Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [310,2,Mod(3,310)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(310, base_ring=CyclotomicField(60))
chi = DirichletCharacter(H, H._module([45, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("310.3");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 310 = 2 \cdot 5 \cdot 31 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 310.w (of order \(60\), degree \(16\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.47536246266\) |
Analytic rank: | \(0\) |
Dimension: | \(256\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{60})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{60}]$ |
Embedding invariants
Embedding label | 53.6 | ||
Character | \(\chi\) | \(=\) | 310.53 |
Dual form | 310.2.w.a.117.6 |
$q$-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 \(\left(\mathbb{Z}/310\mathbb{Z}\right)^\times\).
\(n\) | \(187\) | \(251\) |
\(\chi(n)\) | \(e\left(\frac{3}{4}\right)\) | \(e\left(\frac{17}{30}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.453990 | − | 0.891007i | −0.321020 | − | 0.630037i | ||||
\(3\) | 0.865591 | − | 0.562122i | 0.499749 | − | 0.324541i | −0.270029 | − | 0.962852i | \(-0.587033\pi\) |
0.769778 | + | 0.638311i | \(0.220367\pi\) | |||||||
\(4\) | −0.587785 | + | 0.809017i | −0.293893 | + | 0.404508i | ||||
\(5\) | −0.633251 | + | 2.14453i | −0.283198 | + | 0.959061i | ||||
\(6\) | −0.893824 | − | 0.516050i | −0.364902 | − | 0.210676i | ||||
\(7\) | −0.913031 | + | 2.37853i | −0.345093 | + | 0.898999i | 0.645697 | + | 0.763594i | \(0.276567\pi\) |
−0.990790 | + | 0.135405i | \(0.956766\pi\) | |||||||
\(8\) | 0.987688 | + | 0.156434i | 0.349201 | + | 0.0553079i | ||||
\(9\) | −0.786942 | + | 1.76750i | −0.262314 | + | 0.589167i | ||||
\(10\) | 2.19828 | − | 0.409364i | 0.695156 | − | 0.129452i | ||||
\(11\) | 1.21275 | + | 0.127465i | 0.365658 | + | 0.0384322i | 0.285576 | − | 0.958356i | \(-0.407815\pi\) |
0.0800821 | + | 0.996788i | \(0.474482\pi\) | |||||||
\(12\) | −0.0540159 | + | 1.03068i | −0.0155930 | + | 0.297533i | ||||
\(13\) | 0.164024 | + | 3.12976i | 0.0454920 | + | 0.868039i | 0.922128 | + | 0.386885i | \(0.126449\pi\) |
−0.876636 | + | 0.481154i | \(0.840218\pi\) | |||||||
\(14\) | 2.53379 | − | 0.266312i | 0.677184 | − | 0.0711749i | ||||
\(15\) | 0.657348 | + | 2.21225i | 0.169727 | + | 0.571200i | ||||
\(16\) | −0.309017 | − | 0.951057i | −0.0772542 | − | 0.237764i | ||||
\(17\) | −1.30160 | + | 1.60734i | −0.315684 | + | 0.389837i | −0.910147 | − | 0.414286i | \(-0.864031\pi\) |
0.594463 | + | 0.804123i | \(0.297365\pi\) | |||||||
\(18\) | 1.93212 | − | 0.101258i | 0.455405 | − | 0.0238668i | ||||
\(19\) | 1.02943 | − | 0.926904i | 0.236168 | − | 0.212646i | −0.542545 | − | 0.840026i | \(-0.682539\pi\) |
0.778713 | + | 0.627380i | \(0.215873\pi\) | |||||||
\(20\) | −1.36274 | − | 1.77283i | −0.304719 | − | 0.396417i | ||||
\(21\) | 0.546710 | + | 2.57207i | 0.119302 | + | 0.561271i | ||||
\(22\) | −0.437005 | − | 1.13844i | −0.0931698 | − | 0.242716i | ||||
\(23\) | 0.488822 | − | 3.08630i | 0.101926 | − | 0.643538i | −0.882842 | − | 0.469669i | \(-0.844373\pi\) |
0.984769 | − | 0.173869i | \(-0.0556268\pi\) | |||||||
\(24\) | 0.942870 | − | 0.419793i | 0.192462 | − | 0.0856898i | ||||
\(25\) | −4.19799 | − | 2.71605i | −0.839597 | − | 0.543209i | ||||
\(26\) | 2.71417 | − | 1.56703i | 0.532293 | − | 0.307319i | ||||
\(27\) | 0.796748 | + | 5.03047i | 0.153334 | + | 0.968114i | ||||
\(28\) | −1.38760 | − | 2.13672i | −0.262232 | − | 0.403802i | ||||
\(29\) | 1.86983 | − | 5.75474i | 0.347218 | − | 1.06863i | −0.613167 | − | 0.789953i | \(-0.710105\pi\) |
0.960385 | − | 0.278675i | \(-0.0898952\pi\) | |||||||
\(30\) | 1.67270 | − | 1.59004i | 0.305391 | − | 0.290300i | ||||
\(31\) | 5.43852 | + | 1.19269i | 0.976787 | + | 0.214213i | ||||
\(32\) | −0.707107 | + | 0.707107i | −0.125000 | + | 0.125000i | ||||
\(33\) | 1.12140 | − | 0.571381i | 0.195210 | − | 0.0994646i | ||||
\(34\) | 2.02306 | + | 0.430015i | 0.346953 | + | 0.0737470i | ||||
\(35\) | −4.52264 | − | 3.46422i | −0.764465 | − | 0.585561i | ||||
\(36\) | −0.967385 | − | 1.67556i | −0.161231 | − | 0.279260i | ||||
\(37\) | −1.30163 | + | 0.348770i | −0.213986 | + | 0.0573375i | −0.364220 | − | 0.931313i | \(-0.618664\pi\) |
0.150233 | + | 0.988651i | \(0.451998\pi\) | |||||||
\(38\) | −1.29323 | − | 0.496424i | −0.209790 | − | 0.0805307i | ||||
\(39\) | 1.90128 | + | 2.61689i | 0.304449 | + | 0.419038i | ||||
\(40\) | −0.960932 | + | 2.01906i | −0.151937 | + | 0.319242i | ||||
\(41\) | 6.62433 | − | 1.40804i | 1.03455 | − | 0.219900i | 0.340813 | − | 0.940131i | \(-0.389298\pi\) |
0.693734 | + | 0.720232i | \(0.255964\pi\) | |||||||
\(42\) | 2.04353 | − | 1.65482i | 0.315323 | − | 0.255344i | ||||
\(43\) | −5.33448 | − | 0.279568i | −0.813500 | − | 0.0426337i | −0.358952 | − | 0.933356i | \(-0.616866\pi\) |
−0.454548 | + | 0.890722i | \(0.650199\pi\) | |||||||
\(44\) | −0.815959 | + | 0.906214i | −0.123010 | + | 0.136617i | ||||
\(45\) | −3.29212 | − | 2.80689i | −0.490760 | − | 0.418426i | ||||
\(46\) | −2.97183 | + | 0.965607i | −0.438173 | + | 0.142371i | ||||
\(47\) | 5.82891 | + | 2.96998i | 0.850234 | + | 0.433216i | 0.824101 | − | 0.566443i | \(-0.191681\pi\) |
0.0261326 | + | 0.999658i | \(0.491681\pi\) | |||||||
\(48\) | −0.802092 | − | 0.649521i | −0.115772 | − | 0.0937503i | ||||
\(49\) | 0.378248 | + | 0.340576i | 0.0540355 | + | 0.0486537i | ||||
\(50\) | −0.514168 | + | 4.97349i | −0.0727143 | + | 0.703358i | ||||
\(51\) | −0.223132 | + | 2.12296i | −0.0312447 | + | 0.297273i | ||||
\(52\) | −2.62844 | − | 1.70693i | −0.364499 | − | 0.236708i | ||||
\(53\) | −2.94893 | + | 1.13199i | −0.405066 | + | 0.155490i | −0.552366 | − | 0.833601i | \(-0.686275\pi\) |
0.147300 | + | 0.989092i | \(0.452942\pi\) | |||||||
\(54\) | 4.12046 | − | 2.99369i | 0.560724 | − | 0.407390i | ||||
\(55\) | −1.04133 | + | 2.52006i | −0.140413 | + | 0.339805i | ||||
\(56\) | −1.27387 | + | 2.20641i | −0.170229 | + | 0.294844i | ||||
\(57\) | 0.370034 | − | 1.38099i | 0.0490122 | − | 0.182916i | ||||
\(58\) | −5.97639 | + | 0.946568i | −0.784739 | + | 0.124290i | ||||
\(59\) | 1.93954 | − | 9.12483i | 0.252507 | − | 1.18795i | −0.650899 | − | 0.759164i | \(-0.725608\pi\) |
0.903406 | − | 0.428787i | \(-0.141059\pi\) | |||||||
\(60\) | −2.17613 | − | 0.768520i | −0.280937 | − | 0.0992156i | ||||
\(61\) | 10.7138i | 1.37176i | 0.727715 | + | 0.685880i | \(0.240583\pi\) | ||||
−0.727715 | + | 0.685880i | \(0.759417\pi\) | |||||||
\(62\) | −1.40634 | − | 5.38723i | −0.178606 | − | 0.684178i | ||||
\(63\) | −3.48555 | − | 3.48555i | −0.439138 | − | 0.439138i | ||||
\(64\) | 0.951057 | + | 0.309017i | 0.118882 | + | 0.0386271i | ||||
\(65\) | −6.81572 | − | 1.63017i | −0.845386 | − | 0.202198i | ||||
\(66\) | −1.01821 | − | 0.739771i | −0.125333 | − | 0.0910596i | ||||
\(67\) | 0.419756 | + | 0.112473i | 0.0512813 | + | 0.0137408i | 0.284369 | − | 0.958715i | \(-0.408216\pi\) |
−0.233087 | + | 0.972456i | \(0.574883\pi\) | |||||||
\(68\) | −0.535305 | − | 1.99779i | −0.0649153 | − | 0.242267i | ||||
\(69\) | −1.31176 | − | 2.94625i | −0.157917 | − | 0.354687i | ||||
\(70\) | −1.03341 | + | 5.60242i | −0.123516 | + | 0.669618i | ||||
\(71\) | 4.32449 | + | 1.92539i | 0.513223 | + | 0.228502i | 0.646972 | − | 0.762514i | \(-0.276035\pi\) |
−0.133749 | + | 0.991015i | \(0.542702\pi\) | |||||||
\(72\) | −1.05375 | + | 1.62264i | −0.124186 | + | 0.191229i | ||||
\(73\) | −8.51630 | − | 10.5168i | −0.996758 | − | 1.23089i | −0.972912 | − | 0.231177i | \(-0.925742\pi\) |
−0.0238460 | − | 0.999716i | \(-0.507591\pi\) | |||||||
\(74\) | 0.901683 | + | 1.00142i | 0.104819 | + | 0.116413i | ||||
\(75\) | −5.16049 | + | 0.00879403i | −0.595882 | + | 0.00101545i | ||||
\(76\) | 0.144797 | + | 1.37765i | 0.0166093 | + | 0.158027i | ||||
\(77\) | −1.41046 | + | 2.76818i | −0.160737 | + | 0.315464i | ||||
\(78\) | 1.46850 | − | 2.88210i | 0.166275 | − | 0.326333i | ||||
\(79\) | 0.919212 | + | 8.74571i | 0.103419 | + | 0.983970i | 0.916016 | + | 0.401143i | \(0.131387\pi\) |
−0.812596 | + | 0.582827i | \(0.801947\pi\) | |||||||
\(80\) | 2.23525 | − | 0.0604380i | 0.249909 | − | 0.00675717i | ||||
\(81\) | −0.366450 | − | 0.406984i | −0.0407167 | − | 0.0452205i | ||||
\(82\) | −4.26196 | − | 5.26308i | −0.470655 | − | 0.581210i | ||||
\(83\) | 0.842540 | − | 1.29740i | 0.0924808 | − | 0.142408i | −0.789402 | − | 0.613877i | \(-0.789609\pi\) |
0.881883 | + | 0.471469i | \(0.156276\pi\) | |||||||
\(84\) | −2.40219 | − | 1.06953i | −0.262101 | − | 0.116695i | ||||
\(85\) | −2.62275 | − | 3.80916i | −0.284477 | − | 0.413162i | ||||
\(86\) | 2.17270 | + | 4.87997i | 0.234289 | + | 0.526221i | ||||
\(87\) | −1.61636 | − | 6.03232i | −0.173292 | − | 0.646733i | ||||
\(88\) | 1.17788 | + | 0.315612i | 0.125562 | + | 0.0336444i | ||||
\(89\) | −8.14235 | − | 5.91577i | −0.863088 | − | 0.627070i | 0.0656355 | − | 0.997844i | \(-0.479093\pi\) |
−0.928723 | + | 0.370774i | \(0.879093\pi\) | |||||||
\(90\) | −1.00637 | + | 4.20760i | −0.106080 | + | 0.443520i | ||||
\(91\) | −7.59398 | − | 2.46743i | −0.796065 | − | 0.258657i | ||||
\(92\) | 2.20955 | + | 2.20955i | 0.230361 | + | 0.230361i | ||||
\(93\) | 5.37797 | − | 2.02473i | 0.557670 | − | 0.209954i | ||||
\(94\) | − | 6.54194i | − | 0.674749i | ||||||
\(95\) | 1.33588 | + | 2.79461i | 0.137059 | + | 0.286720i | ||||
\(96\) | −0.214586 | + | 1.00955i | −0.0219010 | + | 0.103036i | ||||
\(97\) | −16.5501 | + | 2.62128i | −1.68041 | + | 0.266150i | −0.922440 | − | 0.386141i | \(-0.873808\pi\) |
−0.757968 | + | 0.652292i | \(0.773808\pi\) | |||||||
\(98\) | 0.131735 | − | 0.491640i | 0.0133072 | − | 0.0496631i | ||||
\(99\) | −1.17966 | + | 2.04323i | −0.118560 | + | 0.205352i | ||||
\(100\) | 4.66484 | − | 1.79979i | 0.466484 | − | 0.179979i | ||||
\(101\) | 9.42695 | − | 6.84908i | 0.938017 | − | 0.681509i | −0.00992560 | − | 0.999951i | \(-0.503159\pi\) |
0.947942 | + | 0.318442i | \(0.103159\pi\) | |||||||
\(102\) | 1.99287 | − | 0.764990i | 0.197323 | − | 0.0757453i | ||||
\(103\) | 11.7473 | + | 7.62879i | 1.15750 | + | 0.751687i | 0.972923 | − | 0.231131i | \(-0.0742426\pi\) |
0.184575 | + | 0.982819i | \(0.440909\pi\) | |||||||
\(104\) | −0.327598 | + | 3.11689i | −0.0321236 | + | 0.305636i | ||||
\(105\) | −5.86207 | − | 0.456330i | −0.572079 | − | 0.0445332i | ||||
\(106\) | 2.34739 | + | 2.11360i | 0.227999 | + | 0.205291i | ||||
\(107\) | −5.17460 | − | 4.19031i | −0.500247 | − | 0.405092i | 0.345711 | − | 0.938341i | \(-0.387638\pi\) |
−0.845959 | + | 0.533249i | \(0.820971\pi\) | |||||||
\(108\) | −4.53805 | − | 2.31225i | −0.436674 | − | 0.222497i | ||||
