Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [354,3,Mod(5,354)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(354, base_ring=CyclotomicField(58))
chi = DirichletCharacter(H, H._module([29, 6]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("354.5");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 354 = 2 \cdot 3 \cdot 59 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 354.h (of order \(58\), degree \(28\), 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: | \(9.64580135835\) |
Analytic rank: | \(0\) |
Dimension: | \(1120\) |
Relative dimension: | \(40\) over \(\Q(\zeta_{58})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{58}]$ |
Embedding invariants
Embedding label | 5.5 | ||
Character | \(\chi\) | \(=\) | 354.5 |
Dual form | 354.3.h.a.71.5 |
$q$-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 \(\left(\mathbb{Z}/354\mathbb{Z}\right)^\times\).
\(n\) | \(61\) | \(119\) |
\(\chi(n)\) | \(e\left(\frac{3}{29}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.451561 | + | 1.34018i | −0.225780 | + | 0.670092i | ||||
\(3\) | −1.87528 | + | 2.34165i | −0.625093 | + | 0.780550i | ||||
\(4\) | −1.59219 | − | 1.21035i | −0.398047 | − | 0.302587i | ||||
\(5\) | −7.13337 | − | 2.84219i | −1.42667 | − | 0.568439i | −0.476225 | − | 0.879323i | \(-0.657995\pi\) |
−0.950448 | + | 0.310885i | \(0.899375\pi\) | |||||||
\(6\) | −2.29144 | − | 3.57062i | −0.381907 | − | 0.595103i | ||||
\(7\) | 1.14957 | − | 0.531850i | 0.164225 | − | 0.0759785i | −0.336055 | − | 0.941843i | \(-0.609093\pi\) |
0.500279 | + | 0.865864i | \(0.333231\pi\) | |||||||
\(8\) | 2.34106 | − | 1.58728i | 0.292632 | − | 0.198410i | ||||
\(9\) | −1.96666 | − | 8.78250i | −0.218518 | − | 0.975833i | ||||
\(10\) | 7.03021 | − | 8.27660i | 0.703021 | − | 0.827660i | ||||
\(11\) | 3.29655 | + | 0.915283i | 0.299686 | + | 0.0832075i | 0.414117 | − | 0.910224i | \(-0.364090\pi\) |
−0.114430 | + | 0.993431i | \(0.536504\pi\) | |||||||
\(12\) | 5.82001 | − | 1.45860i | 0.485001 | − | 0.121550i | ||||
\(13\) | 3.53526 | − | 6.66820i | 0.271943 | − | 0.512938i | −0.709497 | − | 0.704708i | \(-0.751078\pi\) |
0.981440 | + | 0.191770i | \(0.0614227\pi\) | |||||||
\(14\) | 0.193674 | + | 1.78080i | 0.0138339 | + | 0.127200i | ||||
\(15\) | 20.0325 | − | 11.3739i | 1.33550 | − | 0.758263i | ||||
\(16\) | 1.07011 | + | 3.85420i | 0.0668821 | + | 0.240887i | ||||
\(17\) | −9.75211 | + | 21.0788i | −0.573653 | + | 1.23993i | 0.375997 | + | 0.926621i | \(0.377300\pi\) |
−0.949651 | + | 0.313311i | \(0.898562\pi\) | |||||||
\(18\) | 12.6582 | + | 1.33014i | 0.703235 | + | 0.0738968i | ||||
\(19\) | 9.04073 | − | 1.99001i | 0.475828 | − | 0.104738i | 0.0294197 | − | 0.999567i | \(-0.490634\pi\) |
0.446408 | + | 0.894830i | \(0.352703\pi\) | |||||||
\(20\) | 7.91760 | + | 13.1592i | 0.395880 | + | 0.657958i | ||||
\(21\) | −0.910366 | + | 3.68927i | −0.0433507 | + | 0.175679i | ||||
\(22\) | −2.71524 | + | 4.00468i | −0.123420 | + | 0.182031i | ||||
\(23\) | 1.75880 | + | 0.288341i | 0.0764696 | + | 0.0125366i | 0.199895 | − | 0.979817i | \(-0.435940\pi\) |
−0.123426 | + | 0.992354i | \(0.539388\pi\) | |||||||
\(24\) | −0.673288 | + | 8.45853i | −0.0280537 | + | 0.352439i | ||||
\(25\) | 24.6570 | + | 23.3563i | 0.986278 | + | 0.934252i | ||||
\(26\) | 7.34023 | + | 7.74899i | 0.282317 | + | 0.298038i | ||||
\(27\) | 24.2536 | + | 11.8644i | 0.898281 | + | 0.439422i | ||||
\(28\) | −2.47406 | − | 0.544582i | −0.0883593 | − | 0.0194493i | ||||
\(29\) | −1.28084 | − | 3.80139i | −0.0441668 | − | 0.131082i | 0.923301 | − | 0.384078i | \(-0.125481\pi\) |
−0.967467 | + | 0.252996i | \(0.918584\pi\) | |||||||
\(30\) | 6.19731 | + | 31.9832i | 0.206577 | + | 1.06611i | ||||
\(31\) | 8.69040 | + | 1.91290i | 0.280336 | + | 0.0617065i | 0.352913 | − | 0.935656i | \(-0.385191\pi\) |
−0.0725770 | + | 0.997363i | \(0.523122\pi\) | |||||||
\(32\) | −5.64856 | − | 0.306256i | −0.176517 | − | 0.00957050i | ||||
\(33\) | −8.32522 | + | 6.00296i | −0.252280 | + | 0.181908i | ||||
\(34\) | −23.8459 | − | 22.5880i | −0.701349 | − | 0.664353i | ||||
\(35\) | −9.71195 | + | 0.526567i | −0.277484 | + | 0.0150448i | ||||
\(36\) | −7.49859 | + | 16.3637i | −0.208294 | + | 0.454548i | ||||
\(37\) | 10.1856 | − | 15.0227i | 0.275287 | − | 0.406018i | −0.664763 | − | 0.747054i | \(-0.731467\pi\) |
0.940050 | + | 0.341036i | \(0.110778\pi\) | |||||||
\(38\) | −1.41545 | + | 13.0148i | −0.0372487 | + | 0.342496i | ||||
\(39\) | 8.98501 | + | 20.7831i | 0.230385 | + | 0.532899i | ||||
\(40\) | −21.2110 | + | 4.66889i | −0.530274 | + | 0.116722i | ||||
\(41\) | 21.7305 | − | 3.56253i | 0.530012 | − | 0.0868911i | 0.109167 | − | 0.994023i | \(-0.465182\pi\) |
0.420845 | + | 0.907132i | \(0.361733\pi\) | |||||||
\(42\) | −4.53321 | − | 2.88599i | −0.107934 | − | 0.0687139i | ||||
\(43\) | 3.51177 | + | 12.6482i | 0.0816690 | + | 0.294145i | 0.993094 | − | 0.117321i | \(-0.0374306\pi\) |
−0.911425 | + | 0.411466i | \(0.865017\pi\) | |||||||
\(44\) | −4.14091 | − | 5.44728i | −0.0941116 | − | 0.123802i | ||||
\(45\) | −10.9326 | + | 68.2384i | −0.242948 | + | 1.51641i | ||||
\(46\) | −1.18063 | + | 2.22691i | −0.0256660 | + | 0.0484112i | ||||
\(47\) | 78.8513 | − | 31.4172i | 1.67769 | − | 0.668452i | 0.679799 | − | 0.733398i | \(-0.262067\pi\) |
0.997889 | + | 0.0649466i | \(0.0206877\pi\) | |||||||
\(48\) | −11.0320 | − | 4.72187i | −0.229832 | − | 0.0983722i | ||||
\(49\) | −30.6833 | + | 36.1231i | −0.626189 | + | 0.737207i | ||||
\(50\) | −42.4359 | + | 22.4981i | −0.848717 | + | 0.449961i | ||||
\(51\) | −31.0714 | − | 62.3647i | −0.609242 | − | 1.22284i | ||||
\(52\) | −13.6996 | + | 6.33812i | −0.263454 | + | 0.121887i | ||||
\(53\) | −3.42585 | + | 2.90994i | −0.0646386 | + | 0.0549046i | −0.679123 | − | 0.734024i | \(-0.737640\pi\) |
0.614485 | + | 0.788929i | \(0.289364\pi\) | |||||||
\(54\) | −26.8524 | + | 27.1468i | −0.497267 | + | 0.502718i | ||||
\(55\) | −20.9141 | − | 15.8985i | −0.380256 | − | 0.289063i | ||||
\(56\) | 1.84703 | − | 3.06978i | 0.0329826 | − | 0.0548176i | ||||
\(57\) | −12.2940 | + | 24.9021i | −0.215684 | + | 0.436878i | ||||
\(58\) | 5.67293 | 0.0978092 | ||||||||
\(59\) | −24.5882 | − | 53.6323i | −0.416748 | − | 0.909022i | ||||
\(60\) | −45.6619 | − | 6.13682i | −0.761031 | − | 0.102280i | ||||
\(61\) | 92.3366 | + | 31.1118i | 1.51372 | + | 0.510030i | 0.949005 | − | 0.315260i | \(-0.102092\pi\) |
0.564710 | + | 0.825290i | \(0.308988\pi\) | |||||||
\(62\) | −6.48788 | + | 10.7829i | −0.104643 | + | 0.173919i | ||||
\(63\) | −6.93179 | − | 9.05017i | −0.110028 | − | 0.143653i | ||||
\(64\) | 2.96111 | − | 7.43181i | 0.0462673 | − | 0.116122i | ||||
\(65\) | −44.1706 | + | 37.5188i | −0.679547 | + | 0.577213i | ||||
\(66\) | −4.28573 | − | 13.8680i | −0.0649353 | − | 0.210122i | ||||
\(67\) | 15.6576 | + | 23.0932i | 0.233695 | + | 0.344674i | 0.926396 | − | 0.376550i | \(-0.122890\pi\) |
−0.692701 | + | 0.721225i | \(0.743579\pi\) | |||||||
\(68\) | 41.0399 | − | 21.7580i | 0.603528 | − | 0.319970i | ||||
\(69\) | −3.97344 | + | 3.57778i | −0.0575860 | + | 0.0518519i | ||||
\(70\) | 3.67984 | − | 13.2536i | 0.0525691 | − | 0.189337i | ||||
\(71\) | 61.6099 | − | 24.5476i | 0.867745 | − | 0.345741i | 0.106583 | − | 0.994304i | \(-0.466009\pi\) |
0.761161 | + | 0.648563i | \(0.224630\pi\) | |||||||
\(72\) | −18.5443 | − | 17.4387i | −0.257560 | − | 0.242204i | ||||
\(73\) | 115.937 | − | 12.6090i | 1.58818 | − | 0.172725i | 0.729044 | − | 0.684467i | \(-0.239965\pi\) |
0.859140 | + | 0.511741i | \(0.170999\pi\) | |||||||
\(74\) | 15.5337 | + | 20.4343i | 0.209915 | + | 0.276139i | ||||
\(75\) | −100.931 | + | 13.9384i | −1.34575 | + | 0.185845i | ||||
\(76\) | −16.8031 | − | 7.77396i | −0.221094 | − | 0.102289i | ||||
\(77\) | 4.27642 | − | 0.701084i | 0.0555380 | − | 0.00910499i | ||||
\(78\) | −31.9104 | + | 2.65675i | −0.409108 | + | 0.0340609i | ||||
\(79\) | −2.13064 | + | 1.28196i | −0.0269701 | + | 0.0162274i | −0.528975 | − | 0.848637i | \(-0.677423\pi\) |
0.502005 | + | 0.864865i | \(0.332596\pi\) | |||||||
\(80\) | 3.32087 | − | 30.5349i | 0.0415109 | − | 0.381686i | ||||
\(81\) | −73.2645 | + | 34.5444i | −0.904500 | + | 0.426474i | ||||
\(82\) | −5.03818 | + | 30.7316i | −0.0614413 | + | 0.374775i | ||||
\(83\) | 75.6797 | − | 4.10323i | 0.911804 | − | 0.0494366i | 0.407735 | − | 0.913100i | \(-0.366319\pi\) |
0.504069 | + | 0.863664i | \(0.331836\pi\) | |||||||
\(84\) | 5.91477 | − | 4.77214i | 0.0704140 | − | 0.0568112i | ||||
\(85\) | 129.475 | − | 122.646i | 1.52324 | − | 1.44289i | ||||
\(86\) | −18.5367 | − | 1.00503i | −0.215544 | − | 0.0116864i | ||||
\(87\) | 11.3034 | + | 4.12939i | 0.129925 | + | 0.0474642i | ||||
\(88\) | 9.17022 | − | 3.08981i | 0.104207 | − | 0.0351115i | ||||
\(89\) | −23.1533 | − | 68.7165i | −0.260149 | − | 0.772096i | −0.995530 | − | 0.0944419i | \(-0.969893\pi\) |
0.735381 | − | 0.677654i | \(-0.237003\pi\) | |||||||
\(90\) | −86.5152 | − | 45.4655i | −0.961280 | − | 0.505172i | ||||
\(91\) | 0.517559 | − | 9.54582i | 0.00568746 | − | 0.104899i | ||||
\(92\) | −2.45135 | − | 2.58785i | −0.0266451 | − | 0.0281288i | ||||
\(93\) | −20.7763 | + | 16.7627i | −0.223401 | + | 0.180244i | ||||
\(94\) | 6.49873 | + | 119.862i | 0.0691355 | + | 1.27513i | ||||
\(95\) | −70.1468 | − | 11.5000i | −0.738387 | − | 0.121052i | ||||
\(96\) | 11.3098 | − | 12.6526i | 0.117810 | − | 0.131798i | ||||
\(97\) | 151.308 | + | 16.4557i | 1.55988 | + | 0.169647i | 0.846981 | − | 0.531624i | \(-0.178418\pi\) |
0.712895 | + | 0.701271i | \(0.247384\pi\) | |||||||
\(98\) | −34.5563 | − | 57.4330i | −0.352615 | − | 0.586051i | ||||
\(99\) | 1.55527 | − | 30.7520i | 0.0157098 | − | 0.310626i | ||||
\(100\) | −10.9892 | − | 67.0311i | −0.109892 | − | 0.670311i | ||||
\(101\) | 24.9010 | − | 53.8226i | 0.246544 | − | 0.532897i | −0.744310 | − | 0.667835i | \(-0.767221\pi\) |
0.990854 | + | 0.134938i | \(0.0430834\pi\) | |||||||
\(102\) | 97.6108 | − | 13.4799i | 0.956969 | − | 0.132156i | ||||
\(103\) | −39.7884 | + | 30.2464i | −0.386295 | + | 0.293654i | −0.780240 | − | 0.625480i | \(-0.784903\pi\) |
0.393945 | + | 0.919134i | \(0.371110\pi\) | |||||||
\(104\) | −2.30804 | − | 21.2221i | −0.0221927 | − | 0.204058i | ||||
\(105\) | 16.9796 | − | 23.7295i | 0.161710 | − | 0.225995i | ||||
\(106\) | −2.35288 | − | 5.90528i | −0.0221970 | − | 0.0557102i | ||||
\(107\) | −59.9995 | − | 16.6588i | −0.560743 | − | 0.155690i | −0.0244192 | − | 0.999702i | \(-0.507774\pi\) |
−0.536324 | + | 0.844012i | \(0.680187\pi\) | |||||||
\(108\) | −24.2562 | − | 48.2456i | −0.224594 | − | 0.446719i | ||||
