203285 | + | 0.979120i | \(0.565162\pi\) | |||||||
\(338\) | 37.8469 | + | 11.9789i | 2.05860 | + | 0.651566i | ||||
\(339\) | −5.49561 | + | 1.47254i | −0.298481 | + | 0.0799776i | ||||
\(340\) | 20.0378 | − | 3.48775i | 1.08670 | − | 0.189150i | ||||
\(341\) | −19.5399 | − | 5.23569i | −1.05814 | − | 0.283529i | ||||
\(342\) | 5.91022 | + | 0.264564i | 0.319588 | + | 0.0143060i | ||||
\(343\) | 12.3735 | − | 13.7803i | 0.668104 | − | 0.744068i | ||||
\(344\) | −1.41964 | + | 10.5149i | −0.0765421 | + | 0.566923i | ||||
\(345\) | −10.2277 | + | 5.90496i | −0.550641 | + | 0.317913i | ||||
\(346\) | 11.5847 | + | 7.39818i | 0.622795 | + | 0.397729i | ||||
\(347\) | 8.97232 | + | 33.4852i | 0.481659 | + | 1.79758i | 0.594654 | + | 0.803982i | \(0.297289\pi\) |
−0.112995 | + | 0.993596i | \(0.536044\pi\) | |||||||
\(348\) | 3.71197 | + | 8.00631i | 0.198982 | + | 0.429183i | ||||
\(349\) | −9.29390 | − | 9.29390i | −0.497491 | − | 0.497491i | 0.413165 | − | 0.910656i | \(-0.364423\pi\) |
−0.910656 | + | 0.413165i | \(0.864423\pi\) | |||||||
\(350\) | 19.9209 | + | 36.7458i | 1.06481 | + | 1.96414i | ||||
\(351\) | −6.40861 | −0.342066 | ||||||||
\(352\) | −6.41499 | − | 20.7431i | −0.341920 | − | 1.10561i | ||||
\(353\) | 2.51157 | − | 4.35017i | 0.133678 | − | 0.231536i | −0.791414 | − | 0.611281i | \(-0.790655\pi\) |
0.925092 | + | 0.379744i | \(0.123988\pi\) | |||||||
\(354\) | −16.8134 | + | 3.70803i | −0.893622 | + | 0.197080i | ||||
\(355\) | −4.12447 | + | 15.3927i | −0.218904 | + | 0.816961i | ||||
\(356\) | 4.80015 | + | 0.430608i | 0.254408 | + | 0.0228222i | ||||
\(357\) | 5.85344 | + | 3.24110i | 0.309797 | + | 0.171537i | ||||
\(358\) | −0.206664 | + | 4.61678i | −0.0109225 | + | 0.244004i | ||||
\(359\) | 8.39455 | − | 4.84660i | 0.443047 | − | 0.255794i | −0.261842 | − | 0.965111i | \(-0.584330\pi\) |
0.704889 | + | 0.709317i | \(0.250997\pi\) | |||||||
\(360\) | 6.95382 | − | 9.00071i | 0.366499 | − | 0.474379i | ||||
\(361\) | 1.29872 | + | 0.749817i | 0.0683538 | + | 0.0394641i | ||||
\(362\) | −7.22120 | − | 13.9091i | −0.379538 | − | 0.731049i | ||||
\(363\) | −2.63902 | + | 2.63902i | −0.138512 | + | 0.138512i | ||||
\(364\) | −33.8244 | − | 2.42442i | −1.77288 | − | 0.127074i | ||||
\(365\) | 35.7379 | + | 35.7379i | 1.87061 | + | 1.87061i | ||||
\(366\) | 12.9231 | + | 4.09027i | 0.675500 | + | 0.213802i | ||||
\(367\) | 15.2674 | − | 26.4439i | 0.796951 | − | 1.38036i | −0.124642 | − | 0.992202i | \(-0.539778\pi\) |
0.921593 | − | 0.388158i | \(-0.126889\pi\) | |||||||
\(368\) | 8.96563 | + | 7.59057i | 0.467366 | + | 0.395686i | ||||
\(369\) | 1.04079 | + | 1.80269i | 0.0541811 | + | 0.0938444i | ||||
\(370\) | −12.2627 | + | 11.2119i | −0.637505 | + | 0.582877i | ||||
\(371\) | −12.7592 | + | 0.228584i | −0.662424 | + | 0.0118675i | ||||
\(372\) | −8.08964 | + | 6.75773i | −0.419429 | + | 0.350372i | ||||
\(373\) | 33.5787 | + | 8.99740i | 1.73864 | + | 0.465867i | 0.982144 | − | 0.188130i | \(-0.0602425\pi\) |
0.756497 | + | 0.653997i | \(0.226909\pi\) | |||||||
\(374\) | −7.38833 | + | 11.5692i | −0.382041 | + | 0.598231i | ||||
\(375\) | −21.4911 | − | 12.4079i | −1.10979 | − | 0.640740i | ||||
\(376\) | 16.2344 | + | 6.78738i | 0.837223 | + | 0.350032i | ||||
\(377\) | 28.2778i | 1.45638i | ||||||||
\(378\) | 3.63883 | − | 0.871142i | 0.187161 | − | 0.0448067i | ||||
\(379\) | 6.01103 | − | 6.01103i | 0.308766 | − | 0.308766i | −0.535665 | − | 0.844431i | \(-0.679939\pi\) |
0.844431 | + | 0.535665i | \(0.179939\pi\) | |||||||
\(380\) | −30.5241 | + | 14.1519i | −1.56585 | + | 0.725977i | ||||
\(381\) | 19.2756 | − | 5.16488i | 0.987519 | − | 0.264605i | ||||
\(382\) | −15.5966 | + | 3.43967i | −0.797991 | + | 0.175989i | ||||
\(383\) | 4.96173 | + | 8.59397i | 0.253533 | + | 0.439132i | 0.964496 | − | 0.264098i | \(-0.0850741\pi\) |
−0.710963 | + | 0.703229i | \(0.751741\pi\) | |||||||
\(384\) | −10.7635 | − | 3.48513i | −0.549275 | − | 0.177850i | ||||
\(385\) | −39.6282 | − | 9.86107i | −2.01964 | − | 0.502567i | ||||
\(386\) | −13.5864 | − | 14.8597i | −0.691529 | − | 0.756341i | ||||
\(387\) | 0.970907 | − | 3.62347i | 0.0493540 | − | 0.184192i | ||||
\(388\) | −6.17387 | − | 4.34328i | −0.313431 | − | 0.220496i | ||||
\(389\) | 2.85837 | + | 10.6676i | 0.144925 | + | 0.540869i | 0.999759 | + | 0.0219662i | \(0.00699261\pi\) |
−0.854833 | + | 0.518903i | \(0.826341\pi\) | |||||||
\(390\) | 32.3463 | − | 16.7932i | 1.63792 | − | 0.850358i | ||||
\(391\) | − | 7.42695i | − | 0.375597i | ||||||
\(392\) | 19.5352 | − | 3.22126i | 0.986676 | − | 0.162698i | ||||
\(393\) | 7.55752i | 0.381226i | ||||||||
\(394\) | −10.6254 | − | 20.4662i | −0.535301 | − | 1.03107i | ||||
\(395\) | 3.70456 | + | 13.8256i | 0.186397 | + | 0.695642i | ||||
\(396\) | 1.31636 | + | 7.56279i | 0.0661498 | + | 0.380044i | ||||
\(397\) | 9.60625 | − | 35.8510i | 0.482124 | − | 1.79931i | −0.110552 | − | 0.993870i | \(-0.535262\pi\) |
0.592676 | − | 0.805441i | \(-0.298071\pi\) | |||||||
\(398\) | 5.96482 | − | 5.45368i | 0.298989 | − | 0.273368i | ||||
\(399\) | −10.7405 | − | 2.67267i | −0.537700 | − | 0.133801i | ||||
\(400\) | −7.95298 | + | 43.9707i | −0.397649 | + | 2.19854i | ||||
\(401\) | −13.8724 | − | 24.0278i | −0.692756 | − | 1.19989i | −0.970931 | − | 0.239359i | \(-0.923063\pi\) |
0.278175 | − | 0.960530i | \(-0.410270\pi\) | |||||||
\(402\) | 0.390529 | + | 1.77078i | 0.0194778 | + | 0.0883186i | ||||
\(403\) | −32.6252 | + | 8.74189i | −1.62518 | + | 0.435464i | ||||
\(404\) | 7.86344 | − | 21.4575i | 0.391221 | − | 1.06755i | ||||
\(405\) | −2.84351 | + | 2.84351i | −0.141295 | + | 0.141295i | ||||
\(406\) | −3.84389 | − | 16.0563i | −0.190769 | − | 0.796859i | ||||
\(407\) | − | 11.2141i | − | 0.555863i | ||||||
\(408\) | 2.71543 | + | 6.61735i | 0.134434 | + | 0.327608i | ||||
\(409\) | 0.188170 | + | 0.108640i | 0.00930442 | + | 0.00537191i | 0.504645 | − | 0.863327i | \(-0.331623\pi\) |
−0.495341 | + | 0.868699i | \(0.664957\pi\) | |||||||
\(410\) | −9.97699 | − | 6.37149i | −0.492728 | − | 0.314665i | ||||
\(411\) | 0.531228 | + | 0.142342i | 0.0262035 | + | 0.00702122i | ||||
\(412\) | 12.6159 | + | 1.13173i | 0.621539 | + | 0.0557565i | ||||
\(413\) | 32.2057 | − | 0.576973i | 1.58474 | − | 0.0283910i | ||||
\(414\) | −2.80256 | − | 3.06522i | −0.137738 | − | 0.150647i | ||||
\(415\) | 3.14194 | + | 5.44200i | 0.154232 | + | 0.267137i | ||||
\(416\) | −26.5930 | − | 24.6386i | −1.30383 | − | 1.20801i | ||||
\(417\) | −0.769481 | + | 1.33278i | −0.0376817 | + | 0.0652665i | ||||
\(418\) | 6.85214 | − | 21.6491i | 0.335149 | − | 1.05889i | ||||
\(419\) | 15.2324 | + | 15.2324i | 0.744152 | + | 0.744152i | 0.973374 | − | 0.229222i | \(-0.0736181\pi\) |
−0.229222 | + | 0.973374i | \(0.573618\pi\) | |||||||