\(109\) | 13.6172 | − | 4.42448i | 1.30429 | − | 0.423789i | 0.427216 | − | 0.904149i | \(-0.359494\pi\) |
0.877071 | + | 0.480361i | \(0.159494\pi\) | |||||||
\(110\) | 2.71814 | − | 0.216253i | 0.259165 | − | 0.0206189i | ||||
\(111\) | −0.930627 | + | 1.03357i | −0.0883312 | + | 0.0981017i | ||||
\(112\) | 2.54426 | + | 0.133339i | 0.240410 | + | 0.0125993i | ||||
\(113\) | 9.19504 | − | 7.44600i | 0.864997 | − | 0.700460i | −0.0903620 | − | 0.995909i | \(-0.528802\pi\) |
0.955359 | + | 0.295449i | \(0.0954691\pi\) | |||||||
\(114\) | −1.39846 | + | 0.297252i | −0.130978 | + | 0.0278402i | ||||
\(115\) | 6.30910 | + | 3.00269i | 0.588327 | + | 0.280002i | ||||
\(116\) | 3.55662 | + | 4.89527i | 0.330224 | + | 0.454515i | ||||
\(117\) | −5.66093 | − | 2.17303i | −0.523353 | − | 0.200896i | ||||
\(118\) | −9.01081 | + | 2.41444i | −0.829513 | + | 0.222267i | ||||
\(119\) | −2.63470 | − | 4.56344i | −0.241523 | − | 0.418330i | ||||
\(120\) | 0.303184 | + | 2.28784i | 0.0276767 | + | 0.208851i | ||||
\(121\) | −9.30511 | − | 1.97786i | −0.845919 | − | 0.179806i | ||||
\(122\) | 9.54606 | − | 4.86396i | 0.864259 | − | 0.440362i | ||||
\(123\) | 4.94247 | − | 4.94247i | 0.445647 | − | 0.445647i | ||||
\(124\) | −4.16159 | + | 3.69881i | −0.373722 | + | 0.332163i | ||||
\(125\) | 8.48301 | − | 7.28276i | 0.758743 | − | 0.651390i | ||||
\(126\) | −1.52324 | + | 4.68805i | −0.135701 | + | 0.417645i | ||||
\(127\) | 5.91910 | + | 9.11462i | 0.525235 | + | 0.808791i | 0.997351 | − | 0.0727455i | \(-0.0231761\pi\) |
−0.472115 | + | 0.881537i | \(0.656509\pi\) | |||||||
\(128\) | −0.156434 | − | 0.987688i | −0.0138270 | − | 0.0873001i | ||||
\(129\) | −4.77463 | + | 2.75663i | −0.420382 | + | 0.242708i | ||||
\(130\) | 1.64178 | + | 6.81293i | 0.143994 | + | 0.597534i | ||||
\(131\) | 10.4628 | − | 4.65832i | 0.914136 | − | 0.406999i | 0.104900 | − | 0.994483i | \(-0.466548\pi\) |
0.809236 | + | 0.587483i | \(0.199881\pi\) | |||||||
\(132\) | −0.196884 | + | 1.24308i | −0.0171366 | + | 0.108196i | ||||
\(133\) | 1.26476 | + | 3.29482i | 0.109669 | + | 0.285697i | ||||
\(134\) | −0.0903508 | − | 0.425067i | −0.00780512 | − | 0.0367202i | ||||
\(135\) | −11.2925 | − | 1.47690i | −0.971905 | − | 0.127111i | ||||
\(136\) | −1.53702 | + | 1.38394i | −0.131798 | + | 0.118672i | ||||
\(137\) | 7.42895 | − | 0.389335i | 0.634698 | − | 0.0332631i | 0.267726 | − | 0.963495i | \(-0.413728\pi\) |
0.366972 | + | 0.930232i | \(0.380394\pi\) | |||||||
\(138\) | −2.02960 | + | 2.50635i | −0.172771 | + | 0.213355i | ||||
\(139\) | 4.98784 | + | 15.3510i | 0.423063 | + | 1.30205i | 0.904837 | + | 0.425759i | \(0.139993\pi\) |
−0.481774 | + | 0.876296i | \(0.660007\pi\) | |||||||
\(140\) | 5.46095 | − | 1.62267i | 0.461535 | − | 0.137141i | ||||
\(141\) | 6.71494 | − | 0.705769i | 0.565500 | − | 0.0594365i | ||||
\(142\) | −0.247745 | − | 4.72726i | −0.0207903 | − | 0.396703i | ||||
\(143\) | −0.200016 | + | 3.81653i | −0.0167262 | + | 0.319154i | ||||
\(144\) | 1.92417 | + | 0.202239i | 0.160348 | + | 0.0168532i | ||||
\(145\) | 11.1571 | + | 7.65409i | 0.926548 | + | 0.635637i | ||||
\(146\) | −5.50418 | + | 12.3626i | −0.455529 | + | 1.02313i | ||||
\(147\) | 0.518854 | + | 0.0821783i | 0.0427943 | + | 0.00677795i | ||||
\(148\) | 0.482917 | − | 1.25804i | 0.0396955 | − | 0.103410i | ||||
\(149\) | −0.700776 | − | 0.404593i | −0.0574098 | − | 0.0331456i | 0.471020 | − | 0.882122i | \(-0.343886\pi\) |
−0.528430 | + | 0.848977i | \(0.677219\pi\) | |||||||
\(150\) | 2.35065 | + | 4.59404i | 0.191930 | + | 0.375102i | ||||
\(151\) | −3.62399 | + | 4.98800i | −0.294916 | + | 0.405918i | −0.930603 | − | 0.366029i | \(-0.880717\pi\) |
0.635687 | + | 0.771947i | \(0.280717\pi\) | |||||||
\(152\) | 1.16176 | − | 0.754454i | 0.0942309 | − | 0.0611943i | ||||
\(153\) | −1.81669 | − | 3.56546i | −0.146871 | − | 0.288250i | ||||
\(154\) | 3.10680 | 0.250353 | ||||||||
\(155\) | −6.00170 | + | 10.9078i | −0.482068 | + | 0.876134i | ||||
\(156\) | −3.23466 | −0.258980 | ||||||||
\(157\) | −5.04523 | − | 9.90183i | −0.402653 | − | 0.790252i | 0.597277 | − | 0.802035i | \(-0.296249\pi\) |
−0.999931 | + | 0.0117830i | \(0.996249\pi\) | |||||||
\(158\) | 7.37517 | − | 4.78949i | 0.586737 | − | 0.381032i | ||||
\(159\) | −1.91625 | + | 2.63750i | −0.151969 | + | 0.209167i | ||||
\(160\) | −1.06863 | − | 1.96418i | −0.0844829 | − | 0.155282i | ||||
\(161\) | 6.89454 | + | 3.98056i | 0.543366 | + | 0.313712i | ||||
\(162\) | −0.196261 | + | 0.511277i | −0.0154197 | + | 0.0401697i | ||||
\(163\) | 20.4174 | + | 3.23380i | 1.59922 | + | 0.253291i | 0.891437 | − | 0.453144i | \(-0.149698\pi\) |
0.707778 | + | 0.706435i | \(0.249698\pi\) | |||||||
\(164\) | −2.75455 | + | 6.18682i | −0.215094 | + | 0.483110i | ||||
\(165\) | 0.515215 | + | 2.76669i | 0.0401095 | + | 0.215387i | ||||
\(166\) | −1.53850 | − | 0.161702i | −0.119410 | − | 0.0125505i | ||||
\(167\) | −0.213160 | + | 4.06734i | −0.0164949 | + | 0.314741i | 0.977904 | + | 0.209052i | \(0.0670379\pi\) |
−0.994399 | + | 0.105688i | \(0.966295\pi\) | |||||||
\(168\) | 0.137619 | + | 2.62592i | 0.0106175 | + | 0.202594i | ||||
\(169\) | 3.16030 | − | 0.332160i | 0.243100 | − | 0.0255508i | ||||
\(170\) | −2.20329 | + | 4.06621i | −0.168984 | + | 0.311864i | ||||
\(171\) | 0.828201 | + | 2.54894i | 0.0633341 | + | 0.194922i | ||||
\(172\) | 3.36170 | − | 4.15136i | 0.256327 | − | 0.316538i | ||||
\(173\) | 15.2969 | − | 0.801674i | 1.16300 | − | 0.0609502i | 0.538951 | − | 0.842337i | \(-0.318821\pi\) |
0.624047 | + | 0.781387i | \(0.285487\pi\) | |||||||
\(174\) | −4.64103 | + | 4.17880i | −0.351835 | + | 0.316794i | ||||
\(175\) | 10.2931 | − | 7.50519i | 0.778084 | − | 0.567339i | ||||
\(176\) | −0.253534 | − | 1.19278i | −0.0191108 | − | 0.0899095i | ||||
\(177\) | −3.45041 | − | 8.98863i | −0.259349 | − | 0.675627i | ||||
\(178\) | −1.57444 | + | 9.94059i | −0.118009 | + | 0.745079i | ||||
\(179\) | 3.21846 | − | 1.43295i | 0.240559 | − | 0.107104i | −0.282916 | − | 0.959145i | \(-0.591302\pi\) |
0.523475 | + | 0.852041i | \(0.324635\pi\) | |||||||
\(180\) | 4.20588 | − | 1.01353i | 0.313488 | − | 0.0755444i | ||||
\(181\) | 3.44703 | − | 1.99015i | 0.256216 | − | 0.147926i | −0.366391 | − | 0.930461i | \(-0.619407\pi\) |
0.622607 | + | 0.782535i | \(0.286073\pi\) | |||||||
\(182\) | 1.24909 | + | 7.88647i | 0.0925891 | + | 0.584584i | ||||
\(183\) | 6.02245 | + | 9.27376i | 0.445193 | + | 0.685536i | ||||
\(184\) | 0.965607 | − | 2.97183i | 0.0711855 | − | 0.219086i | ||||
\(185\) | 0.0763099 | − | 3.01224i | 0.00561041 | − | 0.221464i | ||||
\(186\) | −4.24559 | − | 3.87260i | −0.311302 | − | 0.283953i | ||||
\(187\) | −1.78340 | + | 1.78340i | −0.130415 | + | 0.130415i | ||||
\(188\) | −5.82891 | + | 2.96998i | −0.425117 | + | 0.216608i | ||||
\(189\) | −12.6926 | − | 2.69789i | −0.923248 | − | 0.196242i | ||||
\(190\) | 1.88353 | − | 2.45900i | 0.136646 | − | 0.178395i | ||||
\(191\) | −5.09187 | − | 8.81938i | −0.368435 | − | 0.638148i | 0.620886 | − | 0.783901i | \(-0.286773\pi\) |
−0.989321 | + | 0.145753i | \(0.953440\pi\) | |||||||
\(192\) | 0.996931 | − | 0.267127i | 0.0719473 | − | 0.0192782i | ||||
\(193\) | −24.0733 | − | 9.24086i | −1.73283 | − | 0.665172i | −0.732946 | − | 0.680287i | \(-0.761855\pi\) |
−0.999886 | + | 0.0151150i | \(0.995189\pi\) | |||||||
\(194\) | 9.84916 | + | 13.5562i | 0.707129 | + | 0.973279i | ||||
\(195\) | −6.81598 | + | 2.42020i | −0.488103 | + | 0.173314i | ||||
\(196\) | −0.497861 | + | 0.105824i | −0.0355615 | + | 0.00755882i | ||||
\(197\) | 2.33397 | − | 1.89001i | 0.166288 | − | 0.134658i | −0.542564 | − | 0.840014i | \(-0.682546\pi\) |
0.708853 | + | 0.705357i | \(0.249213\pi\) | |||||||
\(198\) | 2.35609 | + | 0.123477i | 0.167440 | + | 0.00877515i | ||||
\(199\) | 17.6822 | − | 19.6381i | 1.25346 | − | 1.39210i | 0.366392 | − | 0.930461i | \(-0.380593\pi\) |
0.887065 | − | 0.461644i | \(-0.152740\pi\) | |||||||
\(200\) | −3.72142 | − | 3.33932i | −0.263144 | − | 0.236125i | ||||
\(201\) | 0.426561 | − | 0.138598i | 0.0300873 | − | 0.00977594i | ||||
\(202\) | −10.3823 | − | 5.29006i | −0.730498 | − | 0.372207i | ||||
\(203\) | 11.9806 | + | 9.70169i | 0.840873 | + | 0.680925i | ||||
\(204\) | −1.58635 | − | 1.42836i | −0.111067 | − | 0.100005i | ||||
\(205\) | −1.17527 | + | 15.0977i | −0.0820845 | + | 1.05447i | ||||
\(206\) | 1.46414 | − | 13.9303i | 0.102011 | − | 0.970572i | ||||
\(207\) | 5.07036 | + | 3.29273i | 0.352415 | + | 0.228861i | ||||
\(208\) | 2.92589 | − | 1.12314i | 0.202874 | − | 0.0778761i | ||||
\(209\) | 1.36659 | − | 0.992887i | 0.0945291 | − | 0.0686794i | ||||
\(210\) | 2.25473 | + | 5.43031i | 0.155591 | + | 0.374727i | ||||
\(211\) | 3.86968 | − | 6.70249i | 0.266400 | − | 0.461418i | −0.701530 | − | 0.712640i | \(-0.747499\pi\) |
0.967929 | + | 0.251222i | \(0.0808325\pi\) | |||||||
\(212\) | 0.817540 | − | 3.05110i | 0.0561488 | − | 0.209550i | ||||
\(213\) | 4.82555 | − | 0.764292i | 0.330641 | − | 0.0523684i | ||||
\(214\) | −1.38437 | + | 6.51296i | −0.0946338 | + | 0.445217i | ||||
\(215\) | 3.97760 | − | 11.2629i | 0.271270 | − | 0.768123i | ||||
\(216\) | 5.09317i | 0.346547i | ||||||||
\(217\) | −7.80238 | + | 11.8467i | −0.529660 | + | 0.804207i | ||||
\(218\) | −10.1243 | − | 10.1243i | −0.685704 | − | 0.685704i | ||||
\(219\) | −13.2833 | − | 4.31602i | −0.897604 | − | 0.291649i | ||||
\(220\) | −1.42669 | − | 2.32371i | −0.0961877 | − | 0.156664i | ||||
\(221\) | −5.24408 | − | 3.81005i | −0.352755 | − | 0.256292i | ||||
\(222\) | 1.34341 | + | 0.359966i | 0.0901638 | + | 0.0241593i | ||||
\(223\) | 5.17022 | + | 19.2955i | 0.346224 | + | 1.29212i | 0.891176 | + | 0.453657i | \(0.149881\pi\) |
−0.544953 | + | 0.838467i | \(0.683452\pi\) | |||||||
\(224\) | −1.03626 | − | 2.32748i | −0.0692382 | − | 0.155512i | ||||
\(225\) | 8.10419 | − | 5.28258i | 0.540279 | − | 0.352172i | ||||
\(226\) | −10.8089 | − | 4.81243i | −0.718997 | − | 0.320118i | ||||
\(227\) | −6.58255 | + | 10.1362i | −0.436899 | + | 0.672766i | −0.986704 | − | 0.162527i | \(-0.948035\pi\) |
0.549805 | + | 0.835293i | \(0.314702\pi\) | |||||||
\(228\) | 0.899740 | + | 1.11109i | 0.0595868 | + | 0.0735835i | ||||
\(229\) | −6.37011 | − | 7.07472i | −0.420949 | − | 0.467511i | 0.494949 | − | 0.868922i | \(-0.335187\pi\) |
−0.915898 | + | 0.401411i | \(0.868520\pi\) | |||||||
\(230\) | −0.188855 | − | 6.98465i | −0.0124527 | − | 0.460554i | ||||
\(231\) | 0.335174 | + | 3.18896i | 0.0220528 | + | 0.209818i | ||||
\(232\) | 2.74705 | − | 5.39138i | 0.180352 | − | 0.353962i | ||||
\(233\) | −1.21315 | + | 2.38095i | −0.0794763 | + | 0.155981i | −0.927325 | − | 0.374257i | \(-0.877898\pi\) |