\(109\) | −36.9405 | − | 69.6772i | −0.338904 | − | 0.639240i | 0.654221 | − | 0.756304i | \(-0.272997\pi\) |
−0.993124 | + | 0.117064i | \(0.962652\pi\) | |||||||
\(110\) | 30.7509 | − | 20.8496i | 0.279553 | − | 0.189542i | ||||
\(111\) | 16.0770 | + | 52.0229i | 0.144838 | + | 0.468675i | ||||
\(112\) | 3.28003 | + | 3.86155i | 0.0292860 | + | 0.0344781i | ||||
\(113\) | −29.8603 | − | 11.8974i | −0.264251 | − | 0.105287i | 0.234250 | − | 0.972176i | \(-0.424737\pi\) |
−0.498501 | + | 0.866889i | \(0.666116\pi\) | |||||||
\(114\) | −27.8219 | − | 27.7210i | −0.244052 | − | 0.243166i | ||||
\(115\) | −11.7266 | − | 7.05569i | −0.101971 | − | 0.0613538i | ||||
\(116\) | −2.56167 | + | 7.60277i | −0.0220834 | + | 0.0655411i | ||||
\(117\) | −65.5161 | − | 17.9343i | −0.559967 | − | 0.153285i | ||||
\(118\) | 82.9802 | − | 8.73443i | 0.703222 | − | 0.0740206i | ||||
\(119\) | 29.4183i | 0.247213i | ||||||||
\(120\) | 28.8436 | − | 58.4242i | 0.240363 | − | 0.486868i | ||||
\(121\) | −93.6502 | − | 56.3475i | −0.773969 | − | 0.465682i | ||||
\(122\) | −83.3912 | + | 109.699i | −0.683534 | + | 0.899174i | ||||
\(123\) | −32.4085 | + | 57.5660i | −0.263484 | + | 0.468016i | ||||
\(124\) | −11.5215 | − | 13.5641i | −0.0929150 | − | 0.109388i | ||||
\(125\) | −28.8985 | − | 62.4631i | −0.231188 | − | 0.499705i | ||||
\(126\) | 15.2590 | − | 5.20318i | 0.121103 | − | 0.0412950i | ||||
\(127\) | −56.1122 | − | 105.839i | −0.441828 | − | 0.833376i | −0.999993 | − | 0.00364656i | \(-0.998839\pi\) |
0.558165 | − | 0.829730i | \(-0.311506\pi\) | |||||||
\(128\) | 8.62288 | + | 7.32434i | 0.0673662 | + | 0.0572214i | ||||
\(129\) | −36.2033 | − | 15.4956i | −0.280646 | − | 0.120121i | ||||
\(130\) | −30.3364 | − | 76.1387i | −0.233357 | − | 0.585682i | ||||
\(131\) | −215.018 | − | 113.995i | −1.64136 | − | 0.870193i | −0.994165 | − | 0.107867i | \(-0.965598\pi\) |
−0.647193 | − | 0.762326i | \(-0.724057\pi\) | |||||||
\(132\) | 20.5210 | + | 0.518590i | 0.155462 | + | 0.00392872i | ||||
\(133\) | 9.33460 | − | 7.09598i | 0.0701850 | − | 0.0533532i | ||||
\(134\) | −38.0194 | + | 10.5560i | −0.283727 | + | 0.0787765i | ||||
\(135\) | −139.289 | − | 153.566i | −1.03177 | − | 1.13753i | ||||
\(136\) | 10.6277 | + | 64.8261i | 0.0781448 | + | 0.476662i | ||||
\(137\) | 46.7654 | + | 212.457i | 0.341353 | + | 1.55078i | 0.764440 | + | 0.644695i | \(0.223016\pi\) |
−0.423087 | + | 0.906089i | \(0.639053\pi\) | |||||||
\(138\) | −3.00064 | − | 6.94072i | −0.0217437 | − | 0.0502951i | ||||
\(139\) | 148.128 | + | 16.1099i | 1.06567 | + | 0.115898i | 0.624112 | − | 0.781335i | \(-0.285461\pi\) |
0.441556 | + | 0.897233i | \(0.354427\pi\) | |||||||
\(140\) | 16.1006 | + | 10.9165i | 0.115004 | + | 0.0779747i | ||||
\(141\) | −74.3000 | + | 243.558i | −0.526950 | + | 1.72736i | ||||
\(142\) | 5.07773 | + | 93.6533i | 0.0357587 | + | 0.659530i | ||||
\(143\) | 17.7574 | − | 18.7463i | 0.124178 | − | 0.131093i | ||||
\(144\) | 31.7449 | − | 16.9782i | 0.220451 | − | 0.117904i | ||||
\(145\) | −1.66760 | + | 30.7571i | −0.0115007 | + | 0.212118i | ||||
\(146\) | −35.4545 | + | 161.071i | −0.242839 | + | 1.10323i | ||||
\(147\) | −27.0481 | − | 139.590i | −0.184001 | − | 0.949595i | ||||
\(148\) | −34.4001 | + | 11.5907i | −0.232433 | + | 0.0783158i | ||||
\(149\) | 51.3415 | − | 233.247i | 0.344574 | − | 1.56541i | −0.411799 | − | 0.911275i | \(-0.635100\pi\) |
0.756373 | − | 0.654140i | \(-0.226969\pi\) | |||||||
\(150\) | 26.8964 | − | 141.560i | 0.179310 | − | 0.943734i | ||||
\(151\) | −146.504 | + | 138.776i | −0.970224 | + | 0.919045i | −0.996746 | − | 0.0806035i | \(-0.974315\pi\) |
0.0265226 | + | 0.999648i | \(0.491557\pi\) | |||||||
\(152\) | 18.0062 | − | 19.0089i | 0.118462 | − | 0.125058i | ||||
\(153\) | 204.304 | + | 44.1930i | 1.33532 | + | 0.288843i | ||||
\(154\) | −0.991482 | + | 6.04778i | −0.00643820 | + | 0.0392713i | ||||
\(155\) | −56.5550 | − | 38.3452i | −0.364871 | − | 0.247389i | ||||
\(156\) | 10.8489 | − | 43.9655i | 0.0695445 | − | 0.281830i | ||||
\(157\) | 113.521 | − | 68.3030i | 0.723061 | − | 0.435051i | −0.105886 | − | 0.994378i | \(-0.533768\pi\) |
0.828947 | + | 0.559327i | \(0.188940\pi\) | |||||||
\(158\) | −0.755953 | − | 3.43433i | −0.00478451 | − | 0.0217363i | ||||
\(159\) | −0.389648 | − | 13.4791i | −0.00245062 | − | 0.0847742i | ||||
\(160\) | 39.4228 | + | 18.2389i | 0.246392 | + | 0.113993i | ||||
\(161\) | 2.17523 | − | 0.603949i | 0.0135107 | − | 0.00375123i | ||||
\(162\) | −13.2124 | − | 113.787i | −0.0815583 | − | 0.702388i | ||||
\(163\) | −96.9702 | + | 10.5461i | −0.594909 | + | 0.0647003i | −0.400620 | − | 0.916244i | \(-0.631205\pi\) |
−0.194289 | + | 0.980944i | \(0.562240\pi\) | |||||||
\(164\) | −38.9109 | − | 20.6293i | −0.237262 | − | 0.125788i | ||||
\(165\) | 76.4484 | − | 19.1594i | 0.463324 | − | 0.116118i | ||||
\(166\) | −28.6749 | + | 103.278i | −0.172740 | + | 0.622154i | ||||
\(167\) | 72.7539 | + | 61.7977i | 0.435652 | + | 0.370046i | 0.838209 | − | 0.545349i | \(-0.183603\pi\) |
−0.402557 | + | 0.915395i | \(0.631879\pi\) | |||||||
\(168\) | 3.72467 | + | 10.0818i | 0.0221707 | + | 0.0600107i | ||||
\(169\) | 62.8738 | + | 92.7319i | 0.372034 | + | 0.548709i | ||||
\(170\) | 105.902 | + | 228.903i | 0.622952 | + | 1.34649i | ||||
\(171\) | −35.2573 | − | 75.4865i | −0.206183 | − | 0.441441i | ||||
\(172\) | 9.71739 | − | 24.3888i | 0.0564965 | − | 0.141795i | ||||
\(173\) | 26.6689 | − | 35.0823i | 0.154156 | − | 0.202788i | −0.712532 | − | 0.701640i | \(-0.752452\pi\) |
0.866687 | + | 0.498852i | \(0.166245\pi\) | |||||||
\(174\) | −10.6383 | + | 13.2840i | −0.0611398 | + | 0.0763450i | ||||
\(175\) | 40.7670 | + | 13.7360i | 0.232955 | + | 0.0784915i | ||||
\(176\) | 13.6850i | 0.0777558i | ||||||||
\(177\) | 171.698 | + | 42.9986i | 0.970044 | + | 0.242930i | ||||
\(178\) | 102.548 | 0.576112 | ||||||||
\(179\) | 98.0399 | − | 290.972i | 0.547709 | − | 1.62554i | −0.213433 | − | 0.976958i | \(-0.568465\pi\) |
0.761142 | − | 0.648585i | \(-0.224639\pi\) | |||||||
\(180\) | 99.9990 | − | 95.4159i | 0.555550 | − | 0.530088i | ||||
\(181\) | 15.9733 | + | 12.1426i | 0.0882502 | + | 0.0670861i | 0.648369 | − | 0.761326i | \(-0.275451\pi\) |
−0.560119 | + | 0.828412i | \(0.689245\pi\) | |||||||
\(182\) | 12.5594 | + | 5.00414i | 0.0690079 | + | 0.0274953i | ||||
\(183\) | −246.010 | + | 157.877i | −1.34432 | + | 0.862715i | ||||
\(184\) | 4.57513 | − | 2.11668i | 0.0248648 | − | 0.0115037i | ||||
\(185\) | −115.355 | + | 78.2127i | −0.623541 | + | 0.422771i | ||||
\(186\) | −13.0833 | − | 35.4134i | −0.0703404 | − | 0.190395i | ||||
\(187\) | −51.4414 | + | 60.5615i | −0.275088 | + | 0.323858i | ||||
\(188\) | −163.572 | − | 45.4155i | −0.870063 | − | 0.241572i | ||||
\(189\) | 34.1914 | + | 0.739749i | 0.180907 | + | 0.00391401i | ||||
\(190\) | 47.0876 | − | 88.8167i | 0.247830 | − | 0.467456i | ||||
\(191\) | 32.6881 | + | 300.562i | 0.171142 | + | 1.57363i | 0.693219 | + | 0.720727i | \(0.256192\pi\) |
−0.522077 | + | 0.852898i | \(0.674843\pi\) | |||||||
\(192\) | 11.8498 | + | 20.8706i | 0.0617178 | + | 0.108701i | ||||
\(193\) | 27.5862 | + | 99.3564i | 0.142934 | + | 0.514800i | 1.00000 | 0.000405877i | \(-0.000129195\pi\) | |
−0.857066 | + | 0.515206i | \(0.827715\pi\) | |||||||
\(194\) | −90.3784 | + | 195.350i | −0.465868 | + | 1.00696i | ||||
\(195\) | −5.02386 | − | 173.790i | −0.0257634 | − | 0.891232i | ||||
\(196\) | 92.5751 | − | 20.3773i | 0.472322 | − | 0.103966i | ||||
\(197\) | 99.2682 | + | 164.985i | 0.503899 | + | 0.837487i | 0.999518 | − | 0.0310532i | \(-0.00988612\pi\) |
−0.495618 | + | 0.868540i | \(0.665059\pi\) | |||||||
\(198\) | 40.5110 | + | 15.9707i | 0.204601 | + | 0.0806603i | ||||
\(199\) | −71.3614 | + | 105.250i | −0.358600 | + | 0.528896i | −0.963606 | − | 0.267325i | \(-0.913860\pi\) |
0.605006 | + | 0.796221i | \(0.293171\pi\) | |||||||
\(200\) | 94.7963 | + | 15.5411i | 0.473981 | + | 0.0777053i | ||||
\(201\) | −83.4385 | − | 6.64159i | −0.415117 | − | 0.0330428i | ||||
\(202\) | 60.8879 | + | 57.6761i | 0.301425 | + | 0.285525i | ||||
\(203\) | −3.49418 | − | 3.68876i | −0.0172127 | − | 0.0181712i | ||||
\(204\) | −26.0117 | + | 136.903i | −0.127508 | + | 0.671095i | ||||
\(205\) | −165.137 | − | 36.3494i | −0.805546 | − | 0.177314i | ||||
\(206\) | −22.5688 | − | 66.9818i | −0.109557 | − | 0.325155i | ||||
\(207\) | −0.926611 | − | 16.0137i | −0.00447638 | − | 0.0773610i | ||||
\(208\) | 29.4837 | + | 6.48985i | 0.141749 | + | 0.0312012i | ||||
\(209\) | 31.6246 | + | 1.71464i | 0.151314 | + | 0.00820401i | ||||
\(210\) | 24.1345 | + | 33.4711i | 0.114926 | + | 0.159386i | ||||
\(211\) | −159.509 | − | 151.095i | −0.755966 | − | 0.716089i | 0.209158 | − | 0.977882i | \(-0.432928\pi\) |
−0.965124 | + | 0.261793i | \(0.915686\pi\) | |||||||
\(212\) | 8.97663 | − | 0.486699i | 0.0423426 | − | 0.00229575i | ||||
\(213\) | −58.0537 | + | 190.302i | −0.272553 | + | 0.893439i | ||||
\(214\) | 49.4193 | − | 72.8879i | 0.230931 | − | 0.340598i | ||||
\(215\) | 10.8980 | − | 100.206i | 0.0506885 | − | 0.466073i | ||||
\(216\) | 75.6111 | − | 10.7219i | 0.350051 | − | 0.0496384i | ||||
\(217\) | 11.0076 | − | 2.42297i | 0.0507265 | − | 0.0111657i | ||||
\(218\) | 110.061 | − | 18.0436i | 0.504867 | − | 0.0827688i | ||||
\(219\) | −187.889 | + | 295.130i | −0.857942 | + | 1.34763i | ||||
\(220\) | 14.0564 | + | 50.6267i | 0.0638929 | + | 0.230121i | ||||
\(221\) | 106.082 | + | 139.548i | 0.480008 | + | 0.631439i | ||||
\(222\) | −76.9800 | − | 1.94538i | −0.346757 | − | 0.00876296i | ||||
\(223\) | 126.532 | − | 238.664i | 0.567407 | − | 1.07024i | −0.419317 | − | 0.907840i | \(-0.637730\pi\) |
0.986724 | − | 0.162404i | \(-0.0519247\pi\) | |||||||
\(224\) | −6.65632 | + | 2.65212i | −0.0297157 | + | 0.0118398i | ||||
\(225\) | 156.635 | − | 262.484i | 0.696155 | − | 1.16659i | ||||
\(226\) | 29.4285 | − | 34.6459i | 0.130215 | − | 0.153301i | ||||
\(227\) | −4.91085 | + | 2.60357i | −0.0216337 | + | 0.0114695i | −0.479190 | − | 0.877711i | \(-0.659070\pi\) |
0.457556 | + | 0.889181i | \(0.348725\pi\) | |||||||
\(228\) | 49.7144 | − | 24.7687i | 0.218046 | − | 0.108635i | ||||
\(229\) | −20.9095 | + | 9.67374i | −0.0913076 | + | 0.0422434i | −0.465011 | − | 0.885305i | \(-0.653950\pi\) |
0.373704 | + | 0.927548i | \(0.378088\pi\) | |||||||
\(230\) | 14.7512 | − | 12.5298i | 0.0641357 | − | 0.0544774i | ||||
\(231\) | −6.37779 | + | 11.3286i | −0.0276095 | + | 0.0490416i | ||||
\(232\) | −9.03236 | − | 6.86622i | −0.0389326 | − | 0.0295958i | ||||
\(233\) | 118.475 | − | 196.906i | 0.508475 | − | 0.845092i | −0.491188 | − | 0.871053i | \(-0.663437\pi\) |
0.999663 | + | 0.0259618i | \(0.00826484\pi\) | |||||||