\(420\) | −16.0836 | + | 13.9322i | −0.784801 | + | 0.679821i | ||||
\(421\) | −0.698740 | + | 0.698740i | −0.0340545 | + | 0.0340545i | −0.723929 | − | 0.689874i | \(-0.757666\pi\) |
0.689874 | + | 0.723929i | \(0.257666\pi\) | |||||||
\(422\) | −18.2228 | + | 9.46072i | −0.887073 | + | 0.460541i | ||||
\(423\) | −5.38768 | − | 3.11058i | −0.261958 | − | 0.151242i | ||||
\(424\) | −10.7957 | − | 8.34062i | −0.524286 | − | 0.405056i | ||||
\(425\) | 24.4657 | − | 14.1253i | 1.18676 | − | 0.685175i | ||||
\(426\) | −5.59865 | − | 0.250616i | −0.271255 | − | 0.0121424i | ||||
\(427\) | −22.1851 | − | 12.2841i | −1.07361 | − | 0.594467i | ||||
\(428\) | −11.1736 | − | 13.3759i | −0.540097 | − | 0.646548i | ||||
\(429\) | −6.36638 | + | 23.7597i | −0.307372 | + | 1.14713i | ||||
\(430\) | 4.59452 | + | 20.8330i | 0.221568 | + | 1.00466i | ||||
\(431\) | 1.51849 | − | 2.63011i | 0.0731433 | − | 0.126688i | −0.827134 | − | 0.562005i | \(-0.810030\pi\) |
0.900277 | + | 0.435317i | \(0.143364\pi\) | |||||||
\(432\) | 3.61775 | + | 1.70642i | 0.174059 | + | 0.0821000i | ||||
\(433\) | −20.7669 | −0.997996 | −0.498998 | − | 0.866603i | \(-0.666298\pi\) | ||||
−0.498998 | + | 0.866603i | \(0.666298\pi\) | |||||||
\(434\) | 17.3364 | − | 9.39851i | 0.832173 | − | 0.451143i | ||||
\(435\) | 12.5469 | + | 12.5469i | 0.601577 | + | 0.601577i | ||||
\(436\) | −7.56787 | − | 2.77336i | −0.362435 | − | 0.132820i | ||||
\(437\) | 3.17979 | + | 11.8671i | 0.152110 | + | 0.567682i | ||||
\(438\) | −9.56657 | + | 14.9801i | −0.457108 | + | 0.715776i | ||||
\(439\) | 31.8434 | − | 18.3848i | 1.51980 | − | 0.877458i | 0.520074 | − | 0.854121i | \(-0.325904\pi\) |
0.999728 | − | 0.0233372i | \(-0.00742914\pi\) | |||||||
\(440\) | −26.4618 | − | 34.7224i | −1.26151 | − | 1.65533i | ||||
\(441\) | −6.99551 | + | 0.250733i | −0.333119 | + | 0.0119397i | ||||
\(442\) | −1.02495 | + | 22.8969i | −0.0487519 | + | 1.08909i | ||||
\(443\) | 22.7956 | + | 6.10805i | 1.08305 | + | 0.290202i | 0.755845 | − | 0.654751i | \(-0.227227\pi\) |
0.327205 | + | 0.944953i | \(0.393893\pi\) | |||||||
\(444\) | −4.77921 | − | 3.36214i | −0.226811 | − | 0.159560i | ||||
\(445\) | 9.36005 | − | 2.50802i | 0.443709 | − | 0.118891i | ||||
\(446\) | 2.43703 | − | 7.69970i | 0.115397 | − | 0.364591i | ||||
\(447\) | −7.01486 | −0.331791 | ||||||||
\(448\) | 18.4488 | + | 10.3750i | 0.871625 | + | 0.490174i | ||||
\(449\) | −21.2018 | −1.00057 | −0.500287 | − | 0.865860i | \(-0.666772\pi\) | ||||
−0.500287 | + | 0.865860i | \(0.666772\pi\) | |||||||
\(450\) | 4.76720 | − | 15.0618i | 0.224728 | − | 0.710021i | ||||
\(451\) | 7.71734 | − | 2.06786i | 0.363395 | − | 0.0973715i | ||||
\(452\) | 9.30670 | + | 6.54720i | 0.437750 | + | 0.307954i | ||||
\(453\) | −1.96392 | − | 0.526230i | −0.0922729 | − | 0.0247245i | ||||
\(454\) | 0.758736 | − | 16.9498i | 0.0356092 | − | 0.795493i | ||||
\(455\) | −65.5339 | + | 18.8242i | −3.07228 | + | 0.882491i | ||||
\(456\) | −7.17200 | − | 9.41091i | −0.335860 | − | 0.440706i | ||||
\(457\) | −19.8896 | + | 11.4833i | −0.930397 | + | 0.537165i | −0.886937 | − | 0.461890i | \(-0.847171\pi\) |
−0.0434598 | + | 0.999055i | \(0.513838\pi\) | |||||||
\(458\) | −2.13033 | + | 3.33585i | −0.0995439 | + | 0.155874i | ||||
\(459\) | −0.654529 | − | 2.44273i | −0.0305508 | − | 0.114017i | ||||
\(460\) | 22.1776 | + | 8.12731i | 1.03403 | + | 0.378938i | ||||
\(461\) | 4.17593 | + | 4.17593i | 0.194493 | + | 0.194493i | 0.797634 | − | 0.603142i | \(-0.206085\pi\) |
−0.603142 | + | 0.797634i | \(0.706085\pi\) | |||||||
\(462\) | 0.385134 | − | 14.3562i | 0.0179181 | − | 0.667913i | ||||
\(463\) | −1.33807 | −0.0621854 | −0.0310927 | − | 0.999517i | \(-0.509899\pi\) | ||||
−0.0310927 | + | 0.999517i | \(0.509899\pi\) | |||||||
\(464\) | 7.52952 | − | 15.9632i | 0.349549 | − | 0.741075i | ||||
\(465\) | −10.5970 | + | 18.3546i | −0.491425 | + | 0.851174i | ||||
\(466\) | 5.72434 | + | 25.9560i | 0.265175 | + | 1.20239i | ||||
\(467\) | −0.0511596 | + | 0.190930i | −0.00236738 | + | 0.00883520i | −0.967099 | − | 0.254399i | \(-0.918122\pi\) |
0.964732 | + | 0.263234i | \(0.0847891\pi\) | |||||||
\(468\) | 8.21712 | + | 9.83667i | 0.379836 | + | 0.454700i | ||||
\(469\) | −0.0607666 | − | 3.39189i | −0.00280594 | − | 0.156623i | ||||
\(470\) | 35.3444 | + | 1.58215i | 1.63032 | + | 0.0729790i | ||||
\(471\) | 19.5281 | − | 11.2745i | 0.899805 | − | 0.519503i | ||||
\(472\) | 27.2496 | + | 21.0527i | 1.25427 | + | 0.969029i | ||||
\(473\) | −12.4694 | − | 7.19920i | −0.573343 | − | 0.331019i | ||||
\(474\) | −4.46750 | + | 2.31938i | −0.205199 | + | 0.106533i | ||||
\(475\) | −33.0447 | + | 33.0447i | −1.51620 | + | 1.51620i | ||||
\(476\) | −2.53047 | − | 13.1403i | −0.115984 | − | 0.602283i | ||||
\(477\) | 3.41058 | + | 3.41058i | 0.156160 | + | 0.156160i | ||||
\(478\) | −6.43927 | + | 20.3447i | −0.294525 | + | 0.930543i | ||||
\(479\) | 7.78319 | − | 13.4809i | 0.355623 | − | 0.615957i | −0.631601 | − | 0.775293i | \(-0.717602\pi\) |
0.987224 | + | 0.159336i | \(0.0509354\pi\) | |||||||
\(480\) | −22.7315 | + | 0.867174i | −1.03755 | + | 0.0395809i | ||||
\(481\) | −9.36195 | − | 16.2154i | −0.426868 | − | 0.739357i | ||||
\(482\) | 21.3774 | + | 23.3809i | 0.973712 | + | 1.06497i | ||||
\(483\) | 4.00497 | + | 6.65844i | 0.182232 | + | 0.302970i | ||||
\(484\) | 7.43441 | + | 0.666920i | 0.337928 | + | 0.0303146i | ||||
\(485\) | −14.6604 | − | 3.92825i | −0.665696 | − | 0.178373i | ||||
\(486\) | −1.19190 | − | 0.761169i | −0.0540656 | − | 0.0345273i | ||||
\(487\) | −0.00792057 | − | 0.00457294i | −0.000358915 | − | 0.000207220i | 0.499821 | − | 0.866129i | \(-0.333399\pi\) |
−0.500179 | + | 0.865922i | \(0.666733\pi\) | |||||||
\(488\) | −10.2917 | − | 25.0804i | −0.465885 | − | 1.13533i | ||||
\(489\) | − | 3.00369i | − | 0.135832i | ||||||
\(490\) | 34.6516 | − | 19.5967i | 1.56540 | − | 0.885287i | ||||
\(491\) | −8.63759 | + | 8.63759i | −0.389809 | + | 0.389809i | −0.874619 | − | 0.484810i | \(-0.838889\pi\) |
0.484810 | + | 0.874619i | \(0.338889\pi\) | |||||||
\(492\) | 1.43249 | − | 3.90893i | 0.0645814 | − | 0.176228i | ||||
\(493\) | −10.7785 | + | 2.88809i | −0.485439 | + | 0.130073i | ||||
\(494\) | −8.16540 | − | 37.0245i | −0.367379 | − | 1.66581i | ||||
\(495\) | 7.71742 | + | 13.3670i | 0.346872 | + | 0.600800i | ||||
\(496\) | 20.7451 | + | 3.75216i | 0.931481 | + | 0.168477i | ||||
\(497\) | 10.1743 | + | 2.53177i | 0.456381 | + | 0.113566i | ||||
\(498\) | −1.63096 | + | 1.49120i | −0.0730849 | + | 0.0668221i | ||||
\(499\) | −1.77590 | + | 6.62773i | −0.0795000 | + | 0.296698i | −0.994216 | − | 0.107399i | \(-0.965748\pi\) |
0.914716 | + | 0.404097i | \(0.132414\pi\) | |||||||
\(500\) | 8.51081 | + | 48.8964i | 0.380615 | + | 2.18671i | ||||
