Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [403,2,Mod(118,403)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(403, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("403.118");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 403 = 13 \cdot 31 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 403.h (of order \(3\), degree \(2\), 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: | \(3.21797120146\) |
Analytic rank: | \(0\) |
Dimension: | \(34\) |
Relative dimension: | \(17\) over \(\Q(\zeta_{3})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 118.10 | ||
Character | \(\chi\) | \(=\) | 403.118 |
Dual form | 403.2.h.b.222.10 |
$q$-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 \(\left(\mathbb{Z}/403\mathbb{Z}\right)^\times\).
\(n\) | \(249\) | \(313\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.680422 | 0.481131 | 0.240565 | − | 0.970633i | \(-0.422667\pi\) | ||||
0.240565 | + | 0.970633i | \(0.422667\pi\) | |||||||
\(3\) | 0.896149 | + | 1.55218i | 0.517392 | + | 0.896149i | 0.999796 | + | 0.0202004i | \(0.00643043\pi\) |
−0.482404 | + | 0.875949i | \(0.660236\pi\) | |||||||
\(4\) | −1.53703 | −0.768513 | ||||||||
\(5\) | −0.204382 | + | 0.354001i | −0.0914026 | + | 0.158314i | −0.908102 | − | 0.418750i | \(-0.862468\pi\) |
0.816699 | + | 0.577064i | \(0.195802\pi\) | |||||||
\(6\) | 0.609760 | + | 1.05613i | 0.248933 | + | 0.431165i | ||||
\(7\) | 1.47430 | + | 2.55357i | 0.557234 | + | 0.965158i | 0.997726 | + | 0.0674015i | \(0.0214708\pi\) |
−0.440492 | + | 0.897757i | \(0.645196\pi\) | |||||||
\(8\) | −2.40667 | −0.850886 | ||||||||
\(9\) | −0.106167 | + | 0.183887i | −0.0353891 | + | 0.0612957i | ||||
\(10\) | −0.139066 | + | 0.240870i | −0.0439766 | + | 0.0761697i | ||||
\(11\) | −2.64506 | + | 4.58137i | −0.797514 | + | 1.38134i | 0.123716 | + | 0.992318i | \(0.460519\pi\) |
−0.921230 | + | 0.389018i | \(0.872814\pi\) | |||||||
\(12\) | −1.37740 | − | 2.38574i | −0.397623 | − | 0.688702i | ||||
\(13\) | −0.500000 | + | 0.866025i | −0.138675 | + | 0.240192i | ||||
\(14\) | 1.00315 | + | 1.73750i | 0.268103 | + | 0.464367i | ||||
\(15\) | −0.732628 | −0.189164 | ||||||||
\(16\) | 1.43650 | 0.359125 | ||||||||
\(17\) | −3.14250 | − | 5.44297i | −0.762169 | − | 1.32011i | −0.941731 | − | 0.336368i | \(-0.890801\pi\) |
0.179562 | − | 0.983747i | \(-0.442532\pi\) | |||||||
\(18\) | −0.0722385 | + | 0.125121i | −0.0170268 | + | 0.0294913i | ||||
\(19\) | 1.61734 | + | 2.80131i | 0.371042 | + | 0.642664i | 0.989726 | − | 0.142976i | \(-0.0456671\pi\) |
−0.618684 | + | 0.785640i | \(0.712334\pi\) | |||||||
\(20\) | 0.314141 | − | 0.544108i | 0.0702441 | − | 0.121666i | ||||
\(21\) | −2.64239 | + | 4.57676i | −0.576617 | + | 0.998730i | ||||
\(22\) | −1.79975 | + | 3.11727i | −0.383709 | + | 0.664603i | ||||
\(23\) | 1.03491 | 0.215794 | 0.107897 | − | 0.994162i | \(-0.465588\pi\) | ||||
0.107897 | + | 0.994162i | \(0.465588\pi\) | |||||||
\(24\) | −2.15674 | − | 3.73558i | −0.440242 | − | 0.762521i | ||||
\(25\) | 2.41646 | + | 4.18542i | 0.483291 | + | 0.837085i | ||||
\(26\) | −0.340211 | + | 0.589263i | −0.0667208 | + | 0.115564i | ||||
\(27\) | 4.99633 | 0.961544 | ||||||||
\(28\) | −2.26604 | − | 3.92490i | −0.428242 | − | 0.741737i | ||||
\(29\) | −0.536694 | −0.0996616 | −0.0498308 | − | 0.998758i | \(-0.515868\pi\) | ||||
−0.0498308 | + | 0.998758i | \(0.515868\pi\) | |||||||
\(30\) | −0.498496 | −0.0910126 | ||||||||
\(31\) | 4.66754 | + | 3.03546i | 0.838316 | + | 0.545185i | ||||
\(32\) | 5.79077 | 1.02367 | ||||||||
\(33\) | −9.48146 | −1.65051 | ||||||||
\(34\) | −2.13823 | − | 3.70352i | −0.366703 | − | 0.635148i | ||||
\(35\) | −1.20529 | −0.203731 | ||||||||
\(36\) | 0.163182 | − | 0.282639i | 0.0271970 | − | 0.0471065i | ||||
\(37\) | −2.42298 | − | 4.19672i | −0.398335 | − | 0.689936i | 0.595186 | − | 0.803588i | \(-0.297078\pi\) |
−0.993521 | + | 0.113652i | \(0.963745\pi\) | |||||||
\(38\) | 1.10047 | + | 1.90607i | 0.178520 | + | 0.309206i | ||||
\(39\) | −1.79230 | −0.286997 | ||||||||
\(40\) | 0.491881 | − | 0.851963i | 0.0777732 | − | 0.134707i | ||||
\(41\) | −4.29037 | + | 7.43113i | −0.670043 | + | 1.16055i | 0.307849 | + | 0.951435i | \(0.400391\pi\) |
−0.977892 | + | 0.209113i | \(0.932942\pi\) | |||||||
\(42\) | −1.79794 | + | 3.11413i | −0.277428 | + | 0.480520i | ||||
\(43\) | −1.91684 | − | 3.32007i | −0.292316 | − | 0.506306i | 0.682041 | − | 0.731314i | \(-0.261092\pi\) |
−0.974357 | + | 0.225008i | \(0.927759\pi\) | |||||||
\(44\) | 4.06552 | − | 7.04169i | 0.612900 | − | 1.06157i | ||||
\(45\) | −0.0433974 | − | 0.0751665i | −0.00646931 | − | 0.0112052i | ||||
\(46\) | 0.704175 | 0.103825 | ||||||||
\(47\) | 5.01758 | 0.731889 | 0.365944 | − | 0.930637i | \(-0.380746\pi\) | ||||
0.365944 | + | 0.930637i | \(0.380746\pi\) | |||||||
\(48\) | 1.28732 | + | 2.22970i | 0.185809 | + | 0.321830i | ||||
\(49\) | −0.847142 | + | 1.46729i | −0.121020 | + | 0.209613i | ||||
\(50\) | 1.64421 | + | 2.84785i | 0.232526 | + | 0.402747i | ||||
\(51\) | 5.63230 | − | 9.75543i | 0.788680 | − | 1.36603i | ||||
\(52\) | 0.768513 | − | 1.33110i | 0.106574 | − | 0.184591i | ||||
\(53\) | 7.09395 | − | 12.2871i | 0.974429 | − | 1.68776i | 0.292623 | − | 0.956228i | \(-0.405472\pi\) |
0.681806 | − | 0.731533i | \(-0.261195\pi\) | |||||||
\(54\) | 3.39961 | 0.462629 | ||||||||
\(55\) | −1.08121 | − | 1.87270i | −0.145790 | − | 0.252515i | ||||
\(56\) | −3.54816 | − | 6.14560i | −0.474143 | − | 0.821240i | ||||
\(57\) | −2.89875 | + | 5.02078i | −0.383949 | + | 0.665019i | ||||
\(58\) | −0.365178 | −0.0479503 | ||||||||
\(59\) | −0.839102 | − | 1.45337i | −0.109242 | − | 0.189212i | 0.806222 | − | 0.591614i | \(-0.201509\pi\) |
−0.915463 | + | 0.402401i | \(0.868176\pi\) | |||||||
\(60\) | 1.12607 | 0.145375 | ||||||||
\(61\) | 0.829504 | 0.106207 | 0.0531036 | − | 0.998589i | \(-0.483089\pi\) | ||||
0.0531036 | + | 0.998589i | \(0.483089\pi\) | |||||||
\(62\) | 3.17590 | + | 2.06539i | 0.403340 | + | 0.262305i | ||||
\(63\) | −0.626091 | −0.0788801 | ||||||||
\(64\) | 1.06716 | 0.133395 | ||||||||
\(65\) | −0.204382 | − | 0.354001i | −0.0253505 | − | 0.0439084i | ||||
\(66\) | −6.45139 | −0.794112 | ||||||||
\(67\) | 2.70677 | − | 4.68826i | 0.330685 | − | 0.572763i | −0.651962 | − | 0.758252i | \(-0.726054\pi\) |
0.982646 | + | 0.185489i | \(0.0593870\pi\) | |||||||
\(68\) | 4.83011 | + | 8.36599i | 0.585737 | + | 1.01453i | ||||
\(69\) | 0.927433 | + | 1.60636i | 0.111650 | + | 0.193383i | ||||
\(70\) | −0.820103 | −0.0980211 | ||||||||
\(71\) | 3.75892 | − | 6.51064i | 0.446102 | − | 0.772671i | −0.552026 | − | 0.833827i | \(-0.686145\pi\) |
0.998128 | + | 0.0611556i | \(0.0194786\pi\) | |||||||
\(72\) | 0.255510 | − | 0.442555i | 0.0301121 | − | 0.0521557i | ||||
\(73\) | 6.20487 | − | 10.7471i | 0.726225 | − | 1.25786i | −0.232243 | − | 0.972658i | \(-0.574606\pi\) |
0.958468 | − | 0.285201i | \(-0.0920603\pi\) | |||||||
\(74\) | −1.64865 | − | 2.85554i | −0.191651 | − | 0.331950i | ||||
\(75\) | −4.33101 | + | 7.50153i | −0.500102 | + | 0.866202i | ||||
\(76\) | −2.48589 | − | 4.30568i | −0.285151 | − | 0.493896i | ||||
\(77\) | −15.5985 | −1.77761 | ||||||||
\(78\) | −1.21952 | −0.138083 | ||||||||
\(79\) | 4.37564 | + | 7.57884i | 0.492298 | + | 0.852686i | 0.999961 | − | 0.00887052i | \(-0.00282361\pi\) |
−0.507662 | + | 0.861556i | \(0.669490\pi\) | |||||||
\(80\) | −0.293596 | + | 0.508522i | −0.0328250 | + | 0.0568545i | ||||
\(81\) | 4.79596 | + | 8.30684i | 0.532884 | + | 0.922983i | ||||
\(82\) | −2.91926 | + | 5.05630i | −0.322378 | + | 0.558375i | ||||
\(83\) | −5.05412 | + | 8.75399i | −0.554762 | + | 0.960875i | 0.443160 | + | 0.896442i | \(0.353857\pi\) |
−0.997922 | + | 0.0644331i | \(0.979476\pi\) | |||||||
\(84\) | 4.06143 | − | 7.03460i | 0.443138 | − | 0.767537i | ||||
\(85\) | 2.56909 | 0.278657 | ||||||||
\(86\) | −1.30426 | − | 2.25905i | −0.140642 | − | 0.243599i | ||||
\(87\) | −0.480958 | − | 0.833044i | −0.0515641 | − | 0.0893117i | ||||
\(88\) | 6.36578 | − | 11.0258i | 0.678594 | − | 1.17536i | ||||
\(89\) | 17.4073 | 1.84517 | 0.922583 | − | 0.385798i | \(-0.126074\pi\) | ||||
0.922583 | + | 0.385798i | \(0.126074\pi\) | |||||||
\(90\) | −0.0295286 | − | 0.0511450i | −0.00311258 | − | 0.00539115i | ||||
\(91\) | −2.94861 | −0.309098 | ||||||||
\(92\) | −1.59068 | −0.165840 | ||||||||
\(93\) | −0.528756 | + | 9.96508i | −0.0548295 | + | 1.03333i | ||||
\(94\) | 3.41407 | 0.352134 | ||||||||
\(95\) | −1.32222 | −0.135657 | ||||||||
\(96\) | 5.18939 | + | 8.98829i | 0.529640 | + | 0.917364i | ||||
\(97\) | 12.7634 | 1.29592 | 0.647962 | − | 0.761672i | \(-0.275621\pi\) | ||||
0.647962 | + | 0.761672i | \(0.275621\pi\) | |||||||
\(98\) | −0.576414 | + | 0.998378i | −0.0582266 | + | 0.100851i | ||||
\(99\) | −0.561637 | − | 0.972783i | −0.0564466 | − | 0.0977684i | ||||
\(100\) | −3.71416 | − | 6.43311i | −0.371416 | − | 0.643311i | ||||
\(101\) | −14.2543 | −1.41835 | −0.709176 | − | 0.705031i | \(-0.750933\pi\) | ||||
−0.709176 | + | 0.705031i | \(0.750933\pi\) | |||||||
\(102\) | 3.83234 | − | 6.63781i | 0.379458 | − | 0.657241i | ||||
\(103\) | −5.32940 | + | 9.23080i | −0.525122 | + | 0.909538i | 0.474450 | + | 0.880282i | \(0.342647\pi\) |
−0.999572 | + | 0.0292552i | \(0.990686\pi\) | |||||||
\(104\) | 1.20333 | − | 2.08424i | 0.117997 | − | 0.204376i | ||||
\(105\) | −1.08012 | − | 1.87082i | −0.105409 | − | 0.182573i | ||||
\(106\) | 4.82688 | − | 8.36040i | 0.468828 | − | 0.812034i | ||||
\(107\) | 4.16287 | + | 7.21031i | 0.402440 | + | 0.697047i | 0.994020 | − | 0.109200i | \(-0.0348288\pi\) |