\(234\) | 53.6197 | − | 79.7052i | 0.229144 | − | 0.340620i | ||||
\(235\) | −651.769 | −2.77349 | ||||||||
\(236\) | −25.7648 | + | 115.153i | −0.109173 | + | 0.487936i | ||||
\(237\) | 0.993631 | − | 7.39324i | 0.00419253 | − | 0.0311951i | ||||
\(238\) | −39.4260 | − | 13.2842i | −0.165655 | − | 0.0558158i | ||||
\(239\) | −144.184 | + | 239.636i | −0.603281 | + | 1.00266i | 0.393249 | + | 0.919432i | \(0.371351\pi\) |
−0.996530 | + | 0.0832295i | \(0.973477\pi\) | |||||||
\(240\) | 65.2745 | + | 65.0377i | 0.271977 | + | 0.270991i | ||||
\(241\) | −57.3363 | + | 143.903i | −0.237910 | + | 0.597109i | −0.998650 | − | 0.0519481i | \(-0.983457\pi\) |
0.760740 | + | 0.649057i | \(0.224836\pi\) | |||||||
\(242\) | 117.805 | − | 100.064i | 0.486796 | − | 0.413489i | ||||
\(243\) | 56.5005 | − | 236.340i | 0.232512 | − | 0.972593i | ||||
\(244\) | −109.361 | − | 161.295i | −0.448201 | − | 0.661046i | ||||
\(245\) | 321.544 | − | 170.472i | 1.31242 | − | 0.695803i | ||||
\(246\) | −62.5146 | − | 69.4279i | −0.254124 | − | 0.282227i | ||||
\(247\) | 18.6915 | − | 67.3206i | 0.0756740 | − | 0.272553i | ||||
\(248\) | 23.3810 | − | 9.31586i | 0.0942784 | − | 0.0375640i | ||||
\(249\) | −132.312 | + | 184.910i | −0.531374 | + | 0.742611i | ||||
\(250\) | 96.7615 | − | 10.5234i | 0.387046 | − | 0.0420938i | ||||
\(251\) | −10.2133 | − | 13.4354i | −0.0406906 | − | 0.0535276i | 0.775298 | − | 0.631596i | \(-0.217600\pi\) |
−0.815988 | + | 0.578068i | \(0.803807\pi\) | |||||||
\(252\) | 0.0828464 | + | 22.7994i | 0.000328756 | + | 0.0904739i | ||||
\(253\) | 5.53406 | + | 2.56033i | 0.0218738 | + | 0.0101199i | ||||
\(254\) | 167.182 | − | 27.4080i | 0.658195 | − | 0.107906i | ||||
\(255\) | 44.3908 | + | 533.181i | 0.174082 | + | 2.09091i | ||||
\(256\) | −13.7097 | + | 8.24886i | −0.0535536 | + | 0.0322221i | ||||
\(257\) | −48.9794 | + | 450.358i | −0.190581 | + | 1.75237i | 0.374404 | + | 0.927266i | \(0.377847\pi\) |
−0.564985 | + | 0.825101i | \(0.691118\pi\) | |||||||
\(258\) | 37.1150 | − | 41.5219i | 0.143857 | − | 0.160937i | ||||
\(259\) | 3.71933 | − | 22.6869i | 0.0143603 | − | 0.0875942i | ||||
\(260\) | 115.739 | − | 6.27517i | 0.445149 | − | 0.0241353i | ||||
\(261\) | −30.8667 | + | 18.7250i | −0.118263 | + | 0.0717432i | ||||
\(262\) | 249.868 | − | 236.688i | 0.953696 | − | 0.903389i | ||||
\(263\) | 411.636 | + | 22.3182i | 1.56516 | + | 0.0848603i | 0.816204 | − | 0.577764i | \(-0.196075\pi\) |
0.748952 | + | 0.662625i | \(0.230557\pi\) | |||||||
\(264\) | −9.96147 | + | 27.2677i | −0.0377329 | + | 0.103287i | ||||
\(265\) | 32.7084 | − | 11.0208i | 0.123428 | − | 0.0415878i | ||||
\(266\) | 5.29478 | + | 15.7143i | 0.0199052 | + | 0.0590765i | ||||
\(267\) | 204.329 | + | 74.6457i | 0.765277 | + | 0.279572i | ||||
\(268\) | 3.02104 | − | 55.7197i | 0.0112725 | − | 0.207910i | ||||
\(269\) | 166.551 | + | 175.826i | 0.619148 | + | 0.653627i | 0.957851 | − | 0.287267i | \(-0.0927466\pi\) |
−0.338702 | + | 0.940894i | \(0.609988\pi\) | |||||||
\(270\) | 268.705 | − | 117.328i | 0.995202 | − | 0.434548i | ||||
\(271\) | 11.5095 | + | 212.279i | 0.0424703 | + | 0.783319i | 0.939751 | + | 0.341859i | \(0.111056\pi\) |
−0.897281 | + | 0.441460i | \(0.854461\pi\) | |||||||
\(272\) | −91.6779 | − | 15.0298i | −0.337051 | − | 0.0552567i | ||||
\(273\) | 21.3824 | + | 19.1130i | 0.0783238 | + | 0.0700110i | ||||
\(274\) | −305.849 | − | 33.2631i | −1.11624 | − | 0.121398i | ||||
\(275\) | 59.9053 | + | 99.5633i | 0.217837 | + | 0.362049i | ||||
\(276\) | 10.6568 | − | 0.887249i | 0.0386116 | − | 0.00321467i | ||||
\(277\) | 54.8924 | + | 334.829i | 0.198167 | + | 1.20877i | 0.879178 | + | 0.476494i | \(0.158093\pi\) |
−0.681010 | + | 0.732274i | \(0.738459\pi\) | |||||||
\(278\) | −88.4789 | + | 191.244i | −0.318269 | + | 0.687928i | ||||
\(279\) | −0.291007 | − | 80.0855i | −0.00104304 | − | 0.287045i | ||||
\(280\) | −21.9004 | + | 16.6483i | −0.0782158 | + | 0.0594581i | ||||
\(281\) | 43.8946 | + | 403.604i | 0.156208 | + | 1.43631i | 0.765535 | + | 0.643394i | \(0.222474\pi\) |
−0.609327 | + | 0.792919i | \(0.708560\pi\) | |||||||
\(282\) | −292.862 | − | 209.557i | −1.03852 | − | 0.743110i | ||||
\(283\) | −80.7817 | − | 202.747i | −0.285448 | − | 0.716420i | −0.999861 | − | 0.0166955i | \(-0.994685\pi\) |
0.714413 | − | 0.699724i | \(-0.246694\pi\) | |||||||
\(284\) | −127.806 | − | 35.4850i | −0.450020 | − | 0.124947i | ||||
\(285\) | 158.474 | − | 142.694i | 0.556048 | − | 0.500680i | ||||
\(286\) | 17.1049 | + | 32.2633i | 0.0598075 | + | 0.112809i | ||||
\(287\) | 23.0861 | − | 15.6528i | 0.0804393 | − | 0.0545392i | ||||
\(288\) | 8.41910 | + | 50.2107i | 0.0292330 | + | 0.174343i | ||||
\(289\) | −162.119 | − | 190.861i | −0.560966 | − | 0.660420i | ||||
\(290\) | −40.4671 | − | 16.1236i | −0.139542 | − | 0.0555985i | ||||
\(291\) | −322.278 | + | 323.451i | −1.10749 | + | 1.11152i | ||||
\(292\) | −199.855 | − | 120.249i | −0.684436 | − | 0.411811i | ||||
\(293\) | 133.602 | − | 396.516i | 0.455978 | − | 1.35330i | −0.435482 | − | 0.900197i | \(-0.643422\pi\) |
0.891461 | − | 0.453098i | \(-0.149681\pi\) | |||||||
\(294\) | 199.291 | + | 26.7841i | 0.677860 | + | 0.0911024i | ||||
\(295\) | 22.9630 | + | 452.463i | 0.0778408 | + | 1.53377i | ||||
\(296\) | − | 51.3364i | − | 0.173434i | ||||||
\(297\) | 69.0939 | + | 61.3105i | 0.232639 | + | 0.206433i | ||||
\(298\) | 289.410 | + | 174.132i | 0.971174 | + | 0.584336i | ||||
\(299\) | 8.14052 | − | 10.7087i | 0.0272258 | − | 0.0358150i | ||||
\(300\) | 177.571 | + | 99.9691i | 0.591904 | + | 0.333230i | ||||
\(301\) | 10.7640 | + | 12.6724i | 0.0357608 | + | 0.0421009i | ||||
\(302\) | −119.830 | − | 259.008i | −0.396787 | − | 0.857641i | ||||
\(303\) | 79.3375 | + | 159.242i | 0.261840 | + | 0.525551i | ||||
\(304\) | 17.3445 | + | 32.7152i | 0.0570543 | + | 0.107616i | ||||
\(305\) | −570.245 | − | 484.371i | −1.86966 | − | 1.58810i | ||||
\(306\) | −151.482 | + | 253.849i | −0.495040 | + | 0.829572i | ||||
\(307\) | 65.1707 | + | 163.566i | 0.212282 | + | 0.532789i | 0.996103 | − | 0.0881987i | \(-0.0281111\pi\) |
−0.783820 | + | 0.620988i | \(0.786732\pi\) | |||||||
\(308\) | −7.65742 | − | 4.05971i | −0.0248617 | − | 0.0131809i | ||||
\(309\) | 3.78793 | − | 149.891i | 0.0122587 | − | 0.485084i | ||||
\(310\) | 76.9277 | − | 58.4789i | 0.248154 | − | 0.188642i | ||||
\(311\) | 96.3120 | − | 26.7409i | 0.309685 | − | 0.0859836i | −0.109209 | − | 0.994019i | \(-0.534832\pi\) |
0.418894 | + | 0.908035i | \(0.362418\pi\) | |||||||
\(312\) | 54.0229 | + | 34.3927i | 0.173150 | + | 0.110233i | ||||
\(313\) | −18.2855 | − | 111.537i | −0.0584202 | − | 0.356347i | −0.999819 | − | 0.0190505i | \(-0.993936\pi\) |
0.941398 | − | 0.337297i | \(-0.109513\pi\) | |||||||
\(314\) | 40.2772 | + | 182.981i | 0.128271 | + | 0.582743i | ||||
\(315\) | 23.7247 | + | 84.2596i | 0.0753164 | + | 0.267491i | ||||
\(316\) | 4.94399 | + | 0.537691i | 0.0156455 | + | 0.00170155i | ||||
\(317\) | −335.920 | − | 227.759i | −1.05968 | − | 0.718484i | −0.0987083 | − | 0.995116i | \(-0.531471\pi\) |
−0.960976 | + | 0.276633i | \(0.910781\pi\) | |||||||
\(318\) | 18.2404 | + | 5.56443i | 0.0573598 | + | 0.0174982i | ||||
\(319\) | −0.742998 | − | 13.7038i | −0.00232915 | − | 0.0429586i | ||||
\(320\) | −42.2453 | + | 44.5978i | −0.132017 | + | 0.139368i | ||||
\(321\) | 151.525 | − | 109.258i | 0.472040 | − | 0.340368i | ||||
\(322\) | −0.172844 | + | 3.18792i | −0.000536783 | + | 0.00990038i | ||||
\(323\) | −46.2190 | + | 209.975i | −0.143093 | + | 0.650077i | ||||
\(324\) | 158.461 | + | 33.6745i | 0.489079 | + | 0.103934i | ||||
\(325\) | 242.913 | − | 81.8470i | 0.747425 | − | 0.251837i | ||||
\(326\) | 29.6541 | − | 134.720i | 0.0909636 | − | 0.413252i | ||||
\(327\) | 232.433 | + | 44.1623i | 0.710805 | + | 0.135053i | ||||
\(328\) | 45.2176 | − | 42.8324i | 0.137859 | − | 0.130587i | ||||
\(329\) | 73.9362 | − | 78.0535i | 0.224730 | − | 0.237245i | ||||
\(330\) | −8.84394 | + | 111.107i | −0.0267998 | + | 0.336687i | ||||
\(331\) | 57.9844 | − | 353.689i | 0.175179 | − | 1.06855i | −0.742096 | − | 0.670294i | \(-0.766168\pi\) |
0.917275 | − | 0.398253i | \(-0.130384\pi\) | |||||||
\(332\) | −125.463 | − | 85.0657i | −0.377899 | − | 0.256222i | ||||
\(333\) | −151.968 | − | 59.9107i | −0.456361 | − | 0.179912i | ||||
\(334\) | −115.673 | + | 69.5982i | −0.346327 | + | 0.208378i | ||||
\(335\) | −46.0559 | − | 209.234i | −0.137480 | − | 0.624579i | ||||
\(336\) | −15.1934 | + | 0.439204i | −0.0452184 | + | 0.00130715i | ||||
\(337\) | 269.256 | + | 124.571i | 0.798979 | + | 0.369647i | 0.776513 | − | 0.630101i | \(-0.216986\pi\) |
0.0224652 | + | 0.999748i | \(0.492849\pi\) | |||||||
\(338\) | −152.669 | + | 42.3884i | −0.451684 | + | 0.125409i | ||||
\(339\) | 83.8561 | − | 47.6114i | 0.247363 | − | 0.140447i | ||||
\(340\) | −354.593 | + | 38.5643i | −1.04292 | + | 0.113424i | ||||
\(341\) | 26.8975 | + | 14.2602i | 0.0788783 | + | 0.0418186i | ||||
\(342\) | 117.087 | − | 13.1646i | 0.342358 | − | 0.0384930i | ||||
\(343\) | −32.6649 | + | 117.648i | −0.0952330 | + | 0.342998i | ||||
\(344\) | 28.2975 | + | 24.0361i | 0.0822602 | + | 0.0698724i | ||||
\(345\) | 38.5127 | − | 14.2283i | 0.111631 | − | 0.0412416i | ||||
\(346\) | 34.9742 | + | 51.5830i | 0.101081 | + | 0.149084i | ||||
\(347\) | −7.89562 | − | 17.0661i | −0.0227539 | − | 0.0491818i | 0.895865 | − | 0.444326i | \(-0.146557\pi\) |
−0.918619 | + | 0.395144i | \(0.870695\pi\) | |||||||
\(348\) | −12.9992 | − | 20.2559i | −0.0373540 | − | 0.0582065i | ||||
\(349\) | −49.1092 | + | 123.255i | −0.140714 | + | 0.353165i | −0.982397 | − | 0.186807i | \(-0.940186\pi\) |
0.841683 | + | 0.539973i | \(0.181565\pi\) | |||||||
\(350\) | −36.8176 | + | 48.4327i | −0.105193 | + | 0.138379i | ||||
\(351\) | 164.857 | − | 119.784i | 0.469677 | − | 0.341265i | ||||
\(352\) | −18.3404 | − | 6.17962i | −0.0521035 | − | 0.0175557i | ||||
\(353\) | − | 483.063i | − | 1.36845i | −0.729271 | − | 0.684225i | \(-0.760141\pi\) | ||
0.729271 | − | 0.684225i | \(-0.239859\pi\) | |||||||
\(354\) | −135.158 | + | 210.690i | −0.381802 | + | 0.595170i | ||||
\(355\) | −509.255 | −1.43452 | ||||||||
\(356\) | −46.3066 | + | 137.433i | −0.130075 | + | 0.386048i | ||||
\(357\) | −68.8875 | − | 55.1676i | −0.192962 | − | 0.154531i | ||||
\(358\) | 345.685 | + | 262.783i | 0.965601 | + | 0.734031i | ||||
\(359\) | 468.745 | + | 186.765i | 1.30570 | + | 0.520237i | 0.916174 | − | 0.400781i | \(-0.131261\pi\) |
0.389522 | + | 0.921017i | \(0.372640\pi\) | |||||||
\(360\) | 82.7192 | + | 177.103i | 0.229776 | + | 0.491953i | ||||
\(361\) | −249.860 | + | 115.598i | −0.692133 | + | 0.320215i | ||||
