Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [483,2,Mod(10,483)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(483, base_ring=CyclotomicField(66))
chi = DirichletCharacter(H, H._module([0, 11, 9]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("483.10");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 483 = 3 \cdot 7 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 483.bf (of order \(66\), degree \(20\), 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: | \(3.85677441763\) |
Analytic rank: | \(0\) |
Dimension: | \(640\) |
Relative dimension: | \(32\) over \(\Q(\zeta_{66})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{66}]$ |
Embedding invariants
Embedding label | 145.29 | ||
Character | \(\chi\) | \(=\) | 483.145 |
Dual form | 483.2.bf.a.10.29 |
$q$-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 \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).
\(n\) | \(323\) | \(346\) | \(442\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{5}{6}\right)\) | \(e\left(\frac{19}{22}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.761915 | + | 2.20141i | 0.538755 | + | 1.55663i | 0.805336 | + | 0.592818i | \(0.201985\pi\) |
−0.266581 | + | 0.963812i | \(0.585894\pi\) | |||||||
\(3\) | 0.458227 | − | 0.888835i | 0.264557 | − | 0.513169i | ||||
\(4\) | −2.69358 | + | 2.11825i | −1.34679 | + | 1.05913i | ||||
\(5\) | 0.293147 | + | 0.0279922i | 0.131099 | + | 0.0125185i | 0.160399 | − | 0.987052i | \(-0.448722\pi\) |
−0.0293000 | + | 0.999571i | \(0.509328\pi\) | |||||||
\(6\) | 2.30582 | + | 0.331527i | 0.941347 | + | 0.135345i | ||||
\(7\) | 2.64245 | − | 0.132130i | 0.998752 | − | 0.0499404i | ||||
\(8\) | −2.79597 | − | 1.79686i | −0.988523 | − | 0.635285i | ||||
\(9\) | −0.580057 | − | 0.814576i | −0.193352 | − | 0.271525i | ||||
\(10\) | 0.161731 | + | 0.666665i | 0.0511439 | + | 0.210818i | ||||
\(11\) | 3.62298 | + | 1.25392i | 1.09237 | + | 0.378072i | 0.813090 | − | 0.582138i | \(-0.197784\pi\) |
0.279278 | + | 0.960210i | \(0.409905\pi\) | |||||||
\(12\) | 0.648510 | + | 3.36479i | 0.187209 | + | 0.971331i | ||||
\(13\) | 0.269748 | − | 0.918678i | 0.0748147 | − | 0.254796i | −0.913590 | − | 0.406636i | \(-0.866702\pi\) |
0.988405 | + | 0.151840i | \(0.0485200\pi\) | |||||||
\(14\) | 2.30419 | + | 5.71644i | 0.615822 | + | 1.52778i | ||||
\(15\) | 0.159208 | − | 0.247733i | 0.0411074 | − | 0.0639644i | ||||
\(16\) | 0.209575 | − | 0.863878i | 0.0523937 | − | 0.215970i | ||||
\(17\) | −5.89142 | + | 2.35857i | −1.42888 | + | 0.572037i | −0.951772 | − | 0.306807i | \(-0.900739\pi\) |
−0.477108 | + | 0.878844i | \(0.658315\pi\) | |||||||
\(18\) | 1.35126 | − | 1.89758i | 0.318495 | − | 0.447264i | ||||
\(19\) | 6.87516 | + | 2.75240i | 1.57727 | + | 0.631444i | 0.984729 | − | 0.174096i | \(-0.0557003\pi\) |
0.592542 | + | 0.805540i | \(0.298125\pi\) | |||||||
\(20\) | −0.848910 | + | 0.545561i | −0.189822 | + | 0.121991i | ||||
\(21\) | 1.09340 | − | 2.40925i | 0.238599 | − | 0.525741i | ||||
\(22\) | 8.93103i | 1.90410i | ||||||||
\(23\) | −4.65407 | − | 1.15742i | −0.970441 | − | 0.241340i | ||||
\(24\) | −2.87830 | + | 1.66179i | −0.587530 | + | 0.339211i | ||||
\(25\) | −4.82449 | − | 0.929845i | −0.964898 | − | 0.185969i | ||||
\(26\) | 2.22791 | − | 0.106128i | 0.436929 | − | 0.0208135i | ||||
\(27\) | −0.989821 | + | 0.142315i | −0.190491 | + | 0.0273885i | ||||
\(28\) | −6.83776 | + | 5.95328i | −1.29222 | + | 1.12506i | ||||
\(29\) | 0.806382 | − | 5.60851i | 0.149741 | − | 1.04147i | −0.766901 | − | 0.641765i | \(-0.778202\pi\) |
0.916642 | − | 0.399708i | \(-0.130889\pi\) | |||||||
\(30\) | 0.666665 | + | 0.161731i | 0.121716 | + | 0.0295279i | ||||
\(31\) | 7.80134 | + | 0.371623i | 1.40116 | + | 0.0667455i | 0.734497 | − | 0.678612i | \(-0.237418\pi\) |
0.666665 | + | 0.745358i | \(0.267721\pi\) | |||||||
\(32\) | −4.55562 | + | 0.435009i | −0.805327 | + | 0.0768994i | ||||
\(33\) | 2.77468 | − | 2.64565i | 0.483009 | − | 0.460548i | ||||
\(34\) | −9.68094 | − | 11.1724i | −1.66027 | − | 1.91605i | ||||
\(35\) | 0.778326 | + | 0.0352344i | 0.131561 | + | 0.00595570i | ||||
\(36\) | 3.28791 | + | 0.965417i | 0.547985 | + | 0.160903i | ||||
\(37\) | −5.92195 | + | 4.21700i | −0.973563 | + | 0.693271i | −0.951873 | − | 0.306494i | \(-0.900844\pi\) |
−0.0216901 | + | 0.999765i | \(0.506905\pi\) | |||||||
\(38\) | −0.820868 | + | 17.2321i | −0.133162 | + | 2.79542i | ||||
\(39\) | −0.692948 | − | 0.660725i | −0.110960 | − | 0.105801i | ||||
\(40\) | −0.769332 | − | 0.605009i | −0.121642 | − | 0.0956604i | ||||
\(41\) | 1.00238 | − | 0.457770i | 0.156545 | − | 0.0714917i | −0.335602 | − | 0.942004i | \(-0.608940\pi\) |
0.492147 | + | 0.870512i | \(0.336212\pi\) | |||||||
\(42\) | 6.13682 | + | 0.571375i | 0.946931 | + | 0.0881651i | ||||
\(43\) | −4.84633 | − | 7.54104i | −0.739059 | − | 1.15000i | −0.983601 | − | 0.180359i | \(-0.942274\pi\) |
0.244542 | − | 0.969639i | \(-0.421362\pi\) | |||||||
\(44\) | −12.4149 | + | 4.29684i | −1.87162 | + | 0.647773i | ||||
\(45\) | −0.147240 | − | 0.255028i | −0.0219493 | − | 0.0380173i | ||||
\(46\) | −0.998042 | − | 11.1274i | −0.147153 | − | 1.64064i | ||||
\(47\) | 4.82632 | + | 2.78648i | 0.703991 | + | 0.406450i | 0.808832 | − | 0.588039i | \(-0.200100\pi\) |
−0.104841 | + | 0.994489i | \(0.533433\pi\) | |||||||
\(48\) | −0.671813 | − | 0.582129i | −0.0969679 | − | 0.0840231i | ||||
\(49\) | 6.96508 | − | 0.698294i | 0.995012 | − | 0.0997562i | ||||
\(50\) | −1.62888 | − | 11.3291i | −0.230359 | − | 1.60218i | ||||
\(51\) | −0.603226 | + | 6.31727i | −0.0844685 | + | 0.884594i | ||||
\(52\) | 1.21941 | + | 3.04593i | 0.169101 | + | 0.422394i | ||||
\(53\) | −3.35501 | + | 3.51863i | −0.460846 | + | 0.483322i | −0.912619 | − | 0.408811i | \(-0.865943\pi\) |
0.451773 | + | 0.892133i | \(0.350792\pi\) | |||||||
\(54\) | −1.06745 | − | 2.07057i | −0.145262 | − | 0.281769i | ||||
\(55\) | 1.02697 | + | 0.468999i | 0.138476 | + | 0.0632399i | ||||
\(56\) | −7.62562 | − | 4.37868i | −1.01902 | − | 0.585125i | ||||
\(57\) | 5.59681 | − | 4.84967i | 0.741316 | − | 0.642354i | ||||
\(58\) | 12.9610 | − | 2.49803i | 1.70186 | − | 0.328007i | ||||
\(59\) | −6.04028 | + | 1.46536i | −0.786377 | + | 0.190773i | −0.608789 | − | 0.793332i | \(-0.708345\pi\) |
−0.177588 | + | 0.984105i | \(0.556829\pi\) | |||||||
\(60\) | 0.0959211 | + | 1.00453i | 0.0123834 | + | 0.129684i | ||||
\(61\) | 12.8981 | − | 6.64944i | 1.65144 | − | 0.851374i | 0.656124 | − | 0.754654i | \(-0.272195\pi\) |
0.995312 | − | 0.0967205i | \(-0.0308353\pi\) | |||||||
\(62\) | 5.12586 | + | 17.4571i | 0.650985 | + | 2.21705i | ||||
\(63\) | −1.64040 | − | 2.07583i | −0.206671 | − | 0.261530i | ||||
\(64\) | −5.16718 | − | 11.3145i | −0.645897 | − | 1.41432i | ||||
\(65\) | 0.104792 | − | 0.261757i | 0.0129978 | − | 0.0324670i | ||||
\(66\) | 7.93822 | + | 4.09244i | 0.977127 | + | 0.503744i | ||||
\(67\) | 2.31448 | − | 12.0086i | 0.282758 | − | 1.46709i | −0.511381 | − | 0.859354i | \(-0.670866\pi\) |
0.794140 | − | 0.607735i | \(-0.207922\pi\) | |||||||
\(68\) | 10.8730 | − | 18.8325i | 1.31854 | − | 2.28378i | ||||
\(69\) | −3.16138 | + | 3.60634i | −0.380585 | + | 0.434152i | ||||
\(70\) | 0.515453 | + | 1.74026i | 0.0616084 | + | 0.208001i | ||||
\(71\) | −5.34550 | + | 6.16904i | −0.634394 | + | 0.732130i | −0.978373 | − | 0.206847i | \(-0.933680\pi\) |
0.343979 | + | 0.938977i | \(0.388225\pi\) | |||||||
\(72\) | 0.158142 | + | 3.31981i | 0.0186372 | + | 0.391243i | ||||
\(73\) | −5.18603 | − | 6.59457i | −0.606979 | − | 0.771836i | 0.381308 | − | 0.924448i | \(-0.375474\pi\) |
−0.988286 | + | 0.152612i | \(0.951231\pi\) | |||||||
\(74\) | −13.7954 | − | 9.82364i | −1.60368 | − | 1.14197i | ||||
\(75\) | −3.03719 | + | 3.86210i | −0.350704 | + | 0.445957i | ||||
\(76\) | −24.3491 | + | 7.14953i | −2.79303 | + | 0.820108i | ||||
\(77\) | 9.73921 | + | 2.83473i | 1.10989 | + | 0.323047i | ||||
\(78\) | 0.926557 | − | 2.02888i | 0.104912 | − | 0.229725i | ||||
\(79\) | −6.46968 | − | 6.78520i | −0.727896 | − | 0.763395i | 0.250949 | − | 0.968000i | \(-0.419257\pi\) |
−0.978845 | + | 0.204605i | \(0.934409\pi\) | |||||||
\(80\) | 0.0856181 | − | 0.247377i | 0.00957239 | − | 0.0276576i | ||||
\(81\) | −0.327068 | + | 0.945001i | −0.0363409 | + | 0.105000i | ||||
\(82\) | 1.77147 | + | 1.85786i | 0.195626 | + | 0.205166i | ||||
\(83\) | 5.68349 | − | 12.4451i | 0.623844 | − | 1.36603i | −0.288846 | − | 0.957376i | \(-0.593271\pi\) |
0.912690 | − | 0.408653i | \(-0.134001\pi\) | |||||||
\(84\) | 2.15824 | + | 8.80560i | 0.235484 | + | 0.960769i | ||||
\(85\) | −1.79308 | + | 0.526495i | −0.194486 | + | 0.0571064i | ||||
\(86\) | 12.9084 | − | 16.4144i | 1.39195 | − | 1.77001i | ||||
\(87\) | −4.61553 | − | 3.28671i | −0.494837 | − | 0.352372i | ||||
\(88\) | −7.87659 | − | 10.0159i | −0.839648 | − | 1.06770i | ||||
\(89\) | −0.0342359 | − | 0.718699i | −0.00362899 | − | 0.0761820i | 0.996326 | − | 0.0856383i | \(-0.0272929\pi\) |
−0.999955 | + | 0.00945633i | \(0.996990\pi\) | |||||||
\(90\) | 0.449236 | − | 0.518446i | 0.0473536 | − | 0.0546490i | ||||
\(91\) | 0.591411 | − | 2.46320i | 0.0619968 | − | 0.258214i | ||||
\(92\) | 14.9878 | − | 6.74089i | 1.56259 | − | 0.702786i | ||||
\(93\) | 3.90509 | − | 6.76382i | 0.404939 | − | 0.701375i | ||||
\(94\) | −2.45693 | + | 12.7478i | −0.253413 | + | 1.31483i | ||||
\(95\) | 1.93839 | + | 0.999309i | 0.198875 | + | 0.102527i | ||||
\(96\) | −1.70085 | + | 4.24853i | −0.173593 | + | 0.433613i | ||||
\(97\) | −3.88567 | − | 8.50844i | −0.394530 | − | 0.863901i | −0.997796 | − | 0.0663603i | \(-0.978861\pi\) |
0.603265 | − | 0.797540i | \(-0.293866\pi\) | |||||||
\(98\) | 6.84403 | + | 14.8010i | 0.691351 | + | 1.49512i | ||||
\(99\) | −1.08012 | − | 3.67854i | −0.108556 | − | 0.369707i | ||||
\(100\) | 14.9648 | − | 7.71489i | 1.49648 | − | 0.771489i | ||||
\(101\) | 0.421705 | + | 4.41629i | 0.0419612 | + | 0.439438i | 0.991902 | + | 0.127007i | \(0.0405371\pi\) |
−0.949941 | + | 0.312431i | \(0.898857\pi\) | |||||||
\(102\) | −14.3665 | + | 3.48527i | −1.42249 | + | 0.345093i | ||||
\(103\) | −10.9634 | + | 2.11302i | −1.08025 | + | 0.208202i | −0.698175 | − | 0.715927i | \(-0.746004\pi\) |
−0.382080 | + | 0.924129i | \(0.624792\pi\) | |||||||
\(104\) | −2.40494 | + | 2.08389i | −0.235824 | + | 0.204343i | ||||
\(105\) | 0.387967 | − | 0.675658i | 0.0378617 | − | 0.0659375i | ||||
\(106\) | −10.3022 | − | 4.70485i | −1.00064 | − | 0.456975i | ||||
\(107\) | 3.99084 | + | 7.74115i | 0.385809 | + | 0.748365i | 0.999140 | − | 0.0414606i | \(-0.0132011\pi\) |
−0.613331 | + | 0.789826i | \(0.710171\pi\) | |||||||
