Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [354,3,Mod(13,354)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(354, base_ring=CyclotomicField(58))
chi = DirichletCharacter(H, H._module([0, 45]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("354.13");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 354 = 2 \cdot 3 \cdot 59 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 354.f (of order \(58\), degree \(28\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(9.64580135835\) |
Analytic rank: | \(0\) |
Dimension: | \(560\) |
Relative dimension: | \(20\) over \(\Q(\zeta_{58})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{58}]$ |
Embedding invariants
Embedding label | 13.2 | ||
Character | \(\chi\) | \(=\) | 354.13 |
Dual form | 354.3.f.a.109.2 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/354\mathbb{Z}\right)^\times\).
\(n\) | \(61\) | \(119\) |
\(\chi(n)\) | \(e\left(\frac{45}{58}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.07786 | + | 0.915542i | −0.538930 | + | 0.457771i | ||||
\(3\) | −1.37887 | + | 1.04819i | −0.459625 | + | 0.349397i | ||||
\(4\) | 0.323564 | − | 1.97365i | 0.0808910 | − | 0.493413i | ||||
\(5\) | −2.10279 | + | 3.96628i | −0.420558 | + | 0.793256i | −0.999760 | − | 0.0219280i | \(-0.993020\pi\) |
0.579202 | + | 0.815184i | \(0.303364\pi\) | |||||||
\(6\) | 0.526568 | − | 2.39222i | 0.0877613 | − | 0.398704i | ||||
\(7\) | 8.08885 | − | 0.879715i | 1.15555 | − | 0.125674i | 0.489790 | − | 0.871840i | \(-0.337073\pi\) |
0.665759 | + | 0.746167i | \(0.268108\pi\) | |||||||
\(8\) | 1.45821 | + | 2.42356i | 0.182276 | + | 0.302945i | ||||
\(9\) | 0.802585 | − | 2.89065i | 0.0891761 | − | 0.321183i | ||||
\(10\) | −1.36479 | − | 6.20029i | −0.136479 | − | 0.620029i | ||||
\(11\) | 0.888210 | + | 2.63611i | 0.0807464 | + | 0.239647i | 0.980420 | − | 0.196915i | \(-0.0630925\pi\) |
−0.899674 | + | 0.436562i | \(0.856196\pi\) | |||||||
\(12\) | 1.62261 | + | 3.06058i | 0.135218 | + | 0.255048i | ||||
\(13\) | 11.4162 | − | 3.16970i | 0.878170 | − | 0.243823i | 0.200949 | − | 0.979602i | \(-0.435598\pi\) |
0.677222 | + | 0.735779i | \(0.263184\pi\) | |||||||
\(14\) | −7.91323 | + | 8.35389i | −0.565231 | + | 0.596707i | ||||
\(15\) | −1.25795 | − | 7.67313i | −0.0838630 | − | 0.511542i | ||||
\(16\) | −3.79061 | − | 1.27721i | −0.236913 | − | 0.0798254i | ||||
\(17\) | 13.0670 | + | 1.42112i | 0.768644 | + | 0.0835951i | 0.484035 | − | 0.875049i | \(-0.339171\pi\) |
0.284609 | + | 0.958644i | \(0.408136\pi\) | |||||||
\(18\) | 1.78144 | + | 3.85052i | 0.0989688 | + | 0.213918i | ||||
\(19\) | −0.356449 | − | 6.57432i | −0.0187605 | − | 0.346017i | −0.992812 | − | 0.119688i | \(-0.961810\pi\) |
0.974051 | − | 0.226329i | \(-0.0726723\pi\) | |||||||
\(20\) | 7.14768 | + | 5.43352i | 0.357384 | + | 0.271676i | ||||
\(21\) | −10.2314 | + | 9.69168i | −0.487209 | + | 0.461509i | ||||
\(22\) | −3.37084 | − | 2.02817i | −0.153220 | − | 0.0921894i | ||||
\(23\) | −5.60241 | + | 12.1094i | −0.243583 | + | 0.526496i | −0.990350 | − | 0.138590i | \(-0.955743\pi\) |
0.746767 | + | 0.665086i | \(0.231605\pi\) | |||||||
\(24\) | −4.55104 | − | 1.81330i | −0.189627 | − | 0.0755541i | ||||
\(25\) | 2.72001 | + | 4.01172i | 0.108801 | + | 0.160469i | ||||
\(26\) | −9.40309 | + | 13.8685i | −0.361657 | + | 0.533404i | ||||
\(27\) | 1.92329 | + | 4.82710i | 0.0712331 | + | 0.178782i | ||||
\(28\) | 0.881007 | − | 16.2492i | 0.0314645 | − | 0.580329i | ||||
\(29\) | −24.0025 | + | 28.2579i | −0.827672 | + | 0.974411i | −0.999943 | − | 0.0106388i | \(-0.996614\pi\) |
0.172271 | + | 0.985050i | \(0.444889\pi\) | |||||||
\(30\) | 8.38096 | + | 7.11885i | 0.279365 | + | 0.237295i | ||||
\(31\) | 19.0396 | + | 1.03230i | 0.614180 | + | 0.0332999i | 0.358605 | − | 0.933489i | \(-0.383253\pi\) |
0.255575 | + | 0.966789i | \(0.417735\pi\) | |||||||
\(32\) | 5.25509 | − | 2.09382i | 0.164221 | − | 0.0654318i | ||||
\(33\) | −3.98788 | − | 2.70385i | −0.120845 | − | 0.0819349i | ||||
\(34\) | −15.3854 | + | 10.4316i | −0.452513 | + | 0.306811i | ||||
\(35\) | −13.5199 | + | 33.9325i | −0.386284 | + | 0.969500i | ||||
\(36\) | −5.44545 | − | 2.51933i | −0.151263 | − | 0.0699815i | ||||
\(37\) | −16.8340 | + | 27.9783i | −0.454972 | + | 0.756170i | −0.996418 | − | 0.0845658i | \(-0.973050\pi\) |
0.541445 | + | 0.840736i | \(0.317877\pi\) | |||||||
\(38\) | 6.40327 | + | 6.75985i | 0.168507 | + | 0.177891i | ||||
\(39\) | −12.4191 | + | 16.3370i | −0.318438 | + | 0.418897i | ||||
\(40\) | −12.6788 | + | 0.687425i | −0.316970 | + | 0.0171856i | ||||
\(41\) | −13.4951 | + | 6.24352i | −0.329150 | + | 0.152281i | −0.577503 | − | 0.816389i | \(-0.695973\pi\) |
0.248353 | + | 0.968670i | \(0.420111\pi\) | |||||||
\(42\) | 2.15485 | − | 19.8135i | 0.0513060 | − | 0.471751i | ||||
\(43\) | −16.7565 | + | 49.7315i | −0.389686 | + | 1.15655i | 0.555921 | + | 0.831235i | \(0.312366\pi\) |
−0.945607 | + | 0.325312i | \(0.894531\pi\) | |||||||
\(44\) | 5.49017 | − | 0.900067i | 0.124776 | − | 0.0204561i | ||||
\(45\) | 9.77746 | + | 9.26170i | 0.217277 | + | 0.205816i | ||||
\(46\) | −5.04806 | − | 18.1815i | −0.109741 | − | 0.395250i | ||||
\(47\) | 19.3141 | − | 10.2397i | 0.410939 | − | 0.217866i | −0.250096 | − | 0.968221i | \(-0.580462\pi\) |
0.661035 | + | 0.750355i | \(0.270117\pi\) | |||||||
\(48\) | 6.56553 | − | 2.21219i | 0.136782 | − | 0.0460872i | ||||
\(49\) | 16.8011 | − | 3.69821i | 0.342880 | − | 0.0754737i | ||||
\(50\) | −6.60469 | − | 1.83378i | −0.132094 | − | 0.0366757i | ||||
\(51\) | −19.5073 | + | 11.7371i | −0.382496 | + | 0.230140i | ||||
\(52\) | −2.56200 | − | 23.5572i | −0.0492693 | − | 0.453024i | ||||
\(53\) | 31.6344 | + | 6.96326i | 0.596876 | + | 0.131382i | 0.503125 | − | 0.864213i | \(-0.332183\pi\) |
0.0937503 | + | 0.995596i | \(0.470114\pi\) | |||||||
\(54\) | −6.49246 | − | 3.44209i | −0.120231 | − | 0.0637423i | ||||
\(55\) | −12.3233 | − | 2.02030i | −0.224060 | − | 0.0367327i | ||||
\(56\) | 13.9273 | + | 18.3210i | 0.248701 | + | 0.327160i | ||||
\(57\) | 7.38265 | + | 8.69153i | 0.129520 | + | 0.152483i | ||||
\(58\) | − | 52.4334i | − | 0.904024i | ||||||
\(59\) | −49.3715 | + | 32.3026i | −0.836805 | + | 0.547501i | ||||
\(60\) | −15.5511 | −0.259185 | ||||||||
\(61\) | 8.89467 | − | 7.55520i | 0.145814 | − | 0.123856i | −0.571510 | − | 0.820595i | \(-0.693642\pi\) |
0.717325 | + | 0.696739i | \(0.245366\pi\) | |||||||
\(62\) | −21.4671 | + | 16.3189i | −0.346244 | + | 0.263208i | ||||
\(63\) | 3.94904 | − | 24.0881i | 0.0626832 | − | 0.382350i | ||||
\(64\) | −3.74727 | + | 7.06810i | −0.0585511 | + | 0.110439i | ||||
\(65\) | −11.4340 | + | 51.9451i | −0.175907 | + | 0.799156i | ||||
\(66\) | 6.77387 | − | 0.736703i | 0.102634 | − | 0.0111622i | ||||
\(67\) | −21.6110 | − | 35.9178i | −0.322552 | − | 0.536086i | 0.652577 | − | 0.757722i | \(-0.273688\pi\) |
−0.975129 | + | 0.221636i | \(0.928860\pi\) | |||||||
\(68\) | 7.03279 | − | 25.3298i | 0.103423 | − | 0.372497i | ||||
\(69\) | −4.96797 | − | 22.5697i | −0.0719996 | − | 0.327098i | ||||
\(70\) | −16.4940 | − | 48.9526i | −0.235629 | − | 0.699322i | ||||
\(71\) | 28.4958 | + | 53.7487i | 0.401349 | + | 0.757024i | 0.998999 | − | 0.0447327i | \(-0.0142436\pi\) |
−0.597650 | + | 0.801757i | \(0.703899\pi\) | |||||||
\(72\) | 8.17599 | − | 2.27005i | 0.113555 | − | 0.0315285i | ||||
\(73\) | −8.48263 | + | 8.95500i | −0.116200 | + | 0.122671i | −0.781500 | − | 0.623905i | \(-0.785545\pi\) |
0.665300 | + | 0.746576i | \(0.268304\pi\) | |||||||
\(74\) | −7.47064 | − | 45.5689i | −0.100955 | − | 0.615796i | ||||
\(75\) | −7.95561 | − | 2.68056i | −0.106075 | − | 0.0357408i | ||||
\(76\) | −13.0908 | − | 1.42371i | −0.172247 | − | 0.0187330i | ||||
\(77\) | 9.50362 | + | 20.5417i | 0.123424 | + | 0.266776i | ||||
\(78\) | −1.57121 | − | 28.9792i | −0.0201437 | − | 0.371528i | ||||
\(79\) | −4.51078 | − | 3.42900i | −0.0570985 | − | 0.0434051i | 0.576236 | − | 0.817284i | \(-0.304521\pi\) |
−0.633334 | + | 0.773878i | \(0.718314\pi\) | |||||||
\(80\) | 13.0366 | − | 12.3489i | 0.162958 | − | 0.154362i | ||||
\(81\) | −7.71171 | − | 4.63998i | −0.0952064 | − | 0.0572838i | ||||
\(82\) | 8.82967 | − | 19.0850i | 0.107679 | − | 0.232744i | ||||
\(83\) | 53.9567 | + | 21.4983i | 0.650081 | + | 0.259016i | 0.671782 | − | 0.740749i | \(-0.265529\pi\) |
−0.0217016 | + | 0.999764i | \(0.506908\pi\) | |||||||
\(84\) | 15.8175 | + | 23.3291i | 0.188304 | + | 0.277727i | ||||
\(85\) | −33.1136 | + | 48.8389i | −0.389572 | + | 0.574575i | ||||
\(86\) | −27.4702 | − | 68.9449i | −0.319420 | − | 0.801685i | ||||
\(87\) | 3.47667 | − | 64.1233i | 0.0399617 | − | 0.737050i | ||||
\(88\) | −5.09358 | + | 5.99663i | −0.0578816 | + | 0.0681435i | ||||
\(89\) | 47.8563 | + | 40.6495i | 0.537711 | + | 0.456736i | 0.874625 | − | 0.484799i | \(-0.161107\pi\) |
−0.336914 | + | 0.941535i | \(0.609383\pi\) | |||||||
\(90\) | −19.0182 | − | 1.03114i | −0.211314 | − | 0.0114571i | ||||
\(91\) | 89.5556 | − | 35.6822i | 0.984127 | − | 0.392112i | ||||
\(92\) | 22.0870 | + | 14.9754i | 0.240076 | + | 0.162776i | ||||
\(93\) | −27.3352 | + | 18.5337i | −0.293927 | + | 0.199287i | ||||
\(94\) | −11.4430 | + | 28.7199i | −0.121735 | + | 0.305531i | ||||
\(95\) | 26.8252 | + | 12.4106i | 0.282370 | + | 0.130638i | ||||
\(96\) | −5.05138 | + | 8.39545i | −0.0526185 | + | 0.0874526i | ||||
\(97\) | −48.0448 | − | 50.7203i | −0.495307 | − | 0.522889i | 0.429632 | − | 0.903004i | \(-0.358643\pi\) |
−0.924939 | + | 0.380115i | \(0.875885\pi\) | |||||||
\(98\) | −14.7234 | + | 19.3683i | −0.150239 | + | 0.197636i | ||||
\(99\) | 8.33295 | − | 0.451799i | 0.0841712 | − | 0.00456363i | ||||
\(100\) | 8.79784 | − | 4.07032i | 0.0879784 | − | 0.0407032i | ||||
\(101\) | 0.847202 | − | 7.78989i | 0.00838814 | − | 0.0771276i | −0.989196 | − | 0.146601i | \(-0.953167\pi\) |
0.997584 | + | 0.0694738i | \(0.0221320\pi\) | |||||||
\(102\) | 10.2803 | − | 30.5107i | 0.100787 | − | 0.299125i | ||||
\(103\) | 100.425 | − | 16.4638i | 0.974998 | − | 0.159843i | 0.346837 | − | 0.937926i | \(-0.387256\pi\) |
0.628162 | + | 0.778083i | \(0.283808\pi\) | |||||||
\(104\) | 24.3291 | + | 23.0458i | 0.233934 | + | 0.221594i | ||||
\(105\) | −16.9255 | − | 60.9601i | −0.161195 | − | 0.580573i | ||||
\(106\) | −40.4726 | + | 21.4572i | −0.381817 | + | 0.202427i | ||||
\(107\) | 153.889 | − | 51.8511i | 1.43821 | − | 0.484590i | 0.511147 | − | 0.859493i | \(-0.329221\pi\) |
0.927064 | + | 0.374904i | \(0.122324\pi\) | |||||||
\(108\) | 10.1493 | − | 2.23404i | 0.0939754 | − | 0.0206855i | ||||