\(362\) | −23.4862 | + | 15.9240i | −0.0648790 | + | 0.0439890i | ||||
\(363\) | 307.566 | − | 113.629i | 0.847290 | − | 0.313027i | ||||
\(364\) | −12.3778 | + | 14.5723i | −0.0340050 | + | 0.0400338i | ||||
\(365\) | −862.861 | − | 239.572i | −2.36400 | − | 0.656362i | ||||
\(366\) | −100.496 | − | 400.990i | −0.274578 | − | 1.09560i | ||||
\(367\) | 180.961 | − | 341.329i | 0.493083 | − | 0.930053i | −0.504687 | − | 0.863303i | \(-0.668392\pi\) |
0.997770 | − | 0.0667505i | \(-0.0212632\pi\) | |||||||
\(368\) | 0.770793 | + | 7.08733i | 0.00209455 | + | 0.0192590i | ||||
\(369\) | −74.0244 | − | 183.842i | −0.200608 | − | 0.498216i | ||||
\(370\) | −52.7296 | − | 189.915i | −0.142512 | − | 0.513283i | ||||
\(371\) | −2.39062 | + | 5.16723i | −0.00644371 | + | 0.0139278i | ||||
\(372\) | 53.3684 | − | 1.54275i | 0.143463 | − | 0.00414718i | ||||
\(373\) | 219.191 | − | 48.2475i | 0.587643 | − | 0.129350i | 0.0888106 | − | 0.996049i | \(-0.471693\pi\) |
0.498832 | + | 0.866699i | \(0.333762\pi\) | |||||||
\(374\) | −57.9347 | − | 96.2882i | −0.154906 | − | 0.257455i | ||||
\(375\) | 200.460 | + | 49.4655i | 0.534559 | + | 0.131908i | ||||
\(376\) | 134.728 | − | 198.708i | 0.358318 | − | 0.528480i | ||||
\(377\) | −29.8765 | − | 4.89800i | −0.0792480 | − | 0.0129920i | ||||
\(378\) | −16.4309 | + | 45.4887i | −0.0434679 | + | 0.120340i | ||||
\(379\) | −483.834 | − | 458.311i | −1.27661 | − | 1.20927i | −0.965946 | − | 0.258744i | \(-0.916691\pi\) |
−0.310660 | − | 0.950521i | \(-0.600550\pi\) | |||||||
\(380\) | 97.7678 | + | 103.212i | 0.257284 | + | 0.271611i | ||||
\(381\) | 353.064 | + | 67.0821i | 0.926676 | + | 0.176069i | ||||
\(382\) | −417.570 | − | 91.9140i | −1.09311 | − | 0.240613i | ||||
\(383\) | −114.224 | − | 339.006i | −0.298236 | − | 0.885133i | −0.987081 | − | 0.160224i | \(-0.948778\pi\) |
0.688845 | − | 0.724909i | \(-0.258118\pi\) | |||||||
\(384\) | −33.3213 | + | 6.45660i | −0.0867743 | + | 0.0168141i | ||||
\(385\) | −32.4979 | − | 7.15333i | −0.0844101 | − | 0.0185801i | ||||
\(386\) | −145.613 | − | 7.89489i | −0.377235 | − | 0.0204531i | ||||
\(387\) | 104.177 | − | 55.7169i | 0.269190 | − | 0.143971i | ||||
\(388\) | −220.993 | − | 209.336i | −0.569570 | − | 0.539526i | ||||
\(389\) | 14.7585 | − | 0.800185i | 0.0379397 | − | 0.00205703i | −0.0351593 | − | 0.999382i | \(-0.511194\pi\) |
0.0730990 | + | 0.997325i | \(0.476711\pi\) | |||||||
\(390\) | 235.180 | + | 71.7440i | 0.603025 | + | 0.183959i | ||||
\(391\) | −23.2299 | + | 34.2616i | −0.0594115 | + | 0.0876254i | ||||
\(392\) | −14.4939 | + | 133.269i | −0.0369742 | + | 0.339972i | ||||
\(393\) | 670.156 | − | 289.724i | 1.70523 | − | 0.737211i | ||||
\(394\) | −265.936 | + | 58.5369i | −0.674964 | + | 0.148571i | ||||
\(395\) | 18.8422 | − | 3.08902i | 0.0477017 | − | 0.00782030i | ||||
\(396\) | −39.6969 | + | 47.0805i | −0.100245 | + | 0.118890i | ||||
\(397\) | −162.094 | − | 583.810i | −0.408297 | − | 1.47055i | −0.826882 | − | 0.562376i | \(-0.809887\pi\) |
0.418584 | − | 0.908178i | \(-0.362526\pi\) | |||||||
\(398\) | −108.831 | − | 143.164i | −0.273444 | − | 0.359709i | ||||
\(399\) | −0.888671 | + | 35.1653i | −0.00222724 | + | 0.0881336i | ||||
\(400\) | −63.6341 | + | 120.027i | −0.159085 | + | 0.300067i | ||||
\(401\) | −24.5776 | + | 9.79261i | −0.0612908 | + | 0.0244205i | −0.400582 | − | 0.916261i | \(-0.631192\pi\) |
0.339291 | + | 0.940681i | \(0.389813\pi\) | |||||||
\(402\) | 46.5785 | − | 108.824i | 0.115867 | − | 0.270706i | ||||
\(403\) | 43.4784 | − | 51.1867i | 0.107887 | − | 0.127014i | ||||
\(404\) | −104.791 | + | 55.5567i | −0.259384 | + | 0.137517i | ||||
\(405\) | 620.804 | − | 38.1858i | 1.53285 | − | 0.0942858i | ||||
\(406\) | 6.52146 | − | 3.01715i | 0.0160627 | − | 0.00743140i | ||||
\(407\) | 47.3274 | − | 40.2003i | 0.116284 | − | 0.0987722i | ||||
\(408\) | −171.730 | − | 96.6806i | −0.420907 | − | 0.236962i | ||||
\(409\) | 459.578 | + | 349.362i | 1.12366 | + | 0.854186i | 0.990582 | − | 0.136920i | \(-0.0437203\pi\) |
0.133080 | + | 0.991105i | \(0.457513\pi\) | |||||||
\(410\) | 123.284 | − | 204.900i | 0.300693 | − | 0.499756i | ||||
\(411\) | −585.199 | − | 288.909i | −1.42384 | − | 0.702941i | ||||
\(412\) | 99.9592 | 0.242619 | ||||||||
\(413\) | −56.7902 | − | 48.5771i | −0.137507 | − | 0.117620i | ||||
\(414\) | 21.8798 | + | 5.98934i | 0.0528497 | + | 0.0144670i | ||||
\(415\) | −551.513 | − | 185.826i | −1.32895 | − | 0.447775i | ||||
\(416\) | −22.0113 | + | 36.5830i | −0.0529117 | + | 0.0879399i | ||||
\(417\) | −315.505 | + | 316.653i | −0.756606 | + | 0.759360i | ||||
\(418\) | −16.5784 | + | 41.6086i | −0.0396612 | + | 0.0995420i | ||||
\(419\) | −63.6530 | + | 54.0673i | −0.151916 | + | 0.129039i | −0.720121 | − | 0.693848i | \(-0.755914\pi\) |
0.568205 | + | 0.822887i | \(0.307638\pi\) | |||||||
\(420\) | −55.7556 | + | 17.2305i | −0.132751 | + | 0.0410250i | ||||
\(421\) | 53.0630 | + | 78.2620i | 0.126040 | + | 0.185896i | 0.885474 | − | 0.464690i | \(-0.153834\pi\) |
−0.759433 | + | 0.650585i | \(0.774524\pi\) | |||||||
\(422\) | 274.523 | − | 145.543i | 0.650528 | − | 0.344888i | ||||
\(423\) | −430.996 | − | 630.724i | −1.01890 | − | 1.49107i | ||||
\(424\) | −3.40123 | + | 12.2501i | −0.00802176 | + | 0.0288918i | ||||
\(425\) | −732.781 | + | 291.967i | −1.72419 | + | 0.686980i | ||||
\(426\) | −228.826 | − | 163.736i | −0.537149 | − | 0.384356i | ||||
\(427\) | 122.695 | − | 13.3438i | 0.287341 | − | 0.0312502i | ||||
\(428\) | 75.3675 | + | 99.1442i | 0.176092 | + | 0.231645i | ||||
\(429\) | 10.5971 | + | 76.7363i | 0.0247020 | + | 0.178872i | ||||
\(430\) | 129.373 | + | 59.8543i | 0.300867 | + | 0.139196i | ||||
\(431\) | 209.826 | − | 34.3993i | 0.486836 | − | 0.0798127i | 0.0866350 | − | 0.996240i | \(-0.472389\pi\) |
0.400201 | + | 0.916427i | \(0.368940\pi\) | |||||||
\(432\) | −19.7737 | + | 106.174i | −0.0457724 | + | 0.245774i | ||||
\(433\) | −201.387 | + | 121.171i | −0.465097 | + | 0.279840i | −0.728752 | − | 0.684777i | \(-0.759899\pi\) |
0.263655 | + | 0.964617i | \(0.415072\pi\) | |||||||
\(434\) | −1.72340 | + | 15.8464i | −0.00397096 | + | 0.0365124i | ||||
\(435\) | −68.8951 | − | 61.5830i | −0.158379 | − | 0.141570i | ||||
\(436\) | −25.5175 | + | 155.650i | −0.0585264 | + | 0.356995i | ||||
\(437\) | 16.4746 | − | 0.893229i | 0.0376994 | − | 0.00204400i | ||||
\(438\) | −310.686 | − | 385.075i | −0.709328 | − | 0.879167i | ||||
\(439\) | −207.995 | + | 197.023i | −0.473792 | + | 0.448800i | −0.886954 | − | 0.461858i | \(-0.847183\pi\) |
0.413162 | + | 0.910658i | \(0.364424\pi\) | |||||||
\(440\) | −74.1964 | − | 4.02281i | −0.168628 | − | 0.00914275i | ||||
\(441\) | 377.595 | + | 198.434i | 0.856224 | + | 0.449963i | ||||
\(442\) | −234.922 | + | 79.1546i | −0.531499 | + | 0.179083i | ||||
\(443\) | −227.471 | − | 675.109i | −0.513478 | − | 1.52395i | −0.820159 | − | 0.572135i | \(-0.806115\pi\) |
0.306682 | − | 0.951812i | \(-0.400781\pi\) | |||||||
\(444\) | 37.3683 | − | 102.289i | 0.0841628 | − | 0.230380i | ||||
\(445\) | −30.1447 | + | 555.986i | −0.0677409 | + | 1.24941i | ||||
\(446\) | 262.717 | + | 277.347i | 0.589052 | + | 0.621855i | ||||
\(447\) | 449.903 | + | 557.627i | 1.00649 | + | 1.24749i | ||||
\(448\) | −0.548597 | − | 10.1183i | −0.00122455 | − | 0.0225855i | ||||
\(449\) | −163.728 | − | 26.8419i | −0.364651 | − | 0.0597814i | −0.0233286 | − | 0.999728i | \(-0.507426\pi\) |
−0.341322 | + | 0.939946i | \(0.610875\pi\) | |||||||
\(450\) | 281.046 | + | 328.447i | 0.624547 | + | 0.729882i | ||||
\(451\) | 74.8964 | + | 8.14548i | 0.166067 | + | 0.0180609i | ||||
\(452\) | 33.1431 | + | 55.0843i | 0.0733256 | + | 0.121868i | ||||
\(453\) | −50.2290 | − | 603.304i | −0.110881 | − | 1.33180i | ||||
\(454\) | −1.27171 | − | 7.75711i | −0.00280113 | − | 0.0170862i | ||||
\(455\) | −30.8230 | + | 66.6228i | −0.0677428 | + | 0.146424i | ||||
\(456\) | 10.7456 | + | 77.8111i | 0.0235649 | + | 0.170638i | ||||
\(457\) | −555.328 | + | 422.149i | −1.21516 | + | 0.923740i | −0.998619 | − | 0.0525337i | \(-0.983270\pi\) |
−0.216540 | + | 0.976274i | \(0.569477\pi\) | |||||||
\(458\) | −3.52271 | − | 32.3908i | −0.00769151 | − | 0.0707223i | ||||
\(459\) | −486.611 | + | 395.534i | −1.06016 | + | 0.861731i | ||||
\(460\) | 10.1312 | + | 25.4273i | 0.0220243 | + | 0.0552768i | ||||
\(461\) | −292.158 | − | 81.1172i | −0.633748 | − | 0.175959i | −0.0642259 | − | 0.997935i | \(-0.520458\pi\) |
−0.569522 | + | 0.821976i | \(0.692872\pi\) | |||||||
\(462\) | −12.3025 | − | 13.6630i | −0.0266287 | − | 0.0295735i | ||||
\(463\) | 160.770 | + | 303.243i | 0.347234 | + | 0.654953i | 0.994198 | − | 0.107568i | \(-0.0343062\pi\) |
−0.646963 | + | 0.762521i | \(0.723961\pi\) | |||||||
\(464\) | 13.2807 | − | 9.00451i | 0.0286221 | − | 0.0194063i | ||||
\(465\) | 195.848 | − | 60.5240i | 0.421177 | − | 0.130159i | ||||
\(466\) | 210.392 | + | 247.693i | 0.451486 | + | 0.531530i | ||||
\(467\) | 463.028 | + | 184.487i | 0.991494 | + | 0.395047i | 0.808775 | − | 0.588118i | \(-0.200131\pi\) |
0.182719 | + | 0.983165i | \(0.441510\pi\) | |||||||
\(468\) | 82.6071 | + | 107.852i | 0.176511 | + | 0.230453i | ||||
\(469\) | 30.2816 | + | 18.2199i | 0.0645664 | + | 0.0388483i | ||||
\(470\) | 294.313 | − | 873.491i | 0.626198 | − | 1.85849i | ||||
\(471\) | −52.9408 | + | 393.913i | −0.112401 | + | 0.836333i | ||||
\(472\) | −142.692 | − | 86.5281i | −0.302313 | − | 0.183322i | ||||
\(473\) | 44.9098i | 0.0949468i | ||||||||
\(474\) | 9.45962 | + | 4.67014i | 0.0199570 | + | 0.00985263i | ||||
\(475\) | 269.396 | + | 162.090i | 0.567150 | + | 0.341243i | ||||
\(476\) | 35.6065 | − | 46.8395i | 0.0748035 | − | 0.0984023i | ||||
\(477\) | 32.2940 | + | 24.3646i | 0.0677024 | + | 0.0510789i | ||||
\(478\) | −256.049 | − | 301.444i | −0.535666 | − | 0.630635i | ||||
\(479\) | −368.472 | − | 796.439i | −0.769252 | − | 1.66271i | −0.748687 | − | 0.662923i | \(-0.769316\pi\) |
−0.0205650 | − | 0.999789i | \(-0.506546\pi\) | |||||||
\(480\) | −116.638 | + | 58.1114i | −0.242996 | + | 0.121065i | ||||
\(481\) | −64.1654 | − | 121.029i | −0.133400 | − | 0.251619i | ||||
\(482\) | −166.966 | − | 141.822i | −0.346402 | − | 0.294237i | ||||
\(483\) | −2.66492 | + | 6.22619i | −0.00551743 | + | 0.0128907i | ||||
\(484\) | 80.9085 | + | 203.065i | 0.167166 | + | 0.419556i | ||||
\(485\) | −1032.56 | − | 547.431i | −2.12900 | − | 1.12872i | ||||
\(486\) | 291.226 | + | 182.443i | 0.599230 | + | 0.375397i | ||||
\(487\) | 650.952 | − | 494.841i | 1.33666 | − | 1.01610i | 0.339511 | − | 0.940602i | \(-0.389738\pi\) |
0.997146 | − | 0.0754980i | \(-0.0240546\pi\) | |||||||