\(108\) | 2.36470 | − | 2.48003i | 0.227544 | − | 0.238641i | ||||
\(109\) | 3.95111 | + | 9.86940i | 0.378448 | + | 0.945317i | 0.988261 | + | 0.152772i | \(0.0488200\pi\) |
−0.609814 | + | 0.792545i | \(0.708756\pi\) | |||||||
\(110\) | −0.249999 | + | 2.61811i | −0.0238365 | + | 0.249627i | ||||
\(111\) | 1.03463 | + | 7.19598i | 0.0982024 | + | 0.683012i | ||||
\(112\) | 0.439646 | − | 2.31045i | 0.0415427 | − | 0.218317i | ||||
\(113\) | 2.07327 | + | 1.79650i | 0.195037 | + | 0.169000i | 0.746905 | − | 0.664931i | \(-0.231539\pi\) |
−0.551868 | + | 0.833932i | \(0.686085\pi\) | |||||||
\(114\) | 14.9404 | + | 8.62584i | 1.39930 | + | 0.807884i | ||||
\(115\) | −1.33193 | − | 0.469573i | −0.124203 | − | 0.0437879i | ||||
\(116\) | 9.70819 | + | 16.8151i | 0.901383 | + | 1.56124i | ||||
\(117\) | −0.904803 | + | 0.313155i | −0.0836490 | + | 0.0289512i | ||||
\(118\) | −7.82803 | − | 12.1806i | −0.720628 | − | 1.12132i | ||||
\(119\) | −15.2562 | + | 7.01084i | −1.39853 | + | 0.642682i | ||||
\(120\) | −0.890282 | + | 0.406578i | −0.0812713 | + | 0.0371153i | ||||
\(121\) | 2.90705 | + | 2.28613i | 0.264277 | + | 0.207830i | ||||
\(122\) | 24.4654 | + | 23.3277i | 2.21499 | + | 2.11199i | ||||
\(123\) | 0.0524333 | − | 1.10071i | 0.00472775 | − | 0.0992478i | ||||
\(124\) | −21.8007 | + | 15.5242i | −1.95776 | + | 1.39412i | ||||
\(125\) | −2.80102 | − | 0.822453i | −0.250531 | − | 0.0735625i | ||||
\(126\) | 3.31991 | − | 5.19280i | 0.295761 | − | 0.462611i | ||||
\(127\) | 3.92383 | + | 4.52834i | 0.348184 | + | 0.401825i | 0.902646 | − | 0.430383i | \(-0.141622\pi\) |
−0.554463 | + | 0.832209i | \(0.687076\pi\) | |||||||
\(128\) | 14.3469 | − | 13.6797i | 1.26810 | − | 1.20913i | ||||
\(129\) | −8.92346 | + | 0.852087i | −0.785667 | + | 0.0750221i | ||||
\(130\) | 0.656077 | + | 0.0312528i | 0.0575418 | + | 0.00274105i | ||||
\(131\) | −8.01044 | − | 1.94331i | −0.699875 | − | 0.169788i | −0.129994 | − | 0.991515i | \(-0.541496\pi\) |
−0.569881 | + | 0.821727i | \(0.693011\pi\) | |||||||
\(132\) | −1.86965 | + | 13.0037i | −0.162732 | + | 1.13183i | ||||
\(133\) | 18.5309 | + | 6.36466i | 1.60684 | + | 0.551886i | ||||
\(134\) | 28.1994 | − | 4.05446i | 2.43605 | − | 0.350252i | ||||
\(135\) | −0.294147 | + | 0.0140120i | −0.0253162 | + | 0.00120596i | ||||
\(136\) | 20.7102 | + | 3.99157i | 1.77589 | + | 0.342274i | ||||
\(137\) | −5.80675 | + | 3.35253i | −0.496104 | + | 0.286426i | −0.727103 | − | 0.686528i | \(-0.759134\pi\) |
0.230999 | + | 0.972954i | \(0.425800\pi\) | |||||||
\(138\) | −10.3477 | − | 4.21176i | −0.880857 | − | 0.358529i | ||||
\(139\) | 9.54236i | 0.809372i | 0.914456 | + | 0.404686i | \(0.132619\pi\) | ||||
−0.914456 | + | 0.404686i | \(0.867381\pi\) | |||||||
\(140\) | −2.17112 | + | 1.55378i | −0.183493 | + | 0.131319i | ||||
\(141\) | 4.68827 | − | 3.01297i | 0.394824 | − | 0.253738i | ||||
\(142\) | −17.6534 | − | 7.06735i | −1.48144 | − | 0.593079i | ||||
\(143\) | 2.12924 | − | 2.99011i | 0.178056 | − | 0.250045i | ||||
\(144\) | −0.825260 | + | 0.330384i | −0.0687716 | + | 0.0275320i | ||||
\(145\) | 0.393383 | − | 1.62155i | 0.0326687 | − | 0.134662i | ||||
\(146\) | 10.5660 | − | 16.4411i | 0.874451 | − | 1.36067i | ||||
\(147\) | 2.57092 | − | 6.51079i | 0.212046 | − | 0.537001i | ||||
\(148\) | 7.01856 | − | 23.9030i | 0.576922 | − | 1.96482i | ||||
\(149\) | −1.65477 | − | 8.58574i | −0.135564 | − | 0.703371i | −0.984570 | − | 0.174989i | \(-0.944011\pi\) |
0.849007 | − | 0.528382i | \(-0.177201\pi\) | |||||||
\(150\) | −10.8161 | − | 3.74350i | −0.883134 | − | 0.305656i | ||||
\(151\) | −3.26174 | − | 13.4451i | −0.265436 | − | 1.09414i | −0.935918 | − | 0.352217i | \(-0.885428\pi\) |
0.670482 | − | 0.741926i | \(-0.266087\pi\) | |||||||
\(152\) | −14.2770 | − | 20.0493i | −1.15802 | − | 1.62621i | ||||
\(153\) | 5.33860 | + | 3.43091i | 0.431600 | + | 0.277372i | ||||
\(154\) | 1.18006 | + | 23.5998i | 0.0950917 | + | 1.90173i | ||||
\(155\) | 2.27654 | + | 0.327317i | 0.182856 | + | 0.0262907i | ||||
\(156\) | 3.26609 | + | 0.311874i | 0.261497 | + | 0.0249699i | ||||
\(157\) | 2.90454 | − | 2.28415i | 0.231807 | − | 0.182295i | −0.495498 | − | 0.868609i | \(-0.665015\pi\) |
0.727306 | + | 0.686313i | \(0.240772\pi\) | |||||||
\(158\) | 10.0077 | − | 19.4122i | 0.796167 | − | 1.54435i | ||||
\(159\) | 1.59013 | + | 4.59438i | 0.126106 | + | 0.364358i | ||||
\(160\) | −1.34764 | −0.106541 | ||||||||
\(161\) | −12.4511 | − | 2.44349i | −0.981282 | − | 0.192574i | ||||
\(162\) | −2.32953 | −0.183025 | ||||||||
\(163\) | 3.61163 | + | 10.4351i | 0.282885 | + | 0.817342i | 0.993507 | + | 0.113768i | \(0.0362922\pi\) |
−0.710622 | + | 0.703574i | \(0.751587\pi\) | |||||||
\(164\) | −1.73031 | + | 3.35633i | −0.135114 | + | 0.262085i | ||||
\(165\) | 0.887446 | − | 0.697895i | 0.0690876 | − | 0.0543311i | ||||
\(166\) | 31.7271 | + | 3.02957i | 2.46250 | + | 0.235140i | ||||
\(167\) | −10.0201 | − | 1.44067i | −0.775377 | − | 0.111482i | −0.256744 | − | 0.966479i | \(-0.582650\pi\) |
−0.518633 | + | 0.854997i | \(0.673559\pi\) | |||||||
\(168\) | −7.38619 | + | 4.77150i | −0.569857 | + | 0.368129i | ||||
\(169\) | 10.1651 | + | 6.53271i | 0.781930 | + | 0.502516i | ||||
\(170\) | −2.52520 | − | 3.54615i | −0.193674 | − | 0.271977i | ||||
\(171\) | −1.74595 | − | 7.19689i | −0.133516 | − | 0.550360i | ||||
\(172\) | 29.0278 | + | 10.0466i | 2.21335 | + | 0.766048i | ||||
\(173\) | −0.299288 | − | 1.55285i | −0.0227545 | − | 0.118061i | 0.968775 | − | 0.247940i | \(-0.0797535\pi\) |
−0.991530 | + | 0.129878i | \(0.958541\pi\) | |||||||
\(174\) | 3.71874 | − | 12.6649i | 0.281917 | − | 0.960121i | ||||
\(175\) | −12.8713 | − | 1.81961i | −0.972982 | − | 0.137549i | ||||
\(176\) | 1.84252 | − | 2.86702i | 0.138885 | − | 0.216110i | ||||
\(177\) | −1.46536 | + | 6.04028i | −0.110143 | + | 0.454015i | ||||
\(178\) | 1.55607 | − | 0.622955i | 0.116632 | − | 0.0466924i | ||||
\(179\) | 5.70023 | − | 8.00486i | 0.426055 | − | 0.598311i | −0.544627 | − | 0.838679i | \(-0.683329\pi\) |
0.970682 | + | 0.240368i | \(0.0772680\pi\) | |||||||
\(180\) | 0.936817 | + | 0.375045i | 0.0698262 | + | 0.0279542i | ||||
\(181\) | 1.82816 | − | 1.17489i | 0.135886 | − | 0.0873288i | −0.470932 | − | 0.882170i | \(-0.656082\pi\) |
0.606818 | + | 0.794841i | \(0.292446\pi\) | |||||||
\(182\) | 5.87312 | − | 0.574813i | 0.435345 | − | 0.0426080i | ||||
\(183\) | − | 14.5113i | − | 1.07270i | ||||||
\(184\) | 10.9329 | + | 11.5988i | 0.805984 | + | 0.855077i | ||||
\(185\) | −1.85405 | + | 1.07043i | −0.136312 | + | 0.0786999i | ||||
\(186\) | 17.8653 | + | 3.44325i | 1.30994 | + | 0.252471i | ||||
\(187\) | −24.3020 | + | 1.15764i | −1.77713 | + | 0.0846554i | ||||
\(188\) | −18.9025 | + | 2.71778i | −1.37861 | + | 0.198214i | ||||
\(189\) | −2.59675 | + | 0.506845i | −0.188886 | + | 0.0368675i | ||||
\(190\) | −0.723000 | + | 5.02858i | −0.0524519 | + | 0.364811i | ||||
\(191\) | −20.1304 | − | 4.88358i | −1.45659 | − | 0.353364i | −0.572197 | − | 0.820116i | \(-0.693909\pi\) |
−0.884388 | + | 0.466752i | \(0.845424\pi\) | |||||||
\(192\) | −12.4245 | − | 0.591852i | −0.896662 | − | 0.0427133i | ||||
\(193\) | −5.13129 | + | 0.489979i | −0.369359 | + | 0.0352695i | −0.278085 | − | 0.960556i | \(-0.589700\pi\) |
−0.0912733 | + | 0.995826i | \(0.529094\pi\) | |||||||
\(194\) | 15.7700 | − | 15.0367i | 1.13222 | − | 1.07957i | ||||
\(195\) | −0.184641 | − | 0.213087i | −0.0132224 | − | 0.0152595i | ||||
\(196\) | −17.2818 | + | 16.6347i | −1.23442 | + | 1.18819i | ||||
\(197\) | −10.8641 | − | 3.18999i | −0.774035 | − | 0.227277i | −0.129220 | − | 0.991616i | \(-0.541247\pi\) |
−0.644815 | + | 0.764339i | \(0.723066\pi\) | |||||||
\(198\) | 7.27500 | − | 5.18051i | 0.517012 | − | 0.368163i | ||||
\(199\) | −0.230378 | + | 4.83623i | −0.0163311 | + | 0.342831i | 0.975884 | + | 0.218292i | \(0.0700484\pi\) |
−0.992215 | + | 0.124540i | \(0.960255\pi\) | |||||||
\(200\) | 11.8183 | + | 11.2687i | 0.835681 | + | 0.796820i | ||||
\(201\) | −9.61315 | − | 7.55987i | −0.678060 | − | 0.533232i | ||||
\(202\) | −9.40076 | + | 4.29318i | −0.661435 | + | 0.302067i | ||||
\(203\) | 1.38977 | − | 14.9267i | 0.0975428 | − | 1.04765i | ||||
\(204\) | −11.7567 | − | 18.2938i | −0.823136 | − | 1.28082i | ||||
\(205\) | 0.306658 | − | 0.106135i | 0.0214179 | − | 0.00741282i | ||||
\(206\) | −13.0048 | − | 22.5249i | −0.906086 | − | 1.56939i | ||||
\(207\) | 1.75682 | + | 4.46247i | 0.122107 | + | 0.310163i | ||||
\(208\) | −0.737094 | − | 0.425561i | −0.0511083 | − | 0.0295074i | ||||
\(209\) | 21.4572 | + | 18.5928i | 1.48423 | + | 1.28609i | ||||
\(210\) | 1.78300 | + | 0.339280i | 0.123038 | + | 0.0234125i | ||||
\(211\) | 1.54638 | + | 10.7553i | 0.106457 | + | 0.740424i | 0.971210 | + | 0.238226i | \(0.0765660\pi\) |
−0.864753 | + | 0.502198i | \(0.832525\pi\) | |||||||
\(212\) | 1.58363 | − | 16.5845i | 0.108764 | − | 1.13903i | ||||
\(213\) | 3.03381 | + | 7.57809i | 0.207873 | + | 0.519242i | ||||
\(214\) | −14.0008 | + | 14.6836i | −0.957072 | + | 1.00375i | ||||
\(215\) | −1.20960 | − | 2.34630i | −0.0824940 | − | 0.160016i | ||||
\(216\) | 3.02323 | + | 1.38066i | 0.205705 | + | 0.0939421i | ||||
\(217\) | 20.6637 | − | 0.0487938i | 1.40275 | − | 0.00331234i | ||||
\(218\) | −18.7162 | + | 16.2177i | −1.26762 | + | 1.09840i | ||||
\(219\) | −8.23786 | + | 1.58772i | −0.556663 | + | 0.107288i | ||||
\(220\) | −3.75967 | + | 0.912087i | −0.253477 | + | 0.0614929i | ||||
\(221\) | 0.577566 | + | 6.04854i | 0.0388513 | + | 0.406869i | ||||
\(222\) | −15.0530 | + | 7.76036i | −1.01029 | + | 0.520841i | ||||
\(223\) | −0.0951166 | − | 0.323937i | −0.00636948 | − | 0.0216925i | 0.956247 | − | 0.292561i | \(-0.0945074\pi\) |
−0.962616 | + | 0.270868i | \(0.912689\pi\) | |||||||
\(224\) | −11.9805 | + | 1.75142i | −0.800482 | + | 0.117022i | ||||
\(225\) | 2.04105 | + | 4.46928i | 0.136070 | + | 0.297952i | ||||
\(226\) | −2.37517 | + | 5.93289i | −0.157994 | + | 0.394650i | ||||
\(227\) | 19.7220 | + | 10.1674i | 1.30899 | + | 0.674833i | 0.964532 | − | 0.263967i | \(-0.0850311\pi\) |
0.344462 | + | 0.938800i | \(0.388061\pi\) | |||||||
\(228\) | −4.80263 | + | 24.9184i | −0.318062 | + | 1.65026i | ||||
\(229\) | −3.40149 | + | 5.89156i | −0.224777 | + | 0.389325i | −0.956252 | − | 0.292543i | \(-0.905499\pi\) |
0.731476 | + | 0.681868i | \(0.238832\pi\) | |||||||
\(230\) | 0.0189060 | − | 3.28990i | 0.00124662 | − | 0.216929i | ||||
\(231\) | 6.98237 | − | 7.35761i | 0.459406 | − | 0.484095i | ||||
\(232\) | −12.3323 | + | 14.2322i | −0.809656 | + | 0.934393i | ||||
\(233\) | 1.01379 | + | 21.2820i | 0.0664153 | + | 1.39423i | 0.748587 | + | 0.663037i | \(0.230733\pi\) |