−0.591580 | + | 0.806247i | \(0.701495\pi\) | |||||||
\(108\) | −7.67949 | −0.738959 | ||||||||
\(109\) | −8.84512 | −0.847209 | −0.423605 | − | 0.905847i | \(-0.639235\pi\) | ||||
−0.423605 | + | 0.905847i | \(0.639235\pi\) | |||||||
\(110\) | −0.735676 | − | 1.27423i | −0.0701439 | − | 0.121493i | ||||
\(111\) | 4.34270 | − | 7.52177i | 0.412191 | − | 0.713935i | ||||
\(112\) | 2.11784 | + | 3.66821i | 0.200117 | + | 0.346613i | ||||
\(113\) | −3.58245 | + | 6.20498i | −0.337009 | + | 0.583716i | −0.983869 | − | 0.178893i | \(-0.942748\pi\) |
0.646860 | + | 0.762609i | \(0.276082\pi\) | |||||||
\(114\) | −1.97237 | + | 3.41625i | −0.184730 | + | 0.319961i | ||||
\(115\) | −0.211517 | + | 0.366358i | −0.0197241 | + | 0.0341631i | ||||
\(116\) | 0.824913 | 0.0765912 | ||||||||
\(117\) | −0.106167 | − | 0.183887i | −0.00981517 | − | 0.0170004i | ||||
\(118\) | −0.570944 | − | 0.988903i | −0.0525596 | − | 0.0910359i | ||||
\(119\) | 9.26600 | − | 16.0492i | 0.849413 | − | 1.47123i | ||||
\(120\) | 1.76319 | 0.160957 | ||||||||
\(121\) | −8.49264 | − | 14.7097i | −0.772058 | − | 1.33724i | ||||
\(122\) | 0.564413 | 0.0510995 | ||||||||
\(123\) | −15.3792 | −1.38670 | ||||||||
\(124\) | −7.17414 | − | 4.66559i | −0.644257 | − | 0.418982i | ||||
\(125\) | −4.01935 | −0.359501 | ||||||||
\(126\) | −0.426006 | −0.0379516 | ||||||||
\(127\) | 5.33319 | + | 9.23736i | 0.473245 | + | 0.819684i | 0.999531 | − | 0.0306238i | \(-0.00974938\pi\) |
−0.526286 | + | 0.850307i | \(0.676416\pi\) | |||||||
\(128\) | −10.8554 | −0.959492 | ||||||||
\(129\) | 3.43555 | − | 5.95055i | 0.302484 | − | 0.523917i | ||||
\(130\) | −0.139066 | − | 0.240870i | −0.0121969 | − | 0.0211257i | ||||
\(131\) | −10.4218 | − | 18.0511i | −0.910555 | − | 1.57713i | −0.813282 | − | 0.581870i | \(-0.802321\pi\) |
−0.0972734 | − | 0.995258i | \(-0.531012\pi\) | |||||||
\(132\) | 14.5733 | 1.26844 | ||||||||
\(133\) | −4.76889 | + | 8.25996i | −0.413515 | + | 0.716229i | ||||
\(134\) | 1.84175 | − | 3.19000i | 0.159103 | − | 0.275574i | ||||
\(135\) | −1.02116 | + | 1.76870i | −0.0878876 | + | 0.152226i | ||||
\(136\) | 7.56297 | + | 13.0994i | 0.648519 | + | 1.12327i | ||||
\(137\) | 5.41085 | − | 9.37187i | 0.462280 | − | 0.800693i | −0.536794 | − | 0.843714i | \(-0.680365\pi\) |
0.999074 | + | 0.0430202i | \(0.0136980\pi\) | |||||||
\(138\) | 0.631046 | + | 1.09300i | 0.0537182 | + | 0.0930426i | ||||
\(139\) | 0.890137 | 0.0755004 | 0.0377502 | − | 0.999287i | \(-0.487981\pi\) | ||||
0.0377502 | + | 0.999287i | \(0.487981\pi\) | |||||||
\(140\) | 1.85256 | 0.156570 | ||||||||
\(141\) | 4.49650 | + | 7.78816i | 0.378673 | + | 0.655882i | ||||
\(142\) | 2.55765 | − | 4.42998i | 0.214633 | − | 0.371756i | ||||
\(143\) | −2.64506 | − | 4.58137i | −0.221191 | − | 0.383114i | ||||
\(144\) | −0.152509 | + | 0.264154i | −0.0127091 | + | 0.0220128i | ||||
\(145\) | 0.109691 | − | 0.189990i | 0.00910932 | − | 0.0157778i | ||||
\(146\) | 4.22193 | − | 7.31259i | 0.349409 | − | 0.605195i | ||||
\(147\) | −3.03666 | −0.250460 | ||||||||
\(148\) | 3.72418 | + | 6.45047i | 0.306126 | + | 0.530225i | ||||
\(149\) | −2.08855 | − | 3.61748i | −0.171101 | − | 0.296355i | 0.767704 | − | 0.640804i | \(-0.221399\pi\) |
−0.938805 | + | 0.344449i | \(0.888066\pi\) | |||||||
\(150\) | −2.94691 | + | 5.10420i | −0.240615 | + | 0.416757i | ||||
\(151\) | −11.9406 | −0.971709 | −0.485855 | − | 0.874040i | \(-0.661492\pi\) | ||||
−0.485855 | + | 0.874040i | \(0.661492\pi\) | |||||||
\(152\) | −3.89239 | − | 6.74182i | −0.315715 | − | 0.546834i | ||||
\(153\) | 1.33452 | 0.107890 | ||||||||
\(154\) | −10.6135 | −0.855263 | ||||||||
\(155\) | −2.02852 | + | 1.03192i | −0.162935 | + | 0.0828857i | ||||
\(156\) | 2.75481 | 0.220561 | ||||||||
\(157\) | −4.11913 | −0.328742 | −0.164371 | − | 0.986399i | \(-0.552559\pi\) | ||||
−0.164371 | + | 0.986399i | \(0.552559\pi\) | |||||||
\(158\) | 2.97728 | + | 5.15680i | 0.236860 | + | 0.410253i | ||||
\(159\) | 25.4290 | 2.01665 | ||||||||
\(160\) | −1.18353 | + | 2.04993i | −0.0935663 | + | 0.162062i | ||||
\(161\) | 1.52577 | + | 2.64271i | 0.120248 | + | 0.208275i | ||||
\(162\) | 3.26328 | + | 5.65216i | 0.256387 | + | 0.444075i | ||||
\(163\) | −21.5273 | −1.68615 | −0.843076 | − | 0.537794i | \(-0.819258\pi\) | ||||
−0.843076 | + | 0.537794i | \(0.819258\pi\) | |||||||
\(164\) | 6.59440 | − | 11.4218i | 0.514937 | − | 0.891896i | ||||
\(165\) | 1.93784 | − | 3.35644i | 0.150861 | − | 0.261299i | ||||
\(166\) | −3.43893 | + | 5.95641i | −0.266913 | + | 0.462307i | ||||
\(167\) | −1.29365 | − | 2.24067i | −0.100106 | − | 0.173388i | 0.811622 | − | 0.584182i | \(-0.198585\pi\) |
−0.911728 | + | 0.410794i | \(0.865251\pi\) | |||||||
\(168\) | 6.35937 | − | 11.0147i | 0.490636 | − | 0.849806i | ||||
\(169\) | −0.500000 | − | 0.866025i | −0.0384615 | − | 0.0666173i | ||||
\(170\) | 1.74806 | 0.134070 | ||||||||
\(171\) | −0.686833 | −0.0525234 | ||||||||
\(172\) | 2.94624 | + | 5.10303i | 0.224648 | + | 0.389102i | ||||
\(173\) | −2.18057 | + | 3.77686i | −0.165786 | + | 0.287149i | −0.936934 | − | 0.349506i | \(-0.886349\pi\) |
0.771148 | + | 0.636656i | \(0.219683\pi\) | |||||||
\(174\) | −0.327254 | − | 0.566821i | −0.0248091 | − | 0.0429706i | ||||
\(175\) | −7.12518 | + | 12.3412i | −0.538613 | + | 0.932905i | ||||
\(176\) | −3.79963 | + | 6.58115i | −0.286408 | + | 0.496073i | ||||
\(177\) | 1.50392 | − | 2.60487i | 0.113042 | − | 0.195794i | ||||
\(178\) | 11.8443 | 0.887766 | ||||||||
\(179\) | −3.66673 | − | 6.35097i | −0.274064 | − | 0.474693i | 0.695834 | − | 0.718202i | \(-0.255035\pi\) |
−0.969899 | + | 0.243509i | \(0.921701\pi\) | |||||||
\(180\) | 0.0667030 | + | 0.115533i | 0.00497175 | + | 0.00861132i | ||||
\(181\) | −7.88979 | + | 13.6655i | −0.586443 | + | 1.01575i | 0.408251 | + | 0.912870i | \(0.366139\pi\) |
−0.994694 | + | 0.102879i | \(0.967194\pi\) | |||||||
\(182\) | −2.00630 | −0.148717 | ||||||||
\(183\) | 0.743360 | + | 1.28754i | 0.0549507 | + | 0.0951775i | ||||
\(184\) | −2.49068 | −0.183616 | ||||||||
\(185\) | 1.98085 | 0.145635 | ||||||||
\(186\) | −0.359777 | + | 6.78046i | −0.0263801 | + | 0.497167i | ||||
\(187\) | 33.2484 | 2.43136 | ||||||||
\(188\) | −7.71215 | −0.562466 | ||||||||
\(189\) | 7.36611 | + | 12.7585i | 0.535805 | + | 0.928042i | ||||
\(190\) | −0.899667 | −0.0652687 | ||||||||
\(191\) | −3.24740 | + | 5.62467i | −0.234974 | + | 0.406987i | −0.959265 | − | 0.282508i | \(-0.908834\pi\) |
0.724291 | + | 0.689494i | \(0.242167\pi\) | |||||||
\(192\) | 0.956335 | + | 1.65642i | 0.0690176 | + | 0.119542i | ||||
\(193\) | 12.2799 | + | 21.2693i | 0.883924 | + | 1.53100i | 0.846942 | + | 0.531685i | \(0.178441\pi\) |
0.0369819 | + | 0.999316i | \(0.488226\pi\) | |||||||
\(194\) | 8.68448 | 0.623509 | ||||||||
\(195\) | 0.366314 | − | 0.634475i | 0.0262323 | − | 0.0454357i | ||||
\(196\) | 1.30208 | − | 2.25527i | 0.0930057 | − | 0.161091i | ||||
\(197\) | −7.18632 | + | 12.4471i | −0.512004 | + | 0.886818i | 0.487899 | + | 0.872900i | \(0.337764\pi\) |
−0.999903 | + | 0.0139174i | \(0.995570\pi\) | |||||||
\(198\) | −0.382150 | − | 0.661903i | −0.0271582 | − | 0.0470394i | ||||
\(199\) | 3.59714 | − | 6.23043i | 0.254995 | − | 0.441664i | −0.709899 | − | 0.704303i | \(-0.751260\pi\) |
0.964894 | + | 0.262639i | \(0.0845930\pi\) | |||||||
\(200\) | −5.81561 | − | 10.0729i | −0.411226 | − | 0.712264i | ||||
\(201\) | 9.70268 | 0.684374 | ||||||||
\(202\) | −9.69892 | −0.682413 | ||||||||
\(203\) | −0.791250 | − | 1.37049i | −0.0555349 | − | 0.0961892i | ||||
\(204\) | −8.65700 | + | 14.9944i | −0.606111 | + | 1.04981i | ||||
\(205\) | −1.75375 | − | 3.03758i | −0.122487 | − | 0.212154i | ||||
\(206\) | −3.62624 | + | 6.28084i | −0.252652 | + | 0.437607i | ||||
\(207\) | −0.109873 | + | 0.190306i | −0.00763673 | + | 0.0132272i | ||||
\(208\) | −0.718251 | + | 1.24405i | −0.0498017 | + | 0.0862591i | ||||
\(209\) | −17.1118 | −1.18365 | ||||||||
\(210\) | −0.734935 | − | 1.27294i | −0.0507153 | − | 0.0878415i | ||||
\(211\) | −0.499763 | − | 0.865614i | −0.0344051 | − | 0.0595914i | 0.848310 | − | 0.529500i | \(-0.177620\pi\) |
−0.882715 | + | 0.469908i | \(0.844287\pi\) | |||||||
\(212\) | −10.9036 | + | 18.8856i | −0.748862 | + | 1.29707i | ||||
\(213\) | 13.4742 | 0.923238 | ||||||||
\(214\) | 2.83251 | + | 4.90605i | 0.193626 | + | 0.335371i | ||||
\(215\) | 1.56707 | 0.106874 | ||||||||
\(216\) | −12.0245 | −0.818165 | ||||||||
\(217\) | −0.869885 | + | 16.3941i | −0.0590517 | + | 1.11290i | ||||
\(218\) | −6.01841 | −0.407618 | ||||||||
\(219\) | 22.2420 | 1.50297 | ||||||||
\(220\) | 1.66184 | + | 2.87839i | 0.112041 | + | 0.194061i | ||||
\(221\) | 6.28500 | 0.422775 | ||||||||
\(222\) | 2.95487 | − | 5.11798i | 0.198318 | − | 0.343496i | ||||
\(223\) | 3.94546 | + | 6.83374i | 0.264208 | + | 0.457621i | 0.967356 | − | 0.253423i | \(-0.0815563\pi\) |
−0.703148 | + | 0.711043i | \(0.748223\pi\) | |||||||
\(224\) | 8.53735 | + | 14.7871i | 0.570426 | + | 0.988006i | ||||
\(225\) | −1.02619 | −0.0684129 | ||||||||
\(226\) | −2.43758 | + | 4.22201i | −0.162145 | + | 0.280844i | ||||
\(227\) | −2.16296 | + | 3.74636i | −0.143561 | + | 0.248655i | −0.928835 | − | 0.370493i | \(-0.879189\pi\) |
0.785274 | + | 0.619148i | \(0.212522\pi\) | |||||||
\(228\) | 4.45545 | − | 7.71707i | 0.295070 | − | 0.511076i | ||||
\(229\) | 7.34153 | + | 12.7159i | 0.485142 | + | 0.840290i | 0.999854 | − | 0.0170728i | \(-0.00543469\pi\) |
−0.514713 | + | 0.857363i | \(0.672101\pi\) | |||||||
\(230\) | −0.143921 | + | 0.249278i | −0.00948986 | + | 0.0164369i | ||||
\(231\) | −13.9786 | − | 24.2116i | −0.919721 | − | 1.59300i | ||||