0.847849 | + | 0.530239i | \(0.177898\pi\) | |||||||
\(234\) | 0.633827 | + | 6.03046i | 0.0414346 | + | 0.394223i | ||||
\(235\) | −10.0604 | + | 10.6195i | −0.656265 | + | 0.692740i | ||||
\(236\) | 6.24211 | + | 6.93256i | 0.406326 | + | 0.451271i | ||||
\(237\) | 5.71182 | + | 7.05351i | 0.371022 | + | 0.458174i | ||||
\(238\) | −2.86992 | + | 4.41929i | −0.186030 | + | 0.286460i | ||||
\(239\) | −17.7660 | − | 7.90992i | −1.14918 | − | 0.511650i | −0.258383 | − | 0.966043i | \(-0.583190\pi\) |
−0.890802 | + | 0.454393i | \(0.849856\pi\) | |||||||
\(240\) | 1.90084 | − | 1.30880i | 0.122699 | − | 0.0844825i | ||||
\(241\) | −9.17427 | − | 20.6057i | −0.590966 | − | 1.32733i | −0.923267 | − | 0.384159i | \(-0.874491\pi\) |
0.332301 | − | 0.943174i | \(-0.392175\pi\) | |||||||
\(242\) | 2.46214 | + | 9.18884i | 0.158272 | + | 0.590681i | ||||
\(243\) | −15.3049 | − | 4.10092i | −0.981807 | − | 0.263074i | ||||
\(244\) | −8.66764 | − | 6.29741i | −0.554889 | − | 0.403150i | ||||
\(245\) | −0.969901 | + | 0.595493i | −0.0619647 | + | 0.0380447i | ||||
\(246\) | −6.64761 | − | 2.15994i | −0.423836 | − | 0.137713i | ||||
\(247\) | 3.06984 | + | 3.06984i | 0.195329 | + | 0.195329i | ||||
\(248\) | 5.18498 | + | 2.02878i | 0.329247 | + | 0.128827i | ||||
\(249\) | − | 1.59663i | − | 0.101182i | ||||||
\(250\) | −10.3402 | − | 4.25211i | −0.653971 | − | 0.268927i | ||||
\(251\) | −0.156740 | + | 0.737404i | −0.00989335 | + | 0.0465445i | −0.982817 | − | 0.184581i | \(-0.940907\pi\) |
0.972924 | + | 0.231125i | \(0.0742407\pi\) | |||||||
\(252\) | 4.86862 | − | 0.771114i | 0.306694 | − | 0.0485756i | ||||
\(253\) | 0.986215 | − | 3.68061i | 0.0620028 | − | 0.231398i | ||||
\(254\) | 5.43397 | − | 9.41191i | 0.340957 | − | 0.590555i | ||||
\(255\) | −4.41144 | − | 1.82288i | −0.276255 | − | 0.114153i | ||||
\(256\) | −0.809017 | + | 0.587785i | −0.0505636 | + | 0.0367366i | ||||
\(257\) | 7.23478 | − | 2.77717i | 0.451293 | − | 0.173235i | −0.122096 | − | 0.992518i | \(-0.538962\pi\) |
0.573389 | + | 0.819283i | \(0.305628\pi\) | |||||||
\(258\) | 4.62381 | + | 3.00274i | 0.287866 | + | 0.186942i | ||||
\(259\) | 0.358867 | − | 3.41440i | 0.0222989 | − | 0.212160i | ||||
\(260\) | 5.32501 | − | 4.55584i | 0.330243 | − | 0.282541i | ||||
\(261\) | 8.70006 | + | 7.83357i | 0.538520 | + | 0.484886i | ||||
\(262\) | −8.90059 | − | 7.20756i | −0.549880 | − | 0.445284i | ||||
\(263\) | −7.14073 | − | 3.63839i | −0.440317 | − | 0.224352i | 0.219755 | − | 0.975555i | \(-0.429474\pi\) |
−0.660072 | + | 0.751203i | \(0.729474\pi\) | |||||||
\(264\) | 1.19698 | − | 0.388921i | 0.0736687 | − | 0.0239364i | ||||
\(265\) | −0.560167 | − | 7.04089i | −0.0344108 | − | 0.432518i | ||||
\(266\) | 2.36152 | − | 2.62273i | 0.144794 | − | 0.160810i | ||||
\(267\) | −10.3733 | − | 0.543643i | −0.634838 | − | 0.0332704i | ||||
\(268\) | −0.337719 | + | 0.273479i | −0.0206295 | + | 0.0167054i | ||||
\(269\) | −10.1112 | + | 2.14921i | −0.616492 | + | 0.131039i | −0.505564 | − | 0.862789i | \(-0.668716\pi\) |
−0.110928 | + | 0.993828i | \(0.535382\pi\) | |||||||
\(270\) | 3.81077 | + | 10.7322i | 0.231916 | + | 0.653141i | ||||
\(271\) | −18.3531 | − | 25.2609i | −1.11487 | − | 1.53449i | −0.814035 | − | 0.580816i | \(-0.802733\pi\) |
−0.300839 | − | 0.953675i | \(-0.597267\pi\) | |||||||
\(272\) | 1.93089 | + | 0.741198i | 0.117077 | + | 0.0449417i | ||||
\(273\) | −7.96028 | + | 2.13295i | −0.481778 | + | 0.129092i | ||||
\(274\) | −3.71957 | − | 6.44249i | −0.224708 | − | 0.389205i | ||||
\(275\) | −4.74491 | − | 3.82898i | −0.286129 | − | 0.230896i | ||||
\(276\) | 3.15460 | + | 0.670530i | 0.189884 | + | 0.0403612i | ||||
\(277\) | −3.48103 | + | 1.77367i | −0.209155 | + | 0.106570i | −0.555430 | − | 0.831563i | \(-0.687446\pi\) |
0.346275 | + | 0.938133i | \(0.387446\pi\) | |||||||
\(278\) | 11.4134 | − | 11.4134i | 0.684530 | − | 0.684530i | ||||
\(279\) | −6.38788 | + | 8.67401i | −0.382432 | + | 0.519299i | ||||
\(280\) | −3.92503 | − | 4.12907i | −0.234566 | − | 0.246759i | ||||
\(281\) | −8.33534 | + | 25.6535i | −0.497245 | + | 1.53036i | 0.316185 | + | 0.948698i | \(0.397598\pi\) |
−0.813429 | + | 0.581664i | \(0.802402\pi\) | |||||||
\(282\) | −3.67736 | − | 5.66264i | −0.218984 | − | 0.337206i | ||||
\(283\) | 0.479942 | + | 3.03024i | 0.0285296 | + | 0.180129i | 0.997838 | − | 0.0657183i | \(-0.0209339\pi\) |
−0.969309 | + | 0.245847i | \(0.920934\pi\) | |||||||
\(284\) | −4.09955 | + | 2.36687i | −0.243263 | + | 0.140448i | ||||
\(285\) | 2.72724 | + | 1.66806i | 0.161548 | + | 0.0988072i | ||||
\(286\) | 3.49136 | − | 1.55445i | 0.206448 | − | 0.0919166i | ||||
\(287\) | −2.69915 | + | 17.0417i | −0.159326 | + | 1.00594i | ||||
\(288\) | −0.693360 | − | 1.80626i | −0.0408566 | − | 0.106435i | ||||
\(289\) | 2.64511 | + | 12.4443i | 0.155595 | + | 0.732017i | ||||
\(290\) | 1.75462 | − | 13.4159i | 0.103035 | − | 0.787812i | ||||
\(291\) | −12.8521 | + | 11.5721i | −0.753406 | + | 0.678370i | ||||
\(292\) | 13.5140 | − | 0.708238i | 0.790846 | − | 0.0414465i | ||||
\(293\) | −12.7338 | + | 15.7250i | −0.743918 | + | 0.918662i | −0.998833 | − | 0.0483011i | \(-0.984619\pi\) |
0.254915 | + | 0.966964i | \(0.417953\pi\) | |||||||
\(294\) | −0.162333 | − | 0.499610i | −0.00946746 | − | 0.0291379i | ||||
\(295\) | 18.3402 | + | 9.93770i | 1.06781 | + | 0.578595i | ||||
\(296\) | −1.34016 | + | 0.140857i | −0.0778954 | + | 0.00818713i | ||||
\(297\) | 0.325047 | + | 6.20226i | 0.0188611 | + | 0.359892i | ||||
\(298\) | −0.0423496 | + | 0.808078i | −0.00245324 | + | 0.0468107i | ||||
\(299\) | 9.73955 | + | 1.02367i | 0.563253 | + | 0.0592003i | ||||
\(300\) | 3.02614 | − | 4.18009i | 0.174715 | − | 0.241338i | ||||
\(301\) | 5.53550 | − | 12.4329i | 0.319061 | − | 0.716623i | ||||
\(302\) | 6.08960 | + | 0.964498i | 0.350417 | + | 0.0555006i | ||||
\(303\) | 4.30987 | − | 11.2276i | 0.247596 | − | 0.645009i | ||||
\(304\) | −1.19965 | − | 0.692618i | −0.0688046 | − | 0.0397244i | ||||
\(305\) | −22.9760 | − | 6.78451i | −1.31560 | − | 0.388480i | ||||
\(306\) | −2.35209 | + | 3.23737i | −0.134460 | + | 0.185068i | ||||
\(307\) | 21.4998 | − | 13.9621i | 1.22706 | − | 0.796860i | 0.242199 | − | 0.970227i | \(-0.422131\pi\) |
0.984857 | + | 0.173367i | \(0.0554646\pi\) | |||||||
\(308\) | −1.41046 | − | 2.76818i | −0.0803684 | − | 0.157732i | ||||
\(309\) | 14.4567 | 0.822412 | ||||||||
\(310\) | 12.4436 | + | 0.395526i | 0.706750 | + | 0.0224644i | ||||
\(311\) | 8.56333 | 0.485582 | 0.242791 | − | 0.970079i | \(-0.421937\pi\) | ||||
0.242791 | + | 0.970079i | \(0.421937\pi\) | |||||||
\(312\) | 1.46850 | + | 2.88210i | 0.0831376 | + | 0.163167i | ||||
\(313\) | −1.43868 | + | 0.934290i | −0.0813190 | + | 0.0528092i | −0.584658 | − | 0.811280i | \(-0.698771\pi\) |
0.503339 | + | 0.864089i | \(0.332105\pi\) | |||||||
\(314\) | −6.53211 | + | 8.99067i | −0.368628 | + | 0.507373i | ||||
\(315\) | 9.68207 | − | 5.26762i | 0.545523 | − | 0.296797i | ||||
\(316\) | −7.61573 | − | 4.39694i | −0.428418 | − | 0.247347i | ||||
\(317\) | −3.38904 | + | 8.82875i | −0.190347 | + | 0.495872i | −0.995229 | − | 0.0975630i | \(-0.968895\pi\) |
0.804882 | + | 0.593435i | \(0.202229\pi\) | |||||||
\(318\) | 3.21999 | + | 0.509996i | 0.180568 | + | 0.0285991i | ||||
\(319\) | 3.00117 | − | 6.74073i | 0.168033 | − | 0.377408i | ||||
\(320\) | −1.26495 | + | 1.84388i | −0.0707130 | + | 0.103076i | ||||
\(321\) | −6.83455 | − | 0.718340i | −0.381467 | − | 0.0400938i | ||||
\(322\) | 0.416653 | − | 7.95021i | 0.0232192 | − | 0.443048i | ||||
\(323\) | 0.149944 | + | 2.86110i | 0.00834311 | + | 0.159196i | ||||
\(324\) | 0.544651 | − | 0.0572452i | 0.0302584 | − | 0.00318029i | ||||
\(325\) | 7.81200 | − | 13.5842i | 0.433332 | − | 0.753515i | ||||
\(326\) | −6.38798 | − | 19.6602i | −0.353797 | − | 1.08888i | ||||
\(327\) | 9.29980 | − | 11.4843i | 0.514280 | − | 0.635083i | ||||
\(328\) | 6.76304 | − | 0.354436i | 0.373426 | − | 0.0195704i | ||||
\(329\) | −12.3861 | + | 11.1525i | −0.682870 | + | 0.614859i | ||||
\(330\) | 2.23124 | − | 1.71511i | 0.122826 | − | 0.0944139i | ||||
\(331\) | −4.19868 | − | 19.7532i | −0.230780 | − | 1.08574i | −0.929065 | − | 0.369916i | \(-0.879386\pi\) |
0.698285 | − | 0.715820i | \(-0.253947\pi\) | |||||||
\(332\) | 0.554385 | + | 1.44422i | 0.0304258 | + | 0.0792619i | ||||
\(333\) | 0.407854 | − | 2.57509i | 0.0223503 | − | 0.141114i | ||||
\(334\) | 3.72080 | − | 1.65661i | 0.203593 | − | 0.0906456i | ||||
\(335\) | −0.507012 | + | 0.828954i | −0.0277010 | + | 0.0452906i | ||||
\(336\) | 2.27724 | − | 1.31476i | 0.124234 | − | 0.0717263i | ||||
\(337\) | 2.50603 | + | 15.8225i | 0.136512 | + | 0.861905i | 0.956968 | + | 0.290194i | \(0.0937200\pi\) |
−0.820455 | + | 0.571711i | \(0.806280\pi\) | |||||||
\(338\) | −1.73070 | − | 2.66505i | −0.0941377 | − | 0.144959i | ||||
\(339\) | 3.77359 | − | 11.6139i | 0.204953 | − | 0.630782i | ||||
\(340\) | 4.62329 | + | 0.117123i | 0.250733 | + | 0.00635189i | ||||
\(341\) | 6.44354 | + | 2.13966i | 0.348937 | + | 0.115869i | ||||
\(342\) | 1.89513 | − | 1.89513i | 0.102477 | − | 0.102477i | ||||
\(343\) | −17.0458 | + | 8.68529i | −0.920389 | + | 0.468962i | ||||
\(344\) | −5.22507 | − | 1.11062i | −0.281717 | − | 0.0598807i | ||||
\(345\) | 7.14898 | − | 0.947379i | 0.384888 | − | 0.0510052i | ||||
\(346\) | −7.65892 | − | 13.2656i | −0.411746 | − | 0.713166i | ||||
\(347\) | 23.5024 | − | 6.29745i | 1.26168 | − | 0.338065i | 0.434840 | − | 0.900508i | \(-0.356805\pi\) |
0.826836 | + | 0.562443i | \(0.190138\pi\) | |||||||
\(348\) | 5.83032 | + | 2.23805i | 0.312538 | + | 0.119972i | ||||
\(349\) | 16.5116 | + | 22.7263i | 0.883847 | + | 1.21651i | 0.975340 | + | 0.220706i | \(0.0708361\pi\) |
−0.0914931 | + | 0.995806i | \(0.529164\pi\) | |||||||
\(350\) | −11.3601 | − | 5.76392i | −0.607225 | − | 0.308094i | ||||
\(351\) | −15.6135 | + | 3.31875i | −0.833385 | + | 0.177142i | ||||
\(352\) | −0.947676 | + | 0.767413i | −0.0505113 | + | 0.0409033i | ||||
\(353\) | −29.8316 | − | 1.56341i | −1.58778 | − | 0.0832119i | −0.762140 | − | 0.647413i | \(-0.775851\pi\) |
−0.825637 | + | 0.564201i | \(0.809184\pi\) | |||||||
\(354\) | −6.44247 | + | 7.15509i | −0.342414 | + | 0.380289i | ||||
\(355\) | −6.86754 | + | 8.05474i | −0.364491 | + | 0.427501i | ||||
\(356\) | 9.57191 | − | 3.11010i | 0.507310 | − | 0.164835i | ||||
\(357\) | −4.84578 | − | 2.46905i | −0.256466 | − | 0.130676i | ||||
\(358\) | −2.73792 | − | 2.21712i | −0.144704 | − | 0.117179i | ||||
\(359\) | −22.9080 | − | 20.6264i | −1.20904 | − | 1.08862i | −0.993699 | − | 0.112082i | \(-0.964248\pi\) |
−0.215338 | − | 0.976540i | \(-0.569085\pi\) | |||||||