−0.682171 | + | 0.731192i | \(0.738964\pi\) | |||||||
\(234\) | −1.37876 | − | 1.75324i | −0.0901327 | − | 0.114613i | ||||
\(235\) | 1.33682 | + | 0.951948i | 0.0872048 | + | 0.0620982i | ||||
\(236\) | 13.1660 | − | 16.7419i | 0.857032 | − | 1.08980i | ||||
\(237\) | −8.99551 | + | 2.64132i | −0.584321 | + | 0.171572i | ||||
\(238\) | −27.0576 | − | 28.2434i | −1.75388 | − | 1.83075i | ||||
\(239\) | −2.71005 | + | 5.93419i | −0.175299 | + | 0.383851i | −0.976803 | − | 0.214138i | \(-0.931306\pi\) |
0.801505 | + | 0.597988i | \(0.204033\pi\) | |||||||
\(240\) | −0.180645 | − | 0.189455i | −0.0116606 | − | 0.0122293i | ||||
\(241\) | 9.48663 | − | 27.4098i | 0.611087 | − | 1.76562i | −0.0316097 | − | 0.999500i | \(-0.510063\pi\) |
0.642697 | − | 0.766120i | \(-0.277815\pi\) | |||||||
\(242\) | −2.81778 | + | 8.14143i | −0.181133 | + | 0.523351i | ||||
\(243\) | 0.690079 | + | 0.723734i | 0.0442686 | + | 0.0464276i | ||||
\(244\) | −20.6569 | + | 45.2323i | −1.32242 | + | 2.89570i | ||||
\(245\) | 2.06134 | − | 0.00973505i | 0.131694 | − | 0.000621950i | ||||
\(246\) | 2.46306 | − | 0.723221i | 0.157039 | − | 0.0461109i | ||||
\(247\) | 4.38313 | − | 5.57361i | 0.278892 | − | 0.354640i | ||||
\(248\) | −21.1445 | − | 15.0569i | −1.34268 | − | 0.956117i | ||||
\(249\) | −8.45733 | − | 10.7544i | −0.535961 | − | 0.681530i | ||||
\(250\) | −0.323582 | − | 6.79283i | −0.0204651 | − | 0.429616i | ||||
\(251\) | −10.3405 | + | 11.9336i | −0.652688 | + | 0.753242i | −0.981565 | − | 0.191131i | \(-0.938785\pi\) |
0.328877 | + | 0.944373i | \(0.393330\pi\) | |||||||
\(252\) | 8.81569 | + | 2.11663i | 0.555336 | + | 0.133335i | ||||
\(253\) | −15.4103 | − | 10.0292i | −0.968835 | − | 0.630529i | ||||
\(254\) | −6.97910 | + | 12.0882i | −0.437908 | + | 0.758479i | ||||
\(255\) | −0.353668 | + | 1.83500i | −0.0221475 | + | 0.114912i | ||||
\(256\) | 18.9340 | + | 9.76116i | 1.18338 | + | 0.610073i | ||||
\(257\) | −3.87750 | + | 9.68552i | −0.241872 | + | 0.604166i | −0.998781 | − | 0.0493533i | \(-0.984284\pi\) |
0.756910 | + | 0.653519i | \(0.226708\pi\) | |||||||
\(258\) | −8.67471 | − | 18.9950i | −0.540064 | − | 1.18258i | ||||
\(259\) | −15.0913 | + | 11.9257i | −0.937726 | + | 0.741026i | ||||
\(260\) | 0.272203 | + | 0.927039i | 0.0168813 | + | 0.0574925i | ||||
\(261\) | −5.03630 | + | 2.59639i | −0.311739 | + | 0.160713i | ||||
\(262\) | −1.82525 | − | 19.1149i | −0.112764 | − | 1.18092i | ||||
\(263\) | −2.32574 | + | 0.564218i | −0.143411 | + | 0.0347912i | −0.306822 | − | 0.951767i | \(-0.599266\pi\) |
0.163411 | + | 0.986558i | \(0.447750\pi\) | |||||||
\(264\) | −12.5118 | + | 2.41144i | −0.770045 | + | 0.148414i | ||||
\(265\) | −1.08201 | + | 0.937564i | −0.0664671 | + | 0.0575941i | ||||
\(266\) | 0.107779 | + | 45.6435i | 0.00660836 | + | 2.79858i | ||||
\(267\) | −0.654493 | − | 0.298897i | −0.0400543 | − | 0.0182922i | ||||
\(268\) | 19.2031 | + | 37.2489i | 1.17302 | + | 2.27534i | ||||
\(269\) | 4.93605 | − | 5.17678i | 0.300957 | − | 0.315634i | −0.555839 | − | 0.831290i | \(-0.687603\pi\) |
0.856796 | + | 0.515656i | \(0.172452\pi\) | |||||||
\(270\) | −0.254961 | − | 0.636862i | −0.0155164 | − | 0.0387582i | ||||
\(271\) | −1.19175 | + | 12.4806i | −0.0723939 | + | 0.758143i | 0.884275 | + | 0.466966i | \(0.154653\pi\) |
−0.956669 | + | 0.291177i | \(0.905953\pi\) | |||||||
\(272\) | 0.802825 | + | 5.58377i | 0.0486784 | + | 0.338566i | ||||
\(273\) | −1.91838 | − | 1.65437i | −0.116106 | − | 0.100127i | ||||
\(274\) | −11.8045 | − | 10.2287i | −0.713137 | − | 0.617937i | ||||
\(275\) | −16.3131 | − | 9.41835i | −0.983715 | − | 0.567948i | ||||
\(276\) | 0.876277 | − | 16.4106i | 0.0527457 | − | 0.987800i | ||||
\(277\) | 1.93862 | + | 3.35778i | 0.116480 | + | 0.201750i | 0.918370 | − | 0.395722i | \(-0.129506\pi\) |
−0.801890 | + | 0.597471i | \(0.796172\pi\) | |||||||
\(278\) | −21.0066 | + | 7.27047i | −1.25989 | + | 0.436054i | ||||
\(279\) | −4.22250 | − | 6.57034i | −0.252795 | − | 0.393356i | ||||
\(280\) | −2.11286 | − | 1.49706i | −0.126268 | − | 0.0894662i | ||||
\(281\) | −8.22994 | + | 3.75849i | −0.490957 | + | 0.224213i | −0.645481 | − | 0.763776i | \(-0.723343\pi\) |
0.154524 | + | 0.987989i | \(0.450616\pi\) | |||||||
\(282\) | 10.2048 | + | 8.02517i | 0.607689 | + | 0.477892i | ||||
\(283\) | −13.7078 | − | 13.0704i | −0.814844 | − | 0.776953i | 0.162924 | − | 0.986639i | \(-0.447907\pi\) |
−0.977769 | + | 0.209686i | \(0.932756\pi\) | |||||||
\(284\) | 1.33094 | − | 27.9399i | 0.0789769 | − | 1.65793i | ||||
\(285\) | 1.77644 | − | 1.26500i | 0.105227 | − | 0.0749321i | ||||
\(286\) | 8.20475 | + | 2.40913i | 0.485157 | + | 0.142455i | ||||
\(287\) | 2.58825 | − | 1.34208i | 0.152779 | − | 0.0792204i | ||||
\(288\) | 2.99687 | + | 3.45857i | 0.176592 | + | 0.203798i | ||||
\(289\) | 16.8425 | − | 16.0593i | 0.990737 | − | 0.944666i | ||||
\(290\) | 3.86941 | − | 0.369484i | 0.227220 | − | 0.0216968i | ||||
\(291\) | −9.34312 | − | 0.445068i | −0.547703 | − | 0.0260903i | ||||
\(292\) | 27.9379 | + | 6.77767i | 1.63494 | + | 0.396633i | ||||
\(293\) | 2.10516 | − | 14.6417i | 0.122985 | − | 0.855377i | −0.831160 | − | 0.556033i | \(-0.812323\pi\) |
0.954145 | − | 0.299345i | \(-0.0967680\pi\) | |||||||
\(294\) | 16.2917 | + | 0.698973i | 0.950153 | + | 0.0407649i | ||||
\(295\) | −1.81171 | + | 0.260485i | −0.105482 | + | 0.0151660i | ||||
\(296\) | 24.1349 | − | 1.14969i | 1.40281 | − | 0.0668243i | ||||
\(297\) | −3.76455 | − | 0.725558i | −0.218441 | − | 0.0421011i | ||||
\(298\) | 17.6399 | − | 10.1844i | 1.02185 | − | 0.589968i | ||||
\(299\) | −2.31873 | + | 3.96338i | −0.134095 | + | 0.229208i | ||||
\(300\) | − | 16.8364i | − | 0.972050i | ||||||
\(301\) | −13.8026 | − | 19.2865i | −0.795568 | − | 1.11165i | ||||
\(302\) | 27.1129 | − | 17.4244i | 1.56017 | − | 1.00266i | ||||
\(303\) | 4.11859 | + | 1.64884i | 0.236607 | + | 0.0947232i | ||||
\(304\) | 3.81860 | − | 5.36247i | 0.219012 | − | 0.307559i | ||||
\(305\) | 3.96718 | − | 1.58822i | 0.227160 | − | 0.0909412i | ||||
\(306\) | −3.48527 | + | 14.3665i | −0.199240 | + | 0.821277i | ||||
\(307\) | 0.522094 | − | 0.812394i | 0.0297975 | − | 0.0463658i | −0.826035 | − | 0.563618i | \(-0.809409\pi\) |
0.855833 | + | 0.517253i | \(0.173045\pi\) | |||||||
\(308\) | −32.2380 | + | 12.9946i | −1.83693 | + | 0.740434i | ||||
\(309\) | −3.14559 | + | 10.7129i | −0.178946 | + | 0.609435i | ||||
\(310\) | 1.01397 | + | 5.26098i | 0.0575896 | + | 0.298803i | ||||
\(311\) | 3.15268 | + | 1.09115i | 0.178772 | + | 0.0618736i | 0.414988 | − | 0.909827i | \(-0.363786\pi\) |
−0.236216 | + | 0.971701i | \(0.575907\pi\) | |||||||
\(312\) | 0.750231 | + | 3.09249i | 0.0424735 | + | 0.175078i | ||||
\(313\) | 10.5711 | + | 14.8450i | 0.597511 | + | 0.839087i | 0.996980 | − | 0.0776597i | \(-0.0247448\pi\) |
−0.399469 | + | 0.916747i | \(0.630805\pi\) | |||||||
\(314\) | 7.24137 | + | 4.65374i | 0.408654 | + | 0.262626i | ||||
\(315\) | −0.422772 | − | 0.654443i | −0.0238205 | − | 0.0368737i | ||||
\(316\) | 31.7994 | + | 4.57206i | 1.78885 | + | 0.257198i | ||||
\(317\) | −28.9499 | − | 2.76438i | −1.62599 | − | 0.155263i | −0.758139 | − | 0.652093i | \(-0.773891\pi\) |
−0.867848 | + | 0.496830i | \(0.834497\pi\) | |||||||
\(318\) | −8.90257 | + | 7.00106i | −0.499231 | + | 0.392600i | ||||
\(319\) | 9.95414 | − | 19.3083i | 0.557325 | − | 1.08106i | ||||
\(320\) | −1.19803 | − | 3.46147i | −0.0669717 | − | 0.193502i | ||||
\(321\) | 8.70932 | 0.486107 | ||||||||
\(322\) | −4.10753 | − | 29.2716i | −0.228904 | − | 1.63124i | ||||
\(323\) | −46.9962 | −2.61494 | ||||||||
\(324\) | −1.12077 | − | 3.23825i | −0.0622649 | − | 0.179903i | ||||
\(325\) | −2.15563 | + | 4.18133i | −0.119573 | + | 0.231939i | ||||
\(326\) | −20.2202 | + | 15.9014i | −1.11989 | + | 0.880694i | ||||
\(327\) | 10.5828 | + | 1.01053i | 0.585229 | + | 0.0558826i | ||||
\(328\) | −3.62516 | − | 0.521219i | −0.200166 | − | 0.0287795i | ||||
\(329\) | 13.1215 | + | 6.72543i | 0.723411 | + | 0.370785i | ||||
\(330\) | 2.21251 | + | 1.42189i | 0.121795 | + | 0.0782727i | ||||
\(331\) | 17.8769 | + | 25.1046i | 0.982603 | + | 1.37987i | 0.924339 | + | 0.381572i | \(0.124617\pi\) |
0.0582637 | + | 0.998301i | \(0.481444\pi\) | |||||||
\(332\) | 11.0530 | + | 45.5610i | 0.606610 | + | 2.50048i | ||||
\(333\) | 6.87014 | + | 2.37778i | 0.376481 | + | 0.130301i | ||||
\(334\) | −4.46295 | − | 23.1560i | −0.244202 | − | 1.26704i | ||||
\(335\) | 1.01463 | − | 3.45551i | 0.0554352 | − | 0.188795i | ||||
\(336\) | −1.85215 | − | 1.44948i | −0.101043 | − | 0.0790757i | ||||
\(337\) | 3.59916 | − | 5.60040i | 0.196059 | − | 0.305073i | −0.729280 | − | 0.684216i | \(-0.760145\pi\) |
0.925338 | + | 0.379143i | \(0.123781\pi\) | |||||||
\(338\) | −6.63622 | + | 27.3549i | −0.360963 | + | 1.48791i | ||||
\(339\) | 2.54682 | − | 1.01959i | 0.138324 | − | 0.0553767i | ||||
\(340\) | 3.71454 | − | 5.21634i | 0.201449 | − | 0.282896i | ||||
\(341\) | 27.7981 | + | 11.1287i | 1.50535 | + | 0.602651i | ||||
\(342\) | 14.5130 | − | 9.32696i | 0.784775 | − | 0.504344i | ||||
\(343\) | 18.3126 | − | 2.76550i | 0.988788 | − | 0.149323i | ||||
\(344\) | 29.7927i | 1.60631i | ||||||||
\(345\) | −1.02770 | + | 0.968695i | −0.0553294 | + | 0.0521528i | ||||
\(346\) | 3.19043 | − | 1.84200i | 0.171519 | − | 0.0990264i | ||||
\(347\) | 31.0961 | + | 5.99328i | 1.66933 | + | 0.321736i | 0.934350 | − | 0.356357i | \(-0.115981\pi\) |
0.734976 | + | 0.678093i | \(0.237193\pi\) | |||||||
\(348\) | 19.3944 | − | 0.923868i | 1.03965 | − | 0.0495245i | ||||
\(349\) | −8.91783 | + | 1.28219i | −0.477360 | + | 0.0686341i | −0.376796 | − | 0.926296i | \(-0.622974\pi\) |
−0.100565 | + | 0.994931i | \(0.532065\pi\) | |||||||
\(350\) | −5.80116 | − | 29.7215i | −0.310085 | − | 1.58868i | ||||
\(351\) | −0.136261 | + | 0.947717i | −0.00727308 | + | 0.0505854i | ||||
\(352\) | −17.0504 | − | 4.13637i | −0.908787 | − | 0.220469i | ||||
\(353\) | 30.2644 | + | 1.44167i | 1.61081 | + | 0.0767324i | 0.833549 | − | 0.552445i | \(-0.186305\pi\) |
0.777261 | + | 0.629178i | \(0.216608\pi\) | |||||||
\(354\) | −14.4136 | + | 1.37633i | −0.766074 | + | 0.0731512i | ||||
\(355\) | −1.73970 | + | 1.65880i | −0.0923339 | + | 0.0880402i | ||||
\(356\) | 1.61460 | + | 1.86335i | 0.0855738 | + | 0.0987575i | ||||
\(357\) | −0.759294 | + | 16.7728i | −0.0401861 | + | 0.887709i | ||||
\(358\) | 21.9650 | + | 6.44952i | 1.16089 | + | 0.340868i | ||||
\(359\) | 25.0446 | − | 17.8341i | 1.32180 | − | 0.941250i | 0.321817 | − | 0.946802i | \(-0.395707\pi\) |
0.999985 | + | 0.00555160i | \(0.00176714\pi\) | |||||||