\(109\) | 32.6419 | + | 9.06297i | 0.299467 | + | 0.0831465i | 0.414012 | − | 0.910272i | \(-0.364127\pi\) |
−0.114545 | + | 0.993418i | \(0.536541\pi\) | |||||||
\(110\) | 15.1324 | − | 9.10489i | 0.137568 | − | 0.0827717i | ||||
\(111\) | −6.11471 | − | 56.2238i | −0.0550874 | − | 0.506521i | ||||
\(112\) | −31.7853 | − | 6.99647i | −0.283797 | − | 0.0624684i | ||||
\(113\) | −107.874 | − | 57.1912i | −0.954638 | − | 0.506117i | −0.0831519 | − | 0.996537i | \(-0.526499\pi\) |
−0.871486 | + | 0.490420i | \(0.836844\pi\) | |||||||
\(114\) | −15.9149 | − | 2.60912i | −0.139605 | − | 0.0228870i | ||||
\(115\) | −36.2486 | − | 47.6842i | −0.315205 | − | 0.414646i | ||||
\(116\) | 48.0050 | + | 56.5158i | 0.413836 | + | 0.487205i | ||||
\(117\) | − | 35.5442i | − | 0.303797i | ||||||
\(118\) | 23.6411 | − | 80.0193i | 0.200349 | − | 0.678130i | ||||
\(119\) | 106.947 | 0.898712 | ||||||||
\(120\) | 16.7619 | − | 14.2377i | 0.139683 | − | 0.118648i | ||||
\(121\) | 90.1671 | − | 68.5432i | 0.745183 | − | 0.566473i | ||||
\(122\) | −2.67010 | + | 16.2869i | −0.0218861 | + | 0.133499i | ||||
\(123\) | 12.0637 | − | 22.7545i | 0.0980788 | − | 0.184996i | ||||
\(124\) | 8.19791 | − | 37.2435i | 0.0661122 | − | 0.300351i | ||||
\(125\) | −133.204 | + | 14.4868i | −1.06563 | + | 0.115894i | ||||
\(126\) | 17.7971 | + | 29.5791i | 0.141247 | + | 0.234755i | ||||
\(127\) | 36.5475 | − | 131.632i | 0.287775 | − | 1.03647i | −0.668429 | − | 0.743776i | \(-0.733033\pi\) |
0.956205 | − | 0.292698i | \(-0.0945531\pi\) | |||||||
\(128\) | −2.43211 | − | 11.0492i | −0.0190009 | − | 0.0863219i | ||||
\(129\) | −29.0231 | − | 86.1375i | −0.224985 | − | 0.667733i | ||||
\(130\) | −35.2337 | − | 66.4578i | −0.271029 | − | 0.511214i | ||||
\(131\) | 159.206 | − | 44.2034i | 1.21531 | − | 0.337430i | 0.400036 | − | 0.916499i | \(-0.368998\pi\) |
0.815279 | + | 0.579069i | \(0.196584\pi\) | |||||||
\(132\) | −6.62680 | + | 6.99583i | −0.0502030 | + | 0.0529987i | ||||
\(133\) | −8.66680 | − | 52.8651i | −0.0651639 | − | 0.397482i | ||||
\(134\) | 56.1779 | + | 18.9285i | 0.419238 | + | 0.141258i | ||||
\(135\) | −23.1899 | − | 2.52206i | −0.171777 | − | 0.0186819i | ||||
\(136\) | 15.6102 | + | 33.7408i | 0.114781 | + | 0.248094i | ||||
\(137\) | 0.409958 | + | 7.56123i | 0.00299239 | + | 0.0551915i | 0.999648 | − | 0.0265225i | \(-0.00844336\pi\) |
−0.996656 | + | 0.0817140i | \(0.973961\pi\) | |||||||
\(138\) | 26.0183 | + | 19.7786i | 0.188539 | + | 0.143323i | ||||
\(139\) | 59.5442 | − | 56.4032i | 0.428375 | − | 0.405779i | −0.442902 | − | 0.896570i | \(-0.646051\pi\) |
0.871277 | + | 0.490792i | \(0.163292\pi\) | |||||||
\(140\) | 62.5964 | + | 37.6630i | 0.447117 | + | 0.269021i | ||||
\(141\) | −15.8986 | + | 34.3642i | −0.112756 | + | 0.243718i | ||||
\(142\) | −79.9237 | − | 31.8445i | −0.562843 | − | 0.224257i | ||||
\(143\) | 18.4957 | + | 27.2791i | 0.129340 | + | 0.190763i | ||||
\(144\) | −6.73424 | + | 9.93227i | −0.0467656 | + | 0.0689741i | ||||
\(145\) | −61.6067 | − | 154.621i | −0.424873 | − | 1.06635i | ||||
\(146\) | 0.944401 | − | 17.4184i | 0.00646850 | − | 0.119304i | ||||
\(147\) | −19.2902 | + | 22.7102i | −0.131226 | + | 0.154491i | ||||
\(148\) | 49.7726 | + | 42.2772i | 0.336301 | + | 0.285657i | ||||
\(149\) | −95.5720 | − | 5.18176i | −0.641423 | − | 0.0347769i | −0.269441 | − | 0.963017i | \(-0.586839\pi\) |
−0.371982 | + | 0.928240i | \(0.621322\pi\) | |||||||
\(150\) | 11.0292 | − | 4.39443i | 0.0735280 | − | 0.0292962i | ||||
\(151\) | 202.123 | + | 137.043i | 1.33856 | + | 0.907569i | 0.999450 | − | 0.0331758i | \(-0.0105621\pi\) |
0.339115 | + | 0.940745i | \(0.389872\pi\) | |||||||
\(152\) | 15.4135 | − | 10.4506i | 0.101404 | − | 0.0687539i | ||||
\(153\) | 14.5953 | − | 36.6314i | 0.0953941 | − | 0.239421i | ||||
\(154\) | −29.0504 | − | 13.4402i | −0.188639 | − | 0.0872737i | ||||
\(155\) | −44.1306 | + | 73.3456i | −0.284713 | + | 0.473197i | ||||
\(156\) | 28.2252 | + | 29.7970i | 0.180931 | + | 0.191006i | ||||
\(157\) | −143.611 | + | 188.916i | −0.914717 | + | 1.20329i | 0.0639741 | + | 0.997952i | \(0.479622\pi\) |
−0.978691 | + | 0.205338i | \(0.934171\pi\) | |||||||
\(158\) | 8.00139 | − | 0.433823i | 0.0506417 | − | 0.00274571i | ||||
\(159\) | −50.9187 | + | 23.5575i | −0.320243 | + | 0.148160i | ||||
\(160\) | −2.74567 | + | 25.2460i | −0.0171604 | + | 0.157788i | ||||
\(161\) | −34.6642 | + | 102.880i | −0.215305 | + | 0.639004i | ||||
\(162\) | 12.5603 | − | 2.05915i | 0.0775324 | − | 0.0127108i | ||||
\(163\) | −21.9648 | − | 20.8062i | −0.134753 | − | 0.127645i | 0.617355 | − | 0.786685i | \(-0.288204\pi\) |
−0.752108 | + | 0.659040i | \(0.770963\pi\) | |||||||
\(164\) | 7.95600 | + | 28.6549i | 0.0485122 | + | 0.174725i | ||||
\(165\) | 19.1099 | − | 10.1314i | 0.115818 | − | 0.0614026i | ||||
\(166\) | −77.8404 | + | 26.2275i | −0.468918 | + | 0.157997i | ||||
\(167\) | −94.8518 | + | 20.8785i | −0.567975 | + | 0.125021i | −0.489669 | − | 0.871909i | \(-0.662882\pi\) |
−0.0783062 | + | 0.996929i | \(0.524951\pi\) | |||||||
\(168\) | −38.4078 | − | 10.6639i | −0.228618 | − | 0.0634755i | ||||
\(169\) | −24.5259 | + | 14.7568i | −0.145124 | + | 0.0873181i | ||||
\(170\) | −9.02227 | − | 82.9584i | −0.0530722 | − | 0.487991i | ||||
\(171\) | −19.2901 | − | 4.24608i | −0.112808 | − | 0.0248309i | ||||
\(172\) | 92.7310 | + | 49.1628i | 0.539134 | + | 0.285831i | ||||
\(173\) | −181.522 | − | 29.7590i | −1.04926 | − | 0.172017i | −0.387604 | − | 0.921826i | \(-0.626697\pi\) |
−0.661655 | + | 0.749809i | \(0.730146\pi\) | |||||||
\(174\) | 54.9603 | + | 72.2990i | 0.315864 | + | 0.415511i | ||||
\(175\) | 25.5309 | + | 30.0574i | 0.145891 | + | 0.171756i | ||||
\(176\) | − | 11.1269i | − | 0.0632211i | ||||||
\(177\) | 34.2177 | − | 96.2920i | 0.193320 | − | 0.544023i | ||||
\(178\) | −88.7988 | −0.498870 | ||||||||
\(179\) | −57.6729 | + | 48.9878i | −0.322195 | + | 0.273675i | −0.793857 | − | 0.608105i | \(-0.791930\pi\) |
0.471662 | + | 0.881779i | \(0.343654\pi\) | |||||||
\(180\) | 21.4430 | − | 16.3006i | 0.119128 | − | 0.0905587i | ||||
\(181\) | −39.3369 | + | 239.945i | −0.217331 | + | 1.32566i | 0.622417 | + | 0.782686i | \(0.286151\pi\) |
−0.839748 | + | 0.542976i | \(0.817297\pi\) | |||||||
\(182\) | −63.8598 | + | 120.452i | −0.350878 | + | 0.661826i | ||||
\(183\) | −4.34532 | + | 19.7410i | −0.0237449 | + | 0.107874i | ||||
\(184\) | −37.5173 | + | 4.08025i | −0.203898 | + | 0.0221753i | ||||
\(185\) | −75.5715 | − | 125.601i | −0.408494 | − | 0.678923i | ||||
\(186\) | 12.4951 | − | 45.0033i | 0.0671780 | − | 0.241953i | ||||
\(187\) | 7.85998 | + | 35.7082i | 0.0420320 | + | 0.190953i | ||||
\(188\) | −13.9603 | − | 41.4326i | −0.0742568 | − | 0.220386i | ||||
\(189\) | 19.8037 | + | 37.3538i | 0.104782 | + | 0.197639i | ||||
\(190\) | −40.2762 | + | 11.1826i | −0.211980 | + | 0.0588560i | ||||
\(191\) | 239.408 | − | 252.740i | 1.25345 | − | 1.32325i | 0.327851 | − | 0.944729i | \(-0.393676\pi\) |
0.925594 | − | 0.378517i | \(-0.123566\pi\) | |||||||
\(192\) | −2.24172 | − | 13.6739i | −0.0116756 | − | 0.0712181i | ||||
\(193\) | −120.905 | − | 40.7377i | −0.626452 | − | 0.211076i | −0.0118702 | − | 0.999930i | \(-0.503779\pi\) |
−0.614581 | + | 0.788853i | \(0.710675\pi\) | |||||||
\(194\) | 98.2221 | + | 10.6823i | 0.506300 | + | 0.0550634i | ||||
\(195\) | −38.6825 | − | 83.6108i | −0.198372 | − | 0.428773i | ||||
\(196\) | −1.86274 | − | 34.3562i | −0.00950378 | − | 0.175287i | ||||
\(197\) | −244.850 | − | 186.130i | −1.24289 | − | 0.944822i | −0.243209 | − | 0.969974i | \(-0.578200\pi\) |
−0.999684 | + | 0.0251516i | \(0.991993\pi\) | |||||||
\(198\) | −8.56811 | + | 8.11614i | −0.0432733 | + | 0.0409906i | ||||
\(199\) | 106.006 | + | 63.7817i | 0.532693 | + | 0.320511i | 0.756361 | − | 0.654155i | \(-0.226975\pi\) |
−0.223668 | + | 0.974665i | \(0.571803\pi\) | |||||||
\(200\) | −5.75629 | + | 12.4420i | −0.0287815 | + | 0.0622101i | ||||
\(201\) | 67.4476 | + | 26.8736i | 0.335560 | + | 0.133699i | ||||
\(202\) | 6.21881 | + | 9.17206i | 0.0307862 | + | 0.0454062i | ||||
\(203\) | −169.294 | + | 249.689i | −0.833958 | + | 1.23000i | ||||
\(204\) | 16.8532 | + | 42.2983i | 0.0826137 | + | 0.207345i | ||||
\(205\) | 3.61389 | − | 66.6544i | 0.0176288 | − | 0.325143i | ||||
\(206\) | −93.1706 | + | 109.689i | −0.452284 | + | 0.532470i | ||||
\(207\) | 30.5076 | + | 25.9134i | 0.147380 | + | 0.125186i | ||||
\(208\) | −47.3228 | − | 2.56577i | −0.227513 | − | 0.0123354i | ||||
\(209\) | 17.0141 | − | 6.77902i | 0.0814070 | − | 0.0324355i | ||||
\(210\) | 74.0549 | + | 50.2105i | 0.352642 | + | 0.239097i | ||||
\(211\) | −97.4707 | + | 66.0868i | −0.461946 | + | 0.313207i | −0.769867 | − | 0.638205i | \(-0.779677\pi\) |
0.307920 | + | 0.951412i | \(0.400367\pi\) | |||||||
\(212\) | 23.9788 | − | 60.1823i | 0.113108 | − | 0.283879i | ||||
\(213\) | −95.6311 | − | 44.2437i | −0.448972 | − | 0.207717i | ||||
\(214\) | −118.398 | + | 196.780i | −0.553264 | + | 0.919531i | ||||
\(215\) | −162.014 | − | 171.036i | −0.753553 | − | 0.795516i | ||||
\(216\) | −8.89421 | + | 11.7001i | −0.0411769 | + | 0.0541673i | ||||
\(217\) | 154.916 | − | 8.39932i | 0.713900 | − | 0.0387065i | ||||
\(218\) | −43.4809 | + | 20.1164i | −0.199454 | + | 0.0922771i | ||||
\(219\) | 2.30991 | − | 21.2392i | 0.0105475 | − | 0.0969829i | ||||
\(220\) | −7.97474 | + | 23.6682i | −0.0362488 | + | 0.107583i | ||||
\(221\) | 153.680 | − | 25.1945i | 0.695383 | − | 0.114002i | ||||
\(222\) | 58.0661 | + | 55.0031i | 0.261559 | + | 0.247762i | ||||
\(223\) | 95.7975 | + | 345.031i | 0.429585 | + | 1.54723i | 0.789207 | + | 0.614127i | \(0.210492\pi\) |
−0.359622 | + | 0.933098i | \(0.617094\pi\) | |||||||
\(224\) | 40.6656 | − | 21.5595i | 0.181543 | − | 0.0962480i | ||||
\(225\) | 13.7795 | − | 4.64286i | 0.0612423 | − | 0.0206349i | ||||
\(226\) | 168.634 | − | 37.1192i | 0.746169 | − | 0.164244i | ||||
\(227\) | 117.918 | + | 32.7399i | 0.519465 | + | 0.144229i | 0.517358 | − | 0.855769i | \(-0.326916\pi\) |
0.00210680 | + | 0.999998i | \(0.499329\pi\) | |||||||
\(228\) | 19.5428 | − | 11.7585i | 0.0857142 | − | 0.0515725i | ||||
\(229\) | 24.6936 | + | 227.054i | 0.107832 | + | 0.991503i | 0.915624 | + | 0.402035i | \(0.131697\pi\) |
−0.807792 | + | 0.589468i | \(0.799338\pi\) | |||||||
\(230\) | 82.7279 | + | 18.2098i | 0.359686 | + | 0.0791730i | ||||
\(231\) | −34.6360 | − | 18.3628i | −0.149939 | − | 0.0794928i | ||||
\(232\) | −103.485 | − | 16.9655i | −0.446057 | − | 0.0731274i | ||||
\(233\) | −26.9706 | − | 35.4793i | −0.115754 | − | 0.152272i | 0.734567 | − | 0.678536i | \(-0.237385\pi\) |