\(360\) | −2.81250 | − | 3.28733i | −0.148232 | − | 0.173258i | ||||
\(361\) | −1.78546 | + | 16.9875i | −0.0939717 | + | 0.894081i | ||||
\(362\) | −3.33815 | − | 2.16782i | −0.175449 | − | 0.113938i | ||||
\(363\) | −9.16622 | + | 3.51858i | −0.481102 | + | 0.184678i | ||||
\(364\) | 6.45982 | − | 4.69334i | 0.338587 | − | 0.245998i | ||||
\(365\) | 27.9464 | − | 11.6037i | 1.46278 | − | 0.607365i | ||||
\(366\) | 5.52885 | − | 9.57625i | 0.288998 | − | 0.500558i | ||||
\(367\) | 3.69429 | − | 13.7873i | 0.192840 | − | 0.719689i | −0.799975 | − | 0.600033i | \(-0.795154\pi\) |
0.992815 | − | 0.119656i | \(-0.0381792\pi\) | |||||||
\(368\) | −3.08630 | + | 0.488822i | −0.160884 | + | 0.0254816i | ||||
\(369\) | −2.72424 | + | 12.8166i | −0.141818 | + | 0.667203i | ||||
\(370\) | −2.71857 | + | 1.29953i | −0.141331 | + | 0.0675595i | ||||
\(371\) | − | 8.04765i | − | 0.417813i | ||||||
\(372\) | −1.52305 | + | 5.54098i | −0.0789666 | + | 0.287286i | ||||
\(373\) | −13.3713 | − | 13.3713i | −0.692337 | − | 0.692337i | 0.270409 | − | 0.962746i | \(-0.412841\pi\) |
−0.962746 | + | 0.270409i | \(0.912841\pi\) | |||||||
\(374\) | 2.39866 | + | 0.779372i | 0.124032 | + | 0.0403004i | ||||
\(375\) | 3.24902 | − | 11.0724i | 0.167779 | − | 0.571775i | ||||
\(376\) | 5.29254 | + | 3.84525i | 0.272942 | + | 0.198304i | ||||
\(377\) | 18.3176 | + | 4.90820i | 0.943407 | + | 0.252785i | ||||
\(378\) | 3.35847 | + | 12.5340i | 0.172741 | + | 0.644678i | ||||
\(379\) | 0.253352 | + | 0.569038i | 0.0130138 | + | 0.0292295i | 0.919935 | − | 0.392070i | \(-0.128241\pi\) |
−0.906922 | + | 0.421299i | \(0.861574\pi\) | |||||||
\(380\) | −3.04609 | − | 0.561876i | −0.156261 | − | 0.0288236i | ||||
\(381\) | 10.2470 | + | 4.56228i | 0.524972 | + | 0.233733i | ||||
\(382\) | −5.54646 | + | 8.54081i | −0.283782 | + | 0.436986i | ||||
\(383\) | 19.6255 | + | 24.2355i | 1.00282 | + | 1.23837i | 0.971049 | + | 0.238879i | \(0.0767799\pi\) |
0.0317665 | + | 0.999495i | \(0.489887\pi\) | |||||||
\(384\) | −0.690609 | − | 0.766999i | −0.0352425 | − | 0.0391408i | ||||
\(385\) | −5.04327 | − | 4.77772i | −0.257029 | − | 0.243495i | ||||
\(386\) | 2.69537 | + | 25.6447i | 0.137191 | + | 1.30528i | ||||
\(387\) | 4.69206 | − | 9.20869i | 0.238511 | − | 0.468104i | ||||
\(388\) | 7.60725 | − | 14.9301i | 0.386199 | − | 0.757959i | ||||
\(389\) | 3.70414 | + | 35.2425i | 0.187807 | + | 1.78687i | 0.530767 | + | 0.847518i | \(0.321904\pi\) |
−0.342960 | + | 0.939350i | \(0.611429\pi\) | |||||||
\(390\) | 5.25081 | + | 4.97433i | 0.265885 | + | 0.251885i | ||||
\(391\) | 4.32448 | + | 4.80282i | 0.218698 | + | 0.242889i | ||||
\(392\) | 0.320313 | + | 0.395554i | 0.0161783 | + | 0.0199785i | ||||
\(393\) | 6.43793 | − | 9.91355i | 0.324751 | − | 0.500072i | ||||
\(394\) | −2.74361 | − | 1.22153i | −0.138221 | − | 0.0615400i | ||||
\(395\) | −19.3375 | − | 3.56695i | −0.972975 | − | 0.179473i | ||||
\(396\) | −0.959622 | − | 2.15535i | −0.0482228 | − | 0.108310i | ||||
\(397\) | −1.83064 | − | 6.83205i | −0.0918773 | − | 0.342891i | 0.904650 | − | 0.426155i | \(-0.140132\pi\) |
−0.996528 | + | 0.0832641i | \(0.973465\pi\) | |||||||
\(398\) | −25.5252 | − | 6.83945i | −1.27946 | − | 0.342831i | ||||
\(399\) | 2.94686 | + | 2.14102i | 0.147527 | + | 0.107185i | ||||
\(400\) | −1.28586 | + | 4.83183i | −0.0642932 | + | 0.241591i | ||||
\(401\) | −18.1393 | − | 5.89382i | −0.905834 | − | 0.294323i | −0.181191 | − | 0.983448i | \(-0.557995\pi\) |
−0.724643 | + | 0.689125i | \(0.757995\pi\) | |||||||
\(402\) | −0.317146 | − | 0.317146i | −0.0158178 | − | 0.0158178i | ||||
\(403\) | −2.84078 | + | 17.2169i | −0.141510 | + | 0.857634i | ||||
\(404\) | 11.6524i | 0.579726i | ||||||||
\(405\) | 1.10484 | − | 0.528139i | 0.0549001 | − | 0.0262435i | ||||
\(406\) | 3.20520 | − | 15.0793i | 0.159071 | − | 0.748371i | ||||
\(407\) | −1.62301 | + | 0.257059i | −0.0804495 | + | 0.0127419i | ||||
\(408\) | −0.552488 | + | 2.06191i | −0.0273522 | + | 0.102080i | ||||
\(409\) | −13.8097 | + | 23.9191i | −0.682846 | + | 1.18272i | 0.291262 | + | 0.956643i | \(0.405925\pi\) |
−0.974108 | + | 0.226081i | \(0.927408\pi\) | |||||||
\(410\) | 13.9857 | − | 5.80703i | 0.690705 | − | 0.286789i | ||||
\(411\) | 6.21158 | − | 4.51298i | 0.306395 | − | 0.222609i | ||||
\(412\) | −13.0767 | + | 5.01968i | −0.644244 | + | 0.247302i | ||||
\(413\) | 19.9328 | + | 12.9445i | 0.980828 | + | 0.636957i | ||||
\(414\) | 0.631949 | − | 6.01260i | 0.0310586 | − | 0.295503i | ||||
\(415\) | 2.24877 | + | 2.62843i | 0.110388 | + | 0.129024i | ||||
\(416\) | −2.32906 | − | 2.09709i | −0.114191 | − | 0.102818i | ||||
\(417\) | 12.9466 | + | 10.4839i | 0.633996 | + | 0.513400i | ||||
\(418\) | −1.50509 | − | 0.766881i | −0.0736163 | − | 0.0375094i | ||||
\(419\) | 15.3204 | − | 4.97791i | 0.748452 | − | 0.243187i | 0.0901367 | − | 0.995929i | \(-0.471270\pi\) |
0.658315 | + | 0.752743i | \(0.271270\pi\) | |||||||
\(420\) | 3.81482 | − | 4.47429i | 0.186144 | − | 0.218323i | ||||
\(421\) | 3.32795 | − | 3.69606i | 0.162194 | − | 0.180135i | −0.656570 | − | 0.754266i | \(-0.727993\pi\) |
0.818764 | + | 0.574131i | \(0.194660\pi\) | |||||||
\(422\) | −7.72876 | − | 0.405047i | −0.376230 | − | 0.0197174i | ||||
\(423\) | −9.83645 | + | 7.96540i | −0.478265 | + | 0.387291i | ||||
\(424\) | −3.08970 | + | 0.656737i | −0.150049 | + | 0.0318940i | ||||
\(425\) | 9.82970 | − | 3.21239i | 0.476811 | − | 0.155824i | ||||
\(426\) | −2.87174 | − | 3.95261i | −0.139136 | − | 0.191505i | ||||
\(427\) | −25.4830 | − | 9.78202i | −1.23321 | − | 0.473385i | ||||
\(428\) | 6.43158 | − | 1.72334i | 0.310882 | − | 0.0833007i | ||||
\(429\) | 1.97222 | + | 3.41599i | 0.0952197 | + | 0.164925i | ||||
\(430\) | −11.8411 | + | 1.56918i | −0.571029 | + | 0.0756724i | ||||
\(431\) | −26.0443 | − | 5.53589i | −1.25451 | − | 0.266655i | −0.467721 | − | 0.883876i | \(-0.654925\pi\) |
−0.786789 | + | 0.617221i | \(0.788258\pi\) | |||||||
\(432\) | 4.53805 | − | 2.31225i | 0.218337 | − | 0.111248i | ||||
\(433\) | 24.5104 | − | 24.5104i | 1.17790 | − | 1.17790i | 0.197617 | − | 0.980279i | \(-0.436680\pi\) |
0.980279 | − | 0.197617i | \(-0.0633204\pi\) | |||||||
\(434\) | 14.0977 | + | 1.57368i | 0.676711 | + | 0.0755391i | ||||
\(435\) | 13.9600 | + | 0.353654i | 0.669332 | + | 0.0169564i | ||||
\(436\) | −4.42448 | + | 13.6172i | −0.211894 | + | 0.652144i | ||||
\(437\) | −2.35749 | − | 3.63022i | −0.112774 | − | 0.173657i | ||||
\(438\) | 2.18491 | + | 13.7950i | 0.104399 | + | 0.659149i | ||||
\(439\) | −12.6115 | + | 7.28126i | −0.601915 | + | 0.347516i | −0.769795 | − | 0.638292i | \(-0.779641\pi\) |
0.167880 | + | 0.985808i | \(0.446308\pi\) | |||||||
\(440\) | −1.42273 | + | 2.32613i | −0.0678261 | + | 0.110894i | ||||
\(441\) | −0.899628 | + | 0.400540i | −0.0428394 | + | 0.0190733i | ||||
\(442\) | −1.01401 | + | 6.40224i | −0.0482318 | + | 0.304523i | ||||
\(443\) | 6.99345 | + | 18.2186i | 0.332269 | + | 0.865589i | 0.993335 | + | 0.115262i | \(0.0367708\pi\) |
−0.661066 | + | 0.750327i | \(0.729896\pi\) | |||||||
\(444\) | −0.289164 | − | 1.36041i | −0.0137231 | − | 0.0645621i | ||||
\(445\) | 17.8427 | − | 13.7153i | 0.845824 | − | 0.650169i | ||||
\(446\) | 14.8452 | − | 13.3667i | 0.702941 | − | 0.632931i | ||||
\(447\) | −0.834017 | + | 0.0437090i | −0.0394476 | + | 0.00206736i | ||||
\(448\) | −1.60335 | + | 1.97997i | −0.0757511 | + | 0.0935449i | ||||
\(449\) | 4.87108 | + | 14.9916i | 0.229881 | + | 0.707500i | 0.997759 | + | 0.0669045i | \(0.0213123\pi\) |
−0.767879 | + | 0.640595i | \(0.778688\pi\) | |||||||
\(450\) | −8.38603 | − | 4.82264i | −0.395321 | − | 0.227342i | ||||
\(451\) | 8.21314 | − | 0.863236i | 0.386742 | − | 0.0406482i | ||||
\(452\) | 0.619229 | + | 11.8156i | 0.0291261 | + | 0.555759i | ||||
\(453\) | −0.333035 | + | 6.35470i | −0.0156474 | + | 0.298570i | ||||
\(454\) | 12.0199 | + | 1.26334i | 0.564120 | + | 0.0592914i | ||||
\(455\) | 10.1004 | − | 14.7230i | 0.473512 | − | 0.690224i | ||||
\(456\) | 0.581512 | − | 1.30610i | 0.0272318 | − | 0.0611636i | ||||
\(457\) | 10.3834 | + | 1.64457i | 0.485716 | + | 0.0769298i | 0.394490 | − | 0.918900i | \(-0.370921\pi\) |
0.0912261 | + | 0.995830i | \(0.470921\pi\) | |||||||
\(458\) | −3.41166 | + | 8.88767i | −0.159416 | + | 0.415293i | ||||
\(459\) | −9.12272 | − | 5.26700i | −0.425812 | − | 0.245843i | ||||
\(460\) | −6.13763 | + | 3.33923i | −0.286168 | + | 0.155693i | ||||
\(461\) | 13.2047 | − | 18.1747i | 0.615004 | − | 0.846481i | −0.381973 | − | 0.924173i | \(-0.624755\pi\) |
0.996977 | + | 0.0776926i | \(0.0247553\pi\) | |||||||
\(462\) | 2.68922 | − | 1.74640i | 0.125114 | − | 0.0812499i | ||||
\(463\) | 8.13901 | + | 15.9737i | 0.378252 | + | 0.742361i | 0.999137 | − | 0.0415407i | \(-0.0132266\pi\) |
−0.620885 | + | 0.783902i | \(0.713227\pi\) | |||||||
\(464\) | −6.05089 | −0.280906 | ||||||||
\(465\) | 0.936478 | + | 12.8154i | 0.0434281 | + | 0.594298i | ||||
\(466\) | 2.67220 | 0.123787 | ||||||||
\(467\) | −8.30195 | − | 16.2935i | −0.384168 | − | 0.753973i | 0.615241 | − | 0.788339i | \(-0.289059\pi\) |
−0.999409 | + | 0.0343664i | \(0.989059\pi\) | |||||||
\(468\) | 5.08543 | − | 3.30252i | 0.235074 | − | 0.152659i | ||||
\(469\) | −0.650771 | + | 0.895709i | −0.0300498 | + | 0.0413600i | ||||
\(470\) | 14.0294 | + | 4.14269i | 0.647126 | + | 0.191088i | ||||
\(471\) | −9.93314 | − | 5.73490i | −0.457695 | − | 0.264250i | ||||
\(472\) | 3.34310 | − | 8.70907i | 0.153879 | − | 0.400868i | ||||
\(473\) | −6.43376 | − | 1.01901i | −0.295824 | − | 0.0468540i | ||||
\(474\) | 3.69161 | − | 8.29149i | 0.169561 | − | 0.380841i | ||||
\(475\) | −6.83905 | + | 1.09515i | −0.313797 | + | 0.0502489i | ||||
\(476\) | 5.24054 | + | 0.550803i | 0.240200 | + | 0.0252460i | ||||
\(477\) | 0.319847 | − | 6.10304i | 0.0146448 | − | 0.279439i | ||||
\(478\) | 1.01779 | + | 19.4206i | 0.0465527 | + | 0.888278i | ||||
\(479\) | −14.1029 | + | 1.48227i | −0.644377 | + | 0.0677268i | −0.421080 | − | 0.907024i | \(-0.638349\pi\) |
−0.223297 | + | 0.974750i | \(0.571682\pi\) | |||||||
\(480\) | −2.02911 | − | 1.09948i | −0.0926158 | − | 0.0501841i | ||||
\(481\) | −1.30506 | − | 4.01658i | −0.0595058 | − | 0.183140i | ||||
\(482\) | −14.1948 | + | 17.5291i | −0.646556 | + | 0.798431i | ||||
\(483\) | 8.20541 | − | 0.430027i | 0.373359 | − | 0.0195669i | ||||
\(484\) | 7.06953 | − | 6.36543i | 0.321342 | − | 0.289338i | ||||
\(485\) | 4.85896 | − | 37.1521i | 0.220634 | − | 1.68699i | ||||
\(486\) | 3.29431 | + | 15.4985i | 0.149433 | + | 0.703027i | ||||
\(487\) | 4.09480 | + | 10.6673i | 0.185553 | + | 0.483383i | 0.994529 | − | 0.104459i | \(-0.0333111\pi\) |