\(488\) | 265.548 | − | 73.7292i | 0.544157 | − | 0.151084i | ||||
\(489\) | 157.151 | − | 246.847i | 0.321372 | − | 0.504800i | ||||
\(490\) | 83.2670 | + | 507.906i | 0.169933 | + | 1.03654i | ||||
\(491\) | 192.661 | + | 875.267i | 0.392385 | + | 1.78262i | 0.595383 | + | 0.803442i | \(0.297000\pi\) |
−0.202999 | + | 0.979179i | \(0.565069\pi\) | |||||||
\(492\) | 121.275 | − | 52.4302i | 0.246495 | − | 0.106565i | ||||
\(493\) | 92.6196 | + | 10.0730i | 0.187869 | + | 0.0204320i | ||||
\(494\) | 81.7816 | + | 55.4493i | 0.165550 | + | 0.112246i | ||||
\(495\) | −98.4974 | + | 214.945i | −0.198985 | + | 0.434232i | ||||
\(496\) | 1.92701 | + | 35.5416i | 0.00388510 | + | 0.0716564i | ||||
\(497\) | 57.7695 | − | 60.9865i | 0.116236 | − | 0.122709i | ||||
\(498\) | −188.067 | − | 260.821i | −0.377644 | − | 0.523737i | ||||
\(499\) | 36.8270 | − | 679.234i | 0.0738016 | − | 1.36119i | −0.693756 | − | 0.720210i | \(-0.744046\pi\) |
0.767558 | − | 0.640980i | \(-0.221472\pi\) | |||||||
\(500\) | −29.5903 | + | 134.430i | −0.0591807 | + | 0.268860i | ||||
\(501\) | −281.143 | + | 54.4763i | −0.561163 | + | 0.108735i | ||||
\(502\) | 22.6179 | − | 7.62085i | 0.0450555 | − | 0.0151810i | ||||
\(503\) | 63.6749 | − | 289.278i | 0.126590 | − | 0.575105i | −0.870033 | − | 0.492994i | \(-0.835903\pi\) |
0.996623 | − | 0.0821115i | \(-0.0261664\pi\) | |||||||
\(504\) | −30.5928 | − | 10.1843i | −0.0607001 | − | 0.0202069i | ||||
\(505\) | −330.602 | + | 313.163i | −0.654658 | + | 0.620125i | ||||
\(506\) | −5.93028 | + | 6.26052i | −0.0117199 | + | 0.0123726i | ||||
\(507\) | −335.051 | − | 26.6697i | −0.660851 | − | 0.0526029i | ||||
\(508\) | −38.7608 | + | 236.430i | −0.0763008 | + | 0.465414i | ||||
\(509\) | 578.502 | + | 392.234i | 1.13655 | + | 0.770598i | 0.976288 | − | 0.216477i | \(-0.0694566\pi\) |
0.160259 | + | 0.987075i | \(0.448767\pi\) | |||||||
\(510\) | −734.606 | − | 181.272i | −1.44040 | − | 0.355435i | ||||
\(511\) | 126.573 | − | 76.1562i | 0.247696 | − | 0.149034i | ||||
\(512\) | −4.86423 | − | 22.0984i | −0.00950044 | − | 0.0431609i | ||||
\(513\) | 242.880 | + | 58.9978i | 0.473451 | + | 0.115005i | ||||
\(514\) | −581.446 | − | 269.005i | −1.13122 | − | 0.523357i | ||||
\(515\) | 369.791 | − | 102.672i | 0.718041 | − | 0.199363i | ||||
\(516\) | 38.8873 | + | 68.4906i | 0.0753629 | + | 0.132734i | ||||
\(517\) | 288.693 | − | 31.3973i | 0.558401 | − | 0.0607297i | ||||
\(518\) | 28.7251 | + | 15.2291i | 0.0554539 | + | 0.0293998i | ||||
\(519\) | 32.1390 | + | 128.238i | 0.0619248 | + | 0.247088i | ||||
\(520\) | −43.8531 | + | 157.945i | −0.0843329 | + | 0.303740i | ||||
\(521\) | 689.367 | + | 585.554i | 1.32316 | + | 1.12390i | 0.983014 | + | 0.183531i | \(0.0587527\pi\) |
0.340147 | + | 0.940372i | \(0.389523\pi\) | |||||||
\(522\) | −11.1567 | − | 49.8225i | −0.0213730 | − | 0.0954454i | ||||
\(523\) | 174.296 | + | 257.067i | 0.333262 | + | 0.491524i | 0.956992 | − | 0.290116i | \(-0.0936938\pi\) |
−0.623730 | + | 0.781640i | \(0.714383\pi\) | |||||||
\(524\) | 204.375 | + | 441.748i | 0.390028 | + | 0.843031i | ||||
\(525\) | −108.615 | + | 69.7033i | −0.206885 | + | 0.132768i | ||||
\(526\) | −215.789 | + | 541.590i | −0.410245 | + | 1.02964i | ||||
\(527\) | −125.072 | + | 164.529i | −0.237327 | + | 0.312199i | ||||
\(528\) | −32.0455 | − | 25.6632i | −0.0606923 | − | 0.0486046i | ||||
\(529\) | −498.298 | − | 167.896i | −0.941963 | − | 0.317384i | ||||
\(530\) | 48.8119i | 0.0920979i | ||||||||
\(531\) | −422.669 | + | 321.422i | −0.795987 | + | 0.605314i | ||||
\(532\) | −23.4510 | −0.0440809 | ||||||||
\(533\) | 53.0672 | − | 157.498i | 0.0995632 | − | 0.295493i | ||||
\(534\) | −192.306 | + | 240.131i | −0.360123 | + | 0.449684i | ||||
\(535\) | 380.651 | + | 289.363i | 0.711497 | + | 0.540866i | ||||
\(536\) | 73.3105 | + | 29.2096i | 0.136773 | + | 0.0544955i | ||||
\(537\) | 497.503 | + | 775.229i | 0.926449 | + | 1.44363i | ||||
\(538\) | −310.847 | + | 143.813i | −0.577782 | + | 0.267310i | ||||
\(539\) | −134.212 | + | 90.9979i | −0.249002 | + | 0.168827i | ||||
\(540\) | 35.9047 | + | 413.094i | 0.0664902 | + | 0.764989i | ||||
\(541\) | 309.411 | − | 364.267i | 0.571924 | − | 0.673321i | −0.397815 | − | 0.917466i | \(-0.630231\pi\) |
0.969739 | + | 0.244145i | \(0.0785072\pi\) | |||||||
\(542\) | −289.691 | − | 80.4322i | −0.534485 | − | 0.148399i | ||||
\(543\) | −58.3880 | + | 14.6331i | −0.107529 | + | 0.0269487i | ||||
\(544\) | 61.5409 | − | 116.078i | 0.113127 | − | 0.213379i | ||||
\(545\) | 65.4741 | + | 602.025i | 0.120136 | + | 1.10463i | ||||
\(546\) | −35.2704 | + | 20.0257i | −0.0645978 | + | 0.0366771i | ||||
\(547\) | −86.0785 | − | 310.027i | −0.157365 | − | 0.566777i | −0.999616 | − | 0.0276922i | \(-0.991184\pi\) |
0.842252 | − | 0.539084i | \(-0.181230\pi\) | |||||||
\(548\) | 182.688 | − | 394.874i | 0.333373 | − | 0.720573i | ||||
\(549\) | 91.6448 | − | 872.132i | 0.166930 | − | 1.58858i | ||||
\(550\) | −160.484 | + | 35.3252i | −0.291789 | + | 0.0642277i | ||||
\(551\) | −19.1445 | − | 31.8184i | −0.0347450 | − | 0.0577467i | ||||
\(552\) | −3.62312 | + | 14.6827i | −0.00656362 | + | 0.0265991i | ||||
\(553\) | −1.76751 | + | 2.60689i | −0.00319623 | + | 0.00471408i | ||||
\(554\) | −473.519 | − | 77.6296i | −0.854728 | − | 0.140126i | ||||
\(555\) | 33.1761 | − | 416.792i | 0.0597768 | − | 0.750977i | ||||
\(556\) | −216.349 | − | 204.936i | −0.389116 | − | 0.368590i | ||||
\(557\) | 648.754 | + | 684.881i | 1.16473 | + | 1.22959i | 0.968495 | + | 0.249032i | \(0.0801125\pi\) |
0.196234 | + | 0.980557i | \(0.437129\pi\) | |||||||
\(558\) | 107.461 | + | 35.7734i | 0.192582 | + | 0.0641101i | ||||
\(559\) | 96.7560 | + | 21.2976i | 0.173088 | + | 0.0380995i | ||||
\(560\) | −12.4224 | − | 36.8683i | −0.0221828 | − | 0.0658363i | ||||
\(561\) | −45.3470 | − | 234.028i | −0.0808324 | − | 0.417162i | ||||
\(562\) | −560.724 | − | 123.425i | −0.997730 | − | 0.219617i | ||||
\(563\) | 693.807 | + | 37.6171i | 1.23234 | + | 0.0668155i | 0.658772 | − | 0.752343i | \(-0.271076\pi\) |
0.573568 | + | 0.819158i | \(0.305559\pi\) | |||||||
\(564\) | 413.090 | − | 297.861i | 0.732429 | − | 0.528123i | ||||
\(565\) | 179.190 | + | 169.738i | 0.317150 | + | 0.300421i | ||||
\(566\) | 308.196 | − | 16.7099i | 0.544516 | − | 0.0295228i | ||||
\(567\) | −65.8506 | + | 78.6770i | −0.116139 | + | 0.138760i | ||||
\(568\) | 105.268 | − | 155.259i | 0.185332 | − | 0.273344i | ||||
\(569\) | −60.9614 | + | 560.531i | −0.107138 | + | 0.985116i | 0.809968 | + | 0.586473i | \(0.199484\pi\) |
−0.917106 | + | 0.398643i | \(0.869481\pi\) | |||||||
\(570\) | 119.675 | + | 276.819i | 0.209957 | + | 0.485647i | ||||
\(571\) | 429.672 | − | 94.5780i | 0.752490 | − | 0.165636i | 0.177868 | − | 0.984054i | \(-0.443080\pi\) |
0.574622 | + | 0.818419i | \(0.305149\pi\) | |||||||
\(572\) | −50.9627 | + | 8.35491i | −0.0890956 | + | 0.0146065i | ||||
\(573\) | −765.112 | − | 487.094i | −1.33527 | − | 0.850077i | ||||
\(574\) | 10.5528 | + | 38.0078i | 0.0183847 | + | 0.0662156i | ||||
\(575\) | 36.6321 | + | 48.1887i | 0.0637080 | + | 0.0838064i | ||||
\(576\) | −71.0934 | − | 11.3900i | −0.123426 | − | 0.0197744i | ||||
\(577\) | 141.435 | − | 266.775i | 0.245121 | − | 0.462348i | −0.730171 | − | 0.683264i | \(-0.760560\pi\) |
0.975293 | + | 0.220916i | \(0.0709046\pi\) | |||||||
\(578\) | 328.996 | − | 131.084i | 0.569197 | − | 0.226789i | ||||
\(579\) | −284.390 | − | 121.724i | −0.491174 | − | 0.210231i | ||||
\(580\) | 39.8819 | − | 46.9526i | 0.0687619 | − | 0.0809527i | ||||
\(581\) | 84.8171 | − | 44.9672i | 0.145985 | − | 0.0773962i | ||||
\(582\) | −287.956 | − | 577.970i | −0.494770 | − | 0.993075i | ||||
\(583\) | −13.9569 | + | 6.45715i | −0.0239398 | + | 0.0110757i | ||||
\(584\) | 251.402 | − | 213.543i | 0.430483 | − | 0.365656i | ||||
\(585\) | 416.377 | + | 314.141i | 0.711756 | + | 0.536993i | ||||
\(586\) | 471.075 | + | 358.102i | 0.803882 | + | 0.611095i | ||||
\(587\) | −187.539 | + | 311.692i | −0.319487 | + | 0.530992i | −0.974431 | − | 0.224685i | \(-0.927865\pi\) |
0.654944 | + | 0.755677i | \(0.272692\pi\) | |||||||
\(588\) | −125.887 | + | 254.992i | −0.214094 | + | 0.433659i | ||||
\(589\) | 82.3743 | 0.139854 | ||||||||
\(590\) | −616.753 | − | 173.540i | −1.04534 | − | 0.294135i | ||||
\(591\) | −572.493 | − | 76.9414i | −0.968685 | − | 0.130188i | ||||
\(592\) | 68.8002 | + | 23.1815i | 0.116216 | + | 0.0391579i | ||||
\(593\) | 53.6771 | − | 89.2120i | 0.0905179 | − | 0.150442i | −0.808290 | − | 0.588784i | \(-0.799607\pi\) |
0.898808 | + | 0.438342i | \(0.144434\pi\) | |||||||
\(594\) | −113.367 | + | 64.9131i | −0.190854 | + | 0.109281i | ||||
\(595\) | 83.6126 | − | 209.852i | 0.140525 | − | 0.352692i | ||||
\(596\) | −364.055 | + | 309.231i | −0.610831 | + | 0.518844i | ||||
\(597\) | −112.637 | − | 364.477i | −0.188671 | − | 0.610514i | ||||
\(598\) | 10.6757 | + | 15.7454i | 0.0178523 | + | 0.0263301i | ||||
\(599\) | 695.712 | − | 368.843i | 1.16146 | − | 0.615765i | 0.227720 | − | 0.973727i | \(-0.426873\pi\) |
0.933736 | + | 0.357962i | \(0.116528\pi\) | |||||||
\(600\) | −214.161 | + | 192.836i | −0.356935 | + | 0.321393i | ||||
\(601\) | 193.605 | − | 697.301i | 0.322138 | − | 1.16024i | −0.608276 | − | 0.793725i | \(-0.708139\pi\) |
0.930414 | − | 0.366510i | \(-0.119447\pi\) | |||||||
\(602\) | −21.8439 | + | 8.70340i | −0.0362855 | + | 0.0144575i | ||||
\(603\) | 172.023 | − | 182.929i | 0.285278 | − | 0.303365i | ||||
\(604\) | 401.228 | − | 43.6362i | 0.664285 | − | 0.0722454i | ||||
\(605\) | 507.891 | + | 668.119i | 0.839489 | + | 1.10433i | ||||
\(606\) | −249.239 | + | 34.4195i | −0.411285 | + | 0.0567978i | ||||
\(607\) | −28.0670 | − | 12.9852i | −0.0462389 | − | 0.0213924i | 0.396633 | − | 0.917977i | \(-0.370178\pi\) |
−0.442872 | + | 0.896585i | \(0.646040\pi\) | |||||||
\(608\) | −51.6765 | + | 8.47194i | −0.0849943 | + | 0.0139341i | ||||
\(609\) | 15.1904 | − | 1.26470i | 0.0249431 | − | 0.00207668i | ||||
\(610\) | 906.646 | − | 545.511i | 1.48630 | − | 0.894280i | ||||
\(611\) | 69.2632 | − | 636.864i | 0.113360 | − | 1.04233i | ||||
\(612\) | −271.801 | − | 317.642i | −0.444119 | − | 0.519023i | ||||
\(613\) | 88.5245 | − | 539.976i | 0.144412 | − | 0.880874i | −0.810881 | − | 0.585212i | \(-0.801011\pi\) |
0.955293 | − | 0.295662i | \(-0.0955403\pi\) | |||||||
\(614\) | −248.637 | + | 13.4807i | −0.404947 | + | 0.0219556i | ||||
\(615\) | 394.795 | − | 318.528i | 0.641944 | − | 0.517932i | ||||
\(616\) | 8.89854 | − | 8.42915i | 0.0144457 | − | 0.0136837i | ||||
\(617\) | 83.9810 | + | 4.55332i | 0.136112 | + | 0.00737977i | 0.122069 | − | 0.992522i | \(-0.461047\pi\) |
