Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [983,2,Mod(2,983)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(983, base_ring=CyclotomicField(982))
chi = DirichletCharacter(H, H._module([674]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("983.2");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 983 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 983.c (of order \(491\), degree \(490\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(7.84929451869\) |
Analytic rank: | \(0\) |
Dimension: | \(39690\) |
Relative dimension: | \(81\) over \(\Q(\zeta_{491})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{491}]$ |
Embedding invariants
Embedding label | 2.18 | ||
Character | \(\chi\) | \(=\) | 983.2 |
Dual form | 983.2.c.a.492.18 |
$q$-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 \(\left(\mathbb{Z}/983\mathbb{Z}\right)^\times\).
\(n\) | \(5\) |
\(\chi(n)\) | \(e\left(\frac{337}{491}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.578509 | + | 1.72765i | −0.409068 | + | 1.22164i | 0.520780 | + | 0.853691i | \(0.325641\pi\) |
−0.929847 | + | 0.367945i | \(0.880061\pi\) | |||||||
\(3\) | 2.91461 | + | 1.63747i | 1.68275 | + | 0.945395i | 0.969705 | + | 0.244280i | \(0.0785517\pi\) |
0.713049 | + | 0.701115i | \(0.247314\pi\) | |||||||
\(4\) | −1.05340 | − | 0.794559i | −0.526701 | − | 0.397280i | ||||
\(5\) | −0.586439 | + | 0.884543i | −0.262264 | + | 0.395580i | −0.940787 | − | 0.338999i | \(-0.889912\pi\) |
0.678523 | + | 0.734579i | \(0.262620\pi\) | |||||||
\(6\) | −4.51512 | + | 4.08815i | −1.84329 | + | 1.66898i | ||||
\(7\) | −0.437511 | + | 0.965436i | −0.165364 | + | 0.364900i | −0.975058 | − | 0.221952i | \(-0.928757\pi\) |
0.809694 | + | 0.586852i | \(0.199633\pi\) | |||||||
\(8\) | −1.02232 | + | 0.701577i | −0.361444 | + | 0.248045i | ||||
\(9\) | 4.25313 | + | 6.98303i | 1.41771 | + | 2.32768i | ||||
\(10\) | −1.18893 | − | 1.52488i | −0.375971 | − | 0.482210i | ||||
\(11\) | −0.814669 | − | 0.0521967i | −0.245632 | − | 0.0157379i | −0.0593622 | − | 0.998237i | \(-0.518907\pi\) |
−0.186270 | + | 0.982499i | \(0.559640\pi\) | |||||||
\(12\) | −1.76919 | − | 4.04075i | −0.510722 | − | 1.16646i | ||||
\(13\) | −3.48479 | − | 4.02639i | −0.966506 | − | 1.11672i | −0.993123 | − | 0.117074i | \(-0.962649\pi\) |
0.0266172 | − | 0.999646i | \(-0.491526\pi\) | |||||||
\(14\) | −1.41484 | − | 1.31438i | −0.378131 | − | 0.351283i | ||||
\(15\) | −3.15766 | + | 1.61783i | −0.815304 | + | 0.417721i | ||||
\(16\) | −1.34570 | − | 4.70945i | −0.336426 | − | 1.17736i | ||||
\(17\) | −3.67219 | + | 1.62184i | −0.890637 | + | 0.393355i | −0.798220 | − | 0.602366i | \(-0.794225\pi\) |
−0.0924167 | + | 0.995720i | \(0.529459\pi\) | |||||||
\(18\) | −14.5247 | + | 3.30819i | −3.42351 | + | 0.779748i | ||||
\(19\) | 4.48703 | + | 3.42973i | 1.02939 | + | 0.786834i | 0.977311 | − | 0.211808i | \(-0.0679353\pi\) |
0.0520831 | + | 0.998643i | \(0.483414\pi\) | |||||||
\(20\) | 1.32058 | − | 0.465820i | 0.295290 | − | 0.104160i | ||||
\(21\) | −2.85605 | + | 2.09746i | −0.623241 | + | 0.457703i | ||||
\(22\) | 0.561471 | − | 1.37727i | 0.119706 | − | 0.293635i | ||||
\(23\) | −0.845539 | − | 7.97928i | −0.176307 | − | 1.66379i | −0.632987 | − | 0.774163i | \(-0.718171\pi\) |
0.456680 | − | 0.889631i | \(-0.349039\pi\) | |||||||
\(24\) | −4.12848 | + | 0.370809i | −0.842722 | + | 0.0756911i | ||||
\(25\) | 1.50811 | + | 3.56804i | 0.301622 | + | 0.713609i | ||||
\(26\) | 8.97219 | − | 3.69121i | 1.75959 | − | 0.723905i | ||||
\(27\) | 0.608848 | + | 17.2941i | 0.117173 | + | 3.32826i | ||||
\(28\) | 1.22797 | − | 0.669364i | 0.232065 | − | 0.126498i | ||||
\(29\) | 2.80691 | − | 4.06224i | 0.521231 | − | 0.754339i | −0.470538 | − | 0.882380i | \(-0.655940\pi\) |
0.991769 | + | 0.128041i | \(0.0408688\pi\) | |||||||
\(30\) | −0.968309 | − | 6.39127i | −0.176788 | − | 1.16688i | ||||
\(31\) | 3.83204 | + | 5.70044i | 0.688254 | + | 1.02383i | 0.997347 | + | 0.0727975i | \(0.0231927\pi\) |
−0.309092 | + | 0.951032i | \(0.600025\pi\) | |||||||
\(32\) | 6.43750 | + | 0.288519i | 1.13800 | + | 0.0510034i | ||||
\(33\) | −2.28898 | − | 1.48613i | −0.398460 | − | 0.258702i | ||||
\(34\) | −0.677590 | − | 7.28253i | −0.116206 | − | 1.24894i | ||||
\(35\) | −0.597396 | − | 0.953167i | −0.100978 | − | 0.161115i | ||||
\(36\) | 1.06817 | − | 10.7353i | 0.178029 | − | 1.78922i | ||||
\(37\) | 5.40377 | − | 1.34038i | 0.888374 | − | 0.220357i | 0.230129 | − | 0.973160i | \(-0.426085\pi\) |
0.658245 | + | 0.752804i | \(0.271299\pi\) | |||||||
\(38\) | −8.52118 | + | 5.76790i | −1.38232 | + | 0.935677i | ||||
\(39\) | −3.56371 | − | 17.4416i | −0.570650 | − | 2.79289i | ||||
\(40\) | −0.0210479 | − | 1.31572i | −0.00332796 | − | 0.208033i | ||||
\(41\) | 1.75277 | + | 0.157429i | 0.273737 | + | 0.0245863i | 0.225477 | − | 0.974248i | \(-0.427606\pi\) |
0.0482600 | + | 0.998835i | \(0.484632\pi\) | |||||||
\(42\) | −1.97144 | − | 6.14767i | −0.304199 | − | 0.948605i | ||||
\(43\) | −0.876661 | − | 1.20176i | −0.133690 | − | 0.183267i | 0.735829 | − | 0.677167i | \(-0.236793\pi\) |
−0.869518 | + | 0.493900i | \(0.835571\pi\) | |||||||
\(44\) | 0.816702 | + | 0.702287i | 0.123122 | + | 0.105874i | ||||
\(45\) | −8.67099 | − | 0.333044i | −1.29259 | − | 0.0496473i | ||||
\(46\) | 14.2746 | + | 3.15528i | 2.10467 | + | 0.465221i | ||||
\(47\) | 0.944066 | + | 3.15068i | 0.137706 | + | 0.459574i | 0.998806 | − | 0.0488624i | \(-0.0155596\pi\) |
−0.861099 | + | 0.508437i | \(0.830224\pi\) | |||||||
\(48\) | 3.78939 | − | 15.9298i | 0.546951 | − | 2.29927i | ||||
\(49\) | 3.87407 | + | 4.41872i | 0.553438 | + | 0.631245i | ||||
\(50\) | −7.03680 | + | 0.541352i | −0.995154 | + | 0.0765587i | ||||
\(51\) | −13.3587 | − | 1.28606i | −1.87060 | − | 0.180085i | ||||
\(52\) | 0.471680 | + | 7.01028i | 0.0654102 | + | 0.972151i | ||||
\(53\) | −10.1693 | + | 9.32673i | −1.39686 | + | 1.28112i | −0.482685 | + | 0.875794i | \(0.660338\pi\) |
−0.914170 | + | 0.405331i | \(0.867156\pi\) | |||||||
\(54\) | −30.2305 | − | 8.95293i | −4.11385 | − | 1.21834i | ||||
\(55\) | 0.523924 | − | 0.690000i | 0.0706459 | − | 0.0930396i | ||||
\(56\) | −0.230052 | − | 1.29393i | −0.0307420 | − | 0.172909i | ||||
\(57\) | 7.46186 | + | 17.3437i | 0.988348 | + | 2.29723i | ||||
\(58\) | 5.39432 | + | 7.19942i | 0.708309 | + | 0.945330i | ||||
\(59\) | 1.37482 | + | 0.105767i | 0.178987 | + | 0.0137697i | 0.165889 | − | 0.986144i | \(-0.446951\pi\) |
0.0130981 | + | 0.999914i | \(0.495831\pi\) | |||||||
\(60\) | 4.61174 | + | 0.804726i | 0.595374 | + | 0.103890i | ||||
\(61\) | 2.27213 | + | 1.92867i | 0.290917 | + | 0.246941i | 0.780704 | − | 0.624900i | \(-0.214860\pi\) |
−0.489787 | + | 0.871842i | \(0.662926\pi\) | |||||||
\(62\) | −12.0653 | + | 3.32268i | −1.53229 | + | 0.421981i | ||||
\(63\) | −8.60245 | + | 1.05097i | −1.08381 | + | 0.132410i | ||||
\(64\) | −0.699405 | + | 1.81449i | −0.0874256 | + | 0.226811i | ||||
\(65\) | 5.60513 | − | 0.721214i | 0.695231 | − | 0.0894555i | ||||
\(66\) | 3.89172 | − | 3.09482i | 0.479037 | − | 0.380946i | ||||
\(67\) | 4.29018 | − | 3.68916i | 0.524129 | − | 0.450702i | −0.349752 | − | 0.936842i | \(-0.613734\pi\) |
0.873881 | + | 0.486140i | \(0.161596\pi\) | |||||||
\(68\) | 5.15695 | + | 1.20932i | 0.625372 | + | 0.146651i | ||||
\(69\) | 10.6014 | − | 24.6411i | 1.27626 | − | 2.96643i | ||||
\(70\) | 1.99234 | − | 0.480679i | 0.238130 | − | 0.0574521i | ||||
\(71\) | −4.44654 | + | 3.62988i | −0.527708 | + | 0.430788i | −0.858423 | − | 0.512943i | \(-0.828555\pi\) |
0.330715 | + | 0.943731i | \(0.392710\pi\) | |||||||
\(72\) | −9.24718 | − | 4.15498i | −1.08979 | − | 0.489669i | ||||
\(73\) | −2.17892 | − | 1.55766i | −0.255023 | − | 0.182310i | 0.446856 | − | 0.894606i | \(-0.352544\pi\) |
−0.701880 | + | 0.712296i | \(0.747656\pi\) | |||||||
\(74\) | −0.810422 | + | 10.1113i | −0.0942097 | + | 1.17541i | ||||
\(75\) | −1.44701 | + | 12.8690i | −0.167086 | + | 1.48598i | ||||
\(76\) | −2.00152 | − | 7.17810i | −0.229590 | − | 0.823384i | ||||
\(77\) | 0.406819 | − | 0.763674i | 0.0463614 | − | 0.0870288i | ||||
\(78\) | 32.1947 | + | 3.93327i | 3.64533 | + | 0.445355i | ||||
\(79\) | 1.12784 | − | 0.167184i | 0.126892 | − | 0.0188097i | −0.0828836 | − | 0.996559i | \(-0.526413\pi\) |
0.209776 | + | 0.977750i | \(0.432727\pi\) | |||||||
\(80\) | 4.95489 | + | 1.57147i | 0.553973 | + | 0.175696i | ||||
\(81\) | −15.2895 | + | 29.6082i | −1.69883 | + | 3.28980i | ||||
\(82\) | −1.28598 | + | 2.93711i | −0.142013 | + | 0.324350i | ||||
\(83\) | 10.9979 | − | 3.41076i | 1.20718 | − | 0.374380i | 0.374023 | − | 0.927419i | \(-0.377978\pi\) |
0.833155 | + | 0.553039i | \(0.186532\pi\) | |||||||
\(84\) | 4.67513 | + | 0.0598295i | 0.510098 | + | 0.00652794i | ||||
\(85\) | 0.718925 | − | 4.19933i | 0.0779784 | − | 0.455481i | ||||
\(86\) | 2.58339 | − | 0.819337i | 0.278574 | − | 0.0883514i | ||||
\(87\) | 14.8329 | − | 7.24362i | 1.59025 | − | 0.776597i | ||||
\(88\) | 0.869472 | − | 0.518192i | 0.0926860 | − | 0.0552394i | ||||
\(89\) | 3.89296 | + | 2.56308i | 0.412653 | + | 0.271686i | 0.739188 | − | 0.673499i | \(-0.235209\pi\) |
−0.326536 | + | 0.945185i | \(0.605881\pi\) | |||||||
\(90\) | 5.59163 | − | 14.7878i | 0.589410 | − | 1.55877i | ||||
\(91\) | 5.41185 | − | 1.60275i | 0.567316 | − | 0.168014i | ||||
\(92\) | −5.44932 | + | 9.07722i | −0.568130 | + | 0.946366i | ||||
\(93\) | 1.83460 | + | 22.8894i | 0.190239 | + | 2.37352i | ||||
\(94\) | −5.98944 | − | 0.191678i | −0.617764 | − | 0.0197701i | ||||
\(95\) | −5.66511 | + | 1.95764i | −0.581228 | + | 0.200850i | ||||
\(96\) | 18.2904 | + | 11.3821i | 1.86675 | + | 1.16169i | ||||
\(97\) | 4.85281 | − | 0.248617i | 0.492728 | − | 0.0252432i | 0.196781 | − | 0.980448i | \(-0.436951\pi\) |
0.295947 | + | 0.955204i | \(0.404365\pi\) | |||||||
\(98\) | −9.87520 | + | 4.13678i | −0.997546 | + | 0.417878i | ||||
\(99\) | −3.10040 | − | 5.91086i | −0.311602 | − | 0.594063i | ||||
\(100\) | 1.24637 | − | 4.95687i | 0.124637 | − | 0.495687i | ||||
\(101\) | −13.8934 | − | 10.0670i | −1.38245 | − | 1.00171i | −0.996872 | − | 0.0790294i | \(-0.974818\pi\) |
−0.385575 | − | 0.922677i | \(-0.625997\pi\) | |||||||
\(102\) | 9.95002 | − | 22.3353i | 0.985199 | − | 2.21152i | ||||
\(103\) | 4.74407 | + | 1.84608i | 0.467447 | + | 0.181900i | 0.584779 | − | 0.811193i | \(-0.301181\pi\) |
−0.117331 | + | 0.993093i | \(0.537434\pi\) | |||||||
\(104\) | 6.38739 | + | 1.67140i | 0.626335 | + | 0.163895i | ||||
\(105\) | −0.180396 | − | 3.75633i | −0.0176049 | − | 0.366581i | ||||
\(106\) | −10.2304 | − | 22.9646i | −0.993660 | − | 2.23052i | ||||