−0.808976 | + | 0.587842i | \(0.799978\pi\) | |||||||
\(488\) | −1.67601 | + | 10.5819i | −0.0758692 | + | 0.479019i | ||||
\(489\) | 19.4909 | − | 8.67792i | 0.881410 | − | 0.392429i | ||||
\(490\) | 0.970914 | + | 0.593839i | 0.0438614 | + | 0.0268269i | ||||
\(491\) | −36.6361 | + | 21.1519i | −1.65336 | + | 0.954571i | −0.677690 | + | 0.735347i | \(0.737019\pi\) |
−0.975675 | + | 0.219223i | \(0.929648\pi\) | |||||||
\(492\) | 1.09343 | + | 6.90365i | 0.0492957 | + | 0.311241i | ||||
\(493\) | 6.81606 | + | 10.4958i | 0.306980 | + | 0.472707i | ||||
\(494\) | 1.34157 | − | 4.12892i | 0.0603600 | − | 0.185769i | ||||
\(495\) | −3.63474 | − | 3.82369i | −0.163370 | − | 0.171862i | ||||
\(496\) | −0.546280 | − | 5.54090i | −0.0245287 | − | 0.248794i | ||||
\(497\) | −8.52799 | + | 8.52799i | −0.382532 | + | 0.382532i | ||||
\(498\) | −1.42261 | + | 0.724854i | −0.0637485 | + | 0.0324815i | ||||
\(499\) | 38.1968 | + | 8.11898i | 1.70992 | + | 0.363456i | 0.955968 | − | 0.293469i | \(-0.0948099\pi\) |
0.753956 | + | 0.656925i | \(0.228143\pi\) | |||||||
\(500\) | 0.905687 | + | 11.1436i | 0.0405036 | + | 0.498357i | ||||
\(501\) | 2.10183 | + | 3.64048i | 0.0939029 | + | 0.162645i | ||||
\(502\) | 0.728190 | − | 0.195118i | 0.0325007 | − | 0.00870854i | ||||
\(503\) | −27.1068 | − | 10.4053i | −1.20863 | − | 0.463950i | −0.331158 | − | 0.943575i | \(-0.607439\pi\) |
−0.877473 | + | 0.479625i | \(0.840773\pi\) | |||||||
\(504\) | −2.89737 | − | 3.98789i | −0.129059 | − | 0.177635i | ||||
\(505\) | 8.71841 | + | 24.5535i | 0.387964 | + | 1.09262i | ||||
\(506\) | −3.72718 | + | 0.792236i | −0.165693 | + | 0.0352192i | ||||
\(507\) | 2.54881 | − | 2.06399i | 0.113197 | − | 0.0916648i | ||||
\(508\) | −10.8530 | − | 0.568784i | −0.481526 | − | 0.0252357i | ||||
\(509\) | −12.4488 | + | 13.8258i | −0.551783 | + | 0.612818i | −0.952928 | − | 0.303197i | \(-0.901946\pi\) |
0.401144 | + | 0.916015i | \(0.368613\pi\) | |||||||
\(510\) | 0.378557 | + | 4.75819i | 0.0167628 | + | 0.210696i | ||||
\(511\) | 32.7900 | − | 10.6541i | 1.45055 | − | 0.471311i | ||||
\(512\) | 0.891007 | + | 0.453990i | 0.0393773 | + | 0.0200637i | ||||
\(513\) | 5.48296 | + | 4.44001i | 0.242079 | + | 0.196031i | ||||
\(514\) | −5.75900 | − | 5.18543i | −0.254019 | − | 0.228720i | ||||
\(515\) | −23.7991 | + | 20.3615i | −1.04872 | + | 0.897234i | ||||
\(516\) | 0.576293 | − | 5.48306i | 0.0253699 | − | 0.241378i | ||||
\(517\) | 6.69045 | + | 4.34483i | 0.294246 | + | 0.191085i | ||||
\(518\) | −3.20517 | + | 1.23035i | −0.140827 | + | 0.0540585i | ||||
\(519\) | 12.7902 | − | 9.29262i | 0.561427 | − | 0.407901i | ||||
\(520\) | −6.47679 | − | 2.67631i | −0.284026 | − | 0.117364i | ||||
\(521\) | 0.499310 | − | 0.864830i | 0.0218751 | − | 0.0378889i | −0.854881 | − | 0.518825i | \(-0.826370\pi\) |
0.876756 | + | 0.480936i | \(0.159703\pi\) | |||||||
\(522\) | 3.03002 | − | 11.3082i | 0.132620 | − | 0.494945i | ||||
\(523\) | −18.9325 | + | 2.99862i | −0.827862 | + | 0.131120i | −0.555965 | − | 0.831206i | \(-0.687651\pi\) |
−0.271897 | + | 0.962326i | \(0.587651\pi\) | |||||||
\(524\) | −2.38120 | + | 11.2026i | −0.104023 | + | 0.489390i | ||||
\(525\) | 4.69077 | − | 12.2824i | 0.204722 | − | 0.536048i | ||||
\(526\) | 8.01423i | 0.349437i | ||||||||
\(527\) | −8.99583 | + | 7.18915i | −0.391864 | + | 0.313164i | ||||
\(528\) | −0.889946 | − | 0.889946i | −0.0387299 | − | 0.0387299i | ||||
\(529\) | 12.5880 | + | 4.09009i | 0.547305 | + | 0.177830i | ||||
\(530\) | −6.01917 | + | 3.69561i | −0.261456 | + | 0.160527i | ||||
\(531\) | 14.6018 | + | 10.6089i | 0.633666 | + | 0.460385i | ||||
\(532\) | −3.40898 | − | 0.913433i | −0.147798 | − | 0.0396023i | ||||
\(533\) | 5.49339 | + | 20.5016i | 0.237945 | + | 0.888023i | ||||
\(534\) | 4.22500 | + | 9.48951i | 0.182834 | + | 0.410651i | ||||
\(535\) | 12.2630 | − | 8.44355i | 0.530178 | − | 0.365046i | ||||
\(536\) | 0.396993 | + | 0.176753i | 0.0171475 | + | 0.00763456i | ||||
\(537\) | 1.98038 | − | 3.04952i | 0.0854597 | − | 0.131596i | ||||
\(538\) | 6.50535 | + | 8.03344i | 0.280466 | + | 0.346346i | ||||
\(539\) | 0.415309 | + | 0.461248i | 0.0178886 | + | 0.0198673i | ||||
\(540\) | 7.83241 | − | 8.26774i | 0.337053 | − | 0.355787i | ||||
\(541\) | 0.872064 | + | 8.29713i | 0.0374929 | + | 0.356722i | 0.997144 | + | 0.0755271i | \(0.0240639\pi\) |
−0.959651 | + | 0.281194i | \(0.909269\pi\) | |||||||
\(542\) | −14.1755 | + | 27.8210i | −0.608890 | + | 1.19501i | ||||
\(543\) | 1.86502 | − | 3.66031i | 0.0800356 | − | 0.157079i | ||||
\(544\) | −0.216192 | − | 2.05693i | −0.00926916 | − | 0.0881902i | ||||
\(545\) | 0.865347 | + | 32.0042i | 0.0370674 | + | 1.37091i | ||||
\(546\) | 5.51436 | + | 6.12432i | 0.235993 | + | 0.262097i | ||||
\(547\) | −0.0105575 | − | 0.0130375i | −0.000451407 | − | 0.000557441i | 0.776920 | − | 0.629599i | \(-0.216781\pi\) |
−0.777372 | + | 0.629042i | \(0.783447\pi\) | |||||||
\(548\) | −4.05165 | + | 6.23899i | −0.173078 | + | 0.266517i | ||||
\(549\) | −18.9366 | − | 8.43113i | −0.808196 | − | 0.359832i | ||||
\(550\) | −1.25751 | + | 5.96607i | −0.0536202 | + | 0.254394i | ||||
\(551\) | −3.40923 | − | 7.65726i | −0.145238 | − | 0.326210i | ||||
\(552\) | −0.834710 | − | 3.11518i | −0.0355276 | − | 0.132591i | ||||
\(553\) | −21.6412 | − | 5.79874i | −0.920277 | − | 0.246587i | ||||
\(554\) | 3.16071 | + | 2.29639i | 0.134286 | + | 0.0975642i | ||||
\(555\) | −1.62719 | − | 2.65026i | −0.0690703 | − | 0.112497i | ||||
\(556\) | −15.3510 | − | 4.98784i | −0.651027 | − | 0.211532i | ||||
\(557\) | −15.1301 | − | 15.1301i | −0.641085 | − | 0.641085i | 0.309737 | − | 0.950822i | \(-0.399759\pi\) |
−0.950822 | + | 0.309737i | \(0.899759\pi\) | |||||||
\(558\) | 10.6286 | + | 1.75372i | 0.449946 | + | 0.0742411i | ||||
\(559\) | − | 16.7415i | − | 0.708089i | ||||||
\(560\) | −1.89710 | + | 5.37179i | −0.0801671 | + | 0.226999i | ||||
\(561\) | −0.541206 | + | 2.54618i | −0.0228498 | + | 0.107500i | ||||
\(562\) | 26.6416 | − | 4.21962i | 1.12381 | − | 0.177994i | ||||
\(563\) | 6.25184 | − | 23.3322i | 0.263484 | − | 0.983334i | −0.699689 | − | 0.714448i | \(-0.746678\pi\) |
0.963172 | − | 0.268886i | \(-0.0866554\pi\) | |||||||
\(564\) | −3.37596 | + | 5.84734i | −0.142154 | + | 0.246218i | ||||
\(565\) | 10.1454 | + | 24.4342i | 0.426819 | + | 1.02795i | ||||
\(566\) | 2.48207 | − | 1.80333i | 0.104329 | − | 0.0757997i | ||||
\(567\) | 1.30260 | − | 0.500023i | 0.0547042 | − | 0.0209990i | ||||
\(568\) | 3.97006 | + | 2.57818i | 0.166580 | + | 0.108178i | ||||
\(569\) | 1.63988 | − | 15.6024i | 0.0687472 | − | 0.654086i | −0.904837 | − | 0.425758i | \(-0.860007\pi\) |
0.973584 | − | 0.228328i | \(-0.0733259\pi\) | |||||||
\(570\) | 0.248111 | − | 3.18727i | 0.0103922 | − | 0.133500i | ||||
\(571\) | −8.08201 | − | 7.27707i | −0.338221 | − | 0.304536i | 0.482464 | − | 0.875916i | \(-0.339742\pi\) |
−0.820686 | + | 0.571380i | \(0.806408\pi\) | |||||||
\(572\) | −2.97007 | − | 2.40511i | −0.124185 | − | 0.100563i | ||||
\(573\) | −9.36505 | − | 4.77173i | −0.391230 | − | 0.199342i | ||||
\(574\) | 16.4097 | − | 5.33183i | 0.684927 | − | 0.222546i | ||||
\(575\) | −10.4346 | + | 11.6286i | −0.435153 | + | 0.484945i | ||||
\(576\) | −1.29461 | + | 1.43782i | −0.0539423 | + | 0.0599090i | ||||
\(577\) | −4.86351 | − | 0.254886i | −0.202471 | − | 0.0106110i | −0.0491690 | − | 0.998790i | \(-0.515657\pi\) |
−0.153302 | + | 0.988179i | \(0.548991\pi\) | |||||||
\(578\) | 9.88708 | − | 8.00640i | 0.411248 | − | 0.333022i | ||||
\(579\) | −26.0321 | + | 5.53329i | −1.08186 | + | 0.229956i | ||||
\(580\) | −12.7503 | + | 4.52734i | −0.529426 | + | 0.187988i | ||||
\(581\) | 2.31663 | + | 3.18857i | 0.0961101 | + | 0.132284i | ||||
\(582\) | 16.1456 | + | 6.19771i | 0.669256 | + | 0.256903i | ||||
\(583\) | −3.72061 | + | 0.996933i | −0.154092 | + | 0.0412888i | ||||
\(584\) | −6.76627 | − | 11.7195i | −0.279990 | − | 0.484957i | ||||
\(585\) | 8.24490 | − | 10.7639i | 0.340885 | − | 0.445034i | ||||
\(586\) | 19.7921 | + | 4.20694i | 0.817604 | + | 0.173787i | ||||
\(587\) | 37.3462 | − | 19.0289i | 1.54144 | − | 0.785405i | 0.542923 | − | 0.839782i | \(-0.317317\pi\) |
0.998520 | + | 0.0543775i | \(0.0173174\pi\) | |||||||
\(588\) | −0.371458 | + | 0.371458i | −0.0153187 | + | 0.0153187i | ||||
\(589\) | 6.70409 | − | 3.81319i | 0.276237 | − | 0.157120i | ||||
\(590\) | 0.528272 | − | 20.8529i | 0.0217486 | − | 0.858499i | ||||
\(591\) | 0.957847 | − | 2.94795i | 0.0394006 | − | 0.121262i | ||||
\(592\) | 0.733925 | + | 1.13015i | 0.0301641 | + | 0.0464487i | ||||
\(593\) | −6.27303 | − | 39.6063i | −0.257602 | − | 1.62644i | −0.689340 | − | 0.724438i | \(-0.742100\pi\) |
0.431738 | − | 0.901999i | \(-0.357900\pi\) | |||||||
\(594\) | 5.37869 | − | 3.10539i | 0.220690 | − | 0.127416i | ||||
\(595\) | 11.4548 | − | 2.76039i | 0.469603 | − | 0.113165i | ||||
\(596\) | 0.739229 | − | 0.329126i | 0.0302800 | − | 0.0134815i | ||||
\(597\) | 4.26657 | − | 26.9381i | 0.174619 | − | 1.10250i | ||||
\(598\) | −3.50957 | − | 9.14274i | −0.143517 | − | 0.373874i | ||||
\(599\) | −4.93441 | − | 23.2146i | −0.201615 | − | 0.948522i | −0.956289 | − | 0.292423i | \(-0.905539\pi\) |
0.754674 | − | 0.656099i | \(-0.227795\pi\) | |||||||
\(600\) | −5.09833 | − | 0.798593i | −0.208138 | − | 0.0326024i | ||||
\(601\) | −21.9557 | + | 19.7690i | −0.895592 | + | 0.806394i | −0.981807 | − | 0.189882i | \(-0.939189\pi\) |
0.0862151 | + | 0.996277i | \(0.472523\pi\) | |||||||
\(602\) | −13.5909 | + | 0.712269i | −0.553924 | + | 0.0290299i | ||||
\(603\) | −0.529120 | + | 0.653409i | −0.0215474 | + | 0.0266089i | ||||
\(604\) | −1.90525 | − | 5.86375i | −0.0775234 | − | 0.238592i | ||||
\(605\) | 10.1340 | − | 18.7026i | 0.412007 | − | 0.760367i | ||||
\(606\) | −11.9605 | + | 1.25710i | −0.485862 | + | 0.0510662i | ||||
\(607\) | −1.18317 | − | 22.5763i | −0.0480235 | − | 0.916343i | −0.911333 | − | 0.411669i | \(-0.864946\pi\) |
0.863310 | − | 0.504674i | \(-0.168387\pi\) | |||||||
\(608\) | −0.0724977 | + | 1.38334i | −0.00294017 | + | 0.0561018i | ||||
\(609\) | 15.8238 | + | 1.66315i | 0.641214 | + | 0.0673943i | ||||
\(610\) | 4.38584 | + | 23.5519i | 0.177578 | + | 0.953588i | ||||
\(611\) | −8.33923 | + | 18.7302i | −0.337369 | + | 0.757744i | ||||
\(612\) | 3.95234 | + | 0.625990i | 0.159764 | + | 0.0253041i | ||||
\(613\) | 11.9048 | − | 31.0131i | 0.480832 | − | 1.25261i | −0.451910 | − | 0.892064i | \(-0.649257\pi\) |
0.932742 | − | 0.360546i | \(-0.117409\pi\) | |||||||
\(614\) | −22.2010 | − | 12.8178i | −0.895960 | − | 0.517283i | ||||
\(615\) | 7.46943 | + | 13.7291i | 0.301197 | + | 0.553610i | ||||
\(616\) | −1.82613 | + | 2.51346i | −0.0735770 | + | 0.101270i | ||||