0.0140429 | + | 0.999901i | \(0.495530\pi\) | |||||||
\(618\) | 199.171 | + | 72.7613i | 0.322283 | + | 0.117737i | ||||
\(619\) | 310.343 | − | 104.567i | 0.501361 | − | 0.168928i | −0.0572468 | − | 0.998360i | \(-0.518232\pi\) |
0.558608 | + | 0.829432i | \(0.311336\pi\) | |||||||
\(620\) | 43.6350 | + | 129.504i | 0.0703790 | + | 0.208877i | ||||
\(621\) | 39.2362 | + | 27.8604i | 0.0631823 | + | 0.0448638i | ||||
\(622\) | −7.65298 | + | 141.151i | −0.0123038 | + | 0.226931i | ||||
\(623\) | −63.1633 | − | 66.6807i | −0.101386 | − | 0.107032i | ||||
\(624\) | −70.4871 | + | 56.8703i | −0.112960 | + | 0.0911382i | ||||
\(625\) | −17.3565 | − | 320.121i | −0.0277704 | − | 0.512194i | ||||
\(626\) | 157.737 | + | 25.8596i | 0.251976 | + | 0.0413093i | ||||
\(627\) | −63.3201 | + | 70.8385i | −0.100989 | + | 0.112980i | ||||
\(628\) | −263.416 | − | 28.6483i | −0.419453 | − | 0.0456182i | ||||
\(629\) | 217.329 | + | 361.204i | 0.345515 | + | 0.574251i | ||||
\(630\) | −123.637 | − | 6.25289i | −0.196248 | − | 0.00992522i | ||||
\(631\) | −43.2358 | − | 263.726i | −0.0685194 | − | 0.417950i | −0.998706 | − | 0.0508621i | \(-0.983803\pi\) |
0.930186 | − | 0.367088i | \(-0.119645\pi\) | |||||||
\(632\) | −2.95312 | + | 6.38306i | −0.00467265 | + | 0.0100998i | ||||
\(633\) | 652.935 | − | 90.1692i | 1.03149 | − | 0.142447i | ||||
\(634\) | 456.927 | − | 347.347i | 0.720706 | − | 0.547866i | ||||
\(635\) | 99.4544 | + | 914.469i | 0.156621 | + | 1.44011i | ||||
\(636\) | −15.6940 | + | 21.9328i | −0.0246761 | + | 0.0344856i | ||||
\(637\) | 132.403 | + | 332.307i | 0.207854 | + | 0.521675i | ||||
\(638\) | 18.7011 | + | 5.19234i | 0.0293121 | + | 0.00813846i | ||||
\(639\) | −336.755 | − | 492.812i | −0.527003 | − | 0.771223i | ||||
\(640\) | −40.6930 | − | 76.7551i | −0.0635828 | − | 0.119930i | ||||
\(641\) | −468.021 | + | 317.326i | −0.730143 | + | 0.495049i | −0.868721 | − | 0.495302i | \(-0.835057\pi\) |
0.138578 | + | 0.990352i | \(0.455747\pi\) | |||||||
\(642\) | 78.0033 | + | 252.408i | 0.121500 | + | 0.393159i | ||||
\(643\) | −35.1922 | − | 41.4314i | −0.0547312 | − | 0.0644346i | 0.734115 | − | 0.679025i | \(-0.237597\pi\) |
−0.788846 | + | 0.614590i | \(0.789321\pi\) | |||||||
\(644\) | −4.19435 | − | 1.67118i | −0.00651297 | − | 0.00259500i | ||||
\(645\) | 214.210 | + | 213.433i | 0.332108 | + | 0.330904i | ||||
\(646\) | −260.534 | − | 156.758i | −0.403304 | − | 0.242660i | ||||
\(647\) | −126.357 | + | 375.015i | −0.195297 | + | 0.579621i | −0.999899 | − | 0.0141934i | \(-0.995482\pi\) |
0.804602 | + | 0.593814i | \(0.202379\pi\) | |||||||
\(648\) | −116.685 | + | 197.161i | −0.180069 | + | 0.304261i | ||||
\(649\) | −31.9674 | − | 199.307i | −0.0492564 | − | 0.307098i | ||||
\(650\) | 362.507i | 0.557703i | ||||||||
\(651\) | −14.9687 | + | 30.3198i | −0.0229933 | + | 0.0465742i | ||||
\(652\) | 167.159 | + | 100.576i | 0.256379 | + | 0.154258i | ||||
\(653\) | −47.4876 | + | 62.4688i | −0.0727222 | + | 0.0956644i | −0.831016 | − | 0.556249i | \(-0.812240\pi\) |
0.758294 | + | 0.651913i | \(0.226033\pi\) | |||||||
\(654\) | −164.143 | + | 291.561i | −0.250984 | + | 0.445813i | ||||
\(655\) | 1209.81 | + | 1424.29i | 1.84703 | + | 2.17449i | ||||
\(656\) | 36.9848 | + | 79.9414i | 0.0563793 | + | 0.121862i | ||||
\(657\) | −338.748 | − | 993.423i | −0.515598 | − | 1.51206i | ||||
\(658\) | 71.2194 | + | 134.334i | 0.108236 | + | 0.204155i | ||||
\(659\) | −255.172 | − | 216.745i | −0.387210 | − | 0.328899i | 0.432546 | − | 0.901612i | \(-0.357615\pi\) |
−0.819756 | + | 0.572712i | \(0.805891\pi\) | |||||||
\(660\) | −144.910 | − | 62.0239i | −0.219560 | − | 0.0939756i | ||||
\(661\) | 394.930 | + | 991.200i | 0.597474 | + | 1.49955i | 0.847224 | + | 0.531236i | \(0.178272\pi\) |
−0.249751 | + | 0.968310i | \(0.580349\pi\) | |||||||
\(662\) | 447.825 | + | 237.422i | 0.676473 | + | 0.358643i | ||||
\(663\) | −525.706 | − | 13.2852i | −0.792920 | − | 0.0200381i | ||||
\(664\) | 170.658 | − | 129.731i | 0.257014 | − | 0.195377i | ||||
\(665\) | −86.7552 | + | 24.0875i | −0.130459 | + | 0.0362218i | ||||
\(666\) | 148.914 | − | 176.612i | 0.223595 | − | 0.265183i | ||||
\(667\) | −1.15664 | − | 7.05520i | −0.00173409 | − | 0.0105775i | ||||
\(668\) | −41.0410 | − | 186.451i | −0.0614386 | − | 0.279118i | ||||
\(669\) | 321.586 | + | 743.856i | 0.480697 | + | 1.11189i | ||||
\(670\) | 301.209 | + | 32.7584i | 0.449566 | + | 0.0488932i | ||||
\(671\) | 275.916 | + | 187.076i | 0.411202 | + | 0.278802i | ||||
\(672\) | 6.27211 | − | 20.5602i | 0.00933350 | − | 0.0305956i | ||||
\(673\) | 0.553065 | + | 10.2007i | 0.000821790 | + | 0.0151570i | 0.998916 | − | 0.0465588i | \(-0.0148255\pi\) |
−0.998094 | + | 0.0617159i | \(0.980343\pi\) | |||||||
\(674\) | −288.533 | + | 304.601i | −0.428091 | + | 0.451930i | ||||
\(675\) | 320.911 | + | 859.014i | 0.475423 | + | 1.27261i | ||||
\(676\) | 12.1311 | − | 223.746i | 0.0179455 | − | 0.330985i | ||||
\(677\) | −217.478 | + | 988.011i | −0.321237 | + | 1.45940i | 0.488479 | + | 0.872576i | \(0.337552\pi\) |
−0.809717 | + | 0.586821i | \(0.800379\pi\) | |||||||
\(678\) | 25.9420 | + | 133.882i | 0.0382625 | + | 0.197466i | ||||
\(679\) | 182.692 | − | 61.5560i | 0.269060 | − | 0.0906569i | ||||
\(680\) | 108.437 | − | 492.634i | 0.159466 | − | 0.724462i | ||||
\(681\) | 3.11257 | − | 16.3819i | 0.00457058 | − | 0.0240557i | ||||
\(682\) | −31.2571 | + | 29.6083i | −0.0458315 | + | 0.0434139i | ||||
\(683\) | −113.257 | + | 119.564i | −0.165823 | + | 0.175057i | −0.803611 | − | 0.595155i | \(-0.797091\pi\) |
0.637788 | + | 0.770212i | \(0.279849\pi\) | |||||||
\(684\) | −35.2287 | + | 162.862i | −0.0515040 | + | 0.238103i | ||||
\(685\) | 270.250 | − | 1648.45i | 0.394526 | − | 2.40650i | ||||
\(686\) | −142.920 | − | 96.9023i | −0.208339 | − | 0.141257i | ||||
\(687\) | 16.5585 | − | 67.1036i | 0.0241026 | − | 0.0976763i | ||||
\(688\) | −44.9909 | + | 27.0701i | −0.0653937 | + | 0.0393461i | ||||
\(689\) | 7.29282 | + | 33.1316i | 0.0105846 | + | 0.0480865i | ||||
\(690\) | 1.67777 | + | 58.0391i | 0.00243155 | + | 0.0841146i | ||||
\(691\) | 724.049 | + | 334.981i | 1.04783 | + | 0.484777i | 0.866776 | − | 0.498697i | \(-0.166188\pi\) |
0.181051 | + | 0.983474i | \(0.442050\pi\) | |||||||
\(692\) | −84.9237 | + | 23.5790i | −0.122722 | + | 0.0340736i | ||||
\(693\) | −14.5675 | − | 36.1789i | −0.0210210 | − | 0.0522062i | ||||
\(694\) | 26.4371 | − | 2.87520i | 0.0380937 | − | 0.00414294i | ||||
\(695\) | −1010.86 | − | 535.926i | −1.45448 | − | 0.771116i | ||||
\(696\) | 33.0165 | − | 8.27456i | 0.0474375 | − | 0.0118887i | ||||
\(697\) | −136.824 | + | 492.796i | −0.196304 | + | 0.707024i | ||||
\(698\) | −143.008 | − | 121.472i | −0.204883 | − | 0.174029i | ||||
\(699\) | 238.913 | + | 646.681i | 0.341793 | + | 0.925151i | ||||
\(700\) | −48.2834 | − | 71.2126i | −0.0689762 | − | 0.101732i | ||||
\(701\) | 380.948 | + | 823.405i | 0.543435 | + | 1.17461i | 0.963644 | + | 0.267188i | \(0.0860944\pi\) |
−0.420210 | + | 0.907427i | \(0.638044\pi\) | |||||||
\(702\) | 86.0898 | + | 275.028i | 0.122635 | + | 0.391778i | ||||
\(703\) | 62.1901 | − | 156.085i | 0.0884639 | − | 0.222028i | ||||
\(704\) | 16.5636 | − | 21.7891i | 0.0235279 | − | 0.0309504i | ||||
\(705\) | 1222.25 | − | 1526.22i | 1.73369 | − | 2.16485i | ||||
\(706\) | 647.393 | + | 218.132i | 0.916988 | + | 0.308969i | ||||
\(707\) | − | 75.1167i | − | 0.106247i | ||||||
\(708\) | −221.332 | − | 276.276i | −0.312615 | − | 0.390220i | ||||
\(709\) | −408.533 | −0.576210 | −0.288105 | − | 0.957599i | \(-0.593025\pi\) | ||||
−0.288105 | + | 0.957599i | \(0.593025\pi\) | |||||||
\(710\) | 229.959 | − | 682.495i | 0.323886 | − | 0.961261i | ||||
\(711\) | 15.4491 | + | 16.1911i | 0.0217286 | + | 0.0227723i | ||||
\(712\) | −163.275 | − | 124.119i | −0.229319 | − | 0.174324i | ||||
\(713\) | 14.7331 | + | 5.87021i | 0.0206636 | + | 0.00823312i | ||||
\(714\) | 105.042 | − | 67.4104i | 0.147117 | − | 0.0944124i | ||||
\(715\) | −179.951 | + | 83.2541i | −0.251680 | + | 0.116439i | ||||
\(716\) | −508.275 | + | 344.619i | −0.709882 | + | 0.481312i | ||||
\(717\) | −290.758 | − | 787.014i | −0.405521 | − | 1.09765i | ||||
\(718\) | −461.966 | + | 543.868i | −0.643407 | + | 0.757477i | ||||
\(719\) | −755.397 | − | 209.735i | −1.05062 | − | 0.291704i | −0.301037 | − | 0.953612i | \(-0.597333\pi\) |
−0.749584 | + | 0.661909i | \(0.769747\pi\) | |||||||
\(720\) | −274.704 | + | 30.8862i | −0.381533 | + | 0.0428975i | ||||
\(721\) | −29.6532 | + | 55.9319i | −0.0411279 | + | 0.0775754i | ||||
\(722\) | −42.0951 | − | 387.058i | −0.0583034 | − | 0.536091i | ||||
\(723\) | −229.450 | − | 404.120i | −0.317358 | − | 0.558949i | ||||
\(724\) | −10.7357 | − | 38.6665i | −0.0148283 | − | 0.0534067i | ||||
\(725\) | 57.2048 | − | 123.646i | 0.0789032 | − | 0.170546i | ||||
\(726\) | 13.3988 | + | 463.506i | 0.0184557 | + | 0.638438i | ||||
\(727\) | 197.966 | − | 43.5756i | 0.272306 | − | 0.0599390i | −0.0767184 | − | 0.997053i | \(-0.524444\pi\) |
0.349024 | + | 0.937114i | \(0.386513\pi\) | |||||||
\(728\) | −13.9402 | − | 23.1688i | −0.0191486 | − | 0.0318253i | ||||
\(729\) | 447.472 | + | 575.508i | 0.613816 | + | 0.789449i | ||||
\(730\) | 710.705 | − | 1048.21i | 0.973568 | − | 1.43591i | ||||
\(731\) | −300.857 | − | 49.3231i | −0.411570 | − | 0.0674734i | ||||
\(732\) | 582.780 | + | 46.3885i | 0.796147 | + | 0.0633723i | ||||
\(733\) | 173.054 | + | 163.926i | 0.236090 | + | 0.223637i | 0.796593 | − | 0.604516i | \(-0.206633\pi\) |
−0.560503 | + | 0.828153i | \(0.689392\pi\) | |||||||
\(734\) | 375.729 | + | 396.653i | 0.511893 | + | 0.540399i | ||||
\(735\) | −203.799 | + | 1072.63i | −0.277278 | + | 1.45935i | ||||
\(736\) | −9.84638 | − | 2.16735i | −0.0133782 | − | 0.00294477i | ||||
\(737\) | 30.4792 | + | 90.4589i | 0.0413557 | + | 0.122739i | ||||
\(738\) | 279.808 | − | 16.1907i | 0.379144 | − | 0.0219386i | ||||
\(739\) | −938.147 | − | 206.502i | −1.26948 | − | 0.279434i | −0.471366 | − | 0.881938i | \(-0.656239\pi\) |
−0.798116 | + | 0.602504i | \(0.794170\pi\) | |||||||
\(740\) | 278.331 | + | 15.0907i | 0.376124 | + | 0.0203928i | ||||
\(741\) | 122.590 | + | 170.014i | 0.165438 | + | 0.229438i | ||||
\(742\) | −5.84553 | − | 5.53718i | −0.00787808 | − | 0.00746251i | ||||
\(743\) | −1162.56 | + | 63.0321i | −1.56468 | + | 0.0848346i | −0.815983 | − | 0.578076i | \(-0.803804\pi\) |
−0.748699 | + | 0.662910i | \(0.769321\pi\) | |||||||
\(744\) | −22.0315 | + | 72.2201i | −0.0296122 | + | 0.0970700i | ||||
\(745\) | −1029.17 | + | 1517.91i | −1.38144 | + | 2.03747i | ||||