\(107\) | −1.48082 | + | 7.01821i | −0.143156 | + | 0.678476i | 0.846189 | + | 0.532884i | \(0.178892\pi\) |
−0.989345 | + | 0.145592i | \(0.953491\pi\) | |||||||
\(108\) | 13.0998 | − | 18.7014i | 1.26053 | − | 1.79955i | ||||
\(109\) | 8.43084 | + | 9.99686i | 0.807528 | + | 0.957526i | 0.999716 | − | 0.0238325i | \(-0.00758685\pi\) |
−0.192188 | + | 0.981358i | \(0.561558\pi\) | |||||||
\(110\) | 0.888987 | + | 1.30433i | 0.0847616 | + | 0.124363i | ||||
\(111\) | 17.9447 | + | 4.94184i | 1.70324 | + | 0.469059i | ||||
\(112\) | 5.13543 | + | 0.761245i | 0.485253 | + | 0.0719309i | ||||
\(113\) | 0.500693 | + | 0.244513i | 0.0471012 | + | 0.0230018i | 0.462218 | − | 0.886766i | \(-0.347054\pi\) |
−0.415117 | + | 0.909768i | \(0.636259\pi\) | |||||||
\(114\) | −34.2807 | + | 2.85802i | −3.21068 | + | 0.267678i | ||||
\(115\) | 7.55387 | + | 3.93144i | 0.704402 | + | 0.366609i | ||||
\(116\) | −6.18450 | + | 2.04891i | −0.574217 | + | 0.190237i | ||||
\(117\) | 13.2951 | − | 41.4591i | 1.22914 | − | 3.83289i | ||||
\(118\) | −0.978077 | + | 2.31403i | −0.0900393 | + | 0.213024i | ||||
\(119\) | 0.0408372 | − | 4.25484i | 0.00374354 | − | 0.390040i | ||||
\(120\) | 2.09310 | − | 3.86928i | 0.191073 | − | 0.353215i | ||||
\(121\) | −10.2491 | − | 1.31875i | −0.931736 | − | 0.119887i | ||||
\(122\) | −4.64653 | + | 2.80971i | −0.420677 | + | 0.254379i | ||||
\(123\) | 4.85087 | + | 3.32896i | 0.437388 | + | 0.300162i | ||||
\(124\) | 0.492660 | − | 9.04964i | 0.0442422 | − | 0.812682i | ||||
\(125\) | −9.25585 | − | 1.73743i | −0.827868 | − | 0.155400i | ||||
\(126\) | 3.16088 | − | 15.4701i | 0.281593 | − | 1.37818i | ||||
\(127\) | −4.24917 | − | 10.2352i | −0.377053 | − | 0.908231i | −0.992744 | − | 0.120244i | \(-0.961632\pi\) |
0.615691 | − | 0.787987i | \(-0.288877\pi\) | |||||||
\(128\) | 7.20117 | + | 5.95577i | 0.636499 | + | 0.526421i | ||||
\(129\) | −0.587276 | − | 4.93818i | −0.0517068 | − | 0.434783i | ||||
\(130\) | −1.99661 | + | 10.1010i | −0.175114 | + | 0.885913i | ||||
\(131\) | 5.23694 | + | 2.68314i | 0.457554 | + | 0.234427i | 0.669439 | − | 0.742867i | \(-0.266535\pi\) |
−0.211885 | + | 0.977295i | \(0.567960\pi\) | |||||||
\(132\) | 1.23039 | + | 3.38422i | 0.107092 | + | 0.294559i | ||||
\(133\) | −5.27431 | + | 2.83139i | −0.457340 | + | 0.245513i | ||||
\(134\) | 3.89168 | + | 9.54617i | 0.336190 | + | 0.824663i | ||||
\(135\) | −15.6545 | − | 9.60340i | −1.34732 | − | 0.826529i | ||||
\(136\) | 2.61630 | − | 4.23437i | 0.224346 | − | 0.363094i | ||||
\(137\) | −8.42348 | − | 14.8817i | −0.719666 | − | 1.27143i | −0.954157 | − | 0.299307i | \(-0.903244\pi\) |
0.234490 | − | 0.972118i | \(-0.424658\pi\) | |||||||
\(138\) | 36.4382 | + | 32.5707i | 3.10183 | + | 2.77260i | ||||
\(139\) | 5.94165 | − | 11.3276i | 0.503964 | − | 0.960798i | −0.491961 | − | 0.870617i | \(-0.663720\pi\) |
0.995925 | − | 0.0901810i | \(-0.0287446\pi\) | |||||||
\(140\) | −0.128049 | + | 1.47874i | −0.0108221 | + | 0.124976i | ||||
\(141\) | −2.40757 | + | 10.7289i | −0.202754 | + | 0.903537i | ||||
\(142\) | −3.69882 | − | 9.78201i | −0.310398 | − | 0.820888i | ||||
\(143\) | 2.62879 | + | 3.46207i | 0.219830 | + | 0.289513i | ||||
\(144\) | 27.1628 | − | 29.4270i | 2.26356 | − | 2.45225i | ||||
\(145\) | 1.94714 | + | 4.86509i | 0.161701 | + | 0.404024i | ||||
\(146\) | 3.95162 | − | 2.86330i | 0.327039 | − | 0.236969i | ||||
\(147\) | 4.05589 | + | 19.2225i | 0.334524 | + | 1.58545i | ||||
\(148\) | −6.75735 | − | 2.88166i | −0.555451 | − | 0.236871i | ||||
\(149\) | −3.98898 | − | 15.4457i | −0.326790 | − | 1.26537i | −0.896325 | − | 0.443398i | \(-0.853773\pi\) |
0.569535 | − | 0.821967i | \(-0.307123\pi\) | |||||||
\(150\) | −21.3960 | − | 9.94474i | −1.74698 | − | 0.811984i | ||||
\(151\) | −1.84200 | + | 0.663027i | −0.149900 | + | 0.0539564i | −0.412551 | − | 0.910934i | \(-0.635362\pi\) |
0.262652 | + | 0.964891i | \(0.415403\pi\) | |||||||
\(152\) | −6.99339 | − | 0.358283i | −0.567239 | − | 0.0290606i | ||||
\(153\) | −26.9437 | − | 18.7451i | −2.17827 | − | 1.51545i | ||||
\(154\) | 1.08402 | + | 1.14464i | 0.0873526 | + | 0.0922374i | ||||
\(155\) | −7.28955 | + | 0.0466417i | −0.585510 | + | 0.00374635i | ||||
\(156\) | −10.1044 | + | 21.2046i | −0.808997 | + | 1.69773i | ||||
\(157\) | 12.8980 | + | 13.9731i | 1.02937 | + | 1.11518i | 0.993269 | + | 0.115828i | \(0.0369520\pi\) |
0.0361008 | + | 0.999348i | \(0.488506\pi\) | |||||||
\(158\) | −0.363630 | + | 2.04524i | −0.0289288 | + | 0.162710i | ||||
\(159\) | −44.9117 | + | 10.5319i | −3.56173 | + | 0.835236i | ||||
\(160\) | −4.03041 | + | 5.52505i | −0.318632 | + | 0.436793i | ||||
\(161\) | 8.07341 | + | 2.67471i | 0.636274 | + | 0.210796i | ||||
\(162\) | −42.3076 | − | 43.5436i | −3.32400 | − | 3.42111i | ||||
\(163\) | −10.3944 | + | 2.64899i | −0.814153 | + | 0.207485i | −0.631184 | − | 0.775634i | \(-0.717431\pi\) |
−0.182970 | + | 0.983119i | \(0.558571\pi\) | |||||||
\(164\) | −1.72129 | − | 1.55852i | −0.134410 | − | 0.121700i | ||||
\(165\) | 2.65689 | − | 1.15317i | 0.206839 | − | 0.0897744i | ||||
\(166\) | −0.469770 | + | 20.9738i | −0.0364612 | + | 1.62788i | ||||
\(167\) | −4.22905 | − | 22.9339i | −0.327253 | − | 1.77468i | −0.587589 | − | 0.809160i | \(-0.699923\pi\) |
0.260335 | − | 0.965518i | \(-0.416167\pi\) | |||||||
\(168\) | 1.44826 | − | 4.14801i | 0.111736 | − | 0.320026i | ||||
\(169\) | −2.20300 | + | 15.1967i | −0.169462 | + | 1.16898i | ||||
\(170\) | 6.83908 | + | 3.67140i | 0.524533 | + | 0.281584i | ||||
\(171\) | −4.86601 | + | 45.9201i | −0.372113 | + | 3.51160i | ||||
\(172\) | −0.0313946 | + | 1.96250i | −0.00239382 | + | 0.149639i | ||||
\(173\) | 23.3848 | − | 4.38960i | 1.77792 | − | 0.333735i | 0.810272 | − | 0.586055i | \(-0.199320\pi\) |
0.967644 | + | 0.252319i | \(0.0811933\pi\) | |||||||
\(174\) | 3.93352 | + | 29.8166i | 0.298199 | + | 2.26039i | ||||
\(175\) | −4.10453 | − | 0.105072i | −0.310273 | − | 0.00794269i | ||||
\(176\) | 0.850486 | + | 3.90689i | 0.0641078 | + | 0.294493i | ||||
\(177\) | 3.83389 | + | 2.55950i | 0.288173 | + | 0.192384i | ||||
\(178\) | −6.68023 | + | 5.24292i | −0.500705 | + | 0.392973i | ||||
\(179\) | 7.40464 | + | 3.55755i | 0.553448 | + | 0.265904i | 0.688871 | − | 0.724884i | \(-0.258107\pi\) |
−0.135422 | + | 0.990788i | \(0.543239\pi\) | |||||||
\(180\) | 8.86942 | + | 7.24045i | 0.661088 | + | 0.539671i | ||||
\(181\) | −8.70815 | − | 17.4062i | −0.647272 | − | 1.29379i | −0.941164 | − | 0.337951i | \(-0.890266\pi\) |
0.293892 | − | 0.955839i | \(-0.405049\pi\) | |||||||
\(182\) | −0.361807 | + | 10.2770i | −0.0268189 | + | 0.761783i | ||||
\(183\) | 3.46424 | + | 9.34190i | 0.256084 | + | 0.690573i | ||||
\(184\) | 6.46249 | + | 7.56415i | 0.476421 | + | 0.557637i | ||||
\(185\) | −1.98336 | + | 5.56592i | −0.145820 | + | 0.409215i | ||||
\(186\) | −40.6064 | − | 10.0722i | −2.97740 | − | 0.738529i | ||||
\(187\) | 3.07628 | − | 1.12959i | 0.224960 | − | 0.0826038i | ||||
\(188\) | 1.50892 | − | 4.06906i | 0.110050 | − | 0.296766i | ||||
\(189\) | −16.9627 | − | 6.97856i | −1.23386 | − | 0.507616i | ||||
\(190\) | −0.104807 | − | 10.9199i | −0.00760350 | − | 0.792211i | ||||
\(191\) | 6.08696 | + | 3.21765i | 0.440437 | + | 0.232821i | 0.672824 | − | 0.739803i | \(-0.265081\pi\) |
−0.232387 | + | 0.972623i | \(0.574653\pi\) | |||||||
\(192\) | −5.00967 | + | 4.14328i | −0.361542 | + | 0.299015i | ||||
\(193\) | 13.3729 | + | 12.7461i | 0.962604 | + | 0.917485i | 0.996638 | − | 0.0819359i | \(-0.0261103\pi\) |
−0.0340336 | + | 0.999421i | \(0.510835\pi\) | |||||||
\(194\) | −2.37787 | + | 8.52780i | −0.170721 | + | 0.612261i | ||||
\(195\) | 17.5178 | + | 7.07619i | 1.25447 | + | 0.506736i | ||||
\(196\) | −0.570022 | − | 7.73287i | −0.0407158 | − | 0.552348i | ||||
\(197\) | −1.29577 | + | 0.347941i | −0.0923198 | + | 0.0247898i | −0.305198 | − | 0.952289i | \(-0.598723\pi\) |
0.212878 | + | 0.977079i | \(0.431716\pi\) | |||||||
\(198\) | 12.0055 | − | 1.93694i | 0.853196 | − | 0.137652i | ||||
\(199\) | −2.22955 | + | 3.45817i | −0.158048 | + | 0.245143i | −0.910505 | − | 0.413499i | \(-0.864307\pi\) |
0.752456 | + | 0.658642i | \(0.228869\pi\) | |||||||
\(200\) | −4.04503 | − | 2.58962i | −0.286027 | − | 0.183114i | ||||
\(201\) | 18.5451 | − | 3.72742i | 1.30807 | − | 0.262912i | ||||
\(202\) | 25.4298 | − | 18.1792i | 1.78923 | − | 1.27908i | ||||
\(203\) | 2.69378 | + | 4.48717i | 0.189066 | + | 0.314938i | ||||
\(204\) | 13.0503 | + | 11.9691i | 0.913703 | + | 0.838001i | ||||
\(205\) | −1.16715 | + | 1.45808i | −0.0815171 | + | 0.101837i | ||||
\(206\) | −5.93388 | + | 7.12814i | −0.413433 | + | 0.496641i | ||||
\(207\) | 52.1233 | − | 39.8413i | 3.62282 | − | 2.76916i | ||||
\(208\) | −14.2726 | + | 21.8298i | −0.989626 | + | 1.51362i | ||||
\(209\) | −3.47642 | − | 3.02831i | −0.240469 | − | 0.209472i | ||||
\(210\) | 6.59401 | + | 1.86141i | 0.455030 | + | 0.128450i | ||||
\(211\) | −4.50855 | − | 27.3874i | −0.310381 | − | 1.88542i | −0.446580 | − | 0.894744i | \(-0.647358\pi\) |
0.136199 | − | 0.990681i | \(-0.456511\pi\) | |||||||
\(212\) | 18.1230 | − | 1.74472i | 1.24469 | − | 0.119828i | ||||
\(213\) | −18.9038 | + | 3.29862i | −1.29527 | + | 0.226017i | ||||
\(214\) | −11.2684 | − | 6.61844i | −0.770290 | − | 0.452427i | ||||
\(215\) | 1.57712 | − | 0.0706841i | 0.107559 | − | 0.00482061i | ||||
\(216\) | −12.7556 | − | 17.2530i | −0.867909 | − | 1.17391i | ||||
\(217\) | −7.17997 | + | 1.20558i | −0.487408 | + | 0.0818402i | ||||
\(218\) | −22.1484 | + | 8.78230i | −1.50008 | + | 0.594813i | ||||
\(219\) | −3.80009 | − | 8.10790i | −0.256786 | − | 0.547881i | ||||
\(220\) | −1.10015 | + | 0.310559i | −0.0741721 | + | 0.0209379i | ||||
\(221\) | 19.3270 | + | 9.13389i | 1.30007 | + | 0.614412i | ||||
\(222\) | −18.9190 | + | 28.1434i | −1.26976 | + | 1.88886i | ||||
\(223\) | 16.2061 | − | 21.9201i | 1.08524 | − | 1.46788i | 0.214124 | − | 0.976806i | \(-0.431310\pi\) |
0.871120 | − | 0.491071i | \(-0.163394\pi\) | |||||||
\(224\) | −3.09502 | + | 6.08876i | −0.206795 | + | 0.406822i | ||||
\(225\) | −18.5015 | + | 25.7065i | −1.23344 | + | 1.71377i | ||||
\(226\) | −0.712089 | + | 0.723571i | −0.0473674 | + | 0.0481312i | ||||
\(227\) | −5.85798 | − | 9.90097i | −0.388808 | − | 0.657151i | 0.601050 | − | 0.799212i | \(-0.294749\pi\) |
−0.989858 | + | 0.142061i | \(0.954627\pi\) | |||||||
\(228\) | 5.92027 | − | 24.1988i | 0.392080 | − | 1.60261i | ||||
\(229\) | −0.489505 | + | 2.24864i | −0.0323474 | + | 0.148595i | −0.990461 | − | 0.137794i | \(-0.955999\pi\) |
0.958113 | + | 0.286389i | \(0.0924549\pi\) | |||||||
\(230\) | −11.1622 | + | 10.7761i | −0.736011 | + | 0.710555i | ||||