−0.850321 | + | 0.526265i | \(0.823592\pi\) | |||||||
\(234\) | 32.5422 | + | 38.3117i | 0.139069 | + | 0.163725i | ||||
\(235\) | 98.1373i | 0.417605i | ||||||||
\(236\) | 47.7793 | + | 107.894i | 0.202455 | + | 0.457178i | ||||
\(237\) | 9.81405 | 0.0414095 | ||||||||
\(238\) | −115.274 | + | 97.9143i | −0.484343 | + | 0.411405i | ||||
\(239\) | 263.183 | − | 200.067i | 1.10118 | − | 0.837099i | 0.113497 | − | 0.993538i | \(-0.463795\pi\) |
0.987688 | + | 0.156440i | \(0.0500017\pi\) | |||||||
\(240\) | −5.03178 | + | 30.6925i | −0.0209658 | + | 0.127885i | ||||
\(241\) | 125.236 | − | 236.220i | 0.519652 | − | 0.980167i | −0.475301 | − | 0.879823i | \(-0.657661\pi\) |
0.994953 | − | 0.100344i | \(-0.0319943\pi\) | |||||||
\(242\) | −34.4332 | + | 156.432i | −0.142286 | + | 0.646412i | ||||
\(243\) | 15.4971 | − | 1.68541i | 0.0637740 | − | 0.00693584i | ||||
\(244\) | −12.0334 | − | 19.9996i | −0.0493170 | − | 0.0819655i | ||||
\(245\) | −20.6611 | + | 74.4146i | −0.0843311 | + | 0.303733i | ||||
\(246\) | 7.82977 | + | 35.5710i | 0.0318284 | + | 0.144598i | ||||
\(247\) | −24.9079 | − | 73.9240i | −0.100842 | − | 0.299288i | ||||
\(248\) | 25.2618 | + | 47.6488i | 0.101862 | + | 0.192132i | ||||
\(249\) | −96.9338 | + | 26.9135i | −0.389293 | + | 0.108087i | ||||
\(250\) | 130.312 | − | 137.569i | 0.521247 | − | 0.550274i | ||||
\(251\) | −11.4408 | − | 69.7857i | −0.0455808 | − | 0.278031i | 0.954195 | − | 0.299184i | \(-0.0967144\pi\) |
−0.999776 | + | 0.0211534i | \(0.993266\pi\) | |||||||
\(252\) | −46.2637 | − | 15.5881i | −0.183586 | − | 0.0618574i | ||||
\(253\) | −36.8979 | − | 4.01289i | −0.145841 | − | 0.0158612i | ||||
\(254\) | 81.1218 | + | 175.342i | 0.319377 | + | 0.690322i | ||||
\(255\) | −5.53310 | − | 102.052i | −0.0216984 | − | 0.400204i | ||||
\(256\) | 12.7375 | + | 9.68279i | 0.0497558 | + | 0.0378234i | ||||
\(257\) | −144.045 | + | 136.447i | −0.560488 | + | 0.530923i | −0.914642 | − | 0.404265i | \(-0.867528\pi\) |
0.354154 | + | 0.935187i | \(0.384769\pi\) | |||||||
\(258\) | 110.145 | + | 66.2723i | 0.426920 | + | 0.256869i | ||||
\(259\) | −111.555 | + | 241.121i | −0.430713 | + | 0.930970i | ||||
\(260\) | 98.8220 | + | 39.3743i | 0.380085 | + | 0.151440i | ||||
\(261\) | 62.4197 | + | 92.0622i | 0.239156 | + | 0.352729i | ||||
\(262\) | −131.132 | + | 193.405i | −0.500503 | + | 0.738187i | ||||
\(263\) | −33.2181 | − | 83.3711i | −0.126305 | − | 0.317001i | 0.852203 | − | 0.523211i | \(-0.175266\pi\) |
−0.978508 | + | 0.206211i | \(0.933887\pi\) | |||||||
\(264\) | 0.737785 | − | 13.6076i | 0.00279464 | − | 0.0515441i | ||||
\(265\) | −94.1387 | + | 110.829i | −0.355240 | + | 0.418221i | ||||
\(266\) | 57.7419 | + | 49.0464i | 0.217075 | + | 0.184385i | ||||
\(267\) | −108.596 | − | 5.88792i | −0.406728 | − | 0.0220521i | ||||
\(268\) | −77.8818 | + | 31.0309i | −0.290604 | + | 0.115787i | ||||
\(269\) | 77.6449 | + | 52.6446i | 0.288643 | + | 0.195705i | 0.696912 | − | 0.717157i | \(-0.254557\pi\) |
−0.408269 | + | 0.912862i | \(0.633867\pi\) | |||||||
\(270\) | 27.3046 | − | 18.5129i | 0.101128 | − | 0.0685665i | ||||
\(271\) | 96.5166 | − | 242.238i | 0.356150 | − | 0.893869i | −0.636325 | − | 0.771421i | \(-0.719546\pi\) |
0.992475 | − | 0.122448i | \(-0.0390744\pi\) | |||||||
\(272\) | −47.7167 | − | 22.0761i | −0.175429 | − | 0.0811621i | ||||
\(273\) | −86.0840 | + | 143.073i | −0.315326 | + | 0.524076i | ||||
\(274\) | −7.36450 | − | 7.77461i | −0.0268778 | − | 0.0283745i | ||||
\(275\) | −8.15941 | + | 10.7335i | −0.0296706 | + | 0.0390310i | ||||
\(276\) | −46.1523 | + | 2.50230i | −0.167218 | + | 0.00906632i | ||||
\(277\) | 265.409 | − | 122.791i | 0.958154 | − | 0.443289i | 0.122453 | − | 0.992474i | \(-0.460924\pi\) |
0.835701 | + | 0.549185i | \(0.185062\pi\) | |||||||
\(278\) | −12.5407 | + | 115.310i | −0.0451105 | + | 0.414784i | ||||
\(279\) | 18.2649 | − | 54.2082i | 0.0654655 | − | 0.194295i | ||||
\(280\) | −101.952 | + | 16.7142i | −0.364115 | + | 0.0596937i | ||||
\(281\) | −87.3926 | − | 82.7827i | −0.311006 | − | 0.294600i | 0.516236 | − | 0.856446i | \(-0.327333\pi\) |
−0.827242 | + | 0.561846i | \(0.810091\pi\) | |||||||
\(282\) | −14.3255 | − | 51.5956i | −0.0507995 | − | 0.182963i | ||||
\(283\) | −334.570 | + | 177.378i | −1.18223 | + | 0.626777i | −0.939243 | − | 0.343254i | \(-0.888471\pi\) |
−0.242983 | + | 0.970030i | \(0.578126\pi\) | |||||||
\(284\) | 115.302 | − | 38.8496i | 0.405991 | − | 0.136794i | ||||
\(285\) | −49.9972 | + | 11.0052i | −0.175429 | + | 0.0386148i | ||||
\(286\) | −44.9109 | − | 12.4694i | −0.157031 | − | 0.0435995i | ||||
\(287\) | −103.668 | + | 62.3748i | −0.361211 | + | 0.217334i | ||||
\(288\) | −1.83484 | − | 16.8711i | −0.00637097 | − | 0.0585801i | ||||
\(289\) | −113.518 | − | 24.9871i | −0.392794 | − | 0.0864606i | ||||
\(290\) | 207.965 | + | 110.256i | 0.717122 | + | 0.380194i | ||||
\(291\) | 119.412 | + | 19.5767i | 0.410352 | + | 0.0672737i | ||||
\(292\) | 14.9294 | + | 19.6393i | 0.0511281 | + | 0.0672578i | ||||
\(293\) | −179.333 | − | 211.127i | −0.612058 | − | 0.720570i | 0.365600 | − | 0.930772i | \(-0.380864\pi\) |
−0.977658 | + | 0.210202i | \(0.932588\pi\) | |||||||
\(294\) | − | 42.1394i | − | 0.143331i | ||||||
\(295\) | −24.3033 | − | 263.747i | −0.0823842 | − | 0.894057i | ||||
\(296\) | −92.3544 | −0.312008 | ||||||||
\(297\) | −11.0165 | + | 9.35750i | −0.0370926 | + | 0.0315067i | ||||
\(298\) | 107.757 | − | 81.9150i | 0.361602 | − | 0.274883i | ||||
\(299\) | −25.5751 | + | 156.001i | −0.0855356 | + | 0.521744i | ||||
\(300\) | −7.86464 | + | 14.8343i | −0.0262155 | + | 0.0494476i | ||||
\(301\) | −91.7912 | + | 417.012i | −0.304954 | + | 1.38542i | ||||
\(302\) | −343.329 | + | 37.3393i | −1.13685 | + | 0.123640i | ||||
\(303\) | 6.99712 | + | 11.6293i | 0.0230928 | + | 0.0383805i | ||||
\(304\) | −7.04560 | + | 25.3760i | −0.0231763 | + | 0.0834736i | ||||
\(305\) | 11.2624 | + | 51.1658i | 0.0369260 | + | 0.167757i | ||||
\(306\) | 17.8059 | + | 52.8462i | 0.0581894 | + | 0.172700i | ||||
\(307\) | 1.66775 | + | 3.14571i | 0.00543241 | + | 0.0102466i | 0.886213 | − | 0.463277i | \(-0.153327\pi\) |
−0.880781 | + | 0.473524i | \(0.842982\pi\) | |||||||
\(308\) | 43.6173 | − | 12.1103i | 0.141615 | − | 0.0393191i | ||||
\(309\) | −121.216 | + | 127.966i | −0.392284 | + | 0.414130i | ||||
\(310\) | −19.5844 | − | 119.460i | −0.0631756 | − | 0.385354i | ||||
\(311\) | −431.218 | − | 145.294i | −1.38655 | − | 0.467184i | −0.475589 | − | 0.879668i | \(-0.657765\pi\) |
−0.910965 | + | 0.412484i | \(0.864661\pi\) | |||||||
\(312\) | −57.7032 | − | 6.27560i | −0.184946 | − | 0.0201141i | ||||
\(313\) | 57.9998 | + | 125.364i | 0.185303 | + | 0.400525i | 0.977856 | − | 0.209277i | \(-0.0671109\pi\) |
−0.792554 | + | 0.609802i | \(0.791249\pi\) | |||||||
\(314\) | −18.1690 | − | 335.107i | −0.0578630 | − | 1.06722i | ||||
\(315\) | 87.2361 | + | 66.3151i | 0.276940 | + | 0.210524i | ||||
\(316\) | −8.22719 | + | 7.79321i | −0.0260354 | + | 0.0246621i | ||||
\(317\) | 73.0806 | + | 43.9711i | 0.230538 | + | 0.138710i | 0.626137 | − | 0.779713i | \(-0.284635\pi\) |
−0.395598 | + | 0.918424i | \(0.629463\pi\) | |||||||
\(318\) | 33.3153 | − | 72.0099i | 0.104765 | − | 0.226446i | ||||
\(319\) | −95.8103 | − | 38.1743i | −0.300346 | − | 0.119669i | ||||
\(320\) | −20.1543 | − | 29.7254i | −0.0629823 | − | 0.0928920i | ||||
\(321\) | −157.843 | + | 232.801i | −0.491723 | + | 0.725237i | ||||
\(322\) | −56.8275 | − | 142.626i | −0.176483 | − | 0.442939i | ||||
\(323\) | 4.68517 | − | 86.4129i | 0.0145052 | − | 0.267532i | ||||
\(324\) | −11.6530 | + | 13.7189i | −0.0359659 | + | 0.0423423i | ||||
\(325\) | 43.7682 | + | 37.1770i | 0.134671 | + | 0.114391i | ||||
\(326\) | 42.7239 | + | 2.31642i | 0.131055 | + | 0.00710559i | ||||
\(327\) | −54.5088 | + | 21.7183i | −0.166693 | + | 0.0664167i | ||||
\(328\) | −34.8102 | − | 23.6019i | −0.106129 | − | 0.0719571i | ||||
\(329\) | 147.221 | − | 99.8184i | 0.447481 | − | 0.303399i | ||||
\(330\) | −11.3221 | + | 28.4162i | −0.0343092 | + | 0.0861097i | ||||
\(331\) | 248.048 | + | 114.759i | 0.749390 | + | 0.346705i | 0.757129 | − | 0.653265i | \(-0.226601\pi\) |
−0.00773915 | + | 0.999970i | \(0.502463\pi\) | |||||||
\(332\) | 59.8887 | − | 99.5357i | 0.180388 | − | 0.299806i | ||||
\(333\) | 67.3648 | + | 71.1161i | 0.202297 | + | 0.213562i | ||||
\(334\) | 83.1218 | − | 109.345i | 0.248868 | − | 0.327380i | ||||
\(335\) | 187.903 | − | 10.1878i | 0.560906 | − | 0.0304114i | ||||
\(336\) | 51.1615 | − | 23.6698i | 0.152266 | − | 0.0704459i | ||||
\(337\) | 36.9239 | − | 339.509i | 0.109566 | − | 1.00745i | −0.802289 | − | 0.596935i | \(-0.796385\pi\) |
0.911856 | − | 0.410511i | \(-0.134650\pi\) | |||||||
\(338\) | 12.9251 | − | 38.3602i | 0.0382399 | − | 0.113492i | ||||
\(339\) | 208.692 | − | 34.2134i | 0.615611 | − | 0.100924i | ||||
\(340\) | 85.6767 | + | 81.1573i | 0.251990 | + | 0.238698i | ||||
\(341\) | 14.1899 | + | 51.1074i | 0.0416126 | + | 0.149875i | ||||
\(342\) | 24.6795 | − | 13.0843i | 0.0721624 | − | 0.0382581i | ||||
\(343\) | −245.172 | + | 82.6080i | −0.714787 | + | 0.240840i | ||||
\(344\) | −144.962 | + | 31.9085i | −0.421400 | + | 0.0927572i | ||||
\(345\) | 99.9645 | + | 27.7550i | 0.289752 | + | 0.0804493i | ||||
\(346\) | 222.901 | − | 134.115i | 0.644222 | − | 0.387615i | ||||
\(347\) | −70.3277 | − | 646.653i | −0.202674 | − | 1.86355i | −0.447896 | − | 0.894086i | \(-0.647827\pi\) |
0.245223 | − | 0.969467i | \(-0.421139\pi\) | |||||||
\(348\) | −125.432 | − | 27.6097i | −0.360438 | − | 0.0793383i | ||||
\(349\) | 485.758 | + | 257.533i | 1.39186 | + | 0.737916i | 0.984505 | − | 0.175355i | \(-0.0561072\pi\) |
0.407352 | + | 0.913271i | \(0.366452\pi\) | |||||||
\(350\) | −55.0376 | − | 9.02295i | −0.157250 | − | 0.0257799i | ||||
\(351\) | 37.2572 | + | 49.0110i | 0.106146 | + | 0.139632i | ||||
\(352\) | 10.1872 | + | 11.9933i | 0.0289408 | + | 0.0340717i | ||||
\(353\) | − | 284.178i | − | 0.805038i | −0.915412 | − | 0.402519i | \(-0.868135\pi\) | ||
0.915412 | − | 0.402519i | \(-0.131865\pi\) | |||||||
\(354\) | 51.2775 | + | 135.117i | 0.144852 | + | 0.381687i | ||||
\(355\) | −273.103 | −0.769305 | ||||||||
\(356\) | 95.7126 | − | 81.2990i | 0.268856 | − | 0.228368i | ||||
\(357\) | −147.466 | + | 112.101i | −0.413070 | + | 0.314008i | ||||
\(358\) | 17.3129 | − | 105.604i | 0.0483600 | − | 0.294983i | ||||
\(359\) | 319.600 | − | 602.829i | 0.890250 | − | 1.67919i | 0.170034 | − | 0.985438i | \(-0.445612\pi\) |
0.720215 | − | 0.693751i | \(-0.244043\pi\) | |||||||