\(232\) | 1.29165 | 0.0848007 | ||||||||
\(233\) | −27.4006 | −1.79507 | −0.897537 | − | 0.440939i | \(-0.854645\pi\) | ||||
−0.897537 | + | 0.440939i | \(0.854645\pi\) | |||||||
\(234\) | −0.0722385 | − | 0.125121i | −0.00472238 | − | 0.00817940i | ||||
\(235\) | −1.02550 | + | 1.77623i | −0.0668965 | + | 0.115868i | ||||
\(236\) | 1.28972 | + | 2.23386i | 0.0839538 | + | 0.145412i | ||||
\(237\) | −7.84246 | + | 13.5835i | −0.509422 | + | 0.882345i | ||||
\(238\) | 6.30479 | − | 10.9202i | 0.408679 | − | 0.707853i | ||||
\(239\) | 5.29053 | − | 9.16346i | 0.342216 | − | 0.592735i | −0.642628 | − | 0.766178i | \(-0.722156\pi\) |
0.984844 | + | 0.173443i | \(0.0554893\pi\) | |||||||
\(240\) | −1.05242 | −0.0679335 | ||||||||
\(241\) | −6.83191 | − | 11.8332i | −0.440082 | − | 0.762244i | 0.557613 | − | 0.830101i | \(-0.311717\pi\) |
−0.997695 | + | 0.0678567i | \(0.978384\pi\) | |||||||
\(242\) | −5.77858 | − | 10.0088i | −0.371461 | − | 0.643390i | ||||
\(243\) | −1.10130 | + | 1.90750i | −0.0706482 | + | 0.122366i | ||||
\(244\) | −1.27497 | −0.0816216 | ||||||||
\(245\) | −0.346282 | − | 0.599777i | −0.0221231 | − | 0.0383184i | ||||
\(246\) | −10.4644 | −0.667184 | ||||||||
\(247\) | −3.23467 | −0.205817 | ||||||||
\(248\) | −11.2332 | − | 7.30536i | −0.713311 | − | 0.463891i | ||||
\(249\) | −18.1170 | −1.14812 | ||||||||
\(250\) | −2.73485 | −0.172967 | ||||||||
\(251\) | −10.2064 | − | 17.6780i | −0.644223 | − | 1.11583i | −0.984480 | − | 0.175495i | \(-0.943847\pi\) |
0.340257 | − | 0.940333i | \(-0.389486\pi\) | |||||||
\(252\) | 0.962318 | 0.0606204 | ||||||||
\(253\) | −2.73739 | + | 4.74130i | −0.172098 | + | 0.298083i | ||||
\(254\) | 3.62882 | + | 6.28530i | 0.227693 | + | 0.394375i | ||||
\(255\) | 2.30229 | + | 3.98768i | 0.144175 | + | 0.249718i | ||||
\(256\) | −9.52058 | −0.595036 | ||||||||
\(257\) | 6.53703 | − | 11.3225i | 0.407769 | − | 0.706277i | −0.586870 | − | 0.809681i | \(-0.699640\pi\) |
0.994639 | + | 0.103404i | \(0.0329735\pi\) | |||||||
\(258\) | 2.33763 | − | 4.04889i | 0.145534 | − | 0.252073i | ||||
\(259\) | 7.14441 | − | 12.3745i | 0.443932 | − | 0.768912i | ||||
\(260\) | 0.314141 | + | 0.544108i | 0.0194822 | + | 0.0337442i | ||||
\(261\) | 0.0569793 | − | 0.0986911i | 0.00352693 | − | 0.00610883i | ||||
\(262\) | −7.09121 | − | 12.2823i | −0.438096 | − | 0.758805i | ||||
\(263\) | 10.8496 | 0.669012 | 0.334506 | − | 0.942394i | \(-0.391431\pi\) | ||||
0.334506 | + | 0.942394i | \(0.391431\pi\) | |||||||
\(264\) | 22.8187 | 1.40440 | ||||||||
\(265\) | 2.89976 | + | 5.02253i | 0.178131 | + | 0.308531i | ||||
\(266\) | −3.24486 | + | 5.62026i | −0.198955 | + | 0.344600i | ||||
\(267\) | 15.5995 | + | 27.0191i | 0.954674 | + | 1.65354i | ||||
\(268\) | −4.16038 | + | 7.20598i | −0.254135 | + | 0.440176i | ||||
\(269\) | 13.4683 | − | 23.3277i | 0.821174 | − | 1.42232i | −0.0836345 | − | 0.996496i | \(-0.526653\pi\) |
0.904809 | − | 0.425819i | \(-0.140014\pi\) | |||||||
\(270\) | −0.694821 | + | 1.20346i | −0.0422854 | + | 0.0732405i | ||||
\(271\) | 22.5954 | 1.37257 | 0.686285 | − | 0.727332i | \(-0.259240\pi\) | ||||
0.686285 | + | 0.727332i | \(0.259240\pi\) | |||||||
\(272\) | −4.51421 | − | 7.81884i | −0.273714 | − | 0.474087i | ||||
\(273\) | −2.64239 | − | 4.57676i | −0.159925 | − | 0.276998i | ||||
\(274\) | 3.68166 | − | 6.37683i | 0.222417 | − | 0.385238i | ||||
\(275\) | −25.5666 | −1.54173 | ||||||||
\(276\) | −1.42549 | − | 2.46902i | −0.0858044 | − | 0.148618i | ||||
\(277\) | 31.0264 | 1.86420 | 0.932098 | − | 0.362206i | \(-0.117976\pi\) | ||||
0.932098 | + | 0.362206i | \(0.117976\pi\) | |||||||
\(278\) | 0.605668 | 0.0363256 | ||||||||
\(279\) | −1.05372 | + | 0.536034i | −0.0630847 | + | 0.0320915i | ||||
\(280\) | 2.90073 | 0.173352 | ||||||||
\(281\) | −3.38810 | −0.202117 | −0.101059 | − | 0.994880i | \(-0.532223\pi\) | ||||
−0.101059 | + | 0.994880i | \(0.532223\pi\) | |||||||
\(282\) | 3.05952 | + | 5.29924i | 0.182191 | + | 0.315565i | ||||
\(283\) | 26.5583 | 1.57872 | 0.789362 | − | 0.613928i | \(-0.210411\pi\) | ||||
0.789362 | + | 0.613928i | \(0.210411\pi\) | |||||||
\(284\) | −5.77756 | + | 10.0070i | −0.342835 | + | 0.593808i | ||||
\(285\) | −1.18491 | − | 2.05232i | −0.0701878 | − | 0.121569i | ||||
\(286\) | −1.79975 | − | 3.11727i | −0.106422 | − | 0.184328i | ||||
\(287\) | −25.3012 | −1.49348 | ||||||||
\(288\) | −0.614790 | + | 1.06485i | −0.0362268 | + | 0.0627467i | ||||
\(289\) | −11.2506 | + | 19.4867i | −0.661802 | + | 1.14628i | ||||
\(290\) | 0.0746360 | − | 0.129273i | 0.00438278 | − | 0.00759119i | ||||
\(291\) | 11.4379 | + | 19.8110i | 0.670501 | + | 1.16134i | ||||
\(292\) | −9.53705 | + | 16.5186i | −0.558113 | + | 0.966681i | ||||
\(293\) | −1.34986 | − | 2.33803i | −0.0788597 | − | 0.136589i | 0.823899 | − | 0.566737i | \(-0.191795\pi\) |
−0.902758 | + | 0.430148i | \(0.858461\pi\) | |||||||
\(294\) | −2.06621 | −0.120504 | ||||||||
\(295\) | 0.685991 | 0.0399399 | ||||||||
\(296\) | 5.83131 | + | 10.1001i | 0.338938 | + | 0.587057i | ||||
\(297\) | −13.2156 | + | 22.8900i | −0.766845 | + | 1.32821i | ||||
\(298\) | −1.42110 | − | 2.46141i | −0.0823219 | − | 0.142586i | ||||
\(299\) | −0.517455 | + | 0.896258i | −0.0299252 | + | 0.0518319i | ||||
\(300\) | 6.65688 | − | 11.5300i | 0.384335 | − | 0.665688i | ||||
\(301\) | 5.65201 | − | 9.78958i | 0.325777 | − | 0.564262i | ||||
\(302\) | −8.12462 | −0.467519 | ||||||||
\(303\) | −12.7740 | − | 22.1251i | −0.733844 | − | 1.27106i | ||||
\(304\) | 2.32331 | + | 4.02408i | 0.133251 | + | 0.230797i | ||||
\(305\) | −0.169536 | + | 0.293645i | −0.00970760 | + | 0.0168141i | ||||
\(306\) | 0.908039 | 0.0519091 | ||||||||
\(307\) | −9.71769 | − | 16.8315i | −0.554618 | − | 0.960627i | −0.997933 | − | 0.0642607i | \(-0.979531\pi\) |
0.443315 | − | 0.896366i | \(-0.353802\pi\) | |||||||
\(308\) | 23.9752 | 1.36612 | ||||||||
\(309\) | −19.1038 | −1.08678 | ||||||||
\(310\) | −1.38025 | + | 0.702140i | −0.0783929 | + | 0.0398789i | ||||
\(311\) | 3.42372 | 0.194141 | 0.0970705 | − | 0.995278i | \(-0.469053\pi\) | ||||
0.0970705 | + | 0.995278i | \(0.469053\pi\) | |||||||
\(312\) | 4.31347 | 0.244202 | ||||||||
\(313\) | −11.6344 | − | 20.1514i | −0.657617 | − | 1.13903i | −0.981231 | − | 0.192837i | \(-0.938231\pi\) |
0.323614 | − | 0.946189i | \(-0.395102\pi\) | |||||||
\(314\) | −2.80274 | −0.158168 | ||||||||
\(315\) | 0.127962 | − | 0.221637i | 0.00720984 | − | 0.0124878i | ||||
\(316\) | −6.72548 | − | 11.6489i | −0.378338 | − | 0.655300i | ||||
\(317\) | 0.550293 | + | 0.953136i | 0.0309075 | + | 0.0535334i | 0.881065 | − | 0.472994i | \(-0.156827\pi\) |
−0.850158 | + | 0.526528i | \(0.823494\pi\) | |||||||
\(318\) | 17.3024 | 0.970271 | ||||||||
\(319\) | 1.41959 | − | 2.45879i | 0.0794816 | − | 0.137666i | ||||
\(320\) | −0.218109 | + | 0.377775i | −0.0121927 | + | 0.0211183i | ||||
\(321\) | −7.46111 | + | 12.9230i | −0.416439 | + | 0.721293i | ||||
\(322\) | 1.03817 | + | 1.79816i | 0.0578548 | + | 0.100207i | ||||
\(323\) | 10.1650 | − | 17.6062i | 0.565594 | − | 0.979637i | ||||
\(324\) | −7.37151 | − | 12.7678i | −0.409529 | − | 0.709324i | ||||
\(325\) | −4.83291 | −0.268082 | ||||||||
\(326\) | −14.6477 | −0.811260 | ||||||||
\(327\) | −7.92655 | − | 13.7292i | −0.438339 | − | 0.759226i | ||||
\(328\) | 10.3255 | − | 17.8843i | 0.570130 | − | 0.987494i | ||||
\(329\) | 7.39743 | + | 12.8127i | 0.407834 | + | 0.706388i | ||||
\(330\) | 1.31855 | − | 2.28380i | 0.0725838 | − | 0.125719i | ||||
\(331\) | 1.28540 | − | 2.22638i | 0.0706521 | − | 0.122373i | −0.828535 | − | 0.559937i | \(-0.810825\pi\) |
0.899187 | + | 0.437564i | \(0.144159\pi\) | |||||||
\(332\) | 7.76831 | − | 13.4551i | 0.426342 | − | 0.738445i | ||||
\(333\) | 1.02896 | 0.0563868 | ||||||||
\(334\) | −0.880227 | − | 1.52460i | −0.0481639 | − | 0.0834223i | ||||
\(335\) | 1.10643 | + | 1.91640i | 0.0604508 | + | 0.104704i | ||||
\(336\) | −3.79580 | + | 6.57452i | −0.207078 | + | 0.358669i | ||||
\(337\) | 21.7924 | 1.18711 | 0.593553 | − | 0.804795i | \(-0.297725\pi\) | ||||
0.593553 | + | 0.804795i | \(0.297725\pi\) | |||||||
\(338\) | −0.340211 | − | 0.589263i | −0.0185050 | − | 0.0320517i | ||||
\(339\) | −12.8416 | −0.697462 | ||||||||
\(340\) | −3.94876 | −0.214151 | ||||||||
\(341\) | −26.2525 | + | 13.3548i | −1.42165 | + | 0.723202i | ||||
\(342\) | −0.467336 | −0.0252706 | ||||||||
\(343\) | 15.6445 | 0.844722 | ||||||||
\(344\) | 4.61321 | + | 7.99031i | 0.248727 | + | 0.430809i | ||||
\(345\) | −0.758204 | −0.0408203 | ||||||||
\(346\) | −1.48371 | + | 2.56986i | −0.0797646 | + | 0.138156i | ||||
\(347\) | −17.8689 | − | 30.9498i | −0.959251 | − | 1.66147i | −0.724325 | − | 0.689459i | \(-0.757849\pi\) |
−0.234926 | − | 0.972013i | \(-0.575485\pi\) | |||||||
\(348\) | 0.739245 | + | 1.28041i | 0.0396277 | + | 0.0686372i | ||||
\(349\) | 1.11201 | 0.0595244 | 0.0297622 | − | 0.999557i | \(-0.490525\pi\) | ||||
0.0297622 | + | 0.999557i | \(0.490525\pi\) | |||||||
\(350\) | −4.84813 | + | 8.39720i | −0.259143 | + | 0.448849i | ||||
\(351\) | −2.49816 | + | 4.32695i | −0.133342 | + | 0.230955i | ||||
\(352\) | −15.3169 | + | 26.5297i | −0.816394 | + | 1.41404i | ||||
\(353\) | −4.73709 | − | 8.20489i | −0.252130 | − | 0.436702i | 0.711982 | − | 0.702198i | \(-0.247798\pi\) |
−0.964112 | + | 0.265496i | \(0.914464\pi\) | |||||||
\(354\) | 1.02330 | − | 1.77241i | 0.0543879 | − | 0.0942025i | ||||
\(355\) | 1.53651 | + | 2.66132i | 0.0815497 | + | 0.141248i | ||||
\(356\) | −26.7554 | −1.41803 | ||||||||
\(357\) | 33.2149 | 1.75792 | ||||||||