\(501\) | 0.409221 | + | 1.52723i | 0.0182826 | + | 0.0682318i | ||||
\(502\) | −10.5531 | − | 20.3270i | −0.471009 | − | 0.907236i | ||||
\(503\) | − | 41.8322i | − | 1.86520i | −0.360906 | − | 0.932602i | \(-0.617533\pi\) | ||
0.360906 | − | 0.932602i | \(-0.382467\pi\) | |||||||
\(504\) | −6.00284 | − | 4.46832i | −0.267388 | − | 0.199035i | ||||
\(505\) | − | 45.9496i | − | 2.04473i | ||||||
\(506\) | −14.1483 | + | 7.34535i | −0.628968 | + | 0.326540i | ||||
\(507\) | 7.26512 | + | 27.1138i | 0.322655 | + | 1.20417i | ||||
\(508\) | −32.6428 | − | 22.9640i | −1.44829 | − | 1.01886i | ||||
\(509\) | −1.74449 | + | 6.51052i | −0.0773231 | + | 0.288574i | −0.993750 | − | 0.111628i | \(-0.964393\pi\) |
0.916427 | + | 0.400202i | \(0.131060\pi\) | |||||||
\(510\) | 9.70460 | + | 10.6141i | 0.429727 | + | 0.470002i | ||||
\(511\) | 23.0881 | − | 23.9305i | 1.02136 | − | 1.05862i | ||||
\(512\) | 8.45164 | + | 20.9898i | 0.373513 | + | 0.927625i | ||||
\(513\) | 2.09167 | + | 3.62288i | 0.0923496 | + | 0.159954i | ||||
\(514\) | −15.1838 | + | 3.34863i | −0.669728 | + | 0.147702i | ||||
\(515\) | 24.6003 | − | 6.59163i | 1.08402 | − | 0.290462i | ||||
\(516\) | −6.80662 | + | 3.15576i | −0.299645 | + | 0.138924i | ||||
\(517\) | −16.8845 | + | 16.8845i | −0.742581 | + | 0.742581i | ||||
\(518\) | 7.51995 | + | 7.93455i | 0.330408 | + | 0.348624i | ||||
\(519\) | 9.71951i | 0.426639i | ||||||||
\(520\) | −67.2506 | − | 28.1166i | −2.94914 | − | 1.23300i | ||||
\(521\) | −16.2403 | − | 9.37632i | −0.711499 | − | 0.410784i | 0.100117 | − | 0.994976i | \(-0.468078\pi\) |
−0.811616 | + | 0.584192i | \(0.801412\pi\) | |||||||
\(522\) | −3.35864 | + | 5.25922i | −0.147004 | + | 0.230190i | ||||
\(523\) | −5.86363 | − | 1.57115i | −0.256398 | − | 0.0687018i | 0.128330 | − | 0.991732i | \(-0.459038\pi\) |
−0.384729 | + | 0.923030i | \(0.625705\pi\) | |||||||
\(524\) | 11.6001 | − | 9.69024i | 0.506755 | − | 0.423320i | ||||
\(525\) | −14.3170 | + | 25.8567i | −0.624847 | + | 1.12848i | ||||
\(526\) | −24.1793 | + | 22.1074i | −1.05427 | + | 0.963927i | ||||
\(527\) | −6.66419 | − | 11.5427i | −0.290297 | − | 0.502809i | ||||
\(528\) | 9.92039 | − | 11.7175i | 0.431730 | − | 0.509939i | ||||
\(529\) | −7.18753 | + | 12.4492i | −0.312501 | + | 0.541268i | ||||
\(530\) | −26.1515 | − | 8.27719i | −1.13595 | − | 0.359538i | ||||
\(531\) | −8.60872 | − | 8.60872i | −0.373586 | − | 0.373586i | ||||
\(532\) | 9.66920 | + | 19.9127i | 0.419213 | + | 0.863326i | ||||
\(533\) | 9.43278 | − | 9.43278i | 0.408579 | − | 0.408579i | ||||
\(534\) | 1.57024 | + | 3.02453i | 0.0679510 | + | 0.130884i | ||||
\(535\) | −30.3485 | − | 17.5217i | −1.31208 | − | 0.757531i | ||||
\(536\) | 2.21726 | − | 2.86992i | 0.0957713 | − | 0.123962i | ||||
\(537\) | −2.83002 | + | 1.63391i | −0.122124 | + | 0.0705085i | ||||
\(538\) | −1.58741 | + | 35.4620i | −0.0684381 | + | 1.52887i | ||||
\(539\) | −6.01983 | + | 26.1847i | −0.259293 | + | 1.12785i | ||||
\(540\) | 8.01048 | + | 0.718598i | 0.344716 | + | 0.0309235i | ||||
\(541\) | −7.83661 | + | 29.2466i | −0.336922 | + | 1.25741i | 0.564848 | + | 0.825195i | \(0.308935\pi\) |
−0.901770 | + | 0.432216i | \(0.857732\pi\) | |||||||
\(542\) | −14.0356 | + | 3.09541i | −0.602880 | + | 0.132959i | ||||
\(543\) | 5.54087 | − | 9.59707i | 0.237782 | − | 0.411850i | ||||
\(544\) | 6.67534 | − | 12.6527i | 0.286203 | − | 0.542481i | ||||
\(545\) | −16.2060 | −0.694189 | ||||||||
\(546\) | −11.4282 | − | 21.0803i | −0.489082 | − | 0.902155i | ||||
\(547\) | −11.8928 | − | 11.8928i | −0.508499 | − | 0.508499i | 0.405567 | − | 0.914065i | \(-0.367074\pi\) |
−0.914065 | + | 0.405567i | \(0.867074\pi\) | |||||||
\(548\) | −0.462657 | − | 0.997900i | −0.0197637 | − | 0.0426282i | ||||
\(549\) | 2.48072 | + | 9.25819i | 0.105875 | + | 0.395130i | ||||
\(550\) | −51.1053 | − | 32.6368i | −2.17914 | − | 1.39164i | ||||
\(551\) | 15.9859 | − | 9.22945i | 0.681021 | − | 0.393188i | ||||
\(552\) | −1.11142 | + | 8.23191i | −0.0473050 | + | 0.350373i | ||||
\(553\) | 9.05118 | − | 2.59989i | 0.384895 | − | 0.110559i | ||||
\(554\) | −32.8676 | − | 1.47128i | −1.39641 | − | 0.0625086i | ||||
\(555\) | −11.3487 | − | 3.04087i | −0.481724 | − | 0.129078i | ||||
\(556\) | 3.03233 | − | 0.527802i | 0.128600 | − | 0.0223838i | ||||
\(557\) | −32.2841 | + | 8.65050i | −1.36792 | + | 0.366533i | −0.866719 | − | 0.498797i | \(-0.833775\pi\) |
−0.501202 | + | 0.865330i | \(0.667109\pi\) | |||||||
\(558\) | −7.10606 | − | 2.24913i | −0.300823 | − | 0.0952134i | ||||
\(559\) | −24.0406 | −1.01681 | ||||||||
\(560\) | 42.0072 | + | 6.82315i | 1.77513 | + | 0.288331i | ||||
\(561\) | −9.70656 | −0.409811 | ||||||||
\(562\) | −23.8416 | − | 7.54608i | −1.00570 | − | 0.318312i | ||||
\(563\) | −0.208812 | + | 0.0559511i | −0.00880039 | + | 0.00235806i | −0.263217 | − | 0.964737i | \(-0.584783\pi\) |
0.254416 | + | 0.967095i | \(0.418117\pi\) | |||||||
\(564\) | 2.13361 | + | 12.2580i | 0.0898411 | + | 0.516156i | ||||
\(565\) | 22.0996 | + | 5.92158i | 0.929738 | + | 0.249123i | ||||
\(566\) | −43.4450 | − | 1.94476i | −1.82613 | − | 0.0817444i | ||||
\(567\) | 1.90404 | + | 1.83702i | 0.0799621 | + | 0.0771475i | ||||
\(568\) | 6.79391 | + | 8.91479i | 0.285066 | + | 0.374056i | ||||
\(569\) | 1.41592 | − | 0.817484i | 0.0593586 | − | 0.0342707i | −0.470027 | − | 0.882652i | \(-0.655756\pi\) |
0.529386 | + | 0.848381i | \(0.322422\pi\) | |||||||
\(570\) | −20.0508 | − | 12.8048i | −0.839836 | − | 0.536335i | ||||
\(571\) | 4.44776 | + | 16.5993i | 0.186133 | + | 0.694657i | 0.994385 | + | 0.105821i | \(0.0337471\pi\) |
−0.808252 | + | 0.588836i | \(0.799586\pi\) | |||||||
\(572\) | 44.6321 | − | 20.6928i | 1.86616 | − | 0.865209i | ||||
\(573\) | −7.98569 | − | 7.98569i | −0.333607 | − | 0.333607i | ||||
\(574\) | −4.07374 | + | 6.63820i | −0.170035 | + | 0.277073i | ||||
\(575\) | 32.8074 | 1.36816 | ||||||||
\(576\) | −2.01948 | − | 7.74091i | −0.0841449 | − | 0.322538i | ||||
\(577\) | −10.1753 | + | 17.6242i | −0.423605 | + | 0.733705i | −0.996289 | − | 0.0860708i | \(-0.972569\pi\) |
0.572684 | + | 0.819776i | \(0.305902\pi\) | |||||||
\(578\) | 14.6453 | − | 3.22988i | 0.609164 | − | 0.134345i | ||||
\(579\) | 3.68489 | − | 13.7522i | 0.153139 | − | 0.571521i | ||||
\(580\) | 3.17079 | − | 35.3460i | 0.131660 | − | 1.46766i | ||||
\(581\) | 3.54285 | − | 2.13098i | 0.146982 | − | 0.0884080i | ||||
\(582\) | 0.238693 | − | 5.33230i | 0.00989416 | − | 0.221031i | ||||
\(583\) | 16.0327 | − | 9.25650i | 0.664007 | − | 0.383365i | ||||
\(584\) | 35.2594 | − | 4.52360i | 1.45905 | − | 0.187188i | ||||
\(585\) | 22.3184 | + | 12.8855i | 0.922753 | + | 0.532752i | ||||
\(586\) | 4.49653 | + | 8.66102i | 0.185750 | + | 0.357784i | ||||