\(360\) | −8.18872 | + | 37.2017i | −0.0227464 | + | 0.103338i | ||||
\(361\) | 315.789 | − | 34.3441i | 0.874762 | − | 0.0951361i | ||||
\(362\) | −177.280 | − | 294.641i | −0.489723 | − | 0.813927i | ||||
\(363\) | −52.4825 | + | 189.025i | −0.144580 | + | 0.520730i | ||||
\(364\) | −41.4473 | − | 188.297i | −0.113866 | − | 0.517300i | ||||
\(365\) | −17.6809 | − | 52.4750i | −0.0484408 | − | 0.143767i | ||||
\(366\) | −13.3901 | − | 25.2564i | −0.0365849 | − | 0.0690065i | ||||
\(367\) | 511.914 | − | 142.132i | 1.39486 | − | 0.387281i | 0.512836 | − | 0.858486i | \(-0.328595\pi\) |
0.882024 | + | 0.471205i | \(0.156181\pi\) | |||||||
\(368\) | 36.7028 | − | 38.7466i | 0.0997357 | − | 0.105290i | ||||
\(369\) | 7.21683 | + | 44.0207i | 0.0195578 | + | 0.119297i | ||||
\(370\) | 196.448 | + | 66.1911i | 0.530941 | + | 0.178895i | ||||
\(371\) | 262.012 | + | 28.4955i | 0.706231 | + | 0.0768072i | ||||
\(372\) | 27.7345 | + | 59.9471i | 0.0745550 | + | 0.161148i | ||||
\(373\) | −25.6741 | − | 473.530i | −0.0688313 | − | 1.26952i | −0.805227 | − | 0.592967i | \(-0.797956\pi\) |
0.736395 | − | 0.676551i | \(-0.236526\pi\) | |||||||
\(374\) | −41.1644 | − | 31.2923i | −0.110065 | − | 0.0836693i | ||||
\(375\) | 168.486 | − | 159.599i | 0.449297 | − | 0.425597i | ||||
\(376\) | 52.9805 | + | 31.8773i | 0.140906 | + | 0.0847801i | ||||
\(377\) | −184.449 | + | 398.679i | −0.489253 | + | 1.05750i | ||||
\(378\) | −55.5446 | − | 22.1310i | −0.146943 | − | 0.0585476i | ||||
\(379\) | 64.3050 | + | 94.8428i | 0.169670 | + | 0.250245i | 0.903012 | − | 0.429615i | \(-0.141351\pi\) |
−0.733342 | + | 0.679860i | \(0.762040\pi\) | |||||||
\(380\) | 33.1739 | − | 48.9279i | 0.0872999 | − | 0.128758i | ||||
\(381\) | 87.5815 | + | 219.813i | 0.229873 | + | 0.576937i | ||||
\(382\) | −26.6541 | + | 491.607i | −0.0697752 | + | 1.28693i | ||||
\(383\) | 158.582 | − | 186.697i | 0.414052 | − | 0.487460i | −0.515114 | − | 0.857121i | \(-0.672251\pi\) |
0.929166 | + | 0.369662i | \(0.120526\pi\) | |||||||
\(384\) | 14.9353 | + | 12.6861i | 0.0388939 | + | 0.0330368i | ||||
\(385\) | −101.458 | − | 5.50092i | −0.263528 | − | 0.0142881i | ||||
\(386\) | 167.616 | − | 66.7843i | 0.434238 | − | 0.173016i | ||||
\(387\) | 130.308 | + | 88.3510i | 0.336713 | + | 0.228297i | ||||
\(388\) | −115.650 | + | 78.4125i | −0.298066 | + | 0.202094i | ||||
\(389\) | 61.4225 | − | 154.159i | 0.157898 | − | 0.396295i | −0.828649 | − | 0.559768i | \(-0.810890\pi\) |
0.986548 | + | 0.163473i | \(0.0522696\pi\) | |||||||
\(390\) | 118.243 | + | 54.7053i | 0.303188 | + | 0.140270i | ||||
\(391\) | −90.4153 | + | 150.271i | −0.231241 | + | 0.384326i | ||||
\(392\) | 33.4624 | + | 35.3258i | 0.0853632 | + | 0.0901168i | ||||
\(393\) | −173.192 | + | 227.830i | −0.440691 | + | 0.579719i | ||||
\(394\) | 434.324 | − | 23.5483i | 1.10234 | − | 0.0597674i | ||||
\(395\) | 23.0856 | − | 10.6805i | 0.0584446 | − | 0.0270393i | ||||
\(396\) | 1.80455 | − | 16.5925i | 0.00455693 | − | 0.0419003i | ||||
\(397\) | 207.537 | − | 615.947i | 0.522763 | − | 1.55150i | −0.282912 | − | 0.959146i | \(-0.591301\pi\) |
0.805675 | − | 0.592358i | \(-0.201803\pi\) | |||||||
\(398\) | −172.654 | + | 28.3053i | −0.433805 | + | 0.0711187i | ||||
\(399\) | 67.3632 | + | 63.8099i | 0.168830 | + | 0.159924i | ||||
\(400\) | −5.18672 | − | 18.6809i | −0.0129668 | − | 0.0467022i | ||||
\(401\) | −107.414 | + | 56.9475i | −0.267866 | + | 0.142014i | −0.596928 | − | 0.802295i | \(-0.703612\pi\) |
0.329062 | + | 0.944308i | \(0.393268\pi\) | |||||||
\(402\) | −97.3029 | + | 32.7852i | −0.242047 | + | 0.0815552i | ||||
\(403\) | 220.632 | − | 48.5647i | 0.547474 | − | 0.120508i | ||||
\(404\) | −15.1004 | − | 4.19261i | −0.0373773 | − | 0.0103777i | ||||
\(405\) | 34.6196 | − | 20.8299i | 0.0854805 | − | 0.0514319i | ||||
\(406\) | −46.1264 | − | 424.125i | −0.113612 | − | 1.04464i | ||||
\(407\) | −88.7061 | − | 19.5257i | −0.217951 | − | 0.0479746i | ||||
\(408\) | −56.8913 | − | 30.1619i | −0.139439 | − | 0.0739261i | ||||
\(409\) | 235.870 | + | 38.6689i | 0.576699 | + | 0.0945451i | 0.443071 | − | 0.896486i | \(-0.353889\pi\) |
0.133628 | + | 0.991032i | \(0.457337\pi\) | |||||||
\(410\) | 57.1296 | + | 75.1527i | 0.139341 | + | 0.183299i | ||||
\(411\) | −8.49090 | − | 9.99626i | −0.0206591 | − | 0.0243218i | ||||
\(412\) | − | 203.531i | − | 0.494007i | ||||||
\(413\) | −370.941 | + | 304.724i | −0.898163 | + | 0.737829i | ||||
\(414\) | −56.6078 | −0.136734 | ||||||||
\(415\) | −198.728 | + | 168.801i | −0.478862 | + | 0.406749i | ||||
\(416\) | 53.3564 | − | 40.5605i | 0.128261 | − | 0.0975012i | ||||
\(417\) | −22.9824 | + | 140.187i | −0.0551138 | + | 0.336179i | ||||
\(418\) | −12.1323 | + | 22.8839i | −0.0290246 | + | 0.0547462i | ||||
\(419\) | −78.9625 | + | 358.730i | −0.188455 | + | 0.856158i | 0.783574 | + | 0.621298i | \(0.213394\pi\) |
−0.972029 | + | 0.234860i | \(0.924537\pi\) | |||||||
\(420\) | −125.791 | + | 13.6806i | −0.299501 | + | 0.0325727i | ||||
\(421\) | −199.032 | − | 330.794i | −0.472761 | − | 0.785734i | 0.525105 | − | 0.851038i | \(-0.324026\pi\) |
−0.997865 | + | 0.0653033i | \(0.979199\pi\) | |||||||
\(422\) | 44.5545 | − | 160.471i | 0.105579 | − | 0.380263i | ||||
\(423\) | −14.0982 | − | 64.0487i | −0.0333290 | − | 0.151415i | ||||
\(424\) | 29.2536 | + | 86.8217i | 0.0689944 | + | 0.204768i | ||||
\(425\) | 29.8412 | + | 56.2864i | 0.0702145 | + | 0.132439i | ||||
\(426\) | 143.584 | − | 39.8659i | 0.337051 | − | 0.0935818i | ||||
\(427\) | 65.3012 | − | 68.9377i | 0.152930 | − | 0.161447i | ||||
\(428\) | −52.5433 | − | 320.500i | −0.122765 | − | 0.748831i | ||||
\(429\) | −54.0969 | − | 18.2274i | −0.126100 | − | 0.0424881i | ||||
\(430\) | 331.219 | + | 36.0222i | 0.770276 | + | 0.0837726i | ||||
\(431\) | −241.630 | − | 522.274i | −0.560626 | − | 1.21177i | −0.956031 | − | 0.293266i | \(-0.905258\pi\) |
0.395405 | − | 0.918507i | \(-0.370604\pi\) | |||||||
\(432\) | −1.12526 | − | 20.7541i | −0.00260476 | − | 0.0480420i | ||||
\(433\) | −372.361 | − | 283.061i | −0.859956 | − | 0.653721i | 0.0793334 | − | 0.996848i | \(-0.474721\pi\) |
−0.939289 | + | 0.343127i | \(0.888514\pi\) | |||||||
\(434\) | −159.288 | + | 150.886i | −0.367023 | + | 0.347663i | ||||
\(435\) | 247.020 | + | 148.627i | 0.567863 | + | 0.341672i | ||||
\(436\) | 28.4489 | − | 61.4913i | 0.0652498 | − | 0.141035i | ||||
\(437\) | 81.6081 | + | 32.5156i | 0.186746 | + | 0.0744065i | ||||
\(438\) | 16.9557 | + | 25.0078i | 0.0387116 | + | 0.0570953i | ||||
\(439\) | 77.6710 | − | 114.556i | 0.176927 | − | 0.260948i | −0.728877 | − | 0.684645i | \(-0.759957\pi\) |
0.905804 | + | 0.423697i | \(0.139268\pi\) | |||||||
\(440\) | −13.0736 | − | 32.8122i | −0.0297127 | − | 0.0745732i | ||||
\(441\) | 2.79411 | − | 51.5344i | 0.00633585 | − | 0.116858i | ||||
\(442\) | −142.579 | + | 167.856i | −0.322576 | + | 0.379766i | ||||
\(443\) | 26.0819 | + | 22.1541i | 0.0588755 | + | 0.0500093i | 0.676341 | − | 0.736589i | \(-0.263565\pi\) |
−0.617465 | + | 0.786598i | \(0.711840\pi\) | |||||||
\(444\) | −112.945 | − | 6.12369i | −0.254380 | − | 0.0137921i | ||||
\(445\) | −261.859 | + | 104.334i | −0.588448 | + | 0.234459i | ||||
\(446\) | −419.147 | − | 284.189i | −0.939792 | − | 0.637195i | ||||
\(447\) | 137.213 | − | 93.0328i | 0.306965 | − | 0.208127i | ||||
\(448\) | −24.0932 | + | 60.4693i | −0.0537794 | + | 0.134976i | ||||
\(449\) | −105.757 | − | 48.9286i | −0.235540 | − | 0.108972i | 0.298569 | − | 0.954388i | \(-0.403491\pi\) |
−0.534109 | + | 0.845416i | \(0.679353\pi\) | |||||||
\(450\) | −10.6017 | + | 17.6201i | −0.0235592 | + | 0.0391558i | ||||
\(451\) | −28.4452 | − | 30.0292i | −0.0630713 | − | 0.0665836i | ||||
\(452\) | −147.780 | + | 194.401i | −0.326947 | + | 0.430091i | ||||
\(453\) | −422.350 | + | 22.8991i | −0.932339 | + | 0.0505500i | ||||
\(454\) | −157.074 | + | 72.6704i | −0.345979 | + | 0.160067i | ||||
\(455\) | −46.7908 | + | 430.235i | −0.102837 | + | 0.945571i | ||||
\(456\) | −10.2990 | + | 30.5663i | −0.0225855 | + | 0.0670315i | ||||
\(457\) | 859.549 | − | 140.916i | 1.88085 | − | 0.308350i | 0.891400 | − | 0.453217i | \(-0.149724\pi\) |
0.989451 | + | 0.144867i | \(0.0462754\pi\) | |||||||
\(458\) | −234.494 | − | 222.124i | −0.511996 | − | 0.484988i | ||||
\(459\) | 18.2717 | + | 65.8088i | 0.0398077 | + | 0.143374i | ||||
\(460\) | −105.841 | + | 56.1133i | −0.230089 | + | 0.121985i | ||||
\(461\) | 239.662 | − | 80.7516i | 0.519874 | − | 0.175166i | −0.0471177 | − | 0.998889i | \(-0.515004\pi\) |
0.566992 | + | 0.823723i | \(0.308107\pi\) | |||||||
\(462\) | 54.1447 | − | 11.9182i | 0.117196 | − | 0.0257969i | ||||
\(463\) | −290.516 | − | 80.6614i | −0.627465 | − | 0.174215i | −0.0607823 | − | 0.998151i | \(-0.519360\pi\) |
−0.566682 | + | 0.823936i | \(0.691773\pi\) | |||||||
\(464\) | 127.075 | − | 76.4587i | 0.273869 | − | 0.164782i | ||||
\(465\) | −16.0298 | − | 147.392i | −0.0344727 | − | 0.316971i | ||||
\(466\) | 61.5533 | + | 13.5489i | 0.132089 | + | 0.0290749i | ||||
\(467\) | 282.339 | + | 149.687i | 0.604580 | + | 0.320528i | 0.742428 | − | 0.669925i | \(-0.233674\pi\) |
−0.137849 | + | 0.990453i | \(0.544019\pi\) | |||||||
\(468\) | −70.1520 | − | 11.5008i | −0.149897 | − | 0.0245744i | ||||
\(469\) | −206.406 | − | 271.522i | −0.440097 | − | 0.578938i | ||||
\(470\) | −89.8488 | − | 105.778i | −0.191168 | − | 0.225060i | ||||
\(471\) | − | 411.023i | − | 0.872661i | ||||||
\(472\) | −150.281 | − | 72.5508i | −0.318392 | − | 0.153709i | ||||
\(473\) | −145.981 | −0.308628 | ||||||||
\(474\) | −10.5782 | + | 8.98518i | −0.0223168 | + | 0.0189561i | ||||
\(475\) | 25.4048 | − | 19.3122i | 0.0534838 | − | 0.0406573i | ||||
\(476\) | 34.6041 | − | 211.076i | 0.0726978 | − | 0.443437i | ||||
\(477\) | 45.5176 | − | 85.8554i | 0.0954248 | − | 0.179990i | ||||
\(478\) | −100.505 | + | 456.599i | −0.210262 | + | 0.955228i | ||||
\(479\) | 495.205 | − | 53.8568i | 1.03383 | − | 0.112436i | 0.424562 | − | 0.905399i | \(-0.360428\pi\) |
0.609270 | + | 0.792963i | \(0.291463\pi\) | |||||||
\(480\) | −22.6767 | − | 37.6890i | −0.0472432 | − | 0.0785188i | ||||
\(481\) | −103.498 | + | 372.765i | −0.215172 | + | 0.774979i | ||||
\(482\) | 81.2828 | + | 369.271i | 0.168636 | + | 0.766123i | ||||
\(483\) | −60.0401 | − | 178.193i | −0.124307 | − | 0.368929i | ||||
\(484\) | −106.106 | − | 200.137i | −0.219227 | − | 0.413506i | ||||
\(485\) | 302.199 | − | 83.9051i | 0.623090 | − | 0.173000i | ||||
\(486\) | −15.1606 | + | 16.0049i | −0.0311947 | + | 0.0329318i | ||||
\(487\) | 8.88480 | + | 54.1949i | 0.0182439 | + | 0.111283i | 0.994379 | − | 0.105883i | \(-0.0337669\pi\) |