\(360\) | −0.0465697 | + | 0.977619i | −0.00245444 | + | 0.0515251i | ||||
\(361\) | 25.9412 | + | 24.7349i | 1.36533 | + | 1.30184i | ||||
\(362\) | 3.97932 | + | 3.12937i | 0.209148 | + | 0.164476i | ||||
\(363\) | 3.36407 | − | 1.53632i | 0.176568 | − | 0.0806360i | ||||
\(364\) | 3.62468 | + | 7.88759i | 0.189985 | + | 0.413422i | ||||
\(365\) | −1.33567 | − | 2.07835i | −0.0699124 | − | 0.108786i | ||||
\(366\) | 31.9452 | − | 11.0563i | 1.66980 | − | 0.577924i | ||||
\(367\) | −0.404825 | − | 0.701177i | −0.0211317 | − | 0.0366012i | 0.855266 | − | 0.518189i | \(-0.173394\pi\) |
−0.876398 | + | 0.481588i | \(0.840060\pi\) | |||||||
\(368\) | −1.97525 | + | 3.77798i | −0.102967 | + | 0.196941i | ||||
\(369\) | −0.954324 | − | 0.550979i | −0.0496801 | − | 0.0286828i | ||||
\(370\) | −3.76909 | − | 3.26593i | −0.195946 | − | 0.169788i | ||||
\(371\) | −8.40053 | + | 9.74111i | −0.436134 | + | 0.505733i | ||||
\(372\) | 3.80881 | + | 26.4908i | 0.197477 | + | 1.37349i | ||||
\(373\) | −3.37632 | + | 35.3584i | −0.174819 | + | 1.83079i | 0.303766 | + | 0.952747i | \(0.401756\pi\) |
−0.478585 | + | 0.878041i | \(0.658850\pi\) | |||||||
\(374\) | −21.0645 | − | 52.6165i | −1.08922 | − | 2.72073i | ||||
\(375\) | −2.01453 | + | 2.11278i | −0.104030 | + | 0.109103i | ||||
\(376\) | −8.48733 | − | 16.4631i | −0.437700 | − | 0.849021i | ||||
\(377\) | −4.93489 | − | 2.25369i | −0.254160 | − | 0.116071i | ||||
\(378\) | −3.09427 | − | 5.33033i | −0.159152 | − | 0.274163i | ||||
\(379\) | −15.0795 | + | 13.0664i | −0.774580 | + | 0.671177i | −0.949627 | − | 0.313383i | \(-0.898538\pi\) |
0.175047 | + | 0.984560i | \(0.443992\pi\) | |||||||
\(380\) | −7.33799 | + | 1.41428i | −0.376431 | + | 0.0725512i | ||||
\(381\) | 5.82295 | − | 1.41263i | 0.298319 | − | 0.0723714i | ||||
\(382\) | −4.58689 | − | 48.0361i | −0.234686 | − | 2.45774i | ||||
\(383\) | 16.4401 | − | 8.47548i | 0.840051 | − | 0.433077i | 0.0161906 | − | 0.999869i | \(-0.494846\pi\) |
0.823861 | + | 0.566792i | \(0.191816\pi\) | |||||||
\(384\) | −5.58490 | − | 19.0204i | −0.285003 | − | 0.970632i | ||||
\(385\) | 2.77567 | + | 1.10361i | 0.141461 | + | 0.0562454i | ||||
\(386\) | −4.98825 | − | 10.9227i | −0.253895 | − | 0.555953i | ||||
\(387\) | −3.33160 | + | 8.32194i | −0.169355 | + | 0.423028i | ||||
\(388\) | 28.4894 | + | 14.6873i | 1.44633 | + | 0.745635i | ||||
\(389\) | 0.715907 | − | 3.71448i | 0.0362979 | − | 0.188332i | −0.959254 | − | 0.282545i | \(-0.908821\pi\) |
0.995552 | + | 0.0942132i | \(0.0300335\pi\) | |||||||
\(390\) | 0.328410 | − | 0.568824i | 0.0166297 | − | 0.0288035i | ||||
\(391\) | 30.1490 | − | 4.15807i | 1.52470 | − | 0.210283i | ||||
\(392\) | −20.7289 | − | 10.5629i | −1.04697 | − | 0.533505i | ||||
\(393\) | −5.39788 | + | 6.22949i | −0.272287 | + | 0.314236i | ||||
\(394\) | −1.25505 | − | 26.3468i | −0.0632287 | − | 1.32733i | ||||
\(395\) | −1.70664 | − | 2.17016i | −0.0858702 | − | 0.109193i | ||||
\(396\) | 10.7014 | + | 7.62047i | 0.537768 | + | 0.382943i | ||||
\(397\) | −4.21281 | + | 5.35702i | −0.211435 | + | 0.268861i | −0.880190 | − | 0.474622i | \(-0.842585\pi\) |
0.668755 | + | 0.743483i | \(0.266827\pi\) | |||||||
\(398\) | −10.8220 | + | 3.17764i | −0.542460 | + | 0.159281i | ||||
\(399\) | 14.1485 | − | 13.5545i | 0.708311 | − | 0.678574i | ||||
\(400\) | −1.81436 | + | 3.97290i | −0.0907182 | + | 0.198645i | ||||
\(401\) | 13.5459 | + | 14.2065i | 0.676451 | + | 0.709441i | 0.969069 | − | 0.246788i | \(-0.0793752\pi\) |
−0.292619 | + | 0.956229i | \(0.594527\pi\) | |||||||
\(402\) | 9.31795 | − | 26.9225i | 0.464737 | − | 1.34277i | ||||
\(403\) | 2.44580 | − | 7.06667i | 0.121834 | − | 0.352016i | ||||
\(404\) | −10.4907 | − | 11.0024i | −0.521933 | − | 0.547388i | ||||
\(405\) | −0.122332 | + | 0.267869i | −0.00607871 | + | 0.0133105i | ||||
\(406\) | 33.9188 | − | 8.31346i | 1.68336 | − | 0.412590i | ||||
\(407\) | −26.7429 | + | 7.85242i | −1.32560 | + | 0.389230i | ||||
\(408\) | 13.0378 | − | 16.5790i | 0.645469 | − | 0.820780i | ||||
\(409\) | 22.3371 | + | 15.9062i | 1.10450 | + | 0.786511i | 0.978649 | − | 0.205538i | \(-0.0658943\pi\) |
0.125852 | + | 0.992049i | \(0.459834\pi\) | |||||||
\(410\) | 0.467295 | + | 0.594214i | 0.0230780 | + | 0.0293461i | ||||
\(411\) | 0.319039 | + | 6.69746i | 0.0157370 | + | 0.330361i | ||||
\(412\) | 25.0548 | − | 28.9148i | 1.23436 | − | 1.42453i | ||||
\(413\) | −15.7675 | + | 4.67023i | −0.775869 | + | 0.229807i | ||||
\(414\) | −8.48517 | + | 7.26749i | −0.417023 | + | 0.357178i | ||||
\(415\) | 2.01447 | − | 3.48916i | 0.0988862 | − | 0.171276i | ||||
\(416\) | −0.829237 | + | 4.30249i | −0.0406567 | + | 0.210947i | ||||
\(417\) | 8.48159 | + | 4.37256i | 0.415345 | + | 0.214125i | ||||
\(418\) | −24.5818 | + | 61.4023i | −1.20233 | + | 3.00328i | ||||
\(419\) | −12.5269 | − | 27.4302i | −0.611981 | − | 1.34005i | −0.921211 | − | 0.389064i | \(-0.872798\pi\) |
0.309229 | − | 0.950987i | \(-0.399929\pi\) | |||||||
\(420\) | 0.386196 | + | 2.64175i | 0.0188444 | + | 0.128904i | ||||
\(421\) | −5.31917 | − | 18.1154i | −0.259240 | − | 0.882891i | −0.981531 | − | 0.191302i | \(-0.938729\pi\) |
0.722291 | − | 0.691589i | \(-0.243089\pi\) | |||||||
\(422\) | −22.4986 | + | 11.5988i | −1.09521 | + | 0.564622i | ||||
\(423\) | −0.529743 | − | 5.54772i | −0.0257570 | − | 0.269739i | ||||
\(424\) | 15.7030 | − | 3.80950i | 0.762604 | − | 0.185006i | ||||
\(425\) | 30.6162 | − | 5.90079i | 1.48511 | − | 0.286231i | ||||
\(426\) | −14.3710 | + | 12.4525i | −0.696275 | + | 0.603326i | ||||
\(427\) | 33.2040 | − | 19.2750i | 1.60686 | − | 0.932785i | ||||
\(428\) | −27.1474 | − | 12.3978i | −1.31222 | − | 0.599270i | ||||
\(429\) | −1.68204 | − | 3.26269i | −0.0812094 | − | 0.157524i | ||||
\(430\) | 4.24354 | − | 4.45050i | 0.204642 | − | 0.214622i | ||||
\(431\) | −2.18578 | − | 5.45981i | −0.105285 | − | 0.262990i | 0.866366 | − | 0.499410i | \(-0.166450\pi\) |
−0.971651 | + | 0.236421i | \(0.924026\pi\) | |||||||
\(432\) | −0.0844987 | + | 0.884911i | −0.00406545 | + | 0.0425753i | ||||
\(433\) | 2.55931 | + | 17.8004i | 0.122993 | + | 0.855432i | 0.954136 | + | 0.299374i | \(0.0967777\pi\) |
−0.831143 | + | 0.556058i | \(0.812313\pi\) | |||||||
\(434\) | 15.8514 | + | 45.4522i | 0.760893 | + | 2.18177i | ||||
\(435\) | −1.26103 | − | 1.09269i | −0.0604617 | − | 0.0523904i | ||||
\(436\) | −31.5485 | − | 18.2145i | −1.51090 | − | 0.872318i | ||||
\(437\) | −28.8118 | − | 20.7673i | −1.37825 | − | 0.993437i | ||||
\(438\) | −9.77177 | − | 16.9252i | −0.466913 | − | 0.808717i | ||||
\(439\) | −13.1082 | + | 4.53680i | −0.625622 | + | 0.216530i | −0.621440 | − | 0.783461i | \(-0.713452\pi\) |
−0.00418150 | + | 0.999991i | \(0.501331\pi\) | |||||||
\(440\) | −2.02864 | − | 3.15662i | −0.0967114 | − | 0.150486i | ||||
\(441\) | −4.60896 | − | 5.26854i | −0.219474 | − | 0.250883i | ||||
\(442\) | −12.8753 | + | 5.87993i | −0.612413 | + | 0.279680i | ||||
\(443\) | −4.46416 | − | 3.51066i | −0.212099 | − | 0.166796i | 0.506458 | − | 0.862265i | \(-0.330955\pi\) |
−0.718557 | + | 0.695468i | \(0.755197\pi\) | |||||||
\(444\) | −18.0298 | − | 17.1913i | −0.855655 | − | 0.815865i | ||||
\(445\) | 0.0100818 | − | 0.211643i | 0.000477923 | − | 0.0100328i | ||||
\(446\) | 0.640648 | − | 0.456203i | 0.0303356 | − | 0.0216019i | ||||
\(447\) | −8.38957 | − | 2.46340i | −0.396813 | − | 0.116515i | ||||
\(448\) | −15.1490 | − | 29.2154i | −0.715723 | − | 1.38030i | ||||
\(449\) | 13.2552 | + | 15.2973i | 0.625550 | + | 0.721923i | 0.976751 | − | 0.214377i | \(-0.0687722\pi\) |
−0.351201 | + | 0.936300i | \(0.614227\pi\) | |||||||
\(450\) | −8.28360 | + | 7.89840i | −0.390493 | + | 0.372334i | ||||
\(451\) | 4.20560 | − | 0.401586i | 0.198034 | − | 0.0189099i | ||||
\(452\) | −9.38996 | − | 0.447299i | −0.441666 | − | 0.0210392i | ||||
\(453\) | −13.4451 | − | 3.26174i | −0.631704 | − | 0.153250i | ||||
\(454\) | −7.35610 | + | 51.1628i | −0.345239 | + | 2.40119i | ||||
\(455\) | 0.242321 | − | 0.705526i | 0.0113602 | − | 0.0330756i | ||||
\(456\) | −24.3627 | + | 3.50282i | −1.14089 | + | 0.164035i | ||||
\(457\) | 12.2911 | − | 0.585496i | 0.574952 | − | 0.0273884i | 0.241907 | − | 0.970299i | \(-0.422227\pi\) |
0.333045 | + | 0.942911i | \(0.391924\pi\) | |||||||
\(458\) | −15.5614 | − | 2.99921i | −0.727135 | − | 0.140144i | ||||
\(459\) | 5.49580 | − | 3.17300i | 0.256522 | − | 0.148103i | ||||
\(460\) | 4.58233 | − | 1.55653i | 0.213652 | − | 0.0725736i | ||||
\(461\) | 27.3884i | 1.27561i | 0.770200 | + | 0.637803i | \(0.220156\pi\) | ||||
−0.770200 | + | 0.637803i | \(0.779844\pi\) | |||||||
\(462\) | 21.5171 | + | 9.76518i | 1.00107 | + | 0.454317i | ||||
\(463\) | 25.0119 | − | 16.0742i | 1.16240 | − | 0.747031i | 0.190332 | − | 0.981720i | \(-0.439044\pi\) |
0.972070 | + | 0.234689i | \(0.0754073\pi\) | |||||||
\(464\) | −4.67607 | − | 1.87202i | −0.217081 | − | 0.0869062i | ||||
\(465\) | 1.33410 | − | 1.87348i | 0.0618674 | − | 0.0868807i | ||||
\(466\) | −46.0779 | + | 18.4468i | −2.13452 | + | 0.854532i | ||||
\(467\) | −4.38764 | + | 18.0861i | −0.203036 | + | 0.836925i | 0.775584 | + | 0.631245i | \(0.217456\pi\) |
−0.978619 | + | 0.205680i | \(0.934059\pi\) | |||||||
\(468\) | 1.77381 | − | 2.76011i | 0.0819946 | − | 0.127586i | ||||
\(469\) | 4.52919 | − | 32.0380i | 0.209138 | − | 1.47938i | ||||
\(470\) | −1.07708 | + | 3.66820i | −0.0496820 | + | 0.169201i | ||||
\(471\) | −0.699301 | − | 3.62832i | −0.0322221 | − | 0.167184i | ||||
\(472\) | 19.5215 | + | 6.75644i | 0.898548 | + | 0.310990i | ||||
\(473\) | −8.10225 | − | 33.3979i | −0.372542 | − | 1.53564i | ||||
\(474\) | −12.6684 | − | 17.7903i | −0.581880 | − | 0.817137i | ||||
\(475\) | −30.6099 | − | 19.6718i | −1.40448 | − | 0.902602i | ||||
\(476\) | 26.2429 | − | 51.2006i | 1.20284 | − | 2.34678i | ||||
\(477\) | 4.81229 | + | 0.691903i | 0.220340 | + | 0.0316801i | ||||
\(478\) | −15.1284 | − | 1.44459i | −0.691957 | − | 0.0660739i | ||||
\(479\) | −13.1059 | + | 10.3066i | −0.598824 | + | 0.470920i | −0.870970 | − | 0.491336i | \(-0.836509\pi\) |
0.272147 | + | 0.962256i | \(0.412266\pi\) | |||||||
\(480\) | −0.617526 | + | 1.19783i | −0.0281861 | + | 0.0546734i | ||||
\(481\) | 2.27663 | + | 6.57790i | 0.103805 | + | 0.299926i | ||||
\(482\) | 67.5682 | 3.07765 | ||||||||
\(483\) | −7.87728 | + | 9.94729i | −0.358429 | + | 0.452617i | ||||
\(484\) | −12.6729 | −0.576043 | ||||||||
\(485\) | −0.900905 | − | 2.60299i | −0.0409080 | − | 0.118196i | ||||
\(486\) | −1.06745 | + | 2.07057i | −0.0484206 | + | 0.0939229i | ||||
\(487\) | 13.6090 | − | 10.7022i | 0.616681 | − | 0.484963i | −0.260275 | − | 0.965535i | \(-0.583813\pi\) |