\(617\) | −27.8481 | + | 18.0848i | −1.12112 | + | 0.728065i | −0.965668 | − | 0.259778i | \(-0.916351\pi\) |
−0.155453 | + | 0.987843i | \(0.549684\pi\) | |||||||
\(618\) | −6.56320 | − | 12.8810i | −0.264011 | − | 0.518150i | ||||
\(619\) | −2.83899 | −0.114109 | −0.0570543 | − | 0.998371i | \(-0.518171\pi\) | ||||
−0.0570543 | + | 0.998371i | \(0.518171\pi\) | |||||||
\(620\) | −5.29687 | − | 11.2669i | −0.212727 | − | 0.452490i | ||||
\(621\) | 15.9150 | 0.638647 | ||||||||
\(622\) | −3.88767 | − | 7.62998i | −0.155881 | − | 0.305934i | ||||
\(623\) | 21.5050 | − | 13.9655i | 0.861581 | − | 0.559517i | ||||
\(624\) | 1.90128 | − | 2.61689i | 0.0761122 | − | 0.104759i | ||||
\(625\) | 10.2462 | + | 22.8038i | 0.409848 | + | 0.912154i | ||||
\(626\) | 1.48560 | + | 0.857714i | 0.0593767 | + | 0.0342812i | ||||
\(627\) | 0.624787 | − | 1.62763i | 0.0249516 | − | 0.0650011i | ||||
\(628\) | 10.9763 | + | 1.73847i | 0.438001 | + | 0.0693725i | ||||
\(629\) | 1.13360 | − | 2.54612i | 0.0451998 | − | 0.101520i | ||||
\(630\) | −9.08905 | − | 6.23534i | −0.362117 | − | 0.248422i | ||||
\(631\) | −3.69692 | − | 0.388562i | −0.147172 | − | 0.0154684i | 0.0306558 | − | 0.999530i | \(-0.490240\pi\) |
−0.177828 | + | 0.984062i | \(0.556907\pi\) | |||||||
\(632\) | −0.460236 | + | 8.78184i | −0.0183072 | + | 0.349323i | ||||
\(633\) | −0.418049 | − | 7.97685i | −0.0166159 | − | 0.317051i | ||||
\(634\) | 9.40506 | − | 0.988512i | 0.373523 | − | 0.0392588i | ||||
\(635\) | −23.2948 | + | 6.92183i | −0.924426 | + | 0.274685i | ||||
\(636\) | −1.00743 | − | 3.10056i | −0.0399473 | − | 0.122945i | ||||
\(637\) | −1.00388 | + | 1.23969i | −0.0397752 | + | 0.0491182i | ||||
\(638\) | −7.36853 | + | 0.386168i | −0.291723 | + | 0.0152886i | ||||
\(639\) | −6.80625 | + | 6.12838i | −0.269251 | + | 0.242435i | ||||
\(640\) | 2.21719 | + | 0.289976i | 0.0876420 | + | 0.0114623i | ||||
\(641\) | −7.85970 | − | 36.9770i | −0.310440 | − | 1.46050i | −0.805992 | − | 0.591926i | \(-0.798368\pi\) |
0.495553 | − | 0.868578i | \(-0.334966\pi\) | |||||||
\(642\) | 2.46277 | + | 6.41575i | 0.0971980 | + | 0.253209i | ||||
\(643\) | 7.00311 | − | 44.2159i | 0.276176 | − | 1.74371i | −0.326026 | − | 0.945361i | \(-0.605710\pi\) |
0.602201 | − | 0.798344i | \(-0.294290\pi\) | |||||||
\(644\) | −7.27285 | + | 3.23808i | −0.286590 | + | 0.127598i | ||||
\(645\) | −2.88814 | − | 11.9850i | −0.113720 | − | 0.471907i | ||||
\(646\) | 2.48119 | − | 1.43251i | 0.0976210 | − | 0.0563615i | ||||
\(647\) | −6.45794 | − | 40.7738i | −0.253888 | − | 1.60299i | −0.704125 | − | 0.710076i | \(-0.748661\pi\) |
0.450237 | − | 0.892909i | \(-0.351339\pi\) | |||||||
\(648\) | −0.298272 | − | 0.459299i | −0.0117172 | − | 0.0180430i | ||||
\(649\) | 3.51528 | − | 10.8189i | 0.137987 | − | 0.424680i | ||||
\(650\) | −15.6502 | − | 0.793450i | −0.613850 | − | 0.0311217i | ||||
\(651\) | −0.0943859 | + | 14.6403i | −0.00369927 | + | 0.573798i | ||||
\(652\) | −14.6173 | + | 14.6173i | −0.572456 | + | 0.572456i | ||||
\(653\) | 33.1037 | − | 16.8672i | 1.29545 | − | 0.660063i | 0.335975 | − | 0.941871i | \(-0.390934\pi\) |
0.959471 | + | 0.281808i | \(0.0909341\pi\) | |||||||
\(654\) | −14.4546 | − | 3.07242i | −0.565220 | − | 0.120141i | ||||
\(655\) | 3.36434 | + | 25.3876i | 0.131456 | + | 0.991974i | ||||
\(656\) | −3.38616 | − | 5.86500i | −0.132207 | − | 0.228990i | ||||
\(657\) | 25.2902 | − | 6.77649i | 0.986665 | − | 0.264376i | ||||
\(658\) | 15.5602 | + | 5.97299i | 0.606599 | + | 0.232851i | ||||
\(659\) | 1.99850 | + | 2.75071i | 0.0778507 | + | 0.107152i | 0.846166 | − | 0.532919i | \(-0.178905\pi\) |
−0.768316 | + | 0.640071i | \(0.778905\pi\) | |||||||
\(660\) | −2.54114 | − | 1.20940i | −0.0989137 | − | 0.0470760i | ||||
\(661\) | 1.54948 | − | 0.329351i | 0.0602676 | − | 0.0128103i | −0.177679 | − | 0.984088i | \(-0.556859\pi\) |
0.237947 | + | 0.971278i | \(0.423526\pi\) | |||||||
\(662\) | −15.6941 | + | 12.7088i | −0.609969 | + | 0.493943i | ||||
\(663\) | −6.68094 | − | 0.350133i | −0.259466 | − | 0.0135980i | ||||
\(664\) | 1.03513 | − | 1.14962i | 0.0401707 | − | 0.0446140i | ||||
\(665\) | −7.86675 | + | 0.625871i | −0.305059 | + | 0.0242702i | ||||
\(666\) | −2.47959 | + | 0.805666i | −0.0960820 | + | 0.0312189i | ||||
\(667\) | −16.8468 | − | 8.58389i | −0.652312 | − | 0.332370i | ||||
\(668\) | −3.16526 | − | 2.56318i | −0.122467 | − | 0.0991722i | ||||
\(669\) | 15.3217 | + | 13.7957i | 0.592372 | + | 0.533374i | ||||
\(670\) | 0.968782 | + | 0.0754143i | 0.0374273 | + | 0.00291351i | ||||
\(671\) | −1.36564 | + | 12.9932i | −0.0527198 | + | 0.501595i | ||||
\(672\) | −2.20531 | − | 1.43214i | −0.0850716 | − | 0.0552461i | ||||
\(673\) | −13.0499 | + | 5.00940i | −0.503038 | + | 0.193098i | −0.596636 | − | 0.802512i | \(-0.703496\pi\) |
0.0935982 | + | 0.995610i | \(0.470163\pi\) | |||||||
\(674\) | 12.9602 | − | 9.41614i | 0.499209 | − | 0.362696i | ||||
\(675\) | 10.3182 | − | 23.2818i | 0.397149 | − | 0.896119i | ||||
\(676\) | −1.58885 | + | 2.75197i | −0.0611097 | + | 0.105845i | ||||
\(677\) | −5.30399 | + | 19.7948i | −0.203849 | + | 0.760775i | 0.785948 | + | 0.618292i | \(0.212175\pi\) |
−0.989797 | + | 0.142483i | \(0.954492\pi\) | |||||||
\(678\) | −12.0613 | + | 1.91032i | −0.463210 | + | 0.0733652i | ||||
\(679\) | 8.87597 | − | 41.7582i | 0.340629 | − | 1.60253i | ||||
\(680\) | −1.99457 | − | 4.17255i | −0.0764883 | − | 0.160010i | ||||
\(681\) | 12.4740i | 0.478006i | ||||||||
\(682\) | −1.01886 | − | 6.71262i | −0.0390141 | − | 0.257040i | ||||
\(683\) | −12.0755 | − | 12.0755i | −0.462058 | − | 0.462058i | 0.437272 | − | 0.899329i | \(-0.355945\pi\) |
−0.899329 | + | 0.437272i | \(0.855945\pi\) | |||||||
\(684\) | −2.54894 | − | 0.828201i | −0.0974612 | − | 0.0316671i | ||||
\(685\) | −3.86945 | + | 16.1781i | −0.147844 | + | 0.618135i | ||||
\(686\) | 15.4773 | + | 11.2449i | 0.590926 | + | 0.429333i | ||||
\(687\) | −9.49077 | − | 2.54304i | −0.362095 | − | 0.0970232i | ||||
\(688\) | 1.38256 | + | 5.15978i | 0.0527096 | + | 0.196715i | ||||
\(689\) | −4.02654 | − | 9.04376i | −0.153399 | − | 0.344540i | ||||
\(690\) | −4.08969 | − | 5.93969i | −0.155692 | − | 0.226120i | ||||
\(691\) | 40.7893 | + | 18.1606i | 1.55170 | + | 0.690860i | 0.990587 | − | 0.136881i | \(-0.0437079\pi\) |
0.561110 | + | 0.827741i | \(0.310375\pi\) | |||||||
\(692\) | −8.34270 | + | 12.8466i | −0.317142 | + | 0.488356i | ||||
\(693\) | −3.78281 | − | 4.67139i | −0.143697 | − | 0.177451i | ||||
\(694\) | −16.2809 | − | 18.0818i | −0.618016 | − | 0.686377i | ||||
\(695\) | −36.0792 | + | 0.975529i | −1.36856 | + | 0.0370039i | ||||
\(696\) | −0.652793 | − | 6.21091i | −0.0247440 | − | 0.235424i | ||||
\(697\) | −6.35901 | + | 12.4803i | −0.240865 | + | 0.472723i | ||||
\(698\) | 12.7532 | − | 25.0295i | 0.482714 | − | 0.947381i | ||||
\(699\) | 0.288287 | + | 2.74287i | 0.0109040 | + | 0.103745i | ||||
\(700\) | 0.0217082 | + | 12.7387i | 0.000820491 | + | 0.481478i | ||||
\(701\) | 18.4309 | + | 20.4696i | 0.696127 | + | 0.773127i | 0.982755 | − | 0.184915i | \(-0.0592009\pi\) |
−0.286628 | + | 0.958042i | \(0.592534\pi\) | |||||||
\(702\) | 10.0454 | + | 12.4050i | 0.379139 | + | 0.468197i | ||||
\(703\) | −1.01666 | + | 1.56552i | −0.0383441 | + | 0.0590447i | ||||
\(704\) | 1.11401 | + | 0.495987i | 0.0419857 | + | 0.0186932i | ||||
\(705\) | −2.73870 | + | 14.8473i | −0.103145 | + | 0.559182i | ||||
\(706\) | 12.1503 | + | 27.2899i | 0.457281 | + | 1.02707i | ||||
\(707\) | 7.68363 | + | 28.6757i | 0.288973 | + | 1.07846i | ||||
\(708\) | 9.30006 | + | 2.49194i | 0.349517 | + | 0.0936529i | ||||
\(709\) | −18.0602 | − | 13.1215i | −0.678265 | − | 0.492788i | 0.194517 | − | 0.980899i | \(-0.437686\pi\) |
−0.872782 | + | 0.488111i | \(0.837686\pi\) | |||||||
\(710\) | 10.2946 | + | 2.46224i | 0.386350 | + | 0.0924064i | ||||
\(711\) | −16.1814 | − | 5.25766i | −0.606851 | − | 0.197178i | ||||
\(712\) | −7.11668 | − | 7.11668i | −0.266709 | − | 0.266709i | ||||
\(713\) | 6.33946 | − | 16.2019i | 0.237415 | − | 0.606765i | ||||
\(714\) | 5.43855i | 0.203533i | ||||||||
\(715\) | −8.05798 | − | 2.84576i | −0.301351 | − | 0.106425i | ||||
\(716\) | −0.732482 | + | 3.44606i | −0.0273741 | + | 0.128785i | ||||
\(717\) | −19.8244 | + | 3.13988i | −0.740356 | + | 0.117261i | ||||
\(718\) | −7.97828 | + | 29.7754i | −0.297747 | + | 1.11121i | ||||
\(719\) | −25.1474 | + | 43.5566i | −0.937841 | + | 1.62439i | −0.168353 | + | 0.985727i | \(0.553845\pi\) |
−0.769488 | + | 0.638661i | \(0.779489\pi\) | |||||||
\(720\) | −1.65219 | + | 3.99837i | −0.0615735 | + | 0.149010i | ||||
\(721\) | −28.8710 | + | 20.9760i | −1.07521 | + | 0.781186i | ||||
\(722\) | 15.9466 | − | 6.12133i | 0.593471 | − | 0.227812i | ||||
\(723\) | −19.5241 | − | 12.6791i | −0.726109 | − | 0.471541i | ||||
\(724\) | −0.416054 | + | 3.95849i | −0.0154625 | + | 0.147116i | ||||
\(725\) | −23.4796 | + | 19.0798i | −0.872012 | + | 0.708605i | ||||
\(726\) | 7.29645 | + | 6.56976i | 0.270797 | + | 0.243827i | ||||
\(727\) | −7.73183 | − | 6.26111i | −0.286758 | − | 0.232212i | 0.475138 | − | 0.879911i | \(-0.342398\pi\) |
−0.761896 | + | 0.647699i | \(0.775731\pi\) | |||||||
\(728\) | −7.11449 | − | 3.62501i | −0.263681 | − | 0.134352i | ||||
\(729\) | −13.9904 | + | 4.54576i | −0.518164 | + | 0.168362i | ||||
\(730\) | −23.0264 | − | 19.6325i | −0.852244 | − | 0.726630i | ||||
\(731\) | 7.39271 | − | 8.21043i | 0.273429 | − | 0.303674i | ||||
\(732\) | −11.0425 | − | 0.578715i | −0.408144 | − | 0.0213899i | ||||
\(733\) | −25.9886 | + | 21.0452i | −0.959912 | + | 0.777321i | −0.974918 | − | 0.222566i | \(-0.928557\pi\) |
0.0150057 | + | 0.999887i | \(0.495223\pi\) | |||||||
\(734\) | −13.9617 | + | 2.96765i | −0.515336 | + | 0.109538i | ||||
\(735\) | −0.504798 | + | 1.06066i | −0.0186198 | + | 0.0391229i | ||||
\(736\) | 1.83669 | + | 2.52799i | 0.0677014 | + | 0.0931830i | ||||
\(737\) | 0.494723 | + | 0.189906i | 0.0182234 | + | 0.00699529i | ||||
\(738\) | 12.6564 | − | 3.39128i | 0.465889 | − | 0.124835i | ||||
\(739\) | −9.95000 | − | 17.2339i | −0.366017 | − | 0.633959i | 0.622922 | − | 0.782284i | \(-0.285945\pi\) |
−0.988939 | + | 0.148324i | \(0.952612\pi\) | |||||||
\(740\) | 2.39210 | + | 1.83228i | 0.0879352 | + | 0.0673561i | ||||
\(741\) | 4.38285 | + | 0.931603i | 0.161008 | + | 0.0342233i | ||||
\(742\) | −7.17051 | + | 3.65356i | −0.263238 | + | 0.134126i | ||||
\(743\) | 10.5280 | − | 10.5280i | 0.386234 | − | 0.386234i | −0.487108 | − | 0.873342i | \(-0.661948\pi\) |
0.873342 | + | 0.487108i | \(0.161948\pi\) | |||||||
\(744\) | 5.62850 | − | 1.15850i | 0.206351 | − | 0.0424727i | ||||