−0.976135 | + | 0.217166i | \(0.930319\pi\) | |||||||
\(488\) | 31.2807 | + | 10.5397i | 0.0640999 | + | 0.0215978i | ||||
\(489\) | 52.0955 | + | 5.66573i | 0.106535 | + | 0.0115864i | ||||
\(490\) | −45.8600 | − | 99.1247i | −0.0935917 | − | 0.202295i | ||||
\(491\) | −14.5851 | − | 269.006i | −0.0297048 | − | 0.547874i | −0.975075 | − | 0.221875i | \(-0.928782\pi\) |
0.945370 | − | 0.325999i | \(-0.105700\pi\) | |||||||
\(492\) | −41.0062 | − | 31.1721i | −0.0833459 | − | 0.0633579i | ||||
\(493\) | −353.797 | + | 335.135i | −0.717641 | + | 0.679786i | ||||
\(494\) | 94.5278 | + | 56.8755i | 0.191352 | + | 0.115133i | ||||
\(495\) | −15.7305 | + | 34.0008i | −0.0317787 | + | 0.0686886i | ||||
\(496\) | −70.8532 | − | 28.2305i | −0.142849 | − | 0.0569163i | ||||
\(497\) | 277.782 | + | 409.697i | 0.558917 | + | 0.824340i | ||||
\(498\) | 79.8406 | − | 117.756i | 0.160322 | − | 0.236458i | ||||
\(499\) | −61.4745 | − | 154.289i | −0.123195 | − | 0.309197i | 0.854425 | − | 0.519575i | \(-0.173910\pi\) |
−0.977620 | + | 0.210378i | \(0.932530\pi\) | |||||||
\(500\) | −14.5081 | + | 267.586i | −0.0290161 | + | 0.535171i | ||||
\(501\) | 108.904 | − | 128.212i | 0.217373 | − | 0.255912i | ||||
\(502\) | 76.2233 | + | 64.7447i | 0.151839 | + | 0.128973i | ||||
\(503\) | −890.636 | − | 48.2889i | −1.77065 | − | 0.0960017i | −0.860285 | − | 0.509813i | \(-0.829715\pi\) |
−0.910363 | + | 0.413811i | \(0.864197\pi\) | |||||||
\(504\) | 64.1374 | − | 25.5547i | 0.127257 | − | 0.0507037i | ||||
\(505\) | 29.1154 | + | 19.7407i | 0.0576543 | + | 0.0390906i | ||||
\(506\) | 43.4447 | − | 29.4562i | 0.0858591 | − | 0.0582139i | ||||
\(507\) | 18.3502 | − | 46.0556i | 0.0361937 | − | 0.0908394i | ||||
\(508\) | −247.971 | − | 114.723i | −0.488131 | − | 0.225834i | ||||
\(509\) | −131.010 | + | 217.740i | −0.257386 | + | 0.427779i | −0.958425 | − | 0.285344i | \(-0.907892\pi\) |
0.701039 | + | 0.713123i | \(0.252720\pi\) | |||||||
\(510\) | 99.3970 | + | 104.932i | 0.194896 | + | 0.205749i | ||||
\(511\) | −60.7368 | + | 79.8979i | −0.118859 | + | 0.156356i | ||||
\(512\) | −22.5942 | + | 1.22502i | −0.0441294 | + | 0.00239262i | ||||
\(513\) | 31.0494 | − | 14.3650i | 0.0605251 | − | 0.0280019i | ||||
\(514\) | 30.3377 | − | 278.951i | 0.0590228 | − | 0.542705i | ||||
\(515\) | −145.872 | + | 432.933i | −0.283247 | + | 0.840647i | ||||
\(516\) | −179.396 | + | 29.4106i | −0.347667 | + | 0.0569972i | ||||
\(517\) | 44.1480 | + | 41.8193i | 0.0853927 | + | 0.0808883i | ||||
\(518\) | −100.517 | − | 362.028i | −0.194047 | − | 0.698896i | ||||
\(519\) | 281.489 | − | 149.236i | 0.542368 | − | 0.287545i | ||||
\(520\) | −142.565 | + | 48.0358i | −0.274164 | + | 0.0923765i | ||||
\(521\) | −482.119 | + | 106.123i | −0.925373 | + | 0.203690i | −0.652001 | − | 0.758218i | \(-0.726070\pi\) |
−0.273372 | + | 0.961908i | \(0.588139\pi\) | |||||||
\(522\) | −151.567 | − | 42.0822i | −0.290357 | − | 0.0806173i | ||||
\(523\) | −837.139 | + | 503.690i | −1.60065 | + | 0.963078i | −0.616162 | + | 0.787619i | \(0.711313\pi\) |
−0.984487 | + | 0.175459i | \(0.943859\pi\) | |||||||
\(524\) | −35.7287 | − | 328.520i | −0.0681846 | − | 0.626947i | ||||
\(525\) | −66.7098 | − | 14.6839i | −0.127066 | − | 0.0279694i | ||||
\(526\) | 112.134 | + | 59.4498i | 0.213183 | + | 0.113022i | ||||
\(527\) | 247.322 | + | 40.5464i | 0.469302 | + | 0.0769382i | ||||
\(528\) | 11.6631 | + | 15.3426i | 0.0220893 | + | 0.0290580i | ||||
\(529\) | 227.217 | + | 267.500i | 0.429521 | + | 0.505671i | ||||
\(530\) | − | 205.646i | − | 0.388011i | ||||||
\(531\) | 53.7507 | + | 168.641i | 0.101225 | + | 0.317592i | ||||
\(532\) | −107.142 | −0.201394 | ||||||||
\(533\) | −134.273 | + | 114.053i | −0.251920 | + | 0.213983i | ||||
\(534\) | 122.442 | − | 93.0782i | 0.229293 | − | 0.174304i | ||||
\(535\) | −117.939 | + | 719.397i | −0.220447 | + | 1.34467i | ||||
\(536\) | 55.5355 | − | 104.751i | 0.103611 | − | 0.195431i | ||||
\(537\) | 28.1750 | − | 128.000i | 0.0524674 | − | 0.238362i | ||||
\(538\) | −131.889 | + | 14.3438i | −0.245146 | + | 0.0266613i | ||||
\(539\) | 24.6718 | + | 41.0049i | 0.0457734 | + | 0.0760759i | ||||
\(540\) | −12.4811 | + | 44.9528i | −0.0231131 | + | 0.0832460i | ||||
\(541\) | −111.178 | − | 505.088i | −0.205505 | − | 0.933618i | −0.960585 | − | 0.277986i | \(-0.910333\pi\) |
0.755080 | − | 0.655632i | \(-0.227598\pi\) | |||||||
\(542\) | 117.748 | + | 349.464i | 0.217248 | + | 0.644768i | ||||
\(543\) | −197.268 | − | 372.086i | −0.363292 | − | 0.685242i | ||||
\(544\) | 71.6435 | − | 19.8917i | 0.131698 | − | 0.0365657i | ||||
\(545\) | −104.585 | + | 110.409i | −0.191900 | + | 0.202586i | ||||
\(546\) | −38.2027 | − | 233.026i | −0.0699682 | − | 0.426787i | ||||
\(547\) | 815.138 | + | 274.652i | 1.49020 | + | 0.502106i | 0.942395 | − | 0.334501i | \(-0.108568\pi\) |
0.547803 | + | 0.836607i | \(0.315464\pi\) | |||||||
\(548\) | 15.0559 | + | 1.63743i | 0.0274743 | + | 0.00298801i | ||||
\(549\) | −14.7007 | − | 31.7751i | −0.0267773 | − | 0.0578781i | ||||
\(550\) | −1.03229 | − | 19.0395i | −0.00187689 | − | 0.0346173i | ||||
\(551\) | 194.332 | + | 147.728i | 0.352690 | + | 0.268108i | ||||
\(552\) | 47.4547 | − | 44.9515i | 0.0859687 | − | 0.0814339i | ||||
\(553\) | −39.5035 | − | 23.7685i | −0.0714350 | − | 0.0429810i | ||||
\(554\) | −173.653 | + | 375.345i | −0.313453 | + | 0.677517i | ||||
\(555\) | 235.857 | + | 93.9741i | 0.424968 | + | 0.169323i | ||||
\(556\) | −92.0540 | − | 135.770i | −0.165565 | − | 0.244190i | ||||
\(557\) | −94.4045 | + | 139.236i | −0.169487 | + | 0.249975i | −0.902941 | − | 0.429764i | \(-0.858597\pi\) |
0.733454 | + | 0.679739i | \(0.237907\pi\) | |||||||
\(558\) | 29.9430 | + | 75.1512i | 0.0536612 | + | 0.134679i | ||||
\(559\) | −33.6620 | + | 620.859i | −0.0602182 | + | 1.11066i | ||||
\(560\) | 94.5877 | − | 111.357i | 0.168907 | − | 0.198852i | ||||
\(561\) | −48.2670 | − | 40.9984i | −0.0860374 | − | 0.0730809i | ||||
\(562\) | 169.988 | + | 9.21648i | 0.302470 | + | 0.0163994i | ||||
\(563\) | 726.145 | − | 289.323i | 1.28978 | − | 0.513895i | 0.378468 | − | 0.925614i | \(-0.376451\pi\) |
0.911311 | + | 0.411720i | \(0.135072\pi\) | |||||||
\(564\) | 62.6788 | + | 42.4973i | 0.111133 | + | 0.0753498i | ||||
\(565\) | 453.673 | − | 307.598i | 0.802961 | − | 0.544421i | ||||
\(566\) | 198.223 | − | 497.501i | 0.350217 | − | 0.878978i | ||||
\(567\) | −66.4607 | − | 30.7480i | −0.117215 | − | 0.0542293i | ||||
\(568\) | −88.7105 | + | 147.438i | −0.156180 | + | 0.259574i | ||||
\(569\) | 17.0187 | + | 17.9664i | 0.0299098 | + | 0.0315754i | 0.740779 | − | 0.671749i | \(-0.234457\pi\) |
−0.710869 | + | 0.703325i | \(0.751698\pi\) | |||||||
\(570\) | 43.8143 | − | 57.6367i | 0.0768671 | − | 0.101117i | ||||
\(571\) | 9.23529 | − | 0.500723i | 0.0161739 | − | 0.000876922i | −0.0460502 | − | 0.998939i | \(-0.514663\pi\) |
0.0622241 | + | 0.998062i | \(0.480181\pi\) | |||||||
\(572\) | 59.8240 | − | 27.6775i | 0.104587 | − | 0.0483873i | ||||
\(573\) | −65.1933 | + | 599.442i | −0.113775 | + | 1.04615i | ||||
\(574\) | 54.6325 | − | 162.143i | 0.0951785 | − | 0.282480i | ||||
\(575\) | −63.8182 | + | 10.4625i | −0.110988 | + | 0.0181956i | ||||
\(576\) | 17.4239 | + | 16.5048i | 0.0302498 | + | 0.0286541i | ||||
\(577\) | 39.0187 | + | 140.533i | 0.0676234 | + | 0.243558i | 0.989635 | − | 0.143604i | \(-0.0458693\pi\) |
−0.922012 | + | 0.387162i | \(0.873455\pi\) | |||||||
\(578\) | 145.233 | − | 76.9976i | 0.251268 | − | 0.133214i | ||||
\(579\) | 209.414 | − | 70.5598i | 0.361682 | − | 0.121865i | ||||
\(580\) | −325.102 | + | 71.5604i | −0.560521 | + | 0.123380i | ||||
\(581\) | 455.360 | + | 126.430i | 0.783752 | + | 0.217608i | ||||
\(582\) | −146.633 | + | 88.2261i | −0.251947 | + | 0.151591i | ||||
\(583\) | 9.74206 | + | 89.5767i | 0.0167102 | + | 0.153648i | ||||
\(584\) | −34.0724 | − | 7.49990i | −0.0583431 | − | 0.0128423i | ||||
\(585\) | 140.978 | + | 74.7420i | 0.240989 | + | 0.127764i | ||||
\(586\) | 386.592 | + | 63.3785i | 0.659712 | + | 0.108154i | ||||
\(587\) | 239.932 | + | 315.626i | 0.408743 | + | 0.537693i | 0.953695 | − | 0.300775i | \(-0.0972452\pi\) |
−0.544952 | + | 0.838467i | \(0.683452\pi\) | |||||||
\(588\) | 38.5804 | + | 45.4204i | 0.0656130 | + | 0.0772456i | ||||
\(589\) | − | 125.540i | − | 0.213141i | ||||||
\(590\) | 267.667 | + | 262.031i | 0.453673 | + | 0.444121i | ||||
\(591\) | 532.717 | 0.901383 | ||||||||
\(592\) | 99.5452 | − | 84.5544i | 0.168151 | − | 0.142828i | ||||
\(593\) | 10.2712 | − | 7.80800i | 0.0173208 | − | 0.0131669i | −0.596478 | − | 0.802629i | \(-0.703434\pi\) |
0.613799 | + | 0.789462i | \(0.289641\pi\) | |||||||
\(594\) | 3.30706 | − | 20.1722i | 0.00556744 | − | 0.0339599i | ||||
\(595\) | −224.887 | + | 424.181i | −0.377961 | + | 0.712909i | ||||
\(596\) | −41.1507 | + | 186.949i | −0.0690447 | + | 0.313673i | ||||
\(597\) | −213.024 | + | 23.1678i | −0.356825 | + | 0.0388070i | ||||
\(598\) | −115.260 | − | 191.563i | −0.192742 | − | 0.320339i | ||||
\(599\) | −80.5896 | + | 290.258i | −0.134540 | + | 0.484570i | −0.999861 | − | 0.0166476i | \(-0.994701\pi\) |
0.865321 | + | 0.501218i | \(0.167114\pi\) | |||||||
\(600\) | −5.10444 | − | 23.1897i | −0.00850739 | − | 0.0386495i | ||||
\(601\) | 107.827 | + | 320.019i | 0.179413 | + | 0.532478i | 0.999192 | − | 0.0402023i | \(-0.0128003\pi\) |
−0.819779 | + | 0.572680i | \(0.805904\pi\) | |||||||
\(602\) | −282.854 | − | 533.519i | −0.469857 | − | 0.886244i | ||||
\(603\) | −121.170 | + | 33.6428i | −0.200946 | + | 0.0557923i | ||||
\(604\) | 335.875 | − | 354.579i | 0.556084 | − | 0.587051i | ||||
\(605\) | 82.2594 | + | 501.760i | 0.135966 | + | 0.829355i | ||||
\(606\) | −18.1890 | − | 6.12860i | −0.0300149 | − | 0.0101132i | ||||
\(607\) | −651.207 | − | 70.8231i | −1.07283 | − | 0.116677i | −0.445385 | − | 0.895339i | \(-0.646933\pi\) |
−0.627444 | + | 0.778662i | \(0.715899\pi\) | |||||||
\(608\) | −15.6386 | − | 33.8023i | −0.0257214 | − | 0.0555959i | ||||
\(609\) | −28.2880 | − | 521.742i | −0.0464500 | − | 0.856719i | ||||
\(610\) | −58.9838 | − | 44.8383i | −0.0966947 | − | 0.0735054i | ||||
\(611\) | 188.038 | − | 178.119i | 0.307754 | − | 0.291520i | ||||
\(612\) | −67.5752 | − | 40.6587i | −0.110417 | − | 0.0664357i | ||||
\(613\) | −356.467 | + | 770.491i | −0.581513 | + | 1.25692i | 0.364020 | + | 0.931391i | \(0.381404\pi\) |
−0.945533 | + | 0.325528i | \(0.894458\pi\) | |||||||
\(614\) | −4.67763 | − | 1.86374i | −0.00761829 | − | 0.00303541i | ||||
\(615\) | 64.8835 | + | 95.6960i | 0.105502 | + | 0.155603i | ||||