\(358\) | −2.49492 | − | 4.32134i | −0.131861 | − | 0.228390i | ||||
\(359\) | 5.38733 | − | 9.33114i | 0.284333 | − | 0.492479i | −0.688114 | − | 0.725602i | \(-0.741561\pi\) |
0.972447 | + | 0.233124i | \(0.0748947\pi\) | |||||||
\(360\) | 0.104443 | + | 0.180901i | 0.00550464 | + | 0.00953432i | ||||
\(361\) | 4.26845 | − | 7.39317i | 0.224655 | − | 0.389114i | ||||
\(362\) | −5.36838 | + | 9.29831i | −0.282156 | + | 0.488708i | ||||
\(363\) | 15.2214 | − | 26.3642i | 0.798914 | − | 1.38376i | ||||
\(364\) | 4.53209 | 0.237546 | ||||||||
\(365\) | 2.53633 | + | 4.39305i | 0.132758 | + | 0.229943i | ||||
\(366\) | 0.505798 | + | 0.876068i | 0.0264385 | + | 0.0457928i | ||||
\(367\) | 2.84961 | − | 4.93567i | 0.148748 | − | 0.257640i | −0.782017 | − | 0.623257i | \(-0.785809\pi\) |
0.930765 | + | 0.365618i | \(0.119142\pi\) | |||||||
\(368\) | 1.48665 | 0.0774969 | ||||||||
\(369\) | −0.910993 | − | 1.57789i | −0.0474244 | − | 0.0821415i | ||||
\(370\) | 1.34782 | 0.0700697 | ||||||||
\(371\) | 41.8346 | 2.17194 | ||||||||
\(372\) | 0.812712 | − | 15.3166i | 0.0421372 | − | 0.794128i | ||||
\(373\) | 33.3823 | 1.72847 | 0.864234 | − | 0.503090i | \(-0.167804\pi\) | ||||
0.864234 | + | 0.503090i | \(0.167804\pi\) | |||||||
\(374\) | 22.6229 | 1.16980 | ||||||||
\(375\) | −3.60193 | − | 6.23873i | −0.186003 | − | 0.322167i | ||||
\(376\) | −12.0756 | −0.622754 | ||||||||
\(377\) | 0.268347 | − | 0.464791i | 0.0138206 | − | 0.0239379i | ||||
\(378\) | 5.01206 | + | 8.68114i | 0.257793 | + | 0.446510i | ||||
\(379\) | −10.5145 | − | 18.2117i | −0.540096 | − | 0.935474i | −0.998898 | − | 0.0469352i | \(-0.985055\pi\) |
0.458802 | − | 0.888539i | \(-0.348279\pi\) | |||||||
\(380\) | 2.03229 | 0.104254 | ||||||||
\(381\) | −9.55868 | + | 16.5561i | −0.489706 | + | 0.848196i | ||||
\(382\) | −2.20960 | + | 3.82715i | −0.113053 | + | 0.195814i | ||||
\(383\) | −1.06401 | + | 1.84293i | −0.0543686 | + | 0.0941692i | −0.891929 | − | 0.452176i | \(-0.850648\pi\) |
0.837560 | + | 0.546345i | \(0.183981\pi\) | |||||||
\(384\) | −9.72807 | − | 16.8495i | −0.496434 | − | 0.859848i | ||||
\(385\) | 3.18805 | − | 5.52186i | 0.162478 | − | 0.281420i | ||||
\(386\) | 8.35549 | + | 14.4721i | 0.425283 | + | 0.736612i | ||||
\(387\) | 0.814023 | 0.0413791 | ||||||||
\(388\) | −19.6176 | −0.995935 | ||||||||
\(389\) | 7.48510 | + | 12.9646i | 0.379509 | + | 0.657330i | 0.990991 | − | 0.133929i | \(-0.0427595\pi\) |
−0.611481 | + | 0.791259i | \(0.709426\pi\) | |||||||
\(390\) | 0.249248 | − | 0.431710i | 0.0126212 | − | 0.0218605i | ||||
\(391\) | −3.25220 | − | 5.63298i | −0.164471 | − | 0.284872i | ||||
\(392\) | 2.03879 | − | 3.53129i | 0.102974 | − | 0.178357i | ||||
\(393\) | 18.6789 | − | 32.3529i | 0.942228 | − | 1.63199i | ||||
\(394\) | −4.88973 | + | 8.46926i | −0.246341 | + | 0.426675i | ||||
\(395\) | −3.57722 | −0.179989 | ||||||||
\(396\) | 0.863250 | + | 1.49519i | 0.0433800 | + | 0.0751363i | ||||
\(397\) | 16.7675 | + | 29.0422i | 0.841538 | + | 1.45759i | 0.888594 | + | 0.458694i | \(0.151682\pi\) |
−0.0470568 | + | 0.998892i | \(0.514984\pi\) | |||||||
\(398\) | 2.44757 | − | 4.23932i | 0.122686 | − | 0.212498i | ||||
\(399\) | −17.0945 | −0.855798 | ||||||||
\(400\) | 3.47124 | + | 6.01237i | 0.173562 | + | 0.300618i | ||||
\(401\) | 2.73709 | 0.136684 | 0.0683418 | − | 0.997662i | \(-0.478229\pi\) | ||||
0.0683418 | + | 0.997662i | \(0.478229\pi\) | |||||||
\(402\) | 6.60192 | 0.329274 | ||||||||
\(403\) | −4.96256 | + | 2.52448i | −0.247203 | + | 0.125753i | ||||
\(404\) | 21.9092 | 1.09002 | ||||||||
\(405\) | −3.92084 | −0.194828 | ||||||||
\(406\) | −0.538384 | − | 0.932508i | −0.0267195 | − | 0.0462796i | ||||
\(407\) | 25.6356 | 1.27071 | ||||||||
\(408\) | −13.5551 | + | 23.4781i | −0.671077 | + | 1.16234i | ||||
\(409\) | −16.8755 | − | 29.2292i | −0.834439 | − | 1.44529i | −0.894487 | − | 0.447095i | \(-0.852459\pi\) |
0.0600480 | − | 0.998195i | \(-0.480875\pi\) | |||||||
\(410\) | −1.19329 | − | 2.06684i | −0.0589324 | − | 0.102074i | ||||
\(411\) | 19.3957 | 0.956721 | ||||||||
\(412\) | 8.19143 | − | 14.1880i | 0.403563 | − | 0.698991i | ||||
\(413\) | 2.47418 | − | 4.28541i | 0.121747 | − | 0.210871i | ||||
\(414\) | −0.0747603 | + | 0.129489i | −0.00367427 | + | 0.00636402i | ||||
\(415\) | −2.06595 | − | 3.57832i | −0.101413 | − | 0.175653i | ||||
\(416\) | −2.89538 | + | 5.01495i | −0.141958 | + | 0.245878i | ||||
\(417\) | 0.797695 | + | 1.38165i | 0.0390633 | + | 0.0676596i | ||||
\(418\) | −11.6432 | −0.569489 | ||||||||
\(419\) | 0.531174 | 0.0259495 | 0.0129748 | − | 0.999916i | \(-0.495870\pi\) | ||||
0.0129748 | + | 0.999916i | \(0.495870\pi\) | |||||||
\(420\) | 1.66017 | + | 2.87549i | 0.0810079 | + | 0.140310i | ||||
\(421\) | −10.8943 | + | 18.8694i | −0.530954 | + | 0.919639i | 0.468394 | + | 0.883520i | \(0.344833\pi\) |
−0.999347 | + | 0.0361190i | \(0.988500\pi\) | |||||||
\(422\) | −0.340049 | − | 0.588983i | −0.0165533 | − | 0.0286712i | ||||
\(423\) | −0.532702 | + | 0.922667i | −0.0259009 | + | 0.0448616i | ||||
\(424\) | −17.0728 | + | 29.5710i | −0.829128 | + | 1.43609i | ||||
\(425\) | 15.1874 | − | 26.3054i | 0.736699 | − | 1.27600i | ||||
\(426\) | 9.16815 | 0.444198 | ||||||||
\(427\) | 1.22294 | + | 2.11820i | 0.0591823 | + | 0.102507i | ||||
\(428\) | −6.39845 | − | 11.0824i | −0.309281 | − | 0.535690i | ||||
\(429\) | 4.74073 | − | 8.21119i | 0.228885 | − | 0.396440i | ||||
\(430\) | 1.06627 | 0.0514202 | ||||||||
\(431\) | 7.83106 | + | 13.5638i | 0.377209 | + | 0.653345i | 0.990655 | − | 0.136392i | \(-0.0435505\pi\) |
−0.613446 | + | 0.789737i | \(0.710217\pi\) | |||||||
\(432\) | 7.17724 | 0.345315 | ||||||||
\(433\) | −22.5130 | −1.08190 | −0.540952 | − | 0.841053i | \(-0.681936\pi\) | ||||
−0.540952 | + | 0.841053i | \(0.681936\pi\) | |||||||
\(434\) | −0.591889 | + | 11.1549i | −0.0284116 | + | 0.535452i | ||||
\(435\) | 0.393197 | 0.0188524 | ||||||||
\(436\) | 13.5952 | 0.651091 | ||||||||
\(437\) | 1.67380 | + | 2.89910i | 0.0800685 | + | 0.138683i | ||||
\(438\) | 15.1339 | 0.723126 | ||||||||
\(439\) | −5.91881 | + | 10.2517i | −0.282489 | + | 0.489286i | −0.971997 | − | 0.234992i | \(-0.924493\pi\) |
0.689508 | + | 0.724278i | \(0.257827\pi\) | |||||||
\(440\) | 2.60210 | + | 4.50698i | 0.124050 | + | 0.214862i | ||||
\(441\) | −0.179877 | − | 0.311557i | −0.00856559 | − | 0.0148360i | ||||
\(442\) | 4.27645 | 0.203410 | ||||||||
\(443\) | −5.56160 | + | 9.63298i | −0.264240 | + | 0.457677i | −0.967364 | − | 0.253390i | \(-0.918454\pi\) |
0.703124 | + | 0.711067i | \(0.251788\pi\) | |||||||
\(444\) | −6.67484 | + | 11.5612i | −0.316774 | + | 0.548669i | ||||
\(445\) | −3.55774 | + | 6.16218i | −0.168653 | + | 0.292115i | ||||
\(446\) | 2.68458 | + | 4.64982i | 0.127118 | + | 0.220176i | ||||
\(447\) | 3.74331 | − | 6.48360i | 0.177052 | − | 0.306664i | ||||
\(448\) | 1.57332 | + | 2.72507i | 0.0743323 | + | 0.128747i | ||||
\(449\) | 28.7985 | 1.35909 | 0.679543 | − | 0.733636i | \(-0.262178\pi\) | ||||
0.679543 | + | 0.733636i | \(0.262178\pi\) | |||||||
\(450\) | −0.698245 | −0.0329156 | ||||||||
\(451\) | −22.6965 | − | 39.3115i | −1.06874 | − | 1.85111i | ||||
\(452\) | 5.50632 | − | 9.53722i | 0.258995 | − | 0.448593i | ||||
\(453\) | −10.7005 | − | 18.5339i | −0.502755 | − | 0.870797i | ||||
\(454\) | −1.47173 | + | 2.54911i | −0.0690716 | + | 0.119636i | ||||
\(455\) | 0.602643 | − | 1.04381i | 0.0282523 | − | 0.0489345i | ||||
\(456\) | 6.97633 | − | 12.0834i | 0.326697 | − | 0.565855i | ||||
\(457\) | 9.67323 | 0.452495 | 0.226247 | − | 0.974070i | \(-0.427354\pi\) | ||||
0.226247 | + | 0.974070i | \(0.427354\pi\) | |||||||
\(458\) | 4.99533 | + | 8.65217i | 0.233417 | + | 0.404289i | ||||
\(459\) | −15.7010 | − | 27.1949i | −0.732859 | − | 1.26935i | ||||
\(460\) | 0.325107 | − | 0.563103i | 0.0151582 | − | 0.0262548i | ||||
\(461\) | −30.3869 | −1.41526 | −0.707630 | − | 0.706583i | \(-0.750236\pi\) | ||||
−0.707630 | + | 0.706583i | \(0.750236\pi\) | |||||||
\(462\) | −9.51131 | − | 16.4741i | −0.442506 | − | 0.766443i | ||||
\(463\) | −29.1462 | −1.35454 | −0.677269 | − | 0.735736i | \(-0.736837\pi\) | ||||
−0.677269 | + | 0.735736i | \(0.736837\pi\) | |||||||
\(464\) | −0.770962 | −0.0357910 | ||||||||
\(465\) | −3.41958 | − | 2.22387i | −0.158579 | − | 0.103129i | ||||
\(466\) | −18.6440 | −0.863665 | ||||||||
\(467\) | −7.10315 | −0.328695 | −0.164347 | − | 0.986403i | \(-0.552552\pi\) | ||||
−0.164347 | + | 0.986403i | \(0.552552\pi\) | |||||||
\(468\) | 0.163182 | + | 0.282639i | 0.00754308 | + | 0.0130650i | ||||
\(469\) | 15.9624 | 0.737075 | ||||||||
\(470\) | −0.697775 | + | 1.20858i | −0.0321860 | + | 0.0557477i | ||||
\(471\) | −3.69135 | − | 6.39361i | −0.170089 | − | 0.294602i | ||||
\(472\) | 2.01944 | + | 3.49778i | 0.0929524 | + | 0.160998i | ||||
\(473\) | 20.2806 | 0.932504 | ||||||||
\(474\) | −5.33618 | + | 9.24253i | −0.245099 | + | 0.424524i | ||||
\(475\) | −7.81644 | + | 13.5385i | −0.358643 | + | 0.621188i | ||||
\(476\) | −14.2421 | + | 24.6680i | −0.652785 | + | 1.13066i | ||||
\(477\) | 1.50629 | + | 2.60897i | 0.0689683 | + | 0.119457i | ||||
\(478\) | 3.59979 | − | 6.23502i | 0.164651 | − | 0.285183i | ||||
\(479\) | −5.31801 | − | 9.21106i | −0.242986 | − | 0.420864i | 0.718577 | − | 0.695447i | \(-0.244794\pi\) |
−0.961563 | + | 0.274583i | \(0.911460\pi\) | |||||||
\(480\) | −4.24248 | −0.193642 | ||||||||
\(481\) | 4.84595 | 0.220956 | ||||||||
\(482\) | −4.64858 | − | 8.05158i | −0.211737 | − | 0.366739i | ||||
\(483\) | −2.73464 | + | 4.73653i | −0.124430 | + | 0.215520i | ||||
\(484\) | 13.0534 | + | 22.6092i | 0.593337 | + | 1.02769i | ||||