\(587\) | 22.3449 | − | 22.3449i | 0.922271 | − | 0.922271i | −0.0749186 | − | 0.997190i | \(-0.523870\pi\) |
0.997190 | + | 0.0749186i | \(0.0238697\pi\) | |||||||
\(588\) | 9.35449 | + | 10.4160i | 0.385773 | + | 0.429549i | ||||
\(589\) | 15.5903 | + | 15.5903i | 0.642386 | + | 0.642386i | ||||
\(590\) | 66.0094 | + | 20.8926i | 2.71756 | + | 0.860134i | ||||
\(591\) | 8.15296 | − | 14.1213i | 0.335368 | − | 0.580874i | ||||
\(592\) | 0.967299 | + | 11.6466i | 0.0397557 | + | 0.478673i | ||||
\(593\) | 13.9250 | + | 24.1189i | 0.571833 | + | 0.990443i | 0.996378 | + | 0.0850365i | \(0.0271007\pi\) |
−0.424545 | + | 0.905407i | \(0.639566\pi\) | |||||||
\(594\) | −4.00605 | + | 3.66276i | −0.164370 | + | 0.150285i | ||||
\(595\) | −13.8683 | − | 23.0566i | −0.568544 | − | 0.945230i | ||||
\(596\) | 8.99445 | + | 10.7672i | 0.368427 | + | 0.441042i | ||||
\(597\) | 5.52023 | + | 1.47914i | 0.225928 | + | 0.0605372i | ||||
\(598\) | −14.3259 | + | 22.4327i | −0.585831 | + | 0.917341i | ||||
\(599\) | −27.8898 | − | 16.1022i | −1.13955 | − | 0.657917i | −0.193228 | − | 0.981154i | \(-0.561896\pi\) |
−0.946318 | + | 0.323237i | \(0.895229\pi\) | |||||||
\(600\) | −29.2311 | + | 11.9950i | −1.19336 | + | 0.489694i | ||||
\(601\) | 0.114559i | 0.00467296i | 0.999997 | + | 0.00233648i | \(0.000743725\pi\) | ||||
−0.999997 | + | 0.00233648i | \(0.999256\pi\) | |||||||
\(602\) | 13.6503 | − | 3.26791i | 0.556346 | − | 0.133190i | ||||
\(603\) | −0.906667 | + | 0.906667i | −0.0369224 | + | 0.0369224i | ||||
\(604\) | 1.71042 | + | 3.68918i | 0.0695959 | + | 0.150111i | ||||
\(605\) | 14.4967 | − | 3.88439i | 0.589376 | − | 0.157923i | ||||
\(606\) | 15.7803 | − | 3.48019i | 0.641031 | − | 0.141373i | ||||
\(607\) | 9.42723 | + | 16.3284i | 0.382639 | + | 0.662751i | 0.991439 | − | 0.130573i | \(-0.0416819\pi\) |
−0.608799 | + | 0.793324i | \(0.708349\pi\) | |||||||
\(608\) | −5.24901 | + | 23.0751i | −0.212876 | + | 0.935818i | ||||
\(609\) | 8.10579 | − | 8.40152i | 0.328463 | − | 0.340447i | ||||
\(610\) | −36.7813 | − | 40.2286i | −1.48923 | − | 1.62881i | ||||
\(611\) | −10.3189 | + | 38.5105i | −0.417456 | + | 1.55797i | ||||
\(612\) | −2.91015 | + | 4.13672i | −0.117636 | + | 0.167217i | ||||
\(613\) | 10.1503 | + | 37.8813i | 0.409965 | + | 1.53001i | 0.794711 | + | 0.606988i | \(0.207622\pi\) |
−0.384746 | + | 0.923022i | \(0.625711\pi\) | |||||||
\(614\) | −9.77757 | + | 5.07621i | −0.394590 | + | 0.204859i | ||||
\(615\) | − | 8.37067i | − | 0.337538i | ||||||
\(616\) | −22.5294 | + | 17.8164i | −0.907736 | + | 0.717844i | ||||
\(617\) | − | 16.4957i | − | 0.664093i | −0.943263 | − | 0.332046i | \(-0.892261\pi\) | ||
0.943263 | − | 0.332046i | \(-0.107739\pi\) | |||||||
\(618\) | 4.12694 | + | 7.94913i | 0.166010 | + | 0.319761i | ||||
\(619\) | 0.161946 | + | 0.604390i | 0.00650915 | + | 0.0242925i | 0.969104 | − | 0.246652i | \(-0.0793306\pi\) |
−0.962595 | + | 0.270945i | \(0.912664\pi\) | |||||||
\(620\) | 41.7602 | − | 7.26871i | 1.67713 | − | 0.291918i | ||||
\(621\) | 0.760107 | − | 2.83676i | 0.0305020 | − | 0.113835i | ||||
\(622\) | 31.8950 | − | 29.1619i | 1.27887 | − | 1.16928i | ||||
\(623\) | −1.76015 | − | 6.12772i | −0.0705188 | − | 0.245502i | ||||
\(624\) | 4.56247 | − | 25.2252i | 0.182645 | − | 1.00981i | ||||
\(625\) | 21.9685 | + | 38.0506i | 0.878740 | + | 1.52202i | ||||
\(626\) | −8.94366 | − | 40.5534i | −0.357460 | − | 1.62084i | ||||
\(627\) | 15.5096 | − | 4.15578i | 0.619393 | − | 0.165966i | ||||
\(628\) | −42.3443 | − | 15.5177i | −1.68972 | − | 0.619224i | ||||
\(629\) | 5.22456 | − | 5.22456i | 0.208317 | − | 0.208317i | ||||
\(630\) | −14.4241 | − | 4.28265i | −0.574668 | − | 0.170625i | ||||
\(631\) | 6.27661i | 0.249868i | 0.992165 | + | 0.124934i | \(0.0398719\pi\) | ||||
−0.992165 | + | 0.124934i | \(0.960128\pi\) | |||||||
\(632\) | 9.28828 | + | 3.88331i | 0.369468 | + | 0.154470i | ||||
\(633\) | −12.5734 | − | 7.25927i | −0.499749 | − | 0.288530i | ||||
\(634\) | 16.8951 | + | 10.7895i | 0.670990 | + | 0.428507i | ||||
\(635\) | −77.5134 | − | 20.7697i | −3.07603 | − | 0.824219i | ||||
\(636\) | 0.861907 | − | 9.60801i | 0.0341769 | − | 0.380982i | ||||
\(637\) | 13.1553 | + | 42.8880i | 0.521233 | + | 1.69928i | ||||
\(638\) | 16.1619 | + | 17.6766i | 0.639854 | + | 0.699823i | ||||
\(639\) | −1.98140 | − | 3.43189i | −0.0783831 | − | 0.135764i | ||||
\(640\) | 30.4774 | + | 33.7790i | 1.20472 | + | 1.33523i | ||||
\(641\) | −9.59100 | + | 16.6121i | −0.378822 | + | 0.656138i | −0.990891 | − | 0.134666i | \(-0.957004\pi\) |
0.612069 | + | 0.790804i | \(0.290337\pi\) | |||||||
\(642\) | 3.71884 | − | 11.7496i | 0.146771 | − | 0.463718i | ||||
\(643\) | 14.4014 | + | 14.4014i | 0.567936 | + | 0.567936i | 0.931550 | − | 0.363614i | \(-0.118457\pi\) |
−0.363614 | + | 0.931550i | \(0.618457\pi\) | |||||||
\(644\) | 5.08498 | − | 14.6847i | 0.200376 | − | 0.578660i | ||||
\(645\) | −10.6668 | + | 10.6668i | −0.420006 | + | 0.420006i | ||||
\(646\) | 13.2785 | − | 6.89378i | 0.522435 | − | 0.271232i | ||||
\(647\) | 35.0536 | + | 20.2382i | 1.37810 | + | 0.795645i | 0.991930 | − | 0.126784i | \(-0.0404654\pi\) |
0.386167 | + | 0.922429i | \(0.373799\pi\) | |||||||
\(648\) | 0.359923 | + | 2.80543i | 0.0141391 | + | 0.110208i | ||||
\(649\) | −40.4685 | + | 23.3645i | −1.58853 | + | 0.917136i | ||||
\(650\) | −101.143 | − | 4.52756i | −3.96717 | − | 0.177585i | ||||
\(651\) | 12.1990 | + | 6.75468i | 0.478116 | + | 0.264737i | ||||
\(652\) | −4.61042 | + | 3.85134i | −0.180558 | + | 0.150830i | ||||
\(653\) | 11.2852 | − | 42.1170i | 0.441625 | − | 1.64817i | −0.283073 | − | 0.959098i | \(-0.591354\pi\) |
0.724698 | − | 0.689067i | \(-0.241979\pi\) | |||||||
\(654\) | −1.22743 | − | 5.56557i | −0.0479964 | − | 0.217631i | ||||
\(655\) | 15.1956 | − | 26.3196i | 0.593742 | − | 1.02839i | ||||
\(656\) | −7.83661 | + | 2.81328i | −0.305968 | + | 0.109840i | ||||
\(657\) | −12.5683 | −0.490335 | ||||||||
\(658\) | 0.624239 | − | 23.2691i | 0.0243354 | − | 0.907123i | ||||
\(659\) | 29.8986 | + | 29.8986i | 1.16468 | + | 1.16468i | 0.983438 | + | 0.181246i | \(0.0580129\pi\) |
0.181246 | + | 0.983438i | \(0.441987\pi\) | |||||||
\(660\) | 10.6219 | − | 28.9847i | 0.413456 | − | 1.12823i | ||||
\(661\) | 11.4172 | + | 42.6096i | 0.444078 | + | 1.65732i | 0.718360 | + | 0.695671i | \(0.244893\pi\) |
−0.274282 | + | 0.961649i | \(0.588440\pi\) | |||||||
\(662\) | 10.4086 | − | 16.2987i | 0.404543 | − | 0.633466i | ||||
\(663\) | −14.0355 | + | 8.10338i | −0.545092 | + | 0.314709i | ||||
\(664\) | 4.38007 | + | 0.591367i | 0.169980 | + | 0.0229495i | ||||
\(665\) | 32.0309 | + | 30.9034i | 1.24210 | + | 1.19838i | ||||
\(666\) | 0.184773 | − | 4.12774i | 0.00715981 | − | 0.159947i | ||||
\(667\) | −12.5171 | − | 3.35395i | −0.484665 | − | 0.129865i | ||||