\(616\) | −35.9259 | + | 52.9867i | −0.0583212 | + | 0.0860174i | ||||
\(617\) | 230.821 | + | 579.318i | 0.374103 | + | 0.938927i | 0.988676 | + | 0.150067i | \(0.0479490\pi\) |
−0.614573 | + | 0.788860i | \(0.710672\pi\) | |||||||
\(618\) | 13.4954 | − | 248.908i | 0.0218372 | − | 0.402763i | ||||
\(619\) | 37.3589 | − | 43.9823i | 0.0603536 | − | 0.0710538i | −0.731157 | − | 0.682209i | \(-0.761019\pi\) |
0.791510 | + | 0.611156i | \(0.209295\pi\) | |||||||
\(620\) | 130.480 | + | 110.830i | 0.210451 | + | 0.178759i | ||||
\(621\) | −69.2284 | − | 3.75346i | −0.111479 | − | 0.00604421i | ||||
\(622\) | 597.816 | − | 238.192i | 0.961119 | − | 0.382945i | ||||
\(623\) | 422.862 | + | 286.708i | 0.678752 | + | 0.460205i | ||||
\(624\) | 67.9416 | − | 46.0655i | 0.108881 | − | 0.0738230i | ||||
\(625\) | 177.790 | − | 446.220i | 0.284465 | − | 0.713953i | ||||
\(626\) | −177.292 | − | 82.0241i | −0.283214 | − | 0.131029i | ||||
\(627\) | −16.3545 | + | 27.1814i | −0.0260838 | + | 0.0433516i | ||||
\(628\) | 326.388 | + | 344.564i | 0.519727 | + | 0.548669i | ||||
\(629\) | −259.729 | + | 341.668i | −0.412924 | + | 0.543193i | ||||
\(630\) | −154.743 | + | 8.38990i | −0.245623 | + | 0.0133173i | ||||
\(631\) | −59.4933 | + | 27.5245i | −0.0942842 | + | 0.0436205i | −0.466464 | − | 0.884540i | \(-0.654472\pi\) |
0.372180 | + | 0.928160i | \(0.378610\pi\) | |||||||
\(632\) | 1.73275 | − | 15.9323i | 0.00274169 | − | 0.0252094i | ||||
\(633\) | 65.1281 | − | 193.293i | 0.102888 | − | 0.305361i | ||||
\(634\) | −119.028 | + | 19.5137i | −0.187742 | + | 0.0307787i | ||||
\(635\) | 445.238 | + | 421.752i | 0.701163 | + | 0.664177i | ||||
\(636\) | 30.0189 | + | 108.118i | 0.0471995 | + | 0.169997i | ||||
\(637\) | 180.083 | − | 95.4741i | 0.282705 | − | 0.149881i | ||||
\(638\) | 138.220 | − | 46.5718i | 0.216646 | − | 0.0729966i | ||||
\(639\) | 178.239 | − | 39.2334i | 0.278934 | − | 0.0613981i | ||||
\(640\) | 48.9385 | + | 13.5877i | 0.0764663 | + | 0.0212308i | ||||
\(641\) | −195.719 | + | 117.760i | −0.305333 | + | 0.183713i | −0.659972 | − | 0.751291i | \(-0.729432\pi\) |
0.354638 | + | 0.935004i | \(0.384604\pi\) | |||||||
\(642\) | −43.0066 | − | 395.439i | −0.0669884 | − | 0.615948i | ||||
\(643\) | −334.965 | − | 73.7313i | −0.520940 | − | 0.114668i | −0.0532864 | − | 0.998579i | \(-0.516970\pi\) |
−0.467654 | + | 0.883912i | \(0.654901\pi\) | |||||||
\(644\) | 191.833 | + | 101.703i | 0.297877 | + | 0.157924i | ||||
\(645\) | 402.675 | + | 66.0152i | 0.624302 | + | 0.102349i | ||||
\(646\) | 74.0648 | + | 97.4305i | 0.114651 | + | 0.150821i | ||||
\(647\) | −556.060 | − | 654.645i | −0.859444 | − | 1.01182i | −0.999764 | − | 0.0217094i | \(-0.993089\pi\) |
0.140320 | − | 0.990106i | \(-0.455187\pi\) | |||||||
\(648\) | − | 25.4558i | − | 0.0392837i | ||||||
\(649\) | −129.006 | − | 101.457i | −0.198776 | − | 0.156329i | ||||
\(650\) | −81.2131 | −0.124943 | ||||||||
\(651\) | −204.806 | + | 173.964i | −0.314602 | + | 0.267225i | ||||
\(652\) | −48.1711 | + | 36.6187i | −0.0738821 | + | 0.0561637i | ||||
\(653\) | 74.3884 | − | 453.749i | 0.113918 | − | 0.694869i | −0.866684 | − | 0.498858i | \(-0.833753\pi\) |
0.980602 | − | 0.196011i | \(-0.0627988\pi\) | |||||||
\(654\) | 38.8688 | − | 73.3143i | 0.0594324 | − | 0.112101i | ||||
\(655\) | −159.454 | + | 724.407i | −0.243441 | + | 1.10596i | ||||
\(656\) | 59.1291 | − | 6.43068i | 0.0901359 | − | 0.00980287i | ||||
\(657\) | 19.0777 | + | 31.7075i | 0.0290377 | + | 0.0482610i | ||||
\(658\) | −67.2958 | + | 242.377i | −0.102273 | + | 0.368355i | ||||
\(659\) | 41.7295 | + | 189.579i | 0.0633224 | + | 0.287677i | 0.997631 | − | 0.0687877i | \(-0.0219131\pi\) |
−0.934309 | + | 0.356464i | \(0.883982\pi\) | |||||||
\(660\) | −13.8127 | − | 40.9945i | −0.0209283 | − | 0.0621129i | ||||
\(661\) | −579.415 | − | 1092.89i | −0.876573 | − | 1.65339i | −0.750003 | − | 0.661435i | \(-0.769948\pi\) |
−0.126570 | − | 0.991958i | \(-0.540397\pi\) | |||||||
\(662\) | −372.428 | + | 103.404i | −0.562580 | + | 0.156200i | ||||
\(663\) | −185.496 | + | 195.826i | −0.279783 | + | 0.295363i | ||||
\(664\) | 26.5776 | + | 162.116i | 0.0400265 | + | 0.244151i | ||||
\(665\) | 227.902 | + | 76.7893i | 0.342710 | + | 0.115473i | ||||
\(666\) | −137.720 | − | 14.9779i | −0.206786 | − | 0.0224894i | ||||
\(667\) | −207.715 | − | 448.968i | −0.311416 | − | 0.673116i | ||||
\(668\) | 10.5162 | + | 193.960i | 0.0157428 | + | 0.290359i | ||||
\(669\) | −493.752 | − | 375.340i | −0.738045 | − | 0.561047i | ||||
\(670\) | −193.206 | + | 183.015i | −0.288367 | + | 0.273156i | ||||
\(671\) | 27.8167 | + | 16.7368i | 0.0414556 | + | 0.0249430i | ||||
\(672\) | −33.4742 | + | 72.3533i | −0.0498128 | + | 0.107669i | ||||
\(673\) | −373.766 | − | 148.922i | −0.555373 | − | 0.221281i | 0.0755286 | − | 0.997144i | \(-0.475936\pi\) |
−0.630902 | + | 0.775863i | \(0.717315\pi\) | |||||||
\(674\) | 271.037 | + | 399.749i | 0.402131 | + | 0.593099i | ||||
\(675\) | −14.1336 | + | 20.8455i | −0.0209387 | + | 0.0308822i | ||||
\(676\) | 21.1890 | + | 53.1804i | 0.0313447 | + | 0.0786693i | ||||
\(677\) | 47.8103 | − | 881.809i | 0.0706208 | − | 1.30252i | −0.721609 | − | 0.692301i | \(-0.756597\pi\) |
0.792230 | − | 0.610223i | \(-0.208920\pi\) | |||||||
\(678\) | −193.617 | + | 227.944i | −0.285571 | + | 0.336200i | ||||
\(679\) | −433.246 | − | 368.003i | −0.638065 | − | 0.541978i | ||||
\(680\) | −166.650 | − | 9.03552i | −0.245074 | − | 0.0132875i | ||||
\(681\) | −196.912 | + | 78.4571i | −0.289152 | + | 0.115209i | ||||
\(682\) | −62.0857 | − | 42.0951i | −0.0910347 | − | 0.0617231i | ||||
\(683\) | −149.602 | + | 101.433i | −0.219037 | + | 0.148511i | −0.665771 | − | 0.746156i | \(-0.731897\pi\) |
0.446734 | + | 0.894667i | \(0.352587\pi\) | |||||||
\(684\) | −14.6219 | + | 36.6982i | −0.0213770 | + | 0.0536523i | ||||
\(685\) | −30.8520 | − | 14.2737i | −0.0450394 | − | 0.0208375i | ||||
\(686\) | 188.630 | − | 313.505i | 0.274971 | − | 0.457005i | ||||
\(687\) | −272.046 | − | 287.195i | −0.395991 | − | 0.418043i | ||||
\(688\) | 127.035 | − | 167.111i | 0.184644 | − | 0.242895i | ||||
\(689\) | 383.217 | − | 20.7774i | 0.556192 | − | 0.0301559i | ||||
\(690\) | −133.159 | + | 61.6057i | −0.192984 | + | 0.0892837i | ||||
\(691\) | −53.4692 | + | 491.641i | −0.0773794 | + | 0.711492i | 0.889618 | + | 0.456706i | \(0.150971\pi\) |
−0.966997 | + | 0.254786i | \(0.917995\pi\) | |||||||
\(692\) | −117.468 | + | 348.632i | −0.169751 | + | 0.503804i | ||||
\(693\) | 67.0065 | − | 10.9852i | 0.0966904 | − | 0.0158516i | ||||
\(694\) | 667.841 | + | 632.613i | 0.962308 | + | 0.911546i | ||||
\(695\) | 98.5022 | + | 354.773i | 0.141730 | + | 0.510465i | ||||
\(696\) | 160.476 | − | 85.0791i | 0.230569 | − | 0.122240i | ||||
\(697\) | −185.213 | + | 62.4056i | −0.265729 | + | 0.0895346i | ||||
\(698\) | −759.362 | + | 167.148i | −1.08791 | + | 0.239467i | ||||
\(699\) | 74.3782 | + | 20.6510i | 0.106407 | + | 0.0295436i | ||||
\(700\) | 67.5837 | − | 40.6638i | 0.0965481 | − | 0.0580911i | ||||
\(701\) | 62.1510 | + | 571.469i | 0.0886604 | + | 0.815219i | 0.951063 | + | 0.308996i | \(0.0999931\pi\) |
−0.862403 | + | 0.506223i | \(0.831041\pi\) | |||||||
\(702\) | −85.0297 | − | 18.7164i | −0.121125 | − | 0.0266616i | ||||
\(703\) | 189.939 | + | 100.699i | 0.270183 | + | 0.143242i | ||||
\(704\) | −21.9607 | − | 3.60027i | −0.0311941 | − | 0.00511402i | ||||
\(705\) | −102.867 | − | 135.319i | −0.145910 | − | 0.191942i | ||||
\(706\) | 260.177 | + | 306.304i | 0.368523 | + | 0.433859i | ||||
\(707\) | − | 63.7565i | − | 0.0901790i | ||||||
\(708\) | −178.975 | − | 98.6905i | −0.252790 | − | 0.139393i | ||||
\(709\) | −502.843 | −0.709228 | −0.354614 | − | 0.935013i | \(-0.615388\pi\) | ||||
−0.354614 | + | 0.935013i | \(0.615388\pi\) | |||||||
\(710\) | 294.367 | − | 250.038i | 0.414601 | − | 0.352166i | ||||
\(711\) | −13.5323 | + | 10.2870i | −0.0190328 | + | 0.0144684i | ||||
\(712\) | −28.7321 | + | 175.258i | −0.0403541 | + | 0.246149i | ||||
\(713\) | −119.168 | + | 224.774i | −0.167136 | + | 0.315252i | ||||
\(714\) | 56.3147 | − | 255.840i | 0.0788722 | − | 0.358320i | ||||
\(715\) | −147.089 | + | 15.9969i | −0.205719 | + | 0.0223733i | ||||
\(716\) | 78.0240 | + | 129.677i | 0.108972 | + | 0.181113i | ||||
\(717\) | −153.188 | + | 551.733i | −0.213651 | + | 0.769502i | ||||
\(718\) | 207.432 | + | 942.372i | 0.288902 | + | 1.31250i | ||||
\(719\) | −145.067 | − | 430.542i | −0.201762 | − | 0.598807i | 0.798232 | − | 0.602350i | \(-0.205769\pi\) |
−0.999994 | + | 0.00354297i | \(0.998872\pi\) | |||||||
\(720\) | −25.2335 | − | 47.5954i | −0.0350465 | − | 0.0661047i | ||||
\(721\) | 797.838 | − | 221.519i | 1.10657 | − | 0.307238i | ||||
\(722\) | −308.933 | + | 326.137i | −0.427885 | + | 0.451713i | ||||
\(723\) | 74.9196 | + | 456.989i | 0.103623 | + | 0.632074i | ||||
\(724\) | 460.840 | + | 155.275i | 0.636519 | + | 0.214468i | ||||
\(725\) | −178.650 | − | 19.4293i | −0.246414 | − | 0.0267991i | ||||
\(726\) | −116.492 | − | 251.792i | −0.160457 | − | 0.346821i | ||||
\(727\) | −52.6350 | − | 970.796i | −0.0724003 | − | 1.33534i | −0.778684 | − | 0.627416i | \(-0.784113\pi\) |
0.706284 | − | 0.707929i | \(-0.250370\pi\) | |||||||
\(728\) | 217.068 | + | 165.011i | 0.298171 | + | 0.226664i | ||||
\(729\) | −19.6019 | + | 18.5679i | −0.0268887 | + | 0.0254704i | ||||
\(730\) | 67.1006 | + | 40.3731i | 0.0919186 | + | 0.0553056i | ||||
\(731\) | −289.631 | + | 626.027i | −0.396212 | + | 0.856398i | ||||
\(732\) | 37.5559 | + | 14.9636i | 0.0513059 | + | 0.0204421i | ||||
\(733\) | −646.254 | − | 953.154i | −0.881657 | − | 1.30035i | −0.953024 | − | 0.302896i | \(-0.902046\pi\) |
0.0713670 | − | 0.997450i | \(-0.477264\pi\) | |||||||
\(734\) | −421.643 | + | 621.877i | −0.574446 | + | 0.847244i | ||||
\(735\) | −49.5118 | − | 124.265i | −0.0673630 | − | 0.169068i | ||||
\(736\) | −4.08625 | + | 75.3664i | −0.00555196 | + | 0.102400i | ||||
\(737\) | 75.4882 | − | 88.8716i | 0.102426 | − | 0.120586i | ||||
\(738\) | −48.0816 | − | 40.8408i | −0.0651512 | − | 0.0553399i | ||||
\(739\) | −887.720 | − | 48.1308i | −1.20124 | − | 0.0651296i | −0.557372 | − | 0.830263i | \(-0.688190\pi\) |
−0.643872 | + | 0.765133i | \(0.722673\pi\) | |||||||
\(740\) | −272.345 | + | 108.512i | −0.368033 | + | 0.146638i | ||||
\(741\) | 111.831 | + | 75.8236i | 0.150920 | + | 0.102326i | ||||
\(742\) | −308.501 | + | 209.169i | −0.415769 | + | 0.281898i | ||||
\(743\) | 75.2237 | − | 188.797i | 0.101243 | − | 0.254101i | −0.869626 | − | 0.493711i | \(-0.835640\pi\) |