\(231\) | 2.43622 | − | 1.55966i | 0.160291 | − | 0.102618i | ||||
\(232\) | −0.0195860 | + | 6.12217i | −0.00128588 | + | 0.401940i | ||||
\(233\) | −7.69155 | + | 4.71847i | −0.503890 | + | 0.309117i | −0.751489 | − | 0.659746i | \(-0.770664\pi\) |
0.247599 | + | 0.968863i | \(0.420359\pi\) | |||||||
\(234\) | 63.9356 | + | 46.9539i | 4.17960 | + | 3.06947i | ||||
\(235\) | −3.34055 | − | 1.01262i | −0.217914 | − | 0.0660558i | ||||
\(236\) | −1.36420 | − | 1.20379i | −0.0888021 | − | 0.0783603i | ||||
\(237\) | 3.56098 | + | 1.35953i | 0.231311 | + | 0.0883111i | ||||
\(238\) | 7.32727 | + | 2.53201i | 0.474956 | + | 0.164126i | ||||
\(239\) | 18.8692 | + | 23.2660i | 1.22055 | + | 1.50495i | 0.802644 | + | 0.596458i | \(0.203426\pi\) |
0.417901 | + | 0.908492i | \(0.362766\pi\) | |||||||
\(240\) | 11.8683 | + | 12.6937i | 0.766098 | + | 0.819377i | ||||
\(241\) | 18.5770 | + | 0.118864i | 1.19665 | + | 0.00765671i | 0.603452 | − | 0.797399i | \(-0.293791\pi\) |
0.593199 | + | 0.805056i | \(0.297865\pi\) | |||||||
\(242\) | 8.20754 | − | 16.9440i | 0.527601 | − | 1.08920i | ||||
\(243\) | −49.6852 | + | 32.7122i | −3.18731 | + | 2.09849i | ||||
\(244\) | −0.861026 | − | 3.83702i | −0.0551216 | − | 0.245640i | ||||
\(245\) | −6.18045 | + | 0.835473i | −0.394855 | + | 0.0533764i | ||||
\(246\) | −8.55757 | + | 6.45479i | −0.545611 | + | 0.411543i | ||||
\(247\) | −1.82690 | − | 30.0184i | −0.116243 | − | 1.91002i | ||||
\(248\) | −7.91686 | − | 3.13920i | −0.502721 | − | 0.199339i | ||||
\(249\) | 37.6397 | + | 8.06772i | 2.38532 | + | 0.511271i | ||||
\(250\) | 8.35627 | − | 14.9858i | 0.528497 | − | 0.947785i | ||||
\(251\) | −0.832262 | + | 2.77755i | −0.0525319 | + | 0.175318i | −0.980168 | − | 0.198167i | \(-0.936501\pi\) |
0.927636 | + | 0.373485i | \(0.121837\pi\) | |||||||
\(252\) | 9.89690 | + | 5.72806i | 0.623446 | + | 0.360834i | ||||
\(253\) | 0.272343 | + | 6.54461i | 0.0171220 | + | 0.411456i | ||||
\(254\) | 20.1411 | − | 1.41992i | 1.26377 | − | 0.0890936i | ||||
\(255\) | 8.97167 | − | 11.0622i | 0.561828 | − | 0.692741i | ||||
\(256\) | −17.7575 | + | 11.0505i | −1.10984 | + | 0.690659i | ||||
\(257\) | −11.7496 | + | 8.17439i | −0.732922 | + | 0.509904i | −0.877493 | − | 0.479590i | \(-0.840785\pi\) |
0.144571 | + | 0.989494i | \(0.453820\pi\) | |||||||
\(258\) | 8.87122 | + | 1.84217i | 0.552298 | + | 0.114689i | ||||
\(259\) | −1.07016 | + | 5.80342i | −0.0664965 | + | 0.360607i | ||||
\(260\) | −6.47751 | − | 3.69388i | −0.401718 | − | 0.229085i | ||||
\(261\) | 40.3049 | + | 2.32353i | 2.49481 | + | 0.143823i | ||||
\(262\) | −7.66516 | + | 7.49540i | −0.473555 | + | 0.463067i | ||||
\(263\) | 3.22192 | + | 13.1694i | 0.198672 | + | 0.812061i | 0.981756 | + | 0.190145i | \(0.0608960\pi\) |
−0.783084 | + | 0.621916i | \(0.786355\pi\) | |||||||
\(264\) | 3.38270 | − | 0.0865938i | 0.208191 | − | 0.00532948i | ||||
\(265\) | −2.28624 | − | 14.4647i | −0.140443 | − | 0.888560i | ||||
\(266\) | −1.84043 | − | 10.7502i | −0.112844 | − | 0.659135i | ||||
\(267\) | 7.14949 | + | 13.8450i | 0.437542 | + | 0.847301i | ||||
\(268\) | −7.45055 | + | 0.477364i | −0.455115 | + | 0.0291597i | ||||
\(269\) | 17.0394 | + | 19.1858i | 1.03891 | + | 1.16978i | 0.985232 | + | 0.171223i | \(0.0547719\pi\) |
0.0536755 | + | 0.998558i | \(0.482906\pi\) | |||||||
\(270\) | 25.6476 | − | 21.4898i | 1.56086 | − | 1.30783i | ||||
\(271\) | 0.953689 | − | 0.0183084i | 0.0579325 | − | 0.00111215i | 0.00978042 | − | 0.999952i | \(-0.496887\pi\) |
0.0481521 | + | 0.998840i | \(0.484667\pi\) | |||||||
\(272\) | 12.5797 | + | 15.1115i | 0.762755 | + | 0.916268i | ||||
\(273\) | 18.3979 | + | 4.19036i | 1.11349 | + | 0.253612i | ||||
\(274\) | 30.5834 | − | 5.94369i | 1.84761 | − | 0.359071i | ||||
\(275\) | −1.04237 | − | 2.98549i | −0.0628575 | − | 0.180032i | ||||
\(276\) | −30.7463 | + | 17.5335i | −1.85071 | + | 1.05539i | ||||
\(277\) | −13.2350 | + | 6.56849i | −0.795213 | + | 0.394662i | −0.795969 | − | 0.605337i | \(-0.793038\pi\) |
0.000756444 | 1.00000i | \(0.499759\pi\) | ||||||||
\(278\) | 16.1330 | + | 16.8183i | 0.967590 | + | 1.00869i | ||||
\(279\) | −23.5082 | + | 51.0039i | −1.40740 | + | 3.05352i | ||||
\(280\) | 1.27945 | + | 0.555320i | 0.0764617 | + | 0.0331867i | ||||
\(281\) | 2.59453 | + | 5.72523i | 0.154777 | + | 0.341539i | 0.972073 | − | 0.234679i | \(-0.0754038\pi\) |
−0.817296 | + | 0.576218i | \(0.804528\pi\) | |||||||
\(282\) | −17.1431 | − | 10.3662i | −1.02085 | − | 0.617299i | ||||
\(283\) | −23.2242 | − | 18.4687i | −1.38054 | − | 1.09785i | −0.983672 | − | 0.179970i | \(-0.942400\pi\) |
−0.396864 | − | 0.917877i | \(-0.629902\pi\) | |||||||
\(284\) | 7.56816 | − | 0.290685i | 0.449088 | − | 0.0172490i | ||||
\(285\) | −19.7172 | − | 3.57070i | −1.16795 | − | 0.211510i | ||||
\(286\) | −7.50204 | + | 2.53879i | −0.443605 | + | 0.150122i | ||||
\(287\) | −0.918845 | + | 1.62331i | −0.0542377 | + | 0.0958211i | ||||
\(288\) | 25.3648 | + | 46.1803i | 1.49463 | + | 2.72120i | ||||
\(289\) | −0.595853 | + | 0.653866i | −0.0350502 | + | 0.0384627i | ||||
\(290\) | −9.53164 | + | 0.549489i | −0.559717 | + | 0.0322671i | ||||
\(291\) | 14.5512 | + | 7.22172i | 0.853005 | + | 0.423344i | ||||
\(292\) | 1.05763 | + | 3.37212i | 0.0618930 | + | 0.197339i | ||||
\(293\) | −27.4086 | + | 7.17207i | −1.60123 | + | 0.418997i | −0.942722 | − | 0.333580i | \(-0.891743\pi\) |
−0.658504 | + | 0.752577i | \(0.728810\pi\) | |||||||
\(294\) | −35.5563 | − | 4.11323i | −2.07368 | − | 0.239889i | ||||
\(295\) | −0.899806 | + | 1.15406i | −0.0523887 | + | 0.0671922i | ||||
\(296\) | −4.58400 | + | 5.16145i | −0.266439 | + | 0.300003i | ||||
\(297\) | 0.406686 | − | 14.1208i | 0.0235983 | − | 0.819370i | ||||
\(298\) | 28.9926 | + | 2.04393i | 1.67949 | + | 0.118402i | ||||
\(299\) | −29.1811 | + | 31.2105i | −1.68759 | + | 1.80495i | ||||
\(300\) | 11.7494 | − | 12.4065i | 0.678354 | − | 0.716288i | ||||
\(301\) | 1.54377 | − | 0.320576i | 0.0889816 | − | 0.0184777i | ||||
\(302\) | −0.0798690 | − | 3.56590i | −0.00459595 | − | 0.205195i | ||||
\(303\) | −24.0095 | − | 52.0916i | −1.37931 | − | 2.99258i | ||||
\(304\) | 10.1139 | − | 25.7468i | 0.580074 | − | 1.47668i | ||||
\(305\) | −3.03846 | + | 0.878751i | −0.173982 | + | 0.0503172i | ||||
\(306\) | 47.9722 | − | 35.7051i | 2.74239 | − | 2.04113i | ||||
\(307\) | 5.92973 | − | 5.87309i | 0.338427 | − | 0.335195i | −0.514243 | − | 0.857645i | \(-0.671927\pi\) |
0.852670 | + | 0.522450i | \(0.174982\pi\) | |||||||
\(308\) | −1.03533 | + | 0.481215i | −0.0589933 | + | 0.0274197i | ||||
\(309\) | 10.8042 | + | 13.1489i | 0.614631 | + | 0.748015i | ||||
\(310\) | 4.13649 | − | 12.6208i | 0.234937 | − | 0.716813i | ||||
\(311\) | −15.0126 | + | 10.0224i | −0.851289 | + | 0.568321i | −0.902658 | − | 0.430359i | \(-0.858387\pi\) |
0.0513691 | + | 0.998680i | \(0.483642\pi\) | |||||||
\(312\) | 15.8799 | + | 15.3307i | 0.899022 | + | 0.867928i | ||||
\(313\) | 33.6796 | + | 6.76933i | 1.90368 | + | 0.382625i | 0.999051 | − | 0.0435650i | \(-0.0138716\pi\) |
0.904634 | + | 0.426190i | \(0.140144\pi\) | |||||||
\(314\) | −31.6023 | + | 14.1997i | −1.78342 | + | 0.801334i | ||||
\(315\) | 4.11518 | − | 8.22557i | 0.231864 | − | 0.463459i | ||||
\(316\) | −1.32091 | − | 0.720025i | −0.0743070 | − | 0.0405046i | ||||
\(317\) | 5.03437 | − | 2.53882i | 0.282758 | − | 0.142594i | −0.303221 | − | 0.952920i | \(-0.598062\pi\) |
0.585980 | + | 0.810326i | \(0.300710\pi\) | |||||||
\(318\) | 7.78630 | − | 83.6848i | 0.436634 | − | 4.69281i | ||||
\(319\) | −2.49874 | + | 3.16287i | −0.139903 | + | 0.177087i | ||||
\(320\) | −1.19484 | − | 1.68274i | −0.0667934 | − | 0.0940681i | ||||
\(321\) | −15.8081 | + | 18.0306i | −0.882324 | + | 1.00637i | ||||
\(322\) | −9.29151 | + | 12.4007i | −0.517795 | + | 0.691065i | ||||
\(323\) | −22.0397 | − | 5.31737i | −1.22632 | − | 0.295867i | ||||
\(324\) | 39.6315 | − | 19.0409i | 2.20175 | − | 1.05783i | ||||
\(325\) | 9.11088 | − | 18.5061i | 0.505381 | − | 1.02653i | ||||
\(326\) | 1.43672 | − | 19.4904i | 0.0795726 | − | 1.07947i | ||||
\(327\) | 8.20306 | + | 42.9423i | 0.453630 | + | 2.37471i | ||||
\(328\) | −1.90234 | + | 1.06876i | −0.105039 | + | 0.0590125i | ||||
\(329\) | −3.45482 | − | 0.467023i | −0.190471 | − | 0.0257478i | ||||
\(330\) | 0.455248 | + | 5.25732i | 0.0250606 | + | 0.289406i | ||||
\(331\) | 5.51880 | + | 2.31186i | 0.303341 | + | 0.127071i | 0.532786 | − | 0.846250i | \(-0.321145\pi\) |
−0.229445 | + | 0.973322i | \(0.573691\pi\) | |||||||
\(332\) | −14.2953 | − | 5.14559i | −0.784556 | − | 0.282401i | ||||
\(333\) | 32.3428 | + | 32.0339i | 1.77237 | + | 1.75545i | ||||
\(334\) | 42.0684 | + | 5.96113i | 2.30188 | + | 0.326179i | ||||
\(335\) | 0.747289 | + | 5.95832i | 0.0408288 | + | 0.325538i | ||||
\(336\) | 13.7213 | + | 10.6279i | 0.748558 | + | 0.579797i | ||||
\(337\) | −10.3592 | + | 16.5285i | −0.564301 | + | 0.900363i | 0.435699 | + | 0.900093i | \(0.356501\pi\) |
−1.00000 | 0.000269884i | \(0.999914\pi\) | ||||||||
\(338\) | −24.9802 | − | 12.5975i | −1.35874 | − | 0.685211i | ||||
\(339\) | 1.05894 | + | 1.53253i | 0.0575139 | + | 0.0832356i | ||||
\(340\) | −4.09393 | + | 3.85235i | −0.222025 | + | 0.208923i | ||||
\(341\) | −2.82430 | − | 4.84400i | −0.152944 | − | 0.262317i | ||||
\(342\) | −76.5190 | − | 34.9720i | −4.13768 | − | 1.89107i | ||||
\(343\) | −13.0615 | + | 3.95931i | −0.705254 | + | 0.213783i | ||||
\(344\) | 1.73936 | + | 0.613539i | 0.0937798 | + | 0.0330798i | ||||
\(345\) | 15.5790 | + | 23.8279i | 0.838745 | + | 1.28285i | ||||
\(346\) | −5.94462 | + | 42.9403i | −0.319585 | + | 2.30849i | ||||
\(347\) | 3.78926 | + | 1.67355i | 0.203418 | + | 0.0898407i | 0.503211 | − | 0.864164i | \(-0.332152\pi\) |
−0.299793 | + | 0.954004i | \(0.596918\pi\) | |||||||
\(348\) | −21.3805 | − | 4.15516i | −1.14611 | − | 0.222740i | ||||
\(349\) | −2.34204 | − | 16.1558i | −0.125367 | − | 0.864800i | −0.952879 | − | 0.303352i | \(-0.901894\pi\) |
0.827512 | − | 0.561448i | \(-0.189756\pi\) | |||||||
\(350\) | 2.55604 | − | 7.03043i | 0.136626 | − | 0.375792i | ||||
\(351\) | 67.5111 | − | 62.7178i | 3.60348 | − | 3.34763i | ||||
\(352\) | −5.22937 | − | 0.571064i | −0.278727 | − | 0.0304378i | ||||
\(353\) | −14.3262 | − | 14.3721i | −0.762505 | − | 0.764948i | 0.214829 | − | 0.976652i | \(-0.431080\pi\) |
−0.977334 | + | 0.211704i | \(0.932099\pi\) | |||||||
\(354\) | −6.63988 | + | 5.14294i | −0.352906 | + | 0.273344i | ||||
\(355\) | −0.603161 | − | 6.06187i | −0.0320125 | − | 0.321730i | ||||
\(356\) | −2.06433 | − | 5.79314i | −0.109409 | − | 0.307036i | ||||
\(357\) | 7.08620 | − | 12.3343i | 0.375042 | − | 0.652803i | ||||