\(668\) | 1.81947 | − | 2.58634i | 0.0703975 | − | 0.100068i | ||||
\(669\) | 5.51612 | − | 1.47804i | 0.213266 | − | 0.0571444i | ||||
\(670\) | 2.20040 | − | 6.95209i | 0.0850089 | − | 0.268583i | ||||
\(671\) | 36.7888 | 1.42021 | ||||||||
\(672\) | 0.838342 | + | 14.9431i | 0.0323397 | + | 0.576444i | ||||
\(673\) | 2.70465 | 0.104257 | 0.0521284 | − | 0.998640i | \(-0.483400\pi\) | ||||
0.0521284 | + | 0.998640i | \(0.483400\pi\) | |||||||
\(674\) | −3.18509 | + | 10.0632i | −0.122685 | + | 0.387619i | ||||
\(675\) | 10.7904 | − | 2.89128i | 0.415323 | − | 0.111285i | ||||
\(676\) | 32.3021 | − | 45.9167i | 1.24239 | − | 1.76603i | ||||
\(677\) | 44.5491 | + | 11.9369i | 1.71216 | + | 0.458772i | 0.975953 | − | 0.217983i | \(-0.0699477\pi\) |
0.736208 | + | 0.676755i | \(0.236614\pi\) | |||||||
\(678\) | −0.359815 | + | 8.03808i | −0.0138186 | + | 0.308701i | ||||
\(679\) | −2.41133 | + | 9.69029i | −0.0925382 | + | 0.371879i | ||||
\(680\) | 3.84857 | − | 28.5052i | 0.147586 | − | 1.09312i | ||||
\(681\) | 10.3900 | − | 5.99866i | 0.398145 | − | 0.229869i | ||||
\(682\) | −15.3978 | + | 24.1111i | −0.589612 | + | 0.923262i | ||||
\(683\) | −4.68057 | − | 17.4681i | −0.179097 | − | 0.668399i | −0.995817 | − | 0.0913654i | \(-0.970877\pi\) |
0.816720 | − | 0.577034i | \(-0.195790\pi\) | |||||||
\(684\) | 2.87888 | − | 7.85580i | 0.110077 | − | 0.300374i | ||||
\(685\) | −1.56384 | − | 1.56384i | −0.0597511 | − | 0.0597511i | ||||
\(686\) | −13.2995 | − | 22.5637i | −0.507779 | − | 0.861487i | ||||
\(687\) | −2.79877 | −0.106780 | ||||||||
\(688\) | 13.5713 | + | 6.40127i | 0.517400 | + | 0.244046i | ||||
\(689\) | 15.4553 | − | 26.7694i | 0.588800 | − | 1.01983i | ||||
\(690\) | 3.59697 | + | 16.3098i | 0.136934 | + | 0.620905i | ||||
\(691\) | −0.979749 | + | 3.65647i | −0.0372714 | + | 0.139099i | −0.982054 | − | 0.188598i | \(-0.939606\pi\) |
0.944783 | + | 0.327697i | \(0.106272\pi\) | |||||||
\(692\) | 14.9186 | − | 12.4623i | 0.567121 | − | 0.473747i | ||||
\(693\) | 8.70217 | − | 5.23424i | 0.330568 | − | 0.198832i | ||||
\(694\) | 48.9766 | + | 2.19238i | 1.85913 | + | 0.0832215i | ||||
\(695\) | 5.35954 | − | 3.09433i | 0.203299 | − | 0.117375i | ||||
\(696\) | 12.3789 | − | 1.58815i | 0.469221 | − | 0.0601986i | ||||
\(697\) | 4.55884 | + | 2.63205i | 0.172678 | + | 0.0996959i | ||||
\(698\) | −16.4970 | + | 8.56474i | −0.624421 | + | 0.324180i | ||||
\(699\) | −13.2899 | + | 13.2899i | −0.502669 | + | 0.502669i | ||||
\(700\) | 58.0451 | − | 11.1780i | 2.19390 | − | 0.422488i | ||||
\(701\) | 2.35208 | + | 2.35208i | 0.0888369 | + | 0.0888369i | 0.750129 | − | 0.661292i | \(-0.229992\pi\) |
−0.661292 | + | 0.750129i | \(0.729992\pi\) | |||||||
\(702\) | −2.73485 | + | 8.64067i | −0.103220 | + | 0.326121i | ||||
\(703\) | −6.11119 | + | 10.5849i | −0.230488 | + | 0.399217i | ||||
\(704\) | −30.7053 | − | 0.202775i | −1.15725 | − | 0.00764235i | ||||
\(705\) | 12.5087 | + | 21.6656i | 0.471103 | + | 0.815975i | ||||
\(706\) | −4.79349 | − | 5.24275i | −0.180405 | − | 0.197314i | ||||
\(707\) | −30.2268 | + | 0.541521i | −1.13680 | + | 0.0203660i | ||||
\(708\) | −2.17556 | + | 24.2517i | −0.0817624 | + | 0.911436i | ||||
\(709\) | −37.5067 | − | 10.0499i | −1.40859 | − | 0.377432i | −0.527171 | − | 0.849759i | \(-0.676747\pi\) |
−0.881423 | + | 0.472327i | \(0.843414\pi\) | |||||||
\(710\) | 18.9938 | + | 12.1298i | 0.712823 | + | 0.455222i | ||||
\(711\) | −3.08249 | − | 1.77968i | −0.115603 | − | 0.0667432i | ||||
\(712\) | 2.62903 | − | 6.28824i | 0.0985272 | − | 0.235662i | ||||
\(713\) | − | 15.4783i | − | 0.579667i | ||||||
\(714\) | 6.86788 | − | 6.50902i | 0.257024 | − | 0.243594i | ||||
\(715\) | 69.9440 | − | 69.9440i | 2.61576 | − | 2.61576i | ||||
\(716\) | 6.13656 | + | 2.24884i | 0.229334 | + | 0.0840430i | ||||
\(717\) | −14.5751 | + | 3.90538i | −0.544316 | + | 0.145849i | ||||
\(718\) | −2.95227 | − | 13.3866i | −0.110178 | − | 0.499582i | ||||
\(719\) | 15.0657 | + | 26.0946i | 0.561857 | + | 0.973164i | 0.997335 | + | 0.0729649i | \(0.0232461\pi\) |
−0.435478 | + | 0.900199i | \(0.643421\pi\) | |||||||
\(720\) | −9.16805 | − | 13.2168i | −0.341673 | − | 0.492561i | ||||
\(721\) | −4.62605 | − | 16.1050i | −0.172283 | − | 0.599782i | ||||
\(722\) | 1.56520 | − | 1.43107i | 0.0582506 | − | 0.0532590i | ||||
\(723\) | −5.79794 | + | 21.6382i | −0.215628 | + | 0.804734i | ||||
\(724\) | −21.8352 | + | 3.80059i | −0.811499 | + | 0.141248i | ||||
\(725\) | −12.7577 | − | 47.6124i | −0.473809 | − | 1.76828i | ||||
\(726\) | 2.43197 | + | 4.68435i | 0.0902589 | + | 0.173853i | ||||
\(727\) | 12.8325i | 0.475931i | 0.971274 | + | 0.237965i | \(0.0764804\pi\) | ||||
−0.971274 | + | 0.237965i | \(0.923520\pi\) | |||||||
\(728\) | −17.7033 | + | 44.5705i | −0.656127 | + | 1.65189i | ||||
\(729\) | − | 1.00000i | − | 0.0370370i | ||||||
\(730\) | 63.4361 | − | 32.9341i | 2.34788 | − | 1.21894i | ||||
\(731\) | −2.45533 | − | 9.16342i | −0.0908137 | − | 0.338921i | ||||
\(732\) | 11.0298 | − | 15.6785i | 0.407671 | − | 0.579496i | ||||
\(733\) | −0.425989 | + | 1.58981i | −0.0157343 | + | 0.0587211i | −0.973347 | − | 0.229339i | \(-0.926344\pi\) |
0.957612 | + | 0.288060i | \(0.0930103\pi\) | |||||||
\(734\) | −29.1387 | − | 31.8697i | −1.07553 | − | 1.17633i | ||||
\(735\) | 24.8665 | + | 13.1924i | 0.917214 | + | 0.486609i | ||||
\(736\) | 14.0603 | − | 8.84902i | 0.518271 | − | 0.326179i | ||||
\(737\) | 2.46074 | + | 4.26213i | 0.0906425 | + | 0.156997i | ||||
\(738\) | 2.87470 | − | 0.633988i | 0.105819 | − | 0.0233374i | ||||
\(739\) | −18.7079 | + | 5.01277i | −0.688182 | + | 0.184398i | −0.585931 | − | 0.810361i | \(-0.699271\pi\) |
−0.102251 | + | 0.994759i | \(0.532604\pi\) | |||||||
\(740\) | 9.88379 | + | 21.3183i | 0.363335 | + | 0.783675i | ||||
\(741\) | 18.9571 | − | 18.9571i | 0.696407 | − | 0.696407i | ||||
\(742\) | −5.13674 | + | 17.3006i | −0.188576 | + | 0.635127i | ||||
\(743\) | − | 29.1865i | − | 1.07075i | −0.844615 | − | 0.535374i | \(-0.820171\pi\) | ||
0.844615 | − | 0.535374i | \(-0.179829\pi\) | |||||||
\(744\) | 5.65915 | + | 13.7910i | 0.207475 | + | 0.505604i | ||||
\(745\) | 24.4297 | + | 14.1045i | 0.895036 | + | 0.516749i | ||||
\(746\) | 26.4607 | − | 41.4343i | 0.968795 | − | 1.51702i | ||||
\(747\) | −1.50939 | − | 0.404441i | −0.0552258 | − | 0.0147977i | ||||
\(748\) | 12.4457 | + | 14.8987i | 0.455062 | + | 0.544752i | ||||
\(749\) | −11.1686 | + | 20.1705i | −0.408091 | + | 0.737015i | ||||
\(750\) | −25.9007 | + | 23.6812i | −0.945759 | + | 0.864715i | ||||
\(751\) | 3.22740 | + | 5.59002i | 0.117770 | + | 0.203983i | 0.918883 | − | 0.394529i | \(-0.129092\pi\) |
−0.801114 | + | 0.598512i | \(0.795759\pi\) | |||||||
\(752\) | 16.0793 | − | 18.9921i | 0.586352 | − | 0.692572i | ||||