\(485\) | −2.60861 | + | 4.51824i | −0.118451 | + | 0.205163i | ||||
\(486\) | −0.749346 | + | 1.29791i | −0.0339910 | + | 0.0588742i | ||||
\(487\) | 7.64778 | − | 13.2463i | 0.346554 | − | 0.600249i | −0.639081 | − | 0.769139i | \(-0.720685\pi\) |
0.985635 | + | 0.168891i | \(0.0540185\pi\) | |||||||
\(488\) | −1.99634 | −0.0903702 | ||||||||
\(489\) | −19.2917 | − | 33.4142i | −0.872402 | − | 1.51104i | ||||
\(490\) | −0.235618 | − | 0.408102i | −0.0106441 | − | 0.0184362i | ||||
\(491\) | 13.0040 | − | 22.5236i | 0.586862 | − | 1.01647i | −0.407779 | − | 0.913081i | \(-0.633697\pi\) |
0.994641 | − | 0.103393i | \(-0.0329701\pi\) | |||||||
\(492\) | 23.6383 | 1.06570 | ||||||||
\(493\) | 1.68656 | + | 2.92121i | 0.0759589 | + | 0.131565i | ||||
\(494\) | −2.20094 | −0.0990251 | ||||||||
\(495\) | 0.459154 | 0.0206375 | ||||||||
\(496\) | 6.70493 | + | 4.36045i | 0.301060 | + | 0.195790i | ||||
\(497\) | 22.1672 | 0.994333 | ||||||||
\(498\) | −12.3272 | −0.552395 | ||||||||
\(499\) | 0.700372 | + | 1.21308i | 0.0313529 | + | 0.0543049i | 0.881276 | − | 0.472602i | \(-0.156685\pi\) |
−0.849923 | + | 0.526907i | \(0.823352\pi\) | |||||||
\(500\) | 6.17784 | 0.276281 | ||||||||
\(501\) | 2.31861 | − | 4.01594i | 0.103588 | − | 0.179419i | ||||
\(502\) | −6.94467 | − | 12.0285i | −0.309956 | − | 0.536859i | ||||
\(503\) | 8.00581 | + | 13.8665i | 0.356961 | + | 0.618275i | 0.987452 | − | 0.157922i | \(-0.0504795\pi\) |
−0.630490 | + | 0.776197i | \(0.717146\pi\) | |||||||
\(504\) | 1.50679 | 0.0671180 | ||||||||
\(505\) | 2.91332 | − | 5.04602i | 0.129641 | − | 0.224545i | ||||
\(506\) | −1.86258 | + | 3.22609i | −0.0828019 | + | 0.143417i | ||||
\(507\) | 0.896149 | − | 1.55218i | 0.0397994 | − | 0.0689346i | ||||
\(508\) | −8.19726 | − | 14.1981i | −0.363695 | − | 0.629938i | ||||
\(509\) | −2.70020 | + | 4.67688i | −0.119684 | + | 0.207299i | −0.919643 | − | 0.392756i | \(-0.871522\pi\) |
0.799958 | + | 0.600056i | \(0.204855\pi\) | |||||||
\(510\) | 1.56653 | + | 2.71330i | 0.0693669 | + | 0.120147i | ||||
\(511\) | 36.5914 | 1.61871 | ||||||||
\(512\) | 15.2328 | 0.673202 | ||||||||
\(513\) | 8.08074 | + | 13.9963i | 0.356774 | + | 0.617950i | ||||
\(514\) | 4.44794 | − | 7.70406i | 0.196190 | − | 0.339811i | ||||
\(515\) | −2.17847 | − | 3.77322i | −0.0959949 | − | 0.166268i | ||||
\(516\) | −5.28054 | + | 9.14616i | −0.232463 | + | 0.402637i | ||||
\(517\) | −13.2718 | + | 22.9874i | −0.583692 | + | 1.01098i | ||||
\(518\) | 4.86121 | − | 8.41986i | 0.213589 | − | 0.369948i | ||||
\(519\) | −7.81647 | −0.343105 | ||||||||
\(520\) | 0.491881 | + | 0.851963i | 0.0215704 | + | 0.0373610i | ||||
\(521\) | −3.54437 | − | 6.13903i | −0.155282 | − | 0.268956i | 0.777880 | − | 0.628413i | \(-0.216295\pi\) |
−0.933162 | + | 0.359457i | \(0.882962\pi\) | |||||||
\(522\) | 0.0387700 | − | 0.0671516i | 0.00169692 | − | 0.00293914i | ||||
\(523\) | −15.0058 | −0.656159 | −0.328079 | − | 0.944650i | \(-0.606401\pi\) | ||||
−0.328079 | + | 0.944650i | \(0.606401\pi\) | |||||||
\(524\) | 16.0185 | + | 27.7449i | 0.699774 | + | 1.21204i | ||||
\(525\) | −25.5409 | −1.11470 | ||||||||
\(526\) | 7.38227 | 0.321882 | ||||||||
\(527\) | 1.85417 | − | 34.9443i | 0.0807691 | − | 1.52220i | ||||
\(528\) | −13.6201 | −0.592740 | ||||||||
\(529\) | −21.9290 | −0.953433 | ||||||||
\(530\) | 1.97306 | + | 3.41744i | 0.0857042 | + | 0.148444i | ||||
\(531\) | 0.356341 | 0.0154639 | ||||||||
\(532\) | 7.32991 | − | 12.6958i | 0.317792 | − | 0.550432i | ||||
\(533\) | −4.29037 | − | 7.43113i | −0.185836 | − | 0.321878i | ||||
\(534\) | 10.6142 | + | 18.3844i | 0.459323 | + | 0.795571i | ||||
\(535\) | −3.40327 | −0.147136 | ||||||||
\(536\) | −6.51430 | + | 11.2831i | −0.281375 | + | 0.487356i | ||||
\(537\) | 6.57188 | − | 11.3828i | 0.283597 | − | 0.491205i | ||||
\(538\) | 9.16409 | − | 15.8727i | 0.395092 | − | 0.684320i | ||||
\(539\) | −4.48148 | − | 7.76214i | −0.193031 | − | 0.334339i | ||||
\(540\) | 1.56955 | − | 2.71854i | 0.0675428 | − | 0.116987i | ||||
\(541\) | −16.2396 | − | 28.1278i | −0.698194 | − | 1.20931i | −0.969092 | − | 0.246699i | \(-0.920654\pi\) |
0.270898 | − | 0.962608i | \(-0.412679\pi\) | |||||||
\(542\) | 15.3744 | 0.660386 | ||||||||
\(543\) | −28.2817 | −1.21368 | ||||||||
\(544\) | −18.1975 | − | 31.5190i | −0.780211 | − | 1.35137i | ||||
\(545\) | 1.80779 | − | 3.13118i | 0.0774371 | − | 0.134125i | ||||
\(546\) | −1.79794 | − | 3.11413i | −0.0769448 | − | 0.133272i | ||||
\(547\) | 6.41812 | − | 11.1165i | 0.274419 | − | 0.475308i | −0.695569 | − | 0.718459i | \(-0.744848\pi\) |
0.969988 | + | 0.243151i | \(0.0781812\pi\) | |||||||
\(548\) | −8.31662 | + | 14.4048i | −0.355269 | + | 0.615343i | ||||
\(549\) | −0.0880662 | + | 0.152535i | −0.00375857 | + | 0.00651004i | ||||
\(550\) | −17.3961 | −0.741772 | ||||||||
\(551\) | −0.868015 | − | 1.50345i | −0.0369787 | − | 0.0640489i | ||||
\(552\) | −2.23203 | − | 3.86598i | −0.0950013 | − | 0.164547i | ||||
\(553\) | −12.9021 | + | 22.3470i | −0.548651 | + | 0.950291i | ||||
\(554\) | 21.1110 | 0.896922 | ||||||||
\(555\) | 1.77514 | + | 3.07464i | 0.0753506 | + | 0.130511i | ||||
\(556\) | −1.36816 | −0.0580230 | ||||||||
\(557\) | −22.9685 | −0.973206 | −0.486603 | − | 0.873623i | \(-0.661764\pi\) | ||||
−0.486603 | + | 0.873623i | \(0.661764\pi\) | |||||||
\(558\) | −0.716976 | + | 0.364729i | −0.0303520 | + | 0.0154402i | ||||
\(559\) | 3.83368 | 0.162148 | ||||||||
\(560\) | −1.73140 | −0.0731648 | ||||||||
\(561\) | 29.7955 | + | 51.6073i | 1.25797 | + | 2.17886i | ||||
\(562\) | −2.30534 | −0.0972449 | ||||||||
\(563\) | −14.3311 | + | 24.8222i | −0.603983 | + | 1.04613i | 0.388228 | + | 0.921563i | \(0.373087\pi\) |
−0.992211 | + | 0.124566i | \(0.960246\pi\) | |||||||
\(564\) | −6.91123 | − | 11.9706i | −0.291015 | − | 0.504054i | ||||
\(565\) | −1.46438 | − | 2.53638i | −0.0616069 | − | 0.106706i | ||||
\(566\) | 18.0708 | 0.759573 | ||||||||
\(567\) | −14.1414 | + | 24.4936i | −0.593883 | + | 1.02864i | ||||
\(568\) | −9.04648 | + | 15.6690i | −0.379582 | + | 0.657455i | ||||
\(569\) | 1.69071 | − | 2.92839i | 0.0708781 | − | 0.122765i | −0.828408 | − | 0.560125i | \(-0.810753\pi\) |
0.899286 | + | 0.437360i | \(0.144087\pi\) | |||||||
\(570\) | −0.806236 | − | 1.39644i | −0.0337695 | − | 0.0584905i | ||||
\(571\) | −2.92200 | + | 5.06105i | −0.122282 | + | 0.211798i | −0.920667 | − | 0.390349i | \(-0.872355\pi\) |
0.798385 | + | 0.602147i | \(0.205688\pi\) | |||||||
\(572\) | 4.06552 | + | 7.04169i | 0.169988 | + | 0.294428i | ||||
\(573\) | −11.6406 | −0.486294 | ||||||||
\(574\) | −17.2155 | −0.718561 | ||||||||
\(575\) | 2.50081 | + | 4.33153i | 0.104291 | + | 0.180637i | ||||
\(576\) | −0.113298 | + | 0.196237i | −0.00472073 | + | 0.00817654i | ||||
\(577\) | −13.9236 | − | 24.1163i | −0.579646 | − | 1.00398i | −0.995520 | − | 0.0945536i | \(-0.969858\pi\) |
0.415874 | − | 0.909422i | \(-0.363476\pi\) | |||||||
\(578\) | −7.65518 | + | 13.2592i | −0.318414 | + | 0.551508i | ||||
\(579\) | −22.0092 | + | 38.1210i | −0.914670 | + | 1.58426i | ||||
\(580\) | −0.168598 | + | 0.292020i | −0.00700063 | + | 0.0121255i | ||||
\(581\) | −29.8052 | −1.23653 | ||||||||
\(582\) | 7.78259 | + | 13.4798i | 0.322599 | + | 0.558758i | ||||
\(583\) | 37.5278 | + | 65.0001i | 1.55424 | + | 2.69203i | ||||
\(584\) | −14.9331 | + | 25.8648i | −0.617935 | + | 1.07029i | ||||
\(585\) | 0.0867948 | 0.00358853 | ||||||||
\(586\) | −0.918474 | − | 1.59084i | −0.0379418 | − | 0.0657172i | ||||
\(587\) | 19.1762 | 0.791485 | 0.395742 | − | 0.918362i | \(-0.370487\pi\) | ||||
0.395742 | + | 0.918362i | \(0.370487\pi\) | |||||||
\(588\) | 4.66743 | 0.192482 | ||||||||
\(589\) | −0.954279 | + | 17.9846i | −0.0393204 | + | 0.741042i | ||||
\(590\) | 0.466763 | 0.0192163 | ||||||||
\(591\) | −25.7601 | −1.05963 | ||||||||
\(592\) | −3.48061 | − | 6.02859i | −0.143052 | − | 0.247774i | ||||
\(593\) | 17.9631 | 0.737655 | 0.368827 | − | 0.929498i | \(-0.379759\pi\) | ||||
0.368827 | + | 0.929498i | \(0.379759\pi\) | |||||||
\(594\) | −8.99216 | + | 15.5749i | −0.368953 | + | 0.639045i | ||||
\(595\) | 3.78762 | + | 6.56034i | 0.155277 | + | 0.268948i | ||||
\(596\) | 3.21016 | + | 5.56016i | 0.131493 | + | 0.227753i | ||||
\(597\) | 12.8943 | 0.527729 | ||||||||
\(598\) | −0.352087 | + | 0.609833i | −0.0143979 | + | 0.0249379i | ||||
\(599\) | −17.9919 | + | 31.1629i | −0.735131 | + | 1.27328i | 0.219535 | + | 0.975605i | \(0.429546\pi\) |
−0.954666 | + | 0.297679i | \(0.903787\pi\) | |||||||
\(600\) | 10.4233 | − | 18.0537i | 0.425530 | − | 0.737039i | ||||
\(601\) | −10.3208 | − | 17.8762i | −0.420995 | − | 0.729185i | 0.575042 | − | 0.818124i | \(-0.304986\pi\) |
−0.996037 | + | 0.0889391i | \(0.971652\pi\) | |||||||
\(602\) | 3.84575 | − | 6.66104i | 0.156741 | − | 0.271484i | ||||
\(603\) | 0.574741 | + | 0.995480i | 0.0234053 | + | 0.0405391i | ||||
\(604\) | 18.3530 | 0.746771 | ||||||||
\(605\) | 6.94299 | 0.282272 | ||||||||
\(606\) | −8.69168 | − | 15.0544i | −0.353075 | − | 0.611544i | ||||
\(607\) | 4.19470 | − | 7.26543i | 0.170258 | − | 0.294895i | −0.768252 | − | 0.640147i | \(-0.778873\pi\) |
0.938510 | + | 0.345252i | \(0.112207\pi\) | |||||||
\(608\) | 9.36562 | + | 16.2217i | 0.379826 | + | 0.657878i | ||||
\(609\) | 1.41816 | − | 2.45632i | 0.0574666 | − | 0.0995351i | ||||
\(610\) | −0.115356 | + | 0.199802i | −0.00467063 | + | 0.00808977i | ||||
\(611\) | −2.50879 | + | 4.34535i | −0.101495 | + | 0.175794i | ||||
\(612\) | −2.05120 | −0.0829147 | ||||||||
\(613\) | 19.7165 | + | 34.1501i | 0.796344 | + | 1.37931i | 0.921982 | + | 0.387232i | \(0.126569\pi\) |