\(358\) | −10.4299 | + | 10.7346i | −0.551236 | + | 0.567340i | ||||
\(359\) | 4.07811 | − | 2.12247i | 0.215235 | − | 0.112020i | −0.350642 | − | 0.936509i | \(-0.614037\pi\) |
0.565877 | + | 0.824490i | \(0.308538\pi\) | |||||||
\(360\) | 9.09817 | − | 5.74289i | 0.479516 | − | 0.302677i | ||||
\(361\) | 3.38432 | + | 12.4445i | 0.178122 | + | 0.654972i | ||||
\(362\) | 35.1096 | − | 4.97506i | 1.84532 | − | 0.261483i | ||||
\(363\) | −27.7127 | − | 20.6263i | −1.45454 | − | 1.08260i | ||||
\(364\) | −6.97434 | − | 2.61170i | −0.365555 | − | 0.136890i | ||||
\(365\) | 2.65562 | − | 1.01388i | 0.139002 | − | 0.0530688i | ||||
\(366\) | −18.1437 | + | 0.580646i | −0.948385 | + | 0.0303509i | ||||
\(367\) | −2.33071 | − | 20.7282i | −0.121662 | − | 1.08200i | −0.894397 | − | 0.447273i | \(-0.852395\pi\) |
0.772736 | − | 0.634728i | \(-0.218888\pi\) | |||||||
\(368\) | −36.4402 | + | 14.7198i | −1.89957 | + | 0.767321i | ||||
\(369\) | 6.35543 | + | 12.9092i | 0.330851 | + | 0.672027i | ||||
\(370\) | −8.46859 | − | 6.64650i | −0.440261 | − | 0.345535i | ||||
\(371\) | −4.55519 | − | 13.8983i | −0.236494 | − | 0.721564i | ||||
\(372\) | 16.2544 | − | 25.5695i | 0.842754 | − | 1.32572i | ||||
\(373\) | 0.147129 | − | 3.53561i | 0.00761803 | − | 0.183067i | −0.991125 | − | 0.132936i | \(-0.957560\pi\) |
0.998743 | − | 0.0501311i | \(-0.0159639\pi\) | |||||||
\(374\) | 0.171888 | + | 5.96822i | 0.00888812 | + | 0.308609i | ||||
\(375\) | −24.1322 | − | 20.2201i | −1.24618 | − | 1.04416i | ||||
\(376\) | −3.17559 | − | 2.55867i | −0.163768 | − | 0.131953i | ||||
\(377\) | −26.1377 | + | 2.85431i | −1.34616 | + | 0.147005i | ||||
\(378\) | 21.8696 | − | 25.2686i | 1.12485 | − | 1.29968i | ||||
\(379\) | −3.31423 | − | 1.02784i | −0.170241 | − | 0.0527964i | 0.209912 | − | 0.977720i | \(-0.432682\pi\) |
−0.380152 | + | 0.924924i | \(0.624128\pi\) | |||||||
\(380\) | 7.52311 | + | 2.43909i | 0.385927 | + | 0.125122i | ||||
\(381\) | 4.37523 | − | 36.7897i | 0.224150 | − | 1.88479i | ||||
\(382\) | −9.08035 | + | 8.65473i | −0.464591 | + | 0.442815i | ||||
\(383\) | 1.05432 | + | 1.97915i | 0.0538732 | + | 0.101130i | 0.908067 | − | 0.418825i | \(-0.137558\pi\) |
−0.854194 | + | 0.519955i | \(0.825949\pi\) | |||||||
\(384\) | 11.2362 | + | 29.1505i | 0.573396 | + | 1.48758i | ||||
\(385\) | 0.436928 | + | 0.807698i | 0.0222679 | + | 0.0411641i | ||||
\(386\) | −29.7572 | + | 15.7301i | −1.51460 | + | 0.800639i | ||||
\(387\) | 4.66339 | − | 11.2330i | 0.237053 | − | 0.571005i | ||||
\(388\) | −5.30950 | − | 3.59395i | −0.269549 | − | 0.182455i | ||||
\(389\) | 22.4960 | + | 8.26040i | 1.14059 | + | 0.418819i | 0.844084 | − | 0.536211i | \(-0.180145\pi\) |
0.296509 | + | 0.955030i | \(0.404178\pi\) | |||||||
\(390\) | −22.3594 | + | 26.1710i | −1.13221 | + | 1.32522i | ||||
\(391\) | 16.0461 | + | 27.9301i | 0.811487 | + | 1.41249i | ||||
\(392\) | −7.06060 | − | 1.79938i | −0.356614 | − | 0.0908823i | ||||
\(393\) | 10.8701 | + | 16.3957i | 0.548323 | + | 0.827052i | ||||
\(394\) | 0.148493 | − | 2.43993i | 0.00748095 | − | 0.122922i | ||||
\(395\) | −0.513529 | + | 1.09567i | −0.0258384 | + | 0.0551291i | ||||
\(396\) | −1.43055 | + | 8.68997i | −0.0718881 | + | 0.436687i | ||||
\(397\) | 1.94251 | − | 28.8703i | 0.0974916 | − | 1.44896i | −0.637274 | − | 0.770637i | \(-0.719938\pi\) |
0.734766 | − | 0.678321i | \(-0.237292\pi\) | |||||||
\(398\) | −4.68472 | − | 5.85247i | −0.234824 | − | 0.293358i | ||||
\(399\) | −20.0089 | − | 0.384119i | −1.00170 | − | 0.0192300i | ||||
\(400\) | 14.7741 | − | 11.9039i | 0.738703 | − | 0.595196i | ||||
\(401\) | 4.39696 | − | 4.41105i | 0.219574 | − | 0.220277i | −0.589834 | − | 0.807525i | \(-0.700807\pi\) |
0.809407 | + | 0.587247i | \(0.199788\pi\) | |||||||
\(402\) | −4.28883 | + | 34.1959i | −0.213907 | + | 1.70554i | ||||
\(403\) | 9.59836 | − | 35.2941i | 0.478128 | − | 1.75812i | ||||
\(404\) | 6.63652 | + | 21.6438i | 0.330179 | + | 1.07682i | ||||
\(405\) | −17.2233 | − | 30.8876i | −0.855835 | − | 1.53482i | ||||
\(406\) | −9.31065 | + | 2.05805i | −0.462080 | + | 0.102139i | ||||
\(407\) | −4.47225 | + | 0.809905i | −0.221681 | + | 0.0401455i | ||||
\(408\) | 14.5592 | − | 8.05743i | 0.720786 | − | 0.398902i | ||||
\(409\) | −6.26840 | − | 6.96773i | −0.309952 | − | 0.344532i | 0.568220 | − | 0.822877i | \(-0.307632\pi\) |
−0.878172 | + | 0.478344i | \(0.841237\pi\) | |||||||
\(410\) | −1.84385 | − | 2.85994i | −0.0910615 | − | 0.141242i | ||||
\(411\) | −0.182890 | − | 57.1675i | −0.00902128 | − | 2.81986i | ||||
\(412\) | −3.53060 | − | 5.71411i | −0.173940 | − | 0.281514i | ||||
\(413\) | −0.703611 | + | 1.28103i | −0.0346224 | + | 0.0630353i | ||||
\(414\) | 38.6782 | + | 113.100i | 1.90093 | + | 5.55854i | ||||
\(415\) | −3.43264 | + | 11.7283i | −0.168502 | + | 0.575722i | ||||
\(416\) | −21.2716 | − | 26.9253i | −1.04293 | − | 1.32012i | ||||
\(417\) | 35.8663 | − | 23.2864i | 1.75638 | − | 1.14034i | ||||
\(418\) | 7.24301 | − | 4.25415i | 0.354267 | − | 0.208078i | ||||
\(419\) | −6.40157 | + | 5.43389i | −0.312737 | + | 0.265463i | −0.789744 | − | 0.613436i | \(-0.789787\pi\) |
0.477007 | + | 0.878899i | \(0.341722\pi\) | |||||||
\(420\) | −2.79460 | + | 4.10027i | −0.136362 | + | 0.200073i | ||||
\(421\) | 2.35521 | − | 0.241957i | 0.114786 | − | 0.0117923i | −0.0446319 | − | 0.999004i | \(-0.514211\pi\) |
0.159418 | + | 0.987211i | \(0.449038\pi\) | |||||||
\(422\) | 49.9242 | + | 8.05463i | 2.43027 | + | 0.392093i | ||||
\(423\) | −17.9861 | + | 19.9927i | −0.874513 | + | 0.972078i | ||||
\(424\) | 3.85281 | − | 16.6694i | 0.187109 | − | 0.809538i | ||||
\(425\) | −11.3249 | − | 10.6566i | −0.549338 | − | 0.516922i | ||||
\(426\) | 5.23714 | − | 34.5675i | 0.253740 | − | 1.67480i | ||||
\(427\) | −2.85609 | + | 1.34978i | −0.138216 | + | 0.0653206i | ||||
\(428\) | 7.13628 | − | 6.21640i | 0.344945 | − | 0.300481i | ||||
\(429\) | 1.99285 | + | 14.3952i | 0.0962158 | + | 0.695005i | ||||
\(430\) | −0.790260 | + | 2.76561i | −0.0381097 | + | 0.133370i | ||||
\(431\) | 3.72030 | + | 18.8212i | 0.179200 | + | 0.906584i | 0.959614 | + | 0.281321i | \(0.0907724\pi\) |
−0.780413 | + | 0.625264i | \(0.784991\pi\) | |||||||
\(432\) | 80.6265 | − | 26.1401i | 3.87914 | − | 1.25767i | ||||
\(433\) | −8.55035 | + | 0.109422i | −0.410903 | + | 0.00525850i | −0.217975 | − | 0.975954i | \(-0.569945\pi\) |
−0.192928 | + | 0.981213i | \(0.561799\pi\) | |||||||
\(434\) | 2.07085 | − | 13.1019i | 0.0994039 | − | 0.628913i | ||||
\(435\) | −2.29129 | + | 17.3683i | −0.109859 | + | 0.832745i | ||||
\(436\) | −0.937970 | − | 17.2295i | −0.0449206 | − | 0.825144i | ||||
\(437\) | 23.5728 | − | 38.7032i | 1.12764 | − | 1.85142i | ||||
\(438\) | 16.2060 | − | 1.87475i | 0.774354 | − | 0.0895791i | ||||
\(439\) | −16.4571 | + | 6.40402i | −0.785453 | + | 0.305647i | −0.721598 | − | 0.692312i | \(-0.756592\pi\) |
−0.0638552 | + | 0.997959i | \(0.520340\pi\) | |||||||
\(440\) | −0.0515291 | + | 1.07297i | −0.00245655 | + | 0.0511520i | ||||
\(441\) | −14.3791 | + | 45.8461i | −0.684719 | + | 2.18315i | ||||
\(442\) | −26.9610 | + | 28.1063i | −1.28241 | + | 1.33688i | ||||
\(443\) | −13.1109 | − | 33.3762i | −0.622920 | − | 1.58575i | −0.798970 | − | 0.601372i | \(-0.794621\pi\) |
0.176050 | − | 0.984381i | \(-0.443668\pi\) | |||||||
\(444\) | −14.9764 | − | 19.4639i | −0.710751 | − | 0.923716i | ||||
\(445\) | −4.55014 | + | 1.94040i | −0.215697 | + | 0.0919837i | ||||
\(446\) | 28.4949 | + | 40.6796i | 1.34927 | + | 1.92623i | ||||
\(447\) | 13.6657 | − | 51.5502i | 0.646363 | − | 2.43824i | ||||
\(448\) | −1.44578 | − | 1.46909i | −0.0683065 | − | 0.0694079i | ||||
\(449\) | 31.3995 | − | 4.85999i | 1.48184 | − | 0.229357i | 0.639701 | − | 0.768624i | \(-0.279058\pi\) |
0.842135 | + | 0.539267i | \(0.181299\pi\) | |||||||
\(450\) | −33.7087 | − | 46.8357i | −1.58904 | − | 2.20786i | ||||
\(451\) | −1.41971 | − | 0.219742i | −0.0668517 | − | 0.0103472i | ||||
\(452\) | −0.333151 | − | 0.655400i | −0.0156701 | − | 0.0308274i | ||||
\(453\) | −6.45440 | − | 1.08375i | −0.303254 | − | 0.0509191i | ||||
\(454\) | 20.4944 | − | 4.39277i | 0.961848 | − | 0.206163i | ||||
\(455\) | −1.75602 | + | 5.72693i | −0.0823235 | + | 0.268483i | ||||
\(456\) | −19.7964 | − | 12.4957i | −0.927050 | − | 0.585167i | ||||
\(457\) | 30.5866 | + | 2.55003i | 1.43078 | + | 0.119286i | 0.773230 | − | 0.634125i | \(-0.218640\pi\) |
0.657550 | + | 0.753411i | \(0.271593\pi\) | |||||||
\(458\) | −3.60170 | − | 2.14656i | −0.168296 | − | 0.100302i | ||||
\(459\) | −30.2842 | − | 62.5199i | −1.41354 | − | 2.91818i | ||||
\(460\) | −4.83350 | − | 10.1434i | −0.225363 | − | 0.472938i | ||||
\(461\) | −0.0647724 | + | 0.161839i | −0.00301675 | + | 0.00753760i | −0.929905 | − | 0.367801i | \(-0.880111\pi\) |
0.926888 | + | 0.375338i | \(0.122473\pi\) | |||||||
\(462\) | 1.28518 | + | 5.11122i | 0.0597921 | + | 0.237795i | ||||
\(463\) | −2.74841 | + | 2.45670i | −0.127730 | + | 0.114172i | −0.727847 | − | 0.685739i | \(-0.759479\pi\) |
0.600117 | + | 0.799912i | \(0.295120\pi\) | |||||||
\(464\) | −22.9082 | − | 7.75245i | −1.06349 | − | 0.359899i | ||||
\(465\) | −21.3226 | − | 11.8005i | −0.988811 | − | 0.547234i | ||||
\(466\) | −3.70225 | − | 16.0180i | −0.171503 | − | 0.742021i | ||||
\(467\) | −6.42208 | + | 11.0146i | −0.297178 | + | 0.509694i | −0.974028 | − | 0.226427i | \(-0.927296\pi\) |
0.676850 | + | 0.736121i | \(0.263345\pi\) | |||||||
\(468\) | −46.9468 | + | 33.1094i | −2.17012 | + | 1.53048i | ||||
\(469\) | 1.68464 | + | 5.75594i | 0.0777896 | + | 0.265785i | ||||
\(470\) | 3.68199 | − | 5.18552i | 0.169838 | − | 0.239190i | ||||
\(471\) | 14.7120 | + | 61.8463i | 0.677895 | + | 2.84973i | ||||
\(472\) | −1.47971 | + | 0.856417i | −0.0681092 | + | 0.0394198i | ||||
\(473\) | 0.651461 | + | 1.02480i | 0.0299542 | + | 0.0471203i | ||||
\(474\) | −4.40886 | + | 5.36565i | −0.202506 | + | 0.246452i | ||||
\(475\) | −5.47049 | + | 21.1823i | −0.251003 | + | 0.971912i | ||||
\(476\) | −3.42374 | + | 4.44961i | −0.156927 | + | 0.203948i | ||||
\(477\) | −108.380 | − | 31.3445i | −4.96238 | − | 1.43516i | ||||
\(478\) | −51.1115 | + | 19.1399i | −2.33779 | + | 0.875437i | ||||
\(479\) | 29.8200 | − | 26.3136i | 1.36251 | − | 1.20230i | 0.404853 | − | 0.914382i | \(-0.367323\pi\) |
0.957656 | − | 0.287916i | \(-0.0929623\pi\) | |||||||
\(480\) | −20.7942 | + | 9.50370i | −0.949121 | + | 0.433783i | ||||
\(481\) | −24.2279 | − | 17.0868i | −1.10470 | − | 0.779089i | ||||
\(482\) | −10.9523 | + | 32.0259i | −0.498865 | + | 1.45874i | ||||
\(483\) | 19.1511 | + | 21.0157i | 0.871406 | + | 0.956248i | ||||
\(484\) | 9.74860 | + | 9.53269i | 0.443118 | + | 0.433304i | ||||