\(753\) | 8.09748 | − | 14.0252i | 0.295089 | − | 0.511108i | ||||
\(754\) | 38.1267 | + | 12.0675i | 1.38849 | + | 0.439471i | ||||
\(755\) | 5.78141 | + | 5.78141i | 0.210407 | + | 0.210407i | ||||
\(756\) | 0.378307 | − | 5.27796i | 0.0137589 | − | 0.191958i | ||||
\(757\) | 23.4259 | − | 23.4259i | 0.851430 | − | 0.851430i | −0.138880 | − | 0.990309i | \(-0.544350\pi\) |
0.990309 | + | 0.138880i | \(0.0443501\pi\) | |||||||
\(758\) | −5.53943 | − | 10.6698i | −0.201201 | − | 0.387545i | ||||
\(759\) | −9.76207 | − | 5.63613i | −0.354341 | − | 0.204579i | ||||
\(760\) | 6.05483 | + | 47.1946i | 0.219632 | + | 1.71193i | ||||
\(761\) | −28.6262 | + | 16.5273i | −1.03770 | + | 0.599115i | −0.919180 | − | 0.393837i | \(-0.871148\pi\) |
−0.118518 | + | 0.992952i | \(0.537814\pi\) | |||||||
\(762\) | 1.26203 | − | 28.1932i | 0.0457186 | − | 1.02133i | ||||
\(763\) | 0.190989 | + | 10.6607i | 0.00691428 | + | 0.385944i | ||||
\(764\) | −2.01811 | + | 22.4966i | −0.0730126 | + | 0.813898i | ||||
\(765\) | −2.63207 | + | 9.82303i | −0.0951628 | + | 0.355152i | ||||
\(766\) | 13.7046 | − | 3.02241i | 0.495166 | − | 0.109204i | ||||
\(767\) | −39.0110 | + | 67.5690i | −1.40861 | + | 2.43978i | ||||
\(768\) | −9.29227 | + | 13.0251i | −0.335306 | + | 0.470004i | ||||
\(769\) | −21.4351 | −0.772971 | −0.386486 | − | 0.922295i | \(-0.626311\pi\) | ||||
−0.386486 | + | 0.922295i | \(0.626311\pi\) | |||||||
\(770\) | −30.2068 | + | 49.2222i | −1.08858 | + | 1.77385i | ||||
\(771\) | −7.77432 | − | 7.77432i | −0.279985 | − | 0.279985i | ||||
\(772\) | −25.8332 | + | 11.9771i | −0.929757 | + | 0.431064i | ||||
\(773\) | 6.66560 | + | 24.8764i | 0.239745 | + | 0.894740i | 0.975952 | + | 0.217984i | \(0.0699482\pi\) |
−0.736207 | + | 0.676756i | \(0.763385\pi\) | |||||||
\(774\) | −4.47116 | − | 2.85537i | −0.160713 | − | 0.102634i | ||||
\(775\) | 50.9882 | − | 29.4380i | 1.83155 | − | 1.05745i | ||||
\(776\) | −8.49067 | + | 6.47069i | −0.304797 | + | 0.232284i | ||||
\(777\) | −1.86661 | + | 7.50128i | −0.0669644 | + | 0.269107i | ||||
\(778\) | 15.6028 | + | 0.698441i | 0.559388 | + | 0.0250403i | ||||
\(779\) | −8.41121 | − | 2.25378i | −0.301363 | − | 0.0807499i | ||||
\(780\) | −8.83845 | − | 50.7787i | −0.316467 | − | 1.81817i | ||||
\(781\) | −14.6919 | + | 3.93670i | −0.525719 | + | 0.140866i | ||||
\(782\) | −10.0137 | − | 3.16943i | −0.358089 | − | 0.113338i | ||||
\(783\) | −4.41247 | −0.157689 | ||||||||
\(784\) | 3.99338 | − | 27.7138i | 0.142621 | − | 0.989777i | ||||
\(785\) | −90.6771 | −3.23640 | ||||||||
\(786\) | 10.1897 | + | 3.22514i | 0.363456 | + | 0.115037i | ||||
\(787\) | 46.7511 | − | 12.5269i | 1.66650 | − | 0.446537i | 0.702335 | − | 0.711846i | \(-0.252141\pi\) |
0.964163 | + | 0.265310i | \(0.0854742\pi\) | |||||||
\(788\) | −32.1288 | + | 5.59227i | −1.14454 | + | 0.199216i | ||||
\(789\) | −22.3771 | − | 5.99594i | −0.796647 | − | 0.213461i | ||||
\(790\) | 20.2219 | + | 0.905206i | 0.719461 | + | 0.0322058i | ||||
\(791\) | 3.63491 | − | 14.6075i | 0.129243 | − | 0.519382i | ||||
\(792\) | 10.7586 | + | 1.45255i | 0.382290 | + | 0.0516141i | ||||
\(793\) | 53.1957 | − | 30.7126i | 1.88904 | − | 1.09064i | ||||
\(794\) | −44.2382 | − | 28.2513i | −1.56995 | − | 1.00260i | ||||
\(795\) | −5.02006 | − | 18.7351i | −0.178043 | − | 0.664466i | ||||
\(796\) | −4.80768 | − | 10.3696i | −0.170404 | − | 0.367542i | ||||
\(797\) | −4.34951 | − | 4.34951i | −0.154068 | − | 0.154068i | 0.625864 | − | 0.779932i | \(-0.284746\pi\) |
−0.779932 | + | 0.625864i | \(0.784746\pi\) | |||||||
\(798\) | −8.18703 | + | 13.3408i | −0.289818 | + | 0.472260i | ||||
\(799\) | −15.7327 | −0.556584 | ||||||||
\(800\) | 55.8914 | + | 29.4873i | 1.97606 | + | 1.04253i | ||||
\(801\) | −1.20486 | + | 2.08687i | −0.0425715 | + | 0.0737360i | ||||
\(802\) | −38.3164 | + | 8.45031i | −1.35300 | + | 0.298391i | ||||
\(803\) | −12.4855 | + | 46.5963i | −0.440602 | + | 1.64435i | ||||
\(804\) | 2.55419 | + | 0.229129i | 0.0900792 | + | 0.00808075i | ||||
\(805\) | −0.559692 | − | 31.2411i | −0.0197266 | − | 1.10110i | ||||
\(806\) | −2.13607 | + | 47.7188i | −0.0752399 | + | 1.68082i | ||||
\(807\) | −21.7377 | + | 12.5503i | −0.765203 | + | 0.441790i | ||||
\(808\) | −25.5753 | − | 19.7591i | −0.899736 | − | 0.695123i | ||||
\(809\) | 6.02555 | + | 3.47885i | 0.211847 | + | 0.122310i | 0.602170 | − | 0.798368i | \(-0.294303\pi\) |
−0.390322 | + | 0.920678i | \(0.627636\pi\) | |||||||
\(810\) | 2.62042 | + | 5.04733i | 0.0920720 | + | 0.177345i | ||||
\(811\) | −16.3080 | + | 16.3080i | −0.572653 | + | 0.572653i | −0.932869 | − | 0.360216i | \(-0.882703\pi\) |
0.360216 | + | 0.932869i | \(0.382703\pi\) | |||||||
\(812\) | −23.2889 | − | 1.66927i | −0.817279 | − | 0.0585799i | ||||
\(813\) | −7.18643 | − | 7.18643i | −0.252039 | − | 0.252039i | ||||
\(814\) | −15.1199 | − | 4.78559i | −0.529952 | − | 0.167735i | ||||
\(815\) | −6.03941 | + | 10.4606i | −0.211551 | + | 0.366418i | ||||
\(816\) | 10.0809 | − | 0.837261i | 0.352902 | − | 0.0293100i | ||||
\(817\) | 7.84648 | + | 13.5905i | 0.274514 | + | 0.475471i | ||||
\(818\) | 0.226780 | − | 0.207346i | 0.00792916 | − | 0.00724970i | ||||
\(819\) | 8.21341 | − | 14.8335i | 0.287000 | − | 0.518323i | ||||
\(820\) | −12.8483 | + | 10.7329i | −0.448681 | + | 0.374808i | ||||
\(821\) | −34.1696 | − | 9.15571i | −1.19253 | − | 0.319537i | −0.392643 | − | 0.919691i | \(-0.628439\pi\) |
−0.799884 | + | 0.600154i | \(0.795106\pi\) | |||||||
\(822\) | 0.418618 | − | 0.655505i | 0.0146010 | − | 0.0228634i | ||||
\(823\) | −37.7926 | − | 21.8196i | −1.31737 | − | 0.760582i | −0.334062 | − | 0.942551i | \(-0.608420\pi\) |
−0.983304 | + | 0.181969i | \(0.941753\pi\) | |||||||
\(824\) | 6.90968 | − | 16.5269i | 0.240710 | − | 0.575741i | ||||
\(825\) | − | 42.8772i | − | 1.49279i | ||||||
\(826\) | 12.9657 | − | 43.6689i | 0.451136 | − | 1.51943i | ||||
\(827\) | −2.43200 | + | 2.43200i | −0.0845689 | + | 0.0845689i | −0.748126 | − | 0.663557i | \(-0.769046\pi\) |
0.663557 | + | 0.748126i | \(0.269046\pi\) | |||||||
\(828\) | −5.32879 | + | 2.47059i | −0.185188 | + | 0.0858589i | ||||
\(829\) | −16.2793 | + | 4.36202i | −0.565402 | + | 0.151499i | −0.530187 | − | 0.847881i | \(-0.677878\pi\) |
−0.0352152 | + | 0.999380i | \(0.511212\pi\) | |||||||
\(830\) | 8.67821 | − | 1.91389i | 0.301225 | − | 0.0664322i | ||||
\(831\) | −11.6321 | − | 20.1474i | −0.403513 | − | 0.698905i | ||||
\(832\) | −44.5685 | + | 25.3407i | −1.54513 | + | 0.878530i | ||||
\(833\) | −15.0038 | + | 9.39462i | −0.519851 | + | 0.325504i | ||||
\(834\) | 1.46860 | + | 1.60624i | 0.0508535 | + | 0.0556197i | ||||
\(835\) | 1.64561 | − | 6.14150i | 0.0569487 | − | 0.212535i | ||||
\(836\) | −26.2652 | − | 18.4774i | −0.908399 | − | 0.639053i | ||||