0.876956 | + | 0.480571i | \(0.159571\pi\) | |||||||
\(488\) | −48.0108 | − | 4.58448i | −2.17335 | − | 0.207530i | ||||
\(489\) | 10.9301 | + | 1.57150i | 0.494274 | + | 0.0710659i | ||||
\(490\) | 1.59200 | + | 4.53044i | 0.0719191 | + | 0.204664i | ||||
\(491\) | −4.38910 | − | 2.82070i | −0.198077 | − | 0.127296i | 0.437843 | − | 0.899052i | \(-0.355743\pi\) |
−0.635920 | + | 0.771755i | \(0.719379\pi\) | |||||||
\(492\) | 2.19035 | + | 3.07592i | 0.0987487 | + | 0.138673i | ||||
\(493\) | 8.47732 | + | 34.9440i | 0.381799 | + | 1.57380i | ||||
\(494\) | 15.6094 | + | 5.40245i | 0.702298 | + | 0.243068i | ||||
\(495\) | −0.213663 | − | 1.10859i | −0.00960343 | − | 0.0498273i | ||||
\(496\) | 1.95600 | − | 6.66152i | 0.0878270 | − | 0.299111i | ||||
\(497\) | −13.3101 | + | 17.0077i | −0.597040 | + | 0.762899i | ||||
\(498\) | 17.2310 | − | 26.8119i | 0.772139 | − | 1.20147i | ||||
\(499\) | −8.72033 | + | 35.9457i | −0.390375 | + | 1.60915i | 0.349860 | + | 0.936802i | \(0.386229\pi\) |
−0.740236 | + | 0.672348i | \(0.765286\pi\) | |||||||
\(500\) | 9.28693 | − | 3.71793i | 0.415324 | − | 0.166271i | ||||
\(501\) | −5.87199 | + | 8.24605i | −0.262341 | + | 0.368406i | ||||
\(502\) | −34.1493 | − | 13.6713i | −1.52416 | − | 0.610181i | ||||
\(503\) | 1.37457 | − | 0.883382i | 0.0612890 | − | 0.0393881i | −0.509637 | − | 0.860389i | \(-0.670220\pi\) |
0.570927 | + | 0.821001i | \(0.306584\pi\) | |||||||
\(504\) | 0.856528 | + | 8.75153i | 0.0381528 | + | 0.389824i | ||||
\(505\) | 1.30643i | 0.0581353i | ||||||||
\(506\) | 10.3370 | − | 41.5657i | 0.459535 | − | 1.84782i | ||||
\(507\) | 10.4644 | − | 6.04163i | 0.464741 | − | 0.268318i | ||||
\(508\) | −20.1613 | − | 3.88578i | −0.894514 | − | 0.172403i | ||||
\(509\) | 15.8021 | − | 0.752745i | 0.700414 | − | 0.0333648i | 0.305646 | − | 0.952145i | \(-0.401128\pi\) |
0.394769 | + | 0.918781i | \(0.370825\pi\) | |||||||
\(510\) | −4.30906 | + | 0.619549i | −0.190808 | + | 0.0274341i | ||||
\(511\) | −14.5752 | − | 16.7406i | −0.644767 | − | 0.740560i | ||||
\(512\) | −1.41987 | + | 9.87541i | −0.0627499 | + | 0.436435i | ||||
\(513\) | −7.19689 | − | 1.74595i | −0.317750 | − | 0.0770854i | ||||
\(514\) | −24.2761 | − | 1.15641i | −1.07077 | − | 0.0510072i | ||||
\(515\) | −3.27303 | + | 0.312537i | −0.144227 | + | 0.0137720i | ||||
\(516\) | 22.2311 | − | 21.1973i | 0.978670 | − | 0.933160i | ||||
\(517\) | 13.9916 | + | 16.1472i | 0.615351 | + | 0.710152i | ||||
\(518\) | −37.7516 | − | 24.1357i | −1.65871 | − | 1.06046i | ||||
\(519\) | −1.51737 | − | 0.445541i | −0.0666053 | − | 0.0195571i | ||||
\(520\) | −0.763335 | + | 0.543568i | −0.0334745 | + | 0.0238370i | ||||
\(521\) | 1.56079 | − | 32.7650i | 0.0683794 | − | 1.43546i | −0.660504 | − | 0.750822i | \(-0.729657\pi\) |
0.728883 | − | 0.684638i | \(-0.240040\pi\) | |||||||
\(522\) | −9.55296 | − | 9.10873i | −0.418122 | − | 0.398678i | ||||
\(523\) | 10.2761 | + | 8.08124i | 0.449344 | + | 0.353368i | 0.817043 | − | 0.576577i | \(-0.195612\pi\) |
−0.367699 | + | 0.929945i | \(0.619854\pi\) | |||||||
\(524\) | 25.6932 | − | 11.7337i | 1.12241 | − | 0.512588i | ||||
\(525\) | −7.51532 | + | 10.6067i | −0.327995 | + | 0.462915i | ||||
\(526\) | −3.01409 | − | 4.69001i | −0.131420 | − | 0.204494i | ||||
\(527\) | −46.8375 | + | 16.2106i | −2.04027 | + | 0.706145i | ||||
\(528\) | −1.70402 | − | 2.95144i | −0.0741578 | − | 0.128445i | ||||
\(529\) | 20.3207 | + | 10.7735i | 0.883510 | + | 0.468412i | ||||
\(530\) | −2.88836 | − | 1.66759i | −0.125462 | − | 0.0724357i | ||||
\(531\) | 4.69735 | + | 4.07028i | 0.203848 | + | 0.176635i | ||||
\(532\) | −63.3965 | + | 22.1095i | −2.74859 | + | 0.958569i | ||||
\(533\) | −0.150154 | − | 1.04434i | −0.00650390 | − | 0.0452356i | ||||
\(534\) | 0.159326 | − | 1.66854i | 0.00689472 | − | 0.0722048i | ||||
\(535\) | 0.953213 | + | 2.38101i | 0.0412110 | + | 0.102940i | ||||
\(536\) | −28.0490 | + | 29.4170i | −1.21153 | + | 1.27062i | ||||
\(537\) | −4.50300 | − | 8.73461i | −0.194319 | − | 0.376926i | ||||
\(538\) | 15.1571 | + | 6.92200i | 0.653468 | + | 0.298429i | ||||
\(539\) | 26.1099 | + | 6.20379i | 1.12463 | + | 0.267216i | ||||
\(540\) | 0.762628 | − | 0.660821i | 0.0328183 | − | 0.0284372i | ||||
\(541\) | −34.8569 | + | 6.71811i | −1.49861 | + | 0.288834i | −0.871617 | − | 0.490188i | \(-0.836928\pi\) |
−0.626997 | + | 0.779022i | \(0.715716\pi\) | |||||||
\(542\) | −28.3829 | + | 6.88562i | −1.21915 | + | 0.295763i | ||||
\(543\) | −0.206570 | − | 2.16330i | −0.00886478 | − | 0.0928362i | ||||
\(544\) | 25.8131 | − | 13.3076i | 1.10673 | − | 0.570557i | ||||
\(545\) | 0.881992 | + | 3.00379i | 0.0377804 | + | 0.128668i | ||||
\(546\) | 2.18031 | − | 5.48363i | 0.0933085 | − | 0.234678i | ||||
\(547\) | 12.2016 | + | 26.7177i | 0.521701 | + | 1.14237i | 0.968792 | + | 0.247877i | \(0.0797329\pi\) |
−0.447091 | + | 0.894489i | \(0.647540\pi\) | |||||||
\(548\) | 8.53942 | − | 21.3304i | 0.364786 | − | 0.911192i | ||||
\(549\) | −12.8981 | − | 6.64944i | −0.550478 | − | 0.283791i | ||||
\(550\) | 8.30447 | − | 43.0877i | 0.354104 | − | 1.83727i | ||||
\(551\) | 20.9809 | − | 36.3399i | 0.893815 | − | 1.54813i | ||||
\(552\) | 15.3192 | − | 4.40266i | 0.652028 | − | 0.187390i | ||||
\(553\) | −17.9923 | − | 17.0747i | −0.765112 | − | 0.726091i | ||||
\(554\) | −5.91479 | + | 6.82603i | −0.251295 | + | 0.290010i | ||||
\(555\) | 0.101867 | + | 2.13844i | 0.00432400 | + | 0.0907719i | ||||
\(556\) | −20.2131 | − | 25.7031i | −0.857228 | − | 1.09005i | ||||
\(557\) | 8.47147 | + | 6.03251i | 0.358948 | + | 0.255606i | 0.745276 | − | 0.666756i | \(-0.232318\pi\) |
−0.386329 | + | 0.922361i | \(0.626257\pi\) | |||||||
\(558\) | 11.2468 | − | 14.3015i | 0.476116 | − | 0.605431i | ||||
\(559\) | −8.23508 | + | 2.41804i | −0.348307 | + | 0.102272i | ||||
\(560\) | 0.193556 | − | 0.664994i | 0.00817921 | − | 0.0281011i | ||||
\(561\) | −10.1068 | + | 22.1309i | −0.426711 | + | 0.934367i | ||||
\(562\) | −14.5445 | − | 15.2538i | −0.613522 | − | 0.643443i | ||||
\(563\) | 0.172055 | − | 0.497121i | 0.00725126 | − | 0.0209511i | −0.941317 | − | 0.337523i | \(-0.890411\pi\) |
0.948568 | + | 0.316572i | \(0.102532\pi\) | |||||||
\(564\) | −6.24599 | + | 18.0466i | −0.263004 | + | 0.759899i | ||||
\(565\) | 0.557486 | + | 0.584674i | 0.0234536 | + | 0.0245974i | ||||
\(566\) | 18.3290 | − | 40.1350i | 0.770427 | − | 1.68700i | ||||
\(567\) | −0.739398 | + | 2.54033i | −0.0310518 | + | 0.106684i | ||||
\(568\) | 26.0307 | − | 7.64331i | 1.09223 | − | 0.320706i | ||||
\(569\) | 4.19636 | − | 5.33610i | 0.175920 | − | 0.223701i | −0.690094 | − | 0.723719i | \(-0.742431\pi\) |
0.866015 | + | 0.500018i | \(0.166673\pi\) | |||||||
\(570\) | 4.13828 | + | 2.94685i | 0.173333 | + | 0.123430i | ||||
\(571\) | −14.9440 | − | 19.0029i | −0.625388 | − | 0.795246i | 0.365373 | − | 0.930861i | \(-0.380941\pi\) |
−0.990762 | + | 0.135615i | \(0.956699\pi\) | |||||||
\(572\) | 0.598514 | + | 12.5644i | 0.0250251 | + | 0.525342i | ||||
\(573\) | −13.5650 | + | 15.6548i | −0.566686 | + | 0.653990i | ||||
\(574\) | 4.92649 | + | 4.67524i | 0.205628 | + | 0.195141i | ||||
\(575\) | 21.3773 | + | 9.91155i | 0.891495 | + | 0.413340i | ||||
\(576\) | −6.21930 | + | 10.7721i | −0.259137 | + | 0.448839i | ||||
\(577\) | 4.61558 | − | 23.9479i | 0.192149 | − | 0.996964i | −0.749916 | − | 0.661533i | \(-0.769906\pi\) |
0.942065 | − | 0.335431i | \(-0.108882\pi\) | |||||||
\(578\) | 48.1857 | + | 24.8415i | 2.00426 | + | 1.03327i | ||||
\(579\) | −1.91578 | + | 4.78540i | −0.0796173 | + | 0.198874i | ||||
\(580\) | 2.37524 | + | 5.20105i | 0.0986264 | + | 0.215962i | ||||
\(581\) | 13.3740 | − | 33.6365i | 0.554846 | − | 1.39548i | ||||
\(582\) | −6.13888 | − | 20.9071i | −0.254465 | − | 0.866628i | ||||
\(583\) | −16.5672 | + | 8.54100i | −0.686144 | + | 0.353732i | ||||
\(584\) | 2.65045 | + | 27.7568i | 0.109676 | + | 1.14858i | ||||
\(585\) | −0.274006 | + | 0.0664732i | −0.0113288 | + | 0.00274833i | ||||
\(586\) | 33.8363 | − | 6.52142i | 1.39777 | − | 0.269397i | ||||
\(587\) | 9.92414 | − | 8.59931i | 0.409613 | − | 0.354932i | −0.425549 | − | 0.904935i | \(-0.639919\pi\) |
0.835162 | + | 0.550004i | \(0.185374\pi\) | |||||||
\(588\) | 6.86653 | + | 22.9832i | 0.283171 | + | 0.947810i | ||||
\(589\) | 52.6126 | + | 24.0274i | 2.16786 | + | 0.990030i | ||||
\(590\) | −1.95380 | − | 3.78985i | −0.0804367 | − | 0.156026i | ||||
\(591\) | −7.81359 | + | 8.19466i | −0.321408 | + | 0.337083i | ||||
\(592\) | 2.40189 | + | 5.99962i | 0.0987169 | + | 0.246583i | ||||
\(593\) | −2.20076 | + | 23.0474i | −0.0903742 | + | 0.946442i | 0.830613 | + | 0.556850i | \(0.187990\pi\) |
−0.920988 | + | 0.389592i | \(0.872616\pi\) | |||||||
\(594\) | −1.27102 | − | 8.84013i | −0.0521505 | − | 0.362715i | ||||
\(595\) | −4.66855 | + | 1.62815i | −0.191392 | + | 0.0667478i | ||||
\(596\) | 22.6440 | + | 19.6212i | 0.927535 | + | 0.803714i | ||||
\(597\) | 4.19305 | + | 2.42086i | 0.171610 | + | 0.0990791i | ||||
\(598\) | −10.4917 | − | 2.08471i | −0.429037 | − | 0.0852501i | ||||
\(599\) | 19.0289 | + | 32.9590i | 0.777499 | + | 1.34667i | 0.933379 | + | 0.358892i | \(0.116846\pi\) |
−0.155879 | + | 0.987776i | \(0.549821\pi\) | |||||||
\(600\) | 15.4315 | − | 5.34090i | 0.629989 | − | 0.218041i | ||||
\(601\) | 6.68114 | + | 10.3961i | 0.272529 | + | 0.424064i | 0.950359 | − | 0.311155i | \(-0.100716\pi\) |
−0.677830 | + | 0.735219i | \(0.737079\pi\) | |||||||
\(602\) | 31.9410 | − | 45.0798i | 1.30182 | − | 1.83732i | ||||
\(603\) | −11.1245 | + | 5.08038i | −0.453024 | + | 0.206889i | ||||
\(604\) | 37.2658 | + | 29.3061i | 1.51632 | + | 1.19245i | ||||
\(605\) | 0.788199 | + | 0.751546i | 0.0320448 | + | 0.0305547i | ||||
\(606\) | −0.491744 | + | 10.3230i | −0.0199757 | + | 0.419342i | ||||
\(607\) | −31.2857 | + | 22.2784i | −1.26985 | + | 0.904253i | −0.998306 | − | 0.0581744i | \(-0.981472\pi\) |
−0.271539 | + | 0.962427i | \(0.587533\pi\) | |||||||
\(608\) | −32.5179 | − | 9.54813i | −1.31878 | − | 0.387228i | ||||
\(609\) | −12.6306 | − | 8.07511i | −0.511817 | − | 0.327220i | ||||
\(610\) | 6.51898 | + | 7.52330i | 0.263946 | + | 0.304609i | ||||
\(611\) | 3.86177 | − | 3.68219i | 0.156230 | − | 0.148965i | ||||
\(612\) | −21.6475 | + | 2.06708i | −0.875046 | + | 0.0835568i | ||||
\(613\) | −11.6782 | − | 0.556302i | −0.471679 | − | 0.0224688i | −0.189603 | − | 0.981861i | \(-0.560720\pi\) |
−0.282076 | + | 0.959392i | \(0.591023\pi\) | |||||||
\(614\) | 2.18620 | + | 0.530367i | 0.0882280 | + | 0.0214039i | ||||
\(615\) | 0.0461820 | − | 0.321203i | 0.00186224 | − | 0.0129521i | ||||