\(746\) | −34.3173 | + | 315.543i | −0.0460018 | + | 0.422979i | ||||
\(747\) | −184.873 | − | 656.587i | −0.247487 | − | 0.878965i | ||||
\(748\) | 155.205 | − | 34.1632i | 0.207493 | − | 0.0456727i | ||||
\(749\) | −77.8339 | + | 12.7602i | −0.103917 | + | 0.0170363i | ||||
\(750\) | −156.813 | + | 246.316i | −0.209083 | + | 0.328421i | ||||
\(751\) | −288.262 | − | 1038.22i | −0.383837 | − | 1.38246i | −0.863210 | − | 0.504845i | \(-0.831550\pi\) |
0.479373 | − | 0.877611i | \(-0.340864\pi\) | |||||||
\(752\) | 205.468 | + | 270.289i | 0.273229 | + | 0.359427i | ||||
\(753\) | 50.6139 | + | 1.27908i | 0.0672164 | + | 0.00169864i | ||||
\(754\) | 20.0553 | − | 37.8282i | 0.0265985 | − | 0.0501701i | ||||
\(755\) | 1439.49 | − | 573.546i | 1.90661 | − | 0.759664i | ||||
\(756\) | −53.5437 | − | 42.5613i | −0.0708250 | − | 0.0562980i | ||||
\(757\) | −655.028 | + | 771.159i | −0.865295 | + | 1.01870i | 0.134320 | + | 0.990938i | \(0.457115\pi\) |
−0.999614 | + | 0.0277654i | \(0.991161\pi\) | |||||||
\(758\) | 832.702 | − | 441.471i | 1.09855 | − | 0.582415i | ||||
\(759\) | −16.3733 | + | 8.15751i | −0.0215722 | + | 0.0107477i | ||||
\(760\) | −182.471 | + | 84.4203i | −0.240094 | + | 0.111079i | ||||
\(761\) | −1018.36 | + | 865.007i | −1.33819 | + | 1.13667i | −0.359090 | + | 0.933303i | \(0.616913\pi\) |
−0.979102 | + | 0.203368i | \(0.934811\pi\) | |||||||
\(762\) | −249.332 | + | 442.878i | −0.327207 | + | 0.581205i | ||||
\(763\) | −79.5236 | − | 60.4523i | −0.104225 | − | 0.0792297i | ||||
\(764\) | 311.740 | − | 518.115i | 0.408036 | − | 0.678162i | ||||
\(765\) | −1331.77 | − | 895.916i | −1.74088 | − | 1.17113i | ||||
\(766\) | 505.909 | 0.660456 | ||||||||
\(767\) | −444.556 | − | 25.6451i | −0.579604 | − | 0.0334356i | ||||
\(768\) | 6.39358 | − | 47.5723i | 0.00832497 | − | 0.0619431i | ||||
\(769\) | −1200.53 | − | 404.507i | −1.56116 | − | 0.526017i | −0.599529 | − | 0.800353i | \(-0.704645\pi\) |
−0.961634 | + | 0.274336i | \(0.911542\pi\) | |||||||
\(770\) | 24.2615 | − | 40.3230i | 0.0315085 | − | 0.0523675i | ||||
\(771\) | −962.732 | − | 959.240i | −1.24868 | − | 1.24415i | ||||
\(772\) | 76.3336 | − | 191.583i | 0.0988777 | − | 0.248164i | ||||
\(773\) | 649.441 | − | 551.640i | 0.840157 | − | 0.713636i | −0.120098 | − | 0.992762i | \(-0.538321\pi\) |
0.960254 | + | 0.279126i | \(0.0900449\pi\) | |||||||
\(774\) | 27.6288 | + | 164.775i | 0.0356961 | + | 0.212888i | ||||
\(775\) | 169.601 | + | 250.142i | 0.218839 | + | 0.322764i | ||||
\(776\) | 380.340 | − | 201.644i | 0.490129 | − | 0.259850i | ||||
\(777\) | 46.1500 | + | 51.2536i | 0.0593951 | + | 0.0659635i | ||||
\(778\) | −5.59198 | + | 20.1405i | −0.00718763 | + | 0.0258875i | ||||
\(779\) | 189.370 | − | 75.4519i | 0.243094 | − | 0.0968574i | ||||
\(780\) | −202.348 | + | 282.787i | −0.259420 | + | 0.362548i | ||||
\(781\) | 225.568 | − | 24.5320i | 0.288820 | − | 0.0314110i | ||||
\(782\) | −35.4271 | − | 46.6035i | −0.0453032 | − | 0.0595953i | ||||
\(783\) | 14.0363 | − | 107.394i | 0.0179263 | − | 0.137157i | ||||
\(784\) | −172.060 | − | 79.6036i | −0.219465 | − | 0.101535i | ||||
\(785\) | −1003.91 | + | 164.583i | −1.27887 | + | 0.209660i | ||||
\(786\) | 85.6676 | + | 1028.96i | 0.108992 | + | 1.30911i | ||||
\(787\) | −269.023 | + | 161.866i | −0.341834 | + | 0.205674i | −0.676110 | − | 0.736801i | \(-0.736336\pi\) |
0.334277 | + | 0.942475i | \(0.391508\pi\) | |||||||
\(788\) | 41.6359 | − | 382.836i | 0.0528375 | − | 0.485832i | ||||
\(789\) | −824.194 | + | 922.055i | −1.04461 | + | 1.16864i | ||||
\(790\) | −4.36853 | + | 26.6469i | −0.00552979 | + | 0.0337302i | ||||
\(791\) | −40.6543 | + | 2.20421i | −0.0513961 | + | 0.00278662i | ||||
\(792\) | −45.1709 | − | 74.4609i | −0.0570340 | − | 0.0940162i | ||||
\(793\) | 533.893 | − | 505.731i | 0.673258 | − | 0.637744i | ||||
\(794\) | 855.608 | + | 46.3897i | 1.07759 | + | 0.0584253i | ||||
\(795\) | −35.5307 | + | 97.2588i | −0.0446927 | + | 0.122338i | ||||
\(796\) | 241.010 | − | 81.2058i | 0.302777 | − | 0.102017i | ||||
\(797\) | 432.449 | + | 1283.46i | 0.542596 | + | 1.61037i | 0.771023 | + | 0.636808i | \(0.219745\pi\) |
−0.228426 | + | 0.973561i | \(0.573358\pi\) | |||||||
\(798\) | −46.7267 | − | 17.0702i | −0.0585548 | − | 0.0213913i | ||||
\(799\) | −106.728 | + | 1968.48i | −0.133577 | + | 2.46368i | ||||
\(800\) | −132.123 | − | 139.481i | −0.165154 | − | 0.174351i | ||||
\(801\) | −557.968 | + | 338.486i | −0.696589 | + | 0.422579i | ||||
\(802\) | −2.02562 | − | 37.3604i | −0.00252572 | − | 0.0465841i | ||||
\(803\) | 393.734 | + | 64.5495i | 0.490329 | + | 0.0803854i | ||||
\(804\) | 124.811 | + | 111.564i | 0.155237 | + | 0.138762i | ||||
\(805\) | −17.2332 | − | 1.87423i | −0.0214077 | − | 0.00232823i | ||||
\(806\) | 48.9665 | + | 81.3830i | 0.0607525 | + | 0.100971i | ||||
\(807\) | −724.052 | + | 60.2820i | −0.897214 | + | 0.0746989i | ||||
\(808\) | −27.1367 | − | 165.527i | −0.0335850 | − | 0.204860i | ||||
\(809\) | −144.270 | + | 311.834i | −0.178331 | + | 0.385456i | −0.976041 | − | 0.217585i | \(-0.930182\pi\) |
0.797711 | + | 0.603040i | \(0.206044\pi\) | |||||||
\(810\) | −229.155 | + | 849.235i | −0.282907 | + | 1.04844i | ||||
\(811\) | 362.106 | − | 275.266i | 0.446493 | − | 0.339415i | −0.357645 | − | 0.933858i | \(-0.616420\pi\) |
0.804138 | + | 0.594442i | \(0.202627\pi\) | |||||||
\(812\) | 1.09870 | + | 10.1024i | 0.00135308 | + | 0.0124413i | ||||
\(813\) | −518.668 | − | 371.132i | −0.637968 | − | 0.456497i | ||||
\(814\) | 32.5046 | + | 81.5803i | 0.0399319 | + | 0.100222i | ||||
\(815\) | 721.698 | + | 200.378i | 0.885519 | + | 0.245863i | ||||
\(816\) | 207.116 | − | 186.493i | 0.253819 | − | 0.228545i | ||||
\(817\) | 56.9191 | + | 107.361i | 0.0696684 | + | 0.131409i | ||||
\(818\) | −675.736 | + | 458.161i | −0.826084 | + | 0.560099i | ||||
\(819\) | −84.8540 | + | 14.2279i | −0.103607 | + | 0.0173723i | ||||
\(820\) | 218.933 | + | 257.748i | 0.266992 | + | 0.314327i | ||||
\(821\) | −1301.86 | − | 518.709i | −1.58570 | − | 0.631802i | −0.599956 | − | 0.800033i | \(-0.704815\pi\) |
−0.985748 | + | 0.168231i | \(0.946195\pi\) | |||||||
\(822\) | 651.444 | − | 653.815i | 0.792511 | − | 0.795396i | ||||
\(823\) | 1354.21 | + | 814.801i | 1.64546 | + | 0.990038i | 0.966784 | + | 0.255596i | \(0.0822715\pi\) |
0.678671 | + | 0.734442i | \(0.262556\pi\) | |||||||
\(824\) | −45.1376 | + | 133.964i | −0.0547787 | + | 0.162577i | ||||
\(825\) | −345.482 | − | 46.4318i | −0.418766 | − | 0.0562809i | ||||
\(826\) | 90.7465 | − | 54.1739i | 0.109863 | − | 0.0655858i | ||||
\(827\) | 245.830i | 0.297255i | 0.988893 | + | 0.148627i | \(0.0474855\pi\) | ||||
−0.988893 | + | 0.148627i | \(0.952515\pi\) | |||||||
\(828\) | −17.9069 | + | 26.6184i | −0.0216266 | + | 0.0321478i | ||||
\(829\) | −593.942 | − | 357.363i | −0.716456 | − | 0.431077i | 0.110108 | − | 0.993920i | \(-0.464880\pi\) |
−0.826564 | + | 0.562842i | \(0.809708\pi\) | |||||||
\(830\) | 498.083 | − | 655.217i | 0.600100 | − | 0.789418i | ||||
\(831\) | −886.991 | − | 499.358i | −1.06738 | − | 0.600913i | ||||
\(832\) | −39.0886 | − | 46.0186i | −0.0469814 | − | 0.0553108i | ||||
\(833\) | −462.207 | − | 999.045i | −0.554871 | − | 1.19933i | ||||
\(834\) | −281.904 | − | 565.823i | −0.338015 | − | 0.678444i | ||||
\(835\) | −343.339 | − | 647.606i | −0.411185 | − | 0.775577i | ||||
\(836\) | −48.2770 | − | 41.0069i | −0.0577476 | − | 0.0490513i | ||||
\(837\) | 188.078 | + | 149.501i | 0.224705 | + | 0.178615i | ||||
\(838\) | −43.7170 | − | 109.721i | −0.0521683 | − | 0.130932i | ||||
\(839\) | 15.7877 | + | 8.37012i | 0.0188173 | + | 0.00997631i | 0.477791 | − | 0.878474i | \(-0.341438\pi\) |
−0.458973 | + | 0.888450i | \(0.651783\pi\) | |||||||
\(840\) | 2.08496 | − | 82.5033i | 0.00248210 | − | 0.0982183i | ||||
\(841\) | 656.704 | − | 499.214i | 0.780861 | − | 0.593595i | ||||
\(842\) | −128.847 | + | 35.7741i | −0.153024 | + | 0.0424870i | ||||
\(843\) | −1027.41 | − | 654.084i | −1.21876 | − | 0.775900i | ||||
\(844\) | 71.0904 | + | 433.632i | 0.0842304 | + | 0.513782i | ||||
\(845\) | −184.940 | − | 840.190i | −0.218864 | − | 0.994307i | ||||
\(846\) | 1039.91 | − | 292.803i | 1.22920 | − | 0.346103i | ||||
\(847\) | −137.626 | − | 14.9678i | −0.162487 | − | 0.0176715i | ||||
\(848\) | −14.8815 | − | 10.0899i | −0.0175490 | − | 0.0118985i | ||||
\(849\) | 626.251 | + | 191.044i | 0.737633 | + | 0.225023i | ||||
\(850\) | −60.3940 | − | 1113.90i | −0.0710518 | − | 1.31047i | ||||
\(851\) | 22.2461 | − | 23.4850i | 0.0261412 | − | 0.0275969i | ||||
\(852\) | 322.765 | − | 232.732i | 0.378832 | − | 0.273159i | ||||
\(853\) | −73.2298 | + | 1350.65i | −0.0858498 | + | 1.58341i | 0.565578 | + | 0.824695i | \(0.308653\pi\) |
−0.651428 | + | 0.758711i | \(0.725830\pi\) | |||||||
\(854\) | −37.5208 | + | 170.459i | −0.0439354 | + | 0.199601i | ||||
\(855\) | 36.9563 | + | 638.681i | 0.0432238 | + | 0.746995i | ||||
\(856\) | −166.904 | + | 56.2367i | −0.194982 | + | 0.0656970i | ||||
\(857\) | 78.6480 | − | 357.302i | 0.0917713 | − | 0.416921i | −0.908227 | − | 0.418477i | \(-0.862564\pi\) |
0.999999 | + | 0.00155554i | \(0.000495144\pi\) | |||||||
\(858\) | −107.626 | − | 20.4489i | −0.125438 | − | 0.0238333i | ||||
\(859\) | −268.671 | + | 254.498i | −0.312772 | + | 0.296273i | −0.827941 | − | 0.560816i | \(-0.810488\pi\) |
0.515169 | + | 0.857088i | \(0.327729\pi\) | |||||||
\(860\) | −138.635 | + | 146.356i | −0.161204 | + | 0.170181i | ||||
\(861\) | −6.63955 | + | 83.4128i | −0.00771145 | + | 0.0968790i | ||||
\(862\) | −48.6479 | + | 296.739i | −0.0564361 | + | 0.344245i | ||||
\(863\) | 17.3909 | + | 11.7913i | 0.0201517 | + | 0.0136632i | 0.571221 | − | 0.820796i | \(-0.306470\pi\) |
−0.551070 | + | 0.834459i | \(0.685780\pi\) | |||||||
\(864\) | −133.364 | − | 74.4445i | −0.154357 | − | 0.0861627i | ||||
\(865\) | −289.950 | + | 174.457i | −0.335202 | + | 0.201684i | ||||
\(866\) | −71.4524 | − | 324.611i | −0.0825085 | − | 0.374840i | ||||
\(867\) | 750.950 | − | 21.7081i | 0.866147 | − | 0.0250382i | ||||
\(868\) | −20.4588 | − | 9.46527i | −0.0235701 | − | 0.0109047i | ||||
\(869\) | −8.19711 | + | 2.27592i | −0.00943281 | + | 0.00261901i | ||||
\(870\) | 113.643 | − | 64.5236i | 0.130624 | − | 0.0741651i | ||||
\(871\) | 209.343 | − | 22.7675i | 0.240348 | − | 0.0261395i | ||||
\(872\) | −197.077 | − | 104.483i | −0.226005 | − | 0.119821i | ||||
\(873\) | −153.049 | − | 1361.22i | −0.175314 | − | 1.55925i | ||||
\(874\) | −6.24221 | + | 22.4824i | −0.00714211 | + | 0.0257236i | ||||
\(875\) | −66.4420 | − | 56.4363i | −0.0759337 | − | 0.0644987i | ||||
\(876\) | 656.365 | − | 242.491i | 0.749275 | − | 0.276816i | ||||