−0.125639 | + | 0.992076i | \(0.540098\pi\) | |||||||
\(614\) | −6.61213 | − | 11.4525i | −0.266844 | − | 0.462187i | ||||
\(615\) | 3.14324 | − | 5.44426i | 0.126748 | − | 0.219534i | ||||
\(616\) | 37.5403 | 1.51254 | ||||||||
\(617\) | 3.74354 | + | 6.48400i | 0.150709 | + | 0.261036i | 0.931488 | − | 0.363771i | \(-0.118511\pi\) |
−0.780779 | + | 0.624807i | \(0.785178\pi\) | |||||||
\(618\) | −12.9986 | −0.522881 | ||||||||
\(619\) | 9.42029 | 0.378633 | 0.189317 | − | 0.981916i | \(-0.439373\pi\) | ||||
0.189317 | + | 0.981916i | \(0.439373\pi\) | |||||||
\(620\) | 3.11789 | − | 1.58609i | 0.125217 | − | 0.0636987i | ||||
\(621\) | 5.17075 | 0.207495 | ||||||||
\(622\) | 2.32957 | 0.0934073 | ||||||||
\(623\) | 25.6636 | + | 44.4506i | 1.02819 | + | 1.78088i | ||||
\(624\) | −2.57464 | −0.103068 | ||||||||
\(625\) | −11.2608 | + | 19.5043i | −0.450432 | + | 0.780171i | ||||
\(626\) | −7.91632 | − | 13.7115i | −0.316400 | − | 0.548020i | ||||
\(627\) | −15.3347 | − | 26.5605i | −0.612409 | − | 1.06072i | ||||
\(628\) | 6.33121 | 0.252643 | ||||||||
\(629\) | −15.2284 | + | 26.3764i | −0.607197 | + | 1.05170i | ||||
\(630\) | 0.0870681 | − | 0.150806i | 0.00346888 | − | 0.00600827i | ||||
\(631\) | −18.7612 | + | 32.4954i | −0.746873 | + | 1.29362i | 0.202442 | + | 0.979294i | \(0.435112\pi\) |
−0.949315 | + | 0.314327i | \(0.898221\pi\) | |||||||
\(632\) | −10.5307 | − | 18.2398i | −0.418890 | − | 0.725538i | ||||
\(633\) | 0.895724 | − | 1.55144i | 0.0356018 | − | 0.0616642i | ||||
\(634\) | 0.374431 | + | 0.648534i | 0.0148706 | + | 0.0257566i | ||||
\(635\) | −4.36004 | −0.173023 | ||||||||
\(636\) | −39.0850 | −1.54982 | ||||||||
\(637\) | −0.847142 | − | 1.46729i | −0.0335650 | − | 0.0581363i | ||||
\(638\) | 0.965917 | − | 1.67302i | 0.0382410 | − | 0.0662354i | ||||
\(639\) | 0.798149 | + | 1.38243i | 0.0315743 | + | 0.0546882i | ||||
\(640\) | 2.21865 | − | 3.84282i | 0.0877000 | − | 0.151901i | ||||
\(641\) | 8.69151 | − | 15.0541i | 0.343294 | − | 0.594603i | −0.641748 | − | 0.766915i | \(-0.721791\pi\) |
0.985042 | + | 0.172313i | \(0.0551240\pi\) | |||||||
\(642\) | −5.07670 | + | 8.79311i | −0.200362 | + | 0.347036i | ||||
\(643\) | 38.2575 | 1.50873 | 0.754364 | − | 0.656456i | \(-0.227945\pi\) | ||||
0.754364 | + | 0.656456i | \(0.227945\pi\) | |||||||
\(644\) | −2.34515 | − | 4.06192i | −0.0924118 | − | 0.160062i | ||||
\(645\) | 1.40433 | + | 2.43238i | 0.0552956 | + | 0.0957747i | ||||
\(646\) | 6.91646 | − | 11.9797i | 0.272125 | − | 0.471334i | ||||
\(647\) | 2.68859 | 0.105699 | 0.0528496 | − | 0.998602i | \(-0.483170\pi\) | ||||
0.0528496 | + | 0.998602i | \(0.483170\pi\) | |||||||
\(648\) | −11.5423 | − | 19.9918i | −0.453424 | − | 0.785353i | ||||
\(649\) | 8.87789 | 0.348488 | ||||||||
\(650\) | −3.28842 | −0.128982 | ||||||||
\(651\) | −26.2261 | + | 13.3413i | −1.02788 | + | 0.522888i | ||||
\(652\) | 33.0881 | 1.29583 | ||||||||
\(653\) | −5.73176 | −0.224301 | −0.112151 | − | 0.993691i | \(-0.535774\pi\) | ||||
−0.112151 | + | 0.993691i | \(0.535774\pi\) | |||||||
\(654\) | −5.39340 | − | 9.34164i | −0.210899 | − | 0.365287i | ||||
\(655\) | 8.52011 | 0.332908 | ||||||||
\(656\) | −6.16312 | + | 10.6748i | −0.240629 | + | 0.416782i | ||||
\(657\) | 1.31751 | + | 2.28199i | 0.0514009 | + | 0.0890289i | ||||
\(658\) | 5.03337 | + | 8.71806i | 0.196221 | + | 0.339865i | ||||
\(659\) | 4.96180 | 0.193284 | 0.0966422 | − | 0.995319i | \(-0.469190\pi\) | ||||
0.0966422 | + | 0.995319i | \(0.469190\pi\) | |||||||
\(660\) | −2.97852 | + | 5.15894i | −0.115939 | + | 0.200811i | ||||
\(661\) | 10.0969 | − | 17.4883i | 0.392723 | − | 0.680216i | −0.600085 | − | 0.799937i | \(-0.704866\pi\) |
0.992808 | + | 0.119720i | \(0.0381997\pi\) | |||||||
\(662\) | 0.874615 | − | 1.51488i | 0.0339929 | − | 0.0588774i | ||||
\(663\) | 5.63230 | + | 9.75543i | 0.218741 | + | 0.378870i | ||||
\(664\) | 12.1636 | − | 21.0680i | 0.472039 | − | 0.817596i | ||||
\(665\) | −1.94935 | − | 3.37638i | −0.0755927 | − | 0.130930i | ||||
\(666\) | 0.700129 | 0.0271294 | ||||||||
\(667\) | −0.555430 | −0.0215063 | ||||||||
\(668\) | 1.98837 | + | 3.44396i | 0.0769324 | + | 0.133251i | ||||
\(669\) | −7.07144 | + | 12.2481i | −0.273398 | + | 0.473539i | ||||
\(670\) | 0.752840 | + | 1.30396i | 0.0290848 | + | 0.0503763i | ||||
\(671\) | −2.19409 | + | 3.80027i | −0.0847017 | + | 0.146708i | ||||
\(672\) | −15.3015 | + | 26.5029i | −0.590267 | + | 1.02237i | ||||
\(673\) | −23.6085 | + | 40.8910i | −0.910039 | + | 1.57623i | −0.0960327 | + | 0.995378i | \(0.530615\pi\) |
−0.814006 | + | 0.580856i | \(0.802718\pi\) | |||||||
\(674\) | 14.8280 | 0.571153 | ||||||||
\(675\) | 12.0734 | + | 20.9118i | 0.464706 | + | 0.804894i | ||||
\(676\) | 0.768513 | + | 1.33110i | 0.0295582 | + | 0.0511963i | ||||
\(677\) | 7.75366 | − | 13.4297i | 0.297997 | − | 0.516146i | −0.677680 | − | 0.735357i | \(-0.737015\pi\) |
0.975678 | + | 0.219210i | \(0.0703480\pi\) | |||||||
\(678\) | −8.73773 | −0.335571 | ||||||||
\(679\) | 18.8171 | + | 32.5922i | 0.722134 | + | 1.25077i | ||||
\(680\) | −6.18295 | −0.237105 | ||||||||
\(681\) | −7.75335 | −0.297109 | ||||||||
\(682\) | −17.8628 | + | 9.08689i | −0.684001 | + | 0.347955i | ||||
\(683\) | 11.7610 | 0.450021 | 0.225011 | − | 0.974356i | \(-0.427758\pi\) | ||||
0.225011 | + | 0.974356i | \(0.427758\pi\) | |||||||
\(684\) | 1.05568 | 0.0403649 | ||||||||
\(685\) | 2.21177 | + | 3.83089i | 0.0845072 | + | 0.146371i | ||||
\(686\) | 10.6448 | 0.406422 | ||||||||
\(687\) | −13.1582 | + | 22.7907i | −0.502017 | + | 0.869519i | ||||
\(688\) | −2.75355 | − | 4.76928i | −0.104978 | − | 0.181827i | ||||
\(689\) | 7.09395 | + | 12.2871i | 0.270258 | + | 0.468101i | ||||
\(690\) | −0.515898 | −0.0196399 | ||||||||
\(691\) | 4.42430 | − | 7.66312i | 0.168308 | − | 0.291519i | −0.769517 | − | 0.638627i | \(-0.779503\pi\) |
0.937825 | + | 0.347108i | \(0.112836\pi\) | |||||||
\(692\) | 3.35159 | − | 5.80513i | 0.127408 | − | 0.220678i | ||||
\(693\) | 1.65605 | − | 2.86836i | 0.0629080 | − | 0.108960i | ||||
\(694\) | −12.1584 | − | 21.0589i | −0.461525 | − | 0.799385i | ||||
\(695\) | −0.181928 | + | 0.315109i | −0.00690093 | + | 0.0119528i | ||||
\(696\) | 1.15751 | + | 2.00486i | 0.0438752 | + | 0.0759941i | ||||
\(697\) | 53.9299 | 2.04274 | ||||||||
\(698\) | 0.756635 | 0.0286390 | ||||||||
\(699\) | −24.5550 | − | 42.5306i | −0.928757 | − | 1.60865i | ||||
\(700\) | 10.9516 | − | 18.9687i | 0.413931 | − | 0.716950i | ||||
\(701\) | 15.2515 | + | 26.4164i | 0.576043 | + | 0.997735i | 0.995928 | + | 0.0901576i | \(0.0287371\pi\) |
−0.419885 | + | 0.907577i | \(0.637930\pi\) | |||||||
\(702\) | −1.69981 | + | 2.94415i | −0.0641550 | + | 0.111120i | ||||
\(703\) | 7.83754 | − | 13.5750i | 0.295598 | − | 0.511991i | ||||
\(704\) | −2.82270 | + | 4.88906i | −0.106384 | + | 0.184263i | ||||
\(705\) | −3.67602 | −0.138447 | ||||||||
\(706\) | −3.22322 | − | 5.58278i | −0.121308 | − | 0.210111i | ||||
\(707\) | −21.0151 | − | 36.3993i | −0.790355 | − | 1.36893i | ||||
\(708\) | −2.31157 | + | 4.00375i | −0.0868740 | + | 0.150470i | ||||
\(709\) | −7.25645 | −0.272522 | −0.136261 | − | 0.990673i | \(-0.543509\pi\) | ||||
−0.136261 | + | 0.990673i | \(0.543509\pi\) | |||||||
\(710\) | 1.04548 | + | 1.81082i | 0.0392361 | + | 0.0679589i | ||||
\(711\) | −1.85820 | −0.0696879 | ||||||||
\(712\) | −41.8935 | −1.57003 | ||||||||
\(713\) | 4.83048 | + | 3.14143i | 0.180903 | + | 0.117647i | ||||
\(714\) | 22.6001 | 0.845789 | ||||||||
\(715\) | 2.16241 | 0.0808696 | ||||||||
\(716\) | 5.63586 | + | 9.76160i | 0.210622 | + | 0.364808i | ||||
\(717\) | 18.9644 | 0.708239 | ||||||||
\(718\) | 3.66566 | − | 6.34911i | 0.136801 | − | 0.236947i | ||||
\(719\) | −0.680785 | − | 1.17915i | −0.0253890 | − | 0.0439750i | 0.853052 | − | 0.521826i | \(-0.174749\pi\) |
−0.878441 | + | 0.477851i | \(0.841416\pi\) | |||||||
\(720\) | −0.0623405 | − | 0.107977i | −0.00232329 | − | 0.00402406i | ||||
\(721\) | −31.4286 | −1.17046 | ||||||||
\(722\) | 2.90434 | − | 5.03047i | 0.108089 | − | 0.187215i | ||||
\(723\) | 12.2448 | − | 21.2086i | 0.455390 | − | 0.788758i | ||||
\(724\) | 12.1268 | − | 21.0042i | 0.450689 | − | 0.780617i | ||||
\(725\) | −1.29690 | − | 2.24629i | −0.0481656 | − | 0.0834252i | ||||
\(726\) | 10.3569 | − | 17.9387i | 0.384382 | − | 0.665769i | ||||
\(727\) | −26.6852 | − | 46.2201i | −0.989698 | − | 1.71421i | −0.618838 | − | 0.785519i | \(-0.712396\pi\) |
−0.370860 | − | 0.928689i | \(-0.620937\pi\) | |||||||
\(728\) | 7.09632 | 0.263007 | ||||||||
\(729\) | 24.8280 | 0.919557 | ||||||||
\(730\) | 1.72578 | + | 2.98913i | 0.0638738 | + | 0.110633i | ||||
\(731\) | −12.0474 | + | 20.8666i | −0.445588 | + | 0.771781i | ||||
\(732\) | −1.14256 | − | 1.97898i | −0.0422304 | − | 0.0731451i | ||||
\(733\) | 4.24541 | − | 7.35327i | 0.156808 | − | 0.271599i | −0.776908 | − | 0.629614i | \(-0.783213\pi\) |
0.933716 | + | 0.358015i | \(0.116546\pi\) | |||||||
\(734\) | 1.93894 | − | 3.35834i | 0.0715674 | − | 0.123958i | ||||
\(735\) | 0.620640 | − | 1.07498i | 0.0228927 | − | 0.0396512i | ||||
\(736\) | 5.99292 | 0.220902 | ||||||||
\(737\) | 14.3191 | + | 24.8014i | 0.527451 | + | 0.913573i | ||||
\(738\) | −0.619859 | − | 1.07363i | −0.0228173 | − | 0.0395208i | ||||
\(739\) | −1.66531 | + | 2.88440i | −0.0612595 | + | 0.106105i | −0.895029 | − | 0.446009i | \(-0.852845\pi\) |
0.833769 | + | 0.552113i | \(0.186178\pi\) | |||||||
\(740\) | −3.04463 | −0.111923 | ||||||||
\(741\) | −2.89875 | − | 5.02078i | −0.106488 | − | 0.184443i | ||||
\(742\) | 28.4651 | 1.04499 | ||||||||