\(485\) | −2.62596 | + | 4.43832i | −0.119239 | + | 0.201534i | ||||
\(486\) | −27.7721 | − | 104.763i | −1.25977 | − | 4.75215i | ||||
\(487\) | 2.97104 | − | 3.52291i | 0.134631 | − | 0.159638i | −0.692949 | − | 0.720987i | \(-0.743689\pi\) |
0.827579 | + | 0.561349i | \(0.189717\pi\) | |||||||
\(488\) | −3.67596 | − | 0.377642i | −0.166403 | − | 0.0170950i | ||||
\(489\) | −34.6334 | − | 9.29977i | −1.56617 | − | 0.420550i | ||||
\(490\) | 2.13204 | − | 11.1610i | 0.0963157 | − | 0.504203i | ||||
\(491\) | 8.43156 | + | 25.1799i | 0.380511 | + | 1.13635i | 0.949435 | + | 0.313964i | \(0.101657\pi\) |
−0.568924 | + | 0.822390i | \(0.692640\pi\) | |||||||
\(492\) | −2.46486 | − | 7.36104i | −0.111125 | − | 0.331861i | ||||
\(493\) | −3.71921 | + | 19.4697i | −0.167505 | + | 0.876871i | ||||
\(494\) | 52.9183 | + | 14.2097i | 2.38091 | + | 0.639323i | ||||
\(495\) | 7.04661 | + | 0.723918i | 0.316721 | + | 0.0325377i | ||||
\(496\) | 21.6892 | − | 25.7179i | 0.973872 | − | 1.15477i | ||||
\(497\) | −1.55901 | − | 5.88096i | −0.0699310 | − | 0.263797i | ||||
\(498\) | −35.7131 | + | 60.3612i | −1.60034 | + | 2.70485i | ||||
\(499\) | 10.8266 | + | 10.5868i | 0.484663 | + | 0.473929i | 0.900094 | − | 0.435695i | \(-0.143498\pi\) |
−0.415431 | + | 0.909625i | \(0.636369\pi\) | |||||||
\(500\) | 8.36964 | + | 9.18453i | 0.374302 | + | 0.410745i | ||||
\(501\) | 25.2276 | − | 73.7684i | 1.12708 | − | 3.29573i | ||||
\(502\) | −4.31718 | − | 3.04470i | −0.192685 | − | 0.135892i | ||||
\(503\) | −11.9242 | + | 5.44980i | −0.531675 | + | 0.242995i | −0.663365 | − | 0.748296i | \(-0.730872\pi\) |
0.131690 | + | 0.991291i | \(0.457960\pi\) | |||||||
\(504\) | 8.05711 | − | 7.10971i | 0.358892 | − | 0.316692i | ||||
\(505\) | 17.0524 | − | 6.38564i | 0.758820 | − | 0.284157i | ||||
\(506\) | −11.4644 | − | 3.31560i | −0.509653 | − | 0.147396i | ||||
\(507\) | −31.3051 | + | 40.6851i | −1.39031 | + | 1.80689i | ||||
\(508\) | −3.65642 | + | 14.1581i | −0.162227 | + | 0.628162i | ||||
\(509\) | 4.80101 | − | 5.84290i | 0.212801 | − | 0.258982i | −0.655301 | − | 0.755368i | \(-0.727458\pi\) |
0.868102 | + | 0.496386i | \(0.165340\pi\) | |||||||
\(510\) | 13.9215 | + | 21.8995i | 0.616452 | + | 0.969727i | ||||
\(511\) | 2.45712 | − | 1.42212i | 0.108697 | − | 0.0629107i | ||||
\(512\) | −4.49337 | − | 18.8892i | −0.198581 | − | 0.834791i | ||||
\(513\) | −56.5823 | + | 79.6874i | −2.49817 | + | 3.51828i | ||||
\(514\) | −7.32525 | − | 25.0283i | −0.323103 | − | 1.10395i | ||||
\(515\) | −4.41505 | + | 3.11372i | −0.194550 | + | 0.137207i | ||||
\(516\) | −3.30504 | + | 5.66852i | −0.145496 | + | 0.249543i | ||||
\(517\) | −0.604647 | − | 2.61604i | −0.0265923 | − | 0.115053i | ||||
\(518\) | −9.40721 | − | 5.20620i | −0.413329 | − | 0.228747i | ||||
\(519\) | 75.3456 | + | 25.4980i | 3.30730 | + | 1.11924i | ||||
\(520\) | −5.22424 | + | 4.66974i | −0.229098 | + | 0.204782i | ||||
\(521\) | −2.89409 | − | 11.5099i | −0.126792 | − | 0.504259i | −0.999861 | − | 0.0166614i | \(-0.994696\pi\) |
0.873069 | − | 0.487597i | \(-0.162127\pi\) | |||||||
\(522\) | −27.3310 | + | 68.2887i | −1.19625 | + | 2.98892i | ||||
\(523\) | −13.5441 | − | 28.4230i | −0.592241 | − | 1.24285i | −0.950933 | − | 0.309396i | \(-0.899873\pi\) |
0.358692 | − | 0.933456i | \(-0.383223\pi\) | |||||||
\(524\) | −3.38469 | − | 6.98749i | −0.147861 | − | 0.305250i | ||||
\(525\) | −11.7911 | − | 7.02730i | −0.514605 | − | 0.306697i | ||||
\(526\) | −24.6161 | − | 2.05227i | −1.07331 | − | 0.0894832i | ||||
\(527\) | −23.3172 | − | 14.7181i | −1.01571 | − | 0.641132i | ||||
\(528\) | −3.91858 | + | 12.7797i | −0.170534 | + | 0.556166i | ||||
\(529\) | −40.4647 | + | 8.67323i | −1.75933 | + | 0.377097i | ||||
\(530\) | 26.3126 | + | 4.41813i | 1.14295 | + | 0.191911i | ||||
\(531\) | 5.10872 | + | 10.0503i | 0.221700 | + | 0.436144i | ||||
\(532\) | 7.80568 | + | 1.20816i | 0.338419 | + | 0.0523802i | ||||
\(533\) | −5.47417 | − | 7.60595i | −0.237113 | − | 0.329450i | ||||
\(534\) | −28.0554 | + | 4.34239i | −1.21408 | + | 0.187914i | ||||
\(535\) | −5.33950 | − | 5.42560i | −0.230847 | − | 0.234569i | ||||
\(536\) | −1.79771 | + | 6.78139i | −0.0776490 | + | 0.292912i | ||||
\(537\) | 15.7563 | + | 22.4938i | 0.679933 | + | 0.970678i | ||||
\(538\) | −43.0039 | + | 18.3389i | −1.85403 | + | 0.790648i | ||||
\(539\) | −2.92544 | − | 3.80201i | −0.126008 | − | 0.163764i | ||||
\(540\) | 8.85998 | + | 22.5546i | 0.381273 | + | 0.970597i | ||||
\(541\) | −11.4654 | + | 11.9525i | −0.492938 | + | 0.513877i | −0.920836 | − | 0.389950i | \(-0.872492\pi\) |
0.427899 | + | 0.903827i | \(0.359254\pi\) | |||||||
\(542\) | −0.520087 | + | 1.65824i | −0.0223397 | + | 0.0712274i | ||||
\(543\) | 3.12119 | − | 64.9916i | 0.133943 | − | 2.78906i | ||||
\(544\) | −24.1077 | + | 9.38112i | −1.03361 | + | 0.402212i | ||||
\(545\) | −13.7868 | + | 1.59489i | −0.590563 | + | 0.0683177i | ||||
\(546\) | −17.8829 | + | 29.3611i | −0.765315 | + | 1.25654i | ||||
\(547\) | −0.925698 | − | 17.0041i | −0.0395800 | − | 0.727042i | −0.949789 | − | 0.312892i | \(-0.898702\pi\) |
0.910209 | − | 0.414150i | \(-0.135921\pi\) | |||||||
\(548\) | −2.95105 | + | 22.3693i | −0.126062 | + | 0.955570i | ||||
\(549\) | −3.80430 | + | 24.0693i | −0.162364 | + | 1.02725i | ||||
\(550\) | 5.76092 | − | 0.0737249i | 0.245647 | − | 0.00314364i | ||||
\(551\) | 26.5271 | − | 8.60041i | 1.13009 | − | 0.366390i | ||||
\(552\) | 6.44957 | + | 32.6287i | 0.274512 | + | 1.38877i | ||||
\(553\) | −0.332037 | + | 1.16200i | −0.0141197 | + | 0.0494134i | ||||
\(554\) | −3.69153 | − | 26.6654i | −0.156838 | − | 1.13290i | ||||
\(555\) | −14.8948 | + | 12.9748i | −0.632248 | + | 0.550750i | ||||
\(556\) | −15.2594 | + | 7.21158i | −0.647144 | + | 0.305839i | ||||
\(557\) | 4.88133 | − | 32.2189i | 0.206828 | − | 1.36516i | −0.611880 | − | 0.790951i | \(-0.709586\pi\) |
0.818708 | − | 0.574210i | \(-0.194691\pi\) | |||||||
\(558\) | −74.5175 | − | 70.1202i | −3.15458 | − | 2.96843i | ||||
\(559\) | −1.78379 | + | 7.71766i | −0.0754461 | + | 0.326422i | ||||
\(560\) | −3.68497 | + | 4.09609i | −0.155719 | + | 0.173091i | ||||
\(561\) | 10.8158 | + | 1.74500i | 0.456645 | + | 0.0736738i | ||||
\(562\) | −11.3922 | + | 1.17035i | −0.480550 | + | 0.0493683i | ||||
\(563\) | 8.63615 | − | 12.6711i | 0.363970 | − | 0.534021i | −0.600011 | − | 0.799992i | \(-0.704837\pi\) |
0.963981 | + | 0.265971i | \(0.0856924\pi\) | |||||||
\(564\) | 11.0609 | − | 9.38891i | 0.465748 | − | 0.395344i | ||||
\(565\) | −0.509908 | + | 0.299493i | −0.0214520 | + | 0.0125998i | ||||
\(566\) | 45.3429 | − | 29.4391i | 1.90590 | − | 1.23742i | ||||
\(567\) | −21.8955 | − | 27.7149i | −0.919523 | − | 1.16392i | ||||
\(568\) | 1.99914 | − | 6.83049i | 0.0838821 | − | 0.286601i | ||||
\(569\) | −10.8627 | − | 31.7637i | −0.455387 | − | 1.33160i | −0.900003 | − | 0.435884i | \(-0.856436\pi\) |
0.444616 | − | 0.895721i | \(-0.353340\pi\) | |||||||
\(570\) | 17.5755 | − | 31.9988i | 0.736157 | − | 1.34028i | ||||
\(571\) | −14.2919 | − | 23.1308i | −0.598097 | − | 0.967993i | −0.998661 | − | 0.0517248i | \(-0.983528\pi\) |
0.400565 | − | 0.916269i | \(-0.368814\pi\) | |||||||
\(572\) | −0.0183495 | − | 5.73568i | −0.000767232 | − | 0.239821i | ||||
\(573\) | 12.4723 | + | 19.3454i | 0.521040 | + | 0.808167i | ||||
\(574\) | −2.27296 | − | 2.52655i | −0.0948716 | − | 0.105456i | ||||
\(575\) | 27.1952 | − | 15.0506i | 1.13412 | − | 0.627652i | ||||
\(576\) | −15.6453 | + | 2.83329i | −0.651887 | + | 0.118054i | ||||
\(577\) | 31.0363 | − | 6.86033i | 1.29206 | − | 0.285599i | 0.484190 | − | 0.874963i | \(-0.339114\pi\) |
0.807868 | + | 0.589363i | \(0.200621\pi\) | |||||||
\(578\) | −0.784949 | − | 1.40770i | −0.0326496 | − | 0.0585524i | ||||
\(579\) | 18.1055 | + | 59.0478i | 0.752440 | + | 2.45394i | ||||
\(580\) | 1.81448 | − | 6.67202i | 0.0753422 | − | 0.277041i | ||||
\(581\) | −1.51883 | + | 12.1100i | −0.0630118 | + | 0.502409i | ||||
\(582\) | −20.8946 | + | 20.9616i | −0.866110 | + | 0.868885i | ||||
\(583\) | 8.77141 | − | 7.06740i | 0.363275 | − | 0.292702i | ||||
\(584\) | 3.32037 | + | 0.0637425i | 0.137398 | + | 0.00263769i | ||||
\(585\) | 28.8756 | + | 36.0734i | 1.19386 | + | 1.49145i | ||||
\(586\) | 3.46524 | − | 51.5016i | 0.143148 | − | 2.12751i | ||||
\(587\) | −0.540176 | + | 3.28132i | −0.0222954 | + | 0.135435i | −0.995541 | − | 0.0943348i | \(-0.969928\pi\) |
0.973245 | + | 0.229769i | \(0.0737972\pi\) | |||||||
\(588\) | 11.0010 | − | 23.4717i | 0.453672 | − | 0.967957i | ||||
\(589\) | −2.35653 | + | 38.7209i | −0.0970990 | + | 1.59547i | ||||
\(590\) | −1.47328 | − | 2.22219i | −0.0606539 | − | 0.0914861i | ||||
\(591\) | −4.34642 | − | 1.10767i | −0.178788 | − | 0.0455636i | ||||
\(592\) | −13.5843 | − | 23.6450i | −0.558312 | − | 0.971805i | ||||
\(593\) | −8.41014 | + | 9.84381i | −0.345363 | + | 0.404237i | −0.905626 | − | 0.424078i | \(-0.860598\pi\) |
0.560263 | + | 0.828315i | \(0.310700\pi\) | |||||||
\(594\) | 24.1605 | + | 8.87161i | 0.991319 | + | 0.364006i | ||||
\(595\) | 3.73964 | + | 2.53133i | 0.153310 | + | 0.103774i | ||||
\(596\) | −8.07056 | + | 19.4401i | −0.330583 | + | 0.796296i | ||||
\(597\) | −12.1609 | + | 6.42842i | −0.497714 | + | 0.263098i | ||||
\(598\) | −37.0395 | − | 68.4705i | −1.51466 | − | 2.79997i | ||||
\(599\) | −1.72441 | − | 4.47368i | −0.0704573 | − | 0.182790i | 0.893367 | − | 0.449327i | \(-0.148336\pi\) |
−0.963825 | + | 0.266537i | \(0.914120\pi\) | |||||||
\(600\) | −7.54927 | − | 14.1714i | −0.308198 | − | 0.578544i | ||||
\(601\) | −4.67136 | + | 4.45240i | −0.190549 | + | 0.181617i | −0.779211 | − | 0.626762i | \(-0.784380\pi\) |
0.588662 | + | 0.808379i | \(0.299655\pi\) | |||||||
\(602\) | −0.339243 | + | 2.85256i | −0.0138265 | + | 0.116262i | ||||
\(603\) | 44.0082 | + | 14.2680i | 1.79215 | + | 0.581038i | ||||
\(604\) | 2.46718 | + | 0.765142i | 0.100388 | + | 0.0311332i | ||||
\(605\) | 7.17697 | − | 8.29240i | 0.291785 | − | 0.337134i | ||||
\(606\) | 103.886 | − | 11.3447i | 4.22008 | − | 0.460845i | ||||
\(607\) | 31.2558 | + | 25.1838i | 1.26864 | + | 1.02218i | 0.998232 | + | 0.0594316i | \(0.0189288\pi\) |
0.270403 | + | 0.962747i | \(0.412843\pi\) | |||||||
\(608\) | 27.8957 | + | 23.3735i | 1.13132 | + | 0.947920i | ||||
\(609\) | 0.503703 | + | 17.4894i | 0.0204111 | + | 0.708704i | ||||
\(610\) | 0.239600 | − | 5.75778i | 0.00970114 | − | 0.233126i | ||||
\(611\) | 9.39601 | − | 14.7806i | 0.380122 | − | 0.597961i | ||||
\(612\) | 13.4884 | + | 41.1545i | 0.545238 | + | 1.66357i | ||||
\(613\) | −0.711524 | − | 0.558433i | −0.0287382 | − | 0.0225549i | 0.602925 | − | 0.797798i | \(-0.294002\pi\) |