\(745\) | 1.31143 | − | 1.24662i | 0.0480470 | − | 0.0456728i | ||||
\(746\) | −5.84345 | + | 17.9843i | −0.213944 | + | 0.658452i | ||||
\(747\) | 1.63012 | + | 2.51017i | 0.0596431 | + | 0.0918423i | ||||
\(748\) | −0.394544 | − | 2.49105i | −0.0144259 | − | 0.0910818i | ||||
\(749\) | 14.6913 | − | 8.48204i | 0.536809 | − | 0.309927i | ||||
\(750\) | −11.3406 | + | 2.13185i | −0.414100 | + | 0.0778442i | ||||
\(751\) | 7.18488 | − | 3.19892i | 0.262180 | − | 0.116730i | −0.271437 | − | 0.962456i | \(-0.587499\pi\) |
0.533617 | + | 0.845726i | \(0.320832\pi\) | |||||||
\(752\) | 1.02338 | − | 6.46140i | 0.0373190 | − | 0.235623i | ||||
\(753\) | 0.278838 | + | 0.726398i | 0.0101614 | + | 0.0264714i | ||||
\(754\) | −3.94280 | − | 18.5494i | −0.143588 | − | 0.675530i | ||||
\(755\) | −8.40200 | − | 10.9304i | −0.305780 | − | 0.397798i | ||||
\(756\) | 9.64314 | − | 8.68272i | 0.350717 | − | 0.315787i | ||||
\(757\) | −21.8795 | + | 1.14665i | −0.795222 | + | 0.0416758i | −0.445620 | − | 0.895222i | \(-0.647017\pi\) |
−0.349602 | + | 0.936898i | \(0.613683\pi\) | |||||||
\(758\) | 0.391997 | − | 0.484076i | 0.0142380 | − | 0.0175824i | ||||
\(759\) | −1.21529 | − | 3.74027i | −0.0441122 | − | 0.135763i | ||||
\(760\) | 0.882263 | + | 2.96918i | 0.0320030 | + | 0.107703i | ||||
\(761\) | −24.7642 | + | 2.60282i | −0.897701 | + | 0.0943522i | −0.542128 | − | 0.840296i | \(-0.682381\pi\) |
−0.355574 | + | 0.934648i | \(0.615714\pi\) | |||||||
\(762\) | −0.587041 | − | 11.2014i | −0.0212663 | − | 0.405784i | ||||
\(763\) | −1.90914 | + | 36.4285i | −0.0691153 | + | 1.31880i | ||||
\(764\) | 10.1280 | + | 1.06449i | 0.366417 | + | 0.0385119i | ||||
\(765\) | 8.79665 | − | 1.63812i | 0.318043 | − | 0.0592262i | ||||
\(766\) | 12.6842 | − | 28.4891i | 0.458298 | − | 1.02935i | ||||
\(767\) | 28.8766 | + | 4.57361i | 1.04268 | + | 0.165144i | ||||
\(768\) | −0.369871 | + | 0.963548i | −0.0133466 | + | 0.0347690i | ||||
\(769\) | 20.2945 | + | 11.7170i | 0.731838 | + | 0.422527i | 0.819094 | − | 0.573659i | \(-0.194477\pi\) |
−0.0872565 | + | 0.996186i | \(0.527810\pi\) | |||||||
\(770\) | −1.96738 | + | 6.66262i | −0.0708996 | + | 0.240104i | ||||
\(771\) | 4.70126 | − | 6.47073i | 0.169312 | − | 0.233038i | ||||
\(772\) | 21.6259 | − | 14.0440i | 0.778334 | − | 0.505456i | ||||
\(773\) | 13.5725 | + | 26.6375i | 0.488169 | + | 0.958085i | 0.995357 | + | 0.0962499i | \(0.0306848\pi\) |
−0.507189 | + | 0.861835i | \(0.669315\pi\) | |||||||
\(774\) | −10.3352 | −0.371489 | ||||||||
\(775\) | −19.5914 | − | 19.7782i | −0.703745 | − | 0.710452i | ||||
\(776\) | −16.7564 | −0.601520 | ||||||||
\(777\) | −1.60867 | − | 3.15720i | −0.0577108 | − | 0.113264i | ||||
\(778\) | 29.7197 | − | 19.3002i | 1.06550 | − | 0.691945i | ||||
\(779\) | 5.51417 | − | 7.58960i | 0.197566 | − | 0.271926i | ||||
\(780\) | 2.04835 | − | 6.93680i | 0.0733426 | − | 0.248377i | ||||
\(781\) | 4.99912 | + | 2.88624i | 0.178882 | + | 0.103278i | ||||
\(782\) | 2.31607 | − | 6.03358i | 0.0828226 | − | 0.215760i | ||||
\(783\) | 30.4388 | + | 4.82103i | 1.08779 | + | 0.172290i | ||||
\(784\) | 0.207022 | − | 0.464979i | 0.00739365 | − | 0.0166064i | ||||
\(785\) | 24.4296 | − | 4.54930i | 0.871931 | − | 0.162371i | ||||
\(786\) | −11.7558 | − | 1.23558i | −0.419315 | − | 0.0440718i | ||||
\(787\) | 2.48709 | − | 47.4564i | 0.0886551 | − | 1.69164i | −0.486568 | − | 0.873643i | \(-0.661751\pi\) |
0.575223 | − | 0.817997i | \(-0.304915\pi\) | |||||||
\(788\) | 0.157178 | + | 2.99914i | 0.00559925 | + | 0.106840i | ||||
\(789\) | −8.22617 | + | 0.864606i | −0.292859 | + | 0.0307808i | ||||
\(790\) | 5.60086 | + | 18.8492i | 0.199270 | + | 0.670625i | ||||
\(791\) | 9.31515 | + | 28.6691i | 0.331209 | + | 1.01936i | ||||
\(792\) | −1.48477 | + | 1.83354i | −0.0527589 | + | 0.0651519i | ||||
\(793\) | −33.5316 | + | 1.75732i | −1.19074 | + | 0.0624041i | ||||
\(794\) | −5.25631 | + | 4.73280i | −0.186539 | + | 0.167961i | ||||
\(795\) | −4.44271 | − | 5.77965i | −0.157567 | − | 0.204983i | ||||
\(796\) | 5.49419 | + | 25.8481i | 0.194737 | + | 0.916163i | ||||
\(797\) | −3.80228 | − | 9.90528i | −0.134684 | − | 0.350863i | 0.849608 | − | 0.527415i | \(-0.176839\pi\) |
−0.984291 | + | 0.176552i | \(0.943506\pi\) | |||||||
\(798\) | 0.569815 | − | 3.59767i | 0.0201712 | − | 0.127356i | ||||
\(799\) | −12.3607 | + | 5.50332i | −0.437289 | + | 0.194694i | ||||
\(800\) | 4.88896 | − | 1.04789i | 0.172851 | − | 0.0370486i | ||||
\(801\) | 16.8637 | − | 9.73625i | 0.595849 | − | 0.344014i | ||||
\(802\) | 2.98364 | + | 18.8380i | 0.105356 | + | 0.665192i | ||||
\(803\) | −8.98763 | − | 13.8397i | −0.317167 | − | 0.488394i | ||||
\(804\) | −0.138598 | + | 0.426561i | −0.00488797 | + | 0.0150436i | ||||
\(805\) | −12.9024 | + | 12.2648i | −0.454750 | + | 0.432278i | ||||
\(806\) | 16.6300 | − | 5.28514i | 0.585768 | − | 0.186161i | ||||
\(807\) | −7.54407 | + | 7.54407i | −0.265564 | + | 0.265564i | ||||
\(808\) | 10.3823 | − | 5.29006i | 0.365249 | − | 0.186104i | ||||
\(809\) | −7.00045 | − | 1.48799i | −0.246123 | − | 0.0523150i | 0.0831984 | − | 0.996533i | \(-0.473486\pi\) |
−0.329321 | + | 0.944218i | \(0.606820\pi\) | |||||||
\(810\) | −0.972164 | − | 0.744652i | −0.0341584 | − | 0.0261644i | ||||
\(811\) | −2.28000 | − | 3.94907i | −0.0800616 | − | 0.138671i | 0.823215 | − | 0.567730i | \(-0.192178\pi\) |
−0.903276 | + | 0.429060i | \(0.858845\pi\) | |||||||
\(812\) | −14.8908 | + | 3.98999i | −0.522566 | + | 0.140021i | ||||
\(813\) | −30.0860 | − | 11.5489i | −1.05516 | − | 0.405039i | ||||
\(814\) | 0.965871 | + | 1.32941i | 0.0338538 | + | 0.0465957i | ||||
\(815\) | −19.8643 | + | 41.7379i | −0.695817 | + | 1.46201i | ||||
\(816\) | 2.08800 | − | 0.443819i | 0.0730947 | − | 0.0155368i | ||||
\(817\) | −5.75061 | + | 4.65675i | −0.201188 | + | 0.162919i | ||||
\(818\) | 27.5816 | + | 1.44549i | 0.964367 | + | 0.0505403i | ||||
\(819\) | 10.3372 | − | 11.4806i | 0.361211 | − | 0.401166i | ||||
\(820\) | −11.5235 | − | 9.82502i | −0.402417 | − | 0.343104i | ||||
\(821\) | 45.2310 | − | 14.6965i | 1.57857 | − | 0.512910i | 0.616885 | − | 0.787053i | \(-0.288394\pi\) |
0.961689 | + | 0.274144i | \(0.0883944\pi\) | |||||||
\(822\) | −6.84109 | − | 3.48571i | −0.238611 | − | 0.121578i | ||||
\(823\) | 2.65415 | + | 2.14929i | 0.0925178 | + | 0.0749194i | 0.674463 | − | 0.738308i | \(-0.264375\pi\) |
−0.581946 | + | 0.813228i | \(0.697708\pi\) | |||||||
\(824\) | 10.4093 | + | 9.37256i | 0.362624 | + | 0.326508i | ||||
\(825\) | −6.25951 | − | 0.647118i | −0.217928 | − | 0.0225298i | ||||
\(826\) | 2.48434 | − | 23.6369i | 0.0864413 | − | 0.822434i | ||||
\(827\) | −11.9959 | − | 7.79020i | −0.417137 | − | 0.270892i | 0.318960 | − | 0.947768i | \(-0.396666\pi\) |
−0.736097 | + | 0.676876i | \(0.763333\pi\) | |||||||
\(828\) | −5.64416 | + | 2.16659i | −0.196148 | + | 0.0752942i | ||||
\(829\) | 26.9213 | − | 19.5595i | 0.935015 | − | 0.679328i | −0.0122007 | − | 0.999926i | \(-0.503884\pi\) |
0.947216 | + | 0.320598i | \(0.103884\pi\) | |||||||
\(830\) | 1.32103 | − | 3.19695i | 0.0458536 | − | 0.110968i | ||||
\(831\) | −2.01613 | + | 3.49204i | −0.0699387 | + | 0.121137i | ||||
\(832\) | −0.811153 | + | 3.02726i | −0.0281217 | + | 0.104951i | ||||
\(833\) | −1.03975 | + | 0.164680i | −0.0360252 | + | 0.00570583i | ||||
\(834\) | 3.46362 | − | 16.2951i | 0.119935 | − | 0.564252i | ||||
\(835\) | −8.58754 | − | 3.03278i | −0.297184 | − | 0.104954i | ||||
\(836\) | 1.68920i | 0.0584222i | ||||||||
\(837\) | −1.66666 | + | 28.3086i | −0.0576081 | + | 0.978487i | ||||
\(838\) | −11.3907 | − | 11.3907i | −0.393484 | − | 0.393484i | ||||
\(839\) | 25.8755 | + | 8.40747i | 0.893323 | + | 0.290258i | 0.719478 | − | 0.694515i | \(-0.244381\pi\) |
0.173845 | + | 0.984773i | \(0.444381\pi\) | |||||||
\(840\) | −5.71851 | − | 1.36774i | −0.197307 | − | 0.0471916i | ||||
\(841\) | −6.15927 | − | 4.47497i | −0.212388 | − | 0.154309i | ||||
\(842\) | −4.80407 | − | 1.28725i | −0.165559 | − | 0.0443615i | ||||
\(843\) | 7.20541 | + | 26.8910i | 0.248167 | + | 0.926174i | ||||
\(844\) | 3.14788 | + | 7.07026i | 0.108355 | + | 0.243368i | ||||
\(845\) | −1.28893 | + | 6.98768i | −0.0443406 | + | 0.240383i | ||||
\(846\) | 11.5629 | + | 5.14813i | 0.397540 | + | 0.176996i | ||||
\(847\) | 13.2002 | − | 20.3266i | 0.453566 | − | 0.698430i | ||||
\(848\) | 1.98785 | + | 2.45479i | 0.0682632 | + | 0.0842980i | ||||
\(849\) | 2.11880 | + | 2.35316i | 0.0727169 | + | 0.0807603i | ||||
\(850\) | −7.32485 | − | 7.29993i | −0.251240 | − | 0.250386i | ||||
\(851\) | 0.440145 | + | 4.18770i | 0.0150880 | + | 0.143553i | ||||
\(852\) | −2.21806 | + | 4.35319i | −0.0759895 | + | 0.149138i | ||||
\(853\) | 0.385245 | − | 0.756087i | 0.0131906 | − | 0.0258879i | −0.884317 | − | 0.466887i | \(-0.845376\pi\) |
0.897508 | + | 0.440999i | \(0.145376\pi\) | |||||||
\(854\) | 2.85321 | + | 27.1465i | 0.0976349 | + | 0.928934i | ||||
\(855\) | −5.99073 | + | 0.161981i | −0.204879 | + | 0.00553963i | ||||
\(856\) | −4.45538 | − | 4.94820i | −0.152282 | − | 0.169126i | ||||
\(857\) | −14.5032 | − | 17.9099i | −0.495419 | − | 0.611792i | 0.466702 | − | 0.884415i | \(-0.345442\pi\) |
−0.962121 | + | 0.272623i | \(0.912109\pi\) | |||||||
\(858\) | 2.14830 | − | 3.30809i | 0.0733416 | − | 0.112936i | ||||
\(859\) | 23.5360 | + | 10.4789i | 0.803039 | + | 0.357536i | 0.766864 | − | 0.641809i | \(-0.221816\pi\) |
0.0361750 | + | 0.999345i | \(0.488483\pi\) | |||||||
\(860\) | 6.77389 | + | 9.83811i | 0.230988 | + | 0.335477i | ||||
\(861\) | 7.24317 | + | 16.2684i | 0.246847 | + | 0.554426i | ||||
\(862\) | 6.89136 | + | 25.7189i | 0.234721 | + | 0.875989i | ||||
\(863\) | 31.3210 | + | 8.39245i | 1.06618 | + | 0.285682i | 0.748923 | − | 0.662657i | \(-0.230571\pi\) |
0.317258 | + | 0.948339i | \(0.397238\pi\) | |||||||
\(864\) | −4.12046 | − | 2.99369i | −0.140181 | − | 0.101847i | ||||
\(865\) | −7.96753 | + | 33.3122i | −0.270904 | + | 1.13265i | ||||
\(866\) | −32.9665 | − | 10.7115i | −1.12025 | − | 0.363990i | ||||
\(867\) | 9.28479 | + | 9.28479i | 0.315328 | + | 0.315328i | ||||
\(868\) | −4.99806 | − | 13.2756i | −0.169645 | − | 0.450602i | ||||
\(869\) | 10.7235i | 0.363771i | ||||||||
\(870\) | −6.02261 | − | 12.5990i | −0.204186 | − | 0.427147i | ||||
\(871\) | −0.283164 | + | 1.33218i | −0.00959465 | + | 0.0451393i | ||||
\(872\) | 14.1416 | − | 2.23982i | 0.478897 | − | 0.0758498i | ||||
\(873\) | 8.39086 | − | 31.3151i | 0.283988 | − | 1.05986i | ||||
\(874\) | −2.16427 | + | 3.74863i | −0.0732076 | + | 0.126799i | ||||
\(875\) | 9.57699 | + | 26.8265i | 0.323761 | + | 0.906900i | ||||
\(876\) | 11.2995 | − | 8.20955i | 0.381774 | − | 0.277375i | ||||