\(837\) | −1.36408 | − | 5.09083i | −0.0471497 | − | 0.175965i | ||||
\(838\) | 27.0381 | − | 14.0373i | 0.934016 | − | 0.484912i | ||||
\(839\) | 30.8652i | 1.06558i | 0.846246 | + | 0.532792i | \(0.178857\pi\) | ||||
−0.846246 | + | 0.532792i | \(0.821143\pi\) | |||||||
\(840\) | 11.9210 | + | 27.6309i | 0.411314 | + | 0.953357i | ||||
\(841\) | − | 9.53008i | − | 0.328623i | ||||||
\(842\) | 0.643920 | + | 1.24029i | 0.0221910 | + | 0.0427432i | ||||
\(843\) | −4.57665 | − | 17.0803i | −0.157628 | − | 0.588276i | ||||
\(844\) | 4.97928 | + | 28.6070i | 0.171394 | + | 0.984693i | ||||
\(845\) | 29.2154 | − | 109.033i | 1.00504 | − | 3.75086i | ||||
\(846\) | −6.49314 | + | 5.93673i | −0.223239 | + | 0.204109i | ||||
\(847\) | −2.72609 | − | 9.49053i | −0.0936696 | − | 0.326098i | ||||
\(848\) | −15.8526 | + | 10.9964i | −0.544381 | + | 0.377619i | ||||
\(849\) | −15.3755 | − | 26.6312i | −0.527686 | − | 0.913979i | ||||
\(850\) | −8.60431 | − | 39.0147i | −0.295126 | − | 1.33819i | ||||
\(851\) | 8.28809 | − | 2.22079i | 0.284112 | − | 0.0761276i | ||||
\(852\) | −2.72711 | + | 7.44165i | −0.0934291 | + | 0.254947i | ||||
\(853\) | 28.8385 | − | 28.8385i | 0.987412 | − | 0.987412i | −0.0125101 | − | 0.999922i | \(-0.503982\pi\) |
0.999922 | + | 0.0125101i | \(0.00398219\pi\) | |||||||
\(854\) | −26.0299 | + | 24.6698i | −0.890725 | + | 0.844182i | ||||
\(855\) | − | 16.8226i | − | 0.575320i | ||||||
\(856\) | −22.8029 | + | 9.35717i | −0.779386 | + | 0.319822i | ||||
\(857\) | 47.4775 | + | 27.4111i | 1.62180 | + | 0.936346i | 0.986439 | + | 0.164130i | \(0.0524818\pi\) |
0.635360 | + | 0.772216i | \(0.280852\pi\) | |||||||
\(858\) | 29.3181 | + | 18.7231i | 1.00090 | + | 0.639196i | ||||
\(859\) | −28.0614 | − | 7.51903i | −0.957443 | − | 0.256546i | −0.253925 | − | 0.967224i | \(-0.581722\pi\) |
−0.703518 | + | 0.710678i | \(0.748388\pi\) | |||||||
\(860\) | 30.0497 | + | 2.69567i | 1.02469 | + | 0.0919217i | ||||
\(861\) | −5.50643 | + | 0.0986491i | −0.187659 | + | 0.00336195i | ||||
\(862\) | −2.89814 | − | 3.16976i | −0.0987110 | − | 0.107962i | ||||
\(863\) | 4.75785 | + | 8.24083i | 0.161959 | + | 0.280521i | 0.935571 | − | 0.353138i | \(-0.114885\pi\) |
−0.773612 | + | 0.633659i | \(0.781552\pi\) | |||||||
\(864\) | 3.84461 | − | 4.14958i | 0.130796 | − | 0.141171i | ||||
\(865\) | 19.5426 | − | 33.8488i | 0.664470 | − | 1.15090i | ||||
\(866\) | −8.86222 | + | 27.9999i | −0.301150 | + | 0.951474i | ||||
\(867\) | 7.49861 | + | 7.49861i | 0.254666 | + | 0.254666i | ||||
\(868\) | −5.27369 | − | 27.3853i | −0.179001 | − | 0.929517i | ||||
\(869\) | −9.66028 | + | 9.66028i | −0.327702 | + | 0.327702i | ||||
\(870\) | 22.2712 | − | 11.5625i | 0.755064 | − | 0.392006i | ||||
\(871\) | 7.11635 | + | 4.10863i | 0.241128 | + | 0.139216i | ||||
\(872\) | −6.96886 | + | 9.02017i | −0.235995 | + | 0.305462i | ||||
\(873\) | 3.26862 | − | 1.88714i | 0.110626 | − | 0.0638700i | ||||
\(874\) | 17.3573 | + | 0.776977i | 0.587119 | + | 0.0262817i | ||||
\(875\) | 56.2629 | − | 33.8414i | 1.90203 | − | 1.14405i | ||||
\(876\) | 16.1150 | + | 19.2912i | 0.544476 | + | 0.651790i | ||||
\(877\) | −9.58952 | + | 35.7886i | −0.323815 | + | 1.20849i | 0.591683 | + | 0.806171i | \(0.298464\pi\) |
−0.915498 | + | 0.402323i | \(0.868203\pi\) | |||||||
\(878\) | −11.1990 | − | 50.7798i | −0.377947 | − | 1.71373i | ||||
\(879\) | −3.45022 | + | 5.97596i | −0.116373 | + | 0.201564i | ||||
\(880\) | −58.1084 | + | 20.8605i | −1.95883 | + | 0.703206i | ||||
\(881\) | 30.0725 | 1.01317 | 0.506583 | − | 0.862191i | \(-0.330908\pi\) | ||||
0.506583 | + | 0.862191i | \(0.330908\pi\) | |||||||
\(882\) | −2.64725 | + | 9.53898i | −0.0891375 | + | 0.321194i | ||||
\(883\) | −13.8875 | − | 13.8875i | −0.467352 | − | 0.467352i | 0.433704 | − | 0.901056i | \(-0.357206\pi\) |
−0.901056 | + | 0.433704i | \(0.857206\pi\) | |||||||
\(884\) | 30.4343 | + | 11.1531i | 1.02362 | + | 0.375119i | ||||
\(885\) | 12.6712 | + | 47.2897i | 0.425939 | + | 1.58962i | ||||
\(886\) | 17.9634 | − | 28.1285i | 0.603491 | − | 0.944994i | ||||
\(887\) | 26.4423 | − | 15.2665i | 0.887847 | − | 0.512599i | 0.0146094 | − | 0.999893i | \(-0.495350\pi\) |
0.873238 | + | 0.487294i | \(0.162016\pi\) | |||||||
\(888\) | −6.57265 | + | 5.00898i | −0.220564 | + | 0.168090i | ||||
\(889\) | −12.7493 | + | 51.2350i | −0.427598 | + | 1.71837i | ||||
\(890\) | 0.612831 | − | 13.6904i | 0.0205422 | − | 0.458902i | ||||
\(891\) | −3.70746 | − | 0.993411i | −0.124205 | − | 0.0332805i | ||||
\(892\) | −9.34144 | − | 6.57164i | −0.312775 | − | 0.220035i | ||||
\(893\) | 25.1385 | − | 6.73583i | 0.841227 | − | 0.225406i | ||||
\(894\) | −2.99357 | + | 9.45806i | −0.100120 | + | 0.316325i | ||||
\(895\) | 13.1410 | 0.439254 | ||||||||
\(896\) | 21.8615 | − | 20.4469i | 0.730342 | − | 0.683082i | ||||
\(897\) | −18.8210 | −0.628414 | ||||||||
\(898\) | −9.04779 | + | 28.5862i | −0.301929 | + | 0.953933i | ||||
\(899\) | −22.4632 | + | 6.01899i | −0.749189 | + | 0.200744i | ||||
\(900\) | −18.2733 | − | 12.8552i | −0.609110 | − | 0.428505i | ||||
\(901\) | 11.7820 | + | 3.15699i | 0.392516 | + | 0.105174i | ||||
\(902\) | 0.505278 | − | 11.2877i | 0.0168239 | − | 0.375838i | ||||
\(903\) | 7.14262 | + | 6.89120i | 0.237691 | + | 0.229325i | ||||
\(904\) | 12.7991 | − | 9.75414i | 0.425693 | − | 0.324418i | ||||
\(905\) | −38.5929 | + | 22.2816i | −1.28287 | + | 0.740667i | ||||
\(906\) | −1.54761 | + | 2.42337i | −0.0514158 | + | 0.0805109i | ||||
\(907\) | −13.6828 | − | 51.0650i | −0.454331 | − | 1.69559i | −0.690047 | − | 0.723765i | \(-0.742410\pi\) |
0.235716 | − | 0.971822i | \(-0.424257\pi\) | |||||||
\(908\) | −22.5295 | − | 8.25626i | −0.747666 | − | 0.273994i | ||||
\(909\) | 8.07975 | + | 8.07975i | 0.267988 | + | 0.267988i | ||||
\(910\) | −2.58590 | + | 96.3919i | −0.0857218 | + | 3.19536i | ||||
\(911\) | −32.7905 | −1.08640 | −0.543199 | − | 0.839604i | \(-0.682787\pi\) | ||||
−0.543199 | + | 0.839604i | \(0.682787\pi\) | |||||||
\(912\) | −15.7493 | + | 5.65387i | −0.521511 | + | 0.187218i | ||||
\(913\) | −2.99890 | + | 5.19424i | −0.0992490 | + | 0.171904i | ||||
\(914\) | 6.99497 | + | 31.7174i | 0.231373 | + | 1.04912i | ||||
\(915\) | 9.97580 | − | 37.2302i | 0.329790 | − | 1.23079i | ||||
\(916\) | 3.58858 | + | 4.29587i | 0.118570 | + | 0.141940i | ||||
\(917\) | −17.4927 | − | 9.68587i | −0.577661 | − | 0.319856i | ||||
\(918\) | −3.57283 | − | 0.159933i | −0.117921 | − | 0.00527859i | ||||
\(919\) | −22.8540 | + | 13.1948i | −0.753883 | + | 0.435255i | −0.827095 | − | 0.562062i | \(-0.810008\pi\) |
0.0732120 | + | 0.997316i | \(0.476675\pi\) | |||||||
\(920\) | 20.4222 | − | 26.4335i | 0.673299 | − | 0.871487i | ||||
\(921\) | −6.74635 | − | 3.89501i | −0.222300 | − | 0.128345i | ||||