−0.631663 | + | 0.775243i | \(0.717627\pi\) | |||||||
\(614\) | 6.71627 | + | 13.6422i | 0.271046 | + | 0.550552i | ||||
\(615\) | −5.78935 | + | 2.33857i | −0.233449 | + | 0.0943003i | ||||
\(616\) | 0.119878 | + | 1.06613i | 0.00483001 | + | 0.0429558i | ||||
\(617\) | 5.00966 | − | 0.160323i | 0.201681 | − | 0.00645434i | 0.0690175 | − | 0.997615i | \(-0.478014\pi\) |
0.132664 | + | 0.991161i | \(0.457647\pi\) | |||||||
\(618\) | −28.9671 | + | 11.0592i | −1.16523 | + | 0.444867i | ||||
\(619\) | 14.1168 | + | 5.28635i | 0.567402 | + | 0.212476i | 0.617912 | − | 0.786247i | \(-0.287979\pi\) |
−0.0505102 | + | 0.998724i | \(0.516085\pi\) | |||||||
\(620\) | 7.71589 | + | 5.74284i | 0.309877 | + | 0.230638i | ||||
\(621\) | 137.480 | − | 19.4810i | 5.51687 | − | 0.781746i | ||||
\(622\) | −8.63037 | − | 31.7347i | −0.346046 | − | 1.27245i | ||||
\(623\) | −4.17770 | + | 2.63702i | −0.167376 | + | 0.105650i | ||||
\(624\) | −77.3447 | + | 40.2544i | −3.09627 | + | 1.61146i | ||||
\(625\) | −6.53210 | + | 6.72293i | −0.261284 | + | 0.268917i | ||||
\(626\) | −31.1790 | + | 54.2706i | −1.24616 | + | 2.16909i | ||||
\(627\) | −5.17366 | − | 14.5189i | −0.206616 | − | 0.579828i | ||||
\(628\) | −2.48429 | − | 24.9675i | −0.0991340 | − | 0.996312i | ||||
\(629\) | −17.6698 | + | 13.6862i | −0.704541 | + | 0.545704i | ||||
\(630\) | 11.8303 | + | 11.8682i | 0.471330 | + | 0.472840i | ||||
\(631\) | 9.07831 | + | 0.991379i | 0.361402 | + | 0.0394662i | 0.287450 | − | 0.957796i | \(-0.407193\pi\) |
0.0739517 | + | 0.997262i | \(0.476439\pi\) | |||||||
\(632\) | −1.03572 | + | 0.962184i | −0.0411988 | + | 0.0382736i | ||||
\(633\) | 31.7054 | − | 87.2063i | 1.26018 | − | 3.46614i | ||||
\(634\) | 1.47378 | + | 10.1664i | 0.0585312 | + | 0.403758i | ||||
\(635\) | 11.5454 | + | 2.24377i | 0.458165 | + | 0.0890414i | ||||
\(636\) | 55.6784 | + | 24.5907i | 2.20779 | + | 0.975083i | ||||
\(637\) | 4.29117 | − | 30.9968i | 0.170022 | − | 1.22814i | ||||
\(638\) | −4.01880 | − | 6.14671i | −0.159106 | − | 0.243351i | ||||
\(639\) | −44.2593 | − | 15.6120i | −1.75087 | − | 0.617600i | ||||
\(640\) | −9.49119 | + | 2.87705i | −0.375172 | + | 0.113725i | ||||
\(641\) | −13.5571 | − | 6.19607i | −0.535472 | − | 0.244730i | 0.129525 | − | 0.991576i | \(-0.458655\pi\) |
−0.664997 | + | 0.746846i | \(0.731567\pi\) | |||||||
\(642\) | −22.0055 | − | 37.7419i | −0.868486 | − | 1.48955i | ||||
\(643\) | −8.02496 | + | 7.55142i | −0.316474 | + | 0.297799i | −0.827158 | − | 0.561969i | \(-0.810044\pi\) |
0.510684 | + | 0.859768i | \(0.329392\pi\) | |||||||
\(644\) | −6.37934 | − | 9.23235i | −0.251381 | − | 0.363805i | ||||
\(645\) | 4.71244 | + | 2.37647i | 0.185552 | + | 0.0935735i | ||||
\(646\) | 21.9367 | − | 35.0008i | 0.863090 | − | 1.37709i | ||||
\(647\) | −16.1022 | − | 12.4720i | −0.633042 | − | 0.490325i | 0.244611 | − | 0.969621i | \(-0.421340\pi\) |
−0.877653 | + | 0.479297i | \(0.840892\pi\) | |||||||
\(648\) | −5.14166 | − | 40.9958i | −0.201984 | − | 1.61047i | ||||
\(649\) | −1.11451 | − | 0.157927i | −0.0437482 | − | 0.00619916i | ||||
\(650\) | 26.7014 | + | 26.4464i | 1.04732 | + | 1.03731i | ||||
\(651\) | −22.9009 | − | 8.24319i | −0.897559 | − | 0.323076i | ||||
\(652\) | 13.0543 | + | 5.46852i | 0.511245 | + | 0.214164i | ||||
\(653\) | −1.00802 | − | 11.6408i | −0.0394467 | − | 0.455540i | −0.989609 | − | 0.143785i | \(-0.954073\pi\) |
0.950162 | − | 0.311756i | \(-0.100917\pi\) | |||||||
\(654\) | −78.9349 | − | 10.6704i | −3.08660 | − | 0.417246i | ||||
\(655\) | −5.44450 | + | 3.05880i | −0.212734 | + | 0.119517i | ||||
\(656\) | −1.61731 | − | 8.46645i | −0.0631453 | − | 0.330559i | ||||
\(657\) | 1.60995 | − | 21.8404i | 0.0628100 | − | 0.852074i | ||||
\(658\) | 2.80550 | − | 5.69856i | 0.109370 | − | 0.222153i | ||||
\(659\) | −24.7784 | + | 11.9048i | −0.965229 | + | 0.463743i | −0.848369 | − | 0.529405i | \(-0.822415\pi\) |
−0.116860 | + | 0.993148i | \(0.537283\pi\) | |||||||
\(660\) | −3.71504 | − | 0.896304i | −0.144608 | − | 0.0348886i | ||||
\(661\) | 17.1875 | − | 22.9389i | 0.668515 | − | 0.892220i | −0.330147 | − | 0.943929i | \(-0.607098\pi\) |
0.998662 | + | 0.0517098i | \(0.0164671\pi\) | |||||||
\(662\) | −7.18677 | + | 8.19715i | −0.279322 | + | 0.318591i | ||||
\(663\) | 41.3742 | + | 58.2691i | 1.60684 | + | 2.26299i | ||||
\(664\) | −8.85046 | + | 11.2028i | −0.343464 | + | 0.434752i | ||||
\(665\) | 0.588572 | − | 6.32579i | 0.0228239 | − | 0.245304i | ||||
\(666\) | −74.0541 | + | 37.3453i | −2.86954 | + | 1.44710i | ||||
\(667\) | −34.7871 | − | 18.9624i | −1.34696 | − | 0.734226i | ||||
\(668\) | −13.7674 | + | 27.5189i | −0.532679 | + | 1.06474i | ||||
\(669\) | 83.1282 | − | 37.3515i | 3.21392 | − | 1.44409i | ||||
\(670\) | −10.7262 | − | 2.15589i | −0.414391 | − | 0.0832891i | ||||
\(671\) | −1.75037 | − | 1.68983i | −0.0675722 | − | 0.0652352i | ||||
\(672\) | −18.9910 | + | 12.6784i | −0.732592 | + | 0.489079i | ||||
\(673\) | 7.62768 | − | 23.2727i | 0.294025 | − | 0.897098i | −0.690724 | − | 0.723119i | \(-0.742708\pi\) |
0.984749 | − | 0.173980i | \(-0.0556627\pi\) | |||||||
\(674\) | −22.5626 | − | 27.4590i | −0.869078 | − | 1.05768i | ||||
\(675\) | −60.7880 | + | 28.2539i | −2.33973 | + | 1.08749i | ||||
\(676\) | 14.3953 | − | 14.2578i | 0.553666 | − | 0.548378i | ||||
\(677\) | 2.82758 | − | 2.10453i | 0.108673 | − | 0.0808837i | −0.541356 | − | 0.840793i | \(-0.682089\pi\) |
0.650029 | + | 0.759910i | \(0.274757\pi\) | |||||||
\(678\) | −3.26029 | + | 0.942906i | −0.125211 | + | 0.0362121i | ||||
\(679\) | −1.88313 | + | 4.79385i | −0.0722680 | + | 0.183971i | ||||
\(680\) | 2.21118 | + | 4.79743i | 0.0847949 | + | 0.183973i | ||||
\(681\) | −0.861198 | − | 38.4498i | −0.0330012 | − | 1.47340i | ||||
\(682\) | 10.0026 | − | 2.07712i | 0.383021 | − | 0.0795370i | ||||
\(683\) | −15.8094 | + | 16.6935i | −0.604931 | + | 0.638759i | −0.954521 | − | 0.298144i | \(-0.903633\pi\) |
0.349590 | + | 0.936903i | \(0.386321\pi\) | |||||||
\(684\) | 41.6121 | − | 44.5060i | 1.59108 | − | 1.70173i | ||||
\(685\) | 18.1033 | + | 1.27626i | 0.691693 | + | 0.0487632i | ||||
\(686\) | 0.715873 | − | 24.8562i | 0.0273322 | − | 0.949015i | ||||
\(687\) | −5.10881 | + | 5.75238i | −0.194913 | + | 0.219467i | ||||
\(688\) | −4.47992 | + | 5.74581i | −0.170795 | + | 0.219057i | ||||
\(689\) | 72.9907 | + | 8.44374i | 2.78073 | + | 0.321681i | ||||
\(690\) | −50.1790 | + | 13.1305i | −1.91028 | + | 0.499868i | ||||
\(691\) | 3.76236 | + | 11.9958i | 0.143127 | + | 0.456343i | 0.998051 | − | 0.0624105i | \(-0.0198788\pi\) |
−0.854924 | + | 0.518754i | \(0.826396\pi\) | |||||||
\(692\) | −28.1214 | − | 13.9566i | −1.06902 | − | 0.530551i | ||||
\(693\) | 7.06301 | − | 0.407175i | 0.268302 | − | 0.0154673i | ||||
\(694\) | −5.08343 | + | 5.57837i | −0.192964 | + | 0.211752i | ||||
\(695\) | 6.53538 | + | 11.8986i | 0.247901 | + | 0.451340i | ||||
\(696\) | −10.0820 | + | 17.8117i | −0.382156 | + | 0.675151i | ||||
\(697\) | −6.69184 | + | 2.26461i | −0.253472 | + | 0.0857783i | ||||
\(698\) | 29.2665 | + | 5.30004i | 1.10775 | + | 0.200609i | ||||
\(699\) | −30.1443 | + | 1.15781i | −1.14016 | + | 0.0437925i | ||||
\(700\) | 4.24024 | + | 3.37198i | 0.160266 | + | 0.127449i | ||||
\(701\) | −6.57433 | − | 3.97543i | −0.248309 | − | 0.150150i | 0.387813 | − | 0.921738i | \(-0.373231\pi\) |
−0.636122 | + | 0.771588i | \(0.719463\pi\) | |||||||
\(702\) | 69.2989 | + | 152.919i | 2.61552 | + | 5.77155i | ||||
\(703\) | 28.8440 | + | 12.5192i | 1.08787 | + | 0.472170i | ||||
\(704\) | 0.664494 | − | 1.44170i | 0.0250441 | − | 0.0543362i | ||||
\(705\) | −8.07830 | − | 8.42145i | −0.304246 | − | 0.317170i | ||||
\(706\) | 33.1178 | − | 16.4363i | 1.24640 | − | 0.618588i | ||||
\(707\) | 15.7976 | − | 9.00877i | 0.594129 | − | 0.338810i | ||||
\(708\) | −2.00495 | − | 5.74244i | −0.0753506 | − | 0.215814i | ||||
\(709\) | 48.8978 | − | 9.50296i | 1.83640 | − | 0.356891i | 0.850730 | − | 0.525603i | \(-0.176160\pi\) |
0.985665 | + | 0.168712i | \(0.0539607\pi\) | |||||||
\(710\) | 10.8217 | + | 2.46479i | 0.406133 | + | 0.0925019i | ||||
\(711\) | 5.96431 | + | 7.16469i | 0.223679 | + | 0.268697i | ||||
\(712\) | −5.77804 | + | 0.110924i | −0.216541 | + | 0.00415704i | ||||
\(713\) | 42.2453 | − | 35.3968i | 1.58210 | − | 1.32562i | ||||
\(714\) | 17.2100 | + | 19.3780i | 0.644070 | + | 0.725205i | ||||
\(715\) | −4.60397 | + | 0.294981i | −0.172179 | + | 0.0110317i | ||||
\(716\) | −4.97338 | − | 9.63095i | −0.185864 | − | 0.359926i | ||||
\(717\) | 16.8990 | + | 98.7091i | 0.631105 | + | 3.68636i | ||||
\(718\) | 1.30767 | + | 8.27344i | 0.0488019 | + | 0.308762i | ||||
\(719\) | −3.18526 | + | 0.0815395i | −0.118790 | + | 0.00304091i | −0.0849405 | − | 0.996386i | \(-0.527070\pi\) |
−0.0338496 | + | 0.999427i | \(0.510777\pi\) | |||||||
\(720\) | 10.1001 | + | 41.2838i | 0.376410 | + | 1.53856i | ||||
\(721\) | −3.85786 | + | 3.77242i | −0.143674 | + | 0.140492i | ||||
\(722\) | −23.4576 | − | 1.35231i | −0.873002 | − | 0.0503276i | ||||
\(723\) | 53.9502 | + | 30.7658i | 2.00643 | + | 1.14419i | ||||
\(724\) | −4.65703 | + | 25.2548i | −0.173077 | + | 0.938589i | ||||
\(725\) | 18.7274 | + | 3.88888i | 0.695518 | + | 0.144429i | ||||
\(726\) | 51.6671 | − | 35.9456i | 1.91755 | − | 1.33406i | ||||
\(727\) | −35.8382 | + | 22.3022i | −1.32916 | + | 0.827142i | −0.993389 | − | 0.114800i | \(-0.963377\pi\) |
−0.335776 | + | 0.941942i | \(0.608998\pi\) | |||||||
\(728\) | −4.40818 | + | 5.43535i | −0.163378 | + | 0.201448i | ||||
\(729\) | −98.6573 | + | 6.95518i | −3.65398 | + | 0.257599i | ||||
\(730\) | 0.215329 | + | 5.17453i | 0.00796970 | + | 0.191518i | ||||
\(731\) | 5.16834 | + | 2.99129i | 0.191158 | + | 0.110637i | ||||
\(732\) | 3.77345 | − | 12.5933i | 0.139471 | − | 0.465463i | ||||
\(733\) | −14.9116 | + | 26.7419i | −0.550773 | + | 0.987734i | 0.444968 | + | 0.895546i | \(0.353215\pi\) |
−0.995742 | + | 0.0921877i | \(0.970614\pi\) | |||||||
\(734\) | 37.1594 | + | 7.96477i | 1.37158 | + | 0.293985i | ||||
\(735\) | −19.3817 | − | 7.68524i | −0.714905 | − | 0.283474i | ||||
\(736\) | −3.14098 | − | 51.6105i | −0.115778 | − | 1.90239i | ||||
\(737\) | −3.68764 | + | 2.78151i | −0.135836 | + | 0.102458i | ||||
\(738\) | −25.9793 | + | 3.51189i | −0.956313 | + | 0.129274i | ||||
\(739\) | −1.12346 | − | 5.00650i | −0.0413271 | − | 0.184167i | 0.950717 | − | 0.310061i | \(-0.100350\pi\) |
−0.992044 | + | 0.125894i | \(0.959820\pi\) | |||||||
\(740\) | 6.51173 | − | 4.28726i | 0.239376 | − | 0.157603i | ||||
\(741\) | 43.8296 | − | 90.4835i | 1.61012 | − | 3.32400i | ||||