\(616\) | −22.1369 | − | 25.4258i | −0.891921 | − | 1.02443i | ||||
\(617\) | −20.0549 | + | 2.88346i | −0.807380 | + | 0.116084i | −0.533631 | − | 0.845717i | \(-0.679173\pi\) |
−0.273749 | + | 0.961801i | \(0.588264\pi\) | |||||||
\(618\) | −25.9801 | + | 1.23758i | −1.04507 | + | 0.0497830i | ||||
\(619\) | 3.49348 | + | 0.673313i | 0.140415 | + | 0.0270627i | 0.258974 | − | 0.965884i | \(-0.416616\pi\) |
−0.118560 | + | 0.992947i | \(0.537828\pi\) | |||||||
\(620\) | −6.82537 | + | 3.94063i | −0.274114 | + | 0.158260i | ||||
\(621\) | 4.77142 | + | 0.483300i | 0.191470 | + | 0.0193942i | ||||
\(622\) | 7.77170i | 0.311617i | ||||||||
\(623\) | −0.185428 | − | 1.89460i | −0.00742903 | − | 0.0759057i | ||||
\(624\) | −0.716010 | + | 0.460152i | −0.0286633 | + | 0.0184208i | ||||
\(625\) | 22.0086 | + | 8.81090i | 0.880343 | + | 0.352436i | ||||
\(626\) | −24.6256 | + | 34.5818i | −0.984237 | + | 1.38217i | ||||
\(627\) | 26.3582 | − | 10.5522i | 1.05265 | − | 0.421416i | ||||
\(628\) | −2.98518 | + | 12.3051i | −0.119122 | + | 0.491027i | ||||
\(629\) | 24.9426 | − | 38.8115i | 0.994528 | − | 1.54752i | ||||
\(630\) | 1.11858 | − | 1.42932i | 0.0445653 | − | 0.0569456i | ||||
\(631\) | −5.71773 | + | 19.4728i | −0.227619 | + | 0.775200i | 0.763911 | + | 0.645322i | \(0.223277\pi\) |
−0.991530 | + | 0.129878i | \(0.958541\pi\) | |||||||
\(632\) | 5.89695 | + | 30.5963i | 0.234568 | + | 1.21706i | ||||
\(633\) | 10.2683 | + | 3.55388i | 0.408127 | + | 0.141254i | ||||
\(634\) | −15.9718 | − | 65.8367i | −0.634322 | − | 2.61471i | ||||
\(635\) | 1.02350 | + | 1.43731i | 0.0406164 | + | 0.0570378i | ||||
\(636\) | −14.0152 | − | 9.00703i | −0.555739 | − | 0.357152i | ||||
\(637\) | 1.23731 | − | 6.58703i | 0.0490241 | − | 0.260988i | ||||
\(638\) | 50.0898 | + | 7.20182i | 1.98307 | + | 0.285123i | ||||
\(639\) | 8.12585 | + | 0.775924i | 0.321453 | + | 0.0306951i | ||||
\(640\) | 4.58867 | − | 3.60857i | 0.181383 | − | 0.142641i | ||||
\(641\) | 0.216108 | − | 0.419192i | 0.00853576 | − | 0.0165571i | −0.884529 | − | 0.466485i | \(-0.845520\pi\) |
0.893065 | + | 0.449928i | \(0.148550\pi\) | |||||||
\(642\) | 6.63576 | + | 19.1728i | 0.261893 | + | 0.756689i | ||||
\(643\) | 1.55390 | 0.0612797 | 0.0306398 | − | 0.999530i | \(-0.490246\pi\) | ||||
0.0306398 | + | 0.999530i | \(0.490246\pi\) | |||||||
\(644\) | 38.7139 | − | 19.7928i | 1.52554 | − | 0.779945i | ||||
\(645\) | −2.63974 | −0.103940 | ||||||||
\(646\) | −35.8071 | − | 103.458i | −1.40881 | − | 4.07050i | ||||
\(647\) | 13.3382 | − | 25.8724i | 0.524377 | − | 1.01715i | −0.466770 | − | 0.884379i | \(-0.654582\pi\) |
0.991147 | − | 0.132770i | \(-0.0423873\pi\) | |||||||
\(648\) | 2.61250 | − | 2.05450i | 0.102629 | − | 0.0807082i | ||||
\(649\) | −23.7212 | − | 2.26510i | −0.931140 | − | 0.0889131i | ||||
\(650\) | −10.8472 | − | 1.55960i | −0.425463 | − | 0.0611724i | ||||
\(651\) | 9.42530 | − | 18.3890i | 0.369407 | − | 0.720723i | ||||
\(652\) | −31.8325 | − | 20.4575i | −1.24665 | − | 0.801177i | ||||
\(653\) | 6.84448 | + | 9.61173i | 0.267845 | + | 0.376136i | 0.926491 | − | 0.376317i | \(-0.122810\pi\) |
−0.658646 | + | 0.752453i | \(0.728870\pi\) | |||||||
\(654\) | 5.83858 | + | 24.0669i | 0.228306 | + | 0.941092i | ||||
\(655\) | −2.29384 | − | 0.793906i | −0.0896278 | − | 0.0310205i | ||||
\(656\) | −0.185385 | − | 0.961869i | −0.00723807 | − | 0.0375547i | ||||
\(657\) | −2.36359 | + | 8.04964i | −0.0922123 | + | 0.314046i | ||||
\(658\) | −4.80795 | + | 34.0100i | −0.187434 | + | 1.32585i | ||||
\(659\) | 24.3996 | − | 37.9666i | 0.950475 | − | 1.47897i | 0.0741505 | − | 0.997247i | \(-0.476375\pi\) |
0.876325 | − | 0.481721i | \(-0.159988\pi\) | |||||||
\(660\) | −0.912087 | + | 3.75967i | −0.0355029 | + | 0.146345i | ||||
\(661\) | 42.8936 | − | 17.1720i | 1.66837 | − | 0.667914i | 0.671071 | − | 0.741393i | \(-0.265834\pi\) |
0.997297 | + | 0.0734791i | \(0.0234102\pi\) | |||||||
\(662\) | −41.6448 | + | 58.4819i | −1.61857 | + | 2.27296i | ||||
\(663\) | 5.64081 | + | 2.25824i | 0.219071 | + | 0.0877028i | ||||
\(664\) | −38.2530 | + | 24.5837i | −1.48450 | + | 0.954032i | ||||
\(665\) | 5.25414 | + | 2.38451i | 0.203747 | + | 0.0924672i | ||||
\(666\) | 16.9356i | 0.656243i | ||||||||
\(667\) | −10.2444 | + | 25.1691i | −0.396664 | + | 0.974550i | ||||
\(668\) | 30.0416 | − | 17.3445i | 1.16234 | − | 0.671080i | ||||
\(669\) | −0.331512 | − | 0.0638937i | −0.0128170 | − | 0.00247027i | ||||
\(670\) | 8.38006 | − | 0.399191i | 0.323750 | − | 0.0154221i | ||||
\(671\) | 55.0675 | − | 7.91751i | 2.12586 | − | 0.305652i | ||||
\(672\) | −3.93306 | + | 11.4513i | −0.151721 | + | 0.441742i | ||||
\(673\) | 5.29756 | − | 36.8454i | 0.204206 | − | 1.42028i | −0.587422 | − | 0.809281i | \(-0.699857\pi\) |
0.791628 | − | 0.611003i | \(-0.209234\pi\) | |||||||
\(674\) | 15.0710 | + | 3.65619i | 0.580514 | + | 0.140831i | ||||
\(675\) | 4.90772 | + | 0.233783i | 0.188898 | + | 0.00899832i | ||||
\(676\) | −41.2184 | + | 3.93588i | −1.58532 | + | 0.151380i | ||||
\(677\) | −19.0098 | + | 18.1258i | −0.730605 | + | 0.696630i | −0.961025 | − | 0.276461i | \(-0.910838\pi\) |
0.230420 | + | 0.973091i | \(0.425990\pi\) | |||||||
\(678\) | 4.18500 | + | 4.82975i | 0.160724 | + | 0.185485i | ||||
\(679\) | −11.3919 | − | 21.9697i | −0.437182 | − | 0.843120i | ||||
\(680\) | 5.95942 | + | 1.74984i | 0.228533 | + | 0.0671034i | ||||
\(681\) | 18.0743 | − | 12.8706i | 0.692607 | − | 0.493203i | ||||
\(682\) | −3.31898 | + | 69.6740i | −0.127090 | + | 2.66795i | ||||
\(683\) | −4.75487 | − | 4.53376i | −0.181940 | − | 0.173480i | 0.593636 | − | 0.804734i | \(-0.297692\pi\) |
−0.775576 | + | 0.631254i | \(0.782540\pi\) | |||||||
\(684\) | 19.9477 | + | 15.6870i | 0.762719 | + | 0.599809i | ||||
\(685\) | −1.79608 | + | 0.820241i | −0.0686245 | + | 0.0313398i | ||||
\(686\) | 20.0407 | + | 38.2065i | 0.765156 | + | 1.45873i | ||||
\(687\) | 3.67797 | + | 5.72303i | 0.140323 | + | 0.218347i | ||||
\(688\) | −7.53021 | + | 2.60623i | −0.287087 | + | 0.0993616i | ||||
\(689\) | 2.32748 | + | 4.03132i | 0.0886701 | + | 0.153581i | ||||
\(690\) | −2.91551 | − | 1.52432i | −0.110992 | − | 0.0580299i | ||||
\(691\) | −1.49851 | − | 0.865167i | −0.0570061 | − | 0.0329125i | 0.471226 | − | 0.882012i | \(-0.343812\pi\) |
−0.528232 | + | 0.849100i | \(0.677145\pi\) | |||||||
\(692\) | 4.09549 | + | 3.54877i | 0.155687 | + | 0.134904i | ||||
\(693\) | −3.34020 | − | 9.57763i | −0.126884 | − | 0.363824i | ||||
\(694\) | 10.4989 | + | 73.0216i | 0.398533 | + | 2.77186i | ||||
\(695\) | −0.267111 | + | 2.79732i | −0.0101321 | + | 0.106108i | ||||
\(696\) | 6.99913 | + | 17.4830i | 0.265301 | + | 0.662691i | ||||
\(697\) | −4.82574 | + | 5.06110i | −0.182788 | + | 0.191703i | ||||
\(698\) | −9.61725 | − | 18.6549i | −0.364018 | − | 0.706097i | ||||
\(699\) | 19.3807 | + | 8.85088i | 0.733047 | + | 0.334771i | ||||
\(700\) | 38.5243 | − | 22.3635i | 1.45608 | − | 0.845261i | ||||
\(701\) | −27.2884 | + | 23.6455i | −1.03067 | + | 0.893080i | −0.994338 | − | 0.106260i | \(-0.966112\pi\) |
−0.0363309 | + | 0.999340i | \(0.511567\pi\) | |||||||
\(702\) | −2.19013 | + | 0.422113i | −0.0826612 | + | 0.0159316i | ||||
\(703\) | −52.3212 | + | 12.6930i | −1.97333 | + | 0.478725i | ||||
\(704\) | −4.53299 | − | 47.4716i | −0.170843 | − | 1.78915i | ||||
\(705\) | 1.45869 | − | 0.752009i | 0.0549376 | − | 0.0283223i | ||||
\(706\) | 19.8852 | + | 67.7227i | 0.748389 | + | 2.54878i | ||||
\(707\) | 1.69786 | + | 11.6141i | 0.0638545 | + | 0.436794i | ||||
\(708\) | −8.84779 | − | 19.3740i | −0.332520 | − | 0.728118i | ||||
\(709\) | −3.91840 | + | 9.78768i | −0.147158 | + | 0.367584i | −0.983572 | − | 0.180514i | \(-0.942224\pi\) |
0.836414 | + | 0.548098i | \(0.184648\pi\) | |||||||
\(710\) | −4.97721 | − | 2.56593i | −0.186791 | − | 0.0962977i | ||||
\(711\) | −1.77428 | + | 9.20585i | −0.0665408 | + | 0.345246i | ||||
\(712\) | −1.19568 | + | 2.07098i | −0.0448099 | + | 0.0776131i | ||||
\(713\) | −35.8778 | − | 10.7590i | −1.34364 | − | 0.402928i | ||||
\(714\) | −37.5022 | + | 11.1079i | −1.40349 | + | 0.415703i | ||||
\(715\) | 0.707882 | − | 0.816939i | 0.0264733 | − | 0.0305518i | ||||
\(716\) | 1.60229 | + | 33.6362i | 0.0598805 | + | 1.25705i | ||||
\(717\) | 4.03270 | + | 5.12800i | 0.150604 | + | 0.191508i | ||||
\(718\) | 58.3421 | + | 41.5452i | 2.17731 | + | 1.55045i | ||||
\(719\) | 6.82624 | − | 8.68028i | 0.254576 | − | 0.323720i | −0.641920 | − | 0.766772i | \(-0.721862\pi\) |
0.896496 | + | 0.443052i | \(0.146104\pi\) | |||||||
\(720\) | −0.251171 | + | 0.0737504i | −0.00936058 | + | 0.00274852i | ||||
\(721\) | −28.6910 | + | 7.03214i | −1.06851 | + | 0.261891i | ||||
\(722\) | −34.6866 | + | 75.9531i | −1.29090 | + | 2.82668i | ||||
\(723\) | −20.0158 | − | 20.9919i | −0.744395 | − | 0.780699i | ||||
\(724\) | −2.43559 | + | 7.03717i | −0.0905179 | + | 0.261534i | ||||
\(725\) | −9.10542 | + | 26.3084i | −0.338167 | + | 0.977069i | ||||
\(726\) | 5.94521 | + | 6.23516i | 0.220647 | + | 0.231408i | ||||
\(727\) | −5.34940 | + | 11.7136i | −0.198398 | + | 0.434432i | −0.982515 | − | 0.186181i | \(-0.940389\pi\) |
0.784117 | + | 0.620613i | \(0.213116\pi\) | |||||||
\(728\) | −6.07959 | + | 5.82435i | −0.225325 | + | 0.215865i | ||||
\(729\) | 0.959493 | − | 0.281733i | 0.0355368 | − | 0.0104345i | ||||
\(730\) | 3.55762 | − | 4.52389i | 0.131674 | − | 0.167437i | ||||
\(731\) | 46.3379 | + | 32.9970i | 1.71387 | + | 1.22044i | ||||
\(732\) | 30.7385 | + | 39.0872i | 1.13613 | + | 1.44470i | ||||
\(733\) | 0.0918167 | + | 1.92747i | 0.00339133 | + | 0.0711927i | 0.999929 | − | 0.0119553i | \(-0.00380559\pi\) |
−0.996537 | + | 0.0831481i | \(0.973503\pi\) | |||||||
\(734\) | 1.23514 | − | 1.42542i | 0.0455897 | − | 0.0526133i | ||||
\(735\) | 0.935909 | − | 1.83665i | 0.0345215 | − | 0.0677460i | ||||
\(736\) | 21.7057 | + | 3.24822i | 0.800081 | + | 0.119731i | ||||
\(737\) | 23.4432 | − | 40.6048i | 0.863542 | − | 1.49570i | ||||
\(738\) | 0.485817 | − | 2.52066i | 0.0178832 | − | 0.0927867i | ||||
\(739\) | −17.3286 | − | 8.93354i | −0.637444 | − | 0.328625i | 0.109031 | − | 0.994038i | \(-0.465225\pi\) |
−0.746475 | + | 0.665413i | \(0.768255\pi\) | |||||||
\(740\) | 2.72657 | − | 6.81064i | 0.100231 | − | 0.250364i | ||||
\(741\) | −2.94555 | − | 6.44986i | −0.108208 | − | 0.236941i | ||||
\(742\) | −27.8447 | − | 11.0711i | −1.02221 | − | 0.406433i | ||||
\(743\) | −2.81903 | − | 9.60073i | −0.103420 | − | 0.352217i | 0.891483 | − | 0.453055i | \(-0.149666\pi\) |
−0.994903 | + | 0.100838i | \(0.967848\pi\) | |||||||
\(744\) | −23.0721 | + | 11.8945i | −0.845865 | + | 0.436074i | ||||