\(877\) | 5.62388 | − | 2.15880i | 0.189905 | − | 0.0728977i | −0.261557 | − | 0.965188i | \(-0.584236\pi\) |
0.451462 | + | 0.892290i | \(0.350903\pi\) | |||||||
\(878\) | 12.2132 | + | 7.93132i | 0.412174 | + | 0.267669i | ||||
\(879\) | −2.18295 | + | 20.7694i | −0.0736290 | + | 0.700533i | ||||
\(880\) | 2.71851 | + | 0.211621i | 0.0916409 | + | 0.00713373i | ||||
\(881\) | 2.88662 | + | 2.59912i | 0.0972527 | + | 0.0875667i | 0.716323 | − | 0.697769i | \(-0.245824\pi\) |
−0.619070 | + | 0.785336i | \(0.712490\pi\) | |||||||
\(882\) | 0.765307 | + | 0.619733i | 0.0257692 | + | 0.0208675i | ||||
\(883\) | 24.7297 | + | 12.6004i | 0.832222 | + | 0.424038i | 0.817553 | − | 0.575854i | \(-0.195330\pi\) |
0.0146697 | + | 0.999892i | \(0.495330\pi\) | |||||||
\(884\) | 6.16479 | − | 2.00306i | 0.207344 | − | 0.0673702i | ||||
\(885\) | 21.4613 | − | 1.70744i | 0.721415 | − | 0.0573951i | ||||
\(886\) | 13.0579 | − | 14.5023i | 0.438688 | − | 0.487213i | ||||
\(887\) | 52.4005 | + | 2.74619i | 1.75944 | + | 0.0922082i | 0.904487 | − | 0.426502i | \(-0.140254\pi\) |
0.854950 | + | 0.518710i | \(0.173588\pi\) | |||||||
\(888\) | −1.08085 | + | 0.875259i | −0.0362711 | + | 0.0293718i | ||||
\(889\) | −27.0837 | + | 5.75681i | −0.908358 | + | 0.193077i | ||||
\(890\) | −20.3209 | − | 9.67130i | −0.681156 | − | 0.324183i | ||||
\(891\) | −0.392537 | − | 0.540280i | −0.0131505 | − | 0.0181001i | ||||
\(892\) | −18.6494 | − | 7.15883i | −0.624428 | − | 0.239695i | ||||
\(893\) | 8.75334 | − | 2.34545i | 0.292920 | − | 0.0784875i | ||||
\(894\) | 0.417581 | + | 0.723271i | 0.0139660 | + | 0.0241898i | ||||
\(895\) | 1.03491 | + | 7.80949i | 0.0345932 | + | 0.261043i | ||||
\(896\) | 2.49207 | + | 0.529706i | 0.0832543 | + | 0.0176963i | ||||
\(897\) | 9.00590 | − | 4.58873i | 0.300698 | − | 0.153213i | ||||
\(898\) | 11.1462 | − | 11.1462i | 0.371955 | − | 0.371955i | ||||
\(899\) | 17.0327 | − | 29.0671i | 0.568073 | − | 0.969443i | ||||
\(900\) | −0.489827 | + | 9.66145i | −0.0163276 | + | 0.322048i | ||||
\(901\) | 2.01883 | − | 6.21332i | 0.0672570 | − | 0.206996i | ||||
\(902\) | −4.49784 | − | 6.92606i | −0.149762 | − | 0.230613i | ||||
\(903\) | −2.19734 | − | 13.8735i | −0.0731230 | − | 0.461680i | ||||
\(904\) | 10.2466 | − | 5.91590i | 0.340798 | − | 0.196760i | ||||
\(905\) | 2.08508 | + | 8.65252i | 0.0693106 | + | 0.287619i | ||||
\(906\) | 5.81327 | − | 2.58823i | 0.193133 | − | 0.0859883i | ||||
\(907\) | −0.964823 | + | 6.09165i | −0.0320364 | + | 0.202270i | −0.998515 | − | 0.0544772i | \(-0.982651\pi\) |
0.966479 | + | 0.256747i | \(0.0826508\pi\) | |||||||
\(908\) | −4.33126 | − | 11.2833i | −0.143738 | − | 0.374450i | ||||
\(909\) | 4.68729 | + | 22.0520i | 0.155468 | + | 0.731418i | ||||
\(910\) | −17.7037 | − | 2.31540i | −0.586873 | − | 0.0767547i | ||||
\(911\) | −38.8148 | + | 34.9490i | −1.28599 | + | 1.15791i | −0.307517 | + | 0.951543i | \(0.599498\pi\) |
−0.978474 | + | 0.206369i | \(0.933835\pi\) | |||||||
\(912\) | −1.42774 | + | 0.0748248i | −0.0472773 | + | 0.00247770i | ||||
\(913\) | 1.18717 | − | 1.46603i | 0.0392894 | − | 0.0485184i | ||||
\(914\) | −3.24865 | − | 9.99831i | −0.107456 | − | 0.330715i | ||||
\(915\) | −23.7016 | + | 7.04269i | −0.783549 | + | 0.232824i | ||||
\(916\) | 9.46783 | − | 0.995109i | 0.312826 | − | 0.0328793i | ||||
\(917\) | 1.52712 | + | 29.1392i | 0.0504299 | + | 0.962260i | ||||
\(918\) | −0.551307 | + | 10.5196i | −0.0181959 | + | 0.347198i | ||||
\(919\) | 33.1262 | + | 3.48171i | 1.09273 | + | 0.114851i | 0.633708 | − | 0.773572i | \(-0.281532\pi\) |
0.459026 | + | 0.888423i | \(0.348199\pi\) | |||||||
\(920\) | 5.76170 | + | 3.95268i | 0.189958 | + | 0.130316i | ||||
\(921\) | 10.7616 | − | 24.1710i | 0.354607 | − | 0.796460i | ||||
\(922\) | −22.1886 | − | 3.51433i | −0.730743 | − | 0.115738i | ||||
\(923\) | −5.31668 | + | 13.8504i | −0.175001 | + | 0.455893i | ||||
\(924\) | −2.77694 | − | 1.60326i | −0.0913545 | − | 0.0527435i | ||||
\(925\) | 6.41149 | + | 2.07115i | 0.210809 | + | 0.0680989i | ||||
\(926\) | 10.5376 | − | 14.5038i | 0.346288 | − | 0.476625i | ||||
\(927\) | −22.7284 | + | 14.7600i | −0.746497 | + | 0.484781i | ||||
\(928\) | 2.74705 | + | 5.39138i | 0.0901762 | + | 0.176981i | ||||
\(929\) | −29.2967 | −0.961193 | −0.480596 | − | 0.876942i | \(-0.659580\pi\) | ||||
−0.480596 | + | 0.876942i | \(0.659580\pi\) | |||||||
\(930\) | 10.9934 | − | 6.65246i | 0.360488 | − | 0.218143i | ||||
\(931\) | 0.705062 | 0.0231075 | ||||||||
\(932\) | −1.21315 | − | 2.38095i | −0.0397382 | − | 0.0779905i | ||||
\(933\) | 7.41235 | − | 4.81363i | 0.242669 | − | 0.157591i | ||||
\(934\) | −10.7486 | + | 14.7942i | −0.351705 | + | 0.484080i | ||||
\(935\) | −2.69520 | − | 4.95387i | −0.0881425 | − | 0.162009i | ||||
\(936\) | −5.25130 | − | 3.03184i | −0.171644 | − | 0.0990987i | ||||
\(937\) | −2.94503 | + | 7.67206i | −0.0962098 | + | 0.250635i | −0.973236 | − | 0.229807i | \(-0.926190\pi\) |
0.877026 | + | 0.480442i | \(0.159524\pi\) | |||||||
\(938\) | 1.09353 | + | 0.173198i | 0.0357049 | + | 0.00565510i | ||||
\(939\) | −0.720124 | + | 1.61743i | −0.0235004 | + | 0.0527827i | ||||
\(940\) | −2.67804 | − | 14.3810i | −0.0873479 | − | 0.469056i | ||||
\(941\) | −10.5718 | − | 1.11115i | −0.344632 | − | 0.0362223i | −0.0693687 | − | 0.997591i | \(-0.522098\pi\) |
−0.275264 | + | 0.961369i | \(0.588765\pi\) | |||||||
\(942\) | −0.600283 | + | 11.4541i | −0.0195583 | + | 0.373194i | ||||
\(943\) | −1.10753 | − | 21.1329i | −0.0360662 | − | 0.688183i | ||||
\(944\) | −9.27758 | + | 0.975113i | −0.301959 | + | 0.0317372i | ||||
\(945\) | 13.8233 | − | 25.5111i | 0.449671 | − | 0.829876i | ||||
\(946\) | 2.01292 | + | 6.19514i | 0.0654458 | + | 0.201421i | ||||
\(947\) | 21.6952 | − | 26.7913i | 0.704999 | − | 0.870602i | −0.291293 | − | 0.956634i | \(-0.594085\pi\) |
0.996292 | + | 0.0860321i | \(0.0274187\pi\) | |||||||
\(948\) | −9.06373 | + | 0.475010i | −0.294376 | + | 0.0154276i | ||||
\(949\) | 31.5180 | − | 28.3790i | 1.02312 | − | 0.921220i | ||||
\(950\) | 4.08065 | + | 5.59645i | 0.132394 | + | 0.181573i | ||||
\(951\) | 2.02931 | + | 9.54714i | 0.0658048 | + | 0.309587i | ||||
\(952\) | −1.88839 | − | 4.91941i | −0.0612029 | − | 0.159439i | ||||
\(953\) | −2.72031 | + | 17.1754i | −0.0881196 | + | 0.556365i | 0.903644 | + | 0.428284i | \(0.140882\pi\) |
−0.991764 | + | 0.128081i | \(0.959118\pi\) | |||||||
\(954\) | −5.58306 | + | 2.48574i | −0.180758 | + | 0.0804787i | ||||
\(955\) | 22.1378 | − | 5.33478i | 0.716363 | − | 0.172629i | ||||
\(956\) | 16.8418 | − | 9.72363i | 0.544704 | − | 0.314485i | ||||
\(957\) | −1.19133 | − | 7.52174i | −0.0385101 | − | 0.243143i | ||||
\(958\) | 7.72329 | + | 11.8928i | 0.249528 | + | 0.384240i | ||||
\(959\) | −5.85682 | + | 18.0254i | −0.189127 | + | 0.582072i | ||||
\(960\) | −0.0584466 | + | 2.30710i | −0.00188635 | + | 0.0744615i | ||||
\(961\) | 28.1550 | + | 12.9729i | 0.908225 | + | 0.418482i | ||||
\(962\) | −2.98631 | + | 2.98631i | −0.0962825 | + | 0.0962825i | ||||
\(963\) | 11.4785 | − | 5.84858i | 0.369889 | − | 0.188468i | ||||
\(964\) | 22.0629 | + | 4.68961i | 0.710598 | + | 0.151042i | ||||
\(965\) | 35.0617 | − | 45.7740i | 1.12868 | − | 1.47352i | ||||
\(966\) | −4.10834 | − | 7.11585i | −0.132184 | − | 0.228949i | ||||
\(967\) | −30.8614 | + | 8.26929i | −0.992436 | + | 0.265922i | −0.718273 | − | 0.695761i | \(-0.755067\pi\) |
−0.274163 | + | 0.961683i | \(0.588401\pi\) | |||||||
\(968\) | −8.88114 | − | 3.40915i | −0.285451 | − | 0.109574i | ||||
\(969\) | 1.73808 | + | 2.39226i | 0.0558351 | + | 0.0768504i | ||||
\(970\) | −35.3086 | + | 12.5373i | −1.13369 | + | 0.402549i | ||||
\(971\) | 14.9060 | − | 3.16838i | 0.478357 | − | 0.101678i | 0.0375784 | − | 0.999294i | \(-0.488036\pi\) |
0.440779 | + | 0.897616i | \(0.354702\pi\) | |||||||
\(972\) | 12.3137 | − | 9.97143i | 0.394962 | − | 0.319834i | ||||
\(973\) | −41.0668 | − | 2.15222i | −1.31654 | − | 0.0689970i | ||||
\(974\) | 7.64566 | − | 8.49136i | 0.244983 | − | 0.272081i | ||||
\(975\) | −0.873966 | − | 16.1496i | −0.0279893 | − | 0.517203i | ||||
\(976\) | 10.1894 | − | 3.31074i | 0.326155 | − | 0.105974i | ||||
\(977\) | 25.1538 | + | 12.8165i | 0.804740 | + | 0.410035i | 0.807432 | − | 0.589961i | \(-0.200857\pi\) |
−0.00269196 | + | 0.999996i | \(0.500857\pi\) | |||||||
\(978\) | −16.5808 | − | 13.4269i | −0.530195 | − | 0.429343i | ||||
\(979\) | −9.12059 | − | 8.21222i | −0.291495 | − | 0.262464i | ||||
\(980\) | 0.0883292 | − | 1.13469i | 0.00282157 | − | 0.0362463i | ||||
\(981\) | −2.89564 | + | 27.5502i | −0.0924506 | + | 0.879609i | ||||
\(982\) | 35.4789 | + | 23.0403i | 1.13218 | + | 0.735245i | ||||
\(983\) | 2.69751 | − | 1.03548i | 0.0860371 | − | 0.0330266i | −0.314969 | − | 0.949102i | \(-0.601994\pi\) |
0.401006 | + | 0.916075i | \(0.368661\pi\) | |||||||
\(984\) | 5.65479 | − | 4.10845i | 0.180268 | − | 0.130973i | ||||
\(985\) | 2.57519 | + | 6.20211i | 0.0820524 | + | 0.197616i | ||||
\(986\) | 6.25741 | − | 10.8381i | 0.199276 | − | 0.345157i | ||||
\(987\) | −4.45226 | + | 16.6161i | −0.141717 | + | 0.528895i | ||||
\(988\) | −4.28796 | + | 0.679146i | −0.136418 | + | 0.0216065i | ||||
\(989\) | −3.47044 | + | 16.3271i | −0.110354 | + | 0.519172i | ||||
\(990\) | −1.75679 | + | 4.97450i | −0.0558346 | + | 0.158100i | ||||
\(991\) | 47.7306i | 1.51621i | 0.652130 | + | 0.758107i | \(0.273875\pi\) | ||||
−0.652130 | + | 0.758107i | \(0.726125\pi\) | |||||||
\(992\) | −4.68897 | + | 3.00226i | −0.148875 | + | 0.0953217i | ||||
\(993\) | −14.7381 | − | 14.7381i | −0.467698 | − | 0.467698i | ||||
\(994\) | 11.4701 | + | 3.72687i | 0.363810 | + | 0.118209i | ||||
\(995\) | 30.9171 | + | 50.3557i | 0.980137 | + | 1.59638i | ||||
\(996\) | 1.29170 | + | 0.938474i | 0.0409290 | + | 0.0297367i | ||||
\(997\) | 12.9607 | + | 3.47280i | 0.410468 | + | 0.109985i | 0.458143 | − | 0.888878i | \(-0.348515\pi\) |
−0.0476753 | + | 0.998863i | \(0.515181\pi\) | |||||||
\(998\) | −10.1069 | − | 37.7196i | −0.319929 | − | 1.19399i | ||||
\(999\) | −2.79155 | − | 6.26992i | −0.0883206 | − | 0.198371i |
(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 | 310.2.w.a.53.6 | ✓ | 256 | |
5.2 | odd | 4 | inner | 310.2.w.a.177.11 | yes | 256 | |
31.24 | odd | 30 | inner | 310.2.w.a.303.11 | yes | 256 | |
155.117 | even | 60 | inner | 310.2.w.a.117.6 | yes | 256 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
310.2.w.a.53.6 | ✓ | 256 | 1.1 | even | 1 | trivial | |
310.2.w.a.117.6 | yes | 256 | 155.117 | even | 60 | inner | |
310.2.w.a.177.11 | yes | 256 | 5.2 | odd | 4 | inner | |
310.2.w.a.303.11 | yes | 256 | 31.24 | odd | 30 | inner |