\(742\) | 26.6467 | + | 0.170497i | 0.978231 | + | 0.00625916i | ||||
\(743\) | 17.2031 | + | 18.3995i | 0.631121 | + | 0.675012i | 0.963369 | − | 0.268180i | \(-0.0864222\pi\) |
−0.332248 | + | 0.943192i | \(0.607807\pi\) | |||||||
\(744\) | −17.9343 | − | 22.1132i | −0.657502 | − | 0.810709i | ||||
\(745\) | 16.0017 | + | 5.52957i | 0.586258 | + | 0.202588i | ||||
\(746\) | 6.02320 | + | 2.29957i | 0.220525 | + | 0.0841933i | ||||
\(747\) | 70.5930 | + | 62.2923i | 2.58286 | + | 2.27916i | ||||
\(748\) | −4.13808 | − | 1.25437i | −0.151303 | − | 0.0458643i | ||||
\(749\) | −6.12776 | − | 4.50018i | −0.223903 | − | 0.164433i | ||||
\(750\) | 48.8941 | − | 29.9946i | 1.78536 | − | 1.09525i | ||||
\(751\) | −0.0121415 | + | 3.79519i | −0.000443051 | + | 0.138489i | 0.997373 | + | 0.0724358i | \(0.0230772\pi\) |
−0.997816 | + | 0.0660528i | \(0.978959\pi\) | |||||||
\(752\) | 13.5676 | − | 8.68592i | 0.494758 | − | 0.316743i | ||||
\(753\) | −6.97389 | + | 6.73269i | −0.254143 | + | 0.245353i | ||||
\(754\) | 10.1896 | − | 46.8081i | 0.371083 | − | 1.70465i | ||||
\(755\) | 0.493744 | − | 2.01815i | 0.0179692 | − | 0.0734481i | ||||
\(756\) | 12.3237 | + | 20.8291i | 0.448209 | + | 0.757548i | ||||
\(757\) | 12.5003 | − | 12.7019i | 0.454332 | − | 0.461658i | −0.447160 | − | 0.894454i | \(-0.647565\pi\) |
0.901492 | + | 0.432796i | \(0.142473\pi\) | |||||||
\(758\) | 3.69306 | − | 5.13123i | 0.134138 | − | 0.186375i | ||||
\(759\) | −9.92284 | + | 19.5210i | −0.360176 | + | 0.708566i | ||||
\(760\) | 4.41812 | − | 5.97585i | 0.160262 | − | 0.216767i | ||||
\(761\) | 1.98523 | − | 2.95318i | 0.0719646 | − | 0.107053i | −0.792201 | − | 0.610260i | \(-0.791065\pi\) |
0.864166 | + | 0.503208i | \(0.167847\pi\) | |||||||
\(762\) | 61.0288 | + | 28.8421i | 2.21084 | + | 1.04484i | ||||
\(763\) | −13.3399 | + | 3.76570i | −0.482937 | + | 0.136327i | ||||
\(764\) | −3.85541 | − | 8.22593i | −0.139484 | − | 0.297604i | ||||
\(765\) | 32.3817 | − | 12.8400i | 1.17076 | − | 0.464231i | ||||
\(766\) | −4.02922 | + | 0.676542i | −0.145582 | + | 0.0244445i | ||||
\(767\) | −4.36511 | − | 5.90415i | −0.157615 | − | 0.213186i | ||||
\(768\) | −69.8513 | + | 3.13063i | −2.52054 | + | 0.112967i | ||||
\(769\) | −10.9148 | − | 6.41077i | −0.393598 | − | 0.231178i | 0.296285 | − | 0.955100i | \(-0.404252\pi\) |
−0.689882 | + | 0.723921i | \(0.742338\pi\) | |||||||
\(770\) | −1.64819 | + | 0.287601i | −0.0593966 | + | 0.0103644i | ||||
\(771\) | −47.6310 | + | 4.58549i | −1.71539 | + | 0.165142i | ||||
\(772\) | −3.95953 | − | 24.0524i | −0.142507 | − | 0.865663i | ||||
\(773\) | 2.44478 | + | 0.690133i | 0.0879327 | + | 0.0248224i | 0.315354 | − | 0.948974i | \(-0.397877\pi\) |
−0.227421 | + | 0.973796i | \(0.573029\pi\) | |||||||
\(774\) | 16.7089 | + | 14.5551i | 0.600590 | + | 0.523173i | ||||
\(775\) | −14.5603 | + | 22.2698i | −0.523021 | + | 0.799954i | ||||
\(776\) | −4.78669 | + | 3.65879i | −0.171832 | + | 0.131343i | ||||
\(777\) | −12.6220 | + | 15.1624i | −0.452813 | + | 0.543947i | ||||
\(778\) | −27.2853 | + | 34.0866i | −0.978224 | + | 1.22206i | ||||
\(779\) | 7.32480 | + | 6.71793i | 0.262438 | + | 0.240695i | ||||
\(780\) | −12.8308 | − | 21.3730i | −0.459417 | − | 0.765275i | ||||
\(781\) | 3.81193 | − | 2.72506i | 0.136402 | − | 0.0975103i | ||||
\(782\) | −57.5364 | + | 11.5643i | −2.05750 | + | 0.413540i | ||||
\(783\) | 71.9619 | + | 46.0698i | 2.57171 | + | 1.64640i | ||||
\(784\) | 15.5964 | − | 24.1910i | 0.557014 | − | 0.863965i | ||||
\(785\) | −19.9237 | + | 3.21444i | −0.711107 | + | 0.114728i | ||||
\(786\) | −34.6145 | + | 9.29471i | −1.23466 | + | 0.331531i | ||||
\(787\) | 1.04747 | + | 14.2099i | 0.0373382 | + | 0.506527i | 0.983269 | + | 0.182159i | \(0.0583085\pi\) |
−0.945931 | + | 0.324368i | \(0.894848\pi\) | |||||||
\(788\) | 1.64143 | + | 0.663044i | 0.0584735 | + | 0.0236200i | ||||
\(789\) | −12.1739 | + | 43.6596i | −0.433403 | + | 1.55432i | ||||
\(790\) | −1.59586 | − | 1.52105i | −0.0567780 | − | 0.0541167i | ||||
\(791\) | −0.455120 | + | 0.376410i | −0.0161822 | + | 0.0133836i | ||||
\(792\) | 7.31652 | + | 3.86761i | 0.259981 | + | 0.137429i | ||||
\(793\) | −0.152313 | − | 15.8695i | −0.00540879 | − | 0.563543i | ||||
\(794\) | 48.7541 | + | 20.0577i | 1.73022 | + | 0.711821i | ||||
\(795\) | 17.0220 | − | 45.9027i | 0.603710 | − | 1.62800i | ||||
\(796\) | 5.09633 | − | 1.87134i | 0.180635 | − | 0.0663280i | ||||
\(797\) | −16.6647 | − | 4.13359i | −0.590294 | − | 0.146419i | −0.0657989 | − | 0.997833i | \(-0.520960\pi\) |
−0.524495 | + | 0.851414i | \(0.675746\pi\) | |||||||
\(798\) | 12.2390 | − | 34.3462i | 0.433254 | − | 1.21584i | ||||
\(799\) | −8.57671 | − | 10.0388i | −0.303422 | − | 0.355147i | ||||
\(800\) | 8.67902 | + | 23.4044i | 0.306850 | + | 0.827470i | ||||
\(801\) | −1.34083 | + | 38.0857i | −0.0473758 | + | 1.34569i | ||||
\(802\) | 5.07709 | + | 10.1483i | 0.179278 | + | 0.358347i | ||||
\(803\) | 1.69380 | + | 1.38271i | 0.0597727 | + | 0.0487948i | ||||
\(804\) | −22.4971 | − | 10.8087i | −0.793413 | − | 0.381195i | ||||
\(805\) | −7.10046 | + | 5.57273i | −0.250258 | + | 0.196413i | ||||
\(806\) | 55.4233 | + | 37.0006i | 1.95220 | + | 1.30329i | ||||
\(807\) | 18.2469 | + | 83.8208i | 0.642320 | + | 2.95063i | ||||
\(808\) | 21.2663 | + | 0.544396i | 0.748146 | + | 0.0191518i | ||||
\(809\) | −4.67647 | − | 35.4483i | −0.164416 | − | 1.24630i | −0.853298 | − | 0.521423i | \(-0.825401\pi\) |
0.688883 | − | 0.724873i | \(-0.258102\pi\) | |||||||
\(810\) | 63.3270 | − | 11.8872i | 2.22508 | − | 0.417674i | ||||
\(811\) | −0.596955 | + | 37.3161i | −0.0209619 | + | 1.31034i | 0.744829 | + | 0.667255i | \(0.232531\pi\) |
−0.765791 | + | 0.643089i | \(0.777652\pi\) | |||||||
\(812\) | 0.727691 | − | 6.86716i | 0.0255370 | − | 0.240990i | ||||
\(813\) | 2.80962 | + | 1.50828i | 0.0985375 | + | 0.0528976i | ||||
\(814\) | 1.18800 | − | 8.19504i | 0.0416394 | − | 0.287236i | ||||
\(815\) | 3.75254 | − | 10.7478i | 0.131446 | − | 0.376478i | ||||
\(816\) | 11.9203 | + | 64.6430i | 0.417293 | + | 2.26296i | ||||
\(817\) | 0.188122 | − | 8.39905i | 0.00658155 | − | 0.293846i | ||||
\(818\) | 15.6642 | − | 6.79873i | 0.547685 | − | 0.237712i | ||||
\(819\) | 34.2093 | + | 30.9744i | 1.19537 | + | 1.08233i | ||||
\(820\) | 2.38801 | − | 0.608578i | 0.0833929 | − | 0.0212525i | ||||
\(821\) | −5.63700 | − | 5.80168i | −0.196733 | − | 0.202480i | 0.611665 | − | 0.791117i | \(-0.290500\pi\) |
−0.808398 | + | 0.588637i | \(0.799665\pi\) | |||||||
\(822\) | 98.8715 | + | 32.7559i | 3.44854 | + | 1.14249i | ||||
\(823\) | 13.6465 | − | 18.7072i | 0.475688 | − | 0.652093i | −0.501328 | − | 0.865257i | \(-0.667155\pi\) |
0.977016 | + | 0.213165i | \(0.0683771\pi\) | |||||||
\(824\) | −6.14512 | + | 1.44105i | −0.214076 | + | 0.0502013i | ||||
\(825\) | 1.85055 | − | 10.4084i | 0.0644278 | − | 0.362375i | ||||
\(826\) | −1.80613 | − | 1.95668i | −0.0628433 | − | 0.0680817i | ||||
\(827\) | −3.82782 | + | 8.03290i | −0.133106 | + | 0.279331i | −0.958430 | − | 0.285329i | \(-0.907897\pi\) |
0.825323 | + | 0.564660i | \(0.190993\pi\) | |||||||
\(828\) | −86.5631 | + | 0.553869i | −3.00828 | + | 0.0192483i | ||||
\(829\) | −19.2043 | − | 20.2783i | −0.666995 | − | 0.704293i | 0.301461 | − | 0.953478i | \(-0.402526\pi\) |
−0.968456 | + | 0.249185i | \(0.919837\pi\) | |||||||
\(830\) | −18.2767 | − | 12.7154i | −0.634394 | − | 0.441357i | ||||
\(831\) | −49.3306 | − | 2.52728i | −1.71126 | − | 0.0876705i | ||||
\(832\) | 9.74311 | − | 3.50703i | 0.337782 | − | 0.121584i | ||||
\(833\) | −21.3928 | − | 9.94324i | −0.741216 | − | 0.344513i | ||||
\(834\) | 19.4819 | + | 75.4360i | 0.674603 | + | 2.61214i | ||||
\(835\) | 22.7661 | + | 9.70856i | 0.787853 | + | 0.335978i | ||||
\(836\) | 1.25590 | + | 5.95225i | 0.0434364 | + | 0.205863i | ||||
\(837\) | −96.2510 | + | 69.7424i | −3.32692 | + | 2.41065i | ||||
\(838\) | −5.68453 | − | 14.2033i | −0.196369 | − | 0.490643i | ||||
\(839\) | −11.4410 | + | 12.3947i | −0.394988 | + | 0.427913i | −0.900466 | − | 0.434927i | \(-0.856774\pi\) |
0.505478 | + | 0.862839i | \(0.331316\pi\) | |||||||
\(840\) | 2.81978 | + | 3.71361i | 0.0972917 | + | 0.128132i | ||||
\(841\) | 1.63382 | + | 4.32086i | 0.0563387 | + | 0.148995i | ||||
\(842\) | −0.944490 | + | 4.20896i | −0.0325493 | + | 0.145050i | ||||
\(843\) | −1.81286 | + | 20.9353i | −0.0624381 | + | 0.721050i | ||||
\(844\) | −17.0116 | + | 32.4322i | −0.585563 | + | 1.11636i | ||||
\(845\) | −12.1502 | − | 10.8606i | −0.417980 | − | 0.373616i | ||||
\(846\) | −24.1354 | − | 42.6397i | −0.829791 | − | 1.46598i | ||||
\(847\) | 5.75726 | − | 9.31787i | 0.197822 | − | 0.320166i | ||||
\(848\) | 57.6086 | + | 35.3406i | 1.97829 | + | 1.21360i | ||||
\(849\) | −37.4477 | − | 91.8580i | −1.28520 | − | 3.15256i | ||||
\(850\) | 24.9625 | − | 13.4005i | 0.856206 | − | 0.459635i | ||||
\(851\) | −15.2643 | − | 41.9848i | −0.523255 | − | 1.43922i | ||||
\(852\) | 22.5342 | + | 11.5454i | 0.772011 | + | 0.395539i | ||||
\(853\) | −0.967544 | + | 4.89485i | −0.0331281 | + | 0.167597i | −0.993997 | − | 0.109406i | \(-0.965105\pi\) |
0.960869 | + | 0.277003i | \(0.0893412\pi\) | |||||||
\(854\) | −0.679684 | − | 5.71521i | −0.0232583 | − | 0.195570i | ||||
\(855\) | −37.7647 | − | 31.2335i | −1.29153 | − | 1.06816i | ||||
\(856\) | −3.40995 | − | 8.21376i | −0.116550 | − | 0.280740i | ||||
\(857\) | 5.64076 | − | 27.6072i | 0.192685 | − | 0.943043i | −0.762490 | − | 0.647000i | \(-0.776023\pi\) |
0.955175 | − | 0.296043i | \(-0.0956671\pi\) | |||||||
\(858\) | −26.0227 | − | 4.88477i | −0.888402 | − | 0.166763i | ||||
\(859\) | 2.17919 | − | 40.0295i | 0.0743532 | − | 1.36579i | −0.691315 | − | 0.722554i | \(-0.742968\pi\) |
0.765668 | − | 0.643236i | \(-0.222408\pi\) | |||||||
\(860\) | −1.71750 | − | 1.17866i | −0.0585664 | − | 0.0401918i | ||||
\(861\) | −5.33621 | + | 3.22675i | −0.181857 | + | 0.109967i | ||||
\(862\) | −34.6687 | − | 4.46083i | −1.18082 | − | 0.151937i | ||||
\(863\) | −13.6426 | + | 25.2195i | −0.464401 | + | 0.858483i | 0.535502 | + | 0.844534i | \(0.320123\pi\) |
−0.999903 | + | 0.0139490i | \(0.995560\pi\) | |||||||
\(864\) | −1.07022 | + | 111.507i | −0.0364096 | + | 3.79353i | ||||
\(865\) | −9.83099 | + | 23.2591i | −0.334264 | + | 0.790834i | ||||
\(866\) | 4.75741 | − | 14.8353i | 0.161663 | − | 0.504126i | ||||
\(867\) | −2.80737 | + | 0.930076i | −0.0953432 | + | 0.0315870i | ||||
\(868\) | 8.52130 | + | 4.43495i | 0.289232 | + | 0.150532i | ||||
\(869\) | −0.927545 | + | 0.0773303i | −0.0314648 | + | 0.00262325i | ||||
\(870\) | −28.6808 | − | 14.0063i | −0.972371 | − | 0.474856i | ||||