\(743\) | −4.95373 | −0.181735 | −0.0908674 | − | 0.995863i | \(-0.528964\pi\) | ||||
−0.0908674 | + | 0.995863i | \(0.528964\pi\) | |||||||
\(744\) | 1.27254 | − | 23.9827i | 0.0466536 | − | 0.879247i | ||||
\(745\) | 1.70745 | 0.0625562 | ||||||||
\(746\) | 22.7140 | 0.831619 | ||||||||
\(747\) | −1.07316 | − | 1.85877i | −0.0392650 | − | 0.0680090i | ||||
\(748\) | −51.1036 | −1.86853 | ||||||||
\(749\) | −12.2747 | + | 21.2604i | −0.448507 | + | 0.776837i | ||||
\(750\) | −2.45084 | − | 4.24497i | −0.0894918 | − | 0.155004i | ||||
\(751\) | −17.9872 | − | 31.1547i | −0.656362 | − | 1.13685i | −0.981550 | − | 0.191203i | \(-0.938761\pi\) |
0.325188 | − | 0.945649i | \(-0.394572\pi\) | |||||||
\(752\) | 7.20776 | 0.262840 | ||||||||
\(753\) | 18.2929 | − | 31.6843i | 0.666632 | − | 1.15464i | ||||
\(754\) | 0.182589 | − | 0.316254i | 0.00664951 | − | 0.0115173i | ||||
\(755\) | 2.44044 | − | 4.22697i | 0.0888167 | − | 0.153835i | ||||
\(756\) | −11.3219 | − | 19.6101i | −0.411773 | − | 0.713212i | ||||
\(757\) | −10.2957 | + | 17.8326i | −0.374203 | + | 0.648138i | −0.990207 | − | 0.139604i | \(-0.955417\pi\) |
0.616005 | + | 0.787743i | \(0.288750\pi\) | |||||||
\(758\) | −7.15433 | − | 12.3917i | −0.259857 | − | 0.450085i | ||||
\(759\) | −9.81245 | −0.356169 | ||||||||
\(760\) | 3.18215 | 0.115429 | ||||||||
\(761\) | 1.56717 | + | 2.71441i | 0.0568098 | + | 0.0983975i | 0.893032 | − | 0.449994i | \(-0.148574\pi\) |
−0.836222 | + | 0.548391i | \(0.815240\pi\) | |||||||
\(762\) | −6.50393 | + | 11.2651i | −0.235613 | + | 0.408093i | ||||
\(763\) | −13.0404 | − | 22.5866i | −0.472094 | − | 0.817691i | ||||
\(764\) | 4.99134 | − | 8.64526i | 0.180580 | − | 0.312775i | ||||
\(765\) | −0.272753 | + | 0.472422i | −0.00986141 | + | 0.0170805i | ||||
\(766\) | −0.723979 | + | 1.25397i | −0.0261584 | + | 0.0453077i | ||||
\(767\) | 1.67820 | 0.0605965 | ||||||||
\(768\) | −8.53186 | − | 14.7776i | −0.307867 | − | 0.533241i | ||||
\(769\) | 1.92429 | + | 3.33297i | 0.0693917 | + | 0.120190i | 0.898634 | − | 0.438700i | \(-0.144561\pi\) |
−0.829242 | + | 0.558890i | \(0.811227\pi\) | |||||||
\(770\) | 2.16922 | − | 3.75720i | 0.0781732 | − | 0.135400i | ||||
\(771\) | 23.4326 | 0.843906 | ||||||||
\(772\) | −18.8745 | − | 32.6915i | −0.679307 | − | 1.17659i | ||||
\(773\) | −38.6195 | −1.38905 | −0.694523 | − | 0.719470i | \(-0.744385\pi\) | ||||
−0.694523 | + | 0.719470i | \(0.744385\pi\) | |||||||
\(774\) | 0.553879 | 0.0199088 | ||||||||
\(775\) | −1.42578 | + | 26.8707i | −0.0512157 | + | 0.965224i | ||||
\(776\) | −30.7172 | −1.10268 | ||||||||
\(777\) | 25.6098 | 0.918747 | ||||||||
\(778\) | 5.09302 | + | 8.82137i | 0.182594 | + | 0.316262i | ||||
\(779\) | −27.7559 | −0.994457 | ||||||||
\(780\) | −0.563034 | + | 0.975204i | −0.0201599 | + | 0.0349179i | ||||
\(781\) | 19.8851 | + | 34.4420i | 0.711545 | + | 1.23243i | ||||
\(782\) | −2.21287 | − | 3.83281i | −0.0791321 | − | 0.137061i | ||||
\(783\) | −2.68150 | −0.0958290 | ||||||||
\(784\) | −1.21692 | + | 2.10777i | −0.0434615 | + | 0.0752774i | ||||
\(785\) | 0.841877 | − | 1.45817i | 0.0300479 | − | 0.0520444i | ||||
\(786\) | 12.7096 | − | 22.0136i | 0.453335 | − | 0.785199i | ||||
\(787\) | −23.5107 | − | 40.7217i | −0.838065 | − | 1.45157i | −0.891511 | − | 0.453000i | \(-0.850354\pi\) |
0.0534461 | − | 0.998571i | \(-0.482979\pi\) | |||||||
\(788\) | 11.0456 | − | 19.1315i | 0.393482 | − | 0.681531i | ||||
\(789\) | 9.72282 | + | 16.8404i | 0.346141 | + | 0.599535i | ||||
\(790\) | −2.43402 | −0.0865984 | ||||||||
\(791\) | −21.1265 | −0.751171 | ||||||||
\(792\) | 1.35167 | + | 2.34117i | 0.0480296 | + | 0.0831898i | ||||
\(793\) | −0.414752 | + | 0.718372i | −0.0147283 | + | 0.0255101i | ||||
\(794\) | 11.4090 | + | 19.7609i | 0.404890 | + | 0.701290i | ||||
\(795\) | −5.19723 | + | 9.00187i | −0.184327 | + | 0.319263i | ||||
\(796\) | −5.52890 | + | 9.57634i | −0.195967 | + | 0.339424i | ||||
\(797\) | 17.5034 | − | 30.3167i | 0.620001 | − | 1.07387i | −0.369484 | − | 0.929237i | \(-0.620466\pi\) |
0.989485 | − | 0.144636i | \(-0.0462010\pi\) | |||||||
\(798\) | −11.6315 | −0.411751 | ||||||||
\(799\) | −15.7677 | − | 27.3105i | −0.557823 | − | 0.966177i | ||||
\(800\) | 13.9931 | + | 24.2368i | 0.494732 | + | 0.856901i | ||||
\(801\) | −1.84808 | + | 3.20097i | −0.0652987 | + | 0.113101i | ||||
\(802\) | 1.86237 | 0.0657627 | ||||||||
\(803\) | 32.8245 | + | 56.8536i | 1.15835 | + | 2.00632i | ||||
\(804\) | −14.9133 | −0.525951 | ||||||||
\(805\) | −1.24736 | −0.0439637 | ||||||||
\(806\) | −3.37663 | + | 1.71771i | −0.118937 | + | 0.0605038i | ||||
\(807\) | 48.2783 | 1.69948 | ||||||||
\(808\) | 34.3053 | 1.20686 | ||||||||
\(809\) | −26.9563 | − | 46.6897i | −0.947734 | − | 1.64152i | −0.750183 | − | 0.661230i | \(-0.770035\pi\) |
−0.197551 | − | 0.980293i | \(-0.563299\pi\) | |||||||
\(810\) | −2.66782 | −0.0937377 | ||||||||
\(811\) | 21.1572 | − | 36.6454i | 0.742931 | − | 1.28679i | −0.208224 | − | 0.978081i | \(-0.566768\pi\) |
0.951155 | − | 0.308714i | \(-0.0998985\pi\) | |||||||
\(812\) | 1.21617 | + | 2.10647i | 0.0426793 | + | 0.0739227i | ||||
\(813\) | 20.2488 | + | 35.0720i | 0.710157 | + | 1.23003i | ||||
\(814\) | 17.4430 | 0.611379 | ||||||||
\(815\) | 4.39981 | − | 7.62069i | 0.154119 | − | 0.266941i | ||||
\(816\) | 8.09081 | − | 14.0137i | 0.283235 | − | 0.490578i | ||||
\(817\) | 6.20036 | − | 10.7393i | 0.216923 | − | 0.375722i | ||||
\(818\) | −11.4824 | − | 19.8882i | −0.401474 | − | 0.695374i | ||||
\(819\) | 0.313046 | − | 0.542211i | 0.0109387 | − | 0.0189464i | ||||
\(820\) | 2.69556 | + | 4.66885i | 0.0941330 | + | 0.163043i | ||||
\(821\) | 29.8910 | 1.04320 | 0.521602 | − | 0.853189i | \(-0.325335\pi\) | ||||
0.521602 | + | 0.853189i | \(0.325335\pi\) | |||||||
\(822\) | 13.1973 | 0.460308 | ||||||||
\(823\) | −10.0604 | − | 17.4251i | −0.350683 | − | 0.607401i | 0.635686 | − | 0.771947i | \(-0.280717\pi\) |
−0.986369 | + | 0.164547i | \(0.947384\pi\) | |||||||
\(824\) | 12.8261 | − | 22.2155i | 0.446819 | − | 0.773913i | ||||
\(825\) | −22.9115 | − | 39.6839i | −0.797677 | − | 1.38162i | ||||
\(826\) | 1.68349 | − | 2.91589i | 0.0585760 | − | 0.101457i | ||||
\(827\) | −8.05125 | + | 13.9452i | −0.279970 | + | 0.484922i | −0.971377 | − | 0.237544i | \(-0.923658\pi\) |
0.691407 | + | 0.722465i | \(0.256991\pi\) | |||||||
\(828\) | 0.168878 | − | 0.292506i | 0.00586893 | − | 0.0101653i | ||||
\(829\) | −54.7301 | −1.90086 | −0.950428 | − | 0.310946i | \(-0.899354\pi\) | ||||
−0.950428 | + | 0.310946i | \(0.899354\pi\) | |||||||
\(830\) | −1.40571 | − | 2.43477i | −0.0487931 | − | 0.0845121i | ||||
\(831\) | 27.8043 | + | 48.1584i | 0.964520 | + | 1.67060i | ||||
\(832\) | −0.533580 | + | 0.924188i | −0.0184986 | + | 0.0320405i | ||||
\(833\) | 10.6486 | 0.368951 | ||||||||
\(834\) | 0.542769 | + | 0.940104i | 0.0187946 | + | 0.0325531i | ||||
\(835\) | 1.05760 | 0.0365996 | ||||||||
\(836\) | 26.3013 | 0.909648 | ||||||||
\(837\) | 23.3206 | + | 15.1662i | 0.806077 | + | 0.524220i | ||||
\(838\) | 0.361422 | 0.0124851 | ||||||||
\(839\) | 5.46607 | 0.188710 | 0.0943548 | − | 0.995539i | \(-0.469921\pi\) | ||||
0.0943548 | + | 0.995539i | \(0.469921\pi\) | |||||||
\(840\) | 2.59948 | + | 4.50244i | 0.0896907 | + | 0.155349i | ||||
\(841\) | −28.7120 | −0.990068 | ||||||||
\(842\) | −7.41269 | + | 12.8392i | −0.255458 | + | 0.442467i | ||||
\(843\) | −3.03625 | − | 5.25893i | −0.104574 | − | 0.181127i | ||||
\(844\) | 0.768148 | + | 1.33047i | 0.0264408 | + | 0.0457967i | ||||
\(845\) | 0.408765 | 0.0140619 | ||||||||
\(846\) | −0.362462 | + | 0.627803i | −0.0124617 | + | 0.0215843i | ||||
\(847\) | 25.0415 | − | 43.3731i | 0.860435 | − | 1.49032i | ||||
\(848\) | 10.1905 | − | 17.6504i | 0.349942 | − | 0.606118i | ||||
\(849\) | 23.8002 | + | 41.2231i | 0.816820 | + | 1.41477i | ||||
\(850\) | 10.3339 | − | 17.8988i | 0.354449 | − | 0.613923i | ||||
\(851\) | −2.50756 | − | 4.34322i | −0.0859581 | − | 0.148884i | ||||
\(852\) | −20.7102 | −0.709521 | ||||||||
\(853\) | 39.5220 | 1.35321 | 0.676603 | − | 0.736348i | \(-0.263451\pi\) | ||||
0.676603 | + | 0.736348i | \(0.263451\pi\) | |||||||
\(854\) | 0.832116 | + | 1.44127i | 0.0284744 | + | 0.0493191i | ||||
\(855\) | 0.140376 | − | 0.243139i | 0.00480077 | − | 0.00831518i | ||||
\(856\) | −10.0187 | − | 17.3528i | −0.342431 | − | 0.593108i | ||||
\(857\) | 2.68193 | − | 4.64524i | 0.0916129 | − | 0.158678i | −0.816577 | − | 0.577236i | \(-0.804131\pi\) |
0.908190 | + | 0.418558i | \(0.137464\pi\) | |||||||
\(858\) | 3.22570 | − | 5.58707i | 0.110123 | − | 0.190739i | ||||
\(859\) | 0.669954 | − | 1.16039i | 0.0228585 | − | 0.0395921i | −0.854370 | − | 0.519665i | \(-0.826057\pi\) |
0.877228 | + | 0.480073i | \(0.159390\pi\) | |||||||
\(860\) | −2.40863 | −0.0821338 | ||||||||
\(861\) | −22.6737 | − | 39.2719i | −0.772716 | − | 1.33838i | ||||
\(862\) | 5.32842 | + | 9.22910i | 0.181487 | + | 0.314344i | ||||
\(863\) | −4.09639 | + | 7.09516i | −0.139443 | + | 0.241522i | −0.927286 | − | 0.374354i | \(-0.877864\pi\) |
0.787843 | + | 0.615876i | \(0.211198\pi\) | |||||||
\(864\) | 28.9326 | 0.984306 | ||||||||
\(865\) | −0.891340 | − | 1.54385i | −0.0303065 | − | 0.0524923i | ||||
\(866\) | −15.3183 | −0.520538 | ||||||||
\(867\) | −40.3290 | −1.36965 | ||||||||
\(868\) | 1.33704 | − | 25.1981i | 0.0453820 | − | 0.855281i | ||||
\(869\) | −46.2953 | −1.57046 | ||||||||
\(870\) | 0.267540 | 0.00907046 | ||||||||
\(871\) | 2.70677 | + | 4.68826i | 0.0917154 | + | 0.158856i | ||||
\(872\) | 21.2873 | 0.720879 | ||||||||
\(873\) | −1.35505 | + | 2.34702i | −0.0458616 | + | 0.0794346i | ||||