\(922\) | 7.41244 | − | 3.84831i | 0.244116 | − | 0.126737i | ||||
\(923\) | −17.9577 | + | 17.9577i | −0.591086 | + | 0.591086i | ||||
\(924\) | −19.1920 | − | 6.64575i | −0.631371 | − | 0.218629i | ||||
\(925\) | 23.0787 | + | 23.0787i | 0.758823 | + | 0.758823i | ||||
\(926\) | −0.571016 | + | 1.80411i | −0.0187648 | + | 0.0592866i | ||||
\(927\) | −3.16663 | + | 5.48477i | −0.104006 | + | 0.180143i | ||||
\(928\) | −18.3099 | − | 16.9642i | −0.601052 | − | 0.556878i | ||||
\(929\) | 5.10708 | + | 8.84572i | 0.167558 | + | 0.290219i | 0.937561 | − | 0.347822i | \(-0.113079\pi\) |
−0.770003 | + | 0.638040i | \(0.779745\pi\) | |||||||
\(930\) | 20.2251 | + | 22.1206i | 0.663206 | + | 0.725364i | ||||
\(931\) | 19.9515 | − | 21.4349i | 0.653885 | − | 0.702500i | ||||
\(932\) | 37.4391 | + | 3.35855i | 1.22636 | + | 0.110013i | ||||
\(933\) | 29.5177 | + | 7.90926i | 0.966368 | + | 0.258937i | ||||
\(934\) | 0.235597 | + | 0.150457i | 0.00770898 | + | 0.00492310i | ||||
\(935\) | 33.8038 | + | 19.5166i | 1.10550 | + | 0.638261i | ||||
\(936\) | 16.7693 | − | 6.88130i | 0.548122 | − | 0.224922i | ||||
\(937\) | 35.6178i | 1.16358i | 0.813338 | + | 0.581791i | \(0.197648\pi\) | ||||
−0.813338 | + | 0.581791i | \(0.802352\pi\) | |||||||
\(938\) | −4.59919 | − | 1.36555i | −0.150169 | − | 0.0445867i | ||||
\(939\) | 20.7640 | − | 20.7640i | 0.677606 | − | 0.677606i | ||||
\(940\) | 17.2163 | − | 46.9794i | 0.561534 | − | 1.53230i | ||||
\(941\) | −32.1629 | + | 8.61802i | −1.04848 | + | 0.280939i | −0.741624 | − | 0.670816i | \(-0.765944\pi\) |
−0.306857 | + | 0.951756i | \(0.599277\pi\) | |||||||
\(942\) | −6.86781 | − | 31.1409i | −0.223765 | − | 1.01462i | ||||
\(943\) | 3.05660 | + | 5.29419i | 0.0995367 | + | 0.172403i | ||||
\(944\) | 40.0139 | − | 27.7563i | 1.30234 | − | 0.903390i | ||||
\(945\) | −2.93733 | − | 10.2259i | −0.0955513 | − | 0.332649i | ||||
\(946\) | −15.0279 | + | 13.7401i | −0.488598 | + | 0.446730i | ||||
\(947\) | 10.4381 | − | 38.9555i | 0.339192 | − | 1.26588i | −0.560060 | − | 0.828452i | \(-0.689222\pi\) |
0.899252 | − | 0.437430i | \(-0.144111\pi\) | |||||||
\(948\) | 1.22072 | + | 7.01327i | 0.0396470 | + | 0.227780i | ||||
\(949\) | 20.8466 | + | 77.8006i | 0.676709 | + | 2.52551i | ||||
\(950\) | 30.4522 | + | 58.6556i | 0.987999 | + | 1.90304i | ||||
\(951\) | 14.1749i | 0.459654i | ||||||||
\(952\) | −18.7968 | − | 2.19575i | −0.609207 | − | 0.0711647i | ||||
\(953\) | − | 27.8613i | − | 0.902516i | −0.892394 | − | 0.451258i | \(-0.850975\pi\) | ||
0.892394 | − | 0.451258i | \(-0.149025\pi\) | |||||||
\(954\) | 6.05391 | − | 3.14300i | 0.196003 | − | 0.101759i | ||||
\(955\) | 11.7542 | + | 43.8672i | 0.380357 | + | 1.41951i | ||||
\(956\) | 24.6826 | + | 17.3640i | 0.798291 | + | 0.561592i | ||||
\(957\) | −4.38340 | + | 16.3591i | −0.141695 | + | 0.528814i | ||||
\(958\) | −14.8547 | − | 16.2469i | −0.479933 | − | 0.524914i | ||||
\(959\) | −1.01030 | + | 1.04716i | −0.0326243 | + | 0.0338146i | ||||
\(960\) | −8.53139 | + | 31.0187i | −0.275349 | + | 1.00113i | ||||
\(961\) | 1.61135 | + | 2.79093i | 0.0519789 | + | 0.0900301i | ||||
\(962\) | −25.8582 | + | 5.70277i | −0.833702 | + | 0.183865i | ||||
\(963\) | 8.41748 | − | 2.25546i | 0.271249 | − | 0.0726811i | ||||
\(964\) | 40.6470 | − | 18.8452i | 1.30915 | − | 0.606962i | ||||
\(965\) | −40.4838 | + | 40.4838i | −1.30322 | + | 1.30322i | ||||
\(966\) | 10.6866 | − | 2.55839i | 0.343836 | − | 0.0823149i | ||||
\(967\) | 10.9745i | 0.352917i | 0.984308 | + | 0.176459i | \(0.0564642\pi\) | ||||
−0.984308 | + | 0.176459i | \(0.943536\pi\) | |||||||
\(968\) | 4.07181 | − | 9.73914i | 0.130873 | − | 0.313028i | ||||
\(969\) | 9.16192 | + | 5.28964i | 0.294323 | + | 0.169928i | ||||
\(970\) | −11.5527 | + | 18.0902i | −0.370935 | + | 0.580840i | ||||
\(971\) | −6.09982 | − | 1.63444i | −0.195752 | − | 0.0524517i | 0.159611 | − | 0.987180i | \(-0.448976\pi\) |
−0.355363 | + | 0.934728i | \(0.615643\pi\) | |||||||
\(972\) | −1.53492 | + | 1.28220i | −0.0492324 | + | 0.0411266i | ||||
\(973\) | −2.09869 | − | 3.48917i | −0.0672810 | − | 0.111858i | ||||
\(974\) | −0.00954573 | + | 0.00872774i | −0.000305865 | + | 0.000279655i | ||||
\(975\) | −35.7954 | − | 61.9995i | −1.14637 | − | 1.98557i | ||||
\(976\) | −38.2076 | + | 3.17330i | −1.22299 | + | 0.101575i | ||||
\(977\) | 19.5861 | − | 33.9242i | 0.626616 | − | 1.08533i | −0.361610 | − | 0.932329i | \(-0.617773\pi\) |
0.988226 | − | 0.153001i | \(-0.0488937\pi\) | |||||||
\(978\) | −4.04985 | − | 1.28182i | −0.129500 | − | 0.0409879i | ||||
\(979\) | 6.54008 | + | 6.54008i | 0.209022 | + | 0.209022i | ||||
\(980\) | −11.6346 | − | 55.0832i | −0.371652 | − | 1.75957i | ||||
\(981\) | 2.84965 | − | 2.84965i | 0.0909825 | − | 0.0909825i | ||||
\(982\) | 7.95992 | + | 15.3320i | 0.254011 | + | 0.489265i | ||||
\(983\) | 9.11870 | + | 5.26468i | 0.290841 | + | 0.167917i | 0.638321 | − | 0.769770i | \(-0.279629\pi\) |
−0.347480 | + | 0.937687i | \(0.612963\pi\) | |||||||
\(984\) | −4.65906 | − | 3.59953i | −0.148526 | − | 0.114749i | ||||
\(985\) | −56.7865 | + | 32.7857i | −1.80937 | + | 1.04464i | ||||
\(986\) | −0.705702 | + | 15.7650i | −0.0224741 | + | 0.502061i | ||||
\(987\) | 14.1048 | − | 8.48383i | 0.448960 | − | 0.270043i | ||||
\(988\) | −53.4044 | − | 4.79076i | −1.69902 | − | 0.152414i | ||||
\(989\) | 2.85138 | − | 10.6415i | 0.0906688 | − | 0.338380i | ||||
\(990\) | 21.3159 | − | 4.70102i | 0.677464 | − | 0.149408i | ||||
\(991\) | 25.5186 | − | 44.1996i | 0.810626 | − | 1.40405i | −0.101800 | − | 0.994805i | \(-0.532460\pi\) |
0.912426 | − | 0.409241i | \(-0.134207\pi\) | |||||||
\(992\) | 13.9119 | − | 26.3692i | 0.441703 | − | 0.837222i | ||||
\(993\) | 13.6746 | 0.433949 | ||||||||
\(994\) | 7.75543 | − | 12.6375i | 0.245987 | − | 0.400838i | ||||
\(995\) | −16.2505 | − | 16.2505i | −0.515177 | − | 0.515177i | ||||
\(996\) | 1.31456 | + | 2.83537i | 0.0416535 | + | 0.0898420i | ||||
\(997\) | −13.4313 | − | 50.1265i | −0.425375 | − | 1.58752i | −0.763103 | − | 0.646277i | \(-0.776325\pi\) |
0.337728 | − | 0.941244i | \(-0.390342\pi\) | |||||||
\(998\) | 8.17825 | + | 5.22278i | 0.258878 | + | 0.165324i | ||||
\(999\) | 2.53025 | − | 1.46084i | 0.0800535 | − | 0.0462189i |
(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 | 336.2.bq.b.109.19 | yes | 120 | |
7.2 | even | 3 | inner | 336.2.bq.b.205.3 | yes | 120 | |
16.5 | even | 4 | inner | 336.2.bq.b.277.3 | yes | 120 | |
112.37 | even | 12 | inner | 336.2.bq.b.37.19 | ✓ | 120 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
336.2.bq.b.37.19 | ✓ | 120 | 112.37 | even | 12 | inner | |
336.2.bq.b.109.19 | yes | 120 | 1.1 | even | 1 | trivial | |
336.2.bq.b.205.3 | yes | 120 | 7.2 | even | 3 | inner | |
336.2.bq.b.277.3 | yes | 120 | 16.5 | even | 4 | inner |