\(871\) | −29.8044 | − | 4.41801i | −1.00988 | − | 0.149699i | ||||
\(872\) | −15.6326 | − | 4.30509i | −0.529386 | − | 0.145789i | ||||
\(873\) | 22.3757 | + | 32.8299i | 0.757303 | + | 1.11112i | ||||
\(874\) | 53.2286 | + | 63.1158i | 1.80049 | + | 2.13492i | ||||
\(875\) | 5.72691 | − | 8.17578i | 0.193605 | − | 0.276392i | ||||
\(876\) | −2.43918 | + | 11.5603i | −0.0824122 | + | 0.390586i | ||||
\(877\) | −14.8593 | − | 33.3554i | −0.501763 | − | 1.12633i | −0.970083 | − | 0.242772i | \(-0.921943\pi\) |
0.468321 | − | 0.883559i | \(-0.344859\pi\) | |||||||
\(878\) | −1.54336 | − | 32.1369i | −0.0520859 | − | 1.08457i | ||||
\(879\) | −91.6295 | − | 23.9769i | −3.09059 | − | 0.808722i | ||||
\(880\) | −3.95457 | − | 1.53886i | −0.133309 | − | 0.0518750i | ||||
\(881\) | 12.5793 | − | 28.2373i | 0.423806 | − | 0.951338i | −0.567934 | − | 0.823074i | \(-0.692257\pi\) |
0.991740 | − | 0.128264i | \(-0.0409404\pi\) | |||||||
\(882\) | −70.8877 | − | 51.3645i | −2.38691 | − | 1.72953i | ||||
\(883\) | 4.35216 | − | 17.3087i | 0.146462 | − | 0.582485i | −0.851817 | − | 0.523840i | \(-0.824499\pi\) |
0.998279 | − | 0.0586451i | \(-0.0186780\pi\) | |||||||
\(884\) | −13.1017 | − | 24.9781i | −0.440657 | − | 0.840104i | ||||
\(885\) | −4.51234 | + | 1.89025i | −0.151680 | + | 0.0635399i | ||||
\(886\) | 65.2474 | − | 3.34273i | 2.19203 | − | 0.112301i | ||||
\(887\) | −22.1750 | − | 13.7996i | −0.744565 | − | 0.463345i | 0.102567 | − | 0.994726i | \(-0.467294\pi\) |
−0.847133 | + | 0.531382i | \(0.821673\pi\) | |||||||
\(888\) | −21.8123 | + | 7.53748i | −0.731974 | + | 0.252941i | ||||
\(889\) | 11.7405 | + | 0.375729i | 0.393765 | + | 0.0126015i | ||||
\(890\) | −0.720040 | − | 8.98361i | −0.0241358 | − | 0.301131i | ||||
\(891\) | 14.0013 | − | 23.3228i | 0.469063 | − | 0.781344i | ||||
\(892\) | −34.4884 | + | 10.2139i | −1.15476 | + | 0.341988i | ||||
\(893\) | −6.56995 | + | 17.3751i | −0.219855 | + | 0.581435i | ||||
\(894\) | 81.1553 | + | 53.4318i | 2.71424 | + | 1.78703i | ||||
\(895\) | −7.48918 | + | 4.46343i | −0.250336 | + | 0.149196i | ||||
\(896\) | −8.90050 | + | 4.34655i | −0.297345 | + | 0.145208i | ||||
\(897\) | −136.158 | + | 43.1834i | −4.54619 | + | 1.44185i | ||||
\(898\) | −9.76853 | + | 57.0591i | −0.325980 | + | 1.90409i | ||||
\(899\) | 33.9128 | + | 0.433996i | 1.13105 | + | 0.0144746i | ||||
\(900\) | 39.9149 | − | 12.3788i | 1.33050 | − | 0.412625i | ||||
\(901\) | 22.2170 | − | 50.7425i | 0.740155 | − | 1.69048i | ||||
\(902\) | 1.20095 | − | 2.32565i | 0.0399874 | − | 0.0774357i | ||||
\(903\) | 5.02444 | + | 1.59353i | 0.167203 | + | 0.0530294i | ||||
\(904\) | −0.683412 | + | 0.101305i | −0.0227300 | + | 0.00336935i | ||||
\(905\) | 20.5033 | + | 2.50491i | 0.681553 | + | 0.0832661i | ||||
\(906\) | 5.60628 | − | 10.5240i | 0.186256 | − | 0.349637i | ||||
\(907\) | 13.3952 | + | 48.0395i | 0.444780 | + | 1.59512i | 0.762532 | + | 0.646951i | \(0.223956\pi\) |
−0.317752 | + | 0.948174i | \(0.602928\pi\) | |||||||
\(908\) | −1.69609 | + | 15.0842i | −0.0562868 | + | 0.500588i | ||||
\(909\) | 11.2078 | − | 139.834i | 0.371739 | − | 4.63801i | ||||
\(910\) | −8.87829 | − | 6.34688i | −0.294312 | − | 0.210397i | ||||
\(911\) | −25.1500 | − | 11.3005i | −0.833256 | − | 0.374402i | −0.0520267 | − | 0.998646i | \(-0.516568\pi\) |
−0.781230 | + | 0.624244i | \(0.785407\pi\) | |||||||
\(912\) | 71.6380 | − | 58.4808i | 2.37217 | − | 1.93649i | ||||
\(913\) | −9.13770 | + | 2.20459i | −0.302414 | + | 0.0729613i | ||||
\(914\) | −22.1002 | + | 51.3679i | −0.731010 | + | 1.69910i | ||||
\(915\) | −10.2949 | − | 2.41418i | −0.340338 | − | 0.0798103i | ||||
\(916\) | 2.30233 | − | 1.97979i | 0.0760710 | − | 0.0654140i | ||||
\(917\) | −4.88162 | + | 3.88202i | −0.161205 | + | 0.128196i | ||||
\(918\) | 125.532 | − | 16.1523i | 4.14319 | − | 0.533105i | ||||
\(919\) | −18.1561 | + | 47.1030i | −0.598915 | + | 1.55379i | 0.217341 | + | 0.976096i | \(0.430262\pi\) |
−0.816256 | + | 0.577690i | \(0.803954\pi\) | |||||||
\(920\) | −10.4807 | + | 1.28044i | −0.345538 | + | 0.0422148i | ||||
\(921\) | 26.8999 | − | 7.40802i | 0.886381 | − | 0.244103i | ||||
\(922\) | −0.242131 | − | 0.205530i | −0.00797415 | − | 0.00676876i | ||||
\(923\) | 30.1106 | + | 5.25414i | 0.991102 | + | 0.172942i | ||||
\(924\) | −3.80556 | − | 0.292767i | −0.125194 | − | 0.00963134i | ||||
\(925\) | 12.9320 | + | 17.2594i | 0.425202 | + | 0.567487i | ||||
\(926\) | −2.65434 | − | 6.16953i | −0.0872271 | − | 0.202743i | ||||
\(927\) | 7.28590 | + | 40.9796i | 0.239300 | + | 1.34595i | ||||
\(928\) | 19.2415 | − | 25.3408i | 0.631635 | − | 0.831853i | ||||
\(929\) | −7.54029 | − | 2.23310i | −0.247389 | − | 0.0732655i | 0.157897 | − | 0.987456i | \(-0.449529\pi\) |
−0.405286 | + | 0.914190i | \(0.632828\pi\) | |||||||
\(930\) | 32.7225 | − | 30.0114i | 1.07301 | − | 0.984112i | ||||
\(931\) | 2.22804 | + | 33.1139i | 0.0730209 | + | 1.08526i | ||||
\(932\) | 11.8514 | + | 1.14095i | 0.388206 | + | 0.0373730i | ||||
\(933\) | −60.1675 | + | 4.62878i | −1.96980 | + | 0.151539i | ||||
\(934\) | −15.3142 | − | 17.4672i | −0.501095 | − | 0.571543i | ||||
\(935\) | −0.804877 | + | 3.38354i | −0.0263223 | + | 0.110653i | ||||
\(936\) | 15.4949 | + | 51.7120i | 0.506467 | + | 1.69026i | ||||
\(937\) | −52.4946 | − | 11.6035i | −1.71492 | − | 0.379070i | −0.754214 | − | 0.656628i | \(-0.771982\pi\) |
−0.960709 | + | 0.277558i | \(0.910475\pi\) | |||||||
\(938\) | −10.9189 | − | 0.419383i | −0.356514 | − | 0.0136933i | ||||
\(939\) | 87.0785 | + | 74.8794i | 2.84170 | + | 2.44360i | ||||
\(940\) | 2.71436 | + | 3.72096i | 0.0885328 | + | 0.121364i | ||||
\(941\) | −3.32884 | − | 10.3805i | −0.108517 | − | 0.338396i | 0.882825 | − | 0.469702i | \(-0.155639\pi\) |
−0.991342 | + | 0.131306i | \(0.958083\pi\) | |||||||
\(942\) | −115.360 | − | 10.3613i | −3.75863 | − | 0.337591i | ||||
\(943\) | −0.225865 | − | 14.1190i | −0.00735517 | − | 0.459777i | ||||
\(944\) | −1.35200 | − | 6.61699i | −0.0440038 | − | 0.215365i | ||||
\(945\) | 16.1205 | − | 10.9118i | 0.524399 | − | 0.354960i | ||||
\(946\) | −2.14737 | + | 0.532644i | −0.0698171 | + | 0.0173178i | ||||
\(947\) | 3.50938 | − | 35.2698i | 0.114040 | − | 1.14611i | −0.756492 | − | 0.654003i | \(-0.773088\pi\) |
0.870532 | − | 0.492112i | \(-0.163775\pi\) | |||||||
\(948\) | −2.67092 | − | 4.26155i | −0.0867475 | − | 0.138409i | ||||
\(949\) | 1.32133 | + | 14.2013i | 0.0428923 | + | 0.460993i | ||||
\(950\) | −33.4310 | − | 21.7053i | −1.08464 | − | 0.704212i | ||||
\(951\) | 18.8305 | + | 0.843953i | 0.610620 | + | 0.0273671i | ||||
\(952\) | 2.94335 | + | 4.37845i | 0.0953945 | + | 0.141906i | ||||
\(953\) | −3.48752 | − | 23.0192i | −0.112972 | − | 0.745665i | −0.972214 | − | 0.234095i | \(-0.924787\pi\) |
0.859242 | − | 0.511570i | \(-0.170936\pi\) | |||||||
\(954\) | 116.851 | − | 169.110i | 3.78320 | − | 5.47514i | ||||
\(955\) | −6.41578 | + | 3.49723i | −0.207610 | + | 0.113168i | ||||
\(956\) | −1.39066 | − | 39.5011i | −0.0449770 | − | 1.27756i | ||||
\(957\) | −12.4620 | + | 5.12693i | −0.402839 | + | 0.165730i | ||||
\(958\) | 28.2096 | + | 66.7412i | 0.911412 | + | 2.15631i | ||||
\(959\) | 18.0526 | − | 1.62144i | 0.582950 | − | 0.0523591i | ||||
\(960\) | −0.727044 | − | 6.86105i | −0.0234652 | − | 0.221439i | ||||
\(961\) | −6.10786 | + | 14.9824i | −0.197028 | + | 0.483303i | ||||
\(962\) | 43.5360 | − | 31.9725i | 1.40366 | − | 1.03084i | ||||
\(963\) | −55.3064 | + | 19.5087i | −1.78223 | + | 0.628660i | ||||
\(964\) | −19.4746 | − | 14.8858i | −0.627236 | − | 0.479438i | ||||
\(965\) | −19.1169 | + | 4.35411i | −0.615395 | + | 0.140164i | ||||
\(966\) | −47.3870 | + | 20.9287i | −1.52465 | + | 0.673371i | ||||
\(967\) | −16.0086 | − | 56.0241i | −0.514803 | − | 1.80161i | −0.593646 | − | 0.804726i | \(-0.702312\pi\) |
0.0788436 | − | 0.996887i | \(-0.474877\pi\) | |||||||
\(968\) | 11.4030 | − | 5.84235i | 0.366508 | − | 0.187780i | ||||
\(969\) | −55.5302 | − | 51.5875i | −1.78389 | − | 1.65723i | ||||
\(970\) | −6.14874 | − | 7.10437i | −0.197424 | − | 0.228107i | ||||
\(971\) | 20.3171 | + | 46.4032i | 0.652006 | + | 1.48915i | 0.859618 | + | 0.510938i | \(0.170702\pi\) |
−0.207612 | + | 0.978211i | \(0.566569\pi\) | |||||||
\(972\) | 78.3303 | + | 5.01870i | 2.51244 | + | 0.160975i | ||||
\(973\) | 8.33658 | + | 10.6922i | 0.267258 | + | 0.342778i | ||||
\(974\) | 4.36760 | + | 7.17097i | 0.139947 | + | 0.229773i | ||||
\(975\) | 56.8579 | − | 39.0194i | 1.82091 | − | 1.24962i | ||||
\(976\) | 6.02538 | − | 13.2959i | 0.192868 | − | 0.425592i | ||||
\(977\) | 26.7020 | − | 24.1770i | 0.854272 | − | 0.773490i | −0.121428 | − | 0.992600i | \(-0.538747\pi\) |
0.975700 | + | 0.219110i | \(0.0703155\pi\) | |||||||
\(978\) | 36.1025 | − | 54.4545i | 1.15443 | − | 1.74126i | ||||
\(979\) | −3.03769 | − | 2.29127i | −0.0970850 | − | 0.0732291i | ||||
\(980\) | 7.17434 | + | 4.03065i | 0.229176 | + | 0.128754i | ||||
\(981\) | −33.9509 | + | 101.391i | −1.08397 | + | 3.23716i | ||||
\(982\) | −48.3799 | −1.54387 | ||||||||
\(983\) | 31.0965 | + | 4.00088i | 0.991825 | + | 0.127608i | ||||
\(984\) | −7.29466 | −0.232545 | ||||||||
\(985\) | 0.452121 | − | 1.35021i | 0.0144058 | − | 0.0430213i | ||||
\(986\) | −31.4853 | − | 17.6889i | −1.00270 | − | 0.563329i | ||||
\(987\) | −9.30474 | − | 7.01837i | −0.296173 | − | 0.223397i | ||||
\(988\) | −21.9269 | + | 33.0730i | −0.697589 | + | 1.05219i | ||||
\(989\) | −8.84794 | + | 8.01126i | −0.281348 | + | 0.254743i | ||||
\(990\) | −5.32721 | + | 11.7553i | −0.169310 | + | 0.373608i | ||||
\(991\) | 9.25588 | − | 6.35195i | 0.294023 | − | 0.201776i | −0.409757 | − | 0.912195i | \(-0.634386\pi\) |
0.703779 | + | 0.710419i | \(0.251494\pi\) | |||||||
\(992\) | 23.0241 | + | 37.8022i | 0.731014 | + | 1.20022i | ||||
\(993\) | 12.2996 | + | 15.7751i | 0.390315 | + | 0.500607i | ||||
\(994\) | 11.0622 | + | 0.708765i | 0.350871 | + | 0.0224807i | ||||
\(995\) | −1.75141 | − | 4.00014i | −0.0555235 | − | 0.126813i | ||||
\(996\) | −33.2395 | − | 38.4055i | −1.05323 | − | 1.21693i | ||||
\(997\) | 11.5896 | + | 10.7667i | 0.367046 | + | 0.340985i | 0.842442 | − | 0.538786i | \(-0.181117\pi\) |
−0.475397 | + | 0.879772i | \(0.657695\pi\) | |||||||
\(998\) | −24.5536 | + | 12.5800i | −0.777229 | + | 0.398213i | ||||
\(999\) | 26.4707 | + | 92.6374i | 0.837496 | + | 2.93092i |
(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 | 983.2.c.a.2.18 | ✓ | 39690 | |
983.492 | even | 491 | inner | 983.2.c.a.492.18 | yes | 39690 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
983.2.c.a.2.18 | ✓ | 39690 | 1.1 | even | 1 | trivial | |
983.2.c.a.492.18 | yes | 39690 | 983.492 | even | 491 | inner |