\(874\) | 1.13889 | + | 1.97261i | 0.0385234 | + | 0.0667246i | ||||
\(875\) | −5.92574 | − | 10.2637i | −0.200326 | − | 0.346976i | ||||
\(876\) | −34.1865 | −1.15505 | ||||||||
\(877\) | 4.21054 | − | 7.29287i | 0.142180 | − | 0.246263i | −0.786137 | − | 0.618052i | \(-0.787922\pi\) |
0.928317 | + | 0.371789i | \(0.121256\pi\) | |||||||
\(878\) | −4.02728 | + | 6.97546i | −0.135914 | + | 0.235410i | ||||
\(879\) | 2.41935 | − | 4.19044i | 0.0816027 | − | 0.141340i | ||||
\(880\) | −1.55315 | − | 2.69014i | −0.0523568 | − | 0.0906846i | ||||
\(881\) | 8.82678 | − | 15.2884i | 0.297382 | − | 0.515081i | −0.678154 | − | 0.734920i | \(-0.737220\pi\) |
0.975536 | + | 0.219839i | \(0.0705532\pi\) | |||||||
\(882\) | −0.122393 | − | 0.211990i | −0.00412117 | − | 0.00713808i | ||||
\(883\) | 14.3876 | 0.484180 | 0.242090 | − | 0.970254i | \(-0.422167\pi\) | ||||
0.242090 | + | 0.970254i | \(0.422167\pi\) | |||||||
\(884\) | −9.66022 | −0.324908 | ||||||||
\(885\) | 0.614750 | + | 1.06478i | 0.0206646 | + | 0.0357921i | ||||
\(886\) | −3.78424 | + | 6.55449i | −0.127134 | + | 0.220202i | ||||
\(887\) | 16.2678 | + | 28.1766i | 0.546218 | + | 0.946078i | 0.998529 | + | 0.0542174i | \(0.0172664\pi\) |
−0.452311 | + | 0.891860i | \(0.649400\pi\) | |||||||
\(888\) | −10.4514 | + | 18.1024i | −0.350727 | + | 0.607478i | ||||
\(889\) | −15.7255 | + | 27.2374i | −0.527416 | + | 0.913512i | ||||
\(890\) | −2.42076 | + | 4.19288i | −0.0811441 | + | 0.140546i | ||||
\(891\) | −50.7423 | −1.69993 | ||||||||
\(892\) | −6.06427 | − | 10.5036i | −0.203047 | − | 0.351688i | ||||
\(893\) | 8.11511 | + | 14.0558i | 0.271562 | + | 0.470359i | ||||
\(894\) | 2.54703 | − | 4.41158i | 0.0851854 | − | 0.147545i | ||||
\(895\) | 2.99766 | 0.100201 | ||||||||
\(896\) | −16.0042 | − | 27.7200i | −0.534662 | − | 0.926062i | ||||
\(897\) | −1.85487 | −0.0619322 | ||||||||
\(898\) | 19.5951 | 0.653898 | ||||||||
\(899\) | −2.50504 | − | 1.62911i | −0.0835479 | − | 0.0543340i | ||||
\(900\) | 1.57729 | 0.0525762 | ||||||||
\(901\) | −89.1710 | −2.97072 | ||||||||
\(902\) | −15.4432 | − | 26.7484i | −0.514203 | − | 0.890625i | ||||
\(903\) | 20.2602 | 0.674217 | ||||||||
\(904\) | 8.62177 | − | 14.9333i | 0.286756 | − | 0.496676i | ||||
\(905\) | −3.22507 | − | 5.58598i | −0.107205 | − | 0.185684i | ||||
\(906\) | −7.28087 | − | 12.6108i | −0.241891 | − | 0.418967i | ||||
\(907\) | 34.9592 | 1.16080 | 0.580401 | − | 0.814331i | \(-0.302896\pi\) | ||||
0.580401 | + | 0.814331i | \(0.302896\pi\) | |||||||
\(908\) | 3.32453 | − | 5.75826i | 0.110328 | − | 0.191094i | ||||
\(909\) | 1.51334 | − | 2.62118i | 0.0501942 | − | 0.0869389i | ||||
\(910\) | 0.410052 | − | 0.710230i | 0.0135931 | − | 0.0235439i | ||||
\(911\) | −6.02842 | − | 10.4415i | −0.199730 | − | 0.345943i | 0.748711 | − | 0.662897i | \(-0.230673\pi\) |
−0.948441 | + | 0.316954i | \(0.897340\pi\) | |||||||
\(912\) | −4.16406 | + | 7.21236i | −0.137886 | + | 0.238825i | ||||
\(913\) | −26.7369 | − | 46.3096i | −0.884861 | − | 1.53262i | ||||
\(914\) | 6.58188 | 0.217709 | ||||||||
\(915\) | −0.607718 | −0.0200905 | ||||||||
\(916\) | −11.2841 | − | 19.5447i | −0.372838 | − | 0.645774i | ||||
\(917\) | 30.7297 | − | 53.2255i | 1.01479 | − | 1.75766i | ||||
\(918\) | −10.6833 | − | 18.5040i | −0.352601 | − | 0.610723i | ||||
\(919\) | −29.2474 | + | 50.6580i | −0.964784 | + | 1.67105i | −0.254589 | + | 0.967049i | \(0.581940\pi\) |
−0.710195 | + | 0.704005i | \(0.751393\pi\) | |||||||
\(920\) | 0.509052 | − | 0.881704i | 0.0167829 | − | 0.0290689i | ||||
\(921\) | 17.4170 | − | 30.1671i | 0.573910 | − | 0.994041i | ||||
\(922\) | −20.6759 | −0.680925 | ||||||||
\(923\) | 3.75892 | + | 6.51064i | 0.123726 | + | 0.214300i | ||||
\(924\) | 21.4854 | + | 37.2138i | 0.706818 | + | 1.22424i | ||||
\(925\) | 11.7100 | − | 20.2824i | 0.385023 | − | 0.666880i | ||||
\(926\) | −19.8317 | −0.651710 | ||||||||
\(927\) | −1.13162 | − | 1.96002i | −0.0371672 | − | 0.0643754i | ||||
\(928\) | −3.10787 | −0.102021 | ||||||||
\(929\) | 29.0230 | 0.952215 | 0.476107 | − | 0.879387i | \(-0.342047\pi\) | ||||
0.476107 | + | 0.879387i | \(0.342047\pi\) | |||||||
\(930\) | −2.32675 | − | 1.51317i | −0.0762973 | − | 0.0496187i | ||||
\(931\) | −5.48045 | −0.179615 | ||||||||
\(932\) | 42.1155 | 1.37954 | ||||||||
\(933\) | 3.06816 | + | 5.31421i | 0.100447 | + | 0.173979i | ||||
\(934\) | −4.83314 | −0.158145 | ||||||||
\(935\) | −6.79538 | + | 11.7699i | −0.222233 | + | 0.384918i | ||||
\(936\) | 0.255510 | + | 0.442555i | 0.00835159 | + | 0.0144654i | ||||
\(937\) | 5.36280 | + | 9.28865i | 0.175195 | + | 0.303447i | 0.940229 | − | 0.340543i | \(-0.110611\pi\) |
−0.765034 | + | 0.643990i | \(0.777278\pi\) | |||||||
\(938\) | 10.8612 | 0.354630 | ||||||||
\(939\) | 20.8524 | − | 36.1174i | 0.680491 | − | 1.17865i | ||||
\(940\) | 1.57623 | − | 2.73010i | 0.0514108 | − | 0.0890462i | ||||
\(941\) | −26.7475 | + | 46.3281i | −0.871944 | + | 1.51025i | −0.0119619 | + | 0.999928i | \(0.503808\pi\) |
−0.859982 | + | 0.510324i | \(0.829526\pi\) | |||||||
\(942\) | −2.51168 | − | 4.35035i | −0.0818349 | − | 0.141742i | ||||
\(943\) | −4.44014 | + | 7.69055i | −0.144591 | + | 0.250439i | ||||
\(944\) | −1.20537 | − | 2.08777i | −0.0392315 | − | 0.0679510i | ||||
\(945\) | −6.02201 | −0.195896 | ||||||||
\(946\) | 13.7994 | 0.448656 | ||||||||
\(947\) | 24.2324 | + | 41.9717i | 0.787446 | + | 1.36390i | 0.927527 | + | 0.373757i | \(0.121931\pi\) |
−0.140080 | + | 0.990140i | \(0.544736\pi\) | |||||||
\(948\) | 12.0541 | − | 20.8782i | 0.391498 | − | 0.678094i | ||||
\(949\) | 6.20487 | + | 10.7471i | 0.201419 | + | 0.348867i | ||||
\(950\) | −5.31848 | + | 9.21187i | −0.172554 | + | 0.298873i | ||||
\(951\) | −0.986290 | + | 1.70830i | −0.0319826 | + | 0.0553955i | ||||
\(952\) | −22.3002 | + | 38.6251i | −0.722754 | + | 1.25185i | ||||
\(953\) | −28.4984 | −0.923154 | −0.461577 | − | 0.887100i | \(-0.652716\pi\) | ||||
−0.461577 | + | 0.887100i | \(0.652716\pi\) | |||||||
\(954\) | 1.02491 | + | 1.77520i | 0.0331828 | + | 0.0574743i | ||||
\(955\) | −1.32742 | − | 2.29916i | −0.0429544 | − | 0.0743992i | ||||
\(956\) | −8.13168 | + | 14.0845i | −0.262997 | + | 0.455525i | ||||
\(957\) | 5.08864 | 0.164492 | ||||||||
\(958\) | −3.61849 | − | 6.26741i | −0.116908 | − | 0.202491i | ||||
\(959\) | 31.9090 | 1.03039 | ||||||||
\(960\) | −0.781832 | −0.0252335 | ||||||||
\(961\) | 12.5719 | + | 28.3363i | 0.405546 | + | 0.914075i | ||||
\(962\) | 3.29729 | 0.106309 | ||||||||
\(963\) | −1.76784 | −0.0569680 | ||||||||
\(964\) | 10.5008 | + | 18.1880i | 0.338209 | + | 0.585795i | ||||
\(965\) | −10.0391 | −0.323172 | ||||||||
\(966\) | −1.86071 | + | 3.22284i | −0.0598672 | + | 0.103693i | ||||
\(967\) | 9.32172 | + | 16.1457i | 0.299766 | + | 0.519211i | 0.976082 | − | 0.217401i | \(-0.0697579\pi\) |
−0.676316 | + | 0.736612i | \(0.736425\pi\) | |||||||
\(968\) | 20.4390 | + | 35.4014i | 0.656934 | + | 1.13784i | ||||
\(969\) | 36.4373 | 1.17053 | ||||||||
\(970\) | −1.77495 | + | 3.07431i | −0.0569904 | + | 0.0987102i | ||||
\(971\) | 3.68434 | − | 6.38146i | 0.118236 | − | 0.204791i | −0.800833 | − | 0.598888i | \(-0.795609\pi\) |
0.919069 | + | 0.394097i | \(0.128943\pi\) | |||||||
\(972\) | 1.69272 | − | 2.93188i | 0.0542941 | − | 0.0940401i | ||||
\(973\) | 1.31233 | + | 2.27302i | 0.0420714 | + | 0.0728698i | ||||
\(974\) | 5.20371 | − | 9.01310i | 0.166738 | − | 0.288798i | ||||
\(975\) | −4.33101 | − | 7.50153i | −0.138703 | − | 0.240241i | ||||
\(976\) | 1.19158 | 0.0381417 | ||||||||
\(977\) | −22.4574 | −0.718477 | −0.359238 | − | 0.933246i | \(-0.616964\pi\) | ||||
−0.359238 | + | 0.933246i | \(0.616964\pi\) | |||||||
\(978\) | −13.1265 | − | 22.7358i | −0.419739 | − | 0.727010i | ||||
\(979\) | −46.0432 | + | 79.7491i | −1.47155 | + | 2.54879i | ||||
\(980\) | 0.532244 | + | 0.921874i | 0.0170019 | + | 0.0294482i | ||||
\(981\) | 0.939062 | − | 1.62650i | 0.0299820 | − | 0.0519303i | ||||
\(982\) | 8.84819 | − | 15.3255i | 0.282357 | − | 0.489057i | ||||
\(983\) | −2.84674 | + | 4.93069i | −0.0907968 | + | 0.157265i | −0.907847 | − | 0.419302i | \(-0.862275\pi\) |
0.817050 | + | 0.576567i | \(0.195608\pi\) | |||||||
\(984\) | 37.0127 | 1.17992 | ||||||||
\(985\) | −2.93752 | − | 5.08793i | −0.0935970 | − | 0.162115i | ||||
\(986\) | 1.14757 | + | 1.98766i | 0.0365462 | + | 0.0632999i | ||||
\(987\) | −13.2584 | + | 22.9642i | −0.422020 | + | 0.730960i | ||||
\(988\) | 4.97178 | 0.158173 | ||||||||
\(989\) | −1.98376 | − | 3.43597i | −0.0630798 | − | 0.109257i | ||||
\(990\) | 0.312419 | 0.00992932 | ||||||||
\(991\) | 7.72600 | 0.245424 | 0.122712 | − | 0.992442i | \(-0.460841\pi\) | ||||
0.122712 | + | 0.992442i | \(0.460841\pi\) | |||||||
\(992\) | 27.0287 | + | 17.5777i | 0.858161 | + | 0.558091i | ||||
\(993\) | 4.60765 | 0.146219 | ||||||||
\(994\) | 15.0830 | 0.478404 | ||||||||
\(995\) | 1.47038 | + | 2.54678i | 0.0466143 | + | 0.0807384i | ||||
\(996\) | 27.8463 | 0.882343 | ||||||||
\(997\) | 6.03306 | − | 10.4496i | 0.191069 | − | 0.330941i | −0.754536 | − | 0.656259i | \(-0.772138\pi\) |
0.945605 | + | 0.325318i | \(0.105471\pi\) | |||||||
\(998\) | 0.476548 | + | 0.825406i | 0.0150849 | + | 0.0261278i | ||||
\(999\) | −12.1060 | − | 20.9682i | −0.383017 | − | 0.663404i |
(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 | 403.2.h.b.118.10 | ✓ | 34 | |
31.5 | even | 3 | inner | 403.2.h.b.222.10 | yes | 34 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
403.2.h.b.118.10 | ✓ | 34 | 1.1 | even | 1 | trivial | |
403.2.h.b.222.10 | yes | 34 | 31.5 | even | 3 | inner |