0.970869 | + | 0.239610i | \(0.0770194\pi\) | |||||||
\(744\) | −84.7780 | − | 39.2225i | −0.113949 | − | 0.0527184i | ||||
\(745\) | 221.520 | − | 368.169i | 0.297342 | − | 0.494187i | ||||
\(746\) | 461.210 | + | 486.894i | 0.618244 | + | 0.652673i | ||||
\(747\) | 105.449 | − | 138.716i | 0.141163 | − | 0.185697i | ||||
\(748\) | 73.0189 | − | 3.95897i | 0.0976188 | − | 0.00529274i | ||||
\(749\) | 1199.17 | − | 554.794i | 1.60102 | − | 0.740712i | ||||
\(750\) | −35.4852 | + | 326.281i | −0.0473137 | + | 0.435042i | ||||
\(751\) | −109.025 | + | 323.574i | −0.145173 | + | 0.430857i | −0.995428 | − | 0.0955131i | \(-0.969551\pi\) |
0.850256 | + | 0.526370i | \(0.176447\pi\) | |||||||
\(752\) | −86.2906 | + | 14.1466i | −0.114748 | + | 0.0188120i | ||||
\(753\) | 88.9242 | + | 84.2335i | 0.118093 | + | 0.111864i | ||||
\(754\) | −166.198 | − | 598.590i | −0.220422 | − | 0.793887i | ||||
\(755\) | −968.573 | + | 513.505i | −1.28288 | + | 0.680139i | ||||
\(756\) | 80.1311 | − | 26.9993i | 0.105994 | − | 0.0357134i | ||||
\(757\) | 646.727 | − | 142.355i | 0.854329 | − | 0.188052i | 0.233848 | − | 0.972273i | \(-0.424868\pi\) |
0.620481 | + | 0.784221i | \(0.286937\pi\) | |||||||
\(758\) | −156.144 | − | 43.3533i | −0.205995 | − | 0.0571943i | ||||
\(759\) | 55.0838 | − | 33.1428i | 0.0725741 | − | 0.0436664i | ||||
\(760\) | 9.03871 | + | 83.1096i | 0.0118930 | + | 0.109355i | ||||
\(761\) | 1250.67 | + | 275.292i | 1.64345 | + | 0.361751i | 0.937899 | − | 0.346908i | \(-0.112768\pi\) |
0.705551 | + | 0.708659i | \(0.250699\pi\) | |||||||
\(762\) | −295.649 | − | 156.743i | −0.387990 | − | 0.205699i | ||||
\(763\) | 272.008 | + | 44.5934i | 0.356498 | + | 0.0584449i | ||||
\(764\) | −421.357 | − | 554.286i | −0.551515 | − | 0.725505i | ||||
\(765\) | 114.600 | + | 134.917i | 0.149804 | + | 0.176362i | ||||
\(766\) | 346.422i | 0.452248i | ||||||||
\(767\) | −461.246 | + | 525.266i | −0.601364 | + | 0.684832i | ||||
\(768\) | −27.7128 | −0.0360844 | ||||||||
\(769\) | −1038.81 | + | 882.376i | −1.35086 | + | 1.14743i | −0.375502 | + | 0.926822i | \(0.622530\pi\) |
−0.975362 | + | 0.220612i | \(0.929195\pi\) | |||||||
\(770\) | 114.394 | − | 86.9603i | 0.148564 | − | 0.112935i | ||||
\(771\) | 55.5977 | − | 339.131i | 0.0721111 | − | 0.439858i | ||||
\(772\) | −119.523 | + | 225.444i | −0.154822 | + | 0.292025i | ||||
\(773\) | 46.6343 | − | 211.862i | 0.0603289 | − | 0.274077i | −0.936794 | − | 0.349882i | \(-0.886222\pi\) |
0.997123 | + | 0.0758050i | \(0.0241527\pi\) | |||||||
\(774\) | −221.343 | + | 24.0725i | −0.285973 | + | 0.0311014i | ||||
\(775\) | 47.6466 | + | 79.1893i | 0.0614795 | + | 0.102180i | ||||
\(776\) | 52.8643 | − | 190.400i | 0.0681241 | − | 0.245361i | ||||
\(777\) | −98.9218 | − | 449.406i | −0.127313 | − | 0.578387i | ||||
\(778\) | 74.9341 | + | 222.396i | 0.0963163 | + | 0.285857i | ||||
\(779\) | 45.8573 | + | 86.4960i | 0.0588668 | + | 0.111035i | ||||
\(780\) | −177.535 | + | 49.2923i | −0.227609 | + | 0.0631953i | ||||
\(781\) | −116.378 | + | 122.858i | −0.149011 | + | 0.157309i | ||||
\(782\) | −40.1248 | − | 244.750i | −0.0513105 | − | 0.312980i | ||||
\(783\) | −182.568 | − | 61.5142i | −0.233164 | − | 0.0785622i | ||||
\(784\) | −68.4100 | − | 7.44004i | −0.0872577 | − | 0.00948984i | ||||
\(785\) | −447.313 | − | 966.851i | −0.569826 | − | 1.23166i | ||||
\(786\) | −21.9114 | − | 404.133i | −0.0278771 | − | 0.514164i | ||||
\(787\) | −110.699 | − | 84.1513i | −0.140660 | − | 0.106927i | 0.532478 | − | 0.846444i | \(-0.321261\pi\) |
−0.673138 | + | 0.739517i | \(0.735054\pi\) | |||||||
\(788\) | −446.581 | + | 423.024i | −0.566727 | + | 0.536832i | ||||
\(789\) | 133.193 | + | 80.1393i | 0.168812 | + | 0.101571i | ||||
\(790\) | −15.1046 | + | 32.6480i | −0.0191197 | + | 0.0413266i | ||||
\(791\) | −922.889 | − | 367.713i | −1.16674 | − | 0.464871i | ||||
\(792\) | 13.2461 | + | 19.5366i | 0.0167249 | + | 0.0246674i | ||||
\(793\) | 77.5958 | − | 114.445i | 0.0978509 | − | 0.144319i | ||||
\(794\) | 340.230 | + | 853.913i | 0.428501 | + | 1.07546i | ||||
\(795\) | 13.6356 | − | 251.494i | 0.0171517 | − | 0.316345i | ||||
\(796\) | 160.183 | − | 188.582i | 0.201234 | − | 0.236911i | ||||
\(797\) | 747.792 | + | 635.180i | 0.938258 | + | 0.796964i | 0.979346 | − | 0.202192i | \(-0.0648064\pi\) |
−0.0410876 | + | 0.999156i | \(0.513082\pi\) | |||||||
\(798\) | −131.029 | − | 7.10417i | −0.164196 | − | 0.00890247i | ||||
\(799\) | 266.929 | − | 106.354i | 0.334079 | − | 0.133109i | ||||
\(800\) | 22.6937 | + | 15.3867i | 0.0283671 | + | 0.0192334i | ||||
\(801\) | 155.912 | − | 105.711i | 0.194647 | − | 0.131974i | ||||
\(802\) | 63.6398 | − | 159.724i | 0.0793514 | − | 0.199157i | ||||
\(803\) | −31.1408 | − | 14.4072i | −0.0387805 | − | 0.0179418i | ||||
\(804\) | 74.8627 | − | 124.423i | 0.0931128 | − | 0.154755i | ||||
\(805\) | −335.158 | − | 353.822i | −0.416345 | − | 0.439530i | ||||
\(806\) | −193.347 | + | 254.344i | −0.239885 | + | 0.315563i | ||||
\(807\) | −162.244 | + | 8.79662i | −0.201046 | + | 0.0109004i | ||||
\(808\) | 20.1146 | − | 9.30603i | 0.0248944 | − | 0.0115174i | ||||
\(809\) | −107.047 | + | 984.278i | −0.132320 | + | 1.21666i | 0.720126 | + | 0.693844i | \(0.244084\pi\) |
−0.852445 | + | 0.522816i | \(0.824881\pi\) | |||||||
\(810\) | −18.2444 | + | 54.1474i | −0.0225239 | + | 0.0668487i | ||||
\(811\) | 597.328 | − | 97.9270i | 0.736533 | − | 0.120748i | 0.218172 | − | 0.975910i | \(-0.429991\pi\) |
0.518361 | + | 0.855162i | \(0.326542\pi\) | |||||||
\(812\) | 438.023 | + | 414.917i | 0.539437 | + | 0.510982i | ||||
\(813\) | 120.828 | + | 435.184i | 0.148620 | + | 0.535282i | ||||
\(814\) | 113.489 | − | 60.1682i | 0.139422 | − | 0.0739167i | ||||
\(815\) | 128.710 | − | 43.3676i | 0.157927 | − | 0.0532117i | ||||
\(816\) | 88.9353 | − | 19.5761i | 0.108989 | − | 0.0239904i | ||||
\(817\) | 332.924 | + | 92.4359i | 0.407496 | + | 0.113141i | ||||
\(818\) | −289.638 | + | 174.269i | −0.354081 | + | 0.213043i | ||||
\(819\) | −31.2688 | − | 287.512i | −0.0381792 | − | 0.351052i | ||||
\(820\) | −130.383 | − | 28.6995i | −0.159004 | − | 0.0349994i | ||||
\(821\) | 503.047 | + | 266.699i | 0.612725 | + | 0.324846i | 0.745709 | − | 0.666272i | \(-0.232111\pi\) |
−0.132984 | + | 0.991118i | \(0.542456\pi\) | |||||||
\(822\) | 18.3040 | + | 3.00079i | 0.0222677 | + | 0.00365060i | ||||
\(823\) | −796.674 | − | 1048.01i | −0.968012 | − | 1.27340i | −0.961896 | − | 0.273417i | \(-0.911846\pi\) |
−0.00611630 | − | 0.999981i | \(-0.501947\pi\) | |||||||
\(824\) | 186.341 | + | 219.378i | 0.226142 | + | 0.266235i | ||||
\(825\) | − | 23.3528i | − | 0.0283064i | ||||||
\(826\) | 120.835 | − | 668.062i | 0.146290 | − | 0.808791i | ||||
\(827\) | 789.882 | 0.955117 | 0.477559 | − | 0.878600i | \(-0.341522\pi\) | ||||
0.477559 | + | 0.878600i | \(0.341522\pi\) | |||||||
\(828\) | 61.0153 | − | 51.8268i | 0.0736899 | − | 0.0625928i | ||||
\(829\) | 985.543 | − | 749.190i | 1.18883 | − | 0.903728i | 0.191857 | − | 0.981423i | \(-0.438549\pi\) |
0.996977 | + | 0.0776951i | \(0.0247561\pi\) | |||||||
\(830\) | 59.6564 | − | 363.888i | 0.0718751 | − | 0.438419i | ||||
\(831\) | −237.256 | + | 447.513i | −0.285507 | + | 0.538523i | ||||
\(832\) | −20.3759 | + | 92.5686i | −0.0244902 | + | 0.111260i | ||||
\(833\) | 224.795 | − | 24.4480i | 0.269862 | − | 0.0293493i | ||||
\(834\) | −103.575 | − | 172.143i | −0.124191 | − | 0.206406i | ||||
\(835\) | 116.643 | − | 420.112i | 0.139693 | − | 0.503128i | ||||
\(836\) | −7.87430 | − | 35.7733i | −0.00941902 | − | 0.0427910i | ||||
\(837\) | 31.6357 | + | 93.8914i | 0.0377965 | + | 0.112176i | ||||
\(838\) | −243.322 | − | 458.954i | −0.290361 | − | 0.547678i | ||||
\(839\) | −304.699 | + | 84.5992i | −0.363169 | + | 0.100833i | −0.444319 | − | 0.895869i | \(-0.646554\pi\) |
0.0811504 | + | 0.996702i | \(0.474141\pi\) | |||||||
\(840\) | 123.060 | − | 129.912i | 0.146499 | − | 0.154658i | ||||
\(841\) | −86.3315 | − | 526.599i | −0.102653 | − | 0.626158i | ||||
\(842\) | 517.385 | + | 174.327i | 0.614471 | + | 0.207040i | ||||
\(843\) | 207.275 | + | 22.5426i | 0.245878 | + | 0.0267409i | ||||
\(844\) | 98.8943 | + | 213.757i | 0.117173 | + | 0.253266i | ||||
\(845\) | −6.95661 | − | 128.307i | −0.00823267 | − | 0.151843i | ||||
\(846\) | 73.8351 | + | 56.1280i | 0.0872756 | + | 0.0663452i | ||||
\(847\) | 669.049 | − | 633.757i | 0.789905 | − | 0.748237i | ||||
\(848\) | −111.020 | − | 66.7987i | −0.130920 | − | 0.0787720i | ||||
\(849\) | 275.404 | − | 595.275i | 0.324386 | − | 0.701149i | ||||
\(850\) | −83.6972 | − | 33.3480i | −0.0984673 | − | 0.0392330i | ||||
\(851\) | −244.490 | − | 360.595i | −0.287297 | − | 0.423731i | ||||
\(852\) | −118.264 | + | 174.427i | −0.138808 | + | 0.204726i | ||||
\(853\) | −255.100 | − | 640.253i | −0.299062 | − | 0.750590i | −0.999326 | − | 0.0367058i | \(-0.988314\pi\) |
0.700264 | − | 0.713884i | \(-0.253066\pi\) | |||||||
\(854\) | −7.27021 | + | 134.091i | −0.00851313 | + | 0.157015i | ||||
\(855\) | 57.4043 | − | 67.5815i | 0.0671395 | − | 0.0790427i | ||||
\(856\) | 350.065 | + | 297.348i | 0.408955 | + | 0.347369i | ||||
\(857\) | −867.574 | − | 47.0385i | −1.01234 | − | 0.0548874i | −0.459502 | − | 0.888177i | \(-0.651972\pi\) |
−0.552837 | + | 0.833290i | \(0.686455\pi\) | |||||||
\(858\) | 74.9968 | − | 29.8815i | 0.0874089 | − | 0.0348269i | ||||
\(859\) | −596.429 | − | 404.389i | −0.694329 | − | 0.470767i | 0.162272 | − | 0.986746i | \(-0.448118\pi\) |
−0.856601 | + | 0.515979i | \(0.827428\pi\) | |||||||
\(860\) | −389.987 | + | 264.418i | −0.453474 | + | 0.307463i | ||||
\(861\) | 77.5639 | − | 194.671i | 0.0900858 | − | 0.226098i | ||||
\(862\) | 738.607 | + | 341.716i | 0.856853 | + | 0.396422i | ||||
\(863\) | 256.601 | − | 426.474i | 0.297336 | − | 0.494177i | −0.671790 | − | 0.740742i | \(-0.734474\pi\) |
0.969126 | + | 0.246565i | \(0.0793019\pi\) | |||||||
\(864\) | 20.2142 | + | 21.3398i | 0.0233960 | + | 0.0246989i | ||||
\(865\) | 499.735 | − | 657.390i | 0.577728 | − | 0.759988i | ||||
\(866\) | 660.507 | − | 35.8117i | 0.762711 | − | 0.0413530i | ||||
\(867\) | 182.718 | − | 84.5342i | 0.210747 | − | 0.0975020i | ||||
\(868\) | 33.5480 | − | 308.469i | 0.0386498 | − | 0.355379i | ||||
\(869\) | 5.03273 | − | 14.9366i | 0.00579140 | − | 0.0171883i | ||||
\(870\) | −402.328 | + | 65.9583i | −0.462446 | + | 0.0758142i | ||||
\(871\) | −360.564 | − | 341.545i | −0.413966 | − | 0.392129i | ||||
\(872\) | 25.6340 | + | 92.3252i | 0.0293967 | + | 0.105877i | ||||
\(873\) | −185.175 | + | 98.1733i | −0.212113 | + | 0.112455i | ||||