\(745\) | −0.244757 | − | 2.56321i | −0.00896719 | − | 0.0939087i | ||||
\(746\) | −80.4107 | + | 19.5074i | −2.94405 | + | 0.714218i | ||||
\(747\) | −13.4342 | + | 2.58924i | −0.491533 | + | 0.0947352i | ||||
\(748\) | 63.0070 | − | 54.5959i | 2.30377 | − | 1.99622i | ||||
\(749\) | 11.5684 | + | 19.9283i | 0.422701 | + | 0.728164i | ||||
\(750\) | −6.18598 | − | 2.82504i | −0.225880 | − | 0.103156i | ||||
\(751\) | −13.4258 | − | 26.0424i | −0.489913 | − | 0.950300i | −0.996130 | − | 0.0878931i | \(-0.971987\pi\) |
0.506216 | − | 0.862406i | \(-0.331044\pi\) | |||||||
\(752\) | 3.41865 | − | 3.58538i | 0.124665 | − | 0.130745i | ||||
\(753\) | 5.86871 | + | 14.6593i | 0.213868 | + | 0.534215i | ||||
\(754\) | 1.20132 | − | 12.5808i | 0.0437496 | − | 0.458167i | ||||
\(755\) | −0.579813 | − | 4.03269i | −0.0211015 | − | 0.146764i | ||||
\(756\) | 5.92092 | − | 6.86580i | 0.215342 | − | 0.249707i | ||||
\(757\) | −21.7878 | − | 18.8792i | −0.791890 | − | 0.686176i | 0.161848 | − | 0.986816i | \(-0.448254\pi\) |
−0.953738 | + | 0.300639i | \(0.902800\pi\) | |||||||
\(758\) | −40.2538 | − | 23.2406i | −1.46208 | − | 0.844135i | ||||
\(759\) | −15.9757 | + | 9.10156i | −0.579880 | + | 0.330366i | ||||
\(760\) | −3.62405 | − | 6.27705i | −0.131458 | − | 0.227692i | ||||
\(761\) | −26.6316 | + | 9.21729i | −0.965395 | + | 0.334126i | −0.763879 | − | 0.645359i | \(-0.776708\pi\) |
−0.201515 | + | 0.979485i | \(0.564587\pi\) | |||||||
\(762\) | 7.54638 | + | 11.7424i | 0.273376 | + | 0.425382i | ||||
\(763\) | 11.7447 | + | 25.5573i | 0.425185 | + | 0.925238i | ||||
\(764\) | 64.5675 | − | 29.4870i | 2.33597 | − | 1.06680i | ||||
\(765\) | 1.46896 | + | 1.15520i | 0.0531102 | + | 0.0417663i | ||||
\(766\) | 31.1840 | + | 29.7338i | 1.12672 | + | 1.07433i | ||||
\(767\) | −0.283164 | + | 5.94435i | −0.0102245 | + | 0.214638i | ||||
\(768\) | 17.3521 | − | 12.3564i | 0.626141 | − | 0.445873i | ||||
\(769\) | 38.6797 | + | 11.3574i | 1.39483 | + | 0.409558i | 0.890904 | − | 0.454191i | \(-0.150072\pi\) |
0.503922 | + | 0.863749i | \(0.331890\pi\) | |||||||
\(770\) | −0.314679 | + | 6.95125i | −0.0113403 | + | 0.250506i | ||||
\(771\) | 6.83206 | + | 7.88462i | 0.246051 | + | 0.283958i | ||||
\(772\) | 12.7836 | − | 12.1892i | 0.460093 | − | 0.438698i | ||||
\(773\) | −5.49819 | + | 0.525013i | −0.197756 | + | 0.0188834i | −0.193464 | − | 0.981107i | \(-0.561972\pi\) |
−0.00429208 | + | 0.999991i | \(0.501366\pi\) | |||||||
\(774\) | −20.8584 | − | 0.993607i | −0.749739 | − | 0.0357145i | ||||
\(775\) | −37.2919 | − | 9.04692i | −1.33957 | − | 0.324975i | ||||
\(776\) | −4.42425 | + | 30.7713i | −0.158821 | + | 1.10463i | ||||
\(777\) | 3.68475 | + | 18.8783i | 0.132190 | + | 0.677256i | ||||
\(778\) | 8.72255 | − | 1.25411i | 0.312718 | − | 0.0449621i | ||||
\(779\) | 8.15147 | − | 0.388302i | 0.292057 | − | 0.0139124i | ||||
\(780\) | 0.948716 | + | 0.182850i | 0.0339695 | + | 0.00654708i | ||||
\(781\) | −27.1021 | + | 15.6474i | −0.969791 | + | 0.559909i | ||||
\(782\) | 32.1246 | + | 63.2021i | 1.14877 | + | 2.26010i | ||||
\(783\) | 5.66618i | 0.202493i | ||||||||
\(784\) | 0.856464 | − | 6.16333i | 0.0305880 | − | 0.220119i | ||||
\(785\) | 0.915396 | − | 0.588289i | 0.0326719 | − | 0.0209969i | ||||
\(786\) | −17.8264 | − | 7.13660i | −0.635845 | − | 0.254554i | ||||
\(787\) | −2.70019 | + | 3.79188i | −0.0962512 | + | 0.135166i | −0.859893 | − | 0.510474i | \(-0.829470\pi\) |
0.763642 | + | 0.645640i | \(0.223409\pi\) | |||||||
\(788\) | 36.0205 | − | 14.4204i | 1.28318 | − | 0.513707i | ||||
\(789\) | −0.564218 | + | 2.32574i | −0.0200867 | + | 0.0827984i | ||||
\(790\) | 3.47711 | − | 5.41048i | 0.123710 | − | 0.192496i | ||||
\(791\) | 5.71588 | + | 4.47322i | 0.203233 | + | 0.159049i | ||||
\(792\) | −3.58984 | + | 12.2259i | −0.127559 | + | 0.434428i | ||||
\(793\) | −2.62945 | − | 13.6429i | −0.0933746 | − | 0.484474i | ||||
\(794\) | −15.0028 | − | 5.19251i | −0.532429 | − | 0.184275i | ||||
\(795\) | 0.337536 | + | 1.39134i | 0.0119712 | + | 0.0493458i | ||||
\(796\) | −9.62382 | − | 13.5148i | −0.341107 | − | 0.479018i | ||||
\(797\) | −22.1909 | − | 14.2612i | −0.786042 | − | 0.505158i | 0.0849920 | − | 0.996382i | \(-0.472914\pi\) |
−0.871034 | + | 0.491223i | \(0.836550\pi\) | |||||||
\(798\) | 40.6190 | + | 20.8193i | 1.43790 | + | 0.736994i | ||||
\(799\) | −35.0060 | − | 5.03310i | −1.23842 | − | 0.178058i | ||||
\(800\) | 22.3830 | + | 2.13732i | 0.791360 | + | 0.0755657i | ||||
\(801\) | −0.565576 | + | 0.444774i | −0.0199837 | + | 0.0157153i | ||||
\(802\) | −20.9536 | + | 40.6443i | −0.739897 | + | 1.43520i | ||||
\(803\) | −10.5198 | − | 30.3949i | −0.371234 | − | 1.07261i | ||||
\(804\) | 41.9075 | 1.47796 | ||||||||
\(805\) | −3.58160 | − | 1.06484i | −0.126235 | − | 0.0375305i | ||||
\(806\) | 17.4201 | 0.613598 | ||||||||
\(807\) | −2.33948 | − | 6.75948i | −0.0823535 | − | 0.237945i | ||||
\(808\) | 6.75638 | − | 13.1056i | 0.237689 | − | 0.461052i | ||||
\(809\) | −2.17578 | + | 1.71105i | −0.0764964 | + | 0.0601574i | −0.655675 | − | 0.755043i | \(-0.727616\pi\) |
0.579179 | + | 0.815201i | \(0.303373\pi\) | |||||||
\(810\) | −0.682896 | − | 0.0652086i | −0.0239945 | − | 0.00229120i | ||||
\(811\) | −42.2990 | − | 6.08167i | −1.48532 | − | 0.213556i | −0.648574 | − | 0.761152i | \(-0.724634\pi\) |
−0.836743 | + | 0.547595i | \(0.815543\pi\) | |||||||
\(812\) | 27.8752 | + | 43.1502i | 0.978227 | + | 1.51428i | ||||
\(813\) | 10.5471 | + | 6.77822i | 0.369903 | + | 0.237723i | ||||
\(814\) | −37.6622 | − | 52.8891i | −1.32006 | − | 1.85376i | ||||
\(815\) | 0.766638 | + | 3.16013i | 0.0268542 | + | 0.110694i | ||||
\(816\) | 5.33093 | + | 1.84505i | 0.186620 | + | 0.0645897i | ||||
\(817\) | −12.5634 | − | 65.1849i | −0.439536 | − | 2.28053i | ||||
\(818\) | −17.9971 | + | 61.2924i | −0.629252 | + | 2.14304i | ||||
\(819\) | −2.34952 | + | 0.947048i | −0.0820988 | + | 0.0330926i | ||||
\(820\) | −0.601186 | + | 0.935464i | −0.0209943 | + | 0.0326678i | ||||
\(821\) | 2.53822 | − | 10.4627i | 0.0885844 | − | 0.365150i | −0.910215 | − | 0.414136i | \(-0.864084\pi\) |
0.998799 | + | 0.0489860i | \(0.0155990\pi\) | |||||||
\(822\) | −14.5008 | + | 5.80523i | −0.505772 | + | 0.202481i | ||||
\(823\) | −8.66399 | + | 12.1669i | −0.302008 | + | 0.424111i | −0.937494 | − | 0.348002i | \(-0.886860\pi\) |
0.635486 | + | 0.772112i | \(0.280800\pi\) | |||||||
\(824\) | 34.4500 | + | 13.7917i | 1.20012 | + | 0.480457i | ||||
\(825\) | −15.8464 | + | 10.1839i | −0.551702 | + | 0.354558i | ||||
\(826\) | −22.2946 | − | 31.1524i | −0.775728 | − | 1.08393i | ||||
\(827\) | − | 22.9981i | − | 0.799723i | −0.916576 | − | 0.399861i | \(-0.869058\pi\) | ||
0.916576 | − | 0.399861i | \(-0.130942\pi\) | |||||||
\(828\) | −14.1848 | − | 8.29862i | −0.492954 | − | 0.288397i | ||||
\(829\) | −4.82654 | + | 2.78660i | −0.167633 | + | 0.0967827i | −0.581469 | − | 0.813569i | \(-0.697522\pi\) |
0.413836 | + | 0.910351i | \(0.364189\pi\) | |||||||
\(830\) | 9.21591 | + | 1.77622i | 0.319889 | + | 0.0616535i | ||||
\(831\) | 3.87284 | − | 0.184486i | 0.134347 | − | 0.00639976i | ||||
\(832\) | −11.7883 | + | 1.69490i | −0.408685 | + | 0.0587600i | ||||
\(833\) | −39.3873 | + | 20.5416i | −1.36469 | + | 0.711724i | ||||
\(834\) | −3.16355 | + | 22.0030i | −0.109545 | + | 0.761900i | ||||
\(835\) | −2.89703 | − | 0.702813i | −0.100256 | − | 0.0243218i | ||||
\(836\) | −97.1811 | − | 4.62930i | −3.36108 | − | 0.160108i | ||||
\(837\) | −7.77482 | + | 0.742405i | −0.268737 | + | 0.0256613i | ||||
\(838\) | 50.8406 | − | 48.4764i | 1.75626 | − | 1.67459i | ||||
\(839\) | −32.9180 | − | 37.9894i | −1.13645 | − | 1.31154i | −0.943892 | − | 0.330254i | \(-0.892865\pi\) |
−0.192563 | − | 0.981285i | \(-0.561680\pi\) | |||||||
\(840\) | −2.29880 | + | 1.19200i | −0.0793163 | + | 0.0411278i | ||||
\(841\) | −2.97980 | − | 0.874950i | −0.102752 | − | 0.0301707i | ||||
\(842\) | 35.8267 | − | 25.5121i | 1.23467 | − | 0.879204i | ||||
\(843\) | −0.430500 | + | 9.03730i | −0.0148272 | + | 0.311261i | ||||
\(844\) | −26.9477 | − | 25.6946i | −0.927578 | − | 0.884444i | ||||
\(845\) | 2.79700 | + | 2.19959i | 0.0962199 | + | 0.0756681i | ||||
\(846\) | 11.8092 | − | 5.39307i | 0.406008 | − | 0.185418i | ||||
\(847\) | 7.98379 | + | 5.65686i | 0.274326 | + | 0.194372i | ||||
\(848\) | 2.33655 | + | 3.63574i | 0.0802373 | + | 0.124852i | ||||
\(849\) | −17.8987 | + | 6.19479i | −0.614281 | + | 0.212605i | ||||
\(850\) | 36.3170 | + | 62.9029i | 1.24566 | + | 2.15755i | ||||
\(851\) | 32.4420 | − | 12.7720i | 1.11210 | − | 0.437819i | ||||
\(852\) | −24.2241 | − | 13.9858i | −0.829905 | − | 0.479146i | ||||
\(853\) | 10.7285 | + | 9.29626i | 0.367335 | + | 0.318298i | 0.818895 | − | 0.573943i | \(-0.194587\pi\) |
−0.451560 | + | 0.892241i | \(0.649132\pi\) | |||||||
\(854\) | 67.7309 | + | 58.4097i | 2.31770 | + | 1.99874i | ||||
\(855\) | −0.310363 | − | 2.15862i | −0.0106142 | − | 0.0738233i | ||||
\(856\) | 2.75150 | − | 28.8150i | 0.0940442 | − | 0.984876i | ||||
\(857\) | 2.77508 | + | 6.93182i | 0.0947950 | + | 0.236786i | 0.968185 | − | 0.250235i | \(-0.0805077\pi\) |
−0.873390 | + | 0.487021i | \(0.838083\pi\) | |||||||
\(858\) | 5.90095 | − | 6.18874i | 0.201455 | − | 0.211280i | ||||
\(859\) | 5.74863 | + | 11.1508i | 0.196141 | + | 0.380460i | 0.966311 | − | 0.257379i | \(-0.0828589\pi\) |
−0.770170 | + | 0.637839i | \(0.779829\pi\) | |||||||
\(860\) | 8.22820 | + | 3.75769i | 0.280579 | + | 0.128136i | ||||
\(861\) | −0.00688445 | − | 2.91550i | −0.000234621 | − | 0.0993600i | ||||
\(862\) | 10.3539 | − | 8.97169i | 0.352655 | − | 0.305577i | ||||
\(863\) | 19.5399 | − | 3.76600i | 0.665145 | − | 0.128196i | 0.154506 | − | 0.987992i | \(-0.450621\pi\) |
0.510638 | + | 0.859796i | \(0.329409\pi\) | |||||||
\(864\) | 4.44734 | − | 1.07891i | 0.151302 | − | 0.0367054i | ||||
\(865\) | −0.0442677 | − | 0.463593i | −0.00150515 | − | 0.0157626i | ||||
\(866\) | −37.2359 | + | 19.1965i | −1.26533 | + | 0.652322i | ||||
\(867\) | −6.55640 | − | 22.3291i | −0.222667 | − | 0.758334i | ||||
\(868\) | −55.5560 | + | 43.9025i | −1.88570 | + | 1.49015i | ||||
\(869\) | −14.9314 | − | 32.6951i | −0.506512 | − | 1.10911i | ||||
\(870\) | 1.44466 | − | 3.60858i | 0.0489784 | − | 0.122342i | ||||
\(871\) | −10.4078 | − | 5.36557i | −0.352653 | − | 0.181805i | ||||
\(872\) | 6.68674 | − | 34.6941i | 0.226442 | − | 1.17489i | ||||
\(873\) | −4.67686 | + | 8.10055i | −0.158288 | + | 0.274162i | ||||
\(874\) | 23.7653 | − | 79.2495i | 0.803872 | − | 2.68065i | ||||
\(875\) | −7.51022 | − | 1.80319i | −0.253892 | − | 0.0609591i | ||||
\(876\) | 18.8261 | − | 21.7265i | 0.636076 | − | 0.734071i | ||||