\(877\) | 560.560 | + | 826.765i | 0.639179 | + | 0.942719i | 0.999949 | + | 0.0100643i | \(0.00320361\pi\) |
−0.360770 | + | 0.932655i | \(0.617486\pi\) | |||||||
\(878\) | −170.125 | − | 367.719i | −0.193764 | − | 0.418814i | ||||
\(879\) | 677.961 | + | 1056.43i | 0.771287 | + | 1.20185i | ||||
\(880\) | 38.8955 | − | 97.6203i | 0.0441994 | − | 0.110932i | ||||
\(881\) | 665.957 | − | 876.052i | 0.755911 | − | 0.994384i | −0.243788 | − | 0.969829i | \(-0.578390\pi\) |
0.999698 | − | 0.0245550i | \(-0.00781687\pi\) | |||||||
\(882\) | −436.445 | + | 416.442i | −0.494835 | + | 0.472156i | ||||
\(883\) | −298.815 | − | 100.683i | −0.338409 | − | 0.114023i | 0.144966 | − | 0.989437i | \(-0.453693\pi\) |
−0.483375 | + | 0.875413i | \(0.660589\pi\) | |||||||
\(884\) | − | 350.582i | − | 0.396586i | ||||||
\(885\) | −1102.57 | − | 794.723i | −1.24584 | − | 0.897992i | ||||
\(886\) | 1007.49 | 1.13712 | ||||||||
\(887\) | 274.295 | − | 814.080i | 0.309239 | − | 0.917790i | −0.674513 | − | 0.738263i | \(-0.735647\pi\) |
0.983753 | − | 0.179527i | \(-0.0574569\pi\) | |||||||
\(888\) | 120.212 | + | 96.2700i | 0.135374 | + | 0.108412i | ||||
\(889\) | −120.795 | − | 91.8263i | −0.135878 | − | 0.103292i | ||||
\(890\) | −731.512 | − | 291.461i | −0.821923 | − | 0.327484i | ||||
\(891\) | −273.138 | + | 46.8195i | −0.306552 | + | 0.0525472i | ||||
\(892\) | −490.329 | + | 226.850i | −0.549696 | + | 0.254317i | ||||
\(893\) | 650.353 | − | 440.950i | 0.728278 | − | 0.493785i | ||||
\(894\) | −950.481 | + | 351.151i | −1.06318 | + | 0.392786i | ||||
\(895\) | −1526.35 | + | 1796.96i | −1.70542 | + | 2.00778i | ||||
\(896\) | 13.8081 | + | 3.83380i | 0.0154108 | + | 0.00427879i | ||||
\(897\) | 9.81023 | + | 39.1440i | 0.0109367 | + | 0.0436388i | ||||
\(898\) | 109.906 | − | 207.305i | 0.122390 | − | 0.230852i | ||||
\(899\) | −3.85930 | − | 35.4857i | −0.00429288 | − | 0.0394724i | ||||
\(900\) | −567.088 | + | 228.340i | −0.630098 | + | 0.253711i | ||||
\(901\) | −27.9289 | − | 100.591i | −0.0309977 | − | 0.111644i | ||||
\(902\) | −44.7367 | + | 96.6968i | −0.0495972 | + | 0.107203i | ||||
\(903\) | −49.8597 | + | 1.44132i | −0.0552157 | + | 0.00159615i | ||||
\(904\) | −88.7893 | + | 19.5440i | −0.0982182 | + | 0.0216195i | ||||
\(905\) | −79.4317 | − | 132.017i | −0.0877699 | − | 0.145875i | ||||
\(906\) | 831.220 | + | 205.112i | 0.917461 | + | 0.226393i | ||||
\(907\) | 854.830 | − | 1260.78i | 0.942480 | − | 1.39005i | 0.0217889 | − | 0.999763i | \(-0.493064\pi\) |
0.920691 | − | 0.390292i | \(-0.127626\pi\) | |||||||
\(908\) | 10.9702 | + | 1.79848i | 0.0120817 | + | 0.00198070i | ||||
\(909\) | −521.669 | − | 112.842i | −0.573893 | − | 0.124139i | ||||
\(910\) | −75.3683 | − | 71.3927i | −0.0828224 | − | 0.0784535i | ||||
\(911\) | 7.63629 | + | 8.06154i | 0.00838232 | + | 0.00884911i | 0.730173 | − | 0.683262i | \(-0.239439\pi\) |
−0.721791 | + | 0.692111i | \(0.756681\pi\) | |||||||
\(912\) | −109.133 | − | 20.7354i | −0.119664 | − | 0.0227361i | ||||
\(913\) | 253.238 | + | 55.7418i | 0.277369 | + | 0.0610535i | ||||
\(914\) | −314.993 | − | 934.867i | −0.344632 | − | 1.02283i | ||||
\(915\) | 2203.60 | − | 426.985i | 2.40830 | − | 0.466651i | ||||
\(916\) | 45.0003 | + | 9.90532i | 0.0491270 | + | 0.0108137i | ||||
\(917\) | −307.807 | − | 16.6888i | −0.335668 | − | 0.0181994i | ||||
\(918\) | −310.354 | − | 830.756i | −0.338077 | − | 0.904963i | ||||
\(919\) | 436.170 | + | 413.162i | 0.474613 | + | 0.449578i | 0.887230 | − | 0.461327i | \(-0.152626\pi\) |
−0.412617 | + | 0.910905i | \(0.635385\pi\) | |||||||
\(920\) | −38.6521 | + | 2.09566i | −0.0420132 | + | 0.00227789i | ||||
\(921\) | −505.228 | − | 154.125i | −0.548565 | − | 0.167345i | ||||
\(922\) | 240.639 | − | 354.916i | 0.260997 | − | 0.384941i | ||||
\(923\) | 54.1182 | − | 497.609i | 0.0586330 | − | 0.539121i | ||||
\(924\) | 23.8662 | − | 10.3179i | 0.0258292 | − | 0.0111666i | ||||
\(925\) | 602.021 | − | 132.515i | 0.650833 | − | 0.143259i | ||||
\(926\) | −478.999 | + | 78.5279i | −0.517278 | + | 0.0848034i | ||||
\(927\) | 343.889 | + | 289.957i | 0.370970 | + | 0.312791i | ||||
\(928\) | 6.07068 | + | 21.8646i | 0.00654168 | + | 0.0235610i | ||||
\(929\) | −813.692 | − | 1070.39i | −0.875880 | − | 1.15220i | −0.987369 | − | 0.158435i | \(-0.949355\pi\) |
0.111490 | − | 0.993766i | \(-0.464438\pi\) | |||||||
\(930\) | −7.32365 | + | 289.802i | −0.00787489 | + | 0.311615i | ||||
\(931\) | −205.514 | + | 387.640i | −0.220745 | + | 0.416369i | ||||
\(932\) | −426.959 | + | 170.116i | −0.458110 | + | 0.182528i | ||||
\(933\) | −117.994 | + | 275.676i | −0.126467 | + | 0.295472i | ||||
\(934\) | −456.332 | + | 537.235i | −0.488578 | + | 0.575198i | ||||
\(935\) | 539.078 | − | 285.801i | 0.576554 | − | 0.305670i | ||||
\(936\) | −181.844 | + | 62.0069i | −0.194277 | + | 0.0662467i | ||||
\(937\) | −196.768 | + | 91.0347i | −0.209998 | + | 0.0971555i | −0.522069 | − | 0.852903i | \(-0.674840\pi\) |
0.312071 | + | 0.950059i | \(0.398977\pi\) | |||||||
\(938\) | −38.0919 | + | 32.3556i | −0.0406098 | + | 0.0344942i | ||||
\(939\) | 295.471 | + | 166.344i | 0.314665 | + | 0.177150i | ||||
\(940\) | 1037.74 | + | 788.868i | 1.10398 | + | 0.839221i | ||||
\(941\) | 57.1711 | − | 95.0190i | 0.0607556 | − | 0.100977i | −0.824991 | − | 0.565146i | \(-0.808820\pi\) |
0.885746 | + | 0.464170i | \(0.153647\pi\) | |||||||
\(942\) | −504.010 | − | 248.826i | −0.535042 | − | 0.264146i | ||||
\(943\) | 39.2468 | 0.0416191 | ||||||||
\(944\) | 180.397 | − | 152.160i | 0.191099 | − | 0.161187i | ||||
\(945\) | −241.797 | − | 102.455i | −0.255870 | − | 0.108418i | ||||
\(946\) | −60.1874 | − | 20.2795i | −0.0636231 | − | 0.0214371i | ||||
\(947\) | −40.9388 | + | 68.0409i | −0.0432300 | + | 0.0718489i | −0.877719 | − | 0.479176i | \(-0.840936\pi\) |
0.834489 | + | 0.551025i | \(0.185763\pi\) | |||||||
\(948\) | −10.5304 | + | 10.5688i | −0.0111081 | + | 0.0111485i | ||||
\(949\) | 325.789 | − | 817.670i | 0.343298 | − | 0.861612i | ||||
\(950\) | −338.880 | + | 287.847i | −0.356715 | + | 0.302997i | ||||
\(951\) | 1163.28 | − | 359.495i | 1.22321 | − | 0.378018i | ||||
\(952\) | 46.6951 | + | 68.8701i | 0.0490494 | + | 0.0723425i | ||||
\(953\) | −17.3197 | + | 9.18230i | −0.0181738 | + | 0.00963515i | −0.477471 | − | 0.878648i | \(-0.658446\pi\) |
0.459297 | + | 0.888283i | \(0.348101\pi\) | |||||||
\(954\) | −47.2358 | + | 32.2778i | −0.0495134 | + | 0.0338342i | ||||
\(955\) | 621.080 | − | 2236.93i | 0.650345 | − | 2.34233i | ||||
\(956\) | 519.611 | − | 207.032i | 0.543526 | − | 0.216561i | ||||
\(957\) | 33.4828 | + | 23.9586i | 0.0349873 | + | 0.0250351i | ||||
\(958\) | 1233.76 | − | 134.180i | 1.28785 | − | 0.140062i | ||||
\(959\) | 166.756 | + | 219.363i | 0.173885 | + | 0.228742i | ||||
\(960\) | −25.2108 | − | 182.557i | −0.0262613 | − | 0.190164i | ||||
\(961\) | −800.316 | − | 370.266i | −0.832795 | − | 0.385292i | ||||
\(962\) | 191.175 | − | 31.3416i | 0.198727 | − | 0.0325796i | ||||
\(963\) | −28.3071 | + | 559.708i | −0.0293947 | + | 0.581213i | ||||
\(964\) | 265.463 | − | 159.724i | 0.275377 | − | 0.165689i | ||||
\(965\) | 85.6078 | − | 787.151i | 0.0887128 | − | 0.815700i | ||||
\(966\) | −7.14087 | − | 6.38298i | −0.00739221 | − | 0.00660764i | ||||
\(967\) | −176.400 | + | 1075.99i | −0.182420 | + | 1.11271i | 0.723832 | + | 0.689976i | \(0.242379\pi\) |
−0.906252 | + | 0.422737i | \(0.861069\pi\) | |||||||
\(968\) | −308.680 | + | 16.7361i | −0.318884 | + | 0.0172894i | ||||
\(969\) | −405.014 | − | 501.990i | −0.417972 | − | 0.518050i | ||||
\(970\) | 1199.92 | − | 1136.63i | 1.23703 | − | 1.17178i | ||||
\(971\) | −983.283 | − | 53.3121i | −1.01265 | − | 0.0549043i | −0.459662 | − | 0.888094i | \(-0.652030\pi\) |
−0.552988 | + | 0.833189i | \(0.686512\pi\) | |||||||
\(972\) | −376.013 | + | 307.912i | −0.386845 | + | 0.316782i | ||||
\(973\) | 178.852 | − | 60.2623i | 0.183815 | − | 0.0619345i | ||||
\(974\) | 369.233 | + | 1095.85i | 0.379090 | + | 1.12510i | ||||
\(975\) | −263.873 | + | 722.304i | −0.270639 | + | 0.740824i | ||||
\(976\) | −21.1006 | + | 389.177i | −0.0216194 | + | 0.398747i | ||||
\(977\) | −1002.49 | − | 1058.32i | −1.02609 | − | 1.08323i | −0.996493 | − | 0.0836704i | \(-0.973336\pi\) |
−0.0295987 | − | 0.999562i | \(-0.509423\pi\) | |||||||
\(978\) | 259.858 | + | 322.077i | 0.265703 | + | 0.329322i | ||||
\(979\) | −13.4310 | − | 247.719i | −0.0137191 | − | 0.253033i | ||||
\(980\) | −718.288 | − | 117.757i | −0.732947 | − | 0.120161i | ||||
\(981\) | −539.290 | + | 461.461i | −0.549735 | + | 0.470399i | ||||
\(982\) | −1260.02 | − | 137.035i | −1.28311 | − | 0.139547i | ||||
\(983\) | 184.936 | + | 307.365i | 0.188134 | + | 0.312681i | 0.936541 | − | 0.350559i | \(-0.114008\pi\) |
−0.748407 | + | 0.663240i | \(0.769181\pi\) | |||||||
\(984\) | 15.5029 | + | 186.207i | 0.0157550 | + | 0.189234i | ||||
\(985\) | −239.197 | − | 1459.04i | −0.242840 | − | 1.48126i | ||||
\(986\) | −55.3230 | + | 119.579i | −0.0561086 | + | 0.121277i | ||||
\(987\) | 44.1231 | + | 319.505i | 0.0447042 | + | 0.323713i | ||||
\(988\) | −111.242 | + | 84.5637i | −0.112593 | + | 0.0855908i | ||||
\(989\) | 2.52949 | + | 23.2583i | 0.00255763 | + | 0.0235170i | ||||
\(990\) | −243.588 | − | 229.065i | −0.246049 | − | 0.231379i | ||||
\(991\) | −312.076 | − | 783.252i | −0.314910 | − | 0.790366i | −0.998186 | − | 0.0602050i | \(-0.980825\pi\) |
0.683276 | − | 0.730161i | \(-0.260555\pi\) | |||||||
\(992\) | −48.5024 | − | 13.4666i | −0.0488936 | − | 0.0135752i | ||||
\(993\) | 719.479 | + | 799.045i | 0.724551 | + | 0.804677i | ||||
\(994\) | 55.6467 | + | 104.961i | 0.0559826 | + | 0.105594i | ||||
\(995\) | 808.189 | − | 547.966i | 0.812250 | − | 0.550719i | ||||
\(996\) | 434.471 | − | 134.268i | 0.436216 | − | 0.134807i | ||||
\(997\) | −992.757 | − | 1168.76i | −0.995744 | − | 1.17228i | −0.985038 | − | 0.172338i | \(-0.944868\pi\) |
−0.0107063 | − | 0.999943i | \(-0.503408\pi\) | |||||||
\(998\) | 893.668 | + | 356.070i | 0.895459 | + | 0.356784i | ||||
\(999\) | 425.273 | − | 243.507i | 0.425699 | − | 0.243751i |
(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 | 354.3.h.a.5.5 | ✓ | 1120 | |
3.2 | odd | 2 | inner | 354.3.h.a.5.32 | yes | 1120 | |
59.12 | even | 29 | inner | 354.3.h.a.71.32 | yes | 1120 | |
177.71 | odd | 58 | inner | 354.3.h.a.71.5 | yes | 1120 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
354.3.h.a.5.5 | ✓ | 1120 | 1.1 | even | 1 | trivial | |
354.3.h.a.5.32 | yes | 1120 | 3.2 | odd | 2 | inner | |
354.3.h.a.71.5 | yes | 1120 | 177.71 | odd | 58 | inner | |
354.3.h.a.71.32 | yes | 1120 | 59.12 | even | 29 | inner |