\(874\) | −117.732 | + | 39.6684i | −0.134704 | + | 0.0453872i | ||||
\(875\) | −1064.72 | + | 234.363i | −1.21682 | + | 0.267843i | ||||
\(876\) | −41.1715 | − | 11.4312i | −0.0469994 | − | 0.0130493i | ||||
\(877\) | −639.799 | + | 384.954i | −0.729531 | + | 0.438944i | −0.831271 | − | 0.555867i | \(-0.812386\pi\) |
0.101740 | + | 0.994811i | \(0.467559\pi\) | |||||||
\(878\) | 21.1626 | + | 194.587i | 0.0241032 | + | 0.221625i | ||||
\(879\) | 468.579 | + | 103.142i | 0.533082 | + | 0.117340i | ||||
\(880\) | 44.1325 | + | 23.3975i | 0.0501505 | + | 0.0265881i | ||||
\(881\) | 974.155 | + | 159.705i | 1.10574 | + | 0.181276i | 0.686877 | − | 0.726774i | \(-0.258981\pi\) |
0.418861 | + | 0.908050i | \(0.362430\pi\) | |||||||
\(882\) | 44.1702 | + | 58.1049i | 0.0500796 | + | 0.0658786i | ||||
\(883\) | 332.937 | + | 391.964i | 0.377052 | + | 0.443900i | 0.917655 | − | 0.397378i | \(-0.130080\pi\) |
−0.540603 | + | 0.841278i | \(0.681804\pi\) | |||||||
\(884\) | − | 311.462i | − | 0.352333i | ||||||
\(885\) | 309.969 | + | 338.199i | 0.350247 | + | 0.382146i | ||||
\(886\) | −48.3956 | −0.0546226 | ||||||||
\(887\) | 438.741 | − | 372.670i | 0.494634 | − | 0.420146i | −0.365038 | − | 0.930993i | \(-0.618944\pi\) |
0.859672 | + | 0.510847i | \(0.170668\pi\) | |||||||
\(888\) | 127.345 | − | 96.8052i | 0.143407 | − | 0.109015i | ||||
\(889\) | 179.828 | − | 1096.90i | 0.202281 | − | 1.23386i | ||||
\(890\) | 186.725 | − | 352.201i | 0.209803 | − | 0.395731i | ||||
\(891\) | 5.38190 | − | 24.4502i | 0.00604030 | − | 0.0274413i | ||||
\(892\) | 711.969 | − | 77.4313i | 0.798171 | − | 0.0868063i | ||||
\(893\) | −74.2037 | − | 123.327i | −0.0830948 | − | 0.138105i | ||||
\(894\) | −62.7211 | + | 225.901i | −0.0701578 | + | 0.252686i | ||||
\(895\) | −73.0254 | − | 331.758i | −0.0815926 | − | 0.370679i | ||||
\(896\) | −29.3931 | − | 87.2357i | −0.0328048 | − | 0.0973613i | ||||
\(897\) | −128.255 | − | 241.914i | −0.142982 | − | 0.269692i | ||||
\(898\) | 158.788 | − | 44.0873i | 0.176824 | − | 0.0490949i | ||||
\(899\) | −486.168 | + | 513.241i | −0.540787 | + | 0.570902i | ||||
\(900\) | −4.70484 | − | 28.6983i | −0.00522760 | − | 0.0318870i | ||||
\(901\) | 403.470 | + | 135.945i | 0.447802 | + | 0.150882i | ||||
\(902\) | 58.1529 | + | 6.32451i | 0.0644710 | + | 0.00701165i | ||||
\(903\) | −310.540 | − | 671.221i | −0.343898 | − | 0.743324i | ||||
\(904\) | −18.6965 | − | 344.836i | −0.0206819 | − | 0.381456i | ||||
\(905\) | −868.971 | − | 660.575i | −0.960189 | − | 0.729917i | ||||
\(906\) | 434.269 | − | 411.361i | 0.479325 | − | 0.454041i | ||||
\(907\) | −1029.92 | − | 619.680i | −1.13552 | − | 0.683219i | −0.181627 | − | 0.983368i | \(-0.558136\pi\) |
−0.953893 | + | 0.300148i | \(0.902964\pi\) | |||||||
\(908\) | 102.771 | − | 222.137i | 0.113184 | − | 0.244644i | ||||
\(909\) | −21.8379 | − | 8.70101i | −0.0240241 | − | 0.00957207i | ||||
\(910\) | −343.464 | − | 506.572i | −0.377433 | − | 0.556672i | ||||
\(911\) | −478.128 | + | 705.186i | −0.524839 | + | 0.774079i | −0.994040 | − | 0.109012i | \(-0.965231\pi\) |
0.469202 | + | 0.883091i | \(0.344542\pi\) | |||||||
\(912\) | −16.8839 | − | 42.3754i | −0.0185131 | − | 0.0464643i | ||||
\(913\) | −8.74711 | + | 161.331i | −0.00958063 | + | 0.176704i | ||||
\(914\) | −797.459 | + | 938.841i | −0.872493 | + | 1.02718i | ||||
\(915\) | −69.1611 | − | 58.7459i | −0.0755859 | − | 0.0642032i | ||||
\(916\) | 456.116 | + | 24.7299i | 0.497943 | + | 0.0269977i | ||||
\(917\) | 1248.91 | − | 497.611i | 1.36195 | − | 0.542651i | ||||
\(918\) | −79.9451 | − | 54.2041i | −0.0870862 | − | 0.0590459i | ||||
\(919\) | 136.090 | − | 92.2715i | 0.148085 | − | 0.100404i | −0.484895 | − | 0.874573i | \(-0.661142\pi\) |
0.632980 | + | 0.774168i | \(0.281832\pi\) | |||||||
\(920\) | 62.7076 | − | 157.384i | 0.0681604 | − | 0.171070i | ||||
\(921\) | −5.59693 | − | 2.58941i | −0.00607701 | − | 0.00281152i | ||||
\(922\) | −184.391 | + | 306.460i | −0.199990 | + | 0.332386i | ||||
\(923\) | 495.681 | + | 523.284i | 0.537032 | + | 0.566938i | ||||
\(924\) | −47.4488 | + | 62.4179i | −0.0513516 | + | 0.0675518i | ||||
\(925\) | −158.030 | + | 8.56812i | −0.170843 | + | 0.00926284i | ||||
\(926\) | 386.985 | − | 179.038i | 0.417910 | − | 0.193346i | ||||
\(927\) | 33.0083 | − | 303.507i | 0.0356077 | − | 0.327407i | ||||
\(928\) | −66.9682 | + | 198.755i | −0.0721640 | + | 0.214175i | ||||
\(929\) | −1276.52 | + | 209.274i | −1.37408 | + | 0.225269i | −0.803172 | − | 0.595747i | \(-0.796856\pi\) |
−0.570905 | + | 0.821016i | \(0.693408\pi\) | |||||||
\(930\) | 152.221 | + | 144.192i | 0.163679 | + | 0.155045i | ||||
\(931\) | −30.3020 | − | 109.138i | −0.0325478 | − | 0.117227i | ||||
\(932\) | −78.7505 | + | 41.7509i | −0.0844962 | + | 0.0447971i | ||||
\(933\) | 746.892 | − | 251.657i | 0.800527 | − | 0.269729i | ||||
\(934\) | −441.366 | + | 97.1520i | −0.472555 | + | 0.104017i | ||||
\(935\) | −158.157 | − | 43.9120i | −0.169152 | − | 0.0469647i | ||||
\(936\) | 86.1435 | − | 51.8308i | 0.0920336 | − | 0.0553748i | ||||
\(937\) | 127.091 | + | 1168.58i | 0.135636 | + | 1.24715i | 0.842068 | + | 0.539371i | \(0.181338\pi\) |
−0.706433 | + | 0.707780i | \(0.749697\pi\) | |||||||
\(938\) | 471.066 | + | 103.689i | 0.502203 | + | 0.110543i | ||||
\(939\) | −211.380 | − | 112.067i | −0.225112 | − | 0.119347i | ||||
\(940\) | 193.689 | + | 31.7537i | 0.206052 | + | 0.0337805i | ||||
\(941\) | −660.425 | − | 868.774i | −0.701833 | − | 0.923245i | 0.297673 | − | 0.954668i | \(-0.403789\pi\) |
−0.999506 | + | 0.0314223i | \(0.989996\pi\) | |||||||
\(942\) | 376.309 | + | 443.026i | 0.399479 | + | 0.470303i | ||||
\(943\) | − | 198.397i | − | 0.210389i | ||||||
\(944\) | 228.405 | − | 59.3890i | 0.241955 | − | 0.0629121i | ||||
\(945\) | −189.799 | −0.200845 | ||||||||
\(946\) | 157.347 | − | 133.652i | 0.166329 | − | 0.141281i | ||||
\(947\) | 1195.97 | − | 909.154i | 1.26290 | − | 0.960035i | 0.262916 | − | 0.964819i | \(-0.415316\pi\) |
0.999989 | + | 0.00478324i | \(0.00152256\pi\) | |||||||
\(948\) | 3.17547 | − | 19.3695i | 0.00334966 | − | 0.0204320i | ||||
\(949\) | −68.4549 | + | 129.120i | −0.0721337 | + | 0.136059i | ||||
\(950\) | −9.70165 | + | 44.0750i | −0.0102123 | + | 0.0463948i | ||||
\(951\) | −146.859 | + | 15.9719i | −0.154426 | + | 0.0167948i | ||||
\(952\) | 155.951 | + | 259.192i | 0.163814 | + | 0.272260i | ||||
\(953\) | −50.2418 | + | 180.954i | −0.0527196 | + | 0.189879i | −0.985221 | − | 0.171287i | \(-0.945207\pi\) |
0.932502 | + | 0.361166i | \(0.117621\pi\) | |||||||
\(954\) | 29.5426 | + | 134.213i | 0.0309671 | + | 0.140685i | ||||
\(955\) | 499.013 | + | 1481.02i | 0.522527 | + | 1.55081i | ||||
\(956\) | −309.705 | − | 584.166i | −0.323960 | − | 0.611053i | ||||
\(957\) | 172.124 | − | 47.7901i | 0.179858 | − | 0.0499374i | ||||
\(958\) | −484.454 | + | 511.431i | −0.505693 | + | 0.533853i | ||||
\(959\) | 9.96782 | + | 60.8010i | 0.0103940 | + | 0.0634004i | ||||
\(960\) | 58.9483 | + | 19.8620i | 0.0614044 | + | 0.0206896i | ||||
\(961\) | −593.927 | − | 64.5934i | −0.618030 | − | 0.0672148i | ||||
\(962\) | −229.726 | − | 496.545i | −0.238800 | − | 0.516159i | ||||
\(963\) | −26.3747 | − | 486.453i | −0.0273881 | − | 0.505143i | ||||
\(964\) | −425.695 | − | 323.605i | −0.441592 | − | 0.335690i | ||||
\(965\) | 415.815 | − | 393.881i | 0.430897 | − | 0.408167i | ||||
\(966\) | 227.858 | + | 137.098i | 0.235878 | + | 0.141923i | ||||
\(967\) | 76.6097 | − | 165.589i | 0.0792241 | − | 0.171240i | −0.863916 | − | 0.503636i | \(-0.831995\pi\) |
0.943140 | + | 0.332396i | \(0.107857\pi\) | |||||||
\(968\) | 297.601 | + | 118.575i | 0.307439 | + | 0.122495i | ||||
\(969\) | 84.1171 | + | 124.063i | 0.0868082 | + | 0.128033i | ||||
\(970\) | −248.909 | + | 367.114i | −0.256608 | + | 0.378468i | ||||
\(971\) | 114.950 | + | 288.502i | 0.118383 | + | 0.297118i | 0.976213 | − | 0.216816i | \(-0.0695671\pi\) |
−0.857830 | + | 0.513934i | \(0.828188\pi\) | |||||||
\(972\) | 1.68788 | − | 31.1312i | 0.00173651 | − | 0.0320280i | ||||
\(973\) | 432.025 | − | 508.619i | 0.444013 | − | 0.522733i | ||||
\(974\) | −59.1943 | − | 50.2801i | −0.0607744 | − | 0.0516222i | ||||
\(975\) | −99.3195 | − | 5.38495i | −0.101866 | − | 0.00552302i | ||||
\(976\) | −43.3658 | + | 17.2785i | −0.0444322 | + | 0.0177034i | ||||
\(977\) | 266.015 | + | 180.363i | 0.272278 | + | 0.184609i | 0.689683 | − | 0.724112i | \(-0.257750\pi\) |
−0.417405 | + | 0.908721i | \(0.637060\pi\) | |||||||
\(978\) | −61.3389 | + | 41.5888i | −0.0627187 | + | 0.0425243i | ||||
\(979\) | −64.6503 | + | 162.260i | −0.0660371 | + | 0.165741i | ||||
\(980\) | 140.183 | + | 64.8558i | 0.143044 | + | 0.0661794i | ||||
\(981\) | 52.3958 | − | 87.0824i | 0.0534106 | − | 0.0887690i | ||||
\(982\) | 262.007 | + | 276.597i | 0.266810 | + | 0.281667i | ||||
\(983\) | 911.310 | − | 1198.81i | 0.927070 | − | 1.21954i | −0.0482708 | − | 0.998834i | \(-0.515371\pi\) |
0.975341 | − | 0.220705i | \(-0.0708358\pi\) | |||||||
\(984\) | 72.7383 | − | 3.94376i | 0.0739210 | − | 0.00400788i | ||||
\(985\) | 1253.11 | − | 579.751i | 1.27219 | − | 0.588580i | ||||
\(986\) | 74.5140 | − | 685.144i | 0.0755720 | − | 0.694873i | ||||
\(987\) | −98.3704 | + | 291.953i | −0.0996661 | + | 0.295798i | ||||
\(988\) | −153.960 | + | 25.2404i | −0.155830 | + | 0.0255470i | ||||
\(989\) | −508.342 | − | 481.527i | −0.513996 | − | 0.486883i | ||||
\(990\) | −14.1740 | − | 51.0501i | −0.0143171 | − | 0.0515657i | ||||
\(991\) | −1227.01 | + | 650.521i | −1.23816 | + | 0.656429i | −0.953266 | − | 0.302132i | \(-0.902302\pi\) |
−0.284890 | + | 0.958560i | \(0.591957\pi\) | |||||||
\(992\) | 102.216 | − | 34.4406i | 0.103040 | − | 0.0347183i | ||||
\(993\) | −462.317 | + | 101.764i | −0.465576 | + | 0.102481i | ||||
\(994\) | −674.505 | − | 187.275i | −0.678576 | − | 0.188406i | ||||
\(995\) | −475.884 | + | 286.330i | −0.478276 | + | 0.287769i | ||||
\(996\) | 21.7537 | + | 200.022i | 0.0218411 | + | 0.200825i | ||||
\(997\) | 791.374 | + | 174.195i | 0.793755 | + | 0.174719i | 0.593297 | − | 0.804984i | \(-0.297826\pi\) |
0.200458 | + | 0.979702i | \(0.435757\pi\) | |||||||
\(998\) | 207.519 | + | 110.020i | 0.207935 | + | 0.110240i | ||||
\(999\) | −167.431 | − | 27.4489i | −0.167598 | − | 0.0274764i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 354.3.f.a.13.2 | ✓ | 560 | |
59.50 | odd | 58 | inner | 354.3.f.a.109.2 | yes | 560 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
354.3.f.a.13.2 | ✓ | 560 | 1.1 | even | 1 | trivial | |
354.3.f.a.109.2 | yes | 560 | 59.50 | odd | 58 | inner |