\(877\) | −0.249469 | − | 5.23699i | −0.00842396 | − | 0.176841i | −0.999158 | − | 0.0410253i | \(-0.986938\pi\) |
0.990734 | − | 0.135816i | \(-0.0433654\pi\) | |||||||
\(878\) | −19.9747 | − | 25.3999i | −0.674114 | − | 0.857206i | ||||
\(879\) | −12.0494 | − | 8.58036i | −0.406417 | − | 0.289408i | ||||
\(880\) | 0.620384 | − | 0.788883i | 0.0209132 | − | 0.0265932i | ||||
\(881\) | 32.0967 | − | 9.42443i | 1.08136 | − | 0.317517i | 0.307940 | − | 0.951406i | \(-0.400361\pi\) |
0.773424 | + | 0.633889i | \(0.218542\pi\) | |||||||
\(882\) | 8.08657 | − | 14.1604i | 0.272289 | − | 0.476805i | ||||
\(883\) | 0.596404 | − | 1.30594i | 0.0200706 | − | 0.0439485i | −0.899331 | − | 0.437268i | \(-0.855946\pi\) |
0.919402 | + | 0.393320i | \(0.128673\pi\) | |||||||
\(884\) | −14.3681 | − | 15.0688i | −0.483250 | − | 0.506818i | ||||
\(885\) | −0.598646 | + | 1.72967i | −0.0201233 | + | 0.0581423i | ||||
\(886\) | 4.32708 | − | 12.5023i | 0.145371 | − | 0.420022i | ||||
\(887\) | 29.1433 | + | 30.5646i | 0.978535 | + | 1.02626i | 0.999649 | + | 0.0264809i | \(0.00843011\pi\) |
−0.0211143 | + | 0.999777i | \(0.506721\pi\) | |||||||
\(888\) | 10.0374 | − | 21.9788i | 0.336832 | − | 0.737560i | ||||
\(889\) | 10.9669 | + | 11.4475i | 0.367816 | + | 0.383935i | ||||
\(890\) | 0.473594 | − | 0.139060i | 0.0158749 | − | 0.00466130i | ||||
\(891\) | −2.36992 | + | 3.01360i | −0.0793953 | + | 0.100959i | ||||
\(892\) | 0.942386 | + | 0.671070i | 0.0315534 | + | 0.0224691i | ||||
\(893\) | 25.5122 | + | 32.4415i | 0.853735 | + | 1.08561i | ||||
\(894\) | −0.969189 | − | 20.3458i | −0.0324145 | − | 0.680464i | ||||
\(895\) | 1.89508 | − | 2.18704i | 0.0633456 | − | 0.0731047i | ||||
\(896\) | 36.1034 | − | 38.0436i | 1.20613 | − | 1.27095i | ||||
\(897\) | 2.46029 | + | 3.87709i | 0.0821467 | + | 0.129452i | ||||
\(898\) | −23.5762 | + | 40.8352i | −0.786749 | + | 1.36269i | ||||
\(899\) | 8.37511 | − | 43.4542i | 0.279325 | − | 1.44928i | ||||
\(900\) | −14.9648 | − | 7.71489i | −0.498826 | − | 0.257163i | ||||
\(901\) | 11.4668 | − | 28.6428i | 0.382016 | − | 0.954230i | ||||
\(902\) | 4.08836 | + | 8.95226i | 0.136128 | + | 0.298078i | ||||
\(903\) | −23.4672 | + | 3.43065i | −0.780940 | + | 0.114165i | ||||
\(904\) | −2.56874 | − | 8.74832i | −0.0854350 | − | 0.290965i | ||||
\(905\) | 0.568809 | − | 0.293241i | 0.0189078 | − | 0.00974767i | ||||
\(906\) | −3.06358 | − | 32.0832i | −0.101781 | − | 1.06589i | ||||
\(907\) | −20.7263 | + | 5.02814i | −0.688205 | + | 0.166957i | −0.564588 | − | 0.825373i | \(-0.690965\pi\) |
−0.123618 | + | 0.992330i | \(0.539450\pi\) | |||||||
\(908\) | −74.6598 | + | 14.3895i | −2.47767 | + | 0.477532i | ||||
\(909\) | 3.35279 | − | 2.90521i | 0.111205 | − | 0.0963598i | ||||
\(910\) | 1.73778 | − | 0.00410346i | 0.0576068 | − | 0.000136028i | ||||
\(911\) | −14.6506 | − | 6.69071i | −0.485396 | − | 0.221673i | 0.157658 | − | 0.987494i | \(-0.449606\pi\) |
−0.643054 | + | 0.765821i | \(0.722333\pi\) | |||||||
\(912\) | −3.01657 | − | 5.85133i | −0.0998886 | − | 0.193757i | ||||
\(913\) | 36.1964 | − | 37.9617i | 1.19793 | − | 1.25635i | ||||
\(914\) | 10.6537 | + | 26.6116i | 0.352392 | + | 0.880233i | ||||
\(915\) | 0.406202 | − | 4.25394i | 0.0134286 | − | 0.140631i | ||||
\(916\) | −3.31763 | − | 23.0746i | −0.109617 | − | 0.762406i | ||||
\(917\) | −21.4240 | − | 4.07668i | −0.707481 | − | 0.134624i | ||||
\(918\) | 11.1724 | + | 9.68094i | 0.368744 | + | 0.319519i | ||||
\(919\) | −15.9316 | − | 9.19809i | −0.525534 | − | 0.303417i | 0.213662 | − | 0.976908i | \(-0.431461\pi\) |
−0.739196 | + | 0.673491i | \(0.764794\pi\) | |||||||
\(920\) | 2.88027 | + | 3.70620i | 0.0949598 | + | 0.122190i | ||||
\(921\) | −0.482847 | − | 0.836316i | −0.0159104 | − | 0.0275576i | ||||
\(922\) | −60.2931 | + | 20.8676i | −1.98565 | + | 0.687239i | ||||
\(923\) | 4.22542 | + | 6.57488i | 0.139081 | + | 0.216415i | ||||
\(924\) | −3.22228 | + | 34.6087i | −0.106005 | + | 1.13854i | ||||
\(925\) | 32.4916 | − | 14.8384i | 1.06832 | − | 0.487884i | ||||
\(926\) | 54.4428 | + | 42.8143i | 1.78910 | + | 1.40696i | ||||
\(927\) | 8.08060 | + | 7.70484i | 0.265402 | + | 0.253060i | ||||
\(928\) | −1.23382 | + | 25.9010i | −0.0405020 | + | 0.850242i | ||||
\(929\) | 48.4650 | − | 34.5118i | 1.59009 | − | 1.13229i | 0.668776 | − | 0.743464i | \(-0.266818\pi\) |
0.921309 | − | 0.388831i | \(-0.127121\pi\) | |||||||
\(930\) | 5.14077 | + | 1.50947i | 0.168573 | + | 0.0494974i | ||||
\(931\) | 49.8081 | + | 14.3698i | 1.63239 | + | 0.470952i | ||||
\(932\) | −47.8114 | − | 55.1772i | −1.56611 | − | 1.80739i | ||||
\(933\) | 2.41450 | − | 2.30222i | 0.0790471 | − | 0.0753712i | ||||
\(934\) | −43.1579 | + | 4.12108i | −1.41217 | + | 0.134846i | ||||
\(935\) | −7.15646 | − | 0.340904i | −0.234041 | − | 0.0111488i | ||||
\(936\) | 3.09249 | + | 0.750231i | 0.101081 | + | 0.0245221i | ||||
\(937\) | −0.0438867 | + | 0.305239i | −0.00143372 | + | 0.00997171i | −0.990526 | − | 0.137327i | \(-0.956149\pi\) |
0.989092 | + | 0.147299i | \(0.0470579\pi\) | |||||||
\(938\) | 73.9797 | − | 14.4397i | 2.41552 | − | 0.471472i | ||||
\(939\) | 18.0387 | − | 2.59357i | 0.588670 | − | 0.0846379i | ||||
\(940\) | −5.61731 | + | 0.267585i | −0.183216 | + | 0.00872767i | ||||
\(941\) | −17.2422 | − | 3.32316i | −0.562079 | − | 0.108332i | −0.0997052 | − | 0.995017i | \(-0.531790\pi\) |
−0.462374 | + | 0.886685i | \(0.653002\pi\) | |||||||
\(942\) | 7.45460 | − | 4.30391i | 0.242884 | − | 0.140229i | ||||
\(943\) | −5.19497 | + | 0.970319i | −0.169171 | + | 0.0315979i | ||||
\(944\) | 5.52517i | 0.179829i | ||||||||
\(945\) | −0.775418 | + | 0.0758915i | −0.0252243 | + | 0.00246875i | ||||
\(946\) | 67.3493 | − | 43.2828i | 2.18971 | − | 1.40724i | ||||
\(947\) | −48.5829 | − | 19.4496i | −1.57873 | − | 0.632029i | −0.593744 | − | 0.804654i | \(-0.702351\pi\) |
−0.984988 | + | 0.172626i | \(0.944775\pi\) | |||||||
\(948\) | 18.6351 | − | 26.1694i | 0.605241 | − | 0.849941i | ||||
\(949\) | −7.45721 | + | 2.98542i | −0.242071 | + | 0.0969107i | ||||
\(950\) | 19.9835 | − | 82.3730i | 0.648350 | − | 2.67253i | ||||
\(951\) | −15.7227 | + | 24.4650i | −0.509843 | + | 0.793331i | ||||
\(952\) | 55.2532 | + | 7.81108i | 1.79077 | + | 0.253159i | ||||
\(953\) | 9.80977 | − | 33.4090i | 0.317769 | − | 1.08222i | −0.633469 | − | 0.773768i | \(-0.718370\pi\) |
0.951239 | − | 0.308456i | \(-0.0998121\pi\) | |||||||
\(954\) | 2.14340 | + | 11.1210i | 0.0693950 | + | 0.360055i | ||||
\(955\) | −5.76447 | − | 1.99510i | −0.186534 | − | 0.0645600i | ||||
\(956\) | −5.27038 | − | 21.7248i | −0.170456 | − | 0.702630i | ||||
\(957\) | −12.6007 | − | 17.6952i | −0.407322 | − | 0.572004i | ||||
\(958\) | −32.6746 | − | 20.9987i | −1.05567 | − | 0.678437i | ||||
\(959\) | −14.9011 | + | 9.62613i | −0.481180 | + | 0.310844i | ||||
\(960\) | −3.62564 | − | 0.521289i | −0.117017 | − | 0.0168245i | ||||
\(961\) | 29.8631 | + | 2.85158i | 0.963326 | + | 0.0919864i | ||||
\(962\) | −12.7460 | + | 10.0236i | −0.410949 | + | 0.323174i | ||||
\(963\) | 3.99084 | − | 7.74115i | 0.128603 | − | 0.249455i | ||||
\(964\) | 32.5079 | + | 93.9255i | 1.04701 | + | 3.02514i | ||||
\(965\) | −1.51794 | −0.0488642 | ||||||||
\(966\) | −27.8999 | − | 9.76212i | −0.897663 | − | 0.314091i | ||||
\(967\) | −24.4425 | −0.786017 | −0.393008 | − | 0.919535i | \(-0.628566\pi\) | ||||
−0.393008 | + | 0.919535i | \(0.628566\pi\) | |||||||
\(968\) | −4.02016 | − | 11.6155i | −0.129213 | − | 0.373336i | ||||
\(969\) | −21.5349 | + | 41.7719i | −0.691801 | + | 1.34191i | ||||
\(970\) | 5.04384 | − | 3.96652i | 0.161948 | − | 0.127357i | ||||
\(971\) | −29.3258 | − | 2.80027i | −0.941109 | − | 0.0898651i | −0.386789 | − | 0.922168i | \(-0.626416\pi\) |
−0.554321 | + | 0.832303i | \(0.687022\pi\) | |||||||
\(972\) | −3.39183 | − | 0.487672i | −0.108793 | − | 0.0156421i | ||||
\(973\) | 1.26083 | + | 25.2152i | 0.0404204 | + | 0.808362i | ||||
\(974\) | 33.9288 | + | 21.8047i | 1.08715 | + | 0.698668i | ||||
\(975\) | 2.72875 | + | 3.83199i | 0.0873900 | + | 0.122722i | ||||
\(976\) | −3.04119 | − | 12.5360i | −0.0973462 | − | 0.401266i | ||||
\(977\) | 16.4245 | + | 5.68457i | 0.525466 | + | 0.181866i | 0.576906 | − | 0.816811i | \(-0.304260\pi\) |
−0.0514401 | + | 0.998676i | \(0.516381\pi\) | |||||||
\(978\) | 4.86825 | + | 25.2589i | 0.155669 | + | 0.807689i | ||||
\(979\) | 0.777159 | − | 2.64676i | 0.0248381 | − | 0.0845908i | ||||
\(980\) | −5.53177 | + | 4.39267i | −0.176706 | + | 0.140319i | ||||
\(981\) | 5.74751 | − | 8.94329i | 0.183504 | − | 0.285537i | ||||
\(982\) | 2.86540 | − | 11.8113i | 0.0914385 | − | 0.376915i | ||||
\(983\) | −19.5685 | + | 7.83405i | −0.624139 | + | 0.249868i | −0.662104 | − | 0.749412i | \(-0.730337\pi\) |
0.0379656 | + | 0.999279i | \(0.487912\pi\) | |||||||
\(984\) | −2.12442 | + | 2.98334i | −0.0677241 | + | 0.0951053i | ||||
\(985\) | −3.09549 | − | 1.23925i | −0.0986304 | − | 0.0394856i | ||||
\(986\) | −70.4670 | + | 45.2864i | −2.24413 | + | 1.44221i | ||||
\(987\) | 11.9904 | − | 8.58108i | 0.381659 | − | 0.273139i | ||||
\(988\) | 24.2975i | 0.773008i | ||||||||
\(989\) | 13.8270 | + | 40.7058i | 0.439673 | + | 1.29437i | ||||
\(990\) | 2.27766 | − | 1.31501i | 0.0723888 | − | 0.0417937i | ||||
\(991\) | −38.9567 | − | 7.50829i | −1.23750 | − | 0.238509i | −0.471800 | − | 0.881706i | \(-0.656395\pi\) |
−0.765701 | + | 0.643197i | \(0.777608\pi\) | |||||||
\(992\) | −35.7016 | + | 1.70067i | −1.13353 | + | 0.0539965i | ||||
\(993\) | 30.5055 | − | 4.38603i | 0.968063 | − | 0.139186i | ||||
\(994\) | −47.5820 | − | 16.3426i | −1.50921 | − | 0.518355i | ||||
\(995\) | −0.202911 | + | 1.41128i | −0.00643272 | + | 0.0447405i | ||||
\(996\) | 45.5610 | + | 11.0530i | 1.44365 | + | 0.350227i | ||||
\(997\) | −25.2776 | − | 1.20412i | −0.800549 | − | 0.0381348i | −0.356680 | − | 0.934227i | \(-0.616091\pi\) |
−0.443869 | + | 0.896092i | \(0.646394\pi\) | |||||||
\(998\) | −85.7753 | + | 8.19055i | −2.71517 | + | 0.259267i | ||||
\(999\) | 5.26153 | − | 5.01686i | 0.166468 | − | 0.158726i |
(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 | 483.2.bf.a.145.29 | yes | 640 | |
7.3 | odd | 6 | inner | 483.2.bf.a.283.4 | yes | 640 | |
23.10 | odd | 22 | inner | 483.2.bf.a.355.4 | yes | 640 | |
161.10 | even | 66 | inner | 483.2.bf.a.10.29 | ✓ | 640 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
483.2.bf.a.10.29 | ✓ | 640 | 161.10 | even | 66 | inner | |
483.2.bf.a.145.29 | yes | 640 | 1.1 | even | 1 | trivial | |
483.2.bf.a.283.4 | yes | 640 | 7.3 | odd | 6 | inner | |
483.2.bf.a.355.4 | yes | 640 | 23.10 | odd | 22 | inner |